A257850 = (((1/2)*differential((A000008+(-((((1/100)*((17*x^3)+(30*x^2)+(21*x)+21))/(x^4+x^3+x^2+x+1))+(-(-(((1/20)*(((3*x^3)+x)-1))/((((x^4-x^3)+x^2)-x)+1))))+(-(-(((1/10)*(x^3+x^2))/(x^4+x^3+x^2+x+1)^2)))+(-(-(21/50/(x-1))))+(-(1/80/(x+1)^2))+(-(91/400/(x-1)^2))+(-(7/100/(x-1)^3))+(1/100/(x-1)^4))))))+(((1/5)*((15*x^3)+(4*x^2)+(8*x)+9))/((((x^4-x^3)+x^2)-x)+1))+(-(-(((1/5)*((11*x^3)+(16*x^2)+(15*x)+8))/(x^4+x^3+x^2+x+1))))+(-(-(((1/2)*((2*x^3)+(2*x^2)+x))/(x^4+x^3+x^2+x+1)^2)))+(-(-(((1/2)*(((2*x^2)-x)+2))/((((x^4-x^3)+x^2)-x)+1)^2)))+(-(1/2/(x+1)))+(-(33/10/(x-1)))+(9/20/(x-1)^2))
A257890 = (((-(50/21))*differential((A000008+(-((((1/100)*((17*x^3)+(30*x^2)+(21*x)+21))/(x^4+x^3+x^2+x+1))+(-(-(((1/20)*(((3*x^3)+x)-1))/((((x^4-x^3)+x^2)-x)+1))))+(-(-(((1/10)*(x^3+x^2))/(x^4+x^3+x^2+x+1)^2)))+(-(-(1/10/(x+1))))+(-(1/80/(x+1)^2))+(-(91/400/(x-1)^2))+(-(7/100/(x-1)^3))+(1/100/(x-1)^4))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257850 = ((4*(A000008+(-((((1/100)*((17*x^3)+(30*x^2)+(21*x)+21))/(x^4+x^3+x^2+x+1))+(-(-(((1/20)*(((3*x^3)+x)-1))/((((x^4-x^3)+x^2)-x)+1))))+(-(-(((1/10)*(x^3+x^2))/(x^4+x^3+x^2+x+1)^2)))+(-(-(1/10/(x+1))))+(-(-(21/50/(x-1))))+(-(91/400/(x-1)^2))+(-(7/100/(x-1)^3))+(1/100/(x-1)^4)))))+(((1/5)*((15*x^3)+(4*x^2)+(8*x)+9))/((((x^4-x^3)+x^2)-x)+1))+(-(-(((1/5)*((11*x^3)+(16*x^2)+(15*x)+8))/(x^4+x^3+x^2+x+1))))+(-(-(((1/2)*((2*x^3)+(2*x^2)+x))/(x^4+x^3+x^2+x+1)^2)))+(-(-(((1/2)*(((2*x^2)-x)+2))/((((x^4-x^3)+x^2)-x)+1)^2)))+(-(1/2/(x+1)))+(-(33/10/(x-1)))+(9/20/(x-1)^2))
A257171 = (((-5)*differential((A000008+(-((((1/100)*((17*x^3)+(30*x^2)+(21*x)+21))/(x^4+x^3+x^2+x+1))+(-(-(((1/20)*(((3*x^3)+x)-1))/((((x^4-x^3)+x^2)-x)+1))))+(-(-(((1/10)*(x^3+x^2))/(x^4+x^3+x^2+x+1)^2)))+(-(-(1/10/(x+1))))+(-(-(21/50/(x-1))))+(-(91/400/(x-1)^2))+(-(7/100/(x-1)^3))+(1/100/(x-1)^4))))))+(2*x)+(-(-(3/8/(x+1))))+(-(-(3/8/(x-1))))+(-(3/4/(x-1)^2))+(-(3/8/(x-1)^3))+(-(3/4/(x-1)^4))+(-1))
A257890 = (((-(400/91))*(A000008+(-((((1/100)*((17*x^3)+(30*x^2)+(21*x)+21))/(x^4+x^3+x^2+x+1))+(-(-(((1/20)*(((3*x^3)+x)-1))/((((x^4-x^3)+x^2)-x)+1))))+(-(-(((1/10)*(x^3+x^2))/(x^4+x^3+x^2+x+1)^2)))+(-(-(1/10/(x+1))))+(-(-(21/50/(x-1))))+(-(1/80/(x+1)^2))+(-(7/100/(x-1)^3))+(1/100/(x-1)^4)))))+(1/(x-1)^4)+(1/(x-1)^6))
A257464 = (((-(25/39))*differential((A000008+(-((((1/100)*((17*x^3)+(30*x^2)+(21*x)+21))/(x^4+x^3+x^2+x+1))+(-(-(((1/20)*(((3*x^3)+x)-1))/((((x^4-x^3)+x^2)-x)+1))))+(-(-(((1/10)*(x^3+x^2))/(x^4+x^3+x^2+x+1)^2)))+(-(-(1/10/(x+1))))+(-(-(21/50/(x-1))))+(-(1/80/(x+1)^2))+(-(7/100/(x-1)^3))+(1/100/(x-1)^4))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257464 = (((25/6)*(A000008+(-((((1/100)*((17*x^3)+(30*x^2)+(21*x)+21))/(x^4+x^3+x^2+x+1))+(-(-(((1/20)*(((3*x^3)+x)-1))/((((x^4-x^3)+x^2)-x)+1))))+(-(-(((1/10)*(x^3+x^2))/(x^4+x^3+x^2+x+1)^2)))+(-(-(1/10/(x+1))))+(-(-(21/50/(x-1))))+(-(1/80/(x+1)^2))+(-(91/400/(x-1)^2))+(1/100/(x-1)^4)))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257890 = (((200/7)*integrate((A000008+(-((((1/100)*((17*x^3)+(30*x^2)+(21*x)+21))/(x^4+x^3+x^2+x+1))+(-(-(((1/20)*(((3*x^3)+x)-1))/((((x^4-x^3)+x^2)-x)+1))))+(-(-(((1/10)*(x^3+x^2))/(x^4+x^3+x^2+x+1)^2)))+(-(-(1/10/(x+1))))+(-(-(21/50/(x-1))))+(-(1/80/(x+1)^2))+(-(91/400/(x-1)^2))+(1/100/(x-1)^4))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257890 = (((100/21)*differential((A000008+(-((((1/100)*((17*x^3)+(30*x^2)+(21*x)+21))/(x^4+x^3+x^2+x+1))+(-(-(((1/20)*(((3*x^3)+x)-1))/((((x^4-x^3)+x^2)-x)+1))))+(-(-(((1/10)*(x^3+x^2))/(x^4+x^3+x^2+x+1)^2)))+(-(-(1/10/(x+1))))+(-(-(21/50/(x-1))))+(-(1/80/(x+1)^2))+(-(91/400/(x-1)^2))+(1/100/(x-1)^4))))))+(1/(x-1)^2)+(1/(x-1)^6))
A257890 = ((100*(A000008+(-((((1/100)*((17*x^3)+(30*x^2)+(21*x)+21))/(x^4+x^3+x^2+x+1))+(-(-(((1/20)*(((3*x^3)+x)-1))/((((x^4-x^3)+x^2)-x)+1))))+(-(-(((1/10)*(x^3+x^2))/(x^4+x^3+x^2+x+1)^2)))+(-(-(1/10/(x+1))))+(-(-(21/50/(x-1))))+(-(1/80/(x+1)^2))+(-(91/400/(x-1)^2))+(-(7/100/(x-1)^3))))))+(1/(x-1)^2)+(1/(x-1)^6))
A257464 = (((175/2)*integrate((A000008+(-((((1/100)*((17*x^3)+(30*x^2)+(21*x)+21))/(x^4+x^3+x^2+x+1))+(-(-(((1/20)*(((3*x^3)+x)-1))/((((x^4-x^3)+x^2)-x)+1))))+(-(-(((1/10)*(x^3+x^2))/(x^4+x^3+x^2+x+1)^2)))+(-(-(1/10/(x+1))))+(-(-(21/50/(x-1))))+(-(1/80/(x+1)^2))+(-(91/400/(x-1)^2))+(-(7/100/(x-1)^3)))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257464 = (((25/2)*differential((A000008+(-((((1/100)*((17*x^3)+(30*x^2)+(21*x)+21))/(x^4+x^3+x^2+x+1))+(-(-(((1/20)*(((3*x^3)+x)-1))/((((x^4-x^3)+x^2)-x)+1))))+(-(-(((1/10)*(x^3+x^2))/(x^4+x^3+x^2+x+1)^2)))+(-(-(1/10/(x+1))))+(-(-(21/50/(x-1))))+(-(1/80/(x+1)^2))+(-(91/400/(x-1)^2))+(-(7/100/(x-1)^3)))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(7/24/(x-1)^3))+(-(1/2/(x-1)^4)))
A257890 = ((1*differential(A000012))+(1/(x-1)^4)+(1/(x-1)^6))
A257890 = (((-1)*differential((A000027+(-(1/(x-1)^2)))))+(1/(x-1)^4)+(1/(x-1)^6))
A257890 = ((1*(A000027+(-(1/(x-1)))))+(1/(x-1)^4)+(1/(x-1)^6))
A257464 = (((7/48)*differential((A000027+(-(1/(x-1))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257850 = (((-(1/10))*differential((A000034+(-(-(3/2/(x-1)))))))+(((1/5)*((15*x^3)+(4*x^2)+(8*x)+9))/((((x^4-x^3)+x^2)-x)+1))+(-(-(((1/5)*((11*x^3)+(16*x^2)+(15*x)+8))/(x^4+x^3+x^2+x+1))))+(-(-(((1/2)*((2*x^3)+(2*x^2)+x))/(x^4+x^3+x^2+x+1)^2)))+(-(-(((1/2)*(((2*x^2)-x)+2))/((((x^4-x^3)+x^2)-x)+1)^2)))+(-(1/2/(x+1)))+(-(33/10/(x-1)))+(9/20/(x-1)^2))
A257890 = (((2/3)*differential((A000034+(-(-(1/2/(x+1)))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257850 = (((-(1/10))*differential((A000035+(-(-(1/2/(x-1)))))))+(((1/5)*((15*x^3)+(4*x^2)+(8*x)+9))/((((x^4-x^3)+x^2)-x)+1))+(-(-(((1/5)*((11*x^3)+(16*x^2)+(15*x)+8))/(x^4+x^3+x^2+x+1))))+(-(-(((1/2)*((2*x^3)+(2*x^2)+x))/(x^4+x^3+x^2+x+1)^2)))+(-(-(((1/2)*(((2*x^2)-x)+2))/((((x^4-x^3)+x^2)-x)+1)^2)))+(-(1/2/(x+1)))+(-(33/10/(x-1)))+(9/20/(x-1)^2))
A257890 = ((2*differential((A000035+(-(-(1/2/(x+1)))))))+(1/(x-1)^4)+(1/(x-1)^6))
A255381 = (((729/10000)*differential((A000042+(-(1/9/(x-1))))))+(-(9/50/((10*x)-1)))+(1/100))
A257890 = (((-9)*differential((A000042+(-(-(10/9/((10*x)-1)))))))+(1/(x-1)^4)+(1/(x-1)^6))
A248917 = (((-(3/2))*differential(A000079))+(-(1/((2*x)-1)))+(-(1/(x-1)))+(-(2/((2*x)-1)^3)))
A255978 = ((2*A000045)+(((1/3)*(x+2))/(x^2+x+1))+(2/3/(x-1)))
A248917 = (((-(3/2))*differential((A000051+(-(-(1/(x-1)))))))+(-(1/((2*x)-1)))+(-(1/(x-1)))+(-(2/((2*x)-1)^3)))
A257890 = ((1*differential((A000051+(-(-(1/((2*x)-1)))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257850 = (((-(16/17))*differential((A000064+(-((((1/500)*((93*x^3)+(101*x^2)+(44*x)+32))/(x^4+x^3+x^2+x+1))+(-(-(-(((1/20)*((3*x^3)-(3*x^2)-4))/((((x^4-x^3)+x^2)-x)+1)))))+(-(-(-(((1/50)*((2*x^3)-x^2-(4*x)-2))/(x^4+x^3+x^2+x+1)^2))))+(-(-(-(3113/8000/(x-1)))))+(-(-(1/160/(x+1)^2)))+(-(-(21/50/(x-1)^2)))+(-(-(91/400/(x-1)^3)))+(-(7/100/(x-1)^4))+(-(1/100/(x-1)^5)))))))+(((1/5)*((15*x^3)+(4*x^2)+(8*x)+9))/((((x^4-x^3)+x^2)-x)+1))+(-(-(((1/5)*((11*x^3)+(16*x^2)+(15*x)+8))/(x^4+x^3+x^2+x+1))))+(-(-(((1/2)*((2*x^3)+(2*x^2)+x))/(x^4+x^3+x^2+x+1)^2)))+(-(-(((1/2)*(((2*x^2)-x)+2))/((((x^4-x^3)+x^2)-x)+1)^2)))+(-(1/2/(x+1)))+(-(33/10/(x-1)))+(9/20/(x-1)^2))
A257890 = (((8000/3113)*differential((A000064+(-((((1/500)*((93*x^3)+(101*x^2)+(44*x)+32))/(x^4+x^3+x^2+x+1))+(-(-(-(((1/20)*((3*x^3)-(3*x^2)-4))/((((x^4-x^3)+x^2)-x)+1)))))+(-(-(-(((1/50)*((2*x^3)-x^2-(4*x)-2))/(x^4+x^3+x^2+x+1)^2))))+(-(-(-(17/320/(x+1)))))+(-(-(1/160/(x+1)^2)))+(-(-(21/50/(x-1)^2)))+(-(-(91/400/(x-1)^3)))+(-(7/100/(x-1)^4))+(-(1/100/(x-1)^5)))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257850 = (((-8)*(A000064+(-((((1/500)*((93*x^3)+(101*x^2)+(44*x)+32))/(x^4+x^3+x^2+x+1))+(-(-(-(((1/20)*((3*x^3)-(3*x^2)-4))/((((x^4-x^3)+x^2)-x)+1)))))+(-(-(-(((1/50)*((2*x^3)-x^2-(4*x)-2))/(x^4+x^3+x^2+x+1)^2))))+(-(-(-(17/320/(x+1)))))+(-(-(-(3113/8000/(x-1)))))+(-(-(21/50/(x-1)^2)))+(-(-(91/400/(x-1)^3)))+(-(7/100/(x-1)^4))+(-(1/100/(x-1)^5))))))+(((1/5)*((15*x^3)+(4*x^2)+(8*x)+9))/((((x^4-x^3)+x^2)-x)+1))+(-(-(((1/5)*((11*x^3)+(16*x^2)+(15*x)+8))/(x^4+x^3+x^2+x+1))))+(-(-(((1/2)*((2*x^3)+(2*x^2)+x))/(x^4+x^3+x^2+x+1)^2)))+(-(-(((1/2)*(((2*x^2)-x)+2))/((((x^4-x^3)+x^2)-x)+1)^2)))+(-(1/2/(x+1)))+(-(33/10/(x-1)))+(9/20/(x-1)^2))
A257171 = ((10*differential((A000064+(-((((1/500)*((93*x^3)+(101*x^2)+(44*x)+32))/(x^4+x^3+x^2+x+1))+(-(-(-(((1/20)*((3*x^3)-(3*x^2)-4))/((((x^4-x^3)+x^2)-x)+1)))))+(-(-(-(((1/50)*((2*x^3)-x^2-(4*x)-2))/(x^4+x^3+x^2+x+1)^2))))+(-(-(-(17/320/(x+1)))))+(-(-(-(3113/8000/(x-1)))))+(-(-(21/50/(x-1)^2)))+(-(-(91/400/(x-1)^3)))+(-(7/100/(x-1)^4))+(-(1/100/(x-1)^5)))))))+(2*x)+(-(-(3/8/(x+1))))+(-(-(3/8/(x-1))))+(-(3/4/(x-1)^2))+(-(3/8/(x-1)^3))+(-(3/4/(x-1)^4))+(-1))
A257890 = (((50/21)*(A000064+(-((((1/500)*((93*x^3)+(101*x^2)+(44*x)+32))/(x^4+x^3+x^2+x+1))+(-(-(-(((1/20)*((3*x^3)-(3*x^2)-4))/((((x^4-x^3)+x^2)-x)+1)))))+(-(-(-(((1/50)*((2*x^3)-x^2-(4*x)-2))/(x^4+x^3+x^2+x+1)^2))))+(-(-(-(17/320/(x+1)))))+(-(-(-(3113/8000/(x-1)))))+(-(-(1/160/(x+1)^2)))+(-(-(91/400/(x-1)^3)))+(-(7/100/(x-1)^4))+(-(1/100/(x-1)^5))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257464 = (((25/72)*differential((A000064+(-((((1/500)*((93*x^3)+(101*x^2)+(44*x)+32))/(x^4+x^3+x^2+x+1))+(-(-(-(((1/20)*((3*x^3)-(3*x^2)-4))/((((x^4-x^3)+x^2)-x)+1)))))+(-(-(-(((1/50)*((2*x^3)-x^2-(4*x)-2))/(x^4+x^3+x^2+x+1)^2))))+(-(-(-(17/320/(x+1)))))+(-(-(-(3113/8000/(x-1)))))+(-(-(1/160/(x+1)^2)))+(-(-(91/400/(x-1)^3)))+(-(7/100/(x-1)^4))+(-(1/100/(x-1)^5)))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257464 = (((-(50/39))*(A000064+(-((((1/500)*((93*x^3)+(101*x^2)+(44*x)+32))/(x^4+x^3+x^2+x+1))+(-(-(-(((1/20)*((3*x^3)-(3*x^2)-4))/((((x^4-x^3)+x^2)-x)+1)))))+(-(-(-(((1/50)*((2*x^3)-x^2-(4*x)-2))/(x^4+x^3+x^2+x+1)^2))))+(-(-(-(17/320/(x+1)))))+(-(-(-(3113/8000/(x-1)))))+(-(-(1/160/(x+1)^2)))+(-(-(21/50/(x-1)^2)))+(-(7/100/(x-1)^4))+(-(1/100/(x-1)^5))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257890 = (((-(800/91))*integrate((A000064+(-((((1/500)*((93*x^3)+(101*x^2)+(44*x)+32))/(x^4+x^3+x^2+x+1))+(-(-(-(((1/20)*((3*x^3)-(3*x^2)-4))/((((x^4-x^3)+x^2)-x)+1)))))+(-(-(-(((1/50)*((2*x^3)-x^2-(4*x)-2))/(x^4+x^3+x^2+x+1)^2))))+(-(-(-(17/320/(x+1)))))+(-(-(-(3113/8000/(x-1)))))+(-(-(1/160/(x+1)^2)))+(-(-(21/50/(x-1)^2)))+(-(7/100/(x-1)^4))+(-(1/100/(x-1)^5)))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257890 = (((-(400/273))*differential((A000064+(-((((1/500)*((93*x^3)+(101*x^2)+(44*x)+32))/(x^4+x^3+x^2+x+1))+(-(-(-(((1/20)*((3*x^3)-(3*x^2)-4))/((((x^4-x^3)+x^2)-x)+1)))))+(-(-(-(((1/50)*((2*x^3)-x^2-(4*x)-2))/(x^4+x^3+x^2+x+1)^2))))+(-(-(-(17/320/(x+1)))))+(-(-(-(3113/8000/(x-1)))))+(-(-(1/160/(x+1)^2)))+(-(-(21/50/(x-1)^2)))+(-(7/100/(x-1)^4))+(-(1/100/(x-1)^5)))))))+(1/(x-1)^2)+(1/(x-1)^6))
A257890 = (((-(100/7))*(A000064+(-((((1/500)*((93*x^3)+(101*x^2)+(44*x)+32))/(x^4+x^3+x^2+x+1))+(-(-(-(((1/20)*((3*x^3)-(3*x^2)-4))/((((x^4-x^3)+x^2)-x)+1)))))+(-(-(-(((1/50)*((2*x^3)-x^2-(4*x)-2))/(x^4+x^3+x^2+x+1)^2))))+(-(-(-(17/320/(x+1)))))+(-(-(-(3113/8000/(x-1)))))+(-(-(1/160/(x+1)^2)))+(-(-(21/50/(x-1)^2)))+(-(-(91/400/(x-1)^3)))+(-(1/100/(x-1)^5))))))+(1/(x-1)^2)+(1/(x-1)^6))
A257464 = (((-(25/2))*integrate((A000064+(-((((1/500)*((93*x^3)+(101*x^2)+(44*x)+32))/(x^4+x^3+x^2+x+1))+(-(-(-(((1/20)*((3*x^3)-(3*x^2)-4))/((((x^4-x^3)+x^2)-x)+1)))))+(-(-(-(((1/50)*((2*x^3)-x^2-(4*x)-2))/(x^4+x^3+x^2+x+1)^2))))+(-(-(-(17/320/(x+1)))))+(-(-(-(3113/8000/(x-1)))))+(-(-(1/160/(x+1)^2)))+(-(-(21/50/(x-1)^2)))+(-(-(91/400/(x-1)^3)))+(-(1/100/(x-1)^5)))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257464 = (((-(25/14))*differential((A000064+(-((((1/500)*((93*x^3)+(101*x^2)+(44*x)+32))/(x^4+x^3+x^2+x+1))+(-(-(-(((1/20)*((3*x^3)-(3*x^2)-4))/((((x^4-x^3)+x^2)-x)+1)))))+(-(-(-(((1/50)*((2*x^3)-x^2-(4*x)-2))/(x^4+x^3+x^2+x+1)^2))))+(-(-(-(17/320/(x+1)))))+(-(-(-(3113/8000/(x-1)))))+(-(-(1/160/(x+1)^2)))+(-(-(21/50/(x-1)^2)))+(-(-(91/400/(x-1)^3)))+(-(1/100/(x-1)^5)))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(7/24/(x-1)^3))+(-(1/2/(x-1)^4)))
A257464 = ((50*(A000064+(-((((1/500)*((93*x^3)+(101*x^2)+(44*x)+32))/(x^4+x^3+x^2+x+1))+(-(-(-(((1/20)*((3*x^3)-(3*x^2)-4))/((((x^4-x^3)+x^2)-x)+1)))))+(-(-(-(((1/50)*((2*x^3)-x^2-(4*x)-2))/(x^4+x^3+x^2+x+1)^2))))+(-(-(-(17/320/(x+1)))))+(-(-(-(3113/8000/(x-1)))))+(-(-(1/160/(x+1)^2)))+(-(-(21/50/(x-1)^2)))+(-(-(91/400/(x-1)^3)))+(-(7/100/(x-1)^4))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(7/24/(x-1)^3))+(-(1/2/(x-1)^4)))
A257890 = ((400*integrate((A000064+(-((((1/500)*((93*x^3)+(101*x^2)+(44*x)+32))/(x^4+x^3+x^2+x+1))+(-(-(-(((1/20)*((3*x^3)-(3*x^2)-4))/((((x^4-x^3)+x^2)-x)+1)))))+(-(-(-(((1/50)*((2*x^3)-x^2-(4*x)-2))/(x^4+x^3+x^2+x+1)^2))))+(-(-(-(17/320/(x+1)))))+(-(-(-(3113/8000/(x-1)))))+(-(-(1/160/(x+1)^2)))+(-(-(21/50/(x-1)^2)))+(-(-(91/400/(x-1)^3)))+(-(7/100/(x-1)^4)))))))+(1/(x-1)^2)+(1/(x-1)^6))
A257890 = ((20*differential((A000064+(-((((1/500)*((93*x^3)+(101*x^2)+(44*x)+32))/(x^4+x^3+x^2+x+1))+(-(-(-(((1/20)*((3*x^3)-(3*x^2)-4))/((((x^4-x^3)+x^2)-x)+1)))))+(-(-(-(((1/50)*((2*x^3)-x^2-(4*x)-2))/(x^4+x^3+x^2+x+1)^2))))+(-(-(-(17/320/(x+1)))))+(-(-(-(3113/8000/(x-1)))))+(-(-(1/160/(x+1)^2)))+(-(-(21/50/(x-1)^2)))+(-(-(91/400/(x-1)^3)))+(-(7/100/(x-1)^4)))))))+(1/(x-1)^2)+(1/(x-1)^4))
A255978 = ((2*(A000071+(-((1/(x-1))+1))))+(((1/3)*(x+2))/(x^2+x+1))+(2/3/(x-1)))
A257890 = (((-1)*differential((A000071+(-((-(x/((x^2+x)-1)))+1)))))+(1/(x-1)^4)+(1/(x-1)^6))
A108361 = (((1/4/x^2)*A000073)+(-(-(((1/2)*((x^2+x)-1))/((x^3+x^2+x)-1)^2)))+(-(1/16/(x+1)))+(-(1/16/(x-1)))+(1/8/(x-1)^2))
A108361 = (((1/4/x^2)*A000073)+(-(-(((1/2)*((x^2+x)-1))/((x^3+x^2+x)-1)^2)))+(-(1/16/(x+1)))+(-(1/16/(x-1)))+(1/8/(x-1)^2))
A238914 = (((-(1/x^3))*A000078)+(-(((1/13)*((((((2*x^5)-(4*x^4))+(6*x^3))-(12*x^2))+(18*x))-11))/((((((x^6-x^5)+x^4)-(3*x^3))+(3*x^2))-(3*x))+1)))+(2/13/(x+1)))
A238914 = (((-(1/x^3))*A000078)+(-(((1/13)*((((((2*x^5)-(4*x^4))+(6*x^3))-(12*x^2))+(18*x))-11))/((((((x^6-x^5)+x^4)-(3*x^3))+(3*x^2))-(3*x))+1)))+(2/13/(x+1)))
A255978 = (((-(2*x))*(A000100+(-(-(1/((x^3+x^2+x)-1))))))+(((1/3)*(x+2))/(x^2+x+1))+(2/3/(x-1)))
A213589 = ((1*differential((A000100+(-(-(1/((x^3+x^2+x)-1)))))))+(-(((2*x)+1)/((x^2+x)-1)^3)))
A257890 = ((1*differential((A000124+(-((-(1/(x-1)^2))+(-(1/(x-1)^3)))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257890 = (((-1)*(A000124+(-((-(1/(x-1)))+(-(1/(x-1)^3))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257464 = (((-(7/48))*differential((A000124+(-((-(1/(x-1)))+(-(1/(x-1)^3)))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257464 = (((7/24)*(A000124+(-((-(1/(x-1)))+(-(1/(x-1)^2))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257890 = ((2*integrate((A000124+(-((-(1/(x-1)))+(-(1/(x-1)^2)))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257890 = (((1/3)*differential((A000124+(-((-(1/(x-1)))+(-(1/(x-1)^2)))))))+(1/(x-1)^2)+(1/(x-1)^6))
A257890 = ((1*differential((A000124+(-((-(1/(x-1)^2))+(-(1/(x-1)^3)))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257890 = (((-1)*(A000124+(-((-(1/(x-1)))+(-(1/(x-1)^3))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257464 = (((-(7/48))*differential((A000124+(-((-(1/(x-1)))+(-(1/(x-1)^3)))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257464 = (((7/24)*(A000124+(-((-(1/(x-1)))+(-(1/(x-1)^2))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257890 = ((2*integrate((A000124+(-((-(1/(x-1)))+(-(1/(x-1)^2)))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257890 = (((1/3)*differential((A000124+(-((-(1/(x-1)))+(-(1/(x-1)^2)))))))+(1/(x-1)^2)+(1/(x-1)^6))
A257890 = (((1/2)*(A000125+(-((2/(x-1)^3)+(1/(x-1)^4)))))+(1/(x-1)^4)+(1/(x-1)^6))
A257464 = (((7/96)*differential((A000125+(-((2/(x-1)^3)+(1/(x-1)^4))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257464 = (((-(7/48))*(A000125+(-((2/(x-1)^2)+(1/(x-1)^4)))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257890 = (((-1)*integrate((A000125+(-((2/(x-1)^2)+(1/(x-1)^4))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257890 = (((-(1/6))*differential((A000125+(-((2/(x-1)^2)+(1/(x-1)^4))))))+(1/(x-1)^2)+(1/(x-1)^6))
A257890 = ((1*(A000125+(-((2/(x-1)^2)+(2/(x-1)^3)))))+(1/(x-1)^2)+(1/(x-1)^6))
A257464 = (((7/8)*integrate((A000125+(-((2/(x-1)^2)+(2/(x-1)^3))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257464 = (((1/8)*differential((A000125+(-((2/(x-1)^2)+(2/(x-1)^3))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(7/24/(x-1)^3))+(-(1/2/(x-1)^4)))
A257890 = ((1*differential((A000126+(-((-(((2*x)+3)/((x^2+x)-1)))+(-(1/(x-1)^2)))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257890 = (((-1)*(A000126+(-((-(((2*x)+3)/((x^2+x)-1)))+(-(1/(x-1)))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257464 = (((-(7/48))*differential((A000126+(-((-(((2*x)+3)/((x^2+x)-1)))+(-(1/(x-1))))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257890 = ((1*differential((A000127+(-((-(2/(x-1)^2))+(-(4/(x-1)^3))+(-(3/(x-1)^4))+(-(1/(x-1)^5)))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257890 = (((-(1/2))*(A000127+(-((-(1/(x-1)))+(-(4/(x-1)^3))+(-(3/(x-1)^4))+(-(1/(x-1)^5))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257464 = (((-(7/96))*differential((A000127+(-((-(1/(x-1)))+(-(4/(x-1)^3))+(-(3/(x-1)^4))+(-(1/(x-1)^5)))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257464 = (((7/96)*(A000127+(-((-(1/(x-1)))+(-(2/(x-1)^2))+(-(3/(x-1)^4))+(-(1/(x-1)^5))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257890 = (((1/2)*integrate((A000127+(-((-(1/(x-1)))+(-(2/(x-1)^2))+(-(3/(x-1)^4))+(-(1/(x-1)^5)))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257890 = (((1/12)*differential((A000127+(-((-(1/(x-1)))+(-(2/(x-1)^2))+(-(3/(x-1)^4))+(-(1/(x-1)^5)))))))+(1/(x-1)^2)+(1/(x-1)^6))
A257890 = (((-(1/3))*(A000127+(-((-(1/(x-1)))+(-(2/(x-1)^2))+(-(4/(x-1)^3))+(-(1/(x-1)^5))))))+(1/(x-1)^2)+(1/(x-1)^6))
A257464 = (((-(7/24))*integrate((A000127+(-((-(1/(x-1)))+(-(2/(x-1)^2))+(-(4/(x-1)^3))+(-(1/(x-1)^5)))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257464 = (((-(1/24))*differential((A000127+(-((-(1/(x-1)))+(-(2/(x-1)^2))+(-(4/(x-1)^3))+(-(1/(x-1)^5)))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(7/24/(x-1)^3))+(-(1/2/(x-1)^4)))
A257464 = (((1/2)*(A000127+(-((-(1/(x-1)))+(-(2/(x-1)^2))+(-(4/(x-1)^3))+(-(3/(x-1)^4))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(7/24/(x-1)^3))+(-(1/2/(x-1)^4)))
A257890 = ((4*integrate((A000127+(-((-(1/(x-1)))+(-(2/(x-1)^2))+(-(4/(x-1)^3))+(-(3/(x-1)^4)))))))+(1/(x-1)^2)+(1/(x-1)^6))
A257890 = (((1/5)*differential((A000127+(-((-(1/(x-1)))+(-(2/(x-1)^2))+(-(4/(x-1)^3))+(-(3/(x-1)^4)))))))+(1/(x-1)^2)+(1/(x-1)^4))
A257890 = (((-(1/3))*differential((A000128+(-((-(((3*x)+5)/((x^2+x)-1)))+(1/(x-1)^3))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257464 = (((-(7/24))*(A000128+(-((-(((3*x)+5)/((x^2+x)-1)))+(3/(x-1))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257890 = (((-2)*integrate((A000128+(-((-(((3*x)+5)/((x^2+x)-1)))+(3/(x-1)))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257890 = (((-(1/3))*differential((A000128+(-((-(((3*x)+5)/((x^2+x)-1)))+(3/(x-1)))))))+(1/(x-1)^2)+(1/(x-1)^6))
A228748 = ((1*A000129)+(-((x-2)/((x^2+x)-1))))
A245926 = (((2*sqrt(2)*sqrt((-((x-sqrt(((x^2-(14*x))+1))-1)/((x^2-(14*x))+1)))))/((sqrt(2)*log((((x-sqrt(2))+1)/(x+sqrt(2)+1))))-(2*log(((x^2+(2*x))-1)))))*integrate(A000129))
A228748 = ((1*A000129)+(-((x-2)/((x^2+x)-1))))
A245926 = (((2*sqrt(2)*sqrt((-((x-sqrt(((x^2-(14*x))+1))-1)/((x^2-(14*x))+1)))))/((sqrt(2)*log((((x-sqrt(2))+1)/(x+sqrt(2)+1))))-(2*log(((x^2+(2*x))-1)))))*integrate(A000129))
A257890 = (((-1)*(A000217+(-(-(1/(x-1)^3)))))+(1/(x-1)^4)+(1/(x-1)^6))
A257464 = (((-(7/48))*differential((A000217+(-(-(1/(x-1)^3))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257464 = (((7/24)*(A000217+(-(-(1/(x-1)^2)))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257890 = ((2*integrate((A000217+(-(-(1/(x-1)^2))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257890 = (((1/3)*differential((A000217+(-(-(1/(x-1)^2))))))+(1/(x-1)^2)+(1/(x-1)^6))
A257890 = (((1/2)*differential((A000211+(-((x-2)/((x^2+x)-1))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257890 = ((9*differential((A000212+(-((((1/9)*(x+2))/(x^2+x+1))+(-(1/(x-1)^2))+(-(2/3/(x-1)^3)))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257890 = (((-1)*(A000212+(-((((1/9)*(x+2))/(x^2+x+1))+(-(1/9/(x-1)))+(-(2/3/(x-1)^3))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257464 = (((-(7/48))*differential((A000212+(-((((1/9)*(x+2))/(x^2+x+1))+(-(1/9/(x-1)))+(-(2/3/(x-1)^3)))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257464 = (((7/16)*(A000212+(-((((1/9)*(x+2))/(x^2+x+1))+(-(1/9/(x-1)))+(-(1/(x-1)^2))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257890 = ((3*integrate((A000212+(-((((1/9)*(x+2))/(x^2+x+1))+(-(1/9/(x-1)))+(-(1/(x-1)^2)))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257890 = (((1/2)*differential((A000212+(-((((1/9)*(x+2))/(x^2+x+1))+(-(1/9/(x-1)))+(-(1/(x-1)^2)))))))+(1/(x-1)^2)+(1/(x-1)^6))
A257890 = ((9*differential((A000212+(-((((1/9)*(x+2))/(x^2+x+1))+(-(1/(x-1)^2))+(-(2/3/(x-1)^3)))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257890 = (((-1)*(A000212+(-((((1/9)*(x+2))/(x^2+x+1))+(-(1/9/(x-1)))+(-(2/3/(x-1)^3))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257464 = (((-(7/48))*differential((A000212+(-((((1/9)*(x+2))/(x^2+x+1))+(-(1/9/(x-1)))+(-(2/3/(x-1)^3)))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257464 = (((7/16)*(A000212+(-((((1/9)*(x+2))/(x^2+x+1))+(-(1/9/(x-1)))+(-(1/(x-1)^2))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257890 = ((3*integrate((A000212+(-((((1/9)*(x+2))/(x^2+x+1))+(-(1/9/(x-1)))+(-(1/(x-1)^2)))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257890 = (((1/2)*differential((A000212+(-((((1/9)*(x+2))/(x^2+x+1))+(-(1/9/(x-1)))+(-(1/(x-1)^2)))))))+(1/(x-1)^2)+(1/(x-1)^6))
A248917 = (((-(3/2))*differential((A000225+(-(1/(x-1))))))+(-(1/((2*x)-1)))+(-(1/(x-1)))+(-(2/((2*x)-1)^3)))
A257890 = (((-1)*differential((A000225+(-(-(1/((2*x)-1)))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257850 = (((-(32/95))*differential((A000241+(-((-(-(109/128/(x-1))))+(-(7/64/(x+1)^2))+(-(77/32/(x-1)^2))+(-(1/32/(x+1)^3))+(-(47/16/(x-1)^3))+(-(27/16/(x-1)^4))+(-(3/8/(x-1)^5)))))))+(((1/5)*((15*x^3)+(4*x^2)+(8*x)+9))/((((x^4-x^3)+x^2)-x)+1))+(-(-(((1/5)*((11*x^3)+(16*x^2)+(15*x)+8))/(x^4+x^3+x^2+x+1))))+(-(-(((1/2)*((2*x^3)+(2*x^2)+x))/(x^4+x^3+x^2+x+1)^2)))+(-(-(((1/2)*(((2*x^2)-x)+2))/((((x^4-x^3)+x^2)-x)+1)^2)))+(-(1/2/(x+1)))+(-(33/10/(x-1)))+(9/20/(x-1)^2))
A257890 = (((-(128/109))*differential((A000241+(-((-(19/128/(x+1)))+(-(7/64/(x+1)^2))+(-(77/32/(x-1)^2))+(-(1/32/(x+1)^3))+(-(47/16/(x-1)^3))+(-(27/16/(x-1)^4))+(-(3/8/(x-1)^5)))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257850 = (((16/35)*(A000241+(-((-(19/128/(x+1)))+(-(-(109/128/(x-1))))+(-(77/32/(x-1)^2))+(-(1/32/(x+1)^3))+(-(47/16/(x-1)^3))+(-(27/16/(x-1)^4))+(-(3/8/(x-1)^5))))))+(((1/5)*((15*x^3)+(4*x^2)+(8*x)+9))/((((x^4-x^3)+x^2)-x)+1))+(-(-(((1/5)*((11*x^3)+(16*x^2)+(15*x)+8))/(x^4+x^3+x^2+x+1))))+(-(-(((1/2)*((2*x^3)+(2*x^2)+x))/(x^4+x^3+x^2+x+1)^2)))+(-(-(((1/2)*(((2*x^2)-x)+2))/((((x^4-x^3)+x^2)-x)+1)^2)))+(-(1/2/(x+1)))+(-(33/10/(x-1)))+(9/20/(x-1)^2))
A257171 = (((-(4/7))*differential((A000241+(-((-(19/128/(x+1)))+(-(-(109/128/(x-1))))+(-(77/32/(x-1)^2))+(-(1/32/(x+1)^3))+(-(47/16/(x-1)^3))+(-(27/16/(x-1)^4))+(-(3/8/(x-1)^5)))))))+(2*x)+(-(-(3/8/(x+1))))+(-(-(3/8/(x-1))))+(-(3/4/(x-1)^2))+(-(3/8/(x-1)^3))+(-(3/4/(x-1)^4))+(-1))
A257890 = (((-(32/77))*(A000241+(-((-(19/128/(x+1)))+(-(-(109/128/(x-1))))+(-(7/64/(x+1)^2))+(-(1/32/(x+1)^3))+(-(47/16/(x-1)^3))+(-(27/16/(x-1)^4))+(-(3/8/(x-1)^5))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257464 = (((-(2/33))*differential((A000241+(-((-(19/128/(x+1)))+(-(-(109/128/(x-1))))+(-(7/64/(x+1)^2))+(-(1/32/(x+1)^3))+(-(47/16/(x-1)^3))+(-(27/16/(x-1)^4))+(-(3/8/(x-1)^5)))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257171 = ((4*(A000241+(-((-(19/128/(x+1)))+(-(-(109/128/(x-1))))+(-(7/64/(x+1)^2))+(-(77/32/(x-1)^2))+(-(47/16/(x-1)^3))+(-(27/16/(x-1)^4))+(-(3/8/(x-1)^5))))))+(2*x)+(-(-(3/8/(x+1))))+(-(-(3/8/(x-1))))+(-(3/4/(x-1)^2))+(-(3/8/(x-1)^3))+(-(3/4/(x-1)^4))+(-1))
A257850 = (((-(16/5))*integrate((A000241+(-((-(19/128/(x+1)))+(-(-(109/128/(x-1))))+(-(7/64/(x+1)^2))+(-(77/32/(x-1)^2))+(-(47/16/(x-1)^3))+(-(27/16/(x-1)^4))+(-(3/8/(x-1)^5)))))))+(((1/5)*((15*x^3)+(4*x^2)+(8*x)+9))/((((x^4-x^3)+x^2)-x)+1))+(-(-(((1/5)*((11*x^3)+(16*x^2)+(15*x)+8))/(x^4+x^3+x^2+x+1))))+(-(-(((1/2)*((2*x^3)+(2*x^2)+x))/(x^4+x^3+x^2+x+1)^2)))+(-(-(((1/2)*(((2*x^2)-x)+2))/((((x^4-x^3)+x^2)-x)+1)^2)))+(-(1/2/(x+1)))+(-(33/10/(x-1)))+(9/20/(x-1)^2))
A254233 = (((1/12)*differential((A000241+(-((-(19/128/(x+1)))+(-(-(109/128/(x-1))))+(-(7/64/(x+1)^2))+(-(77/32/(x-1)^2))+(-(47/16/(x-1)^3))+(-(27/16/(x-1)^4))+(-(3/8/(x-1)^5)))))))+(((1/972)*((113*x)+137))/(x^2+x+1))+(-(-(-(-(-(((1/12)*(x-1))/((x^2-x)+1)))))))+(-(-(-(-(3/32/(x^2+1))))))+(-(-(-(-(((1/162)*((12*x)+11))/(x^2+x+1)^2)))))+(-(-(-(-(41/384/(x+1))))))+(-(-(-(-(4345/31104/(x-1))))))+(-(-(-(83/1536/(x+1)^2))))+(-(-(-(9205/124416/(x-1)^2))))+(-(-(-(((1/27)*x)/(x^2+x+1)^3))))+(-(-(-(3/128/(x+1)^3))))+(-(-(-(3/64/(x-1)^3))))+(-(-(23/576/(x-1)^4)))+(-(-(5/144/(x-1)^5)))+(-(1/32/(x-1)^6))+(-(1/36/(x-1)^7))+(1/36/(x-1)^8))
A257464 = (((14/141)*(A000241+(-((-(19/128/(x+1)))+(-(-(109/128/(x-1))))+(-(7/64/(x+1)^2))+(-(77/32/(x-1)^2))+(-(1/32/(x+1)^3))+(-(27/16/(x-1)^4))+(-(3/8/(x-1)^5))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257890 = (((32/47)*integrate((A000241+(-((-(19/128/(x+1)))+(-(-(109/128/(x-1))))+(-(7/64/(x+1)^2))+(-(77/32/(x-1)^2))+(-(1/32/(x+1)^3))+(-(27/16/(x-1)^4))+(-(3/8/(x-1)^5)))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257890 = (((16/141)*differential((A000241+(-((-(19/128/(x+1)))+(-(-(109/128/(x-1))))+(-(7/64/(x+1)^2))+(-(77/32/(x-1)^2))+(-(1/32/(x+1)^3))+(-(27/16/(x-1)^4))+(-(3/8/(x-1)^5)))))))+(1/(x-1)^2)+(1/(x-1)^6))
A257890 = (((-(16/27))*(A000241+(-((-(19/128/(x+1)))+(-(-(109/128/(x-1))))+(-(7/64/(x+1)^2))+(-(77/32/(x-1)^2))+(-(1/32/(x+1)^3))+(-(47/16/(x-1)^3))+(-(3/8/(x-1)^5))))))+(1/(x-1)^2)+(1/(x-1)^6))
A257464 = (((-(14/27))*integrate((A000241+(-((-(19/128/(x+1)))+(-(-(109/128/(x-1))))+(-(7/64/(x+1)^2))+(-(77/32/(x-1)^2))+(-(1/32/(x+1)^3))+(-(47/16/(x-1)^3))+(-(3/8/(x-1)^5)))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257464 = (((-(2/27))*differential((A000241+(-((-(19/128/(x+1)))+(-(-(109/128/(x-1))))+(-(7/64/(x+1)^2))+(-(77/32/(x-1)^2))+(-(1/32/(x+1)^3))+(-(47/16/(x-1)^3))+(-(3/8/(x-1)^5)))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(7/24/(x-1)^3))+(-(1/2/(x-1)^4)))
A257464 = (((4/3)*(A000241+(-((-(19/128/(x+1)))+(-(-(109/128/(x-1))))+(-(7/64/(x+1)^2))+(-(77/32/(x-1)^2))+(-(1/32/(x+1)^3))+(-(47/16/(x-1)^3))+(-(27/16/(x-1)^4))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(7/24/(x-1)^3))+(-(1/2/(x-1)^4)))
A257890 = (((32/3)*integrate((A000241+(-((-(19/128/(x+1)))+(-(-(109/128/(x-1))))+(-(7/64/(x+1)^2))+(-(77/32/(x-1)^2))+(-(1/32/(x+1)^3))+(-(47/16/(x-1)^3))+(-(27/16/(x-1)^4)))))))+(1/(x-1)^2)+(1/(x-1)^6))
A257890 = (((8/15)*differential((A000241+(-((-(19/128/(x+1)))+(-(-(109/128/(x-1))))+(-(7/64/(x+1)^2))+(-(77/32/(x-1)^2))+(-(1/32/(x+1)^3))+(-(47/16/(x-1)^3))+(-(27/16/(x-1)^4)))))))+(1/(x-1)^2)+(1/(x-1)^4))
A248088 = (((1/6)*differential(A000244))+(((1/6)*((2*x)+1))/((3*x^2)+(2*x)+1))+(-(1/3/((3*x)-1))))
A248917 = (((3/2)*differential((A000247+(-(x+(-(1/(x-1)))+(-(1/(x-1)^2))+1)))))+(-(1/((2*x)-1)))+(-(1/(x-1)))+(-(2/((2*x)-1)^3)))
A257890 = ((1*differential((A000247+(-(x+(-(-(1/((2*x)-1))))+(-(1/(x-1)^2))+1)))))+(1/(x-1)^4)+(1/(x-1)^6))
A257890 = (((-1)*(A000247+(-(x+(-(-(1/((2*x)-1))))+(-(1/(x-1)))+1))))+(1/(x-1)^4)+(1/(x-1)^6))
A257464 = (((-(7/48))*differential((A000247+(-(x+(-(-(1/((2*x)-1))))+(-(1/(x-1)))+1)))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A248917 = (((-(3/8))*differential((A000253+(-((((2*x^2)-x)+4)/(((x^3-x^2)+(2*x))-1))))))+(-(1/((2*x)-1)))+(-(1/(x-1)))+(-(2/((2*x)-1)^3)))
A257890 = ((1*differential((A000290+(-((-(3/(x-1)^2))+(-(2/(x-1)^3)))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257890 = (((-(1/3))*(A000290+(-((-(1/(x-1)))+(-(2/(x-1)^3))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257464 = (((-(7/144))*differential((A000290+(-((-(1/(x-1)))+(-(2/(x-1)^3)))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257464 = (((7/48)*(A000290+(-((-(1/(x-1)))+(-(3/(x-1)^2))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257890 = ((1*integrate((A000290+(-((-(1/(x-1)))+(-(3/(x-1)^2)))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257890 = (((1/6)*differential((A000290+(-((-(1/(x-1)))+(-(3/(x-1)^2)))))))+(1/(x-1)^2)+(1/(x-1)^6))
A257464 = (((-(7/24))*(A000292+(-(1/(x-1)^4))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257890 = (((-2)*integrate((A000292+(-(1/(x-1)^4)))))+(1/(x-1)^4)+(1/(x-1)^6))
A257890 = (((-(1/3))*differential((A000292+(-(1/(x-1)^4)))))+(1/(x-1)^2)+(1/(x-1)^6))
A257890 = ((1*(A000292+(-(1/(x-1)^3))))+(1/(x-1)^2)+(1/(x-1)^6))
A257464 = (((7/8)*integrate((A000292+(-(1/(x-1)^3)))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257464 = (((1/8)*differential((A000292+(-(1/(x-1)^3)))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(7/24/(x-1)^3))+(-(1/2/(x-1)^4)))
A248917 = (((-(3/2))*differential((A000295+(-(-(1/(x-1)^2))))))+(-(1/((2*x)-1)))+(-(1/(x-1)))+(-(2/((2*x)-1)^3)))
A257890 = (((-1)*(A000295+(-(-(1/((2*x)-1))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257464 = (((-(7/48))*differential((A000295+(-(-(1/((2*x)-1)))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257890 = ((1*(A000297+(-((-(2/(x-1)^3))+(1/(x-1)^4)))))+(1/(x-1)^4)+(1/(x-1)^6))
A257464 = (((7/48)*differential((A000297+(-((-(2/(x-1)^3))+(1/(x-1)^4))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257464 = (((7/48)*(A000297+(-((1/(x-1)^2)+(1/(x-1)^4)))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257890 = ((1*integrate((A000297+(-((1/(x-1)^2)+(1/(x-1)^4))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257890 = (((1/6)*differential((A000297+(-((1/(x-1)^2)+(1/(x-1)^4))))))+(1/(x-1)^2)+(1/(x-1)^6))
A257890 = ((1*(A000297+(-((1/(x-1)^2)+(-(2/(x-1)^3))))))+(1/(x-1)^2)+(1/(x-1)^6))
A257464 = (((7/8)*integrate((A000297+(-((1/(x-1)^2)+(-(2/(x-1)^3)))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257464 = (((1/8)*differential((A000297+(-((1/(x-1)^2)+(-(2/(x-1)^3)))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(7/24/(x-1)^3))+(-(1/2/(x-1)^4)))
A241874 = (((5/216)*differential(A000302))+(-(4/125/((6*x)-1)))+(-(-(-(9/160/((5*x)-1)))))+(-(-(-(1/24/((4*x)-1)))))+(-(-(5/288/((3*x)-1))))+(-(-(3/32/((2*x)-1))))+(-(-(593/6000/(x-1))))+(-(-(3/80/((5*x)-1)^2)))+(-(-(13/144/((3*x)-1)^2)))+(-(1/16/((2*x)-1)^2))+(-(923/10800/(x-1)^2))+(-(1/24/((4*x)-1)^3))+(-(17/144/((3*x)-1)^3))+(-(1/16/((2*x)-1)^3))+(-(19/720/(x-1)^3))+(-(1/24/((3*x)-1)^4))+(-(3/32/((2*x)-1)^4))+(-(1/32/((2*x)-1)^5))+(-(3/160)))
A248917 = (((-(3/2))*differential((A000325+(-((-(1/(x-1)))+(-(1/(x-1)^2)))))))+(-(1/((2*x)-1)))+(-(1/(x-1)))+(-(2/((2*x)-1)^3)))
A257890 = ((1*differential((A000325+(-((-(1/((2*x)-1)))+(-(1/(x-1)^2)))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257890 = (((-1)*(A000325+(-((-(1/((2*x)-1)))+(-(1/(x-1)))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257464 = (((-(7/48))*differential((A000325+(-((-(1/((2*x)-1)))+(-(1/(x-1))))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A248917 = (((-(3/2))*differential((A000325+(-((-(1/(x-1)))+(-(1/(x-1)^2)))))))+(-(1/((2*x)-1)))+(-(1/(x-1)))+(-(2/((2*x)-1)^3)))
A257890 = ((1*differential((A000325+(-((-(1/((2*x)-1)))+(-(1/(x-1)^2)))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257890 = (((-1)*(A000325+(-((-(1/((2*x)-1)))+(-(1/(x-1)))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257464 = (((-(7/48))*differential((A000325+(-((-(1/((2*x)-1)))+(-(1/(x-1))))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257890 = (((1/2)*differential((A000326+(-((-(5/(x-1)^2))+(-(3/(x-1)^3)))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257890 = (((-(1/5))*(A000326+(-((-(2/(x-1)))+(-(3/(x-1)^3))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257464 = (((-(7/240))*differential((A000326+(-((-(2/(x-1)))+(-(3/(x-1)^3)))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257464 = (((7/72)*(A000326+(-((-(2/(x-1)))+(-(5/(x-1)^2))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257890 = (((2/3)*integrate((A000326+(-((-(2/(x-1)))+(-(5/(x-1)^2)))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257890 = (((1/9)*differential((A000326+(-((-(2/(x-1)))+(-(5/(x-1)^2)))))))+(1/(x-1)^2)+(1/(x-1)^6))
A257890 = ((1*(A000330+(-((3/(x-1)^3)+(2/(x-1)^4)))))+(1/(x-1)^4)+(1/(x-1)^6))
A257464 = (((7/48)*differential((A000330+(-((3/(x-1)^3)+(2/(x-1)^4))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257464 = (((-(7/72))*(A000330+(-((1/(x-1)^2)+(2/(x-1)^4)))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257890 = (((-(2/3))*integrate((A000330+(-((1/(x-1)^2)+(2/(x-1)^4))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257890 = (((-(1/9))*differential((A000330+(-((1/(x-1)^2)+(2/(x-1)^4))))))+(1/(x-1)^2)+(1/(x-1)^6))
A257890 = (((1/2)*(A000330+(-((1/(x-1)^2)+(3/(x-1)^3)))))+(1/(x-1)^2)+(1/(x-1)^6))
A257464 = (((7/16)*integrate((A000330+(-((1/(x-1)^2)+(3/(x-1)^3))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257464 = (((1/16)*differential((A000330+(-((1/(x-1)^2)+(3/(x-1)^3))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(7/24/(x-1)^3))+(-(1/2/(x-1)^4)))
A257890 = ((1*differential((A000332+(-((-(4/(x-1)^2))+(-(6/(x-1)^3))+(-(4/(x-1)^4))+(-(1/(x-1)^5)))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257890 = (((-(1/4))*(A000332+(-((-(1/(x-1)))+(-(6/(x-1)^3))+(-(4/(x-1)^4))+(-(1/(x-1)^5))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257464 = (((-(7/192))*differential((A000332+(-((-(1/(x-1)))+(-(6/(x-1)^3))+(-(4/(x-1)^4))+(-(1/(x-1)^5)))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257464 = (((7/144)*(A000332+(-((-(1/(x-1)))+(-(4/(x-1)^2))+(-(4/(x-1)^4))+(-(1/(x-1)^5))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257890 = (((1/3)*integrate((A000332+(-((-(1/(x-1)))+(-(4/(x-1)^2))+(-(4/(x-1)^4))+(-(1/(x-1)^5)))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257890 = (((1/18)*differential((A000332+(-((-(1/(x-1)))+(-(4/(x-1)^2))+(-(4/(x-1)^4))+(-(1/(x-1)^5)))))))+(1/(x-1)^2)+(1/(x-1)^6))
A257890 = (((-(1/4))*(A000332+(-((-(1/(x-1)))+(-(4/(x-1)^2))+(-(6/(x-1)^3))+(-(1/(x-1)^5))))))+(1/(x-1)^2)+(1/(x-1)^6))
A257464 = (((-(7/32))*integrate((A000332+(-((-(1/(x-1)))+(-(4/(x-1)^2))+(-(6/(x-1)^3))+(-(1/(x-1)^5)))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257464 = (((-(1/32))*differential((A000332+(-((-(1/(x-1)))+(-(4/(x-1)^2))+(-(6/(x-1)^3))+(-(1/(x-1)^5)))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(7/24/(x-1)^3))+(-(1/2/(x-1)^4)))
A257464 = (((1/2)*(A000332+(-((-(1/(x-1)))+(-(4/(x-1)^2))+(-(6/(x-1)^3))+(-(4/(x-1)^4))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(7/24/(x-1)^3))+(-(1/2/(x-1)^4)))
A257890 = ((4*integrate((A000332+(-((-(1/(x-1)))+(-(4/(x-1)^2))+(-(6/(x-1)^3))+(-(4/(x-1)^4)))))))+(1/(x-1)^2)+(1/(x-1)^6))
A257890 = (((1/5)*differential((A000332+(-((-(1/(x-1)))+(-(4/(x-1)^2))+(-(6/(x-1)^3))+(-(4/(x-1)^4)))))))+(1/(x-1)^2)+(1/(x-1)^4))
A248917 = (((3/4)*differential((A000337+(-((-(1/(x-1)))+(1/((2*x)-1)^2))))))+(-(1/((2*x)-1)))+(-(1/(x-1)))+(-(2/((2*x)-1)^3)))
A257890 = ((1*differential((A000337+(-((2/((2*x)-1))+(1/((2*x)-1)^2))))))+(1/(x-1)^4)+(1/(x-1)^6))
A248917 = (((-3)*(A000337+(-((2/((2*x)-1))+(-(1/(x-1)))))))+(-(1/((2*x)-1)))+(-(1/(x-1)))+(-(2/((2*x)-1)^3)))
A248917 = (((1/2)*differential((A000337+(-((2/((2*x)-1))+(-(1/(x-1))))))))+(-(1/((2*x)-1)))+(-(1/(x-1)))+(-(3/((2*x)-1)^2)))
A248088 = (((2/27)*differential((A000340+(-((-(3/4/(x-1)))+(-(1/2/(x-1)^2)))))))+(((1/6)*((2*x)+1))/((3*x^2)+(2*x)+1))+(-(1/3/((3*x)-1))))
A257890 = (((4/3)*differential((A000340+(-((-(9/4/((3*x)-1)))+(-(1/2/(x-1)^2)))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257890 = (((-2)*(A000340+(-((-(9/4/((3*x)-1)))+(-(3/4/(x-1)))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257464 = (((-(7/24))*differential((A000340+(-((-(9/4/((3*x)-1)))+(-(3/4/(x-1))))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A241874 = (((3/400)*differential(A000351))+(-(4/125/((6*x)-1)))+(-(-(-(9/160/((5*x)-1)))))+(-(-(-(1/24/((4*x)-1)))))+(-(-(5/288/((3*x)-1))))+(-(-(3/32/((2*x)-1))))+(-(-(593/6000/(x-1))))+(-(-(5/54/((4*x)-1)^2)))+(-(-(13/144/((3*x)-1)^2)))+(-(1/16/((2*x)-1)^2))+(-(923/10800/(x-1)^2))+(-(1/24/((4*x)-1)^3))+(-(17/144/((3*x)-1)^3))+(-(1/16/((2*x)-1)^3))+(-(19/720/(x-1)^3))+(-(1/24/((3*x)-1)^4))+(-(3/32/((2*x)-1)^4))+(-(1/32/((2*x)-1)^5))+(-(3/160)))
A248088 = (((-(2/3))*differential((A000352+(-((-x)+(-(1/((2*x)-1)))+(-(13/4/(x-1)))+(-(1/2/(x-1)^2))+(-2))))))+(((1/6)*((2*x)+1))/((3*x^2)+(2*x)+1))+(-(1/3/((3*x)-1))))
A248917 = (((-(3/2))*differential((A000352+(-((-x)+(-(-(1/4/((3*x)-1))))+(-(13/4/(x-1)))+(-(1/2/(x-1)^2))+(-2))))))+(-(1/((2*x)-1)))+(-(1/(x-1)))+(-(2/((2*x)-1)^3)))
A257890 = (((4/13)*differential((A000352+(-((-x)+(-(-(1/4/((3*x)-1))))+(-(1/((2*x)-1)))+(-(1/2/(x-1)^2))+(-2))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257890 = (((-2)*(A000352+(-((-x)+(-(-(1/4/((3*x)-1))))+(-(1/((2*x)-1)))+(-(13/4/(x-1)))+(-2)))))+(1/(x-1)^4)+(1/(x-1)^6))
A257464 = (((-(7/24))*differential((A000352+(-((-x)+(-(-(1/4/((3*x)-1))))+(-(1/((2*x)-1)))+(-(13/4/(x-1)))+(-2))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A241874 = (((3/25)*differential((A000363+(-((-(3/16/((3*x)-1)))+(-(1/8/(x-1)))+(-(1/8/((3*x)-1)^2))+(-(1/2/(x-1)^2))+(-(1/4/(x-1)^3)))))))+(-(4/125/((6*x)-1)))+(-(-(-(9/160/((5*x)-1)))))+(-(-(-(1/24/((4*x)-1)))))+(-(-(5/288/((3*x)-1))))+(-(-(3/32/((2*x)-1))))+(-(-(593/6000/(x-1))))+(-(-(5/54/((4*x)-1)^2)))+(-(-(13/144/((3*x)-1)^2)))+(-(1/16/((2*x)-1)^2))+(-(923/10800/(x-1)^2))+(-(1/24/((4*x)-1)^3))+(-(17/144/((3*x)-1)^3))+(-(1/16/((2*x)-1)^3))+(-(19/720/(x-1)^3))+(-(1/24/((3*x)-1)^4))+(-(3/32/((2*x)-1)^4))+(-(1/32/((2*x)-1)^5))+(-(3/160)))
A248088 = (((8/9)*differential((A000363+(-((-(1/16/((5*x)-1)))+(-(1/8/(x-1)))+(-(1/8/((3*x)-1)^2))+(-(1/2/(x-1)^2))+(-(1/4/(x-1)^3)))))))+(((1/6)*((2*x)+1))/((3*x^2)+(2*x)+1))+(-(1/3/((3*x)-1))))
A257890 = ((8*differential((A000363+(-((-(1/16/((5*x)-1)))+(-(3/16/((3*x)-1)))+(-(1/8/((3*x)-1)^2))+(-(1/2/(x-1)^2))+(-(1/4/(x-1)^3)))))))+(1/(x-1)^4)+(1/(x-1)^6))
A248088 = (((-4)*(A000363+(-((-(1/16/((5*x)-1)))+(-(3/16/((3*x)-1)))+(-(1/8/(x-1)))+(-(1/2/(x-1)^2))+(-(1/4/(x-1)^3))))))+(((1/6)*((2*x)+1))/((3*x^2)+(2*x)+1))+(-(1/3/((3*x)-1))))
A241874 = (((-(17/108))*differential((A000363+(-((-(1/16/((5*x)-1)))+(-(3/16/((3*x)-1)))+(-(1/8/(x-1)))+(-(1/2/(x-1)^2))+(-(1/4/(x-1)^3)))))))+(-(4/125/((6*x)-1)))+(-(-(-(9/160/((5*x)-1)))))+(-(-(-(1/24/((4*x)-1)))))+(-(-(5/288/((3*x)-1))))+(-(-(3/32/((2*x)-1))))+(-(-(593/6000/(x-1))))+(-(-(3/80/((5*x)-1)^2)))+(-(-(5/54/((4*x)-1)^2)))+(-(-(13/144/((3*x)-1)^2)))+(-(1/16/((2*x)-1)^2))+(-(923/10800/(x-1)^2))+(-(1/24/((4*x)-1)^3))+(-(1/16/((2*x)-1)^3))+(-(19/720/(x-1)^3))+(-(1/24/((3*x)-1)^4))+(-(3/32/((2*x)-1)^4))+(-(1/32/((2*x)-1)^5))+(-(3/160)))
A257890 = (((-2)*(A000363+(-((-(1/16/((5*x)-1)))+(-(3/16/((3*x)-1)))+(-(1/8/(x-1)))+(-(1/8/((3*x)-1)^2))+(-(1/4/(x-1)^3))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257464 = (((-(7/24))*differential((A000363+(-((-(1/16/((5*x)-1)))+(-(3/16/((3*x)-1)))+(-(1/8/(x-1)))+(-(1/8/((3*x)-1)^2))+(-(1/4/(x-1)^3)))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257464 = (((7/6)*(A000363+(-((-(1/16/((5*x)-1)))+(-(3/16/((3*x)-1)))+(-(1/8/(x-1)))+(-(1/8/((3*x)-1)^2))+(-(1/2/(x-1)^2))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257890 = ((8*integrate((A000363+(-((-(1/16/((5*x)-1)))+(-(3/16/((3*x)-1)))+(-(1/8/(x-1)))+(-(1/8/((3*x)-1)^2))+(-(1/2/(x-1)^2)))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257890 = (((4/3)*differential((A000363+(-((-(1/16/((5*x)-1)))+(-(3/16/((3*x)-1)))+(-(1/8/(x-1)))+(-(1/8/((3*x)-1)^2))+(-(1/2/(x-1)^2)))))))+(1/(x-1)^2)+(1/(x-1)^6))
A257890 = (((1/3)*differential((A000384+(-((-(7/(x-1)^2))+(-(4/(x-1)^3)))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257890 = (((-(1/7))*(A000384+(-((-(3/(x-1)))+(-(4/(x-1)^3))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257464 = (((-(1/48))*differential((A000384+(-((-(3/(x-1)))+(-(4/(x-1)^3)))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257464 = (((7/96)*(A000384+(-((-(3/(x-1)))+(-(7/(x-1)^2))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257890 = (((1/2)*integrate((A000384+(-((-(3/(x-1)))+(-(7/(x-1)^2)))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257890 = (((1/12)*differential((A000384+(-((-(3/(x-1)))+(-(7/(x-1)^2)))))))+(1/(x-1)^2)+(1/(x-1)^6))
A257890 = (((-1)*differential((A000389+(-((5/(x-1)^2)+(10/(x-1)^3)+(10/(x-1)^4)+(5/(x-1)^5)+(1/(x-1)^6))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257890 = (((1/5)*(A000389+(-((1/(x-1))+(10/(x-1)^3)+(10/(x-1)^4)+(5/(x-1)^5)+(1/(x-1)^6)))))+(1/(x-1)^4)+(1/(x-1)^6))
A257464 = (((7/240)*differential((A000389+(-((1/(x-1))+(10/(x-1)^3)+(10/(x-1)^4)+(5/(x-1)^5)+(1/(x-1)^6))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257464 = (((-(7/240))*(A000389+(-((1/(x-1))+(5/(x-1)^2)+(10/(x-1)^4)+(5/(x-1)^5)+(1/(x-1)^6)))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257890 = (((-(1/5))*integrate((A000389+(-((1/(x-1))+(5/(x-1)^2)+(10/(x-1)^4)+(5/(x-1)^5)+(1/(x-1)^6))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257890 = (((-(1/30))*differential((A000389+(-((1/(x-1))+(5/(x-1)^2)+(10/(x-1)^4)+(5/(x-1)^5)+(1/(x-1)^6))))))+(1/(x-1)^2)+(1/(x-1)^6))
A257890 = (((1/10)*(A000389+(-((1/(x-1))+(5/(x-1)^2)+(10/(x-1)^3)+(5/(x-1)^5)+(1/(x-1)^6)))))+(1/(x-1)^2)+(1/(x-1)^6))
A257464 = (((7/80)*integrate((A000389+(-((1/(x-1))+(5/(x-1)^2)+(10/(x-1)^3)+(5/(x-1)^5)+(1/(x-1)^6))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257464 = (((1/80)*differential((A000389+(-((1/(x-1))+(5/(x-1)^2)+(10/(x-1)^3)+(5/(x-1)^5)+(1/(x-1)^6))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(7/24/(x-1)^3))+(-(1/2/(x-1)^4)))
A257464 = (((-(1/10))*(A000389+(-((1/(x-1))+(5/(x-1)^2)+(10/(x-1)^3)+(10/(x-1)^4)+(1/(x-1)^6)))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(7/24/(x-1)^3))+(-(1/2/(x-1)^4)))
A257890 = (((-(4/5))*integrate((A000389+(-((1/(x-1))+(5/(x-1)^2)+(10/(x-1)^3)+(10/(x-1)^4)+(1/(x-1)^6))))))+(1/(x-1)^2)+(1/(x-1)^6))
A257890 = (((-(1/25))*differential((A000389+(-((1/(x-1))+(5/(x-1)^2)+(10/(x-1)^3)+(10/(x-1)^4)+(1/(x-1)^6))))))+(1/(x-1)^2)+(1/(x-1)^4))
A257890 = ((1*(A000389+(-((1/(x-1))+(5/(x-1)^2)+(10/(x-1)^3)+(10/(x-1)^4)+(5/(x-1)^5)))))+(1/(x-1)^2)+(1/(x-1)^4))
A257464 = (((5/2)*integrate((A000389+(-((1/(x-1))+(5/(x-1)^2)+(10/(x-1)^3)+(10/(x-1)^4)+(5/(x-1)^5))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(7/24/(x-1)^3))+(-(1/2/(x-1)^4)))
A257201 = (((-(1/3))*differential((A000389+(-((1/(x-1))+(5/(x-1)^2)+(10/(x-1)^3)+(10/(x-1)^4)+(5/(x-1)^5))))))+(1/(x-1)^5)+(2/(x-1)^6)+(1/(x-1)^8))
A248088 = ((1*differential((A000392+(-((-(1/2/((2*x)-1)))+(-(1/2/(x-1)))+(-(1/6)))))))+(((1/6)*((2*x)+1))/((3*x^2)+(2*x)+1))+(-(1/3/((3*x)-1))))
A248917 = (((-3)*differential((A000392+(-((-(1/6/((3*x)-1)))+(-(1/2/(x-1)))+(-(1/6)))))))+(-(1/((2*x)-1)))+(-(1/(x-1)))+(-(2/((2*x)-1)^3)))
A257890 = ((2*differential((A000392+(-((-(1/6/((3*x)-1)))+(-(1/2/((2*x)-1)))+(-(1/6)))))))+(1/(x-1)^4)+(1/(x-1)^6))
A229689 = (((-(1/9))*differential(A000400))+((1/2)*x)+(-(13/36/((6*x)-1)))+(-(16/27/((6*x)-1)^3))+(47/108))
A229281 = (((-(4/49))*differential(A000420))+(1/7/((7*x)-1))+(-(3/7)))
A257890 = (((-1)*differential((A000447+(-((9/(x-1)^2)+(16/(x-1)^3)+(8/(x-1)^4))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257890 = (((1/9)*(A000447+(-((1/(x-1))+(16/(x-1)^3)+(8/(x-1)^4)))))+(1/(x-1)^4)+(1/(x-1)^6))
A257464 = (((7/432)*differential((A000447+(-((1/(x-1))+(16/(x-1)^3)+(8/(x-1)^4))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257464 = (((-(7/384))*(A000447+(-((1/(x-1))+(9/(x-1)^2)+(8/(x-1)^4)))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257890 = (((-(1/8))*integrate((A000447+(-((1/(x-1))+(9/(x-1)^2)+(8/(x-1)^4))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257890 = (((-(1/48))*differential((A000447+(-((1/(x-1))+(9/(x-1)^2)+(8/(x-1)^4))))))+(1/(x-1)^2)+(1/(x-1)^6))
A257890 = (((1/8)*(A000447+(-((1/(x-1))+(9/(x-1)^2)+(16/(x-1)^3)))))+(1/(x-1)^2)+(1/(x-1)^6))
A257464 = (((7/64)*integrate((A000447+(-((1/(x-1))+(9/(x-1)^2)+(16/(x-1)^3))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257464 = (((1/64)*differential((A000447+(-((1/(x-1))+(9/(x-1)^2)+(16/(x-1)^3))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(7/24/(x-1)^3))+(-(1/2/(x-1)^4)))
A241874 = (((5/9)*differential((A000453+(-((-(1/6/((3*x)-1)))+(-(1/4/((2*x)-1)))+(1/6/(x-1))+(1/24))))))+(-(4/125/((6*x)-1)))+(-(-(-(9/160/((5*x)-1)))))+(-(-(-(1/24/((4*x)-1)))))+(-(-(5/288/((3*x)-1))))+(-(-(3/32/((2*x)-1))))+(-(-(593/6000/(x-1))))+(-(-(3/80/((5*x)-1)^2)))+(-(-(13/144/((3*x)-1)^2)))+(-(1/16/((2*x)-1)^2))+(-(923/10800/(x-1)^2))+(-(1/24/((4*x)-1)^3))+(-(17/144/((3*x)-1)^3))+(-(1/16/((2*x)-1)^3))+(-(19/720/(x-1)^3))+(-(1/24/((3*x)-1)^4))+(-(3/32/((2*x)-1)^4))+(-(1/32/((2*x)-1)^5))+(-(3/160)))
A248088 = ((1*differential((A000453+(-((-(1/24/((4*x)-1)))+(-(1/4/((2*x)-1)))+(1/6/(x-1))+(1/24))))))+(((1/6)*((2*x)+1))/((3*x^2)+(2*x)+1))+(-(1/3/((3*x)-1))))
A248917 = (((-6)*differential((A000453+(-((-(1/24/((4*x)-1)))+(-(1/6/((3*x)-1)))+(1/6/(x-1))+(1/24))))))+(-(1/((2*x)-1)))+(-(1/(x-1)))+(-(2/((2*x)-1)^3)))
A257890 = (((-6)*differential((A000453+(-((-(1/24/((4*x)-1)))+(-(1/6/((3*x)-1)))+(-(1/4/((2*x)-1)))+(1/24))))))+(1/(x-1)^4)+(1/(x-1)^6))
A248088 = (((1/6)*differential((A000460+(-((-(1/((2*x)-1)^2))+(-(1/(x-1)^2))+(-(1/(x-1)^3)))))))+(((1/6)*((2*x)+1))/((3*x^2)+(2*x)+1))+(-(1/3/((3*x)-1))))
A248917 = ((3*(A000460+(-((-(1/((3*x)-1)))+(-(1/(x-1)^2))+(-(1/(x-1)^3))))))+(-(1/((2*x)-1)))+(-(1/(x-1)))+(-(2/((2*x)-1)^3)))
A248917 = (((-(1/2))*differential((A000460+(-((-(1/((3*x)-1)))+(-(1/(x-1)^2))+(-(1/(x-1)^3)))))))+(-(1/((2*x)-1)))+(-(1/(x-1)))+(-(3/((2*x)-1)^2)))
A257890 = (((-1)*(A000460+(-((-(1/((3*x)-1)))+(-(1/((2*x)-1)^2))+(-(1/(x-1)^3))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257464 = (((-(7/48))*differential((A000460+(-((-(1/((3*x)-1)))+(-(1/((2*x)-1)^2))+(-(1/(x-1)^3)))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257464 = (((7/24)*(A000460+(-((-(1/((3*x)-1)))+(-(1/((2*x)-1)^2))+(-(1/(x-1)^2))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257890 = ((2*integrate((A000460+(-((-(1/((3*x)-1)))+(-(1/((2*x)-1)^2))+(-(1/(x-1)^2)))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257890 = (((1/3)*differential((A000460+(-((-(1/((3*x)-1)))+(-(1/((2*x)-1)^2))+(-(1/(x-1)^2)))))))+(1/(x-1)^2)+(1/(x-1)^6))
A257890 = (((1/3)*differential((A000466+(-((-(12/(x-1)^2))+(-(8/(x-1)^3)))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257890 = (((-(1/12))*(A000466+(-((-(3/(x-1)))+(-(8/(x-1)^3))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257464 = (((-(7/576))*differential((A000466+(-((-(3/(x-1)))+(-(8/(x-1)^3)))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257464 = (((7/192)*(A000466+(-((-(3/(x-1)))+(-(12/(x-1)^2))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257890 = (((1/4)*integrate((A000466+(-((-(3/(x-1)))+(-(12/(x-1)^2)))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257890 = (((1/24)*differential((A000466+(-((-(3/(x-1)))+(-(12/(x-1)^2)))))))+(1/(x-1)^2)+(1/(x-1)^6))
A248088 = (((-1)*differential((A000478+(-((-x^3)+(-(-x^2))+(-(-((1/2)*x)))+(-(1/4/((2*x)-1)))+(-(1/2/(x-1)))+(-(1/4/((2*x)-1)^2))+(-(1/(x-1)^2))+(-(1/(x-1)^3))+(-(1/6)))))))+(((1/6)*((2*x)+1))/((3*x^2)+(2*x)+1))+(-(1/3/((3*x)-1))))
A248917 = (((-6)*differential((A000478+(-((-x^3)+(-(-x^2))+(-(-((1/2)*x)))+(-(-(1/6/((3*x)-1))))+(-(1/2/(x-1)))+(-(1/4/((2*x)-1)^2))+(-(1/(x-1)^2))+(-(1/(x-1)^3))+(-(1/6)))))))+(-(1/((2*x)-1)))+(-(1/(x-1)))+(-(2/((2*x)-1)^3)))
A257890 = ((2*differential((A000478+(-((-x^3)+(-(-x^2))+(-(-((1/2)*x)))+(-(-(1/6/((3*x)-1))))+(-(1/4/((2*x)-1)))+(-(1/4/((2*x)-1)^2))+(-(1/(x-1)^2))+(-(1/(x-1)^3))+(-(1/6)))))))+(1/(x-1)^4)+(1/(x-1)^6))
A248917 = ((12*(A000478+(-((-x^3)+(-(-x^2))+(-(-((1/2)*x)))+(-(-(1/6/((3*x)-1))))+(-(1/4/((2*x)-1)))+(-(1/2/(x-1)))+(-(1/(x-1)^2))+(-(1/(x-1)^3))+(-(1/6))))))+(-(1/((2*x)-1)))+(-(1/(x-1)))+(-(2/((2*x)-1)^3)))
A248917 = (((-2)*differential((A000478+(-((-x^3)+(-(-x^2))+(-(-((1/2)*x)))+(-(-(1/6/((3*x)-1))))+(-(1/4/((2*x)-1)))+(-(1/2/(x-1)))+(-(1/(x-1)^2))+(-(1/(x-1)^3))+(-(1/6)))))))+(-(1/((2*x)-1)))+(-(1/(x-1)))+(-(3/((2*x)-1)^2)))
A257890 = (((-1)*(A000478+(-((-x^3)+(-(-x^2))+(-(-((1/2)*x)))+(-(-(1/6/((3*x)-1))))+(-(1/4/((2*x)-1)))+(-(1/2/(x-1)))+(-(1/4/((2*x)-1)^2))+(-(1/(x-1)^3))+(-(1/6))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257464 = (((-(7/48))*differential((A000478+(-((-x^3)+(-(-x^2))+(-(-((1/2)*x)))+(-(-(1/6/((3*x)-1))))+(-(1/4/((2*x)-1)))+(-(1/2/(x-1)))+(-(1/4/((2*x)-1)^2))+(-(1/(x-1)^3))+(-(1/6)))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257464 = (((7/24)*(A000478+(-((-x^3)+(-(-x^2))+(-(-((1/2)*x)))+(-(-(1/6/((3*x)-1))))+(-(1/4/((2*x)-1)))+(-(1/2/(x-1)))+(-(1/4/((2*x)-1)^2))+(-(1/(x-1)^2))+(-(1/6))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257890 = ((2*integrate((A000478+(-((-x^3)+(-(-x^2))+(-(-((1/2)*x)))+(-(-(1/6/((3*x)-1))))+(-(1/4/((2*x)-1)))+(-(1/2/(x-1)))+(-(1/4/((2*x)-1)^2))+(-(1/(x-1)^2))+(-(1/6)))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257890 = (((1/3)*differential((A000478+(-((-x^3)+(-(-x^2))+(-(-((1/2)*x)))+(-(-(1/6/((3*x)-1))))+(-(1/4/((2*x)-1)))+(-(1/2/(x-1)))+(-(1/4/((2*x)-1)^2))+(-(1/(x-1)^2))+(-(1/6)))))))+(1/(x-1)^2)+(1/(x-1)^6))
A241874 = (((5/27)*differential((A000486+(-(x+(-(-(1/2/((3*x)-1))))+(-(-(7/4/((2*x)-1))))+(-(9/2/(x-1)))+(-(1/4/((2*x)-1)^2))+(1/(x-1)^2)+(19/8))))))+(-(4/125/((6*x)-1)))+(-(-(-(9/160/((5*x)-1)))))+(-(-(-(1/24/((4*x)-1)))))+(-(-(5/288/((3*x)-1))))+(-(-(3/32/((2*x)-1))))+(-(-(593/6000/(x-1))))+(-(-(3/80/((5*x)-1)^2)))+(-(-(13/144/((3*x)-1)^2)))+(-(1/16/((2*x)-1)^2))+(-(923/10800/(x-1)^2))+(-(1/24/((4*x)-1)^3))+(-(17/144/((3*x)-1)^3))+(-(1/16/((2*x)-1)^3))+(-(19/720/(x-1)^3))+(-(1/24/((3*x)-1)^4))+(-(3/32/((2*x)-1)^4))+(-(1/32/((2*x)-1)^5))+(-(3/160)))
A248088 = (((-(1/3))*differential((A000486+(-(x+(-(-(-(1/8/((4*x)-1)))))+(-(-(7/4/((2*x)-1))))+(-(9/2/(x-1)))+(-(1/4/((2*x)-1)^2))+(1/(x-1)^2)+(19/8))))))+(((1/6)*((2*x)+1))/((3*x^2)+(2*x)+1))+(-(1/3/((3*x)-1))))
A248917 = (((6/7)*differential((A000486+(-(x+(-(-(-(1/8/((4*x)-1)))))+(-(-(1/2/((3*x)-1))))+(-(9/2/(x-1)))+(-(1/4/((2*x)-1)^2))+(1/(x-1)^2)+(19/8))))))+(-(1/((2*x)-1)))+(-(1/(x-1)))+(-(2/((2*x)-1)^3)))
A257890 = (((2/9)*differential((A000486+(-(x+(-(-(-(1/8/((4*x)-1)))))+(-(-(1/2/((3*x)-1))))+(-(-(7/4/((2*x)-1))))+(-(1/4/((2*x)-1)^2))+(1/(x-1)^2)+(19/8))))))+(1/(x-1)^4)+(1/(x-1)^6))
A248917 = ((12*(A000486+(-(x+(-(-(-(1/8/((4*x)-1)))))+(-(-(1/2/((3*x)-1))))+(-(-(7/4/((2*x)-1))))+(-(9/2/(x-1)))+(1/(x-1)^2)+(19/8)))))+(-(1/((2*x)-1)))+(-(1/(x-1)))+(-(2/((2*x)-1)^3)))
A248917 = (((-2)*differential((A000486+(-(x+(-(-(-(1/8/((4*x)-1)))))+(-(-(1/2/((3*x)-1))))+(-(-(7/4/((2*x)-1))))+(-(9/2/(x-1)))+(1/(x-1)^2)+(19/8))))))+(-(1/((2*x)-1)))+(-(1/(x-1)))+(-(3/((2*x)-1)^2)))
A257890 = ((1*(A000486+(-(x+(-(-(-(1/8/((4*x)-1)))))+(-(-(1/2/((3*x)-1))))+(-(-(7/4/((2*x)-1))))+(-(9/2/(x-1)))+(-(1/4/((2*x)-1)^2))+(19/8)))))+(1/(x-1)^4)+(1/(x-1)^6))
A257464 = (((7/48)*differential((A000486+(-(x+(-(-(-(1/8/((4*x)-1)))))+(-(-(1/2/((3*x)-1))))+(-(-(7/4/((2*x)-1))))+(-(9/2/(x-1)))+(-(1/4/((2*x)-1)^2))+(19/8))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A229689 = (((-(32/9))*differential((A000487+(-((-(1/8/((4*x)-1)))+(-(5/32/((2*x)-1)))+(-(1/16/((4*x)-1)^2))+(-(5/16/((2*x)-1)^2))+(-(1/8/((2*x)-1)^3))+(-(1/16)))))))+((1/2)*x)+(-(13/36/((6*x)-1)))+(-(16/27/((6*x)-1)^3))+(47/108))
A241874 = (((5/27)*differential((A000487+(-((-(1/32/((6*x)-1)))+(-(5/32/((2*x)-1)))+(-(1/16/((4*x)-1)^2))+(-(5/16/((2*x)-1)^2))+(-(1/8/((2*x)-1)^3))+(-(1/16)))))))+(-(4/125/((6*x)-1)))+(-(-(-(9/160/((5*x)-1)))))+(-(-(-(1/24/((4*x)-1)))))+(-(-(5/288/((3*x)-1))))+(-(-(3/32/((2*x)-1))))+(-(-(593/6000/(x-1))))+(-(-(3/80/((5*x)-1)^2)))+(-(-(13/144/((3*x)-1)^2)))+(-(1/16/((2*x)-1)^2))+(-(923/10800/(x-1)^2))+(-(1/24/((4*x)-1)^3))+(-(17/144/((3*x)-1)^3))+(-(1/16/((2*x)-1)^3))+(-(19/720/(x-1)^3))+(-(1/24/((3*x)-1)^4))+(-(3/32/((2*x)-1)^4))+(-(1/32/((2*x)-1)^5))+(-(3/160)))
A248917 = (((-(48/5))*differential((A000487+(-((-(1/32/((6*x)-1)))+(-(1/8/((4*x)-1)))+(-(1/16/((4*x)-1)^2))+(-(5/16/((2*x)-1)^2))+(-(1/8/((2*x)-1)^3))+(-(1/16)))))))+(-(1/((2*x)-1)))+(-(1/(x-1)))+(-(2/((2*x)-1)^3)))
A241874 = (((-(40/27))*(A000487+(-((-(1/32/((6*x)-1)))+(-(1/8/((4*x)-1)))+(-(5/32/((2*x)-1)))+(-(5/16/((2*x)-1)^2))+(-(1/8/((2*x)-1)^3))+(-(1/16))))))+(-(4/125/((6*x)-1)))+(-(-(-(9/160/((5*x)-1)))))+(-(-(-(1/24/((4*x)-1)))))+(-(-(5/288/((3*x)-1))))+(-(-(3/32/((2*x)-1))))+(-(-(593/6000/(x-1))))+(-(-(3/80/((5*x)-1)^2)))+(-(-(13/144/((3*x)-1)^2)))+(-(1/16/((2*x)-1)^2))+(-(923/10800/(x-1)^2))+(-(1/24/((4*x)-1)^3))+(-(17/144/((3*x)-1)^3))+(-(1/16/((2*x)-1)^3))+(-(19/720/(x-1)^3))+(-(1/24/((3*x)-1)^4))+(-(3/32/((2*x)-1)^4))+(-(1/32/((2*x)-1)^5))+(-(3/160)))
A241874 = (((-(1/12))*differential((A000487+(-((-(1/32/((6*x)-1)))+(-(1/8/((4*x)-1)))+(-(5/32/((2*x)-1)))+(-(5/16/((2*x)-1)^2))+(-(1/8/((2*x)-1)^3))+(-(1/16)))))))+(-(4/125/((6*x)-1)))+(-(-(-(9/160/((5*x)-1)))))+(-(-(-(1/24/((4*x)-1)))))+(-(-(5/288/((3*x)-1))))+(-(-(3/32/((2*x)-1))))+(-(-(593/6000/(x-1))))+(-(-(3/80/((5*x)-1)^2)))+(-(-(5/54/((4*x)-1)^2)))+(-(-(13/144/((3*x)-1)^2)))+(-(1/16/((2*x)-1)^2))+(-(923/10800/(x-1)^2))+(-(17/144/((3*x)-1)^3))+(-(1/16/((2*x)-1)^3))+(-(19/720/(x-1)^3))+(-(1/24/((3*x)-1)^4))+(-(3/32/((2*x)-1)^4))+(-(1/32/((2*x)-1)^5))+(-(3/160)))
A248917 = (((48/5)*(A000487+(-((-(1/32/((6*x)-1)))+(-(1/8/((4*x)-1)))+(-(5/32/((2*x)-1)))+(-(1/16/((4*x)-1)^2))+(-(1/8/((2*x)-1)^3))+(-(1/16))))))+(-(1/((2*x)-1)))+(-(1/(x-1)))+(-(2/((2*x)-1)^3)))
A248917 = (((-(8/5))*differential((A000487+(-((-(1/32/((6*x)-1)))+(-(1/8/((4*x)-1)))+(-(5/32/((2*x)-1)))+(-(1/16/((4*x)-1)^2))+(-(1/8/((2*x)-1)^3))+(-(1/16)))))))+(-(1/((2*x)-1)))+(-(1/(x-1)))+(-(3/((2*x)-1)^2)))
A248917 = ((16*(A000487+(-((-(1/32/((6*x)-1)))+(-(1/8/((4*x)-1)))+(-(5/32/((2*x)-1)))+(-(1/16/((4*x)-1)^2))+(-(5/16/((2*x)-1)^2))+(-(1/16))))))+(-(1/((2*x)-1)))+(-(1/(x-1)))+(-(3/((2*x)-1)^2)))
A248917 = (((-96)*integrate((A000487+(-((-(1/32/((6*x)-1)))+(-(1/8/((4*x)-1)))+(-(5/32/((2*x)-1)))+(-(1/16/((4*x)-1)^2))+(-(5/16/((2*x)-1)^2))+(-(1/16)))))))+(-(1/((2*x)-1)))+(-(1/(x-1)))+(-(2/((2*x)-1)^3)))
A241874 = (((-(1/8))*differential((A000487+(-((-(1/32/((6*x)-1)))+(-(1/8/((4*x)-1)))+(-(5/32/((2*x)-1)))+(-(1/16/((4*x)-1)^2))+(-(5/16/((2*x)-1)^2))+(-(1/16)))))))+(-(4/125/((6*x)-1)))+(-(-(-(9/160/((5*x)-1)))))+(-(-(-(1/24/((4*x)-1)))))+(-(-(5/288/((3*x)-1))))+(-(-(3/32/((2*x)-1))))+(-(-(593/6000/(x-1))))+(-(-(3/80/((5*x)-1)^2)))+(-(-(5/54/((4*x)-1)^2)))+(-(-(13/144/((3*x)-1)^2)))+(-(1/16/((2*x)-1)^2))+(-(923/10800/(x-1)^2))+(-(1/24/((4*x)-1)^3))+(-(17/144/((3*x)-1)^3))+(-(1/16/((2*x)-1)^3))+(-(19/720/(x-1)^3))+(-(1/24/((3*x)-1)^4))+(-(1/32/((2*x)-1)^5))+(-(3/160)))
A241874 = (((5/216)*differential((A000498+(-((-(1/((3*x)-1)^2))+(-(1/((2*x)-1)^2))+(-(1/(x-1)^2))+(-(1/((2*x)-1)^3))+(-(2/(x-1)^3))+(-(1/(x-1)^4)))))))+(-(4/125/((6*x)-1)))+(-(-(-(9/160/((5*x)-1)))))+(-(-(-(1/24/((4*x)-1)))))+(-(-(5/288/((3*x)-1))))+(-(-(3/32/((2*x)-1))))+(-(-(593/6000/(x-1))))+(-(-(3/80/((5*x)-1)^2)))+(-(-(13/144/((3*x)-1)^2)))+(-(1/16/((2*x)-1)^2))+(-(923/10800/(x-1)^2))+(-(1/24/((4*x)-1)^3))+(-(17/144/((3*x)-1)^3))+(-(1/16/((2*x)-1)^3))+(-(19/720/(x-1)^3))+(-(1/24/((3*x)-1)^4))+(-(3/32/((2*x)-1)^4))+(-(1/32/((2*x)-1)^5))+(-(3/160)))
A248088 = (((-(1/2))*(A000498+(-((-(1/((4*x)-1)))+(-(1/((2*x)-1)^2))+(-(1/(x-1)^2))+(-(1/((2*x)-1)^3))+(-(2/(x-1)^3))+(-(1/(x-1)^4))))))+(((1/6)*((2*x)+1))/((3*x^2)+(2*x)+1))+(-(1/3/((3*x)-1))))
A241874 = (((-(17/864))*differential((A000498+(-((-(1/((4*x)-1)))+(-(1/((2*x)-1)^2))+(-(1/(x-1)^2))+(-(1/((2*x)-1)^3))+(-(2/(x-1)^3))+(-(1/(x-1)^4)))))))+(-(4/125/((6*x)-1)))+(-(-(-(9/160/((5*x)-1)))))+(-(-(-(1/24/((4*x)-1)))))+(-(-(5/288/((3*x)-1))))+(-(-(3/32/((2*x)-1))))+(-(-(593/6000/(x-1))))+(-(-(3/80/((5*x)-1)^2)))+(-(-(5/54/((4*x)-1)^2)))+(-(-(13/144/((3*x)-1)^2)))+(-(1/16/((2*x)-1)^2))+(-(923/10800/(x-1)^2))+(-(1/24/((4*x)-1)^3))+(-(1/16/((2*x)-1)^3))+(-(19/720/(x-1)^3))+(-(1/24/((3*x)-1)^4))+(-(3/32/((2*x)-1)^4))+(-(1/32/((2*x)-1)^5))+(-(3/160)))
A248917 = ((3*(A000498+(-((-(1/((4*x)-1)))+(-(1/((3*x)-1)^2))+(-(1/(x-1)^2))+(-(1/((2*x)-1)^3))+(-(2/(x-1)^3))+(-(1/(x-1)^4))))))+(-(1/((2*x)-1)))+(-(1/(x-1)))+(-(2/((2*x)-1)^3)))
A248917 = (((-(1/2))*differential((A000498+(-((-(1/((4*x)-1)))+(-(1/((3*x)-1)^2))+(-(1/(x-1)^2))+(-(1/((2*x)-1)^3))+(-(2/(x-1)^3))+(-(1/(x-1)^4)))))))+(-(1/((2*x)-1)))+(-(1/(x-1)))+(-(3/((2*x)-1)^2)))
A257890 = (((-1)*(A000498+(-((-(1/((4*x)-1)))+(-(1/((3*x)-1)^2))+(-(1/((2*x)-1)^2))+(-(1/((2*x)-1)^3))+(-(2/(x-1)^3))+(-(1/(x-1)^4))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257464 = (((-(7/48))*differential((A000498+(-((-(1/((4*x)-1)))+(-(1/((3*x)-1)^2))+(-(1/((2*x)-1)^2))+(-(1/((2*x)-1)^3))+(-(2/(x-1)^3))+(-(1/(x-1)^4)))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A248917 = ((2*(A000498+(-((-(1/((4*x)-1)))+(-(1/((3*x)-1)^2))+(-(1/((2*x)-1)^2))+(-(1/(x-1)^2))+(-(2/(x-1)^3))+(-(1/(x-1)^4))))))+(-(1/((2*x)-1)))+(-(1/(x-1)))+(-(3/((2*x)-1)^2)))
A248917 = (((-12)*integrate((A000498+(-((-(1/((4*x)-1)))+(-(1/((3*x)-1)^2))+(-(1/((2*x)-1)^2))+(-(1/(x-1)^2))+(-(2/(x-1)^3))+(-(1/(x-1)^4)))))))+(-(1/((2*x)-1)))+(-(1/(x-1)))+(-(2/((2*x)-1)^3)))
A241874 = (((-(1/64))*differential((A000498+(-((-(1/((4*x)-1)))+(-(1/((3*x)-1)^2))+(-(1/((2*x)-1)^2))+(-(1/(x-1)^2))+(-(2/(x-1)^3))+(-(1/(x-1)^4)))))))+(-(4/125/((6*x)-1)))+(-(-(-(9/160/((5*x)-1)))))+(-(-(-(1/24/((4*x)-1)))))+(-(-(5/288/((3*x)-1))))+(-(-(3/32/((2*x)-1))))+(-(-(593/6000/(x-1))))+(-(-(3/80/((5*x)-1)^2)))+(-(-(5/54/((4*x)-1)^2)))+(-(-(13/144/((3*x)-1)^2)))+(-(1/16/((2*x)-1)^2))+(-(923/10800/(x-1)^2))+(-(1/24/((4*x)-1)^3))+(-(17/144/((3*x)-1)^3))+(-(1/16/((2*x)-1)^3))+(-(19/720/(x-1)^3))+(-(1/24/((3*x)-1)^4))+(-(1/32/((2*x)-1)^5))+(-(3/160)))
A257464 = (((7/48)*(A000498+(-((-(1/((4*x)-1)))+(-(1/((3*x)-1)^2))+(-(1/((2*x)-1)^2))+(-(1/(x-1)^2))+(-(1/((2*x)-1)^3))+(-(1/(x-1)^4))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257890 = ((1*integrate((A000498+(-((-(1/((4*x)-1)))+(-(1/((3*x)-1)^2))+(-(1/((2*x)-1)^2))+(-(1/(x-1)^2))+(-(1/((2*x)-1)^3))+(-(1/(x-1)^4)))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257890 = (((1/6)*differential((A000498+(-((-(1/((4*x)-1)))+(-(1/((3*x)-1)^2))+(-(1/((2*x)-1)^2))+(-(1/(x-1)^2))+(-(1/((2*x)-1)^3))+(-(1/(x-1)^4)))))))+(1/(x-1)^2)+(1/(x-1)^6))
A257890 = (((-1)*(A000498+(-((-(1/((4*x)-1)))+(-(1/((3*x)-1)^2))+(-(1/((2*x)-1)^2))+(-(1/(x-1)^2))+(-(1/((2*x)-1)^3))+(-(2/(x-1)^3))))))+(1/(x-1)^2)+(1/(x-1)^6))
A257464 = (((-(7/8))*integrate((A000498+(-((-(1/((4*x)-1)))+(-(1/((3*x)-1)^2))+(-(1/((2*x)-1)^2))+(-(1/(x-1)^2))+(-(1/((2*x)-1)^3))+(-(2/(x-1)^3)))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257464 = (((-(1/8))*differential((A000498+(-((-(1/((4*x)-1)))+(-(1/((3*x)-1)^2))+(-(1/((2*x)-1)^2))+(-(1/(x-1)^2))+(-(1/((2*x)-1)^3))+(-(2/(x-1)^3)))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(7/24/(x-1)^3))+(-(1/2/(x-1)^4)))
A230539 = ((24*differential((A000517+(-((-(3/64/((6*x)-1)))+(-(7/64/((4*x)-1)))+(-(7/64/((2*x)-1)))+(-(1/64/((6*x)-1)^2))+(-(7/64/((4*x)-1)^2))+(-(21/64/((2*x)-1)^2))+(-(1/32/((4*x)-1)^3))+(-(1/4/((2*x)-1)^3))+(-(1/16/((2*x)-1)^4))+(-(5/128)))))))+(3/2/((8*x)-1)))
A229689 = (((-(64/27))*differential((A000517+(-((-(1/128/((8*x)-1)))+(-(7/64/((4*x)-1)))+(-(7/64/((2*x)-1)))+(-(1/64/((6*x)-1)^2))+(-(7/64/((4*x)-1)^2))+(-(21/64/((2*x)-1)^2))+(-(1/32/((4*x)-1)^3))+(-(1/4/((2*x)-1)^3))+(-(1/16/((2*x)-1)^4))+(-(5/128)))))))+((1/2)*x)+(-(13/36/((6*x)-1)))+(-(16/27/((6*x)-1)^3))+(47/108))
A241874 = (((40/189)*differential((A000517+(-((-(1/128/((8*x)-1)))+(-(3/64/((6*x)-1)))+(-(7/64/((2*x)-1)))+(-(1/64/((6*x)-1)^2))+(-(7/64/((4*x)-1)^2))+(-(21/64/((2*x)-1)^2))+(-(1/32/((4*x)-1)^3))+(-(1/4/((2*x)-1)^3))+(-(1/16/((2*x)-1)^4))+(-(5/128)))))))+(-(4/125/((6*x)-1)))+(-(-(-(9/160/((5*x)-1)))))+(-(-(-(1/24/((4*x)-1)))))+(-(-(5/288/((3*x)-1))))+(-(-(3/32/((2*x)-1))))+(-(-(593/6000/(x-1))))+(-(-(3/80/((5*x)-1)^2)))+(-(-(13/144/((3*x)-1)^2)))+(-(1/16/((2*x)-1)^2))+(-(923/10800/(x-1)^2))+(-(1/24/((4*x)-1)^3))+(-(17/144/((3*x)-1)^3))+(-(1/16/((2*x)-1)^3))+(-(19/720/(x-1)^3))+(-(1/24/((3*x)-1)^4))+(-(3/32/((2*x)-1)^4))+(-(1/32/((2*x)-1)^5))+(-(3/160)))
A248917 = (((-(96/7))*differential((A000517+(-((-(1/128/((8*x)-1)))+(-(3/64/((6*x)-1)))+(-(7/64/((4*x)-1)))+(-(1/64/((6*x)-1)^2))+(-(7/64/((4*x)-1)^2))+(-(21/64/((2*x)-1)^2))+(-(1/32/((4*x)-1)^3))+(-(1/4/((2*x)-1)^3))+(-(1/16/((2*x)-1)^4))+(-(5/128)))))))+(-(1/((2*x)-1)))+(-(1/(x-1)))+(-(2/((2*x)-1)^3)))
A229689 = (((128/3)*(A000517+(-((-(1/128/((8*x)-1)))+(-(3/64/((6*x)-1)))+(-(7/64/((4*x)-1)))+(-(7/64/((2*x)-1)))+(-(7/64/((4*x)-1)^2))+(-(21/64/((2*x)-1)^2))+(-(1/32/((4*x)-1)^3))+(-(1/4/((2*x)-1)^3))+(-(1/16/((2*x)-1)^4))+(-(5/128))))))+((1/2)*x)+(-(13/36/((6*x)-1)))+(-(16/27/((6*x)-1)^3))+(47/108))
A229689 = (((-(256/81))*differential((A000517+(-((-(1/128/((8*x)-1)))+(-(3/64/((6*x)-1)))+(-(7/64/((4*x)-1)))+(-(7/64/((2*x)-1)))+(-(7/64/((4*x)-1)^2))+(-(21/64/((2*x)-1)^2))+(-(1/32/((4*x)-1)^3))+(-(1/4/((2*x)-1)^3))+(-(1/16/((2*x)-1)^4))+(-(5/128)))))))+((1/2)*x)+(-(13/36/((6*x)-1)))+(-(2/3/((6*x)-1)^2))+(47/108))
A241874 = (((-(160/189))*(A000517+(-((-(1/128/((8*x)-1)))+(-(3/64/((6*x)-1)))+(-(7/64/((4*x)-1)))+(-(7/64/((2*x)-1)))+(-(1/64/((6*x)-1)^2))+(-(21/64/((2*x)-1)^2))+(-(1/32/((4*x)-1)^3))+(-(1/4/((2*x)-1)^3))+(-(1/16/((2*x)-1)^4))+(-(5/128))))))+(-(4/125/((6*x)-1)))+(-(-(-(9/160/((5*x)-1)))))+(-(-(-(1/24/((4*x)-1)))))+(-(-(5/288/((3*x)-1))))+(-(-(3/32/((2*x)-1))))+(-(-(593/6000/(x-1))))+(-(-(3/80/((5*x)-1)^2)))+(-(-(13/144/((3*x)-1)^2)))+(-(1/16/((2*x)-1)^2))+(-(923/10800/(x-1)^2))+(-(1/24/((4*x)-1)^3))+(-(17/144/((3*x)-1)^3))+(-(1/16/((2*x)-1)^3))+(-(19/720/(x-1)^3))+(-(1/24/((3*x)-1)^4))+(-(3/32/((2*x)-1)^4))+(-(1/32/((2*x)-1)^5))+(-(3/160)))
A241874 = (((-(1/21))*differential((A000517+(-((-(1/128/((8*x)-1)))+(-(3/64/((6*x)-1)))+(-(7/64/((4*x)-1)))+(-(7/64/((2*x)-1)))+(-(1/64/((6*x)-1)^2))+(-(21/64/((2*x)-1)^2))+(-(1/32/((4*x)-1)^3))+(-(1/4/((2*x)-1)^3))+(-(1/16/((2*x)-1)^4))+(-(5/128)))))))+(-(4/125/((6*x)-1)))+(-(-(-(9/160/((5*x)-1)))))+(-(-(-(1/24/((4*x)-1)))))+(-(-(5/288/((3*x)-1))))+(-(-(3/32/((2*x)-1))))+(-(-(593/6000/(x-1))))+(-(-(3/80/((5*x)-1)^2)))+(-(-(5/54/((4*x)-1)^2)))+(-(-(13/144/((3*x)-1)^2)))+(-(1/16/((2*x)-1)^2))+(-(923/10800/(x-1)^2))+(-(17/144/((3*x)-1)^3))+(-(1/16/((2*x)-1)^3))+(-(19/720/(x-1)^3))+(-(1/24/((3*x)-1)^4))+(-(3/32/((2*x)-1)^4))+(-(1/32/((2*x)-1)^5))+(-(3/160)))
A248917 = (((64/7)*(A000517+(-((-(1/128/((8*x)-1)))+(-(3/64/((6*x)-1)))+(-(7/64/((4*x)-1)))+(-(7/64/((2*x)-1)))+(-(1/64/((6*x)-1)^2))+(-(7/64/((4*x)-1)^2))+(-(1/32/((4*x)-1)^3))+(-(1/4/((2*x)-1)^3))+(-(1/16/((2*x)-1)^4))+(-(5/128))))))+(-(1/((2*x)-1)))+(-(1/(x-1)))+(-(2/((2*x)-1)^3)))
A248917 = (((-(32/21))*differential((A000517+(-((-(1/128/((8*x)-1)))+(-(3/64/((6*x)-1)))+(-(7/64/((4*x)-1)))+(-(7/64/((2*x)-1)))+(-(1/64/((6*x)-1)^2))+(-(7/64/((4*x)-1)^2))+(-(1/32/((4*x)-1)^3))+(-(1/4/((2*x)-1)^3))+(-(1/16/((2*x)-1)^4))+(-(5/128)))))))+(-(1/((2*x)-1)))+(-(1/(x-1)))+(-(3/((2*x)-1)^2)))
A241874 = (((4/3)*(A000517+(-((-(1/128/((8*x)-1)))+(-(3/64/((6*x)-1)))+(-(7/64/((4*x)-1)))+(-(7/64/((2*x)-1)))+(-(1/64/((6*x)-1)^2))+(-(7/64/((4*x)-1)^2))+(-(21/64/((2*x)-1)^2))+(-(1/4/((2*x)-1)^3))+(-(1/16/((2*x)-1)^4))+(-(5/128))))))+(-(4/125/((6*x)-1)))+(-(-(-(9/160/((5*x)-1)))))+(-(-(-(1/24/((4*x)-1)))))+(-(-(5/288/((3*x)-1))))+(-(-(3/32/((2*x)-1))))+(-(-(593/6000/(x-1))))+(-(-(3/80/((5*x)-1)^2)))+(-(-(5/54/((4*x)-1)^2)))+(-(-(13/144/((3*x)-1)^2)))+(-(1/16/((2*x)-1)^2))+(-(923/10800/(x-1)^2))+(-(17/144/((3*x)-1)^3))+(-(1/16/((2*x)-1)^3))+(-(19/720/(x-1)^3))+(-(1/24/((3*x)-1)^4))+(-(3/32/((2*x)-1)^4))+(-(1/32/((2*x)-1)^5))+(-(3/160)))
A241874 = (((640/27)*integrate((A000517+(-((-(1/128/((8*x)-1)))+(-(3/64/((6*x)-1)))+(-(7/64/((4*x)-1)))+(-(7/64/((2*x)-1)))+(-(1/64/((6*x)-1)^2))+(-(7/64/((4*x)-1)^2))+(-(21/64/((2*x)-1)^2))+(-(1/4/((2*x)-1)^3))+(-(1/16/((2*x)-1)^4))+(-(5/128)))))))+(-(4/125/((6*x)-1)))+(-(-(-(9/160/((5*x)-1)))))+(-(-(-(1/24/((4*x)-1)))))+(-(-(5/288/((3*x)-1))))+(-(-(3/32/((2*x)-1))))+(-(-(593/6000/(x-1))))+(-(-(3/80/((5*x)-1)^2)))+(-(-(13/144/((3*x)-1)^2)))+(-(1/16/((2*x)-1)^2))+(-(923/10800/(x-1)^2))+(-(1/24/((4*x)-1)^3))+(-(17/144/((3*x)-1)^3))+(-(1/16/((2*x)-1)^3))+(-(19/720/(x-1)^3))+(-(1/24/((3*x)-1)^4))+(-(3/32/((2*x)-1)^4))+(-(1/32/((2*x)-1)^5))+(-(3/160)))
A227714 = ((576*differential((A000517+(-((-(1/128/((8*x)-1)))+(-(3/64/((6*x)-1)))+(-(7/64/((4*x)-1)))+(-(7/64/((2*x)-1)))+(-(1/64/((6*x)-1)^2))+(-(7/64/((4*x)-1)^2))+(-(21/64/((2*x)-1)^2))+(-(1/4/((2*x)-1)^3))+(-(1/16/((2*x)-1)^4))+(-(5/128)))))))+(-(1315/2/((4*x)-1)))+(-(-(-(-(3715/2/((2*x)-1))))))+(-(-(-(1093/(x-1)))))+(-(-(-(549/2/((4*x)-1)^2))))+(-(-(-(225/((2*x)-1)^2))))+(-(-(-(514/(x-1)^2))))+(-(-(-(651/2/((4*x)-1)^3))))+(-(-(80/((2*x)-1)^3)))+(-(-(241/(x-1)^3)))+(-(27/((2*x)-1)^4))+(-(95/(x-1)^4))+(-(54/((4*x)-1)^5))+(162/((2*x)-1)^5)+(83/(x-1)^5)+(63/((2*x)-1)^6))
A248917 = ((8*(A000517+(-((-(1/128/((8*x)-1)))+(-(3/64/((6*x)-1)))+(-(7/64/((4*x)-1)))+(-(7/64/((2*x)-1)))+(-(1/64/((6*x)-1)^2))+(-(7/64/((4*x)-1)^2))+(-(21/64/((2*x)-1)^2))+(-(1/32/((4*x)-1)^3))+(-(1/16/((2*x)-1)^4))+(-(5/128))))))+(-(1/((2*x)-1)))+(-(1/(x-1)))+(-(3/((2*x)-1)^2)))
A248917 = (((-48)*integrate((A000517+(-((-(1/128/((8*x)-1)))+(-(3/64/((6*x)-1)))+(-(7/64/((4*x)-1)))+(-(7/64/((2*x)-1)))+(-(1/64/((6*x)-1)^2))+(-(7/64/((4*x)-1)^2))+(-(21/64/((2*x)-1)^2))+(-(1/32/((4*x)-1)^3))+(-(1/16/((2*x)-1)^4))+(-(5/128)))))))+(-(1/((2*x)-1)))+(-(1/(x-1)))+(-(2/((2*x)-1)^3)))
A241874 = (((-(1/16))*differential((A000517+(-((-(1/128/((8*x)-1)))+(-(3/64/((6*x)-1)))+(-(7/64/((4*x)-1)))+(-(7/64/((2*x)-1)))+(-(1/64/((6*x)-1)^2))+(-(7/64/((4*x)-1)^2))+(-(21/64/((2*x)-1)^2))+(-(1/32/((4*x)-1)^3))+(-(1/16/((2*x)-1)^4))+(-(5/128)))))))+(-(4/125/((6*x)-1)))+(-(-(-(9/160/((5*x)-1)))))+(-(-(-(1/24/((4*x)-1)))))+(-(-(5/288/((3*x)-1))))+(-(-(3/32/((2*x)-1))))+(-(-(593/6000/(x-1))))+(-(-(3/80/((5*x)-1)^2)))+(-(-(5/54/((4*x)-1)^2)))+(-(-(13/144/((3*x)-1)^2)))+(-(1/16/((2*x)-1)^2))+(-(923/10800/(x-1)^2))+(-(1/24/((4*x)-1)^3))+(-(17/144/((3*x)-1)^3))+(-(1/16/((2*x)-1)^3))+(-(19/720/(x-1)^3))+(-(1/24/((3*x)-1)^4))+(-(1/32/((2*x)-1)^5))+(-(3/160)))
A241874 = (((3/2)*(A000517+(-((-(1/128/((8*x)-1)))+(-(3/64/((6*x)-1)))+(-(7/64/((4*x)-1)))+(-(7/64/((2*x)-1)))+(-(1/64/((6*x)-1)^2))+(-(7/64/((4*x)-1)^2))+(-(21/64/((2*x)-1)^2))+(-(1/32/((4*x)-1)^3))+(-(1/4/((2*x)-1)^3))+(-(5/128))))))+(-(4/125/((6*x)-1)))+(-(-(-(9/160/((5*x)-1)))))+(-(-(-(1/24/((4*x)-1)))))+(-(-(5/288/((3*x)-1))))+(-(-(3/32/((2*x)-1))))+(-(-(593/6000/(x-1))))+(-(-(3/80/((5*x)-1)^2)))+(-(-(5/54/((4*x)-1)^2)))+(-(-(13/144/((3*x)-1)^2)))+(-(1/16/((2*x)-1)^2))+(-(923/10800/(x-1)^2))+(-(1/24/((4*x)-1)^3))+(-(17/144/((3*x)-1)^3))+(-(1/16/((2*x)-1)^3))+(-(19/720/(x-1)^3))+(-(1/24/((3*x)-1)^4))+(-(1/32/((2*x)-1)^5))+(-(3/160)))
A248917 = (((-192)*integrate((A000517+(-((-(1/128/((8*x)-1)))+(-(3/64/((6*x)-1)))+(-(7/64/((4*x)-1)))+(-(7/64/((2*x)-1)))+(-(1/64/((6*x)-1)^2))+(-(7/64/((4*x)-1)^2))+(-(21/64/((2*x)-1)^2))+(-(1/32/((4*x)-1)^3))+(-(1/4/((2*x)-1)^3))+(-(5/128)))))))+(-(1/((2*x)-1)))+(-(1/(x-1)))+(-(3/((2*x)-1)^2)))
A241874 = (((-(1/16))*differential((A000517+(-((-(1/128/((8*x)-1)))+(-(3/64/((6*x)-1)))+(-(7/64/((4*x)-1)))+(-(7/64/((2*x)-1)))+(-(1/64/((6*x)-1)^2))+(-(7/64/((4*x)-1)^2))+(-(21/64/((2*x)-1)^2))+(-(1/32/((4*x)-1)^3))+(-(1/4/((2*x)-1)^3))+(-(5/128)))))))+(-(4/125/((6*x)-1)))+(-(-(-(9/160/((5*x)-1)))))+(-(-(-(1/24/((4*x)-1)))))+(-(-(5/288/((3*x)-1))))+(-(-(3/32/((2*x)-1))))+(-(-(593/6000/(x-1))))+(-(-(3/80/((5*x)-1)^2)))+(-(-(5/54/((4*x)-1)^2)))+(-(-(13/144/((3*x)-1)^2)))+(-(1/16/((2*x)-1)^2))+(-(923/10800/(x-1)^2))+(-(1/24/((4*x)-1)^3))+(-(17/144/((3*x)-1)^3))+(-(1/16/((2*x)-1)^3))+(-(19/720/(x-1)^3))+(-(1/24/((3*x)-1)^4))+(-(3/32/((2*x)-1)^4))+(-(3/160)))
A255381 = (((81/1000)*differential((A000533+(-((-(1/(x-1)))+(-1))))))+(-(9/50/((10*x)-1)))+(1/100))
A257890 = ((1*differential((A000533+(-((-(1/((10*x)-1)))+(-1))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257890 = (((-1)*(A000537+(-((-(7/(x-1)^3))+(-(12/(x-1)^4))+(-(6/(x-1)^5))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257464 = (((-(7/48))*differential((A000537+(-((-(7/(x-1)^3))+(-(12/(x-1)^4))+(-(6/(x-1)^5)))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257464 = (((1/24)*(A000537+(-((-(1/(x-1)^2))+(-(12/(x-1)^4))+(-(6/(x-1)^5))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257890 = (((2/7)*integrate((A000537+(-((-(1/(x-1)^2))+(-(12/(x-1)^4))+(-(6/(x-1)^5)))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257890 = (((1/21)*differential((A000537+(-((-(1/(x-1)^2))+(-(12/(x-1)^4))+(-(6/(x-1)^5)))))))+(1/(x-1)^2)+(1/(x-1)^6))
A257890 = (((-(1/12))*(A000537+(-((-(1/(x-1)^2))+(-(7/(x-1)^3))+(-(6/(x-1)^5))))))+(1/(x-1)^2)+(1/(x-1)^6))
A257464 = (((-(7/96))*integrate((A000537+(-((-(1/(x-1)^2))+(-(7/(x-1)^3))+(-(6/(x-1)^5)))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257464 = (((-(1/96))*differential((A000537+(-((-(1/(x-1)^2))+(-(7/(x-1)^3))+(-(6/(x-1)^5)))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(7/24/(x-1)^3))+(-(1/2/(x-1)^4)))
A257464 = (((1/12)*(A000537+(-((-(1/(x-1)^2))+(-(7/(x-1)^3))+(-(12/(x-1)^4))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(7/24/(x-1)^3))+(-(1/2/(x-1)^4)))
A257890 = (((2/3)*integrate((A000537+(-((-(1/(x-1)^2))+(-(7/(x-1)^3))+(-(12/(x-1)^4)))))))+(1/(x-1)^2)+(1/(x-1)^6))
A257890 = (((1/30)*differential((A000537+(-((-(1/(x-1)^2))+(-(7/(x-1)^3))+(-(12/(x-1)^4)))))))+(1/(x-1)^2)+(1/(x-1)^4))
A257890 = ((1*(A000540+(-((63/(x-1)^3)+(602/(x-1)^4)+(2100/(x-1)^5)+(3360/(x-1)^6)+(2520/(x-1)^7)+(720/(x-1)^8)))))+(1/(x-1)^4)+(1/(x-1)^6))
A257464 = (((7/48)*differential((A000540+(-((63/(x-1)^3)+(602/(x-1)^4)+(2100/(x-1)^5)+(3360/(x-1)^6)+(2520/(x-1)^7)+(720/(x-1)^8))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257464 = (((-(1/216))*(A000540+(-((1/(x-1)^2)+(602/(x-1)^4)+(2100/(x-1)^5)+(3360/(x-1)^6)+(2520/(x-1)^7)+(720/(x-1)^8)))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257890 = (((-(2/63))*integrate((A000540+(-((1/(x-1)^2)+(602/(x-1)^4)+(2100/(x-1)^5)+(3360/(x-1)^6)+(2520/(x-1)^7)+(720/(x-1)^8))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257890 = (((-(1/189))*differential((A000540+(-((1/(x-1)^2)+(602/(x-1)^4)+(2100/(x-1)^5)+(3360/(x-1)^6)+(2520/(x-1)^7)+(720/(x-1)^8))))))+(1/(x-1)^2)+(1/(x-1)^6))
A257890 = (((1/602)*(A000540+(-((1/(x-1)^2)+(63/(x-1)^3)+(2100/(x-1)^5)+(3360/(x-1)^6)+(2520/(x-1)^7)+(720/(x-1)^8)))))+(1/(x-1)^2)+(1/(x-1)^6))
A257464 = (((1/688)*integrate((A000540+(-((1/(x-1)^2)+(63/(x-1)^3)+(2100/(x-1)^5)+(3360/(x-1)^6)+(2520/(x-1)^7)+(720/(x-1)^8))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257464 = (((1/4816)*differential((A000540+(-((1/(x-1)^2)+(63/(x-1)^3)+(2100/(x-1)^5)+(3360/(x-1)^6)+(2520/(x-1)^7)+(720/(x-1)^8))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(7/24/(x-1)^3))+(-(1/2/(x-1)^4)))
A257464 = (((-(1/4200))*(A000540+(-((1/(x-1)^2)+(63/(x-1)^3)+(602/(x-1)^4)+(3360/(x-1)^6)+(2520/(x-1)^7)+(720/(x-1)^8)))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(7/24/(x-1)^3))+(-(1/2/(x-1)^4)))
A257890 = (((-(1/525))*integrate((A000540+(-((1/(x-1)^2)+(63/(x-1)^3)+(602/(x-1)^4)+(3360/(x-1)^6)+(2520/(x-1)^7)+(720/(x-1)^8))))))+(1/(x-1)^2)+(1/(x-1)^6))
A257890 = (((-(1/10500))*differential((A000540+(-((1/(x-1)^2)+(63/(x-1)^3)+(602/(x-1)^4)+(3360/(x-1)^6)+(2520/(x-1)^7)+(720/(x-1)^8))))))+(1/(x-1)^2)+(1/(x-1)^4))
A257890 = (((1/3360)*(A000540+(-((1/(x-1)^2)+(63/(x-1)^3)+(602/(x-1)^4)+(2100/(x-1)^5)+(2520/(x-1)^7)+(720/(x-1)^8)))))+(1/(x-1)^2)+(1/(x-1)^4))
A257464 = (((1/1344)*integrate((A000540+(-((1/(x-1)^2)+(63/(x-1)^3)+(602/(x-1)^4)+(2100/(x-1)^5)+(2520/(x-1)^7)+(720/(x-1)^8))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(7/24/(x-1)^3))+(-(1/2/(x-1)^4)))
A257201 = (((-(1/10080))*differential((A000540+(-((1/(x-1)^2)+(63/(x-1)^3)+(602/(x-1)^4)+(2100/(x-1)^5)+(2520/(x-1)^7)+(720/(x-1)^8))))))+(1/(x-1)^5)+(2/(x-1)^6)+(1/(x-1)^8))
A257201 = (((1/1260)*(A000540+(-((1/(x-1)^2)+(63/(x-1)^3)+(602/(x-1)^4)+(2100/(x-1)^5)+(3360/(x-1)^6)+(720/(x-1)^8)))))+(1/(x-1)^5)+(2/(x-1)^6)+(1/(x-1)^8))
A257890 = (((-(1/420))*integrate((A000540+(-((1/(x-1)^2)+(63/(x-1)^3)+(602/(x-1)^4)+(2100/(x-1)^5)+(3360/(x-1)^6)+(720/(x-1)^8))))))+(1/(x-1)^2)+(1/(x-1)^4))
A257201 = (((-(1/17640))*differential((A000540+(-((1/(x-1)^2)+(63/(x-1)^3)+(602/(x-1)^4)+(2100/(x-1)^5)+(3360/(x-1)^6)+(720/(x-1)^8))))))+(1/(x-1)^5)+(2/(x-1)^6)+(2/(x-1)^7))
A257201 = (((1/720)*(A000540+(-((1/(x-1)^2)+(63/(x-1)^3)+(602/(x-1)^4)+(2100/(x-1)^5)+(3360/(x-1)^6)+(2520/(x-1)^7)))))+(1/(x-1)^5)+(2/(x-1)^6)+(2/(x-1)^7))
A257201 = (((-(7/360))*integrate((A000540+(-((1/(x-1)^2)+(63/(x-1)^3)+(602/(x-1)^4)+(2100/(x-1)^5)+(3360/(x-1)^6)+(2520/(x-1)^7))))))+(1/(x-1)^5)+(2/(x-1)^6)+(1/(x-1)^8))
A256181 = (((73603/5760)*differential((A000540+(-((1/(x-1)^2)+(63/(x-1)^3)+(602/(x-1)^4)+(2100/(x-1)^5)+(3360/(x-1)^6)+(2520/(x-1)^7))))))+(-(1/(x-1)))+(-(3/(x-1)^3))+(-(102/(x-1)^4))+(-(1305/(x-1)^5))+(-(7812/(x-1)^6))+(-(26333/(x-1)^7))+(-(54854/(x-1)^8))+(-(63976/(x-1)^10))+(-(34905/(x-1)^11))+(-(10890/(x-1)^12))+(-(1485/(x-1)^13))+(-1))
A257890 = (((-1)*(A000541+(-((-(127/(x-1)^3))+(-(1932/(x-1)^4))+(-(10206/(x-1)^5))+(-(25200/(x-1)^6))+(-(31920/(x-1)^7))+(-(20160/(x-1)^8))+(-(5040/(x-1)^9))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257464 = (((-(7/48))*differential((A000541+(-((-(127/(x-1)^3))+(-(1932/(x-1)^4))+(-(10206/(x-1)^5))+(-(25200/(x-1)^6))+(-(31920/(x-1)^7))+(-(20160/(x-1)^8))+(-(5040/(x-1)^9)))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257464 = (((7/3048)*(A000541+(-((-(1/(x-1)^2))+(-(1932/(x-1)^4))+(-(10206/(x-1)^5))+(-(25200/(x-1)^6))+(-(31920/(x-1)^7))+(-(20160/(x-1)^8))+(-(5040/(x-1)^9))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257890 = (((2/127)*integrate((A000541+(-((-(1/(x-1)^2))+(-(1932/(x-1)^4))+(-(10206/(x-1)^5))+(-(25200/(x-1)^6))+(-(31920/(x-1)^7))+(-(20160/(x-1)^8))+(-(5040/(x-1)^9)))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257890 = (((1/381)*differential((A000541+(-((-(1/(x-1)^2))+(-(1932/(x-1)^4))+(-(10206/(x-1)^5))+(-(25200/(x-1)^6))+(-(31920/(x-1)^7))+(-(20160/(x-1)^8))+(-(5040/(x-1)^9)))))))+(1/(x-1)^2)+(1/(x-1)^6))
A257890 = (((-(1/1932))*(A000541+(-((-(1/(x-1)^2))+(-(127/(x-1)^3))+(-(10206/(x-1)^5))+(-(25200/(x-1)^6))+(-(31920/(x-1)^7))+(-(20160/(x-1)^8))+(-(5040/(x-1)^9))))))+(1/(x-1)^2)+(1/(x-1)^6))
A257464 = (((-(1/2208))*integrate((A000541+(-((-(1/(x-1)^2))+(-(127/(x-1)^3))+(-(10206/(x-1)^5))+(-(25200/(x-1)^6))+(-(31920/(x-1)^7))+(-(20160/(x-1)^8))+(-(5040/(x-1)^9)))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257464 = (((-(1/15456))*differential((A000541+(-((-(1/(x-1)^2))+(-(127/(x-1)^3))+(-(10206/(x-1)^5))+(-(25200/(x-1)^6))+(-(31920/(x-1)^7))+(-(20160/(x-1)^8))+(-(5040/(x-1)^9)))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(7/24/(x-1)^3))+(-(1/2/(x-1)^4)))
A257464 = (((1/20412)*(A000541+(-((-(1/(x-1)^2))+(-(127/(x-1)^3))+(-(1932/(x-1)^4))+(-(25200/(x-1)^6))+(-(31920/(x-1)^7))+(-(20160/(x-1)^8))+(-(5040/(x-1)^9))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(7/24/(x-1)^3))+(-(1/2/(x-1)^4)))
A257890 = (((2/5103)*integrate((A000541+(-((-(1/(x-1)^2))+(-(127/(x-1)^3))+(-(1932/(x-1)^4))+(-(25200/(x-1)^6))+(-(31920/(x-1)^7))+(-(20160/(x-1)^8))+(-(5040/(x-1)^9)))))))+(1/(x-1)^2)+(1/(x-1)^6))
A257890 = (((1/51030)*differential((A000541+(-((-(1/(x-1)^2))+(-(127/(x-1)^3))+(-(1932/(x-1)^4))+(-(25200/(x-1)^6))+(-(31920/(x-1)^7))+(-(20160/(x-1)^8))+(-(5040/(x-1)^9)))))))+(1/(x-1)^2)+(1/(x-1)^4))
A257890 = (((-(1/25200))*(A000541+(-((-(1/(x-1)^2))+(-(127/(x-1)^3))+(-(1932/(x-1)^4))+(-(10206/(x-1)^5))+(-(31920/(x-1)^7))+(-(20160/(x-1)^8))+(-(5040/(x-1)^9))))))+(1/(x-1)^2)+(1/(x-1)^4))
A257464 = (((-(1/10080))*integrate((A000541+(-((-(1/(x-1)^2))+(-(127/(x-1)^3))+(-(1932/(x-1)^4))+(-(10206/(x-1)^5))+(-(31920/(x-1)^7))+(-(20160/(x-1)^8))+(-(5040/(x-1)^9)))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(7/24/(x-1)^3))+(-(1/2/(x-1)^4)))
A257201 = (((1/75600)*differential((A000541+(-((-(1/(x-1)^2))+(-(127/(x-1)^3))+(-(1932/(x-1)^4))+(-(10206/(x-1)^5))+(-(31920/(x-1)^7))+(-(20160/(x-1)^8))+(-(5040/(x-1)^9)))))))+(1/(x-1)^5)+(2/(x-1)^6)+(1/(x-1)^8))
A257201 = (((-(1/15960))*(A000541+(-((-(1/(x-1)^2))+(-(127/(x-1)^3))+(-(1932/(x-1)^4))+(-(10206/(x-1)^5))+(-(25200/(x-1)^6))+(-(20160/(x-1)^8))+(-(5040/(x-1)^9))))))+(1/(x-1)^5)+(2/(x-1)^6)+(1/(x-1)^8))
A257890 = (((1/5320)*integrate((A000541+(-((-(1/(x-1)^2))+(-(127/(x-1)^3))+(-(1932/(x-1)^4))+(-(10206/(x-1)^5))+(-(25200/(x-1)^6))+(-(20160/(x-1)^8))+(-(5040/(x-1)^9)))))))+(1/(x-1)^2)+(1/(x-1)^4))
A257201 = (((1/223440)*differential((A000541+(-((-(1/(x-1)^2))+(-(127/(x-1)^3))+(-(1932/(x-1)^4))+(-(10206/(x-1)^5))+(-(25200/(x-1)^6))+(-(20160/(x-1)^8))+(-(5040/(x-1)^9)))))))+(1/(x-1)^5)+(2/(x-1)^6)+(2/(x-1)^7))
A257201 = (((-(1/20160))*(A000541+(-((-(1/(x-1)^2))+(-(127/(x-1)^3))+(-(1932/(x-1)^4))+(-(10206/(x-1)^5))+(-(25200/(x-1)^6))+(-(31920/(x-1)^7))+(-(5040/(x-1)^9))))))+(1/(x-1)^5)+(2/(x-1)^6)+(2/(x-1)^7))
A257201 = (((1/1440)*integrate((A000541+(-((-(1/(x-1)^2))+(-(127/(x-1)^3))+(-(1932/(x-1)^4))+(-(10206/(x-1)^5))+(-(25200/(x-1)^6))+(-(31920/(x-1)^7))+(-(5040/(x-1)^9)))))))+(1/(x-1)^5)+(2/(x-1)^6)+(1/(x-1)^8))
A256181 = (((-(73603/161280))*differential((A000541+(-((-(1/(x-1)^2))+(-(127/(x-1)^3))+(-(1932/(x-1)^4))+(-(10206/(x-1)^5))+(-(25200/(x-1)^6))+(-(31920/(x-1)^7))+(-(5040/(x-1)^9)))))))+(-(1/(x-1)))+(-(3/(x-1)^3))+(-(102/(x-1)^4))+(-(1305/(x-1)^5))+(-(7812/(x-1)^6))+(-(26333/(x-1)^7))+(-(54854/(x-1)^8))+(-(63976/(x-1)^10))+(-(34905/(x-1)^11))+(-(10890/(x-1)^12))+(-(1485/(x-1)^13))+(-1))
A256181 = (((73603/5040)*(A000541+(-((-(1/(x-1)^2))+(-(127/(x-1)^3))+(-(1932/(x-1)^4))+(-(10206/(x-1)^5))+(-(25200/(x-1)^6))+(-(31920/(x-1)^7))+(-(20160/(x-1)^8))))))+(-(1/(x-1)))+(-(3/(x-1)^3))+(-(102/(x-1)^4))+(-(1305/(x-1)^5))+(-(7812/(x-1)^6))+(-(26333/(x-1)^7))+(-(54854/(x-1)^8))+(-(63976/(x-1)^10))+(-(34905/(x-1)^11))+(-(10890/(x-1)^12))+(-(1485/(x-1)^13))+(-1))
A257201 = (((1/630)*integrate((A000541+(-((-(1/(x-1)^2))+(-(127/(x-1)^3))+(-(1932/(x-1)^4))+(-(10206/(x-1)^5))+(-(25200/(x-1)^6))+(-(31920/(x-1)^7))+(-(20160/(x-1)^8)))))))+(1/(x-1)^5)+(2/(x-1)^6)+(2/(x-1)^7))
A256181 = (((-(7997/5670))*differential((A000541+(-((-(1/(x-1)^2))+(-(127/(x-1)^3))+(-(1932/(x-1)^4))+(-(10206/(x-1)^5))+(-(25200/(x-1)^6))+(-(31920/(x-1)^7))+(-(20160/(x-1)^8)))))))+(-(1/(x-1)))+(-(3/(x-1)^3))+(-(102/(x-1)^4))+(-(1305/(x-1)^5))+(-(7812/(x-1)^6))+(-(26333/(x-1)^7))+(-(54854/(x-1)^8))+(-(73603/(x-1)^9))+(-(34905/(x-1)^11))+(-(10890/(x-1)^12))+(-(1485/(x-1)^13))+(-1))
A257890 = ((1*differential((A000543+(-((-(22/(x-1)^2))+(-(288/(x-1)^3))+(-(1985/(x-1)^4))+(-(6968/(x-1)^5))+(-(13230/(x-1)^6))+(-(13860/(x-1)^7))+(-(7560/(x-1)^8))+(-(1680/(x-1)^9)))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257890 = (((-(1/22))*(A000543+(-((-(1/(x-1)))+(-(288/(x-1)^3))+(-(1985/(x-1)^4))+(-(6968/(x-1)^5))+(-(13230/(x-1)^6))+(-(13860/(x-1)^7))+(-(7560/(x-1)^8))+(-(1680/(x-1)^9))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257464 = (((-(7/1056))*differential((A000543+(-((-(1/(x-1)))+(-(288/(x-1)^3))+(-(1985/(x-1)^4))+(-(6968/(x-1)^5))+(-(13230/(x-1)^6))+(-(13860/(x-1)^7))+(-(7560/(x-1)^8))+(-(1680/(x-1)^9)))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257464 = (((7/6912)*(A000543+(-((-(1/(x-1)))+(-(22/(x-1)^2))+(-(1985/(x-1)^4))+(-(6968/(x-1)^5))+(-(13230/(x-1)^6))+(-(13860/(x-1)^7))+(-(7560/(x-1)^8))+(-(1680/(x-1)^9))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257890 = (((1/144)*integrate((A000543+(-((-(1/(x-1)))+(-(22/(x-1)^2))+(-(1985/(x-1)^4))+(-(6968/(x-1)^5))+(-(13230/(x-1)^6))+(-(13860/(x-1)^7))+(-(7560/(x-1)^8))+(-(1680/(x-1)^9)))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257890 = (((1/864)*differential((A000543+(-((-(1/(x-1)))+(-(22/(x-1)^2))+(-(1985/(x-1)^4))+(-(6968/(x-1)^5))+(-(13230/(x-1)^6))+(-(13860/(x-1)^7))+(-(7560/(x-1)^8))+(-(1680/(x-1)^9)))))))+(1/(x-1)^2)+(1/(x-1)^6))
A257890 = (((-(1/1985))*(A000543+(-((-(1/(x-1)))+(-(22/(x-1)^2))+(-(288/(x-1)^3))+(-(6968/(x-1)^5))+(-(13230/(x-1)^6))+(-(13860/(x-1)^7))+(-(7560/(x-1)^8))+(-(1680/(x-1)^9))))))+(1/(x-1)^2)+(1/(x-1)^6))
A257464 = (((-(7/15880))*integrate((A000543+(-((-(1/(x-1)))+(-(22/(x-1)^2))+(-(288/(x-1)^3))+(-(6968/(x-1)^5))+(-(13230/(x-1)^6))+(-(13860/(x-1)^7))+(-(7560/(x-1)^8))+(-(1680/(x-1)^9)))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257464 = (((-(1/15880))*differential((A000543+(-((-(1/(x-1)))+(-(22/(x-1)^2))+(-(288/(x-1)^3))+(-(6968/(x-1)^5))+(-(13230/(x-1)^6))+(-(13860/(x-1)^7))+(-(7560/(x-1)^8))+(-(1680/(x-1)^9)))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(7/24/(x-1)^3))+(-(1/2/(x-1)^4)))
A257464 = (((1/13936)*(A000543+(-((-(1/(x-1)))+(-(22/(x-1)^2))+(-(288/(x-1)^3))+(-(1985/(x-1)^4))+(-(13230/(x-1)^6))+(-(13860/(x-1)^7))+(-(7560/(x-1)^8))+(-(1680/(x-1)^9))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(7/24/(x-1)^3))+(-(1/2/(x-1)^4)))
A257890 = (((1/1742)*integrate((A000543+(-((-(1/(x-1)))+(-(22/(x-1)^2))+(-(288/(x-1)^3))+(-(1985/(x-1)^4))+(-(13230/(x-1)^6))+(-(13860/(x-1)^7))+(-(7560/(x-1)^8))+(-(1680/(x-1)^9)))))))+(1/(x-1)^2)+(1/(x-1)^6))
A257890 = (((1/34840)*differential((A000543+(-((-(1/(x-1)))+(-(22/(x-1)^2))+(-(288/(x-1)^3))+(-(1985/(x-1)^4))+(-(13230/(x-1)^6))+(-(13860/(x-1)^7))+(-(7560/(x-1)^8))+(-(1680/(x-1)^9)))))))+(1/(x-1)^2)+(1/(x-1)^4))
A257890 = (((-(1/13230))*(A000543+(-((-(1/(x-1)))+(-(22/(x-1)^2))+(-(288/(x-1)^3))+(-(1985/(x-1)^4))+(-(6968/(x-1)^5))+(-(13860/(x-1)^7))+(-(7560/(x-1)^8))+(-(1680/(x-1)^9))))))+(1/(x-1)^2)+(1/(x-1)^4))
A257464 = (((-(1/5292))*integrate((A000543+(-((-(1/(x-1)))+(-(22/(x-1)^2))+(-(288/(x-1)^3))+(-(1985/(x-1)^4))+(-(6968/(x-1)^5))+(-(13860/(x-1)^7))+(-(7560/(x-1)^8))+(-(1680/(x-1)^9)))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(7/24/(x-1)^3))+(-(1/2/(x-1)^4)))
A257201 = (((1/39690)*differential((A000543+(-((-(1/(x-1)))+(-(22/(x-1)^2))+(-(288/(x-1)^3))+(-(1985/(x-1)^4))+(-(6968/(x-1)^5))+(-(13860/(x-1)^7))+(-(7560/(x-1)^8))+(-(1680/(x-1)^9)))))))+(1/(x-1)^5)+(2/(x-1)^6)+(1/(x-1)^8))
A257201 = (((-(1/6930))*(A000543+(-((-(1/(x-1)))+(-(22/(x-1)^2))+(-(288/(x-1)^3))+(-(1985/(x-1)^4))+(-(6968/(x-1)^5))+(-(13230/(x-1)^6))+(-(7560/(x-1)^8))+(-(1680/(x-1)^9))))))+(1/(x-1)^5)+(2/(x-1)^6)+(1/(x-1)^8))
A257890 = (((1/2310)*integrate((A000543+(-((-(1/(x-1)))+(-(22/(x-1)^2))+(-(288/(x-1)^3))+(-(1985/(x-1)^4))+(-(6968/(x-1)^5))+(-(13230/(x-1)^6))+(-(7560/(x-1)^8))+(-(1680/(x-1)^9)))))))+(1/(x-1)^2)+(1/(x-1)^4))
A257201 = (((1/97020)*differential((A000543+(-((-(1/(x-1)))+(-(22/(x-1)^2))+(-(288/(x-1)^3))+(-(1985/(x-1)^4))+(-(6968/(x-1)^5))+(-(13230/(x-1)^6))+(-(7560/(x-1)^8))+(-(1680/(x-1)^9)))))))+(1/(x-1)^5)+(2/(x-1)^6)+(2/(x-1)^7))
A257201 = (((-(1/7560))*(A000543+(-((-(1/(x-1)))+(-(22/(x-1)^2))+(-(288/(x-1)^3))+(-(1985/(x-1)^4))+(-(6968/(x-1)^5))+(-(13230/(x-1)^6))+(-(13860/(x-1)^7))+(-(1680/(x-1)^9))))))+(1/(x-1)^5)+(2/(x-1)^6)+(2/(x-1)^7))
A257201 = (((1/540)*integrate((A000543+(-((-(1/(x-1)))+(-(22/(x-1)^2))+(-(288/(x-1)^3))+(-(1985/(x-1)^4))+(-(6968/(x-1)^5))+(-(13230/(x-1)^6))+(-(13860/(x-1)^7))+(-(1680/(x-1)^9)))))))+(1/(x-1)^5)+(2/(x-1)^6)+(1/(x-1)^8))
A256181 = (((-(73603/60480))*differential((A000543+(-((-(1/(x-1)))+(-(22/(x-1)^2))+(-(288/(x-1)^3))+(-(1985/(x-1)^4))+(-(6968/(x-1)^5))+(-(13230/(x-1)^6))+(-(13860/(x-1)^7))+(-(1680/(x-1)^9)))))))+(-(1/(x-1)))+(-(3/(x-1)^3))+(-(102/(x-1)^4))+(-(1305/(x-1)^5))+(-(7812/(x-1)^6))+(-(26333/(x-1)^7))+(-(54854/(x-1)^8))+(-(63976/(x-1)^10))+(-(34905/(x-1)^11))+(-(10890/(x-1)^12))+(-(1485/(x-1)^13))+(-1))
A256181 = (((73603/1680)*(A000543+(-((-(1/(x-1)))+(-(22/(x-1)^2))+(-(288/(x-1)^3))+(-(1985/(x-1)^4))+(-(6968/(x-1)^5))+(-(13230/(x-1)^6))+(-(13860/(x-1)^7))+(-(7560/(x-1)^8))))))+(-(1/(x-1)))+(-(3/(x-1)^3))+(-(102/(x-1)^4))+(-(1305/(x-1)^5))+(-(7812/(x-1)^6))+(-(26333/(x-1)^7))+(-(54854/(x-1)^8))+(-(63976/(x-1)^10))+(-(34905/(x-1)^11))+(-(10890/(x-1)^12))+(-(1485/(x-1)^13))+(-1))
A257201 = (((1/210)*integrate((A000543+(-((-(1/(x-1)))+(-(22/(x-1)^2))+(-(288/(x-1)^3))+(-(1985/(x-1)^4))+(-(6968/(x-1)^5))+(-(13230/(x-1)^6))+(-(13860/(x-1)^7))+(-(7560/(x-1)^8)))))))+(1/(x-1)^5)+(2/(x-1)^6)+(2/(x-1)^7))
A256181 = (((-(7997/1890))*differential((A000543+(-((-(1/(x-1)))+(-(22/(x-1)^2))+(-(288/(x-1)^3))+(-(1985/(x-1)^4))+(-(6968/(x-1)^5))+(-(13230/(x-1)^6))+(-(13860/(x-1)^7))+(-(7560/(x-1)^8)))))))+(-(1/(x-1)))+(-(3/(x-1)^3))+(-(102/(x-1)^4))+(-(1305/(x-1)^5))+(-(7812/(x-1)^6))+(-(26333/(x-1)^7))+(-(54854/(x-1)^8))+(-(73603/(x-1)^9))+(-(34905/(x-1)^11))+(-(10890/(x-1)^12))+(-(1485/(x-1)^13))+(-1))
A257890 = (((1/4)*differential((A000561+(-((-(7/(x-1)^2))+(18/(x-1)^3)+(27/(x-1)^4))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257890 = (((-(1/7))*(A000561+(-((-(4/(x-1)))+(18/(x-1)^3)+(27/(x-1)^4)))))+(1/(x-1)^4)+(1/(x-1)^6))
A257464 = (((-(1/48))*differential((A000561+(-((-(4/(x-1)))+(18/(x-1)^3)+(27/(x-1)^4))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257464 = (((-(7/432))*(A000561+(-((-(4/(x-1)))+(-(7/(x-1)^2))+(27/(x-1)^4)))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257890 = (((-(1/9))*integrate((A000561+(-((-(4/(x-1)))+(-(7/(x-1)^2))+(27/(x-1)^4))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257890 = (((-(1/54))*differential((A000561+(-((-(4/(x-1)))+(-(7/(x-1)^2))+(27/(x-1)^4))))))+(1/(x-1)^2)+(1/(x-1)^6))
A257890 = (((1/27)*(A000561+(-((-(4/(x-1)))+(-(7/(x-1)^2))+(18/(x-1)^3)))))+(1/(x-1)^2)+(1/(x-1)^6))
A257464 = (((7/216)*integrate((A000561+(-((-(4/(x-1)))+(-(7/(x-1)^2))+(18/(x-1)^3))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257464 = (((1/216)*differential((A000561+(-((-(4/(x-1)))+(-(7/(x-1)^2))+(18/(x-1)^3))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(7/24/(x-1)^3))+(-(1/2/(x-1)^4)))
A257890 = (((1/287)*differential((A000562+(-((2*x^4)+(-(6*x^3))+(-(25*x^2))+(-(50*x))+(-(767/(x-1)^2))+(-(804/(x-1)^3))+(-(405/(x-1)^4))+(-(81/(x-1)^5)))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257890 = (((-(1/767))*(A000562+(-((2*x^4)+(-(6*x^3))+(-(25*x^2))+(-(50*x))+(-(287/(x-1)))+(-(804/(x-1)^3))+(-(405/(x-1)^4))+(-(81/(x-1)^5))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257464 = (((-(7/36816))*differential((A000562+(-((2*x^4)+(-(6*x^3))+(-(25*x^2))+(-(50*x))+(-(287/(x-1)))+(-(804/(x-1)^3))+(-(405/(x-1)^4))+(-(81/(x-1)^5)))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257464 = (((7/19296)*(A000562+(-((2*x^4)+(-(6*x^3))+(-(25*x^2))+(-(50*x))+(-(287/(x-1)))+(-(767/(x-1)^2))+(-(405/(x-1)^4))+(-(81/(x-1)^5))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257890 = (((1/402)*integrate((A000562+(-((2*x^4)+(-(6*x^3))+(-(25*x^2))+(-(50*x))+(-(287/(x-1)))+(-(767/(x-1)^2))+(-(405/(x-1)^4))+(-(81/(x-1)^5)))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257890 = (((1/2412)*differential((A000562+(-((2*x^4)+(-(6*x^3))+(-(25*x^2))+(-(50*x))+(-(287/(x-1)))+(-(767/(x-1)^2))+(-(405/(x-1)^4))+(-(81/(x-1)^5)))))))+(1/(x-1)^2)+(1/(x-1)^6))
A257890 = (((-(1/405))*(A000562+(-((2*x^4)+(-(6*x^3))+(-(25*x^2))+(-(50*x))+(-(287/(x-1)))+(-(767/(x-1)^2))+(-(804/(x-1)^3))+(-(81/(x-1)^5))))))+(1/(x-1)^2)+(1/(x-1)^6))
A257464 = (((-(7/3240))*integrate((A000562+(-((2*x^4)+(-(6*x^3))+(-(25*x^2))+(-(50*x))+(-(287/(x-1)))+(-(767/(x-1)^2))+(-(804/(x-1)^3))+(-(81/(x-1)^5)))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257464 = (((-(1/3240))*differential((A000562+(-((2*x^4)+(-(6*x^3))+(-(25*x^2))+(-(50*x))+(-(287/(x-1)))+(-(767/(x-1)^2))+(-(804/(x-1)^3))+(-(81/(x-1)^5)))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(7/24/(x-1)^3))+(-(1/2/(x-1)^4)))
A257464 = (((1/162)*(A000562+(-((2*x^4)+(-(6*x^3))+(-(25*x^2))+(-(50*x))+(-(287/(x-1)))+(-(767/(x-1)^2))+(-(804/(x-1)^3))+(-(405/(x-1)^4))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(7/24/(x-1)^3))+(-(1/2/(x-1)^4)))
A257890 = (((4/81)*integrate((A000562+(-((2*x^4)+(-(6*x^3))+(-(25*x^2))+(-(50*x))+(-(287/(x-1)))+(-(767/(x-1)^2))+(-(804/(x-1)^3))+(-(405/(x-1)^4)))))))+(1/(x-1)^2)+(1/(x-1)^6))
A257890 = (((1/405)*differential((A000562+(-((2*x^4)+(-(6*x^3))+(-(25*x^2))+(-(50*x))+(-(287/(x-1)))+(-(767/(x-1)^2))+(-(804/(x-1)^3))+(-(405/(x-1)^4)))))))+(1/(x-1)^2)+(1/(x-1)^4))
A257890 = (((-(1/1565))*differential((A000563+(-((-(8*x^4))+(-(42*x^3))+(-(142*x^2))+(-(254*x))+(4631/(x-1)^2)+(5874/(x-1)^3)+(4104/(x-1)^4)+(1539/(x-1)^5)+(243/(x-1)^6))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257890 = (((1/4631)*(A000563+(-((-(8*x^4))+(-(42*x^3))+(-(142*x^2))+(-(254*x))+(1565/(x-1))+(5874/(x-1)^3)+(4104/(x-1)^4)+(1539/(x-1)^5)+(243/(x-1)^6)))))+(1/(x-1)^4)+(1/(x-1)^6))
A257464 = (((7/222288)*differential((A000563+(-((-(8*x^4))+(-(42*x^3))+(-(142*x^2))+(-(254*x))+(1565/(x-1))+(5874/(x-1)^3)+(4104/(x-1)^4)+(1539/(x-1)^5)+(243/(x-1)^6))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257464 = (((-(7/140976))*(A000563+(-((-(8*x^4))+(-(42*x^3))+(-(142*x^2))+(-(254*x))+(1565/(x-1))+(4631/(x-1)^2)+(4104/(x-1)^4)+(1539/(x-1)^5)+(243/(x-1)^6)))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257890 = (((-(1/2937))*integrate((A000563+(-((-(8*x^4))+(-(42*x^3))+(-(142*x^2))+(-(254*x))+(1565/(x-1))+(4631/(x-1)^2)+(4104/(x-1)^4)+(1539/(x-1)^5)+(243/(x-1)^6))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257890 = (((-(1/17622))*differential((A000563+(-((-(8*x^4))+(-(42*x^3))+(-(142*x^2))+(-(254*x))+(1565/(x-1))+(4631/(x-1)^2)+(4104/(x-1)^4)+(1539/(x-1)^5)+(243/(x-1)^6))))))+(1/(x-1)^2)+(1/(x-1)^6))
A257890 = (((1/4104)*(A000563+(-((-(8*x^4))+(-(42*x^3))+(-(142*x^2))+(-(254*x))+(1565/(x-1))+(4631/(x-1)^2)+(5874/(x-1)^3)+(1539/(x-1)^5)+(243/(x-1)^6)))))+(1/(x-1)^2)+(1/(x-1)^6))
A257464 = (((7/32832)*integrate((A000563+(-((-(8*x^4))+(-(42*x^3))+(-(142*x^2))+(-(254*x))+(1565/(x-1))+(4631/(x-1)^2)+(5874/(x-1)^3)+(1539/(x-1)^5)+(243/(x-1)^6))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257464 = (((1/32832)*differential((A000563+(-((-(8*x^4))+(-(42*x^3))+(-(142*x^2))+(-(254*x))+(1565/(x-1))+(4631/(x-1)^2)+(5874/(x-1)^3)+(1539/(x-1)^5)+(243/(x-1)^6))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(7/24/(x-1)^3))+(-(1/2/(x-1)^4)))
A257464 = (((-(1/3078))*(A000563+(-((-(8*x^4))+(-(42*x^3))+(-(142*x^2))+(-(254*x))+(1565/(x-1))+(4631/(x-1)^2)+(5874/(x-1)^3)+(4104/(x-1)^4)+(243/(x-1)^6)))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(7/24/(x-1)^3))+(-(1/2/(x-1)^4)))
A257890 = (((-(4/1539))*integrate((A000563+(-((-(8*x^4))+(-(42*x^3))+(-(142*x^2))+(-(254*x))+(1565/(x-1))+(4631/(x-1)^2)+(5874/(x-1)^3)+(4104/(x-1)^4)+(243/(x-1)^6))))))+(1/(x-1)^2)+(1/(x-1)^6))
A257890 = (((-(1/7695))*differential((A000563+(-((-(8*x^4))+(-(42*x^3))+(-(142*x^2))+(-(254*x))+(1565/(x-1))+(4631/(x-1)^2)+(5874/(x-1)^3)+(4104/(x-1)^4)+(243/(x-1)^6))))))+(1/(x-1)^2)+(1/(x-1)^4))
A257890 = (((1/243)*(A000563+(-((-(8*x^4))+(-(42*x^3))+(-(142*x^2))+(-(254*x))+(1565/(x-1))+(4631/(x-1)^2)+(5874/(x-1)^3)+(4104/(x-1)^4)+(1539/(x-1)^5)))))+(1/(x-1)^2)+(1/(x-1)^4))
A257464 = (((5/486)*integrate((A000563+(-((-(8*x^4))+(-(42*x^3))+(-(142*x^2))+(-(254*x))+(1565/(x-1))+(4631/(x-1)^2)+(5874/(x-1)^3)+(4104/(x-1)^4)+(1539/(x-1)^5))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(7/24/(x-1)^3))+(-(1/2/(x-1)^4)))
A257201 = (((-(1/729))*differential((A000563+(-((-(8*x^4))+(-(42*x^3))+(-(142*x^2))+(-(254*x))+(1565/(x-1))+(4631/(x-1)^2)+(5874/(x-1)^3)+(4104/(x-1)^4)+(1539/(x-1)^5))))))+(1/(x-1)^5)+(2/(x-1)^6)+(1/(x-1)^8))
A257890 = (((1/8915)*differential((A000564+(-((2*x^6)+(-(10*x^5))+(-(64*x^4))+(-(279*x^3))+(-(817*x^2))+(-(1381*x))+(-(28329/(x-1)^2))+(-(40987/(x-1)^3))+(-(35397/(x-1)^4))+(-(18684/(x-1)^5))+(-(5589/(x-1)^6))+(-(729/(x-1)^7)))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257890 = (((-(1/28329))*(A000564+(-((2*x^6)+(-(10*x^5))+(-(64*x^4))+(-(279*x^3))+(-(817*x^2))+(-(1381*x))+(-(8915/(x-1)))+(-(40987/(x-1)^3))+(-(35397/(x-1)^4))+(-(18684/(x-1)^5))+(-(5589/(x-1)^6))+(-(729/(x-1)^7))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257464 = (((-(1/194256))*differential((A000564+(-((2*x^6)+(-(10*x^5))+(-(64*x^4))+(-(279*x^3))+(-(817*x^2))+(-(1381*x))+(-(8915/(x-1)))+(-(40987/(x-1)^3))+(-(35397/(x-1)^4))+(-(18684/(x-1)^5))+(-(5589/(x-1)^6))+(-(729/(x-1)^7)))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257464 = (((7/983688)*(A000564+(-((2*x^6)+(-(10*x^5))+(-(64*x^4))+(-(279*x^3))+(-(817*x^2))+(-(1381*x))+(-(8915/(x-1)))+(-(28329/(x-1)^2))+(-(35397/(x-1)^4))+(-(18684/(x-1)^5))+(-(5589/(x-1)^6))+(-(729/(x-1)^7))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257890 = (((2/40987)*integrate((A000564+(-((2*x^6)+(-(10*x^5))+(-(64*x^4))+(-(279*x^3))+(-(817*x^2))+(-(1381*x))+(-(8915/(x-1)))+(-(28329/(x-1)^2))+(-(35397/(x-1)^4))+(-(18684/(x-1)^5))+(-(5589/(x-1)^6))+(-(729/(x-1)^7)))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257890 = (((1/122961)*differential((A000564+(-((2*x^6)+(-(10*x^5))+(-(64*x^4))+(-(279*x^3))+(-(817*x^2))+(-(1381*x))+(-(8915/(x-1)))+(-(28329/(x-1)^2))+(-(35397/(x-1)^4))+(-(18684/(x-1)^5))+(-(5589/(x-1)^6))+(-(729/(x-1)^7)))))))+(1/(x-1)^2)+(1/(x-1)^6))
A257890 = (((-(1/35397))*(A000564+(-((2*x^6)+(-(10*x^5))+(-(64*x^4))+(-(279*x^3))+(-(817*x^2))+(-(1381*x))+(-(8915/(x-1)))+(-(28329/(x-1)^2))+(-(40987/(x-1)^3))+(-(18684/(x-1)^5))+(-(5589/(x-1)^6))+(-(729/(x-1)^7))))))+(1/(x-1)^2)+(1/(x-1)^6))
A257464 = (((-(7/283176))*integrate((A000564+(-((2*x^6)+(-(10*x^5))+(-(64*x^4))+(-(279*x^3))+(-(817*x^2))+(-(1381*x))+(-(8915/(x-1)))+(-(28329/(x-1)^2))+(-(40987/(x-1)^3))+(-(18684/(x-1)^5))+(-(5589/(x-1)^6))+(-(729/(x-1)^7)))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257464 = (((-(1/283176))*differential((A000564+(-((2*x^6)+(-(10*x^5))+(-(64*x^4))+(-(279*x^3))+(-(817*x^2))+(-(1381*x))+(-(8915/(x-1)))+(-(28329/(x-1)^2))+(-(40987/(x-1)^3))+(-(18684/(x-1)^5))+(-(5589/(x-1)^6))+(-(729/(x-1)^7)))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(7/24/(x-1)^3))+(-(1/2/(x-1)^4)))
A257464 = (((1/37368)*(A000564+(-((2*x^6)+(-(10*x^5))+(-(64*x^4))+(-(279*x^3))+(-(817*x^2))+(-(1381*x))+(-(8915/(x-1)))+(-(28329/(x-1)^2))+(-(40987/(x-1)^3))+(-(35397/(x-1)^4))+(-(5589/(x-1)^6))+(-(729/(x-1)^7))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(7/24/(x-1)^3))+(-(1/2/(x-1)^4)))
A257890 = (((1/4671)*integrate((A000564+(-((2*x^6)+(-(10*x^5))+(-(64*x^4))+(-(279*x^3))+(-(817*x^2))+(-(1381*x))+(-(8915/(x-1)))+(-(28329/(x-1)^2))+(-(40987/(x-1)^3))+(-(35397/(x-1)^4))+(-(5589/(x-1)^6))+(-(729/(x-1)^7)))))))+(1/(x-1)^2)+(1/(x-1)^6))
A257890 = (((1/93420)*differential((A000564+(-((2*x^6)+(-(10*x^5))+(-(64*x^4))+(-(279*x^3))+(-(817*x^2))+(-(1381*x))+(-(8915/(x-1)))+(-(28329/(x-1)^2))+(-(40987/(x-1)^3))+(-(35397/(x-1)^4))+(-(5589/(x-1)^6))+(-(729/(x-1)^7)))))))+(1/(x-1)^2)+(1/(x-1)^4))
A257890 = (((-(1/5589))*(A000564+(-((2*x^6)+(-(10*x^5))+(-(64*x^4))+(-(279*x^3))+(-(817*x^2))+(-(1381*x))+(-(8915/(x-1)))+(-(28329/(x-1)^2))+(-(40987/(x-1)^3))+(-(35397/(x-1)^4))+(-(18684/(x-1)^5))+(-(729/(x-1)^7))))))+(1/(x-1)^2)+(1/(x-1)^4))
A257464 = (((-(5/11178))*integrate((A000564+(-((2*x^6)+(-(10*x^5))+(-(64*x^4))+(-(279*x^3))+(-(817*x^2))+(-(1381*x))+(-(8915/(x-1)))+(-(28329/(x-1)^2))+(-(40987/(x-1)^3))+(-(35397/(x-1)^4))+(-(18684/(x-1)^5))+(-(729/(x-1)^7)))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(7/24/(x-1)^3))+(-(1/2/(x-1)^4)))
A257201 = (((1/16767)*differential((A000564+(-((2*x^6)+(-(10*x^5))+(-(64*x^4))+(-(279*x^3))+(-(817*x^2))+(-(1381*x))+(-(8915/(x-1)))+(-(28329/(x-1)^2))+(-(40987/(x-1)^3))+(-(35397/(x-1)^4))+(-(18684/(x-1)^5))+(-(729/(x-1)^7)))))))+(1/(x-1)^5)+(2/(x-1)^6)+(1/(x-1)^8))
A257201 = (((-(2/729))*(A000564+(-((2*x^6)+(-(10*x^5))+(-(64*x^4))+(-(279*x^3))+(-(817*x^2))+(-(1381*x))+(-(8915/(x-1)))+(-(28329/(x-1)^2))+(-(40987/(x-1)^3))+(-(35397/(x-1)^4))+(-(18684/(x-1)^5))+(-(5589/(x-1)^6))))))+(1/(x-1)^5)+(2/(x-1)^6)+(1/(x-1)^8))
A257890 = (((2/243)*integrate((A000564+(-((2*x^6)+(-(10*x^5))+(-(64*x^4))+(-(279*x^3))+(-(817*x^2))+(-(1381*x))+(-(8915/(x-1)))+(-(28329/(x-1)^2))+(-(40987/(x-1)^3))+(-(35397/(x-1)^4))+(-(18684/(x-1)^5))+(-(5589/(x-1)^6)))))))+(1/(x-1)^2)+(1/(x-1)^4))
A257201 = (((1/5103)*differential((A000564+(-((2*x^6)+(-(10*x^5))+(-(64*x^4))+(-(279*x^3))+(-(817*x^2))+(-(1381*x))+(-(8915/(x-1)))+(-(28329/(x-1)^2))+(-(40987/(x-1)^3))+(-(35397/(x-1)^4))+(-(18684/(x-1)^5))+(-(5589/(x-1)^6)))))))+(1/(x-1)^5)+(2/(x-1)^6)+(2/(x-1)^7))
A257890 = (((-(1/52449))*differential((A000565+(-((-(12*x^6))+(-(90*x^5))+(-(472*x^4))+(-(1797*x^3))+(-(4812*x^2))+(-(7861*x))+(175643/(x-1)^2)+(279857/(x-1)^3)+(280971/(x-1)^4)+(185868/(x-1)^5)+(79056/(x-1)^6)+(19683/(x-1)^7)+(2187/(x-1)^8))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257890 = (((1/175643)*(A000565+(-((-(12*x^6))+(-(90*x^5))+(-(472*x^4))+(-(1797*x^3))+(-(4812*x^2))+(-(7861*x))+(52449/(x-1))+(279857/(x-1)^3)+(280971/(x-1)^4)+(185868/(x-1)^5)+(79056/(x-1)^6)+(19683/(x-1)^7)+(2187/(x-1)^8)))))+(1/(x-1)^4)+(1/(x-1)^6))
A257464 = (((7/8430864)*differential((A000565+(-((-(12*x^6))+(-(90*x^5))+(-(472*x^4))+(-(1797*x^3))+(-(4812*x^2))+(-(7861*x))+(52449/(x-1))+(279857/(x-1)^3)+(280971/(x-1)^4)+(185868/(x-1)^5)+(79056/(x-1)^6)+(19683/(x-1)^7)+(2187/(x-1)^8))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257464 = (((-(7/6716568))*(A000565+(-((-(12*x^6))+(-(90*x^5))+(-(472*x^4))+(-(1797*x^3))+(-(4812*x^2))+(-(7861*x))+(52449/(x-1))+(175643/(x-1)^2)+(280971/(x-1)^4)+(185868/(x-1)^5)+(79056/(x-1)^6)+(19683/(x-1)^7)+(2187/(x-1)^8)))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257890 = (((-(2/279857))*integrate((A000565+(-((-(12*x^6))+(-(90*x^5))+(-(472*x^4))+(-(1797*x^3))+(-(4812*x^2))+(-(7861*x))+(52449/(x-1))+(175643/(x-1)^2)+(280971/(x-1)^4)+(185868/(x-1)^5)+(79056/(x-1)^6)+(19683/(x-1)^7)+(2187/(x-1)^8))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257890 = (((-(1/839571))*differential((A000565+(-((-(12*x^6))+(-(90*x^5))+(-(472*x^4))+(-(1797*x^3))+(-(4812*x^2))+(-(7861*x))+(52449/(x-1))+(175643/(x-1)^2)+(280971/(x-1)^4)+(185868/(x-1)^5)+(79056/(x-1)^6)+(19683/(x-1)^7)+(2187/(x-1)^8))))))+(1/(x-1)^2)+(1/(x-1)^6))
A257890 = (((1/280971)*(A000565+(-((-(12*x^6))+(-(90*x^5))+(-(472*x^4))+(-(1797*x^3))+(-(4812*x^2))+(-(7861*x))+(52449/(x-1))+(175643/(x-1)^2)+(279857/(x-1)^3)+(185868/(x-1)^5)+(79056/(x-1)^6)+(19683/(x-1)^7)+(2187/(x-1)^8)))))+(1/(x-1)^2)+(1/(x-1)^6))
A257464 = (((7/2247768)*integrate((A000565+(-((-(12*x^6))+(-(90*x^5))+(-(472*x^4))+(-(1797*x^3))+(-(4812*x^2))+(-(7861*x))+(52449/(x-1))+(175643/(x-1)^2)+(279857/(x-1)^3)+(185868/(x-1)^5)+(79056/(x-1)^6)+(19683/(x-1)^7)+(2187/(x-1)^8))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257464 = (((1/2247768)*differential((A000565+(-((-(12*x^6))+(-(90*x^5))+(-(472*x^4))+(-(1797*x^3))+(-(4812*x^2))+(-(7861*x))+(52449/(x-1))+(175643/(x-1)^2)+(279857/(x-1)^3)+(185868/(x-1)^5)+(79056/(x-1)^6)+(19683/(x-1)^7)+(2187/(x-1)^8))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(7/24/(x-1)^3))+(-(1/2/(x-1)^4)))
A257464 = (((-(1/371736))*(A000565+(-((-(12*x^6))+(-(90*x^5))+(-(472*x^4))+(-(1797*x^3))+(-(4812*x^2))+(-(7861*x))+(52449/(x-1))+(175643/(x-1)^2)+(279857/(x-1)^3)+(280971/(x-1)^4)+(79056/(x-1)^6)+(19683/(x-1)^7)+(2187/(x-1)^8)))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(7/24/(x-1)^3))+(-(1/2/(x-1)^4)))
A257890 = (((-(1/46467))*integrate((A000565+(-((-(12*x^6))+(-(90*x^5))+(-(472*x^4))+(-(1797*x^3))+(-(4812*x^2))+(-(7861*x))+(52449/(x-1))+(175643/(x-1)^2)+(279857/(x-1)^3)+(280971/(x-1)^4)+(79056/(x-1)^6)+(19683/(x-1)^7)+(2187/(x-1)^8))))))+(1/(x-1)^2)+(1/(x-1)^6))
A257890 = (((-(1/929340))*differential((A000565+(-((-(12*x^6))+(-(90*x^5))+(-(472*x^4))+(-(1797*x^3))+(-(4812*x^2))+(-(7861*x))+(52449/(x-1))+(175643/(x-1)^2)+(279857/(x-1)^3)+(280971/(x-1)^4)+(79056/(x-1)^6)+(19683/(x-1)^7)+(2187/(x-1)^8))))))+(1/(x-1)^2)+(1/(x-1)^4))
A257890 = (((1/79056)*(A000565+(-((-(12*x^6))+(-(90*x^5))+(-(472*x^4))+(-(1797*x^3))+(-(4812*x^2))+(-(7861*x))+(52449/(x-1))+(175643/(x-1)^2)+(279857/(x-1)^3)+(280971/(x-1)^4)+(185868/(x-1)^5)+(19683/(x-1)^7)+(2187/(x-1)^8)))))+(1/(x-1)^2)+(1/(x-1)^4))
A257464 = (((5/158112)*integrate((A000565+(-((-(12*x^6))+(-(90*x^5))+(-(472*x^4))+(-(1797*x^3))+(-(4812*x^2))+(-(7861*x))+(52449/(x-1))+(175643/(x-1)^2)+(279857/(x-1)^3)+(280971/(x-1)^4)+(185868/(x-1)^5)+(19683/(x-1)^7)+(2187/(x-1)^8))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(7/24/(x-1)^3))+(-(1/2/(x-1)^4)))
A257201 = (((-(1/237168))*differential((A000565+(-((-(12*x^6))+(-(90*x^5))+(-(472*x^4))+(-(1797*x^3))+(-(4812*x^2))+(-(7861*x))+(52449/(x-1))+(175643/(x-1)^2)+(279857/(x-1)^3)+(280971/(x-1)^4)+(185868/(x-1)^5)+(19683/(x-1)^7)+(2187/(x-1)^8))))))+(1/(x-1)^5)+(2/(x-1)^6)+(1/(x-1)^8))
A257201 = (((2/19683)*(A000565+(-((-(12*x^6))+(-(90*x^5))+(-(472*x^4))+(-(1797*x^3))+(-(4812*x^2))+(-(7861*x))+(52449/(x-1))+(175643/(x-1)^2)+(279857/(x-1)^3)+(280971/(x-1)^4)+(185868/(x-1)^5)+(79056/(x-1)^6)+(2187/(x-1)^8)))))+(1/(x-1)^5)+(2/(x-1)^6)+(1/(x-1)^8))
A257890 = (((-(2/6561))*integrate((A000565+(-((-(12*x^6))+(-(90*x^5))+(-(472*x^4))+(-(1797*x^3))+(-(4812*x^2))+(-(7861*x))+(52449/(x-1))+(175643/(x-1)^2)+(279857/(x-1)^3)+(280971/(x-1)^4)+(185868/(x-1)^5)+(79056/(x-1)^6)+(2187/(x-1)^8))))))+(1/(x-1)^2)+(1/(x-1)^4))
A257201 = (((-(1/137781))*differential((A000565+(-((-(12*x^6))+(-(90*x^5))+(-(472*x^4))+(-(1797*x^3))+(-(4812*x^2))+(-(7861*x))+(52449/(x-1))+(175643/(x-1)^2)+(279857/(x-1)^3)+(280971/(x-1)^4)+(185868/(x-1)^5)+(79056/(x-1)^6)+(2187/(x-1)^8))))))+(1/(x-1)^5)+(2/(x-1)^6)+(2/(x-1)^7))
A257201 = (((1/2187)*(A000565+(-((-(12*x^6))+(-(90*x^5))+(-(472*x^4))+(-(1797*x^3))+(-(4812*x^2))+(-(7861*x))+(52449/(x-1))+(175643/(x-1)^2)+(279857/(x-1)^3)+(280971/(x-1)^4)+(185868/(x-1)^5)+(79056/(x-1)^6)+(19683/(x-1)^7)))))+(1/(x-1)^5)+(2/(x-1)^6)+(2/(x-1)^7))
A257201 = (((-(14/2187))*integrate((A000565+(-((-(12*x^6))+(-(90*x^5))+(-(472*x^4))+(-(1797*x^3))+(-(4812*x^2))+(-(7861*x))+(52449/(x-1))+(175643/(x-1)^2)+(279857/(x-1)^3)+(280971/(x-1)^4)+(185868/(x-1)^5)+(79056/(x-1)^6)+(19683/(x-1)^7))))))+(1/(x-1)^5)+(2/(x-1)^6)+(1/(x-1)^8))
A256181 = (((73603/17496)*differential((A000565+(-((-(12*x^6))+(-(90*x^5))+(-(472*x^4))+(-(1797*x^3))+(-(4812*x^2))+(-(7861*x))+(52449/(x-1))+(175643/(x-1)^2)+(279857/(x-1)^3)+(280971/(x-1)^4)+(185868/(x-1)^5)+(79056/(x-1)^6)+(19683/(x-1)^7))))))+(-(1/(x-1)))+(-(3/(x-1)^3))+(-(102/(x-1)^4))+(-(1305/(x-1)^5))+(-(7812/(x-1)^6))+(-(26333/(x-1)^7))+(-(54854/(x-1)^8))+(-(63976/(x-1)^10))+(-(34905/(x-1)^11))+(-(10890/(x-1)^12))+(-(1485/(x-1)^13))+(-1))
A257890 = (((1/4)*differential((A000566+(-((-(9/(x-1)^2))+(-(5/(x-1)^3)))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257890 = (((-(1/9))*(A000566+(-((-(4/(x-1)))+(-(5/(x-1)^3))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257464 = (((-(7/432))*differential((A000566+(-((-(4/(x-1)))+(-(5/(x-1)^3)))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257464 = (((7/120)*(A000566+(-((-(4/(x-1)))+(-(9/(x-1)^2))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257890 = (((2/5)*integrate((A000566+(-((-(4/(x-1)))+(-(9/(x-1)^2)))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257890 = (((1/15)*differential((A000566+(-((-(4/(x-1)))+(-(9/(x-1)^2)))))))+(1/(x-1)^2)+(1/(x-1)^6))
A257890 = (((1/5)*differential((A000567+(-((-(11/(x-1)^2))+(-(6/(x-1)^3)))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257890 = (((-(1/11))*(A000567+(-((-(5/(x-1)))+(-(6/(x-1)^3))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257464 = (((-(7/528))*differential((A000567+(-((-(5/(x-1)))+(-(6/(x-1)^3)))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257464 = (((7/144)*(A000567+(-((-(5/(x-1)))+(-(11/(x-1)^2))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257890 = (((1/3)*integrate((A000567+(-((-(5/(x-1)))+(-(11/(x-1)^2)))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257890 = (((1/18)*differential((A000567+(-((-(5/(x-1)))+(-(11/(x-1)^2)))))))+(1/(x-1)^2)+(1/(x-1)^6))
A257201 = (((-(1/2))*(A000575+(-((-(3/(x-1)^8))+(-(2/(x-1)^9))+(1/(x-1)^10)))))+(1/(x-1)^5)+(2/(x-1)^6)+(1/(x-1)^8))
A257890 = (((3/2)*integrate((A000575+(-((-(3/(x-1)^8))+(-(2/(x-1)^9))+(1/(x-1)^10))))))+(1/(x-1)^2)+(1/(x-1)^4))
A257201 = (((1/28)*differential((A000575+(-((-(3/(x-1)^8))+(-(2/(x-1)^9))+(1/(x-1)^10))))))+(1/(x-1)^5)+(2/(x-1)^6)+(2/(x-1)^7))
A257201 = (((-(1/3))*(A000575+(-((-(4/(x-1)^7))+(-(2/(x-1)^9))+(1/(x-1)^10)))))+(1/(x-1)^5)+(2/(x-1)^6)+(2/(x-1)^7))
A257201 = (((14/3)*integrate((A000575+(-((-(4/(x-1)^7))+(-(2/(x-1)^9))+(1/(x-1)^10))))))+(1/(x-1)^5)+(2/(x-1)^6)+(1/(x-1)^8))
A256181 = (((-(73603/24))*differential((A000575+(-((-(4/(x-1)^7))+(-(2/(x-1)^9))+(1/(x-1)^10))))))+(-(1/(x-1)))+(-(3/(x-1)^3))+(-(102/(x-1)^4))+(-(1305/(x-1)^5))+(-(7812/(x-1)^6))+(-(26333/(x-1)^7))+(-(54854/(x-1)^8))+(-(63976/(x-1)^10))+(-(34905/(x-1)^11))+(-(10890/(x-1)^12))+(-(1485/(x-1)^13))+(-1))
A256181 = (((73603/2)*(A000575+(-((-(4/(x-1)^7))+(-(3/(x-1)^8))+(1/(x-1)^10)))))+(-(1/(x-1)))+(-(3/(x-1)^3))+(-(102/(x-1)^4))+(-(1305/(x-1)^5))+(-(7812/(x-1)^6))+(-(26333/(x-1)^7))+(-(54854/(x-1)^8))+(-(63976/(x-1)^10))+(-(34905/(x-1)^11))+(-(10890/(x-1)^12))+(-(1485/(x-1)^13))+(-1))
A257201 = ((4*integrate((A000575+(-((-(4/(x-1)^7))+(-(3/(x-1)^8))+(1/(x-1)^10))))))+(1/(x-1)^5)+(2/(x-1)^6)+(2/(x-1)^7))
A256181 = (((-(31988/9))*differential((A000575+(-((-(4/(x-1)^7))+(-(3/(x-1)^8))+(1/(x-1)^10))))))+(-(1/(x-1)))+(-(3/(x-1)^3))+(-(102/(x-1)^4))+(-(1305/(x-1)^5))+(-(7812/(x-1)^6))+(-(26333/(x-1)^7))+(-(54854/(x-1)^8))+(-(73603/(x-1)^9))+(-(34905/(x-1)^11))+(-(10890/(x-1)^12))+(-(1485/(x-1)^13))+(-1))
A256181 = (((-63976)*(A000575+(-((-(4/(x-1)^7))+(-(3/(x-1)^8))+(-(2/(x-1)^9))))))+(-(1/(x-1)))+(-(3/(x-1)^3))+(-(102/(x-1)^4))+(-(1305/(x-1)^5))+(-(7812/(x-1)^6))+(-(26333/(x-1)^7))+(-(54854/(x-1)^8))+(-(73603/(x-1)^9))+(-(34905/(x-1)^11))+(-(10890/(x-1)^12))+(-(1485/(x-1)^13))+(-1))
A256181 = ((662427*integrate((A000575+(-((-(4/(x-1)^7))+(-(3/(x-1)^8))+(-(2/(x-1)^9)))))))+(-(1/(x-1)))+(-(3/(x-1)^3))+(-(102/(x-1)^4))+(-(1305/(x-1)^5))+(-(7812/(x-1)^6))+(-(26333/(x-1)^7))+(-(54854/(x-1)^8))+(-(63976/(x-1)^10))+(-(34905/(x-1)^11))+(-(10890/(x-1)^12))+(-(1485/(x-1)^13))+(-1))
A256181 = (((6981/2)*differential((A000575+(-((-(4/(x-1)^7))+(-(3/(x-1)^8))+(-(2/(x-1)^9)))))))+(-(1/(x-1)))+(-(3/(x-1)^3))+(-(102/(x-1)^4))+(-(1305/(x-1)^5))+(-(7812/(x-1)^6))+(-(26333/(x-1)^7))+(-(54854/(x-1)^8))+(-(73603/(x-1)^9))+(-(63976/(x-1)^10))+(-(10890/(x-1)^12))+(-(1485/(x-1)^13))+(-1))
A257890 = (((-1)*differential((A000578+(-((7/(x-1)^2)+(12/(x-1)^3)+(6/(x-1)^4))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257890 = (((1/7)*(A000578+(-((1/(x-1))+(12/(x-1)^3)+(6/(x-1)^4)))))+(1/(x-1)^4)+(1/(x-1)^6))
A257464 = (((1/48)*differential((A000578+(-((1/(x-1))+(12/(x-1)^3)+(6/(x-1)^4))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257464 = (((-(7/288))*(A000578+(-((1/(x-1))+(7/(x-1)^2)+(6/(x-1)^4)))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257890 = (((-(1/6))*integrate((A000578+(-((1/(x-1))+(7/(x-1)^2)+(6/(x-1)^4))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257890 = (((-(1/36))*differential((A000578+(-((1/(x-1))+(7/(x-1)^2)+(6/(x-1)^4))))))+(1/(x-1)^2)+(1/(x-1)^6))
A257890 = (((1/6)*(A000578+(-((1/(x-1))+(7/(x-1)^2)+(12/(x-1)^3)))))+(1/(x-1)^2)+(1/(x-1)^6))
A257464 = (((7/48)*integrate((A000578+(-((1/(x-1))+(7/(x-1)^2)+(12/(x-1)^3))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257464 = (((1/48)*differential((A000578+(-((1/(x-1))+(7/(x-1)^2)+(12/(x-1)^3))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(7/24/(x-1)^3))+(-(1/2/(x-1)^4)))
A257890 = ((1*differential((A000579+(-((-(6/(x-1)^2))+(-(15/(x-1)^3))+(-(20/(x-1)^4))+(-(15/(x-1)^5))+(-(6/(x-1)^6))+(-(1/(x-1)^7)))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257890 = (((-(1/6))*(A000579+(-((-(1/(x-1)))+(-(15/(x-1)^3))+(-(20/(x-1)^4))+(-(15/(x-1)^5))+(-(6/(x-1)^6))+(-(1/(x-1)^7))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257464 = (((-(7/288))*differential((A000579+(-((-(1/(x-1)))+(-(15/(x-1)^3))+(-(20/(x-1)^4))+(-(15/(x-1)^5))+(-(6/(x-1)^6))+(-(1/(x-1)^7)))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257464 = (((7/360)*(A000579+(-((-(1/(x-1)))+(-(6/(x-1)^2))+(-(20/(x-1)^4))+(-(15/(x-1)^5))+(-(6/(x-1)^6))+(-(1/(x-1)^7))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257890 = (((2/15)*integrate((A000579+(-((-(1/(x-1)))+(-(6/(x-1)^2))+(-(20/(x-1)^4))+(-(15/(x-1)^5))+(-(6/(x-1)^6))+(-(1/(x-1)^7)))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257890 = (((1/45)*differential((A000579+(-((-(1/(x-1)))+(-(6/(x-1)^2))+(-(20/(x-1)^4))+(-(15/(x-1)^5))+(-(6/(x-1)^6))+(-(1/(x-1)^7)))))))+(1/(x-1)^2)+(1/(x-1)^6))
A257890 = (((-(1/20))*(A000579+(-((-(1/(x-1)))+(-(6/(x-1)^2))+(-(15/(x-1)^3))+(-(15/(x-1)^5))+(-(6/(x-1)^6))+(-(1/(x-1)^7))))))+(1/(x-1)^2)+(1/(x-1)^6))
A257464 = (((-(7/160))*integrate((A000579+(-((-(1/(x-1)))+(-(6/(x-1)^2))+(-(15/(x-1)^3))+(-(15/(x-1)^5))+(-(6/(x-1)^6))+(-(1/(x-1)^7)))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257464 = (((-(1/160))*differential((A000579+(-((-(1/(x-1)))+(-(6/(x-1)^2))+(-(15/(x-1)^3))+(-(15/(x-1)^5))+(-(6/(x-1)^6))+(-(1/(x-1)^7)))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(7/24/(x-1)^3))+(-(1/2/(x-1)^4)))
A257464 = (((1/30)*(A000579+(-((-(1/(x-1)))+(-(6/(x-1)^2))+(-(15/(x-1)^3))+(-(20/(x-1)^4))+(-(6/(x-1)^6))+(-(1/(x-1)^7))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(7/24/(x-1)^3))+(-(1/2/(x-1)^4)))
A257890 = (((4/15)*integrate((A000579+(-((-(1/(x-1)))+(-(6/(x-1)^2))+(-(15/(x-1)^3))+(-(20/(x-1)^4))+(-(6/(x-1)^6))+(-(1/(x-1)^7)))))))+(1/(x-1)^2)+(1/(x-1)^6))
A257890 = (((1/75)*differential((A000579+(-((-(1/(x-1)))+(-(6/(x-1)^2))+(-(15/(x-1)^3))+(-(20/(x-1)^4))+(-(6/(x-1)^6))+(-(1/(x-1)^7)))))))+(1/(x-1)^2)+(1/(x-1)^4))
A257890 = (((-(1/6))*(A000579+(-((-(1/(x-1)))+(-(6/(x-1)^2))+(-(15/(x-1)^3))+(-(20/(x-1)^4))+(-(15/(x-1)^5))+(-(1/(x-1)^7))))))+(1/(x-1)^2)+(1/(x-1)^4))
A257464 = (((-(5/12))*integrate((A000579+(-((-(1/(x-1)))+(-(6/(x-1)^2))+(-(15/(x-1)^3))+(-(20/(x-1)^4))+(-(15/(x-1)^5))+(-(1/(x-1)^7)))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(7/24/(x-1)^3))+(-(1/2/(x-1)^4)))
A257201 = (((1/18)*differential((A000579+(-((-(1/(x-1)))+(-(6/(x-1)^2))+(-(15/(x-1)^3))+(-(20/(x-1)^4))+(-(15/(x-1)^5))+(-(1/(x-1)^7)))))))+(1/(x-1)^5)+(2/(x-1)^6)+(1/(x-1)^8))
A257201 = (((-2)*(A000579+(-((-(1/(x-1)))+(-(6/(x-1)^2))+(-(15/(x-1)^3))+(-(20/(x-1)^4))+(-(15/(x-1)^5))+(-(6/(x-1)^6))))))+(1/(x-1)^5)+(2/(x-1)^6)+(1/(x-1)^8))
A257890 = ((6*integrate((A000579+(-((-(1/(x-1)))+(-(6/(x-1)^2))+(-(15/(x-1)^3))+(-(20/(x-1)^4))+(-(15/(x-1)^5))+(-(6/(x-1)^6)))))))+(1/(x-1)^2)+(1/(x-1)^4))
A257201 = (((1/7)*differential((A000579+(-((-(1/(x-1)))+(-(6/(x-1)^2))+(-(15/(x-1)^3))+(-(20/(x-1)^4))+(-(15/(x-1)^5))+(-(6/(x-1)^6)))))))+(1/(x-1)^5)+(2/(x-1)^6)+(2/(x-1)^7))
A257890 = (((-1)*differential((A000580+(-((7/(x-1)^2)+(21/(x-1)^3)+(35/(x-1)^4)+(35/(x-1)^5)+(21/(x-1)^6)+(7/(x-1)^7)+(1/(x-1)^8))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257890 = (((1/7)*(A000580+(-((1/(x-1))+(21/(x-1)^3)+(35/(x-1)^4)+(35/(x-1)^5)+(21/(x-1)^6)+(7/(x-1)^7)+(1/(x-1)^8)))))+(1/(x-1)^4)+(1/(x-1)^6))
A257464 = (((1/48)*differential((A000580+(-((1/(x-1))+(21/(x-1)^3)+(35/(x-1)^4)+(35/(x-1)^5)+(21/(x-1)^6)+(7/(x-1)^7)+(1/(x-1)^8))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257464 = (((-(1/72))*(A000580+(-((1/(x-1))+(7/(x-1)^2)+(35/(x-1)^4)+(35/(x-1)^5)+(21/(x-1)^6)+(7/(x-1)^7)+(1/(x-1)^8)))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257890 = (((-(2/21))*integrate((A000580+(-((1/(x-1))+(7/(x-1)^2)+(35/(x-1)^4)+(35/(x-1)^5)+(21/(x-1)^6)+(7/(x-1)^7)+(1/(x-1)^8))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257890 = (((-(1/63))*differential((A000580+(-((1/(x-1))+(7/(x-1)^2)+(35/(x-1)^4)+(35/(x-1)^5)+(21/(x-1)^6)+(7/(x-1)^7)+(1/(x-1)^8))))))+(1/(x-1)^2)+(1/(x-1)^6))
A257890 = (((1/35)*(A000580+(-((1/(x-1))+(7/(x-1)^2)+(21/(x-1)^3)+(35/(x-1)^5)+(21/(x-1)^6)+(7/(x-1)^7)+(1/(x-1)^8)))))+(1/(x-1)^2)+(1/(x-1)^6))
A257464 = (((1/40)*integrate((A000580+(-((1/(x-1))+(7/(x-1)^2)+(21/(x-1)^3)+(35/(x-1)^5)+(21/(x-1)^6)+(7/(x-1)^7)+(1/(x-1)^8))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257464 = (((1/280)*differential((A000580+(-((1/(x-1))+(7/(x-1)^2)+(21/(x-1)^3)+(35/(x-1)^5)+(21/(x-1)^6)+(7/(x-1)^7)+(1/(x-1)^8))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(7/24/(x-1)^3))+(-(1/2/(x-1)^4)))
A257464 = (((-(1/70))*(A000580+(-((1/(x-1))+(7/(x-1)^2)+(21/(x-1)^3)+(35/(x-1)^4)+(21/(x-1)^6)+(7/(x-1)^7)+(1/(x-1)^8)))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(7/24/(x-1)^3))+(-(1/2/(x-1)^4)))
A257890 = (((-(4/35))*integrate((A000580+(-((1/(x-1))+(7/(x-1)^2)+(21/(x-1)^3)+(35/(x-1)^4)+(21/(x-1)^6)+(7/(x-1)^7)+(1/(x-1)^8))))))+(1/(x-1)^2)+(1/(x-1)^6))
A257890 = (((-(1/175))*differential((A000580+(-((1/(x-1))+(7/(x-1)^2)+(21/(x-1)^3)+(35/(x-1)^4)+(21/(x-1)^6)+(7/(x-1)^7)+(1/(x-1)^8))))))+(1/(x-1)^2)+(1/(x-1)^4))
A257890 = (((1/21)*(A000580+(-((1/(x-1))+(7/(x-1)^2)+(21/(x-1)^3)+(35/(x-1)^4)+(35/(x-1)^5)+(7/(x-1)^7)+(1/(x-1)^8)))))+(1/(x-1)^2)+(1/(x-1)^4))
A257464 = (((5/42)*integrate((A000580+(-((1/(x-1))+(7/(x-1)^2)+(21/(x-1)^3)+(35/(x-1)^4)+(35/(x-1)^5)+(7/(x-1)^7)+(1/(x-1)^8))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(7/24/(x-1)^3))+(-(1/2/(x-1)^4)))
A257201 = (((-(1/63))*differential((A000580+(-((1/(x-1))+(7/(x-1)^2)+(21/(x-1)^3)+(35/(x-1)^4)+(35/(x-1)^5)+(7/(x-1)^7)+(1/(x-1)^8))))))+(1/(x-1)^5)+(2/(x-1)^6)+(1/(x-1)^8))
A257201 = (((2/7)*(A000580+(-((1/(x-1))+(7/(x-1)^2)+(21/(x-1)^3)+(35/(x-1)^4)+(35/(x-1)^5)+(21/(x-1)^6)+(1/(x-1)^8)))))+(1/(x-1)^5)+(2/(x-1)^6)+(1/(x-1)^8))
A257890 = (((-(6/7))*integrate((A000580+(-((1/(x-1))+(7/(x-1)^2)+(21/(x-1)^3)+(35/(x-1)^4)+(35/(x-1)^5)+(21/(x-1)^6)+(1/(x-1)^8))))))+(1/(x-1)^2)+(1/(x-1)^4))
A257201 = (((-(1/49))*differential((A000580+(-((1/(x-1))+(7/(x-1)^2)+(21/(x-1)^3)+(35/(x-1)^4)+(35/(x-1)^5)+(21/(x-1)^6)+(1/(x-1)^8))))))+(1/(x-1)^5)+(2/(x-1)^6)+(2/(x-1)^7))
A257201 = ((1*(A000580+(-((1/(x-1))+(7/(x-1)^2)+(21/(x-1)^3)+(35/(x-1)^4)+(35/(x-1)^5)+(21/(x-1)^6)+(7/(x-1)^7)))))+(1/(x-1)^5)+(2/(x-1)^6)+(2/(x-1)^7))
A257201 = (((-14)*integrate((A000580+(-((1/(x-1))+(7/(x-1)^2)+(21/(x-1)^3)+(35/(x-1)^4)+(35/(x-1)^5)+(21/(x-1)^6)+(7/(x-1)^7))))))+(1/(x-1)^5)+(2/(x-1)^6)+(1/(x-1)^8))
A256181 = (((73603/8)*differential((A000580+(-((1/(x-1))+(7/(x-1)^2)+(21/(x-1)^3)+(35/(x-1)^4)+(35/(x-1)^5)+(21/(x-1)^6)+(7/(x-1)^7))))))+(-(1/(x-1)))+(-(3/(x-1)^3))+(-(102/(x-1)^4))+(-(1305/(x-1)^5))+(-(7812/(x-1)^6))+(-(26333/(x-1)^7))+(-(54854/(x-1)^8))+(-(63976/(x-1)^10))+(-(34905/(x-1)^11))+(-(10890/(x-1)^12))+(-(1485/(x-1)^13))+(-1))
A257890 = ((1*differential((A000581+(-((-(8/(x-1)^2))+(-(28/(x-1)^3))+(-(56/(x-1)^4))+(-(70/(x-1)^5))+(-(56/(x-1)^6))+(-(28/(x-1)^7))+(-(8/(x-1)^8))+(-(1/(x-1)^9)))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257890 = (((-(1/8))*(A000581+(-((-(1/(x-1)))+(-(28/(x-1)^3))+(-(56/(x-1)^4))+(-(70/(x-1)^5))+(-(56/(x-1)^6))+(-(28/(x-1)^7))+(-(8/(x-1)^8))+(-(1/(x-1)^9))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257464 = (((-(7/384))*differential((A000581+(-((-(1/(x-1)))+(-(28/(x-1)^3))+(-(56/(x-1)^4))+(-(70/(x-1)^5))+(-(56/(x-1)^6))+(-(28/(x-1)^7))+(-(8/(x-1)^8))+(-(1/(x-1)^9)))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257464 = (((1/96)*(A000581+(-((-(1/(x-1)))+(-(8/(x-1)^2))+(-(56/(x-1)^4))+(-(70/(x-1)^5))+(-(56/(x-1)^6))+(-(28/(x-1)^7))+(-(8/(x-1)^8))+(-(1/(x-1)^9))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257890 = (((1/14)*integrate((A000581+(-((-(1/(x-1)))+(-(8/(x-1)^2))+(-(56/(x-1)^4))+(-(70/(x-1)^5))+(-(56/(x-1)^6))+(-(28/(x-1)^7))+(-(8/(x-1)^8))+(-(1/(x-1)^9)))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257890 = (((1/84)*differential((A000581+(-((-(1/(x-1)))+(-(8/(x-1)^2))+(-(56/(x-1)^4))+(-(70/(x-1)^5))+(-(56/(x-1)^6))+(-(28/(x-1)^7))+(-(8/(x-1)^8))+(-(1/(x-1)^9)))))))+(1/(x-1)^2)+(1/(x-1)^6))
A257890 = (((-(1/56))*(A000581+(-((-(1/(x-1)))+(-(8/(x-1)^2))+(-(28/(x-1)^3))+(-(70/(x-1)^5))+(-(56/(x-1)^6))+(-(28/(x-1)^7))+(-(8/(x-1)^8))+(-(1/(x-1)^9))))))+(1/(x-1)^2)+(1/(x-1)^6))
A257464 = (((-(1/64))*integrate((A000581+(-((-(1/(x-1)))+(-(8/(x-1)^2))+(-(28/(x-1)^3))+(-(70/(x-1)^5))+(-(56/(x-1)^6))+(-(28/(x-1)^7))+(-(8/(x-1)^8))+(-(1/(x-1)^9)))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257464 = (((-(1/448))*differential((A000581+(-((-(1/(x-1)))+(-(8/(x-1)^2))+(-(28/(x-1)^3))+(-(70/(x-1)^5))+(-(56/(x-1)^6))+(-(28/(x-1)^7))+(-(8/(x-1)^8))+(-(1/(x-1)^9)))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(7/24/(x-1)^3))+(-(1/2/(x-1)^4)))
A257464 = (((1/140)*(A000581+(-((-(1/(x-1)))+(-(8/(x-1)^2))+(-(28/(x-1)^3))+(-(56/(x-1)^4))+(-(56/(x-1)^6))+(-(28/(x-1)^7))+(-(8/(x-1)^8))+(-(1/(x-1)^9))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(7/24/(x-1)^3))+(-(1/2/(x-1)^4)))
A257890 = (((2/35)*integrate((A000581+(-((-(1/(x-1)))+(-(8/(x-1)^2))+(-(28/(x-1)^3))+(-(56/(x-1)^4))+(-(56/(x-1)^6))+(-(28/(x-1)^7))+(-(8/(x-1)^8))+(-(1/(x-1)^9)))))))+(1/(x-1)^2)+(1/(x-1)^6))
A257890 = (((1/350)*differential((A000581+(-((-(1/(x-1)))+(-(8/(x-1)^2))+(-(28/(x-1)^3))+(-(56/(x-1)^4))+(-(56/(x-1)^6))+(-(28/(x-1)^7))+(-(8/(x-1)^8))+(-(1/(x-1)^9)))))))+(1/(x-1)^2)+(1/(x-1)^4))
A257890 = (((-(1/56))*(A000581+(-((-(1/(x-1)))+(-(8/(x-1)^2))+(-(28/(x-1)^3))+(-(56/(x-1)^4))+(-(70/(x-1)^5))+(-(28/(x-1)^7))+(-(8/(x-1)^8))+(-(1/(x-1)^9))))))+(1/(x-1)^2)+(1/(x-1)^4))
A257464 = (((-(5/112))*integrate((A000581+(-((-(1/(x-1)))+(-(8/(x-1)^2))+(-(28/(x-1)^3))+(-(56/(x-1)^4))+(-(70/(x-1)^5))+(-(28/(x-1)^7))+(-(8/(x-1)^8))+(-(1/(x-1)^9)))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(7/24/(x-1)^3))+(-(1/2/(x-1)^4)))
A257201 = (((1/168)*differential((A000581+(-((-(1/(x-1)))+(-(8/(x-1)^2))+(-(28/(x-1)^3))+(-(56/(x-1)^4))+(-(70/(x-1)^5))+(-(28/(x-1)^7))+(-(8/(x-1)^8))+(-(1/(x-1)^9)))))))+(1/(x-1)^5)+(2/(x-1)^6)+(1/(x-1)^8))
A257201 = (((-(1/14))*(A000581+(-((-(1/(x-1)))+(-(8/(x-1)^2))+(-(28/(x-1)^3))+(-(56/(x-1)^4))+(-(70/(x-1)^5))+(-(56/(x-1)^6))+(-(8/(x-1)^8))+(-(1/(x-1)^9))))))+(1/(x-1)^5)+(2/(x-1)^6)+(1/(x-1)^8))
A257890 = (((3/14)*integrate((A000581+(-((-(1/(x-1)))+(-(8/(x-1)^2))+(-(28/(x-1)^3))+(-(56/(x-1)^4))+(-(70/(x-1)^5))+(-(56/(x-1)^6))+(-(8/(x-1)^8))+(-(1/(x-1)^9)))))))+(1/(x-1)^2)+(1/(x-1)^4))
A257201 = (((1/196)*differential((A000581+(-((-(1/(x-1)))+(-(8/(x-1)^2))+(-(28/(x-1)^3))+(-(56/(x-1)^4))+(-(70/(x-1)^5))+(-(56/(x-1)^6))+(-(8/(x-1)^8))+(-(1/(x-1)^9)))))))+(1/(x-1)^5)+(2/(x-1)^6)+(2/(x-1)^7))
A257201 = (((-(1/8))*(A000581+(-((-(1/(x-1)))+(-(8/(x-1)^2))+(-(28/(x-1)^3))+(-(56/(x-1)^4))+(-(70/(x-1)^5))+(-(56/(x-1)^6))+(-(28/(x-1)^7))+(-(1/(x-1)^9))))))+(1/(x-1)^5)+(2/(x-1)^6)+(2/(x-1)^7))
A257201 = (((7/4)*integrate((A000581+(-((-(1/(x-1)))+(-(8/(x-1)^2))+(-(28/(x-1)^3))+(-(56/(x-1)^4))+(-(70/(x-1)^5))+(-(56/(x-1)^6))+(-(28/(x-1)^7))+(-(1/(x-1)^9)))))))+(1/(x-1)^5)+(2/(x-1)^6)+(1/(x-1)^8))
A256181 = (((-(73603/64))*differential((A000581+(-((-(1/(x-1)))+(-(8/(x-1)^2))+(-(28/(x-1)^3))+(-(56/(x-1)^4))+(-(70/(x-1)^5))+(-(56/(x-1)^6))+(-(28/(x-1)^7))+(-(1/(x-1)^9)))))))+(-(1/(x-1)))+(-(3/(x-1)^3))+(-(102/(x-1)^4))+(-(1305/(x-1)^5))+(-(7812/(x-1)^6))+(-(26333/(x-1)^7))+(-(54854/(x-1)^8))+(-(63976/(x-1)^10))+(-(34905/(x-1)^11))+(-(10890/(x-1)^12))+(-(1485/(x-1)^13))+(-1))
A256181 = ((73603*(A000581+(-((-(1/(x-1)))+(-(8/(x-1)^2))+(-(28/(x-1)^3))+(-(56/(x-1)^4))+(-(70/(x-1)^5))+(-(56/(x-1)^6))+(-(28/(x-1)^7))+(-(8/(x-1)^8))))))+(-(1/(x-1)))+(-(3/(x-1)^3))+(-(102/(x-1)^4))+(-(1305/(x-1)^5))+(-(7812/(x-1)^6))+(-(26333/(x-1)^7))+(-(54854/(x-1)^8))+(-(63976/(x-1)^10))+(-(34905/(x-1)^11))+(-(10890/(x-1)^12))+(-(1485/(x-1)^13))+(-1))
A257201 = ((8*integrate((A000581+(-((-(1/(x-1)))+(-(8/(x-1)^2))+(-(28/(x-1)^3))+(-(56/(x-1)^4))+(-(70/(x-1)^5))+(-(56/(x-1)^6))+(-(28/(x-1)^7))+(-(8/(x-1)^8)))))))+(1/(x-1)^5)+(2/(x-1)^6)+(2/(x-1)^7))
A256181 = (((-(63976/9))*differential((A000581+(-((-(1/(x-1)))+(-(8/(x-1)^2))+(-(28/(x-1)^3))+(-(56/(x-1)^4))+(-(70/(x-1)^5))+(-(56/(x-1)^6))+(-(28/(x-1)^7))+(-(8/(x-1)^8)))))))+(-(1/(x-1)))+(-(3/(x-1)^3))+(-(102/(x-1)^4))+(-(1305/(x-1)^5))+(-(7812/(x-1)^6))+(-(26333/(x-1)^7))+(-(54854/(x-1)^8))+(-(73603/(x-1)^9))+(-(34905/(x-1)^11))+(-(10890/(x-1)^12))+(-(1485/(x-1)^13))+(-1))
A257890 = (((-1)*differential((A000582+(-((9/(x-1)^2)+(36/(x-1)^3)+(84/(x-1)^4)+(126/(x-1)^5)+(126/(x-1)^6)+(84/(x-1)^7)+(36/(x-1)^8)+(9/(x-1)^9)+(1/(x-1)^10))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257890 = (((1/9)*(A000582+(-((1/(x-1))+(36/(x-1)^3)+(84/(x-1)^4)+(126/(x-1)^5)+(126/(x-1)^6)+(84/(x-1)^7)+(36/(x-1)^8)+(9/(x-1)^9)+(1/(x-1)^10)))))+(1/(x-1)^4)+(1/(x-1)^6))
A257464 = (((7/432)*differential((A000582+(-((1/(x-1))+(36/(x-1)^3)+(84/(x-1)^4)+(126/(x-1)^5)+(126/(x-1)^6)+(84/(x-1)^7)+(36/(x-1)^8)+(9/(x-1)^9)+(1/(x-1)^10))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257464 = (((-(7/864))*(A000582+(-((1/(x-1))+(9/(x-1)^2)+(84/(x-1)^4)+(126/(x-1)^5)+(126/(x-1)^6)+(84/(x-1)^7)+(36/(x-1)^8)+(9/(x-1)^9)+(1/(x-1)^10)))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257890 = (((-(1/18))*integrate((A000582+(-((1/(x-1))+(9/(x-1)^2)+(84/(x-1)^4)+(126/(x-1)^5)+(126/(x-1)^6)+(84/(x-1)^7)+(36/(x-1)^8)+(9/(x-1)^9)+(1/(x-1)^10))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257890 = (((-(1/108))*differential((A000582+(-((1/(x-1))+(9/(x-1)^2)+(84/(x-1)^4)+(126/(x-1)^5)+(126/(x-1)^6)+(84/(x-1)^7)+(36/(x-1)^8)+(9/(x-1)^9)+(1/(x-1)^10))))))+(1/(x-1)^2)+(1/(x-1)^6))
A257890 = (((1/84)*(A000582+(-((1/(x-1))+(9/(x-1)^2)+(36/(x-1)^3)+(126/(x-1)^5)+(126/(x-1)^6)+(84/(x-1)^7)+(36/(x-1)^8)+(9/(x-1)^9)+(1/(x-1)^10)))))+(1/(x-1)^2)+(1/(x-1)^6))
A257464 = (((1/96)*integrate((A000582+(-((1/(x-1))+(9/(x-1)^2)+(36/(x-1)^3)+(126/(x-1)^5)+(126/(x-1)^6)+(84/(x-1)^7)+(36/(x-1)^8)+(9/(x-1)^9)+(1/(x-1)^10))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257464 = (((1/672)*differential((A000582+(-((1/(x-1))+(9/(x-1)^2)+(36/(x-1)^3)+(126/(x-1)^5)+(126/(x-1)^6)+(84/(x-1)^7)+(36/(x-1)^8)+(9/(x-1)^9)+(1/(x-1)^10))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(7/24/(x-1)^3))+(-(1/2/(x-1)^4)))
A257464 = (((-(1/252))*(A000582+(-((1/(x-1))+(9/(x-1)^2)+(36/(x-1)^3)+(84/(x-1)^4)+(126/(x-1)^6)+(84/(x-1)^7)+(36/(x-1)^8)+(9/(x-1)^9)+(1/(x-1)^10)))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(7/24/(x-1)^3))+(-(1/2/(x-1)^4)))
A257890 = (((-(2/63))*integrate((A000582+(-((1/(x-1))+(9/(x-1)^2)+(36/(x-1)^3)+(84/(x-1)^4)+(126/(x-1)^6)+(84/(x-1)^7)+(36/(x-1)^8)+(9/(x-1)^9)+(1/(x-1)^10))))))+(1/(x-1)^2)+(1/(x-1)^6))
A257890 = (((-(1/630))*differential((A000582+(-((1/(x-1))+(9/(x-1)^2)+(36/(x-1)^3)+(84/(x-1)^4)+(126/(x-1)^6)+(84/(x-1)^7)+(36/(x-1)^8)+(9/(x-1)^9)+(1/(x-1)^10))))))+(1/(x-1)^2)+(1/(x-1)^4))
A257890 = (((1/126)*(A000582+(-((1/(x-1))+(9/(x-1)^2)+(36/(x-1)^3)+(84/(x-1)^4)+(126/(x-1)^5)+(84/(x-1)^7)+(36/(x-1)^8)+(9/(x-1)^9)+(1/(x-1)^10)))))+(1/(x-1)^2)+(1/(x-1)^4))
A257464 = (((5/252)*integrate((A000582+(-((1/(x-1))+(9/(x-1)^2)+(36/(x-1)^3)+(84/(x-1)^4)+(126/(x-1)^5)+(84/(x-1)^7)+(36/(x-1)^8)+(9/(x-1)^9)+(1/(x-1)^10))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(7/24/(x-1)^3))+(-(1/2/(x-1)^4)))
A257201 = (((-(1/378))*differential((A000582+(-((1/(x-1))+(9/(x-1)^2)+(36/(x-1)^3)+(84/(x-1)^4)+(126/(x-1)^5)+(84/(x-1)^7)+(36/(x-1)^8)+(9/(x-1)^9)+(1/(x-1)^10))))))+(1/(x-1)^5)+(2/(x-1)^6)+(1/(x-1)^8))
A257201 = (((1/42)*(A000582+(-((1/(x-1))+(9/(x-1)^2)+(36/(x-1)^3)+(84/(x-1)^4)+(126/(x-1)^5)+(126/(x-1)^6)+(36/(x-1)^8)+(9/(x-1)^9)+(1/(x-1)^10)))))+(1/(x-1)^5)+(2/(x-1)^6)+(1/(x-1)^8))
A257890 = (((-(1/14))*integrate((A000582+(-((1/(x-1))+(9/(x-1)^2)+(36/(x-1)^3)+(84/(x-1)^4)+(126/(x-1)^5)+(126/(x-1)^6)+(36/(x-1)^8)+(9/(x-1)^9)+(1/(x-1)^10))))))+(1/(x-1)^2)+(1/(x-1)^4))
A257201 = (((-(1/588))*differential((A000582+(-((1/(x-1))+(9/(x-1)^2)+(36/(x-1)^3)+(84/(x-1)^4)+(126/(x-1)^5)+(126/(x-1)^6)+(36/(x-1)^8)+(9/(x-1)^9)+(1/(x-1)^10))))))+(1/(x-1)^5)+(2/(x-1)^6)+(2/(x-1)^7))
A257201 = (((1/36)*(A000582+(-((1/(x-1))+(9/(x-1)^2)+(36/(x-1)^3)+(84/(x-1)^4)+(126/(x-1)^5)+(126/(x-1)^6)+(84/(x-1)^7)+(9/(x-1)^9)+(1/(x-1)^10)))))+(1/(x-1)^5)+(2/(x-1)^6)+(2/(x-1)^7))
A257201 = (((-(7/18))*integrate((A000582+(-((1/(x-1))+(9/(x-1)^2)+(36/(x-1)^3)+(84/(x-1)^4)+(126/(x-1)^5)+(126/(x-1)^6)+(84/(x-1)^7)+(9/(x-1)^9)+(1/(x-1)^10))))))+(1/(x-1)^5)+(2/(x-1)^6)+(1/(x-1)^8))
A256181 = (((73603/288)*differential((A000582+(-((1/(x-1))+(9/(x-1)^2)+(36/(x-1)^3)+(84/(x-1)^4)+(126/(x-1)^5)+(126/(x-1)^6)+(84/(x-1)^7)+(9/(x-1)^9)+(1/(x-1)^10))))))+(-(1/(x-1)))+(-(3/(x-1)^3))+(-(102/(x-1)^4))+(-(1305/(x-1)^5))+(-(7812/(x-1)^6))+(-(26333/(x-1)^7))+(-(54854/(x-1)^8))+(-(63976/(x-1)^10))+(-(34905/(x-1)^11))+(-(10890/(x-1)^12))+(-(1485/(x-1)^13))+(-1))
A256181 = (((-(73603/9))*(A000582+(-((1/(x-1))+(9/(x-1)^2)+(36/(x-1)^3)+(84/(x-1)^4)+(126/(x-1)^5)+(126/(x-1)^6)+(84/(x-1)^7)+(36/(x-1)^8)+(1/(x-1)^10)))))+(-(1/(x-1)))+(-(3/(x-1)^3))+(-(102/(x-1)^4))+(-(1305/(x-1)^5))+(-(7812/(x-1)^6))+(-(26333/(x-1)^7))+(-(54854/(x-1)^8))+(-(63976/(x-1)^10))+(-(34905/(x-1)^11))+(-(10890/(x-1)^12))+(-(1485/(x-1)^13))+(-1))
A257201 = (((-(8/9))*integrate((A000582+(-((1/(x-1))+(9/(x-1)^2)+(36/(x-1)^3)+(84/(x-1)^4)+(126/(x-1)^5)+(126/(x-1)^6)+(84/(x-1)^7)+(36/(x-1)^8)+(1/(x-1)^10))))))+(1/(x-1)^5)+(2/(x-1)^6)+(2/(x-1)^7))
A256181 = (((63976/81)*differential((A000582+(-((1/(x-1))+(9/(x-1)^2)+(36/(x-1)^3)+(84/(x-1)^4)+(126/(x-1)^5)+(126/(x-1)^6)+(84/(x-1)^7)+(36/(x-1)^8)+(1/(x-1)^10))))))+(-(1/(x-1)))+(-(3/(x-1)^3))+(-(102/(x-1)^4))+(-(1305/(x-1)^5))+(-(7812/(x-1)^6))+(-(26333/(x-1)^7))+(-(54854/(x-1)^8))+(-(73603/(x-1)^9))+(-(34905/(x-1)^11))+(-(10890/(x-1)^12))+(-(1485/(x-1)^13))+(-1))
A256181 = (((-63976)*(A000582+(-((1/(x-1))+(9/(x-1)^2)+(36/(x-1)^3)+(84/(x-1)^4)+(126/(x-1)^5)+(126/(x-1)^6)+(84/(x-1)^7)+(36/(x-1)^8)+(9/(x-1)^9)))))+(-(1/(x-1)))+(-(3/(x-1)^3))+(-(102/(x-1)^4))+(-(1305/(x-1)^5))+(-(7812/(x-1)^6))+(-(26333/(x-1)^7))+(-(54854/(x-1)^8))+(-(73603/(x-1)^9))+(-(34905/(x-1)^11))+(-(10890/(x-1)^12))+(-(1485/(x-1)^13))+(-1))
A256181 = ((662427*integrate((A000582+(-((1/(x-1))+(9/(x-1)^2)+(36/(x-1)^3)+(84/(x-1)^4)+(126/(x-1)^5)+(126/(x-1)^6)+(84/(x-1)^7)+(36/(x-1)^8)+(9/(x-1)^9))))))+(-(1/(x-1)))+(-(3/(x-1)^3))+(-(102/(x-1)^4))+(-(1305/(x-1)^5))+(-(7812/(x-1)^6))+(-(26333/(x-1)^7))+(-(54854/(x-1)^8))+(-(63976/(x-1)^10))+(-(34905/(x-1)^11))+(-(10890/(x-1)^12))+(-(1485/(x-1)^13))+(-1))
A256181 = (((6981/2)*differential((A000582+(-((1/(x-1))+(9/(x-1)^2)+(36/(x-1)^3)+(84/(x-1)^4)+(126/(x-1)^5)+(126/(x-1)^6)+(84/(x-1)^7)+(36/(x-1)^8)+(9/(x-1)^9))))))+(-(1/(x-1)))+(-(3/(x-1)^3))+(-(102/(x-1)^4))+(-(1305/(x-1)^5))+(-(7812/(x-1)^6))+(-(26333/(x-1)^7))+(-(54854/(x-1)^8))+(-(73603/(x-1)^9))+(-(63976/(x-1)^10))+(-(10890/(x-1)^12))+(-(1485/(x-1)^13))+(-1))
A257890 = (((-1)*differential((A000584+(-((31/(x-1)^2)+(180/(x-1)^3)+(390/(x-1)^4)+(360/(x-1)^5)+(120/(x-1)^6))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257890 = (((1/31)*(A000584+(-((1/(x-1))+(180/(x-1)^3)+(390/(x-1)^4)+(360/(x-1)^5)+(120/(x-1)^6)))))+(1/(x-1)^4)+(1/(x-1)^6))
A257464 = (((7/1488)*differential((A000584+(-((1/(x-1))+(180/(x-1)^3)+(390/(x-1)^4)+(360/(x-1)^5)+(120/(x-1)^6))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257464 = (((-(7/4320))*(A000584+(-((1/(x-1))+(31/(x-1)^2)+(390/(x-1)^4)+(360/(x-1)^5)+(120/(x-1)^6)))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257890 = (((-(1/90))*integrate((A000584+(-((1/(x-1))+(31/(x-1)^2)+(390/(x-1)^4)+(360/(x-1)^5)+(120/(x-1)^6))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257890 = (((-(1/540))*differential((A000584+(-((1/(x-1))+(31/(x-1)^2)+(390/(x-1)^4)+(360/(x-1)^5)+(120/(x-1)^6))))))+(1/(x-1)^2)+(1/(x-1)^6))
A257890 = (((1/390)*(A000584+(-((1/(x-1))+(31/(x-1)^2)+(180/(x-1)^3)+(360/(x-1)^5)+(120/(x-1)^6)))))+(1/(x-1)^2)+(1/(x-1)^6))
A257464 = (((7/3120)*integrate((A000584+(-((1/(x-1))+(31/(x-1)^2)+(180/(x-1)^3)+(360/(x-1)^5)+(120/(x-1)^6))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257464 = (((1/3120)*differential((A000584+(-((1/(x-1))+(31/(x-1)^2)+(180/(x-1)^3)+(360/(x-1)^5)+(120/(x-1)^6))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(7/24/(x-1)^3))+(-(1/2/(x-1)^4)))
A257464 = (((-(1/720))*(A000584+(-((1/(x-1))+(31/(x-1)^2)+(180/(x-1)^3)+(390/(x-1)^4)+(120/(x-1)^6)))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(7/24/(x-1)^3))+(-(1/2/(x-1)^4)))
A257890 = (((-(1/90))*integrate((A000584+(-((1/(x-1))+(31/(x-1)^2)+(180/(x-1)^3)+(390/(x-1)^4)+(120/(x-1)^6))))))+(1/(x-1)^2)+(1/(x-1)^6))
A257890 = (((-(1/1800))*differential((A000584+(-((1/(x-1))+(31/(x-1)^2)+(180/(x-1)^3)+(390/(x-1)^4)+(120/(x-1)^6))))))+(1/(x-1)^2)+(1/(x-1)^4))
A257890 = (((1/120)*(A000584+(-((1/(x-1))+(31/(x-1)^2)+(180/(x-1)^3)+(390/(x-1)^4)+(360/(x-1)^5)))))+(1/(x-1)^2)+(1/(x-1)^4))
A257464 = (((1/48)*integrate((A000584+(-((1/(x-1))+(31/(x-1)^2)+(180/(x-1)^3)+(390/(x-1)^4)+(360/(x-1)^5))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(7/24/(x-1)^3))+(-(1/2/(x-1)^4)))
A257201 = (((-(1/360))*differential((A000584+(-((1/(x-1))+(31/(x-1)^2)+(180/(x-1)^3)+(390/(x-1)^4)+(360/(x-1)^5))))))+(1/(x-1)^5)+(2/(x-1)^6)+(1/(x-1)^8))
A257890 = (((1/5)*differential((A000689+(-((-(((3*x)-1)/(x^2+1)))+(-5))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257890 = (((1/5)*differential((A000689+(-((-(((3*x)-1)/(x^2+1)))+(-5))))))+(1/(x-1)^4)+(1/(x-1)^6))
A248917 = (((-6)*differential((A000749+(-((-(((1/2)*x)/(((2*x^2)-(2*x))+1)))+(-(1/4)))))))+(-(1/((2*x)-1)))+(-(1/(x-1)))+(-(2/((2*x)-1)^3)))
A248917 = (((-(9/2))*differential((A000773+(-((((1/2)*(x+1))/((3*x^2)-1))+(1/6/(x+1)))))))+(-(1/((2*x)-1)))+(-(1/(x-1)))+(-(2/((2*x)-1)^3)))
A257850 = (((3/10)*differential((A000773+(-((((1/2)*(x+1))/((3*x^2)-1))+(-(1/3/((2*x)-1))))))))+(((1/5)*((15*x^3)+(4*x^2)+(8*x)+9))/((((x^4-x^3)+x^2)-x)+1))+(-(-(((1/5)*((11*x^3)+(16*x^2)+(15*x)+8))/(x^4+x^3+x^2+x+1))))+(-(-(((1/2)*((2*x^3)+(2*x^2)+x))/(x^4+x^3+x^2+x+1)^2)))+(-(-(((1/2)*(((2*x^2)-x)+2))/((((x^4-x^3)+x^2)-x)+1)^2)))+(-(1/2/(x+1)))+(-(33/10/(x-1)))+(9/20/(x-1)^2))
A257890 = (((1/5)*differential((A000910+(-((-(30/(x-1)^2))+(-(75/(x-1)^3))+(-(100/(x-1)^4))+(-(75/(x-1)^5))+(-(30/(x-1)^6))+(-(5/(x-1)^7)))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257890 = (((-(1/30))*(A000910+(-((-(5/(x-1)))+(-(75/(x-1)^3))+(-(100/(x-1)^4))+(-(75/(x-1)^5))+(-(30/(x-1)^6))+(-(5/(x-1)^7))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257464 = (((-(7/1440))*differential((A000910+(-((-(5/(x-1)))+(-(75/(x-1)^3))+(-(100/(x-1)^4))+(-(75/(x-1)^5))+(-(30/(x-1)^6))+(-(5/(x-1)^7)))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257464 = (((7/1800)*(A000910+(-((-(5/(x-1)))+(-(30/(x-1)^2))+(-(100/(x-1)^4))+(-(75/(x-1)^5))+(-(30/(x-1)^6))+(-(5/(x-1)^7))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257890 = (((2/75)*integrate((A000910+(-((-(5/(x-1)))+(-(30/(x-1)^2))+(-(100/(x-1)^4))+(-(75/(x-1)^5))+(-(30/(x-1)^6))+(-(5/(x-1)^7)))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257890 = (((1/225)*differential((A000910+(-((-(5/(x-1)))+(-(30/(x-1)^2))+(-(100/(x-1)^4))+(-(75/(x-1)^5))+(-(30/(x-1)^6))+(-(5/(x-1)^7)))))))+(1/(x-1)^2)+(1/(x-1)^6))
A257890 = (((-(1/100))*(A000910+(-((-(5/(x-1)))+(-(30/(x-1)^2))+(-(75/(x-1)^3))+(-(75/(x-1)^5))+(-(30/(x-1)^6))+(-(5/(x-1)^7))))))+(1/(x-1)^2)+(1/(x-1)^6))
A257464 = (((-(7/800))*integrate((A000910+(-((-(5/(x-1)))+(-(30/(x-1)^2))+(-(75/(x-1)^3))+(-(75/(x-1)^5))+(-(30/(x-1)^6))+(-(5/(x-1)^7)))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257464 = (((-(1/800))*differential((A000910+(-((-(5/(x-1)))+(-(30/(x-1)^2))+(-(75/(x-1)^3))+(-(75/(x-1)^5))+(-(30/(x-1)^6))+(-(5/(x-1)^7)))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(7/24/(x-1)^3))+(-(1/2/(x-1)^4)))
A257464 = (((1/150)*(A000910+(-((-(5/(x-1)))+(-(30/(x-1)^2))+(-(75/(x-1)^3))+(-(100/(x-1)^4))+(-(30/(x-1)^6))+(-(5/(x-1)^7))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(7/24/(x-1)^3))+(-(1/2/(x-1)^4)))
A257890 = (((4/75)*integrate((A000910+(-((-(5/(x-1)))+(-(30/(x-1)^2))+(-(75/(x-1)^3))+(-(100/(x-1)^4))+(-(30/(x-1)^6))+(-(5/(x-1)^7)))))))+(1/(x-1)^2)+(1/(x-1)^6))
A257890 = (((1/375)*differential((A000910+(-((-(5/(x-1)))+(-(30/(x-1)^2))+(-(75/(x-1)^3))+(-(100/(x-1)^4))+(-(30/(x-1)^6))+(-(5/(x-1)^7)))))))+(1/(x-1)^2)+(1/(x-1)^4))
A257890 = (((-(1/30))*(A000910+(-((-(5/(x-1)))+(-(30/(x-1)^2))+(-(75/(x-1)^3))+(-(100/(x-1)^4))+(-(75/(x-1)^5))+(-(5/(x-1)^7))))))+(1/(x-1)^2)+(1/(x-1)^4))
A257464 = (((-(1/12))*integrate((A000910+(-((-(5/(x-1)))+(-(30/(x-1)^2))+(-(75/(x-1)^3))+(-(100/(x-1)^4))+(-(75/(x-1)^5))+(-(5/(x-1)^7)))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(7/24/(x-1)^3))+(-(1/2/(x-1)^4)))
A257201 = (((1/90)*differential((A000910+(-((-(5/(x-1)))+(-(30/(x-1)^2))+(-(75/(x-1)^3))+(-(100/(x-1)^4))+(-(75/(x-1)^5))+(-(5/(x-1)^7)))))))+(1/(x-1)^5)+(2/(x-1)^6)+(1/(x-1)^8))
A257201 = (((-(2/5))*(A000910+(-((-(5/(x-1)))+(-(30/(x-1)^2))+(-(75/(x-1)^3))+(-(100/(x-1)^4))+(-(75/(x-1)^5))+(-(30/(x-1)^6))))))+(1/(x-1)^5)+(2/(x-1)^6)+(1/(x-1)^8))
A257890 = (((6/5)*integrate((A000910+(-((-(5/(x-1)))+(-(30/(x-1)^2))+(-(75/(x-1)^3))+(-(100/(x-1)^4))+(-(75/(x-1)^5))+(-(30/(x-1)^6)))))))+(1/(x-1)^2)+(1/(x-1)^4))
A257201 = (((1/35)*differential((A000910+(-((-(5/(x-1)))+(-(30/(x-1)^2))+(-(75/(x-1)^3))+(-(100/(x-1)^4))+(-(75/(x-1)^5))+(-(30/(x-1)^6)))))))+(1/(x-1)^5)+(2/(x-1)^6)+(2/(x-1)^7))
A257890 = (((1/2)*differential((A000803+(-(-((2*((5*x^2)-1))/((x^3+x^2+x)-1)))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257850 = (((-(1/20))*differential((A000804+(-((-(41*x^4))+(-(-(23*x^3)))+(-(-(11*x^2)))+(-(-(4*x)))+(-(-((((4*x^3)+(8*x))-5)/((x^5-(2*x^3)-(2*x))+1))))+(-((2*((x^3+(2*x^2)+(3*x))-4))/((x^4+x^3+x^2+x)-1)))+(-(2/(x-1)))+(-15))))))+(((1/5)*((15*x^3)+(4*x^2)+(8*x)+9))/((((x^4-x^3)+x^2)-x)+1))+(-(-(((1/5)*((11*x^3)+(16*x^2)+(15*x)+8))/(x^4+x^3+x^2+x+1))))+(-(-(((1/2)*((2*x^3)+(2*x^2)+x))/(x^4+x^3+x^2+x+1)^2)))+(-(-(((1/2)*(((2*x^2)-x)+2))/((((x^4-x^3)+x^2)-x)+1)^2)))+(-(1/2/(x+1)))+(-(33/10/(x-1)))+(9/20/(x-1)^2))
A257890 = (((1/2)*differential((A000804+(-((-(41*x^4))+(-(-(23*x^3)))+(-(-(11*x^2)))+(-(-(4*x)))+(-(-((((4*x^3)+(8*x))-5)/((x^5-(2*x^3)-(2*x))+1))))+(-((2*((x^3+(2*x^2)+(3*x))-4))/((x^4+x^3+x^2+x)-1)))+(-(1/(x+1)))+(-15))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257890 = (((1/50)*differential((A000855+(-((-(50*x))+(-(-((20*((((2*x^7)-x^5-x^4)+(2*x^3)+(3*x^2))-1))/((((x^8-x^6)+x^4)-x^2)+1))))+(-((2*(x+3))/(x^2+1)))+(-75))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257464 = (((7/24)*(A000914+(-((-(4/(x-1)^4))+(-(3/(x-1)^5))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257890 = ((2*integrate((A000914+(-((-(4/(x-1)^4))+(-(3/(x-1)^5)))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257890 = (((1/3)*differential((A000914+(-((-(4/(x-1)^4))+(-(3/(x-1)^5)))))))+(1/(x-1)^2)+(1/(x-1)^6))
A257890 = (((-(1/4))*(A000914+(-((-(1/(x-1)^3))+(-(3/(x-1)^5))))))+(1/(x-1)^2)+(1/(x-1)^6))
A257464 = (((-(7/32))*integrate((A000914+(-((-(1/(x-1)^3))+(-(3/(x-1)^5)))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257464 = (((-(1/32))*differential((A000914+(-((-(1/(x-1)^3))+(-(3/(x-1)^5)))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(7/24/(x-1)^3))+(-(1/2/(x-1)^4)))
A257464 = (((1/6)*(A000914+(-((-(1/(x-1)^3))+(-(4/(x-1)^4))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(7/24/(x-1)^3))+(-(1/2/(x-1)^4)))
A257890 = (((4/3)*integrate((A000914+(-((-(1/(x-1)^3))+(-(4/(x-1)^4)))))))+(1/(x-1)^2)+(1/(x-1)^6))
A257890 = (((1/15)*differential((A000914+(-((-(1/(x-1)^3))+(-(4/(x-1)^4)))))))+(1/(x-1)^2)+(1/(x-1)^4))
A257464 = (((1/2)*(A000915+(-((-(26/(x-1)^6))+(-(130/(x-1)^7))+(-(210/(x-1)^8))+(-(105/(x-1)^9))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(7/24/(x-1)^3))+(-(1/2/(x-1)^4)))
A257890 = ((4*integrate((A000915+(-((-(26/(x-1)^6))+(-(130/(x-1)^7))+(-(210/(x-1)^8))+(-(105/(x-1)^9)))))))+(1/(x-1)^2)+(1/(x-1)^6))
A257890 = (((1/5)*differential((A000915+(-((-(26/(x-1)^6))+(-(130/(x-1)^7))+(-(210/(x-1)^8))+(-(105/(x-1)^9)))))))+(1/(x-1)^2)+(1/(x-1)^4))
A257890 = (((-(1/26))*(A000915+(-((-(1/(x-1)^5))+(-(130/(x-1)^7))+(-(210/(x-1)^8))+(-(105/(x-1)^9))))))+(1/(x-1)^2)+(1/(x-1)^4))
A257464 = (((-(5/52))*integrate((A000915+(-((-(1/(x-1)^5))+(-(130/(x-1)^7))+(-(210/(x-1)^8))+(-(105/(x-1)^9)))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(7/24/(x-1)^3))+(-(1/2/(x-1)^4)))
A257201 = (((1/78)*differential((A000915+(-((-(1/(x-1)^5))+(-(130/(x-1)^7))+(-(210/(x-1)^8))+(-(105/(x-1)^9)))))))+(1/(x-1)^5)+(2/(x-1)^6)+(1/(x-1)^8))
A257201 = (((-(1/65))*(A000915+(-((-(1/(x-1)^5))+(-(26/(x-1)^6))+(-(210/(x-1)^8))+(-(105/(x-1)^9))))))+(1/(x-1)^5)+(2/(x-1)^6)+(1/(x-1)^8))
A257890 = (((3/65)*integrate((A000915+(-((-(1/(x-1)^5))+(-(26/(x-1)^6))+(-(210/(x-1)^8))+(-(105/(x-1)^9)))))))+(1/(x-1)^2)+(1/(x-1)^4))
A257201 = (((1/910)*differential((A000915+(-((-(1/(x-1)^5))+(-(26/(x-1)^6))+(-(210/(x-1)^8))+(-(105/(x-1)^9)))))))+(1/(x-1)^5)+(2/(x-1)^6)+(2/(x-1)^7))
A257201 = (((-(1/210))*(A000915+(-((-(1/(x-1)^5))+(-(26/(x-1)^6))+(-(130/(x-1)^7))+(-(105/(x-1)^9))))))+(1/(x-1)^5)+(2/(x-1)^6)+(2/(x-1)^7))
A257201 = (((1/15)*integrate((A000915+(-((-(1/(x-1)^5))+(-(26/(x-1)^6))+(-(130/(x-1)^7))+(-(105/(x-1)^9)))))))+(1/(x-1)^5)+(2/(x-1)^6)+(1/(x-1)^8))
A256181 = (((-(73603/1680))*differential((A000915+(-((-(1/(x-1)^5))+(-(26/(x-1)^6))+(-(130/(x-1)^7))+(-(105/(x-1)^9)))))))+(-(1/(x-1)))+(-(3/(x-1)^3))+(-(102/(x-1)^4))+(-(1305/(x-1)^5))+(-(7812/(x-1)^6))+(-(26333/(x-1)^7))+(-(54854/(x-1)^8))+(-(63976/(x-1)^10))+(-(34905/(x-1)^11))+(-(10890/(x-1)^12))+(-(1485/(x-1)^13))+(-1))
A256181 = (((73603/105)*(A000915+(-((-(1/(x-1)^5))+(-(26/(x-1)^6))+(-(130/(x-1)^7))+(-(210/(x-1)^8))))))+(-(1/(x-1)))+(-(3/(x-1)^3))+(-(102/(x-1)^4))+(-(1305/(x-1)^5))+(-(7812/(x-1)^6))+(-(26333/(x-1)^7))+(-(54854/(x-1)^8))+(-(63976/(x-1)^10))+(-(34905/(x-1)^11))+(-(10890/(x-1)^12))+(-(1485/(x-1)^13))+(-1))
A257201 = (((8/105)*integrate((A000915+(-((-(1/(x-1)^5))+(-(26/(x-1)^6))+(-(130/(x-1)^7))+(-(210/(x-1)^8)))))))+(1/(x-1)^5)+(2/(x-1)^6)+(2/(x-1)^7))
A256181 = (((-(63976/945))*differential((A000915+(-((-(1/(x-1)^5))+(-(26/(x-1)^6))+(-(130/(x-1)^7))+(-(210/(x-1)^8)))))))+(-(1/(x-1)))+(-(3/(x-1)^3))+(-(102/(x-1)^4))+(-(1305/(x-1)^5))+(-(7812/(x-1)^6))+(-(26333/(x-1)^7))+(-(54854/(x-1)^8))+(-(73603/(x-1)^9))+(-(34905/(x-1)^11))+(-(10890/(x-1)^12))+(-(1485/(x-1)^13))+(-1))
A248917 = (((-(3/2))*differential((A000918+(-(2/(x-1))))))+(-(1/((2*x)-1)))+(-(1/(x-1)))+(-(2/((2*x)-1)^3)))
A257890 = (((-(1/2))*differential((A000918+(-(-(1/((2*x)-1)))))))+(1/(x-1)^4)+(1/(x-1)^6))
A248917 = (((-(3/2))*differential((A000918+(-(2/(x-1))))))+(-(1/((2*x)-1)))+(-(1/(x-1)))+(-(2/((2*x)-1)^3)))
A257890 = (((-(1/2))*differential((A000918+(-(-(1/((2*x)-1)))))))+(1/(x-1)^4)+(1/(x-1)^6))
A241874 = (((5/864)*differential((A000919+(-((-(12/((3*x)-1)))+(-(12/((2*x)-1)))+(4/(x-1)))))))+(-(4/125/((6*x)-1)))+(-(-(-(9/160/((5*x)-1)))))+(-(-(-(1/24/((4*x)-1)))))+(-(-(5/288/((3*x)-1))))+(-(-(3/32/((2*x)-1))))+(-(-(593/6000/(x-1))))+(-(-(3/80/((5*x)-1)^2)))+(-(-(13/144/((3*x)-1)^2)))+(-(1/16/((2*x)-1)^2))+(-(923/10800/(x-1)^2))+(-(1/24/((4*x)-1)^3))+(-(17/144/((3*x)-1)^3))+(-(1/16/((2*x)-1)^3))+(-(19/720/(x-1)^3))+(-(1/24/((3*x)-1)^4))+(-(3/32/((2*x)-1)^4))+(-(1/32/((2*x)-1)^5))+(-(3/160)))
A248088 = (((1/72)*differential((A000919+(-((-(4/((4*x)-1)))+(-(12/((2*x)-1)))+(4/(x-1)))))))+(((1/6)*((2*x)+1))/((3*x^2)+(2*x)+1))+(-(1/3/((3*x)-1))))
A248917 = (((-(1/8))*differential((A000919+(-((-(4/((4*x)-1)))+(-(12/((3*x)-1)))+(4/(x-1)))))))+(-(1/((2*x)-1)))+(-(1/(x-1)))+(-(2/((2*x)-1)^3)))
A257890 = (((-(1/4))*differential((A000919+(-((-(4/((4*x)-1)))+(-(12/((3*x)-1)))+(-(12/((2*x)-1))))))))+(1/(x-1)^4)+(1/(x-1)^6))
A229689 = (((-(1/9))*differential((A000920+(-((-(-(6/((5*x)-1))))+(-(-(15/((4*x)-1))))+(-(20/((3*x)-1)))+(-(15/((2*x)-1)))+(6/(x-1))+1)))))+((1/2)*x)+(-(13/36/((6*x)-1)))+(-(16/27/((6*x)-1)^3))+(47/108))
A241874 = (((-(1/800))*differential((A000920+(-((-(1/((6*x)-1)))+(-(-(15/((4*x)-1))))+(-(20/((3*x)-1)))+(-(15/((2*x)-1)))+(6/(x-1))+1)))))+(-(4/125/((6*x)-1)))+(-(-(-(9/160/((5*x)-1)))))+(-(-(-(1/24/((4*x)-1)))))+(-(-(5/288/((3*x)-1))))+(-(-(3/32/((2*x)-1))))+(-(-(593/6000/(x-1))))+(-(-(5/54/((4*x)-1)^2)))+(-(-(13/144/((3*x)-1)^2)))+(-(1/16/((2*x)-1)^2))+(-(923/10800/(x-1)^2))+(-(1/24/((4*x)-1)^3))+(-(17/144/((3*x)-1)^3))+(-(1/16/((2*x)-1)^3))+(-(19/720/(x-1)^3))+(-(1/24/((3*x)-1)^4))+(-(3/32/((2*x)-1)^4))+(-(1/32/((2*x)-1)^5))+(-(3/160)))
A241874 = (((-(1/648))*differential((A000920+(-((-(1/((6*x)-1)))+(-(-(6/((5*x)-1))))+(-(20/((3*x)-1)))+(-(15/((2*x)-1)))+(6/(x-1))+1)))))+(-(4/125/((6*x)-1)))+(-(-(-(9/160/((5*x)-1)))))+(-(-(-(1/24/((4*x)-1)))))+(-(-(5/288/((3*x)-1))))+(-(-(3/32/((2*x)-1))))+(-(-(593/6000/(x-1))))+(-(-(3/80/((5*x)-1)^2)))+(-(-(13/144/((3*x)-1)^2)))+(-(1/16/((2*x)-1)^2))+(-(923/10800/(x-1)^2))+(-(1/24/((4*x)-1)^3))+(-(17/144/((3*x)-1)^3))+(-(1/16/((2*x)-1)^3))+(-(19/720/(x-1)^3))+(-(1/24/((3*x)-1)^4))+(-(3/32/((2*x)-1)^4))+(-(1/32/((2*x)-1)^5))+(-(3/160)))
A248088 = (((1/120)*differential((A000920+(-((-(1/((6*x)-1)))+(-(-(6/((5*x)-1))))+(-(-(15/((4*x)-1))))+(-(15/((2*x)-1)))+(6/(x-1))+1)))))+(((1/6)*((2*x)+1))/((3*x^2)+(2*x)+1))+(-(1/3/((3*x)-1))))
A248917 = (((-(1/10))*differential((A000920+(-((-(1/((6*x)-1)))+(-(-(6/((5*x)-1))))+(-(-(15/((4*x)-1))))+(-(20/((3*x)-1)))+(6/(x-1))+1)))))+(-(1/((2*x)-1)))+(-(1/(x-1)))+(-(2/((2*x)-1)^3)))
A257890 = (((-(1/6))*differential((A000920+(-((-(1/((6*x)-1)))+(-(-(6/((5*x)-1))))+(-(-(15/((4*x)-1))))+(-(20/((3*x)-1)))+(-(15/((2*x)-1)))+1)))))+(1/(x-1)^4)+(1/(x-1)^6))
A164504 = (((-(2*x^2))*A000930)+(-(8*x^3))+(-(-(5*x^2)))+(-(-(2*x)))+(-(1/((x^3+x)-1)^2))+(-1))
A257890 = (((36/73)*differential((A000933+(-((-x^2)+(-(-x))+(-(-(((1/9)*((2*x)+1))/(x^2+x+1))))+(-(((1/4)*(x-1))/(x^2+1)))+(-(5/6/(x-1)^2))+(-(1/6/(x-1)^3))+(-1))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257890 = (((-(6/5))*(A000933+(-((-x^2)+(-(-x))+(-(-(((1/9)*((2*x)+1))/(x^2+x+1))))+(-(((1/4)*(x-1))/(x^2+1)))+(-(73/36/(x-1)))+(-(1/6/(x-1)^3))+(-1)))))+(1/(x-1)^4)+(1/(x-1)^6))
A257464 = (((-(7/40))*differential((A000933+(-((-x^2)+(-(-x))+(-(-(((1/9)*((2*x)+1))/(x^2+x+1))))+(-(((1/4)*(x-1))/(x^2+1)))+(-(73/36/(x-1)))+(-(1/6/(x-1)^3))+(-1))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257464 = (((7/4)*(A000933+(-((-x^2)+(-(-x))+(-(-(((1/9)*((2*x)+1))/(x^2+x+1))))+(-(((1/4)*(x-1))/(x^2+1)))+(-(73/36/(x-1)))+(-(5/6/(x-1)^2))+(-1)))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257890 = ((12*integrate((A000933+(-((-x^2)+(-(-x))+(-(-(((1/9)*((2*x)+1))/(x^2+x+1))))+(-(((1/4)*(x-1))/(x^2+1)))+(-(73/36/(x-1)))+(-(5/6/(x-1)^2))+(-1))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257890 = ((2*differential((A000933+(-((-x^2)+(-(-x))+(-(-(((1/9)*((2*x)+1))/(x^2+x+1))))+(-(((1/4)*(x-1))/(x^2+1)))+(-(73/36/(x-1)))+(-(5/6/(x-1)^2))+(-1))))))+(1/(x-1)^2)+(1/(x-1)^6))
A257890 = (((36/73)*differential((A000933+(-((-x^2)+(-(-x))+(-(-(((1/9)*((2*x)+1))/(x^2+x+1))))+(-(((1/4)*(x-1))/(x^2+1)))+(-(5/6/(x-1)^2))+(-(1/6/(x-1)^3))+(-1))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257890 = (((-(6/5))*(A000933+(-((-x^2)+(-(-x))+(-(-(((1/9)*((2*x)+1))/(x^2+x+1))))+(-(((1/4)*(x-1))/(x^2+1)))+(-(73/36/(x-1)))+(-(1/6/(x-1)^3))+(-1)))))+(1/(x-1)^4)+(1/(x-1)^6))
A257464 = (((-(7/40))*differential((A000933+(-((-x^2)+(-(-x))+(-(-(((1/9)*((2*x)+1))/(x^2+x+1))))+(-(((1/4)*(x-1))/(x^2+1)))+(-(73/36/(x-1)))+(-(1/6/(x-1)^3))+(-1))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257464 = (((7/4)*(A000933+(-((-x^2)+(-(-x))+(-(-(((1/9)*((2*x)+1))/(x^2+x+1))))+(-(((1/4)*(x-1))/(x^2+1)))+(-(73/36/(x-1)))+(-(5/6/(x-1)^2))+(-1)))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257890 = ((12*integrate((A000933+(-((-x^2)+(-(-x))+(-(-(((1/9)*((2*x)+1))/(x^2+x+1))))+(-(((1/4)*(x-1))/(x^2+1)))+(-(73/36/(x-1)))+(-(5/6/(x-1)^2))+(-1))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257890 = ((2*differential((A000933+(-((-x^2)+(-(-x))+(-(-(((1/9)*((2*x)+1))/(x^2+x+1))))+(-(((1/4)*(x-1))/(x^2+1)))+(-(73/36/(x-1)))+(-(5/6/(x-1)^2))+(-1))))))+(1/(x-1)^2)+(1/(x-1)^6))
A257890 = ((9*differential((A000969+(-((-(((1/9)*(x-1))/(x^2+x+1)))+(-(1/3/(x-1)^2))+(-(4/3/(x-1)^3)))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257890 = (((-3)*(A000969+(-((-(((1/9)*(x-1))/(x^2+x+1)))+(-(1/9/(x-1)))+(-(4/3/(x-1)^3))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257464 = (((-(7/16))*differential((A000969+(-((-(((1/9)*(x-1))/(x^2+x+1)))+(-(1/9/(x-1)))+(-(4/3/(x-1)^3)))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257464 = (((7/32)*(A000969+(-((-(((1/9)*(x-1))/(x^2+x+1)))+(-(1/9/(x-1)))+(-(1/3/(x-1)^2))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257890 = (((3/2)*integrate((A000969+(-((-(((1/9)*(x-1))/(x^2+x+1)))+(-(1/9/(x-1)))+(-(1/3/(x-1)^2)))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257890 = (((1/4)*differential((A000969+(-((-(((1/9)*(x-1))/(x^2+x+1)))+(-(1/9/(x-1)))+(-(1/3/(x-1)^2)))))))+(1/(x-1)^2)+(1/(x-1)^6))
A257890 = (((25/1049)*differential((A000970+(-((-(3*x))+(-(((1/25)*((x^3+(2*x^2))-(2*x)-1))/(x^4+x^3+x^2+x+1)))+(-(57/(x-1)^2))+(-(221/5/(x-1)^3))+(-(92/5/(x-1)^4))+(-(16/5/(x-1)^5))+(-14))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257890 = (((-(1/57))*(A000970+(-((-(3*x))+(-(((1/25)*((x^3+(2*x^2))-(2*x)-1))/(x^4+x^3+x^2+x+1)))+(-(1049/25/(x-1)))+(-(221/5/(x-1)^3))+(-(92/5/(x-1)^4))+(-(16/5/(x-1)^5))+(-14)))))+(1/(x-1)^4)+(1/(x-1)^6))
A257464 = (((-(7/2736))*differential((A000970+(-((-(3*x))+(-(((1/25)*((x^3+(2*x^2))-(2*x)-1))/(x^4+x^3+x^2+x+1)))+(-(1049/25/(x-1)))+(-(221/5/(x-1)^3))+(-(92/5/(x-1)^4))+(-(16/5/(x-1)^5))+(-14))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257464 = (((35/5304)*(A000970+(-((-(3*x))+(-(((1/25)*((x^3+(2*x^2))-(2*x)-1))/(x^4+x^3+x^2+x+1)))+(-(1049/25/(x-1)))+(-(57/(x-1)^2))+(-(92/5/(x-1)^4))+(-(16/5/(x-1)^5))+(-14)))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257890 = (((10/221)*integrate((A000970+(-((-(3*x))+(-(((1/25)*((x^3+(2*x^2))-(2*x)-1))/(x^4+x^3+x^2+x+1)))+(-(1049/25/(x-1)))+(-(57/(x-1)^2))+(-(92/5/(x-1)^4))+(-(16/5/(x-1)^5))+(-14))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257890 = (((5/663)*differential((A000970+(-((-(3*x))+(-(((1/25)*((x^3+(2*x^2))-(2*x)-1))/(x^4+x^3+x^2+x+1)))+(-(1049/25/(x-1)))+(-(57/(x-1)^2))+(-(92/5/(x-1)^4))+(-(16/5/(x-1)^5))+(-14))))))+(1/(x-1)^2)+(1/(x-1)^6))
A257890 = (((-(5/92))*(A000970+(-((-(3*x))+(-(((1/25)*((x^3+(2*x^2))-(2*x)-1))/(x^4+x^3+x^2+x+1)))+(-(1049/25/(x-1)))+(-(57/(x-1)^2))+(-(221/5/(x-1)^3))+(-(16/5/(x-1)^5))+(-14)))))+(1/(x-1)^2)+(1/(x-1)^6))
A257464 = (((-(35/736))*integrate((A000970+(-((-(3*x))+(-(((1/25)*((x^3+(2*x^2))-(2*x)-1))/(x^4+x^3+x^2+x+1)))+(-(1049/25/(x-1)))+(-(57/(x-1)^2))+(-(221/5/(x-1)^3))+(-(16/5/(x-1)^5))+(-14))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257464 = (((-(5/736))*differential((A000970+(-((-(3*x))+(-(((1/25)*((x^3+(2*x^2))-(2*x)-1))/(x^4+x^3+x^2+x+1)))+(-(1049/25/(x-1)))+(-(57/(x-1)^2))+(-(221/5/(x-1)^3))+(-(16/5/(x-1)^5))+(-14))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(7/24/(x-1)^3))+(-(1/2/(x-1)^4)))
A257464 = (((5/32)*(A000970+(-((-(3*x))+(-(((1/25)*((x^3+(2*x^2))-(2*x)-1))/(x^4+x^3+x^2+x+1)))+(-(1049/25/(x-1)))+(-(57/(x-1)^2))+(-(221/5/(x-1)^3))+(-(92/5/(x-1)^4))+(-14)))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(7/24/(x-1)^3))+(-(1/2/(x-1)^4)))
A257890 = (((5/4)*integrate((A000970+(-((-(3*x))+(-(((1/25)*((x^3+(2*x^2))-(2*x)-1))/(x^4+x^3+x^2+x+1)))+(-(1049/25/(x-1)))+(-(57/(x-1)^2))+(-(221/5/(x-1)^3))+(-(92/5/(x-1)^4))+(-14))))))+(1/(x-1)^2)+(1/(x-1)^6))
A257890 = (((1/16)*differential((A000970+(-((-(3*x))+(-(((1/25)*((x^3+(2*x^2))-(2*x)-1))/(x^4+x^3+x^2+x+1)))+(-(1049/25/(x-1)))+(-(57/(x-1)^2))+(-(221/5/(x-1)^3))+(-(92/5/(x-1)^4))+(-14))))))+(1/(x-1)^2)+(1/(x-1)^4))
A257890 = ((1*(A000971+(-((-(((1/3)*x)/(x^6+x^3+1)))+(16/3/(x-1)^5)+(16/3/(x-1)^6)))))+(1/(x-1)^2)+(1/(x-1)^6))
A257464 = (((7/8)*integrate((A000971+(-((-(((1/3)*x)/(x^6+x^3+1)))+(16/3/(x-1)^5)+(16/3/(x-1)^6))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257464 = (((1/8)*differential((A000971+(-((-(((1/3)*x)/(x^6+x^3+1)))+(16/3/(x-1)^5)+(16/3/(x-1)^6))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(7/24/(x-1)^3))+(-(1/2/(x-1)^4)))
A257464 = (((-(3/32))*(A000971+(-((-(((1/3)*x)/(x^6+x^3+1)))+(1/(x-1)^4)+(16/3/(x-1)^6)))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(7/24/(x-1)^3))+(-(1/2/(x-1)^4)))
A257890 = (((-(3/4))*integrate((A000971+(-((-(((1/3)*x)/(x^6+x^3+1)))+(1/(x-1)^4)+(16/3/(x-1)^6))))))+(1/(x-1)^2)+(1/(x-1)^6))
A257890 = (((-(3/80))*differential((A000971+(-((-(((1/3)*x)/(x^6+x^3+1)))+(1/(x-1)^4)+(16/3/(x-1)^6))))))+(1/(x-1)^2)+(1/(x-1)^4))
A257890 = (((3/16)*(A000971+(-((-(((1/3)*x)/(x^6+x^3+1)))+(1/(x-1)^4)+(16/3/(x-1)^5)))))+(1/(x-1)^2)+(1/(x-1)^4))
A257464 = (((15/32)*integrate((A000971+(-((-(((1/3)*x)/(x^6+x^3+1)))+(1/(x-1)^4)+(16/3/(x-1)^5))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(7/24/(x-1)^3))+(-(1/2/(x-1)^4)))
A257201 = (((-(1/16))*differential((A000971+(-((-(((1/3)*x)/(x^6+x^3+1)))+(1/(x-1)^4)+(16/3/(x-1)^5))))))+(1/(x-1)^5)+(2/(x-1)^6)+(1/(x-1)^8))
A257890 = (((-(1/1430))*differential((A000973+(-(x^3+(15*x^2)+(99*x)+(2548/(x-1)^2)+(3164/(x-1)^3)+(2752/(x-1)^4)+(1649/(x-1)^5)+(650/(x-1)^6)+(152/(x-1)^7)+(16/(x-1)^8)+429)))))+(1/(x-1)^4)+(1/(x-1)^6))
A257890 = (((1/2548)*(A000973+(-(x^3+(15*x^2)+(99*x)+(1430/(x-1))+(3164/(x-1)^3)+(2752/(x-1)^4)+(1649/(x-1)^5)+(650/(x-1)^6)+(152/(x-1)^7)+(16/(x-1)^8)+429))))+(1/(x-1)^4)+(1/(x-1)^6))
A257464 = (((1/17472)*differential((A000973+(-(x^3+(15*x^2)+(99*x)+(1430/(x-1))+(3164/(x-1)^3)+(2752/(x-1)^4)+(1649/(x-1)^5)+(650/(x-1)^6)+(152/(x-1)^7)+(16/(x-1)^8)+429)))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257464 = (((-(1/10848))*(A000973+(-(x^3+(15*x^2)+(99*x)+(1430/(x-1))+(2548/(x-1)^2)+(2752/(x-1)^4)+(1649/(x-1)^5)+(650/(x-1)^6)+(152/(x-1)^7)+(16/(x-1)^8)+429))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257890 = (((-(1/1582))*integrate((A000973+(-(x^3+(15*x^2)+(99*x)+(1430/(x-1))+(2548/(x-1)^2)+(2752/(x-1)^4)+(1649/(x-1)^5)+(650/(x-1)^6)+(152/(x-1)^7)+(16/(x-1)^8)+429)))))+(1/(x-1)^4)+(1/(x-1)^6))
A257890 = (((-(1/9492))*differential((A000973+(-(x^3+(15*x^2)+(99*x)+(1430/(x-1))+(2548/(x-1)^2)+(2752/(x-1)^4)+(1649/(x-1)^5)+(650/(x-1)^6)+(152/(x-1)^7)+(16/(x-1)^8)+429)))))+(1/(x-1)^2)+(1/(x-1)^6))
A257890 = (((1/2752)*(A000973+(-(x^3+(15*x^2)+(99*x)+(1430/(x-1))+(2548/(x-1)^2)+(3164/(x-1)^3)+(1649/(x-1)^5)+(650/(x-1)^6)+(152/(x-1)^7)+(16/(x-1)^8)+429))))+(1/(x-1)^2)+(1/(x-1)^6))
A257464 = (((7/22016)*integrate((A000973+(-(x^3+(15*x^2)+(99*x)+(1430/(x-1))+(2548/(x-1)^2)+(3164/(x-1)^3)+(1649/(x-1)^5)+(650/(x-1)^6)+(152/(x-1)^7)+(16/(x-1)^8)+429)))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257464 = (((1/22016)*differential((A000973+(-(x^3+(15*x^2)+(99*x)+(1430/(x-1))+(2548/(x-1)^2)+(3164/(x-1)^3)+(1649/(x-1)^5)+(650/(x-1)^6)+(152/(x-1)^7)+(16/(x-1)^8)+429)))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(7/24/(x-1)^3))+(-(1/2/(x-1)^4)))
A257464 = (((-(1/3298))*(A000973+(-(x^3+(15*x^2)+(99*x)+(1430/(x-1))+(2548/(x-1)^2)+(3164/(x-1)^3)+(2752/(x-1)^4)+(650/(x-1)^6)+(152/(x-1)^7)+(16/(x-1)^8)+429))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(7/24/(x-1)^3))+(-(1/2/(x-1)^4)))
A257890 = (((-(4/1649))*integrate((A000973+(-(x^3+(15*x^2)+(99*x)+(1430/(x-1))+(2548/(x-1)^2)+(3164/(x-1)^3)+(2752/(x-1)^4)+(650/(x-1)^6)+(152/(x-1)^7)+(16/(x-1)^8)+429)))))+(1/(x-1)^2)+(1/(x-1)^6))
A257890 = (((-(1/8245))*differential((A000973+(-(x^3+(15*x^2)+(99*x)+(1430/(x-1))+(2548/(x-1)^2)+(3164/(x-1)^3)+(2752/(x-1)^4)+(650/(x-1)^6)+(152/(x-1)^7)+(16/(x-1)^8)+429)))))+(1/(x-1)^2)+(1/(x-1)^4))
A257890 = (((1/650)*(A000973+(-(x^3+(15*x^2)+(99*x)+(1430/(x-1))+(2548/(x-1)^2)+(3164/(x-1)^3)+(2752/(x-1)^4)+(1649/(x-1)^5)+(152/(x-1)^7)+(16/(x-1)^8)+429))))+(1/(x-1)^2)+(1/(x-1)^4))
A257464 = (((1/260)*integrate((A000973+(-(x^3+(15*x^2)+(99*x)+(1430/(x-1))+(2548/(x-1)^2)+(3164/(x-1)^3)+(2752/(x-1)^4)+(1649/(x-1)^5)+(152/(x-1)^7)+(16/(x-1)^8)+429)))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(7/24/(x-1)^3))+(-(1/2/(x-1)^4)))
A257201 = (((-(1/1950))*differential((A000973+(-(x^3+(15*x^2)+(99*x)+(1430/(x-1))+(2548/(x-1)^2)+(3164/(x-1)^3)+(2752/(x-1)^4)+(1649/(x-1)^5)+(152/(x-1)^7)+(16/(x-1)^8)+429)))))+(1/(x-1)^5)+(2/(x-1)^6)+(1/(x-1)^8))
A257201 = (((1/76)*(A000973+(-(x^3+(15*x^2)+(99*x)+(1430/(x-1))+(2548/(x-1)^2)+(3164/(x-1)^3)+(2752/(x-1)^4)+(1649/(x-1)^5)+(650/(x-1)^6)+(16/(x-1)^8)+429))))+(1/(x-1)^5)+(2/(x-1)^6)+(1/(x-1)^8))
A257890 = (((-(3/76))*integrate((A000973+(-(x^3+(15*x^2)+(99*x)+(1430/(x-1))+(2548/(x-1)^2)+(3164/(x-1)^3)+(2752/(x-1)^4)+(1649/(x-1)^5)+(650/(x-1)^6)+(16/(x-1)^8)+429)))))+(1/(x-1)^2)+(1/(x-1)^4))
A257201 = (((-(1/1064))*differential((A000973+(-(x^3+(15*x^2)+(99*x)+(1430/(x-1))+(2548/(x-1)^2)+(3164/(x-1)^3)+(2752/(x-1)^4)+(1649/(x-1)^5)+(650/(x-1)^6)+(16/(x-1)^8)+429)))))+(1/(x-1)^5)+(2/(x-1)^6)+(2/(x-1)^7))
A257201 = (((1/16)*(A000973+(-(x^3+(15*x^2)+(99*x)+(1430/(x-1))+(2548/(x-1)^2)+(3164/(x-1)^3)+(2752/(x-1)^4)+(1649/(x-1)^5)+(650/(x-1)^6)+(152/(x-1)^7)+429))))+(1/(x-1)^5)+(2/(x-1)^6)+(2/(x-1)^7))
A257201 = (((-(7/8))*integrate((A000973+(-(x^3+(15*x^2)+(99*x)+(1430/(x-1))+(2548/(x-1)^2)+(3164/(x-1)^3)+(2752/(x-1)^4)+(1649/(x-1)^5)+(650/(x-1)^6)+(152/(x-1)^7)+429)))))+(1/(x-1)^5)+(2/(x-1)^6)+(1/(x-1)^8))
A256181 = (((73603/128)*differential((A000973+(-(x^3+(15*x^2)+(99*x)+(1430/(x-1))+(2548/(x-1)^2)+(3164/(x-1)^3)+(2752/(x-1)^4)+(1649/(x-1)^5)+(650/(x-1)^6)+(152/(x-1)^7)+429)))))+(-(1/(x-1)))+(-(3/(x-1)^3))+(-(102/(x-1)^4))+(-(1305/(x-1)^5))+(-(7812/(x-1)^6))+(-(26333/(x-1)^7))+(-(54854/(x-1)^8))+(-(63976/(x-1)^10))+(-(34905/(x-1)^11))+(-(10890/(x-1)^12))+(-(1485/(x-1)^13))+(-1))
A248917 = (((-(9/4))*differential((A000975+(-((-(1/6/(x+1)))+(1/2/(x-1)))))))+(-(1/((2*x)-1)))+(-(1/(x-1)))+(-(2/((2*x)-1)^3)))
A257850 = (((-(3/10))*differential((A000975+(-((-(2/3/((2*x)-1)))+(1/2/(x-1)))))))+(((1/5)*((15*x^3)+(4*x^2)+(8*x)+9))/((((x^4-x^3)+x^2)-x)+1))+(-(-(((1/5)*((11*x^3)+(16*x^2)+(15*x)+8))/(x^4+x^3+x^2+x+1))))+(-(-(((1/2)*((2*x^3)+(2*x^2)+x))/(x^4+x^3+x^2+x+1)^2)))+(-(-(((1/2)*(((2*x^2)-x)+2))/((((x^4-x^3)+x^2)-x)+1)^2)))+(-(1/2/(x+1)))+(-(33/10/(x-1)))+(9/20/(x-1)^2))
A257890 = (((-2)*differential((A000975+(-((-(2/3/((2*x)-1)))+(-(1/6/(x+1))))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257850 = (((-(1/5))*differential((A000982+(-((-(3/4/(x-1)))+(-(3/2/(x-1)^2))+(-(1/(x-1)^3)))))))+(((1/5)*((15*x^3)+(4*x^2)+(8*x)+9))/((((x^4-x^3)+x^2)-x)+1))+(-(-(((1/5)*((11*x^3)+(16*x^2)+(15*x)+8))/(x^4+x^3+x^2+x+1))))+(-(-(((1/2)*((2*x^3)+(2*x^2)+x))/(x^4+x^3+x^2+x+1)^2)))+(-(-(((1/2)*(((2*x^2)-x)+2))/((((x^4-x^3)+x^2)-x)+1)^2)))+(-(1/2/(x+1)))+(-(33/10/(x-1)))+(9/20/(x-1)^2))
A257890 = (((4/3)*differential((A000982+(-((-(1/4/(x+1)))+(-(3/2/(x-1)^2))+(-(1/(x-1)^3)))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257890 = (((-(2/3))*(A000982+(-((-(1/4/(x+1)))+(-(3/4/(x-1)))+(-(1/(x-1)^3))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257464 = (((-(7/72))*differential((A000982+(-((-(1/4/(x+1)))+(-(3/4/(x-1)))+(-(1/(x-1)^3)))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257464 = (((7/24)*(A000982+(-((-(1/4/(x+1)))+(-(3/4/(x-1)))+(-(3/2/(x-1)^2))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257890 = ((2*integrate((A000982+(-((-(1/4/(x+1)))+(-(3/4/(x-1)))+(-(3/2/(x-1)^2)))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257890 = (((1/3)*differential((A000982+(-((-(1/4/(x+1)))+(-(3/4/(x-1)))+(-(3/2/(x-1)^2)))))))+(1/(x-1)^2)+(1/(x-1)^6))
A257850 = (((-(1/5))*differential((A000982+(-((-(3/4/(x-1)))+(-(3/2/(x-1)^2))+(-(1/(x-1)^3)))))))+(((1/5)*((15*x^3)+(4*x^2)+(8*x)+9))/((((x^4-x^3)+x^2)-x)+1))+(-(-(((1/5)*((11*x^3)+(16*x^2)+(15*x)+8))/(x^4+x^3+x^2+x+1))))+(-(-(((1/2)*((2*x^3)+(2*x^2)+x))/(x^4+x^3+x^2+x+1)^2)))+(-(-(((1/2)*(((2*x^2)-x)+2))/((((x^4-x^3)+x^2)-x)+1)^2)))+(-(1/2/(x+1)))+(-(33/10/(x-1)))+(9/20/(x-1)^2))
A257890 = (((4/3)*differential((A000982+(-((-(1/4/(x+1)))+(-(3/2/(x-1)^2))+(-(1/(x-1)^3)))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257890 = (((-(2/3))*(A000982+(-((-(1/4/(x+1)))+(-(3/4/(x-1)))+(-(1/(x-1)^3))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257464 = (((-(7/72))*differential((A000982+(-((-(1/4/(x+1)))+(-(3/4/(x-1)))+(-(1/(x-1)^3)))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257464 = (((7/24)*(A000982+(-((-(1/4/(x+1)))+(-(3/4/(x-1)))+(-(3/2/(x-1)^2))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257890 = ((2*integrate((A000982+(-((-(1/4/(x+1)))+(-(3/4/(x-1)))+(-(3/2/(x-1)^2)))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257890 = (((1/3)*differential((A000982+(-((-(1/4/(x+1)))+(-(3/4/(x-1)))+(-(3/2/(x-1)^2)))))))+(1/(x-1)^2)+(1/(x-1)^6))
A253487 = (((-2)*differential(A000984))+((((-(4*x))+1)^(3/2)-1)/(x^2*((-(4*x))+1)^(3/2)))+(6/(x*((-(4*x))+1)^(3/2))))
A255381 = (((729/625)*differential((A000993+(-((-(5/72/((5*x)+1)))+(-(5/8/((5*x)-1)))+(-(1/36/((2*x)+1)))+(-(1/8/((2*x)-1)))+(-(3/8/(x+1)))+(-(83/72/(x-1)))+(-(1/2)))))))+(-(9/50/((10*x)-1)))+(1/100))
A204240 = (((-(648/625))*differential((A000993+(-((-(5/72/((10*x)-1)))+(-(5/8/((5*x)-1)))+(-(1/36/((2*x)+1)))+(-(1/8/((2*x)-1)))+(-(3/8/(x+1)))+(-(83/72/(x-1)))+(-(1/2)))))))+(13/25/((5*x)+1))+(-(4/25)))
A241874 = (((3/250)*differential((A000993+(-((-(5/72/((10*x)-1)))+(-(5/72/((5*x)+1)))+(-(1/36/((2*x)+1)))+(-(1/8/((2*x)-1)))+(-(3/8/(x+1)))+(-(83/72/(x-1)))+(-(1/2)))))))+(-(4/125/((6*x)-1)))+(-(-(-(9/160/((5*x)-1)))))+(-(-(-(1/24/((4*x)-1)))))+(-(-(5/288/((3*x)-1))))+(-(-(3/32/((2*x)-1))))+(-(-(593/6000/(x-1))))+(-(-(5/54/((4*x)-1)^2)))+(-(-(13/144/((3*x)-1)^2)))+(-(1/16/((2*x)-1)^2))+(-(923/10800/(x-1)^2))+(-(1/24/((4*x)-1)^3))+(-(17/144/((3*x)-1)^3))+(-(1/16/((2*x)-1)^3))+(-(19/720/(x-1)^3))+(-(1/24/((3*x)-1)^4))+(-(3/32/((2*x)-1)^4))+(-(1/32/((2*x)-1)^5))+(-(3/160)))
A232602 = (((-44)*differential((A000993+(-((-(5/72/((10*x)-1)))+(-(5/72/((5*x)+1)))+(-(5/8/((5*x)-1)))+(-(1/8/((2*x)-1)))+(-(3/8/(x+1)))+(-(83/72/(x-1)))+(-(1/2)))))))+(4/27/((2*x)+1))+(-(-(2/27/(x-1))))+(-(20/3/((2*x)+1)^3))+(4/((2*x)+1)^4))
A248917 = (((-12)*differential((A000993+(-((-(5/72/((10*x)-1)))+(-(5/72/((5*x)+1)))+(-(5/8/((5*x)-1)))+(-(1/36/((2*x)+1)))+(-(3/8/(x+1)))+(-(83/72/(x-1)))+(-(1/2)))))))+(-(1/((2*x)-1)))+(-(1/(x-1)))+(-(2/((2*x)-1)^3)))
A257850 = (((-(2/15))*differential((A000993+(-((-(5/72/((10*x)-1)))+(-(5/72/((5*x)+1)))+(-(5/8/((5*x)-1)))+(-(1/36/((2*x)+1)))+(-(1/8/((2*x)-1)))+(-(83/72/(x-1)))+(-(1/2)))))))+(((1/5)*((15*x^3)+(4*x^2)+(8*x)+9))/((((x^4-x^3)+x^2)-x)+1))+(-(-(((1/5)*((11*x^3)+(16*x^2)+(15*x)+8))/(x^4+x^3+x^2+x+1))))+(-(-(((1/2)*((2*x^3)+(2*x^2)+x))/(x^4+x^3+x^2+x+1)^2)))+(-(-(((1/2)*(((2*x^2)-x)+2))/((((x^4-x^3)+x^2)-x)+1)^2)))+(-(1/2/(x+1)))+(-(33/10/(x-1)))+(9/20/(x-1)^2))
A257890 = (((72/83)*differential((A000993+(-((-(5/72/((10*x)-1)))+(-(5/72/((5*x)+1)))+(-(5/8/((5*x)-1)))+(-(1/36/((2*x)+1)))+(-(1/8/((2*x)-1)))+(-(3/8/(x+1)))+(-(1/2)))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257890 = ((1*differential((A001014+(-((-(63/(x-1)^2))+(-(602/(x-1)^3))+(-(2100/(x-1)^4))+(-(3360/(x-1)^5))+(-(2520/(x-1)^6))+(-(720/(x-1)^7)))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257890 = (((-(1/63))*(A001014+(-((-(1/(x-1)))+(-(602/(x-1)^3))+(-(2100/(x-1)^4))+(-(3360/(x-1)^5))+(-(2520/(x-1)^6))+(-(720/(x-1)^7))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257464 = (((-(1/432))*differential((A001014+(-((-(1/(x-1)))+(-(602/(x-1)^3))+(-(2100/(x-1)^4))+(-(3360/(x-1)^5))+(-(2520/(x-1)^6))+(-(720/(x-1)^7)))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257464 = (((1/2064)*(A001014+(-((-(1/(x-1)))+(-(63/(x-1)^2))+(-(2100/(x-1)^4))+(-(3360/(x-1)^5))+(-(2520/(x-1)^6))+(-(720/(x-1)^7))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257890 = (((1/301)*integrate((A001014+(-((-(1/(x-1)))+(-(63/(x-1)^2))+(-(2100/(x-1)^4))+(-(3360/(x-1)^5))+(-(2520/(x-1)^6))+(-(720/(x-1)^7)))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257890 = (((1/1806)*differential((A001014+(-((-(1/(x-1)))+(-(63/(x-1)^2))+(-(2100/(x-1)^4))+(-(3360/(x-1)^5))+(-(2520/(x-1)^6))+(-(720/(x-1)^7)))))))+(1/(x-1)^2)+(1/(x-1)^6))
A257890 = (((-(1/2100))*(A001014+(-((-(1/(x-1)))+(-(63/(x-1)^2))+(-(602/(x-1)^3))+(-(3360/(x-1)^5))+(-(2520/(x-1)^6))+(-(720/(x-1)^7))))))+(1/(x-1)^2)+(1/(x-1)^6))
A257464 = (((-(1/2400))*integrate((A001014+(-((-(1/(x-1)))+(-(63/(x-1)^2))+(-(602/(x-1)^3))+(-(3360/(x-1)^5))+(-(2520/(x-1)^6))+(-(720/(x-1)^7)))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257464 = (((-(1/16800))*differential((A001014+(-((-(1/(x-1)))+(-(63/(x-1)^2))+(-(602/(x-1)^3))+(-(3360/(x-1)^5))+(-(2520/(x-1)^6))+(-(720/(x-1)^7)))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(7/24/(x-1)^3))+(-(1/2/(x-1)^4)))
A257464 = (((1/6720)*(A001014+(-((-(1/(x-1)))+(-(63/(x-1)^2))+(-(602/(x-1)^3))+(-(2100/(x-1)^4))+(-(2520/(x-1)^6))+(-(720/(x-1)^7))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(7/24/(x-1)^3))+(-(1/2/(x-1)^4)))
A257890 = (((1/840)*integrate((A001014+(-((-(1/(x-1)))+(-(63/(x-1)^2))+(-(602/(x-1)^3))+(-(2100/(x-1)^4))+(-(2520/(x-1)^6))+(-(720/(x-1)^7)))))))+(1/(x-1)^2)+(1/(x-1)^6))
A257890 = (((1/16800)*differential((A001014+(-((-(1/(x-1)))+(-(63/(x-1)^2))+(-(602/(x-1)^3))+(-(2100/(x-1)^4))+(-(2520/(x-1)^6))+(-(720/(x-1)^7)))))))+(1/(x-1)^2)+(1/(x-1)^4))
A257890 = (((-(1/2520))*(A001014+(-((-(1/(x-1)))+(-(63/(x-1)^2))+(-(602/(x-1)^3))+(-(2100/(x-1)^4))+(-(3360/(x-1)^5))+(-(720/(x-1)^7))))))+(1/(x-1)^2)+(1/(x-1)^4))
A257464 = (((-(1/1008))*integrate((A001014+(-((-(1/(x-1)))+(-(63/(x-1)^2))+(-(602/(x-1)^3))+(-(2100/(x-1)^4))+(-(3360/(x-1)^5))+(-(720/(x-1)^7)))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(7/24/(x-1)^3))+(-(1/2/(x-1)^4)))
A257201 = (((1/7560)*differential((A001014+(-((-(1/(x-1)))+(-(63/(x-1)^2))+(-(602/(x-1)^3))+(-(2100/(x-1)^4))+(-(3360/(x-1)^5))+(-(720/(x-1)^7)))))))+(1/(x-1)^5)+(2/(x-1)^6)+(1/(x-1)^8))
A257201 = (((-(1/360))*(A001014+(-((-(1/(x-1)))+(-(63/(x-1)^2))+(-(602/(x-1)^3))+(-(2100/(x-1)^4))+(-(3360/(x-1)^5))+(-(2520/(x-1)^6))))))+(1/(x-1)^5)+(2/(x-1)^6)+(1/(x-1)^8))
A257890 = (((1/120)*integrate((A001014+(-((-(1/(x-1)))+(-(63/(x-1)^2))+(-(602/(x-1)^3))+(-(2100/(x-1)^4))+(-(3360/(x-1)^5))+(-(2520/(x-1)^6)))))))+(1/(x-1)^2)+(1/(x-1)^4))
A257201 = (((1/5040)*differential((A001014+(-((-(1/(x-1)))+(-(63/(x-1)^2))+(-(602/(x-1)^3))+(-(2100/(x-1)^4))+(-(3360/(x-1)^5))+(-(2520/(x-1)^6)))))))+(1/(x-1)^5)+(2/(x-1)^6)+(2/(x-1)^7))
A257890 = ((1*differential((A001016+(-((-(255/(x-1)^2))+(-(6050/(x-1)^3))+(-(46620/(x-1)^4))+(-(166824/(x-1)^5))+(-(317520/(x-1)^6))+(-(332640/(x-1)^7))+(-(181440/(x-1)^8))+(-(40320/(x-1)^9)))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257890 = (((-(1/255))*(A001016+(-((-(1/(x-1)))+(-(6050/(x-1)^3))+(-(46620/(x-1)^4))+(-(166824/(x-1)^5))+(-(317520/(x-1)^6))+(-(332640/(x-1)^7))+(-(181440/(x-1)^8))+(-(40320/(x-1)^9))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257464 = (((-(7/12240))*differential((A001016+(-((-(1/(x-1)))+(-(6050/(x-1)^3))+(-(46620/(x-1)^4))+(-(166824/(x-1)^5))+(-(317520/(x-1)^6))+(-(332640/(x-1)^7))+(-(181440/(x-1)^8))+(-(40320/(x-1)^9)))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257464 = (((7/145200)*(A001016+(-((-(1/(x-1)))+(-(255/(x-1)^2))+(-(46620/(x-1)^4))+(-(166824/(x-1)^5))+(-(317520/(x-1)^6))+(-(332640/(x-1)^7))+(-(181440/(x-1)^8))+(-(40320/(x-1)^9))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257890 = (((1/3025)*integrate((A001016+(-((-(1/(x-1)))+(-(255/(x-1)^2))+(-(46620/(x-1)^4))+(-(166824/(x-1)^5))+(-(317520/(x-1)^6))+(-(332640/(x-1)^7))+(-(181440/(x-1)^8))+(-(40320/(x-1)^9)))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257890 = (((1/18150)*differential((A001016+(-((-(1/(x-1)))+(-(255/(x-1)^2))+(-(46620/(x-1)^4))+(-(166824/(x-1)^5))+(-(317520/(x-1)^6))+(-(332640/(x-1)^7))+(-(181440/(x-1)^8))+(-(40320/(x-1)^9)))))))+(1/(x-1)^2)+(1/(x-1)^6))
A257890 = (((-(1/46620))*(A001016+(-((-(1/(x-1)))+(-(255/(x-1)^2))+(-(6050/(x-1)^3))+(-(166824/(x-1)^5))+(-(317520/(x-1)^6))+(-(332640/(x-1)^7))+(-(181440/(x-1)^8))+(-(40320/(x-1)^9))))))+(1/(x-1)^2)+(1/(x-1)^6))
A257464 = (((-(1/53280))*integrate((A001016+(-((-(1/(x-1)))+(-(255/(x-1)^2))+(-(6050/(x-1)^3))+(-(166824/(x-1)^5))+(-(317520/(x-1)^6))+(-(332640/(x-1)^7))+(-(181440/(x-1)^8))+(-(40320/(x-1)^9)))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257464 = (((-(1/372960))*differential((A001016+(-((-(1/(x-1)))+(-(255/(x-1)^2))+(-(6050/(x-1)^3))+(-(166824/(x-1)^5))+(-(317520/(x-1)^6))+(-(332640/(x-1)^7))+(-(181440/(x-1)^8))+(-(40320/(x-1)^9)))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(7/24/(x-1)^3))+(-(1/2/(x-1)^4)))
A257464 = (((1/333648)*(A001016+(-((-(1/(x-1)))+(-(255/(x-1)^2))+(-(6050/(x-1)^3))+(-(46620/(x-1)^4))+(-(317520/(x-1)^6))+(-(332640/(x-1)^7))+(-(181440/(x-1)^8))+(-(40320/(x-1)^9))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(7/24/(x-1)^3))+(-(1/2/(x-1)^4)))
A257890 = (((1/41706)*integrate((A001016+(-((-(1/(x-1)))+(-(255/(x-1)^2))+(-(6050/(x-1)^3))+(-(46620/(x-1)^4))+(-(317520/(x-1)^6))+(-(332640/(x-1)^7))+(-(181440/(x-1)^8))+(-(40320/(x-1)^9)))))))+(1/(x-1)^2)+(1/(x-1)^6))
A257890 = (((1/834120)*differential((A001016+(-((-(1/(x-1)))+(-(255/(x-1)^2))+(-(6050/(x-1)^3))+(-(46620/(x-1)^4))+(-(317520/(x-1)^6))+(-(332640/(x-1)^7))+(-(181440/(x-1)^8))+(-(40320/(x-1)^9)))))))+(1/(x-1)^2)+(1/(x-1)^4))
A257890 = (((-(1/317520))*(A001016+(-((-(1/(x-1)))+(-(255/(x-1)^2))+(-(6050/(x-1)^3))+(-(46620/(x-1)^4))+(-(166824/(x-1)^5))+(-(332640/(x-1)^7))+(-(181440/(x-1)^8))+(-(40320/(x-1)^9))))))+(1/(x-1)^2)+(1/(x-1)^4))
A257464 = (((-(1/127008))*integrate((A001016+(-((-(1/(x-1)))+(-(255/(x-1)^2))+(-(6050/(x-1)^3))+(-(46620/(x-1)^4))+(-(166824/(x-1)^5))+(-(332640/(x-1)^7))+(-(181440/(x-1)^8))+(-(40320/(x-1)^9)))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(7/24/(x-1)^3))+(-(1/2/(x-1)^4)))
A257201 = (((1/952560)*differential((A001016+(-((-(1/(x-1)))+(-(255/(x-1)^2))+(-(6050/(x-1)^3))+(-(46620/(x-1)^4))+(-(166824/(x-1)^5))+(-(332640/(x-1)^7))+(-(181440/(x-1)^8))+(-(40320/(x-1)^9)))))))+(1/(x-1)^5)+(2/(x-1)^6)+(1/(x-1)^8))
A257201 = (((-(1/166320))*(A001016+(-((-(1/(x-1)))+(-(255/(x-1)^2))+(-(6050/(x-1)^3))+(-(46620/(x-1)^4))+(-(166824/(x-1)^5))+(-(317520/(x-1)^6))+(-(181440/(x-1)^8))+(-(40320/(x-1)^9))))))+(1/(x-1)^5)+(2/(x-1)^6)+(1/(x-1)^8))
A257890 = (((1/55440)*integrate((A001016+(-((-(1/(x-1)))+(-(255/(x-1)^2))+(-(6050/(x-1)^3))+(-(46620/(x-1)^4))+(-(166824/(x-1)^5))+(-(317520/(x-1)^6))+(-(181440/(x-1)^8))+(-(40320/(x-1)^9)))))))+(1/(x-1)^2)+(1/(x-1)^4))
A257201 = (((1/2328480)*differential((A001016+(-((-(1/(x-1)))+(-(255/(x-1)^2))+(-(6050/(x-1)^3))+(-(46620/(x-1)^4))+(-(166824/(x-1)^5))+(-(317520/(x-1)^6))+(-(181440/(x-1)^8))+(-(40320/(x-1)^9)))))))+(1/(x-1)^5)+(2/(x-1)^6)+(2/(x-1)^7))
A257201 = (((-(1/181440))*(A001016+(-((-(1/(x-1)))+(-(255/(x-1)^2))+(-(6050/(x-1)^3))+(-(46620/(x-1)^4))+(-(166824/(x-1)^5))+(-(317520/(x-1)^6))+(-(332640/(x-1)^7))+(-(40320/(x-1)^9))))))+(1/(x-1)^5)+(2/(x-1)^6)+(2/(x-1)^7))
A257201 = (((1/12960)*integrate((A001016+(-((-(1/(x-1)))+(-(255/(x-1)^2))+(-(6050/(x-1)^3))+(-(46620/(x-1)^4))+(-(166824/(x-1)^5))+(-(317520/(x-1)^6))+(-(332640/(x-1)^7))+(-(40320/(x-1)^9)))))))+(1/(x-1)^5)+(2/(x-1)^6)+(1/(x-1)^8))
A256181 = (((-(73603/1451520))*differential((A001016+(-((-(1/(x-1)))+(-(255/(x-1)^2))+(-(6050/(x-1)^3))+(-(46620/(x-1)^4))+(-(166824/(x-1)^5))+(-(317520/(x-1)^6))+(-(332640/(x-1)^7))+(-(40320/(x-1)^9)))))))+(-(1/(x-1)))+(-(3/(x-1)^3))+(-(102/(x-1)^4))+(-(1305/(x-1)^5))+(-(7812/(x-1)^6))+(-(26333/(x-1)^7))+(-(54854/(x-1)^8))+(-(63976/(x-1)^10))+(-(34905/(x-1)^11))+(-(10890/(x-1)^12))+(-(1485/(x-1)^13))+(-1))
A256181 = (((73603/40320)*(A001016+(-((-(1/(x-1)))+(-(255/(x-1)^2))+(-(6050/(x-1)^3))+(-(46620/(x-1)^4))+(-(166824/(x-1)^5))+(-(317520/(x-1)^6))+(-(332640/(x-1)^7))+(-(181440/(x-1)^8))))))+(-(1/(x-1)))+(-(3/(x-1)^3))+(-(102/(x-1)^4))+(-(1305/(x-1)^5))+(-(7812/(x-1)^6))+(-(26333/(x-1)^7))+(-(54854/(x-1)^8))+(-(63976/(x-1)^10))+(-(34905/(x-1)^11))+(-(10890/(x-1)^12))+(-(1485/(x-1)^13))+(-1))
A257201 = (((1/5040)*integrate((A001016+(-((-(1/(x-1)))+(-(255/(x-1)^2))+(-(6050/(x-1)^3))+(-(46620/(x-1)^4))+(-(166824/(x-1)^5))+(-(317520/(x-1)^6))+(-(332640/(x-1)^7))+(-(181440/(x-1)^8)))))))+(1/(x-1)^5)+(2/(x-1)^6)+(2/(x-1)^7))
A256181 = (((-(7997/45360))*differential((A001016+(-((-(1/(x-1)))+(-(255/(x-1)^2))+(-(6050/(x-1)^3))+(-(46620/(x-1)^4))+(-(166824/(x-1)^5))+(-(317520/(x-1)^6))+(-(332640/(x-1)^7))+(-(181440/(x-1)^8)))))))+(-(1/(x-1)))+(-(3/(x-1)^3))+(-(102/(x-1)^4))+(-(1305/(x-1)^5))+(-(7812/(x-1)^6))+(-(26333/(x-1)^7))+(-(54854/(x-1)^8))+(-(73603/(x-1)^9))+(-(34905/(x-1)^11))+(-(10890/(x-1)^12))+(-(1485/(x-1)^13))+(-1))
A257890 = (((-1)*differential((A001017+(-((511/(x-1)^2)+(18660/(x-1)^3)+(204630/(x-1)^4)+(1020600/(x-1)^5)+(2739240/(x-1)^6)+(4233600/(x-1)^7)+(3780000/(x-1)^8)+(1814400/(x-1)^9)+(362880/(x-1)^10))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257890 = (((1/511)*(A001017+(-((1/(x-1))+(18660/(x-1)^3)+(204630/(x-1)^4)+(1020600/(x-1)^5)+(2739240/(x-1)^6)+(4233600/(x-1)^7)+(3780000/(x-1)^8)+(1814400/(x-1)^9)+(362880/(x-1)^10)))))+(1/(x-1)^4)+(1/(x-1)^6))
A257464 = (((1/3504)*differential((A001017+(-((1/(x-1))+(18660/(x-1)^3)+(204630/(x-1)^4)+(1020600/(x-1)^5)+(2739240/(x-1)^6)+(4233600/(x-1)^7)+(3780000/(x-1)^8)+(1814400/(x-1)^9)+(362880/(x-1)^10))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257464 = (((-(7/447840))*(A001017+(-((1/(x-1))+(511/(x-1)^2)+(204630/(x-1)^4)+(1020600/(x-1)^5)+(2739240/(x-1)^6)+(4233600/(x-1)^7)+(3780000/(x-1)^8)+(1814400/(x-1)^9)+(362880/(x-1)^10)))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257890 = (((-(1/9330))*integrate((A001017+(-((1/(x-1))+(511/(x-1)^2)+(204630/(x-1)^4)+(1020600/(x-1)^5)+(2739240/(x-1)^6)+(4233600/(x-1)^7)+(3780000/(x-1)^8)+(1814400/(x-1)^9)+(362880/(x-1)^10))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257890 = (((-(1/55980))*differential((A001017+(-((1/(x-1))+(511/(x-1)^2)+(204630/(x-1)^4)+(1020600/(x-1)^5)+(2739240/(x-1)^6)+(4233600/(x-1)^7)+(3780000/(x-1)^8)+(1814400/(x-1)^9)+(362880/(x-1)^10))))))+(1/(x-1)^2)+(1/(x-1)^6))
A257890 = (((1/204630)*(A001017+(-((1/(x-1))+(511/(x-1)^2)+(18660/(x-1)^3)+(1020600/(x-1)^5)+(2739240/(x-1)^6)+(4233600/(x-1)^7)+(3780000/(x-1)^8)+(1814400/(x-1)^9)+(362880/(x-1)^10)))))+(1/(x-1)^2)+(1/(x-1)^6))
A257464 = (((7/1637040)*integrate((A001017+(-((1/(x-1))+(511/(x-1)^2)+(18660/(x-1)^3)+(1020600/(x-1)^5)+(2739240/(x-1)^6)+(4233600/(x-1)^7)+(3780000/(x-1)^8)+(1814400/(x-1)^9)+(362880/(x-1)^10))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257464 = (((1/1637040)*differential((A001017+(-((1/(x-1))+(511/(x-1)^2)+(18660/(x-1)^3)+(1020600/(x-1)^5)+(2739240/(x-1)^6)+(4233600/(x-1)^7)+(3780000/(x-1)^8)+(1814400/(x-1)^9)+(362880/(x-1)^10))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(7/24/(x-1)^3))+(-(1/2/(x-1)^4)))
A257464 = (((-(1/2041200))*(A001017+(-((1/(x-1))+(511/(x-1)^2)+(18660/(x-1)^3)+(204630/(x-1)^4)+(2739240/(x-1)^6)+(4233600/(x-1)^7)+(3780000/(x-1)^8)+(1814400/(x-1)^9)+(362880/(x-1)^10)))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(7/24/(x-1)^3))+(-(1/2/(x-1)^4)))
A257890 = (((-(1/255150))*integrate((A001017+(-((1/(x-1))+(511/(x-1)^2)+(18660/(x-1)^3)+(204630/(x-1)^4)+(2739240/(x-1)^6)+(4233600/(x-1)^7)+(3780000/(x-1)^8)+(1814400/(x-1)^9)+(362880/(x-1)^10))))))+(1/(x-1)^2)+(1/(x-1)^6))
A257890 = (((-(1/5103000))*differential((A001017+(-((1/(x-1))+(511/(x-1)^2)+(18660/(x-1)^3)+(204630/(x-1)^4)+(2739240/(x-1)^6)+(4233600/(x-1)^7)+(3780000/(x-1)^8)+(1814400/(x-1)^9)+(362880/(x-1)^10))))))+(1/(x-1)^2)+(1/(x-1)^4))
A257890 = (((1/2739240)*(A001017+(-((1/(x-1))+(511/(x-1)^2)+(18660/(x-1)^3)+(204630/(x-1)^4)+(1020600/(x-1)^5)+(4233600/(x-1)^7)+(3780000/(x-1)^8)+(1814400/(x-1)^9)+(362880/(x-1)^10)))))+(1/(x-1)^2)+(1/(x-1)^4))
A257464 = (((1/1095696)*integrate((A001017+(-((1/(x-1))+(511/(x-1)^2)+(18660/(x-1)^3)+(204630/(x-1)^4)+(1020600/(x-1)^5)+(4233600/(x-1)^7)+(3780000/(x-1)^8)+(1814400/(x-1)^9)+(362880/(x-1)^10))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(7/24/(x-1)^3))+(-(1/2/(x-1)^4)))
A257201 = (((-(1/8217720))*differential((A001017+(-((1/(x-1))+(511/(x-1)^2)+(18660/(x-1)^3)+(204630/(x-1)^4)+(1020600/(x-1)^5)+(4233600/(x-1)^7)+(3780000/(x-1)^8)+(1814400/(x-1)^9)+(362880/(x-1)^10))))))+(1/(x-1)^5)+(2/(x-1)^6)+(1/(x-1)^8))
A257201 = (((1/2116800)*(A001017+(-((1/(x-1))+(511/(x-1)^2)+(18660/(x-1)^3)+(204630/(x-1)^4)+(1020600/(x-1)^5)+(2739240/(x-1)^6)+(3780000/(x-1)^8)+(1814400/(x-1)^9)+(362880/(x-1)^10)))))+(1/(x-1)^5)+(2/(x-1)^6)+(1/(x-1)^8))
A257890 = (((-(1/705600))*integrate((A001017+(-((1/(x-1))+(511/(x-1)^2)+(18660/(x-1)^3)+(204630/(x-1)^4)+(1020600/(x-1)^5)+(2739240/(x-1)^6)+(3780000/(x-1)^8)+(1814400/(x-1)^9)+(362880/(x-1)^10))))))+(1/(x-1)^2)+(1/(x-1)^4))
A257201 = (((-(1/29635200))*differential((A001017+(-((1/(x-1))+(511/(x-1)^2)+(18660/(x-1)^3)+(204630/(x-1)^4)+(1020600/(x-1)^5)+(2739240/(x-1)^6)+(3780000/(x-1)^8)+(1814400/(x-1)^9)+(362880/(x-1)^10))))))+(1/(x-1)^5)+(2/(x-1)^6)+(2/(x-1)^7))
A257201 = (((1/3780000)*(A001017+(-((1/(x-1))+(511/(x-1)^2)+(18660/(x-1)^3)+(204630/(x-1)^4)+(1020600/(x-1)^5)+(2739240/(x-1)^6)+(4233600/(x-1)^7)+(1814400/(x-1)^9)+(362880/(x-1)^10)))))+(1/(x-1)^5)+(2/(x-1)^6)+(2/(x-1)^7))
A257201 = (((-(1/270000))*integrate((A001017+(-((1/(x-1))+(511/(x-1)^2)+(18660/(x-1)^3)+(204630/(x-1)^4)+(1020600/(x-1)^5)+(2739240/(x-1)^6)+(4233600/(x-1)^7)+(1814400/(x-1)^9)+(362880/(x-1)^10))))))+(1/(x-1)^5)+(2/(x-1)^6)+(1/(x-1)^8))
A256181 = (((73603/30240000)*differential((A001017+(-((1/(x-1))+(511/(x-1)^2)+(18660/(x-1)^3)+(204630/(x-1)^4)+(1020600/(x-1)^5)+(2739240/(x-1)^6)+(4233600/(x-1)^7)+(1814400/(x-1)^9)+(362880/(x-1)^10))))))+(-(1/(x-1)))+(-(3/(x-1)^3))+(-(102/(x-1)^4))+(-(1305/(x-1)^5))+(-(7812/(x-1)^6))+(-(26333/(x-1)^7))+(-(54854/(x-1)^8))+(-(63976/(x-1)^10))+(-(34905/(x-1)^11))+(-(10890/(x-1)^12))+(-(1485/(x-1)^13))+(-1))
A256181 = (((-(73603/1814400))*(A001017+(-((1/(x-1))+(511/(x-1)^2)+(18660/(x-1)^3)+(204630/(x-1)^4)+(1020600/(x-1)^5)+(2739240/(x-1)^6)+(4233600/(x-1)^7)+(3780000/(x-1)^8)+(362880/(x-1)^10)))))+(-(1/(x-1)))+(-(3/(x-1)^3))+(-(102/(x-1)^4))+(-(1305/(x-1)^5))+(-(7812/(x-1)^6))+(-(26333/(x-1)^7))+(-(54854/(x-1)^8))+(-(63976/(x-1)^10))+(-(34905/(x-1)^11))+(-(10890/(x-1)^12))+(-(1485/(x-1)^13))+(-1))
A257201 = (((-(1/226800))*integrate((A001017+(-((1/(x-1))+(511/(x-1)^2)+(18660/(x-1)^3)+(204630/(x-1)^4)+(1020600/(x-1)^5)+(2739240/(x-1)^6)+(4233600/(x-1)^7)+(3780000/(x-1)^8)+(362880/(x-1)^10))))))+(1/(x-1)^5)+(2/(x-1)^6)+(2/(x-1)^7))
A256181 = (((7997/2041200)*differential((A001017+(-((1/(x-1))+(511/(x-1)^2)+(18660/(x-1)^3)+(204630/(x-1)^4)+(1020600/(x-1)^5)+(2739240/(x-1)^6)+(4233600/(x-1)^7)+(3780000/(x-1)^8)+(362880/(x-1)^10))))))+(-(1/(x-1)))+(-(3/(x-1)^3))+(-(102/(x-1)^4))+(-(1305/(x-1)^5))+(-(7812/(x-1)^6))+(-(26333/(x-1)^7))+(-(54854/(x-1)^8))+(-(73603/(x-1)^9))+(-(34905/(x-1)^11))+(-(10890/(x-1)^12))+(-(1485/(x-1)^13))+(-1))
A256181 = (((-(7997/45360))*(A001017+(-((1/(x-1))+(511/(x-1)^2)+(18660/(x-1)^3)+(204630/(x-1)^4)+(1020600/(x-1)^5)+(2739240/(x-1)^6)+(4233600/(x-1)^7)+(3780000/(x-1)^8)+(1814400/(x-1)^9)))))+(-(1/(x-1)))+(-(3/(x-1)^3))+(-(102/(x-1)^4))+(-(1305/(x-1)^5))+(-(7812/(x-1)^6))+(-(26333/(x-1)^7))+(-(54854/(x-1)^8))+(-(73603/(x-1)^9))+(-(34905/(x-1)^11))+(-(10890/(x-1)^12))+(-(1485/(x-1)^13))+(-1))
A256181 = (((73603/40320)*integrate((A001017+(-((1/(x-1))+(511/(x-1)^2)+(18660/(x-1)^3)+(204630/(x-1)^4)+(1020600/(x-1)^5)+(2739240/(x-1)^6)+(4233600/(x-1)^7)+(3780000/(x-1)^8)+(1814400/(x-1)^9))))))+(-(1/(x-1)))+(-(3/(x-1)^3))+(-(102/(x-1)^4))+(-(1305/(x-1)^5))+(-(7812/(x-1)^6))+(-(26333/(x-1)^7))+(-(54854/(x-1)^8))+(-(63976/(x-1)^10))+(-(34905/(x-1)^11))+(-(10890/(x-1)^12))+(-(1485/(x-1)^13))+(-1))
A256181 = (((2327/241920)*differential((A001017+(-((1/(x-1))+(511/(x-1)^2)+(18660/(x-1)^3)+(204630/(x-1)^4)+(1020600/(x-1)^5)+(2739240/(x-1)^6)+(4233600/(x-1)^7)+(3780000/(x-1)^8)+(1814400/(x-1)^9))))))+(-(1/(x-1)))+(-(3/(x-1)^3))+(-(102/(x-1)^4))+(-(1305/(x-1)^5))+(-(7812/(x-1)^6))+(-(26333/(x-1)^7))+(-(54854/(x-1)^8))+(-(73603/(x-1)^9))+(-(63976/(x-1)^10))+(-(10890/(x-1)^12))+(-(1485/(x-1)^13))+(-1))
A230539 = (((3/16)*differential(A001018))+(3/2/((8*x)-1)))
A230540 = (((2/27)*differential(A001019))+(2/3/((9*x)-1)))
A098880 = (((2047/11)*differential(A001020))+(1/((11*x)-1))+(173052/((11*x)-1)^3)+(3669006/((11*x)-1)^4)+(33105600/((11*x)-1)^5)+(158838240/((11*x)-1)^6)+(451725120/((11*x)-1)^7)+(801496080/((11*x)-1)^8)+(898128000/((11*x)-1)^9)+(618710400/((11*x)-1)^10)+(239500800/((11*x)-1)^11)+(39916800/((11*x)-1)^12))
A014928 = (((1/156)*differential(A001022))+(13/144/((13*x)-1))+(-(1/144/(x-1))))
A239739 = (((1/4)*differential(A001025))+(4/((16*x)-1)))
A014934 = (((1/272)*differential(A001026))+(17/256/((17*x)-1))+(-(1/256/(x-1))))
A092135 = (((-(41/1341))*differential(A001027))+(-(((12/22201)*((9373*x)-277))/(((12*x^2)-(118*x))+1)))+(-(8894/22201/((18*x)-1))))
A248917 = (((-(9/2))*differential((A001045+(-(-(1/3/(x+1)))))))+(-(1/((2*x)-1)))+(-(1/(x-1)))+(-(2/((2*x)-1)^3)))
A257850 = (((-(3/20))*differential((A001045+(-(-(1/3/((2*x)-1)))))))+(((1/5)*((15*x^3)+(4*x^2)+(8*x)+9))/((((x^4-x^3)+x^2)-x)+1))+(-(-(((1/5)*((11*x^3)+(16*x^2)+(15*x)+8))/(x^4+x^3+x^2+x+1))))+(-(-(((1/2)*((2*x^3)+(2*x^2)+x))/(x^4+x^3+x^2+x+1)^2)))+(-(-(((1/2)*(((2*x^2)-x)+2))/((((x^4-x^3)+x^2)-x)+1)^2)))+(-(1/2/(x+1)))+(-(33/10/(x-1)))+(9/20/(x-1)^2))
A248917 = (((-(9/2))*differential((A001045+(-(-(1/3/(x+1)))))))+(-(1/((2*x)-1)))+(-(1/(x-1)))+(-(2/((2*x)-1)^3)))
A257850 = (((-(3/20))*differential((A001045+(-(-(1/3/((2*x)-1)))))))+(((1/5)*((15*x^3)+(4*x^2)+(8*x)+9))/((((x^4-x^3)+x^2)-x)+1))+(-(-(((1/5)*((11*x^3)+(16*x^2)+(15*x)+8))/(x^4+x^3+x^2+x+1))))+(-(-(((1/2)*((2*x^3)+(2*x^2)+x))/(x^4+x^3+x^2+x+1)^2)))+(-(-(((1/2)*(((2*x^2)-x)+2))/((((x^4-x^3)+x^2)-x)+1)^2)))+(-(1/2/(x+1)))+(-(33/10/(x-1)))+(9/20/(x-1)^2))
A248088 = (((1/6)*differential((A001047+(-(1/((2*x)-1))))))+(((1/6)*((2*x)+1))/((3*x^2)+(2*x)+1))+(-(1/3/((3*x)-1))))
A248917 = (((3/2)*differential((A001047+(-(-(1/((3*x)-1)))))))+(-(1/((2*x)-1)))+(-(1/(x-1)))+(-(2/((2*x)-1)^3)))
A257850 = (((1/5)*differential((A001057+(-((-(1/4/(x-1)))+(-(1/2/(x+1)^2)))))))+(((1/5)*((15*x^3)+(4*x^2)+(8*x)+9))/((((x^4-x^3)+x^2)-x)+1))+(-(-(((1/5)*((11*x^3)+(16*x^2)+(15*x)+8))/(x^4+x^3+x^2+x+1))))+(-(-(((1/2)*((2*x^3)+(2*x^2)+x))/(x^4+x^3+x^2+x+1)^2)))+(-(-(((1/2)*(((2*x^2)-x)+2))/((((x^4-x^3)+x^2)-x)+1)^2)))+(-(1/2/(x+1)))+(-(33/10/(x-1)))+(9/20/(x-1)^2))
A257890 = ((4*differential((A001057+(-((1/4/(x+1))+(-(1/2/(x+1)^2)))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257850 = (((1/10)*(A001057+(-((1/4/(x+1))+(-(1/4/(x-1)))))))+(((1/5)*((15*x^3)+(4*x^2)+(8*x)+9))/((((x^4-x^3)+x^2)-x)+1))+(-(-(((1/5)*((11*x^3)+(16*x^2)+(15*x)+8))/(x^4+x^3+x^2+x+1))))+(-(-(((1/2)*((2*x^3)+(2*x^2)+x))/(x^4+x^3+x^2+x+1)^2)))+(-(-(((1/2)*(((2*x^2)-x)+2))/((((x^4-x^3)+x^2)-x)+1)^2)))+(-(1/2/(x+1)))+(-(33/10/(x-1)))+(9/20/(x-1)^2))
A257171 = (((-(1/8))*differential((A001057+(-((1/4/(x+1))+(-(1/4/(x-1))))))))+(2*x)+(-(-(3/8/(x+1))))+(-(-(3/8/(x-1))))+(-(3/4/(x-1)^2))+(-(3/8/(x-1)^3))+(-(3/4/(x-1)^4))+(-1))
A257850 = (((2/5)*differential((A001068+(-((((1/4)*(x+1))/(x^2+1))+(13/8/(x-1))+(5/4/(x-1)^2))))))+(((1/5)*((15*x^3)+(4*x^2)+(8*x)+9))/((((x^4-x^3)+x^2)-x)+1))+(-(-(((1/5)*((11*x^3)+(16*x^2)+(15*x)+8))/(x^4+x^3+x^2+x+1))))+(-(-(((1/2)*((2*x^3)+(2*x^2)+x))/(x^4+x^3+x^2+x+1)^2)))+(-(-(((1/2)*(((2*x^2)-x)+2))/((((x^4-x^3)+x^2)-x)+1)^2)))+(-(1/2/(x+1)))+(-(33/10/(x-1)))+(9/20/(x-1)^2))
A257890 = (((-(8/13))*differential((A001068+(-((((1/4)*(x+1))/(x^2+1))+(1/8/(x+1))+(5/4/(x-1)^2))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257890 = (((4/5)*(A001068+(-((((1/4)*(x+1))/(x^2+1))+(1/8/(x+1))+(13/8/(x-1))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257464 = (((7/60)*differential((A001068+(-((((1/4)*(x+1))/(x^2+1))+(1/8/(x+1))+(13/8/(x-1)))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A226958 = (((2/5/x)*A001076)+(-(8/5/(x^2-x-1))))
A123283 = ((1*A001078)+((10*x)/((x^2-(98*x))+1)))
A245927 = (((2*sqrt(6)*sqrt((-(((x+sqrt(((x^2-(14*x))+1)))-1)/((x^3-(14*x^2))+x)))))/((5*sqrt(6)*log(((x-(2*sqrt(6))-5)/((x+(2*sqrt(6)))-5))))+(12*log(((x^2-(10*x))+1)))))*integrate(A001078))
A077412 = ((1/3/x)*A001080)
A257890 = (((1/7)*(A001093+(-((12/(x-1)^3)+(6/(x-1)^4)))))+(1/(x-1)^4)+(1/(x-1)^6))
A257464 = (((1/48)*differential((A001093+(-((12/(x-1)^3)+(6/(x-1)^4))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257464 = (((-(7/288))*(A001093+(-((7/(x-1)^2)+(6/(x-1)^4)))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257890 = (((-(1/6))*integrate((A001093+(-((7/(x-1)^2)+(6/(x-1)^4))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257890 = (((-(1/36))*differential((A001093+(-((7/(x-1)^2)+(6/(x-1)^4))))))+(1/(x-1)^2)+(1/(x-1)^6))
A257890 = (((1/6)*(A001093+(-((7/(x-1)^2)+(12/(x-1)^3)))))+(1/(x-1)^2)+(1/(x-1)^6))
A257464 = (((7/48)*integrate((A001093+(-((7/(x-1)^2)+(12/(x-1)^3))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257464 = (((1/48)*differential((A001093+(-((7/(x-1)^2)+(12/(x-1)^3))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(7/24/(x-1)^3))+(-(1/2/(x-1)^4)))
A257890 = (((1/23)*differential((A001094+(-((-(95/(x-1)^2))+(-(144/(x-1)^3))+(-(96/(x-1)^4))+(-(24/(x-1)^5)))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257890 = (((-(1/95))*(A001094+(-((-(23/(x-1)))+(-(144/(x-1)^3))+(-(96/(x-1)^4))+(-(24/(x-1)^5))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257464 = (((-(7/4560))*differential((A001094+(-((-(23/(x-1)))+(-(144/(x-1)^3))+(-(96/(x-1)^4))+(-(24/(x-1)^5)))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257464 = (((7/3456)*(A001094+(-((-(23/(x-1)))+(-(95/(x-1)^2))+(-(96/(x-1)^4))+(-(24/(x-1)^5))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257890 = (((1/72)*integrate((A001094+(-((-(23/(x-1)))+(-(95/(x-1)^2))+(-(96/(x-1)^4))+(-(24/(x-1)^5)))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257890 = (((1/432)*differential((A001094+(-((-(23/(x-1)))+(-(95/(x-1)^2))+(-(96/(x-1)^4))+(-(24/(x-1)^5)))))))+(1/(x-1)^2)+(1/(x-1)^6))
A257890 = (((-(1/96))*(A001094+(-((-(23/(x-1)))+(-(95/(x-1)^2))+(-(144/(x-1)^3))+(-(24/(x-1)^5))))))+(1/(x-1)^2)+(1/(x-1)^6))
A257464 = (((-(7/768))*integrate((A001094+(-((-(23/(x-1)))+(-(95/(x-1)^2))+(-(144/(x-1)^3))+(-(24/(x-1)^5)))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257464 = (((-(1/768))*differential((A001094+(-((-(23/(x-1)))+(-(95/(x-1)^2))+(-(144/(x-1)^3))+(-(24/(x-1)^5)))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(7/24/(x-1)^3))+(-(1/2/(x-1)^4)))
A257464 = (((1/48)*(A001094+(-((-(23/(x-1)))+(-(95/(x-1)^2))+(-(144/(x-1)^3))+(-(96/(x-1)^4))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(7/24/(x-1)^3))+(-(1/2/(x-1)^4)))
A257890 = (((1/6)*integrate((A001094+(-((-(23/(x-1)))+(-(95/(x-1)^2))+(-(144/(x-1)^3))+(-(96/(x-1)^4)))))))+(1/(x-1)^2)+(1/(x-1)^6))
A257890 = (((1/120)*differential((A001094+(-((-(23/(x-1)))+(-(95/(x-1)^2))+(-(144/(x-1)^3))+(-(96/(x-1)^4)))))))+(1/(x-1)^2)+(1/(x-1)^4))
A257890 = (((-(1/121))*differential((A001095+(-((601/(x-1)^2)+(1200/(x-1)^3)+(1200/(x-1)^4)+(600/(x-1)^5)+(120/(x-1)^6))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257890 = (((1/601)*(A001095+(-((121/(x-1))+(1200/(x-1)^3)+(1200/(x-1)^4)+(600/(x-1)^5)+(120/(x-1)^6)))))+(1/(x-1)^4)+(1/(x-1)^6))
A257464 = (((7/28848)*differential((A001095+(-((121/(x-1))+(1200/(x-1)^3)+(1200/(x-1)^4)+(600/(x-1)^5)+(120/(x-1)^6))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257464 = (((-(7/28800))*(A001095+(-((121/(x-1))+(601/(x-1)^2)+(1200/(x-1)^4)+(600/(x-1)^5)+(120/(x-1)^6)))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257890 = (((-(1/600))*integrate((A001095+(-((121/(x-1))+(601/(x-1)^2)+(1200/(x-1)^4)+(600/(x-1)^5)+(120/(x-1)^6))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257890 = (((-(1/3600))*differential((A001095+(-((121/(x-1))+(601/(x-1)^2)+(1200/(x-1)^4)+(600/(x-1)^5)+(120/(x-1)^6))))))+(1/(x-1)^2)+(1/(x-1)^6))
A257890 = (((1/1200)*(A001095+(-((121/(x-1))+(601/(x-1)^2)+(1200/(x-1)^3)+(600/(x-1)^5)+(120/(x-1)^6)))))+(1/(x-1)^2)+(1/(x-1)^6))
A257464 = (((7/9600)*integrate((A001095+(-((121/(x-1))+(601/(x-1)^2)+(1200/(x-1)^3)+(600/(x-1)^5)+(120/(x-1)^6))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257464 = (((1/9600)*differential((A001095+(-((121/(x-1))+(601/(x-1)^2)+(1200/(x-1)^3)+(600/(x-1)^5)+(120/(x-1)^6))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(7/24/(x-1)^3))+(-(1/2/(x-1)^4)))
A257464 = (((-(1/1200))*(A001095+(-((121/(x-1))+(601/(x-1)^2)+(1200/(x-1)^3)+(1200/(x-1)^4)+(120/(x-1)^6)))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(7/24/(x-1)^3))+(-(1/2/(x-1)^4)))
A257890 = (((-(1/150))*integrate((A001095+(-((121/(x-1))+(601/(x-1)^2)+(1200/(x-1)^3)+(1200/(x-1)^4)+(120/(x-1)^6))))))+(1/(x-1)^2)+(1/(x-1)^6))
A257890 = (((-(1/3000))*differential((A001095+(-((121/(x-1))+(601/(x-1)^2)+(1200/(x-1)^3)+(1200/(x-1)^4)+(120/(x-1)^6))))))+(1/(x-1)^2)+(1/(x-1)^4))
A257890 = (((1/120)*(A001095+(-((121/(x-1))+(601/(x-1)^2)+(1200/(x-1)^3)+(1200/(x-1)^4)+(600/(x-1)^5)))))+(1/(x-1)^2)+(1/(x-1)^4))
A257464 = (((1/48)*integrate((A001095+(-((121/(x-1))+(601/(x-1)^2)+(1200/(x-1)^3)+(1200/(x-1)^4)+(600/(x-1)^5))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(7/24/(x-1)^3))+(-(1/2/(x-1)^4)))
A257201 = (((-(1/360))*differential((A001095+(-((121/(x-1))+(601/(x-1)^2)+(1200/(x-1)^3)+(1200/(x-1)^4)+(600/(x-1)^5))))))+(1/(x-1)^5)+(2/(x-1)^6)+(1/(x-1)^8))
A257890 = (((1/719)*differential((A001096+(-((-(4319/(x-1)^2))+(-(10800/(x-1)^3))+(-(14400/(x-1)^4))+(-(10800/(x-1)^5))+(-(4320/(x-1)^6))+(-(720/(x-1)^7)))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257890 = (((-(1/4319))*(A001096+(-((-(719/(x-1)))+(-(10800/(x-1)^3))+(-(14400/(x-1)^4))+(-(10800/(x-1)^5))+(-(4320/(x-1)^6))+(-(720/(x-1)^7))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257464 = (((-(1/29616))*differential((A001096+(-((-(719/(x-1)))+(-(10800/(x-1)^3))+(-(14400/(x-1)^4))+(-(10800/(x-1)^5))+(-(4320/(x-1)^6))+(-(720/(x-1)^7)))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257464 = (((7/259200)*(A001096+(-((-(719/(x-1)))+(-(4319/(x-1)^2))+(-(14400/(x-1)^4))+(-(10800/(x-1)^5))+(-(4320/(x-1)^6))+(-(720/(x-1)^7))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257890 = (((1/5400)*integrate((A001096+(-((-(719/(x-1)))+(-(4319/(x-1)^2))+(-(14400/(x-1)^4))+(-(10800/(x-1)^5))+(-(4320/(x-1)^6))+(-(720/(x-1)^7)))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257890 = (((1/32400)*differential((A001096+(-((-(719/(x-1)))+(-(4319/(x-1)^2))+(-(14400/(x-1)^4))+(-(10800/(x-1)^5))+(-(4320/(x-1)^6))+(-(720/(x-1)^7)))))))+(1/(x-1)^2)+(1/(x-1)^6))
A257890 = (((-(1/14400))*(A001096+(-((-(719/(x-1)))+(-(4319/(x-1)^2))+(-(10800/(x-1)^3))+(-(10800/(x-1)^5))+(-(4320/(x-1)^6))+(-(720/(x-1)^7))))))+(1/(x-1)^2)+(1/(x-1)^6))
A257464 = (((-(7/115200))*integrate((A001096+(-((-(719/(x-1)))+(-(4319/(x-1)^2))+(-(10800/(x-1)^3))+(-(10800/(x-1)^5))+(-(4320/(x-1)^6))+(-(720/(x-1)^7)))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257464 = (((-(1/115200))*differential((A001096+(-((-(719/(x-1)))+(-(4319/(x-1)^2))+(-(10800/(x-1)^3))+(-(10800/(x-1)^5))+(-(4320/(x-1)^6))+(-(720/(x-1)^7)))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(7/24/(x-1)^3))+(-(1/2/(x-1)^4)))
A257464 = (((1/21600)*(A001096+(-((-(719/(x-1)))+(-(4319/(x-1)^2))+(-(10800/(x-1)^3))+(-(14400/(x-1)^4))+(-(4320/(x-1)^6))+(-(720/(x-1)^7))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(7/24/(x-1)^3))+(-(1/2/(x-1)^4)))
A257890 = (((1/2700)*integrate((A001096+(-((-(719/(x-1)))+(-(4319/(x-1)^2))+(-(10800/(x-1)^3))+(-(14400/(x-1)^4))+(-(4320/(x-1)^6))+(-(720/(x-1)^7)))))))+(1/(x-1)^2)+(1/(x-1)^6))
A257890 = (((1/54000)*differential((A001096+(-((-(719/(x-1)))+(-(4319/(x-1)^2))+(-(10800/(x-1)^3))+(-(14400/(x-1)^4))+(-(4320/(x-1)^6))+(-(720/(x-1)^7)))))))+(1/(x-1)^2)+(1/(x-1)^4))
A257890 = (((-(1/4320))*(A001096+(-((-(719/(x-1)))+(-(4319/(x-1)^2))+(-(10800/(x-1)^3))+(-(14400/(x-1)^4))+(-(10800/(x-1)^5))+(-(720/(x-1)^7))))))+(1/(x-1)^2)+(1/(x-1)^4))
A257464 = (((-(1/1728))*integrate((A001096+(-((-(719/(x-1)))+(-(4319/(x-1)^2))+(-(10800/(x-1)^3))+(-(14400/(x-1)^4))+(-(10800/(x-1)^5))+(-(720/(x-1)^7)))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(7/24/(x-1)^3))+(-(1/2/(x-1)^4)))
A257201 = (((1/12960)*differential((A001096+(-((-(719/(x-1)))+(-(4319/(x-1)^2))+(-(10800/(x-1)^3))+(-(14400/(x-1)^4))+(-(10800/(x-1)^5))+(-(720/(x-1)^7)))))))+(1/(x-1)^5)+(2/(x-1)^6)+(1/(x-1)^8))
A257201 = (((-(1/360))*(A001096+(-((-(719/(x-1)))+(-(4319/(x-1)^2))+(-(10800/(x-1)^3))+(-(14400/(x-1)^4))+(-(10800/(x-1)^5))+(-(4320/(x-1)^6))))))+(1/(x-1)^5)+(2/(x-1)^6)+(1/(x-1)^8))
A257890 = (((1/120)*integrate((A001096+(-((-(719/(x-1)))+(-(4319/(x-1)^2))+(-(10800/(x-1)^3))+(-(14400/(x-1)^4))+(-(10800/(x-1)^5))+(-(4320/(x-1)^6)))))))+(1/(x-1)^2)+(1/(x-1)^4))
A257201 = (((1/5040)*differential((A001096+(-((-(719/(x-1)))+(-(4319/(x-1)^2))+(-(10800/(x-1)^3))+(-(14400/(x-1)^4))+(-(10800/(x-1)^5))+(-(4320/(x-1)^6)))))))+(1/(x-1)^5)+(2/(x-1)^6)+(2/(x-1)^7))
A257890 = (((1/2)*differential((A001105+(-((-(6/(x-1)^2))+(-(4/(x-1)^3)))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257890 = (((-(1/6))*(A001105+(-((-(2/(x-1)))+(-(4/(x-1)^3))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257464 = (((-(7/288))*differential((A001105+(-((-(2/(x-1)))+(-(4/(x-1)^3)))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257464 = (((7/96)*(A001105+(-((-(2/(x-1)))+(-(6/(x-1)^2))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257890 = (((1/2)*integrate((A001105+(-((-(2/(x-1)))+(-(6/(x-1)^2)))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257890 = (((1/12)*differential((A001105+(-((-(2/(x-1)))+(-(6/(x-1)^2)))))))+(1/(x-1)^2)+(1/(x-1)^6))
A257890 = (((1/6)*differential((A001106+(-((-(13/(x-1)^2))+(-(7/(x-1)^3)))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257890 = (((-(1/13))*(A001106+(-((-(6/(x-1)))+(-(7/(x-1)^3))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257464 = (((-(7/624))*differential((A001106+(-((-(6/(x-1)))+(-(7/(x-1)^3)))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257464 = (((1/24)*(A001106+(-((-(6/(x-1)))+(-(13/(x-1)^2))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257890 = (((2/7)*integrate((A001106+(-((-(6/(x-1)))+(-(13/(x-1)^2)))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257890 = (((1/21)*differential((A001106+(-((-(6/(x-1)))+(-(13/(x-1)^2)))))))+(1/(x-1)^2)+(1/(x-1)^6))
A245926 = ((-((2*sqrt(2)*sqrt((-((x-sqrt(((x^2-(14*x))+1))-1)/((x^2-(14*x))+1)))))/((2*sqrt(2)*log(((x-(2*sqrt(2))-3)/((x+(2*sqrt(2)))-3))))+(3*log(((x^2-(6*x))+1))))))*integrate((A001108+(-(1/2/(x-1))))))
A257890 = (((-2)*differential((A001108+(-(-(((1/2)*((3*x)-1))/((x^2-(6*x))+1)))))))+(1/(x-1)^4)+(1/(x-1)^6))
A182189 = ((2*A001109)+(-(1/(x-1))))
A245926 = (((4*sqrt(2)*sqrt((-((x-sqrt(((x^2-(14*x))+1))-1)/((x^2-(14*x))+1)))))/((3*sqrt(2)*log(((x-(2*sqrt(2))-3)/((x+(2*sqrt(2)))-3))))+(4*log(((x^2-(6*x))+1)))))*integrate(A001109))
A245926 = ((-((16*sqrt(2)*sqrt((-((x-sqrt(((x^2-(14*x))+1))-1)/((x^2-(14*x))+1)))))/((12*sqrt(2)*log(((x-(12*sqrt(2))-17)/((x+(12*sqrt(2)))-17))))+(17*log(((x^2-(34*x))+1))))))*integrate((A001110+(-(1/16/(x-1))))))
A257890 = (((-16)*differential((A001110+(-(-(((1/16)*((17*x)-1))/((x^2-(34*x))+1)))))))+(1/(x-1)^4)+(1/(x-1)^6))
A248088 = (((1/6)*differential((A001117+(-((-(3/((2*x)-1)))+(-(3/(x-1))))))))+(((1/6)*((2*x)+1))/((3*x^2)+(2*x)+1))+(-(1/3/((3*x)-1))))
A248917 = (((-(1/2))*differential((A001117+(-((-(1/((3*x)-1)))+(-(3/(x-1))))))))+(-(1/((2*x)-1)))+(-(1/(x-1)))+(-(2/((2*x)-1)^3)))
A257890 = (((1/3)*differential((A001117+(-((-(1/((3*x)-1)))+(-(3/((2*x)-1))))))))+(1/(x-1)^4)+(1/(x-1)^6))
A241874 = (((3/400)*differential((A001118+(-((-(-(5/((4*x)-1))))+(-(-(10/((3*x)-1))))+(-(10/((2*x)-1)))+(-(5/(x-1))))))))+(-(4/125/((6*x)-1)))+(-(-(-(9/160/((5*x)-1)))))+(-(-(-(1/24/((4*x)-1)))))+(-(-(5/288/((3*x)-1))))+(-(-(3/32/((2*x)-1))))+(-(-(593/6000/(x-1))))+(-(-(5/54/((4*x)-1)^2)))+(-(-(13/144/((3*x)-1)^2)))+(-(1/16/((2*x)-1)^2))+(-(923/10800/(x-1)^2))+(-(1/24/((4*x)-1)^3))+(-(17/144/((3*x)-1)^3))+(-(1/16/((2*x)-1)^3))+(-(19/720/(x-1)^3))+(-(1/24/((3*x)-1)^4))+(-(3/32/((2*x)-1)^4))+(-(1/32/((2*x)-1)^5))+(-(3/160)))
A241874 = (((-(1/216))*differential((A001118+(-((-(1/((5*x)-1)))+(-(-(10/((3*x)-1))))+(-(10/((2*x)-1)))+(-(5/(x-1))))))))+(-(4/125/((6*x)-1)))+(-(-(-(9/160/((5*x)-1)))))+(-(-(-(1/24/((4*x)-1)))))+(-(-(5/288/((3*x)-1))))+(-(-(3/32/((2*x)-1))))+(-(-(593/6000/(x-1))))+(-(-(3/80/((5*x)-1)^2)))+(-(-(13/144/((3*x)-1)^2)))+(-(1/16/((2*x)-1)^2))+(-(923/10800/(x-1)^2))+(-(1/24/((4*x)-1)^3))+(-(17/144/((3*x)-1)^3))+(-(1/16/((2*x)-1)^3))+(-(19/720/(x-1)^3))+(-(1/24/((3*x)-1)^4))+(-(3/32/((2*x)-1)^4))+(-(1/32/((2*x)-1)^5))+(-(3/160)))
A248088 = (((-(1/60))*differential((A001118+(-((-(1/((5*x)-1)))+(-(-(5/((4*x)-1))))+(-(10/((2*x)-1)))+(-(5/(x-1))))))))+(((1/6)*((2*x)+1))/((3*x^2)+(2*x)+1))+(-(1/3/((3*x)-1))))
A248917 = (((-(3/20))*differential((A001118+(-((-(1/((5*x)-1)))+(-(-(5/((4*x)-1))))+(-(-(10/((3*x)-1))))+(-(5/(x-1))))))))+(-(1/((2*x)-1)))+(-(1/(x-1)))+(-(2/((2*x)-1)^3)))
A257890 = (((1/5)*differential((A001118+(-((-(1/((5*x)-1)))+(-(-(5/((4*x)-1))))+(-(-(10/((3*x)-1))))+(-(10/((2*x)-1))))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257890 = (((1/5)*differential((A001148+(-(-((2*(x+2))/(x^2+1)))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257890 = (((25/32)*differential((A001204+(-((((1/25)*(((32*x^3)+(21*x^2))-(8*x)-5))/(x^4+x^3+x^2+x+1))+(-(((3/5)*((7*x^3)+(13*x^2)+(13*x)+7))/(x^4+x^3+x^2+x+1)^2))+(18/25/(x-1)^2)+1)))))+(1/(x-1)^4)+(1/(x-1)^6))
A257890 = (((25/18)*(A001204+(-((((1/25)*(((32*x^3)+(21*x^2))-(8*x)-5))/(x^4+x^3+x^2+x+1))+(-(((3/5)*((7*x^3)+(13*x^2)+(13*x)+7))/(x^4+x^3+x^2+x+1)^2))+(-(32/25/(x-1)))+1))))+(1/(x-1)^4)+(1/(x-1)^6))
A257464 = (((175/864)*differential((A001204+(-((((1/25)*(((32*x^3)+(21*x^2))-(8*x)-5))/(x^4+x^3+x^2+x+1))+(-(((3/5)*((7*x^3)+(13*x^2)+(13*x)+7))/(x^4+x^3+x^2+x+1)^2))+(-(32/25/(x-1)))+1)))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A255978 = ((4*x*(A001224+(-(-(((1/2)*(x^2+x+1))/((x^4+x^2)-1))))))+(((1/3)*(x+2))/(x^2+x+1))+(2/3/(x-1)))
A215108 = ((1*differential((A001224+(-(-(((1/2)*(x^2+x+1))/((x^4+x^2)-1)))))))+(-(((1/4)*((2*x)+1))/(x^2+x+1)))+(((1/4)*((2*x)+1))/((x^2+x)-1)))
A229689 = (((-(1/27))*differential((A001240+(-((-(3/((3*x)-1)))+(-(1/((2*x)-1))))))))+((1/2)*x)+(-(13/36/((6*x)-1)))+(-(16/27/((6*x)-1)^3))+(47/108))
A248088 = (((1/18)*differential((A001240+(-((-(3/((6*x)-1)))+(-(1/((2*x)-1))))))))+(((1/6)*((2*x)+1))/((3*x^2)+(2*x)+1))+(-(1/3/((3*x)-1))))
A248917 = (((-(3/2))*differential((A001240+(-((-(3/((6*x)-1)))+(-(3/((3*x)-1))))))))+(-(1/((2*x)-1)))+(-(1/(x-1)))+(-(2/((2*x)-1)^3)))
A014942 = (((1/92)*differential((A001241+(-((-(1/2/((12*x)-1)))+(-(1/2/((8*x)-1)))+(1/6/((6*x)-1)))))))+(24/529/((24*x)-1))+(-(1/529/(x-1))))
A230539 = (((3/8)*differential((A001241+(-((-(1/6/((24*x)-1)))+(-(1/2/((12*x)-1)))+(1/6/((6*x)-1)))))))+(3/2/((8*x)-1)))
A229689 = (((2/3)*differential((A001241+(-((-(1/6/((24*x)-1)))+(-(1/2/((12*x)-1)))+(-(1/2/((8*x)-1))))))))+((1/2)*x)+(-(13/36/((6*x)-1)))+(-(16/27/((6*x)-1)^3))+(47/108))
A014942 = (((1/23)*differential((A001242+(-((-(1/24/((120*x)-1)))+(-(-(1/6/((60*x)-1))))+(-(-(1/4/((40*x)-1))))+(-(1/6/((30*x)-1))))))))+(24/529/((24*x)-1))+(-(1/529/(x-1))))
A257850 = (((1/40)*differential((A001254+(-(-(((3*x)-2)/((x^2-(3*x))+1)))))))+(((1/5)*((15*x^3)+(4*x^2)+(8*x)+9))/((((x^4-x^3)+x^2)-x)+1))+(-(-(((1/5)*((11*x^3)+(16*x^2)+(15*x)+8))/(x^4+x^3+x^2+x+1))))+(-(-(((1/2)*((2*x^3)+(2*x^2)+x))/(x^4+x^3+x^2+x+1)^2)))+(-(-(((1/2)*(((2*x^2)-x)+2))/((((x^4-x^3)+x^2)-x)+1)^2)))+(-(1/2/(x+1)))+(-(33/10/(x-1)))+(9/20/(x-1)^2))
A257890 = ((1*differential((A001287+(-((-(10/(x-1)^2))+(-(45/(x-1)^3))+(-(120/(x-1)^4))+(-(210/(x-1)^5))+(-(252/(x-1)^6))+(-(210/(x-1)^7))+(-(120/(x-1)^8))+(-(45/(x-1)^9))+(-(10/(x-1)^10))+(-(1/(x-1)^11)))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257890 = (((-(1/10))*(A001287+(-((-(1/(x-1)))+(-(45/(x-1)^3))+(-(120/(x-1)^4))+(-(210/(x-1)^5))+(-(252/(x-1)^6))+(-(210/(x-1)^7))+(-(120/(x-1)^8))+(-(45/(x-1)^9))+(-(10/(x-1)^10))+(-(1/(x-1)^11))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257464 = (((-(7/480))*differential((A001287+(-((-(1/(x-1)))+(-(45/(x-1)^3))+(-(120/(x-1)^4))+(-(210/(x-1)^5))+(-(252/(x-1)^6))+(-(210/(x-1)^7))+(-(120/(x-1)^8))+(-(45/(x-1)^9))+(-(10/(x-1)^10))+(-(1/(x-1)^11)))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257464 = (((7/1080)*(A001287+(-((-(1/(x-1)))+(-(10/(x-1)^2))+(-(120/(x-1)^4))+(-(210/(x-1)^5))+(-(252/(x-1)^6))+(-(210/(x-1)^7))+(-(120/(x-1)^8))+(-(45/(x-1)^9))+(-(10/(x-1)^10))+(-(1/(x-1)^11))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257890 = (((2/45)*integrate((A001287+(-((-(1/(x-1)))+(-(10/(x-1)^2))+(-(120/(x-1)^4))+(-(210/(x-1)^5))+(-(252/(x-1)^6))+(-(210/(x-1)^7))+(-(120/(x-1)^8))+(-(45/(x-1)^9))+(-(10/(x-1)^10))+(-(1/(x-1)^11)))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257890 = (((1/135)*differential((A001287+(-((-(1/(x-1)))+(-(10/(x-1)^2))+(-(120/(x-1)^4))+(-(210/(x-1)^5))+(-(252/(x-1)^6))+(-(210/(x-1)^7))+(-(120/(x-1)^8))+(-(45/(x-1)^9))+(-(10/(x-1)^10))+(-(1/(x-1)^11)))))))+(1/(x-1)^2)+(1/(x-1)^6))
A257890 = (((-(1/120))*(A001287+(-((-(1/(x-1)))+(-(10/(x-1)^2))+(-(45/(x-1)^3))+(-(210/(x-1)^5))+(-(252/(x-1)^6))+(-(210/(x-1)^7))+(-(120/(x-1)^8))+(-(45/(x-1)^9))+(-(10/(x-1)^10))+(-(1/(x-1)^11))))))+(1/(x-1)^2)+(1/(x-1)^6))
A257464 = (((-(7/960))*integrate((A001287+(-((-(1/(x-1)))+(-(10/(x-1)^2))+(-(45/(x-1)^3))+(-(210/(x-1)^5))+(-(252/(x-1)^6))+(-(210/(x-1)^7))+(-(120/(x-1)^8))+(-(45/(x-1)^9))+(-(10/(x-1)^10))+(-(1/(x-1)^11)))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257464 = (((-(1/960))*differential((A001287+(-((-(1/(x-1)))+(-(10/(x-1)^2))+(-(45/(x-1)^3))+(-(210/(x-1)^5))+(-(252/(x-1)^6))+(-(210/(x-1)^7))+(-(120/(x-1)^8))+(-(45/(x-1)^9))+(-(10/(x-1)^10))+(-(1/(x-1)^11)))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(7/24/(x-1)^3))+(-(1/2/(x-1)^4)))
A257464 = (((1/420)*(A001287+(-((-(1/(x-1)))+(-(10/(x-1)^2))+(-(45/(x-1)^3))+(-(120/(x-1)^4))+(-(252/(x-1)^6))+(-(210/(x-1)^7))+(-(120/(x-1)^8))+(-(45/(x-1)^9))+(-(10/(x-1)^10))+(-(1/(x-1)^11))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(7/24/(x-1)^3))+(-(1/2/(x-1)^4)))
A257890 = (((2/105)*integrate((A001287+(-((-(1/(x-1)))+(-(10/(x-1)^2))+(-(45/(x-1)^3))+(-(120/(x-1)^4))+(-(252/(x-1)^6))+(-(210/(x-1)^7))+(-(120/(x-1)^8))+(-(45/(x-1)^9))+(-(10/(x-1)^10))+(-(1/(x-1)^11)))))))+(1/(x-1)^2)+(1/(x-1)^6))
A257890 = (((1/1050)*differential((A001287+(-((-(1/(x-1)))+(-(10/(x-1)^2))+(-(45/(x-1)^3))+(-(120/(x-1)^4))+(-(252/(x-1)^6))+(-(210/(x-1)^7))+(-(120/(x-1)^8))+(-(45/(x-1)^9))+(-(10/(x-1)^10))+(-(1/(x-1)^11)))))))+(1/(x-1)^2)+(1/(x-1)^4))
A257890 = (((-(1/252))*(A001287+(-((-(1/(x-1)))+(-(10/(x-1)^2))+(-(45/(x-1)^3))+(-(120/(x-1)^4))+(-(210/(x-1)^5))+(-(210/(x-1)^7))+(-(120/(x-1)^8))+(-(45/(x-1)^9))+(-(10/(x-1)^10))+(-(1/(x-1)^11))))))+(1/(x-1)^2)+(1/(x-1)^4))
A257464 = (((-(5/504))*integrate((A001287+(-((-(1/(x-1)))+(-(10/(x-1)^2))+(-(45/(x-1)^3))+(-(120/(x-1)^4))+(-(210/(x-1)^5))+(-(210/(x-1)^7))+(-(120/(x-1)^8))+(-(45/(x-1)^9))+(-(10/(x-1)^10))+(-(1/(x-1)^11)))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(7/24/(x-1)^3))+(-(1/2/(x-1)^4)))
A257201 = (((1/756)*differential((A001287+(-((-(1/(x-1)))+(-(10/(x-1)^2))+(-(45/(x-1)^3))+(-(120/(x-1)^4))+(-(210/(x-1)^5))+(-(210/(x-1)^7))+(-(120/(x-1)^8))+(-(45/(x-1)^9))+(-(10/(x-1)^10))+(-(1/(x-1)^11)))))))+(1/(x-1)^5)+(2/(x-1)^6)+(1/(x-1)^8))
A257201 = (((-(1/105))*(A001287+(-((-(1/(x-1)))+(-(10/(x-1)^2))+(-(45/(x-1)^3))+(-(120/(x-1)^4))+(-(210/(x-1)^5))+(-(252/(x-1)^6))+(-(120/(x-1)^8))+(-(45/(x-1)^9))+(-(10/(x-1)^10))+(-(1/(x-1)^11))))))+(1/(x-1)^5)+(2/(x-1)^6)+(1/(x-1)^8))
A257890 = (((1/35)*integrate((A001287+(-((-(1/(x-1)))+(-(10/(x-1)^2))+(-(45/(x-1)^3))+(-(120/(x-1)^4))+(-(210/(x-1)^5))+(-(252/(x-1)^6))+(-(120/(x-1)^8))+(-(45/(x-1)^9))+(-(10/(x-1)^10))+(-(1/(x-1)^11)))))))+(1/(x-1)^2)+(1/(x-1)^4))
A257201 = (((1/1470)*differential((A001287+(-((-(1/(x-1)))+(-(10/(x-1)^2))+(-(45/(x-1)^3))+(-(120/(x-1)^4))+(-(210/(x-1)^5))+(-(252/(x-1)^6))+(-(120/(x-1)^8))+(-(45/(x-1)^9))+(-(10/(x-1)^10))+(-(1/(x-1)^11)))))))+(1/(x-1)^5)+(2/(x-1)^6)+(2/(x-1)^7))
A257201 = (((-(1/120))*(A001287+(-((-(1/(x-1)))+(-(10/(x-1)^2))+(-(45/(x-1)^3))+(-(120/(x-1)^4))+(-(210/(x-1)^5))+(-(252/(x-1)^6))+(-(210/(x-1)^7))+(-(45/(x-1)^9))+(-(10/(x-1)^10))+(-(1/(x-1)^11))))))+(1/(x-1)^5)+(2/(x-1)^6)+(2/(x-1)^7))
A257201 = (((7/60)*integrate((A001287+(-((-(1/(x-1)))+(-(10/(x-1)^2))+(-(45/(x-1)^3))+(-(120/(x-1)^4))+(-(210/(x-1)^5))+(-(252/(x-1)^6))+(-(210/(x-1)^7))+(-(45/(x-1)^9))+(-(10/(x-1)^10))+(-(1/(x-1)^11)))))))+(1/(x-1)^5)+(2/(x-1)^6)+(1/(x-1)^8))
A256181 = (((-(73603/960))*differential((A001287+(-((-(1/(x-1)))+(-(10/(x-1)^2))+(-(45/(x-1)^3))+(-(120/(x-1)^4))+(-(210/(x-1)^5))+(-(252/(x-1)^6))+(-(210/(x-1)^7))+(-(45/(x-1)^9))+(-(10/(x-1)^10))+(-(1/(x-1)^11)))))))+(-(1/(x-1)))+(-(3/(x-1)^3))+(-(102/(x-1)^4))+(-(1305/(x-1)^5))+(-(7812/(x-1)^6))+(-(26333/(x-1)^7))+(-(54854/(x-1)^8))+(-(63976/(x-1)^10))+(-(34905/(x-1)^11))+(-(10890/(x-1)^12))+(-(1485/(x-1)^13))+(-1))
A256181 = (((73603/45)*(A001287+(-((-(1/(x-1)))+(-(10/(x-1)^2))+(-(45/(x-1)^3))+(-(120/(x-1)^4))+(-(210/(x-1)^5))+(-(252/(x-1)^6))+(-(210/(x-1)^7))+(-(120/(x-1)^8))+(-(10/(x-1)^10))+(-(1/(x-1)^11))))))+(-(1/(x-1)))+(-(3/(x-1)^3))+(-(102/(x-1)^4))+(-(1305/(x-1)^5))+(-(7812/(x-1)^6))+(-(26333/(x-1)^7))+(-(54854/(x-1)^8))+(-(63976/(x-1)^10))+(-(34905/(x-1)^11))+(-(10890/(x-1)^12))+(-(1485/(x-1)^13))+(-1))
A257201 = (((8/45)*integrate((A001287+(-((-(1/(x-1)))+(-(10/(x-1)^2))+(-(45/(x-1)^3))+(-(120/(x-1)^4))+(-(210/(x-1)^5))+(-(252/(x-1)^6))+(-(210/(x-1)^7))+(-(120/(x-1)^8))+(-(10/(x-1)^10))+(-(1/(x-1)^11)))))))+(1/(x-1)^5)+(2/(x-1)^6)+(2/(x-1)^7))
A256181 = (((-(63976/405))*differential((A001287+(-((-(1/(x-1)))+(-(10/(x-1)^2))+(-(45/(x-1)^3))+(-(120/(x-1)^4))+(-(210/(x-1)^5))+(-(252/(x-1)^6))+(-(210/(x-1)^7))+(-(120/(x-1)^8))+(-(10/(x-1)^10))+(-(1/(x-1)^11)))))))+(-(1/(x-1)))+(-(3/(x-1)^3))+(-(102/(x-1)^4))+(-(1305/(x-1)^5))+(-(7812/(x-1)^6))+(-(26333/(x-1)^7))+(-(54854/(x-1)^8))+(-(73603/(x-1)^9))+(-(34905/(x-1)^11))+(-(10890/(x-1)^12))+(-(1485/(x-1)^13))+(-1))
A256181 = (((31988/5)*(A001287+(-((-(1/(x-1)))+(-(10/(x-1)^2))+(-(45/(x-1)^3))+(-(120/(x-1)^4))+(-(210/(x-1)^5))+(-(252/(x-1)^6))+(-(210/(x-1)^7))+(-(120/(x-1)^8))+(-(45/(x-1)^9))+(-(1/(x-1)^11))))))+(-(1/(x-1)))+(-(3/(x-1)^3))+(-(102/(x-1)^4))+(-(1305/(x-1)^5))+(-(7812/(x-1)^6))+(-(26333/(x-1)^7))+(-(54854/(x-1)^8))+(-(73603/(x-1)^9))+(-(34905/(x-1)^11))+(-(10890/(x-1)^12))+(-(1485/(x-1)^13))+(-1))
A256181 = (((-(662427/10))*integrate((A001287+(-((-(1/(x-1)))+(-(10/(x-1)^2))+(-(45/(x-1)^3))+(-(120/(x-1)^4))+(-(210/(x-1)^5))+(-(252/(x-1)^6))+(-(210/(x-1)^7))+(-(120/(x-1)^8))+(-(45/(x-1)^9))+(-(1/(x-1)^11)))))))+(-(1/(x-1)))+(-(3/(x-1)^3))+(-(102/(x-1)^4))+(-(1305/(x-1)^5))+(-(7812/(x-1)^6))+(-(26333/(x-1)^7))+(-(54854/(x-1)^8))+(-(63976/(x-1)^10))+(-(34905/(x-1)^11))+(-(10890/(x-1)^12))+(-(1485/(x-1)^13))+(-1))
A256181 = (((-(6981/20))*differential((A001287+(-((-(1/(x-1)))+(-(10/(x-1)^2))+(-(45/(x-1)^3))+(-(120/(x-1)^4))+(-(210/(x-1)^5))+(-(252/(x-1)^6))+(-(210/(x-1)^7))+(-(120/(x-1)^8))+(-(45/(x-1)^9))+(-(1/(x-1)^11)))))))+(-(1/(x-1)))+(-(3/(x-1)^3))+(-(102/(x-1)^4))+(-(1305/(x-1)^5))+(-(7812/(x-1)^6))+(-(26333/(x-1)^7))+(-(54854/(x-1)^8))+(-(73603/(x-1)^9))+(-(63976/(x-1)^10))+(-(10890/(x-1)^12))+(-(1485/(x-1)^13))+(-1))
A256181 = ((34905*(A001287+(-((-(1/(x-1)))+(-(10/(x-1)^2))+(-(45/(x-1)^3))+(-(120/(x-1)^4))+(-(210/(x-1)^5))+(-(252/(x-1)^6))+(-(210/(x-1)^7))+(-(120/(x-1)^8))+(-(45/(x-1)^9))+(-(10/(x-1)^10))))))+(-(1/(x-1)))+(-(3/(x-1)^3))+(-(102/(x-1)^4))+(-(1305/(x-1)^5))+(-(7812/(x-1)^6))+(-(26333/(x-1)^7))+(-(54854/(x-1)^8))+(-(73603/(x-1)^9))+(-(63976/(x-1)^10))+(-(10890/(x-1)^12))+(-(1485/(x-1)^13))+(-1))
A256181 = (((-639760)*integrate((A001287+(-((-(1/(x-1)))+(-(10/(x-1)^2))+(-(45/(x-1)^3))+(-(120/(x-1)^4))+(-(210/(x-1)^5))+(-(252/(x-1)^6))+(-(210/(x-1)^7))+(-(120/(x-1)^8))+(-(45/(x-1)^9))+(-(10/(x-1)^10)))))))+(-(1/(x-1)))+(-(3/(x-1)^3))+(-(102/(x-1)^4))+(-(1305/(x-1)^5))+(-(7812/(x-1)^6))+(-(26333/(x-1)^7))+(-(54854/(x-1)^8))+(-(73603/(x-1)^9))+(-(34905/(x-1)^11))+(-(10890/(x-1)^12))+(-(1485/(x-1)^13))+(-1))
A256181 = (((-990)*differential((A001287+(-((-(1/(x-1)))+(-(10/(x-1)^2))+(-(45/(x-1)^3))+(-(120/(x-1)^4))+(-(210/(x-1)^5))+(-(252/(x-1)^6))+(-(210/(x-1)^7))+(-(120/(x-1)^8))+(-(45/(x-1)^9))+(-(10/(x-1)^10)))))))+(-(1/(x-1)))+(-(3/(x-1)^3))+(-(102/(x-1)^4))+(-(1305/(x-1)^5))+(-(7812/(x-1)^6))+(-(26333/(x-1)^7))+(-(54854/(x-1)^8))+(-(73603/(x-1)^9))+(-(63976/(x-1)^10))+(-(34905/(x-1)^11))+(-(1485/(x-1)^13))+(-1))
A257890 = (((-1)*differential((A001288+(-((11/(x-1)^2)+(55/(x-1)^3)+(165/(x-1)^4)+(330/(x-1)^5)+(462/(x-1)^6)+(462/(x-1)^7)+(330/(x-1)^8)+(165/(x-1)^9)+(55/(x-1)^10)+(11/(x-1)^11)+(1/(x-1)^12))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257890 = (((1/11)*(A001288+(-((1/(x-1))+(55/(x-1)^3)+(165/(x-1)^4)+(330/(x-1)^5)+(462/(x-1)^6)+(462/(x-1)^7)+(330/(x-1)^8)+(165/(x-1)^9)+(55/(x-1)^10)+(11/(x-1)^11)+(1/(x-1)^12)))))+(1/(x-1)^4)+(1/(x-1)^6))
A257464 = (((7/528)*differential((A001288+(-((1/(x-1))+(55/(x-1)^3)+(165/(x-1)^4)+(330/(x-1)^5)+(462/(x-1)^6)+(462/(x-1)^7)+(330/(x-1)^8)+(165/(x-1)^9)+(55/(x-1)^10)+(11/(x-1)^11)+(1/(x-1)^12))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257464 = (((-(7/1320))*(A001288+(-((1/(x-1))+(11/(x-1)^2)+(165/(x-1)^4)+(330/(x-1)^5)+(462/(x-1)^6)+(462/(x-1)^7)+(330/(x-1)^8)+(165/(x-1)^9)+(55/(x-1)^10)+(11/(x-1)^11)+(1/(x-1)^12)))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257890 = (((-(2/55))*integrate((A001288+(-((1/(x-1))+(11/(x-1)^2)+(165/(x-1)^4)+(330/(x-1)^5)+(462/(x-1)^6)+(462/(x-1)^7)+(330/(x-1)^8)+(165/(x-1)^9)+(55/(x-1)^10)+(11/(x-1)^11)+(1/(x-1)^12))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257890 = (((-(1/165))*differential((A001288+(-((1/(x-1))+(11/(x-1)^2)+(165/(x-1)^4)+(330/(x-1)^5)+(462/(x-1)^6)+(462/(x-1)^7)+(330/(x-1)^8)+(165/(x-1)^9)+(55/(x-1)^10)+(11/(x-1)^11)+(1/(x-1)^12))))))+(1/(x-1)^2)+(1/(x-1)^6))
A257890 = (((1/165)*(A001288+(-((1/(x-1))+(11/(x-1)^2)+(55/(x-1)^3)+(330/(x-1)^5)+(462/(x-1)^6)+(462/(x-1)^7)+(330/(x-1)^8)+(165/(x-1)^9)+(55/(x-1)^10)+(11/(x-1)^11)+(1/(x-1)^12)))))+(1/(x-1)^2)+(1/(x-1)^6))
A257464 = (((7/1320)*integrate((A001288+(-((1/(x-1))+(11/(x-1)^2)+(55/(x-1)^3)+(330/(x-1)^5)+(462/(x-1)^6)+(462/(x-1)^7)+(330/(x-1)^8)+(165/(x-1)^9)+(55/(x-1)^10)+(11/(x-1)^11)+(1/(x-1)^12))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257464 = (((1/1320)*differential((A001288+(-((1/(x-1))+(11/(x-1)^2)+(55/(x-1)^3)+(330/(x-1)^5)+(462/(x-1)^6)+(462/(x-1)^7)+(330/(x-1)^8)+(165/(x-1)^9)+(55/(x-1)^10)+(11/(x-1)^11)+(1/(x-1)^12))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(7/24/(x-1)^3))+(-(1/2/(x-1)^4)))
A257464 = (((-(1/660))*(A001288+(-((1/(x-1))+(11/(x-1)^2)+(55/(x-1)^3)+(165/(x-1)^4)+(462/(x-1)^6)+(462/(x-1)^7)+(330/(x-1)^8)+(165/(x-1)^9)+(55/(x-1)^10)+(11/(x-1)^11)+(1/(x-1)^12)))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(7/24/(x-1)^3))+(-(1/2/(x-1)^4)))
A257890 = (((-(2/165))*integrate((A001288+(-((1/(x-1))+(11/(x-1)^2)+(55/(x-1)^3)+(165/(x-1)^4)+(462/(x-1)^6)+(462/(x-1)^7)+(330/(x-1)^8)+(165/(x-1)^9)+(55/(x-1)^10)+(11/(x-1)^11)+(1/(x-1)^12))))))+(1/(x-1)^2)+(1/(x-1)^6))
A257890 = (((-(1/1650))*differential((A001288+(-((1/(x-1))+(11/(x-1)^2)+(55/(x-1)^3)+(165/(x-1)^4)+(462/(x-1)^6)+(462/(x-1)^7)+(330/(x-1)^8)+(165/(x-1)^9)+(55/(x-1)^10)+(11/(x-1)^11)+(1/(x-1)^12))))))+(1/(x-1)^2)+(1/(x-1)^4))
A257890 = (((1/462)*(A001288+(-((1/(x-1))+(11/(x-1)^2)+(55/(x-1)^3)+(165/(x-1)^4)+(330/(x-1)^5)+(462/(x-1)^7)+(330/(x-1)^8)+(165/(x-1)^9)+(55/(x-1)^10)+(11/(x-1)^11)+(1/(x-1)^12)))))+(1/(x-1)^2)+(1/(x-1)^4))
A257464 = (((5/924)*integrate((A001288+(-((1/(x-1))+(11/(x-1)^2)+(55/(x-1)^3)+(165/(x-1)^4)+(330/(x-1)^5)+(462/(x-1)^7)+(330/(x-1)^8)+(165/(x-1)^9)+(55/(x-1)^10)+(11/(x-1)^11)+(1/(x-1)^12))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(7/24/(x-1)^3))+(-(1/2/(x-1)^4)))
A257201 = (((-(1/1386))*differential((A001288+(-((1/(x-1))+(11/(x-1)^2)+(55/(x-1)^3)+(165/(x-1)^4)+(330/(x-1)^5)+(462/(x-1)^7)+(330/(x-1)^8)+(165/(x-1)^9)+(55/(x-1)^10)+(11/(x-1)^11)+(1/(x-1)^12))))))+(1/(x-1)^5)+(2/(x-1)^6)+(1/(x-1)^8))
A257201 = (((1/231)*(A001288+(-((1/(x-1))+(11/(x-1)^2)+(55/(x-1)^3)+(165/(x-1)^4)+(330/(x-1)^5)+(462/(x-1)^6)+(330/(x-1)^8)+(165/(x-1)^9)+(55/(x-1)^10)+(11/(x-1)^11)+(1/(x-1)^12)))))+(1/(x-1)^5)+(2/(x-1)^6)+(1/(x-1)^8))
A257890 = (((-(1/77))*integrate((A001288+(-((1/(x-1))+(11/(x-1)^2)+(55/(x-1)^3)+(165/(x-1)^4)+(330/(x-1)^5)+(462/(x-1)^6)+(330/(x-1)^8)+(165/(x-1)^9)+(55/(x-1)^10)+(11/(x-1)^11)+(1/(x-1)^12))))))+(1/(x-1)^2)+(1/(x-1)^4))
A257201 = (((-(1/3234))*differential((A001288+(-((1/(x-1))+(11/(x-1)^2)+(55/(x-1)^3)+(165/(x-1)^4)+(330/(x-1)^5)+(462/(x-1)^6)+(330/(x-1)^8)+(165/(x-1)^9)+(55/(x-1)^10)+(11/(x-1)^11)+(1/(x-1)^12))))))+(1/(x-1)^5)+(2/(x-1)^6)+(2/(x-1)^7))
A257201 = (((1/330)*(A001288+(-((1/(x-1))+(11/(x-1)^2)+(55/(x-1)^3)+(165/(x-1)^4)+(330/(x-1)^5)+(462/(x-1)^6)+(462/(x-1)^7)+(165/(x-1)^9)+(55/(x-1)^10)+(11/(x-1)^11)+(1/(x-1)^12)))))+(1/(x-1)^5)+(2/(x-1)^6)+(2/(x-1)^7))
A257201 = (((-(7/165))*integrate((A001288+(-((1/(x-1))+(11/(x-1)^2)+(55/(x-1)^3)+(165/(x-1)^4)+(330/(x-1)^5)+(462/(x-1)^6)+(462/(x-1)^7)+(165/(x-1)^9)+(55/(x-1)^10)+(11/(x-1)^11)+(1/(x-1)^12))))))+(1/(x-1)^5)+(2/(x-1)^6)+(1/(x-1)^8))
A256181 = (((73603/2640)*differential((A001288+(-((1/(x-1))+(11/(x-1)^2)+(55/(x-1)^3)+(165/(x-1)^4)+(330/(x-1)^5)+(462/(x-1)^6)+(462/(x-1)^7)+(165/(x-1)^9)+(55/(x-1)^10)+(11/(x-1)^11)+(1/(x-1)^12))))))+(-(1/(x-1)))+(-(3/(x-1)^3))+(-(102/(x-1)^4))+(-(1305/(x-1)^5))+(-(7812/(x-1)^6))+(-(26333/(x-1)^7))+(-(54854/(x-1)^8))+(-(63976/(x-1)^10))+(-(34905/(x-1)^11))+(-(10890/(x-1)^12))+(-(1485/(x-1)^13))+(-1))
A256181 = (((-(73603/165))*(A001288+(-((1/(x-1))+(11/(x-1)^2)+(55/(x-1)^3)+(165/(x-1)^4)+(330/(x-1)^5)+(462/(x-1)^6)+(462/(x-1)^7)+(330/(x-1)^8)+(55/(x-1)^10)+(11/(x-1)^11)+(1/(x-1)^12)))))+(-(1/(x-1)))+(-(3/(x-1)^3))+(-(102/(x-1)^4))+(-(1305/(x-1)^5))+(-(7812/(x-1)^6))+(-(26333/(x-1)^7))+(-(54854/(x-1)^8))+(-(63976/(x-1)^10))+(-(34905/(x-1)^11))+(-(10890/(x-1)^12))+(-(1485/(x-1)^13))+(-1))
A257201 = (((-(8/165))*integrate((A001288+(-((1/(x-1))+(11/(x-1)^2)+(55/(x-1)^3)+(165/(x-1)^4)+(330/(x-1)^5)+(462/(x-1)^6)+(462/(x-1)^7)+(330/(x-1)^8)+(55/(x-1)^10)+(11/(x-1)^11)+(1/(x-1)^12))))))+(1/(x-1)^5)+(2/(x-1)^6)+(2/(x-1)^7))
A256181 = (((5816/135)*differential((A001288+(-((1/(x-1))+(11/(x-1)^2)+(55/(x-1)^3)+(165/(x-1)^4)+(330/(x-1)^5)+(462/(x-1)^6)+(462/(x-1)^7)+(330/(x-1)^8)+(55/(x-1)^10)+(11/(x-1)^11)+(1/(x-1)^12))))))+(-(1/(x-1)))+(-(3/(x-1)^3))+(-(102/(x-1)^4))+(-(1305/(x-1)^5))+(-(7812/(x-1)^6))+(-(26333/(x-1)^7))+(-(54854/(x-1)^8))+(-(73603/(x-1)^9))+(-(34905/(x-1)^11))+(-(10890/(x-1)^12))+(-(1485/(x-1)^13))+(-1))
A256181 = (((-(5816/5))*(A001288+(-((1/(x-1))+(11/(x-1)^2)+(55/(x-1)^3)+(165/(x-1)^4)+(330/(x-1)^5)+(462/(x-1)^6)+(462/(x-1)^7)+(330/(x-1)^8)+(165/(x-1)^9)+(11/(x-1)^11)+(1/(x-1)^12)))))+(-(1/(x-1)))+(-(3/(x-1)^3))+(-(102/(x-1)^4))+(-(1305/(x-1)^5))+(-(7812/(x-1)^6))+(-(26333/(x-1)^7))+(-(54854/(x-1)^8))+(-(73603/(x-1)^9))+(-(34905/(x-1)^11))+(-(10890/(x-1)^12))+(-(1485/(x-1)^13))+(-1))
A256181 = (((662427/55)*integrate((A001288+(-((1/(x-1))+(11/(x-1)^2)+(55/(x-1)^3)+(165/(x-1)^4)+(330/(x-1)^5)+(462/(x-1)^6)+(462/(x-1)^7)+(330/(x-1)^8)+(165/(x-1)^9)+(11/(x-1)^11)+(1/(x-1)^12))))))+(-(1/(x-1)))+(-(3/(x-1)^3))+(-(102/(x-1)^4))+(-(1305/(x-1)^5))+(-(7812/(x-1)^6))+(-(26333/(x-1)^7))+(-(54854/(x-1)^8))+(-(63976/(x-1)^10))+(-(34905/(x-1)^11))+(-(10890/(x-1)^12))+(-(1485/(x-1)^13))+(-1))
A256181 = (((6981/110)*differential((A001288+(-((1/(x-1))+(11/(x-1)^2)+(55/(x-1)^3)+(165/(x-1)^4)+(330/(x-1)^5)+(462/(x-1)^6)+(462/(x-1)^7)+(330/(x-1)^8)+(165/(x-1)^9)+(11/(x-1)^11)+(1/(x-1)^12))))))+(-(1/(x-1)))+(-(3/(x-1)^3))+(-(102/(x-1)^4))+(-(1305/(x-1)^5))+(-(7812/(x-1)^6))+(-(26333/(x-1)^7))+(-(54854/(x-1)^8))+(-(73603/(x-1)^9))+(-(63976/(x-1)^10))+(-(10890/(x-1)^12))+(-(1485/(x-1)^13))+(-1))
A256181 = (((-(34905/11))*(A001288+(-((1/(x-1))+(11/(x-1)^2)+(55/(x-1)^3)+(165/(x-1)^4)+(330/(x-1)^5)+(462/(x-1)^6)+(462/(x-1)^7)+(330/(x-1)^8)+(165/(x-1)^9)+(55/(x-1)^10)+(1/(x-1)^12)))))+(-(1/(x-1)))+(-(3/(x-1)^3))+(-(102/(x-1)^4))+(-(1305/(x-1)^5))+(-(7812/(x-1)^6))+(-(26333/(x-1)^7))+(-(54854/(x-1)^8))+(-(73603/(x-1)^9))+(-(63976/(x-1)^10))+(-(10890/(x-1)^12))+(-(1485/(x-1)^13))+(-1))
A256181 = ((58160*integrate((A001288+(-((1/(x-1))+(11/(x-1)^2)+(55/(x-1)^3)+(165/(x-1)^4)+(330/(x-1)^5)+(462/(x-1)^6)+(462/(x-1)^7)+(330/(x-1)^8)+(165/(x-1)^9)+(55/(x-1)^10)+(1/(x-1)^12))))))+(-(1/(x-1)))+(-(3/(x-1)^3))+(-(102/(x-1)^4))+(-(1305/(x-1)^5))+(-(7812/(x-1)^6))+(-(26333/(x-1)^7))+(-(54854/(x-1)^8))+(-(73603/(x-1)^9))+(-(34905/(x-1)^11))+(-(10890/(x-1)^12))+(-(1485/(x-1)^13))+(-1))
A256181 = ((90*differential((A001288+(-((1/(x-1))+(11/(x-1)^2)+(55/(x-1)^3)+(165/(x-1)^4)+(330/(x-1)^5)+(462/(x-1)^6)+(462/(x-1)^7)+(330/(x-1)^8)+(165/(x-1)^9)+(55/(x-1)^10)+(1/(x-1)^12))))))+(-(1/(x-1)))+(-(3/(x-1)^3))+(-(102/(x-1)^4))+(-(1305/(x-1)^5))+(-(7812/(x-1)^6))+(-(26333/(x-1)^7))+(-(54854/(x-1)^8))+(-(73603/(x-1)^9))+(-(63976/(x-1)^10))+(-(34905/(x-1)^11))+(-(1485/(x-1)^13))+(-1))
A256181 = (((-10890)*(A001288+(-((1/(x-1))+(11/(x-1)^2)+(55/(x-1)^3)+(165/(x-1)^4)+(330/(x-1)^5)+(462/(x-1)^6)+(462/(x-1)^7)+(330/(x-1)^8)+(165/(x-1)^9)+(55/(x-1)^10)+(11/(x-1)^11)))))+(-(1/(x-1)))+(-(3/(x-1)^3))+(-(102/(x-1)^4))+(-(1305/(x-1)^5))+(-(7812/(x-1)^6))+(-(26333/(x-1)^7))+(-(54854/(x-1)^8))+(-(73603/(x-1)^9))+(-(63976/(x-1)^10))+(-(34905/(x-1)^11))+(-(1485/(x-1)^13))+(-1))
A256181 = ((383955*integrate((A001288+(-((1/(x-1))+(11/(x-1)^2)+(55/(x-1)^3)+(165/(x-1)^4)+(330/(x-1)^5)+(462/(x-1)^6)+(462/(x-1)^7)+(330/(x-1)^8)+(165/(x-1)^9)+(55/(x-1)^10)+(11/(x-1)^11))))))+(-(1/(x-1)))+(-(3/(x-1)^3))+(-(102/(x-1)^4))+(-(1305/(x-1)^5))+(-(7812/(x-1)^6))+(-(26333/(x-1)^7))+(-(54854/(x-1)^8))+(-(73603/(x-1)^9))+(-(63976/(x-1)^10))+(-(10890/(x-1)^12))+(-(1485/(x-1)^13))+(-1))
A256181 = (((495/4)*differential((A001288+(-((1/(x-1))+(11/(x-1)^2)+(55/(x-1)^3)+(165/(x-1)^4)+(330/(x-1)^5)+(462/(x-1)^6)+(462/(x-1)^7)+(330/(x-1)^8)+(165/(x-1)^9)+(55/(x-1)^10)+(11/(x-1)^11))))))+(-(1/(x-1)))+(-(3/(x-1)^3))+(-(102/(x-1)^4))+(-(1305/(x-1)^5))+(-(7812/(x-1)^6))+(-(26333/(x-1)^7))+(-(54854/(x-1)^8))+(-(73603/(x-1)^9))+(-(63976/(x-1)^10))+(-(34905/(x-1)^11))+(-(10890/(x-1)^12))+(-1))
A257464 = (((7/48)*(A001296+(-((-(5/(x-1)^4))+(-(3/(x-1)^5))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257890 = ((1*integrate((A001296+(-((-(5/(x-1)^4))+(-(3/(x-1)^5)))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257890 = (((1/6)*differential((A001296+(-((-(5/(x-1)^4))+(-(3/(x-1)^5)))))))+(1/(x-1)^2)+(1/(x-1)^6))
A257890 = (((-(1/5))*(A001296+(-((-(2/(x-1)^3))+(-(3/(x-1)^5))))))+(1/(x-1)^2)+(1/(x-1)^6))
A257464 = (((-(7/40))*integrate((A001296+(-((-(2/(x-1)^3))+(-(3/(x-1)^5)))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257464 = (((-(1/40))*differential((A001296+(-((-(2/(x-1)^3))+(-(3/(x-1)^5)))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(7/24/(x-1)^3))+(-(1/2/(x-1)^4)))
A257464 = (((1/6)*(A001296+(-((-(2/(x-1)^3))+(-(5/(x-1)^4))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(7/24/(x-1)^3))+(-(1/2/(x-1)^4)))
A257890 = (((4/3)*integrate((A001296+(-((-(2/(x-1)^3))+(-(5/(x-1)^4)))))))+(1/(x-1)^2)+(1/(x-1)^6))
A257890 = (((1/15)*differential((A001296+(-((-(2/(x-1)^3))+(-(5/(x-1)^4)))))))+(1/(x-1)^2)+(1/(x-1)^4))
A257890 = (((-(1/6))*(A001297+(-((-(26/(x-1)^5))+(-(35/(x-1)^6))+(-(15/(x-1)^7))))))+(1/(x-1)^2)+(1/(x-1)^6))
A257464 = (((-(7/48))*integrate((A001297+(-((-(26/(x-1)^5))+(-(35/(x-1)^6))+(-(15/(x-1)^7)))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257464 = (((-(1/48))*differential((A001297+(-((-(26/(x-1)^5))+(-(35/(x-1)^6))+(-(15/(x-1)^7)))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(7/24/(x-1)^3))+(-(1/2/(x-1)^4)))
A257464 = (((1/52)*(A001297+(-((-(6/(x-1)^4))+(-(35/(x-1)^6))+(-(15/(x-1)^7))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(7/24/(x-1)^3))+(-(1/2/(x-1)^4)))
A257890 = (((2/13)*integrate((A001297+(-((-(6/(x-1)^4))+(-(35/(x-1)^6))+(-(15/(x-1)^7)))))))+(1/(x-1)^2)+(1/(x-1)^6))
A257890 = (((1/130)*differential((A001297+(-((-(6/(x-1)^4))+(-(35/(x-1)^6))+(-(15/(x-1)^7)))))))+(1/(x-1)^2)+(1/(x-1)^4))
A257890 = (((-(1/35))*(A001297+(-((-(6/(x-1)^4))+(-(26/(x-1)^5))+(-(15/(x-1)^7))))))+(1/(x-1)^2)+(1/(x-1)^4))
A257464 = (((-(1/14))*integrate((A001297+(-((-(6/(x-1)^4))+(-(26/(x-1)^5))+(-(15/(x-1)^7)))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(7/24/(x-1)^3))+(-(1/2/(x-1)^4)))
A257201 = (((1/105)*differential((A001297+(-((-(6/(x-1)^4))+(-(26/(x-1)^5))+(-(15/(x-1)^7)))))))+(1/(x-1)^5)+(2/(x-1)^6)+(1/(x-1)^8))
A257201 = (((-(2/15))*(A001297+(-((-(6/(x-1)^4))+(-(26/(x-1)^5))+(-(35/(x-1)^6))))))+(1/(x-1)^5)+(2/(x-1)^6)+(1/(x-1)^8))
A257890 = (((2/5)*integrate((A001297+(-((-(6/(x-1)^4))+(-(26/(x-1)^5))+(-(35/(x-1)^6)))))))+(1/(x-1)^2)+(1/(x-1)^4))
A257201 = (((1/105)*differential((A001297+(-((-(6/(x-1)^4))+(-(26/(x-1)^5))+(-(35/(x-1)^6)))))))+(1/(x-1)^5)+(2/(x-1)^6)+(2/(x-1)^7))
A257850 = ((4*differential((A001299+(-((((1/5)*(x^19+x^18+x^17+x^16+x^15+x^14+x^13+x^12+x^11+x^10))/(x^20+x^15+x^10+x^5+1))+(-(-(((1/5000)*((1190*x^3)+(1783*x^2)+(1853*x)+1470))/(x^4+x^3+x^2+x+1))))+(-(-(((1/40)*((2*x^3)+x^2+x+2))/((((x^4-x^3)+x^2)-x)+1))))+(-(-(((1/500)*((70*x^3)+(74*x^2)+(45*x)+14))/(x^4+x^3+x^2+x+1)^2)))+(-(-(1001/2000/(x-1))))+(-(((1/50)*(x^3-x-1))/(x^4+x^3+x^2+x+1)^3))+(-(597/5000/(x-1)^2))+(-(37/2500/(x-1)^3))+(1/1250/(x-1)^4))))))+(((1/5)*((15*x^3)+(4*x^2)+(8*x)+9))/((((x^4-x^3)+x^2)-x)+1))+(-(-(((1/5)*((11*x^3)+(16*x^2)+(15*x)+8))/(x^4+x^3+x^2+x+1))))+(-(-(((1/2)*((2*x^3)+(2*x^2)+x))/(x^4+x^3+x^2+x+1)^2)))+(-(-(((1/2)*(((2*x^2)-x)+2))/((((x^4-x^3)+x^2)-x)+1)^2)))+(-(1/2/(x+1)))+(-(33/10/(x-1)))+(9/20/(x-1)^2))
A257890 = (((-(2000/1001))*differential((A001299+(-((((1/5)*(x^19+x^18+x^17+x^16+x^15+x^14+x^13+x^12+x^11+x^10))/(x^20+x^15+x^10+x^5+1))+(-(-(((1/5000)*((1190*x^3)+(1783*x^2)+(1853*x)+1470))/(x^4+x^3+x^2+x+1))))+(-(-(((1/40)*((2*x^3)+x^2+x+2))/((((x^4-x^3)+x^2)-x)+1))))+(-(-(((1/500)*((70*x^3)+(74*x^2)+(45*x)+14))/(x^4+x^3+x^2+x+1)^2)))+(-(-(1/80/(x+1))))+(-(((1/50)*(x^3-x-1))/(x^4+x^3+x^2+x+1)^3))+(-(597/5000/(x-1)^2))+(-(37/2500/(x-1)^3))+(1/1250/(x-1)^4))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257890 = (((-(5000/597))*(A001299+(-((((1/5)*(x^19+x^18+x^17+x^16+x^15+x^14+x^13+x^12+x^11+x^10))/(x^20+x^15+x^10+x^5+1))+(-(-(((1/5000)*((1190*x^3)+(1783*x^2)+(1853*x)+1470))/(x^4+x^3+x^2+x+1))))+(-(-(((1/40)*((2*x^3)+x^2+x+2))/((((x^4-x^3)+x^2)-x)+1))))+(-(-(((1/500)*((70*x^3)+(74*x^2)+(45*x)+14))/(x^4+x^3+x^2+x+1)^2)))+(-(-(1/80/(x+1))))+(-(-(1001/2000/(x-1))))+(-(((1/50)*(x^3-x-1))/(x^4+x^3+x^2+x+1)^3))+(-(37/2500/(x-1)^3))+(1/1250/(x-1)^4)))))+(1/(x-1)^4)+(1/(x-1)^6))
A257464 = (((-(4375/3582))*differential((A001299+(-((((1/5)*(x^19+x^18+x^17+x^16+x^15+x^14+x^13+x^12+x^11+x^10))/(x^20+x^15+x^10+x^5+1))+(-(-(((1/5000)*((1190*x^3)+(1783*x^2)+(1853*x)+1470))/(x^4+x^3+x^2+x+1))))+(-(-(((1/40)*((2*x^3)+x^2+x+2))/((((x^4-x^3)+x^2)-x)+1))))+(-(-(((1/500)*((70*x^3)+(74*x^2)+(45*x)+14))/(x^4+x^3+x^2+x+1)^2)))+(-(-(1/80/(x+1))))+(-(-(1001/2000/(x-1))))+(-(((1/50)*(x^3-x-1))/(x^4+x^3+x^2+x+1)^3))+(-(37/2500/(x-1)^3))+(1/1250/(x-1)^4))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257464 = (((4375/222)*(A001299+(-((((1/5)*(x^19+x^18+x^17+x^16+x^15+x^14+x^13+x^12+x^11+x^10))/(x^20+x^15+x^10+x^5+1))+(-(-(((1/5000)*((1190*x^3)+(1783*x^2)+(1853*x)+1470))/(x^4+x^3+x^2+x+1))))+(-(-(((1/40)*((2*x^3)+x^2+x+2))/((((x^4-x^3)+x^2)-x)+1))))+(-(-(((1/500)*((70*x^3)+(74*x^2)+(45*x)+14))/(x^4+x^3+x^2+x+1)^2)))+(-(-(1/80/(x+1))))+(-(-(1001/2000/(x-1))))+(-(((1/50)*(x^3-x-1))/(x^4+x^3+x^2+x+1)^3))+(-(597/5000/(x-1)^2))+(1/1250/(x-1)^4)))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257890 = (((5000/37)*integrate((A001299+(-((((1/5)*(x^19+x^18+x^17+x^16+x^15+x^14+x^13+x^12+x^11+x^10))/(x^20+x^15+x^10+x^5+1))+(-(-(((1/5000)*((1190*x^3)+(1783*x^2)+(1853*x)+1470))/(x^4+x^3+x^2+x+1))))+(-(-(((1/40)*((2*x^3)+x^2+x+2))/((((x^4-x^3)+x^2)-x)+1))))+(-(-(((1/500)*((70*x^3)+(74*x^2)+(45*x)+14))/(x^4+x^3+x^2+x+1)^2)))+(-(-(1/80/(x+1))))+(-(-(1001/2000/(x-1))))+(-(((1/50)*(x^3-x-1))/(x^4+x^3+x^2+x+1)^3))+(-(597/5000/(x-1)^2))+(1/1250/(x-1)^4))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257890 = (((2500/111)*differential((A001299+(-((((1/5)*(x^19+x^18+x^17+x^16+x^15+x^14+x^13+x^12+x^11+x^10))/(x^20+x^15+x^10+x^5+1))+(-(-(((1/5000)*((1190*x^3)+(1783*x^2)+(1853*x)+1470))/(x^4+x^3+x^2+x+1))))+(-(-(((1/40)*((2*x^3)+x^2+x+2))/((((x^4-x^3)+x^2)-x)+1))))+(-(-(((1/500)*((70*x^3)+(74*x^2)+(45*x)+14))/(x^4+x^3+x^2+x+1)^2)))+(-(-(1/80/(x+1))))+(-(-(1001/2000/(x-1))))+(-(((1/50)*(x^3-x-1))/(x^4+x^3+x^2+x+1)^3))+(-(597/5000/(x-1)^2))+(1/1250/(x-1)^4))))))+(1/(x-1)^2)+(1/(x-1)^6))
A257890 = ((1250*(A001299+(-((((1/5)*(x^19+x^18+x^17+x^16+x^15+x^14+x^13+x^12+x^11+x^10))/(x^20+x^15+x^10+x^5+1))+(-(-(((1/5000)*((1190*x^3)+(1783*x^2)+(1853*x)+1470))/(x^4+x^3+x^2+x+1))))+(-(-(((1/40)*((2*x^3)+x^2+x+2))/((((x^4-x^3)+x^2)-x)+1))))+(-(-(((1/500)*((70*x^3)+(74*x^2)+(45*x)+14))/(x^4+x^3+x^2+x+1)^2)))+(-(-(1/80/(x+1))))+(-(-(1001/2000/(x-1))))+(-(((1/50)*(x^3-x-1))/(x^4+x^3+x^2+x+1)^3))+(-(597/5000/(x-1)^2))+(-(37/2500/(x-1)^3))))))+(1/(x-1)^2)+(1/(x-1)^6))
A257464 = (((4375/4)*integrate((A001299+(-((((1/5)*(x^19+x^18+x^17+x^16+x^15+x^14+x^13+x^12+x^11+x^10))/(x^20+x^15+x^10+x^5+1))+(-(-(((1/5000)*((1190*x^3)+(1783*x^2)+(1853*x)+1470))/(x^4+x^3+x^2+x+1))))+(-(-(((1/40)*((2*x^3)+x^2+x+2))/((((x^4-x^3)+x^2)-x)+1))))+(-(-(((1/500)*((70*x^3)+(74*x^2)+(45*x)+14))/(x^4+x^3+x^2+x+1)^2)))+(-(-(1/80/(x+1))))+(-(-(1001/2000/(x-1))))+(-(((1/50)*(x^3-x-1))/(x^4+x^3+x^2+x+1)^3))+(-(597/5000/(x-1)^2))+(-(37/2500/(x-1)^3)))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257464 = (((625/4)*differential((A001299+(-((((1/5)*(x^19+x^18+x^17+x^16+x^15+x^14+x^13+x^12+x^11+x^10))/(x^20+x^15+x^10+x^5+1))+(-(-(((1/5000)*((1190*x^3)+(1783*x^2)+(1853*x)+1470))/(x^4+x^3+x^2+x+1))))+(-(-(((1/40)*((2*x^3)+x^2+x+2))/((((x^4-x^3)+x^2)-x)+1))))+(-(-(((1/500)*((70*x^3)+(74*x^2)+(45*x)+14))/(x^4+x^3+x^2+x+1)^2)))+(-(-(1/80/(x+1))))+(-(-(1001/2000/(x-1))))+(-(((1/50)*(x^3-x-1))/(x^4+x^3+x^2+x+1)^3))+(-(597/5000/(x-1)^2))+(-(37/2500/(x-1)^3)))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(7/24/(x-1)^3))+(-(1/2/(x-1)^4)))
A257850 = (((-(400/89))*differential((A001300+(-((((1/500)*((93*x^19)+(93*x^18)+(93*x^17)+(93*x^16)+(93*x^15)+(101*x^14)+(101*x^13)+(101*x^12)+(101*x^11)+(101*x^10)+(44*x^9)+(44*x^8)+(44*x^7)+(44*x^6)+(44*x^5)+(32*x^4)+(32*x^3)+(32*x^2)+(32*x)+32))/(x^20+x^15+x^10+x^5+1))+(-(-(-(((1/20)*(((3*x^19)+(3*x^18)+(3*x^17)+(3*x^16)+(3*x^15))-(3*x^14)-(3*x^13)-(3*x^12)-(3*x^11)-(3*x^10)-(4*x^4)-(4*x^3)-(4*x^2)-(4*x)-4))/((((x^20-x^15)+x^10)-x^5)+1)))))+(-(-(-(((1/1250000)*((328684*x^3)+(492588*x^2)+(507927*x)+390056))/(x^4+x^3+x^2+x+1)))))+(-(-(-(((1/2000)*((84*x^3)+(44*x^2)+(41*x)+86))/((((x^4-x^3)+x^2)-x)+1)))))+(-(-(-(((1/50)*(((2*x^19)+(2*x^18)+(2*x^17)+(2*x^16)+(2*x^15))-x^14-x^13-x^12-x^11-x^10-(4*x^9)-(4*x^8)-(4*x^7)-(4*x^6)-(4*x^5)-(2*x^4)-(2*x^3)-(2*x^2)-(2*x)-2))/(x^20+x^15+x^10+x^5+1)^2))))+(-(-(-(((1/250000)*((30698*x^3)+(32346*x^2)+(19479*x)+5812))/(x^4+x^3+x^2+x+1)^2))))+(-(-(-(((1/400)*(((2*x^2)-x)+2))/((((x^4-x^3)+x^2)-x)+1)^2))))+(-(-(-(3260361/5000000/(x-1)))))+(-(-(((1/12500)*(((213*x^3)+(26*x^2))-(171*x)-183))/(x^4+x^3+x^2+x+1)^3)))+(-(-(1/4000/(x+1)^2)))+(-(-(8239/62500/(x-1)^2)))+(-(-(((1/2500)*(x^3+(7*x^2)+(8*x)+4))/(x^4+x^3+x^2+x+1)^4)))+(-(-(3243/250000/(x-1)^3)))+(-(43/62500/(x-1)^4))+(-(1/62500/(x-1)^5)))))))+(((1/5)*((15*x^3)+(4*x^2)+(8*x)+9))/((((x^4-x^3)+x^2)-x)+1))+(-(-(((1/5)*((11*x^3)+(16*x^2)+(15*x)+8))/(x^4+x^3+x^2+x+1))))+(-(-(((1/2)*((2*x^3)+(2*x^2)+x))/(x^4+x^3+x^2+x+1)^2)))+(-(-(((1/2)*(((2*x^2)-x)+2))/((((x^4-x^3)+x^2)-x)+1)^2)))+(-(1/2/(x+1)))+(-(33/10/(x-1)))+(9/20/(x-1)^2))
A257890 = (((5000000/3260361)*differential((A001300+(-((((1/500)*((93*x^19)+(93*x^18)+(93*x^17)+(93*x^16)+(93*x^15)+(101*x^14)+(101*x^13)+(101*x^12)+(101*x^11)+(101*x^10)+(44*x^9)+(44*x^8)+(44*x^7)+(44*x^6)+(44*x^5)+(32*x^4)+(32*x^3)+(32*x^2)+(32*x)+32))/(x^20+x^15+x^10+x^5+1))+(-(-(-(((1/20)*(((3*x^19)+(3*x^18)+(3*x^17)+(3*x^16)+(3*x^15))-(3*x^14)-(3*x^13)-(3*x^12)-(3*x^11)-(3*x^10)-(4*x^4)-(4*x^3)-(4*x^2)-(4*x)-4))/((((x^20-x^15)+x^10)-x^5)+1)))))+(-(-(-(((1/1250000)*((328684*x^3)+(492588*x^2)+(507927*x)+390056))/(x^4+x^3+x^2+x+1)))))+(-(-(-(((1/2000)*((84*x^3)+(44*x^2)+(41*x)+86))/((((x^4-x^3)+x^2)-x)+1)))))+(-(-(-(((1/50)*(((2*x^19)+(2*x^18)+(2*x^17)+(2*x^16)+(2*x^15))-x^14-x^13-x^12-x^11-x^10-(4*x^9)-(4*x^8)-(4*x^7)-(4*x^6)-(4*x^5)-(2*x^4)-(2*x^3)-(2*x^2)-(2*x)-2))/(x^20+x^15+x^10+x^5+1)^2))))+(-(-(-(((1/250000)*((30698*x^3)+(32346*x^2)+(19479*x)+5812))/(x^4+x^3+x^2+x+1)^2))))+(-(-(-(((1/400)*(((2*x^2)-x)+2))/((((x^4-x^3)+x^2)-x)+1)^2))))+(-(-(-(89/8000/(x+1)))))+(-(-(((1/12500)*(((213*x^3)+(26*x^2))-(171*x)-183))/(x^4+x^3+x^2+x+1)^3)))+(-(-(1/4000/(x+1)^2)))+(-(-(8239/62500/(x-1)^2)))+(-(-(((1/2500)*(x^3+(7*x^2)+(8*x)+4))/(x^4+x^3+x^2+x+1)^4)))+(-(-(3243/250000/(x-1)^3)))+(-(43/62500/(x-1)^4))+(-(1/62500/(x-1)^5)))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257850 = (((-200)*(A001300+(-((((1/500)*((93*x^19)+(93*x^18)+(93*x^17)+(93*x^16)+(93*x^15)+(101*x^14)+(101*x^13)+(101*x^12)+(101*x^11)+(101*x^10)+(44*x^9)+(44*x^8)+(44*x^7)+(44*x^6)+(44*x^5)+(32*x^4)+(32*x^3)+(32*x^2)+(32*x)+32))/(x^20+x^15+x^10+x^5+1))+(-(-(-(((1/20)*(((3*x^19)+(3*x^18)+(3*x^17)+(3*x^16)+(3*x^15))-(3*x^14)-(3*x^13)-(3*x^12)-(3*x^11)-(3*x^10)-(4*x^4)-(4*x^3)-(4*x^2)-(4*x)-4))/((((x^20-x^15)+x^10)-x^5)+1)))))+(-(-(-(((1/1250000)*((328684*x^3)+(492588*x^2)+(507927*x)+390056))/(x^4+x^3+x^2+x+1)))))+(-(-(-(((1/2000)*((84*x^3)+(44*x^2)+(41*x)+86))/((((x^4-x^3)+x^2)-x)+1)))))+(-(-(-(((1/50)*(((2*x^19)+(2*x^18)+(2*x^17)+(2*x^16)+(2*x^15))-x^14-x^13-x^12-x^11-x^10-(4*x^9)-(4*x^8)-(4*x^7)-(4*x^6)-(4*x^5)-(2*x^4)-(2*x^3)-(2*x^2)-(2*x)-2))/(x^20+x^15+x^10+x^5+1)^2))))+(-(-(-(((1/250000)*((30698*x^3)+(32346*x^2)+(19479*x)+5812))/(x^4+x^3+x^2+x+1)^2))))+(-(-(-(((1/400)*(((2*x^2)-x)+2))/((((x^4-x^3)+x^2)-x)+1)^2))))+(-(-(-(89/8000/(x+1)))))+(-(-(-(3260361/5000000/(x-1)))))+(-(-(((1/12500)*(((213*x^3)+(26*x^2))-(171*x)-183))/(x^4+x^3+x^2+x+1)^3)))+(-(-(8239/62500/(x-1)^2)))+(-(-(((1/2500)*(x^3+(7*x^2)+(8*x)+4))/(x^4+x^3+x^2+x+1)^4)))+(-(-(3243/250000/(x-1)^3)))+(-(43/62500/(x-1)^4))+(-(1/62500/(x-1)^5))))))+(((1/5)*((15*x^3)+(4*x^2)+(8*x)+9))/((((x^4-x^3)+x^2)-x)+1))+(-(-(((1/5)*((11*x^3)+(16*x^2)+(15*x)+8))/(x^4+x^3+x^2+x+1))))+(-(-(((1/2)*((2*x^3)+(2*x^2)+x))/(x^4+x^3+x^2+x+1)^2)))+(-(-(((1/2)*(((2*x^2)-x)+2))/((((x^4-x^3)+x^2)-x)+1)^2)))+(-(1/2/(x+1)))+(-(33/10/(x-1)))+(9/20/(x-1)^2))
A257171 = ((250*differential((A001300+(-((((1/500)*((93*x^19)+(93*x^18)+(93*x^17)+(93*x^16)+(93*x^15)+(101*x^14)+(101*x^13)+(101*x^12)+(101*x^11)+(101*x^10)+(44*x^9)+(44*x^8)+(44*x^7)+(44*x^6)+(44*x^5)+(32*x^4)+(32*x^3)+(32*x^2)+(32*x)+32))/(x^20+x^15+x^10+x^5+1))+(-(-(-(((1/20)*(((3*x^19)+(3*x^18)+(3*x^17)+(3*x^16)+(3*x^15))-(3*x^14)-(3*x^13)-(3*x^12)-(3*x^11)-(3*x^10)-(4*x^4)-(4*x^3)-(4*x^2)-(4*x)-4))/((((x^20-x^15)+x^10)-x^5)+1)))))+(-(-(-(((1/1250000)*((328684*x^3)+(492588*x^2)+(507927*x)+390056))/(x^4+x^3+x^2+x+1)))))+(-(-(-(((1/2000)*((84*x^3)+(44*x^2)+(41*x)+86))/((((x^4-x^3)+x^2)-x)+1)))))+(-(-(-(((1/50)*(((2*x^19)+(2*x^18)+(2*x^17)+(2*x^16)+(2*x^15))-x^14-x^13-x^12-x^11-x^10-(4*x^9)-(4*x^8)-(4*x^7)-(4*x^6)-(4*x^5)-(2*x^4)-(2*x^3)-(2*x^2)-(2*x)-2))/(x^20+x^15+x^10+x^5+1)^2))))+(-(-(-(((1/250000)*((30698*x^3)+(32346*x^2)+(19479*x)+5812))/(x^4+x^3+x^2+x+1)^2))))+(-(-(-(((1/400)*(((2*x^2)-x)+2))/((((x^4-x^3)+x^2)-x)+1)^2))))+(-(-(-(89/8000/(x+1)))))+(-(-(-(3260361/5000000/(x-1)))))+(-(-(((1/12500)*(((213*x^3)+(26*x^2))-(171*x)-183))/(x^4+x^3+x^2+x+1)^3)))+(-(-(8239/62500/(x-1)^2)))+(-(-(((1/2500)*(x^3+(7*x^2)+(8*x)+4))/(x^4+x^3+x^2+x+1)^4)))+(-(-(3243/250000/(x-1)^3)))+(-(43/62500/(x-1)^4))+(-(1/62500/(x-1)^5)))))))+(2*x)+(-(-(3/8/(x+1))))+(-(-(3/8/(x-1))))+(-(3/4/(x-1)^2))+(-(3/8/(x-1)^3))+(-(3/4/(x-1)^4))+(-1))
A257890 = (((62500/8239)*(A001300+(-((((1/500)*((93*x^19)+(93*x^18)+(93*x^17)+(93*x^16)+(93*x^15)+(101*x^14)+(101*x^13)+(101*x^12)+(101*x^11)+(101*x^10)+(44*x^9)+(44*x^8)+(44*x^7)+(44*x^6)+(44*x^5)+(32*x^4)+(32*x^3)+(32*x^2)+(32*x)+32))/(x^20+x^15+x^10+x^5+1))+(-(-(-(((1/20)*(((3*x^19)+(3*x^18)+(3*x^17)+(3*x^16)+(3*x^15))-(3*x^14)-(3*x^13)-(3*x^12)-(3*x^11)-(3*x^10)-(4*x^4)-(4*x^3)-(4*x^2)-(4*x)-4))/((((x^20-x^15)+x^10)-x^5)+1)))))+(-(-(-(((1/1250000)*((328684*x^3)+(492588*x^2)+(507927*x)+390056))/(x^4+x^3+x^2+x+1)))))+(-(-(-(((1/2000)*((84*x^3)+(44*x^2)+(41*x)+86))/((((x^4-x^3)+x^2)-x)+1)))))+(-(-(-(((1/50)*(((2*x^19)+(2*x^18)+(2*x^17)+(2*x^16)+(2*x^15))-x^14-x^13-x^12-x^11-x^10-(4*x^9)-(4*x^8)-(4*x^7)-(4*x^6)-(4*x^5)-(2*x^4)-(2*x^3)-(2*x^2)-(2*x)-2))/(x^20+x^15+x^10+x^5+1)^2))))+(-(-(-(((1/250000)*((30698*x^3)+(32346*x^2)+(19479*x)+5812))/(x^4+x^3+x^2+x+1)^2))))+(-(-(-(((1/400)*(((2*x^2)-x)+2))/((((x^4-x^3)+x^2)-x)+1)^2))))+(-(-(-(89/8000/(x+1)))))+(-(-(-(3260361/5000000/(x-1)))))+(-(-(((1/12500)*(((213*x^3)+(26*x^2))-(171*x)-183))/(x^4+x^3+x^2+x+1)^3)))+(-(-(1/4000/(x+1)^2)))+(-(-(((1/2500)*(x^3+(7*x^2)+(8*x)+4))/(x^4+x^3+x^2+x+1)^4)))+(-(-(3243/250000/(x-1)^3)))+(-(43/62500/(x-1)^4))+(-(1/62500/(x-1)^5))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257464 = (((15625/14124)*differential((A001300+(-((((1/500)*((93*x^19)+(93*x^18)+(93*x^17)+(93*x^16)+(93*x^15)+(101*x^14)+(101*x^13)+(101*x^12)+(101*x^11)+(101*x^10)+(44*x^9)+(44*x^8)+(44*x^7)+(44*x^6)+(44*x^5)+(32*x^4)+(32*x^3)+(32*x^2)+(32*x)+32))/(x^20+x^15+x^10+x^5+1))+(-(-(-(((1/20)*(((3*x^19)+(3*x^18)+(3*x^17)+(3*x^16)+(3*x^15))-(3*x^14)-(3*x^13)-(3*x^12)-(3*x^11)-(3*x^10)-(4*x^4)-(4*x^3)-(4*x^2)-(4*x)-4))/((((x^20-x^15)+x^10)-x^5)+1)))))+(-(-(-(((1/1250000)*((328684*x^3)+(492588*x^2)+(507927*x)+390056))/(x^4+x^3+x^2+x+1)))))+(-(-(-(((1/2000)*((84*x^3)+(44*x^2)+(41*x)+86))/((((x^4-x^3)+x^2)-x)+1)))))+(-(-(-(((1/50)*(((2*x^19)+(2*x^18)+(2*x^17)+(2*x^16)+(2*x^15))-x^14-x^13-x^12-x^11-x^10-(4*x^9)-(4*x^8)-(4*x^7)-(4*x^6)-(4*x^5)-(2*x^4)-(2*x^3)-(2*x^2)-(2*x)-2))/(x^20+x^15+x^10+x^5+1)^2))))+(-(-(-(((1/250000)*((30698*x^3)+(32346*x^2)+(19479*x)+5812))/(x^4+x^3+x^2+x+1)^2))))+(-(-(-(((1/400)*(((2*x^2)-x)+2))/((((x^4-x^3)+x^2)-x)+1)^2))))+(-(-(-(89/8000/(x+1)))))+(-(-(-(3260361/5000000/(x-1)))))+(-(-(((1/12500)*(((213*x^3)+(26*x^2))-(171*x)-183))/(x^4+x^3+x^2+x+1)^3)))+(-(-(1/4000/(x+1)^2)))+(-(-(((1/2500)*(x^3+(7*x^2)+(8*x)+4))/(x^4+x^3+x^2+x+1)^4)))+(-(-(3243/250000/(x-1)^3)))+(-(43/62500/(x-1)^4))+(-(1/62500/(x-1)^5)))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257464 = (((-(218750/9729))*(A001300+(-((((1/500)*((93*x^19)+(93*x^18)+(93*x^17)+(93*x^16)+(93*x^15)+(101*x^14)+(101*x^13)+(101*x^12)+(101*x^11)+(101*x^10)+(44*x^9)+(44*x^8)+(44*x^7)+(44*x^6)+(44*x^5)+(32*x^4)+(32*x^3)+(32*x^2)+(32*x)+32))/(x^20+x^15+x^10+x^5+1))+(-(-(-(((1/20)*(((3*x^19)+(3*x^18)+(3*x^17)+(3*x^16)+(3*x^15))-(3*x^14)-(3*x^13)-(3*x^12)-(3*x^11)-(3*x^10)-(4*x^4)-(4*x^3)-(4*x^2)-(4*x)-4))/((((x^20-x^15)+x^10)-x^5)+1)))))+(-(-(-(((1/1250000)*((328684*x^3)+(492588*x^2)+(507927*x)+390056))/(x^4+x^3+x^2+x+1)))))+(-(-(-(((1/2000)*((84*x^3)+(44*x^2)+(41*x)+86))/((((x^4-x^3)+x^2)-x)+1)))))+(-(-(-(((1/50)*(((2*x^19)+(2*x^18)+(2*x^17)+(2*x^16)+(2*x^15))-x^14-x^13-x^12-x^11-x^10-(4*x^9)-(4*x^8)-(4*x^7)-(4*x^6)-(4*x^5)-(2*x^4)-(2*x^3)-(2*x^2)-(2*x)-2))/(x^20+x^15+x^10+x^5+1)^2))))+(-(-(-(((1/250000)*((30698*x^3)+(32346*x^2)+(19479*x)+5812))/(x^4+x^3+x^2+x+1)^2))))+(-(-(-(((1/400)*(((2*x^2)-x)+2))/((((x^4-x^3)+x^2)-x)+1)^2))))+(-(-(-(89/8000/(x+1)))))+(-(-(-(3260361/5000000/(x-1)))))+(-(-(((1/12500)*(((213*x^3)+(26*x^2))-(171*x)-183))/(x^4+x^3+x^2+x+1)^3)))+(-(-(1/4000/(x+1)^2)))+(-(-(8239/62500/(x-1)^2)))+(-(-(((1/2500)*(x^3+(7*x^2)+(8*x)+4))/(x^4+x^3+x^2+x+1)^4)))+(-(43/62500/(x-1)^4))+(-(1/62500/(x-1)^5))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257890 = (((-(500000/3243))*integrate((A001300+(-((((1/500)*((93*x^19)+(93*x^18)+(93*x^17)+(93*x^16)+(93*x^15)+(101*x^14)+(101*x^13)+(101*x^12)+(101*x^11)+(101*x^10)+(44*x^9)+(44*x^8)+(44*x^7)+(44*x^6)+(44*x^5)+(32*x^4)+(32*x^3)+(32*x^2)+(32*x)+32))/(x^20+x^15+x^10+x^5+1))+(-(-(-(((1/20)*(((3*x^19)+(3*x^18)+(3*x^17)+(3*x^16)+(3*x^15))-(3*x^14)-(3*x^13)-(3*x^12)-(3*x^11)-(3*x^10)-(4*x^4)-(4*x^3)-(4*x^2)-(4*x)-4))/((((x^20-x^15)+x^10)-x^5)+1)))))+(-(-(-(((1/1250000)*((328684*x^3)+(492588*x^2)+(507927*x)+390056))/(x^4+x^3+x^2+x+1)))))+(-(-(-(((1/2000)*((84*x^3)+(44*x^2)+(41*x)+86))/((((x^4-x^3)+x^2)-x)+1)))))+(-(-(-(((1/50)*(((2*x^19)+(2*x^18)+(2*x^17)+(2*x^16)+(2*x^15))-x^14-x^13-x^12-x^11-x^10-(4*x^9)-(4*x^8)-(4*x^7)-(4*x^6)-(4*x^5)-(2*x^4)-(2*x^3)-(2*x^2)-(2*x)-2))/(x^20+x^15+x^10+x^5+1)^2))))+(-(-(-(((1/250000)*((30698*x^3)+(32346*x^2)+(19479*x)+5812))/(x^4+x^3+x^2+x+1)^2))))+(-(-(-(((1/400)*(((2*x^2)-x)+2))/((((x^4-x^3)+x^2)-x)+1)^2))))+(-(-(-(89/8000/(x+1)))))+(-(-(-(3260361/5000000/(x-1)))))+(-(-(((1/12500)*(((213*x^3)+(26*x^2))-(171*x)-183))/(x^4+x^3+x^2+x+1)^3)))+(-(-(1/4000/(x+1)^2)))+(-(-(8239/62500/(x-1)^2)))+(-(-(((1/2500)*(x^3+(7*x^2)+(8*x)+4))/(x^4+x^3+x^2+x+1)^4)))+(-(43/62500/(x-1)^4))+(-(1/62500/(x-1)^5)))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257890 = (((-(250000/9729))*differential((A001300+(-((((1/500)*((93*x^19)+(93*x^18)+(93*x^17)+(93*x^16)+(93*x^15)+(101*x^14)+(101*x^13)+(101*x^12)+(101*x^11)+(101*x^10)+(44*x^9)+(44*x^8)+(44*x^7)+(44*x^6)+(44*x^5)+(32*x^4)+(32*x^3)+(32*x^2)+(32*x)+32))/(x^20+x^15+x^10+x^5+1))+(-(-(-(((1/20)*(((3*x^19)+(3*x^18)+(3*x^17)+(3*x^16)+(3*x^15))-(3*x^14)-(3*x^13)-(3*x^12)-(3*x^11)-(3*x^10)-(4*x^4)-(4*x^3)-(4*x^2)-(4*x)-4))/((((x^20-x^15)+x^10)-x^5)+1)))))+(-(-(-(((1/1250000)*((328684*x^3)+(492588*x^2)+(507927*x)+390056))/(x^4+x^3+x^2+x+1)))))+(-(-(-(((1/2000)*((84*x^3)+(44*x^2)+(41*x)+86))/((((x^4-x^3)+x^2)-x)+1)))))+(-(-(-(((1/50)*(((2*x^19)+(2*x^18)+(2*x^17)+(2*x^16)+(2*x^15))-x^14-x^13-x^12-x^11-x^10-(4*x^9)-(4*x^8)-(4*x^7)-(4*x^6)-(4*x^5)-(2*x^4)-(2*x^3)-(2*x^2)-(2*x)-2))/(x^20+x^15+x^10+x^5+1)^2))))+(-(-(-(((1/250000)*((30698*x^3)+(32346*x^2)+(19479*x)+5812))/(x^4+x^3+x^2+x+1)^2))))+(-(-(-(((1/400)*(((2*x^2)-x)+2))/((((x^4-x^3)+x^2)-x)+1)^2))))+(-(-(-(89/8000/(x+1)))))+(-(-(-(3260361/5000000/(x-1)))))+(-(-(((1/12500)*(((213*x^3)+(26*x^2))-(171*x)-183))/(x^4+x^3+x^2+x+1)^3)))+(-(-(1/4000/(x+1)^2)))+(-(-(8239/62500/(x-1)^2)))+(-(-(((1/2500)*(x^3+(7*x^2)+(8*x)+4))/(x^4+x^3+x^2+x+1)^4)))+(-(43/62500/(x-1)^4))+(-(1/62500/(x-1)^5)))))))+(1/(x-1)^2)+(1/(x-1)^6))
A257890 = (((-(62500/43))*(A001300+(-((((1/500)*((93*x^19)+(93*x^18)+(93*x^17)+(93*x^16)+(93*x^15)+(101*x^14)+(101*x^13)+(101*x^12)+(101*x^11)+(101*x^10)+(44*x^9)+(44*x^8)+(44*x^7)+(44*x^6)+(44*x^5)+(32*x^4)+(32*x^3)+(32*x^2)+(32*x)+32))/(x^20+x^15+x^10+x^5+1))+(-(-(-(((1/20)*(((3*x^19)+(3*x^18)+(3*x^17)+(3*x^16)+(3*x^15))-(3*x^14)-(3*x^13)-(3*x^12)-(3*x^11)-(3*x^10)-(4*x^4)-(4*x^3)-(4*x^2)-(4*x)-4))/((((x^20-x^15)+x^10)-x^5)+1)))))+(-(-(-(((1/1250000)*((328684*x^3)+(492588*x^2)+(507927*x)+390056))/(x^4+x^3+x^2+x+1)))))+(-(-(-(((1/2000)*((84*x^3)+(44*x^2)+(41*x)+86))/((((x^4-x^3)+x^2)-x)+1)))))+(-(-(-(((1/50)*(((2*x^19)+(2*x^18)+(2*x^17)+(2*x^16)+(2*x^15))-x^14-x^13-x^12-x^11-x^10-(4*x^9)-(4*x^8)-(4*x^7)-(4*x^6)-(4*x^5)-(2*x^4)-(2*x^3)-(2*x^2)-(2*x)-2))/(x^20+x^15+x^10+x^5+1)^2))))+(-(-(-(((1/250000)*((30698*x^3)+(32346*x^2)+(19479*x)+5812))/(x^4+x^3+x^2+x+1)^2))))+(-(-(-(((1/400)*(((2*x^2)-x)+2))/((((x^4-x^3)+x^2)-x)+1)^2))))+(-(-(-(89/8000/(x+1)))))+(-(-(-(3260361/5000000/(x-1)))))+(-(-(((1/12500)*(((213*x^3)+(26*x^2))-(171*x)-183))/(x^4+x^3+x^2+x+1)^3)))+(-(-(1/4000/(x+1)^2)))+(-(-(8239/62500/(x-1)^2)))+(-(-(((1/2500)*(x^3+(7*x^2)+(8*x)+4))/(x^4+x^3+x^2+x+1)^4)))+(-(-(3243/250000/(x-1)^3)))+(-(1/62500/(x-1)^5))))))+(1/(x-1)^2)+(1/(x-1)^6))
A257464 = (((-(109375/86))*integrate((A001300+(-((((1/500)*((93*x^19)+(93*x^18)+(93*x^17)+(93*x^16)+(93*x^15)+(101*x^14)+(101*x^13)+(101*x^12)+(101*x^11)+(101*x^10)+(44*x^9)+(44*x^8)+(44*x^7)+(44*x^6)+(44*x^5)+(32*x^4)+(32*x^3)+(32*x^2)+(32*x)+32))/(x^20+x^15+x^10+x^5+1))+(-(-(-(((1/20)*(((3*x^19)+(3*x^18)+(3*x^17)+(3*x^16)+(3*x^15))-(3*x^14)-(3*x^13)-(3*x^12)-(3*x^11)-(3*x^10)-(4*x^4)-(4*x^3)-(4*x^2)-(4*x)-4))/((((x^20-x^15)+x^10)-x^5)+1)))))+(-(-(-(((1/1250000)*((328684*x^3)+(492588*x^2)+(507927*x)+390056))/(x^4+x^3+x^2+x+1)))))+(-(-(-(((1/2000)*((84*x^3)+(44*x^2)+(41*x)+86))/((((x^4-x^3)+x^2)-x)+1)))))+(-(-(-(((1/50)*(((2*x^19)+(2*x^18)+(2*x^17)+(2*x^16)+(2*x^15))-x^14-x^13-x^12-x^11-x^10-(4*x^9)-(4*x^8)-(4*x^7)-(4*x^6)-(4*x^5)-(2*x^4)-(2*x^3)-(2*x^2)-(2*x)-2))/(x^20+x^15+x^10+x^5+1)^2))))+(-(-(-(((1/250000)*((30698*x^3)+(32346*x^2)+(19479*x)+5812))/(x^4+x^3+x^2+x+1)^2))))+(-(-(-(((1/400)*(((2*x^2)-x)+2))/((((x^4-x^3)+x^2)-x)+1)^2))))+(-(-(-(89/8000/(x+1)))))+(-(-(-(3260361/5000000/(x-1)))))+(-(-(((1/12500)*(((213*x^3)+(26*x^2))-(171*x)-183))/(x^4+x^3+x^2+x+1)^3)))+(-(-(1/4000/(x+1)^2)))+(-(-(8239/62500/(x-1)^2)))+(-(-(((1/2500)*(x^3+(7*x^2)+(8*x)+4))/(x^4+x^3+x^2+x+1)^4)))+(-(-(3243/250000/(x-1)^3)))+(-(1/62500/(x-1)^5)))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257464 = (((-(15625/86))*differential((A001300+(-((((1/500)*((93*x^19)+(93*x^18)+(93*x^17)+(93*x^16)+(93*x^15)+(101*x^14)+(101*x^13)+(101*x^12)+(101*x^11)+(101*x^10)+(44*x^9)+(44*x^8)+(44*x^7)+(44*x^6)+(44*x^5)+(32*x^4)+(32*x^3)+(32*x^2)+(32*x)+32))/(x^20+x^15+x^10+x^5+1))+(-(-(-(((1/20)*(((3*x^19)+(3*x^18)+(3*x^17)+(3*x^16)+(3*x^15))-(3*x^14)-(3*x^13)-(3*x^12)-(3*x^11)-(3*x^10)-(4*x^4)-(4*x^3)-(4*x^2)-(4*x)-4))/((((x^20-x^15)+x^10)-x^5)+1)))))+(-(-(-(((1/1250000)*((328684*x^3)+(492588*x^2)+(507927*x)+390056))/(x^4+x^3+x^2+x+1)))))+(-(-(-(((1/2000)*((84*x^3)+(44*x^2)+(41*x)+86))/((((x^4-x^3)+x^2)-x)+1)))))+(-(-(-(((1/50)*(((2*x^19)+(2*x^18)+(2*x^17)+(2*x^16)+(2*x^15))-x^14-x^13-x^12-x^11-x^10-(4*x^9)-(4*x^8)-(4*x^7)-(4*x^6)-(4*x^5)-(2*x^4)-(2*x^3)-(2*x^2)-(2*x)-2))/(x^20+x^15+x^10+x^5+1)^2))))+(-(-(-(((1/250000)*((30698*x^3)+(32346*x^2)+(19479*x)+5812))/(x^4+x^3+x^2+x+1)^2))))+(-(-(-(((1/400)*(((2*x^2)-x)+2))/((((x^4-x^3)+x^2)-x)+1)^2))))+(-(-(-(89/8000/(x+1)))))+(-(-(-(3260361/5000000/(x-1)))))+(-(-(((1/12500)*(((213*x^3)+(26*x^2))-(171*x)-183))/(x^4+x^3+x^2+x+1)^3)))+(-(-(1/4000/(x+1)^2)))+(-(-(8239/62500/(x-1)^2)))+(-(-(((1/2500)*(x^3+(7*x^2)+(8*x)+4))/(x^4+x^3+x^2+x+1)^4)))+(-(-(3243/250000/(x-1)^3)))+(-(1/62500/(x-1)^5)))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(7/24/(x-1)^3))+(-(1/2/(x-1)^4)))
A257464 = ((31250*(A001300+(-((((1/500)*((93*x^19)+(93*x^18)+(93*x^17)+(93*x^16)+(93*x^15)+(101*x^14)+(101*x^13)+(101*x^12)+(101*x^11)+(101*x^10)+(44*x^9)+(44*x^8)+(44*x^7)+(44*x^6)+(44*x^5)+(32*x^4)+(32*x^3)+(32*x^2)+(32*x)+32))/(x^20+x^15+x^10+x^5+1))+(-(-(-(((1/20)*(((3*x^19)+(3*x^18)+(3*x^17)+(3*x^16)+(3*x^15))-(3*x^14)-(3*x^13)-(3*x^12)-(3*x^11)-(3*x^10)-(4*x^4)-(4*x^3)-(4*x^2)-(4*x)-4))/((((x^20-x^15)+x^10)-x^5)+1)))))+(-(-(-(((1/1250000)*((328684*x^3)+(492588*x^2)+(507927*x)+390056))/(x^4+x^3+x^2+x+1)))))+(-(-(-(((1/2000)*((84*x^3)+(44*x^2)+(41*x)+86))/((((x^4-x^3)+x^2)-x)+1)))))+(-(-(-(((1/50)*(((2*x^19)+(2*x^18)+(2*x^17)+(2*x^16)+(2*x^15))-x^14-x^13-x^12-x^11-x^10-(4*x^9)-(4*x^8)-(4*x^7)-(4*x^6)-(4*x^5)-(2*x^4)-(2*x^3)-(2*x^2)-(2*x)-2))/(x^20+x^15+x^10+x^5+1)^2))))+(-(-(-(((1/250000)*((30698*x^3)+(32346*x^2)+(19479*x)+5812))/(x^4+x^3+x^2+x+1)^2))))+(-(-(-(((1/400)*(((2*x^2)-x)+2))/((((x^4-x^3)+x^2)-x)+1)^2))))+(-(-(-(89/8000/(x+1)))))+(-(-(-(3260361/5000000/(x-1)))))+(-(-(((1/12500)*(((213*x^3)+(26*x^2))-(171*x)-183))/(x^4+x^3+x^2+x+1)^3)))+(-(-(1/4000/(x+1)^2)))+(-(-(8239/62500/(x-1)^2)))+(-(-(((1/2500)*(x^3+(7*x^2)+(8*x)+4))/(x^4+x^3+x^2+x+1)^4)))+(-(-(3243/250000/(x-1)^3)))+(-(43/62500/(x-1)^4))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(7/24/(x-1)^3))+(-(1/2/(x-1)^4)))
A257890 = ((250000*integrate((A001300+(-((((1/500)*((93*x^19)+(93*x^18)+(93*x^17)+(93*x^16)+(93*x^15)+(101*x^14)+(101*x^13)+(101*x^12)+(101*x^11)+(101*x^10)+(44*x^9)+(44*x^8)+(44*x^7)+(44*x^6)+(44*x^5)+(32*x^4)+(32*x^3)+(32*x^2)+(32*x)+32))/(x^20+x^15+x^10+x^5+1))+(-(-(-(((1/20)*(((3*x^19)+(3*x^18)+(3*x^17)+(3*x^16)+(3*x^15))-(3*x^14)-(3*x^13)-(3*x^12)-(3*x^11)-(3*x^10)-(4*x^4)-(4*x^3)-(4*x^2)-(4*x)-4))/((((x^20-x^15)+x^10)-x^5)+1)))))+(-(-(-(((1/1250000)*((328684*x^3)+(492588*x^2)+(507927*x)+390056))/(x^4+x^3+x^2+x+1)))))+(-(-(-(((1/2000)*((84*x^3)+(44*x^2)+(41*x)+86))/((((x^4-x^3)+x^2)-x)+1)))))+(-(-(-(((1/50)*(((2*x^19)+(2*x^18)+(2*x^17)+(2*x^16)+(2*x^15))-x^14-x^13-x^12-x^11-x^10-(4*x^9)-(4*x^8)-(4*x^7)-(4*x^6)-(4*x^5)-(2*x^4)-(2*x^3)-(2*x^2)-(2*x)-2))/(x^20+x^15+x^10+x^5+1)^2))))+(-(-(-(((1/250000)*((30698*x^3)+(32346*x^2)+(19479*x)+5812))/(x^4+x^3+x^2+x+1)^2))))+(-(-(-(((1/400)*(((2*x^2)-x)+2))/((((x^4-x^3)+x^2)-x)+1)^2))))+(-(-(-(89/8000/(x+1)))))+(-(-(-(3260361/5000000/(x-1)))))+(-(-(((1/12500)*(((213*x^3)+(26*x^2))-(171*x)-183))/(x^4+x^3+x^2+x+1)^3)))+(-(-(1/4000/(x+1)^2)))+(-(-(8239/62500/(x-1)^2)))+(-(-(((1/2500)*(x^3+(7*x^2)+(8*x)+4))/(x^4+x^3+x^2+x+1)^4)))+(-(-(3243/250000/(x-1)^3)))+(-(43/62500/(x-1)^4)))))))+(1/(x-1)^2)+(1/(x-1)^6))
A257890 = ((12500*differential((A001300+(-((((1/500)*((93*x^19)+(93*x^18)+(93*x^17)+(93*x^16)+(93*x^15)+(101*x^14)+(101*x^13)+(101*x^12)+(101*x^11)+(101*x^10)+(44*x^9)+(44*x^8)+(44*x^7)+(44*x^6)+(44*x^5)+(32*x^4)+(32*x^3)+(32*x^2)+(32*x)+32))/(x^20+x^15+x^10+x^5+1))+(-(-(-(((1/20)*(((3*x^19)+(3*x^18)+(3*x^17)+(3*x^16)+(3*x^15))-(3*x^14)-(3*x^13)-(3*x^12)-(3*x^11)-(3*x^10)-(4*x^4)-(4*x^3)-(4*x^2)-(4*x)-4))/((((x^20-x^15)+x^10)-x^5)+1)))))+(-(-(-(((1/1250000)*((328684*x^3)+(492588*x^2)+(507927*x)+390056))/(x^4+x^3+x^2+x+1)))))+(-(-(-(((1/2000)*((84*x^3)+(44*x^2)+(41*x)+86))/((((x^4-x^3)+x^2)-x)+1)))))+(-(-(-(((1/50)*(((2*x^19)+(2*x^18)+(2*x^17)+(2*x^16)+(2*x^15))-x^14-x^13-x^12-x^11-x^10-(4*x^9)-(4*x^8)-(4*x^7)-(4*x^6)-(4*x^5)-(2*x^4)-(2*x^3)-(2*x^2)-(2*x)-2))/(x^20+x^15+x^10+x^5+1)^2))))+(-(-(-(((1/250000)*((30698*x^3)+(32346*x^2)+(19479*x)+5812))/(x^4+x^3+x^2+x+1)^2))))+(-(-(-(((1/400)*(((2*x^2)-x)+2))/((((x^4-x^3)+x^2)-x)+1)^2))))+(-(-(-(89/8000/(x+1)))))+(-(-(-(3260361/5000000/(x-1)))))+(-(-(((1/12500)*(((213*x^3)+(26*x^2))-(171*x)-183))/(x^4+x^3+x^2+x+1)^3)))+(-(-(1/4000/(x+1)^2)))+(-(-(8239/62500/(x-1)^2)))+(-(-(((1/2500)*(x^3+(7*x^2)+(8*x)+4))/(x^4+x^3+x^2+x+1)^4)))+(-(-(3243/250000/(x-1)^3)))+(-(43/62500/(x-1)^4)))))))+(1/(x-1)^2)+(1/(x-1)^4))
A257850 = (((-(16/41))*differential((A001301+(-((((1/5)*((x^19+x^18)-x^15-x^13-x^12-(2*x^11)-(2*x^10)-(2*x^9)-(2*x^8)-(2*x^7)-(2*x^6)-(2*x^5)-x^4-x^3-x^2-x-1))/(x^20+x^15+x^10+x^5+1))+(-(-(-(((1/25000)*((3749*x^3)+(6698*x^2)+(4497*x)+4481))/(x^4+x^3+x^2+x+1)))))+(-(-(-(((1/40)*(((3*x^3)+x)-1))/((((x^4-x^3)+x^2)-x)+1)))))+(-(-(-(((1/2500)*((193*x^3)+(201*x^2)+(44*x)+32))/(x^4+x^3+x^2+x+1)^2))))+(-(-(-(110617/200000/(x-1)))))+(-(-(((1/250)*((2*x^3)-x^2-(4*x)-2))/(x^4+x^3+x^2+x+1)^3)))+(-(-(1/160/(x+1)^2)))+(-(-(141/500/(x-1)^2)))+(-(-(127/2000/(x-1)^3)))+(-(19/2500/(x-1)^4))+(-(1/2500/(x-1)^5)))))))+(((1/5)*((15*x^3)+(4*x^2)+(8*x)+9))/((((x^4-x^3)+x^2)-x)+1))+(-(-(((1/5)*((11*x^3)+(16*x^2)+(15*x)+8))/(x^4+x^3+x^2+x+1))))+(-(-(((1/2)*((2*x^3)+(2*x^2)+x))/(x^4+x^3+x^2+x+1)^2)))+(-(-(((1/2)*(((2*x^2)-x)+2))/((((x^4-x^3)+x^2)-x)+1)^2)))+(-(1/2/(x+1)))+(-(33/10/(x-1)))+(9/20/(x-1)^2))
A257890 = (((200000/110617)*differential((A001301+(-((((1/5)*((x^19+x^18)-x^15-x^13-x^12-(2*x^11)-(2*x^10)-(2*x^9)-(2*x^8)-(2*x^7)-(2*x^6)-(2*x^5)-x^4-x^3-x^2-x-1))/(x^20+x^15+x^10+x^5+1))+(-(-(-(((1/25000)*((3749*x^3)+(6698*x^2)+(4497*x)+4481))/(x^4+x^3+x^2+x+1)))))+(-(-(-(((1/40)*(((3*x^3)+x)-1))/((((x^4-x^3)+x^2)-x)+1)))))+(-(-(-(((1/2500)*((193*x^3)+(201*x^2)+(44*x)+32))/(x^4+x^3+x^2+x+1)^2))))+(-(-(-(41/320/(x+1)))))+(-(-(((1/250)*((2*x^3)-x^2-(4*x)-2))/(x^4+x^3+x^2+x+1)^3)))+(-(-(1/160/(x+1)^2)))+(-(-(141/500/(x-1)^2)))+(-(-(127/2000/(x-1)^3)))+(-(19/2500/(x-1)^4))+(-(1/2500/(x-1)^5)))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257850 = (((-8)*(A001301+(-((((1/5)*((x^19+x^18)-x^15-x^13-x^12-(2*x^11)-(2*x^10)-(2*x^9)-(2*x^8)-(2*x^7)-(2*x^6)-(2*x^5)-x^4-x^3-x^2-x-1))/(x^20+x^15+x^10+x^5+1))+(-(-(-(((1/25000)*((3749*x^3)+(6698*x^2)+(4497*x)+4481))/(x^4+x^3+x^2+x+1)))))+(-(-(-(((1/40)*(((3*x^3)+x)-1))/((((x^4-x^3)+x^2)-x)+1)))))+(-(-(-(((1/2500)*((193*x^3)+(201*x^2)+(44*x)+32))/(x^4+x^3+x^2+x+1)^2))))+(-(-(-(41/320/(x+1)))))+(-(-(-(110617/200000/(x-1)))))+(-(-(((1/250)*((2*x^3)-x^2-(4*x)-2))/(x^4+x^3+x^2+x+1)^3)))+(-(-(141/500/(x-1)^2)))+(-(-(127/2000/(x-1)^3)))+(-(19/2500/(x-1)^4))+(-(1/2500/(x-1)^5))))))+(((1/5)*((15*x^3)+(4*x^2)+(8*x)+9))/((((x^4-x^3)+x^2)-x)+1))+(-(-(((1/5)*((11*x^3)+(16*x^2)+(15*x)+8))/(x^4+x^3+x^2+x+1))))+(-(-(((1/2)*((2*x^3)+(2*x^2)+x))/(x^4+x^3+x^2+x+1)^2)))+(-(-(((1/2)*(((2*x^2)-x)+2))/((((x^4-x^3)+x^2)-x)+1)^2)))+(-(1/2/(x+1)))+(-(33/10/(x-1)))+(9/20/(x-1)^2))
A257171 = ((10*differential((A001301+(-((((1/5)*((x^19+x^18)-x^15-x^13-x^12-(2*x^11)-(2*x^10)-(2*x^9)-(2*x^8)-(2*x^7)-(2*x^6)-(2*x^5)-x^4-x^3-x^2-x-1))/(x^20+x^15+x^10+x^5+1))+(-(-(-(((1/25000)*((3749*x^3)+(6698*x^2)+(4497*x)+4481))/(x^4+x^3+x^2+x+1)))))+(-(-(-(((1/40)*(((3*x^3)+x)-1))/((((x^4-x^3)+x^2)-x)+1)))))+(-(-(-(((1/2500)*((193*x^3)+(201*x^2)+(44*x)+32))/(x^4+x^3+x^2+x+1)^2))))+(-(-(-(41/320/(x+1)))))+(-(-(-(110617/200000/(x-1)))))+(-(-(((1/250)*((2*x^3)-x^2-(4*x)-2))/(x^4+x^3+x^2+x+1)^3)))+(-(-(141/500/(x-1)^2)))+(-(-(127/2000/(x-1)^3)))+(-(19/2500/(x-1)^4))+(-(1/2500/(x-1)^5)))))))+(2*x)+(-(-(3/8/(x+1))))+(-(-(3/8/(x-1))))+(-(3/4/(x-1)^2))+(-(3/8/(x-1)^3))+(-(3/4/(x-1)^4))+(-1))
A257890 = (((500/141)*(A001301+(-((((1/5)*((x^19+x^18)-x^15-x^13-x^12-(2*x^11)-(2*x^10)-(2*x^9)-(2*x^8)-(2*x^7)-(2*x^6)-(2*x^5)-x^4-x^3-x^2-x-1))/(x^20+x^15+x^10+x^5+1))+(-(-(-(((1/25000)*((3749*x^3)+(6698*x^2)+(4497*x)+4481))/(x^4+x^3+x^2+x+1)))))+(-(-(-(((1/40)*(((3*x^3)+x)-1))/((((x^4-x^3)+x^2)-x)+1)))))+(-(-(-(((1/2500)*((193*x^3)+(201*x^2)+(44*x)+32))/(x^4+x^3+x^2+x+1)^2))))+(-(-(-(41/320/(x+1)))))+(-(-(-(110617/200000/(x-1)))))+(-(-(((1/250)*((2*x^3)-x^2-(4*x)-2))/(x^4+x^3+x^2+x+1)^3)))+(-(-(1/160/(x+1)^2)))+(-(-(127/2000/(x-1)^3)))+(-(19/2500/(x-1)^4))+(-(1/2500/(x-1)^5))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257464 = (((875/1692)*differential((A001301+(-((((1/5)*((x^19+x^18)-x^15-x^13-x^12-(2*x^11)-(2*x^10)-(2*x^9)-(2*x^8)-(2*x^7)-(2*x^6)-(2*x^5)-x^4-x^3-x^2-x-1))/(x^20+x^15+x^10+x^5+1))+(-(-(-(((1/25000)*((3749*x^3)+(6698*x^2)+(4497*x)+4481))/(x^4+x^3+x^2+x+1)))))+(-(-(-(((1/40)*(((3*x^3)+x)-1))/((((x^4-x^3)+x^2)-x)+1)))))+(-(-(-(((1/2500)*((193*x^3)+(201*x^2)+(44*x)+32))/(x^4+x^3+x^2+x+1)^2))))+(-(-(-(41/320/(x+1)))))+(-(-(-(110617/200000/(x-1)))))+(-(-(((1/250)*((2*x^3)-x^2-(4*x)-2))/(x^4+x^3+x^2+x+1)^3)))+(-(-(1/160/(x+1)^2)))+(-(-(127/2000/(x-1)^3)))+(-(19/2500/(x-1)^4))+(-(1/2500/(x-1)^5)))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257464 = (((-(1750/381))*(A001301+(-((((1/5)*((x^19+x^18)-x^15-x^13-x^12-(2*x^11)-(2*x^10)-(2*x^9)-(2*x^8)-(2*x^7)-(2*x^6)-(2*x^5)-x^4-x^3-x^2-x-1))/(x^20+x^15+x^10+x^5+1))+(-(-(-(((1/25000)*((3749*x^3)+(6698*x^2)+(4497*x)+4481))/(x^4+x^3+x^2+x+1)))))+(-(-(-(((1/40)*(((3*x^3)+x)-1))/((((x^4-x^3)+x^2)-x)+1)))))+(-(-(-(((1/2500)*((193*x^3)+(201*x^2)+(44*x)+32))/(x^4+x^3+x^2+x+1)^2))))+(-(-(-(41/320/(x+1)))))+(-(-(-(110617/200000/(x-1)))))+(-(-(((1/250)*((2*x^3)-x^2-(4*x)-2))/(x^4+x^3+x^2+x+1)^3)))+(-(-(1/160/(x+1)^2)))+(-(-(141/500/(x-1)^2)))+(-(19/2500/(x-1)^4))+(-(1/2500/(x-1)^5))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257890 = (((-(4000/127))*integrate((A001301+(-((((1/5)*((x^19+x^18)-x^15-x^13-x^12-(2*x^11)-(2*x^10)-(2*x^9)-(2*x^8)-(2*x^7)-(2*x^6)-(2*x^5)-x^4-x^3-x^2-x-1))/(x^20+x^15+x^10+x^5+1))+(-(-(-(((1/25000)*((3749*x^3)+(6698*x^2)+(4497*x)+4481))/(x^4+x^3+x^2+x+1)))))+(-(-(-(((1/40)*(((3*x^3)+x)-1))/((((x^4-x^3)+x^2)-x)+1)))))+(-(-(-(((1/2500)*((193*x^3)+(201*x^2)+(44*x)+32))/(x^4+x^3+x^2+x+1)^2))))+(-(-(-(41/320/(x+1)))))+(-(-(-(110617/200000/(x-1)))))+(-(-(((1/250)*((2*x^3)-x^2-(4*x)-2))/(x^4+x^3+x^2+x+1)^3)))+(-(-(1/160/(x+1)^2)))+(-(-(141/500/(x-1)^2)))+(-(19/2500/(x-1)^4))+(-(1/2500/(x-1)^5)))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257890 = (((-(2000/381))*differential((A001301+(-((((1/5)*((x^19+x^18)-x^15-x^13-x^12-(2*x^11)-(2*x^10)-(2*x^9)-(2*x^8)-(2*x^7)-(2*x^6)-(2*x^5)-x^4-x^3-x^2-x-1))/(x^20+x^15+x^10+x^5+1))+(-(-(-(((1/25000)*((3749*x^3)+(6698*x^2)+(4497*x)+4481))/(x^4+x^3+x^2+x+1)))))+(-(-(-(((1/40)*(((3*x^3)+x)-1))/((((x^4-x^3)+x^2)-x)+1)))))+(-(-(-(((1/2500)*((193*x^3)+(201*x^2)+(44*x)+32))/(x^4+x^3+x^2+x+1)^2))))+(-(-(-(41/320/(x+1)))))+(-(-(-(110617/200000/(x-1)))))+(-(-(((1/250)*((2*x^3)-x^2-(4*x)-2))/(x^4+x^3+x^2+x+1)^3)))+(-(-(1/160/(x+1)^2)))+(-(-(141/500/(x-1)^2)))+(-(19/2500/(x-1)^4))+(-(1/2500/(x-1)^5)))))))+(1/(x-1)^2)+(1/(x-1)^6))
A257890 = (((-(2500/19))*(A001301+(-((((1/5)*((x^19+x^18)-x^15-x^13-x^12-(2*x^11)-(2*x^10)-(2*x^9)-(2*x^8)-(2*x^7)-(2*x^6)-(2*x^5)-x^4-x^3-x^2-x-1))/(x^20+x^15+x^10+x^5+1))+(-(-(-(((1/25000)*((3749*x^3)+(6698*x^2)+(4497*x)+4481))/(x^4+x^3+x^2+x+1)))))+(-(-(-(((1/40)*(((3*x^3)+x)-1))/((((x^4-x^3)+x^2)-x)+1)))))+(-(-(-(((1/2500)*((193*x^3)+(201*x^2)+(44*x)+32))/(x^4+x^3+x^2+x+1)^2))))+(-(-(-(41/320/(x+1)))))+(-(-(-(110617/200000/(x-1)))))+(-(-(((1/250)*((2*x^3)-x^2-(4*x)-2))/(x^4+x^3+x^2+x+1)^3)))+(-(-(1/160/(x+1)^2)))+(-(-(141/500/(x-1)^2)))+(-(-(127/2000/(x-1)^3)))+(-(1/2500/(x-1)^5))))))+(1/(x-1)^2)+(1/(x-1)^6))
A257464 = (((-(4375/38))*integrate((A001301+(-((((1/5)*((x^19+x^18)-x^15-x^13-x^12-(2*x^11)-(2*x^10)-(2*x^9)-(2*x^8)-(2*x^7)-(2*x^6)-(2*x^5)-x^4-x^3-x^2-x-1))/(x^20+x^15+x^10+x^5+1))+(-(-(-(((1/25000)*((3749*x^3)+(6698*x^2)+(4497*x)+4481))/(x^4+x^3+x^2+x+1)))))+(-(-(-(((1/40)*(((3*x^3)+x)-1))/((((x^4-x^3)+x^2)-x)+1)))))+(-(-(-(((1/2500)*((193*x^3)+(201*x^2)+(44*x)+32))/(x^4+x^3+x^2+x+1)^2))))+(-(-(-(41/320/(x+1)))))+(-(-(-(110617/200000/(x-1)))))+(-(-(((1/250)*((2*x^3)-x^2-(4*x)-2))/(x^4+x^3+x^2+x+1)^3)))+(-(-(1/160/(x+1)^2)))+(-(-(141/500/(x-1)^2)))+(-(-(127/2000/(x-1)^3)))+(-(1/2500/(x-1)^5)))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257464 = (((-(625/38))*differential((A001301+(-((((1/5)*((x^19+x^18)-x^15-x^13-x^12-(2*x^11)-(2*x^10)-(2*x^9)-(2*x^8)-(2*x^7)-(2*x^6)-(2*x^5)-x^4-x^3-x^2-x-1))/(x^20+x^15+x^10+x^5+1))+(-(-(-(((1/25000)*((3749*x^3)+(6698*x^2)+(4497*x)+4481))/(x^4+x^3+x^2+x+1)))))+(-(-(-(((1/40)*(((3*x^3)+x)-1))/((((x^4-x^3)+x^2)-x)+1)))))+(-(-(-(((1/2500)*((193*x^3)+(201*x^2)+(44*x)+32))/(x^4+x^3+x^2+x+1)^2))))+(-(-(-(41/320/(x+1)))))+(-(-(-(110617/200000/(x-1)))))+(-(-(((1/250)*((2*x^3)-x^2-(4*x)-2))/(x^4+x^3+x^2+x+1)^3)))+(-(-(1/160/(x+1)^2)))+(-(-(141/500/(x-1)^2)))+(-(-(127/2000/(x-1)^3)))+(-(1/2500/(x-1)^5)))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(7/24/(x-1)^3))+(-(1/2/(x-1)^4)))
A257464 = ((1250*(A001301+(-((((1/5)*((x^19+x^18)-x^15-x^13-x^12-(2*x^11)-(2*x^10)-(2*x^9)-(2*x^8)-(2*x^7)-(2*x^6)-(2*x^5)-x^4-x^3-x^2-x-1))/(x^20+x^15+x^10+x^5+1))+(-(-(-(((1/25000)*((3749*x^3)+(6698*x^2)+(4497*x)+4481))/(x^4+x^3+x^2+x+1)))))+(-(-(-(((1/40)*(((3*x^3)+x)-1))/((((x^4-x^3)+x^2)-x)+1)))))+(-(-(-(((1/2500)*((193*x^3)+(201*x^2)+(44*x)+32))/(x^4+x^3+x^2+x+1)^2))))+(-(-(-(41/320/(x+1)))))+(-(-(-(110617/200000/(x-1)))))+(-(-(((1/250)*((2*x^3)-x^2-(4*x)-2))/(x^4+x^3+x^2+x+1)^3)))+(-(-(1/160/(x+1)^2)))+(-(-(141/500/(x-1)^2)))+(-(-(127/2000/(x-1)^3)))+(-(19/2500/(x-1)^4))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(7/24/(x-1)^3))+(-(1/2/(x-1)^4)))
A257890 = ((10000*integrate((A001301+(-((((1/5)*((x^19+x^18)-x^15-x^13-x^12-(2*x^11)-(2*x^10)-(2*x^9)-(2*x^8)-(2*x^7)-(2*x^6)-(2*x^5)-x^4-x^3-x^2-x-1))/(x^20+x^15+x^10+x^5+1))+(-(-(-(((1/25000)*((3749*x^3)+(6698*x^2)+(4497*x)+4481))/(x^4+x^3+x^2+x+1)))))+(-(-(-(((1/40)*(((3*x^3)+x)-1))/((((x^4-x^3)+x^2)-x)+1)))))+(-(-(-(((1/2500)*((193*x^3)+(201*x^2)+(44*x)+32))/(x^4+x^3+x^2+x+1)^2))))+(-(-(-(41/320/(x+1)))))+(-(-(-(110617/200000/(x-1)))))+(-(-(((1/250)*((2*x^3)-x^2-(4*x)-2))/(x^4+x^3+x^2+x+1)^3)))+(-(-(1/160/(x+1)^2)))+(-(-(141/500/(x-1)^2)))+(-(-(127/2000/(x-1)^3)))+(-(19/2500/(x-1)^4)))))))+(1/(x-1)^2)+(1/(x-1)^6))
A257890 = ((500*differential((A001301+(-((((1/5)*((x^19+x^18)-x^15-x^13-x^12-(2*x^11)-(2*x^10)-(2*x^9)-(2*x^8)-(2*x^7)-(2*x^6)-(2*x^5)-x^4-x^3-x^2-x-1))/(x^20+x^15+x^10+x^5+1))+(-(-(-(((1/25000)*((3749*x^3)+(6698*x^2)+(4497*x)+4481))/(x^4+x^3+x^2+x+1)))))+(-(-(-(((1/40)*(((3*x^3)+x)-1))/((((x^4-x^3)+x^2)-x)+1)))))+(-(-(-(((1/2500)*((193*x^3)+(201*x^2)+(44*x)+32))/(x^4+x^3+x^2+x+1)^2))))+(-(-(-(41/320/(x+1)))))+(-(-(-(110617/200000/(x-1)))))+(-(-(((1/250)*((2*x^3)-x^2-(4*x)-2))/(x^4+x^3+x^2+x+1)^3)))+(-(-(1/160/(x+1)^2)))+(-(-(141/500/(x-1)^2)))+(-(-(127/2000/(x-1)^3)))+(-(19/2500/(x-1)^4)))))))+(1/(x-1)^2)+(1/(x-1)^4))
A257850 = (((1600/3381)*differential((A001302+(-((((1/500)*(((((137*x^19)+(123*x^18)+(44*x^17)+(30*x^16))-(49*x^15))+(74*x^14))-(19*x^13)-(27*x^12)-(120*x^11)-(128*x^10)-(84*x^9)-(106*x^8)-(128*x^7)-(150*x^6)-(172*x^5)-(57*x^4)-(93*x^3)-(89*x^2)-(125*x)-121))/(x^20+x^15+x^10+x^5+1))+(-(-(-(-(-(-(((1/20)*(((9*x^19)+(11*x^18)+(12*x^17)+(14*x^16)+(15*x^15)+(8*x^14)+(7*x^13)+(5*x^12)+(4*x^11)+(2*x^10)+(10*x^9)+(10*x^8)+(10*x^7)+(10*x^6)+(10*x^5)+x^4)-x^3-(3*x^2)-(5*x)-7))/((((x^20-x^15)+x^10)-x^5)+1))))))))+(-(-(-(-(-(((1/625000)*((99093*x^3)+(180705*x^2)+(115456*x)+115116))/(x^4+x^3+x^2+x+1)))))))+(-(-(-(-(-(((1/1000)*(((67*x^3)+x^2+(24*x))-20))/((((x^4-x^3)+x^2)-x)+1)))))))+(-(-(-(-(-(((1/50)*(((2*x^19)+(3*x^18)+(4*x^17)+(5*x^16)+(6*x^15)+(9*x^14)+(11*x^13)+(8*x^12)+(10*x^11)+(7*x^10)+(11*x^9)+(9*x^8)+(7*x^7)+(5*x^6)+(3*x^5)+(3*x^4)+(2*x^3)+x^2)-1))/(x^20+x^15+x^10+x^5+1)^2))))))+(-(-(-(-(((1/250000)*((16879*x^3)+(17559*x^2)+(3740*x)+2772))/(x^4+x^3+x^2+x+1)^2)))))+(-(-(-(-(((1/400)*(x^3+x^2))/((((x^4-x^3)+x^2)-x)+1)^2)))))+(-(-(-(-(3104101/20000000/(x-1))))))+(-(-(-(((1/12500)*((91*x^3)-(27*x^2)-(149*x)-80))/(x^4+x^3+x^2+x+1)^3))))+(-(-(-(9/1600/(x+1)^2))))+(-(-(-(3606571/10000000/(x-1)^2))))+(-(-(-(((1/2500)*(x^3+(4*x^2)+(4*x)+1))/(x^4+x^3+x^2+x+1)^4))))+(-(-(1/8000/(x+1)^3)))+(-(-(34621/500000/(x-1)^3)))+(-(333/50000/(x-1)^4))+(-(87/250000/(x-1)^5))+(1/125000/(x-1)^6))))))+(((1/5)*((15*x^3)+(4*x^2)+(8*x)+9))/((((x^4-x^3)+x^2)-x)+1))+(-(-(((1/5)*((11*x^3)+(16*x^2)+(15*x)+8))/(x^4+x^3+x^2+x+1))))+(-(-(((1/2)*((2*x^3)+(2*x^2)+x))/(x^4+x^3+x^2+x+1)^2)))+(-(-(((1/2)*(((2*x^2)-x)+2))/((((x^4-x^3)+x^2)-x)+1)^2)))+(-(1/2/(x+1)))+(-(33/10/(x-1)))+(9/20/(x-1)^2))
A257890 = (((-(20000000/3104101))*differential((A001302+(-((((1/500)*(((((137*x^19)+(123*x^18)+(44*x^17)+(30*x^16))-(49*x^15))+(74*x^14))-(19*x^13)-(27*x^12)-(120*x^11)-(128*x^10)-(84*x^9)-(106*x^8)-(128*x^7)-(150*x^6)-(172*x^5)-(57*x^4)-(93*x^3)-(89*x^2)-(125*x)-121))/(x^20+x^15+x^10+x^5+1))+(-(-(-(-(-(-(((1/20)*(((9*x^19)+(11*x^18)+(12*x^17)+(14*x^16)+(15*x^15)+(8*x^14)+(7*x^13)+(5*x^12)+(4*x^11)+(2*x^10)+(10*x^9)+(10*x^8)+(10*x^7)+(10*x^6)+(10*x^5)+x^4)-x^3-(3*x^2)-(5*x)-7))/((((x^20-x^15)+x^10)-x^5)+1))))))))+(-(-(-(-(-(((1/625000)*((99093*x^3)+(180705*x^2)+(115456*x)+115116))/(x^4+x^3+x^2+x+1)))))))+(-(-(-(-(-(((1/1000)*(((67*x^3)+x^2+(24*x))-20))/((((x^4-x^3)+x^2)-x)+1)))))))+(-(-(-(-(-(((1/50)*(((2*x^19)+(3*x^18)+(4*x^17)+(5*x^16)+(6*x^15)+(9*x^14)+(11*x^13)+(8*x^12)+(10*x^11)+(7*x^10)+(11*x^9)+(9*x^8)+(7*x^7)+(5*x^6)+(3*x^5)+(3*x^4)+(2*x^3)+x^2)-1))/(x^20+x^15+x^10+x^5+1)^2))))))+(-(-(-(-(((1/250000)*((16879*x^3)+(17559*x^2)+(3740*x)+2772))/(x^4+x^3+x^2+x+1)^2)))))+(-(-(-(-(((1/400)*(x^3+x^2))/((((x^4-x^3)+x^2)-x)+1)^2)))))+(-(-(-(-(3381/32000/(x+1))))))+(-(-(-(((1/12500)*((91*x^3)-(27*x^2)-(149*x)-80))/(x^4+x^3+x^2+x+1)^3))))+(-(-(-(9/1600/(x+1)^2))))+(-(-(-(3606571/10000000/(x-1)^2))))+(-(-(-(((1/2500)*(x^3+(4*x^2)+(4*x)+1))/(x^4+x^3+x^2+x+1)^4))))+(-(-(1/8000/(x+1)^3)))+(-(-(34621/500000/(x-1)^3)))+(-(333/50000/(x-1)^4))+(-(87/250000/(x-1)^5))+(1/125000/(x-1)^6))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257850 = (((80/9)*(A001302+(-((((1/500)*(((((137*x^19)+(123*x^18)+(44*x^17)+(30*x^16))-(49*x^15))+(74*x^14))-(19*x^13)-(27*x^12)-(120*x^11)-(128*x^10)-(84*x^9)-(106*x^8)-(128*x^7)-(150*x^6)-(172*x^5)-(57*x^4)-(93*x^3)-(89*x^2)-(125*x)-121))/(x^20+x^15+x^10+x^5+1))+(-(-(-(-(-(-(((1/20)*(((9*x^19)+(11*x^18)+(12*x^17)+(14*x^16)+(15*x^15)+(8*x^14)+(7*x^13)+(5*x^12)+(4*x^11)+(2*x^10)+(10*x^9)+(10*x^8)+(10*x^7)+(10*x^6)+(10*x^5)+x^4)-x^3-(3*x^2)-(5*x)-7))/((((x^20-x^15)+x^10)-x^5)+1))))))))+(-(-(-(-(-(((1/625000)*((99093*x^3)+(180705*x^2)+(115456*x)+115116))/(x^4+x^3+x^2+x+1)))))))+(-(-(-(-(-(((1/1000)*(((67*x^3)+x^2+(24*x))-20))/((((x^4-x^3)+x^2)-x)+1)))))))+(-(-(-(-(-(((1/50)*(((2*x^19)+(3*x^18)+(4*x^17)+(5*x^16)+(6*x^15)+(9*x^14)+(11*x^13)+(8*x^12)+(10*x^11)+(7*x^10)+(11*x^9)+(9*x^8)+(7*x^7)+(5*x^6)+(3*x^5)+(3*x^4)+(2*x^3)+x^2)-1))/(x^20+x^15+x^10+x^5+1)^2))))))+(-(-(-(-(((1/250000)*((16879*x^3)+(17559*x^2)+(3740*x)+2772))/(x^4+x^3+x^2+x+1)^2)))))+(-(-(-(-(((1/400)*(x^3+x^2))/((((x^4-x^3)+x^2)-x)+1)^2)))))+(-(-(-(-(3381/32000/(x+1))))))+(-(-(-(-(3104101/20000000/(x-1))))))+(-(-(-(((1/12500)*((91*x^3)-(27*x^2)-(149*x)-80))/(x^4+x^3+x^2+x+1)^3))))+(-(-(-(3606571/10000000/(x-1)^2))))+(-(-(-(((1/2500)*(x^3+(4*x^2)+(4*x)+1))/(x^4+x^3+x^2+x+1)^4))))+(-(-(1/8000/(x+1)^3)))+(-(-(34621/500000/(x-1)^3)))+(-(333/50000/(x-1)^4))+(-(87/250000/(x-1)^5))+(1/125000/(x-1)^6)))))+(((1/5)*((15*x^3)+(4*x^2)+(8*x)+9))/((((x^4-x^3)+x^2)-x)+1))+(-(-(((1/5)*((11*x^3)+(16*x^2)+(15*x)+8))/(x^4+x^3+x^2+x+1))))+(-(-(((1/2)*((2*x^3)+(2*x^2)+x))/(x^4+x^3+x^2+x+1)^2)))+(-(-(((1/2)*(((2*x^2)-x)+2))/((((x^4-x^3)+x^2)-x)+1)^2)))+(-(1/2/(x+1)))+(-(33/10/(x-1)))+(9/20/(x-1)^2))
A257171 = (((-(100/9))*differential((A001302+(-((((1/500)*(((((137*x^19)+(123*x^18)+(44*x^17)+(30*x^16))-(49*x^15))+(74*x^14))-(19*x^13)-(27*x^12)-(120*x^11)-(128*x^10)-(84*x^9)-(106*x^8)-(128*x^7)-(150*x^6)-(172*x^5)-(57*x^4)-(93*x^3)-(89*x^2)-(125*x)-121))/(x^20+x^15+x^10+x^5+1))+(-(-(-(-(-(-(((1/20)*(((9*x^19)+(11*x^18)+(12*x^17)+(14*x^16)+(15*x^15)+(8*x^14)+(7*x^13)+(5*x^12)+(4*x^11)+(2*x^10)+(10*x^9)+(10*x^8)+(10*x^7)+(10*x^6)+(10*x^5)+x^4)-x^3-(3*x^2)-(5*x)-7))/((((x^20-x^15)+x^10)-x^5)+1))))))))+(-(-(-(-(-(((1/625000)*((99093*x^3)+(180705*x^2)+(115456*x)+115116))/(x^4+x^3+x^2+x+1)))))))+(-(-(-(-(-(((1/1000)*(((67*x^3)+x^2+(24*x))-20))/((((x^4-x^3)+x^2)-x)+1)))))))+(-(-(-(-(-(((1/50)*(((2*x^19)+(3*x^18)+(4*x^17)+(5*x^16)+(6*x^15)+(9*x^14)+(11*x^13)+(8*x^12)+(10*x^11)+(7*x^10)+(11*x^9)+(9*x^8)+(7*x^7)+(5*x^6)+(3*x^5)+(3*x^4)+(2*x^3)+x^2)-1))/(x^20+x^15+x^10+x^5+1)^2))))))+(-(-(-(-(((1/250000)*((16879*x^3)+(17559*x^2)+(3740*x)+2772))/(x^4+x^3+x^2+x+1)^2)))))+(-(-(-(-(((1/400)*(x^3+x^2))/((((x^4-x^3)+x^2)-x)+1)^2)))))+(-(-(-(-(3381/32000/(x+1))))))+(-(-(-(-(3104101/20000000/(x-1))))))+(-(-(-(((1/12500)*((91*x^3)-(27*x^2)-(149*x)-80))/(x^4+x^3+x^2+x+1)^3))))+(-(-(-(3606571/10000000/(x-1)^2))))+(-(-(-(((1/2500)*(x^3+(4*x^2)+(4*x)+1))/(x^4+x^3+x^2+x+1)^4))))+(-(-(1/8000/(x+1)^3)))+(-(-(34621/500000/(x-1)^3)))+(-(333/50000/(x-1)^4))+(-(87/250000/(x-1)^5))+(1/125000/(x-1)^6))))))+(2*x)+(-(-(3/8/(x+1))))+(-(-(3/8/(x-1))))+(-(3/4/(x-1)^2))+(-(3/8/(x-1)^3))+(-(3/4/(x-1)^4))+(-1))
A257890 = (((-(10000000/3606571))*(A001302+(-((((1/500)*(((((137*x^19)+(123*x^18)+(44*x^17)+(30*x^16))-(49*x^15))+(74*x^14))-(19*x^13)-(27*x^12)-(120*x^11)-(128*x^10)-(84*x^9)-(106*x^8)-(128*x^7)-(150*x^6)-(172*x^5)-(57*x^4)-(93*x^3)-(89*x^2)-(125*x)-121))/(x^20+x^15+x^10+x^5+1))+(-(-(-(-(-(-(((1/20)*(((9*x^19)+(11*x^18)+(12*x^17)+(14*x^16)+(15*x^15)+(8*x^14)+(7*x^13)+(5*x^12)+(4*x^11)+(2*x^10)+(10*x^9)+(10*x^8)+(10*x^7)+(10*x^6)+(10*x^5)+x^4)-x^3-(3*x^2)-(5*x)-7))/((((x^20-x^15)+x^10)-x^5)+1))))))))+(-(-(-(-(-(((1/625000)*((99093*x^3)+(180705*x^2)+(115456*x)+115116))/(x^4+x^3+x^2+x+1)))))))+(-(-(-(-(-(((1/1000)*(((67*x^3)+x^2+(24*x))-20))/((((x^4-x^3)+x^2)-x)+1)))))))+(-(-(-(-(-(((1/50)*(((2*x^19)+(3*x^18)+(4*x^17)+(5*x^16)+(6*x^15)+(9*x^14)+(11*x^13)+(8*x^12)+(10*x^11)+(7*x^10)+(11*x^9)+(9*x^8)+(7*x^7)+(5*x^6)+(3*x^5)+(3*x^4)+(2*x^3)+x^2)-1))/(x^20+x^15+x^10+x^5+1)^2))))))+(-(-(-(-(((1/250000)*((16879*x^3)+(17559*x^2)+(3740*x)+2772))/(x^4+x^3+x^2+x+1)^2)))))+(-(-(-(-(((1/400)*(x^3+x^2))/((((x^4-x^3)+x^2)-x)+1)^2)))))+(-(-(-(-(3381/32000/(x+1))))))+(-(-(-(-(3104101/20000000/(x-1))))))+(-(-(-(((1/12500)*((91*x^3)-(27*x^2)-(149*x)-80))/(x^4+x^3+x^2+x+1)^3))))+(-(-(-(9/1600/(x+1)^2))))+(-(-(-(((1/2500)*(x^3+(4*x^2)+(4*x)+1))/(x^4+x^3+x^2+x+1)^4))))+(-(-(1/8000/(x+1)^3)))+(-(-(34621/500000/(x-1)^3)))+(-(333/50000/(x-1)^4))+(-(87/250000/(x-1)^5))+(1/125000/(x-1)^6)))))+(1/(x-1)^4)+(1/(x-1)^6))
A257464 = (((-(4375000/10819713))*differential((A001302+(-((((1/500)*(((((137*x^19)+(123*x^18)+(44*x^17)+(30*x^16))-(49*x^15))+(74*x^14))-(19*x^13)-(27*x^12)-(120*x^11)-(128*x^10)-(84*x^9)-(106*x^8)-(128*x^7)-(150*x^6)-(172*x^5)-(57*x^4)-(93*x^3)-(89*x^2)-(125*x)-121))/(x^20+x^15+x^10+x^5+1))+(-(-(-(-(-(-(((1/20)*(((9*x^19)+(11*x^18)+(12*x^17)+(14*x^16)+(15*x^15)+(8*x^14)+(7*x^13)+(5*x^12)+(4*x^11)+(2*x^10)+(10*x^9)+(10*x^8)+(10*x^7)+(10*x^6)+(10*x^5)+x^4)-x^3-(3*x^2)-(5*x)-7))/((((x^20-x^15)+x^10)-x^5)+1))))))))+(-(-(-(-(-(((1/625000)*((99093*x^3)+(180705*x^2)+(115456*x)+115116))/(x^4+x^3+x^2+x+1)))))))+(-(-(-(-(-(((1/1000)*(((67*x^3)+x^2+(24*x))-20))/((((x^4-x^3)+x^2)-x)+1)))))))+(-(-(-(-(-(((1/50)*(((2*x^19)+(3*x^18)+(4*x^17)+(5*x^16)+(6*x^15)+(9*x^14)+(11*x^13)+(8*x^12)+(10*x^11)+(7*x^10)+(11*x^9)+(9*x^8)+(7*x^7)+(5*x^6)+(3*x^5)+(3*x^4)+(2*x^3)+x^2)-1))/(x^20+x^15+x^10+x^5+1)^2))))))+(-(-(-(-(((1/250000)*((16879*x^3)+(17559*x^2)+(3740*x)+2772))/(x^4+x^3+x^2+x+1)^2)))))+(-(-(-(-(((1/400)*(x^3+x^2))/((((x^4-x^3)+x^2)-x)+1)^2)))))+(-(-(-(-(3381/32000/(x+1))))))+(-(-(-(-(3104101/20000000/(x-1))))))+(-(-(-(((1/12500)*((91*x^3)-(27*x^2)-(149*x)-80))/(x^4+x^3+x^2+x+1)^3))))+(-(-(-(9/1600/(x+1)^2))))+(-(-(-(((1/2500)*(x^3+(4*x^2)+(4*x)+1))/(x^4+x^3+x^2+x+1)^4))))+(-(-(1/8000/(x+1)^3)))+(-(-(34621/500000/(x-1)^3)))+(-(333/50000/(x-1)^4))+(-(87/250000/(x-1)^5))+(1/125000/(x-1)^6))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257171 = (((-1000)*(A001302+(-((((1/500)*(((((137*x^19)+(123*x^18)+(44*x^17)+(30*x^16))-(49*x^15))+(74*x^14))-(19*x^13)-(27*x^12)-(120*x^11)-(128*x^10)-(84*x^9)-(106*x^8)-(128*x^7)-(150*x^6)-(172*x^5)-(57*x^4)-(93*x^3)-(89*x^2)-(125*x)-121))/(x^20+x^15+x^10+x^5+1))+(-(-(-(-(-(-(((1/20)*(((9*x^19)+(11*x^18)+(12*x^17)+(14*x^16)+(15*x^15)+(8*x^14)+(7*x^13)+(5*x^12)+(4*x^11)+(2*x^10)+(10*x^9)+(10*x^8)+(10*x^7)+(10*x^6)+(10*x^5)+x^4)-x^3-(3*x^2)-(5*x)-7))/((((x^20-x^15)+x^10)-x^5)+1))))))))+(-(-(-(-(-(((1/625000)*((99093*x^3)+(180705*x^2)+(115456*x)+115116))/(x^4+x^3+x^2+x+1)))))))+(-(-(-(-(-(((1/1000)*(((67*x^3)+x^2+(24*x))-20))/((((x^4-x^3)+x^2)-x)+1)))))))+(-(-(-(-(-(((1/50)*(((2*x^19)+(3*x^18)+(4*x^17)+(5*x^16)+(6*x^15)+(9*x^14)+(11*x^13)+(8*x^12)+(10*x^11)+(7*x^10)+(11*x^9)+(9*x^8)+(7*x^7)+(5*x^6)+(3*x^5)+(3*x^4)+(2*x^3)+x^2)-1))/(x^20+x^15+x^10+x^5+1)^2))))))+(-(-(-(-(((1/250000)*((16879*x^3)+(17559*x^2)+(3740*x)+2772))/(x^4+x^3+x^2+x+1)^2)))))+(-(-(-(-(((1/400)*(x^3+x^2))/((((x^4-x^3)+x^2)-x)+1)^2)))))+(-(-(-(-(3381/32000/(x+1))))))+(-(-(-(-(3104101/20000000/(x-1))))))+(-(-(-(((1/12500)*((91*x^3)-(27*x^2)-(149*x)-80))/(x^4+x^3+x^2+x+1)^3))))+(-(-(-(9/1600/(x+1)^2))))+(-(-(-(3606571/10000000/(x-1)^2))))+(-(-(-(((1/2500)*(x^3+(4*x^2)+(4*x)+1))/(x^4+x^3+x^2+x+1)^4))))+(-(-(34621/500000/(x-1)^3)))+(-(333/50000/(x-1)^4))+(-(87/250000/(x-1)^5))+(1/125000/(x-1)^6)))))+(2*x)+(-(-(3/8/(x+1))))+(-(-(3/8/(x-1))))+(-(3/4/(x-1)^2))+(-(3/8/(x-1)^3))+(-(3/4/(x-1)^4))+(-1))
A257850 = ((800*integrate((A001302+(-((((1/500)*(((((137*x^19)+(123*x^18)+(44*x^17)+(30*x^16))-(49*x^15))+(74*x^14))-(19*x^13)-(27*x^12)-(120*x^11)-(128*x^10)-(84*x^9)-(106*x^8)-(128*x^7)-(150*x^6)-(172*x^5)-(57*x^4)-(93*x^3)-(89*x^2)-(125*x)-121))/(x^20+x^15+x^10+x^5+1))+(-(-(-(-(-(-(((1/20)*(((9*x^19)+(11*x^18)+(12*x^17)+(14*x^16)+(15*x^15)+(8*x^14)+(7*x^13)+(5*x^12)+(4*x^11)+(2*x^10)+(10*x^9)+(10*x^8)+(10*x^7)+(10*x^6)+(10*x^5)+x^4)-x^3-(3*x^2)-(5*x)-7))/((((x^20-x^15)+x^10)-x^5)+1))))))))+(-(-(-(-(-(((1/625000)*((99093*x^3)+(180705*x^2)+(115456*x)+115116))/(x^4+x^3+x^2+x+1)))))))+(-(-(-(-(-(((1/1000)*(((67*x^3)+x^2+(24*x))-20))/((((x^4-x^3)+x^2)-x)+1)))))))+(-(-(-(-(-(((1/50)*(((2*x^19)+(3*x^18)+(4*x^17)+(5*x^16)+(6*x^15)+(9*x^14)+(11*x^13)+(8*x^12)+(10*x^11)+(7*x^10)+(11*x^9)+(9*x^8)+(7*x^7)+(5*x^6)+(3*x^5)+(3*x^4)+(2*x^3)+x^2)-1))/(x^20+x^15+x^10+x^5+1)^2))))))+(-(-(-(-(((1/250000)*((16879*x^3)+(17559*x^2)+(3740*x)+2772))/(x^4+x^3+x^2+x+1)^2)))))+(-(-(-(-(((1/400)*(x^3+x^2))/((((x^4-x^3)+x^2)-x)+1)^2)))))+(-(-(-(-(3381/32000/(x+1))))))+(-(-(-(-(3104101/20000000/(x-1))))))+(-(-(-(((1/12500)*((91*x^3)-(27*x^2)-(149*x)-80))/(x^4+x^3+x^2+x+1)^3))))+(-(-(-(9/1600/(x+1)^2))))+(-(-(-(3606571/10000000/(x-1)^2))))+(-(-(-(((1/2500)*(x^3+(4*x^2)+(4*x)+1))/(x^4+x^3+x^2+x+1)^4))))+(-(-(34621/500000/(x-1)^3)))+(-(333/50000/(x-1)^4))+(-(87/250000/(x-1)^5))+(1/125000/(x-1)^6))))))+(((1/5)*((15*x^3)+(4*x^2)+(8*x)+9))/((((x^4-x^3)+x^2)-x)+1))+(-(-(((1/5)*((11*x^3)+(16*x^2)+(15*x)+8))/(x^4+x^3+x^2+x+1))))+(-(-(((1/2)*((2*x^3)+(2*x^2)+x))/(x^4+x^3+x^2+x+1)^2)))+(-(-(((1/2)*(((2*x^2)-x)+2))/((((x^4-x^3)+x^2)-x)+1)^2)))+(-(1/2/(x+1)))+(-(33/10/(x-1)))+(9/20/(x-1)^2))
A254233 = (((-(125/6))*differential((A001302+(-((((1/500)*(((((137*x^19)+(123*x^18)+(44*x^17)+(30*x^16))-(49*x^15))+(74*x^14))-(19*x^13)-(27*x^12)-(120*x^11)-(128*x^10)-(84*x^9)-(106*x^8)-(128*x^7)-(150*x^6)-(172*x^5)-(57*x^4)-(93*x^3)-(89*x^2)-(125*x)-121))/(x^20+x^15+x^10+x^5+1))+(-(-(-(-(-(-(((1/20)*(((9*x^19)+(11*x^18)+(12*x^17)+(14*x^16)+(15*x^15)+(8*x^14)+(7*x^13)+(5*x^12)+(4*x^11)+(2*x^10)+(10*x^9)+(10*x^8)+(10*x^7)+(10*x^6)+(10*x^5)+x^4)-x^3-(3*x^2)-(5*x)-7))/((((x^20-x^15)+x^10)-x^5)+1))))))))+(-(-(-(-(-(((1/625000)*((99093*x^3)+(180705*x^2)+(115456*x)+115116))/(x^4+x^3+x^2+x+1)))))))+(-(-(-(-(-(((1/1000)*(((67*x^3)+x^2+(24*x))-20))/((((x^4-x^3)+x^2)-x)+1)))))))+(-(-(-(-(-(((1/50)*(((2*x^19)+(3*x^18)+(4*x^17)+(5*x^16)+(6*x^15)+(9*x^14)+(11*x^13)+(8*x^12)+(10*x^11)+(7*x^10)+(11*x^9)+(9*x^8)+(7*x^7)+(5*x^6)+(3*x^5)+(3*x^4)+(2*x^3)+x^2)-1))/(x^20+x^15+x^10+x^5+1)^2))))))+(-(-(-(-(((1/250000)*((16879*x^3)+(17559*x^2)+(3740*x)+2772))/(x^4+x^3+x^2+x+1)^2)))))+(-(-(-(-(((1/400)*(x^3+x^2))/((((x^4-x^3)+x^2)-x)+1)^2)))))+(-(-(-(-(3381/32000/(x+1))))))+(-(-(-(-(3104101/20000000/(x-1))))))+(-(-(-(((1/12500)*((91*x^3)-(27*x^2)-(149*x)-80))/(x^4+x^3+x^2+x+1)^3))))+(-(-(-(9/1600/(x+1)^2))))+(-(-(-(3606571/10000000/(x-1)^2))))+(-(-(-(((1/2500)*(x^3+(4*x^2)+(4*x)+1))/(x^4+x^3+x^2+x+1)^4))))+(-(-(34621/500000/(x-1)^3)))+(-(333/50000/(x-1)^4))+(-(87/250000/(x-1)^5))+(1/125000/(x-1)^6))))))+(((1/972)*((113*x)+137))/(x^2+x+1))+(-(-(-(-(-(((1/12)*(x-1))/((x^2-x)+1)))))))+(-(-(-(-(3/32/(x^2+1))))))+(-(-(-(-(((1/162)*((12*x)+11))/(x^2+x+1)^2)))))+(-(-(-(-(41/384/(x+1))))))+(-(-(-(-(4345/31104/(x-1))))))+(-(-(-(83/1536/(x+1)^2))))+(-(-(-(9205/124416/(x-1)^2))))+(-(-(-(((1/27)*x)/(x^2+x+1)^3))))+(-(-(-(3/128/(x+1)^3))))+(-(-(-(3/64/(x-1)^3))))+(-(-(23/576/(x-1)^4)))+(-(-(5/144/(x-1)^5)))+(-(1/32/(x-1)^6))+(-(1/36/(x-1)^7))+(1/36/(x-1)^8))
A257464 = (((-(437500/103863))*(A001302+(-((((1/500)*(((((137*x^19)+(123*x^18)+(44*x^17)+(30*x^16))-(49*x^15))+(74*x^14))-(19*x^13)-(27*x^12)-(120*x^11)-(128*x^10)-(84*x^9)-(106*x^8)-(128*x^7)-(150*x^6)-(172*x^5)-(57*x^4)-(93*x^3)-(89*x^2)-(125*x)-121))/(x^20+x^15+x^10+x^5+1))+(-(-(-(-(-(-(((1/20)*(((9*x^19)+(11*x^18)+(12*x^17)+(14*x^16)+(15*x^15)+(8*x^14)+(7*x^13)+(5*x^12)+(4*x^11)+(2*x^10)+(10*x^9)+(10*x^8)+(10*x^7)+(10*x^6)+(10*x^5)+x^4)-x^3-(3*x^2)-(5*x)-7))/((((x^20-x^15)+x^10)-x^5)+1))))))))+(-(-(-(-(-(((1/625000)*((99093*x^3)+(180705*x^2)+(115456*x)+115116))/(x^4+x^3+x^2+x+1)))))))+(-(-(-(-(-(((1/1000)*(((67*x^3)+x^2+(24*x))-20))/((((x^4-x^3)+x^2)-x)+1)))))))+(-(-(-(-(-(((1/50)*(((2*x^19)+(3*x^18)+(4*x^17)+(5*x^16)+(6*x^15)+(9*x^14)+(11*x^13)+(8*x^12)+(10*x^11)+(7*x^10)+(11*x^9)+(9*x^8)+(7*x^7)+(5*x^6)+(3*x^5)+(3*x^4)+(2*x^3)+x^2)-1))/(x^20+x^15+x^10+x^5+1)^2))))))+(-(-(-(-(((1/250000)*((16879*x^3)+(17559*x^2)+(3740*x)+2772))/(x^4+x^3+x^2+x+1)^2)))))+(-(-(-(-(((1/400)*(x^3+x^2))/((((x^4-x^3)+x^2)-x)+1)^2)))))+(-(-(-(-(3381/32000/(x+1))))))+(-(-(-(-(3104101/20000000/(x-1))))))+(-(-(-(((1/12500)*((91*x^3)-(27*x^2)-(149*x)-80))/(x^4+x^3+x^2+x+1)^3))))+(-(-(-(9/1600/(x+1)^2))))+(-(-(-(3606571/10000000/(x-1)^2))))+(-(-(-(((1/2500)*(x^3+(4*x^2)+(4*x)+1))/(x^4+x^3+x^2+x+1)^4))))+(-(-(1/8000/(x+1)^3)))+(-(333/50000/(x-1)^4))+(-(87/250000/(x-1)^5))+(1/125000/(x-1)^6)))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257890 = (((-(1000000/34621))*integrate((A001302+(-((((1/500)*(((((137*x^19)+(123*x^18)+(44*x^17)+(30*x^16))-(49*x^15))+(74*x^14))-(19*x^13)-(27*x^12)-(120*x^11)-(128*x^10)-(84*x^9)-(106*x^8)-(128*x^7)-(150*x^6)-(172*x^5)-(57*x^4)-(93*x^3)-(89*x^2)-(125*x)-121))/(x^20+x^15+x^10+x^5+1))+(-(-(-(-(-(-(((1/20)*(((9*x^19)+(11*x^18)+(12*x^17)+(14*x^16)+(15*x^15)+(8*x^14)+(7*x^13)+(5*x^12)+(4*x^11)+(2*x^10)+(10*x^9)+(10*x^8)+(10*x^7)+(10*x^6)+(10*x^5)+x^4)-x^3-(3*x^2)-(5*x)-7))/((((x^20-x^15)+x^10)-x^5)+1))))))))+(-(-(-(-(-(((1/625000)*((99093*x^3)+(180705*x^2)+(115456*x)+115116))/(x^4+x^3+x^2+x+1)))))))+(-(-(-(-(-(((1/1000)*(((67*x^3)+x^2+(24*x))-20))/((((x^4-x^3)+x^2)-x)+1)))))))+(-(-(-(-(-(((1/50)*(((2*x^19)+(3*x^18)+(4*x^17)+(5*x^16)+(6*x^15)+(9*x^14)+(11*x^13)+(8*x^12)+(10*x^11)+(7*x^10)+(11*x^9)+(9*x^8)+(7*x^7)+(5*x^6)+(3*x^5)+(3*x^4)+(2*x^3)+x^2)-1))/(x^20+x^15+x^10+x^5+1)^2))))))+(-(-(-(-(((1/250000)*((16879*x^3)+(17559*x^2)+(3740*x)+2772))/(x^4+x^3+x^2+x+1)^2)))))+(-(-(-(-(((1/400)*(x^3+x^2))/((((x^4-x^3)+x^2)-x)+1)^2)))))+(-(-(-(-(3381/32000/(x+1))))))+(-(-(-(-(3104101/20000000/(x-1))))))+(-(-(-(((1/12500)*((91*x^3)-(27*x^2)-(149*x)-80))/(x^4+x^3+x^2+x+1)^3))))+(-(-(-(9/1600/(x+1)^2))))+(-(-(-(3606571/10000000/(x-1)^2))))+(-(-(-(((1/2500)*(x^3+(4*x^2)+(4*x)+1))/(x^4+x^3+x^2+x+1)^4))))+(-(-(1/8000/(x+1)^3)))+(-(333/50000/(x-1)^4))+(-(87/250000/(x-1)^5))+(1/125000/(x-1)^6))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257890 = (((-(500000/103863))*differential((A001302+(-((((1/500)*(((((137*x^19)+(123*x^18)+(44*x^17)+(30*x^16))-(49*x^15))+(74*x^14))-(19*x^13)-(27*x^12)-(120*x^11)-(128*x^10)-(84*x^9)-(106*x^8)-(128*x^7)-(150*x^6)-(172*x^5)-(57*x^4)-(93*x^3)-(89*x^2)-(125*x)-121))/(x^20+x^15+x^10+x^5+1))+(-(-(-(-(-(-(((1/20)*(((9*x^19)+(11*x^18)+(12*x^17)+(14*x^16)+(15*x^15)+(8*x^14)+(7*x^13)+(5*x^12)+(4*x^11)+(2*x^10)+(10*x^9)+(10*x^8)+(10*x^7)+(10*x^6)+(10*x^5)+x^4)-x^3-(3*x^2)-(5*x)-7))/((((x^20-x^15)+x^10)-x^5)+1))))))))+(-(-(-(-(-(((1/625000)*((99093*x^3)+(180705*x^2)+(115456*x)+115116))/(x^4+x^3+x^2+x+1)))))))+(-(-(-(-(-(((1/1000)*(((67*x^3)+x^2+(24*x))-20))/((((x^4-x^3)+x^2)-x)+1)))))))+(-(-(-(-(-(((1/50)*(((2*x^19)+(3*x^18)+(4*x^17)+(5*x^16)+(6*x^15)+(9*x^14)+(11*x^13)+(8*x^12)+(10*x^11)+(7*x^10)+(11*x^9)+(9*x^8)+(7*x^7)+(5*x^6)+(3*x^5)+(3*x^4)+(2*x^3)+x^2)-1))/(x^20+x^15+x^10+x^5+1)^2))))))+(-(-(-(-(((1/250000)*((16879*x^3)+(17559*x^2)+(3740*x)+2772))/(x^4+x^3+x^2+x+1)^2)))))+(-(-(-(-(((1/400)*(x^3+x^2))/((((x^4-x^3)+x^2)-x)+1)^2)))))+(-(-(-(-(3381/32000/(x+1))))))+(-(-(-(-(3104101/20000000/(x-1))))))+(-(-(-(((1/12500)*((91*x^3)-(27*x^2)-(149*x)-80))/(x^4+x^3+x^2+x+1)^3))))+(-(-(-(9/1600/(x+1)^2))))+(-(-(-(3606571/10000000/(x-1)^2))))+(-(-(-(((1/2500)*(x^3+(4*x^2)+(4*x)+1))/(x^4+x^3+x^2+x+1)^4))))+(-(-(1/8000/(x+1)^3)))+(-(333/50000/(x-1)^4))+(-(87/250000/(x-1)^5))+(1/125000/(x-1)^6))))))+(1/(x-1)^2)+(1/(x-1)^6))
A257890 = (((-(50000/333))*(A001302+(-((((1/500)*(((((137*x^19)+(123*x^18)+(44*x^17)+(30*x^16))-(49*x^15))+(74*x^14))-(19*x^13)-(27*x^12)-(120*x^11)-(128*x^10)-(84*x^9)-(106*x^8)-(128*x^7)-(150*x^6)-(172*x^5)-(57*x^4)-(93*x^3)-(89*x^2)-(125*x)-121))/(x^20+x^15+x^10+x^5+1))+(-(-(-(-(-(-(((1/20)*(((9*x^19)+(11*x^18)+(12*x^17)+(14*x^16)+(15*x^15)+(8*x^14)+(7*x^13)+(5*x^12)+(4*x^11)+(2*x^10)+(10*x^9)+(10*x^8)+(10*x^7)+(10*x^6)+(10*x^5)+x^4)-x^3-(3*x^2)-(5*x)-7))/((((x^20-x^15)+x^10)-x^5)+1))))))))+(-(-(-(-(-(((1/625000)*((99093*x^3)+(180705*x^2)+(115456*x)+115116))/(x^4+x^3+x^2+x+1)))))))+(-(-(-(-(-(((1/1000)*(((67*x^3)+x^2+(24*x))-20))/((((x^4-x^3)+x^2)-x)+1)))))))+(-(-(-(-(-(((1/50)*(((2*x^19)+(3*x^18)+(4*x^17)+(5*x^16)+(6*x^15)+(9*x^14)+(11*x^13)+(8*x^12)+(10*x^11)+(7*x^10)+(11*x^9)+(9*x^8)+(7*x^7)+(5*x^6)+(3*x^5)+(3*x^4)+(2*x^3)+x^2)-1))/(x^20+x^15+x^10+x^5+1)^2))))))+(-(-(-(-(((1/250000)*((16879*x^3)+(17559*x^2)+(3740*x)+2772))/(x^4+x^3+x^2+x+1)^2)))))+(-(-(-(-(((1/400)*(x^3+x^2))/((((x^4-x^3)+x^2)-x)+1)^2)))))+(-(-(-(-(3381/32000/(x+1))))))+(-(-(-(-(3104101/20000000/(x-1))))))+(-(-(-(((1/12500)*((91*x^3)-(27*x^2)-(149*x)-80))/(x^4+x^3+x^2+x+1)^3))))+(-(-(-(9/1600/(x+1)^2))))+(-(-(-(3606571/10000000/(x-1)^2))))+(-(-(-(((1/2500)*(x^3+(4*x^2)+(4*x)+1))/(x^4+x^3+x^2+x+1)^4))))+(-(-(1/8000/(x+1)^3)))+(-(-(34621/500000/(x-1)^3)))+(-(87/250000/(x-1)^5))+(1/125000/(x-1)^6)))))+(1/(x-1)^2)+(1/(x-1)^6))
A257464 = (((-(43750/333))*integrate((A001302+(-((((1/500)*(((((137*x^19)+(123*x^18)+(44*x^17)+(30*x^16))-(49*x^15))+(74*x^14))-(19*x^13)-(27*x^12)-(120*x^11)-(128*x^10)-(84*x^9)-(106*x^8)-(128*x^7)-(150*x^6)-(172*x^5)-(57*x^4)-(93*x^3)-(89*x^2)-(125*x)-121))/(x^20+x^15+x^10+x^5+1))+(-(-(-(-(-(-(((1/20)*(((9*x^19)+(11*x^18)+(12*x^17)+(14*x^16)+(15*x^15)+(8*x^14)+(7*x^13)+(5*x^12)+(4*x^11)+(2*x^10)+(10*x^9)+(10*x^8)+(10*x^7)+(10*x^6)+(10*x^5)+x^4)-x^3-(3*x^2)-(5*x)-7))/((((x^20-x^15)+x^10)-x^5)+1))))))))+(-(-(-(-(-(((1/625000)*((99093*x^3)+(180705*x^2)+(115456*x)+115116))/(x^4+x^3+x^2+x+1)))))))+(-(-(-(-(-(((1/1000)*(((67*x^3)+x^2+(24*x))-20))/((((x^4-x^3)+x^2)-x)+1)))))))+(-(-(-(-(-(((1/50)*(((2*x^19)+(3*x^18)+(4*x^17)+(5*x^16)+(6*x^15)+(9*x^14)+(11*x^13)+(8*x^12)+(10*x^11)+(7*x^10)+(11*x^9)+(9*x^8)+(7*x^7)+(5*x^6)+(3*x^5)+(3*x^4)+(2*x^3)+x^2)-1))/(x^20+x^15+x^10+x^5+1)^2))))))+(-(-(-(-(((1/250000)*((16879*x^3)+(17559*x^2)+(3740*x)+2772))/(x^4+x^3+x^2+x+1)^2)))))+(-(-(-(-(((1/400)*(x^3+x^2))/((((x^4-x^3)+x^2)-x)+1)^2)))))+(-(-(-(-(3381/32000/(x+1))))))+(-(-(-(-(3104101/20000000/(x-1))))))+(-(-(-(((1/12500)*((91*x^3)-(27*x^2)-(149*x)-80))/(x^4+x^3+x^2+x+1)^3))))+(-(-(-(9/1600/(x+1)^2))))+(-(-(-(3606571/10000000/(x-1)^2))))+(-(-(-(((1/2500)*(x^3+(4*x^2)+(4*x)+1))/(x^4+x^3+x^2+x+1)^4))))+(-(-(1/8000/(x+1)^3)))+(-(-(34621/500000/(x-1)^3)))+(-(87/250000/(x-1)^5))+(1/125000/(x-1)^6))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257464 = (((-(6250/333))*differential((A001302+(-((((1/500)*(((((137*x^19)+(123*x^18)+(44*x^17)+(30*x^16))-(49*x^15))+(74*x^14))-(19*x^13)-(27*x^12)-(120*x^11)-(128*x^10)-(84*x^9)-(106*x^8)-(128*x^7)-(150*x^6)-(172*x^5)-(57*x^4)-(93*x^3)-(89*x^2)-(125*x)-121))/(x^20+x^15+x^10+x^5+1))+(-(-(-(-(-(-(((1/20)*(((9*x^19)+(11*x^18)+(12*x^17)+(14*x^16)+(15*x^15)+(8*x^14)+(7*x^13)+(5*x^12)+(4*x^11)+(2*x^10)+(10*x^9)+(10*x^8)+(10*x^7)+(10*x^6)+(10*x^5)+x^4)-x^3-(3*x^2)-(5*x)-7))/((((x^20-x^15)+x^10)-x^5)+1))))))))+(-(-(-(-(-(((1/625000)*((99093*x^3)+(180705*x^2)+(115456*x)+115116))/(x^4+x^3+x^2+x+1)))))))+(-(-(-(-(-(((1/1000)*(((67*x^3)+x^2+(24*x))-20))/((((x^4-x^3)+x^2)-x)+1)))))))+(-(-(-(-(-(((1/50)*(((2*x^19)+(3*x^18)+(4*x^17)+(5*x^16)+(6*x^15)+(9*x^14)+(11*x^13)+(8*x^12)+(10*x^11)+(7*x^10)+(11*x^9)+(9*x^8)+(7*x^7)+(5*x^6)+(3*x^5)+(3*x^4)+(2*x^3)+x^2)-1))/(x^20+x^15+x^10+x^5+1)^2))))))+(-(-(-(-(((1/250000)*((16879*x^3)+(17559*x^2)+(3740*x)+2772))/(x^4+x^3+x^2+x+1)^2)))))+(-(-(-(-(((1/400)*(x^3+x^2))/((((x^4-x^3)+x^2)-x)+1)^2)))))+(-(-(-(-(3381/32000/(x+1))))))+(-(-(-(-(3104101/20000000/(x-1))))))+(-(-(-(((1/12500)*((91*x^3)-(27*x^2)-(149*x)-80))/(x^4+x^3+x^2+x+1)^3))))+(-(-(-(9/1600/(x+1)^2))))+(-(-(-(3606571/10000000/(x-1)^2))))+(-(-(-(((1/2500)*(x^3+(4*x^2)+(4*x)+1))/(x^4+x^3+x^2+x+1)^4))))+(-(-(1/8000/(x+1)^3)))+(-(-(34621/500000/(x-1)^3)))+(-(87/250000/(x-1)^5))+(1/125000/(x-1)^6))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(7/24/(x-1)^3))+(-(1/2/(x-1)^4)))
A257464 = (((125000/87)*(A001302+(-((((1/500)*(((((137*x^19)+(123*x^18)+(44*x^17)+(30*x^16))-(49*x^15))+(74*x^14))-(19*x^13)-(27*x^12)-(120*x^11)-(128*x^10)-(84*x^9)-(106*x^8)-(128*x^7)-(150*x^6)-(172*x^5)-(57*x^4)-(93*x^3)-(89*x^2)-(125*x)-121))/(x^20+x^15+x^10+x^5+1))+(-(-(-(-(-(-(((1/20)*(((9*x^19)+(11*x^18)+(12*x^17)+(14*x^16)+(15*x^15)+(8*x^14)+(7*x^13)+(5*x^12)+(4*x^11)+(2*x^10)+(10*x^9)+(10*x^8)+(10*x^7)+(10*x^6)+(10*x^5)+x^4)-x^3-(3*x^2)-(5*x)-7))/((((x^20-x^15)+x^10)-x^5)+1))))))))+(-(-(-(-(-(((1/625000)*((99093*x^3)+(180705*x^2)+(115456*x)+115116))/(x^4+x^3+x^2+x+1)))))))+(-(-(-(-(-(((1/1000)*(((67*x^3)+x^2+(24*x))-20))/((((x^4-x^3)+x^2)-x)+1)))))))+(-(-(-(-(-(((1/50)*(((2*x^19)+(3*x^18)+(4*x^17)+(5*x^16)+(6*x^15)+(9*x^14)+(11*x^13)+(8*x^12)+(10*x^11)+(7*x^10)+(11*x^9)+(9*x^8)+(7*x^7)+(5*x^6)+(3*x^5)+(3*x^4)+(2*x^3)+x^2)-1))/(x^20+x^15+x^10+x^5+1)^2))))))+(-(-(-(-(((1/250000)*((16879*x^3)+(17559*x^2)+(3740*x)+2772))/(x^4+x^3+x^2+x+1)^2)))))+(-(-(-(-(((1/400)*(x^3+x^2))/((((x^4-x^3)+x^2)-x)+1)^2)))))+(-(-(-(-(3381/32000/(x+1))))))+(-(-(-(-(3104101/20000000/(x-1))))))+(-(-(-(((1/12500)*((91*x^3)-(27*x^2)-(149*x)-80))/(x^4+x^3+x^2+x+1)^3))))+(-(-(-(9/1600/(x+1)^2))))+(-(-(-(3606571/10000000/(x-1)^2))))+(-(-(-(((1/2500)*(x^3+(4*x^2)+(4*x)+1))/(x^4+x^3+x^2+x+1)^4))))+(-(-(1/8000/(x+1)^3)))+(-(-(34621/500000/(x-1)^3)))+(-(333/50000/(x-1)^4))+(1/125000/(x-1)^6)))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(7/24/(x-1)^3))+(-(1/2/(x-1)^4)))
A257890 = (((1000000/87)*integrate((A001302+(-((((1/500)*(((((137*x^19)+(123*x^18)+(44*x^17)+(30*x^16))-(49*x^15))+(74*x^14))-(19*x^13)-(27*x^12)-(120*x^11)-(128*x^10)-(84*x^9)-(106*x^8)-(128*x^7)-(150*x^6)-(172*x^5)-(57*x^4)-(93*x^3)-(89*x^2)-(125*x)-121))/(x^20+x^15+x^10+x^5+1))+(-(-(-(-(-(-(((1/20)*(((9*x^19)+(11*x^18)+(12*x^17)+(14*x^16)+(15*x^15)+(8*x^14)+(7*x^13)+(5*x^12)+(4*x^11)+(2*x^10)+(10*x^9)+(10*x^8)+(10*x^7)+(10*x^6)+(10*x^5)+x^4)-x^3-(3*x^2)-(5*x)-7))/((((x^20-x^15)+x^10)-x^5)+1))))))))+(-(-(-(-(-(((1/625000)*((99093*x^3)+(180705*x^2)+(115456*x)+115116))/(x^4+x^3+x^2+x+1)))))))+(-(-(-(-(-(((1/1000)*(((67*x^3)+x^2+(24*x))-20))/((((x^4-x^3)+x^2)-x)+1)))))))+(-(-(-(-(-(((1/50)*(((2*x^19)+(3*x^18)+(4*x^17)+(5*x^16)+(6*x^15)+(9*x^14)+(11*x^13)+(8*x^12)+(10*x^11)+(7*x^10)+(11*x^9)+(9*x^8)+(7*x^7)+(5*x^6)+(3*x^5)+(3*x^4)+(2*x^3)+x^2)-1))/(x^20+x^15+x^10+x^5+1)^2))))))+(-(-(-(-(((1/250000)*((16879*x^3)+(17559*x^2)+(3740*x)+2772))/(x^4+x^3+x^2+x+1)^2)))))+(-(-(-(-(((1/400)*(x^3+x^2))/((((x^4-x^3)+x^2)-x)+1)^2)))))+(-(-(-(-(3381/32000/(x+1))))))+(-(-(-(-(3104101/20000000/(x-1))))))+(-(-(-(((1/12500)*((91*x^3)-(27*x^2)-(149*x)-80))/(x^4+x^3+x^2+x+1)^3))))+(-(-(-(9/1600/(x+1)^2))))+(-(-(-(3606571/10000000/(x-1)^2))))+(-(-(-(((1/2500)*(x^3+(4*x^2)+(4*x)+1))/(x^4+x^3+x^2+x+1)^4))))+(-(-(1/8000/(x+1)^3)))+(-(-(34621/500000/(x-1)^3)))+(-(333/50000/(x-1)^4))+(1/125000/(x-1)^6))))))+(1/(x-1)^2)+(1/(x-1)^6))
A257890 = (((50000/87)*differential((A001302+(-((((1/500)*(((((137*x^19)+(123*x^18)+(44*x^17)+(30*x^16))-(49*x^15))+(74*x^14))-(19*x^13)-(27*x^12)-(120*x^11)-(128*x^10)-(84*x^9)-(106*x^8)-(128*x^7)-(150*x^6)-(172*x^5)-(57*x^4)-(93*x^3)-(89*x^2)-(125*x)-121))/(x^20+x^15+x^10+x^5+1))+(-(-(-(-(-(-(((1/20)*(((9*x^19)+(11*x^18)+(12*x^17)+(14*x^16)+(15*x^15)+(8*x^14)+(7*x^13)+(5*x^12)+(4*x^11)+(2*x^10)+(10*x^9)+(10*x^8)+(10*x^7)+(10*x^6)+(10*x^5)+x^4)-x^3-(3*x^2)-(5*x)-7))/((((x^20-x^15)+x^10)-x^5)+1))))))))+(-(-(-(-(-(((1/625000)*((99093*x^3)+(180705*x^2)+(115456*x)+115116))/(x^4+x^3+x^2+x+1)))))))+(-(-(-(-(-(((1/1000)*(((67*x^3)+x^2+(24*x))-20))/((((x^4-x^3)+x^2)-x)+1)))))))+(-(-(-(-(-(((1/50)*(((2*x^19)+(3*x^18)+(4*x^17)+(5*x^16)+(6*x^15)+(9*x^14)+(11*x^13)+(8*x^12)+(10*x^11)+(7*x^10)+(11*x^9)+(9*x^8)+(7*x^7)+(5*x^6)+(3*x^5)+(3*x^4)+(2*x^3)+x^2)-1))/(x^20+x^15+x^10+x^5+1)^2))))))+(-(-(-(-(((1/250000)*((16879*x^3)+(17559*x^2)+(3740*x)+2772))/(x^4+x^3+x^2+x+1)^2)))))+(-(-(-(-(((1/400)*(x^3+x^2))/((((x^4-x^3)+x^2)-x)+1)^2)))))+(-(-(-(-(3381/32000/(x+1))))))+(-(-(-(-(3104101/20000000/(x-1))))))+(-(-(-(((1/12500)*((91*x^3)-(27*x^2)-(149*x)-80))/(x^4+x^3+x^2+x+1)^3))))+(-(-(-(9/1600/(x+1)^2))))+(-(-(-(3606571/10000000/(x-1)^2))))+(-(-(-(((1/2500)*(x^3+(4*x^2)+(4*x)+1))/(x^4+x^3+x^2+x+1)^4))))+(-(-(1/8000/(x+1)^3)))+(-(-(34621/500000/(x-1)^3)))+(-(333/50000/(x-1)^4))+(1/125000/(x-1)^6))))))+(1/(x-1)^2)+(1/(x-1)^4))
A257890 = ((125000*(A001302+(-((((1/500)*(((((137*x^19)+(123*x^18)+(44*x^17)+(30*x^16))-(49*x^15))+(74*x^14))-(19*x^13)-(27*x^12)-(120*x^11)-(128*x^10)-(84*x^9)-(106*x^8)-(128*x^7)-(150*x^6)-(172*x^5)-(57*x^4)-(93*x^3)-(89*x^2)-(125*x)-121))/(x^20+x^15+x^10+x^5+1))+(-(-(-(-(-(-(((1/20)*(((9*x^19)+(11*x^18)+(12*x^17)+(14*x^16)+(15*x^15)+(8*x^14)+(7*x^13)+(5*x^12)+(4*x^11)+(2*x^10)+(10*x^9)+(10*x^8)+(10*x^7)+(10*x^6)+(10*x^5)+x^4)-x^3-(3*x^2)-(5*x)-7))/((((x^20-x^15)+x^10)-x^5)+1))))))))+(-(-(-(-(-(((1/625000)*((99093*x^3)+(180705*x^2)+(115456*x)+115116))/(x^4+x^3+x^2+x+1)))))))+(-(-(-(-(-(((1/1000)*(((67*x^3)+x^2+(24*x))-20))/((((x^4-x^3)+x^2)-x)+1)))))))+(-(-(-(-(-(((1/50)*(((2*x^19)+(3*x^18)+(4*x^17)+(5*x^16)+(6*x^15)+(9*x^14)+(11*x^13)+(8*x^12)+(10*x^11)+(7*x^10)+(11*x^9)+(9*x^8)+(7*x^7)+(5*x^6)+(3*x^5)+(3*x^4)+(2*x^3)+x^2)-1))/(x^20+x^15+x^10+x^5+1)^2))))))+(-(-(-(-(((1/250000)*((16879*x^3)+(17559*x^2)+(3740*x)+2772))/(x^4+x^3+x^2+x+1)^2)))))+(-(-(-(-(((1/400)*(x^3+x^2))/((((x^4-x^3)+x^2)-x)+1)^2)))))+(-(-(-(-(3381/32000/(x+1))))))+(-(-(-(-(3104101/20000000/(x-1))))))+(-(-(-(((1/12500)*((91*x^3)-(27*x^2)-(149*x)-80))/(x^4+x^3+x^2+x+1)^3))))+(-(-(-(9/1600/(x+1)^2))))+(-(-(-(3606571/10000000/(x-1)^2))))+(-(-(-(((1/2500)*(x^3+(4*x^2)+(4*x)+1))/(x^4+x^3+x^2+x+1)^4))))+(-(-(1/8000/(x+1)^3)))+(-(-(34621/500000/(x-1)^3)))+(-(333/50000/(x-1)^4))+(-(87/250000/(x-1)^5))))))+(1/(x-1)^2)+(1/(x-1)^4))
A257464 = ((312500*integrate((A001302+(-((((1/500)*(((((137*x^19)+(123*x^18)+(44*x^17)+(30*x^16))-(49*x^15))+(74*x^14))-(19*x^13)-(27*x^12)-(120*x^11)-(128*x^10)-(84*x^9)-(106*x^8)-(128*x^7)-(150*x^6)-(172*x^5)-(57*x^4)-(93*x^3)-(89*x^2)-(125*x)-121))/(x^20+x^15+x^10+x^5+1))+(-(-(-(-(-(-(((1/20)*(((9*x^19)+(11*x^18)+(12*x^17)+(14*x^16)+(15*x^15)+(8*x^14)+(7*x^13)+(5*x^12)+(4*x^11)+(2*x^10)+(10*x^9)+(10*x^8)+(10*x^7)+(10*x^6)+(10*x^5)+x^4)-x^3-(3*x^2)-(5*x)-7))/((((x^20-x^15)+x^10)-x^5)+1))))))))+(-(-(-(-(-(((1/625000)*((99093*x^3)+(180705*x^2)+(115456*x)+115116))/(x^4+x^3+x^2+x+1)))))))+(-(-(-(-(-(((1/1000)*(((67*x^3)+x^2+(24*x))-20))/((((x^4-x^3)+x^2)-x)+1)))))))+(-(-(-(-(-(((1/50)*(((2*x^19)+(3*x^18)+(4*x^17)+(5*x^16)+(6*x^15)+(9*x^14)+(11*x^13)+(8*x^12)+(10*x^11)+(7*x^10)+(11*x^9)+(9*x^8)+(7*x^7)+(5*x^6)+(3*x^5)+(3*x^4)+(2*x^3)+x^2)-1))/(x^20+x^15+x^10+x^5+1)^2))))))+(-(-(-(-(((1/250000)*((16879*x^3)+(17559*x^2)+(3740*x)+2772))/(x^4+x^3+x^2+x+1)^2)))))+(-(-(-(-(((1/400)*(x^3+x^2))/((((x^4-x^3)+x^2)-x)+1)^2)))))+(-(-(-(-(3381/32000/(x+1))))))+(-(-(-(-(3104101/20000000/(x-1))))))+(-(-(-(((1/12500)*((91*x^3)-(27*x^2)-(149*x)-80))/(x^4+x^3+x^2+x+1)^3))))+(-(-(-(9/1600/(x+1)^2))))+(-(-(-(3606571/10000000/(x-1)^2))))+(-(-(-(((1/2500)*(x^3+(4*x^2)+(4*x)+1))/(x^4+x^3+x^2+x+1)^4))))+(-(-(1/8000/(x+1)^3)))+(-(-(34621/500000/(x-1)^3)))+(-(333/50000/(x-1)^4))+(-(87/250000/(x-1)^5)))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(7/24/(x-1)^3))+(-(1/2/(x-1)^4)))
A257201 = (((-(125000/3))*differential((A001302+(-((((1/500)*(((((137*x^19)+(123*x^18)+(44*x^17)+(30*x^16))-(49*x^15))+(74*x^14))-(19*x^13)-(27*x^12)-(120*x^11)-(128*x^10)-(84*x^9)-(106*x^8)-(128*x^7)-(150*x^6)-(172*x^5)-(57*x^4)-(93*x^3)-(89*x^2)-(125*x)-121))/(x^20+x^15+x^10+x^5+1))+(-(-(-(-(-(-(((1/20)*(((9*x^19)+(11*x^18)+(12*x^17)+(14*x^16)+(15*x^15)+(8*x^14)+(7*x^13)+(5*x^12)+(4*x^11)+(2*x^10)+(10*x^9)+(10*x^8)+(10*x^7)+(10*x^6)+(10*x^5)+x^4)-x^3-(3*x^2)-(5*x)-7))/((((x^20-x^15)+x^10)-x^5)+1))))))))+(-(-(-(-(-(((1/625000)*((99093*x^3)+(180705*x^2)+(115456*x)+115116))/(x^4+x^3+x^2+x+1)))))))+(-(-(-(-(-(((1/1000)*(((67*x^3)+x^2+(24*x))-20))/((((x^4-x^3)+x^2)-x)+1)))))))+(-(-(-(-(-(((1/50)*(((2*x^19)+(3*x^18)+(4*x^17)+(5*x^16)+(6*x^15)+(9*x^14)+(11*x^13)+(8*x^12)+(10*x^11)+(7*x^10)+(11*x^9)+(9*x^8)+(7*x^7)+(5*x^6)+(3*x^5)+(3*x^4)+(2*x^3)+x^2)-1))/(x^20+x^15+x^10+x^5+1)^2))))))+(-(-(-(-(((1/250000)*((16879*x^3)+(17559*x^2)+(3740*x)+2772))/(x^4+x^3+x^2+x+1)^2)))))+(-(-(-(-(((1/400)*(x^3+x^2))/((((x^4-x^3)+x^2)-x)+1)^2)))))+(-(-(-(-(3381/32000/(x+1))))))+(-(-(-(-(3104101/20000000/(x-1))))))+(-(-(-(((1/12500)*((91*x^3)-(27*x^2)-(149*x)-80))/(x^4+x^3+x^2+x+1)^3))))+(-(-(-(9/1600/(x+1)^2))))+(-(-(-(3606571/10000000/(x-1)^2))))+(-(-(-(((1/2500)*(x^3+(4*x^2)+(4*x)+1))/(x^4+x^3+x^2+x+1)^4))))+(-(-(1/8000/(x+1)^3)))+(-(-(34621/500000/(x-1)^3)))+(-(333/50000/(x-1)^4))+(-(87/250000/(x-1)^5)))))))+(1/(x-1)^5)+(2/(x-1)^6)+(1/(x-1)^8))
A257890 = (((-1)*(A001303+(-((-(11/(x-1)^5))+(-(25/(x-1)^6))+(-(15/(x-1)^7))))))+(1/(x-1)^2)+(1/(x-1)^6))
A257464 = (((-(7/8))*integrate((A001303+(-((-(11/(x-1)^5))+(-(25/(x-1)^6))+(-(15/(x-1)^7)))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257464 = (((-(1/8))*differential((A001303+(-((-(11/(x-1)^5))+(-(25/(x-1)^6))+(-(15/(x-1)^7)))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(7/24/(x-1)^3))+(-(1/2/(x-1)^4)))
A257464 = (((1/22)*(A001303+(-((-(1/(x-1)^4))+(-(25/(x-1)^6))+(-(15/(x-1)^7))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(7/24/(x-1)^3))+(-(1/2/(x-1)^4)))
A257890 = (((4/11)*integrate((A001303+(-((-(1/(x-1)^4))+(-(25/(x-1)^6))+(-(15/(x-1)^7)))))))+(1/(x-1)^2)+(1/(x-1)^6))
A257890 = (((1/55)*differential((A001303+(-((-(1/(x-1)^4))+(-(25/(x-1)^6))+(-(15/(x-1)^7)))))))+(1/(x-1)^2)+(1/(x-1)^4))
A257890 = (((-(1/25))*(A001303+(-((-(1/(x-1)^4))+(-(11/(x-1)^5))+(-(15/(x-1)^7))))))+(1/(x-1)^2)+(1/(x-1)^4))
A257464 = (((-(1/10))*integrate((A001303+(-((-(1/(x-1)^4))+(-(11/(x-1)^5))+(-(15/(x-1)^7)))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(7/24/(x-1)^3))+(-(1/2/(x-1)^4)))
A257201 = (((1/75)*differential((A001303+(-((-(1/(x-1)^4))+(-(11/(x-1)^5))+(-(15/(x-1)^7)))))))+(1/(x-1)^5)+(2/(x-1)^6)+(1/(x-1)^8))
A257201 = (((-(2/15))*(A001303+(-((-(1/(x-1)^4))+(-(11/(x-1)^5))+(-(25/(x-1)^6))))))+(1/(x-1)^5)+(2/(x-1)^6)+(1/(x-1)^8))
A257890 = (((2/5)*integrate((A001303+(-((-(1/(x-1)^4))+(-(11/(x-1)^5))+(-(25/(x-1)^6)))))))+(1/(x-1)^2)+(1/(x-1)^4))
A257201 = (((1/105)*differential((A001303+(-((-(1/(x-1)^4))+(-(11/(x-1)^5))+(-(25/(x-1)^6)))))))+(1/(x-1)^5)+(2/(x-1)^6)+(2/(x-1)^7))
A257850 = (((4/5)*differential((A001304+(-((((1/5)*(x^3+x^2))/(x^4+x^3+x^2+x+1))+(-(-(21/80/(x-1))))+(-(13/40/(x-1)^2))+(-(1/4/(x-1)^3))+(1/10/(x-1)^4))))))+(((1/5)*((15*x^3)+(4*x^2)+(8*x)+9))/((((x^4-x^3)+x^2)-x)+1))+(-(-(((1/5)*((11*x^3)+(16*x^2)+(15*x)+8))/(x^4+x^3+x^2+x+1))))+(-(-(((1/2)*((2*x^3)+(2*x^2)+x))/(x^4+x^3+x^2+x+1)^2)))+(-(-(((1/2)*(((2*x^2)-x)+2))/((((x^4-x^3)+x^2)-x)+1)^2)))+(-(1/2/(x+1)))+(-(33/10/(x-1)))+(9/20/(x-1)^2))
A257890 = (((-(80/21))*differential((A001304+(-((((1/5)*(x^3+x^2))/(x^4+x^3+x^2+x+1))+(-(-(1/16/(x+1))))+(-(13/40/(x-1)^2))+(-(1/4/(x-1)^3))+(1/10/(x-1)^4))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257890 = (((-(40/13))*(A001304+(-((((1/5)*(x^3+x^2))/(x^4+x^3+x^2+x+1))+(-(-(1/16/(x+1))))+(-(-(21/80/(x-1))))+(-(1/4/(x-1)^3))+(1/10/(x-1)^4)))))+(1/(x-1)^4)+(1/(x-1)^6))
A257464 = (((-(35/78))*differential((A001304+(-((((1/5)*(x^3+x^2))/(x^4+x^3+x^2+x+1))+(-(-(1/16/(x+1))))+(-(-(21/80/(x-1))))+(-(1/4/(x-1)^3))+(1/10/(x-1)^4))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257464 = (((7/6)*(A001304+(-((((1/5)*(x^3+x^2))/(x^4+x^3+x^2+x+1))+(-(-(1/16/(x+1))))+(-(-(21/80/(x-1))))+(-(13/40/(x-1)^2))+(1/10/(x-1)^4)))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257890 = ((8*integrate((A001304+(-((((1/5)*(x^3+x^2))/(x^4+x^3+x^2+x+1))+(-(-(1/16/(x+1))))+(-(-(21/80/(x-1))))+(-(13/40/(x-1)^2))+(1/10/(x-1)^4))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257890 = (((4/3)*differential((A001304+(-((((1/5)*(x^3+x^2))/(x^4+x^3+x^2+x+1))+(-(-(1/16/(x+1))))+(-(-(21/80/(x-1))))+(-(13/40/(x-1)^2))+(1/10/(x-1)^4))))))+(1/(x-1)^2)+(1/(x-1)^6))
A257890 = ((10*(A001304+(-((((1/5)*(x^3+x^2))/(x^4+x^3+x^2+x+1))+(-(-(1/16/(x+1))))+(-(-(21/80/(x-1))))+(-(13/40/(x-1)^2))+(-(1/4/(x-1)^3))))))+(1/(x-1)^2)+(1/(x-1)^6))
A257464 = (((35/4)*integrate((A001304+(-((((1/5)*(x^3+x^2))/(x^4+x^3+x^2+x+1))+(-(-(1/16/(x+1))))+(-(-(21/80/(x-1))))+(-(13/40/(x-1)^2))+(-(1/4/(x-1)^3)))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257464 = (((5/4)*differential((A001304+(-((((1/5)*(x^3+x^2))/(x^4+x^3+x^2+x+1))+(-(-(1/16/(x+1))))+(-(-(21/80/(x-1))))+(-(13/40/(x-1)^2))+(-(1/4/(x-1)^3)))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(7/24/(x-1)^3))+(-(1/2/(x-1)^4)))
A257850 = (((-(640/587))*differential((A001305+(-((-(((1/40)*(((9*x^7)+(16*x^6)+(12*x^5)+(8*x^4)+(12*x^3)+(13*x^2)+(4*x))-4))/((((x^8-x^6)+x^4)-x^2)+1)))+(-(-(-(((1/20000)*((3229*x^3)+(3509*x^2)+(1540*x)+1172))/(x^4+x^3+x^2+x+1)))))+(-(-(-(((1/800)*((((143*x^3)-(103*x^2))+(36*x))-148))/((((x^4-x^3)+x^2)-x)+1)))))+(-(-(-(((1/160)*(x-1))/(x^2+1)))))+(-(-(-(((1/1000)*((41*x^3)-(2*x^2)-(49*x)-30))/(x^4+x^3+x^2+x+1)^2))))+(-(-(-(((1/80)*((2*x^3)-x^2-2))/((((x^4-x^3)+x^2)-x)+1)^2))))+(-(-(-(53539/320000/(x-1)))))+(-(-(-(((1/200)*(x^3+(4*x^2)+(4*x)+1))/(x^4+x^3+x^2+x+1)^3))))+(-(-(9/1600/(x+1)^2)))+(-(-(87967/160000/(x-1)^2)))+(-(-(1/3200/(x+1)^3)))+(-(-(203/800/(x-1)^3)))+(-(49/800/(x-1)^4))+(-(33/4000/(x-1)^5))+(1/2000/(x-1)^6))))))+(((1/5)*((15*x^3)+(4*x^2)+(8*x)+9))/((((x^4-x^3)+x^2)-x)+1))+(-(-(((1/5)*((11*x^3)+(16*x^2)+(15*x)+8))/(x^4+x^3+x^2+x+1))))+(-(-(((1/2)*((2*x^3)+(2*x^2)+x))/(x^4+x^3+x^2+x+1)^2)))+(-(-(((1/2)*(((2*x^2)-x)+2))/((((x^4-x^3)+x^2)-x)+1)^2)))+(-(1/2/(x+1)))+(-(33/10/(x-1)))+(9/20/(x-1)^2))
A257890 = (((320000/53539)*differential((A001305+(-((-(((1/40)*(((9*x^7)+(16*x^6)+(12*x^5)+(8*x^4)+(12*x^3)+(13*x^2)+(4*x))-4))/((((x^8-x^6)+x^4)-x^2)+1)))+(-(-(-(((1/20000)*((3229*x^3)+(3509*x^2)+(1540*x)+1172))/(x^4+x^3+x^2+x+1)))))+(-(-(-(((1/800)*((((143*x^3)-(103*x^2))+(36*x))-148))/((((x^4-x^3)+x^2)-x)+1)))))+(-(-(-(((1/160)*(x-1))/(x^2+1)))))+(-(-(-(((1/1000)*((41*x^3)-(2*x^2)-(49*x)-30))/(x^4+x^3+x^2+x+1)^2))))+(-(-(-(((1/80)*((2*x^3)-x^2-2))/((((x^4-x^3)+x^2)-x)+1)^2))))+(-(-(-(587/12800/(x+1)))))+(-(-(-(((1/200)*(x^3+(4*x^2)+(4*x)+1))/(x^4+x^3+x^2+x+1)^3))))+(-(-(9/1600/(x+1)^2)))+(-(-(87967/160000/(x-1)^2)))+(-(-(1/3200/(x+1)^3)))+(-(-(203/800/(x-1)^3)))+(-(49/800/(x-1)^4))+(-(33/4000/(x-1)^5))+(1/2000/(x-1)^6))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257850 = (((-(80/9))*(A001305+(-((-(((1/40)*(((9*x^7)+(16*x^6)+(12*x^5)+(8*x^4)+(12*x^3)+(13*x^2)+(4*x))-4))/((((x^8-x^6)+x^4)-x^2)+1)))+(-(-(-(((1/20000)*((3229*x^3)+(3509*x^2)+(1540*x)+1172))/(x^4+x^3+x^2+x+1)))))+(-(-(-(((1/800)*((((143*x^3)-(103*x^2))+(36*x))-148))/((((x^4-x^3)+x^2)-x)+1)))))+(-(-(-(((1/160)*(x-1))/(x^2+1)))))+(-(-(-(((1/1000)*((41*x^3)-(2*x^2)-(49*x)-30))/(x^4+x^3+x^2+x+1)^2))))+(-(-(-(((1/80)*((2*x^3)-x^2-2))/((((x^4-x^3)+x^2)-x)+1)^2))))+(-(-(-(587/12800/(x+1)))))+(-(-(-(53539/320000/(x-1)))))+(-(-(-(((1/200)*(x^3+(4*x^2)+(4*x)+1))/(x^4+x^3+x^2+x+1)^3))))+(-(-(87967/160000/(x-1)^2)))+(-(-(1/3200/(x+1)^3)))+(-(-(203/800/(x-1)^3)))+(-(49/800/(x-1)^4))+(-(33/4000/(x-1)^5))+(1/2000/(x-1)^6)))))+(((1/5)*((15*x^3)+(4*x^2)+(8*x)+9))/((((x^4-x^3)+x^2)-x)+1))+(-(-(((1/5)*((11*x^3)+(16*x^2)+(15*x)+8))/(x^4+x^3+x^2+x+1))))+(-(-(((1/2)*((2*x^3)+(2*x^2)+x))/(x^4+x^3+x^2+x+1)^2)))+(-(-(((1/2)*(((2*x^2)-x)+2))/((((x^4-x^3)+x^2)-x)+1)^2)))+(-(1/2/(x+1)))+(-(33/10/(x-1)))+(9/20/(x-1)^2))
A257171 = (((100/9)*differential((A001305+(-((-(((1/40)*(((9*x^7)+(16*x^6)+(12*x^5)+(8*x^4)+(12*x^3)+(13*x^2)+(4*x))-4))/((((x^8-x^6)+x^4)-x^2)+1)))+(-(-(-(((1/20000)*((3229*x^3)+(3509*x^2)+(1540*x)+1172))/(x^4+x^3+x^2+x+1)))))+(-(-(-(((1/800)*((((143*x^3)-(103*x^2))+(36*x))-148))/((((x^4-x^3)+x^2)-x)+1)))))+(-(-(-(((1/160)*(x-1))/(x^2+1)))))+(-(-(-(((1/1000)*((41*x^3)-(2*x^2)-(49*x)-30))/(x^4+x^3+x^2+x+1)^2))))+(-(-(-(((1/80)*((2*x^3)-x^2-2))/((((x^4-x^3)+x^2)-x)+1)^2))))+(-(-(-(587/12800/(x+1)))))+(-(-(-(53539/320000/(x-1)))))+(-(-(-(((1/200)*(x^3+(4*x^2)+(4*x)+1))/(x^4+x^3+x^2+x+1)^3))))+(-(-(87967/160000/(x-1)^2)))+(-(-(1/3200/(x+1)^3)))+(-(-(203/800/(x-1)^3)))+(-(49/800/(x-1)^4))+(-(33/4000/(x-1)^5))+(1/2000/(x-1)^6))))))+(2*x)+(-(-(3/8/(x+1))))+(-(-(3/8/(x-1))))+(-(3/4/(x-1)^2))+(-(3/8/(x-1)^3))+(-(3/4/(x-1)^4))+(-1))
A257890 = (((160000/87967)*(A001305+(-((-(((1/40)*(((9*x^7)+(16*x^6)+(12*x^5)+(8*x^4)+(12*x^3)+(13*x^2)+(4*x))-4))/((((x^8-x^6)+x^4)-x^2)+1)))+(-(-(-(((1/20000)*((3229*x^3)+(3509*x^2)+(1540*x)+1172))/(x^4+x^3+x^2+x+1)))))+(-(-(-(((1/800)*((((143*x^3)-(103*x^2))+(36*x))-148))/((((x^4-x^3)+x^2)-x)+1)))))+(-(-(-(((1/160)*(x-1))/(x^2+1)))))+(-(-(-(((1/1000)*((41*x^3)-(2*x^2)-(49*x)-30))/(x^4+x^3+x^2+x+1)^2))))+(-(-(-(((1/80)*((2*x^3)-x^2-2))/((((x^4-x^3)+x^2)-x)+1)^2))))+(-(-(-(587/12800/(x+1)))))+(-(-(-(53539/320000/(x-1)))))+(-(-(-(((1/200)*(x^3+(4*x^2)+(4*x)+1))/(x^4+x^3+x^2+x+1)^3))))+(-(-(9/1600/(x+1)^2)))+(-(-(1/3200/(x+1)^3)))+(-(-(203/800/(x-1)^3)))+(-(49/800/(x-1)^4))+(-(33/4000/(x-1)^5))+(1/2000/(x-1)^6)))))+(1/(x-1)^4)+(1/(x-1)^6))
A257464 = (((70000/263901)*differential((A001305+(-((-(((1/40)*(((9*x^7)+(16*x^6)+(12*x^5)+(8*x^4)+(12*x^3)+(13*x^2)+(4*x))-4))/((((x^8-x^6)+x^4)-x^2)+1)))+(-(-(-(((1/20000)*((3229*x^3)+(3509*x^2)+(1540*x)+1172))/(x^4+x^3+x^2+x+1)))))+(-(-(-(((1/800)*((((143*x^3)-(103*x^2))+(36*x))-148))/((((x^4-x^3)+x^2)-x)+1)))))+(-(-(-(((1/160)*(x-1))/(x^2+1)))))+(-(-(-(((1/1000)*((41*x^3)-(2*x^2)-(49*x)-30))/(x^4+x^3+x^2+x+1)^2))))+(-(-(-(((1/80)*((2*x^3)-x^2-2))/((((x^4-x^3)+x^2)-x)+1)^2))))+(-(-(-(587/12800/(x+1)))))+(-(-(-(53539/320000/(x-1)))))+(-(-(-(((1/200)*(x^3+(4*x^2)+(4*x)+1))/(x^4+x^3+x^2+x+1)^3))))+(-(-(9/1600/(x+1)^2)))+(-(-(1/3200/(x+1)^3)))+(-(-(203/800/(x-1)^3)))+(-(49/800/(x-1)^4))+(-(33/4000/(x-1)^5))+(1/2000/(x-1)^6))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257171 = (((-400)*(A001305+(-((-(((1/40)*(((9*x^7)+(16*x^6)+(12*x^5)+(8*x^4)+(12*x^3)+(13*x^2)+(4*x))-4))/((((x^8-x^6)+x^4)-x^2)+1)))+(-(-(-(((1/20000)*((3229*x^3)+(3509*x^2)+(1540*x)+1172))/(x^4+x^3+x^2+x+1)))))+(-(-(-(((1/800)*((((143*x^3)-(103*x^2))+(36*x))-148))/((((x^4-x^3)+x^2)-x)+1)))))+(-(-(-(((1/160)*(x-1))/(x^2+1)))))+(-(-(-(((1/1000)*((41*x^3)-(2*x^2)-(49*x)-30))/(x^4+x^3+x^2+x+1)^2))))+(-(-(-(((1/80)*((2*x^3)-x^2-2))/((((x^4-x^3)+x^2)-x)+1)^2))))+(-(-(-(587/12800/(x+1)))))+(-(-(-(53539/320000/(x-1)))))+(-(-(-(((1/200)*(x^3+(4*x^2)+(4*x)+1))/(x^4+x^3+x^2+x+1)^3))))+(-(-(9/1600/(x+1)^2)))+(-(-(87967/160000/(x-1)^2)))+(-(-(203/800/(x-1)^3)))+(-(49/800/(x-1)^4))+(-(33/4000/(x-1)^5))+(1/2000/(x-1)^6)))))+(2*x)+(-(-(3/8/(x+1))))+(-(-(3/8/(x-1))))+(-(3/4/(x-1)^2))+(-(3/8/(x-1)^3))+(-(3/4/(x-1)^4))+(-1))
A257850 = ((320*integrate((A001305+(-((-(((1/40)*(((9*x^7)+(16*x^6)+(12*x^5)+(8*x^4)+(12*x^3)+(13*x^2)+(4*x))-4))/((((x^8-x^6)+x^4)-x^2)+1)))+(-(-(-(((1/20000)*((3229*x^3)+(3509*x^2)+(1540*x)+1172))/(x^4+x^3+x^2+x+1)))))+(-(-(-(((1/800)*((((143*x^3)-(103*x^2))+(36*x))-148))/((((x^4-x^3)+x^2)-x)+1)))))+(-(-(-(((1/160)*(x-1))/(x^2+1)))))+(-(-(-(((1/1000)*((41*x^3)-(2*x^2)-(49*x)-30))/(x^4+x^3+x^2+x+1)^2))))+(-(-(-(((1/80)*((2*x^3)-x^2-2))/((((x^4-x^3)+x^2)-x)+1)^2))))+(-(-(-(587/12800/(x+1)))))+(-(-(-(53539/320000/(x-1)))))+(-(-(-(((1/200)*(x^3+(4*x^2)+(4*x)+1))/(x^4+x^3+x^2+x+1)^3))))+(-(-(9/1600/(x+1)^2)))+(-(-(87967/160000/(x-1)^2)))+(-(-(203/800/(x-1)^3)))+(-(49/800/(x-1)^4))+(-(33/4000/(x-1)^5))+(1/2000/(x-1)^6))))))+(((1/5)*((15*x^3)+(4*x^2)+(8*x)+9))/((((x^4-x^3)+x^2)-x)+1))+(-(-(((1/5)*((11*x^3)+(16*x^2)+(15*x)+8))/(x^4+x^3+x^2+x+1))))+(-(-(((1/2)*((2*x^3)+(2*x^2)+x))/(x^4+x^3+x^2+x+1)^2)))+(-(-(((1/2)*(((2*x^2)-x)+2))/((((x^4-x^3)+x^2)-x)+1)^2)))+(-(1/2/(x+1)))+(-(33/10/(x-1)))+(9/20/(x-1)^2))
A254233 = (((-(25/3))*differential((A001305+(-((-(((1/40)*(((9*x^7)+(16*x^6)+(12*x^5)+(8*x^4)+(12*x^3)+(13*x^2)+(4*x))-4))/((((x^8-x^6)+x^4)-x^2)+1)))+(-(-(-(((1/20000)*((3229*x^3)+(3509*x^2)+(1540*x)+1172))/(x^4+x^3+x^2+x+1)))))+(-(-(-(((1/800)*((((143*x^3)-(103*x^2))+(36*x))-148))/((((x^4-x^3)+x^2)-x)+1)))))+(-(-(-(((1/160)*(x-1))/(x^2+1)))))+(-(-(-(((1/1000)*((41*x^3)-(2*x^2)-(49*x)-30))/(x^4+x^3+x^2+x+1)^2))))+(-(-(-(((1/80)*((2*x^3)-x^2-2))/((((x^4-x^3)+x^2)-x)+1)^2))))+(-(-(-(587/12800/(x+1)))))+(-(-(-(53539/320000/(x-1)))))+(-(-(-(((1/200)*(x^3+(4*x^2)+(4*x)+1))/(x^4+x^3+x^2+x+1)^3))))+(-(-(9/1600/(x+1)^2)))+(-(-(87967/160000/(x-1)^2)))+(-(-(203/800/(x-1)^3)))+(-(49/800/(x-1)^4))+(-(33/4000/(x-1)^5))+(1/2000/(x-1)^6))))))+(((1/972)*((113*x)+137))/(x^2+x+1))+(-(-(-(-(-(((1/12)*(x-1))/((x^2-x)+1)))))))+(-(-(-(-(3/32/(x^2+1))))))+(-(-(-(-(((1/162)*((12*x)+11))/(x^2+x+1)^2)))))+(-(-(-(-(41/384/(x+1))))))+(-(-(-(-(4345/31104/(x-1))))))+(-(-(-(83/1536/(x+1)^2))))+(-(-(-(9205/124416/(x-1)^2))))+(-(-(-(((1/27)*x)/(x^2+x+1)^3))))+(-(-(-(3/128/(x+1)^3))))+(-(-(-(3/64/(x-1)^3))))+(-(-(23/576/(x-1)^4)))+(-(-(5/144/(x-1)^5)))+(-(1/32/(x-1)^6))+(-(1/36/(x-1)^7))+(1/36/(x-1)^8))
A257464 = (((-(100/87))*(A001305+(-((-(((1/40)*(((9*x^7)+(16*x^6)+(12*x^5)+(8*x^4)+(12*x^3)+(13*x^2)+(4*x))-4))/((((x^8-x^6)+x^4)-x^2)+1)))+(-(-(-(((1/20000)*((3229*x^3)+(3509*x^2)+(1540*x)+1172))/(x^4+x^3+x^2+x+1)))))+(-(-(-(((1/800)*((((143*x^3)-(103*x^2))+(36*x))-148))/((((x^4-x^3)+x^2)-x)+1)))))+(-(-(-(((1/160)*(x-1))/(x^2+1)))))+(-(-(-(((1/1000)*((41*x^3)-(2*x^2)-(49*x)-30))/(x^4+x^3+x^2+x+1)^2))))+(-(-(-(((1/80)*((2*x^3)-x^2-2))/((((x^4-x^3)+x^2)-x)+1)^2))))+(-(-(-(587/12800/(x+1)))))+(-(-(-(53539/320000/(x-1)))))+(-(-(-(((1/200)*(x^3+(4*x^2)+(4*x)+1))/(x^4+x^3+x^2+x+1)^3))))+(-(-(9/1600/(x+1)^2)))+(-(-(87967/160000/(x-1)^2)))+(-(-(1/3200/(x+1)^3)))+(-(49/800/(x-1)^4))+(-(33/4000/(x-1)^5))+(1/2000/(x-1)^6)))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257890 = (((-(1600/203))*integrate((A001305+(-((-(((1/40)*(((9*x^7)+(16*x^6)+(12*x^5)+(8*x^4)+(12*x^3)+(13*x^2)+(4*x))-4))/((((x^8-x^6)+x^4)-x^2)+1)))+(-(-(-(((1/20000)*((3229*x^3)+(3509*x^2)+(1540*x)+1172))/(x^4+x^3+x^2+x+1)))))+(-(-(-(((1/800)*((((143*x^3)-(103*x^2))+(36*x))-148))/((((x^4-x^3)+x^2)-x)+1)))))+(-(-(-(((1/160)*(x-1))/(x^2+1)))))+(-(-(-(((1/1000)*((41*x^3)-(2*x^2)-(49*x)-30))/(x^4+x^3+x^2+x+1)^2))))+(-(-(-(((1/80)*((2*x^3)-x^2-2))/((((x^4-x^3)+x^2)-x)+1)^2))))+(-(-(-(587/12800/(x+1)))))+(-(-(-(53539/320000/(x-1)))))+(-(-(-(((1/200)*(x^3+(4*x^2)+(4*x)+1))/(x^4+x^3+x^2+x+1)^3))))+(-(-(9/1600/(x+1)^2)))+(-(-(87967/160000/(x-1)^2)))+(-(-(1/3200/(x+1)^3)))+(-(49/800/(x-1)^4))+(-(33/4000/(x-1)^5))+(1/2000/(x-1)^6))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257890 = (((-(800/609))*differential((A001305+(-((-(((1/40)*(((9*x^7)+(16*x^6)+(12*x^5)+(8*x^4)+(12*x^3)+(13*x^2)+(4*x))-4))/((((x^8-x^6)+x^4)-x^2)+1)))+(-(-(-(((1/20000)*((3229*x^3)+(3509*x^2)+(1540*x)+1172))/(x^4+x^3+x^2+x+1)))))+(-(-(-(((1/800)*((((143*x^3)-(103*x^2))+(36*x))-148))/((((x^4-x^3)+x^2)-x)+1)))))+(-(-(-(((1/160)*(x-1))/(x^2+1)))))+(-(-(-(((1/1000)*((41*x^3)-(2*x^2)-(49*x)-30))/(x^4+x^3+x^2+x+1)^2))))+(-(-(-(((1/80)*((2*x^3)-x^2-2))/((((x^4-x^3)+x^2)-x)+1)^2))))+(-(-(-(587/12800/(x+1)))))+(-(-(-(53539/320000/(x-1)))))+(-(-(-(((1/200)*(x^3+(4*x^2)+(4*x)+1))/(x^4+x^3+x^2+x+1)^3))))+(-(-(9/1600/(x+1)^2)))+(-(-(87967/160000/(x-1)^2)))+(-(-(1/3200/(x+1)^3)))+(-(49/800/(x-1)^4))+(-(33/4000/(x-1)^5))+(1/2000/(x-1)^6))))))+(1/(x-1)^2)+(1/(x-1)^6))
A257890 = (((-(800/49))*(A001305+(-((-(((1/40)*(((9*x^7)+(16*x^6)+(12*x^5)+(8*x^4)+(12*x^3)+(13*x^2)+(4*x))-4))/((((x^8-x^6)+x^4)-x^2)+1)))+(-(-(-(((1/20000)*((3229*x^3)+(3509*x^2)+(1540*x)+1172))/(x^4+x^3+x^2+x+1)))))+(-(-(-(((1/800)*((((143*x^3)-(103*x^2))+(36*x))-148))/((((x^4-x^3)+x^2)-x)+1)))))+(-(-(-(((1/160)*(x-1))/(x^2+1)))))+(-(-(-(((1/1000)*((41*x^3)-(2*x^2)-(49*x)-30))/(x^4+x^3+x^2+x+1)^2))))+(-(-(-(((1/80)*((2*x^3)-x^2-2))/((((x^4-x^3)+x^2)-x)+1)^2))))+(-(-(-(587/12800/(x+1)))))+(-(-(-(53539/320000/(x-1)))))+(-(-(-(((1/200)*(x^3+(4*x^2)+(4*x)+1))/(x^4+x^3+x^2+x+1)^3))))+(-(-(9/1600/(x+1)^2)))+(-(-(87967/160000/(x-1)^2)))+(-(-(1/3200/(x+1)^3)))+(-(-(203/800/(x-1)^3)))+(-(33/4000/(x-1)^5))+(1/2000/(x-1)^6)))))+(1/(x-1)^2)+(1/(x-1)^6))
A257464 = (((-(100/7))*integrate((A001305+(-((-(((1/40)*(((9*x^7)+(16*x^6)+(12*x^5)+(8*x^4)+(12*x^3)+(13*x^2)+(4*x))-4))/((((x^8-x^6)+x^4)-x^2)+1)))+(-(-(-(((1/20000)*((3229*x^3)+(3509*x^2)+(1540*x)+1172))/(x^4+x^3+x^2+x+1)))))+(-(-(-(((1/800)*((((143*x^3)-(103*x^2))+(36*x))-148))/((((x^4-x^3)+x^2)-x)+1)))))+(-(-(-(((1/160)*(x-1))/(x^2+1)))))+(-(-(-(((1/1000)*((41*x^3)-(2*x^2)-(49*x)-30))/(x^4+x^3+x^2+x+1)^2))))+(-(-(-(((1/80)*((2*x^3)-x^2-2))/((((x^4-x^3)+x^2)-x)+1)^2))))+(-(-(-(587/12800/(x+1)))))+(-(-(-(53539/320000/(x-1)))))+(-(-(-(((1/200)*(x^3+(4*x^2)+(4*x)+1))/(x^4+x^3+x^2+x+1)^3))))+(-(-(9/1600/(x+1)^2)))+(-(-(87967/160000/(x-1)^2)))+(-(-(1/3200/(x+1)^3)))+(-(-(203/800/(x-1)^3)))+(-(33/4000/(x-1)^5))+(1/2000/(x-1)^6))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257464 = (((-(100/49))*differential((A001305+(-((-(((1/40)*(((9*x^7)+(16*x^6)+(12*x^5)+(8*x^4)+(12*x^3)+(13*x^2)+(4*x))-4))/((((x^8-x^6)+x^4)-x^2)+1)))+(-(-(-(((1/20000)*((3229*x^3)+(3509*x^2)+(1540*x)+1172))/(x^4+x^3+x^2+x+1)))))+(-(-(-(((1/800)*((((143*x^3)-(103*x^2))+(36*x))-148))/((((x^4-x^3)+x^2)-x)+1)))))+(-(-(-(((1/160)*(x-1))/(x^2+1)))))+(-(-(-(((1/1000)*((41*x^3)-(2*x^2)-(49*x)-30))/(x^4+x^3+x^2+x+1)^2))))+(-(-(-(((1/80)*((2*x^3)-x^2-2))/((((x^4-x^3)+x^2)-x)+1)^2))))+(-(-(-(587/12800/(x+1)))))+(-(-(-(53539/320000/(x-1)))))+(-(-(-(((1/200)*(x^3+(4*x^2)+(4*x)+1))/(x^4+x^3+x^2+x+1)^3))))+(-(-(9/1600/(x+1)^2)))+(-(-(87967/160000/(x-1)^2)))+(-(-(1/3200/(x+1)^3)))+(-(-(203/800/(x-1)^3)))+(-(33/4000/(x-1)^5))+(1/2000/(x-1)^6))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(7/24/(x-1)^3))+(-(1/2/(x-1)^4)))
A257464 = (((2000/33)*(A001305+(-((-(((1/40)*(((9*x^7)+(16*x^6)+(12*x^5)+(8*x^4)+(12*x^3)+(13*x^2)+(4*x))-4))/((((x^8-x^6)+x^4)-x^2)+1)))+(-(-(-(((1/20000)*((3229*x^3)+(3509*x^2)+(1540*x)+1172))/(x^4+x^3+x^2+x+1)))))+(-(-(-(((1/800)*((((143*x^3)-(103*x^2))+(36*x))-148))/((((x^4-x^3)+x^2)-x)+1)))))+(-(-(-(((1/160)*(x-1))/(x^2+1)))))+(-(-(-(((1/1000)*((41*x^3)-(2*x^2)-(49*x)-30))/(x^4+x^3+x^2+x+1)^2))))+(-(-(-(((1/80)*((2*x^3)-x^2-2))/((((x^4-x^3)+x^2)-x)+1)^2))))+(-(-(-(587/12800/(x+1)))))+(-(-(-(53539/320000/(x-1)))))+(-(-(-(((1/200)*(x^3+(4*x^2)+(4*x)+1))/(x^4+x^3+x^2+x+1)^3))))+(-(-(9/1600/(x+1)^2)))+(-(-(87967/160000/(x-1)^2)))+(-(-(1/3200/(x+1)^3)))+(-(-(203/800/(x-1)^3)))+(-(49/800/(x-1)^4))+(1/2000/(x-1)^6)))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(7/24/(x-1)^3))+(-(1/2/(x-1)^4)))
A257890 = (((16000/33)*integrate((A001305+(-((-(((1/40)*(((9*x^7)+(16*x^6)+(12*x^5)+(8*x^4)+(12*x^3)+(13*x^2)+(4*x))-4))/((((x^8-x^6)+x^4)-x^2)+1)))+(-(-(-(((1/20000)*((3229*x^3)+(3509*x^2)+(1540*x)+1172))/(x^4+x^3+x^2+x+1)))))+(-(-(-(((1/800)*((((143*x^3)-(103*x^2))+(36*x))-148))/((((x^4-x^3)+x^2)-x)+1)))))+(-(-(-(((1/160)*(x-1))/(x^2+1)))))+(-(-(-(((1/1000)*((41*x^3)-(2*x^2)-(49*x)-30))/(x^4+x^3+x^2+x+1)^2))))+(-(-(-(((1/80)*((2*x^3)-x^2-2))/((((x^4-x^3)+x^2)-x)+1)^2))))+(-(-(-(587/12800/(x+1)))))+(-(-(-(53539/320000/(x-1)))))+(-(-(-(((1/200)*(x^3+(4*x^2)+(4*x)+1))/(x^4+x^3+x^2+x+1)^3))))+(-(-(9/1600/(x+1)^2)))+(-(-(87967/160000/(x-1)^2)))+(-(-(1/3200/(x+1)^3)))+(-(-(203/800/(x-1)^3)))+(-(49/800/(x-1)^4))+(1/2000/(x-1)^6))))))+(1/(x-1)^2)+(1/(x-1)^6))
A257890 = (((800/33)*differential((A001305+(-((-(((1/40)*(((9*x^7)+(16*x^6)+(12*x^5)+(8*x^4)+(12*x^3)+(13*x^2)+(4*x))-4))/((((x^8-x^6)+x^4)-x^2)+1)))+(-(-(-(((1/20000)*((3229*x^3)+(3509*x^2)+(1540*x)+1172))/(x^4+x^3+x^2+x+1)))))+(-(-(-(((1/800)*((((143*x^3)-(103*x^2))+(36*x))-148))/((((x^4-x^3)+x^2)-x)+1)))))+(-(-(-(((1/160)*(x-1))/(x^2+1)))))+(-(-(-(((1/1000)*((41*x^3)-(2*x^2)-(49*x)-30))/(x^4+x^3+x^2+x+1)^2))))+(-(-(-(((1/80)*((2*x^3)-x^2-2))/((((x^4-x^3)+x^2)-x)+1)^2))))+(-(-(-(587/12800/(x+1)))))+(-(-(-(53539/320000/(x-1)))))+(-(-(-(((1/200)*(x^3+(4*x^2)+(4*x)+1))/(x^4+x^3+x^2+x+1)^3))))+(-(-(9/1600/(x+1)^2)))+(-(-(87967/160000/(x-1)^2)))+(-(-(1/3200/(x+1)^3)))+(-(-(203/800/(x-1)^3)))+(-(49/800/(x-1)^4))+(1/2000/(x-1)^6))))))+(1/(x-1)^2)+(1/(x-1)^4))
A257890 = ((2000*(A001305+(-((-(((1/40)*(((9*x^7)+(16*x^6)+(12*x^5)+(8*x^4)+(12*x^3)+(13*x^2)+(4*x))-4))/((((x^8-x^6)+x^4)-x^2)+1)))+(-(-(-(((1/20000)*((3229*x^3)+(3509*x^2)+(1540*x)+1172))/(x^4+x^3+x^2+x+1)))))+(-(-(-(((1/800)*((((143*x^3)-(103*x^2))+(36*x))-148))/((((x^4-x^3)+x^2)-x)+1)))))+(-(-(-(((1/160)*(x-1))/(x^2+1)))))+(-(-(-(((1/1000)*((41*x^3)-(2*x^2)-(49*x)-30))/(x^4+x^3+x^2+x+1)^2))))+(-(-(-(((1/80)*((2*x^3)-x^2-2))/((((x^4-x^3)+x^2)-x)+1)^2))))+(-(-(-(587/12800/(x+1)))))+(-(-(-(53539/320000/(x-1)))))+(-(-(-(((1/200)*(x^3+(4*x^2)+(4*x)+1))/(x^4+x^3+x^2+x+1)^3))))+(-(-(9/1600/(x+1)^2)))+(-(-(87967/160000/(x-1)^2)))+(-(-(1/3200/(x+1)^3)))+(-(-(203/800/(x-1)^3)))+(-(49/800/(x-1)^4))+(-(33/4000/(x-1)^5))))))+(1/(x-1)^2)+(1/(x-1)^4))
A257464 = ((5000*integrate((A001305+(-((-(((1/40)*(((9*x^7)+(16*x^6)+(12*x^5)+(8*x^4)+(12*x^3)+(13*x^2)+(4*x))-4))/((((x^8-x^6)+x^4)-x^2)+1)))+(-(-(-(((1/20000)*((3229*x^3)+(3509*x^2)+(1540*x)+1172))/(x^4+x^3+x^2+x+1)))))+(-(-(-(((1/800)*((((143*x^3)-(103*x^2))+(36*x))-148))/((((x^4-x^3)+x^2)-x)+1)))))+(-(-(-(((1/160)*(x-1))/(x^2+1)))))+(-(-(-(((1/1000)*((41*x^3)-(2*x^2)-(49*x)-30))/(x^4+x^3+x^2+x+1)^2))))+(-(-(-(((1/80)*((2*x^3)-x^2-2))/((((x^4-x^3)+x^2)-x)+1)^2))))+(-(-(-(587/12800/(x+1)))))+(-(-(-(53539/320000/(x-1)))))+(-(-(-(((1/200)*(x^3+(4*x^2)+(4*x)+1))/(x^4+x^3+x^2+x+1)^3))))+(-(-(9/1600/(x+1)^2)))+(-(-(87967/160000/(x-1)^2)))+(-(-(1/3200/(x+1)^3)))+(-(-(203/800/(x-1)^3)))+(-(49/800/(x-1)^4))+(-(33/4000/(x-1)^5)))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(7/24/(x-1)^3))+(-(1/2/(x-1)^4)))
A257201 = (((-(2000/3))*differential((A001305+(-((-(((1/40)*(((9*x^7)+(16*x^6)+(12*x^5)+(8*x^4)+(12*x^3)+(13*x^2)+(4*x))-4))/((((x^8-x^6)+x^4)-x^2)+1)))+(-(-(-(((1/20000)*((3229*x^3)+(3509*x^2)+(1540*x)+1172))/(x^4+x^3+x^2+x+1)))))+(-(-(-(((1/800)*((((143*x^3)-(103*x^2))+(36*x))-148))/((((x^4-x^3)+x^2)-x)+1)))))+(-(-(-(((1/160)*(x-1))/(x^2+1)))))+(-(-(-(((1/1000)*((41*x^3)-(2*x^2)-(49*x)-30))/(x^4+x^3+x^2+x+1)^2))))+(-(-(-(((1/80)*((2*x^3)-x^2-2))/((((x^4-x^3)+x^2)-x)+1)^2))))+(-(-(-(587/12800/(x+1)))))+(-(-(-(53539/320000/(x-1)))))+(-(-(-(((1/200)*(x^3+(4*x^2)+(4*x)+1))/(x^4+x^3+x^2+x+1)^3))))+(-(-(9/1600/(x+1)^2)))+(-(-(87967/160000/(x-1)^2)))+(-(-(1/3200/(x+1)^3)))+(-(-(203/800/(x-1)^3)))+(-(49/800/(x-1)^4))+(-(33/4000/(x-1)^5)))))))+(1/(x-1)^5)+(2/(x-1)^6)+(1/(x-1)^8))
A257850 = (((-(200000/79649))*differential((A001306+(-((-(((1/20)*(((8*x^39)+(8*x^38)+(8*x^37)+(8*x^36)+(8*x^35)+(11*x^34)+(11*x^33)+(11*x^32)+(11*x^31)+(11*x^30)+(6*x^29)+(6*x^28)+(6*x^27)+(6*x^26)+(6*x^25)+(3*x^24)+(3*x^23)+(3*x^22)+(3*x^21)+(3*x^20)+(8*x^19)+(8*x^18)+(8*x^17)+(8*x^16)+(8*x^15)+(8*x^14)+(8*x^13)+(8*x^12)+(8*x^11)+(8*x^10))-(4*x^4)-(4*x^3)-(4*x^2)-(4*x)-4))/((((x^40-x^30)+x^20)-x^10)+1)))+(-(-(-(-(-(-(((1/1000)*((58*x^19)+(58*x^18)+(58*x^17)+(58*x^16)+(58*x^15)+(105*x^14)+(105*x^13)+(105*x^12)+(105*x^11)+(105*x^10)+(71*x^9)+(71*x^8)+(71*x^7)+(71*x^6)+(71*x^5)+(41*x^4)+(41*x^3)+(41*x^2)+(41*x)+41))/(x^20+x^15+x^10+x^5+1))))))))+(-(-(-(-(-(-(((1/200)*(((((30*x^19)+(30*x^18)+(30*x^17)+(30*x^16)+(30*x^15))-(35*x^14)-(35*x^13)-(35*x^12)-(35*x^11)-(35*x^10))+(9*x^9)+(9*x^8)+(9*x^7)+(9*x^6)+(9*x^5))-(39*x^4)-(39*x^3)-(39*x^2)-(39*x)-39))/((((x^20-x^15)+x^10)-x^5)+1))))))))+(-(-(-(-(-(-(((1/8000)*((((358*x^7)+(447*x^6)+(182*x^5)+(6*x^4)+(180*x^3)+(16*x^2))-(69*x))+12))/((((x^8-x^6)+x^4)-x^2)+1))))))))+(-(-(-(-(-(-(((1/80000000)*((26597366*x^3)+(39867053*x^2)+(41028461*x)+31244150))/(x^4+x^3+x^2+x+1))))))))+(-(-(-(-(-(-(((1/16000000)*((1125154*x^3)+(622627*x^2)+(531293*x)+1188446))/((((x^4-x^3)+x^2)-x)+1))))))))+(-(-(-(-(-(-(((1/8000)*((92*x)+3))/(x^2+1))))))))+(-(-(-(-(-(-(((1/200)*(((3*x^19)+(3*x^18)+(3*x^17)+(3*x^16)+(3*x^15)+(3*x^14)+(3*x^13)+(3*x^12)+(3*x^11)+(3*x^10))-x^4-x^3-x^2-x-1))/(x^20+x^15+x^10+x^5+1)^2)))))))+(-(-(-(-(-(-(((1/40)*((x^19+x^18+x^17+x^16+x^15)-x^14-x^13-x^12-x^11-x^10-x^4-x^3-x^2-x-1))/((((x^20-x^15)+x^10)-x^5)+1)^2)))))))+(-(-(-(-(-(-(((1/800)*(((x^7+x^6+(2*x^5)+(3*x^4)+x^3)-(2*x^2))+1))/((((x^8-x^6)+x^4)-x^2)+1)^2)))))))+(-(-(-(-(-(-(((1/10000000)*((1452660*x^3)+(1520478*x^2)+(896319*x)+239303))/(x^4+x^3+x^2+x+1)^2)))))))+(-(-(-(-(-(-(((1/1600000)*((((720*x^3)-(27330*x^2))+(14383*x))-27680))/((((x^4-x^3)+x^2)-x)+1)^2)))))))+(-(-(-(-(-(5739029/20000000/(x-1)))))))+(-(-(-(-(((1/4000)*x)/(x^2+1)^2)))))+(-(-(-(-(((1/2000000)*(((35137*x^3)+(4550*x^2))-(27761*x)-29801))/(x^4+x^3+x^2+x+1)^3)))))+(-(-(-(-(((1/160000)*((((177*x^3)-(350*x^2))+(181*x))-181))/((((x^4-x^3)+x^2)-x)+1)^3)))))+(-(-(-(2913/3200000/(x+1)^2))))+(-(-(-(13327679/80000000/(x-1)^2))))+(-(-(-(((1/100000)*((36*x^3)+(291*x^2)+(340*x)+178))/(x^4+x^3+x^2+x+1)^4))))+(-(-(-(((1/16000)*(x^3-x^2))/((((x^4-x^3)+x^2)-x)+1)^4))))+(-(-(91/4000000/(x+1)^3)))+(-(-(6097/400000/(x-1)^3)))+(-(-(((1/40000)*((4*x^3)+(7*x^2)+(4*x)))/(x^4+x^3+x^2+x+1)^5)))+(-(1/4000000/(x+1)^4))+(-(1421/2000000/(x-1)^4))+(-(9/500000/(x-1)^5))+(1/5000000/(x-1)^6))))))+(((1/5)*((15*x^3)+(4*x^2)+(8*x)+9))/((((x^4-x^3)+x^2)-x)+1))+(-(-(((1/5)*((11*x^3)+(16*x^2)+(15*x)+8))/(x^4+x^3+x^2+x+1))))+(-(-(((1/2)*((2*x^3)+(2*x^2)+x))/(x^4+x^3+x^2+x+1)^2)))+(-(-(((1/2)*(((2*x^2)-x)+2))/((((x^4-x^3)+x^2)-x)+1)^2)))+(-(1/2/(x+1)))+(-(33/10/(x-1)))+(9/20/(x-1)^2))
A257890 = (((20000000/5739029)*differential((A001306+(-((-(((1/20)*(((8*x^39)+(8*x^38)+(8*x^37)+(8*x^36)+(8*x^35)+(11*x^34)+(11*x^33)+(11*x^32)+(11*x^31)+(11*x^30)+(6*x^29)+(6*x^28)+(6*x^27)+(6*x^26)+(6*x^25)+(3*x^24)+(3*x^23)+(3*x^22)+(3*x^21)+(3*x^20)+(8*x^19)+(8*x^18)+(8*x^17)+(8*x^16)+(8*x^15)+(8*x^14)+(8*x^13)+(8*x^12)+(8*x^11)+(8*x^10))-(4*x^4)-(4*x^3)-(4*x^2)-(4*x)-4))/((((x^40-x^30)+x^20)-x^10)+1)))+(-(-(-(-(-(-(((1/1000)*((58*x^19)+(58*x^18)+(58*x^17)+(58*x^16)+(58*x^15)+(105*x^14)+(105*x^13)+(105*x^12)+(105*x^11)+(105*x^10)+(71*x^9)+(71*x^8)+(71*x^7)+(71*x^6)+(71*x^5)+(41*x^4)+(41*x^3)+(41*x^2)+(41*x)+41))/(x^20+x^15+x^10+x^5+1))))))))+(-(-(-(-(-(-(((1/200)*(((((30*x^19)+(30*x^18)+(30*x^17)+(30*x^16)+(30*x^15))-(35*x^14)-(35*x^13)-(35*x^12)-(35*x^11)-(35*x^10))+(9*x^9)+(9*x^8)+(9*x^7)+(9*x^6)+(9*x^5))-(39*x^4)-(39*x^3)-(39*x^2)-(39*x)-39))/((((x^20-x^15)+x^10)-x^5)+1))))))))+(-(-(-(-(-(-(((1/8000)*((((358*x^7)+(447*x^6)+(182*x^5)+(6*x^4)+(180*x^3)+(16*x^2))-(69*x))+12))/((((x^8-x^6)+x^4)-x^2)+1))))))))+(-(-(-(-(-(-(((1/80000000)*((26597366*x^3)+(39867053*x^2)+(41028461*x)+31244150))/(x^4+x^3+x^2+x+1))))))))+(-(-(-(-(-(-(((1/16000000)*((1125154*x^3)+(622627*x^2)+(531293*x)+1188446))/((((x^4-x^3)+x^2)-x)+1))))))))+(-(-(-(-(-(-(((1/8000)*((92*x)+3))/(x^2+1))))))))+(-(-(-(-(-(-(((1/200)*(((3*x^19)+(3*x^18)+(3*x^17)+(3*x^16)+(3*x^15)+(3*x^14)+(3*x^13)+(3*x^12)+(3*x^11)+(3*x^10))-x^4-x^3-x^2-x-1))/(x^20+x^15+x^10+x^5+1)^2)))))))+(-(-(-(-(-(-(((1/40)*((x^19+x^18+x^17+x^16+x^15)-x^14-x^13-x^12-x^11-x^10-x^4-x^3-x^2-x-1))/((((x^20-x^15)+x^10)-x^5)+1)^2)))))))+(-(-(-(-(-(-(((1/800)*(((x^7+x^6+(2*x^5)+(3*x^4)+x^3)-(2*x^2))+1))/((((x^8-x^6)+x^4)-x^2)+1)^2)))))))+(-(-(-(-(-(-(((1/10000000)*((1452660*x^3)+(1520478*x^2)+(896319*x)+239303))/(x^4+x^3+x^2+x+1)^2)))))))+(-(-(-(-(-(-(((1/1600000)*((((720*x^3)-(27330*x^2))+(14383*x))-27680))/((((x^4-x^3)+x^2)-x)+1)^2)))))))+(-(-(-(-(-(79649/4000000/(x+1)))))))+(-(-(-(-(((1/4000)*x)/(x^2+1)^2)))))+(-(-(-(-(((1/2000000)*(((35137*x^3)+(4550*x^2))-(27761*x)-29801))/(x^4+x^3+x^2+x+1)^3)))))+(-(-(-(-(((1/160000)*((((177*x^3)-(350*x^2))+(181*x))-181))/((((x^4-x^3)+x^2)-x)+1)^3)))))+(-(-(-(2913/3200000/(x+1)^2))))+(-(-(-(13327679/80000000/(x-1)^2))))+(-(-(-(((1/100000)*((36*x^3)+(291*x^2)+(340*x)+178))/(x^4+x^3+x^2+x+1)^4))))+(-(-(-(((1/16000)*(x^3-x^2))/((((x^4-x^3)+x^2)-x)+1)^4))))+(-(-(91/4000000/(x+1)^3)))+(-(-(6097/400000/(x-1)^3)))+(-(-(((1/40000)*((4*x^3)+(7*x^2)+(4*x)))/(x^4+x^3+x^2+x+1)^5)))+(-(1/4000000/(x+1)^4))+(-(1421/2000000/(x-1)^4))+(-(9/500000/(x-1)^5))+(1/5000000/(x-1)^6))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257196 = (((-(8000*x))*integrate((A001306+(-((-(((1/20)*(((8*x^39)+(8*x^38)+(8*x^37)+(8*x^36)+(8*x^35)+(11*x^34)+(11*x^33)+(11*x^32)+(11*x^31)+(11*x^30)+(6*x^29)+(6*x^28)+(6*x^27)+(6*x^26)+(6*x^25)+(3*x^24)+(3*x^23)+(3*x^22)+(3*x^21)+(3*x^20)+(8*x^19)+(8*x^18)+(8*x^17)+(8*x^16)+(8*x^15)+(8*x^14)+(8*x^13)+(8*x^12)+(8*x^11)+(8*x^10))-(4*x^4)-(4*x^3)-(4*x^2)-(4*x)-4))/((((x^40-x^30)+x^20)-x^10)+1)))+(-(-(-(-(-(-(((1/1000)*((58*x^19)+(58*x^18)+(58*x^17)+(58*x^16)+(58*x^15)+(105*x^14)+(105*x^13)+(105*x^12)+(105*x^11)+(105*x^10)+(71*x^9)+(71*x^8)+(71*x^7)+(71*x^6)+(71*x^5)+(41*x^4)+(41*x^3)+(41*x^2)+(41*x)+41))/(x^20+x^15+x^10+x^5+1))))))))+(-(-(-(-(-(-(((1/200)*(((((30*x^19)+(30*x^18)+(30*x^17)+(30*x^16)+(30*x^15))-(35*x^14)-(35*x^13)-(35*x^12)-(35*x^11)-(35*x^10))+(9*x^9)+(9*x^8)+(9*x^7)+(9*x^6)+(9*x^5))-(39*x^4)-(39*x^3)-(39*x^2)-(39*x)-39))/((((x^20-x^15)+x^10)-x^5)+1))))))))+(-(-(-(-(-(-(((1/8000)*((((358*x^7)+(447*x^6)+(182*x^5)+(6*x^4)+(180*x^3)+(16*x^2))-(69*x))+12))/((((x^8-x^6)+x^4)-x^2)+1))))))))+(-(-(-(-(-(-(((1/80000000)*((26597366*x^3)+(39867053*x^2)+(41028461*x)+31244150))/(x^4+x^3+x^2+x+1))))))))+(-(-(-(-(-(-(((1/16000000)*((1125154*x^3)+(622627*x^2)+(531293*x)+1188446))/((((x^4-x^3)+x^2)-x)+1))))))))+(-(-(-(-(-(-(((1/8000)*((92*x)+3))/(x^2+1))))))))+(-(-(-(-(-(-(((1/200)*(((3*x^19)+(3*x^18)+(3*x^17)+(3*x^16)+(3*x^15)+(3*x^14)+(3*x^13)+(3*x^12)+(3*x^11)+(3*x^10))-x^4-x^3-x^2-x-1))/(x^20+x^15+x^10+x^5+1)^2)))))))+(-(-(-(-(-(-(((1/40)*((x^19+x^18+x^17+x^16+x^15)-x^14-x^13-x^12-x^11-x^10-x^4-x^3-x^2-x-1))/((((x^20-x^15)+x^10)-x^5)+1)^2)))))))+(-(-(-(-(-(-(((1/800)*(((x^7+x^6+(2*x^5)+(3*x^4)+x^3)-(2*x^2))+1))/((((x^8-x^6)+x^4)-x^2)+1)^2)))))))+(-(-(-(-(-(-(((1/10000000)*((1452660*x^3)+(1520478*x^2)+(896319*x)+239303))/(x^4+x^3+x^2+x+1)^2)))))))+(-(-(-(-(-(-(((1/1600000)*((((720*x^3)-(27330*x^2))+(14383*x))-27680))/((((x^4-x^3)+x^2)-x)+1)^2)))))))+(-(-(-(-(-(79649/4000000/(x+1)))))))+(-(-(-(-(-(5739029/20000000/(x-1)))))))+(-(-(-(-(((1/2000000)*(((35137*x^3)+(4550*x^2))-(27761*x)-29801))/(x^4+x^3+x^2+x+1)^3)))))+(-(-(-(-(((1/160000)*((((177*x^3)-(350*x^2))+(181*x))-181))/((((x^4-x^3)+x^2)-x)+1)^3)))))+(-(-(-(2913/3200000/(x+1)^2))))+(-(-(-(13327679/80000000/(x-1)^2))))+(-(-(-(((1/100000)*((36*x^3)+(291*x^2)+(340*x)+178))/(x^4+x^3+x^2+x+1)^4))))+(-(-(-(((1/16000)*(x^3-x^2))/((((x^4-x^3)+x^2)-x)+1)^4))))+(-(-(91/4000000/(x+1)^3)))+(-(-(6097/400000/(x-1)^3)))+(-(-(((1/40000)*((4*x^3)+(7*x^2)+(4*x)))/(x^4+x^3+x^2+x+1)^5)))+(-(1/4000000/(x+1)^4))+(-(1421/2000000/(x-1)^4))+(-(9/500000/(x-1)^5))+(1/5000000/(x-1)^6))))))+(-(x^2/(x^4+1)))+1)
A257850 = (((160000/2913)*(A001306+(-((-(((1/20)*(((8*x^39)+(8*x^38)+(8*x^37)+(8*x^36)+(8*x^35)+(11*x^34)+(11*x^33)+(11*x^32)+(11*x^31)+(11*x^30)+(6*x^29)+(6*x^28)+(6*x^27)+(6*x^26)+(6*x^25)+(3*x^24)+(3*x^23)+(3*x^22)+(3*x^21)+(3*x^20)+(8*x^19)+(8*x^18)+(8*x^17)+(8*x^16)+(8*x^15)+(8*x^14)+(8*x^13)+(8*x^12)+(8*x^11)+(8*x^10))-(4*x^4)-(4*x^3)-(4*x^2)-(4*x)-4))/((((x^40-x^30)+x^20)-x^10)+1)))+(-(-(-(-(-(-(((1/1000)*((58*x^19)+(58*x^18)+(58*x^17)+(58*x^16)+(58*x^15)+(105*x^14)+(105*x^13)+(105*x^12)+(105*x^11)+(105*x^10)+(71*x^9)+(71*x^8)+(71*x^7)+(71*x^6)+(71*x^5)+(41*x^4)+(41*x^3)+(41*x^2)+(41*x)+41))/(x^20+x^15+x^10+x^5+1))))))))+(-(-(-(-(-(-(((1/200)*(((((30*x^19)+(30*x^18)+(30*x^17)+(30*x^16)+(30*x^15))-(35*x^14)-(35*x^13)-(35*x^12)-(35*x^11)-(35*x^10))+(9*x^9)+(9*x^8)+(9*x^7)+(9*x^6)+(9*x^5))-(39*x^4)-(39*x^3)-(39*x^2)-(39*x)-39))/((((x^20-x^15)+x^10)-x^5)+1))))))))+(-(-(-(-(-(-(((1/8000)*((((358*x^7)+(447*x^6)+(182*x^5)+(6*x^4)+(180*x^3)+(16*x^2))-(69*x))+12))/((((x^8-x^6)+x^4)-x^2)+1))))))))+(-(-(-(-(-(-(((1/80000000)*((26597366*x^3)+(39867053*x^2)+(41028461*x)+31244150))/(x^4+x^3+x^2+x+1))))))))+(-(-(-(-(-(-(((1/16000000)*((1125154*x^3)+(622627*x^2)+(531293*x)+1188446))/((((x^4-x^3)+x^2)-x)+1))))))))+(-(-(-(-(-(-(((1/8000)*((92*x)+3))/(x^2+1))))))))+(-(-(-(-(-(-(((1/200)*(((3*x^19)+(3*x^18)+(3*x^17)+(3*x^16)+(3*x^15)+(3*x^14)+(3*x^13)+(3*x^12)+(3*x^11)+(3*x^10))-x^4-x^3-x^2-x-1))/(x^20+x^15+x^10+x^5+1)^2)))))))+(-(-(-(-(-(-(((1/40)*((x^19+x^18+x^17+x^16+x^15)-x^14-x^13-x^12-x^11-x^10-x^4-x^3-x^2-x-1))/((((x^20-x^15)+x^10)-x^5)+1)^2)))))))+(-(-(-(-(-(-(((1/800)*(((x^7+x^6+(2*x^5)+(3*x^4)+x^3)-(2*x^2))+1))/((((x^8-x^6)+x^4)-x^2)+1)^2)))))))+(-(-(-(-(-(-(((1/10000000)*((1452660*x^3)+(1520478*x^2)+(896319*x)+239303))/(x^4+x^3+x^2+x+1)^2)))))))+(-(-(-(-(-(-(((1/1600000)*((((720*x^3)-(27330*x^2))+(14383*x))-27680))/((((x^4-x^3)+x^2)-x)+1)^2)))))))+(-(-(-(-(-(79649/4000000/(x+1)))))))+(-(-(-(-(-(5739029/20000000/(x-1)))))))+(-(-(-(-(((1/4000)*x)/(x^2+1)^2)))))+(-(-(-(-(((1/2000000)*(((35137*x^3)+(4550*x^2))-(27761*x)-29801))/(x^4+x^3+x^2+x+1)^3)))))+(-(-(-(-(((1/160000)*((((177*x^3)-(350*x^2))+(181*x))-181))/((((x^4-x^3)+x^2)-x)+1)^3)))))+(-(-(-(13327679/80000000/(x-1)^2))))+(-(-(-(((1/100000)*((36*x^3)+(291*x^2)+(340*x)+178))/(x^4+x^3+x^2+x+1)^4))))+(-(-(-(((1/16000)*(x^3-x^2))/((((x^4-x^3)+x^2)-x)+1)^4))))+(-(-(91/4000000/(x+1)^3)))+(-(-(6097/400000/(x-1)^3)))+(-(-(((1/40000)*((4*x^3)+(7*x^2)+(4*x)))/(x^4+x^3+x^2+x+1)^5)))+(-(1/4000000/(x+1)^4))+(-(1421/2000000/(x-1)^4))+(-(9/500000/(x-1)^5))+(1/5000000/(x-1)^6)))))+(((1/5)*((15*x^3)+(4*x^2)+(8*x)+9))/((((x^4-x^3)+x^2)-x)+1))+(-(-(((1/5)*((11*x^3)+(16*x^2)+(15*x)+8))/(x^4+x^3+x^2+x+1))))+(-(-(((1/2)*((2*x^3)+(2*x^2)+x))/(x^4+x^3+x^2+x+1)^2)))+(-(-(((1/2)*(((2*x^2)-x)+2))/((((x^4-x^3)+x^2)-x)+1)^2)))+(-(1/2/(x+1)))+(-(33/10/(x-1)))+(9/20/(x-1)^2))
A257171 = (((-(200000/2913))*differential((A001306+(-((-(((1/20)*(((8*x^39)+(8*x^38)+(8*x^37)+(8*x^36)+(8*x^35)+(11*x^34)+(11*x^33)+(11*x^32)+(11*x^31)+(11*x^30)+(6*x^29)+(6*x^28)+(6*x^27)+(6*x^26)+(6*x^25)+(3*x^24)+(3*x^23)+(3*x^22)+(3*x^21)+(3*x^20)+(8*x^19)+(8*x^18)+(8*x^17)+(8*x^16)+(8*x^15)+(8*x^14)+(8*x^13)+(8*x^12)+(8*x^11)+(8*x^10))-(4*x^4)-(4*x^3)-(4*x^2)-(4*x)-4))/((((x^40-x^30)+x^20)-x^10)+1)))+(-(-(-(-(-(-(((1/1000)*((58*x^19)+(58*x^18)+(58*x^17)+(58*x^16)+(58*x^15)+(105*x^14)+(105*x^13)+(105*x^12)+(105*x^11)+(105*x^10)+(71*x^9)+(71*x^8)+(71*x^7)+(71*x^6)+(71*x^5)+(41*x^4)+(41*x^3)+(41*x^2)+(41*x)+41))/(x^20+x^15+x^10+x^5+1))))))))+(-(-(-(-(-(-(((1/200)*(((((30*x^19)+(30*x^18)+(30*x^17)+(30*x^16)+(30*x^15))-(35*x^14)-(35*x^13)-(35*x^12)-(35*x^11)-(35*x^10))+(9*x^9)+(9*x^8)+(9*x^7)+(9*x^6)+(9*x^5))-(39*x^4)-(39*x^3)-(39*x^2)-(39*x)-39))/((((x^20-x^15)+x^10)-x^5)+1))))))))+(-(-(-(-(-(-(((1/8000)*((((358*x^7)+(447*x^6)+(182*x^5)+(6*x^4)+(180*x^3)+(16*x^2))-(69*x))+12))/((((x^8-x^6)+x^4)-x^2)+1))))))))+(-(-(-(-(-(-(((1/80000000)*((26597366*x^3)+(39867053*x^2)+(41028461*x)+31244150))/(x^4+x^3+x^2+x+1))))))))+(-(-(-(-(-(-(((1/16000000)*((1125154*x^3)+(622627*x^2)+(531293*x)+1188446))/((((x^4-x^3)+x^2)-x)+1))))))))+(-(-(-(-(-(-(((1/8000)*((92*x)+3))/(x^2+1))))))))+(-(-(-(-(-(-(((1/200)*(((3*x^19)+(3*x^18)+(3*x^17)+(3*x^16)+(3*x^15)+(3*x^14)+(3*x^13)+(3*x^12)+(3*x^11)+(3*x^10))-x^4-x^3-x^2-x-1))/(x^20+x^15+x^10+x^5+1)^2)))))))+(-(-(-(-(-(-(((1/40)*((x^19+x^18+x^17+x^16+x^15)-x^14-x^13-x^12-x^11-x^10-x^4-x^3-x^2-x-1))/((((x^20-x^15)+x^10)-x^5)+1)^2)))))))+(-(-(-(-(-(-(((1/800)*(((x^7+x^6+(2*x^5)+(3*x^4)+x^3)-(2*x^2))+1))/((((x^8-x^6)+x^4)-x^2)+1)^2)))))))+(-(-(-(-(-(-(((1/10000000)*((1452660*x^3)+(1520478*x^2)+(896319*x)+239303))/(x^4+x^3+x^2+x+1)^2)))))))+(-(-(-(-(-(-(((1/1600000)*((((720*x^3)-(27330*x^2))+(14383*x))-27680))/((((x^4-x^3)+x^2)-x)+1)^2)))))))+(-(-(-(-(-(79649/4000000/(x+1)))))))+(-(-(-(-(-(5739029/20000000/(x-1)))))))+(-(-(-(-(((1/4000)*x)/(x^2+1)^2)))))+(-(-(-(-(((1/2000000)*(((35137*x^3)+(4550*x^2))-(27761*x)-29801))/(x^4+x^3+x^2+x+1)^3)))))+(-(-(-(-(((1/160000)*((((177*x^3)-(350*x^2))+(181*x))-181))/((((x^4-x^3)+x^2)-x)+1)^3)))))+(-(-(-(13327679/80000000/(x-1)^2))))+(-(-(-(((1/100000)*((36*x^3)+(291*x^2)+(340*x)+178))/(x^4+x^3+x^2+x+1)^4))))+(-(-(-(((1/16000)*(x^3-x^2))/((((x^4-x^3)+x^2)-x)+1)^4))))+(-(-(91/4000000/(x+1)^3)))+(-(-(6097/400000/(x-1)^3)))+(-(-(((1/40000)*((4*x^3)+(7*x^2)+(4*x)))/(x^4+x^3+x^2+x+1)^5)))+(-(1/4000000/(x+1)^4))+(-(1421/2000000/(x-1)^4))+(-(9/500000/(x-1)^5))+(1/5000000/(x-1)^6))))))+(2*x)+(-(-(3/8/(x+1))))+(-(-(3/8/(x-1))))+(-(3/4/(x-1)^2))+(-(3/8/(x-1)^3))+(-(3/4/(x-1)^4))+(-1))
A257890 = (((-(80000000/13327679))*(A001306+(-((-(((1/20)*(((8*x^39)+(8*x^38)+(8*x^37)+(8*x^36)+(8*x^35)+(11*x^34)+(11*x^33)+(11*x^32)+(11*x^31)+(11*x^30)+(6*x^29)+(6*x^28)+(6*x^27)+(6*x^26)+(6*x^25)+(3*x^24)+(3*x^23)+(3*x^22)+(3*x^21)+(3*x^20)+(8*x^19)+(8*x^18)+(8*x^17)+(8*x^16)+(8*x^15)+(8*x^14)+(8*x^13)+(8*x^12)+(8*x^11)+(8*x^10))-(4*x^4)-(4*x^3)-(4*x^2)-(4*x)-4))/((((x^40-x^30)+x^20)-x^10)+1)))+(-(-(-(-(-(-(((1/1000)*((58*x^19)+(58*x^18)+(58*x^17)+(58*x^16)+(58*x^15)+(105*x^14)+(105*x^13)+(105*x^12)+(105*x^11)+(105*x^10)+(71*x^9)+(71*x^8)+(71*x^7)+(71*x^6)+(71*x^5)+(41*x^4)+(41*x^3)+(41*x^2)+(41*x)+41))/(x^20+x^15+x^10+x^5+1))))))))+(-(-(-(-(-(-(((1/200)*(((((30*x^19)+(30*x^18)+(30*x^17)+(30*x^16)+(30*x^15))-(35*x^14)-(35*x^13)-(35*x^12)-(35*x^11)-(35*x^10))+(9*x^9)+(9*x^8)+(9*x^7)+(9*x^6)+(9*x^5))-(39*x^4)-(39*x^3)-(39*x^2)-(39*x)-39))/((((x^20-x^15)+x^10)-x^5)+1))))))))+(-(-(-(-(-(-(((1/8000)*((((358*x^7)+(447*x^6)+(182*x^5)+(6*x^4)+(180*x^3)+(16*x^2))-(69*x))+12))/((((x^8-x^6)+x^4)-x^2)+1))))))))+(-(-(-(-(-(-(((1/80000000)*((26597366*x^3)+(39867053*x^2)+(41028461*x)+31244150))/(x^4+x^3+x^2+x+1))))))))+(-(-(-(-(-(-(((1/16000000)*((1125154*x^3)+(622627*x^2)+(531293*x)+1188446))/((((x^4-x^3)+x^2)-x)+1))))))))+(-(-(-(-(-(-(((1/8000)*((92*x)+3))/(x^2+1))))))))+(-(-(-(-(-(-(((1/200)*(((3*x^19)+(3*x^18)+(3*x^17)+(3*x^16)+(3*x^15)+(3*x^14)+(3*x^13)+(3*x^12)+(3*x^11)+(3*x^10))-x^4-x^3-x^2-x-1))/(x^20+x^15+x^10+x^5+1)^2)))))))+(-(-(-(-(-(-(((1/40)*((x^19+x^18+x^17+x^16+x^15)-x^14-x^13-x^12-x^11-x^10-x^4-x^3-x^2-x-1))/((((x^20-x^15)+x^10)-x^5)+1)^2)))))))+(-(-(-(-(-(-(((1/800)*(((x^7+x^6+(2*x^5)+(3*x^4)+x^3)-(2*x^2))+1))/((((x^8-x^6)+x^4)-x^2)+1)^2)))))))+(-(-(-(-(-(-(((1/10000000)*((1452660*x^3)+(1520478*x^2)+(896319*x)+239303))/(x^4+x^3+x^2+x+1)^2)))))))+(-(-(-(-(-(-(((1/1600000)*((((720*x^3)-(27330*x^2))+(14383*x))-27680))/((((x^4-x^3)+x^2)-x)+1)^2)))))))+(-(-(-(-(-(79649/4000000/(x+1)))))))+(-(-(-(-(-(5739029/20000000/(x-1)))))))+(-(-(-(-(((1/4000)*x)/(x^2+1)^2)))))+(-(-(-(-(((1/2000000)*(((35137*x^3)+(4550*x^2))-(27761*x)-29801))/(x^4+x^3+x^2+x+1)^3)))))+(-(-(-(-(((1/160000)*((((177*x^3)-(350*x^2))+(181*x))-181))/((((x^4-x^3)+x^2)-x)+1)^3)))))+(-(-(-(2913/3200000/(x+1)^2))))+(-(-(-(((1/100000)*((36*x^3)+(291*x^2)+(340*x)+178))/(x^4+x^3+x^2+x+1)^4))))+(-(-(-(((1/16000)*(x^3-x^2))/((((x^4-x^3)+x^2)-x)+1)^4))))+(-(-(91/4000000/(x+1)^3)))+(-(-(6097/400000/(x-1)^3)))+(-(-(((1/40000)*((4*x^3)+(7*x^2)+(4*x)))/(x^4+x^3+x^2+x+1)^5)))+(-(1/4000000/(x+1)^4))+(-(1421/2000000/(x-1)^4))+(-(9/500000/(x-1)^5))+(1/5000000/(x-1)^6)))))+(1/(x-1)^4)+(1/(x-1)^6))
A257464 = (((-(35000000/39983037))*differential((A001306+(-((-(((1/20)*(((8*x^39)+(8*x^38)+(8*x^37)+(8*x^36)+(8*x^35)+(11*x^34)+(11*x^33)+(11*x^32)+(11*x^31)+(11*x^30)+(6*x^29)+(6*x^28)+(6*x^27)+(6*x^26)+(6*x^25)+(3*x^24)+(3*x^23)+(3*x^22)+(3*x^21)+(3*x^20)+(8*x^19)+(8*x^18)+(8*x^17)+(8*x^16)+(8*x^15)+(8*x^14)+(8*x^13)+(8*x^12)+(8*x^11)+(8*x^10))-(4*x^4)-(4*x^3)-(4*x^2)-(4*x)-4))/((((x^40-x^30)+x^20)-x^10)+1)))+(-(-(-(-(-(-(((1/1000)*((58*x^19)+(58*x^18)+(58*x^17)+(58*x^16)+(58*x^15)+(105*x^14)+(105*x^13)+(105*x^12)+(105*x^11)+(105*x^10)+(71*x^9)+(71*x^8)+(71*x^7)+(71*x^6)+(71*x^5)+(41*x^4)+(41*x^3)+(41*x^2)+(41*x)+41))/(x^20+x^15+x^10+x^5+1))))))))+(-(-(-(-(-(-(((1/200)*(((((30*x^19)+(30*x^18)+(30*x^17)+(30*x^16)+(30*x^15))-(35*x^14)-(35*x^13)-(35*x^12)-(35*x^11)-(35*x^10))+(9*x^9)+(9*x^8)+(9*x^7)+(9*x^6)+(9*x^5))-(39*x^4)-(39*x^3)-(39*x^2)-(39*x)-39))/((((x^20-x^15)+x^10)-x^5)+1))))))))+(-(-(-(-(-(-(((1/8000)*((((358*x^7)+(447*x^6)+(182*x^5)+(6*x^4)+(180*x^3)+(16*x^2))-(69*x))+12))/((((x^8-x^6)+x^4)-x^2)+1))))))))+(-(-(-(-(-(-(((1/80000000)*((26597366*x^3)+(39867053*x^2)+(41028461*x)+31244150))/(x^4+x^3+x^2+x+1))))))))+(-(-(-(-(-(-(((1/16000000)*((1125154*x^3)+(622627*x^2)+(531293*x)+1188446))/((((x^4-x^3)+x^2)-x)+1))))))))+(-(-(-(-(-(-(((1/8000)*((92*x)+3))/(x^2+1))))))))+(-(-(-(-(-(-(((1/200)*(((3*x^19)+(3*x^18)+(3*x^17)+(3*x^16)+(3*x^15)+(3*x^14)+(3*x^13)+(3*x^12)+(3*x^11)+(3*x^10))-x^4-x^3-x^2-x-1))/(x^20+x^15+x^10+x^5+1)^2)))))))+(-(-(-(-(-(-(((1/40)*((x^19+x^18+x^17+x^16+x^15)-x^14-x^13-x^12-x^11-x^10-x^4-x^3-x^2-x-1))/((((x^20-x^15)+x^10)-x^5)+1)^2)))))))+(-(-(-(-(-(-(((1/800)*(((x^7+x^6+(2*x^5)+(3*x^4)+x^3)-(2*x^2))+1))/((((x^8-x^6)+x^4)-x^2)+1)^2)))))))+(-(-(-(-(-(-(((1/10000000)*((1452660*x^3)+(1520478*x^2)+(896319*x)+239303))/(x^4+x^3+x^2+x+1)^2)))))))+(-(-(-(-(-(-(((1/1600000)*((((720*x^3)-(27330*x^2))+(14383*x))-27680))/((((x^4-x^3)+x^2)-x)+1)^2)))))))+(-(-(-(-(-(79649/4000000/(x+1)))))))+(-(-(-(-(-(5739029/20000000/(x-1)))))))+(-(-(-(-(((1/4000)*x)/(x^2+1)^2)))))+(-(-(-(-(((1/2000000)*(((35137*x^3)+(4550*x^2))-(27761*x)-29801))/(x^4+x^3+x^2+x+1)^3)))))+(-(-(-(-(((1/160000)*((((177*x^3)-(350*x^2))+(181*x))-181))/((((x^4-x^3)+x^2)-x)+1)^3)))))+(-(-(-(2913/3200000/(x+1)^2))))+(-(-(-(((1/100000)*((36*x^3)+(291*x^2)+(340*x)+178))/(x^4+x^3+x^2+x+1)^4))))+(-(-(-(((1/16000)*(x^3-x^2))/((((x^4-x^3)+x^2)-x)+1)^4))))+(-(-(91/4000000/(x+1)^3)))+(-(-(6097/400000/(x-1)^3)))+(-(-(((1/40000)*((4*x^3)+(7*x^2)+(4*x)))/(x^4+x^3+x^2+x+1)^5)))+(-(1/4000000/(x+1)^4))+(-(1421/2000000/(x-1)^4))+(-(9/500000/(x-1)^5))+(1/5000000/(x-1)^6))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257171 = (((-(500000/91))*(A001306+(-((-(((1/20)*(((8*x^39)+(8*x^38)+(8*x^37)+(8*x^36)+(8*x^35)+(11*x^34)+(11*x^33)+(11*x^32)+(11*x^31)+(11*x^30)+(6*x^29)+(6*x^28)+(6*x^27)+(6*x^26)+(6*x^25)+(3*x^24)+(3*x^23)+(3*x^22)+(3*x^21)+(3*x^20)+(8*x^19)+(8*x^18)+(8*x^17)+(8*x^16)+(8*x^15)+(8*x^14)+(8*x^13)+(8*x^12)+(8*x^11)+(8*x^10))-(4*x^4)-(4*x^3)-(4*x^2)-(4*x)-4))/((((x^40-x^30)+x^20)-x^10)+1)))+(-(-(-(-(-(-(((1/1000)*((58*x^19)+(58*x^18)+(58*x^17)+(58*x^16)+(58*x^15)+(105*x^14)+(105*x^13)+(105*x^12)+(105*x^11)+(105*x^10)+(71*x^9)+(71*x^8)+(71*x^7)+(71*x^6)+(71*x^5)+(41*x^4)+(41*x^3)+(41*x^2)+(41*x)+41))/(x^20+x^15+x^10+x^5+1))))))))+(-(-(-(-(-(-(((1/200)*(((((30*x^19)+(30*x^18)+(30*x^17)+(30*x^16)+(30*x^15))-(35*x^14)-(35*x^13)-(35*x^12)-(35*x^11)-(35*x^10))+(9*x^9)+(9*x^8)+(9*x^7)+(9*x^6)+(9*x^5))-(39*x^4)-(39*x^3)-(39*x^2)-(39*x)-39))/((((x^20-x^15)+x^10)-x^5)+1))))))))+(-(-(-(-(-(-(((1/8000)*((((358*x^7)+(447*x^6)+(182*x^5)+(6*x^4)+(180*x^3)+(16*x^2))-(69*x))+12))/((((x^8-x^6)+x^4)-x^2)+1))))))))+(-(-(-(-(-(-(((1/80000000)*((26597366*x^3)+(39867053*x^2)+(41028461*x)+31244150))/(x^4+x^3+x^2+x+1))))))))+(-(-(-(-(-(-(((1/16000000)*((1125154*x^3)+(622627*x^2)+(531293*x)+1188446))/((((x^4-x^3)+x^2)-x)+1))))))))+(-(-(-(-(-(-(((1/8000)*((92*x)+3))/(x^2+1))))))))+(-(-(-(-(-(-(((1/200)*(((3*x^19)+(3*x^18)+(3*x^17)+(3*x^16)+(3*x^15)+(3*x^14)+(3*x^13)+(3*x^12)+(3*x^11)+(3*x^10))-x^4-x^3-x^2-x-1))/(x^20+x^15+x^10+x^5+1)^2)))))))+(-(-(-(-(-(-(((1/40)*((x^19+x^18+x^17+x^16+x^15)-x^14-x^13-x^12-x^11-x^10-x^4-x^3-x^2-x-1))/((((x^20-x^15)+x^10)-x^5)+1)^2)))))))+(-(-(-(-(-(-(((1/800)*(((x^7+x^6+(2*x^5)+(3*x^4)+x^3)-(2*x^2))+1))/((((x^8-x^6)+x^4)-x^2)+1)^2)))))))+(-(-(-(-(-(-(((1/10000000)*((1452660*x^3)+(1520478*x^2)+(896319*x)+239303))/(x^4+x^3+x^2+x+1)^2)))))))+(-(-(-(-(-(-(((1/1600000)*((((720*x^3)-(27330*x^2))+(14383*x))-27680))/((((x^4-x^3)+x^2)-x)+1)^2)))))))+(-(-(-(-(-(79649/4000000/(x+1)))))))+(-(-(-(-(-(5739029/20000000/(x-1)))))))+(-(-(-(-(((1/4000)*x)/(x^2+1)^2)))))+(-(-(-(-(((1/2000000)*(((35137*x^3)+(4550*x^2))-(27761*x)-29801))/(x^4+x^3+x^2+x+1)^3)))))+(-(-(-(-(((1/160000)*((((177*x^3)-(350*x^2))+(181*x))-181))/((((x^4-x^3)+x^2)-x)+1)^3)))))+(-(-(-(2913/3200000/(x+1)^2))))+(-(-(-(13327679/80000000/(x-1)^2))))+(-(-(-(((1/100000)*((36*x^3)+(291*x^2)+(340*x)+178))/(x^4+x^3+x^2+x+1)^4))))+(-(-(-(((1/16000)*(x^3-x^2))/((((x^4-x^3)+x^2)-x)+1)^4))))+(-(-(6097/400000/(x-1)^3)))+(-(-(((1/40000)*((4*x^3)+(7*x^2)+(4*x)))/(x^4+x^3+x^2+x+1)^5)))+(-(1/4000000/(x+1)^4))+(-(1421/2000000/(x-1)^4))+(-(9/500000/(x-1)^5))+(1/5000000/(x-1)^6)))))+(2*x)+(-(-(3/8/(x+1))))+(-(-(3/8/(x-1))))+(-(3/4/(x-1)^2))+(-(3/8/(x-1)^3))+(-(3/4/(x-1)^4))+(-1))
A257850 = (((400000/91)*integrate((A001306+(-((-(((1/20)*(((8*x^39)+(8*x^38)+(8*x^37)+(8*x^36)+(8*x^35)+(11*x^34)+(11*x^33)+(11*x^32)+(11*x^31)+(11*x^30)+(6*x^29)+(6*x^28)+(6*x^27)+(6*x^26)+(6*x^25)+(3*x^24)+(3*x^23)+(3*x^22)+(3*x^21)+(3*x^20)+(8*x^19)+(8*x^18)+(8*x^17)+(8*x^16)+(8*x^15)+(8*x^14)+(8*x^13)+(8*x^12)+(8*x^11)+(8*x^10))-(4*x^4)-(4*x^3)-(4*x^2)-(4*x)-4))/((((x^40-x^30)+x^20)-x^10)+1)))+(-(-(-(-(-(-(((1/1000)*((58*x^19)+(58*x^18)+(58*x^17)+(58*x^16)+(58*x^15)+(105*x^14)+(105*x^13)+(105*x^12)+(105*x^11)+(105*x^10)+(71*x^9)+(71*x^8)+(71*x^7)+(71*x^6)+(71*x^5)+(41*x^4)+(41*x^3)+(41*x^2)+(41*x)+41))/(x^20+x^15+x^10+x^5+1))))))))+(-(-(-(-(-(-(((1/200)*(((((30*x^19)+(30*x^18)+(30*x^17)+(30*x^16)+(30*x^15))-(35*x^14)-(35*x^13)-(35*x^12)-(35*x^11)-(35*x^10))+(9*x^9)+(9*x^8)+(9*x^7)+(9*x^6)+(9*x^5))-(39*x^4)-(39*x^3)-(39*x^2)-(39*x)-39))/((((x^20-x^15)+x^10)-x^5)+1))))))))+(-(-(-(-(-(-(((1/8000)*((((358*x^7)+(447*x^6)+(182*x^5)+(6*x^4)+(180*x^3)+(16*x^2))-(69*x))+12))/((((x^8-x^6)+x^4)-x^2)+1))))))))+(-(-(-(-(-(-(((1/80000000)*((26597366*x^3)+(39867053*x^2)+(41028461*x)+31244150))/(x^4+x^3+x^2+x+1))))))))+(-(-(-(-(-(-(((1/16000000)*((1125154*x^3)+(622627*x^2)+(531293*x)+1188446))/((((x^4-x^3)+x^2)-x)+1))))))))+(-(-(-(-(-(-(((1/8000)*((92*x)+3))/(x^2+1))))))))+(-(-(-(-(-(-(((1/200)*(((3*x^19)+(3*x^18)+(3*x^17)+(3*x^16)+(3*x^15)+(3*x^14)+(3*x^13)+(3*x^12)+(3*x^11)+(3*x^10))-x^4-x^3-x^2-x-1))/(x^20+x^15+x^10+x^5+1)^2)))))))+(-(-(-(-(-(-(((1/40)*((x^19+x^18+x^17+x^16+x^15)-x^14-x^13-x^12-x^11-x^10-x^4-x^3-x^2-x-1))/((((x^20-x^15)+x^10)-x^5)+1)^2)))))))+(-(-(-(-(-(-(((1/800)*(((x^7+x^6+(2*x^5)+(3*x^4)+x^3)-(2*x^2))+1))/((((x^8-x^6)+x^4)-x^2)+1)^2)))))))+(-(-(-(-(-(-(((1/10000000)*((1452660*x^3)+(1520478*x^2)+(896319*x)+239303))/(x^4+x^3+x^2+x+1)^2)))))))+(-(-(-(-(-(-(((1/1600000)*((((720*x^3)-(27330*x^2))+(14383*x))-27680))/((((x^4-x^3)+x^2)-x)+1)^2)))))))+(-(-(-(-(-(79649/4000000/(x+1)))))))+(-(-(-(-(-(5739029/20000000/(x-1)))))))+(-(-(-(-(((1/4000)*x)/(x^2+1)^2)))))+(-(-(-(-(((1/2000000)*(((35137*x^3)+(4550*x^2))-(27761*x)-29801))/(x^4+x^3+x^2+x+1)^3)))))+(-(-(-(-(((1/160000)*((((177*x^3)-(350*x^2))+(181*x))-181))/((((x^4-x^3)+x^2)-x)+1)^3)))))+(-(-(-(2913/3200000/(x+1)^2))))+(-(-(-(13327679/80000000/(x-1)^2))))+(-(-(-(((1/100000)*((36*x^3)+(291*x^2)+(340*x)+178))/(x^4+x^3+x^2+x+1)^4))))+(-(-(-(((1/16000)*(x^3-x^2))/((((x^4-x^3)+x^2)-x)+1)^4))))+(-(-(6097/400000/(x-1)^3)))+(-(-(((1/40000)*((4*x^3)+(7*x^2)+(4*x)))/(x^4+x^3+x^2+x+1)^5)))+(-(1/4000000/(x+1)^4))+(-(1421/2000000/(x-1)^4))+(-(9/500000/(x-1)^5))+(1/5000000/(x-1)^6))))))+(((1/5)*((15*x^3)+(4*x^2)+(8*x)+9))/((((x^4-x^3)+x^2)-x)+1))+(-(-(((1/5)*((11*x^3)+(16*x^2)+(15*x)+8))/(x^4+x^3+x^2+x+1))))+(-(-(((1/2)*((2*x^3)+(2*x^2)+x))/(x^4+x^3+x^2+x+1)^2)))+(-(-(((1/2)*(((2*x^2)-x)+2))/((((x^4-x^3)+x^2)-x)+1)^2)))+(-(1/2/(x+1)))+(-(33/10/(x-1)))+(9/20/(x-1)^2))
A254233 = (((-(31250/273))*differential((A001306+(-((-(((1/20)*(((8*x^39)+(8*x^38)+(8*x^37)+(8*x^36)+(8*x^35)+(11*x^34)+(11*x^33)+(11*x^32)+(11*x^31)+(11*x^30)+(6*x^29)+(6*x^28)+(6*x^27)+(6*x^26)+(6*x^25)+(3*x^24)+(3*x^23)+(3*x^22)+(3*x^21)+(3*x^20)+(8*x^19)+(8*x^18)+(8*x^17)+(8*x^16)+(8*x^15)+(8*x^14)+(8*x^13)+(8*x^12)+(8*x^11)+(8*x^10))-(4*x^4)-(4*x^3)-(4*x^2)-(4*x)-4))/((((x^40-x^30)+x^20)-x^10)+1)))+(-(-(-(-(-(-(((1/1000)*((58*x^19)+(58*x^18)+(58*x^17)+(58*x^16)+(58*x^15)+(105*x^14)+(105*x^13)+(105*x^12)+(105*x^11)+(105*x^10)+(71*x^9)+(71*x^8)+(71*x^7)+(71*x^6)+(71*x^5)+(41*x^4)+(41*x^3)+(41*x^2)+(41*x)+41))/(x^20+x^15+x^10+x^5+1))))))))+(-(-(-(-(-(-(((1/200)*(((((30*x^19)+(30*x^18)+(30*x^17)+(30*x^16)+(30*x^15))-(35*x^14)-(35*x^13)-(35*x^12)-(35*x^11)-(35*x^10))+(9*x^9)+(9*x^8)+(9*x^7)+(9*x^6)+(9*x^5))-(39*x^4)-(39*x^3)-(39*x^2)-(39*x)-39))/((((x^20-x^15)+x^10)-x^5)+1))))))))+(-(-(-(-(-(-(((1/8000)*((((358*x^7)+(447*x^6)+(182*x^5)+(6*x^4)+(180*x^3)+(16*x^2))-(69*x))+12))/((((x^8-x^6)+x^4)-x^2)+1))))))))+(-(-(-(-(-(-(((1/80000000)*((26597366*x^3)+(39867053*x^2)+(41028461*x)+31244150))/(x^4+x^3+x^2+x+1))))))))+(-(-(-(-(-(-(((1/16000000)*((1125154*x^3)+(622627*x^2)+(531293*x)+1188446))/((((x^4-x^3)+x^2)-x)+1))))))))+(-(-(-(-(-(-(((1/8000)*((92*x)+3))/(x^2+1))))))))+(-(-(-(-(-(-(((1/200)*(((3*x^19)+(3*x^18)+(3*x^17)+(3*x^16)+(3*x^15)+(3*x^14)+(3*x^13)+(3*x^12)+(3*x^11)+(3*x^10))-x^4-x^3-x^2-x-1))/(x^20+x^15+x^10+x^5+1)^2)))))))+(-(-(-(-(-(-(((1/40)*((x^19+x^18+x^17+x^16+x^15)-x^14-x^13-x^12-x^11-x^10-x^4-x^3-x^2-x-1))/((((x^20-x^15)+x^10)-x^5)+1)^2)))))))+(-(-(-(-(-(-(((1/800)*(((x^7+x^6+(2*x^5)+(3*x^4)+x^3)-(2*x^2))+1))/((((x^8-x^6)+x^4)-x^2)+1)^2)))))))+(-(-(-(-(-(-(((1/10000000)*((1452660*x^3)+(1520478*x^2)+(896319*x)+239303))/(x^4+x^3+x^2+x+1)^2)))))))+(-(-(-(-(-(-(((1/1600000)*((((720*x^3)-(27330*x^2))+(14383*x))-27680))/((((x^4-x^3)+x^2)-x)+1)^2)))))))+(-(-(-(-(-(79649/4000000/(x+1)))))))+(-(-(-(-(-(5739029/20000000/(x-1)))))))+(-(-(-(-(((1/4000)*x)/(x^2+1)^2)))))+(-(-(-(-(((1/2000000)*(((35137*x^3)+(4550*x^2))-(27761*x)-29801))/(x^4+x^3+x^2+x+1)^3)))))+(-(-(-(-(((1/160000)*((((177*x^3)-(350*x^2))+(181*x))-181))/((((x^4-x^3)+x^2)-x)+1)^3)))))+(-(-(-(2913/3200000/(x+1)^2))))+(-(-(-(13327679/80000000/(x-1)^2))))+(-(-(-(((1/100000)*((36*x^3)+(291*x^2)+(340*x)+178))/(x^4+x^3+x^2+x+1)^4))))+(-(-(-(((1/16000)*(x^3-x^2))/((((x^4-x^3)+x^2)-x)+1)^4))))+(-(-(6097/400000/(x-1)^3)))+(-(-(((1/40000)*((4*x^3)+(7*x^2)+(4*x)))/(x^4+x^3+x^2+x+1)^5)))+(-(1/4000000/(x+1)^4))+(-(1421/2000000/(x-1)^4))+(-(9/500000/(x-1)^5))+(1/5000000/(x-1)^6))))))+(((1/972)*((113*x)+137))/(x^2+x+1))+(-(-(-(-(-(((1/12)*(x-1))/((x^2-x)+1)))))))+(-(-(-(-(3/32/(x^2+1))))))+(-(-(-(-(((1/162)*((12*x)+11))/(x^2+x+1)^2)))))+(-(-(-(-(41/384/(x+1))))))+(-(-(-(-(4345/31104/(x-1))))))+(-(-(-(83/1536/(x+1)^2))))+(-(-(-(9205/124416/(x-1)^2))))+(-(-(-(((1/27)*x)/(x^2+x+1)^3))))+(-(-(-(3/128/(x+1)^3))))+(-(-(-(3/64/(x-1)^3))))+(-(-(23/576/(x-1)^4)))+(-(-(5/144/(x-1)^5)))+(-(1/32/(x-1)^6))+(-(1/36/(x-1)^7))+(1/36/(x-1)^8))
A257464 = (((-(50000/2613))*(A001306+(-((-(((1/20)*(((8*x^39)+(8*x^38)+(8*x^37)+(8*x^36)+(8*x^35)+(11*x^34)+(11*x^33)+(11*x^32)+(11*x^31)+(11*x^30)+(6*x^29)+(6*x^28)+(6*x^27)+(6*x^26)+(6*x^25)+(3*x^24)+(3*x^23)+(3*x^22)+(3*x^21)+(3*x^20)+(8*x^19)+(8*x^18)+(8*x^17)+(8*x^16)+(8*x^15)+(8*x^14)+(8*x^13)+(8*x^12)+(8*x^11)+(8*x^10))-(4*x^4)-(4*x^3)-(4*x^2)-(4*x)-4))/((((x^40-x^30)+x^20)-x^10)+1)))+(-(-(-(-(-(-(((1/1000)*((58*x^19)+(58*x^18)+(58*x^17)+(58*x^16)+(58*x^15)+(105*x^14)+(105*x^13)+(105*x^12)+(105*x^11)+(105*x^10)+(71*x^9)+(71*x^8)+(71*x^7)+(71*x^6)+(71*x^5)+(41*x^4)+(41*x^3)+(41*x^2)+(41*x)+41))/(x^20+x^15+x^10+x^5+1))))))))+(-(-(-(-(-(-(((1/200)*(((((30*x^19)+(30*x^18)+(30*x^17)+(30*x^16)+(30*x^15))-(35*x^14)-(35*x^13)-(35*x^12)-(35*x^11)-(35*x^10))+(9*x^9)+(9*x^8)+(9*x^7)+(9*x^6)+(9*x^5))-(39*x^4)-(39*x^3)-(39*x^2)-(39*x)-39))/((((x^20-x^15)+x^10)-x^5)+1))))))))+(-(-(-(-(-(-(((1/8000)*((((358*x^7)+(447*x^6)+(182*x^5)+(6*x^4)+(180*x^3)+(16*x^2))-(69*x))+12))/((((x^8-x^6)+x^4)-x^2)+1))))))))+(-(-(-(-(-(-(((1/80000000)*((26597366*x^3)+(39867053*x^2)+(41028461*x)+31244150))/(x^4+x^3+x^2+x+1))))))))+(-(-(-(-(-(-(((1/16000000)*((1125154*x^3)+(622627*x^2)+(531293*x)+1188446))/((((x^4-x^3)+x^2)-x)+1))))))))+(-(-(-(-(-(-(((1/8000)*((92*x)+3))/(x^2+1))))))))+(-(-(-(-(-(-(((1/200)*(((3*x^19)+(3*x^18)+(3*x^17)+(3*x^16)+(3*x^15)+(3*x^14)+(3*x^13)+(3*x^12)+(3*x^11)+(3*x^10))-x^4-x^3-x^2-x-1))/(x^20+x^15+x^10+x^5+1)^2)))))))+(-(-(-(-(-(-(((1/40)*((x^19+x^18+x^17+x^16+x^15)-x^14-x^13-x^12-x^11-x^10-x^4-x^3-x^2-x-1))/((((x^20-x^15)+x^10)-x^5)+1)^2)))))))+(-(-(-(-(-(-(((1/800)*(((x^7+x^6+(2*x^5)+(3*x^4)+x^3)-(2*x^2))+1))/((((x^8-x^6)+x^4)-x^2)+1)^2)))))))+(-(-(-(-(-(-(((1/10000000)*((1452660*x^3)+(1520478*x^2)+(896319*x)+239303))/(x^4+x^3+x^2+x+1)^2)))))))+(-(-(-(-(-(-(((1/1600000)*((((720*x^3)-(27330*x^2))+(14383*x))-27680))/((((x^4-x^3)+x^2)-x)+1)^2)))))))+(-(-(-(-(-(79649/4000000/(x+1)))))))+(-(-(-(-(-(5739029/20000000/(x-1)))))))+(-(-(-(-(((1/4000)*x)/(x^2+1)^2)))))+(-(-(-(-(((1/2000000)*(((35137*x^3)+(4550*x^2))-(27761*x)-29801))/(x^4+x^3+x^2+x+1)^3)))))+(-(-(-(-(((1/160000)*((((177*x^3)-(350*x^2))+(181*x))-181))/((((x^4-x^3)+x^2)-x)+1)^3)))))+(-(-(-(2913/3200000/(x+1)^2))))+(-(-(-(13327679/80000000/(x-1)^2))))+(-(-(-(((1/100000)*((36*x^3)+(291*x^2)+(340*x)+178))/(x^4+x^3+x^2+x+1)^4))))+(-(-(-(((1/16000)*(x^3-x^2))/((((x^4-x^3)+x^2)-x)+1)^4))))+(-(-(91/4000000/(x+1)^3)))+(-(-(((1/40000)*((4*x^3)+(7*x^2)+(4*x)))/(x^4+x^3+x^2+x+1)^5)))+(-(1/4000000/(x+1)^4))+(-(1421/2000000/(x-1)^4))+(-(9/500000/(x-1)^5))+(1/5000000/(x-1)^6)))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257890 = (((-(800000/6097))*integrate((A001306+(-((-(((1/20)*(((8*x^39)+(8*x^38)+(8*x^37)+(8*x^36)+(8*x^35)+(11*x^34)+(11*x^33)+(11*x^32)+(11*x^31)+(11*x^30)+(6*x^29)+(6*x^28)+(6*x^27)+(6*x^26)+(6*x^25)+(3*x^24)+(3*x^23)+(3*x^22)+(3*x^21)+(3*x^20)+(8*x^19)+(8*x^18)+(8*x^17)+(8*x^16)+(8*x^15)+(8*x^14)+(8*x^13)+(8*x^12)+(8*x^11)+(8*x^10))-(4*x^4)-(4*x^3)-(4*x^2)-(4*x)-4))/((((x^40-x^30)+x^20)-x^10)+1)))+(-(-(-(-(-(-(((1/1000)*((58*x^19)+(58*x^18)+(58*x^17)+(58*x^16)+(58*x^15)+(105*x^14)+(105*x^13)+(105*x^12)+(105*x^11)+(105*x^10)+(71*x^9)+(71*x^8)+(71*x^7)+(71*x^6)+(71*x^5)+(41*x^4)+(41*x^3)+(41*x^2)+(41*x)+41))/(x^20+x^15+x^10+x^5+1))))))))+(-(-(-(-(-(-(((1/200)*(((((30*x^19)+(30*x^18)+(30*x^17)+(30*x^16)+(30*x^15))-(35*x^14)-(35*x^13)-(35*x^12)-(35*x^11)-(35*x^10))+(9*x^9)+(9*x^8)+(9*x^7)+(9*x^6)+(9*x^5))-(39*x^4)-(39*x^3)-(39*x^2)-(39*x)-39))/((((x^20-x^15)+x^10)-x^5)+1))))))))+(-(-(-(-(-(-(((1/8000)*((((358*x^7)+(447*x^6)+(182*x^5)+(6*x^4)+(180*x^3)+(16*x^2))-(69*x))+12))/((((x^8-x^6)+x^4)-x^2)+1))))))))+(-(-(-(-(-(-(((1/80000000)*((26597366*x^3)+(39867053*x^2)+(41028461*x)+31244150))/(x^4+x^3+x^2+x+1))))))))+(-(-(-(-(-(-(((1/16000000)*((1125154*x^3)+(622627*x^2)+(531293*x)+1188446))/((((x^4-x^3)+x^2)-x)+1))))))))+(-(-(-(-(-(-(((1/8000)*((92*x)+3))/(x^2+1))))))))+(-(-(-(-(-(-(((1/200)*(((3*x^19)+(3*x^18)+(3*x^17)+(3*x^16)+(3*x^15)+(3*x^14)+(3*x^13)+(3*x^12)+(3*x^11)+(3*x^10))-x^4-x^3-x^2-x-1))/(x^20+x^15+x^10+x^5+1)^2)))))))+(-(-(-(-(-(-(((1/40)*((x^19+x^18+x^17+x^16+x^15)-x^14-x^13-x^12-x^11-x^10-x^4-x^3-x^2-x-1))/((((x^20-x^15)+x^10)-x^5)+1)^2)))))))+(-(-(-(-(-(-(((1/800)*(((x^7+x^6+(2*x^5)+(3*x^4)+x^3)-(2*x^2))+1))/((((x^8-x^6)+x^4)-x^2)+1)^2)))))))+(-(-(-(-(-(-(((1/10000000)*((1452660*x^3)+(1520478*x^2)+(896319*x)+239303))/(x^4+x^3+x^2+x+1)^2)))))))+(-(-(-(-(-(-(((1/1600000)*((((720*x^3)-(27330*x^2))+(14383*x))-27680))/((((x^4-x^3)+x^2)-x)+1)^2)))))))+(-(-(-(-(-(79649/4000000/(x+1)))))))+(-(-(-(-(-(5739029/20000000/(x-1)))))))+(-(-(-(-(((1/4000)*x)/(x^2+1)^2)))))+(-(-(-(-(((1/2000000)*(((35137*x^3)+(4550*x^2))-(27761*x)-29801))/(x^4+x^3+x^2+x+1)^3)))))+(-(-(-(-(((1/160000)*((((177*x^3)-(350*x^2))+(181*x))-181))/((((x^4-x^3)+x^2)-x)+1)^3)))))+(-(-(-(2913/3200000/(x+1)^2))))+(-(-(-(13327679/80000000/(x-1)^2))))+(-(-(-(((1/100000)*((36*x^3)+(291*x^2)+(340*x)+178))/(x^4+x^3+x^2+x+1)^4))))+(-(-(-(((1/16000)*(x^3-x^2))/((((x^4-x^3)+x^2)-x)+1)^4))))+(-(-(91/4000000/(x+1)^3)))+(-(-(((1/40000)*((4*x^3)+(7*x^2)+(4*x)))/(x^4+x^3+x^2+x+1)^5)))+(-(1/4000000/(x+1)^4))+(-(1421/2000000/(x-1)^4))+(-(9/500000/(x-1)^5))+(1/5000000/(x-1)^6))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257890 = (((-(400000/18291))*differential((A001306+(-((-(((1/20)*(((8*x^39)+(8*x^38)+(8*x^37)+(8*x^36)+(8*x^35)+(11*x^34)+(11*x^33)+(11*x^32)+(11*x^31)+(11*x^30)+(6*x^29)+(6*x^28)+(6*x^27)+(6*x^26)+(6*x^25)+(3*x^24)+(3*x^23)+(3*x^22)+(3*x^21)+(3*x^20)+(8*x^19)+(8*x^18)+(8*x^17)+(8*x^16)+(8*x^15)+(8*x^14)+(8*x^13)+(8*x^12)+(8*x^11)+(8*x^10))-(4*x^4)-(4*x^3)-(4*x^2)-(4*x)-4))/((((x^40-x^30)+x^20)-x^10)+1)))+(-(-(-(-(-(-(((1/1000)*((58*x^19)+(58*x^18)+(58*x^17)+(58*x^16)+(58*x^15)+(105*x^14)+(105*x^13)+(105*x^12)+(105*x^11)+(105*x^10)+(71*x^9)+(71*x^8)+(71*x^7)+(71*x^6)+(71*x^5)+(41*x^4)+(41*x^3)+(41*x^2)+(41*x)+41))/(x^20+x^15+x^10+x^5+1))))))))+(-(-(-(-(-(-(((1/200)*(((((30*x^19)+(30*x^18)+(30*x^17)+(30*x^16)+(30*x^15))-(35*x^14)-(35*x^13)-(35*x^12)-(35*x^11)-(35*x^10))+(9*x^9)+(9*x^8)+(9*x^7)+(9*x^6)+(9*x^5))-(39*x^4)-(39*x^3)-(39*x^2)-(39*x)-39))/((((x^20-x^15)+x^10)-x^5)+1))))))))+(-(-(-(-(-(-(((1/8000)*((((358*x^7)+(447*x^6)+(182*x^5)+(6*x^4)+(180*x^3)+(16*x^2))-(69*x))+12))/((((x^8-x^6)+x^4)-x^2)+1))))))))+(-(-(-(-(-(-(((1/80000000)*((26597366*x^3)+(39867053*x^2)+(41028461*x)+31244150))/(x^4+x^3+x^2+x+1))))))))+(-(-(-(-(-(-(((1/16000000)*((1125154*x^3)+(622627*x^2)+(531293*x)+1188446))/((((x^4-x^3)+x^2)-x)+1))))))))+(-(-(-(-(-(-(((1/8000)*((92*x)+3))/(x^2+1))))))))+(-(-(-(-(-(-(((1/200)*(((3*x^19)+(3*x^18)+(3*x^17)+(3*x^16)+(3*x^15)+(3*x^14)+(3*x^13)+(3*x^12)+(3*x^11)+(3*x^10))-x^4-x^3-x^2-x-1))/(x^20+x^15+x^10+x^5+1)^2)))))))+(-(-(-(-(-(-(((1/40)*((x^19+x^18+x^17+x^16+x^15)-x^14-x^13-x^12-x^11-x^10-x^4-x^3-x^2-x-1))/((((x^20-x^15)+x^10)-x^5)+1)^2)))))))+(-(-(-(-(-(-(((1/800)*(((x^7+x^6+(2*x^5)+(3*x^4)+x^3)-(2*x^2))+1))/((((x^8-x^6)+x^4)-x^2)+1)^2)))))))+(-(-(-(-(-(-(((1/10000000)*((1452660*x^3)+(1520478*x^2)+(896319*x)+239303))/(x^4+x^3+x^2+x+1)^2)))))))+(-(-(-(-(-(-(((1/1600000)*((((720*x^3)-(27330*x^2))+(14383*x))-27680))/((((x^4-x^3)+x^2)-x)+1)^2)))))))+(-(-(-(-(-(79649/4000000/(x+1)))))))+(-(-(-(-(-(5739029/20000000/(x-1)))))))+(-(-(-(-(((1/4000)*x)/(x^2+1)^2)))))+(-(-(-(-(((1/2000000)*(((35137*x^3)+(4550*x^2))-(27761*x)-29801))/(x^4+x^3+x^2+x+1)^3)))))+(-(-(-(-(((1/160000)*((((177*x^3)-(350*x^2))+(181*x))-181))/((((x^4-x^3)+x^2)-x)+1)^3)))))+(-(-(-(2913/3200000/(x+1)^2))))+(-(-(-(13327679/80000000/(x-1)^2))))+(-(-(-(((1/100000)*((36*x^3)+(291*x^2)+(340*x)+178))/(x^4+x^3+x^2+x+1)^4))))+(-(-(-(((1/16000)*(x^3-x^2))/((((x^4-x^3)+x^2)-x)+1)^4))))+(-(-(91/4000000/(x+1)^3)))+(-(-(((1/40000)*((4*x^3)+(7*x^2)+(4*x)))/(x^4+x^3+x^2+x+1)^5)))+(-(1/4000000/(x+1)^4))+(-(1421/2000000/(x-1)^4))+(-(9/500000/(x-1)^5))+(1/5000000/(x-1)^6))))))+(1/(x-1)^2)+(1/(x-1)^6))
A254233 = (((-31250)*(A001306+(-((-(((1/20)*(((8*x^39)+(8*x^38)+(8*x^37)+(8*x^36)+(8*x^35)+(11*x^34)+(11*x^33)+(11*x^32)+(11*x^31)+(11*x^30)+(6*x^29)+(6*x^28)+(6*x^27)+(6*x^26)+(6*x^25)+(3*x^24)+(3*x^23)+(3*x^22)+(3*x^21)+(3*x^20)+(8*x^19)+(8*x^18)+(8*x^17)+(8*x^16)+(8*x^15)+(8*x^14)+(8*x^13)+(8*x^12)+(8*x^11)+(8*x^10))-(4*x^4)-(4*x^3)-(4*x^2)-(4*x)-4))/((((x^40-x^30)+x^20)-x^10)+1)))+(-(-(-(-(-(-(((1/1000)*((58*x^19)+(58*x^18)+(58*x^17)+(58*x^16)+(58*x^15)+(105*x^14)+(105*x^13)+(105*x^12)+(105*x^11)+(105*x^10)+(71*x^9)+(71*x^8)+(71*x^7)+(71*x^6)+(71*x^5)+(41*x^4)+(41*x^3)+(41*x^2)+(41*x)+41))/(x^20+x^15+x^10+x^5+1))))))))+(-(-(-(-(-(-(((1/200)*(((((30*x^19)+(30*x^18)+(30*x^17)+(30*x^16)+(30*x^15))-(35*x^14)-(35*x^13)-(35*x^12)-(35*x^11)-(35*x^10))+(9*x^9)+(9*x^8)+(9*x^7)+(9*x^6)+(9*x^5))-(39*x^4)-(39*x^3)-(39*x^2)-(39*x)-39))/((((x^20-x^15)+x^10)-x^5)+1))))))))+(-(-(-(-(-(-(((1/8000)*((((358*x^7)+(447*x^6)+(182*x^5)+(6*x^4)+(180*x^3)+(16*x^2))-(69*x))+12))/((((x^8-x^6)+x^4)-x^2)+1))))))))+(-(-(-(-(-(-(((1/80000000)*((26597366*x^3)+(39867053*x^2)+(41028461*x)+31244150))/(x^4+x^3+x^2+x+1))))))))+(-(-(-(-(-(-(((1/16000000)*((1125154*x^3)+(622627*x^2)+(531293*x)+1188446))/((((x^4-x^3)+x^2)-x)+1))))))))+(-(-(-(-(-(-(((1/8000)*((92*x)+3))/(x^2+1))))))))+(-(-(-(-(-(-(((1/200)*(((3*x^19)+(3*x^18)+(3*x^17)+(3*x^16)+(3*x^15)+(3*x^14)+(3*x^13)+(3*x^12)+(3*x^11)+(3*x^10))-x^4-x^3-x^2-x-1))/(x^20+x^15+x^10+x^5+1)^2)))))))+(-(-(-(-(-(-(((1/40)*((x^19+x^18+x^17+x^16+x^15)-x^14-x^13-x^12-x^11-x^10-x^4-x^3-x^2-x-1))/((((x^20-x^15)+x^10)-x^5)+1)^2)))))))+(-(-(-(-(-(-(((1/800)*(((x^7+x^6+(2*x^5)+(3*x^4)+x^3)-(2*x^2))+1))/((((x^8-x^6)+x^4)-x^2)+1)^2)))))))+(-(-(-(-(-(-(((1/10000000)*((1452660*x^3)+(1520478*x^2)+(896319*x)+239303))/(x^4+x^3+x^2+x+1)^2)))))))+(-(-(-(-(-(-(((1/1600000)*((((720*x^3)-(27330*x^2))+(14383*x))-27680))/((((x^4-x^3)+x^2)-x)+1)^2)))))))+(-(-(-(-(-(79649/4000000/(x+1)))))))+(-(-(-(-(-(5739029/20000000/(x-1)))))))+(-(-(-(-(((1/4000)*x)/(x^2+1)^2)))))+(-(-(-(-(((1/2000000)*(((35137*x^3)+(4550*x^2))-(27761*x)-29801))/(x^4+x^3+x^2+x+1)^3)))))+(-(-(-(-(((1/160000)*((((177*x^3)-(350*x^2))+(181*x))-181))/((((x^4-x^3)+x^2)-x)+1)^3)))))+(-(-(-(2913/3200000/(x+1)^2))))+(-(-(-(13327679/80000000/(x-1)^2))))+(-(-(-(((1/100000)*((36*x^3)+(291*x^2)+(340*x)+178))/(x^4+x^3+x^2+x+1)^4))))+(-(-(-(((1/16000)*(x^3-x^2))/((((x^4-x^3)+x^2)-x)+1)^4))))+(-(-(91/4000000/(x+1)^3)))+(-(-(6097/400000/(x-1)^3)))+(-(-(((1/40000)*((4*x^3)+(7*x^2)+(4*x)))/(x^4+x^3+x^2+x+1)^5)))+(-(1421/2000000/(x-1)^4))+(-(9/500000/(x-1)^5))+(1/5000000/(x-1)^6)))))+(((1/972)*((113*x)+137))/(x^2+x+1))+(-(-(-(-(-(((1/12)*(x-1))/((x^2-x)+1)))))))+(-(-(-(-(3/32/(x^2+1))))))+(-(-(-(-(((1/162)*((12*x)+11))/(x^2+x+1)^2)))))+(-(-(-(-(41/384/(x+1))))))+(-(-(-(-(4345/31104/(x-1))))))+(-(-(-(83/1536/(x+1)^2))))+(-(-(-(9205/124416/(x-1)^2))))+(-(-(-(((1/27)*x)/(x^2+x+1)^3))))+(-(-(-(3/128/(x+1)^3))))+(-(-(-(3/64/(x-1)^3))))+(-(-(23/576/(x-1)^4)))+(-(-(5/144/(x-1)^5)))+(-(1/32/(x-1)^6))+(-(1/36/(x-1)^7))+(1/36/(x-1)^8))
A257171 = (((-1500000)*integrate((A001306+(-((-(((1/20)*(((8*x^39)+(8*x^38)+(8*x^37)+(8*x^36)+(8*x^35)+(11*x^34)+(11*x^33)+(11*x^32)+(11*x^31)+(11*x^30)+(6*x^29)+(6*x^28)+(6*x^27)+(6*x^26)+(6*x^25)+(3*x^24)+(3*x^23)+(3*x^22)+(3*x^21)+(3*x^20)+(8*x^19)+(8*x^18)+(8*x^17)+(8*x^16)+(8*x^15)+(8*x^14)+(8*x^13)+(8*x^12)+(8*x^11)+(8*x^10))-(4*x^4)-(4*x^3)-(4*x^2)-(4*x)-4))/((((x^40-x^30)+x^20)-x^10)+1)))+(-(-(-(-(-(-(((1/1000)*((58*x^19)+(58*x^18)+(58*x^17)+(58*x^16)+(58*x^15)+(105*x^14)+(105*x^13)+(105*x^12)+(105*x^11)+(105*x^10)+(71*x^9)+(71*x^8)+(71*x^7)+(71*x^6)+(71*x^5)+(41*x^4)+(41*x^3)+(41*x^2)+(41*x)+41))/(x^20+x^15+x^10+x^5+1))))))))+(-(-(-(-(-(-(((1/200)*(((((30*x^19)+(30*x^18)+(30*x^17)+(30*x^16)+(30*x^15))-(35*x^14)-(35*x^13)-(35*x^12)-(35*x^11)-(35*x^10))+(9*x^9)+(9*x^8)+(9*x^7)+(9*x^6)+(9*x^5))-(39*x^4)-(39*x^3)-(39*x^2)-(39*x)-39))/((((x^20-x^15)+x^10)-x^5)+1))))))))+(-(-(-(-(-(-(((1/8000)*((((358*x^7)+(447*x^6)+(182*x^5)+(6*x^4)+(180*x^3)+(16*x^2))-(69*x))+12))/((((x^8-x^6)+x^4)-x^2)+1))))))))+(-(-(-(-(-(-(((1/80000000)*((26597366*x^3)+(39867053*x^2)+(41028461*x)+31244150))/(x^4+x^3+x^2+x+1))))))))+(-(-(-(-(-(-(((1/16000000)*((1125154*x^3)+(622627*x^2)+(531293*x)+1188446))/((((x^4-x^3)+x^2)-x)+1))))))))+(-(-(-(-(-(-(((1/8000)*((92*x)+3))/(x^2+1))))))))+(-(-(-(-(-(-(((1/200)*(((3*x^19)+(3*x^18)+(3*x^17)+(3*x^16)+(3*x^15)+(3*x^14)+(3*x^13)+(3*x^12)+(3*x^11)+(3*x^10))-x^4-x^3-x^2-x-1))/(x^20+x^15+x^10+x^5+1)^2)))))))+(-(-(-(-(-(-(((1/40)*((x^19+x^18+x^17+x^16+x^15)-x^14-x^13-x^12-x^11-x^10-x^4-x^3-x^2-x-1))/((((x^20-x^15)+x^10)-x^5)+1)^2)))))))+(-(-(-(-(-(-(((1/800)*(((x^7+x^6+(2*x^5)+(3*x^4)+x^3)-(2*x^2))+1))/((((x^8-x^6)+x^4)-x^2)+1)^2)))))))+(-(-(-(-(-(-(((1/10000000)*((1452660*x^3)+(1520478*x^2)+(896319*x)+239303))/(x^4+x^3+x^2+x+1)^2)))))))+(-(-(-(-(-(-(((1/1600000)*((((720*x^3)-(27330*x^2))+(14383*x))-27680))/((((x^4-x^3)+x^2)-x)+1)^2)))))))+(-(-(-(-(-(79649/4000000/(x+1)))))))+(-(-(-(-(-(5739029/20000000/(x-1)))))))+(-(-(-(-(((1/4000)*x)/(x^2+1)^2)))))+(-(-(-(-(((1/2000000)*(((35137*x^3)+(4550*x^2))-(27761*x)-29801))/(x^4+x^3+x^2+x+1)^3)))))+(-(-(-(-(((1/160000)*((((177*x^3)-(350*x^2))+(181*x))-181))/((((x^4-x^3)+x^2)-x)+1)^3)))))+(-(-(-(2913/3200000/(x+1)^2))))+(-(-(-(13327679/80000000/(x-1)^2))))+(-(-(-(((1/100000)*((36*x^3)+(291*x^2)+(340*x)+178))/(x^4+x^3+x^2+x+1)^4))))+(-(-(-(((1/16000)*(x^3-x^2))/((((x^4-x^3)+x^2)-x)+1)^4))))+(-(-(91/4000000/(x+1)^3)))+(-(-(6097/400000/(x-1)^3)))+(-(-(((1/40000)*((4*x^3)+(7*x^2)+(4*x)))/(x^4+x^3+x^2+x+1)^5)))+(-(1421/2000000/(x-1)^4))+(-(9/500000/(x-1)^5))+(1/5000000/(x-1)^6))))))+(2*x)+(-(-(3/8/(x+1))))+(-(-(3/8/(x-1))))+(-(3/4/(x-1)^2))+(-(3/8/(x-1)^3))+(-(3/4/(x-1)^4))+(-1))
A257890 = (((-(2000000/1421))*(A001306+(-((-(((1/20)*(((8*x^39)+(8*x^38)+(8*x^37)+(8*x^36)+(8*x^35)+(11*x^34)+(11*x^33)+(11*x^32)+(11*x^31)+(11*x^30)+(6*x^29)+(6*x^28)+(6*x^27)+(6*x^26)+(6*x^25)+(3*x^24)+(3*x^23)+(3*x^22)+(3*x^21)+(3*x^20)+(8*x^19)+(8*x^18)+(8*x^17)+(8*x^16)+(8*x^15)+(8*x^14)+(8*x^13)+(8*x^12)+(8*x^11)+(8*x^10))-(4*x^4)-(4*x^3)-(4*x^2)-(4*x)-4))/((((x^40-x^30)+x^20)-x^10)+1)))+(-(-(-(-(-(-(((1/1000)*((58*x^19)+(58*x^18)+(58*x^17)+(58*x^16)+(58*x^15)+(105*x^14)+(105*x^13)+(105*x^12)+(105*x^11)+(105*x^10)+(71*x^9)+(71*x^8)+(71*x^7)+(71*x^6)+(71*x^5)+(41*x^4)+(41*x^3)+(41*x^2)+(41*x)+41))/(x^20+x^15+x^10+x^5+1))))))))+(-(-(-(-(-(-(((1/200)*(((((30*x^19)+(30*x^18)+(30*x^17)+(30*x^16)+(30*x^15))-(35*x^14)-(35*x^13)-(35*x^12)-(35*x^11)-(35*x^10))+(9*x^9)+(9*x^8)+(9*x^7)+(9*x^6)+(9*x^5))-(39*x^4)-(39*x^3)-(39*x^2)-(39*x)-39))/((((x^20-x^15)+x^10)-x^5)+1))))))))+(-(-(-(-(-(-(((1/8000)*((((358*x^7)+(447*x^6)+(182*x^5)+(6*x^4)+(180*x^3)+(16*x^2))-(69*x))+12))/((((x^8-x^6)+x^4)-x^2)+1))))))))+(-(-(-(-(-(-(((1/80000000)*((26597366*x^3)+(39867053*x^2)+(41028461*x)+31244150))/(x^4+x^3+x^2+x+1))))))))+(-(-(-(-(-(-(((1/16000000)*((1125154*x^3)+(622627*x^2)+(531293*x)+1188446))/((((x^4-x^3)+x^2)-x)+1))))))))+(-(-(-(-(-(-(((1/8000)*((92*x)+3))/(x^2+1))))))))+(-(-(-(-(-(-(((1/200)*(((3*x^19)+(3*x^18)+(3*x^17)+(3*x^16)+(3*x^15)+(3*x^14)+(3*x^13)+(3*x^12)+(3*x^11)+(3*x^10))-x^4-x^3-x^2-x-1))/(x^20+x^15+x^10+x^5+1)^2)))))))+(-(-(-(-(-(-(((1/40)*((x^19+x^18+x^17+x^16+x^15)-x^14-x^13-x^12-x^11-x^10-x^4-x^3-x^2-x-1))/((((x^20-x^15)+x^10)-x^5)+1)^2)))))))+(-(-(-(-(-(-(((1/800)*(((x^7+x^6+(2*x^5)+(3*x^4)+x^3)-(2*x^2))+1))/((((x^8-x^6)+x^4)-x^2)+1)^2)))))))+(-(-(-(-(-(-(((1/10000000)*((1452660*x^3)+(1520478*x^2)+(896319*x)+239303))/(x^4+x^3+x^2+x+1)^2)))))))+(-(-(-(-(-(-(((1/1600000)*((((720*x^3)-(27330*x^2))+(14383*x))-27680))/((((x^4-x^3)+x^2)-x)+1)^2)))))))+(-(-(-(-(-(79649/4000000/(x+1)))))))+(-(-(-(-(-(5739029/20000000/(x-1)))))))+(-(-(-(-(((1/4000)*x)/(x^2+1)^2)))))+(-(-(-(-(((1/2000000)*(((35137*x^3)+(4550*x^2))-(27761*x)-29801))/(x^4+x^3+x^2+x+1)^3)))))+(-(-(-(-(((1/160000)*((((177*x^3)-(350*x^2))+(181*x))-181))/((((x^4-x^3)+x^2)-x)+1)^3)))))+(-(-(-(2913/3200000/(x+1)^2))))+(-(-(-(13327679/80000000/(x-1)^2))))+(-(-(-(((1/100000)*((36*x^3)+(291*x^2)+(340*x)+178))/(x^4+x^3+x^2+x+1)^4))))+(-(-(-(((1/16000)*(x^3-x^2))/((((x^4-x^3)+x^2)-x)+1)^4))))+(-(-(91/4000000/(x+1)^3)))+(-(-(6097/400000/(x-1)^3)))+(-(-(((1/40000)*((4*x^3)+(7*x^2)+(4*x)))/(x^4+x^3+x^2+x+1)^5)))+(-(1/4000000/(x+1)^4))+(-(9/500000/(x-1)^5))+(1/5000000/(x-1)^6)))))+(1/(x-1)^2)+(1/(x-1)^6))
A257464 = (((-(250000/203))*integrate((A001306+(-((-(((1/20)*(((8*x^39)+(8*x^38)+(8*x^37)+(8*x^36)+(8*x^35)+(11*x^34)+(11*x^33)+(11*x^32)+(11*x^31)+(11*x^30)+(6*x^29)+(6*x^28)+(6*x^27)+(6*x^26)+(6*x^25)+(3*x^24)+(3*x^23)+(3*x^22)+(3*x^21)+(3*x^20)+(8*x^19)+(8*x^18)+(8*x^17)+(8*x^16)+(8*x^15)+(8*x^14)+(8*x^13)+(8*x^12)+(8*x^11)+(8*x^10))-(4*x^4)-(4*x^3)-(4*x^2)-(4*x)-4))/((((x^40-x^30)+x^20)-x^10)+1)))+(-(-(-(-(-(-(((1/1000)*((58*x^19)+(58*x^18)+(58*x^17)+(58*x^16)+(58*x^15)+(105*x^14)+(105*x^13)+(105*x^12)+(105*x^11)+(105*x^10)+(71*x^9)+(71*x^8)+(71*x^7)+(71*x^6)+(71*x^5)+(41*x^4)+(41*x^3)+(41*x^2)+(41*x)+41))/(x^20+x^15+x^10+x^5+1))))))))+(-(-(-(-(-(-(((1/200)*(((((30*x^19)+(30*x^18)+(30*x^17)+(30*x^16)+(30*x^15))-(35*x^14)-(35*x^13)-(35*x^12)-(35*x^11)-(35*x^10))+(9*x^9)+(9*x^8)+(9*x^7)+(9*x^6)+(9*x^5))-(39*x^4)-(39*x^3)-(39*x^2)-(39*x)-39))/((((x^20-x^15)+x^10)-x^5)+1))))))))+(-(-(-(-(-(-(((1/8000)*((((358*x^7)+(447*x^6)+(182*x^5)+(6*x^4)+(180*x^3)+(16*x^2))-(69*x))+12))/((((x^8-x^6)+x^4)-x^2)+1))))))))+(-(-(-(-(-(-(((1/80000000)*((26597366*x^3)+(39867053*x^2)+(41028461*x)+31244150))/(x^4+x^3+x^2+x+1))))))))+(-(-(-(-(-(-(((1/16000000)*((1125154*x^3)+(622627*x^2)+(531293*x)+1188446))/((((x^4-x^3)+x^2)-x)+1))))))))+(-(-(-(-(-(-(((1/8000)*((92*x)+3))/(x^2+1))))))))+(-(-(-(-(-(-(((1/200)*(((3*x^19)+(3*x^18)+(3*x^17)+(3*x^16)+(3*x^15)+(3*x^14)+(3*x^13)+(3*x^12)+(3*x^11)+(3*x^10))-x^4-x^3-x^2-x-1))/(x^20+x^15+x^10+x^5+1)^2)))))))+(-(-(-(-(-(-(((1/40)*((x^19+x^18+x^17+x^16+x^15)-x^14-x^13-x^12-x^11-x^10-x^4-x^3-x^2-x-1))/((((x^20-x^15)+x^10)-x^5)+1)^2)))))))+(-(-(-(-(-(-(((1/800)*(((x^7+x^6+(2*x^5)+(3*x^4)+x^3)-(2*x^2))+1))/((((x^8-x^6)+x^4)-x^2)+1)^2)))))))+(-(-(-(-(-(-(((1/10000000)*((1452660*x^3)+(1520478*x^2)+(896319*x)+239303))/(x^4+x^3+x^2+x+1)^2)))))))+(-(-(-(-(-(-(((1/1600000)*((((720*x^3)-(27330*x^2))+(14383*x))-27680))/((((x^4-x^3)+x^2)-x)+1)^2)))))))+(-(-(-(-(-(79649/4000000/(x+1)))))))+(-(-(-(-(-(5739029/20000000/(x-1)))))))+(-(-(-(-(((1/4000)*x)/(x^2+1)^2)))))+(-(-(-(-(((1/2000000)*(((35137*x^3)+(4550*x^2))-(27761*x)-29801))/(x^4+x^3+x^2+x+1)^3)))))+(-(-(-(-(((1/160000)*((((177*x^3)-(350*x^2))+(181*x))-181))/((((x^4-x^3)+x^2)-x)+1)^3)))))+(-(-(-(2913/3200000/(x+1)^2))))+(-(-(-(13327679/80000000/(x-1)^2))))+(-(-(-(((1/100000)*((36*x^3)+(291*x^2)+(340*x)+178))/(x^4+x^3+x^2+x+1)^4))))+(-(-(-(((1/16000)*(x^3-x^2))/((((x^4-x^3)+x^2)-x)+1)^4))))+(-(-(91/4000000/(x+1)^3)))+(-(-(6097/400000/(x-1)^3)))+(-(-(((1/40000)*((4*x^3)+(7*x^2)+(4*x)))/(x^4+x^3+x^2+x+1)^5)))+(-(1/4000000/(x+1)^4))+(-(9/500000/(x-1)^5))+(1/5000000/(x-1)^6))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257464 = (((-(250000/1421))*differential((A001306+(-((-(((1/20)*(((8*x^39)+(8*x^38)+(8*x^37)+(8*x^36)+(8*x^35)+(11*x^34)+(11*x^33)+(11*x^32)+(11*x^31)+(11*x^30)+(6*x^29)+(6*x^28)+(6*x^27)+(6*x^26)+(6*x^25)+(3*x^24)+(3*x^23)+(3*x^22)+(3*x^21)+(3*x^20)+(8*x^19)+(8*x^18)+(8*x^17)+(8*x^16)+(8*x^15)+(8*x^14)+(8*x^13)+(8*x^12)+(8*x^11)+(8*x^10))-(4*x^4)-(4*x^3)-(4*x^2)-(4*x)-4))/((((x^40-x^30)+x^20)-x^10)+1)))+(-(-(-(-(-(-(((1/1000)*((58*x^19)+(58*x^18)+(58*x^17)+(58*x^16)+(58*x^15)+(105*x^14)+(105*x^13)+(105*x^12)+(105*x^11)+(105*x^10)+(71*x^9)+(71*x^8)+(71*x^7)+(71*x^6)+(71*x^5)+(41*x^4)+(41*x^3)+(41*x^2)+(41*x)+41))/(x^20+x^15+x^10+x^5+1))))))))+(-(-(-(-(-(-(((1/200)*(((((30*x^19)+(30*x^18)+(30*x^17)+(30*x^16)+(30*x^15))-(35*x^14)-(35*x^13)-(35*x^12)-(35*x^11)-(35*x^10))+(9*x^9)+(9*x^8)+(9*x^7)+(9*x^6)+(9*x^5))-(39*x^4)-(39*x^3)-(39*x^2)-(39*x)-39))/((((x^20-x^15)+x^10)-x^5)+1))))))))+(-(-(-(-(-(-(((1/8000)*((((358*x^7)+(447*x^6)+(182*x^5)+(6*x^4)+(180*x^3)+(16*x^2))-(69*x))+12))/((((x^8-x^6)+x^4)-x^2)+1))))))))+(-(-(-(-(-(-(((1/80000000)*((26597366*x^3)+(39867053*x^2)+(41028461*x)+31244150))/(x^4+x^3+x^2+x+1))))))))+(-(-(-(-(-(-(((1/16000000)*((1125154*x^3)+(622627*x^2)+(531293*x)+1188446))/((((x^4-x^3)+x^2)-x)+1))))))))+(-(-(-(-(-(-(((1/8000)*((92*x)+3))/(x^2+1))))))))+(-(-(-(-(-(-(((1/200)*(((3*x^19)+(3*x^18)+(3*x^17)+(3*x^16)+(3*x^15)+(3*x^14)+(3*x^13)+(3*x^12)+(3*x^11)+(3*x^10))-x^4-x^3-x^2-x-1))/(x^20+x^15+x^10+x^5+1)^2)))))))+(-(-(-(-(-(-(((1/40)*((x^19+x^18+x^17+x^16+x^15)-x^14-x^13-x^12-x^11-x^10-x^4-x^3-x^2-x-1))/((((x^20-x^15)+x^10)-x^5)+1)^2)))))))+(-(-(-(-(-(-(((1/800)*(((x^7+x^6+(2*x^5)+(3*x^4)+x^3)-(2*x^2))+1))/((((x^8-x^6)+x^4)-x^2)+1)^2)))))))+(-(-(-(-(-(-(((1/10000000)*((1452660*x^3)+(1520478*x^2)+(896319*x)+239303))/(x^4+x^3+x^2+x+1)^2)))))))+(-(-(-(-(-(-(((1/1600000)*((((720*x^3)-(27330*x^2))+(14383*x))-27680))/((((x^4-x^3)+x^2)-x)+1)^2)))))))+(-(-(-(-(-(79649/4000000/(x+1)))))))+(-(-(-(-(-(5739029/20000000/(x-1)))))))+(-(-(-(-(((1/4000)*x)/(x^2+1)^2)))))+(-(-(-(-(((1/2000000)*(((35137*x^3)+(4550*x^2))-(27761*x)-29801))/(x^4+x^3+x^2+x+1)^3)))))+(-(-(-(-(((1/160000)*((((177*x^3)-(350*x^2))+(181*x))-181))/((((x^4-x^3)+x^2)-x)+1)^3)))))+(-(-(-(2913/3200000/(x+1)^2))))+(-(-(-(13327679/80000000/(x-1)^2))))+(-(-(-(((1/100000)*((36*x^3)+(291*x^2)+(340*x)+178))/(x^4+x^3+x^2+x+1)^4))))+(-(-(-(((1/16000)*(x^3-x^2))/((((x^4-x^3)+x^2)-x)+1)^4))))+(-(-(91/4000000/(x+1)^3)))+(-(-(6097/400000/(x-1)^3)))+(-(-(((1/40000)*((4*x^3)+(7*x^2)+(4*x)))/(x^4+x^3+x^2+x+1)^5)))+(-(1/4000000/(x+1)^4))+(-(9/500000/(x-1)^5))+(1/5000000/(x-1)^6))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(7/24/(x-1)^3))+(-(1/2/(x-1)^4)))
A257464 = (((250000/9)*(A001306+(-((-(((1/20)*(((8*x^39)+(8*x^38)+(8*x^37)+(8*x^36)+(8*x^35)+(11*x^34)+(11*x^33)+(11*x^32)+(11*x^31)+(11*x^30)+(6*x^29)+(6*x^28)+(6*x^27)+(6*x^26)+(6*x^25)+(3*x^24)+(3*x^23)+(3*x^22)+(3*x^21)+(3*x^20)+(8*x^19)+(8*x^18)+(8*x^17)+(8*x^16)+(8*x^15)+(8*x^14)+(8*x^13)+(8*x^12)+(8*x^11)+(8*x^10))-(4*x^4)-(4*x^3)-(4*x^2)-(4*x)-4))/((((x^40-x^30)+x^20)-x^10)+1)))+(-(-(-(-(-(-(((1/1000)*((58*x^19)+(58*x^18)+(58*x^17)+(58*x^16)+(58*x^15)+(105*x^14)+(105*x^13)+(105*x^12)+(105*x^11)+(105*x^10)+(71*x^9)+(71*x^8)+(71*x^7)+(71*x^6)+(71*x^5)+(41*x^4)+(41*x^3)+(41*x^2)+(41*x)+41))/(x^20+x^15+x^10+x^5+1))))))))+(-(-(-(-(-(-(((1/200)*(((((30*x^19)+(30*x^18)+(30*x^17)+(30*x^16)+(30*x^15))-(35*x^14)-(35*x^13)-(35*x^12)-(35*x^11)-(35*x^10))+(9*x^9)+(9*x^8)+(9*x^7)+(9*x^6)+(9*x^5))-(39*x^4)-(39*x^3)-(39*x^2)-(39*x)-39))/((((x^20-x^15)+x^10)-x^5)+1))))))))+(-(-(-(-(-(-(((1/8000)*((((358*x^7)+(447*x^6)+(182*x^5)+(6*x^4)+(180*x^3)+(16*x^2))-(69*x))+12))/((((x^8-x^6)+x^4)-x^2)+1))))))))+(-(-(-(-(-(-(((1/80000000)*((26597366*x^3)+(39867053*x^2)+(41028461*x)+31244150))/(x^4+x^3+x^2+x+1))))))))+(-(-(-(-(-(-(((1/16000000)*((1125154*x^3)+(622627*x^2)+(531293*x)+1188446))/((((x^4-x^3)+x^2)-x)+1))))))))+(-(-(-(-(-(-(((1/8000)*((92*x)+3))/(x^2+1))))))))+(-(-(-(-(-(-(((1/200)*(((3*x^19)+(3*x^18)+(3*x^17)+(3*x^16)+(3*x^15)+(3*x^14)+(3*x^13)+(3*x^12)+(3*x^11)+(3*x^10))-x^4-x^3-x^2-x-1))/(x^20+x^15+x^10+x^5+1)^2)))))))+(-(-(-(-(-(-(((1/40)*((x^19+x^18+x^17+x^16+x^15)-x^14-x^13-x^12-x^11-x^10-x^4-x^3-x^2-x-1))/((((x^20-x^15)+x^10)-x^5)+1)^2)))))))+(-(-(-(-(-(-(((1/800)*(((x^7+x^6+(2*x^5)+(3*x^4)+x^3)-(2*x^2))+1))/((((x^8-x^6)+x^4)-x^2)+1)^2)))))))+(-(-(-(-(-(-(((1/10000000)*((1452660*x^3)+(1520478*x^2)+(896319*x)+239303))/(x^4+x^3+x^2+x+1)^2)))))))+(-(-(-(-(-(-(((1/1600000)*((((720*x^3)-(27330*x^2))+(14383*x))-27680))/((((x^4-x^3)+x^2)-x)+1)^2)))))))+(-(-(-(-(-(79649/4000000/(x+1)))))))+(-(-(-(-(-(5739029/20000000/(x-1)))))))+(-(-(-(-(((1/4000)*x)/(x^2+1)^2)))))+(-(-(-(-(((1/2000000)*(((35137*x^3)+(4550*x^2))-(27761*x)-29801))/(x^4+x^3+x^2+x+1)^3)))))+(-(-(-(-(((1/160000)*((((177*x^3)-(350*x^2))+(181*x))-181))/((((x^4-x^3)+x^2)-x)+1)^3)))))+(-(-(-(2913/3200000/(x+1)^2))))+(-(-(-(13327679/80000000/(x-1)^2))))+(-(-(-(((1/100000)*((36*x^3)+(291*x^2)+(340*x)+178))/(x^4+x^3+x^2+x+1)^4))))+(-(-(-(((1/16000)*(x^3-x^2))/((((x^4-x^3)+x^2)-x)+1)^4))))+(-(-(91/4000000/(x+1)^3)))+(-(-(6097/400000/(x-1)^3)))+(-(-(((1/40000)*((4*x^3)+(7*x^2)+(4*x)))/(x^4+x^3+x^2+x+1)^5)))+(-(1/4000000/(x+1)^4))+(-(1421/2000000/(x-1)^4))+(1/5000000/(x-1)^6)))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(7/24/(x-1)^3))+(-(1/2/(x-1)^4)))
A257890 = (((2000000/9)*integrate((A001306+(-((-(((1/20)*(((8*x^39)+(8*x^38)+(8*x^37)+(8*x^36)+(8*x^35)+(11*x^34)+(11*x^33)+(11*x^32)+(11*x^31)+(11*x^30)+(6*x^29)+(6*x^28)+(6*x^27)+(6*x^26)+(6*x^25)+(3*x^24)+(3*x^23)+(3*x^22)+(3*x^21)+(3*x^20)+(8*x^19)+(8*x^18)+(8*x^17)+(8*x^16)+(8*x^15)+(8*x^14)+(8*x^13)+(8*x^12)+(8*x^11)+(8*x^10))-(4*x^4)-(4*x^3)-(4*x^2)-(4*x)-4))/((((x^40-x^30)+x^20)-x^10)+1)))+(-(-(-(-(-(-(((1/1000)*((58*x^19)+(58*x^18)+(58*x^17)+(58*x^16)+(58*x^15)+(105*x^14)+(105*x^13)+(105*x^12)+(105*x^11)+(105*x^10)+(71*x^9)+(71*x^8)+(71*x^7)+(71*x^6)+(71*x^5)+(41*x^4)+(41*x^3)+(41*x^2)+(41*x)+41))/(x^20+x^15+x^10+x^5+1))))))))+(-(-(-(-(-(-(((1/200)*(((((30*x^19)+(30*x^18)+(30*x^17)+(30*x^16)+(30*x^15))-(35*x^14)-(35*x^13)-(35*x^12)-(35*x^11)-(35*x^10))+(9*x^9)+(9*x^8)+(9*x^7)+(9*x^6)+(9*x^5))-(39*x^4)-(39*x^3)-(39*x^2)-(39*x)-39))/((((x^20-x^15)+x^10)-x^5)+1))))))))+(-(-(-(-(-(-(((1/8000)*((((358*x^7)+(447*x^6)+(182*x^5)+(6*x^4)+(180*x^3)+(16*x^2))-(69*x))+12))/((((x^8-x^6)+x^4)-x^2)+1))))))))+(-(-(-(-(-(-(((1/80000000)*((26597366*x^3)+(39867053*x^2)+(41028461*x)+31244150))/(x^4+x^3+x^2+x+1))))))))+(-(-(-(-(-(-(((1/16000000)*((1125154*x^3)+(622627*x^2)+(531293*x)+1188446))/((((x^4-x^3)+x^2)-x)+1))))))))+(-(-(-(-(-(-(((1/8000)*((92*x)+3))/(x^2+1))))))))+(-(-(-(-(-(-(((1/200)*(((3*x^19)+(3*x^18)+(3*x^17)+(3*x^16)+(3*x^15)+(3*x^14)+(3*x^13)+(3*x^12)+(3*x^11)+(3*x^10))-x^4-x^3-x^2-x-1))/(x^20+x^15+x^10+x^5+1)^2)))))))+(-(-(-(-(-(-(((1/40)*((x^19+x^18+x^17+x^16+x^15)-x^14-x^13-x^12-x^11-x^10-x^4-x^3-x^2-x-1))/((((x^20-x^15)+x^10)-x^5)+1)^2)))))))+(-(-(-(-(-(-(((1/800)*(((x^7+x^6+(2*x^5)+(3*x^4)+x^3)-(2*x^2))+1))/((((x^8-x^6)+x^4)-x^2)+1)^2)))))))+(-(-(-(-(-(-(((1/10000000)*((1452660*x^3)+(1520478*x^2)+(896319*x)+239303))/(x^4+x^3+x^2+x+1)^2)))))))+(-(-(-(-(-(-(((1/1600000)*((((720*x^3)-(27330*x^2))+(14383*x))-27680))/((((x^4-x^3)+x^2)-x)+1)^2)))))))+(-(-(-(-(-(79649/4000000/(x+1)))))))+(-(-(-(-(-(5739029/20000000/(x-1)))))))+(-(-(-(-(((1/4000)*x)/(x^2+1)^2)))))+(-(-(-(-(((1/2000000)*(((35137*x^3)+(4550*x^2))-(27761*x)-29801))/(x^4+x^3+x^2+x+1)^3)))))+(-(-(-(-(((1/160000)*((((177*x^3)-(350*x^2))+(181*x))-181))/((((x^4-x^3)+x^2)-x)+1)^3)))))+(-(-(-(2913/3200000/(x+1)^2))))+(-(-(-(13327679/80000000/(x-1)^2))))+(-(-(-(((1/100000)*((36*x^3)+(291*x^2)+(340*x)+178))/(x^4+x^3+x^2+x+1)^4))))+(-(-(-(((1/16000)*(x^3-x^2))/((((x^4-x^3)+x^2)-x)+1)^4))))+(-(-(91/4000000/(x+1)^3)))+(-(-(6097/400000/(x-1)^3)))+(-(-(((1/40000)*((4*x^3)+(7*x^2)+(4*x)))/(x^4+x^3+x^2+x+1)^5)))+(-(1/4000000/(x+1)^4))+(-(1421/2000000/(x-1)^4))+(1/5000000/(x-1)^6))))))+(1/(x-1)^2)+(1/(x-1)^6))
A257890 = (((100000/9)*differential((A001306+(-((-(((1/20)*(((8*x^39)+(8*x^38)+(8*x^37)+(8*x^36)+(8*x^35)+(11*x^34)+(11*x^33)+(11*x^32)+(11*x^31)+(11*x^30)+(6*x^29)+(6*x^28)+(6*x^27)+(6*x^26)+(6*x^25)+(3*x^24)+(3*x^23)+(3*x^22)+(3*x^21)+(3*x^20)+(8*x^19)+(8*x^18)+(8*x^17)+(8*x^16)+(8*x^15)+(8*x^14)+(8*x^13)+(8*x^12)+(8*x^11)+(8*x^10))-(4*x^4)-(4*x^3)-(4*x^2)-(4*x)-4))/((((x^40-x^30)+x^20)-x^10)+1)))+(-(-(-(-(-(-(((1/1000)*((58*x^19)+(58*x^18)+(58*x^17)+(58*x^16)+(58*x^15)+(105*x^14)+(105*x^13)+(105*x^12)+(105*x^11)+(105*x^10)+(71*x^9)+(71*x^8)+(71*x^7)+(71*x^6)+(71*x^5)+(41*x^4)+(41*x^3)+(41*x^2)+(41*x)+41))/(x^20+x^15+x^10+x^5+1))))))))+(-(-(-(-(-(-(((1/200)*(((((30*x^19)+(30*x^18)+(30*x^17)+(30*x^16)+(30*x^15))-(35*x^14)-(35*x^13)-(35*x^12)-(35*x^11)-(35*x^10))+(9*x^9)+(9*x^8)+(9*x^7)+(9*x^6)+(9*x^5))-(39*x^4)-(39*x^3)-(39*x^2)-(39*x)-39))/((((x^20-x^15)+x^10)-x^5)+1))))))))+(-(-(-(-(-(-(((1/8000)*((((358*x^7)+(447*x^6)+(182*x^5)+(6*x^4)+(180*x^3)+(16*x^2))-(69*x))+12))/((((x^8-x^6)+x^4)-x^2)+1))))))))+(-(-(-(-(-(-(((1/80000000)*((26597366*x^3)+(39867053*x^2)+(41028461*x)+31244150))/(x^4+x^3+x^2+x+1))))))))+(-(-(-(-(-(-(((1/16000000)*((1125154*x^3)+(622627*x^2)+(531293*x)+1188446))/((((x^4-x^3)+x^2)-x)+1))))))))+(-(-(-(-(-(-(((1/8000)*((92*x)+3))/(x^2+1))))))))+(-(-(-(-(-(-(((1/200)*(((3*x^19)+(3*x^18)+(3*x^17)+(3*x^16)+(3*x^15)+(3*x^14)+(3*x^13)+(3*x^12)+(3*x^11)+(3*x^10))-x^4-x^3-x^2-x-1))/(x^20+x^15+x^10+x^5+1)^2)))))))+(-(-(-(-(-(-(((1/40)*((x^19+x^18+x^17+x^16+x^15)-x^14-x^13-x^12-x^11-x^10-x^4-x^3-x^2-x-1))/((((x^20-x^15)+x^10)-x^5)+1)^2)))))))+(-(-(-(-(-(-(((1/800)*(((x^7+x^6+(2*x^5)+(3*x^4)+x^3)-(2*x^2))+1))/((((x^8-x^6)+x^4)-x^2)+1)^2)))))))+(-(-(-(-(-(-(((1/10000000)*((1452660*x^3)+(1520478*x^2)+(896319*x)+239303))/(x^4+x^3+x^2+x+1)^2)))))))+(-(-(-(-(-(-(((1/1600000)*((((720*x^3)-(27330*x^2))+(14383*x))-27680))/((((x^4-x^3)+x^2)-x)+1)^2)))))))+(-(-(-(-(-(79649/4000000/(x+1)))))))+(-(-(-(-(-(5739029/20000000/(x-1)))))))+(-(-(-(-(((1/4000)*x)/(x^2+1)^2)))))+(-(-(-(-(((1/2000000)*(((35137*x^3)+(4550*x^2))-(27761*x)-29801))/(x^4+x^3+x^2+x+1)^3)))))+(-(-(-(-(((1/160000)*((((177*x^3)-(350*x^2))+(181*x))-181))/((((x^4-x^3)+x^2)-x)+1)^3)))))+(-(-(-(2913/3200000/(x+1)^2))))+(-(-(-(13327679/80000000/(x-1)^2))))+(-(-(-(((1/100000)*((36*x^3)+(291*x^2)+(340*x)+178))/(x^4+x^3+x^2+x+1)^4))))+(-(-(-(((1/16000)*(x^3-x^2))/((((x^4-x^3)+x^2)-x)+1)^4))))+(-(-(91/4000000/(x+1)^3)))+(-(-(6097/400000/(x-1)^3)))+(-(-(((1/40000)*((4*x^3)+(7*x^2)+(4*x)))/(x^4+x^3+x^2+x+1)^5)))+(-(1/4000000/(x+1)^4))+(-(1421/2000000/(x-1)^4))+(1/5000000/(x-1)^6))))))+(1/(x-1)^2)+(1/(x-1)^4))
A257890 = ((5000000*(A001306+(-((-(((1/20)*(((8*x^39)+(8*x^38)+(8*x^37)+(8*x^36)+(8*x^35)+(11*x^34)+(11*x^33)+(11*x^32)+(11*x^31)+(11*x^30)+(6*x^29)+(6*x^28)+(6*x^27)+(6*x^26)+(6*x^25)+(3*x^24)+(3*x^23)+(3*x^22)+(3*x^21)+(3*x^20)+(8*x^19)+(8*x^18)+(8*x^17)+(8*x^16)+(8*x^15)+(8*x^14)+(8*x^13)+(8*x^12)+(8*x^11)+(8*x^10))-(4*x^4)-(4*x^3)-(4*x^2)-(4*x)-4))/((((x^40-x^30)+x^20)-x^10)+1)))+(-(-(-(-(-(-(((1/1000)*((58*x^19)+(58*x^18)+(58*x^17)+(58*x^16)+(58*x^15)+(105*x^14)+(105*x^13)+(105*x^12)+(105*x^11)+(105*x^10)+(71*x^9)+(71*x^8)+(71*x^7)+(71*x^6)+(71*x^5)+(41*x^4)+(41*x^3)+(41*x^2)+(41*x)+41))/(x^20+x^15+x^10+x^5+1))))))))+(-(-(-(-(-(-(((1/200)*(((((30*x^19)+(30*x^18)+(30*x^17)+(30*x^16)+(30*x^15))-(35*x^14)-(35*x^13)-(35*x^12)-(35*x^11)-(35*x^10))+(9*x^9)+(9*x^8)+(9*x^7)+(9*x^6)+(9*x^5))-(39*x^4)-(39*x^3)-(39*x^2)-(39*x)-39))/((((x^20-x^15)+x^10)-x^5)+1))))))))+(-(-(-(-(-(-(((1/8000)*((((358*x^7)+(447*x^6)+(182*x^5)+(6*x^4)+(180*x^3)+(16*x^2))-(69*x))+12))/((((x^8-x^6)+x^4)-x^2)+1))))))))+(-(-(-(-(-(-(((1/80000000)*((26597366*x^3)+(39867053*x^2)+(41028461*x)+31244150))/(x^4+x^3+x^2+x+1))))))))+(-(-(-(-(-(-(((1/16000000)*((1125154*x^3)+(622627*x^2)+(531293*x)+1188446))/((((x^4-x^3)+x^2)-x)+1))))))))+(-(-(-(-(-(-(((1/8000)*((92*x)+3))/(x^2+1))))))))+(-(-(-(-(-(-(((1/200)*(((3*x^19)+(3*x^18)+(3*x^17)+(3*x^16)+(3*x^15)+(3*x^14)+(3*x^13)+(3*x^12)+(3*x^11)+(3*x^10))-x^4-x^3-x^2-x-1))/(x^20+x^15+x^10+x^5+1)^2)))))))+(-(-(-(-(-(-(((1/40)*((x^19+x^18+x^17+x^16+x^15)-x^14-x^13-x^12-x^11-x^10-x^4-x^3-x^2-x-1))/((((x^20-x^15)+x^10)-x^5)+1)^2)))))))+(-(-(-(-(-(-(((1/800)*(((x^7+x^6+(2*x^5)+(3*x^4)+x^3)-(2*x^2))+1))/((((x^8-x^6)+x^4)-x^2)+1)^2)))))))+(-(-(-(-(-(-(((1/10000000)*((1452660*x^3)+(1520478*x^2)+(896319*x)+239303))/(x^4+x^3+x^2+x+1)^2)))))))+(-(-(-(-(-(-(((1/1600000)*((((720*x^3)-(27330*x^2))+(14383*x))-27680))/((((x^4-x^3)+x^2)-x)+1)^2)))))))+(-(-(-(-(-(79649/4000000/(x+1)))))))+(-(-(-(-(-(5739029/20000000/(x-1)))))))+(-(-(-(-(((1/4000)*x)/(x^2+1)^2)))))+(-(-(-(-(((1/2000000)*(((35137*x^3)+(4550*x^2))-(27761*x)-29801))/(x^4+x^3+x^2+x+1)^3)))))+(-(-(-(-(((1/160000)*((((177*x^3)-(350*x^2))+(181*x))-181))/((((x^4-x^3)+x^2)-x)+1)^3)))))+(-(-(-(2913/3200000/(x+1)^2))))+(-(-(-(13327679/80000000/(x-1)^2))))+(-(-(-(((1/100000)*((36*x^3)+(291*x^2)+(340*x)+178))/(x^4+x^3+x^2+x+1)^4))))+(-(-(-(((1/16000)*(x^3-x^2))/((((x^4-x^3)+x^2)-x)+1)^4))))+(-(-(91/4000000/(x+1)^3)))+(-(-(6097/400000/(x-1)^3)))+(-(-(((1/40000)*((4*x^3)+(7*x^2)+(4*x)))/(x^4+x^3+x^2+x+1)^5)))+(-(1/4000000/(x+1)^4))+(-(1421/2000000/(x-1)^4))+(-(9/500000/(x-1)^5))))))+(1/(x-1)^2)+(1/(x-1)^4))
A257464 = ((12500000*integrate((A001306+(-((-(((1/20)*(((8*x^39)+(8*x^38)+(8*x^37)+(8*x^36)+(8*x^35)+(11*x^34)+(11*x^33)+(11*x^32)+(11*x^31)+(11*x^30)+(6*x^29)+(6*x^28)+(6*x^27)+(6*x^26)+(6*x^25)+(3*x^24)+(3*x^23)+(3*x^22)+(3*x^21)+(3*x^20)+(8*x^19)+(8*x^18)+(8*x^17)+(8*x^16)+(8*x^15)+(8*x^14)+(8*x^13)+(8*x^12)+(8*x^11)+(8*x^10))-(4*x^4)-(4*x^3)-(4*x^2)-(4*x)-4))/((((x^40-x^30)+x^20)-x^10)+1)))+(-(-(-(-(-(-(((1/1000)*((58*x^19)+(58*x^18)+(58*x^17)+(58*x^16)+(58*x^15)+(105*x^14)+(105*x^13)+(105*x^12)+(105*x^11)+(105*x^10)+(71*x^9)+(71*x^8)+(71*x^7)+(71*x^6)+(71*x^5)+(41*x^4)+(41*x^3)+(41*x^2)+(41*x)+41))/(x^20+x^15+x^10+x^5+1))))))))+(-(-(-(-(-(-(((1/200)*(((((30*x^19)+(30*x^18)+(30*x^17)+(30*x^16)+(30*x^15))-(35*x^14)-(35*x^13)-(35*x^12)-(35*x^11)-(35*x^10))+(9*x^9)+(9*x^8)+(9*x^7)+(9*x^6)+(9*x^5))-(39*x^4)-(39*x^3)-(39*x^2)-(39*x)-39))/((((x^20-x^15)+x^10)-x^5)+1))))))))+(-(-(-(-(-(-(((1/8000)*((((358*x^7)+(447*x^6)+(182*x^5)+(6*x^4)+(180*x^3)+(16*x^2))-(69*x))+12))/((((x^8-x^6)+x^4)-x^2)+1))))))))+(-(-(-(-(-(-(((1/80000000)*((26597366*x^3)+(39867053*x^2)+(41028461*x)+31244150))/(x^4+x^3+x^2+x+1))))))))+(-(-(-(-(-(-(((1/16000000)*((1125154*x^3)+(622627*x^2)+(531293*x)+1188446))/((((x^4-x^3)+x^2)-x)+1))))))))+(-(-(-(-(-(-(((1/8000)*((92*x)+3))/(x^2+1))))))))+(-(-(-(-(-(-(((1/200)*(((3*x^19)+(3*x^18)+(3*x^17)+(3*x^16)+(3*x^15)+(3*x^14)+(3*x^13)+(3*x^12)+(3*x^11)+(3*x^10))-x^4-x^3-x^2-x-1))/(x^20+x^15+x^10+x^5+1)^2)))))))+(-(-(-(-(-(-(((1/40)*((x^19+x^18+x^17+x^16+x^15)-x^14-x^13-x^12-x^11-x^10-x^4-x^3-x^2-x-1))/((((x^20-x^15)+x^10)-x^5)+1)^2)))))))+(-(-(-(-(-(-(((1/800)*(((x^7+x^6+(2*x^5)+(3*x^4)+x^3)-(2*x^2))+1))/((((x^8-x^6)+x^4)-x^2)+1)^2)))))))+(-(-(-(-(-(-(((1/10000000)*((1452660*x^3)+(1520478*x^2)+(896319*x)+239303))/(x^4+x^3+x^2+x+1)^2)))))))+(-(-(-(-(-(-(((1/1600000)*((((720*x^3)-(27330*x^2))+(14383*x))-27680))/((((x^4-x^3)+x^2)-x)+1)^2)))))))+(-(-(-(-(-(79649/4000000/(x+1)))))))+(-(-(-(-(-(5739029/20000000/(x-1)))))))+(-(-(-(-(((1/4000)*x)/(x^2+1)^2)))))+(-(-(-(-(((1/2000000)*(((35137*x^3)+(4550*x^2))-(27761*x)-29801))/(x^4+x^3+x^2+x+1)^3)))))+(-(-(-(-(((1/160000)*((((177*x^3)-(350*x^2))+(181*x))-181))/((((x^4-x^3)+x^2)-x)+1)^3)))))+(-(-(-(2913/3200000/(x+1)^2))))+(-(-(-(13327679/80000000/(x-1)^2))))+(-(-(-(((1/100000)*((36*x^3)+(291*x^2)+(340*x)+178))/(x^4+x^3+x^2+x+1)^4))))+(-(-(-(((1/16000)*(x^3-x^2))/((((x^4-x^3)+x^2)-x)+1)^4))))+(-(-(91/4000000/(x+1)^3)))+(-(-(6097/400000/(x-1)^3)))+(-(-(((1/40000)*((4*x^3)+(7*x^2)+(4*x)))/(x^4+x^3+x^2+x+1)^5)))+(-(1/4000000/(x+1)^4))+(-(1421/2000000/(x-1)^4))+(-(9/500000/(x-1)^5)))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(7/24/(x-1)^3))+(-(1/2/(x-1)^4)))
A257201 = (((-(5000000/3))*differential((A001306+(-((-(((1/20)*(((8*x^39)+(8*x^38)+(8*x^37)+(8*x^36)+(8*x^35)+(11*x^34)+(11*x^33)+(11*x^32)+(11*x^31)+(11*x^30)+(6*x^29)+(6*x^28)+(6*x^27)+(6*x^26)+(6*x^25)+(3*x^24)+(3*x^23)+(3*x^22)+(3*x^21)+(3*x^20)+(8*x^19)+(8*x^18)+(8*x^17)+(8*x^16)+(8*x^15)+(8*x^14)+(8*x^13)+(8*x^12)+(8*x^11)+(8*x^10))-(4*x^4)-(4*x^3)-(4*x^2)-(4*x)-4))/((((x^40-x^30)+x^20)-x^10)+1)))+(-(-(-(-(-(-(((1/1000)*((58*x^19)+(58*x^18)+(58*x^17)+(58*x^16)+(58*x^15)+(105*x^14)+(105*x^13)+(105*x^12)+(105*x^11)+(105*x^10)+(71*x^9)+(71*x^8)+(71*x^7)+(71*x^6)+(71*x^5)+(41*x^4)+(41*x^3)+(41*x^2)+(41*x)+41))/(x^20+x^15+x^10+x^5+1))))))))+(-(-(-(-(-(-(((1/200)*(((((30*x^19)+(30*x^18)+(30*x^17)+(30*x^16)+(30*x^15))-(35*x^14)-(35*x^13)-(35*x^12)-(35*x^11)-(35*x^10))+(9*x^9)+(9*x^8)+(9*x^7)+(9*x^6)+(9*x^5))-(39*x^4)-(39*x^3)-(39*x^2)-(39*x)-39))/((((x^20-x^15)+x^10)-x^5)+1))))))))+(-(-(-(-(-(-(((1/8000)*((((358*x^7)+(447*x^6)+(182*x^5)+(6*x^4)+(180*x^3)+(16*x^2))-(69*x))+12))/((((x^8-x^6)+x^4)-x^2)+1))))))))+(-(-(-(-(-(-(((1/80000000)*((26597366*x^3)+(39867053*x^2)+(41028461*x)+31244150))/(x^4+x^3+x^2+x+1))))))))+(-(-(-(-(-(-(((1/16000000)*((1125154*x^3)+(622627*x^2)+(531293*x)+1188446))/((((x^4-x^3)+x^2)-x)+1))))))))+(-(-(-(-(-(-(((1/8000)*((92*x)+3))/(x^2+1))))))))+(-(-(-(-(-(-(((1/200)*(((3*x^19)+(3*x^18)+(3*x^17)+(3*x^16)+(3*x^15)+(3*x^14)+(3*x^13)+(3*x^12)+(3*x^11)+(3*x^10))-x^4-x^3-x^2-x-1))/(x^20+x^15+x^10+x^5+1)^2)))))))+(-(-(-(-(-(-(((1/40)*((x^19+x^18+x^17+x^16+x^15)-x^14-x^13-x^12-x^11-x^10-x^4-x^3-x^2-x-1))/((((x^20-x^15)+x^10)-x^5)+1)^2)))))))+(-(-(-(-(-(-(((1/800)*(((x^7+x^6+(2*x^5)+(3*x^4)+x^3)-(2*x^2))+1))/((((x^8-x^6)+x^4)-x^2)+1)^2)))))))+(-(-(-(-(-(-(((1/10000000)*((1452660*x^3)+(1520478*x^2)+(896319*x)+239303))/(x^4+x^3+x^2+x+1)^2)))))))+(-(-(-(-(-(-(((1/1600000)*((((720*x^3)-(27330*x^2))+(14383*x))-27680))/((((x^4-x^3)+x^2)-x)+1)^2)))))))+(-(-(-(-(-(79649/4000000/(x+1)))))))+(-(-(-(-(-(5739029/20000000/(x-1)))))))+(-(-(-(-(((1/4000)*x)/(x^2+1)^2)))))+(-(-(-(-(((1/2000000)*(((35137*x^3)+(4550*x^2))-(27761*x)-29801))/(x^4+x^3+x^2+x+1)^3)))))+(-(-(-(-(((1/160000)*((((177*x^3)-(350*x^2))+(181*x))-181))/((((x^4-x^3)+x^2)-x)+1)^3)))))+(-(-(-(2913/3200000/(x+1)^2))))+(-(-(-(13327679/80000000/(x-1)^2))))+(-(-(-(((1/100000)*((36*x^3)+(291*x^2)+(340*x)+178))/(x^4+x^3+x^2+x+1)^4))))+(-(-(-(((1/16000)*(x^3-x^2))/((((x^4-x^3)+x^2)-x)+1)^4))))+(-(-(91/4000000/(x+1)^3)))+(-(-(6097/400000/(x-1)^3)))+(-(-(((1/40000)*((4*x^3)+(7*x^2)+(4*x)))/(x^4+x^3+x^2+x+1)^5)))+(-(1/4000000/(x+1)^4))+(-(1421/2000000/(x-1)^4))+(-(9/500000/(x-1)^5)))))))+(1/(x-1)^5)+(2/(x-1)^6)+(1/(x-1)^8))
A257850 = (((128/231)*differential((A001307+(-((-(((1/20)*(((8*x^7)+(11*x^6)+(6*x^5)+(3*x^4)+(8*x^3)+(8*x^2))-4))/((((x^8-x^6)+x^4)-x^2)+1)))+(-(-(((1/1000)*((58*x^3)+(105*x^2)+(71*x)+41))/(x^4+x^3+x^2+x+1))))+(-(-(((1/200)*((((30*x^3)-(35*x^2))+(9*x))-39))/((((x^4-x^3)+x^2)-x)+1))))+(-(-(((1/320)*((18*x)+1))/(x^2+1))))+(-(-(((1/200)*(((3*x^3)+(3*x^2))-1))/(x^4+x^3+x^2+x+1)^2)))+(-(-(((1/40)*(x^3-x^2-1))/((((x^4-x^3)+x^2)-x)+1)^2)))+(-(-(2913/64000/(x-1))))+(-(-(((1/160)*x)/(x^2+1)^2)))+(-(-(21/1024/(x+1)^2)))+(-(-(70283/128000/(x-1)^2)))+(-(-(17/6400/(x+1)^3)))+(-(-(901/3200/(x-1)^3)))+(-(1/6400/(x+1)^4))+(-(229/3200/(x-1)^4))+(-(1/100/(x-1)^5))+(1/1600/(x-1)^6))))))+(((1/5)*((15*x^3)+(4*x^2)+(8*x)+9))/((((x^4-x^3)+x^2)-x)+1))+(-(-(((1/5)*((11*x^3)+(16*x^2)+(15*x)+8))/(x^4+x^3+x^2+x+1))))+(-(-(((1/2)*((2*x^3)+(2*x^2)+x))/(x^4+x^3+x^2+x+1)^2)))+(-(-(((1/2)*(((2*x^2)-x)+2))/((((x^4-x^3)+x^2)-x)+1)^2)))+(-(1/2/(x+1)))+(-(33/10/(x-1)))+(9/20/(x-1)^2))
A257890 = (((-(64000/2913))*differential((A001307+(-((-(((1/20)*(((8*x^7)+(11*x^6)+(6*x^5)+(3*x^4)+(8*x^3)+(8*x^2))-4))/((((x^8-x^6)+x^4)-x^2)+1)))+(-(-(((1/1000)*((58*x^3)+(105*x^2)+(71*x)+41))/(x^4+x^3+x^2+x+1))))+(-(-(((1/200)*((((30*x^3)-(35*x^2))+(9*x))-39))/((((x^4-x^3)+x^2)-x)+1))))+(-(-(((1/320)*((18*x)+1))/(x^2+1))))+(-(-(((1/200)*(((3*x^3)+(3*x^2))-1))/(x^4+x^3+x^2+x+1)^2)))+(-(-(((1/40)*(x^3-x^2-1))/((((x^4-x^3)+x^2)-x)+1)^2)))+(-(-(231/2560/(x+1))))+(-(-(((1/160)*x)/(x^2+1)^2)))+(-(-(21/1024/(x+1)^2)))+(-(-(70283/128000/(x-1)^2)))+(-(-(17/6400/(x+1)^3)))+(-(-(901/3200/(x-1)^3)))+(-(1/6400/(x+1)^4))+(-(229/3200/(x-1)^4))+(-(1/100/(x-1)^5))+(1/1600/(x-1)^6))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257196 = (((-(320*x))*integrate((A001307+(-((-(((1/20)*(((8*x^7)+(11*x^6)+(6*x^5)+(3*x^4)+(8*x^3)+(8*x^2))-4))/((((x^8-x^6)+x^4)-x^2)+1)))+(-(-(((1/1000)*((58*x^3)+(105*x^2)+(71*x)+41))/(x^4+x^3+x^2+x+1))))+(-(-(((1/200)*((((30*x^3)-(35*x^2))+(9*x))-39))/((((x^4-x^3)+x^2)-x)+1))))+(-(-(((1/320)*((18*x)+1))/(x^2+1))))+(-(-(((1/200)*(((3*x^3)+(3*x^2))-1))/(x^4+x^3+x^2+x+1)^2)))+(-(-(((1/40)*(x^3-x^2-1))/((((x^4-x^3)+x^2)-x)+1)^2)))+(-(-(231/2560/(x+1))))+(-(-(2913/64000/(x-1))))+(-(-(21/1024/(x+1)^2)))+(-(-(70283/128000/(x-1)^2)))+(-(-(17/6400/(x+1)^3)))+(-(-(901/3200/(x-1)^3)))+(-(1/6400/(x+1)^4))+(-(229/3200/(x-1)^4))+(-(1/100/(x-1)^5))+(1/1600/(x-1)^6))))))+(-(x^2/(x^4+1)))+1)
A257850 = (((-(256/105))*(A001307+(-((-(((1/20)*(((8*x^7)+(11*x^6)+(6*x^5)+(3*x^4)+(8*x^3)+(8*x^2))-4))/((((x^8-x^6)+x^4)-x^2)+1)))+(-(-(((1/1000)*((58*x^3)+(105*x^2)+(71*x)+41))/(x^4+x^3+x^2+x+1))))+(-(-(((1/200)*((((30*x^3)-(35*x^2))+(9*x))-39))/((((x^4-x^3)+x^2)-x)+1))))+(-(-(((1/320)*((18*x)+1))/(x^2+1))))+(-(-(((1/200)*(((3*x^3)+(3*x^2))-1))/(x^4+x^3+x^2+x+1)^2)))+(-(-(((1/40)*(x^3-x^2-1))/((((x^4-x^3)+x^2)-x)+1)^2)))+(-(-(231/2560/(x+1))))+(-(-(2913/64000/(x-1))))+(-(-(((1/160)*x)/(x^2+1)^2)))+(-(-(70283/128000/(x-1)^2)))+(-(-(17/6400/(x+1)^3)))+(-(-(901/3200/(x-1)^3)))+(-(1/6400/(x+1)^4))+(-(229/3200/(x-1)^4))+(-(1/100/(x-1)^5))+(1/1600/(x-1)^6)))))+(((1/5)*((15*x^3)+(4*x^2)+(8*x)+9))/((((x^4-x^3)+x^2)-x)+1))+(-(-(((1/5)*((11*x^3)+(16*x^2)+(15*x)+8))/(x^4+x^3+x^2+x+1))))+(-(-(((1/2)*((2*x^3)+(2*x^2)+x))/(x^4+x^3+x^2+x+1)^2)))+(-(-(((1/2)*(((2*x^2)-x)+2))/((((x^4-x^3)+x^2)-x)+1)^2)))+(-(1/2/(x+1)))+(-(33/10/(x-1)))+(9/20/(x-1)^2))
A257171 = (((64/21)*differential((A001307+(-((-(((1/20)*(((8*x^7)+(11*x^6)+(6*x^5)+(3*x^4)+(8*x^3)+(8*x^2))-4))/((((x^8-x^6)+x^4)-x^2)+1)))+(-(-(((1/1000)*((58*x^3)+(105*x^2)+(71*x)+41))/(x^4+x^3+x^2+x+1))))+(-(-(((1/200)*((((30*x^3)-(35*x^2))+(9*x))-39))/((((x^4-x^3)+x^2)-x)+1))))+(-(-(((1/320)*((18*x)+1))/(x^2+1))))+(-(-(((1/200)*(((3*x^3)+(3*x^2))-1))/(x^4+x^3+x^2+x+1)^2)))+(-(-(((1/40)*(x^3-x^2-1))/((((x^4-x^3)+x^2)-x)+1)^2)))+(-(-(231/2560/(x+1))))+(-(-(2913/64000/(x-1))))+(-(-(((1/160)*x)/(x^2+1)^2)))+(-(-(70283/128000/(x-1)^2)))+(-(-(17/6400/(x+1)^3)))+(-(-(901/3200/(x-1)^3)))+(-(1/6400/(x+1)^4))+(-(229/3200/(x-1)^4))+(-(1/100/(x-1)^5))+(1/1600/(x-1)^6))))))+(2*x)+(-(-(3/8/(x+1))))+(-(-(3/8/(x-1))))+(-(3/4/(x-1)^2))+(-(3/8/(x-1)^3))+(-(3/4/(x-1)^4))+(-1))
A257890 = (((128000/70283)*(A001307+(-((-(((1/20)*(((8*x^7)+(11*x^6)+(6*x^5)+(3*x^4)+(8*x^3)+(8*x^2))-4))/((((x^8-x^6)+x^4)-x^2)+1)))+(-(-(((1/1000)*((58*x^3)+(105*x^2)+(71*x)+41))/(x^4+x^3+x^2+x+1))))+(-(-(((1/200)*((((30*x^3)-(35*x^2))+(9*x))-39))/((((x^4-x^3)+x^2)-x)+1))))+(-(-(((1/320)*((18*x)+1))/(x^2+1))))+(-(-(((1/200)*(((3*x^3)+(3*x^2))-1))/(x^4+x^3+x^2+x+1)^2)))+(-(-(((1/40)*(x^3-x^2-1))/((((x^4-x^3)+x^2)-x)+1)^2)))+(-(-(231/2560/(x+1))))+(-(-(2913/64000/(x-1))))+(-(-(((1/160)*x)/(x^2+1)^2)))+(-(-(21/1024/(x+1)^2)))+(-(-(17/6400/(x+1)^3)))+(-(-(901/3200/(x-1)^3)))+(-(1/6400/(x+1)^4))+(-(229/3200/(x-1)^4))+(-(1/100/(x-1)^5))+(1/1600/(x-1)^6)))))+(1/(x-1)^4)+(1/(x-1)^6))
A257464 = (((56000/210849)*differential((A001307+(-((-(((1/20)*(((8*x^7)+(11*x^6)+(6*x^5)+(3*x^4)+(8*x^3)+(8*x^2))-4))/((((x^8-x^6)+x^4)-x^2)+1)))+(-(-(((1/1000)*((58*x^3)+(105*x^2)+(71*x)+41))/(x^4+x^3+x^2+x+1))))+(-(-(((1/200)*((((30*x^3)-(35*x^2))+(9*x))-39))/((((x^4-x^3)+x^2)-x)+1))))+(-(-(((1/320)*((18*x)+1))/(x^2+1))))+(-(-(((1/200)*(((3*x^3)+(3*x^2))-1))/(x^4+x^3+x^2+x+1)^2)))+(-(-(((1/40)*(x^3-x^2-1))/((((x^4-x^3)+x^2)-x)+1)^2)))+(-(-(231/2560/(x+1))))+(-(-(2913/64000/(x-1))))+(-(-(((1/160)*x)/(x^2+1)^2)))+(-(-(21/1024/(x+1)^2)))+(-(-(17/6400/(x+1)^3)))+(-(-(901/3200/(x-1)^3)))+(-(1/6400/(x+1)^4))+(-(229/3200/(x-1)^4))+(-(1/100/(x-1)^5))+(1/1600/(x-1)^6))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257171 = (((-(800/17))*(A001307+(-((-(((1/20)*(((8*x^7)+(11*x^6)+(6*x^5)+(3*x^4)+(8*x^3)+(8*x^2))-4))/((((x^8-x^6)+x^4)-x^2)+1)))+(-(-(((1/1000)*((58*x^3)+(105*x^2)+(71*x)+41))/(x^4+x^3+x^2+x+1))))+(-(-(((1/200)*((((30*x^3)-(35*x^2))+(9*x))-39))/((((x^4-x^3)+x^2)-x)+1))))+(-(-(((1/320)*((18*x)+1))/(x^2+1))))+(-(-(((1/200)*(((3*x^3)+(3*x^2))-1))/(x^4+x^3+x^2+x+1)^2)))+(-(-(((1/40)*(x^3-x^2-1))/((((x^4-x^3)+x^2)-x)+1)^2)))+(-(-(231/2560/(x+1))))+(-(-(2913/64000/(x-1))))+(-(-(((1/160)*x)/(x^2+1)^2)))+(-(-(21/1024/(x+1)^2)))+(-(-(70283/128000/(x-1)^2)))+(-(-(901/3200/(x-1)^3)))+(-(1/6400/(x+1)^4))+(-(229/3200/(x-1)^4))+(-(1/100/(x-1)^5))+(1/1600/(x-1)^6)))))+(2*x)+(-(-(3/8/(x+1))))+(-(-(3/8/(x-1))))+(-(3/4/(x-1)^2))+(-(3/8/(x-1)^3))+(-(3/4/(x-1)^4))+(-1))
A257850 = (((640/17)*integrate((A001307+(-((-(((1/20)*(((8*x^7)+(11*x^6)+(6*x^5)+(3*x^4)+(8*x^3)+(8*x^2))-4))/((((x^8-x^6)+x^4)-x^2)+1)))+(-(-(((1/1000)*((58*x^3)+(105*x^2)+(71*x)+41))/(x^4+x^3+x^2+x+1))))+(-(-(((1/200)*((((30*x^3)-(35*x^2))+(9*x))-39))/((((x^4-x^3)+x^2)-x)+1))))+(-(-(((1/320)*((18*x)+1))/(x^2+1))))+(-(-(((1/200)*(((3*x^3)+(3*x^2))-1))/(x^4+x^3+x^2+x+1)^2)))+(-(-(((1/40)*(x^3-x^2-1))/((((x^4-x^3)+x^2)-x)+1)^2)))+(-(-(231/2560/(x+1))))+(-(-(2913/64000/(x-1))))+(-(-(((1/160)*x)/(x^2+1)^2)))+(-(-(21/1024/(x+1)^2)))+(-(-(70283/128000/(x-1)^2)))+(-(-(901/3200/(x-1)^3)))+(-(1/6400/(x+1)^4))+(-(229/3200/(x-1)^4))+(-(1/100/(x-1)^5))+(1/1600/(x-1)^6))))))+(((1/5)*((15*x^3)+(4*x^2)+(8*x)+9))/((((x^4-x^3)+x^2)-x)+1))+(-(-(((1/5)*((11*x^3)+(16*x^2)+(15*x)+8))/(x^4+x^3+x^2+x+1))))+(-(-(((1/2)*((2*x^3)+(2*x^2)+x))/(x^4+x^3+x^2+x+1)^2)))+(-(-(((1/2)*(((2*x^2)-x)+2))/((((x^4-x^3)+x^2)-x)+1)^2)))+(-(1/2/(x+1)))+(-(33/10/(x-1)))+(9/20/(x-1)^2))
A254233 = (((-(50/51))*differential((A001307+(-((-(((1/20)*(((8*x^7)+(11*x^6)+(6*x^5)+(3*x^4)+(8*x^3)+(8*x^2))-4))/((((x^8-x^6)+x^4)-x^2)+1)))+(-(-(((1/1000)*((58*x^3)+(105*x^2)+(71*x)+41))/(x^4+x^3+x^2+x+1))))+(-(-(((1/200)*((((30*x^3)-(35*x^2))+(9*x))-39))/((((x^4-x^3)+x^2)-x)+1))))+(-(-(((1/320)*((18*x)+1))/(x^2+1))))+(-(-(((1/200)*(((3*x^3)+(3*x^2))-1))/(x^4+x^3+x^2+x+1)^2)))+(-(-(((1/40)*(x^3-x^2-1))/((((x^4-x^3)+x^2)-x)+1)^2)))+(-(-(231/2560/(x+1))))+(-(-(2913/64000/(x-1))))+(-(-(((1/160)*x)/(x^2+1)^2)))+(-(-(21/1024/(x+1)^2)))+(-(-(70283/128000/(x-1)^2)))+(-(-(901/3200/(x-1)^3)))+(-(1/6400/(x+1)^4))+(-(229/3200/(x-1)^4))+(-(1/100/(x-1)^5))+(1/1600/(x-1)^6))))))+(((1/972)*((113*x)+137))/(x^2+x+1))+(-(-(-(-(-(((1/12)*(x-1))/((x^2-x)+1)))))))+(-(-(-(-(3/32/(x^2+1))))))+(-(-(-(-(((1/162)*((12*x)+11))/(x^2+x+1)^2)))))+(-(-(-(-(41/384/(x+1))))))+(-(-(-(-(4345/31104/(x-1))))))+(-(-(-(83/1536/(x+1)^2))))+(-(-(-(9205/124416/(x-1)^2))))+(-(-(-(((1/27)*x)/(x^2+x+1)^3))))+(-(-(-(3/128/(x+1)^3))))+(-(-(-(3/64/(x-1)^3))))+(-(-(23/576/(x-1)^4)))+(-(-(5/144/(x-1)^5)))+(-(1/32/(x-1)^6))+(-(1/36/(x-1)^7))+(1/36/(x-1)^8))
A257464 = (((-(2800/2703))*(A001307+(-((-(((1/20)*(((8*x^7)+(11*x^6)+(6*x^5)+(3*x^4)+(8*x^3)+(8*x^2))-4))/((((x^8-x^6)+x^4)-x^2)+1)))+(-(-(((1/1000)*((58*x^3)+(105*x^2)+(71*x)+41))/(x^4+x^3+x^2+x+1))))+(-(-(((1/200)*((((30*x^3)-(35*x^2))+(9*x))-39))/((((x^4-x^3)+x^2)-x)+1))))+(-(-(((1/320)*((18*x)+1))/(x^2+1))))+(-(-(((1/200)*(((3*x^3)+(3*x^2))-1))/(x^4+x^3+x^2+x+1)^2)))+(-(-(((1/40)*(x^3-x^2-1))/((((x^4-x^3)+x^2)-x)+1)^2)))+(-(-(231/2560/(x+1))))+(-(-(2913/64000/(x-1))))+(-(-(((1/160)*x)/(x^2+1)^2)))+(-(-(21/1024/(x+1)^2)))+(-(-(70283/128000/(x-1)^2)))+(-(-(17/6400/(x+1)^3)))+(-(1/6400/(x+1)^4))+(-(229/3200/(x-1)^4))+(-(1/100/(x-1)^5))+(1/1600/(x-1)^6)))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257890 = (((-(6400/901))*integrate((A001307+(-((-(((1/20)*(((8*x^7)+(11*x^6)+(6*x^5)+(3*x^4)+(8*x^3)+(8*x^2))-4))/((((x^8-x^6)+x^4)-x^2)+1)))+(-(-(((1/1000)*((58*x^3)+(105*x^2)+(71*x)+41))/(x^4+x^3+x^2+x+1))))+(-(-(((1/200)*((((30*x^3)-(35*x^2))+(9*x))-39))/((((x^4-x^3)+x^2)-x)+1))))+(-(-(((1/320)*((18*x)+1))/(x^2+1))))+(-(-(((1/200)*(((3*x^3)+(3*x^2))-1))/(x^4+x^3+x^2+x+1)^2)))+(-(-(((1/40)*(x^3-x^2-1))/((((x^4-x^3)+x^2)-x)+1)^2)))+(-(-(231/2560/(x+1))))+(-(-(2913/64000/(x-1))))+(-(-(((1/160)*x)/(x^2+1)^2)))+(-(-(21/1024/(x+1)^2)))+(-(-(70283/128000/(x-1)^2)))+(-(-(17/6400/(x+1)^3)))+(-(1/6400/(x+1)^4))+(-(229/3200/(x-1)^4))+(-(1/100/(x-1)^5))+(1/1600/(x-1)^6))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257890 = (((-(3200/2703))*differential((A001307+(-((-(((1/20)*(((8*x^7)+(11*x^6)+(6*x^5)+(3*x^4)+(8*x^3)+(8*x^2))-4))/((((x^8-x^6)+x^4)-x^2)+1)))+(-(-(((1/1000)*((58*x^3)+(105*x^2)+(71*x)+41))/(x^4+x^3+x^2+x+1))))+(-(-(((1/200)*((((30*x^3)-(35*x^2))+(9*x))-39))/((((x^4-x^3)+x^2)-x)+1))))+(-(-(((1/320)*((18*x)+1))/(x^2+1))))+(-(-(((1/200)*(((3*x^3)+(3*x^2))-1))/(x^4+x^3+x^2+x+1)^2)))+(-(-(((1/40)*(x^3-x^2-1))/((((x^4-x^3)+x^2)-x)+1)^2)))+(-(-(231/2560/(x+1))))+(-(-(2913/64000/(x-1))))+(-(-(((1/160)*x)/(x^2+1)^2)))+(-(-(21/1024/(x+1)^2)))+(-(-(70283/128000/(x-1)^2)))+(-(-(17/6400/(x+1)^3)))+(-(1/6400/(x+1)^4))+(-(229/3200/(x-1)^4))+(-(1/100/(x-1)^5))+(1/1600/(x-1)^6))))))+(1/(x-1)^2)+(1/(x-1)^6))
A254233 = (((-50)*(A001307+(-((-(((1/20)*(((8*x^7)+(11*x^6)+(6*x^5)+(3*x^4)+(8*x^3)+(8*x^2))-4))/((((x^8-x^6)+x^4)-x^2)+1)))+(-(-(((1/1000)*((58*x^3)+(105*x^2)+(71*x)+41))/(x^4+x^3+x^2+x+1))))+(-(-(((1/200)*((((30*x^3)-(35*x^2))+(9*x))-39))/((((x^4-x^3)+x^2)-x)+1))))+(-(-(((1/320)*((18*x)+1))/(x^2+1))))+(-(-(((1/200)*(((3*x^3)+(3*x^2))-1))/(x^4+x^3+x^2+x+1)^2)))+(-(-(((1/40)*(x^3-x^2-1))/((((x^4-x^3)+x^2)-x)+1)^2)))+(-(-(231/2560/(x+1))))+(-(-(2913/64000/(x-1))))+(-(-(((1/160)*x)/(x^2+1)^2)))+(-(-(21/1024/(x+1)^2)))+(-(-(70283/128000/(x-1)^2)))+(-(-(17/6400/(x+1)^3)))+(-(-(901/3200/(x-1)^3)))+(-(229/3200/(x-1)^4))+(-(1/100/(x-1)^5))+(1/1600/(x-1)^6)))))+(((1/972)*((113*x)+137))/(x^2+x+1))+(-(-(-(-(-(((1/12)*(x-1))/((x^2-x)+1)))))))+(-(-(-(-(3/32/(x^2+1))))))+(-(-(-(-(((1/162)*((12*x)+11))/(x^2+x+1)^2)))))+(-(-(-(-(41/384/(x+1))))))+(-(-(-(-(4345/31104/(x-1))))))+(-(-(-(83/1536/(x+1)^2))))+(-(-(-(9205/124416/(x-1)^2))))+(-(-(-(((1/27)*x)/(x^2+x+1)^3))))+(-(-(-(3/128/(x+1)^3))))+(-(-(-(3/64/(x-1)^3))))+(-(-(23/576/(x-1)^4)))+(-(-(5/144/(x-1)^5)))+(-(1/32/(x-1)^6))+(-(1/36/(x-1)^7))+(1/36/(x-1)^8))
A257171 = (((-2400)*integrate((A001307+(-((-(((1/20)*(((8*x^7)+(11*x^6)+(6*x^5)+(3*x^4)+(8*x^3)+(8*x^2))-4))/((((x^8-x^6)+x^4)-x^2)+1)))+(-(-(((1/1000)*((58*x^3)+(105*x^2)+(71*x)+41))/(x^4+x^3+x^2+x+1))))+(-(-(((1/200)*((((30*x^3)-(35*x^2))+(9*x))-39))/((((x^4-x^3)+x^2)-x)+1))))+(-(-(((1/320)*((18*x)+1))/(x^2+1))))+(-(-(((1/200)*(((3*x^3)+(3*x^2))-1))/(x^4+x^3+x^2+x+1)^2)))+(-(-(((1/40)*(x^3-x^2-1))/((((x^4-x^3)+x^2)-x)+1)^2)))+(-(-(231/2560/(x+1))))+(-(-(2913/64000/(x-1))))+(-(-(((1/160)*x)/(x^2+1)^2)))+(-(-(21/1024/(x+1)^2)))+(-(-(70283/128000/(x-1)^2)))+(-(-(17/6400/(x+1)^3)))+(-(-(901/3200/(x-1)^3)))+(-(229/3200/(x-1)^4))+(-(1/100/(x-1)^5))+(1/1600/(x-1)^6))))))+(2*x)+(-(-(3/8/(x+1))))+(-(-(3/8/(x-1))))+(-(3/4/(x-1)^2))+(-(3/8/(x-1)^3))+(-(3/4/(x-1)^4))+(-1))
A257890 = (((-(3200/229))*(A001307+(-((-(((1/20)*(((8*x^7)+(11*x^6)+(6*x^5)+(3*x^4)+(8*x^3)+(8*x^2))-4))/((((x^8-x^6)+x^4)-x^2)+1)))+(-(-(((1/1000)*((58*x^3)+(105*x^2)+(71*x)+41))/(x^4+x^3+x^2+x+1))))+(-(-(((1/200)*((((30*x^3)-(35*x^2))+(9*x))-39))/((((x^4-x^3)+x^2)-x)+1))))+(-(-(((1/320)*((18*x)+1))/(x^2+1))))+(-(-(((1/200)*(((3*x^3)+(3*x^2))-1))/(x^4+x^3+x^2+x+1)^2)))+(-(-(((1/40)*(x^3-x^2-1))/((((x^4-x^3)+x^2)-x)+1)^2)))+(-(-(231/2560/(x+1))))+(-(-(2913/64000/(x-1))))+(-(-(((1/160)*x)/(x^2+1)^2)))+(-(-(21/1024/(x+1)^2)))+(-(-(70283/128000/(x-1)^2)))+(-(-(17/6400/(x+1)^3)))+(-(-(901/3200/(x-1)^3)))+(-(1/6400/(x+1)^4))+(-(1/100/(x-1)^5))+(1/1600/(x-1)^6)))))+(1/(x-1)^2)+(1/(x-1)^6))
A257464 = (((-(2800/229))*integrate((A001307+(-((-(((1/20)*(((8*x^7)+(11*x^6)+(6*x^5)+(3*x^4)+(8*x^3)+(8*x^2))-4))/((((x^8-x^6)+x^4)-x^2)+1)))+(-(-(((1/1000)*((58*x^3)+(105*x^2)+(71*x)+41))/(x^4+x^3+x^2+x+1))))+(-(-(((1/200)*((((30*x^3)-(35*x^2))+(9*x))-39))/((((x^4-x^3)+x^2)-x)+1))))+(-(-(((1/320)*((18*x)+1))/(x^2+1))))+(-(-(((1/200)*(((3*x^3)+(3*x^2))-1))/(x^4+x^3+x^2+x+1)^2)))+(-(-(((1/40)*(x^3-x^2-1))/((((x^4-x^3)+x^2)-x)+1)^2)))+(-(-(231/2560/(x+1))))+(-(-(2913/64000/(x-1))))+(-(-(((1/160)*x)/(x^2+1)^2)))+(-(-(21/1024/(x+1)^2)))+(-(-(70283/128000/(x-1)^2)))+(-(-(17/6400/(x+1)^3)))+(-(-(901/3200/(x-1)^3)))+(-(1/6400/(x+1)^4))+(-(1/100/(x-1)^5))+(1/1600/(x-1)^6))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257464 = (((-(400/229))*differential((A001307+(-((-(((1/20)*(((8*x^7)+(11*x^6)+(6*x^5)+(3*x^4)+(8*x^3)+(8*x^2))-4))/((((x^8-x^6)+x^4)-x^2)+1)))+(-(-(((1/1000)*((58*x^3)+(105*x^2)+(71*x)+41))/(x^4+x^3+x^2+x+1))))+(-(-(((1/200)*((((30*x^3)-(35*x^2))+(9*x))-39))/((((x^4-x^3)+x^2)-x)+1))))+(-(-(((1/320)*((18*x)+1))/(x^2+1))))+(-(-(((1/200)*(((3*x^3)+(3*x^2))-1))/(x^4+x^3+x^2+x+1)^2)))+(-(-(((1/40)*(x^3-x^2-1))/((((x^4-x^3)+x^2)-x)+1)^2)))+(-(-(231/2560/(x+1))))+(-(-(2913/64000/(x-1))))+(-(-(((1/160)*x)/(x^2+1)^2)))+(-(-(21/1024/(x+1)^2)))+(-(-(70283/128000/(x-1)^2)))+(-(-(17/6400/(x+1)^3)))+(-(-(901/3200/(x-1)^3)))+(-(1/6400/(x+1)^4))+(-(1/100/(x-1)^5))+(1/1600/(x-1)^6))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(7/24/(x-1)^3))+(-(1/2/(x-1)^4)))
A257464 = ((50*(A001307+(-((-(((1/20)*(((8*x^7)+(11*x^6)+(6*x^5)+(3*x^4)+(8*x^3)+(8*x^2))-4))/((((x^8-x^6)+x^4)-x^2)+1)))+(-(-(((1/1000)*((58*x^3)+(105*x^2)+(71*x)+41))/(x^4+x^3+x^2+x+1))))+(-(-(((1/200)*((((30*x^3)-(35*x^2))+(9*x))-39))/((((x^4-x^3)+x^2)-x)+1))))+(-(-(((1/320)*((18*x)+1))/(x^2+1))))+(-(-(((1/200)*(((3*x^3)+(3*x^2))-1))/(x^4+x^3+x^2+x+1)^2)))+(-(-(((1/40)*(x^3-x^2-1))/((((x^4-x^3)+x^2)-x)+1)^2)))+(-(-(231/2560/(x+1))))+(-(-(2913/64000/(x-1))))+(-(-(((1/160)*x)/(x^2+1)^2)))+(-(-(21/1024/(x+1)^2)))+(-(-(70283/128000/(x-1)^2)))+(-(-(17/6400/(x+1)^3)))+(-(-(901/3200/(x-1)^3)))+(-(1/6400/(x+1)^4))+(-(229/3200/(x-1)^4))+(1/1600/(x-1)^6)))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(7/24/(x-1)^3))+(-(1/2/(x-1)^4)))
A257890 = ((400*integrate((A001307+(-((-(((1/20)*(((8*x^7)+(11*x^6)+(6*x^5)+(3*x^4)+(8*x^3)+(8*x^2))-4))/((((x^8-x^6)+x^4)-x^2)+1)))+(-(-(((1/1000)*((58*x^3)+(105*x^2)+(71*x)+41))/(x^4+x^3+x^2+x+1))))+(-(-(((1/200)*((((30*x^3)-(35*x^2))+(9*x))-39))/((((x^4-x^3)+x^2)-x)+1))))+(-(-(((1/320)*((18*x)+1))/(x^2+1))))+(-(-(((1/200)*(((3*x^3)+(3*x^2))-1))/(x^4+x^3+x^2+x+1)^2)))+(-(-(((1/40)*(x^3-x^2-1))/((((x^4-x^3)+x^2)-x)+1)^2)))+(-(-(231/2560/(x+1))))+(-(-(2913/64000/(x-1))))+(-(-(((1/160)*x)/(x^2+1)^2)))+(-(-(21/1024/(x+1)^2)))+(-(-(70283/128000/(x-1)^2)))+(-(-(17/6400/(x+1)^3)))+(-(-(901/3200/(x-1)^3)))+(-(1/6400/(x+1)^4))+(-(229/3200/(x-1)^4))+(1/1600/(x-1)^6))))))+(1/(x-1)^2)+(1/(x-1)^6))
A257890 = ((20*differential((A001307+(-((-(((1/20)*(((8*x^7)+(11*x^6)+(6*x^5)+(3*x^4)+(8*x^3)+(8*x^2))-4))/((((x^8-x^6)+x^4)-x^2)+1)))+(-(-(((1/1000)*((58*x^3)+(105*x^2)+(71*x)+41))/(x^4+x^3+x^2+x+1))))+(-(-(((1/200)*((((30*x^3)-(35*x^2))+(9*x))-39))/((((x^4-x^3)+x^2)-x)+1))))+(-(-(((1/320)*((18*x)+1))/(x^2+1))))+(-(-(((1/200)*(((3*x^3)+(3*x^2))-1))/(x^4+x^3+x^2+x+1)^2)))+(-(-(((1/40)*(x^3-x^2-1))/((((x^4-x^3)+x^2)-x)+1)^2)))+(-(-(231/2560/(x+1))))+(-(-(2913/64000/(x-1))))+(-(-(((1/160)*x)/(x^2+1)^2)))+(-(-(21/1024/(x+1)^2)))+(-(-(70283/128000/(x-1)^2)))+(-(-(17/6400/(x+1)^3)))+(-(-(901/3200/(x-1)^3)))+(-(1/6400/(x+1)^4))+(-(229/3200/(x-1)^4))+(1/1600/(x-1)^6))))))+(1/(x-1)^2)+(1/(x-1)^4))
A257890 = ((1600*(A001307+(-((-(((1/20)*(((8*x^7)+(11*x^6)+(6*x^5)+(3*x^4)+(8*x^3)+(8*x^2))-4))/((((x^8-x^6)+x^4)-x^2)+1)))+(-(-(((1/1000)*((58*x^3)+(105*x^2)+(71*x)+41))/(x^4+x^3+x^2+x+1))))+(-(-(((1/200)*((((30*x^3)-(35*x^2))+(9*x))-39))/((((x^4-x^3)+x^2)-x)+1))))+(-(-(((1/320)*((18*x)+1))/(x^2+1))))+(-(-(((1/200)*(((3*x^3)+(3*x^2))-1))/(x^4+x^3+x^2+x+1)^2)))+(-(-(((1/40)*(x^3-x^2-1))/((((x^4-x^3)+x^2)-x)+1)^2)))+(-(-(231/2560/(x+1))))+(-(-(2913/64000/(x-1))))+(-(-(((1/160)*x)/(x^2+1)^2)))+(-(-(21/1024/(x+1)^2)))+(-(-(70283/128000/(x-1)^2)))+(-(-(17/6400/(x+1)^3)))+(-(-(901/3200/(x-1)^3)))+(-(1/6400/(x+1)^4))+(-(229/3200/(x-1)^4))+(-(1/100/(x-1)^5))))))+(1/(x-1)^2)+(1/(x-1)^4))
A257464 = ((4000*integrate((A001307+(-((-(((1/20)*(((8*x^7)+(11*x^6)+(6*x^5)+(3*x^4)+(8*x^3)+(8*x^2))-4))/((((x^8-x^6)+x^4)-x^2)+1)))+(-(-(((1/1000)*((58*x^3)+(105*x^2)+(71*x)+41))/(x^4+x^3+x^2+x+1))))+(-(-(((1/200)*((((30*x^3)-(35*x^2))+(9*x))-39))/((((x^4-x^3)+x^2)-x)+1))))+(-(-(((1/320)*((18*x)+1))/(x^2+1))))+(-(-(((1/200)*(((3*x^3)+(3*x^2))-1))/(x^4+x^3+x^2+x+1)^2)))+(-(-(((1/40)*(x^3-x^2-1))/((((x^4-x^3)+x^2)-x)+1)^2)))+(-(-(231/2560/(x+1))))+(-(-(2913/64000/(x-1))))+(-(-(((1/160)*x)/(x^2+1)^2)))+(-(-(21/1024/(x+1)^2)))+(-(-(70283/128000/(x-1)^2)))+(-(-(17/6400/(x+1)^3)))+(-(-(901/3200/(x-1)^3)))+(-(1/6400/(x+1)^4))+(-(229/3200/(x-1)^4))+(-(1/100/(x-1)^5)))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(7/24/(x-1)^3))+(-(1/2/(x-1)^4)))
A257201 = (((-(1600/3))*differential((A001307+(-((-(((1/20)*(((8*x^7)+(11*x^6)+(6*x^5)+(3*x^4)+(8*x^3)+(8*x^2))-4))/((((x^8-x^6)+x^4)-x^2)+1)))+(-(-(((1/1000)*((58*x^3)+(105*x^2)+(71*x)+41))/(x^4+x^3+x^2+x+1))))+(-(-(((1/200)*((((30*x^3)-(35*x^2))+(9*x))-39))/((((x^4-x^3)+x^2)-x)+1))))+(-(-(((1/320)*((18*x)+1))/(x^2+1))))+(-(-(((1/200)*(((3*x^3)+(3*x^2))-1))/(x^4+x^3+x^2+x+1)^2)))+(-(-(((1/40)*(x^3-x^2-1))/((((x^4-x^3)+x^2)-x)+1)^2)))+(-(-(231/2560/(x+1))))+(-(-(2913/64000/(x-1))))+(-(-(((1/160)*x)/(x^2+1)^2)))+(-(-(21/1024/(x+1)^2)))+(-(-(70283/128000/(x-1)^2)))+(-(-(17/6400/(x+1)^3)))+(-(-(901/3200/(x-1)^3)))+(-(1/6400/(x+1)^4))+(-(229/3200/(x-1)^4))+(-(1/100/(x-1)^5)))))))+(1/(x-1)^5)+(2/(x-1)^6)+(1/(x-1)^8))
A257850 = (((2048000/2007607)*differential((A001310+(-((-(((1/10)*(((((51*x^39)+(51*x^38)+(44*x^37)+(44*x^36)+(36*x^35)+(36*x^34)+(28*x^33)+(28*x^32)+(19*x^31)+(19*x^30))-(41*x^29)-(41*x^28)-(44*x^27)-(44*x^26)-(46*x^25)-(46*x^24)-(47*x^23)-(47*x^22)-(47*x^21)-(47*x^20))+(5*x^19)+(5*x^18))-(5*x^15)-(5*x^14)-(10*x^13)-(10*x^12)-(15*x^11)-(15*x^10)-(71*x^9)-(71*x^8)-(69*x^7)-(69*x^6)-(66*x^5)-(66*x^4)-(62*x^3)-(62*x^2)-(57*x)-57))/((((x^40-x^30)+x^20)-x^10)+1)))+(-(-(-(-(-(((1/100)*(((((((((2*x^19)+(8*x^18)+x^17+(6*x^16))-(2*x^15))+(4*x^14)+(6*x^13)+(2*x^12)+(2*x^11))-(4*x^10))+x^9+(4*x^8))-(2*x^7)-(2*x^6)-(6*x^5)-(2*x^4))+(2*x^3))-(6*x^2)-x-8))/(x^20+x^15+x^10+x^5+1)))))))+(-(-(-(-(-(((1/100)*((6*x^18)+(13*x^17)+(18*x^16)+(26*x^15)+(30*x^14)+(28*x^13)+(24*x^12)+(24*x^11)+(18*x^10)+(15*x^9)+(18*x^8)+(24*x^7)+(24*x^6)+(28*x^5)+(30*x^4)+(26*x^3)+(18*x^2)+(13*x)+6))/((((x^20-x^15)+x^10)-x^5)+1)))))))+(-(-(-(-(-(((1/80)*(((9*x^15)+(9*x^14)+(16*x^13)+(16*x^12)+(12*x^11)+(12*x^10)+(8*x^9)+(8*x^8)+(12*x^7)+(12*x^6)+(13*x^5)+(13*x^4)+(4*x^3)+(4*x^2))-(4*x)-4))/((((x^16-x^12)+x^8)-x^4)+1)))))))+(-(-(-(-(((1/20000)*(((((3113*x^7)+(3113*x^6))-(2263*x^5)-(2263*x^4))+(765*x^3)+(765*x^2))-(3231*x)-3231))/((((x^8-x^6)+x^4)-x^2)+1))))))+(-(-(-(-(((1/2000000)*((((332850*x^3)-(138373*x^2))+(169724*x))-139053))/((((x^4-x^3)+x^2)-x)+1))))))+(-(-(-(-(((1/2000000)*((18226*x^3)+(174825*x^2)+(168298*x)+162451))/(x^4+x^3+x^2+x+1))))))+(-(-(-(-(((1/320)*((x^3+x^2)-x-1))/(x^4+1))))))+(-(-(-(-(((32509/640000)*(x+1))/(x^2+1))))))+(-(-(-(-(((1/4000)*(((((89*x^7)+(89*x^6))-(39*x^5)-(39*x^4))+(9*x^3)+(9*x^2))-(80*x)-80))/((((x^8-x^6)+x^4)-x^2)+1)^2)))))+(-(-(-(-(((1/800000)*((15024*x^3)+(935*x^2)+(63*x)+597))/((((x^4-x^3)+x^2)-x)+1)^2)))))+(-(-(-(-(((1/800000)*((9776*x^3)+(18617*x^2)+(12497*x)+6715))/(x^4+x^3+x^2+x+1)^2)))))+(-(-(-(-(((199/40000)*(x+1))/(x^2+1)^2)))))+(-(-(-(-((4.872578913*E9)/1024000000/(x-1))))))+(-(-(-(-(((1/800)*((x^7+x^6)-x-1))/((((x^8-x^6)+x^4)-x^2)+1)^3)))))+(-(-(-(-(((1/160000)*(((251*x^3)+(249*x^2)+(5*x))-75))/(x^4+x^3+x^2+x+1)^3)))))+(-(-(-(-(((1/160000)*((((77*x^3)+(253*x^2))-(165*x))+89))/((((x^4-x^3)+x^2)-x)+1)^3)))))+(-(-(-(-(25552413/512000000/(x+1)^2)))))+(-(-(-(-(((17/64000)*(x+1))/(x^2+1)^3)))))+(-(-(-(-(12318881/256000000/(x-1)^2)))))+(-(-(-(-(((1/32000)*(x^3-x^2-(3*x)-2))/(x^4+x^3+x^2+x+1)^4)))))+(-(-(-(-(((1/32000)*((x^3-(3*x^2))+x))/((((x^4-x^3)+x^2)-x)+1)^4)))))+(-(-(-(64183/12800000/(x+1)^3))))+(-(-(-(((1/160000)*(x+1))/(x^2+1)^4))))+(-(-(-(24268753/256000000/(x-1)^3))))+(-(-(3193/12800000/(x+1)^4)))+(-(-(125173/12800000/(x-1)^4)))+(-(-(171/25600000/(x+1)^5)))+(-(-(12601/25600000/(x-1)^5)))+(-(1/12800000/(x+1)^6))+(-(17/1280000/(x-1)^6))+(-(1/6400000/(x-1)^7)))))))+(((1/5)*((15*x^3)+(4*x^2)+(8*x)+9))/((((x^4-x^3)+x^2)-x)+1))+(-(-(((1/5)*((11*x^3)+(16*x^2)+(15*x)+8))/(x^4+x^3+x^2+x+1))))+(-(-(((1/2)*((2*x^3)+(2*x^2)+x))/(x^4+x^3+x^2+x+1)^2)))+(-(-(((1/2)*(((2*x^2)-x)+2))/((((x^4-x^3)+x^2)-x)+1)^2)))+(-(1/2/(x+1)))+(-(33/10/(x-1)))+(9/20/(x-1)^2))
A257890 = ((((((-(1*x^2))+(2*x))-1)/(((4.75837784472656*x^2)-(9.51675568945312*x))+4.75837784472656))*differential((A001310+(-((-(((1/10)*(((((51*x^39)+(51*x^38)+(44*x^37)+(44*x^36)+(36*x^35)+(36*x^34)+(28*x^33)+(28*x^32)+(19*x^31)+(19*x^30))-(41*x^29)-(41*x^28)-(44*x^27)-(44*x^26)-(46*x^25)-(46*x^24)-(47*x^23)-(47*x^22)-(47*x^21)-(47*x^20))+(5*x^19)+(5*x^18))-(5*x^15)-(5*x^14)-(10*x^13)-(10*x^12)-(15*x^11)-(15*x^10)-(71*x^9)-(71*x^8)-(69*x^7)-(69*x^6)-(66*x^5)-(66*x^4)-(62*x^3)-(62*x^2)-(57*x)-57))/((((x^40-x^30)+x^20)-x^10)+1)))+(-(-(-(-(-(((1/100)*(((((((((2*x^19)+(8*x^18)+x^17+(6*x^16))-(2*x^15))+(4*x^14)+(6*x^13)+(2*x^12)+(2*x^11))-(4*x^10))+x^9+(4*x^8))-(2*x^7)-(2*x^6)-(6*x^5)-(2*x^4))+(2*x^3))-(6*x^2)-x-8))/(x^20+x^15+x^10+x^5+1)))))))+(-(-(-(-(-(((1/100)*((6*x^18)+(13*x^17)+(18*x^16)+(26*x^15)+(30*x^14)+(28*x^13)+(24*x^12)+(24*x^11)+(18*x^10)+(15*x^9)+(18*x^8)+(24*x^7)+(24*x^6)+(28*x^5)+(30*x^4)+(26*x^3)+(18*x^2)+(13*x)+6))/((((x^20-x^15)+x^10)-x^5)+1)))))))+(-(-(-(-(-(((1/80)*(((9*x^15)+(9*x^14)+(16*x^13)+(16*x^12)+(12*x^11)+(12*x^10)+(8*x^9)+(8*x^8)+(12*x^7)+(12*x^6)+(13*x^5)+(13*x^4)+(4*x^3)+(4*x^2))-(4*x)-4))/((((x^16-x^12)+x^8)-x^4)+1)))))))+(-(-(-(-(((1/20000)*(((((3113*x^7)+(3113*x^6))-(2263*x^5)-(2263*x^4))+(765*x^3)+(765*x^2))-(3231*x)-3231))/((((x^8-x^6)+x^4)-x^2)+1))))))+(-(-(-(-(((1/2000000)*((((332850*x^3)-(138373*x^2))+(169724*x))-139053))/((((x^4-x^3)+x^2)-x)+1))))))+(-(-(-(-(((1/2000000)*((18226*x^3)+(174825*x^2)+(168298*x)+162451))/(x^4+x^3+x^2+x+1))))))+(-(-(-(-(((1/320)*((x^3+x^2)-x-1))/(x^4+1))))))+(-(-(-(-(((32509/640000)*(x+1))/(x^2+1))))))+(-(-(-(-(((1/4000)*(((((89*x^7)+(89*x^6))-(39*x^5)-(39*x^4))+(9*x^3)+(9*x^2))-(80*x)-80))/((((x^8-x^6)+x^4)-x^2)+1)^2)))))+(-(-(-(-(((1/800000)*((15024*x^3)+(935*x^2)+(63*x)+597))/((((x^4-x^3)+x^2)-x)+1)^2)))))+(-(-(-(-(((1/800000)*((9776*x^3)+(18617*x^2)+(12497*x)+6715))/(x^4+x^3+x^2+x+1)^2)))))+(-(-(-(-(2007607/40960000/(x+1))))))+(-(-(-(-(((199/40000)*(x+1))/(x^2+1)^2)))))+(-(-(-(-(((1/800)*((x^7+x^6)-x-1))/((((x^8-x^6)+x^4)-x^2)+1)^3)))))+(-(-(-(-(((1/160000)*(((251*x^3)+(249*x^2)+(5*x))-75))/(x^4+x^3+x^2+x+1)^3)))))+(-(-(-(-(((1/160000)*((((77*x^3)+(253*x^2))-(165*x))+89))/((((x^4-x^3)+x^2)-x)+1)^3)))))+(-(-(-(-(25552413/512000000/(x+1)^2)))))+(-(-(-(-(((17/64000)*(x+1))/(x^2+1)^3)))))+(-(-(-(-(12318881/256000000/(x-1)^2)))))+(-(-(-(-(((1/32000)*(x^3-x^2-(3*x)-2))/(x^4+x^3+x^2+x+1)^4)))))+(-(-(-(-(((1/32000)*((x^3-(3*x^2))+x))/((((x^4-x^3)+x^2)-x)+1)^4)))))+(-(-(-(64183/12800000/(x+1)^3))))+(-(-(-(((1/160000)*(x+1))/(x^2+1)^4))))+(-(-(-(24268753/256000000/(x-1)^3))))+(-(-(3193/12800000/(x+1)^4)))+(-(-(125173/12800000/(x-1)^4)))+(-(-(171/25600000/(x+1)^5)))+(-(-(12601/25600000/(x-1)^5)))+(-(1/12800000/(x+1)^6))+(-(17/1280000/(x-1)^6))+(-(1/6400000/(x-1)^7)))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257850 = (((-(25600000/25552413))*(A001310+(-((-(((1/10)*(((((51*x^39)+(51*x^38)+(44*x^37)+(44*x^36)+(36*x^35)+(36*x^34)+(28*x^33)+(28*x^32)+(19*x^31)+(19*x^30))-(41*x^29)-(41*x^28)-(44*x^27)-(44*x^26)-(46*x^25)-(46*x^24)-(47*x^23)-(47*x^22)-(47*x^21)-(47*x^20))+(5*x^19)+(5*x^18))-(5*x^15)-(5*x^14)-(10*x^13)-(10*x^12)-(15*x^11)-(15*x^10)-(71*x^9)-(71*x^8)-(69*x^7)-(69*x^6)-(66*x^5)-(66*x^4)-(62*x^3)-(62*x^2)-(57*x)-57))/((((x^40-x^30)+x^20)-x^10)+1)))+(-(-(-(-(-(((1/100)*(((((((((2*x^19)+(8*x^18)+x^17+(6*x^16))-(2*x^15))+(4*x^14)+(6*x^13)+(2*x^12)+(2*x^11))-(4*x^10))+x^9+(4*x^8))-(2*x^7)-(2*x^6)-(6*x^5)-(2*x^4))+(2*x^3))-(6*x^2)-x-8))/(x^20+x^15+x^10+x^5+1)))))))+(-(-(-(-(-(((1/100)*((6*x^18)+(13*x^17)+(18*x^16)+(26*x^15)+(30*x^14)+(28*x^13)+(24*x^12)+(24*x^11)+(18*x^10)+(15*x^9)+(18*x^8)+(24*x^7)+(24*x^6)+(28*x^5)+(30*x^4)+(26*x^3)+(18*x^2)+(13*x)+6))/((((x^20-x^15)+x^10)-x^5)+1)))))))+(-(-(-(-(-(((1/80)*(((9*x^15)+(9*x^14)+(16*x^13)+(16*x^12)+(12*x^11)+(12*x^10)+(8*x^9)+(8*x^8)+(12*x^7)+(12*x^6)+(13*x^5)+(13*x^4)+(4*x^3)+(4*x^2))-(4*x)-4))/((((x^16-x^12)+x^8)-x^4)+1)))))))+(-(-(-(-(((1/20000)*(((((3113*x^7)+(3113*x^6))-(2263*x^5)-(2263*x^4))+(765*x^3)+(765*x^2))-(3231*x)-3231))/((((x^8-x^6)+x^4)-x^2)+1))))))+(-(-(-(-(((1/2000000)*((((332850*x^3)-(138373*x^2))+(169724*x))-139053))/((((x^4-x^3)+x^2)-x)+1))))))+(-(-(-(-(((1/2000000)*((18226*x^3)+(174825*x^2)+(168298*x)+162451))/(x^4+x^3+x^2+x+1))))))+(-(-(-(-(((1/320)*((x^3+x^2)-x-1))/(x^4+1))))))+(-(-(-(-(((32509/640000)*(x+1))/(x^2+1))))))+(-(-(-(-(((1/4000)*(((((89*x^7)+(89*x^6))-(39*x^5)-(39*x^4))+(9*x^3)+(9*x^2))-(80*x)-80))/((((x^8-x^6)+x^4)-x^2)+1)^2)))))+(-(-(-(-(((1/800000)*((15024*x^3)+(935*x^2)+(63*x)+597))/((((x^4-x^3)+x^2)-x)+1)^2)))))+(-(-(-(-(((1/800000)*((9776*x^3)+(18617*x^2)+(12497*x)+6715))/(x^4+x^3+x^2+x+1)^2)))))+(-(-(-(-(2007607/40960000/(x+1))))))+(-(-(-(-(((199/40000)*(x+1))/(x^2+1)^2)))))+(-(-(-(-((4.872578913*E9)/1024000000/(x-1))))))+(-(-(-(-(((1/800)*((x^7+x^6)-x-1))/((((x^8-x^6)+x^4)-x^2)+1)^3)))))+(-(-(-(-(((1/160000)*(((251*x^3)+(249*x^2)+(5*x))-75))/(x^4+x^3+x^2+x+1)^3)))))+(-(-(-(-(((1/160000)*((((77*x^3)+(253*x^2))-(165*x))+89))/((((x^4-x^3)+x^2)-x)+1)^3)))))+(-(-(-(-(((17/64000)*(x+1))/(x^2+1)^3)))))+(-(-(-(-(12318881/256000000/(x-1)^2)))))+(-(-(-(-(((1/32000)*(x^3-x^2-(3*x)-2))/(x^4+x^3+x^2+x+1)^4)))))+(-(-(-(-(((1/32000)*((x^3-(3*x^2))+x))/((((x^4-x^3)+x^2)-x)+1)^4)))))+(-(-(-(64183/12800000/(x+1)^3))))+(-(-(-(((1/160000)*(x+1))/(x^2+1)^4))))+(-(-(-(24268753/256000000/(x-1)^3))))+(-(-(3193/12800000/(x+1)^4)))+(-(-(125173/12800000/(x-1)^4)))+(-(-(171/25600000/(x+1)^5)))+(-(-(12601/25600000/(x-1)^5)))+(-(1/12800000/(x+1)^6))+(-(17/1280000/(x-1)^6))+(-(1/6400000/(x-1)^7))))))+(((1/5)*((15*x^3)+(4*x^2)+(8*x)+9))/((((x^4-x^3)+x^2)-x)+1))+(-(-(((1/5)*((11*x^3)+(16*x^2)+(15*x)+8))/(x^4+x^3+x^2+x+1))))+(-(-(((1/2)*((2*x^3)+(2*x^2)+x))/(x^4+x^3+x^2+x+1)^2)))+(-(-(((1/2)*(((2*x^2)-x)+2))/((((x^4-x^3)+x^2)-x)+1)^2)))+(-(1/2/(x+1)))+(-(33/10/(x-1)))+(9/20/(x-1)^2))
A257171 = (((32000000/25552413)*differential((A001310+(-((-(((1/10)*(((((51*x^39)+(51*x^38)+(44*x^37)+(44*x^36)+(36*x^35)+(36*x^34)+(28*x^33)+(28*x^32)+(19*x^31)+(19*x^30))-(41*x^29)-(41*x^28)-(44*x^27)-(44*x^26)-(46*x^25)-(46*x^24)-(47*x^23)-(47*x^22)-(47*x^21)-(47*x^20))+(5*x^19)+(5*x^18))-(5*x^15)-(5*x^14)-(10*x^13)-(10*x^12)-(15*x^11)-(15*x^10)-(71*x^9)-(71*x^8)-(69*x^7)-(69*x^6)-(66*x^5)-(66*x^4)-(62*x^3)-(62*x^2)-(57*x)-57))/((((x^40-x^30)+x^20)-x^10)+1)))+(-(-(-(-(-(((1/100)*(((((((((2*x^19)+(8*x^18)+x^17+(6*x^16))-(2*x^15))+(4*x^14)+(6*x^13)+(2*x^12)+(2*x^11))-(4*x^10))+x^9+(4*x^8))-(2*x^7)-(2*x^6)-(6*x^5)-(2*x^4))+(2*x^3))-(6*x^2)-x-8))/(x^20+x^15+x^10+x^5+1)))))))+(-(-(-(-(-(((1/100)*((6*x^18)+(13*x^17)+(18*x^16)+(26*x^15)+(30*x^14)+(28*x^13)+(24*x^12)+(24*x^11)+(18*x^10)+(15*x^9)+(18*x^8)+(24*x^7)+(24*x^6)+(28*x^5)+(30*x^4)+(26*x^3)+(18*x^2)+(13*x)+6))/((((x^20-x^15)+x^10)-x^5)+1)))))))+(-(-(-(-(-(((1/80)*(((9*x^15)+(9*x^14)+(16*x^13)+(16*x^12)+(12*x^11)+(12*x^10)+(8*x^9)+(8*x^8)+(12*x^7)+(12*x^6)+(13*x^5)+(13*x^4)+(4*x^3)+(4*x^2))-(4*x)-4))/((((x^16-x^12)+x^8)-x^4)+1)))))))+(-(-(-(-(((1/20000)*(((((3113*x^7)+(3113*x^6))-(2263*x^5)-(2263*x^4))+(765*x^3)+(765*x^2))-(3231*x)-3231))/((((x^8-x^6)+x^4)-x^2)+1))))))+(-(-(-(-(((1/2000000)*((((332850*x^3)-(138373*x^2))+(169724*x))-139053))/((((x^4-x^3)+x^2)-x)+1))))))+(-(-(-(-(((1/2000000)*((18226*x^3)+(174825*x^2)+(168298*x)+162451))/(x^4+x^3+x^2+x+1))))))+(-(-(-(-(((1/320)*((x^3+x^2)-x-1))/(x^4+1))))))+(-(-(-(-(((32509/640000)*(x+1))/(x^2+1))))))+(-(-(-(-(((1/4000)*(((((89*x^7)+(89*x^6))-(39*x^5)-(39*x^4))+(9*x^3)+(9*x^2))-(80*x)-80))/((((x^8-x^6)+x^4)-x^2)+1)^2)))))+(-(-(-(-(((1/800000)*((15024*x^3)+(935*x^2)+(63*x)+597))/((((x^4-x^3)+x^2)-x)+1)^2)))))+(-(-(-(-(((1/800000)*((9776*x^3)+(18617*x^2)+(12497*x)+6715))/(x^4+x^3+x^2+x+1)^2)))))+(-(-(-(-(2007607/40960000/(x+1))))))+(-(-(-(-(((199/40000)*(x+1))/(x^2+1)^2)))))+(-(-(-(-((4.872578913*E9)/1024000000/(x-1))))))+(-(-(-(-(((1/800)*((x^7+x^6)-x-1))/((((x^8-x^6)+x^4)-x^2)+1)^3)))))+(-(-(-(-(((1/160000)*(((251*x^3)+(249*x^2)+(5*x))-75))/(x^4+x^3+x^2+x+1)^3)))))+(-(-(-(-(((1/160000)*((((77*x^3)+(253*x^2))-(165*x))+89))/((((x^4-x^3)+x^2)-x)+1)^3)))))+(-(-(-(-(((17/64000)*(x+1))/(x^2+1)^3)))))+(-(-(-(-(12318881/256000000/(x-1)^2)))))+(-(-(-(-(((1/32000)*(x^3-x^2-(3*x)-2))/(x^4+x^3+x^2+x+1)^4)))))+(-(-(-(-(((1/32000)*((x^3-(3*x^2))+x))/((((x^4-x^3)+x^2)-x)+1)^4)))))+(-(-(-(64183/12800000/(x+1)^3))))+(-(-(-(((1/160000)*(x+1))/(x^2+1)^4))))+(-(-(-(24268753/256000000/(x-1)^3))))+(-(-(3193/12800000/(x+1)^4)))+(-(-(125173/12800000/(x-1)^4)))+(-(-(171/25600000/(x+1)^5)))+(-(-(12601/25600000/(x-1)^5)))+(-(1/12800000/(x+1)^6))+(-(17/1280000/(x-1)^6))+(-(1/6400000/(x-1)^7)))))))+(2*x)+(-(-(3/8/(x+1))))+(-(-(3/8/(x-1))))+(-(3/4/(x-1)^2))+(-(3/8/(x-1)^3))+(-(3/4/(x-1)^4))+(-1))
A257890 = (((256000000/12318881)*(A001310+(-((-(((1/10)*(((((51*x^39)+(51*x^38)+(44*x^37)+(44*x^36)+(36*x^35)+(36*x^34)+(28*x^33)+(28*x^32)+(19*x^31)+(19*x^30))-(41*x^29)-(41*x^28)-(44*x^27)-(44*x^26)-(46*x^25)-(46*x^24)-(47*x^23)-(47*x^22)-(47*x^21)-(47*x^20))+(5*x^19)+(5*x^18))-(5*x^15)-(5*x^14)-(10*x^13)-(10*x^12)-(15*x^11)-(15*x^10)-(71*x^9)-(71*x^8)-(69*x^7)-(69*x^6)-(66*x^5)-(66*x^4)-(62*x^3)-(62*x^2)-(57*x)-57))/((((x^40-x^30)+x^20)-x^10)+1)))+(-(-(-(-(-(((1/100)*(((((((((2*x^19)+(8*x^18)+x^17+(6*x^16))-(2*x^15))+(4*x^14)+(6*x^13)+(2*x^12)+(2*x^11))-(4*x^10))+x^9+(4*x^8))-(2*x^7)-(2*x^6)-(6*x^5)-(2*x^4))+(2*x^3))-(6*x^2)-x-8))/(x^20+x^15+x^10+x^5+1)))))))+(-(-(-(-(-(((1/100)*((6*x^18)+(13*x^17)+(18*x^16)+(26*x^15)+(30*x^14)+(28*x^13)+(24*x^12)+(24*x^11)+(18*x^10)+(15*x^9)+(18*x^8)+(24*x^7)+(24*x^6)+(28*x^5)+(30*x^4)+(26*x^3)+(18*x^2)+(13*x)+6))/((((x^20-x^15)+x^10)-x^5)+1)))))))+(-(-(-(-(-(((1/80)*(((9*x^15)+(9*x^14)+(16*x^13)+(16*x^12)+(12*x^11)+(12*x^10)+(8*x^9)+(8*x^8)+(12*x^7)+(12*x^6)+(13*x^5)+(13*x^4)+(4*x^3)+(4*x^2))-(4*x)-4))/((((x^16-x^12)+x^8)-x^4)+1)))))))+(-(-(-(-(((1/20000)*(((((3113*x^7)+(3113*x^6))-(2263*x^5)-(2263*x^4))+(765*x^3)+(765*x^2))-(3231*x)-3231))/((((x^8-x^6)+x^4)-x^2)+1))))))+(-(-(-(-(((1/2000000)*((((332850*x^3)-(138373*x^2))+(169724*x))-139053))/((((x^4-x^3)+x^2)-x)+1))))))+(-(-(-(-(((1/2000000)*((18226*x^3)+(174825*x^2)+(168298*x)+162451))/(x^4+x^3+x^2+x+1))))))+(-(-(-(-(((1/320)*((x^3+x^2)-x-1))/(x^4+1))))))+(-(-(-(-(((32509/640000)*(x+1))/(x^2+1))))))+(-(-(-(-(((1/4000)*(((((89*x^7)+(89*x^6))-(39*x^5)-(39*x^4))+(9*x^3)+(9*x^2))-(80*x)-80))/((((x^8-x^6)+x^4)-x^2)+1)^2)))))+(-(-(-(-(((1/800000)*((15024*x^3)+(935*x^2)+(63*x)+597))/((((x^4-x^3)+x^2)-x)+1)^2)))))+(-(-(-(-(((1/800000)*((9776*x^3)+(18617*x^2)+(12497*x)+6715))/(x^4+x^3+x^2+x+1)^2)))))+(-(-(-(-(2007607/40960000/(x+1))))))+(-(-(-(-(((199/40000)*(x+1))/(x^2+1)^2)))))+(-(-(-(-((4.872578913*E9)/1024000000/(x-1))))))+(-(-(-(-(((1/800)*((x^7+x^6)-x-1))/((((x^8-x^6)+x^4)-x^2)+1)^3)))))+(-(-(-(-(((1/160000)*(((251*x^3)+(249*x^2)+(5*x))-75))/(x^4+x^3+x^2+x+1)^3)))))+(-(-(-(-(((1/160000)*((((77*x^3)+(253*x^2))-(165*x))+89))/((((x^4-x^3)+x^2)-x)+1)^3)))))+(-(-(-(-(25552413/512000000/(x+1)^2)))))+(-(-(-(-(((17/64000)*(x+1))/(x^2+1)^3)))))+(-(-(-(-(((1/32000)*(x^3-x^2-(3*x)-2))/(x^4+x^3+x^2+x+1)^4)))))+(-(-(-(-(((1/32000)*((x^3-(3*x^2))+x))/((((x^4-x^3)+x^2)-x)+1)^4)))))+(-(-(-(64183/12800000/(x+1)^3))))+(-(-(-(((1/160000)*(x+1))/(x^2+1)^4))))+(-(-(-(24268753/256000000/(x-1)^3))))+(-(-(3193/12800000/(x+1)^4)))+(-(-(125173/12800000/(x-1)^4)))+(-(-(171/25600000/(x+1)^5)))+(-(-(12601/25600000/(x-1)^5)))+(-(1/12800000/(x+1)^6))+(-(17/1280000/(x-1)^6))+(-(1/6400000/(x-1)^7))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257464 = (((112000000/36956643)*differential((A001310+(-((-(((1/10)*(((((51*x^39)+(51*x^38)+(44*x^37)+(44*x^36)+(36*x^35)+(36*x^34)+(28*x^33)+(28*x^32)+(19*x^31)+(19*x^30))-(41*x^29)-(41*x^28)-(44*x^27)-(44*x^26)-(46*x^25)-(46*x^24)-(47*x^23)-(47*x^22)-(47*x^21)-(47*x^20))+(5*x^19)+(5*x^18))-(5*x^15)-(5*x^14)-(10*x^13)-(10*x^12)-(15*x^11)-(15*x^10)-(71*x^9)-(71*x^8)-(69*x^7)-(69*x^6)-(66*x^5)-(66*x^4)-(62*x^3)-(62*x^2)-(57*x)-57))/((((x^40-x^30)+x^20)-x^10)+1)))+(-(-(-(-(-(((1/100)*(((((((((2*x^19)+(8*x^18)+x^17+(6*x^16))-(2*x^15))+(4*x^14)+(6*x^13)+(2*x^12)+(2*x^11))-(4*x^10))+x^9+(4*x^8))-(2*x^7)-(2*x^6)-(6*x^5)-(2*x^4))+(2*x^3))-(6*x^2)-x-8))/(x^20+x^15+x^10+x^5+1)))))))+(-(-(-(-(-(((1/100)*((6*x^18)+(13*x^17)+(18*x^16)+(26*x^15)+(30*x^14)+(28*x^13)+(24*x^12)+(24*x^11)+(18*x^10)+(15*x^9)+(18*x^8)+(24*x^7)+(24*x^6)+(28*x^5)+(30*x^4)+(26*x^3)+(18*x^2)+(13*x)+6))/((((x^20-x^15)+x^10)-x^5)+1)))))))+(-(-(-(-(-(((1/80)*(((9*x^15)+(9*x^14)+(16*x^13)+(16*x^12)+(12*x^11)+(12*x^10)+(8*x^9)+(8*x^8)+(12*x^7)+(12*x^6)+(13*x^5)+(13*x^4)+(4*x^3)+(4*x^2))-(4*x)-4))/((((x^16-x^12)+x^8)-x^4)+1)))))))+(-(-(-(-(((1/20000)*(((((3113*x^7)+(3113*x^6))-(2263*x^5)-(2263*x^4))+(765*x^3)+(765*x^2))-(3231*x)-3231))/((((x^8-x^6)+x^4)-x^2)+1))))))+(-(-(-(-(((1/2000000)*((((332850*x^3)-(138373*x^2))+(169724*x))-139053))/((((x^4-x^3)+x^2)-x)+1))))))+(-(-(-(-(((1/2000000)*((18226*x^3)+(174825*x^2)+(168298*x)+162451))/(x^4+x^3+x^2+x+1))))))+(-(-(-(-(((1/320)*((x^3+x^2)-x-1))/(x^4+1))))))+(-(-(-(-(((32509/640000)*(x+1))/(x^2+1))))))+(-(-(-(-(((1/4000)*(((((89*x^7)+(89*x^6))-(39*x^5)-(39*x^4))+(9*x^3)+(9*x^2))-(80*x)-80))/((((x^8-x^6)+x^4)-x^2)+1)^2)))))+(-(-(-(-(((1/800000)*((15024*x^3)+(935*x^2)+(63*x)+597))/((((x^4-x^3)+x^2)-x)+1)^2)))))+(-(-(-(-(((1/800000)*((9776*x^3)+(18617*x^2)+(12497*x)+6715))/(x^4+x^3+x^2+x+1)^2)))))+(-(-(-(-(2007607/40960000/(x+1))))))+(-(-(-(-(((199/40000)*(x+1))/(x^2+1)^2)))))+(-(-(-(-((4.872578913*E9)/1024000000/(x-1))))))+(-(-(-(-(((1/800)*((x^7+x^6)-x-1))/((((x^8-x^6)+x^4)-x^2)+1)^3)))))+(-(-(-(-(((1/160000)*(((251*x^3)+(249*x^2)+(5*x))-75))/(x^4+x^3+x^2+x+1)^3)))))+(-(-(-(-(((1/160000)*((((77*x^3)+(253*x^2))-(165*x))+89))/((((x^4-x^3)+x^2)-x)+1)^3)))))+(-(-(-(-(25552413/512000000/(x+1)^2)))))+(-(-(-(-(((17/64000)*(x+1))/(x^2+1)^3)))))+(-(-(-(-(((1/32000)*(x^3-x^2-(3*x)-2))/(x^4+x^3+x^2+x+1)^4)))))+(-(-(-(-(((1/32000)*((x^3-(3*x^2))+x))/((((x^4-x^3)+x^2)-x)+1)^4)))))+(-(-(-(64183/12800000/(x+1)^3))))+(-(-(-(((1/160000)*(x+1))/(x^2+1)^4))))+(-(-(-(24268753/256000000/(x-1)^3))))+(-(-(3193/12800000/(x+1)^4)))+(-(-(125173/12800000/(x-1)^4)))+(-(-(171/25600000/(x+1)^5)))+(-(-(12601/25600000/(x-1)^5)))+(-(1/12800000/(x+1)^6))+(-(17/1280000/(x-1)^6))+(-(1/6400000/(x-1)^7)))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257171 = (((1600000/64183)*(A001310+(-((-(((1/10)*(((((51*x^39)+(51*x^38)+(44*x^37)+(44*x^36)+(36*x^35)+(36*x^34)+(28*x^33)+(28*x^32)+(19*x^31)+(19*x^30))-(41*x^29)-(41*x^28)-(44*x^27)-(44*x^26)-(46*x^25)-(46*x^24)-(47*x^23)-(47*x^22)-(47*x^21)-(47*x^20))+(5*x^19)+(5*x^18))-(5*x^15)-(5*x^14)-(10*x^13)-(10*x^12)-(15*x^11)-(15*x^10)-(71*x^9)-(71*x^8)-(69*x^7)-(69*x^6)-(66*x^5)-(66*x^4)-(62*x^3)-(62*x^2)-(57*x)-57))/((((x^40-x^30)+x^20)-x^10)+1)))+(-(-(-(-(-(((1/100)*(((((((((2*x^19)+(8*x^18)+x^17+(6*x^16))-(2*x^15))+(4*x^14)+(6*x^13)+(2*x^12)+(2*x^11))-(4*x^10))+x^9+(4*x^8))-(2*x^7)-(2*x^6)-(6*x^5)-(2*x^4))+(2*x^3))-(6*x^2)-x-8))/(x^20+x^15+x^10+x^5+1)))))))+(-(-(-(-(-(((1/100)*((6*x^18)+(13*x^17)+(18*x^16)+(26*x^15)+(30*x^14)+(28*x^13)+(24*x^12)+(24*x^11)+(18*x^10)+(15*x^9)+(18*x^8)+(24*x^7)+(24*x^6)+(28*x^5)+(30*x^4)+(26*x^3)+(18*x^2)+(13*x)+6))/((((x^20-x^15)+x^10)-x^5)+1)))))))+(-(-(-(-(-(((1/80)*(((9*x^15)+(9*x^14)+(16*x^13)+(16*x^12)+(12*x^11)+(12*x^10)+(8*x^9)+(8*x^8)+(12*x^7)+(12*x^6)+(13*x^5)+(13*x^4)+(4*x^3)+(4*x^2))-(4*x)-4))/((((x^16-x^12)+x^8)-x^4)+1)))))))+(-(-(-(-(((1/20000)*(((((3113*x^7)+(3113*x^6))-(2263*x^5)-(2263*x^4))+(765*x^3)+(765*x^2))-(3231*x)-3231))/((((x^8-x^6)+x^4)-x^2)+1))))))+(-(-(-(-(((1/2000000)*((((332850*x^3)-(138373*x^2))+(169724*x))-139053))/((((x^4-x^3)+x^2)-x)+1))))))+(-(-(-(-(((1/2000000)*((18226*x^3)+(174825*x^2)+(168298*x)+162451))/(x^4+x^3+x^2+x+1))))))+(-(-(-(-(((1/320)*((x^3+x^2)-x-1))/(x^4+1))))))+(-(-(-(-(((32509/640000)*(x+1))/(x^2+1))))))+(-(-(-(-(((1/4000)*(((((89*x^7)+(89*x^6))-(39*x^5)-(39*x^4))+(9*x^3)+(9*x^2))-(80*x)-80))/((((x^8-x^6)+x^4)-x^2)+1)^2)))))+(-(-(-(-(((1/800000)*((15024*x^3)+(935*x^2)+(63*x)+597))/((((x^4-x^3)+x^2)-x)+1)^2)))))+(-(-(-(-(((1/800000)*((9776*x^3)+(18617*x^2)+(12497*x)+6715))/(x^4+x^3+x^2+x+1)^2)))))+(-(-(-(-(2007607/40960000/(x+1))))))+(-(-(-(-(((199/40000)*(x+1))/(x^2+1)^2)))))+(-(-(-(-((4.872578913*E9)/1024000000/(x-1))))))+(-(-(-(-(((1/800)*((x^7+x^6)-x-1))/((((x^8-x^6)+x^4)-x^2)+1)^3)))))+(-(-(-(-(((1/160000)*(((251*x^3)+(249*x^2)+(5*x))-75))/(x^4+x^3+x^2+x+1)^3)))))+(-(-(-(-(((1/160000)*((((77*x^3)+(253*x^2))-(165*x))+89))/((((x^4-x^3)+x^2)-x)+1)^3)))))+(-(-(-(-(25552413/512000000/(x+1)^2)))))+(-(-(-(-(((17/64000)*(x+1))/(x^2+1)^3)))))+(-(-(-(-(12318881/256000000/(x-1)^2)))))+(-(-(-(-(((1/32000)*(x^3-x^2-(3*x)-2))/(x^4+x^3+x^2+x+1)^4)))))+(-(-(-(-(((1/32000)*((x^3-(3*x^2))+x))/((((x^4-x^3)+x^2)-x)+1)^4)))))+(-(-(-(((1/160000)*(x+1))/(x^2+1)^4))))+(-(-(-(24268753/256000000/(x-1)^3))))+(-(-(3193/12800000/(x+1)^4)))+(-(-(125173/12800000/(x-1)^4)))+(-(-(171/25600000/(x+1)^5)))+(-(-(12601/25600000/(x-1)^5)))+(-(1/12800000/(x+1)^6))+(-(17/1280000/(x-1)^6))+(-(1/6400000/(x-1)^7))))))+(2*x)+(-(-(3/8/(x+1))))+(-(-(3/8/(x-1))))+(-(3/4/(x-1)^2))+(-(3/8/(x-1)^3))+(-(3/4/(x-1)^4))+(-1))
A257850 = (((-(1280000/64183))*integrate((A001310+(-((-(((1/10)*(((((51*x^39)+(51*x^38)+(44*x^37)+(44*x^36)+(36*x^35)+(36*x^34)+(28*x^33)+(28*x^32)+(19*x^31)+(19*x^30))-(41*x^29)-(41*x^28)-(44*x^27)-(44*x^26)-(46*x^25)-(46*x^24)-(47*x^23)-(47*x^22)-(47*x^21)-(47*x^20))+(5*x^19)+(5*x^18))-(5*x^15)-(5*x^14)-(10*x^13)-(10*x^12)-(15*x^11)-(15*x^10)-(71*x^9)-(71*x^8)-(69*x^7)-(69*x^6)-(66*x^5)-(66*x^4)-(62*x^3)-(62*x^2)-(57*x)-57))/((((x^40-x^30)+x^20)-x^10)+1)))+(-(-(-(-(-(((1/100)*(((((((((2*x^19)+(8*x^18)+x^17+(6*x^16))-(2*x^15))+(4*x^14)+(6*x^13)+(2*x^12)+(2*x^11))-(4*x^10))+x^9+(4*x^8))-(2*x^7)-(2*x^6)-(6*x^5)-(2*x^4))+(2*x^3))-(6*x^2)-x-8))/(x^20+x^15+x^10+x^5+1)))))))+(-(-(-(-(-(((1/100)*((6*x^18)+(13*x^17)+(18*x^16)+(26*x^15)+(30*x^14)+(28*x^13)+(24*x^12)+(24*x^11)+(18*x^10)+(15*x^9)+(18*x^8)+(24*x^7)+(24*x^6)+(28*x^5)+(30*x^4)+(26*x^3)+(18*x^2)+(13*x)+6))/((((x^20-x^15)+x^10)-x^5)+1)))))))+(-(-(-(-(-(((1/80)*(((9*x^15)+(9*x^14)+(16*x^13)+(16*x^12)+(12*x^11)+(12*x^10)+(8*x^9)+(8*x^8)+(12*x^7)+(12*x^6)+(13*x^5)+(13*x^4)+(4*x^3)+(4*x^2))-(4*x)-4))/((((x^16-x^12)+x^8)-x^4)+1)))))))+(-(-(-(-(((1/20000)*(((((3113*x^7)+(3113*x^6))-(2263*x^5)-(2263*x^4))+(765*x^3)+(765*x^2))-(3231*x)-3231))/((((x^8-x^6)+x^4)-x^2)+1))))))+(-(-(-(-(((1/2000000)*((((332850*x^3)-(138373*x^2))+(169724*x))-139053))/((((x^4-x^3)+x^2)-x)+1))))))+(-(-(-(-(((1/2000000)*((18226*x^3)+(174825*x^2)+(168298*x)+162451))/(x^4+x^3+x^2+x+1))))))+(-(-(-(-(((1/320)*((x^3+x^2)-x-1))/(x^4+1))))))+(-(-(-(-(((32509/640000)*(x+1))/(x^2+1))))))+(-(-(-(-(((1/4000)*(((((89*x^7)+(89*x^6))-(39*x^5)-(39*x^4))+(9*x^3)+(9*x^2))-(80*x)-80))/((((x^8-x^6)+x^4)-x^2)+1)^2)))))+(-(-(-(-(((1/800000)*((15024*x^3)+(935*x^2)+(63*x)+597))/((((x^4-x^3)+x^2)-x)+1)^2)))))+(-(-(-(-(((1/800000)*((9776*x^3)+(18617*x^2)+(12497*x)+6715))/(x^4+x^3+x^2+x+1)^2)))))+(-(-(-(-(2007607/40960000/(x+1))))))+(-(-(-(-(((199/40000)*(x+1))/(x^2+1)^2)))))+(-(-(-(-((4.872578913*E9)/1024000000/(x-1))))))+(-(-(-(-(((1/800)*((x^7+x^6)-x-1))/((((x^8-x^6)+x^4)-x^2)+1)^3)))))+(-(-(-(-(((1/160000)*(((251*x^3)+(249*x^2)+(5*x))-75))/(x^4+x^3+x^2+x+1)^3)))))+(-(-(-(-(((1/160000)*((((77*x^3)+(253*x^2))-(165*x))+89))/((((x^4-x^3)+x^2)-x)+1)^3)))))+(-(-(-(-(25552413/512000000/(x+1)^2)))))+(-(-(-(-(((17/64000)*(x+1))/(x^2+1)^3)))))+(-(-(-(-(12318881/256000000/(x-1)^2)))))+(-(-(-(-(((1/32000)*(x^3-x^2-(3*x)-2))/(x^4+x^3+x^2+x+1)^4)))))+(-(-(-(-(((1/32000)*((x^3-(3*x^2))+x))/((((x^4-x^3)+x^2)-x)+1)^4)))))+(-(-(-(((1/160000)*(x+1))/(x^2+1)^4))))+(-(-(-(24268753/256000000/(x-1)^3))))+(-(-(3193/12800000/(x+1)^4)))+(-(-(125173/12800000/(x-1)^4)))+(-(-(171/25600000/(x+1)^5)))+(-(-(12601/25600000/(x-1)^5)))+(-(1/12800000/(x+1)^6))+(-(17/1280000/(x-1)^6))+(-(1/6400000/(x-1)^7)))))))+(((1/5)*((15*x^3)+(4*x^2)+(8*x)+9))/((((x^4-x^3)+x^2)-x)+1))+(-(-(((1/5)*((11*x^3)+(16*x^2)+(15*x)+8))/(x^4+x^3+x^2+x+1))))+(-(-(((1/2)*((2*x^3)+(2*x^2)+x))/(x^4+x^3+x^2+x+1)^2)))+(-(-(((1/2)*(((2*x^2)-x)+2))/((((x^4-x^3)+x^2)-x)+1)^2)))+(-(1/2/(x+1)))+(-(33/10/(x-1)))+(9/20/(x-1)^2))
A254233 = (((100000/192549)*differential((A001310+(-((-(((1/10)*(((((51*x^39)+(51*x^38)+(44*x^37)+(44*x^36)+(36*x^35)+(36*x^34)+(28*x^33)+(28*x^32)+(19*x^31)+(19*x^30))-(41*x^29)-(41*x^28)-(44*x^27)-(44*x^26)-(46*x^25)-(46*x^24)-(47*x^23)-(47*x^22)-(47*x^21)-(47*x^20))+(5*x^19)+(5*x^18))-(5*x^15)-(5*x^14)-(10*x^13)-(10*x^12)-(15*x^11)-(15*x^10)-(71*x^9)-(71*x^8)-(69*x^7)-(69*x^6)-(66*x^5)-(66*x^4)-(62*x^3)-(62*x^2)-(57*x)-57))/((((x^40-x^30)+x^20)-x^10)+1)))+(-(-(-(-(-(((1/100)*(((((((((2*x^19)+(8*x^18)+x^17+(6*x^16))-(2*x^15))+(4*x^14)+(6*x^13)+(2*x^12)+(2*x^11))-(4*x^10))+x^9+(4*x^8))-(2*x^7)-(2*x^6)-(6*x^5)-(2*x^4))+(2*x^3))-(6*x^2)-x-8))/(x^20+x^15+x^10+x^5+1)))))))+(-(-(-(-(-(((1/100)*((6*x^18)+(13*x^17)+(18*x^16)+(26*x^15)+(30*x^14)+(28*x^13)+(24*x^12)+(24*x^11)+(18*x^10)+(15*x^9)+(18*x^8)+(24*x^7)+(24*x^6)+(28*x^5)+(30*x^4)+(26*x^3)+(18*x^2)+(13*x)+6))/((((x^20-x^15)+x^10)-x^5)+1)))))))+(-(-(-(-(-(((1/80)*(((9*x^15)+(9*x^14)+(16*x^13)+(16*x^12)+(12*x^11)+(12*x^10)+(8*x^9)+(8*x^8)+(12*x^7)+(12*x^6)+(13*x^5)+(13*x^4)+(4*x^3)+(4*x^2))-(4*x)-4))/((((x^16-x^12)+x^8)-x^4)+1)))))))+(-(-(-(-(((1/20000)*(((((3113*x^7)+(3113*x^6))-(2263*x^5)-(2263*x^4))+(765*x^3)+(765*x^2))-(3231*x)-3231))/((((x^8-x^6)+x^4)-x^2)+1))))))+(-(-(-(-(((1/2000000)*((((332850*x^3)-(138373*x^2))+(169724*x))-139053))/((((x^4-x^3)+x^2)-x)+1))))))+(-(-(-(-(((1/2000000)*((18226*x^3)+(174825*x^2)+(168298*x)+162451))/(x^4+x^3+x^2+x+1))))))+(-(-(-(-(((1/320)*((x^3+x^2)-x-1))/(x^4+1))))))+(-(-(-(-(((32509/640000)*(x+1))/(x^2+1))))))+(-(-(-(-(((1/4000)*(((((89*x^7)+(89*x^6))-(39*x^5)-(39*x^4))+(9*x^3)+(9*x^2))-(80*x)-80))/((((x^8-x^6)+x^4)-x^2)+1)^2)))))+(-(-(-(-(((1/800000)*((15024*x^3)+(935*x^2)+(63*x)+597))/((((x^4-x^3)+x^2)-x)+1)^2)))))+(-(-(-(-(((1/800000)*((9776*x^3)+(18617*x^2)+(12497*x)+6715))/(x^4+x^3+x^2+x+1)^2)))))+(-(-(-(-(2007607/40960000/(x+1))))))+(-(-(-(-(((199/40000)*(x+1))/(x^2+1)^2)))))+(-(-(-(-((4.872578913*E9)/1024000000/(x-1))))))+(-(-(-(-(((1/800)*((x^7+x^6)-x-1))/((((x^8-x^6)+x^4)-x^2)+1)^3)))))+(-(-(-(-(((1/160000)*(((251*x^3)+(249*x^2)+(5*x))-75))/(x^4+x^3+x^2+x+1)^3)))))+(-(-(-(-(((1/160000)*((((77*x^3)+(253*x^2))-(165*x))+89))/((((x^4-x^3)+x^2)-x)+1)^3)))))+(-(-(-(-(25552413/512000000/(x+1)^2)))))+(-(-(-(-(((17/64000)*(x+1))/(x^2+1)^3)))))+(-(-(-(-(12318881/256000000/(x-1)^2)))))+(-(-(-(-(((1/32000)*(x^3-x^2-(3*x)-2))/(x^4+x^3+x^2+x+1)^4)))))+(-(-(-(-(((1/32000)*((x^3-(3*x^2))+x))/((((x^4-x^3)+x^2)-x)+1)^4)))))+(-(-(-(((1/160000)*(x+1))/(x^2+1)^4))))+(-(-(-(24268753/256000000/(x-1)^3))))+(-(-(3193/12800000/(x+1)^4)))+(-(-(125173/12800000/(x-1)^4)))+(-(-(171/25600000/(x+1)^5)))+(-(-(12601/25600000/(x-1)^5)))+(-(1/12800000/(x+1)^6))+(-(17/1280000/(x-1)^6))+(-(1/6400000/(x-1)^7)))))))+(((1/972)*((113*x)+137))/(x^2+x+1))+(-(-(-(-(-(((1/12)*(x-1))/((x^2-x)+1)))))))+(-(-(-(-(3/32/(x^2+1))))))+(-(-(-(-(((1/162)*((12*x)+11))/(x^2+x+1)^2)))))+(-(-(-(-(41/384/(x+1))))))+(-(-(-(-(4345/31104/(x-1))))))+(-(-(-(83/1536/(x+1)^2))))+(-(-(-(9205/124416/(x-1)^2))))+(-(-(-(((1/27)*x)/(x^2+x+1)^3))))+(-(-(-(3/128/(x+1)^3))))+(-(-(-(3/64/(x-1)^3))))+(-(-(23/576/(x-1)^4)))+(-(-(5/144/(x-1)^5)))+(-(1/32/(x-1)^6))+(-(1/36/(x-1)^7))+(1/36/(x-1)^8))
A257464 = (((224000000/72806259)*(A001310+(-((-(((1/10)*(((((51*x^39)+(51*x^38)+(44*x^37)+(44*x^36)+(36*x^35)+(36*x^34)+(28*x^33)+(28*x^32)+(19*x^31)+(19*x^30))-(41*x^29)-(41*x^28)-(44*x^27)-(44*x^26)-(46*x^25)-(46*x^24)-(47*x^23)-(47*x^22)-(47*x^21)-(47*x^20))+(5*x^19)+(5*x^18))-(5*x^15)-(5*x^14)-(10*x^13)-(10*x^12)-(15*x^11)-(15*x^10)-(71*x^9)-(71*x^8)-(69*x^7)-(69*x^6)-(66*x^5)-(66*x^4)-(62*x^3)-(62*x^2)-(57*x)-57))/((((x^40-x^30)+x^20)-x^10)+1)))+(-(-(-(-(-(((1/100)*(((((((((2*x^19)+(8*x^18)+x^17+(6*x^16))-(2*x^15))+(4*x^14)+(6*x^13)+(2*x^12)+(2*x^11))-(4*x^10))+x^9+(4*x^8))-(2*x^7)-(2*x^6)-(6*x^5)-(2*x^4))+(2*x^3))-(6*x^2)-x-8))/(x^20+x^15+x^10+x^5+1)))))))+(-(-(-(-(-(((1/100)*((6*x^18)+(13*x^17)+(18*x^16)+(26*x^15)+(30*x^14)+(28*x^13)+(24*x^12)+(24*x^11)+(18*x^10)+(15*x^9)+(18*x^8)+(24*x^7)+(24*x^6)+(28*x^5)+(30*x^4)+(26*x^3)+(18*x^2)+(13*x)+6))/((((x^20-x^15)+x^10)-x^5)+1)))))))+(-(-(-(-(-(((1/80)*(((9*x^15)+(9*x^14)+(16*x^13)+(16*x^12)+(12*x^11)+(12*x^10)+(8*x^9)+(8*x^8)+(12*x^7)+(12*x^6)+(13*x^5)+(13*x^4)+(4*x^3)+(4*x^2))-(4*x)-4))/((((x^16-x^12)+x^8)-x^4)+1)))))))+(-(-(-(-(((1/20000)*(((((3113*x^7)+(3113*x^6))-(2263*x^5)-(2263*x^4))+(765*x^3)+(765*x^2))-(3231*x)-3231))/((((x^8-x^6)+x^4)-x^2)+1))))))+(-(-(-(-(((1/2000000)*((((332850*x^3)-(138373*x^2))+(169724*x))-139053))/((((x^4-x^3)+x^2)-x)+1))))))+(-(-(-(-(((1/2000000)*((18226*x^3)+(174825*x^2)+(168298*x)+162451))/(x^4+x^3+x^2+x+1))))))+(-(-(-(-(((1/320)*((x^3+x^2)-x-1))/(x^4+1))))))+(-(-(-(-(((32509/640000)*(x+1))/(x^2+1))))))+(-(-(-(-(((1/4000)*(((((89*x^7)+(89*x^6))-(39*x^5)-(39*x^4))+(9*x^3)+(9*x^2))-(80*x)-80))/((((x^8-x^6)+x^4)-x^2)+1)^2)))))+(-(-(-(-(((1/800000)*((15024*x^3)+(935*x^2)+(63*x)+597))/((((x^4-x^3)+x^2)-x)+1)^2)))))+(-(-(-(-(((1/800000)*((9776*x^3)+(18617*x^2)+(12497*x)+6715))/(x^4+x^3+x^2+x+1)^2)))))+(-(-(-(-(2007607/40960000/(x+1))))))+(-(-(-(-(((199/40000)*(x+1))/(x^2+1)^2)))))+(-(-(-(-((4.872578913*E9)/1024000000/(x-1))))))+(-(-(-(-(((1/800)*((x^7+x^6)-x-1))/((((x^8-x^6)+x^4)-x^2)+1)^3)))))+(-(-(-(-(((1/160000)*(((251*x^3)+(249*x^2)+(5*x))-75))/(x^4+x^3+x^2+x+1)^3)))))+(-(-(-(-(((1/160000)*((((77*x^3)+(253*x^2))-(165*x))+89))/((((x^4-x^3)+x^2)-x)+1)^3)))))+(-(-(-(-(25552413/512000000/(x+1)^2)))))+(-(-(-(-(((17/64000)*(x+1))/(x^2+1)^3)))))+(-(-(-(-(12318881/256000000/(x-1)^2)))))+(-(-(-(-(((1/32000)*(x^3-x^2-(3*x)-2))/(x^4+x^3+x^2+x+1)^4)))))+(-(-(-(-(((1/32000)*((x^3-(3*x^2))+x))/((((x^4-x^3)+x^2)-x)+1)^4)))))+(-(-(-(64183/12800000/(x+1)^3))))+(-(-(-(((1/160000)*(x+1))/(x^2+1)^4))))+(-(-(3193/12800000/(x+1)^4)))+(-(-(125173/12800000/(x-1)^4)))+(-(-(171/25600000/(x+1)^5)))+(-(-(12601/25600000/(x-1)^5)))+(-(1/12800000/(x+1)^6))+(-(17/1280000/(x-1)^6))+(-(1/6400000/(x-1)^7))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257890 = (((512000000/24268753)*integrate((A001310+(-((-(((1/10)*(((((51*x^39)+(51*x^38)+(44*x^37)+(44*x^36)+(36*x^35)+(36*x^34)+(28*x^33)+(28*x^32)+(19*x^31)+(19*x^30))-(41*x^29)-(41*x^28)-(44*x^27)-(44*x^26)-(46*x^25)-(46*x^24)-(47*x^23)-(47*x^22)-(47*x^21)-(47*x^20))+(5*x^19)+(5*x^18))-(5*x^15)-(5*x^14)-(10*x^13)-(10*x^12)-(15*x^11)-(15*x^10)-(71*x^9)-(71*x^8)-(69*x^7)-(69*x^6)-(66*x^5)-(66*x^4)-(62*x^3)-(62*x^2)-(57*x)-57))/((((x^40-x^30)+x^20)-x^10)+1)))+(-(-(-(-(-(((1/100)*(((((((((2*x^19)+(8*x^18)+x^17+(6*x^16))-(2*x^15))+(4*x^14)+(6*x^13)+(2*x^12)+(2*x^11))-(4*x^10))+x^9+(4*x^8))-(2*x^7)-(2*x^6)-(6*x^5)-(2*x^4))+(2*x^3))-(6*x^2)-x-8))/(x^20+x^15+x^10+x^5+1)))))))+(-(-(-(-(-(((1/100)*((6*x^18)+(13*x^17)+(18*x^16)+(26*x^15)+(30*x^14)+(28*x^13)+(24*x^12)+(24*x^11)+(18*x^10)+(15*x^9)+(18*x^8)+(24*x^7)+(24*x^6)+(28*x^5)+(30*x^4)+(26*x^3)+(18*x^2)+(13*x)+6))/((((x^20-x^15)+x^10)-x^5)+1)))))))+(-(-(-(-(-(((1/80)*(((9*x^15)+(9*x^14)+(16*x^13)+(16*x^12)+(12*x^11)+(12*x^10)+(8*x^9)+(8*x^8)+(12*x^7)+(12*x^6)+(13*x^5)+(13*x^4)+(4*x^3)+(4*x^2))-(4*x)-4))/((((x^16-x^12)+x^8)-x^4)+1)))))))+(-(-(-(-(((1/20000)*(((((3113*x^7)+(3113*x^6))-(2263*x^5)-(2263*x^4))+(765*x^3)+(765*x^2))-(3231*x)-3231))/((((x^8-x^6)+x^4)-x^2)+1))))))+(-(-(-(-(((1/2000000)*((((332850*x^3)-(138373*x^2))+(169724*x))-139053))/((((x^4-x^3)+x^2)-x)+1))))))+(-(-(-(-(((1/2000000)*((18226*x^3)+(174825*x^2)+(168298*x)+162451))/(x^4+x^3+x^2+x+1))))))+(-(-(-(-(((1/320)*((x^3+x^2)-x-1))/(x^4+1))))))+(-(-(-(-(((32509/640000)*(x+1))/(x^2+1))))))+(-(-(-(-(((1/4000)*(((((89*x^7)+(89*x^6))-(39*x^5)-(39*x^4))+(9*x^3)+(9*x^2))-(80*x)-80))/((((x^8-x^6)+x^4)-x^2)+1)^2)))))+(-(-(-(-(((1/800000)*((15024*x^3)+(935*x^2)+(63*x)+597))/((((x^4-x^3)+x^2)-x)+1)^2)))))+(-(-(-(-(((1/800000)*((9776*x^3)+(18617*x^2)+(12497*x)+6715))/(x^4+x^3+x^2+x+1)^2)))))+(-(-(-(-(2007607/40960000/(x+1))))))+(-(-(-(-(((199/40000)*(x+1))/(x^2+1)^2)))))+(-(-(-(-((4.872578913*E9)/1024000000/(x-1))))))+(-(-(-(-(((1/800)*((x^7+x^6)-x-1))/((((x^8-x^6)+x^4)-x^2)+1)^3)))))+(-(-(-(-(((1/160000)*(((251*x^3)+(249*x^2)+(5*x))-75))/(x^4+x^3+x^2+x+1)^3)))))+(-(-(-(-(((1/160000)*((((77*x^3)+(253*x^2))-(165*x))+89))/((((x^4-x^3)+x^2)-x)+1)^3)))))+(-(-(-(-(25552413/512000000/(x+1)^2)))))+(-(-(-(-(((17/64000)*(x+1))/(x^2+1)^3)))))+(-(-(-(-(12318881/256000000/(x-1)^2)))))+(-(-(-(-(((1/32000)*(x^3-x^2-(3*x)-2))/(x^4+x^3+x^2+x+1)^4)))))+(-(-(-(-(((1/32000)*((x^3-(3*x^2))+x))/((((x^4-x^3)+x^2)-x)+1)^4)))))+(-(-(-(64183/12800000/(x+1)^3))))+(-(-(-(((1/160000)*(x+1))/(x^2+1)^4))))+(-(-(3193/12800000/(x+1)^4)))+(-(-(125173/12800000/(x-1)^4)))+(-(-(171/25600000/(x+1)^5)))+(-(-(12601/25600000/(x-1)^5)))+(-(1/12800000/(x+1)^6))+(-(17/1280000/(x-1)^6))+(-(1/6400000/(x-1)^7)))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257890 = (((256000000/72806259)*differential((A001310+(-((-(((1/10)*(((((51*x^39)+(51*x^38)+(44*x^37)+(44*x^36)+(36*x^35)+(36*x^34)+(28*x^33)+(28*x^32)+(19*x^31)+(19*x^30))-(41*x^29)-(41*x^28)-(44*x^27)-(44*x^26)-(46*x^25)-(46*x^24)-(47*x^23)-(47*x^22)-(47*x^21)-(47*x^20))+(5*x^19)+(5*x^18))-(5*x^15)-(5*x^14)-(10*x^13)-(10*x^12)-(15*x^11)-(15*x^10)-(71*x^9)-(71*x^8)-(69*x^7)-(69*x^6)-(66*x^5)-(66*x^4)-(62*x^3)-(62*x^2)-(57*x)-57))/((((x^40-x^30)+x^20)-x^10)+1)))+(-(-(-(-(-(((1/100)*(((((((((2*x^19)+(8*x^18)+x^17+(6*x^16))-(2*x^15))+(4*x^14)+(6*x^13)+(2*x^12)+(2*x^11))-(4*x^10))+x^9+(4*x^8))-(2*x^7)-(2*x^6)-(6*x^5)-(2*x^4))+(2*x^3))-(6*x^2)-x-8))/(x^20+x^15+x^10+x^5+1)))))))+(-(-(-(-(-(((1/100)*((6*x^18)+(13*x^17)+(18*x^16)+(26*x^15)+(30*x^14)+(28*x^13)+(24*x^12)+(24*x^11)+(18*x^10)+(15*x^9)+(18*x^8)+(24*x^7)+(24*x^6)+(28*x^5)+(30*x^4)+(26*x^3)+(18*x^2)+(13*x)+6))/((((x^20-x^15)+x^10)-x^5)+1)))))))+(-(-(-(-(-(((1/80)*(((9*x^15)+(9*x^14)+(16*x^13)+(16*x^12)+(12*x^11)+(12*x^10)+(8*x^9)+(8*x^8)+(12*x^7)+(12*x^6)+(13*x^5)+(13*x^4)+(4*x^3)+(4*x^2))-(4*x)-4))/((((x^16-x^12)+x^8)-x^4)+1)))))))+(-(-(-(-(((1/20000)*(((((3113*x^7)+(3113*x^6))-(2263*x^5)-(2263*x^4))+(765*x^3)+(765*x^2))-(3231*x)-3231))/((((x^8-x^6)+x^4)-x^2)+1))))))+(-(-(-(-(((1/2000000)*((((332850*x^3)-(138373*x^2))+(169724*x))-139053))/((((x^4-x^3)+x^2)-x)+1))))))+(-(-(-(-(((1/2000000)*((18226*x^3)+(174825*x^2)+(168298*x)+162451))/(x^4+x^3+x^2+x+1))))))+(-(-(-(-(((1/320)*((x^3+x^2)-x-1))/(x^4+1))))))+(-(-(-(-(((32509/640000)*(x+1))/(x^2+1))))))+(-(-(-(-(((1/4000)*(((((89*x^7)+(89*x^6))-(39*x^5)-(39*x^4))+(9*x^3)+(9*x^2))-(80*x)-80))/((((x^8-x^6)+x^4)-x^2)+1)^2)))))+(-(-(-(-(((1/800000)*((15024*x^3)+(935*x^2)+(63*x)+597))/((((x^4-x^3)+x^2)-x)+1)^2)))))+(-(-(-(-(((1/800000)*((9776*x^3)+(18617*x^2)+(12497*x)+6715))/(x^4+x^3+x^2+x+1)^2)))))+(-(-(-(-(2007607/40960000/(x+1))))))+(-(-(-(-(((199/40000)*(x+1))/(x^2+1)^2)))))+(-(-(-(-((4.872578913*E9)/1024000000/(x-1))))))+(-(-(-(-(((1/800)*((x^7+x^6)-x-1))/((((x^8-x^6)+x^4)-x^2)+1)^3)))))+(-(-(-(-(((1/160000)*(((251*x^3)+(249*x^2)+(5*x))-75))/(x^4+x^3+x^2+x+1)^3)))))+(-(-(-(-(((1/160000)*((((77*x^3)+(253*x^2))-(165*x))+89))/((((x^4-x^3)+x^2)-x)+1)^3)))))+(-(-(-(-(25552413/512000000/(x+1)^2)))))+(-(-(-(-(((17/64000)*(x+1))/(x^2+1)^3)))))+(-(-(-(-(12318881/256000000/(x-1)^2)))))+(-(-(-(-(((1/32000)*(x^3-x^2-(3*x)-2))/(x^4+x^3+x^2+x+1)^4)))))+(-(-(-(-(((1/32000)*((x^3-(3*x^2))+x))/((((x^4-x^3)+x^2)-x)+1)^4)))))+(-(-(-(64183/12800000/(x+1)^3))))+(-(-(-(((1/160000)*(x+1))/(x^2+1)^4))))+(-(-(3193/12800000/(x+1)^4)))+(-(-(125173/12800000/(x-1)^4)))+(-(-(171/25600000/(x+1)^5)))+(-(-(12601/25600000/(x-1)^5)))+(-(1/12800000/(x+1)^6))+(-(17/1280000/(x-1)^6))+(-(1/6400000/(x-1)^7)))))))+(1/(x-1)^2)+(1/(x-1)^6))
A254233 = (((100000/3193)*(A001310+(-((-(((1/10)*(((((51*x^39)+(51*x^38)+(44*x^37)+(44*x^36)+(36*x^35)+(36*x^34)+(28*x^33)+(28*x^32)+(19*x^31)+(19*x^30))-(41*x^29)-(41*x^28)-(44*x^27)-(44*x^26)-(46*x^25)-(46*x^24)-(47*x^23)-(47*x^22)-(47*x^21)-(47*x^20))+(5*x^19)+(5*x^18))-(5*x^15)-(5*x^14)-(10*x^13)-(10*x^12)-(15*x^11)-(15*x^10)-(71*x^9)-(71*x^8)-(69*x^7)-(69*x^6)-(66*x^5)-(66*x^4)-(62*x^3)-(62*x^2)-(57*x)-57))/((((x^40-x^30)+x^20)-x^10)+1)))+(-(-(-(-(-(((1/100)*(((((((((2*x^19)+(8*x^18)+x^17+(6*x^16))-(2*x^15))+(4*x^14)+(6*x^13)+(2*x^12)+(2*x^11))-(4*x^10))+x^9+(4*x^8))-(2*x^7)-(2*x^6)-(6*x^5)-(2*x^4))+(2*x^3))-(6*x^2)-x-8))/(x^20+x^15+x^10+x^5+1)))))))+(-(-(-(-(-(((1/100)*((6*x^18)+(13*x^17)+(18*x^16)+(26*x^15)+(30*x^14)+(28*x^13)+(24*x^12)+(24*x^11)+(18*x^10)+(15*x^9)+(18*x^8)+(24*x^7)+(24*x^6)+(28*x^5)+(30*x^4)+(26*x^3)+(18*x^2)+(13*x)+6))/((((x^20-x^15)+x^10)-x^5)+1)))))))+(-(-(-(-(-(((1/80)*(((9*x^15)+(9*x^14)+(16*x^13)+(16*x^12)+(12*x^11)+(12*x^10)+(8*x^9)+(8*x^8)+(12*x^7)+(12*x^6)+(13*x^5)+(13*x^4)+(4*x^3)+(4*x^2))-(4*x)-4))/((((x^16-x^12)+x^8)-x^4)+1)))))))+(-(-(-(-(((1/20000)*(((((3113*x^7)+(3113*x^6))-(2263*x^5)-(2263*x^4))+(765*x^3)+(765*x^2))-(3231*x)-3231))/((((x^8-x^6)+x^4)-x^2)+1))))))+(-(-(-(-(((1/2000000)*((((332850*x^3)-(138373*x^2))+(169724*x))-139053))/((((x^4-x^3)+x^2)-x)+1))))))+(-(-(-(-(((1/2000000)*((18226*x^3)+(174825*x^2)+(168298*x)+162451))/(x^4+x^3+x^2+x+1))))))+(-(-(-(-(((1/320)*((x^3+x^2)-x-1))/(x^4+1))))))+(-(-(-(-(((32509/640000)*(x+1))/(x^2+1))))))+(-(-(-(-(((1/4000)*(((((89*x^7)+(89*x^6))-(39*x^5)-(39*x^4))+(9*x^3)+(9*x^2))-(80*x)-80))/((((x^8-x^6)+x^4)-x^2)+1)^2)))))+(-(-(-(-(((1/800000)*((15024*x^3)+(935*x^2)+(63*x)+597))/((((x^4-x^3)+x^2)-x)+1)^2)))))+(-(-(-(-(((1/800000)*((9776*x^3)+(18617*x^2)+(12497*x)+6715))/(x^4+x^3+x^2+x+1)^2)))))+(-(-(-(-(2007607/40960000/(x+1))))))+(-(-(-(-(((199/40000)*(x+1))/(x^2+1)^2)))))+(-(-(-(-((4.872578913*E9)/1024000000/(x-1))))))+(-(-(-(-(((1/800)*((x^7+x^6)-x-1))/((((x^8-x^6)+x^4)-x^2)+1)^3)))))+(-(-(-(-(((1/160000)*(((251*x^3)+(249*x^2)+(5*x))-75))/(x^4+x^3+x^2+x+1)^3)))))+(-(-(-(-(((1/160000)*((((77*x^3)+(253*x^2))-(165*x))+89))/((((x^4-x^3)+x^2)-x)+1)^3)))))+(-(-(-(-(25552413/512000000/(x+1)^2)))))+(-(-(-(-(((17/64000)*(x+1))/(x^2+1)^3)))))+(-(-(-(-(12318881/256000000/(x-1)^2)))))+(-(-(-(-(((1/32000)*(x^3-x^2-(3*x)-2))/(x^4+x^3+x^2+x+1)^4)))))+(-(-(-(-(((1/32000)*((x^3-(3*x^2))+x))/((((x^4-x^3)+x^2)-x)+1)^4)))))+(-(-(-(64183/12800000/(x+1)^3))))+(-(-(-(((1/160000)*(x+1))/(x^2+1)^4))))+(-(-(-(24268753/256000000/(x-1)^3))))+(-(-(125173/12800000/(x-1)^4)))+(-(-(171/25600000/(x+1)^5)))+(-(-(12601/25600000/(x-1)^5)))+(-(1/12800000/(x+1)^6))+(-(17/1280000/(x-1)^6))+(-(1/6400000/(x-1)^7))))))+(((1/972)*((113*x)+137))/(x^2+x+1))+(-(-(-(-(-(((1/12)*(x-1))/((x^2-x)+1)))))))+(-(-(-(-(3/32/(x^2+1))))))+(-(-(-(-(((1/162)*((12*x)+11))/(x^2+x+1)^2)))))+(-(-(-(-(41/384/(x+1))))))+(-(-(-(-(4345/31104/(x-1))))))+(-(-(-(83/1536/(x+1)^2))))+(-(-(-(9205/124416/(x-1)^2))))+(-(-(-(((1/27)*x)/(x^2+x+1)^3))))+(-(-(-(3/128/(x+1)^3))))+(-(-(-(3/64/(x-1)^3))))+(-(-(23/576/(x-1)^4)))+(-(-(5/144/(x-1)^5)))+(-(1/32/(x-1)^6))+(-(1/36/(x-1)^7))+(1/36/(x-1)^8))
A257171 = (((4800000/3193)*integrate((A001310+(-((-(((1/10)*(((((51*x^39)+(51*x^38)+(44*x^37)+(44*x^36)+(36*x^35)+(36*x^34)+(28*x^33)+(28*x^32)+(19*x^31)+(19*x^30))-(41*x^29)-(41*x^28)-(44*x^27)-(44*x^26)-(46*x^25)-(46*x^24)-(47*x^23)-(47*x^22)-(47*x^21)-(47*x^20))+(5*x^19)+(5*x^18))-(5*x^15)-(5*x^14)-(10*x^13)-(10*x^12)-(15*x^11)-(15*x^10)-(71*x^9)-(71*x^8)-(69*x^7)-(69*x^6)-(66*x^5)-(66*x^4)-(62*x^3)-(62*x^2)-(57*x)-57))/((((x^40-x^30)+x^20)-x^10)+1)))+(-(-(-(-(-(((1/100)*(((((((((2*x^19)+(8*x^18)+x^17+(6*x^16))-(2*x^15))+(4*x^14)+(6*x^13)+(2*x^12)+(2*x^11))-(4*x^10))+x^9+(4*x^8))-(2*x^7)-(2*x^6)-(6*x^5)-(2*x^4))+(2*x^3))-(6*x^2)-x-8))/(x^20+x^15+x^10+x^5+1)))))))+(-(-(-(-(-(((1/100)*((6*x^18)+(13*x^17)+(18*x^16)+(26*x^15)+(30*x^14)+(28*x^13)+(24*x^12)+(24*x^11)+(18*x^10)+(15*x^9)+(18*x^8)+(24*x^7)+(24*x^6)+(28*x^5)+(30*x^4)+(26*x^3)+(18*x^2)+(13*x)+6))/((((x^20-x^15)+x^10)-x^5)+1)))))))+(-(-(-(-(-(((1/80)*(((9*x^15)+(9*x^14)+(16*x^13)+(16*x^12)+(12*x^11)+(12*x^10)+(8*x^9)+(8*x^8)+(12*x^7)+(12*x^6)+(13*x^5)+(13*x^4)+(4*x^3)+(4*x^2))-(4*x)-4))/((((x^16-x^12)+x^8)-x^4)+1)))))))+(-(-(-(-(((1/20000)*(((((3113*x^7)+(3113*x^6))-(2263*x^5)-(2263*x^4))+(765*x^3)+(765*x^2))-(3231*x)-3231))/((((x^8-x^6)+x^4)-x^2)+1))))))+(-(-(-(-(((1/2000000)*((((332850*x^3)-(138373*x^2))+(169724*x))-139053))/((((x^4-x^3)+x^2)-x)+1))))))+(-(-(-(-(((1/2000000)*((18226*x^3)+(174825*x^2)+(168298*x)+162451))/(x^4+x^3+x^2+x+1))))))+(-(-(-(-(((1/320)*((x^3+x^2)-x-1))/(x^4+1))))))+(-(-(-(-(((32509/640000)*(x+1))/(x^2+1))))))+(-(-(-(-(((1/4000)*(((((89*x^7)+(89*x^6))-(39*x^5)-(39*x^4))+(9*x^3)+(9*x^2))-(80*x)-80))/((((x^8-x^6)+x^4)-x^2)+1)^2)))))+(-(-(-(-(((1/800000)*((15024*x^3)+(935*x^2)+(63*x)+597))/((((x^4-x^3)+x^2)-x)+1)^2)))))+(-(-(-(-(((1/800000)*((9776*x^3)+(18617*x^2)+(12497*x)+6715))/(x^4+x^3+x^2+x+1)^2)))))+(-(-(-(-(2007607/40960000/(x+1))))))+(-(-(-(-(((199/40000)*(x+1))/(x^2+1)^2)))))+(-(-(-(-((4.872578913*E9)/1024000000/(x-1))))))+(-(-(-(-(((1/800)*((x^7+x^6)-x-1))/((((x^8-x^6)+x^4)-x^2)+1)^3)))))+(-(-(-(-(((1/160000)*(((251*x^3)+(249*x^2)+(5*x))-75))/(x^4+x^3+x^2+x+1)^3)))))+(-(-(-(-(((1/160000)*((((77*x^3)+(253*x^2))-(165*x))+89))/((((x^4-x^3)+x^2)-x)+1)^3)))))+(-(-(-(-(25552413/512000000/(x+1)^2)))))+(-(-(-(-(((17/64000)*(x+1))/(x^2+1)^3)))))+(-(-(-(-(12318881/256000000/(x-1)^2)))))+(-(-(-(-(((1/32000)*(x^3-x^2-(3*x)-2))/(x^4+x^3+x^2+x+1)^4)))))+(-(-(-(-(((1/32000)*((x^3-(3*x^2))+x))/((((x^4-x^3)+x^2)-x)+1)^4)))))+(-(-(-(64183/12800000/(x+1)^3))))+(-(-(-(((1/160000)*(x+1))/(x^2+1)^4))))+(-(-(-(24268753/256000000/(x-1)^3))))+(-(-(125173/12800000/(x-1)^4)))+(-(-(171/25600000/(x+1)^5)))+(-(-(12601/25600000/(x-1)^5)))+(-(1/12800000/(x+1)^6))+(-(17/1280000/(x-1)^6))+(-(1/6400000/(x-1)^7)))))))+(2*x)+(-(-(3/8/(x+1))))+(-(-(3/8/(x-1))))+(-(3/4/(x-1)^2))+(-(3/8/(x-1)^3))+(-(3/4/(x-1)^4))+(-1))
A257890 = (((12800000/125173)*(A001310+(-((-(((1/10)*(((((51*x^39)+(51*x^38)+(44*x^37)+(44*x^36)+(36*x^35)+(36*x^34)+(28*x^33)+(28*x^32)+(19*x^31)+(19*x^30))-(41*x^29)-(41*x^28)-(44*x^27)-(44*x^26)-(46*x^25)-(46*x^24)-(47*x^23)-(47*x^22)-(47*x^21)-(47*x^20))+(5*x^19)+(5*x^18))-(5*x^15)-(5*x^14)-(10*x^13)-(10*x^12)-(15*x^11)-(15*x^10)-(71*x^9)-(71*x^8)-(69*x^7)-(69*x^6)-(66*x^5)-(66*x^4)-(62*x^3)-(62*x^2)-(57*x)-57))/((((x^40-x^30)+x^20)-x^10)+1)))+(-(-(-(-(-(((1/100)*(((((((((2*x^19)+(8*x^18)+x^17+(6*x^16))-(2*x^15))+(4*x^14)+(6*x^13)+(2*x^12)+(2*x^11))-(4*x^10))+x^9+(4*x^8))-(2*x^7)-(2*x^6)-(6*x^5)-(2*x^4))+(2*x^3))-(6*x^2)-x-8))/(x^20+x^15+x^10+x^5+1)))))))+(-(-(-(-(-(((1/100)*((6*x^18)+(13*x^17)+(18*x^16)+(26*x^15)+(30*x^14)+(28*x^13)+(24*x^12)+(24*x^11)+(18*x^10)+(15*x^9)+(18*x^8)+(24*x^7)+(24*x^6)+(28*x^5)+(30*x^4)+(26*x^3)+(18*x^2)+(13*x)+6))/((((x^20-x^15)+x^10)-x^5)+1)))))))+(-(-(-(-(-(((1/80)*(((9*x^15)+(9*x^14)+(16*x^13)+(16*x^12)+(12*x^11)+(12*x^10)+(8*x^9)+(8*x^8)+(12*x^7)+(12*x^6)+(13*x^5)+(13*x^4)+(4*x^3)+(4*x^2))-(4*x)-4))/((((x^16-x^12)+x^8)-x^4)+1)))))))+(-(-(-(-(((1/20000)*(((((3113*x^7)+(3113*x^6))-(2263*x^5)-(2263*x^4))+(765*x^3)+(765*x^2))-(3231*x)-3231))/((((x^8-x^6)+x^4)-x^2)+1))))))+(-(-(-(-(((1/2000000)*((((332850*x^3)-(138373*x^2))+(169724*x))-139053))/((((x^4-x^3)+x^2)-x)+1))))))+(-(-(-(-(((1/2000000)*((18226*x^3)+(174825*x^2)+(168298*x)+162451))/(x^4+x^3+x^2+x+1))))))+(-(-(-(-(((1/320)*((x^3+x^2)-x-1))/(x^4+1))))))+(-(-(-(-(((32509/640000)*(x+1))/(x^2+1))))))+(-(-(-(-(((1/4000)*(((((89*x^7)+(89*x^6))-(39*x^5)-(39*x^4))+(9*x^3)+(9*x^2))-(80*x)-80))/((((x^8-x^6)+x^4)-x^2)+1)^2)))))+(-(-(-(-(((1/800000)*((15024*x^3)+(935*x^2)+(63*x)+597))/((((x^4-x^3)+x^2)-x)+1)^2)))))+(-(-(-(-(((1/800000)*((9776*x^3)+(18617*x^2)+(12497*x)+6715))/(x^4+x^3+x^2+x+1)^2)))))+(-(-(-(-(2007607/40960000/(x+1))))))+(-(-(-(-(((199/40000)*(x+1))/(x^2+1)^2)))))+(-(-(-(-((4.872578913*E9)/1024000000/(x-1))))))+(-(-(-(-(((1/800)*((x^7+x^6)-x-1))/((((x^8-x^6)+x^4)-x^2)+1)^3)))))+(-(-(-(-(((1/160000)*(((251*x^3)+(249*x^2)+(5*x))-75))/(x^4+x^3+x^2+x+1)^3)))))+(-(-(-(-(((1/160000)*((((77*x^3)+(253*x^2))-(165*x))+89))/((((x^4-x^3)+x^2)-x)+1)^3)))))+(-(-(-(-(25552413/512000000/(x+1)^2)))))+(-(-(-(-(((17/64000)*(x+1))/(x^2+1)^3)))))+(-(-(-(-(12318881/256000000/(x-1)^2)))))+(-(-(-(-(((1/32000)*(x^3-x^2-(3*x)-2))/(x^4+x^3+x^2+x+1)^4)))))+(-(-(-(-(((1/32000)*((x^3-(3*x^2))+x))/((((x^4-x^3)+x^2)-x)+1)^4)))))+(-(-(-(64183/12800000/(x+1)^3))))+(-(-(-(((1/160000)*(x+1))/(x^2+1)^4))))+(-(-(-(24268753/256000000/(x-1)^3))))+(-(-(3193/12800000/(x+1)^4)))+(-(-(171/25600000/(x+1)^5)))+(-(-(12601/25600000/(x-1)^5)))+(-(1/12800000/(x+1)^6))+(-(17/1280000/(x-1)^6))+(-(1/6400000/(x-1)^7))))))+(1/(x-1)^2)+(1/(x-1)^6))
A257464 = (((11200000/125173)*integrate((A001310+(-((-(((1/10)*(((((51*x^39)+(51*x^38)+(44*x^37)+(44*x^36)+(36*x^35)+(36*x^34)+(28*x^33)+(28*x^32)+(19*x^31)+(19*x^30))-(41*x^29)-(41*x^28)-(44*x^27)-(44*x^26)-(46*x^25)-(46*x^24)-(47*x^23)-(47*x^22)-(47*x^21)-(47*x^20))+(5*x^19)+(5*x^18))-(5*x^15)-(5*x^14)-(10*x^13)-(10*x^12)-(15*x^11)-(15*x^10)-(71*x^9)-(71*x^8)-(69*x^7)-(69*x^6)-(66*x^5)-(66*x^4)-(62*x^3)-(62*x^2)-(57*x)-57))/((((x^40-x^30)+x^20)-x^10)+1)))+(-(-(-(-(-(((1/100)*(((((((((2*x^19)+(8*x^18)+x^17+(6*x^16))-(2*x^15))+(4*x^14)+(6*x^13)+(2*x^12)+(2*x^11))-(4*x^10))+x^9+(4*x^8))-(2*x^7)-(2*x^6)-(6*x^5)-(2*x^4))+(2*x^3))-(6*x^2)-x-8))/(x^20+x^15+x^10+x^5+1)))))))+(-(-(-(-(-(((1/100)*((6*x^18)+(13*x^17)+(18*x^16)+(26*x^15)+(30*x^14)+(28*x^13)+(24*x^12)+(24*x^11)+(18*x^10)+(15*x^9)+(18*x^8)+(24*x^7)+(24*x^6)+(28*x^5)+(30*x^4)+(26*x^3)+(18*x^2)+(13*x)+6))/((((x^20-x^15)+x^10)-x^5)+1)))))))+(-(-(-(-(-(((1/80)*(((9*x^15)+(9*x^14)+(16*x^13)+(16*x^12)+(12*x^11)+(12*x^10)+(8*x^9)+(8*x^8)+(12*x^7)+(12*x^6)+(13*x^5)+(13*x^4)+(4*x^3)+(4*x^2))-(4*x)-4))/((((x^16-x^12)+x^8)-x^4)+1)))))))+(-(-(-(-(((1/20000)*(((((3113*x^7)+(3113*x^6))-(2263*x^5)-(2263*x^4))+(765*x^3)+(765*x^2))-(3231*x)-3231))/((((x^8-x^6)+x^4)-x^2)+1))))))+(-(-(-(-(((1/2000000)*((((332850*x^3)-(138373*x^2))+(169724*x))-139053))/((((x^4-x^3)+x^2)-x)+1))))))+(-(-(-(-(((1/2000000)*((18226*x^3)+(174825*x^2)+(168298*x)+162451))/(x^4+x^3+x^2+x+1))))))+(-(-(-(-(((1/320)*((x^3+x^2)-x-1))/(x^4+1))))))+(-(-(-(-(((32509/640000)*(x+1))/(x^2+1))))))+(-(-(-(-(((1/4000)*(((((89*x^7)+(89*x^6))-(39*x^5)-(39*x^4))+(9*x^3)+(9*x^2))-(80*x)-80))/((((x^8-x^6)+x^4)-x^2)+1)^2)))))+(-(-(-(-(((1/800000)*((15024*x^3)+(935*x^2)+(63*x)+597))/((((x^4-x^3)+x^2)-x)+1)^2)))))+(-(-(-(-(((1/800000)*((9776*x^3)+(18617*x^2)+(12497*x)+6715))/(x^4+x^3+x^2+x+1)^2)))))+(-(-(-(-(2007607/40960000/(x+1))))))+(-(-(-(-(((199/40000)*(x+1))/(x^2+1)^2)))))+(-(-(-(-((4.872578913*E9)/1024000000/(x-1))))))+(-(-(-(-(((1/800)*((x^7+x^6)-x-1))/((((x^8-x^6)+x^4)-x^2)+1)^3)))))+(-(-(-(-(((1/160000)*(((251*x^3)+(249*x^2)+(5*x))-75))/(x^4+x^3+x^2+x+1)^3)))))+(-(-(-(-(((1/160000)*((((77*x^3)+(253*x^2))-(165*x))+89))/((((x^4-x^3)+x^2)-x)+1)^3)))))+(-(-(-(-(25552413/512000000/(x+1)^2)))))+(-(-(-(-(((17/64000)*(x+1))/(x^2+1)^3)))))+(-(-(-(-(12318881/256000000/(x-1)^2)))))+(-(-(-(-(((1/32000)*(x^3-x^2-(3*x)-2))/(x^4+x^3+x^2+x+1)^4)))))+(-(-(-(-(((1/32000)*((x^3-(3*x^2))+x))/((((x^4-x^3)+x^2)-x)+1)^4)))))+(-(-(-(64183/12800000/(x+1)^3))))+(-(-(-(((1/160000)*(x+1))/(x^2+1)^4))))+(-(-(-(24268753/256000000/(x-1)^3))))+(-(-(3193/12800000/(x+1)^4)))+(-(-(171/25600000/(x+1)^5)))+(-(-(12601/25600000/(x-1)^5)))+(-(1/12800000/(x+1)^6))+(-(17/1280000/(x-1)^6))+(-(1/6400000/(x-1)^7)))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257464 = (((1600000/125173)*differential((A001310+(-((-(((1/10)*(((((51*x^39)+(51*x^38)+(44*x^37)+(44*x^36)+(36*x^35)+(36*x^34)+(28*x^33)+(28*x^32)+(19*x^31)+(19*x^30))-(41*x^29)-(41*x^28)-(44*x^27)-(44*x^26)-(46*x^25)-(46*x^24)-(47*x^23)-(47*x^22)-(47*x^21)-(47*x^20))+(5*x^19)+(5*x^18))-(5*x^15)-(5*x^14)-(10*x^13)-(10*x^12)-(15*x^11)-(15*x^10)-(71*x^9)-(71*x^8)-(69*x^7)-(69*x^6)-(66*x^5)-(66*x^4)-(62*x^3)-(62*x^2)-(57*x)-57))/((((x^40-x^30)+x^20)-x^10)+1)))+(-(-(-(-(-(((1/100)*(((((((((2*x^19)+(8*x^18)+x^17+(6*x^16))-(2*x^15))+(4*x^14)+(6*x^13)+(2*x^12)+(2*x^11))-(4*x^10))+x^9+(4*x^8))-(2*x^7)-(2*x^6)-(6*x^5)-(2*x^4))+(2*x^3))-(6*x^2)-x-8))/(x^20+x^15+x^10+x^5+1)))))))+(-(-(-(-(-(((1/100)*((6*x^18)+(13*x^17)+(18*x^16)+(26*x^15)+(30*x^14)+(28*x^13)+(24*x^12)+(24*x^11)+(18*x^10)+(15*x^9)+(18*x^8)+(24*x^7)+(24*x^6)+(28*x^5)+(30*x^4)+(26*x^3)+(18*x^2)+(13*x)+6))/((((x^20-x^15)+x^10)-x^5)+1)))))))+(-(-(-(-(-(((1/80)*(((9*x^15)+(9*x^14)+(16*x^13)+(16*x^12)+(12*x^11)+(12*x^10)+(8*x^9)+(8*x^8)+(12*x^7)+(12*x^6)+(13*x^5)+(13*x^4)+(4*x^3)+(4*x^2))-(4*x)-4))/((((x^16-x^12)+x^8)-x^4)+1)))))))+(-(-(-(-(((1/20000)*(((((3113*x^7)+(3113*x^6))-(2263*x^5)-(2263*x^4))+(765*x^3)+(765*x^2))-(3231*x)-3231))/((((x^8-x^6)+x^4)-x^2)+1))))))+(-(-(-(-(((1/2000000)*((((332850*x^3)-(138373*x^2))+(169724*x))-139053))/((((x^4-x^3)+x^2)-x)+1))))))+(-(-(-(-(((1/2000000)*((18226*x^3)+(174825*x^2)+(168298*x)+162451))/(x^4+x^3+x^2+x+1))))))+(-(-(-(-(((1/320)*((x^3+x^2)-x-1))/(x^4+1))))))+(-(-(-(-(((32509/640000)*(x+1))/(x^2+1))))))+(-(-(-(-(((1/4000)*(((((89*x^7)+(89*x^6))-(39*x^5)-(39*x^4))+(9*x^3)+(9*x^2))-(80*x)-80))/((((x^8-x^6)+x^4)-x^2)+1)^2)))))+(-(-(-(-(((1/800000)*((15024*x^3)+(935*x^2)+(63*x)+597))/((((x^4-x^3)+x^2)-x)+1)^2)))))+(-(-(-(-(((1/800000)*((9776*x^3)+(18617*x^2)+(12497*x)+6715))/(x^4+x^3+x^2+x+1)^2)))))+(-(-(-(-(2007607/40960000/(x+1))))))+(-(-(-(-(((199/40000)*(x+1))/(x^2+1)^2)))))+(-(-(-(-((4.872578913*E9)/1024000000/(x-1))))))+(-(-(-(-(((1/800)*((x^7+x^6)-x-1))/((((x^8-x^6)+x^4)-x^2)+1)^3)))))+(-(-(-(-(((1/160000)*(((251*x^3)+(249*x^2)+(5*x))-75))/(x^4+x^3+x^2+x+1)^3)))))+(-(-(-(-(((1/160000)*((((77*x^3)+(253*x^2))-(165*x))+89))/((((x^4-x^3)+x^2)-x)+1)^3)))))+(-(-(-(-(25552413/512000000/(x+1)^2)))))+(-(-(-(-(((17/64000)*(x+1))/(x^2+1)^3)))))+(-(-(-(-(12318881/256000000/(x-1)^2)))))+(-(-(-(-(((1/32000)*(x^3-x^2-(3*x)-2))/(x^4+x^3+x^2+x+1)^4)))))+(-(-(-(-(((1/32000)*((x^3-(3*x^2))+x))/((((x^4-x^3)+x^2)-x)+1)^4)))))+(-(-(-(64183/12800000/(x+1)^3))))+(-(-(-(((1/160000)*(x+1))/(x^2+1)^4))))+(-(-(-(24268753/256000000/(x-1)^3))))+(-(-(3193/12800000/(x+1)^4)))+(-(-(171/25600000/(x+1)^5)))+(-(-(12601/25600000/(x-1)^5)))+(-(1/12800000/(x+1)^6))+(-(17/1280000/(x-1)^6))+(-(1/6400000/(x-1)^7)))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(7/24/(x-1)^3))+(-(1/2/(x-1)^4)))
A254233 = (((-(800000/171))*integrate((A001310+(-((-(((1/10)*(((((51*x^39)+(51*x^38)+(44*x^37)+(44*x^36)+(36*x^35)+(36*x^34)+(28*x^33)+(28*x^32)+(19*x^31)+(19*x^30))-(41*x^29)-(41*x^28)-(44*x^27)-(44*x^26)-(46*x^25)-(46*x^24)-(47*x^23)-(47*x^22)-(47*x^21)-(47*x^20))+(5*x^19)+(5*x^18))-(5*x^15)-(5*x^14)-(10*x^13)-(10*x^12)-(15*x^11)-(15*x^10)-(71*x^9)-(71*x^8)-(69*x^7)-(69*x^6)-(66*x^5)-(66*x^4)-(62*x^3)-(62*x^2)-(57*x)-57))/((((x^40-x^30)+x^20)-x^10)+1)))+(-(-(-(-(-(((1/100)*(((((((((2*x^19)+(8*x^18)+x^17+(6*x^16))-(2*x^15))+(4*x^14)+(6*x^13)+(2*x^12)+(2*x^11))-(4*x^10))+x^9+(4*x^8))-(2*x^7)-(2*x^6)-(6*x^5)-(2*x^4))+(2*x^3))-(6*x^2)-x-8))/(x^20+x^15+x^10+x^5+1)))))))+(-(-(-(-(-(((1/100)*((6*x^18)+(13*x^17)+(18*x^16)+(26*x^15)+(30*x^14)+(28*x^13)+(24*x^12)+(24*x^11)+(18*x^10)+(15*x^9)+(18*x^8)+(24*x^7)+(24*x^6)+(28*x^5)+(30*x^4)+(26*x^3)+(18*x^2)+(13*x)+6))/((((x^20-x^15)+x^10)-x^5)+1)))))))+(-(-(-(-(-(((1/80)*(((9*x^15)+(9*x^14)+(16*x^13)+(16*x^12)+(12*x^11)+(12*x^10)+(8*x^9)+(8*x^8)+(12*x^7)+(12*x^6)+(13*x^5)+(13*x^4)+(4*x^3)+(4*x^2))-(4*x)-4))/((((x^16-x^12)+x^8)-x^4)+1)))))))+(-(-(-(-(((1/20000)*(((((3113*x^7)+(3113*x^6))-(2263*x^5)-(2263*x^4))+(765*x^3)+(765*x^2))-(3231*x)-3231))/((((x^8-x^6)+x^4)-x^2)+1))))))+(-(-(-(-(((1/2000000)*((((332850*x^3)-(138373*x^2))+(169724*x))-139053))/((((x^4-x^3)+x^2)-x)+1))))))+(-(-(-(-(((1/2000000)*((18226*x^3)+(174825*x^2)+(168298*x)+162451))/(x^4+x^3+x^2+x+1))))))+(-(-(-(-(((1/320)*((x^3+x^2)-x-1))/(x^4+1))))))+(-(-(-(-(((32509/640000)*(x+1))/(x^2+1))))))+(-(-(-(-(((1/4000)*(((((89*x^7)+(89*x^6))-(39*x^5)-(39*x^4))+(9*x^3)+(9*x^2))-(80*x)-80))/((((x^8-x^6)+x^4)-x^2)+1)^2)))))+(-(-(-(-(((1/800000)*((15024*x^3)+(935*x^2)+(63*x)+597))/((((x^4-x^3)+x^2)-x)+1)^2)))))+(-(-(-(-(((1/800000)*((9776*x^3)+(18617*x^2)+(12497*x)+6715))/(x^4+x^3+x^2+x+1)^2)))))+(-(-(-(-(2007607/40960000/(x+1))))))+(-(-(-(-(((199/40000)*(x+1))/(x^2+1)^2)))))+(-(-(-(-((4.872578913*E9)/1024000000/(x-1))))))+(-(-(-(-(((1/800)*((x^7+x^6)-x-1))/((((x^8-x^6)+x^4)-x^2)+1)^3)))))+(-(-(-(-(((1/160000)*(((251*x^3)+(249*x^2)+(5*x))-75))/(x^4+x^3+x^2+x+1)^3)))))+(-(-(-(-(((1/160000)*((((77*x^3)+(253*x^2))-(165*x))+89))/((((x^4-x^3)+x^2)-x)+1)^3)))))+(-(-(-(-(25552413/512000000/(x+1)^2)))))+(-(-(-(-(((17/64000)*(x+1))/(x^2+1)^3)))))+(-(-(-(-(12318881/256000000/(x-1)^2)))))+(-(-(-(-(((1/32000)*(x^3-x^2-(3*x)-2))/(x^4+x^3+x^2+x+1)^4)))))+(-(-(-(-(((1/32000)*((x^3-(3*x^2))+x))/((((x^4-x^3)+x^2)-x)+1)^4)))))+(-(-(-(64183/12800000/(x+1)^3))))+(-(-(-(((1/160000)*(x+1))/(x^2+1)^4))))+(-(-(-(24268753/256000000/(x-1)^3))))+(-(-(3193/12800000/(x+1)^4)))+(-(-(125173/12800000/(x-1)^4)))+(-(-(12601/25600000/(x-1)^5)))+(-(1/12800000/(x+1)^6))+(-(17/1280000/(x-1)^6))+(-(1/6400000/(x-1)^7)))))))+(((1/972)*((113*x)+137))/(x^2+x+1))+(-(-(-(-(-(((1/12)*(x-1))/((x^2-x)+1)))))))+(-(-(-(-(3/32/(x^2+1))))))+(-(-(-(-(((1/162)*((12*x)+11))/(x^2+x+1)^2)))))+(-(-(-(-(41/384/(x+1))))))+(-(-(-(-(4345/31104/(x-1))))))+(-(-(-(83/1536/(x+1)^2))))+(-(-(-(9205/124416/(x-1)^2))))+(-(-(-(((1/27)*x)/(x^2+x+1)^3))))+(-(-(-(3/128/(x+1)^3))))+(-(-(-(3/64/(x-1)^3))))+(-(-(23/576/(x-1)^4)))+(-(-(5/144/(x-1)^5)))+(-(1/32/(x-1)^6))+(-(1/36/(x-1)^7))+(1/36/(x-1)^8))
A257464 = (((-(12800000/12601))*(A001310+(-((-(((1/10)*(((((51*x^39)+(51*x^38)+(44*x^37)+(44*x^36)+(36*x^35)+(36*x^34)+(28*x^33)+(28*x^32)+(19*x^31)+(19*x^30))-(41*x^29)-(41*x^28)-(44*x^27)-(44*x^26)-(46*x^25)-(46*x^24)-(47*x^23)-(47*x^22)-(47*x^21)-(47*x^20))+(5*x^19)+(5*x^18))-(5*x^15)-(5*x^14)-(10*x^13)-(10*x^12)-(15*x^11)-(15*x^10)-(71*x^9)-(71*x^8)-(69*x^7)-(69*x^6)-(66*x^5)-(66*x^4)-(62*x^3)-(62*x^2)-(57*x)-57))/((((x^40-x^30)+x^20)-x^10)+1)))+(-(-(-(-(-(((1/100)*(((((((((2*x^19)+(8*x^18)+x^17+(6*x^16))-(2*x^15))+(4*x^14)+(6*x^13)+(2*x^12)+(2*x^11))-(4*x^10))+x^9+(4*x^8))-(2*x^7)-(2*x^6)-(6*x^5)-(2*x^4))+(2*x^3))-(6*x^2)-x-8))/(x^20+x^15+x^10+x^5+1)))))))+(-(-(-(-(-(((1/100)*((6*x^18)+(13*x^17)+(18*x^16)+(26*x^15)+(30*x^14)+(28*x^13)+(24*x^12)+(24*x^11)+(18*x^10)+(15*x^9)+(18*x^8)+(24*x^7)+(24*x^6)+(28*x^5)+(30*x^4)+(26*x^3)+(18*x^2)+(13*x)+6))/((((x^20-x^15)+x^10)-x^5)+1)))))))+(-(-(-(-(-(((1/80)*(((9*x^15)+(9*x^14)+(16*x^13)+(16*x^12)+(12*x^11)+(12*x^10)+(8*x^9)+(8*x^8)+(12*x^7)+(12*x^6)+(13*x^5)+(13*x^4)+(4*x^3)+(4*x^2))-(4*x)-4))/((((x^16-x^12)+x^8)-x^4)+1)))))))+(-(-(-(-(((1/20000)*(((((3113*x^7)+(3113*x^6))-(2263*x^5)-(2263*x^4))+(765*x^3)+(765*x^2))-(3231*x)-3231))/((((x^8-x^6)+x^4)-x^2)+1))))))+(-(-(-(-(((1/2000000)*((((332850*x^3)-(138373*x^2))+(169724*x))-139053))/((((x^4-x^3)+x^2)-x)+1))))))+(-(-(-(-(((1/2000000)*((18226*x^3)+(174825*x^2)+(168298*x)+162451))/(x^4+x^3+x^2+x+1))))))+(-(-(-(-(((1/320)*((x^3+x^2)-x-1))/(x^4+1))))))+(-(-(-(-(((32509/640000)*(x+1))/(x^2+1))))))+(-(-(-(-(((1/4000)*(((((89*x^7)+(89*x^6))-(39*x^5)-(39*x^4))+(9*x^3)+(9*x^2))-(80*x)-80))/((((x^8-x^6)+x^4)-x^2)+1)^2)))))+(-(-(-(-(((1/800000)*((15024*x^3)+(935*x^2)+(63*x)+597))/((((x^4-x^3)+x^2)-x)+1)^2)))))+(-(-(-(-(((1/800000)*((9776*x^3)+(18617*x^2)+(12497*x)+6715))/(x^4+x^3+x^2+x+1)^2)))))+(-(-(-(-(2007607/40960000/(x+1))))))+(-(-(-(-(((199/40000)*(x+1))/(x^2+1)^2)))))+(-(-(-(-((4.872578913*E9)/1024000000/(x-1))))))+(-(-(-(-(((1/800)*((x^7+x^6)-x-1))/((((x^8-x^6)+x^4)-x^2)+1)^3)))))+(-(-(-(-(((1/160000)*(((251*x^3)+(249*x^2)+(5*x))-75))/(x^4+x^3+x^2+x+1)^3)))))+(-(-(-(-(((1/160000)*((((77*x^3)+(253*x^2))-(165*x))+89))/((((x^4-x^3)+x^2)-x)+1)^3)))))+(-(-(-(-(25552413/512000000/(x+1)^2)))))+(-(-(-(-(((17/64000)*(x+1))/(x^2+1)^3)))))+(-(-(-(-(12318881/256000000/(x-1)^2)))))+(-(-(-(-(((1/32000)*(x^3-x^2-(3*x)-2))/(x^4+x^3+x^2+x+1)^4)))))+(-(-(-(-(((1/32000)*((x^3-(3*x^2))+x))/((((x^4-x^3)+x^2)-x)+1)^4)))))+(-(-(-(64183/12800000/(x+1)^3))))+(-(-(-(((1/160000)*(x+1))/(x^2+1)^4))))+(-(-(-(24268753/256000000/(x-1)^3))))+(-(-(3193/12800000/(x+1)^4)))+(-(-(125173/12800000/(x-1)^4)))+(-(-(171/25600000/(x+1)^5)))+(-(1/12800000/(x+1)^6))+(-(17/1280000/(x-1)^6))+(-(1/6400000/(x-1)^7))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(7/24/(x-1)^3))+(-(1/2/(x-1)^4)))
A257890 = (((-(102400000/12601))*integrate((A001310+(-((-(((1/10)*(((((51*x^39)+(51*x^38)+(44*x^37)+(44*x^36)+(36*x^35)+(36*x^34)+(28*x^33)+(28*x^32)+(19*x^31)+(19*x^30))-(41*x^29)-(41*x^28)-(44*x^27)-(44*x^26)-(46*x^25)-(46*x^24)-(47*x^23)-(47*x^22)-(47*x^21)-(47*x^20))+(5*x^19)+(5*x^18))-(5*x^15)-(5*x^14)-(10*x^13)-(10*x^12)-(15*x^11)-(15*x^10)-(71*x^9)-(71*x^8)-(69*x^7)-(69*x^6)-(66*x^5)-(66*x^4)-(62*x^3)-(62*x^2)-(57*x)-57))/((((x^40-x^30)+x^20)-x^10)+1)))+(-(-(-(-(-(((1/100)*(((((((((2*x^19)+(8*x^18)+x^17+(6*x^16))-(2*x^15))+(4*x^14)+(6*x^13)+(2*x^12)+(2*x^11))-(4*x^10))+x^9+(4*x^8))-(2*x^7)-(2*x^6)-(6*x^5)-(2*x^4))+(2*x^3))-(6*x^2)-x-8))/(x^20+x^15+x^10+x^5+1)))))))+(-(-(-(-(-(((1/100)*((6*x^18)+(13*x^17)+(18*x^16)+(26*x^15)+(30*x^14)+(28*x^13)+(24*x^12)+(24*x^11)+(18*x^10)+(15*x^9)+(18*x^8)+(24*x^7)+(24*x^6)+(28*x^5)+(30*x^4)+(26*x^3)+(18*x^2)+(13*x)+6))/((((x^20-x^15)+x^10)-x^5)+1)))))))+(-(-(-(-(-(((1/80)*(((9*x^15)+(9*x^14)+(16*x^13)+(16*x^12)+(12*x^11)+(12*x^10)+(8*x^9)+(8*x^8)+(12*x^7)+(12*x^6)+(13*x^5)+(13*x^4)+(4*x^3)+(4*x^2))-(4*x)-4))/((((x^16-x^12)+x^8)-x^4)+1)))))))+(-(-(-(-(((1/20000)*(((((3113*x^7)+(3113*x^6))-(2263*x^5)-(2263*x^4))+(765*x^3)+(765*x^2))-(3231*x)-3231))/((((x^8-x^6)+x^4)-x^2)+1))))))+(-(-(-(-(((1/2000000)*((((332850*x^3)-(138373*x^2))+(169724*x))-139053))/((((x^4-x^3)+x^2)-x)+1))))))+(-(-(-(-(((1/2000000)*((18226*x^3)+(174825*x^2)+(168298*x)+162451))/(x^4+x^3+x^2+x+1))))))+(-(-(-(-(((1/320)*((x^3+x^2)-x-1))/(x^4+1))))))+(-(-(-(-(((32509/640000)*(x+1))/(x^2+1))))))+(-(-(-(-(((1/4000)*(((((89*x^7)+(89*x^6))-(39*x^5)-(39*x^4))+(9*x^3)+(9*x^2))-(80*x)-80))/((((x^8-x^6)+x^4)-x^2)+1)^2)))))+(-(-(-(-(((1/800000)*((15024*x^3)+(935*x^2)+(63*x)+597))/((((x^4-x^3)+x^2)-x)+1)^2)))))+(-(-(-(-(((1/800000)*((9776*x^3)+(18617*x^2)+(12497*x)+6715))/(x^4+x^3+x^2+x+1)^2)))))+(-(-(-(-(2007607/40960000/(x+1))))))+(-(-(-(-(((199/40000)*(x+1))/(x^2+1)^2)))))+(-(-(-(-((4.872578913*E9)/1024000000/(x-1))))))+(-(-(-(-(((1/800)*((x^7+x^6)-x-1))/((((x^8-x^6)+x^4)-x^2)+1)^3)))))+(-(-(-(-(((1/160000)*(((251*x^3)+(249*x^2)+(5*x))-75))/(x^4+x^3+x^2+x+1)^3)))))+(-(-(-(-(((1/160000)*((((77*x^3)+(253*x^2))-(165*x))+89))/((((x^4-x^3)+x^2)-x)+1)^3)))))+(-(-(-(-(25552413/512000000/(x+1)^2)))))+(-(-(-(-(((17/64000)*(x+1))/(x^2+1)^3)))))+(-(-(-(-(12318881/256000000/(x-1)^2)))))+(-(-(-(-(((1/32000)*(x^3-x^2-(3*x)-2))/(x^4+x^3+x^2+x+1)^4)))))+(-(-(-(-(((1/32000)*((x^3-(3*x^2))+x))/((((x^4-x^3)+x^2)-x)+1)^4)))))+(-(-(-(64183/12800000/(x+1)^3))))+(-(-(-(((1/160000)*(x+1))/(x^2+1)^4))))+(-(-(-(24268753/256000000/(x-1)^3))))+(-(-(3193/12800000/(x+1)^4)))+(-(-(125173/12800000/(x-1)^4)))+(-(-(171/25600000/(x+1)^5)))+(-(1/12800000/(x+1)^6))+(-(17/1280000/(x-1)^6))+(-(1/6400000/(x-1)^7)))))))+(1/(x-1)^2)+(1/(x-1)^6))
A257890 = (((-(5120000/12601))*differential((A001310+(-((-(((1/10)*(((((51*x^39)+(51*x^38)+(44*x^37)+(44*x^36)+(36*x^35)+(36*x^34)+(28*x^33)+(28*x^32)+(19*x^31)+(19*x^30))-(41*x^29)-(41*x^28)-(44*x^27)-(44*x^26)-(46*x^25)-(46*x^24)-(47*x^23)-(47*x^22)-(47*x^21)-(47*x^20))+(5*x^19)+(5*x^18))-(5*x^15)-(5*x^14)-(10*x^13)-(10*x^12)-(15*x^11)-(15*x^10)-(71*x^9)-(71*x^8)-(69*x^7)-(69*x^6)-(66*x^5)-(66*x^4)-(62*x^3)-(62*x^2)-(57*x)-57))/((((x^40-x^30)+x^20)-x^10)+1)))+(-(-(-(-(-(((1/100)*(((((((((2*x^19)+(8*x^18)+x^17+(6*x^16))-(2*x^15))+(4*x^14)+(6*x^13)+(2*x^12)+(2*x^11))-(4*x^10))+x^9+(4*x^8))-(2*x^7)-(2*x^6)-(6*x^5)-(2*x^4))+(2*x^3))-(6*x^2)-x-8))/(x^20+x^15+x^10+x^5+1)))))))+(-(-(-(-(-(((1/100)*((6*x^18)+(13*x^17)+(18*x^16)+(26*x^15)+(30*x^14)+(28*x^13)+(24*x^12)+(24*x^11)+(18*x^10)+(15*x^9)+(18*x^8)+(24*x^7)+(24*x^6)+(28*x^5)+(30*x^4)+(26*x^3)+(18*x^2)+(13*x)+6))/((((x^20-x^15)+x^10)-x^5)+1)))))))+(-(-(-(-(-(((1/80)*(((9*x^15)+(9*x^14)+(16*x^13)+(16*x^12)+(12*x^11)+(12*x^10)+(8*x^9)+(8*x^8)+(12*x^7)+(12*x^6)+(13*x^5)+(13*x^4)+(4*x^3)+(4*x^2))-(4*x)-4))/((((x^16-x^12)+x^8)-x^4)+1)))))))+(-(-(-(-(((1/20000)*(((((3113*x^7)+(3113*x^6))-(2263*x^5)-(2263*x^4))+(765*x^3)+(765*x^2))-(3231*x)-3231))/((((x^8-x^6)+x^4)-x^2)+1))))))+(-(-(-(-(((1/2000000)*((((332850*x^3)-(138373*x^2))+(169724*x))-139053))/((((x^4-x^3)+x^2)-x)+1))))))+(-(-(-(-(((1/2000000)*((18226*x^3)+(174825*x^2)+(168298*x)+162451))/(x^4+x^3+x^2+x+1))))))+(-(-(-(-(((1/320)*((x^3+x^2)-x-1))/(x^4+1))))))+(-(-(-(-(((32509/640000)*(x+1))/(x^2+1))))))+(-(-(-(-(((1/4000)*(((((89*x^7)+(89*x^6))-(39*x^5)-(39*x^4))+(9*x^3)+(9*x^2))-(80*x)-80))/((((x^8-x^6)+x^4)-x^2)+1)^2)))))+(-(-(-(-(((1/800000)*((15024*x^3)+(935*x^2)+(63*x)+597))/((((x^4-x^3)+x^2)-x)+1)^2)))))+(-(-(-(-(((1/800000)*((9776*x^3)+(18617*x^2)+(12497*x)+6715))/(x^4+x^3+x^2+x+1)^2)))))+(-(-(-(-(2007607/40960000/(x+1))))))+(-(-(-(-(((199/40000)*(x+1))/(x^2+1)^2)))))+(-(-(-(-((4.872578913*E9)/1024000000/(x-1))))))+(-(-(-(-(((1/800)*((x^7+x^6)-x-1))/((((x^8-x^6)+x^4)-x^2)+1)^3)))))+(-(-(-(-(((1/160000)*(((251*x^3)+(249*x^2)+(5*x))-75))/(x^4+x^3+x^2+x+1)^3)))))+(-(-(-(-(((1/160000)*((((77*x^3)+(253*x^2))-(165*x))+89))/((((x^4-x^3)+x^2)-x)+1)^3)))))+(-(-(-(-(25552413/512000000/(x+1)^2)))))+(-(-(-(-(((17/64000)*(x+1))/(x^2+1)^3)))))+(-(-(-(-(12318881/256000000/(x-1)^2)))))+(-(-(-(-(((1/32000)*(x^3-x^2-(3*x)-2))/(x^4+x^3+x^2+x+1)^4)))))+(-(-(-(-(((1/32000)*((x^3-(3*x^2))+x))/((((x^4-x^3)+x^2)-x)+1)^4)))))+(-(-(-(64183/12800000/(x+1)^3))))+(-(-(-(((1/160000)*(x+1))/(x^2+1)^4))))+(-(-(-(24268753/256000000/(x-1)^3))))+(-(-(3193/12800000/(x+1)^4)))+(-(-(125173/12800000/(x-1)^4)))+(-(-(171/25600000/(x+1)^5)))+(-(1/12800000/(x+1)^6))+(-(17/1280000/(x-1)^6))+(-(1/6400000/(x-1)^7)))))))+(1/(x-1)^2)+(1/(x-1)^4))
A257890 = (((-(1280000/17))*(A001310+(-((-(((1/10)*(((((51*x^39)+(51*x^38)+(44*x^37)+(44*x^36)+(36*x^35)+(36*x^34)+(28*x^33)+(28*x^32)+(19*x^31)+(19*x^30))-(41*x^29)-(41*x^28)-(44*x^27)-(44*x^26)-(46*x^25)-(46*x^24)-(47*x^23)-(47*x^22)-(47*x^21)-(47*x^20))+(5*x^19)+(5*x^18))-(5*x^15)-(5*x^14)-(10*x^13)-(10*x^12)-(15*x^11)-(15*x^10)-(71*x^9)-(71*x^8)-(69*x^7)-(69*x^6)-(66*x^5)-(66*x^4)-(62*x^3)-(62*x^2)-(57*x)-57))/((((x^40-x^30)+x^20)-x^10)+1)))+(-(-(-(-(-(((1/100)*(((((((((2*x^19)+(8*x^18)+x^17+(6*x^16))-(2*x^15))+(4*x^14)+(6*x^13)+(2*x^12)+(2*x^11))-(4*x^10))+x^9+(4*x^8))-(2*x^7)-(2*x^6)-(6*x^5)-(2*x^4))+(2*x^3))-(6*x^2)-x-8))/(x^20+x^15+x^10+x^5+1)))))))+(-(-(-(-(-(((1/100)*((6*x^18)+(13*x^17)+(18*x^16)+(26*x^15)+(30*x^14)+(28*x^13)+(24*x^12)+(24*x^11)+(18*x^10)+(15*x^9)+(18*x^8)+(24*x^7)+(24*x^6)+(28*x^5)+(30*x^4)+(26*x^3)+(18*x^2)+(13*x)+6))/((((x^20-x^15)+x^10)-x^5)+1)))))))+(-(-(-(-(-(((1/80)*(((9*x^15)+(9*x^14)+(16*x^13)+(16*x^12)+(12*x^11)+(12*x^10)+(8*x^9)+(8*x^8)+(12*x^7)+(12*x^6)+(13*x^5)+(13*x^4)+(4*x^3)+(4*x^2))-(4*x)-4))/((((x^16-x^12)+x^8)-x^4)+1)))))))+(-(-(-(-(((1/20000)*(((((3113*x^7)+(3113*x^6))-(2263*x^5)-(2263*x^4))+(765*x^3)+(765*x^2))-(3231*x)-3231))/((((x^8-x^6)+x^4)-x^2)+1))))))+(-(-(-(-(((1/2000000)*((((332850*x^3)-(138373*x^2))+(169724*x))-139053))/((((x^4-x^3)+x^2)-x)+1))))))+(-(-(-(-(((1/2000000)*((18226*x^3)+(174825*x^2)+(168298*x)+162451))/(x^4+x^3+x^2+x+1))))))+(-(-(-(-(((1/320)*((x^3+x^2)-x-1))/(x^4+1))))))+(-(-(-(-(((32509/640000)*(x+1))/(x^2+1))))))+(-(-(-(-(((1/4000)*(((((89*x^7)+(89*x^6))-(39*x^5)-(39*x^4))+(9*x^3)+(9*x^2))-(80*x)-80))/((((x^8-x^6)+x^4)-x^2)+1)^2)))))+(-(-(-(-(((1/800000)*((15024*x^3)+(935*x^2)+(63*x)+597))/((((x^4-x^3)+x^2)-x)+1)^2)))))+(-(-(-(-(((1/800000)*((9776*x^3)+(18617*x^2)+(12497*x)+6715))/(x^4+x^3+x^2+x+1)^2)))))+(-(-(-(-(2007607/40960000/(x+1))))))+(-(-(-(-(((199/40000)*(x+1))/(x^2+1)^2)))))+(-(-(-(-((4.872578913*E9)/1024000000/(x-1))))))+(-(-(-(-(((1/800)*((x^7+x^6)-x-1))/((((x^8-x^6)+x^4)-x^2)+1)^3)))))+(-(-(-(-(((1/160000)*(((251*x^3)+(249*x^2)+(5*x))-75))/(x^4+x^3+x^2+x+1)^3)))))+(-(-(-(-(((1/160000)*((((77*x^3)+(253*x^2))-(165*x))+89))/((((x^4-x^3)+x^2)-x)+1)^3)))))+(-(-(-(-(25552413/512000000/(x+1)^2)))))+(-(-(-(-(((17/64000)*(x+1))/(x^2+1)^3)))))+(-(-(-(-(12318881/256000000/(x-1)^2)))))+(-(-(-(-(((1/32000)*(x^3-x^2-(3*x)-2))/(x^4+x^3+x^2+x+1)^4)))))+(-(-(-(-(((1/32000)*((x^3-(3*x^2))+x))/((((x^4-x^3)+x^2)-x)+1)^4)))))+(-(-(-(64183/12800000/(x+1)^3))))+(-(-(-(((1/160000)*(x+1))/(x^2+1)^4))))+(-(-(-(24268753/256000000/(x-1)^3))))+(-(-(3193/12800000/(x+1)^4)))+(-(-(125173/12800000/(x-1)^4)))+(-(-(171/25600000/(x+1)^5)))+(-(-(12601/25600000/(x-1)^5)))+(-(1/12800000/(x+1)^6))+(-(1/6400000/(x-1)^7))))))+(1/(x-1)^2)+(1/(x-1)^4))
A257464 = (((-(3200000/17))*integrate((A001310+(-((-(((1/10)*(((((51*x^39)+(51*x^38)+(44*x^37)+(44*x^36)+(36*x^35)+(36*x^34)+(28*x^33)+(28*x^32)+(19*x^31)+(19*x^30))-(41*x^29)-(41*x^28)-(44*x^27)-(44*x^26)-(46*x^25)-(46*x^24)-(47*x^23)-(47*x^22)-(47*x^21)-(47*x^20))+(5*x^19)+(5*x^18))-(5*x^15)-(5*x^14)-(10*x^13)-(10*x^12)-(15*x^11)-(15*x^10)-(71*x^9)-(71*x^8)-(69*x^7)-(69*x^6)-(66*x^5)-(66*x^4)-(62*x^3)-(62*x^2)-(57*x)-57))/((((x^40-x^30)+x^20)-x^10)+1)))+(-(-(-(-(-(((1/100)*(((((((((2*x^19)+(8*x^18)+x^17+(6*x^16))-(2*x^15))+(4*x^14)+(6*x^13)+(2*x^12)+(2*x^11))-(4*x^10))+x^9+(4*x^8))-(2*x^7)-(2*x^6)-(6*x^5)-(2*x^4))+(2*x^3))-(6*x^2)-x-8))/(x^20+x^15+x^10+x^5+1)))))))+(-(-(-(-(-(((1/100)*((6*x^18)+(13*x^17)+(18*x^16)+(26*x^15)+(30*x^14)+(28*x^13)+(24*x^12)+(24*x^11)+(18*x^10)+(15*x^9)+(18*x^8)+(24*x^7)+(24*x^6)+(28*x^5)+(30*x^4)+(26*x^3)+(18*x^2)+(13*x)+6))/((((x^20-x^15)+x^10)-x^5)+1)))))))+(-(-(-(-(-(((1/80)*(((9*x^15)+(9*x^14)+(16*x^13)+(16*x^12)+(12*x^11)+(12*x^10)+(8*x^9)+(8*x^8)+(12*x^7)+(12*x^6)+(13*x^5)+(13*x^4)+(4*x^3)+(4*x^2))-(4*x)-4))/((((x^16-x^12)+x^8)-x^4)+1)))))))+(-(-(-(-(((1/20000)*(((((3113*x^7)+(3113*x^6))-(2263*x^5)-(2263*x^4))+(765*x^3)+(765*x^2))-(3231*x)-3231))/((((x^8-x^6)+x^4)-x^2)+1))))))+(-(-(-(-(((1/2000000)*((((332850*x^3)-(138373*x^2))+(169724*x))-139053))/((((x^4-x^3)+x^2)-x)+1))))))+(-(-(-(-(((1/2000000)*((18226*x^3)+(174825*x^2)+(168298*x)+162451))/(x^4+x^3+x^2+x+1))))))+(-(-(-(-(((1/320)*((x^3+x^2)-x-1))/(x^4+1))))))+(-(-(-(-(((32509/640000)*(x+1))/(x^2+1))))))+(-(-(-(-(((1/4000)*(((((89*x^7)+(89*x^6))-(39*x^5)-(39*x^4))+(9*x^3)+(9*x^2))-(80*x)-80))/((((x^8-x^6)+x^4)-x^2)+1)^2)))))+(-(-(-(-(((1/800000)*((15024*x^3)+(935*x^2)+(63*x)+597))/((((x^4-x^3)+x^2)-x)+1)^2)))))+(-(-(-(-(((1/800000)*((9776*x^3)+(18617*x^2)+(12497*x)+6715))/(x^4+x^3+x^2+x+1)^2)))))+(-(-(-(-(2007607/40960000/(x+1))))))+(-(-(-(-(((199/40000)*(x+1))/(x^2+1)^2)))))+(-(-(-(-((4.872578913*E9)/1024000000/(x-1))))))+(-(-(-(-(((1/800)*((x^7+x^6)-x-1))/((((x^8-x^6)+x^4)-x^2)+1)^3)))))+(-(-(-(-(((1/160000)*(((251*x^3)+(249*x^2)+(5*x))-75))/(x^4+x^3+x^2+x+1)^3)))))+(-(-(-(-(((1/160000)*((((77*x^3)+(253*x^2))-(165*x))+89))/((((x^4-x^3)+x^2)-x)+1)^3)))))+(-(-(-(-(25552413/512000000/(x+1)^2)))))+(-(-(-(-(((17/64000)*(x+1))/(x^2+1)^3)))))+(-(-(-(-(12318881/256000000/(x-1)^2)))))+(-(-(-(-(((1/32000)*(x^3-x^2-(3*x)-2))/(x^4+x^3+x^2+x+1)^4)))))+(-(-(-(-(((1/32000)*((x^3-(3*x^2))+x))/((((x^4-x^3)+x^2)-x)+1)^4)))))+(-(-(-(64183/12800000/(x+1)^3))))+(-(-(-(((1/160000)*(x+1))/(x^2+1)^4))))+(-(-(-(24268753/256000000/(x-1)^3))))+(-(-(3193/12800000/(x+1)^4)))+(-(-(125173/12800000/(x-1)^4)))+(-(-(171/25600000/(x+1)^5)))+(-(-(12601/25600000/(x-1)^5)))+(-(1/12800000/(x+1)^6))+(-(1/6400000/(x-1)^7)))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(7/24/(x-1)^3))+(-(1/2/(x-1)^4)))
A257201 = (((1280000/51)*differential((A001310+(-((-(((1/10)*(((((51*x^39)+(51*x^38)+(44*x^37)+(44*x^36)+(36*x^35)+(36*x^34)+(28*x^33)+(28*x^32)+(19*x^31)+(19*x^30))-(41*x^29)-(41*x^28)-(44*x^27)-(44*x^26)-(46*x^25)-(46*x^24)-(47*x^23)-(47*x^22)-(47*x^21)-(47*x^20))+(5*x^19)+(5*x^18))-(5*x^15)-(5*x^14)-(10*x^13)-(10*x^12)-(15*x^11)-(15*x^10)-(71*x^9)-(71*x^8)-(69*x^7)-(69*x^6)-(66*x^5)-(66*x^4)-(62*x^3)-(62*x^2)-(57*x)-57))/((((x^40-x^30)+x^20)-x^10)+1)))+(-(-(-(-(-(((1/100)*(((((((((2*x^19)+(8*x^18)+x^17+(6*x^16))-(2*x^15))+(4*x^14)+(6*x^13)+(2*x^12)+(2*x^11))-(4*x^10))+x^9+(4*x^8))-(2*x^7)-(2*x^6)-(6*x^5)-(2*x^4))+(2*x^3))-(6*x^2)-x-8))/(x^20+x^15+x^10+x^5+1)))))))+(-(-(-(-(-(((1/100)*((6*x^18)+(13*x^17)+(18*x^16)+(26*x^15)+(30*x^14)+(28*x^13)+(24*x^12)+(24*x^11)+(18*x^10)+(15*x^9)+(18*x^8)+(24*x^7)+(24*x^6)+(28*x^5)+(30*x^4)+(26*x^3)+(18*x^2)+(13*x)+6))/((((x^20-x^15)+x^10)-x^5)+1)))))))+(-(-(-(-(-(((1/80)*(((9*x^15)+(9*x^14)+(16*x^13)+(16*x^12)+(12*x^11)+(12*x^10)+(8*x^9)+(8*x^8)+(12*x^7)+(12*x^6)+(13*x^5)+(13*x^4)+(4*x^3)+(4*x^2))-(4*x)-4))/((((x^16-x^12)+x^8)-x^4)+1)))))))+(-(-(-(-(((1/20000)*(((((3113*x^7)+(3113*x^6))-(2263*x^5)-(2263*x^4))+(765*x^3)+(765*x^2))-(3231*x)-3231))/((((x^8-x^6)+x^4)-x^2)+1))))))+(-(-(-(-(((1/2000000)*((((332850*x^3)-(138373*x^2))+(169724*x))-139053))/((((x^4-x^3)+x^2)-x)+1))))))+(-(-(-(-(((1/2000000)*((18226*x^3)+(174825*x^2)+(168298*x)+162451))/(x^4+x^3+x^2+x+1))))))+(-(-(-(-(((1/320)*((x^3+x^2)-x-1))/(x^4+1))))))+(-(-(-(-(((32509/640000)*(x+1))/(x^2+1))))))+(-(-(-(-(((1/4000)*(((((89*x^7)+(89*x^6))-(39*x^5)-(39*x^4))+(9*x^3)+(9*x^2))-(80*x)-80))/((((x^8-x^6)+x^4)-x^2)+1)^2)))))+(-(-(-(-(((1/800000)*((15024*x^3)+(935*x^2)+(63*x)+597))/((((x^4-x^3)+x^2)-x)+1)^2)))))+(-(-(-(-(((1/800000)*((9776*x^3)+(18617*x^2)+(12497*x)+6715))/(x^4+x^3+x^2+x+1)^2)))))+(-(-(-(-(2007607/40960000/(x+1))))))+(-(-(-(-(((199/40000)*(x+1))/(x^2+1)^2)))))+(-(-(-(-((4.872578913*E9)/1024000000/(x-1))))))+(-(-(-(-(((1/800)*((x^7+x^6)-x-1))/((((x^8-x^6)+x^4)-x^2)+1)^3)))))+(-(-(-(-(((1/160000)*(((251*x^3)+(249*x^2)+(5*x))-75))/(x^4+x^3+x^2+x+1)^3)))))+(-(-(-(-(((1/160000)*((((77*x^3)+(253*x^2))-(165*x))+89))/((((x^4-x^3)+x^2)-x)+1)^3)))))+(-(-(-(-(25552413/512000000/(x+1)^2)))))+(-(-(-(-(((17/64000)*(x+1))/(x^2+1)^3)))))+(-(-(-(-(12318881/256000000/(x-1)^2)))))+(-(-(-(-(((1/32000)*(x^3-x^2-(3*x)-2))/(x^4+x^3+x^2+x+1)^4)))))+(-(-(-(-(((1/32000)*((x^3-(3*x^2))+x))/((((x^4-x^3)+x^2)-x)+1)^4)))))+(-(-(-(64183/12800000/(x+1)^3))))+(-(-(-(((1/160000)*(x+1))/(x^2+1)^4))))+(-(-(-(24268753/256000000/(x-1)^3))))+(-(-(3193/12800000/(x+1)^4)))+(-(-(125173/12800000/(x-1)^4)))+(-(-(171/25600000/(x+1)^5)))+(-(-(12601/25600000/(x-1)^5)))+(-(1/12800000/(x+1)^6))+(-(1/6400000/(x-1)^7)))))))+(1/(x-1)^5)+(2/(x-1)^6)+(1/(x-1)^8))
A257201 = (((-12800000)*(A001310+(-((-(((1/10)*(((((51*x^39)+(51*x^38)+(44*x^37)+(44*x^36)+(36*x^35)+(36*x^34)+(28*x^33)+(28*x^32)+(19*x^31)+(19*x^30))-(41*x^29)-(41*x^28)-(44*x^27)-(44*x^26)-(46*x^25)-(46*x^24)-(47*x^23)-(47*x^22)-(47*x^21)-(47*x^20))+(5*x^19)+(5*x^18))-(5*x^15)-(5*x^14)-(10*x^13)-(10*x^12)-(15*x^11)-(15*x^10)-(71*x^9)-(71*x^8)-(69*x^7)-(69*x^6)-(66*x^5)-(66*x^4)-(62*x^3)-(62*x^2)-(57*x)-57))/((((x^40-x^30)+x^20)-x^10)+1)))+(-(-(-(-(-(((1/100)*(((((((((2*x^19)+(8*x^18)+x^17+(6*x^16))-(2*x^15))+(4*x^14)+(6*x^13)+(2*x^12)+(2*x^11))-(4*x^10))+x^9+(4*x^8))-(2*x^7)-(2*x^6)-(6*x^5)-(2*x^4))+(2*x^3))-(6*x^2)-x-8))/(x^20+x^15+x^10+x^5+1)))))))+(-(-(-(-(-(((1/100)*((6*x^18)+(13*x^17)+(18*x^16)+(26*x^15)+(30*x^14)+(28*x^13)+(24*x^12)+(24*x^11)+(18*x^10)+(15*x^9)+(18*x^8)+(24*x^7)+(24*x^6)+(28*x^5)+(30*x^4)+(26*x^3)+(18*x^2)+(13*x)+6))/((((x^20-x^15)+x^10)-x^5)+1)))))))+(-(-(-(-(-(((1/80)*(((9*x^15)+(9*x^14)+(16*x^13)+(16*x^12)+(12*x^11)+(12*x^10)+(8*x^9)+(8*x^8)+(12*x^7)+(12*x^6)+(13*x^5)+(13*x^4)+(4*x^3)+(4*x^2))-(4*x)-4))/((((x^16-x^12)+x^8)-x^4)+1)))))))+(-(-(-(-(((1/20000)*(((((3113*x^7)+(3113*x^6))-(2263*x^5)-(2263*x^4))+(765*x^3)+(765*x^2))-(3231*x)-3231))/((((x^8-x^6)+x^4)-x^2)+1))))))+(-(-(-(-(((1/2000000)*((((332850*x^3)-(138373*x^2))+(169724*x))-139053))/((((x^4-x^3)+x^2)-x)+1))))))+(-(-(-(-(((1/2000000)*((18226*x^3)+(174825*x^2)+(168298*x)+162451))/(x^4+x^3+x^2+x+1))))))+(-(-(-(-(((1/320)*((x^3+x^2)-x-1))/(x^4+1))))))+(-(-(-(-(((32509/640000)*(x+1))/(x^2+1))))))+(-(-(-(-(((1/4000)*(((((89*x^7)+(89*x^6))-(39*x^5)-(39*x^4))+(9*x^3)+(9*x^2))-(80*x)-80))/((((x^8-x^6)+x^4)-x^2)+1)^2)))))+(-(-(-(-(((1/800000)*((15024*x^3)+(935*x^2)+(63*x)+597))/((((x^4-x^3)+x^2)-x)+1)^2)))))+(-(-(-(-(((1/800000)*((9776*x^3)+(18617*x^2)+(12497*x)+6715))/(x^4+x^3+x^2+x+1)^2)))))+(-(-(-(-(2007607/40960000/(x+1))))))+(-(-(-(-(((199/40000)*(x+1))/(x^2+1)^2)))))+(-(-(-(-((4.872578913*E9)/1024000000/(x-1))))))+(-(-(-(-(((1/800)*((x^7+x^6)-x-1))/((((x^8-x^6)+x^4)-x^2)+1)^3)))))+(-(-(-(-(((1/160000)*(((251*x^3)+(249*x^2)+(5*x))-75))/(x^4+x^3+x^2+x+1)^3)))))+(-(-(-(-(((1/160000)*((((77*x^3)+(253*x^2))-(165*x))+89))/((((x^4-x^3)+x^2)-x)+1)^3)))))+(-(-(-(-(25552413/512000000/(x+1)^2)))))+(-(-(-(-(((17/64000)*(x+1))/(x^2+1)^3)))))+(-(-(-(-(12318881/256000000/(x-1)^2)))))+(-(-(-(-(((1/32000)*(x^3-x^2-(3*x)-2))/(x^4+x^3+x^2+x+1)^4)))))+(-(-(-(-(((1/32000)*((x^3-(3*x^2))+x))/((((x^4-x^3)+x^2)-x)+1)^4)))))+(-(-(-(64183/12800000/(x+1)^3))))+(-(-(-(((1/160000)*(x+1))/(x^2+1)^4))))+(-(-(-(24268753/256000000/(x-1)^3))))+(-(-(3193/12800000/(x+1)^4)))+(-(-(125173/12800000/(x-1)^4)))+(-(-(171/25600000/(x+1)^5)))+(-(-(12601/25600000/(x-1)^5)))+(-(1/12800000/(x+1)^6))+(-(17/1280000/(x-1)^6))))))+(1/(x-1)^5)+(2/(x-1)^6)+(1/(x-1)^8))
A257890 = ((38400000*integrate((A001310+(-((-(((1/10)*(((((51*x^39)+(51*x^38)+(44*x^37)+(44*x^36)+(36*x^35)+(36*x^34)+(28*x^33)+(28*x^32)+(19*x^31)+(19*x^30))-(41*x^29)-(41*x^28)-(44*x^27)-(44*x^26)-(46*x^25)-(46*x^24)-(47*x^23)-(47*x^22)-(47*x^21)-(47*x^20))+(5*x^19)+(5*x^18))-(5*x^15)-(5*x^14)-(10*x^13)-(10*x^12)-(15*x^11)-(15*x^10)-(71*x^9)-(71*x^8)-(69*x^7)-(69*x^6)-(66*x^5)-(66*x^4)-(62*x^3)-(62*x^2)-(57*x)-57))/((((x^40-x^30)+x^20)-x^10)+1)))+(-(-(-(-(-(((1/100)*(((((((((2*x^19)+(8*x^18)+x^17+(6*x^16))-(2*x^15))+(4*x^14)+(6*x^13)+(2*x^12)+(2*x^11))-(4*x^10))+x^9+(4*x^8))-(2*x^7)-(2*x^6)-(6*x^5)-(2*x^4))+(2*x^3))-(6*x^2)-x-8))/(x^20+x^15+x^10+x^5+1)))))))+(-(-(-(-(-(((1/100)*((6*x^18)+(13*x^17)+(18*x^16)+(26*x^15)+(30*x^14)+(28*x^13)+(24*x^12)+(24*x^11)+(18*x^10)+(15*x^9)+(18*x^8)+(24*x^7)+(24*x^6)+(28*x^5)+(30*x^4)+(26*x^3)+(18*x^2)+(13*x)+6))/((((x^20-x^15)+x^10)-x^5)+1)))))))+(-(-(-(-(-(((1/80)*(((9*x^15)+(9*x^14)+(16*x^13)+(16*x^12)+(12*x^11)+(12*x^10)+(8*x^9)+(8*x^8)+(12*x^7)+(12*x^6)+(13*x^5)+(13*x^4)+(4*x^3)+(4*x^2))-(4*x)-4))/((((x^16-x^12)+x^8)-x^4)+1)))))))+(-(-(-(-(((1/20000)*(((((3113*x^7)+(3113*x^6))-(2263*x^5)-(2263*x^4))+(765*x^3)+(765*x^2))-(3231*x)-3231))/((((x^8-x^6)+x^4)-x^2)+1))))))+(-(-(-(-(((1/2000000)*((((332850*x^3)-(138373*x^2))+(169724*x))-139053))/((((x^4-x^3)+x^2)-x)+1))))))+(-(-(-(-(((1/2000000)*((18226*x^3)+(174825*x^2)+(168298*x)+162451))/(x^4+x^3+x^2+x+1))))))+(-(-(-(-(((1/320)*((x^3+x^2)-x-1))/(x^4+1))))))+(-(-(-(-(((32509/640000)*(x+1))/(x^2+1))))))+(-(-(-(-(((1/4000)*(((((89*x^7)+(89*x^6))-(39*x^5)-(39*x^4))+(9*x^3)+(9*x^2))-(80*x)-80))/((((x^8-x^6)+x^4)-x^2)+1)^2)))))+(-(-(-(-(((1/800000)*((15024*x^3)+(935*x^2)+(63*x)+597))/((((x^4-x^3)+x^2)-x)+1)^2)))))+(-(-(-(-(((1/800000)*((9776*x^3)+(18617*x^2)+(12497*x)+6715))/(x^4+x^3+x^2+x+1)^2)))))+(-(-(-(-(2007607/40960000/(x+1))))))+(-(-(-(-(((199/40000)*(x+1))/(x^2+1)^2)))))+(-(-(-(-((4.872578913*E9)/1024000000/(x-1))))))+(-(-(-(-(((1/800)*((x^7+x^6)-x-1))/((((x^8-x^6)+x^4)-x^2)+1)^3)))))+(-(-(-(-(((1/160000)*(((251*x^3)+(249*x^2)+(5*x))-75))/(x^4+x^3+x^2+x+1)^3)))))+(-(-(-(-(((1/160000)*((((77*x^3)+(253*x^2))-(165*x))+89))/((((x^4-x^3)+x^2)-x)+1)^3)))))+(-(-(-(-(25552413/512000000/(x+1)^2)))))+(-(-(-(-(((17/64000)*(x+1))/(x^2+1)^3)))))+(-(-(-(-(12318881/256000000/(x-1)^2)))))+(-(-(-(-(((1/32000)*(x^3-x^2-(3*x)-2))/(x^4+x^3+x^2+x+1)^4)))))+(-(-(-(-(((1/32000)*((x^3-(3*x^2))+x))/((((x^4-x^3)+x^2)-x)+1)^4)))))+(-(-(-(64183/12800000/(x+1)^3))))+(-(-(-(((1/160000)*(x+1))/(x^2+1)^4))))+(-(-(-(24268753/256000000/(x-1)^3))))+(-(-(3193/12800000/(x+1)^4)))+(-(-(125173/12800000/(x-1)^4)))+(-(-(171/25600000/(x+1)^5)))+(-(-(12601/25600000/(x-1)^5)))+(-(1/12800000/(x+1)^6))+(-(17/1280000/(x-1)^6)))))))+(1/(x-1)^2)+(1/(x-1)^4))
A257201 = (((6400000/7)*differential((A001310+(-((-(((1/10)*(((((51*x^39)+(51*x^38)+(44*x^37)+(44*x^36)+(36*x^35)+(36*x^34)+(28*x^33)+(28*x^32)+(19*x^31)+(19*x^30))-(41*x^29)-(41*x^28)-(44*x^27)-(44*x^26)-(46*x^25)-(46*x^24)-(47*x^23)-(47*x^22)-(47*x^21)-(47*x^20))+(5*x^19)+(5*x^18))-(5*x^15)-(5*x^14)-(10*x^13)-(10*x^12)-(15*x^11)-(15*x^10)-(71*x^9)-(71*x^8)-(69*x^7)-(69*x^6)-(66*x^5)-(66*x^4)-(62*x^3)-(62*x^2)-(57*x)-57))/((((x^40-x^30)+x^20)-x^10)+1)))+(-(-(-(-(-(((1/100)*(((((((((2*x^19)+(8*x^18)+x^17+(6*x^16))-(2*x^15))+(4*x^14)+(6*x^13)+(2*x^12)+(2*x^11))-(4*x^10))+x^9+(4*x^8))-(2*x^7)-(2*x^6)-(6*x^5)-(2*x^4))+(2*x^3))-(6*x^2)-x-8))/(x^20+x^15+x^10+x^5+1)))))))+(-(-(-(-(-(((1/100)*((6*x^18)+(13*x^17)+(18*x^16)+(26*x^15)+(30*x^14)+(28*x^13)+(24*x^12)+(24*x^11)+(18*x^10)+(15*x^9)+(18*x^8)+(24*x^7)+(24*x^6)+(28*x^5)+(30*x^4)+(26*x^3)+(18*x^2)+(13*x)+6))/((((x^20-x^15)+x^10)-x^5)+1)))))))+(-(-(-(-(-(((1/80)*(((9*x^15)+(9*x^14)+(16*x^13)+(16*x^12)+(12*x^11)+(12*x^10)+(8*x^9)+(8*x^8)+(12*x^7)+(12*x^6)+(13*x^5)+(13*x^4)+(4*x^3)+(4*x^2))-(4*x)-4))/((((x^16-x^12)+x^8)-x^4)+1)))))))+(-(-(-(-(((1/20000)*(((((3113*x^7)+(3113*x^6))-(2263*x^5)-(2263*x^4))+(765*x^3)+(765*x^2))-(3231*x)-3231))/((((x^8-x^6)+x^4)-x^2)+1))))))+(-(-(-(-(((1/2000000)*((((332850*x^3)-(138373*x^2))+(169724*x))-139053))/((((x^4-x^3)+x^2)-x)+1))))))+(-(-(-(-(((1/2000000)*((18226*x^3)+(174825*x^2)+(168298*x)+162451))/(x^4+x^3+x^2+x+1))))))+(-(-(-(-(((1/320)*((x^3+x^2)-x-1))/(x^4+1))))))+(-(-(-(-(((32509/640000)*(x+1))/(x^2+1))))))+(-(-(-(-(((1/4000)*(((((89*x^7)+(89*x^6))-(39*x^5)-(39*x^4))+(9*x^3)+(9*x^2))-(80*x)-80))/((((x^8-x^6)+x^4)-x^2)+1)^2)))))+(-(-(-(-(((1/800000)*((15024*x^3)+(935*x^2)+(63*x)+597))/((((x^4-x^3)+x^2)-x)+1)^2)))))+(-(-(-(-(((1/800000)*((9776*x^3)+(18617*x^2)+(12497*x)+6715))/(x^4+x^3+x^2+x+1)^2)))))+(-(-(-(-(2007607/40960000/(x+1))))))+(-(-(-(-(((199/40000)*(x+1))/(x^2+1)^2)))))+(-(-(-(-((4.872578913*E9)/1024000000/(x-1))))))+(-(-(-(-(((1/800)*((x^7+x^6)-x-1))/((((x^8-x^6)+x^4)-x^2)+1)^3)))))+(-(-(-(-(((1/160000)*(((251*x^3)+(249*x^2)+(5*x))-75))/(x^4+x^3+x^2+x+1)^3)))))+(-(-(-(-(((1/160000)*((((77*x^3)+(253*x^2))-(165*x))+89))/((((x^4-x^3)+x^2)-x)+1)^3)))))+(-(-(-(-(25552413/512000000/(x+1)^2)))))+(-(-(-(-(((17/64000)*(x+1))/(x^2+1)^3)))))+(-(-(-(-(12318881/256000000/(x-1)^2)))))+(-(-(-(-(((1/32000)*(x^3-x^2-(3*x)-2))/(x^4+x^3+x^2+x+1)^4)))))+(-(-(-(-(((1/32000)*((x^3-(3*x^2))+x))/((((x^4-x^3)+x^2)-x)+1)^4)))))+(-(-(-(64183/12800000/(x+1)^3))))+(-(-(-(((1/160000)*(x+1))/(x^2+1)^4))))+(-(-(-(24268753/256000000/(x-1)^3))))+(-(-(3193/12800000/(x+1)^4)))+(-(-(125173/12800000/(x-1)^4)))+(-(-(171/25600000/(x+1)^5)))+(-(-(12601/25600000/(x-1)^5)))+(-(1/12800000/(x+1)^6))+(-(17/1280000/(x-1)^6)))))))+(1/(x-1)^5)+(2/(x-1)^6)+(2/(x-1)^7))
A257850 = (((-(80000/205757))*differential((A001312+(-((-(((1/20)*(((((116*x^39)+(119*x^38)+(122*x^37)+(125*x^36)+(128*x^35)+(131*x^34)+(134*x^33)+(131*x^32)+(134*x^31)+(131*x^30)+(18*x^29)+(12*x^28)+(6*x^27))-(6*x^25)-(12*x^24)-(18*x^23)-(22*x^22)-(28*x^21)-(32*x^20))+(78*x^19)+(77*x^18)+(76*x^17)+(75*x^16)+(74*x^15)+(73*x^14)+(72*x^13)+(68*x^12)+(67*x^11)+(63*x^10))-(54*x^9)-(61*x^8)-(68*x^7)-(75*x^6)-(82*x^5)-(89*x^4)-(96*x^3)-(99*x^2)-(106*x)-109))/((((x^40-x^30)+x^20)-x^10)+1)))+(-(-(-(-(-(((1/1000)*(((((106*x^19)+(99*x^18)+(22*x^17)+(15*x^16))-(62*x^15))+(37*x^14))-(47*x^13)-(51*x^12)-(135*x^11)-(139*x^10)-(117*x^9)-(128*x^8)-(139*x^7)-(150*x^6)-(161*x^5)-(66*x^4)-(84*x^3)-(82*x^2)-(100*x)-98))/(x^20+x^15+x^10+x^5+1)))))))+(-(-(-(-(-(((1/200)*(((58*x^19)+(97*x^18)+(122*x^17)+(161*x^16)+(186*x^15)+(167*x^14)+(153*x^13)+(123*x^12)+(109*x^11)+(79*x^10)+(123*x^9)+(132*x^8)+(141*x^7)+(150*x^6)+(159*x^5)+(110*x^4)+(80*x^3)+(46*x^2)+(16*x))-18))/((((x^20-x^15)+x^10)-x^5)+1)))))))+(-(-(-(-(((1/400)*(((((7*x^7)+(5*x^6))-(4*x^5)-(5*x^4))+x^3)-(8*x)-5))/((((x^8-x^6)+x^4)-x^2)+1))))))+(-(-(-(-(((1/2500000)*((529543*x^3)+(1001605*x^2)+(584931*x)+584291))/(x^4+x^3+x^2+x+1))))))+(-(-(-(-(((1/100000)*(((8523*x^3)+(165*x^2)+(3103*x))-2463))/((((x^4-x^3)+x^2)-x)+1))))))+(-(-(-(-(((1/800)*x)/(x^2+1))))))+(-(-(-(-(((1/200)*(((2*x^19)+(3*x^18)+(4*x^17)+(5*x^16)+(6*x^15)+(9*x^14)+(11*x^13)+(8*x^12)+(10*x^11)+(7*x^10)+(11*x^9)+(9*x^8)+(7*x^7)+(5*x^6)+(3*x^5)+(3*x^4)+(2*x^3)+x^2)-1))/(x^20+x^15+x^10+x^5+1)^2)))))+(-(-(-(-(((1/40)*(((2*x^19)+(3*x^18)+(4*x^17)+(5*x^16)+(6*x^15)+(5*x^14)+(5*x^13)+(4*x^12)+(4*x^11)+(3*x^10)+(5*x^9)+(5*x^8)+(5*x^7)+(5*x^6)+(5*x^5)+(3*x^4)+(2*x^3)+x^2)-1))/((((x^20-x^15)+x^10)-x^5)+1)^2)))))+(-(-(-(((1/500000)*((28177*x^3)+(28817*x^2)+(3520*x)+2586))/(x^4+x^3+x^2+x+1)^2))))+(-(-(-(((1/20000)*((79*x^3)+(81*x^2)+4))/((((x^4-x^3)+x^2)-x)+1)^2))))+(-(-(-(221584187/40000000/(x-1)))))+(-(-(-(((1/4000)*x^2)/((((x^4-x^3)+x^2)-x)+1)^3))))+(-(-(-(((1/100000)*((332*x^3)-(129*x^2)-(598*x)-310))/(x^4+x^3+x^2+x+1)^3))))+(-(-(-(11499/1600000/(x+1)^2))))+(-(-(-(25184071/40000000/(x-1)^2))))+(-(-(-(((1/10000)*(x^3+(4*x^2)+(4*x)+1))/(x^4+x^3+x^2+x+1)^4))))+(-(-(41/200000/(x+1)^3)))+(-(-(48749/500000/(x-1)^3)))+(-(1/400000/(x+1)^4))+(-(559/100000/(x-1)^4))+(-(81/500000/(x-1)^5))+(1/500000/(x-1)^6))))))+(((1/5)*((15*x^3)+(4*x^2)+(8*x)+9))/((((x^4-x^3)+x^2)-x)+1))+(-(-(((1/5)*((11*x^3)+(16*x^2)+(15*x)+8))/(x^4+x^3+x^2+x+1))))+(-(-(((1/2)*((2*x^3)+(2*x^2)+x))/(x^4+x^3+x^2+x+1)^2)))+(-(-(((1/2)*(((2*x^2)-x)+2))/((((x^4-x^3)+x^2)-x)+1)^2)))+(-(1/2/(x+1)))+(-(33/10/(x-1)))+(9/20/(x-1)^2))
A257890 = (((40000000/221584187)*differential((A001312+(-((-(((1/20)*(((((116*x^39)+(119*x^38)+(122*x^37)+(125*x^36)+(128*x^35)+(131*x^34)+(134*x^33)+(131*x^32)+(134*x^31)+(131*x^30)+(18*x^29)+(12*x^28)+(6*x^27))-(6*x^25)-(12*x^24)-(18*x^23)-(22*x^22)-(28*x^21)-(32*x^20))+(78*x^19)+(77*x^18)+(76*x^17)+(75*x^16)+(74*x^15)+(73*x^14)+(72*x^13)+(68*x^12)+(67*x^11)+(63*x^10))-(54*x^9)-(61*x^8)-(68*x^7)-(75*x^6)-(82*x^5)-(89*x^4)-(96*x^3)-(99*x^2)-(106*x)-109))/((((x^40-x^30)+x^20)-x^10)+1)))+(-(-(-(-(-(((1/1000)*(((((106*x^19)+(99*x^18)+(22*x^17)+(15*x^16))-(62*x^15))+(37*x^14))-(47*x^13)-(51*x^12)-(135*x^11)-(139*x^10)-(117*x^9)-(128*x^8)-(139*x^7)-(150*x^6)-(161*x^5)-(66*x^4)-(84*x^3)-(82*x^2)-(100*x)-98))/(x^20+x^15+x^10+x^5+1)))))))+(-(-(-(-(-(((1/200)*(((58*x^19)+(97*x^18)+(122*x^17)+(161*x^16)+(186*x^15)+(167*x^14)+(153*x^13)+(123*x^12)+(109*x^11)+(79*x^10)+(123*x^9)+(132*x^8)+(141*x^7)+(150*x^6)+(159*x^5)+(110*x^4)+(80*x^3)+(46*x^2)+(16*x))-18))/((((x^20-x^15)+x^10)-x^5)+1)))))))+(-(-(-(-(((1/400)*(((((7*x^7)+(5*x^6))-(4*x^5)-(5*x^4))+x^3)-(8*x)-5))/((((x^8-x^6)+x^4)-x^2)+1))))))+(-(-(-(-(((1/2500000)*((529543*x^3)+(1001605*x^2)+(584931*x)+584291))/(x^4+x^3+x^2+x+1))))))+(-(-(-(-(((1/100000)*(((8523*x^3)+(165*x^2)+(3103*x))-2463))/((((x^4-x^3)+x^2)-x)+1))))))+(-(-(-(-(((1/800)*x)/(x^2+1))))))+(-(-(-(-(((1/200)*(((2*x^19)+(3*x^18)+(4*x^17)+(5*x^16)+(6*x^15)+(9*x^14)+(11*x^13)+(8*x^12)+(10*x^11)+(7*x^10)+(11*x^9)+(9*x^8)+(7*x^7)+(5*x^6)+(3*x^5)+(3*x^4)+(2*x^3)+x^2)-1))/(x^20+x^15+x^10+x^5+1)^2)))))+(-(-(-(-(((1/40)*(((2*x^19)+(3*x^18)+(4*x^17)+(5*x^16)+(6*x^15)+(5*x^14)+(5*x^13)+(4*x^12)+(4*x^11)+(3*x^10)+(5*x^9)+(5*x^8)+(5*x^7)+(5*x^6)+(5*x^5)+(3*x^4)+(2*x^3)+x^2)-1))/((((x^20-x^15)+x^10)-x^5)+1)^2)))))+(-(-(-(((1/500000)*((28177*x^3)+(28817*x^2)+(3520*x)+2586))/(x^4+x^3+x^2+x+1)^2))))+(-(-(-(((1/20000)*((79*x^3)+(81*x^2)+4))/((((x^4-x^3)+x^2)-x)+1)^2))))+(-(-(-(205757/1600000/(x+1)))))+(-(-(-(((1/4000)*x^2)/((((x^4-x^3)+x^2)-x)+1)^3))))+(-(-(-(((1/100000)*((332*x^3)-(129*x^2)-(598*x)-310))/(x^4+x^3+x^2+x+1)^3))))+(-(-(-(11499/1600000/(x+1)^2))))+(-(-(-(25184071/40000000/(x-1)^2))))+(-(-(-(((1/10000)*(x^3+(4*x^2)+(4*x)+1))/(x^4+x^3+x^2+x+1)^4))))+(-(-(41/200000/(x+1)^3)))+(-(-(48749/500000/(x-1)^3)))+(-(1/400000/(x+1)^4))+(-(559/100000/(x-1)^4))+(-(81/500000/(x-1)^5))+(1/500000/(x-1)^6))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257850 = (((80000/11499)*(A001312+(-((-(((1/20)*(((((116*x^39)+(119*x^38)+(122*x^37)+(125*x^36)+(128*x^35)+(131*x^34)+(134*x^33)+(131*x^32)+(134*x^31)+(131*x^30)+(18*x^29)+(12*x^28)+(6*x^27))-(6*x^25)-(12*x^24)-(18*x^23)-(22*x^22)-(28*x^21)-(32*x^20))+(78*x^19)+(77*x^18)+(76*x^17)+(75*x^16)+(74*x^15)+(73*x^14)+(72*x^13)+(68*x^12)+(67*x^11)+(63*x^10))-(54*x^9)-(61*x^8)-(68*x^7)-(75*x^6)-(82*x^5)-(89*x^4)-(96*x^3)-(99*x^2)-(106*x)-109))/((((x^40-x^30)+x^20)-x^10)+1)))+(-(-(-(-(-(((1/1000)*(((((106*x^19)+(99*x^18)+(22*x^17)+(15*x^16))-(62*x^15))+(37*x^14))-(47*x^13)-(51*x^12)-(135*x^11)-(139*x^10)-(117*x^9)-(128*x^8)-(139*x^7)-(150*x^6)-(161*x^5)-(66*x^4)-(84*x^3)-(82*x^2)-(100*x)-98))/(x^20+x^15+x^10+x^5+1)))))))+(-(-(-(-(-(((1/200)*(((58*x^19)+(97*x^18)+(122*x^17)+(161*x^16)+(186*x^15)+(167*x^14)+(153*x^13)+(123*x^12)+(109*x^11)+(79*x^10)+(123*x^9)+(132*x^8)+(141*x^7)+(150*x^6)+(159*x^5)+(110*x^4)+(80*x^3)+(46*x^2)+(16*x))-18))/((((x^20-x^15)+x^10)-x^5)+1)))))))+(-(-(-(-(((1/400)*(((((7*x^7)+(5*x^6))-(4*x^5)-(5*x^4))+x^3)-(8*x)-5))/((((x^8-x^6)+x^4)-x^2)+1))))))+(-(-(-(-(((1/2500000)*((529543*x^3)+(1001605*x^2)+(584931*x)+584291))/(x^4+x^3+x^2+x+1))))))+(-(-(-(-(((1/100000)*(((8523*x^3)+(165*x^2)+(3103*x))-2463))/((((x^4-x^3)+x^2)-x)+1))))))+(-(-(-(-(((1/800)*x)/(x^2+1))))))+(-(-(-(-(((1/200)*(((2*x^19)+(3*x^18)+(4*x^17)+(5*x^16)+(6*x^15)+(9*x^14)+(11*x^13)+(8*x^12)+(10*x^11)+(7*x^10)+(11*x^9)+(9*x^8)+(7*x^7)+(5*x^6)+(3*x^5)+(3*x^4)+(2*x^3)+x^2)-1))/(x^20+x^15+x^10+x^5+1)^2)))))+(-(-(-(-(((1/40)*(((2*x^19)+(3*x^18)+(4*x^17)+(5*x^16)+(6*x^15)+(5*x^14)+(5*x^13)+(4*x^12)+(4*x^11)+(3*x^10)+(5*x^9)+(5*x^8)+(5*x^7)+(5*x^6)+(5*x^5)+(3*x^4)+(2*x^3)+x^2)-1))/((((x^20-x^15)+x^10)-x^5)+1)^2)))))+(-(-(-(((1/500000)*((28177*x^3)+(28817*x^2)+(3520*x)+2586))/(x^4+x^3+x^2+x+1)^2))))+(-(-(-(((1/20000)*((79*x^3)+(81*x^2)+4))/((((x^4-x^3)+x^2)-x)+1)^2))))+(-(-(-(205757/1600000/(x+1)))))+(-(-(-(221584187/40000000/(x-1)))))+(-(-(-(((1/4000)*x^2)/((((x^4-x^3)+x^2)-x)+1)^3))))+(-(-(-(((1/100000)*((332*x^3)-(129*x^2)-(598*x)-310))/(x^4+x^3+x^2+x+1)^3))))+(-(-(-(25184071/40000000/(x-1)^2))))+(-(-(-(((1/10000)*(x^3+(4*x^2)+(4*x)+1))/(x^4+x^3+x^2+x+1)^4))))+(-(-(41/200000/(x+1)^3)))+(-(-(48749/500000/(x-1)^3)))+(-(1/400000/(x+1)^4))+(-(559/100000/(x-1)^4))+(-(81/500000/(x-1)^5))+(1/500000/(x-1)^6)))))+(((1/5)*((15*x^3)+(4*x^2)+(8*x)+9))/((((x^4-x^3)+x^2)-x)+1))+(-(-(((1/5)*((11*x^3)+(16*x^2)+(15*x)+8))/(x^4+x^3+x^2+x+1))))+(-(-(((1/2)*((2*x^3)+(2*x^2)+x))/(x^4+x^3+x^2+x+1)^2)))+(-(-(((1/2)*(((2*x^2)-x)+2))/((((x^4-x^3)+x^2)-x)+1)^2)))+(-(1/2/(x+1)))+(-(33/10/(x-1)))+(9/20/(x-1)^2))
A257171 = (((-(100000/11499))*differential((A001312+(-((-(((1/20)*(((((116*x^39)+(119*x^38)+(122*x^37)+(125*x^36)+(128*x^35)+(131*x^34)+(134*x^33)+(131*x^32)+(134*x^31)+(131*x^30)+(18*x^29)+(12*x^28)+(6*x^27))-(6*x^25)-(12*x^24)-(18*x^23)-(22*x^22)-(28*x^21)-(32*x^20))+(78*x^19)+(77*x^18)+(76*x^17)+(75*x^16)+(74*x^15)+(73*x^14)+(72*x^13)+(68*x^12)+(67*x^11)+(63*x^10))-(54*x^9)-(61*x^8)-(68*x^7)-(75*x^6)-(82*x^5)-(89*x^4)-(96*x^3)-(99*x^2)-(106*x)-109))/((((x^40-x^30)+x^20)-x^10)+1)))+(-(-(-(-(-(((1/1000)*(((((106*x^19)+(99*x^18)+(22*x^17)+(15*x^16))-(62*x^15))+(37*x^14))-(47*x^13)-(51*x^12)-(135*x^11)-(139*x^10)-(117*x^9)-(128*x^8)-(139*x^7)-(150*x^6)-(161*x^5)-(66*x^4)-(84*x^3)-(82*x^2)-(100*x)-98))/(x^20+x^15+x^10+x^5+1)))))))+(-(-(-(-(-(((1/200)*(((58*x^19)+(97*x^18)+(122*x^17)+(161*x^16)+(186*x^15)+(167*x^14)+(153*x^13)+(123*x^12)+(109*x^11)+(79*x^10)+(123*x^9)+(132*x^8)+(141*x^7)+(150*x^6)+(159*x^5)+(110*x^4)+(80*x^3)+(46*x^2)+(16*x))-18))/((((x^20-x^15)+x^10)-x^5)+1)))))))+(-(-(-(-(((1/400)*(((((7*x^7)+(5*x^6))-(4*x^5)-(5*x^4))+x^3)-(8*x)-5))/((((x^8-x^6)+x^4)-x^2)+1))))))+(-(-(-(-(((1/2500000)*((529543*x^3)+(1001605*x^2)+(584931*x)+584291))/(x^4+x^3+x^2+x+1))))))+(-(-(-(-(((1/100000)*(((8523*x^3)+(165*x^2)+(3103*x))-2463))/((((x^4-x^3)+x^2)-x)+1))))))+(-(-(-(-(((1/800)*x)/(x^2+1))))))+(-(-(-(-(((1/200)*(((2*x^19)+(3*x^18)+(4*x^17)+(5*x^16)+(6*x^15)+(9*x^14)+(11*x^13)+(8*x^12)+(10*x^11)+(7*x^10)+(11*x^9)+(9*x^8)+(7*x^7)+(5*x^6)+(3*x^5)+(3*x^4)+(2*x^3)+x^2)-1))/(x^20+x^15+x^10+x^5+1)^2)))))+(-(-(-(-(((1/40)*(((2*x^19)+(3*x^18)+(4*x^17)+(5*x^16)+(6*x^15)+(5*x^14)+(5*x^13)+(4*x^12)+(4*x^11)+(3*x^10)+(5*x^9)+(5*x^8)+(5*x^7)+(5*x^6)+(5*x^5)+(3*x^4)+(2*x^3)+x^2)-1))/((((x^20-x^15)+x^10)-x^5)+1)^2)))))+(-(-(-(((1/500000)*((28177*x^3)+(28817*x^2)+(3520*x)+2586))/(x^4+x^3+x^2+x+1)^2))))+(-(-(-(((1/20000)*((79*x^3)+(81*x^2)+4))/((((x^4-x^3)+x^2)-x)+1)^2))))+(-(-(-(205757/1600000/(x+1)))))+(-(-(-(221584187/40000000/(x-1)))))+(-(-(-(((1/4000)*x^2)/((((x^4-x^3)+x^2)-x)+1)^3))))+(-(-(-(((1/100000)*((332*x^3)-(129*x^2)-(598*x)-310))/(x^4+x^3+x^2+x+1)^3))))+(-(-(-(25184071/40000000/(x-1)^2))))+(-(-(-(((1/10000)*(x^3+(4*x^2)+(4*x)+1))/(x^4+x^3+x^2+x+1)^4))))+(-(-(41/200000/(x+1)^3)))+(-(-(48749/500000/(x-1)^3)))+(-(1/400000/(x+1)^4))+(-(559/100000/(x-1)^4))+(-(81/500000/(x-1)^5))+(1/500000/(x-1)^6))))))+(2*x)+(-(-(3/8/(x+1))))+(-(-(3/8/(x-1))))+(-(3/4/(x-1)^2))+(-(3/8/(x-1)^3))+(-(3/4/(x-1)^4))+(-1))
A257890 = (((-(40000000/25184071))*(A001312+(-((-(((1/20)*(((((116*x^39)+(119*x^38)+(122*x^37)+(125*x^36)+(128*x^35)+(131*x^34)+(134*x^33)+(131*x^32)+(134*x^31)+(131*x^30)+(18*x^29)+(12*x^28)+(6*x^27))-(6*x^25)-(12*x^24)-(18*x^23)-(22*x^22)-(28*x^21)-(32*x^20))+(78*x^19)+(77*x^18)+(76*x^17)+(75*x^16)+(74*x^15)+(73*x^14)+(72*x^13)+(68*x^12)+(67*x^11)+(63*x^10))-(54*x^9)-(61*x^8)-(68*x^7)-(75*x^6)-(82*x^5)-(89*x^4)-(96*x^3)-(99*x^2)-(106*x)-109))/((((x^40-x^30)+x^20)-x^10)+1)))+(-(-(-(-(-(((1/1000)*(((((106*x^19)+(99*x^18)+(22*x^17)+(15*x^16))-(62*x^15))+(37*x^14))-(47*x^13)-(51*x^12)-(135*x^11)-(139*x^10)-(117*x^9)-(128*x^8)-(139*x^7)-(150*x^6)-(161*x^5)-(66*x^4)-(84*x^3)-(82*x^2)-(100*x)-98))/(x^20+x^15+x^10+x^5+1)))))))+(-(-(-(-(-(((1/200)*(((58*x^19)+(97*x^18)+(122*x^17)+(161*x^16)+(186*x^15)+(167*x^14)+(153*x^13)+(123*x^12)+(109*x^11)+(79*x^10)+(123*x^9)+(132*x^8)+(141*x^7)+(150*x^6)+(159*x^5)+(110*x^4)+(80*x^3)+(46*x^2)+(16*x))-18))/((((x^20-x^15)+x^10)-x^5)+1)))))))+(-(-(-(-(((1/400)*(((((7*x^7)+(5*x^6))-(4*x^5)-(5*x^4))+x^3)-(8*x)-5))/((((x^8-x^6)+x^4)-x^2)+1))))))+(-(-(-(-(((1/2500000)*((529543*x^3)+(1001605*x^2)+(584931*x)+584291))/(x^4+x^3+x^2+x+1))))))+(-(-(-(-(((1/100000)*(((8523*x^3)+(165*x^2)+(3103*x))-2463))/((((x^4-x^3)+x^2)-x)+1))))))+(-(-(-(-(((1/800)*x)/(x^2+1))))))+(-(-(-(-(((1/200)*(((2*x^19)+(3*x^18)+(4*x^17)+(5*x^16)+(6*x^15)+(9*x^14)+(11*x^13)+(8*x^12)+(10*x^11)+(7*x^10)+(11*x^9)+(9*x^8)+(7*x^7)+(5*x^6)+(3*x^5)+(3*x^4)+(2*x^3)+x^2)-1))/(x^20+x^15+x^10+x^5+1)^2)))))+(-(-(-(-(((1/40)*(((2*x^19)+(3*x^18)+(4*x^17)+(5*x^16)+(6*x^15)+(5*x^14)+(5*x^13)+(4*x^12)+(4*x^11)+(3*x^10)+(5*x^9)+(5*x^8)+(5*x^7)+(5*x^6)+(5*x^5)+(3*x^4)+(2*x^3)+x^2)-1))/((((x^20-x^15)+x^10)-x^5)+1)^2)))))+(-(-(-(((1/500000)*((28177*x^3)+(28817*x^2)+(3520*x)+2586))/(x^4+x^3+x^2+x+1)^2))))+(-(-(-(((1/20000)*((79*x^3)+(81*x^2)+4))/((((x^4-x^3)+x^2)-x)+1)^2))))+(-(-(-(205757/1600000/(x+1)))))+(-(-(-(221584187/40000000/(x-1)))))+(-(-(-(((1/4000)*x^2)/((((x^4-x^3)+x^2)-x)+1)^3))))+(-(-(-(((1/100000)*((332*x^3)-(129*x^2)-(598*x)-310))/(x^4+x^3+x^2+x+1)^3))))+(-(-(-(11499/1600000/(x+1)^2))))+(-(-(-(((1/10000)*(x^3+(4*x^2)+(4*x)+1))/(x^4+x^3+x^2+x+1)^4))))+(-(-(41/200000/(x+1)^3)))+(-(-(48749/500000/(x-1)^3)))+(-(1/400000/(x+1)^4))+(-(559/100000/(x-1)^4))+(-(81/500000/(x-1)^5))+(1/500000/(x-1)^6)))))+(1/(x-1)^4)+(1/(x-1)^6))
A257464 = (((-(17500000/75552213))*differential((A001312+(-((-(((1/20)*(((((116*x^39)+(119*x^38)+(122*x^37)+(125*x^36)+(128*x^35)+(131*x^34)+(134*x^33)+(131*x^32)+(134*x^31)+(131*x^30)+(18*x^29)+(12*x^28)+(6*x^27))-(6*x^25)-(12*x^24)-(18*x^23)-(22*x^22)-(28*x^21)-(32*x^20))+(78*x^19)+(77*x^18)+(76*x^17)+(75*x^16)+(74*x^15)+(73*x^14)+(72*x^13)+(68*x^12)+(67*x^11)+(63*x^10))-(54*x^9)-(61*x^8)-(68*x^7)-(75*x^6)-(82*x^5)-(89*x^4)-(96*x^3)-(99*x^2)-(106*x)-109))/((((x^40-x^30)+x^20)-x^10)+1)))+(-(-(-(-(-(((1/1000)*(((((106*x^19)+(99*x^18)+(22*x^17)+(15*x^16))-(62*x^15))+(37*x^14))-(47*x^13)-(51*x^12)-(135*x^11)-(139*x^10)-(117*x^9)-(128*x^8)-(139*x^7)-(150*x^6)-(161*x^5)-(66*x^4)-(84*x^3)-(82*x^2)-(100*x)-98))/(x^20+x^15+x^10+x^5+1)))))))+(-(-(-(-(-(((1/200)*(((58*x^19)+(97*x^18)+(122*x^17)+(161*x^16)+(186*x^15)+(167*x^14)+(153*x^13)+(123*x^12)+(109*x^11)+(79*x^10)+(123*x^9)+(132*x^8)+(141*x^7)+(150*x^6)+(159*x^5)+(110*x^4)+(80*x^3)+(46*x^2)+(16*x))-18))/((((x^20-x^15)+x^10)-x^5)+1)))))))+(-(-(-(-(((1/400)*(((((7*x^7)+(5*x^6))-(4*x^5)-(5*x^4))+x^3)-(8*x)-5))/((((x^8-x^6)+x^4)-x^2)+1))))))+(-(-(-(-(((1/2500000)*((529543*x^3)+(1001605*x^2)+(584931*x)+584291))/(x^4+x^3+x^2+x+1))))))+(-(-(-(-(((1/100000)*(((8523*x^3)+(165*x^2)+(3103*x))-2463))/((((x^4-x^3)+x^2)-x)+1))))))+(-(-(-(-(((1/800)*x)/(x^2+1))))))+(-(-(-(-(((1/200)*(((2*x^19)+(3*x^18)+(4*x^17)+(5*x^16)+(6*x^15)+(9*x^14)+(11*x^13)+(8*x^12)+(10*x^11)+(7*x^10)+(11*x^9)+(9*x^8)+(7*x^7)+(5*x^6)+(3*x^5)+(3*x^4)+(2*x^3)+x^2)-1))/(x^20+x^15+x^10+x^5+1)^2)))))+(-(-(-(-(((1/40)*(((2*x^19)+(3*x^18)+(4*x^17)+(5*x^16)+(6*x^15)+(5*x^14)+(5*x^13)+(4*x^12)+(4*x^11)+(3*x^10)+(5*x^9)+(5*x^8)+(5*x^7)+(5*x^6)+(5*x^5)+(3*x^4)+(2*x^3)+x^2)-1))/((((x^20-x^15)+x^10)-x^5)+1)^2)))))+(-(-(-(((1/500000)*((28177*x^3)+(28817*x^2)+(3520*x)+2586))/(x^4+x^3+x^2+x+1)^2))))+(-(-(-(((1/20000)*((79*x^3)+(81*x^2)+4))/((((x^4-x^3)+x^2)-x)+1)^2))))+(-(-(-(205757/1600000/(x+1)))))+(-(-(-(221584187/40000000/(x-1)))))+(-(-(-(((1/4000)*x^2)/((((x^4-x^3)+x^2)-x)+1)^3))))+(-(-(-(((1/100000)*((332*x^3)-(129*x^2)-(598*x)-310))/(x^4+x^3+x^2+x+1)^3))))+(-(-(-(11499/1600000/(x+1)^2))))+(-(-(-(((1/10000)*(x^3+(4*x^2)+(4*x)+1))/(x^4+x^3+x^2+x+1)^4))))+(-(-(41/200000/(x+1)^3)))+(-(-(48749/500000/(x-1)^3)))+(-(1/400000/(x+1)^4))+(-(559/100000/(x-1)^4))+(-(81/500000/(x-1)^5))+(1/500000/(x-1)^6))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257171 = (((-(25000/41))*(A001312+(-((-(((1/20)*(((((116*x^39)+(119*x^38)+(122*x^37)+(125*x^36)+(128*x^35)+(131*x^34)+(134*x^33)+(131*x^32)+(134*x^31)+(131*x^30)+(18*x^29)+(12*x^28)+(6*x^27))-(6*x^25)-(12*x^24)-(18*x^23)-(22*x^22)-(28*x^21)-(32*x^20))+(78*x^19)+(77*x^18)+(76*x^17)+(75*x^16)+(74*x^15)+(73*x^14)+(72*x^13)+(68*x^12)+(67*x^11)+(63*x^10))-(54*x^9)-(61*x^8)-(68*x^7)-(75*x^6)-(82*x^5)-(89*x^4)-(96*x^3)-(99*x^2)-(106*x)-109))/((((x^40-x^30)+x^20)-x^10)+1)))+(-(-(-(-(-(((1/1000)*(((((106*x^19)+(99*x^18)+(22*x^17)+(15*x^16))-(62*x^15))+(37*x^14))-(47*x^13)-(51*x^12)-(135*x^11)-(139*x^10)-(117*x^9)-(128*x^8)-(139*x^7)-(150*x^6)-(161*x^5)-(66*x^4)-(84*x^3)-(82*x^2)-(100*x)-98))/(x^20+x^15+x^10+x^5+1)))))))+(-(-(-(-(-(((1/200)*(((58*x^19)+(97*x^18)+(122*x^17)+(161*x^16)+(186*x^15)+(167*x^14)+(153*x^13)+(123*x^12)+(109*x^11)+(79*x^10)+(123*x^9)+(132*x^8)+(141*x^7)+(150*x^6)+(159*x^5)+(110*x^4)+(80*x^3)+(46*x^2)+(16*x))-18))/((((x^20-x^15)+x^10)-x^5)+1)))))))+(-(-(-(-(((1/400)*(((((7*x^7)+(5*x^6))-(4*x^5)-(5*x^4))+x^3)-(8*x)-5))/((((x^8-x^6)+x^4)-x^2)+1))))))+(-(-(-(-(((1/2500000)*((529543*x^3)+(1001605*x^2)+(584931*x)+584291))/(x^4+x^3+x^2+x+1))))))+(-(-(-(-(((1/100000)*(((8523*x^3)+(165*x^2)+(3103*x))-2463))/((((x^4-x^3)+x^2)-x)+1))))))+(-(-(-(-(((1/800)*x)/(x^2+1))))))+(-(-(-(-(((1/200)*(((2*x^19)+(3*x^18)+(4*x^17)+(5*x^16)+(6*x^15)+(9*x^14)+(11*x^13)+(8*x^12)+(10*x^11)+(7*x^10)+(11*x^9)+(9*x^8)+(7*x^7)+(5*x^6)+(3*x^5)+(3*x^4)+(2*x^3)+x^2)-1))/(x^20+x^15+x^10+x^5+1)^2)))))+(-(-(-(-(((1/40)*(((2*x^19)+(3*x^18)+(4*x^17)+(5*x^16)+(6*x^15)+(5*x^14)+(5*x^13)+(4*x^12)+(4*x^11)+(3*x^10)+(5*x^9)+(5*x^8)+(5*x^7)+(5*x^6)+(5*x^5)+(3*x^4)+(2*x^3)+x^2)-1))/((((x^20-x^15)+x^10)-x^5)+1)^2)))))+(-(-(-(((1/500000)*((28177*x^3)+(28817*x^2)+(3520*x)+2586))/(x^4+x^3+x^2+x+1)^2))))+(-(-(-(((1/20000)*((79*x^3)+(81*x^2)+4))/((((x^4-x^3)+x^2)-x)+1)^2))))+(-(-(-(205757/1600000/(x+1)))))+(-(-(-(221584187/40000000/(x-1)))))+(-(-(-(((1/4000)*x^2)/((((x^4-x^3)+x^2)-x)+1)^3))))+(-(-(-(((1/100000)*((332*x^3)-(129*x^2)-(598*x)-310))/(x^4+x^3+x^2+x+1)^3))))+(-(-(-(11499/1600000/(x+1)^2))))+(-(-(-(25184071/40000000/(x-1)^2))))+(-(-(-(((1/10000)*(x^3+(4*x^2)+(4*x)+1))/(x^4+x^3+x^2+x+1)^4))))+(-(-(48749/500000/(x-1)^3)))+(-(1/400000/(x+1)^4))+(-(559/100000/(x-1)^4))+(-(81/500000/(x-1)^5))+(1/500000/(x-1)^6)))))+(2*x)+(-(-(3/8/(x+1))))+(-(-(3/8/(x-1))))+(-(3/4/(x-1)^2))+(-(3/8/(x-1)^3))+(-(3/4/(x-1)^4))+(-1))
A257850 = (((20000/41)*integrate((A001312+(-((-(((1/20)*(((((116*x^39)+(119*x^38)+(122*x^37)+(125*x^36)+(128*x^35)+(131*x^34)+(134*x^33)+(131*x^32)+(134*x^31)+(131*x^30)+(18*x^29)+(12*x^28)+(6*x^27))-(6*x^25)-(12*x^24)-(18*x^23)-(22*x^22)-(28*x^21)-(32*x^20))+(78*x^19)+(77*x^18)+(76*x^17)+(75*x^16)+(74*x^15)+(73*x^14)+(72*x^13)+(68*x^12)+(67*x^11)+(63*x^10))-(54*x^9)-(61*x^8)-(68*x^7)-(75*x^6)-(82*x^5)-(89*x^4)-(96*x^3)-(99*x^2)-(106*x)-109))/((((x^40-x^30)+x^20)-x^10)+1)))+(-(-(-(-(-(((1/1000)*(((((106*x^19)+(99*x^18)+(22*x^17)+(15*x^16))-(62*x^15))+(37*x^14))-(47*x^13)-(51*x^12)-(135*x^11)-(139*x^10)-(117*x^9)-(128*x^8)-(139*x^7)-(150*x^6)-(161*x^5)-(66*x^4)-(84*x^3)-(82*x^2)-(100*x)-98))/(x^20+x^15+x^10+x^5+1)))))))+(-(-(-(-(-(((1/200)*(((58*x^19)+(97*x^18)+(122*x^17)+(161*x^16)+(186*x^15)+(167*x^14)+(153*x^13)+(123*x^12)+(109*x^11)+(79*x^10)+(123*x^9)+(132*x^8)+(141*x^7)+(150*x^6)+(159*x^5)+(110*x^4)+(80*x^3)+(46*x^2)+(16*x))-18))/((((x^20-x^15)+x^10)-x^5)+1)))))))+(-(-(-(-(((1/400)*(((((7*x^7)+(5*x^6))-(4*x^5)-(5*x^4))+x^3)-(8*x)-5))/((((x^8-x^6)+x^4)-x^2)+1))))))+(-(-(-(-(((1/2500000)*((529543*x^3)+(1001605*x^2)+(584931*x)+584291))/(x^4+x^3+x^2+x+1))))))+(-(-(-(-(((1/100000)*(((8523*x^3)+(165*x^2)+(3103*x))-2463))/((((x^4-x^3)+x^2)-x)+1))))))+(-(-(-(-(((1/800)*x)/(x^2+1))))))+(-(-(-(-(((1/200)*(((2*x^19)+(3*x^18)+(4*x^17)+(5*x^16)+(6*x^15)+(9*x^14)+(11*x^13)+(8*x^12)+(10*x^11)+(7*x^10)+(11*x^9)+(9*x^8)+(7*x^7)+(5*x^6)+(3*x^5)+(3*x^4)+(2*x^3)+x^2)-1))/(x^20+x^15+x^10+x^5+1)^2)))))+(-(-(-(-(((1/40)*(((2*x^19)+(3*x^18)+(4*x^17)+(5*x^16)+(6*x^15)+(5*x^14)+(5*x^13)+(4*x^12)+(4*x^11)+(3*x^10)+(5*x^9)+(5*x^8)+(5*x^7)+(5*x^6)+(5*x^5)+(3*x^4)+(2*x^3)+x^2)-1))/((((x^20-x^15)+x^10)-x^5)+1)^2)))))+(-(-(-(((1/500000)*((28177*x^3)+(28817*x^2)+(3520*x)+2586))/(x^4+x^3+x^2+x+1)^2))))+(-(-(-(((1/20000)*((79*x^3)+(81*x^2)+4))/((((x^4-x^3)+x^2)-x)+1)^2))))+(-(-(-(205757/1600000/(x+1)))))+(-(-(-(221584187/40000000/(x-1)))))+(-(-(-(((1/4000)*x^2)/((((x^4-x^3)+x^2)-x)+1)^3))))+(-(-(-(((1/100000)*((332*x^3)-(129*x^2)-(598*x)-310))/(x^4+x^3+x^2+x+1)^3))))+(-(-(-(11499/1600000/(x+1)^2))))+(-(-(-(25184071/40000000/(x-1)^2))))+(-(-(-(((1/10000)*(x^3+(4*x^2)+(4*x)+1))/(x^4+x^3+x^2+x+1)^4))))+(-(-(48749/500000/(x-1)^3)))+(-(1/400000/(x+1)^4))+(-(559/100000/(x-1)^4))+(-(81/500000/(x-1)^5))+(1/500000/(x-1)^6))))))+(((1/5)*((15*x^3)+(4*x^2)+(8*x)+9))/((((x^4-x^3)+x^2)-x)+1))+(-(-(((1/5)*((11*x^3)+(16*x^2)+(15*x)+8))/(x^4+x^3+x^2+x+1))))+(-(-(((1/2)*((2*x^3)+(2*x^2)+x))/(x^4+x^3+x^2+x+1)^2)))+(-(-(((1/2)*(((2*x^2)-x)+2))/((((x^4-x^3)+x^2)-x)+1)^2)))+(-(1/2/(x+1)))+(-(33/10/(x-1)))+(9/20/(x-1)^2))
A254233 = (((-(3125/246))*differential((A001312+(-((-(((1/20)*(((((116*x^39)+(119*x^38)+(122*x^37)+(125*x^36)+(128*x^35)+(131*x^34)+(134*x^33)+(131*x^32)+(134*x^31)+(131*x^30)+(18*x^29)+(12*x^28)+(6*x^27))-(6*x^25)-(12*x^24)-(18*x^23)-(22*x^22)-(28*x^21)-(32*x^20))+(78*x^19)+(77*x^18)+(76*x^17)+(75*x^16)+(74*x^15)+(73*x^14)+(72*x^13)+(68*x^12)+(67*x^11)+(63*x^10))-(54*x^9)-(61*x^8)-(68*x^7)-(75*x^6)-(82*x^5)-(89*x^4)-(96*x^3)-(99*x^2)-(106*x)-109))/((((x^40-x^30)+x^20)-x^10)+1)))+(-(-(-(-(-(((1/1000)*(((((106*x^19)+(99*x^18)+(22*x^17)+(15*x^16))-(62*x^15))+(37*x^14))-(47*x^13)-(51*x^12)-(135*x^11)-(139*x^10)-(117*x^9)-(128*x^8)-(139*x^7)-(150*x^6)-(161*x^5)-(66*x^4)-(84*x^3)-(82*x^2)-(100*x)-98))/(x^20+x^15+x^10+x^5+1)))))))+(-(-(-(-(-(((1/200)*(((58*x^19)+(97*x^18)+(122*x^17)+(161*x^16)+(186*x^15)+(167*x^14)+(153*x^13)+(123*x^12)+(109*x^11)+(79*x^10)+(123*x^9)+(132*x^8)+(141*x^7)+(150*x^6)+(159*x^5)+(110*x^4)+(80*x^3)+(46*x^2)+(16*x))-18))/((((x^20-x^15)+x^10)-x^5)+1)))))))+(-(-(-(-(((1/400)*(((((7*x^7)+(5*x^6))-(4*x^5)-(5*x^4))+x^3)-(8*x)-5))/((((x^8-x^6)+x^4)-x^2)+1))))))+(-(-(-(-(((1/2500000)*((529543*x^3)+(1001605*x^2)+(584931*x)+584291))/(x^4+x^3+x^2+x+1))))))+(-(-(-(-(((1/100000)*(((8523*x^3)+(165*x^2)+(3103*x))-2463))/((((x^4-x^3)+x^2)-x)+1))))))+(-(-(-(-(((1/800)*x)/(x^2+1))))))+(-(-(-(-(((1/200)*(((2*x^19)+(3*x^18)+(4*x^17)+(5*x^16)+(6*x^15)+(9*x^14)+(11*x^13)+(8*x^12)+(10*x^11)+(7*x^10)+(11*x^9)+(9*x^8)+(7*x^7)+(5*x^6)+(3*x^5)+(3*x^4)+(2*x^3)+x^2)-1))/(x^20+x^15+x^10+x^5+1)^2)))))+(-(-(-(-(((1/40)*(((2*x^19)+(3*x^18)+(4*x^17)+(5*x^16)+(6*x^15)+(5*x^14)+(5*x^13)+(4*x^12)+(4*x^11)+(3*x^10)+(5*x^9)+(5*x^8)+(5*x^7)+(5*x^6)+(5*x^5)+(3*x^4)+(2*x^3)+x^2)-1))/((((x^20-x^15)+x^10)-x^5)+1)^2)))))+(-(-(-(((1/500000)*((28177*x^3)+(28817*x^2)+(3520*x)+2586))/(x^4+x^3+x^2+x+1)^2))))+(-(-(-(((1/20000)*((79*x^3)+(81*x^2)+4))/((((x^4-x^3)+x^2)-x)+1)^2))))+(-(-(-(205757/1600000/(x+1)))))+(-(-(-(221584187/40000000/(x-1)))))+(-(-(-(((1/4000)*x^2)/((((x^4-x^3)+x^2)-x)+1)^3))))+(-(-(-(((1/100000)*((332*x^3)-(129*x^2)-(598*x)-310))/(x^4+x^3+x^2+x+1)^3))))+(-(-(-(11499/1600000/(x+1)^2))))+(-(-(-(25184071/40000000/(x-1)^2))))+(-(-(-(((1/10000)*(x^3+(4*x^2)+(4*x)+1))/(x^4+x^3+x^2+x+1)^4))))+(-(-(48749/500000/(x-1)^3)))+(-(1/400000/(x+1)^4))+(-(559/100000/(x-1)^4))+(-(81/500000/(x-1)^5))+(1/500000/(x-1)^6))))))+(((1/972)*((113*x)+137))/(x^2+x+1))+(-(-(-(-(-(((1/12)*(x-1))/((x^2-x)+1)))))))+(-(-(-(-(3/32/(x^2+1))))))+(-(-(-(-(((1/162)*((12*x)+11))/(x^2+x+1)^2)))))+(-(-(-(-(41/384/(x+1))))))+(-(-(-(-(4345/31104/(x-1))))))+(-(-(-(83/1536/(x+1)^2))))+(-(-(-(9205/124416/(x-1)^2))))+(-(-(-(((1/27)*x)/(x^2+x+1)^3))))+(-(-(-(3/128/(x+1)^3))))+(-(-(-(3/64/(x-1)^3))))+(-(-(23/576/(x-1)^4)))+(-(-(5/144/(x-1)^5)))+(-(1/32/(x-1)^6))+(-(1/36/(x-1)^7))+(1/36/(x-1)^8))
A257464 = (((-(437500/146247))*(A001312+(-((-(((1/20)*(((((116*x^39)+(119*x^38)+(122*x^37)+(125*x^36)+(128*x^35)+(131*x^34)+(134*x^33)+(131*x^32)+(134*x^31)+(131*x^30)+(18*x^29)+(12*x^28)+(6*x^27))-(6*x^25)-(12*x^24)-(18*x^23)-(22*x^22)-(28*x^21)-(32*x^20))+(78*x^19)+(77*x^18)+(76*x^17)+(75*x^16)+(74*x^15)+(73*x^14)+(72*x^13)+(68*x^12)+(67*x^11)+(63*x^10))-(54*x^9)-(61*x^8)-(68*x^7)-(75*x^6)-(82*x^5)-(89*x^4)-(96*x^3)-(99*x^2)-(106*x)-109))/((((x^40-x^30)+x^20)-x^10)+1)))+(-(-(-(-(-(((1/1000)*(((((106*x^19)+(99*x^18)+(22*x^17)+(15*x^16))-(62*x^15))+(37*x^14))-(47*x^13)-(51*x^12)-(135*x^11)-(139*x^10)-(117*x^9)-(128*x^8)-(139*x^7)-(150*x^6)-(161*x^5)-(66*x^4)-(84*x^3)-(82*x^2)-(100*x)-98))/(x^20+x^15+x^10+x^5+1)))))))+(-(-(-(-(-(((1/200)*(((58*x^19)+(97*x^18)+(122*x^17)+(161*x^16)+(186*x^15)+(167*x^14)+(153*x^13)+(123*x^12)+(109*x^11)+(79*x^10)+(123*x^9)+(132*x^8)+(141*x^7)+(150*x^6)+(159*x^5)+(110*x^4)+(80*x^3)+(46*x^2)+(16*x))-18))/((((x^20-x^15)+x^10)-x^5)+1)))))))+(-(-(-(-(((1/400)*(((((7*x^7)+(5*x^6))-(4*x^5)-(5*x^4))+x^3)-(8*x)-5))/((((x^8-x^6)+x^4)-x^2)+1))))))+(-(-(-(-(((1/2500000)*((529543*x^3)+(1001605*x^2)+(584931*x)+584291))/(x^4+x^3+x^2+x+1))))))+(-(-(-(-(((1/100000)*(((8523*x^3)+(165*x^2)+(3103*x))-2463))/((((x^4-x^3)+x^2)-x)+1))))))+(-(-(-(-(((1/800)*x)/(x^2+1))))))+(-(-(-(-(((1/200)*(((2*x^19)+(3*x^18)+(4*x^17)+(5*x^16)+(6*x^15)+(9*x^14)+(11*x^13)+(8*x^12)+(10*x^11)+(7*x^10)+(11*x^9)+(9*x^8)+(7*x^7)+(5*x^6)+(3*x^5)+(3*x^4)+(2*x^3)+x^2)-1))/(x^20+x^15+x^10+x^5+1)^2)))))+(-(-(-(-(((1/40)*(((2*x^19)+(3*x^18)+(4*x^17)+(5*x^16)+(6*x^15)+(5*x^14)+(5*x^13)+(4*x^12)+(4*x^11)+(3*x^10)+(5*x^9)+(5*x^8)+(5*x^7)+(5*x^6)+(5*x^5)+(3*x^4)+(2*x^3)+x^2)-1))/((((x^20-x^15)+x^10)-x^5)+1)^2)))))+(-(-(-(((1/500000)*((28177*x^3)+(28817*x^2)+(3520*x)+2586))/(x^4+x^3+x^2+x+1)^2))))+(-(-(-(((1/20000)*((79*x^3)+(81*x^2)+4))/((((x^4-x^3)+x^2)-x)+1)^2))))+(-(-(-(205757/1600000/(x+1)))))+(-(-(-(221584187/40000000/(x-1)))))+(-(-(-(((1/4000)*x^2)/((((x^4-x^3)+x^2)-x)+1)^3))))+(-(-(-(((1/100000)*((332*x^3)-(129*x^2)-(598*x)-310))/(x^4+x^3+x^2+x+1)^3))))+(-(-(-(11499/1600000/(x+1)^2))))+(-(-(-(25184071/40000000/(x-1)^2))))+(-(-(-(((1/10000)*(x^3+(4*x^2)+(4*x)+1))/(x^4+x^3+x^2+x+1)^4))))+(-(-(41/200000/(x+1)^3)))+(-(1/400000/(x+1)^4))+(-(559/100000/(x-1)^4))+(-(81/500000/(x-1)^5))+(1/500000/(x-1)^6)))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257890 = (((-(1000000/48749))*integrate((A001312+(-((-(((1/20)*(((((116*x^39)+(119*x^38)+(122*x^37)+(125*x^36)+(128*x^35)+(131*x^34)+(134*x^33)+(131*x^32)+(134*x^31)+(131*x^30)+(18*x^29)+(12*x^28)+(6*x^27))-(6*x^25)-(12*x^24)-(18*x^23)-(22*x^22)-(28*x^21)-(32*x^20))+(78*x^19)+(77*x^18)+(76*x^17)+(75*x^16)+(74*x^15)+(73*x^14)+(72*x^13)+(68*x^12)+(67*x^11)+(63*x^10))-(54*x^9)-(61*x^8)-(68*x^7)-(75*x^6)-(82*x^5)-(89*x^4)-(96*x^3)-(99*x^2)-(106*x)-109))/((((x^40-x^30)+x^20)-x^10)+1)))+(-(-(-(-(-(((1/1000)*(((((106*x^19)+(99*x^18)+(22*x^17)+(15*x^16))-(62*x^15))+(37*x^14))-(47*x^13)-(51*x^12)-(135*x^11)-(139*x^10)-(117*x^9)-(128*x^8)-(139*x^7)-(150*x^6)-(161*x^5)-(66*x^4)-(84*x^3)-(82*x^2)-(100*x)-98))/(x^20+x^15+x^10+x^5+1)))))))+(-(-(-(-(-(((1/200)*(((58*x^19)+(97*x^18)+(122*x^17)+(161*x^16)+(186*x^15)+(167*x^14)+(153*x^13)+(123*x^12)+(109*x^11)+(79*x^10)+(123*x^9)+(132*x^8)+(141*x^7)+(150*x^6)+(159*x^5)+(110*x^4)+(80*x^3)+(46*x^2)+(16*x))-18))/((((x^20-x^15)+x^10)-x^5)+1)))))))+(-(-(-(-(((1/400)*(((((7*x^7)+(5*x^6))-(4*x^5)-(5*x^4))+x^3)-(8*x)-5))/((((x^8-x^6)+x^4)-x^2)+1))))))+(-(-(-(-(((1/2500000)*((529543*x^3)+(1001605*x^2)+(584931*x)+584291))/(x^4+x^3+x^2+x+1))))))+(-(-(-(-(((1/100000)*(((8523*x^3)+(165*x^2)+(3103*x))-2463))/((((x^4-x^3)+x^2)-x)+1))))))+(-(-(-(-(((1/800)*x)/(x^2+1))))))+(-(-(-(-(((1/200)*(((2*x^19)+(3*x^18)+(4*x^17)+(5*x^16)+(6*x^15)+(9*x^14)+(11*x^13)+(8*x^12)+(10*x^11)+(7*x^10)+(11*x^9)+(9*x^8)+(7*x^7)+(5*x^6)+(3*x^5)+(3*x^4)+(2*x^3)+x^2)-1))/(x^20+x^15+x^10+x^5+1)^2)))))+(-(-(-(-(((1/40)*(((2*x^19)+(3*x^18)+(4*x^17)+(5*x^16)+(6*x^15)+(5*x^14)+(5*x^13)+(4*x^12)+(4*x^11)+(3*x^10)+(5*x^9)+(5*x^8)+(5*x^7)+(5*x^6)+(5*x^5)+(3*x^4)+(2*x^3)+x^2)-1))/((((x^20-x^15)+x^10)-x^5)+1)^2)))))+(-(-(-(((1/500000)*((28177*x^3)+(28817*x^2)+(3520*x)+2586))/(x^4+x^3+x^2+x+1)^2))))+(-(-(-(((1/20000)*((79*x^3)+(81*x^2)+4))/((((x^4-x^3)+x^2)-x)+1)^2))))+(-(-(-(205757/1600000/(x+1)))))+(-(-(-(221584187/40000000/(x-1)))))+(-(-(-(((1/4000)*x^2)/((((x^4-x^3)+x^2)-x)+1)^3))))+(-(-(-(((1/100000)*((332*x^3)-(129*x^2)-(598*x)-310))/(x^4+x^3+x^2+x+1)^3))))+(-(-(-(11499/1600000/(x+1)^2))))+(-(-(-(25184071/40000000/(x-1)^2))))+(-(-(-(((1/10000)*(x^3+(4*x^2)+(4*x)+1))/(x^4+x^3+x^2+x+1)^4))))+(-(-(41/200000/(x+1)^3)))+(-(1/400000/(x+1)^4))+(-(559/100000/(x-1)^4))+(-(81/500000/(x-1)^5))+(1/500000/(x-1)^6))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257890 = (((-(500000/146247))*differential((A001312+(-((-(((1/20)*(((((116*x^39)+(119*x^38)+(122*x^37)+(125*x^36)+(128*x^35)+(131*x^34)+(134*x^33)+(131*x^32)+(134*x^31)+(131*x^30)+(18*x^29)+(12*x^28)+(6*x^27))-(6*x^25)-(12*x^24)-(18*x^23)-(22*x^22)-(28*x^21)-(32*x^20))+(78*x^19)+(77*x^18)+(76*x^17)+(75*x^16)+(74*x^15)+(73*x^14)+(72*x^13)+(68*x^12)+(67*x^11)+(63*x^10))-(54*x^9)-(61*x^8)-(68*x^7)-(75*x^6)-(82*x^5)-(89*x^4)-(96*x^3)-(99*x^2)-(106*x)-109))/((((x^40-x^30)+x^20)-x^10)+1)))+(-(-(-(-(-(((1/1000)*(((((106*x^19)+(99*x^18)+(22*x^17)+(15*x^16))-(62*x^15))+(37*x^14))-(47*x^13)-(51*x^12)-(135*x^11)-(139*x^10)-(117*x^9)-(128*x^8)-(139*x^7)-(150*x^6)-(161*x^5)-(66*x^4)-(84*x^3)-(82*x^2)-(100*x)-98))/(x^20+x^15+x^10+x^5+1)))))))+(-(-(-(-(-(((1/200)*(((58*x^19)+(97*x^18)+(122*x^17)+(161*x^16)+(186*x^15)+(167*x^14)+(153*x^13)+(123*x^12)+(109*x^11)+(79*x^10)+(123*x^9)+(132*x^8)+(141*x^7)+(150*x^6)+(159*x^5)+(110*x^4)+(80*x^3)+(46*x^2)+(16*x))-18))/((((x^20-x^15)+x^10)-x^5)+1)))))))+(-(-(-(-(((1/400)*(((((7*x^7)+(5*x^6))-(4*x^5)-(5*x^4))+x^3)-(8*x)-5))/((((x^8-x^6)+x^4)-x^2)+1))))))+(-(-(-(-(((1/2500000)*((529543*x^3)+(1001605*x^2)+(584931*x)+584291))/(x^4+x^3+x^2+x+1))))))+(-(-(-(-(((1/100000)*(((8523*x^3)+(165*x^2)+(3103*x))-2463))/((((x^4-x^3)+x^2)-x)+1))))))+(-(-(-(-(((1/800)*x)/(x^2+1))))))+(-(-(-(-(((1/200)*(((2*x^19)+(3*x^18)+(4*x^17)+(5*x^16)+(6*x^15)+(9*x^14)+(11*x^13)+(8*x^12)+(10*x^11)+(7*x^10)+(11*x^9)+(9*x^8)+(7*x^7)+(5*x^6)+(3*x^5)+(3*x^4)+(2*x^3)+x^2)-1))/(x^20+x^15+x^10+x^5+1)^2)))))+(-(-(-(-(((1/40)*(((2*x^19)+(3*x^18)+(4*x^17)+(5*x^16)+(6*x^15)+(5*x^14)+(5*x^13)+(4*x^12)+(4*x^11)+(3*x^10)+(5*x^9)+(5*x^8)+(5*x^7)+(5*x^6)+(5*x^5)+(3*x^4)+(2*x^3)+x^2)-1))/((((x^20-x^15)+x^10)-x^5)+1)^2)))))+(-(-(-(((1/500000)*((28177*x^3)+(28817*x^2)+(3520*x)+2586))/(x^4+x^3+x^2+x+1)^2))))+(-(-(-(((1/20000)*((79*x^3)+(81*x^2)+4))/((((x^4-x^3)+x^2)-x)+1)^2))))+(-(-(-(205757/1600000/(x+1)))))+(-(-(-(221584187/40000000/(x-1)))))+(-(-(-(((1/4000)*x^2)/((((x^4-x^3)+x^2)-x)+1)^3))))+(-(-(-(((1/100000)*((332*x^3)-(129*x^2)-(598*x)-310))/(x^4+x^3+x^2+x+1)^3))))+(-(-(-(11499/1600000/(x+1)^2))))+(-(-(-(25184071/40000000/(x-1)^2))))+(-(-(-(((1/10000)*(x^3+(4*x^2)+(4*x)+1))/(x^4+x^3+x^2+x+1)^4))))+(-(-(41/200000/(x+1)^3)))+(-(1/400000/(x+1)^4))+(-(559/100000/(x-1)^4))+(-(81/500000/(x-1)^5))+(1/500000/(x-1)^6))))))+(1/(x-1)^2)+(1/(x-1)^6))
A254233 = (((-3125)*(A001312+(-((-(((1/20)*(((((116*x^39)+(119*x^38)+(122*x^37)+(125*x^36)+(128*x^35)+(131*x^34)+(134*x^33)+(131*x^32)+(134*x^31)+(131*x^30)+(18*x^29)+(12*x^28)+(6*x^27))-(6*x^25)-(12*x^24)-(18*x^23)-(22*x^22)-(28*x^21)-(32*x^20))+(78*x^19)+(77*x^18)+(76*x^17)+(75*x^16)+(74*x^15)+(73*x^14)+(72*x^13)+(68*x^12)+(67*x^11)+(63*x^10))-(54*x^9)-(61*x^8)-(68*x^7)-(75*x^6)-(82*x^5)-(89*x^4)-(96*x^3)-(99*x^2)-(106*x)-109))/((((x^40-x^30)+x^20)-x^10)+1)))+(-(-(-(-(-(((1/1000)*(((((106*x^19)+(99*x^18)+(22*x^17)+(15*x^16))-(62*x^15))+(37*x^14))-(47*x^13)-(51*x^12)-(135*x^11)-(139*x^10)-(117*x^9)-(128*x^8)-(139*x^7)-(150*x^6)-(161*x^5)-(66*x^4)-(84*x^3)-(82*x^2)-(100*x)-98))/(x^20+x^15+x^10+x^5+1)))))))+(-(-(-(-(-(((1/200)*(((58*x^19)+(97*x^18)+(122*x^17)+(161*x^16)+(186*x^15)+(167*x^14)+(153*x^13)+(123*x^12)+(109*x^11)+(79*x^10)+(123*x^9)+(132*x^8)+(141*x^7)+(150*x^6)+(159*x^5)+(110*x^4)+(80*x^3)+(46*x^2)+(16*x))-18))/((((x^20-x^15)+x^10)-x^5)+1)))))))+(-(-(-(-(((1/400)*(((((7*x^7)+(5*x^6))-(4*x^5)-(5*x^4))+x^3)-(8*x)-5))/((((x^8-x^6)+x^4)-x^2)+1))))))+(-(-(-(-(((1/2500000)*((529543*x^3)+(1001605*x^2)+(584931*x)+584291))/(x^4+x^3+x^2+x+1))))))+(-(-(-(-(((1/100000)*(((8523*x^3)+(165*x^2)+(3103*x))-2463))/((((x^4-x^3)+x^2)-x)+1))))))+(-(-(-(-(((1/800)*x)/(x^2+1))))))+(-(-(-(-(((1/200)*(((2*x^19)+(3*x^18)+(4*x^17)+(5*x^16)+(6*x^15)+(9*x^14)+(11*x^13)+(8*x^12)+(10*x^11)+(7*x^10)+(11*x^9)+(9*x^8)+(7*x^7)+(5*x^6)+(3*x^5)+(3*x^4)+(2*x^3)+x^2)-1))/(x^20+x^15+x^10+x^5+1)^2)))))+(-(-(-(-(((1/40)*(((2*x^19)+(3*x^18)+(4*x^17)+(5*x^16)+(6*x^15)+(5*x^14)+(5*x^13)+(4*x^12)+(4*x^11)+(3*x^10)+(5*x^9)+(5*x^8)+(5*x^7)+(5*x^6)+(5*x^5)+(3*x^4)+(2*x^3)+x^2)-1))/((((x^20-x^15)+x^10)-x^5)+1)^2)))))+(-(-(-(((1/500000)*((28177*x^3)+(28817*x^2)+(3520*x)+2586))/(x^4+x^3+x^2+x+1)^2))))+(-(-(-(((1/20000)*((79*x^3)+(81*x^2)+4))/((((x^4-x^3)+x^2)-x)+1)^2))))+(-(-(-(205757/1600000/(x+1)))))+(-(-(-(221584187/40000000/(x-1)))))+(-(-(-(((1/4000)*x^2)/((((x^4-x^3)+x^2)-x)+1)^3))))+(-(-(-(((1/100000)*((332*x^3)-(129*x^2)-(598*x)-310))/(x^4+x^3+x^2+x+1)^3))))+(-(-(-(11499/1600000/(x+1)^2))))+(-(-(-(25184071/40000000/(x-1)^2))))+(-(-(-(((1/10000)*(x^3+(4*x^2)+(4*x)+1))/(x^4+x^3+x^2+x+1)^4))))+(-(-(41/200000/(x+1)^3)))+(-(-(48749/500000/(x-1)^3)))+(-(559/100000/(x-1)^4))+(-(81/500000/(x-1)^5))+(1/500000/(x-1)^6)))))+(((1/972)*((113*x)+137))/(x^2+x+1))+(-(-(-(-(-(((1/12)*(x-1))/((x^2-x)+1)))))))+(-(-(-(-(3/32/(x^2+1))))))+(-(-(-(-(((1/162)*((12*x)+11))/(x^2+x+1)^2)))))+(-(-(-(-(41/384/(x+1))))))+(-(-(-(-(4345/31104/(x-1))))))+(-(-(-(83/1536/(x+1)^2))))+(-(-(-(9205/124416/(x-1)^2))))+(-(-(-(((1/27)*x)/(x^2+x+1)^3))))+(-(-(-(3/128/(x+1)^3))))+(-(-(-(3/64/(x-1)^3))))+(-(-(23/576/(x-1)^4)))+(-(-(5/144/(x-1)^5)))+(-(1/32/(x-1)^6))+(-(1/36/(x-1)^7))+(1/36/(x-1)^8))
A257171 = (((-150000)*integrate((A001312+(-((-(((1/20)*(((((116*x^39)+(119*x^38)+(122*x^37)+(125*x^36)+(128*x^35)+(131*x^34)+(134*x^33)+(131*x^32)+(134*x^31)+(131*x^30)+(18*x^29)+(12*x^28)+(6*x^27))-(6*x^25)-(12*x^24)-(18*x^23)-(22*x^22)-(28*x^21)-(32*x^20))+(78*x^19)+(77*x^18)+(76*x^17)+(75*x^16)+(74*x^15)+(73*x^14)+(72*x^13)+(68*x^12)+(67*x^11)+(63*x^10))-(54*x^9)-(61*x^8)-(68*x^7)-(75*x^6)-(82*x^5)-(89*x^4)-(96*x^3)-(99*x^2)-(106*x)-109))/((((x^40-x^30)+x^20)-x^10)+1)))+(-(-(-(-(-(((1/1000)*(((((106*x^19)+(99*x^18)+(22*x^17)+(15*x^16))-(62*x^15))+(37*x^14))-(47*x^13)-(51*x^12)-(135*x^11)-(139*x^10)-(117*x^9)-(128*x^8)-(139*x^7)-(150*x^6)-(161*x^5)-(66*x^4)-(84*x^3)-(82*x^2)-(100*x)-98))/(x^20+x^15+x^10+x^5+1)))))))+(-(-(-(-(-(((1/200)*(((58*x^19)+(97*x^18)+(122*x^17)+(161*x^16)+(186*x^15)+(167*x^14)+(153*x^13)+(123*x^12)+(109*x^11)+(79*x^10)+(123*x^9)+(132*x^8)+(141*x^7)+(150*x^6)+(159*x^5)+(110*x^4)+(80*x^3)+(46*x^2)+(16*x))-18))/((((x^20-x^15)+x^10)-x^5)+1)))))))+(-(-(-(-(((1/400)*(((((7*x^7)+(5*x^6))-(4*x^5)-(5*x^4))+x^3)-(8*x)-5))/((((x^8-x^6)+x^4)-x^2)+1))))))+(-(-(-(-(((1/2500000)*((529543*x^3)+(1001605*x^2)+(584931*x)+584291))/(x^4+x^3+x^2+x+1))))))+(-(-(-(-(((1/100000)*(((8523*x^3)+(165*x^2)+(3103*x))-2463))/((((x^4-x^3)+x^2)-x)+1))))))+(-(-(-(-(((1/800)*x)/(x^2+1))))))+(-(-(-(-(((1/200)*(((2*x^19)+(3*x^18)+(4*x^17)+(5*x^16)+(6*x^15)+(9*x^14)+(11*x^13)+(8*x^12)+(10*x^11)+(7*x^10)+(11*x^9)+(9*x^8)+(7*x^7)+(5*x^6)+(3*x^5)+(3*x^4)+(2*x^3)+x^2)-1))/(x^20+x^15+x^10+x^5+1)^2)))))+(-(-(-(-(((1/40)*(((2*x^19)+(3*x^18)+(4*x^17)+(5*x^16)+(6*x^15)+(5*x^14)+(5*x^13)+(4*x^12)+(4*x^11)+(3*x^10)+(5*x^9)+(5*x^8)+(5*x^7)+(5*x^6)+(5*x^5)+(3*x^4)+(2*x^3)+x^2)-1))/((((x^20-x^15)+x^10)-x^5)+1)^2)))))+(-(-(-(((1/500000)*((28177*x^3)+(28817*x^2)+(3520*x)+2586))/(x^4+x^3+x^2+x+1)^2))))+(-(-(-(((1/20000)*((79*x^3)+(81*x^2)+4))/((((x^4-x^3)+x^2)-x)+1)^2))))+(-(-(-(205757/1600000/(x+1)))))+(-(-(-(221584187/40000000/(x-1)))))+(-(-(-(((1/4000)*x^2)/((((x^4-x^3)+x^2)-x)+1)^3))))+(-(-(-(((1/100000)*((332*x^3)-(129*x^2)-(598*x)-310))/(x^4+x^3+x^2+x+1)^3))))+(-(-(-(11499/1600000/(x+1)^2))))+(-(-(-(25184071/40000000/(x-1)^2))))+(-(-(-(((1/10000)*(x^3+(4*x^2)+(4*x)+1))/(x^4+x^3+x^2+x+1)^4))))+(-(-(41/200000/(x+1)^3)))+(-(-(48749/500000/(x-1)^3)))+(-(559/100000/(x-1)^4))+(-(81/500000/(x-1)^5))+(1/500000/(x-1)^6))))))+(2*x)+(-(-(3/8/(x+1))))+(-(-(3/8/(x-1))))+(-(3/4/(x-1)^2))+(-(3/8/(x-1)^3))+(-(3/4/(x-1)^4))+(-1))
A257890 = (((-(100000/559))*(A001312+(-((-(((1/20)*(((((116*x^39)+(119*x^38)+(122*x^37)+(125*x^36)+(128*x^35)+(131*x^34)+(134*x^33)+(131*x^32)+(134*x^31)+(131*x^30)+(18*x^29)+(12*x^28)+(6*x^27))-(6*x^25)-(12*x^24)-(18*x^23)-(22*x^22)-(28*x^21)-(32*x^20))+(78*x^19)+(77*x^18)+(76*x^17)+(75*x^16)+(74*x^15)+(73*x^14)+(72*x^13)+(68*x^12)+(67*x^11)+(63*x^10))-(54*x^9)-(61*x^8)-(68*x^7)-(75*x^6)-(82*x^5)-(89*x^4)-(96*x^3)-(99*x^2)-(106*x)-109))/((((x^40-x^30)+x^20)-x^10)+1)))+(-(-(-(-(-(((1/1000)*(((((106*x^19)+(99*x^18)+(22*x^17)+(15*x^16))-(62*x^15))+(37*x^14))-(47*x^13)-(51*x^12)-(135*x^11)-(139*x^10)-(117*x^9)-(128*x^8)-(139*x^7)-(150*x^6)-(161*x^5)-(66*x^4)-(84*x^3)-(82*x^2)-(100*x)-98))/(x^20+x^15+x^10+x^5+1)))))))+(-(-(-(-(-(((1/200)*(((58*x^19)+(97*x^18)+(122*x^17)+(161*x^16)+(186*x^15)+(167*x^14)+(153*x^13)+(123*x^12)+(109*x^11)+(79*x^10)+(123*x^9)+(132*x^8)+(141*x^7)+(150*x^6)+(159*x^5)+(110*x^4)+(80*x^3)+(46*x^2)+(16*x))-18))/((((x^20-x^15)+x^10)-x^5)+1)))))))+(-(-(-(-(((1/400)*(((((7*x^7)+(5*x^6))-(4*x^5)-(5*x^4))+x^3)-(8*x)-5))/((((x^8-x^6)+x^4)-x^2)+1))))))+(-(-(-(-(((1/2500000)*((529543*x^3)+(1001605*x^2)+(584931*x)+584291))/(x^4+x^3+x^2+x+1))))))+(-(-(-(-(((1/100000)*(((8523*x^3)+(165*x^2)+(3103*x))-2463))/((((x^4-x^3)+x^2)-x)+1))))))+(-(-(-(-(((1/800)*x)/(x^2+1))))))+(-(-(-(-(((1/200)*(((2*x^19)+(3*x^18)+(4*x^17)+(5*x^16)+(6*x^15)+(9*x^14)+(11*x^13)+(8*x^12)+(10*x^11)+(7*x^10)+(11*x^9)+(9*x^8)+(7*x^7)+(5*x^6)+(3*x^5)+(3*x^4)+(2*x^3)+x^2)-1))/(x^20+x^15+x^10+x^5+1)^2)))))+(-(-(-(-(((1/40)*(((2*x^19)+(3*x^18)+(4*x^17)+(5*x^16)+(6*x^15)+(5*x^14)+(5*x^13)+(4*x^12)+(4*x^11)+(3*x^10)+(5*x^9)+(5*x^8)+(5*x^7)+(5*x^6)+(5*x^5)+(3*x^4)+(2*x^3)+x^2)-1))/((((x^20-x^15)+x^10)-x^5)+1)^2)))))+(-(-(-(((1/500000)*((28177*x^3)+(28817*x^2)+(3520*x)+2586))/(x^4+x^3+x^2+x+1)^2))))+(-(-(-(((1/20000)*((79*x^3)+(81*x^2)+4))/((((x^4-x^3)+x^2)-x)+1)^2))))+(-(-(-(205757/1600000/(x+1)))))+(-(-(-(221584187/40000000/(x-1)))))+(-(-(-(((1/4000)*x^2)/((((x^4-x^3)+x^2)-x)+1)^3))))+(-(-(-(((1/100000)*((332*x^3)-(129*x^2)-(598*x)-310))/(x^4+x^3+x^2+x+1)^3))))+(-(-(-(11499/1600000/(x+1)^2))))+(-(-(-(25184071/40000000/(x-1)^2))))+(-(-(-(((1/10000)*(x^3+(4*x^2)+(4*x)+1))/(x^4+x^3+x^2+x+1)^4))))+(-(-(41/200000/(x+1)^3)))+(-(-(48749/500000/(x-1)^3)))+(-(1/400000/(x+1)^4))+(-(81/500000/(x-1)^5))+(1/500000/(x-1)^6)))))+(1/(x-1)^2)+(1/(x-1)^6))
A257464 = (((-(87500/559))*integrate((A001312+(-((-(((1/20)*(((((116*x^39)+(119*x^38)+(122*x^37)+(125*x^36)+(128*x^35)+(131*x^34)+(134*x^33)+(131*x^32)+(134*x^31)+(131*x^30)+(18*x^29)+(12*x^28)+(6*x^27))-(6*x^25)-(12*x^24)-(18*x^23)-(22*x^22)-(28*x^21)-(32*x^20))+(78*x^19)+(77*x^18)+(76*x^17)+(75*x^16)+(74*x^15)+(73*x^14)+(72*x^13)+(68*x^12)+(67*x^11)+(63*x^10))-(54*x^9)-(61*x^8)-(68*x^7)-(75*x^6)-(82*x^5)-(89*x^4)-(96*x^3)-(99*x^2)-(106*x)-109))/((((x^40-x^30)+x^20)-x^10)+1)))+(-(-(-(-(-(((1/1000)*(((((106*x^19)+(99*x^18)+(22*x^17)+(15*x^16))-(62*x^15))+(37*x^14))-(47*x^13)-(51*x^12)-(135*x^11)-(139*x^10)-(117*x^9)-(128*x^8)-(139*x^7)-(150*x^6)-(161*x^5)-(66*x^4)-(84*x^3)-(82*x^2)-(100*x)-98))/(x^20+x^15+x^10+x^5+1)))))))+(-(-(-(-(-(((1/200)*(((58*x^19)+(97*x^18)+(122*x^17)+(161*x^16)+(186*x^15)+(167*x^14)+(153*x^13)+(123*x^12)+(109*x^11)+(79*x^10)+(123*x^9)+(132*x^8)+(141*x^7)+(150*x^6)+(159*x^5)+(110*x^4)+(80*x^3)+(46*x^2)+(16*x))-18))/((((x^20-x^15)+x^10)-x^5)+1)))))))+(-(-(-(-(((1/400)*(((((7*x^7)+(5*x^6))-(4*x^5)-(5*x^4))+x^3)-(8*x)-5))/((((x^8-x^6)+x^4)-x^2)+1))))))+(-(-(-(-(((1/2500000)*((529543*x^3)+(1001605*x^2)+(584931*x)+584291))/(x^4+x^3+x^2+x+1))))))+(-(-(-(-(((1/100000)*(((8523*x^3)+(165*x^2)+(3103*x))-2463))/((((x^4-x^3)+x^2)-x)+1))))))+(-(-(-(-(((1/800)*x)/(x^2+1))))))+(-(-(-(-(((1/200)*(((2*x^19)+(3*x^18)+(4*x^17)+(5*x^16)+(6*x^15)+(9*x^14)+(11*x^13)+(8*x^12)+(10*x^11)+(7*x^10)+(11*x^9)+(9*x^8)+(7*x^7)+(5*x^6)+(3*x^5)+(3*x^4)+(2*x^3)+x^2)-1))/(x^20+x^15+x^10+x^5+1)^2)))))+(-(-(-(-(((1/40)*(((2*x^19)+(3*x^18)+(4*x^17)+(5*x^16)+(6*x^15)+(5*x^14)+(5*x^13)+(4*x^12)+(4*x^11)+(3*x^10)+(5*x^9)+(5*x^8)+(5*x^7)+(5*x^6)+(5*x^5)+(3*x^4)+(2*x^3)+x^2)-1))/((((x^20-x^15)+x^10)-x^5)+1)^2)))))+(-(-(-(((1/500000)*((28177*x^3)+(28817*x^2)+(3520*x)+2586))/(x^4+x^3+x^2+x+1)^2))))+(-(-(-(((1/20000)*((79*x^3)+(81*x^2)+4))/((((x^4-x^3)+x^2)-x)+1)^2))))+(-(-(-(205757/1600000/(x+1)))))+(-(-(-(221584187/40000000/(x-1)))))+(-(-(-(((1/4000)*x^2)/((((x^4-x^3)+x^2)-x)+1)^3))))+(-(-(-(((1/100000)*((332*x^3)-(129*x^2)-(598*x)-310))/(x^4+x^3+x^2+x+1)^3))))+(-(-(-(11499/1600000/(x+1)^2))))+(-(-(-(25184071/40000000/(x-1)^2))))+(-(-(-(((1/10000)*(x^3+(4*x^2)+(4*x)+1))/(x^4+x^3+x^2+x+1)^4))))+(-(-(41/200000/(x+1)^3)))+(-(-(48749/500000/(x-1)^3)))+(-(1/400000/(x+1)^4))+(-(81/500000/(x-1)^5))+(1/500000/(x-1)^6))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257464 = (((-(12500/559))*differential((A001312+(-((-(((1/20)*(((((116*x^39)+(119*x^38)+(122*x^37)+(125*x^36)+(128*x^35)+(131*x^34)+(134*x^33)+(131*x^32)+(134*x^31)+(131*x^30)+(18*x^29)+(12*x^28)+(6*x^27))-(6*x^25)-(12*x^24)-(18*x^23)-(22*x^22)-(28*x^21)-(32*x^20))+(78*x^19)+(77*x^18)+(76*x^17)+(75*x^16)+(74*x^15)+(73*x^14)+(72*x^13)+(68*x^12)+(67*x^11)+(63*x^10))-(54*x^9)-(61*x^8)-(68*x^7)-(75*x^6)-(82*x^5)-(89*x^4)-(96*x^3)-(99*x^2)-(106*x)-109))/((((x^40-x^30)+x^20)-x^10)+1)))+(-(-(-(-(-(((1/1000)*(((((106*x^19)+(99*x^18)+(22*x^17)+(15*x^16))-(62*x^15))+(37*x^14))-(47*x^13)-(51*x^12)-(135*x^11)-(139*x^10)-(117*x^9)-(128*x^8)-(139*x^7)-(150*x^6)-(161*x^5)-(66*x^4)-(84*x^3)-(82*x^2)-(100*x)-98))/(x^20+x^15+x^10+x^5+1)))))))+(-(-(-(-(-(((1/200)*(((58*x^19)+(97*x^18)+(122*x^17)+(161*x^16)+(186*x^15)+(167*x^14)+(153*x^13)+(123*x^12)+(109*x^11)+(79*x^10)+(123*x^9)+(132*x^8)+(141*x^7)+(150*x^6)+(159*x^5)+(110*x^4)+(80*x^3)+(46*x^2)+(16*x))-18))/((((x^20-x^15)+x^10)-x^5)+1)))))))+(-(-(-(-(((1/400)*(((((7*x^7)+(5*x^6))-(4*x^5)-(5*x^4))+x^3)-(8*x)-5))/((((x^8-x^6)+x^4)-x^2)+1))))))+(-(-(-(-(((1/2500000)*((529543*x^3)+(1001605*x^2)+(584931*x)+584291))/(x^4+x^3+x^2+x+1))))))+(-(-(-(-(((1/100000)*(((8523*x^3)+(165*x^2)+(3103*x))-2463))/((((x^4-x^3)+x^2)-x)+1))))))+(-(-(-(-(((1/800)*x)/(x^2+1))))))+(-(-(-(-(((1/200)*(((2*x^19)+(3*x^18)+(4*x^17)+(5*x^16)+(6*x^15)+(9*x^14)+(11*x^13)+(8*x^12)+(10*x^11)+(7*x^10)+(11*x^9)+(9*x^8)+(7*x^7)+(5*x^6)+(3*x^5)+(3*x^4)+(2*x^3)+x^2)-1))/(x^20+x^15+x^10+x^5+1)^2)))))+(-(-(-(-(((1/40)*(((2*x^19)+(3*x^18)+(4*x^17)+(5*x^16)+(6*x^15)+(5*x^14)+(5*x^13)+(4*x^12)+(4*x^11)+(3*x^10)+(5*x^9)+(5*x^8)+(5*x^7)+(5*x^6)+(5*x^5)+(3*x^4)+(2*x^3)+x^2)-1))/((((x^20-x^15)+x^10)-x^5)+1)^2)))))+(-(-(-(((1/500000)*((28177*x^3)+(28817*x^2)+(3520*x)+2586))/(x^4+x^3+x^2+x+1)^2))))+(-(-(-(((1/20000)*((79*x^3)+(81*x^2)+4))/((((x^4-x^3)+x^2)-x)+1)^2))))+(-(-(-(205757/1600000/(x+1)))))+(-(-(-(221584187/40000000/(x-1)))))+(-(-(-(((1/4000)*x^2)/((((x^4-x^3)+x^2)-x)+1)^3))))+(-(-(-(((1/100000)*((332*x^3)-(129*x^2)-(598*x)-310))/(x^4+x^3+x^2+x+1)^3))))+(-(-(-(11499/1600000/(x+1)^2))))+(-(-(-(25184071/40000000/(x-1)^2))))+(-(-(-(((1/10000)*(x^3+(4*x^2)+(4*x)+1))/(x^4+x^3+x^2+x+1)^4))))+(-(-(41/200000/(x+1)^3)))+(-(-(48749/500000/(x-1)^3)))+(-(1/400000/(x+1)^4))+(-(81/500000/(x-1)^5))+(1/500000/(x-1)^6))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(7/24/(x-1)^3))+(-(1/2/(x-1)^4)))
A257464 = (((250000/81)*(A001312+(-((-(((1/20)*(((((116*x^39)+(119*x^38)+(122*x^37)+(125*x^36)+(128*x^35)+(131*x^34)+(134*x^33)+(131*x^32)+(134*x^31)+(131*x^30)+(18*x^29)+(12*x^28)+(6*x^27))-(6*x^25)-(12*x^24)-(18*x^23)-(22*x^22)-(28*x^21)-(32*x^20))+(78*x^19)+(77*x^18)+(76*x^17)+(75*x^16)+(74*x^15)+(73*x^14)+(72*x^13)+(68*x^12)+(67*x^11)+(63*x^10))-(54*x^9)-(61*x^8)-(68*x^7)-(75*x^6)-(82*x^5)-(89*x^4)-(96*x^3)-(99*x^2)-(106*x)-109))/((((x^40-x^30)+x^20)-x^10)+1)))+(-(-(-(-(-(((1/1000)*(((((106*x^19)+(99*x^18)+(22*x^17)+(15*x^16))-(62*x^15))+(37*x^14))-(47*x^13)-(51*x^12)-(135*x^11)-(139*x^10)-(117*x^9)-(128*x^8)-(139*x^7)-(150*x^6)-(161*x^5)-(66*x^4)-(84*x^3)-(82*x^2)-(100*x)-98))/(x^20+x^15+x^10+x^5+1)))))))+(-(-(-(-(-(((1/200)*(((58*x^19)+(97*x^18)+(122*x^17)+(161*x^16)+(186*x^15)+(167*x^14)+(153*x^13)+(123*x^12)+(109*x^11)+(79*x^10)+(123*x^9)+(132*x^8)+(141*x^7)+(150*x^6)+(159*x^5)+(110*x^4)+(80*x^3)+(46*x^2)+(16*x))-18))/((((x^20-x^15)+x^10)-x^5)+1)))))))+(-(-(-(-(((1/400)*(((((7*x^7)+(5*x^6))-(4*x^5)-(5*x^4))+x^3)-(8*x)-5))/((((x^8-x^6)+x^4)-x^2)+1))))))+(-(-(-(-(((1/2500000)*((529543*x^3)+(1001605*x^2)+(584931*x)+584291))/(x^4+x^3+x^2+x+1))))))+(-(-(-(-(((1/100000)*(((8523*x^3)+(165*x^2)+(3103*x))-2463))/((((x^4-x^3)+x^2)-x)+1))))))+(-(-(-(-(((1/800)*x)/(x^2+1))))))+(-(-(-(-(((1/200)*(((2*x^19)+(3*x^18)+(4*x^17)+(5*x^16)+(6*x^15)+(9*x^14)+(11*x^13)+(8*x^12)+(10*x^11)+(7*x^10)+(11*x^9)+(9*x^8)+(7*x^7)+(5*x^6)+(3*x^5)+(3*x^4)+(2*x^3)+x^2)-1))/(x^20+x^15+x^10+x^5+1)^2)))))+(-(-(-(-(((1/40)*(((2*x^19)+(3*x^18)+(4*x^17)+(5*x^16)+(6*x^15)+(5*x^14)+(5*x^13)+(4*x^12)+(4*x^11)+(3*x^10)+(5*x^9)+(5*x^8)+(5*x^7)+(5*x^6)+(5*x^5)+(3*x^4)+(2*x^3)+x^2)-1))/((((x^20-x^15)+x^10)-x^5)+1)^2)))))+(-(-(-(((1/500000)*((28177*x^3)+(28817*x^2)+(3520*x)+2586))/(x^4+x^3+x^2+x+1)^2))))+(-(-(-(((1/20000)*((79*x^3)+(81*x^2)+4))/((((x^4-x^3)+x^2)-x)+1)^2))))+(-(-(-(205757/1600000/(x+1)))))+(-(-(-(221584187/40000000/(x-1)))))+(-(-(-(((1/4000)*x^2)/((((x^4-x^3)+x^2)-x)+1)^3))))+(-(-(-(((1/100000)*((332*x^3)-(129*x^2)-(598*x)-310))/(x^4+x^3+x^2+x+1)^3))))+(-(-(-(11499/1600000/(x+1)^2))))+(-(-(-(25184071/40000000/(x-1)^2))))+(-(-(-(((1/10000)*(x^3+(4*x^2)+(4*x)+1))/(x^4+x^3+x^2+x+1)^4))))+(-(-(41/200000/(x+1)^3)))+(-(-(48749/500000/(x-1)^3)))+(-(1/400000/(x+1)^4))+(-(559/100000/(x-1)^4))+(1/500000/(x-1)^6)))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(7/24/(x-1)^3))+(-(1/2/(x-1)^4)))
A257890 = (((2000000/81)*integrate((A001312+(-((-(((1/20)*(((((116*x^39)+(119*x^38)+(122*x^37)+(125*x^36)+(128*x^35)+(131*x^34)+(134*x^33)+(131*x^32)+(134*x^31)+(131*x^30)+(18*x^29)+(12*x^28)+(6*x^27))-(6*x^25)-(12*x^24)-(18*x^23)-(22*x^22)-(28*x^21)-(32*x^20))+(78*x^19)+(77*x^18)+(76*x^17)+(75*x^16)+(74*x^15)+(73*x^14)+(72*x^13)+(68*x^12)+(67*x^11)+(63*x^10))-(54*x^9)-(61*x^8)-(68*x^7)-(75*x^6)-(82*x^5)-(89*x^4)-(96*x^3)-(99*x^2)-(106*x)-109))/((((x^40-x^30)+x^20)-x^10)+1)))+(-(-(-(-(-(((1/1000)*(((((106*x^19)+(99*x^18)+(22*x^17)+(15*x^16))-(62*x^15))+(37*x^14))-(47*x^13)-(51*x^12)-(135*x^11)-(139*x^10)-(117*x^9)-(128*x^8)-(139*x^7)-(150*x^6)-(161*x^5)-(66*x^4)-(84*x^3)-(82*x^2)-(100*x)-98))/(x^20+x^15+x^10+x^5+1)))))))+(-(-(-(-(-(((1/200)*(((58*x^19)+(97*x^18)+(122*x^17)+(161*x^16)+(186*x^15)+(167*x^14)+(153*x^13)+(123*x^12)+(109*x^11)+(79*x^10)+(123*x^9)+(132*x^8)+(141*x^7)+(150*x^6)+(159*x^5)+(110*x^4)+(80*x^3)+(46*x^2)+(16*x))-18))/((((x^20-x^15)+x^10)-x^5)+1)))))))+(-(-(-(-(((1/400)*(((((7*x^7)+(5*x^6))-(4*x^5)-(5*x^4))+x^3)-(8*x)-5))/((((x^8-x^6)+x^4)-x^2)+1))))))+(-(-(-(-(((1/2500000)*((529543*x^3)+(1001605*x^2)+(584931*x)+584291))/(x^4+x^3+x^2+x+1))))))+(-(-(-(-(((1/100000)*(((8523*x^3)+(165*x^2)+(3103*x))-2463))/((((x^4-x^3)+x^2)-x)+1))))))+(-(-(-(-(((1/800)*x)/(x^2+1))))))+(-(-(-(-(((1/200)*(((2*x^19)+(3*x^18)+(4*x^17)+(5*x^16)+(6*x^15)+(9*x^14)+(11*x^13)+(8*x^12)+(10*x^11)+(7*x^10)+(11*x^9)+(9*x^8)+(7*x^7)+(5*x^6)+(3*x^5)+(3*x^4)+(2*x^3)+x^2)-1))/(x^20+x^15+x^10+x^5+1)^2)))))+(-(-(-(-(((1/40)*(((2*x^19)+(3*x^18)+(4*x^17)+(5*x^16)+(6*x^15)+(5*x^14)+(5*x^13)+(4*x^12)+(4*x^11)+(3*x^10)+(5*x^9)+(5*x^8)+(5*x^7)+(5*x^6)+(5*x^5)+(3*x^4)+(2*x^3)+x^2)-1))/((((x^20-x^15)+x^10)-x^5)+1)^2)))))+(-(-(-(((1/500000)*((28177*x^3)+(28817*x^2)+(3520*x)+2586))/(x^4+x^3+x^2+x+1)^2))))+(-(-(-(((1/20000)*((79*x^3)+(81*x^2)+4))/((((x^4-x^3)+x^2)-x)+1)^2))))+(-(-(-(205757/1600000/(x+1)))))+(-(-(-(221584187/40000000/(x-1)))))+(-(-(-(((1/4000)*x^2)/((((x^4-x^3)+x^2)-x)+1)^3))))+(-(-(-(((1/100000)*((332*x^3)-(129*x^2)-(598*x)-310))/(x^4+x^3+x^2+x+1)^3))))+(-(-(-(11499/1600000/(x+1)^2))))+(-(-(-(25184071/40000000/(x-1)^2))))+(-(-(-(((1/10000)*(x^3+(4*x^2)+(4*x)+1))/(x^4+x^3+x^2+x+1)^4))))+(-(-(41/200000/(x+1)^3)))+(-(-(48749/500000/(x-1)^3)))+(-(1/400000/(x+1)^4))+(-(559/100000/(x-1)^4))+(1/500000/(x-1)^6))))))+(1/(x-1)^2)+(1/(x-1)^6))
A257890 = (((100000/81)*differential((A001312+(-((-(((1/20)*(((((116*x^39)+(119*x^38)+(122*x^37)+(125*x^36)+(128*x^35)+(131*x^34)+(134*x^33)+(131*x^32)+(134*x^31)+(131*x^30)+(18*x^29)+(12*x^28)+(6*x^27))-(6*x^25)-(12*x^24)-(18*x^23)-(22*x^22)-(28*x^21)-(32*x^20))+(78*x^19)+(77*x^18)+(76*x^17)+(75*x^16)+(74*x^15)+(73*x^14)+(72*x^13)+(68*x^12)+(67*x^11)+(63*x^10))-(54*x^9)-(61*x^8)-(68*x^7)-(75*x^6)-(82*x^5)-(89*x^4)-(96*x^3)-(99*x^2)-(106*x)-109))/((((x^40-x^30)+x^20)-x^10)+1)))+(-(-(-(-(-(((1/1000)*(((((106*x^19)+(99*x^18)+(22*x^17)+(15*x^16))-(62*x^15))+(37*x^14))-(47*x^13)-(51*x^12)-(135*x^11)-(139*x^10)-(117*x^9)-(128*x^8)-(139*x^7)-(150*x^6)-(161*x^5)-(66*x^4)-(84*x^3)-(82*x^2)-(100*x)-98))/(x^20+x^15+x^10+x^5+1)))))))+(-(-(-(-(-(((1/200)*(((58*x^19)+(97*x^18)+(122*x^17)+(161*x^16)+(186*x^15)+(167*x^14)+(153*x^13)+(123*x^12)+(109*x^11)+(79*x^10)+(123*x^9)+(132*x^8)+(141*x^7)+(150*x^6)+(159*x^5)+(110*x^4)+(80*x^3)+(46*x^2)+(16*x))-18))/((((x^20-x^15)+x^10)-x^5)+1)))))))+(-(-(-(-(((1/400)*(((((7*x^7)+(5*x^6))-(4*x^5)-(5*x^4))+x^3)-(8*x)-5))/((((x^8-x^6)+x^4)-x^2)+1))))))+(-(-(-(-(((1/2500000)*((529543*x^3)+(1001605*x^2)+(584931*x)+584291))/(x^4+x^3+x^2+x+1))))))+(-(-(-(-(((1/100000)*(((8523*x^3)+(165*x^2)+(3103*x))-2463))/((((x^4-x^3)+x^2)-x)+1))))))+(-(-(-(-(((1/800)*x)/(x^2+1))))))+(-(-(-(-(((1/200)*(((2*x^19)+(3*x^18)+(4*x^17)+(5*x^16)+(6*x^15)+(9*x^14)+(11*x^13)+(8*x^12)+(10*x^11)+(7*x^10)+(11*x^9)+(9*x^8)+(7*x^7)+(5*x^6)+(3*x^5)+(3*x^4)+(2*x^3)+x^2)-1))/(x^20+x^15+x^10+x^5+1)^2)))))+(-(-(-(-(((1/40)*(((2*x^19)+(3*x^18)+(4*x^17)+(5*x^16)+(6*x^15)+(5*x^14)+(5*x^13)+(4*x^12)+(4*x^11)+(3*x^10)+(5*x^9)+(5*x^8)+(5*x^7)+(5*x^6)+(5*x^5)+(3*x^4)+(2*x^3)+x^2)-1))/((((x^20-x^15)+x^10)-x^5)+1)^2)))))+(-(-(-(((1/500000)*((28177*x^3)+(28817*x^2)+(3520*x)+2586))/(x^4+x^3+x^2+x+1)^2))))+(-(-(-(((1/20000)*((79*x^3)+(81*x^2)+4))/((((x^4-x^3)+x^2)-x)+1)^2))))+(-(-(-(205757/1600000/(x+1)))))+(-(-(-(221584187/40000000/(x-1)))))+(-(-(-(((1/4000)*x^2)/((((x^4-x^3)+x^2)-x)+1)^3))))+(-(-(-(((1/100000)*((332*x^3)-(129*x^2)-(598*x)-310))/(x^4+x^3+x^2+x+1)^3))))+(-(-(-(11499/1600000/(x+1)^2))))+(-(-(-(25184071/40000000/(x-1)^2))))+(-(-(-(((1/10000)*(x^3+(4*x^2)+(4*x)+1))/(x^4+x^3+x^2+x+1)^4))))+(-(-(41/200000/(x+1)^3)))+(-(-(48749/500000/(x-1)^3)))+(-(1/400000/(x+1)^4))+(-(559/100000/(x-1)^4))+(1/500000/(x-1)^6))))))+(1/(x-1)^2)+(1/(x-1)^4))
A257890 = ((500000*(A001312+(-((-(((1/20)*(((((116*x^39)+(119*x^38)+(122*x^37)+(125*x^36)+(128*x^35)+(131*x^34)+(134*x^33)+(131*x^32)+(134*x^31)+(131*x^30)+(18*x^29)+(12*x^28)+(6*x^27))-(6*x^25)-(12*x^24)-(18*x^23)-(22*x^22)-(28*x^21)-(32*x^20))+(78*x^19)+(77*x^18)+(76*x^17)+(75*x^16)+(74*x^15)+(73*x^14)+(72*x^13)+(68*x^12)+(67*x^11)+(63*x^10))-(54*x^9)-(61*x^8)-(68*x^7)-(75*x^6)-(82*x^5)-(89*x^4)-(96*x^3)-(99*x^2)-(106*x)-109))/((((x^40-x^30)+x^20)-x^10)+1)))+(-(-(-(-(-(((1/1000)*(((((106*x^19)+(99*x^18)+(22*x^17)+(15*x^16))-(62*x^15))+(37*x^14))-(47*x^13)-(51*x^12)-(135*x^11)-(139*x^10)-(117*x^9)-(128*x^8)-(139*x^7)-(150*x^6)-(161*x^5)-(66*x^4)-(84*x^3)-(82*x^2)-(100*x)-98))/(x^20+x^15+x^10+x^5+1)))))))+(-(-(-(-(-(((1/200)*(((58*x^19)+(97*x^18)+(122*x^17)+(161*x^16)+(186*x^15)+(167*x^14)+(153*x^13)+(123*x^12)+(109*x^11)+(79*x^10)+(123*x^9)+(132*x^8)+(141*x^7)+(150*x^6)+(159*x^5)+(110*x^4)+(80*x^3)+(46*x^2)+(16*x))-18))/((((x^20-x^15)+x^10)-x^5)+1)))))))+(-(-(-(-(((1/400)*(((((7*x^7)+(5*x^6))-(4*x^5)-(5*x^4))+x^3)-(8*x)-5))/((((x^8-x^6)+x^4)-x^2)+1))))))+(-(-(-(-(((1/2500000)*((529543*x^3)+(1001605*x^2)+(584931*x)+584291))/(x^4+x^3+x^2+x+1))))))+(-(-(-(-(((1/100000)*(((8523*x^3)+(165*x^2)+(3103*x))-2463))/((((x^4-x^3)+x^2)-x)+1))))))+(-(-(-(-(((1/800)*x)/(x^2+1))))))+(-(-(-(-(((1/200)*(((2*x^19)+(3*x^18)+(4*x^17)+(5*x^16)+(6*x^15)+(9*x^14)+(11*x^13)+(8*x^12)+(10*x^11)+(7*x^10)+(11*x^9)+(9*x^8)+(7*x^7)+(5*x^6)+(3*x^5)+(3*x^4)+(2*x^3)+x^2)-1))/(x^20+x^15+x^10+x^5+1)^2)))))+(-(-(-(-(((1/40)*(((2*x^19)+(3*x^18)+(4*x^17)+(5*x^16)+(6*x^15)+(5*x^14)+(5*x^13)+(4*x^12)+(4*x^11)+(3*x^10)+(5*x^9)+(5*x^8)+(5*x^7)+(5*x^6)+(5*x^5)+(3*x^4)+(2*x^3)+x^2)-1))/((((x^20-x^15)+x^10)-x^5)+1)^2)))))+(-(-(-(((1/500000)*((28177*x^3)+(28817*x^2)+(3520*x)+2586))/(x^4+x^3+x^2+x+1)^2))))+(-(-(-(((1/20000)*((79*x^3)+(81*x^2)+4))/((((x^4-x^3)+x^2)-x)+1)^2))))+(-(-(-(205757/1600000/(x+1)))))+(-(-(-(221584187/40000000/(x-1)))))+(-(-(-(((1/4000)*x^2)/((((x^4-x^3)+x^2)-x)+1)^3))))+(-(-(-(((1/100000)*((332*x^3)-(129*x^2)-(598*x)-310))/(x^4+x^3+x^2+x+1)^3))))+(-(-(-(11499/1600000/(x+1)^2))))+(-(-(-(25184071/40000000/(x-1)^2))))+(-(-(-(((1/10000)*(x^3+(4*x^2)+(4*x)+1))/(x^4+x^3+x^2+x+1)^4))))+(-(-(41/200000/(x+1)^3)))+(-(-(48749/500000/(x-1)^3)))+(-(1/400000/(x+1)^4))+(-(559/100000/(x-1)^4))+(-(81/500000/(x-1)^5))))))+(1/(x-1)^2)+(1/(x-1)^4))
A257464 = ((1250000*integrate((A001312+(-((-(((1/20)*(((((116*x^39)+(119*x^38)+(122*x^37)+(125*x^36)+(128*x^35)+(131*x^34)+(134*x^33)+(131*x^32)+(134*x^31)+(131*x^30)+(18*x^29)+(12*x^28)+(6*x^27))-(6*x^25)-(12*x^24)-(18*x^23)-(22*x^22)-(28*x^21)-(32*x^20))+(78*x^19)+(77*x^18)+(76*x^17)+(75*x^16)+(74*x^15)+(73*x^14)+(72*x^13)+(68*x^12)+(67*x^11)+(63*x^10))-(54*x^9)-(61*x^8)-(68*x^7)-(75*x^6)-(82*x^5)-(89*x^4)-(96*x^3)-(99*x^2)-(106*x)-109))/((((x^40-x^30)+x^20)-x^10)+1)))+(-(-(-(-(-(((1/1000)*(((((106*x^19)+(99*x^18)+(22*x^17)+(15*x^16))-(62*x^15))+(37*x^14))-(47*x^13)-(51*x^12)-(135*x^11)-(139*x^10)-(117*x^9)-(128*x^8)-(139*x^7)-(150*x^6)-(161*x^5)-(66*x^4)-(84*x^3)-(82*x^2)-(100*x)-98))/(x^20+x^15+x^10+x^5+1)))))))+(-(-(-(-(-(((1/200)*(((58*x^19)+(97*x^18)+(122*x^17)+(161*x^16)+(186*x^15)+(167*x^14)+(153*x^13)+(123*x^12)+(109*x^11)+(79*x^10)+(123*x^9)+(132*x^8)+(141*x^7)+(150*x^6)+(159*x^5)+(110*x^4)+(80*x^3)+(46*x^2)+(16*x))-18))/((((x^20-x^15)+x^10)-x^5)+1)))))))+(-(-(-(-(((1/400)*(((((7*x^7)+(5*x^6))-(4*x^5)-(5*x^4))+x^3)-(8*x)-5))/((((x^8-x^6)+x^4)-x^2)+1))))))+(-(-(-(-(((1/2500000)*((529543*x^3)+(1001605*x^2)+(584931*x)+584291))/(x^4+x^3+x^2+x+1))))))+(-(-(-(-(((1/100000)*(((8523*x^3)+(165*x^2)+(3103*x))-2463))/((((x^4-x^3)+x^2)-x)+1))))))+(-(-(-(-(((1/800)*x)/(x^2+1))))))+(-(-(-(-(((1/200)*(((2*x^19)+(3*x^18)+(4*x^17)+(5*x^16)+(6*x^15)+(9*x^14)+(11*x^13)+(8*x^12)+(10*x^11)+(7*x^10)+(11*x^9)+(9*x^8)+(7*x^7)+(5*x^6)+(3*x^5)+(3*x^4)+(2*x^3)+x^2)-1))/(x^20+x^15+x^10+x^5+1)^2)))))+(-(-(-(-(((1/40)*(((2*x^19)+(3*x^18)+(4*x^17)+(5*x^16)+(6*x^15)+(5*x^14)+(5*x^13)+(4*x^12)+(4*x^11)+(3*x^10)+(5*x^9)+(5*x^8)+(5*x^7)+(5*x^6)+(5*x^5)+(3*x^4)+(2*x^3)+x^2)-1))/((((x^20-x^15)+x^10)-x^5)+1)^2)))))+(-(-(-(((1/500000)*((28177*x^3)+(28817*x^2)+(3520*x)+2586))/(x^4+x^3+x^2+x+1)^2))))+(-(-(-(((1/20000)*((79*x^3)+(81*x^2)+4))/((((x^4-x^3)+x^2)-x)+1)^2))))+(-(-(-(205757/1600000/(x+1)))))+(-(-(-(221584187/40000000/(x-1)))))+(-(-(-(((1/4000)*x^2)/((((x^4-x^3)+x^2)-x)+1)^3))))+(-(-(-(((1/100000)*((332*x^3)-(129*x^2)-(598*x)-310))/(x^4+x^3+x^2+x+1)^3))))+(-(-(-(11499/1600000/(x+1)^2))))+(-(-(-(25184071/40000000/(x-1)^2))))+(-(-(-(((1/10000)*(x^3+(4*x^2)+(4*x)+1))/(x^4+x^3+x^2+x+1)^4))))+(-(-(41/200000/(x+1)^3)))+(-(-(48749/500000/(x-1)^3)))+(-(1/400000/(x+1)^4))+(-(559/100000/(x-1)^4))+(-(81/500000/(x-1)^5)))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(7/24/(x-1)^3))+(-(1/2/(x-1)^4)))
A257201 = (((-(500000/3))*differential((A001312+(-((-(((1/20)*(((((116*x^39)+(119*x^38)+(122*x^37)+(125*x^36)+(128*x^35)+(131*x^34)+(134*x^33)+(131*x^32)+(134*x^31)+(131*x^30)+(18*x^29)+(12*x^28)+(6*x^27))-(6*x^25)-(12*x^24)-(18*x^23)-(22*x^22)-(28*x^21)-(32*x^20))+(78*x^19)+(77*x^18)+(76*x^17)+(75*x^16)+(74*x^15)+(73*x^14)+(72*x^13)+(68*x^12)+(67*x^11)+(63*x^10))-(54*x^9)-(61*x^8)-(68*x^7)-(75*x^6)-(82*x^5)-(89*x^4)-(96*x^3)-(99*x^2)-(106*x)-109))/((((x^40-x^30)+x^20)-x^10)+1)))+(-(-(-(-(-(((1/1000)*(((((106*x^19)+(99*x^18)+(22*x^17)+(15*x^16))-(62*x^15))+(37*x^14))-(47*x^13)-(51*x^12)-(135*x^11)-(139*x^10)-(117*x^9)-(128*x^8)-(139*x^7)-(150*x^6)-(161*x^5)-(66*x^4)-(84*x^3)-(82*x^2)-(100*x)-98))/(x^20+x^15+x^10+x^5+1)))))))+(-(-(-(-(-(((1/200)*(((58*x^19)+(97*x^18)+(122*x^17)+(161*x^16)+(186*x^15)+(167*x^14)+(153*x^13)+(123*x^12)+(109*x^11)+(79*x^10)+(123*x^9)+(132*x^8)+(141*x^7)+(150*x^6)+(159*x^5)+(110*x^4)+(80*x^3)+(46*x^2)+(16*x))-18))/((((x^20-x^15)+x^10)-x^5)+1)))))))+(-(-(-(-(((1/400)*(((((7*x^7)+(5*x^6))-(4*x^5)-(5*x^4))+x^3)-(8*x)-5))/((((x^8-x^6)+x^4)-x^2)+1))))))+(-(-(-(-(((1/2500000)*((529543*x^3)+(1001605*x^2)+(584931*x)+584291))/(x^4+x^3+x^2+x+1))))))+(-(-(-(-(((1/100000)*(((8523*x^3)+(165*x^2)+(3103*x))-2463))/((((x^4-x^3)+x^2)-x)+1))))))+(-(-(-(-(((1/800)*x)/(x^2+1))))))+(-(-(-(-(((1/200)*(((2*x^19)+(3*x^18)+(4*x^17)+(5*x^16)+(6*x^15)+(9*x^14)+(11*x^13)+(8*x^12)+(10*x^11)+(7*x^10)+(11*x^9)+(9*x^8)+(7*x^7)+(5*x^6)+(3*x^5)+(3*x^4)+(2*x^3)+x^2)-1))/(x^20+x^15+x^10+x^5+1)^2)))))+(-(-(-(-(((1/40)*(((2*x^19)+(3*x^18)+(4*x^17)+(5*x^16)+(6*x^15)+(5*x^14)+(5*x^13)+(4*x^12)+(4*x^11)+(3*x^10)+(5*x^9)+(5*x^8)+(5*x^7)+(5*x^6)+(5*x^5)+(3*x^4)+(2*x^3)+x^2)-1))/((((x^20-x^15)+x^10)-x^5)+1)^2)))))+(-(-(-(((1/500000)*((28177*x^3)+(28817*x^2)+(3520*x)+2586))/(x^4+x^3+x^2+x+1)^2))))+(-(-(-(((1/20000)*((79*x^3)+(81*x^2)+4))/((((x^4-x^3)+x^2)-x)+1)^2))))+(-(-(-(205757/1600000/(x+1)))))+(-(-(-(221584187/40000000/(x-1)))))+(-(-(-(((1/4000)*x^2)/((((x^4-x^3)+x^2)-x)+1)^3))))+(-(-(-(((1/100000)*((332*x^3)-(129*x^2)-(598*x)-310))/(x^4+x^3+x^2+x+1)^3))))+(-(-(-(11499/1600000/(x+1)^2))))+(-(-(-(25184071/40000000/(x-1)^2))))+(-(-(-(((1/10000)*(x^3+(4*x^2)+(4*x)+1))/(x^4+x^3+x^2+x+1)^4))))+(-(-(41/200000/(x+1)^3)))+(-(-(48749/500000/(x-1)^3)))+(-(1/400000/(x+1)^4))+(-(559/100000/(x-1)^4))+(-(81/500000/(x-1)^5)))))))+(1/(x-1)^5)+(2/(x-1)^6)+(1/(x-1)^8))
A257850 = (((-(16000/30917))*differential((A001313+(-((-(((1/10)*(((((7*x^19)+(8*x^18)+(8*x^17)+(9*x^16)+(9*x^15)+(3*x^14)+(2*x^13)+x^12)-x^10)+(5*x^9)+(5*x^8)+(5*x^7)+(5*x^6)+(5*x^5))-(2*x^4)-(3*x^3)-(4*x^2)-(5*x)-6))/((((x^20-x^15)+x^10)-x^5)+1)))+(-(-(-(((1/50)*(((((7*x^19)+(8*x^18)+(4*x^17)+(5*x^16)+x^15+(9*x^14)+(6*x^13)+(3*x^12))-(3*x^10))+x^9)-x^8-(3*x^7)-(5*x^6)-(7*x^5)-(2*x^4)-(3*x^3)-(4*x^2)-(5*x)-6))/(x^20+x^15+x^10+x^5+1)))))+(-(-(-(((1/80)*(((((7*x^7)+(5*x^6))-(4*x^5)-(5*x^4))+x^3)-(8*x)-5))/((((x^8-x^6)+x^4)-x^2)+1)))))+(-(-(-(((1/500000)*((81563*x^3)+(147645*x^2)+(95991*x)+95671))/(x^4+x^3+x^2+x+1)))))+(-(-(-(((1/20000)*(((2263*x^3)+(85*x^2)+(883*x))-563))/((((x^4-x^3)+x^2)-x)+1)))))+(-(-(-(((1/160)*x)/(x^2+1)))))+(-(-(-(((1/100000)*((7457*x^3)+(7777*x^2)+(1760*x)+1306))/(x^4+x^3+x^2+x+1)^2))))+(-(-(-(((1/4000)*((39*x^3)+(41*x^2)+4))/((((x^4-x^3)+x^2)-x)+1)^2))))+(-(-(-(746867/8000000/(x-1)))))+(-(-(-(((1/800)*x^2)/((((x^4-x^3)+x^2)-x)+1)^3))))+(-(-(-(((1/20000)*((172*x^3)-(49*x^2)-(278*x)-150))/(x^4+x^3+x^2+x+1)^3))))+(-(-(-(3099/320000/(x+1)^2))))+(-(-(-(2572071/8000000/(x-1)^2))))+(-(-(-(((1/2000)*(x^3+(4*x^2)+(4*x)+1))/(x^4+x^3+x^2+x+1)^4))))+(-(-(21/40000/(x+1)^3)))+(-(-(7049/100000/(x-1)^3)))+(-(1/80000/(x+1)^4))+(-(147/20000/(x-1)^4))+(-(41/100000/(x-1)^5))+(1/100000/(x-1)^6))))))+(((1/5)*((15*x^3)+(4*x^2)+(8*x)+9))/((((x^4-x^3)+x^2)-x)+1))+(-(-(((1/5)*((11*x^3)+(16*x^2)+(15*x)+8))/(x^4+x^3+x^2+x+1))))+(-(-(((1/2)*((2*x^3)+(2*x^2)+x))/(x^4+x^3+x^2+x+1)^2)))+(-(-(((1/2)*(((2*x^2)-x)+2))/((((x^4-x^3)+x^2)-x)+1)^2)))+(-(1/2/(x+1)))+(-(33/10/(x-1)))+(9/20/(x-1)^2))
A257890 = (((8000000/746867)*differential((A001313+(-((-(((1/10)*(((((7*x^19)+(8*x^18)+(8*x^17)+(9*x^16)+(9*x^15)+(3*x^14)+(2*x^13)+x^12)-x^10)+(5*x^9)+(5*x^8)+(5*x^7)+(5*x^6)+(5*x^5))-(2*x^4)-(3*x^3)-(4*x^2)-(5*x)-6))/((((x^20-x^15)+x^10)-x^5)+1)))+(-(-(-(((1/50)*(((((7*x^19)+(8*x^18)+(4*x^17)+(5*x^16)+x^15+(9*x^14)+(6*x^13)+(3*x^12))-(3*x^10))+x^9)-x^8-(3*x^7)-(5*x^6)-(7*x^5)-(2*x^4)-(3*x^3)-(4*x^2)-(5*x)-6))/(x^20+x^15+x^10+x^5+1)))))+(-(-(-(((1/80)*(((((7*x^7)+(5*x^6))-(4*x^5)-(5*x^4))+x^3)-(8*x)-5))/((((x^8-x^6)+x^4)-x^2)+1)))))+(-(-(-(((1/500000)*((81563*x^3)+(147645*x^2)+(95991*x)+95671))/(x^4+x^3+x^2+x+1)))))+(-(-(-(((1/20000)*(((2263*x^3)+(85*x^2)+(883*x))-563))/((((x^4-x^3)+x^2)-x)+1)))))+(-(-(-(((1/160)*x)/(x^2+1)))))+(-(-(-(((1/100000)*((7457*x^3)+(7777*x^2)+(1760*x)+1306))/(x^4+x^3+x^2+x+1)^2))))+(-(-(-(((1/4000)*((39*x^3)+(41*x^2)+4))/((((x^4-x^3)+x^2)-x)+1)^2))))+(-(-(-(30917/320000/(x+1)))))+(-(-(-(((1/800)*x^2)/((((x^4-x^3)+x^2)-x)+1)^3))))+(-(-(-(((1/20000)*((172*x^3)-(49*x^2)-(278*x)-150))/(x^4+x^3+x^2+x+1)^3))))+(-(-(-(3099/320000/(x+1)^2))))+(-(-(-(2572071/8000000/(x-1)^2))))+(-(-(-(((1/2000)*(x^3+(4*x^2)+(4*x)+1))/(x^4+x^3+x^2+x+1)^4))))+(-(-(21/40000/(x+1)^3)))+(-(-(7049/100000/(x-1)^3)))+(-(1/80000/(x+1)^4))+(-(147/20000/(x-1)^4))+(-(41/100000/(x-1)^5))+(1/100000/(x-1)^6))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257850 = (((16000/3099)*(A001313+(-((-(((1/10)*(((((7*x^19)+(8*x^18)+(8*x^17)+(9*x^16)+(9*x^15)+(3*x^14)+(2*x^13)+x^12)-x^10)+(5*x^9)+(5*x^8)+(5*x^7)+(5*x^6)+(5*x^5))-(2*x^4)-(3*x^3)-(4*x^2)-(5*x)-6))/((((x^20-x^15)+x^10)-x^5)+1)))+(-(-(-(((1/50)*(((((7*x^19)+(8*x^18)+(4*x^17)+(5*x^16)+x^15+(9*x^14)+(6*x^13)+(3*x^12))-(3*x^10))+x^9)-x^8-(3*x^7)-(5*x^6)-(7*x^5)-(2*x^4)-(3*x^3)-(4*x^2)-(5*x)-6))/(x^20+x^15+x^10+x^5+1)))))+(-(-(-(((1/80)*(((((7*x^7)+(5*x^6))-(4*x^5)-(5*x^4))+x^3)-(8*x)-5))/((((x^8-x^6)+x^4)-x^2)+1)))))+(-(-(-(((1/500000)*((81563*x^3)+(147645*x^2)+(95991*x)+95671))/(x^4+x^3+x^2+x+1)))))+(-(-(-(((1/20000)*(((2263*x^3)+(85*x^2)+(883*x))-563))/((((x^4-x^3)+x^2)-x)+1)))))+(-(-(-(((1/160)*x)/(x^2+1)))))+(-(-(-(((1/100000)*((7457*x^3)+(7777*x^2)+(1760*x)+1306))/(x^4+x^3+x^2+x+1)^2))))+(-(-(-(((1/4000)*((39*x^3)+(41*x^2)+4))/((((x^4-x^3)+x^2)-x)+1)^2))))+(-(-(-(30917/320000/(x+1)))))+(-(-(-(746867/8000000/(x-1)))))+(-(-(-(((1/800)*x^2)/((((x^4-x^3)+x^2)-x)+1)^3))))+(-(-(-(((1/20000)*((172*x^3)-(49*x^2)-(278*x)-150))/(x^4+x^3+x^2+x+1)^3))))+(-(-(-(2572071/8000000/(x-1)^2))))+(-(-(-(((1/2000)*(x^3+(4*x^2)+(4*x)+1))/(x^4+x^3+x^2+x+1)^4))))+(-(-(21/40000/(x+1)^3)))+(-(-(7049/100000/(x-1)^3)))+(-(1/80000/(x+1)^4))+(-(147/20000/(x-1)^4))+(-(41/100000/(x-1)^5))+(1/100000/(x-1)^6)))))+(((1/5)*((15*x^3)+(4*x^2)+(8*x)+9))/((((x^4-x^3)+x^2)-x)+1))+(-(-(((1/5)*((11*x^3)+(16*x^2)+(15*x)+8))/(x^4+x^3+x^2+x+1))))+(-(-(((1/2)*((2*x^3)+(2*x^2)+x))/(x^4+x^3+x^2+x+1)^2)))+(-(-(((1/2)*(((2*x^2)-x)+2))/((((x^4-x^3)+x^2)-x)+1)^2)))+(-(1/2/(x+1)))+(-(33/10/(x-1)))+(9/20/(x-1)^2))
A257171 = (((-(20000/3099))*differential((A001313+(-((-(((1/10)*(((((7*x^19)+(8*x^18)+(8*x^17)+(9*x^16)+(9*x^15)+(3*x^14)+(2*x^13)+x^12)-x^10)+(5*x^9)+(5*x^8)+(5*x^7)+(5*x^6)+(5*x^5))-(2*x^4)-(3*x^3)-(4*x^2)-(5*x)-6))/((((x^20-x^15)+x^10)-x^5)+1)))+(-(-(-(((1/50)*(((((7*x^19)+(8*x^18)+(4*x^17)+(5*x^16)+x^15+(9*x^14)+(6*x^13)+(3*x^12))-(3*x^10))+x^9)-x^8-(3*x^7)-(5*x^6)-(7*x^5)-(2*x^4)-(3*x^3)-(4*x^2)-(5*x)-6))/(x^20+x^15+x^10+x^5+1)))))+(-(-(-(((1/80)*(((((7*x^7)+(5*x^6))-(4*x^5)-(5*x^4))+x^3)-(8*x)-5))/((((x^8-x^6)+x^4)-x^2)+1)))))+(-(-(-(((1/500000)*((81563*x^3)+(147645*x^2)+(95991*x)+95671))/(x^4+x^3+x^2+x+1)))))+(-(-(-(((1/20000)*(((2263*x^3)+(85*x^2)+(883*x))-563))/((((x^4-x^3)+x^2)-x)+1)))))+(-(-(-(((1/160)*x)/(x^2+1)))))+(-(-(-(((1/100000)*((7457*x^3)+(7777*x^2)+(1760*x)+1306))/(x^4+x^3+x^2+x+1)^2))))+(-(-(-(((1/4000)*((39*x^3)+(41*x^2)+4))/((((x^4-x^3)+x^2)-x)+1)^2))))+(-(-(-(30917/320000/(x+1)))))+(-(-(-(746867/8000000/(x-1)))))+(-(-(-(((1/800)*x^2)/((((x^4-x^3)+x^2)-x)+1)^3))))+(-(-(-(((1/20000)*((172*x^3)-(49*x^2)-(278*x)-150))/(x^4+x^3+x^2+x+1)^3))))+(-(-(-(2572071/8000000/(x-1)^2))))+(-(-(-(((1/2000)*(x^3+(4*x^2)+(4*x)+1))/(x^4+x^3+x^2+x+1)^4))))+(-(-(21/40000/(x+1)^3)))+(-(-(7049/100000/(x-1)^3)))+(-(1/80000/(x+1)^4))+(-(147/20000/(x-1)^4))+(-(41/100000/(x-1)^5))+(1/100000/(x-1)^6))))))+(2*x)+(-(-(3/8/(x+1))))+(-(-(3/8/(x-1))))+(-(3/4/(x-1)^2))+(-(3/8/(x-1)^3))+(-(3/4/(x-1)^4))+(-1))
A257890 = (((-(8000000/2572071))*(A001313+(-((-(((1/10)*(((((7*x^19)+(8*x^18)+(8*x^17)+(9*x^16)+(9*x^15)+(3*x^14)+(2*x^13)+x^12)-x^10)+(5*x^9)+(5*x^8)+(5*x^7)+(5*x^6)+(5*x^5))-(2*x^4)-(3*x^3)-(4*x^2)-(5*x)-6))/((((x^20-x^15)+x^10)-x^5)+1)))+(-(-(-(((1/50)*(((((7*x^19)+(8*x^18)+(4*x^17)+(5*x^16)+x^15+(9*x^14)+(6*x^13)+(3*x^12))-(3*x^10))+x^9)-x^8-(3*x^7)-(5*x^6)-(7*x^5)-(2*x^4)-(3*x^3)-(4*x^2)-(5*x)-6))/(x^20+x^15+x^10+x^5+1)))))+(-(-(-(((1/80)*(((((7*x^7)+(5*x^6))-(4*x^5)-(5*x^4))+x^3)-(8*x)-5))/((((x^8-x^6)+x^4)-x^2)+1)))))+(-(-(-(((1/500000)*((81563*x^3)+(147645*x^2)+(95991*x)+95671))/(x^4+x^3+x^2+x+1)))))+(-(-(-(((1/20000)*(((2263*x^3)+(85*x^2)+(883*x))-563))/((((x^4-x^3)+x^2)-x)+1)))))+(-(-(-(((1/160)*x)/(x^2+1)))))+(-(-(-(((1/100000)*((7457*x^3)+(7777*x^2)+(1760*x)+1306))/(x^4+x^3+x^2+x+1)^2))))+(-(-(-(((1/4000)*((39*x^3)+(41*x^2)+4))/((((x^4-x^3)+x^2)-x)+1)^2))))+(-(-(-(30917/320000/(x+1)))))+(-(-(-(746867/8000000/(x-1)))))+(-(-(-(((1/800)*x^2)/((((x^4-x^3)+x^2)-x)+1)^3))))+(-(-(-(((1/20000)*((172*x^3)-(49*x^2)-(278*x)-150))/(x^4+x^3+x^2+x+1)^3))))+(-(-(-(3099/320000/(x+1)^2))))+(-(-(-(((1/2000)*(x^3+(4*x^2)+(4*x)+1))/(x^4+x^3+x^2+x+1)^4))))+(-(-(21/40000/(x+1)^3)))+(-(-(7049/100000/(x-1)^3)))+(-(1/80000/(x+1)^4))+(-(147/20000/(x-1)^4))+(-(41/100000/(x-1)^5))+(1/100000/(x-1)^6)))))+(1/(x-1)^4)+(1/(x-1)^6))
A257464 = (((-(3500000/7716213))*differential((A001313+(-((-(((1/10)*(((((7*x^19)+(8*x^18)+(8*x^17)+(9*x^16)+(9*x^15)+(3*x^14)+(2*x^13)+x^12)-x^10)+(5*x^9)+(5*x^8)+(5*x^7)+(5*x^6)+(5*x^5))-(2*x^4)-(3*x^3)-(4*x^2)-(5*x)-6))/((((x^20-x^15)+x^10)-x^5)+1)))+(-(-(-(((1/50)*(((((7*x^19)+(8*x^18)+(4*x^17)+(5*x^16)+x^15+(9*x^14)+(6*x^13)+(3*x^12))-(3*x^10))+x^9)-x^8-(3*x^7)-(5*x^6)-(7*x^5)-(2*x^4)-(3*x^3)-(4*x^2)-(5*x)-6))/(x^20+x^15+x^10+x^5+1)))))+(-(-(-(((1/80)*(((((7*x^7)+(5*x^6))-(4*x^5)-(5*x^4))+x^3)-(8*x)-5))/((((x^8-x^6)+x^4)-x^2)+1)))))+(-(-(-(((1/500000)*((81563*x^3)+(147645*x^2)+(95991*x)+95671))/(x^4+x^3+x^2+x+1)))))+(-(-(-(((1/20000)*(((2263*x^3)+(85*x^2)+(883*x))-563))/((((x^4-x^3)+x^2)-x)+1)))))+(-(-(-(((1/160)*x)/(x^2+1)))))+(-(-(-(((1/100000)*((7457*x^3)+(7777*x^2)+(1760*x)+1306))/(x^4+x^3+x^2+x+1)^2))))+(-(-(-(((1/4000)*((39*x^3)+(41*x^2)+4))/((((x^4-x^3)+x^2)-x)+1)^2))))+(-(-(-(30917/320000/(x+1)))))+(-(-(-(746867/8000000/(x-1)))))+(-(-(-(((1/800)*x^2)/((((x^4-x^3)+x^2)-x)+1)^3))))+(-(-(-(((1/20000)*((172*x^3)-(49*x^2)-(278*x)-150))/(x^4+x^3+x^2+x+1)^3))))+(-(-(-(3099/320000/(x+1)^2))))+(-(-(-(((1/2000)*(x^3+(4*x^2)+(4*x)+1))/(x^4+x^3+x^2+x+1)^4))))+(-(-(21/40000/(x+1)^3)))+(-(-(7049/100000/(x-1)^3)))+(-(1/80000/(x+1)^4))+(-(147/20000/(x-1)^4))+(-(41/100000/(x-1)^5))+(1/100000/(x-1)^6))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257171 = (((-(5000/21))*(A001313+(-((-(((1/10)*(((((7*x^19)+(8*x^18)+(8*x^17)+(9*x^16)+(9*x^15)+(3*x^14)+(2*x^13)+x^12)-x^10)+(5*x^9)+(5*x^8)+(5*x^7)+(5*x^6)+(5*x^5))-(2*x^4)-(3*x^3)-(4*x^2)-(5*x)-6))/((((x^20-x^15)+x^10)-x^5)+1)))+(-(-(-(((1/50)*(((((7*x^19)+(8*x^18)+(4*x^17)+(5*x^16)+x^15+(9*x^14)+(6*x^13)+(3*x^12))-(3*x^10))+x^9)-x^8-(3*x^7)-(5*x^6)-(7*x^5)-(2*x^4)-(3*x^3)-(4*x^2)-(5*x)-6))/(x^20+x^15+x^10+x^5+1)))))+(-(-(-(((1/80)*(((((7*x^7)+(5*x^6))-(4*x^5)-(5*x^4))+x^3)-(8*x)-5))/((((x^8-x^6)+x^4)-x^2)+1)))))+(-(-(-(((1/500000)*((81563*x^3)+(147645*x^2)+(95991*x)+95671))/(x^4+x^3+x^2+x+1)))))+(-(-(-(((1/20000)*(((2263*x^3)+(85*x^2)+(883*x))-563))/((((x^4-x^3)+x^2)-x)+1)))))+(-(-(-(((1/160)*x)/(x^2+1)))))+(-(-(-(((1/100000)*((7457*x^3)+(7777*x^2)+(1760*x)+1306))/(x^4+x^3+x^2+x+1)^2))))+(-(-(-(((1/4000)*((39*x^3)+(41*x^2)+4))/((((x^4-x^3)+x^2)-x)+1)^2))))+(-(-(-(30917/320000/(x+1)))))+(-(-(-(746867/8000000/(x-1)))))+(-(-(-(((1/800)*x^2)/((((x^4-x^3)+x^2)-x)+1)^3))))+(-(-(-(((1/20000)*((172*x^3)-(49*x^2)-(278*x)-150))/(x^4+x^3+x^2+x+1)^3))))+(-(-(-(3099/320000/(x+1)^2))))+(-(-(-(2572071/8000000/(x-1)^2))))+(-(-(-(((1/2000)*(x^3+(4*x^2)+(4*x)+1))/(x^4+x^3+x^2+x+1)^4))))+(-(-(7049/100000/(x-1)^3)))+(-(1/80000/(x+1)^4))+(-(147/20000/(x-1)^4))+(-(41/100000/(x-1)^5))+(1/100000/(x-1)^6)))))+(2*x)+(-(-(3/8/(x+1))))+(-(-(3/8/(x-1))))+(-(3/4/(x-1)^2))+(-(3/8/(x-1)^3))+(-(3/4/(x-1)^4))+(-1))
A257850 = (((4000/21)*integrate((A001313+(-((-(((1/10)*(((((7*x^19)+(8*x^18)+(8*x^17)+(9*x^16)+(9*x^15)+(3*x^14)+(2*x^13)+x^12)-x^10)+(5*x^9)+(5*x^8)+(5*x^7)+(5*x^6)+(5*x^5))-(2*x^4)-(3*x^3)-(4*x^2)-(5*x)-6))/((((x^20-x^15)+x^10)-x^5)+1)))+(-(-(-(((1/50)*(((((7*x^19)+(8*x^18)+(4*x^17)+(5*x^16)+x^15+(9*x^14)+(6*x^13)+(3*x^12))-(3*x^10))+x^9)-x^8-(3*x^7)-(5*x^6)-(7*x^5)-(2*x^4)-(3*x^3)-(4*x^2)-(5*x)-6))/(x^20+x^15+x^10+x^5+1)))))+(-(-(-(((1/80)*(((((7*x^7)+(5*x^6))-(4*x^5)-(5*x^4))+x^3)-(8*x)-5))/((((x^8-x^6)+x^4)-x^2)+1)))))+(-(-(-(((1/500000)*((81563*x^3)+(147645*x^2)+(95991*x)+95671))/(x^4+x^3+x^2+x+1)))))+(-(-(-(((1/20000)*(((2263*x^3)+(85*x^2)+(883*x))-563))/((((x^4-x^3)+x^2)-x)+1)))))+(-(-(-(((1/160)*x)/(x^2+1)))))+(-(-(-(((1/100000)*((7457*x^3)+(7777*x^2)+(1760*x)+1306))/(x^4+x^3+x^2+x+1)^2))))+(-(-(-(((1/4000)*((39*x^3)+(41*x^2)+4))/((((x^4-x^3)+x^2)-x)+1)^2))))+(-(-(-(30917/320000/(x+1)))))+(-(-(-(746867/8000000/(x-1)))))+(-(-(-(((1/800)*x^2)/((((x^4-x^3)+x^2)-x)+1)^3))))+(-(-(-(((1/20000)*((172*x^3)-(49*x^2)-(278*x)-150))/(x^4+x^3+x^2+x+1)^3))))+(-(-(-(3099/320000/(x+1)^2))))+(-(-(-(2572071/8000000/(x-1)^2))))+(-(-(-(((1/2000)*(x^3+(4*x^2)+(4*x)+1))/(x^4+x^3+x^2+x+1)^4))))+(-(-(7049/100000/(x-1)^3)))+(-(1/80000/(x+1)^4))+(-(147/20000/(x-1)^4))+(-(41/100000/(x-1)^5))+(1/100000/(x-1)^6))))))+(((1/5)*((15*x^3)+(4*x^2)+(8*x)+9))/((((x^4-x^3)+x^2)-x)+1))+(-(-(((1/5)*((11*x^3)+(16*x^2)+(15*x)+8))/(x^4+x^3+x^2+x+1))))+(-(-(((1/2)*((2*x^3)+(2*x^2)+x))/(x^4+x^3+x^2+x+1)^2)))+(-(-(((1/2)*(((2*x^2)-x)+2))/((((x^4-x^3)+x^2)-x)+1)^2)))+(-(1/2/(x+1)))+(-(33/10/(x-1)))+(9/20/(x-1)^2))
A254233 = (((-(625/126))*differential((A001313+(-((-(((1/10)*(((((7*x^19)+(8*x^18)+(8*x^17)+(9*x^16)+(9*x^15)+(3*x^14)+(2*x^13)+x^12)-x^10)+(5*x^9)+(5*x^8)+(5*x^7)+(5*x^6)+(5*x^5))-(2*x^4)-(3*x^3)-(4*x^2)-(5*x)-6))/((((x^20-x^15)+x^10)-x^5)+1)))+(-(-(-(((1/50)*(((((7*x^19)+(8*x^18)+(4*x^17)+(5*x^16)+x^15+(9*x^14)+(6*x^13)+(3*x^12))-(3*x^10))+x^9)-x^8-(3*x^7)-(5*x^6)-(7*x^5)-(2*x^4)-(3*x^3)-(4*x^2)-(5*x)-6))/(x^20+x^15+x^10+x^5+1)))))+(-(-(-(((1/80)*(((((7*x^7)+(5*x^6))-(4*x^5)-(5*x^4))+x^3)-(8*x)-5))/((((x^8-x^6)+x^4)-x^2)+1)))))+(-(-(-(((1/500000)*((81563*x^3)+(147645*x^2)+(95991*x)+95671))/(x^4+x^3+x^2+x+1)))))+(-(-(-(((1/20000)*(((2263*x^3)+(85*x^2)+(883*x))-563))/((((x^4-x^3)+x^2)-x)+1)))))+(-(-(-(((1/160)*x)/(x^2+1)))))+(-(-(-(((1/100000)*((7457*x^3)+(7777*x^2)+(1760*x)+1306))/(x^4+x^3+x^2+x+1)^2))))+(-(-(-(((1/4000)*((39*x^3)+(41*x^2)+4))/((((x^4-x^3)+x^2)-x)+1)^2))))+(-(-(-(30917/320000/(x+1)))))+(-(-(-(746867/8000000/(x-1)))))+(-(-(-(((1/800)*x^2)/((((x^4-x^3)+x^2)-x)+1)^3))))+(-(-(-(((1/20000)*((172*x^3)-(49*x^2)-(278*x)-150))/(x^4+x^3+x^2+x+1)^3))))+(-(-(-(3099/320000/(x+1)^2))))+(-(-(-(2572071/8000000/(x-1)^2))))+(-(-(-(((1/2000)*(x^3+(4*x^2)+(4*x)+1))/(x^4+x^3+x^2+x+1)^4))))+(-(-(7049/100000/(x-1)^3)))+(-(1/80000/(x+1)^4))+(-(147/20000/(x-1)^4))+(-(41/100000/(x-1)^5))+(1/100000/(x-1)^6))))))+(((1/972)*((113*x)+137))/(x^2+x+1))+(-(-(-(-(-(((1/12)*(x-1))/((x^2-x)+1)))))))+(-(-(-(-(3/32/(x^2+1))))))+(-(-(-(-(((1/162)*((12*x)+11))/(x^2+x+1)^2)))))+(-(-(-(-(41/384/(x+1))))))+(-(-(-(-(4345/31104/(x-1))))))+(-(-(-(83/1536/(x+1)^2))))+(-(-(-(9205/124416/(x-1)^2))))+(-(-(-(((1/27)*x)/(x^2+x+1)^3))))+(-(-(-(3/128/(x+1)^3))))+(-(-(-(3/64/(x-1)^3))))+(-(-(23/576/(x-1)^4)))+(-(-(5/144/(x-1)^5)))+(-(1/32/(x-1)^6))+(-(1/36/(x-1)^7))+(1/36/(x-1)^8))
A257464 = (((-(12500/3021))*(A001313+(-((-(((1/10)*(((((7*x^19)+(8*x^18)+(8*x^17)+(9*x^16)+(9*x^15)+(3*x^14)+(2*x^13)+x^12)-x^10)+(5*x^9)+(5*x^8)+(5*x^7)+(5*x^6)+(5*x^5))-(2*x^4)-(3*x^3)-(4*x^2)-(5*x)-6))/((((x^20-x^15)+x^10)-x^5)+1)))+(-(-(-(((1/50)*(((((7*x^19)+(8*x^18)+(4*x^17)+(5*x^16)+x^15+(9*x^14)+(6*x^13)+(3*x^12))-(3*x^10))+x^9)-x^8-(3*x^7)-(5*x^6)-(7*x^5)-(2*x^4)-(3*x^3)-(4*x^2)-(5*x)-6))/(x^20+x^15+x^10+x^5+1)))))+(-(-(-(((1/80)*(((((7*x^7)+(5*x^6))-(4*x^5)-(5*x^4))+x^3)-(8*x)-5))/((((x^8-x^6)+x^4)-x^2)+1)))))+(-(-(-(((1/500000)*((81563*x^3)+(147645*x^2)+(95991*x)+95671))/(x^4+x^3+x^2+x+1)))))+(-(-(-(((1/20000)*(((2263*x^3)+(85*x^2)+(883*x))-563))/((((x^4-x^3)+x^2)-x)+1)))))+(-(-(-(((1/160)*x)/(x^2+1)))))+(-(-(-(((1/100000)*((7457*x^3)+(7777*x^2)+(1760*x)+1306))/(x^4+x^3+x^2+x+1)^2))))+(-(-(-(((1/4000)*((39*x^3)+(41*x^2)+4))/((((x^4-x^3)+x^2)-x)+1)^2))))+(-(-(-(30917/320000/(x+1)))))+(-(-(-(746867/8000000/(x-1)))))+(-(-(-(((1/800)*x^2)/((((x^4-x^3)+x^2)-x)+1)^3))))+(-(-(-(((1/20000)*((172*x^3)-(49*x^2)-(278*x)-150))/(x^4+x^3+x^2+x+1)^3))))+(-(-(-(3099/320000/(x+1)^2))))+(-(-(-(2572071/8000000/(x-1)^2))))+(-(-(-(((1/2000)*(x^3+(4*x^2)+(4*x)+1))/(x^4+x^3+x^2+x+1)^4))))+(-(-(21/40000/(x+1)^3)))+(-(1/80000/(x+1)^4))+(-(147/20000/(x-1)^4))+(-(41/100000/(x-1)^5))+(1/100000/(x-1)^6)))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257890 = (((-(200000/7049))*integrate((A001313+(-((-(((1/10)*(((((7*x^19)+(8*x^18)+(8*x^17)+(9*x^16)+(9*x^15)+(3*x^14)+(2*x^13)+x^12)-x^10)+(5*x^9)+(5*x^8)+(5*x^7)+(5*x^6)+(5*x^5))-(2*x^4)-(3*x^3)-(4*x^2)-(5*x)-6))/((((x^20-x^15)+x^10)-x^5)+1)))+(-(-(-(((1/50)*(((((7*x^19)+(8*x^18)+(4*x^17)+(5*x^16)+x^15+(9*x^14)+(6*x^13)+(3*x^12))-(3*x^10))+x^9)-x^8-(3*x^7)-(5*x^6)-(7*x^5)-(2*x^4)-(3*x^3)-(4*x^2)-(5*x)-6))/(x^20+x^15+x^10+x^5+1)))))+(-(-(-(((1/80)*(((((7*x^7)+(5*x^6))-(4*x^5)-(5*x^4))+x^3)-(8*x)-5))/((((x^8-x^6)+x^4)-x^2)+1)))))+(-(-(-(((1/500000)*((81563*x^3)+(147645*x^2)+(95991*x)+95671))/(x^4+x^3+x^2+x+1)))))+(-(-(-(((1/20000)*(((2263*x^3)+(85*x^2)+(883*x))-563))/((((x^4-x^3)+x^2)-x)+1)))))+(-(-(-(((1/160)*x)/(x^2+1)))))+(-(-(-(((1/100000)*((7457*x^3)+(7777*x^2)+(1760*x)+1306))/(x^4+x^3+x^2+x+1)^2))))+(-(-(-(((1/4000)*((39*x^3)+(41*x^2)+4))/((((x^4-x^3)+x^2)-x)+1)^2))))+(-(-(-(30917/320000/(x+1)))))+(-(-(-(746867/8000000/(x-1)))))+(-(-(-(((1/800)*x^2)/((((x^4-x^3)+x^2)-x)+1)^3))))+(-(-(-(((1/20000)*((172*x^3)-(49*x^2)-(278*x)-150))/(x^4+x^3+x^2+x+1)^3))))+(-(-(-(3099/320000/(x+1)^2))))+(-(-(-(2572071/8000000/(x-1)^2))))+(-(-(-(((1/2000)*(x^3+(4*x^2)+(4*x)+1))/(x^4+x^3+x^2+x+1)^4))))+(-(-(21/40000/(x+1)^3)))+(-(1/80000/(x+1)^4))+(-(147/20000/(x-1)^4))+(-(41/100000/(x-1)^5))+(1/100000/(x-1)^6))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257890 = (((-(100000/21147))*differential((A001313+(-((-(((1/10)*(((((7*x^19)+(8*x^18)+(8*x^17)+(9*x^16)+(9*x^15)+(3*x^14)+(2*x^13)+x^12)-x^10)+(5*x^9)+(5*x^8)+(5*x^7)+(5*x^6)+(5*x^5))-(2*x^4)-(3*x^3)-(4*x^2)-(5*x)-6))/((((x^20-x^15)+x^10)-x^5)+1)))+(-(-(-(((1/50)*(((((7*x^19)+(8*x^18)+(4*x^17)+(5*x^16)+x^15+(9*x^14)+(6*x^13)+(3*x^12))-(3*x^10))+x^9)-x^8-(3*x^7)-(5*x^6)-(7*x^5)-(2*x^4)-(3*x^3)-(4*x^2)-(5*x)-6))/(x^20+x^15+x^10+x^5+1)))))+(-(-(-(((1/80)*(((((7*x^7)+(5*x^6))-(4*x^5)-(5*x^4))+x^3)-(8*x)-5))/((((x^8-x^6)+x^4)-x^2)+1)))))+(-(-(-(((1/500000)*((81563*x^3)+(147645*x^2)+(95991*x)+95671))/(x^4+x^3+x^2+x+1)))))+(-(-(-(((1/20000)*(((2263*x^3)+(85*x^2)+(883*x))-563))/((((x^4-x^3)+x^2)-x)+1)))))+(-(-(-(((1/160)*x)/(x^2+1)))))+(-(-(-(((1/100000)*((7457*x^3)+(7777*x^2)+(1760*x)+1306))/(x^4+x^3+x^2+x+1)^2))))+(-(-(-(((1/4000)*((39*x^3)+(41*x^2)+4))/((((x^4-x^3)+x^2)-x)+1)^2))))+(-(-(-(30917/320000/(x+1)))))+(-(-(-(746867/8000000/(x-1)))))+(-(-(-(((1/800)*x^2)/((((x^4-x^3)+x^2)-x)+1)^3))))+(-(-(-(((1/20000)*((172*x^3)-(49*x^2)-(278*x)-150))/(x^4+x^3+x^2+x+1)^3))))+(-(-(-(3099/320000/(x+1)^2))))+(-(-(-(2572071/8000000/(x-1)^2))))+(-(-(-(((1/2000)*(x^3+(4*x^2)+(4*x)+1))/(x^4+x^3+x^2+x+1)^4))))+(-(-(21/40000/(x+1)^3)))+(-(1/80000/(x+1)^4))+(-(147/20000/(x-1)^4))+(-(41/100000/(x-1)^5))+(1/100000/(x-1)^6))))))+(1/(x-1)^2)+(1/(x-1)^6))
A254233 = (((-625)*(A001313+(-((-(((1/10)*(((((7*x^19)+(8*x^18)+(8*x^17)+(9*x^16)+(9*x^15)+(3*x^14)+(2*x^13)+x^12)-x^10)+(5*x^9)+(5*x^8)+(5*x^7)+(5*x^6)+(5*x^5))-(2*x^4)-(3*x^3)-(4*x^2)-(5*x)-6))/((((x^20-x^15)+x^10)-x^5)+1)))+(-(-(-(((1/50)*(((((7*x^19)+(8*x^18)+(4*x^17)+(5*x^16)+x^15+(9*x^14)+(6*x^13)+(3*x^12))-(3*x^10))+x^9)-x^8-(3*x^7)-(5*x^6)-(7*x^5)-(2*x^4)-(3*x^3)-(4*x^2)-(5*x)-6))/(x^20+x^15+x^10+x^5+1)))))+(-(-(-(((1/80)*(((((7*x^7)+(5*x^6))-(4*x^5)-(5*x^4))+x^3)-(8*x)-5))/((((x^8-x^6)+x^4)-x^2)+1)))))+(-(-(-(((1/500000)*((81563*x^3)+(147645*x^2)+(95991*x)+95671))/(x^4+x^3+x^2+x+1)))))+(-(-(-(((1/20000)*(((2263*x^3)+(85*x^2)+(883*x))-563))/((((x^4-x^3)+x^2)-x)+1)))))+(-(-(-(((1/160)*x)/(x^2+1)))))+(-(-(-(((1/100000)*((7457*x^3)+(7777*x^2)+(1760*x)+1306))/(x^4+x^3+x^2+x+1)^2))))+(-(-(-(((1/4000)*((39*x^3)+(41*x^2)+4))/((((x^4-x^3)+x^2)-x)+1)^2))))+(-(-(-(30917/320000/(x+1)))))+(-(-(-(746867/8000000/(x-1)))))+(-(-(-(((1/800)*x^2)/((((x^4-x^3)+x^2)-x)+1)^3))))+(-(-(-(((1/20000)*((172*x^3)-(49*x^2)-(278*x)-150))/(x^4+x^3+x^2+x+1)^3))))+(-(-(-(3099/320000/(x+1)^2))))+(-(-(-(2572071/8000000/(x-1)^2))))+(-(-(-(((1/2000)*(x^3+(4*x^2)+(4*x)+1))/(x^4+x^3+x^2+x+1)^4))))+(-(-(21/40000/(x+1)^3)))+(-(-(7049/100000/(x-1)^3)))+(-(147/20000/(x-1)^4))+(-(41/100000/(x-1)^5))+(1/100000/(x-1)^6)))))+(((1/972)*((113*x)+137))/(x^2+x+1))+(-(-(-(-(-(((1/12)*(x-1))/((x^2-x)+1)))))))+(-(-(-(-(3/32/(x^2+1))))))+(-(-(-(-(((1/162)*((12*x)+11))/(x^2+x+1)^2)))))+(-(-(-(-(41/384/(x+1))))))+(-(-(-(-(4345/31104/(x-1))))))+(-(-(-(83/1536/(x+1)^2))))+(-(-(-(9205/124416/(x-1)^2))))+(-(-(-(((1/27)*x)/(x^2+x+1)^3))))+(-(-(-(3/128/(x+1)^3))))+(-(-(-(3/64/(x-1)^3))))+(-(-(23/576/(x-1)^4)))+(-(-(5/144/(x-1)^5)))+(-(1/32/(x-1)^6))+(-(1/36/(x-1)^7))+(1/36/(x-1)^8))
A257171 = (((-30000)*integrate((A001313+(-((-(((1/10)*(((((7*x^19)+(8*x^18)+(8*x^17)+(9*x^16)+(9*x^15)+(3*x^14)+(2*x^13)+x^12)-x^10)+(5*x^9)+(5*x^8)+(5*x^7)+(5*x^6)+(5*x^5))-(2*x^4)-(3*x^3)-(4*x^2)-(5*x)-6))/((((x^20-x^15)+x^10)-x^5)+1)))+(-(-(-(((1/50)*(((((7*x^19)+(8*x^18)+(4*x^17)+(5*x^16)+x^15+(9*x^14)+(6*x^13)+(3*x^12))-(3*x^10))+x^9)-x^8-(3*x^7)-(5*x^6)-(7*x^5)-(2*x^4)-(3*x^3)-(4*x^2)-(5*x)-6))/(x^20+x^15+x^10+x^5+1)))))+(-(-(-(((1/80)*(((((7*x^7)+(5*x^6))-(4*x^5)-(5*x^4))+x^3)-(8*x)-5))/((((x^8-x^6)+x^4)-x^2)+1)))))+(-(-(-(((1/500000)*((81563*x^3)+(147645*x^2)+(95991*x)+95671))/(x^4+x^3+x^2+x+1)))))+(-(-(-(((1/20000)*(((2263*x^3)+(85*x^2)+(883*x))-563))/((((x^4-x^3)+x^2)-x)+1)))))+(-(-(-(((1/160)*x)/(x^2+1)))))+(-(-(-(((1/100000)*((7457*x^3)+(7777*x^2)+(1760*x)+1306))/(x^4+x^3+x^2+x+1)^2))))+(-(-(-(((1/4000)*((39*x^3)+(41*x^2)+4))/((((x^4-x^3)+x^2)-x)+1)^2))))+(-(-(-(30917/320000/(x+1)))))+(-(-(-(746867/8000000/(x-1)))))+(-(-(-(((1/800)*x^2)/((((x^4-x^3)+x^2)-x)+1)^3))))+(-(-(-(((1/20000)*((172*x^3)-(49*x^2)-(278*x)-150))/(x^4+x^3+x^2+x+1)^3))))+(-(-(-(3099/320000/(x+1)^2))))+(-(-(-(2572071/8000000/(x-1)^2))))+(-(-(-(((1/2000)*(x^3+(4*x^2)+(4*x)+1))/(x^4+x^3+x^2+x+1)^4))))+(-(-(21/40000/(x+1)^3)))+(-(-(7049/100000/(x-1)^3)))+(-(147/20000/(x-1)^4))+(-(41/100000/(x-1)^5))+(1/100000/(x-1)^6))))))+(2*x)+(-(-(3/8/(x+1))))+(-(-(3/8/(x-1))))+(-(3/4/(x-1)^2))+(-(3/8/(x-1)^3))+(-(3/4/(x-1)^4))+(-1))
A257890 = (((-(20000/147))*(A001313+(-((-(((1/10)*(((((7*x^19)+(8*x^18)+(8*x^17)+(9*x^16)+(9*x^15)+(3*x^14)+(2*x^13)+x^12)-x^10)+(5*x^9)+(5*x^8)+(5*x^7)+(5*x^6)+(5*x^5))-(2*x^4)-(3*x^3)-(4*x^2)-(5*x)-6))/((((x^20-x^15)+x^10)-x^5)+1)))+(-(-(-(((1/50)*(((((7*x^19)+(8*x^18)+(4*x^17)+(5*x^16)+x^15+(9*x^14)+(6*x^13)+(3*x^12))-(3*x^10))+x^9)-x^8-(3*x^7)-(5*x^6)-(7*x^5)-(2*x^4)-(3*x^3)-(4*x^2)-(5*x)-6))/(x^20+x^15+x^10+x^5+1)))))+(-(-(-(((1/80)*(((((7*x^7)+(5*x^6))-(4*x^5)-(5*x^4))+x^3)-(8*x)-5))/((((x^8-x^6)+x^4)-x^2)+1)))))+(-(-(-(((1/500000)*((81563*x^3)+(147645*x^2)+(95991*x)+95671))/(x^4+x^3+x^2+x+1)))))+(-(-(-(((1/20000)*(((2263*x^3)+(85*x^2)+(883*x))-563))/((((x^4-x^3)+x^2)-x)+1)))))+(-(-(-(((1/160)*x)/(x^2+1)))))+(-(-(-(((1/100000)*((7457*x^3)+(7777*x^2)+(1760*x)+1306))/(x^4+x^3+x^2+x+1)^2))))+(-(-(-(((1/4000)*((39*x^3)+(41*x^2)+4))/((((x^4-x^3)+x^2)-x)+1)^2))))+(-(-(-(30917/320000/(x+1)))))+(-(-(-(746867/8000000/(x-1)))))+(-(-(-(((1/800)*x^2)/((((x^4-x^3)+x^2)-x)+1)^3))))+(-(-(-(((1/20000)*((172*x^3)-(49*x^2)-(278*x)-150))/(x^4+x^3+x^2+x+1)^3))))+(-(-(-(3099/320000/(x+1)^2))))+(-(-(-(2572071/8000000/(x-1)^2))))+(-(-(-(((1/2000)*(x^3+(4*x^2)+(4*x)+1))/(x^4+x^3+x^2+x+1)^4))))+(-(-(21/40000/(x+1)^3)))+(-(-(7049/100000/(x-1)^3)))+(-(1/80000/(x+1)^4))+(-(41/100000/(x-1)^5))+(1/100000/(x-1)^6)))))+(1/(x-1)^2)+(1/(x-1)^6))
A257464 = (((-(2500/21))*integrate((A001313+(-((-(((1/10)*(((((7*x^19)+(8*x^18)+(8*x^17)+(9*x^16)+(9*x^15)+(3*x^14)+(2*x^13)+x^12)-x^10)+(5*x^9)+(5*x^8)+(5*x^7)+(5*x^6)+(5*x^5))-(2*x^4)-(3*x^3)-(4*x^2)-(5*x)-6))/((((x^20-x^15)+x^10)-x^5)+1)))+(-(-(-(((1/50)*(((((7*x^19)+(8*x^18)+(4*x^17)+(5*x^16)+x^15+(9*x^14)+(6*x^13)+(3*x^12))-(3*x^10))+x^9)-x^8-(3*x^7)-(5*x^6)-(7*x^5)-(2*x^4)-(3*x^3)-(4*x^2)-(5*x)-6))/(x^20+x^15+x^10+x^5+1)))))+(-(-(-(((1/80)*(((((7*x^7)+(5*x^6))-(4*x^5)-(5*x^4))+x^3)-(8*x)-5))/((((x^8-x^6)+x^4)-x^2)+1)))))+(-(-(-(((1/500000)*((81563*x^3)+(147645*x^2)+(95991*x)+95671))/(x^4+x^3+x^2+x+1)))))+(-(-(-(((1/20000)*(((2263*x^3)+(85*x^2)+(883*x))-563))/((((x^4-x^3)+x^2)-x)+1)))))+(-(-(-(((1/160)*x)/(x^2+1)))))+(-(-(-(((1/100000)*((7457*x^3)+(7777*x^2)+(1760*x)+1306))/(x^4+x^3+x^2+x+1)^2))))+(-(-(-(((1/4000)*((39*x^3)+(41*x^2)+4))/((((x^4-x^3)+x^2)-x)+1)^2))))+(-(-(-(30917/320000/(x+1)))))+(-(-(-(746867/8000000/(x-1)))))+(-(-(-(((1/800)*x^2)/((((x^4-x^3)+x^2)-x)+1)^3))))+(-(-(-(((1/20000)*((172*x^3)-(49*x^2)-(278*x)-150))/(x^4+x^3+x^2+x+1)^3))))+(-(-(-(3099/320000/(x+1)^2))))+(-(-(-(2572071/8000000/(x-1)^2))))+(-(-(-(((1/2000)*(x^3+(4*x^2)+(4*x)+1))/(x^4+x^3+x^2+x+1)^4))))+(-(-(21/40000/(x+1)^3)))+(-(-(7049/100000/(x-1)^3)))+(-(1/80000/(x+1)^4))+(-(41/100000/(x-1)^5))+(1/100000/(x-1)^6))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257464 = (((-(2500/147))*differential((A001313+(-((-(((1/10)*(((((7*x^19)+(8*x^18)+(8*x^17)+(9*x^16)+(9*x^15)+(3*x^14)+(2*x^13)+x^12)-x^10)+(5*x^9)+(5*x^8)+(5*x^7)+(5*x^6)+(5*x^5))-(2*x^4)-(3*x^3)-(4*x^2)-(5*x)-6))/((((x^20-x^15)+x^10)-x^5)+1)))+(-(-(-(((1/50)*(((((7*x^19)+(8*x^18)+(4*x^17)+(5*x^16)+x^15+(9*x^14)+(6*x^13)+(3*x^12))-(3*x^10))+x^9)-x^8-(3*x^7)-(5*x^6)-(7*x^5)-(2*x^4)-(3*x^3)-(4*x^2)-(5*x)-6))/(x^20+x^15+x^10+x^5+1)))))+(-(-(-(((1/80)*(((((7*x^7)+(5*x^6))-(4*x^5)-(5*x^4))+x^3)-(8*x)-5))/((((x^8-x^6)+x^4)-x^2)+1)))))+(-(-(-(((1/500000)*((81563*x^3)+(147645*x^2)+(95991*x)+95671))/(x^4+x^3+x^2+x+1)))))+(-(-(-(((1/20000)*(((2263*x^3)+(85*x^2)+(883*x))-563))/((((x^4-x^3)+x^2)-x)+1)))))+(-(-(-(((1/160)*x)/(x^2+1)))))+(-(-(-(((1/100000)*((7457*x^3)+(7777*x^2)+(1760*x)+1306))/(x^4+x^3+x^2+x+1)^2))))+(-(-(-(((1/4000)*((39*x^3)+(41*x^2)+4))/((((x^4-x^3)+x^2)-x)+1)^2))))+(-(-(-(30917/320000/(x+1)))))+(-(-(-(746867/8000000/(x-1)))))+(-(-(-(((1/800)*x^2)/((((x^4-x^3)+x^2)-x)+1)^3))))+(-(-(-(((1/20000)*((172*x^3)-(49*x^2)-(278*x)-150))/(x^4+x^3+x^2+x+1)^3))))+(-(-(-(3099/320000/(x+1)^2))))+(-(-(-(2572071/8000000/(x-1)^2))))+(-(-(-(((1/2000)*(x^3+(4*x^2)+(4*x)+1))/(x^4+x^3+x^2+x+1)^4))))+(-(-(21/40000/(x+1)^3)))+(-(-(7049/100000/(x-1)^3)))+(-(1/80000/(x+1)^4))+(-(41/100000/(x-1)^5))+(1/100000/(x-1)^6))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(7/24/(x-1)^3))+(-(1/2/(x-1)^4)))
A257464 = (((50000/41)*(A001313+(-((-(((1/10)*(((((7*x^19)+(8*x^18)+(8*x^17)+(9*x^16)+(9*x^15)+(3*x^14)+(2*x^13)+x^12)-x^10)+(5*x^9)+(5*x^8)+(5*x^7)+(5*x^6)+(5*x^5))-(2*x^4)-(3*x^3)-(4*x^2)-(5*x)-6))/((((x^20-x^15)+x^10)-x^5)+1)))+(-(-(-(((1/50)*(((((7*x^19)+(8*x^18)+(4*x^17)+(5*x^16)+x^15+(9*x^14)+(6*x^13)+(3*x^12))-(3*x^10))+x^9)-x^8-(3*x^7)-(5*x^6)-(7*x^5)-(2*x^4)-(3*x^3)-(4*x^2)-(5*x)-6))/(x^20+x^15+x^10+x^5+1)))))+(-(-(-(((1/80)*(((((7*x^7)+(5*x^6))-(4*x^5)-(5*x^4))+x^3)-(8*x)-5))/((((x^8-x^6)+x^4)-x^2)+1)))))+(-(-(-(((1/500000)*((81563*x^3)+(147645*x^2)+(95991*x)+95671))/(x^4+x^3+x^2+x+1)))))+(-(-(-(((1/20000)*(((2263*x^3)+(85*x^2)+(883*x))-563))/((((x^4-x^3)+x^2)-x)+1)))))+(-(-(-(((1/160)*x)/(x^2+1)))))+(-(-(-(((1/100000)*((7457*x^3)+(7777*x^2)+(1760*x)+1306))/(x^4+x^3+x^2+x+1)^2))))+(-(-(-(((1/4000)*((39*x^3)+(41*x^2)+4))/((((x^4-x^3)+x^2)-x)+1)^2))))+(-(-(-(30917/320000/(x+1)))))+(-(-(-(746867/8000000/(x-1)))))+(-(-(-(((1/800)*x^2)/((((x^4-x^3)+x^2)-x)+1)^3))))+(-(-(-(((1/20000)*((172*x^3)-(49*x^2)-(278*x)-150))/(x^4+x^3+x^2+x+1)^3))))+(-(-(-(3099/320000/(x+1)^2))))+(-(-(-(2572071/8000000/(x-1)^2))))+(-(-(-(((1/2000)*(x^3+(4*x^2)+(4*x)+1))/(x^4+x^3+x^2+x+1)^4))))+(-(-(21/40000/(x+1)^3)))+(-(-(7049/100000/(x-1)^3)))+(-(1/80000/(x+1)^4))+(-(147/20000/(x-1)^4))+(1/100000/(x-1)^6)))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(7/24/(x-1)^3))+(-(1/2/(x-1)^4)))
A257890 = (((400000/41)*integrate((A001313+(-((-(((1/10)*(((((7*x^19)+(8*x^18)+(8*x^17)+(9*x^16)+(9*x^15)+(3*x^14)+(2*x^13)+x^12)-x^10)+(5*x^9)+(5*x^8)+(5*x^7)+(5*x^6)+(5*x^5))-(2*x^4)-(3*x^3)-(4*x^2)-(5*x)-6))/((((x^20-x^15)+x^10)-x^5)+1)))+(-(-(-(((1/50)*(((((7*x^19)+(8*x^18)+(4*x^17)+(5*x^16)+x^15+(9*x^14)+(6*x^13)+(3*x^12))-(3*x^10))+x^9)-x^8-(3*x^7)-(5*x^6)-(7*x^5)-(2*x^4)-(3*x^3)-(4*x^2)-(5*x)-6))/(x^20+x^15+x^10+x^5+1)))))+(-(-(-(((1/80)*(((((7*x^7)+(5*x^6))-(4*x^5)-(5*x^4))+x^3)-(8*x)-5))/((((x^8-x^6)+x^4)-x^2)+1)))))+(-(-(-(((1/500000)*((81563*x^3)+(147645*x^2)+(95991*x)+95671))/(x^4+x^3+x^2+x+1)))))+(-(-(-(((1/20000)*(((2263*x^3)+(85*x^2)+(883*x))-563))/((((x^4-x^3)+x^2)-x)+1)))))+(-(-(-(((1/160)*x)/(x^2+1)))))+(-(-(-(((1/100000)*((7457*x^3)+(7777*x^2)+(1760*x)+1306))/(x^4+x^3+x^2+x+1)^2))))+(-(-(-(((1/4000)*((39*x^3)+(41*x^2)+4))/((((x^4-x^3)+x^2)-x)+1)^2))))+(-(-(-(30917/320000/(x+1)))))+(-(-(-(746867/8000000/(x-1)))))+(-(-(-(((1/800)*x^2)/((((x^4-x^3)+x^2)-x)+1)^3))))+(-(-(-(((1/20000)*((172*x^3)-(49*x^2)-(278*x)-150))/(x^4+x^3+x^2+x+1)^3))))+(-(-(-(3099/320000/(x+1)^2))))+(-(-(-(2572071/8000000/(x-1)^2))))+(-(-(-(((1/2000)*(x^3+(4*x^2)+(4*x)+1))/(x^4+x^3+x^2+x+1)^4))))+(-(-(21/40000/(x+1)^3)))+(-(-(7049/100000/(x-1)^3)))+(-(1/80000/(x+1)^4))+(-(147/20000/(x-1)^4))+(1/100000/(x-1)^6))))))+(1/(x-1)^2)+(1/(x-1)^6))
A257890 = (((20000/41)*differential((A001313+(-((-(((1/10)*(((((7*x^19)+(8*x^18)+(8*x^17)+(9*x^16)+(9*x^15)+(3*x^14)+(2*x^13)+x^12)-x^10)+(5*x^9)+(5*x^8)+(5*x^7)+(5*x^6)+(5*x^5))-(2*x^4)-(3*x^3)-(4*x^2)-(5*x)-6))/((((x^20-x^15)+x^10)-x^5)+1)))+(-(-(-(((1/50)*(((((7*x^19)+(8*x^18)+(4*x^17)+(5*x^16)+x^15+(9*x^14)+(6*x^13)+(3*x^12))-(3*x^10))+x^9)-x^8-(3*x^7)-(5*x^6)-(7*x^5)-(2*x^4)-(3*x^3)-(4*x^2)-(5*x)-6))/(x^20+x^15+x^10+x^5+1)))))+(-(-(-(((1/80)*(((((7*x^7)+(5*x^6))-(4*x^5)-(5*x^4))+x^3)-(8*x)-5))/((((x^8-x^6)+x^4)-x^2)+1)))))+(-(-(-(((1/500000)*((81563*x^3)+(147645*x^2)+(95991*x)+95671))/(x^4+x^3+x^2+x+1)))))+(-(-(-(((1/20000)*(((2263*x^3)+(85*x^2)+(883*x))-563))/((((x^4-x^3)+x^2)-x)+1)))))+(-(-(-(((1/160)*x)/(x^2+1)))))+(-(-(-(((1/100000)*((7457*x^3)+(7777*x^2)+(1760*x)+1306))/(x^4+x^3+x^2+x+1)^2))))+(-(-(-(((1/4000)*((39*x^3)+(41*x^2)+4))/((((x^4-x^3)+x^2)-x)+1)^2))))+(-(-(-(30917/320000/(x+1)))))+(-(-(-(746867/8000000/(x-1)))))+(-(-(-(((1/800)*x^2)/((((x^4-x^3)+x^2)-x)+1)^3))))+(-(-(-(((1/20000)*((172*x^3)-(49*x^2)-(278*x)-150))/(x^4+x^3+x^2+x+1)^3))))+(-(-(-(3099/320000/(x+1)^2))))+(-(-(-(2572071/8000000/(x-1)^2))))+(-(-(-(((1/2000)*(x^3+(4*x^2)+(4*x)+1))/(x^4+x^3+x^2+x+1)^4))))+(-(-(21/40000/(x+1)^3)))+(-(-(7049/100000/(x-1)^3)))+(-(1/80000/(x+1)^4))+(-(147/20000/(x-1)^4))+(1/100000/(x-1)^6))))))+(1/(x-1)^2)+(1/(x-1)^4))
A257890 = ((100000*(A001313+(-((-(((1/10)*(((((7*x^19)+(8*x^18)+(8*x^17)+(9*x^16)+(9*x^15)+(3*x^14)+(2*x^13)+x^12)-x^10)+(5*x^9)+(5*x^8)+(5*x^7)+(5*x^6)+(5*x^5))-(2*x^4)-(3*x^3)-(4*x^2)-(5*x)-6))/((((x^20-x^15)+x^10)-x^5)+1)))+(-(-(-(((1/50)*(((((7*x^19)+(8*x^18)+(4*x^17)+(5*x^16)+x^15+(9*x^14)+(6*x^13)+(3*x^12))-(3*x^10))+x^9)-x^8-(3*x^7)-(5*x^6)-(7*x^5)-(2*x^4)-(3*x^3)-(4*x^2)-(5*x)-6))/(x^20+x^15+x^10+x^5+1)))))+(-(-(-(((1/80)*(((((7*x^7)+(5*x^6))-(4*x^5)-(5*x^4))+x^3)-(8*x)-5))/((((x^8-x^6)+x^4)-x^2)+1)))))+(-(-(-(((1/500000)*((81563*x^3)+(147645*x^2)+(95991*x)+95671))/(x^4+x^3+x^2+x+1)))))+(-(-(-(((1/20000)*(((2263*x^3)+(85*x^2)+(883*x))-563))/((((x^4-x^3)+x^2)-x)+1)))))+(-(-(-(((1/160)*x)/(x^2+1)))))+(-(-(-(((1/100000)*((7457*x^3)+(7777*x^2)+(1760*x)+1306))/(x^4+x^3+x^2+x+1)^2))))+(-(-(-(((1/4000)*((39*x^3)+(41*x^2)+4))/((((x^4-x^3)+x^2)-x)+1)^2))))+(-(-(-(30917/320000/(x+1)))))+(-(-(-(746867/8000000/(x-1)))))+(-(-(-(((1/800)*x^2)/((((x^4-x^3)+x^2)-x)+1)^3))))+(-(-(-(((1/20000)*((172*x^3)-(49*x^2)-(278*x)-150))/(x^4+x^3+x^2+x+1)^3))))+(-(-(-(3099/320000/(x+1)^2))))+(-(-(-(2572071/8000000/(x-1)^2))))+(-(-(-(((1/2000)*(x^3+(4*x^2)+(4*x)+1))/(x^4+x^3+x^2+x+1)^4))))+(-(-(21/40000/(x+1)^3)))+(-(-(7049/100000/(x-1)^3)))+(-(1/80000/(x+1)^4))+(-(147/20000/(x-1)^4))+(-(41/100000/(x-1)^5))))))+(1/(x-1)^2)+(1/(x-1)^4))
A257464 = ((250000*integrate((A001313+(-((-(((1/10)*(((((7*x^19)+(8*x^18)+(8*x^17)+(9*x^16)+(9*x^15)+(3*x^14)+(2*x^13)+x^12)-x^10)+(5*x^9)+(5*x^8)+(5*x^7)+(5*x^6)+(5*x^5))-(2*x^4)-(3*x^3)-(4*x^2)-(5*x)-6))/((((x^20-x^15)+x^10)-x^5)+1)))+(-(-(-(((1/50)*(((((7*x^19)+(8*x^18)+(4*x^17)+(5*x^16)+x^15+(9*x^14)+(6*x^13)+(3*x^12))-(3*x^10))+x^9)-x^8-(3*x^7)-(5*x^6)-(7*x^5)-(2*x^4)-(3*x^3)-(4*x^2)-(5*x)-6))/(x^20+x^15+x^10+x^5+1)))))+(-(-(-(((1/80)*(((((7*x^7)+(5*x^6))-(4*x^5)-(5*x^4))+x^3)-(8*x)-5))/((((x^8-x^6)+x^4)-x^2)+1)))))+(-(-(-(((1/500000)*((81563*x^3)+(147645*x^2)+(95991*x)+95671))/(x^4+x^3+x^2+x+1)))))+(-(-(-(((1/20000)*(((2263*x^3)+(85*x^2)+(883*x))-563))/((((x^4-x^3)+x^2)-x)+1)))))+(-(-(-(((1/160)*x)/(x^2+1)))))+(-(-(-(((1/100000)*((7457*x^3)+(7777*x^2)+(1760*x)+1306))/(x^4+x^3+x^2+x+1)^2))))+(-(-(-(((1/4000)*((39*x^3)+(41*x^2)+4))/((((x^4-x^3)+x^2)-x)+1)^2))))+(-(-(-(30917/320000/(x+1)))))+(-(-(-(746867/8000000/(x-1)))))+(-(-(-(((1/800)*x^2)/((((x^4-x^3)+x^2)-x)+1)^3))))+(-(-(-(((1/20000)*((172*x^3)-(49*x^2)-(278*x)-150))/(x^4+x^3+x^2+x+1)^3))))+(-(-(-(3099/320000/(x+1)^2))))+(-(-(-(2572071/8000000/(x-1)^2))))+(-(-(-(((1/2000)*(x^3+(4*x^2)+(4*x)+1))/(x^4+x^3+x^2+x+1)^4))))+(-(-(21/40000/(x+1)^3)))+(-(-(7049/100000/(x-1)^3)))+(-(1/80000/(x+1)^4))+(-(147/20000/(x-1)^4))+(-(41/100000/(x-1)^5)))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(7/24/(x-1)^3))+(-(1/2/(x-1)^4)))
A257201 = (((-(100000/3))*differential((A001313+(-((-(((1/10)*(((((7*x^19)+(8*x^18)+(8*x^17)+(9*x^16)+(9*x^15)+(3*x^14)+(2*x^13)+x^12)-x^10)+(5*x^9)+(5*x^8)+(5*x^7)+(5*x^6)+(5*x^5))-(2*x^4)-(3*x^3)-(4*x^2)-(5*x)-6))/((((x^20-x^15)+x^10)-x^5)+1)))+(-(-(-(((1/50)*(((((7*x^19)+(8*x^18)+(4*x^17)+(5*x^16)+x^15+(9*x^14)+(6*x^13)+(3*x^12))-(3*x^10))+x^9)-x^8-(3*x^7)-(5*x^6)-(7*x^5)-(2*x^4)-(3*x^3)-(4*x^2)-(5*x)-6))/(x^20+x^15+x^10+x^5+1)))))+(-(-(-(((1/80)*(((((7*x^7)+(5*x^6))-(4*x^5)-(5*x^4))+x^3)-(8*x)-5))/((((x^8-x^6)+x^4)-x^2)+1)))))+(-(-(-(((1/500000)*((81563*x^3)+(147645*x^2)+(95991*x)+95671))/(x^4+x^3+x^2+x+1)))))+(-(-(-(((1/20000)*(((2263*x^3)+(85*x^2)+(883*x))-563))/((((x^4-x^3)+x^2)-x)+1)))))+(-(-(-(((1/160)*x)/(x^2+1)))))+(-(-(-(((1/100000)*((7457*x^3)+(7777*x^2)+(1760*x)+1306))/(x^4+x^3+x^2+x+1)^2))))+(-(-(-(((1/4000)*((39*x^3)+(41*x^2)+4))/((((x^4-x^3)+x^2)-x)+1)^2))))+(-(-(-(30917/320000/(x+1)))))+(-(-(-(746867/8000000/(x-1)))))+(-(-(-(((1/800)*x^2)/((((x^4-x^3)+x^2)-x)+1)^3))))+(-(-(-(((1/20000)*((172*x^3)-(49*x^2)-(278*x)-150))/(x^4+x^3+x^2+x+1)^3))))+(-(-(-(3099/320000/(x+1)^2))))+(-(-(-(2572071/8000000/(x-1)^2))))+(-(-(-(((1/2000)*(x^3+(4*x^2)+(4*x)+1))/(x^4+x^3+x^2+x+1)^4))))+(-(-(21/40000/(x+1)^3)))+(-(-(7049/100000/(x-1)^3)))+(-(1/80000/(x+1)^4))+(-(147/20000/(x-1)^4))+(-(41/100000/(x-1)^5)))))))+(1/(x-1)^5)+(2/(x-1)^6)+(1/(x-1)^8))
A257850 = (((4/5)*differential((A001318+(-((-(1/16/(x-1)))+(-(1/8/(x+1)^2))+(-(3/4/(x-1)^2))+(-(3/4/(x-1)^3)))))))+(((1/5)*((15*x^3)+(4*x^2)+(8*x)+9))/((((x^4-x^3)+x^2)-x)+1))+(-(-(((1/5)*((11*x^3)+(16*x^2)+(15*x)+8))/(x^4+x^3+x^2+x+1))))+(-(-(((1/2)*((2*x^3)+(2*x^2)+x))/(x^4+x^3+x^2+x+1)^2)))+(-(-(((1/2)*(((2*x^2)-x)+2))/((((x^4-x^3)+x^2)-x)+1)^2)))+(-(1/2/(x+1)))+(-(33/10/(x-1)))+(9/20/(x-1)^2))
A257890 = ((16*differential((A001318+(-((1/16/(x+1))+(-(1/8/(x+1)^2))+(-(3/4/(x-1)^2))+(-(3/4/(x-1)^3)))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257850 = (((2/5)*(A001318+(-((1/16/(x+1))+(-(1/16/(x-1)))+(-(3/4/(x-1)^2))+(-(3/4/(x-1)^3))))))+(((1/5)*((15*x^3)+(4*x^2)+(8*x)+9))/((((x^4-x^3)+x^2)-x)+1))+(-(-(((1/5)*((11*x^3)+(16*x^2)+(15*x)+8))/(x^4+x^3+x^2+x+1))))+(-(-(((1/2)*((2*x^3)+(2*x^2)+x))/(x^4+x^3+x^2+x+1)^2)))+(-(-(((1/2)*(((2*x^2)-x)+2))/((((x^4-x^3)+x^2)-x)+1)^2)))+(-(1/2/(x+1)))+(-(33/10/(x-1)))+(9/20/(x-1)^2))
A257171 = (((-(1/2))*differential((A001318+(-((1/16/(x+1))+(-(1/16/(x-1)))+(-(3/4/(x-1)^2))+(-(3/4/(x-1)^3)))))))+(2*x)+(-(-(3/8/(x+1))))+(-(-(3/8/(x-1))))+(-(3/4/(x-1)^2))+(-(3/8/(x-1)^3))+(-(3/4/(x-1)^4))+(-1))
A257890 = (((-(4/3))*(A001318+(-((1/16/(x+1))+(-(1/16/(x-1)))+(-(1/8/(x+1)^2))+(-(3/4/(x-1)^3))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257464 = (((-(7/36))*differential((A001318+(-((1/16/(x+1))+(-(1/16/(x-1)))+(-(1/8/(x+1)^2))+(-(3/4/(x-1)^3)))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257464 = (((7/18)*(A001318+(-((1/16/(x+1))+(-(1/16/(x-1)))+(-(1/8/(x+1)^2))+(-(3/4/(x-1)^2))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257890 = (((8/3)*integrate((A001318+(-((1/16/(x+1))+(-(1/16/(x-1)))+(-(1/8/(x+1)^2))+(-(3/4/(x-1)^2)))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257890 = (((4/9)*differential((A001318+(-((1/16/(x+1))+(-(1/16/(x-1)))+(-(1/8/(x+1)^2))+(-(3/4/(x-1)^2)))))))+(1/(x-1)^2)+(1/(x-1)^6))
A245926 = ((-((sqrt(2)*sqrt((-((x-sqrt(((x^2-(14*x))+1))-1)/((x^2-(14*x))+1)))))/((sqrt(2)*log((((x-sqrt(2))+1)/(x+sqrt(2)+1))))-log(((x^2+(2*x))-1)))))*integrate(A001333))
A257850 = (((-(800000/622627))*differential((A001343+(-((((1/40)*x^15)/((((x^20-x^15)+x^10)-x^5)+1)^2)+(-(-(-(-(-(-(-(-(-(((1/20)*(((3*x^35)+(3*x^30))-(3*x^25)-(3*x^20)-(4*x^5)-4))/((((x^40-x^30)+x^20)-x^10)+1)))))))))))+(-(-(-(-(-(-(-(-(-(((1/200)*((((35*x^15)-(14*x^10))+(18*x^5))-14))/((((x^20-x^15)+x^10)-x^5)+1)))))))))))+(-(-(-(-(-(-(-(-(-(((1/1000)*((11*x^15)+(92*x^10)+(88*x^5)+84))/(x^20+x^15+x^10+x^5+1)))))))))))+(-(-(-(-(-(-(-(-(-(((1/8000)*(((((89*x^7)+(93*x^6))-(176*x^5)-(184*x^4)-(164*x^3))+(273*x^2)+(81*x))-360))/((((x^8-x^6)+x^4)-x^2)+1)))))))))))+(-(-(-(-(-(-(-(-(((1/80000000)*((13327679*x^3)+(25435958*x^2)+(36381677*x)+46220236))/(x^4+x^3+x^2+x+1))))))))))+(-(-(-(-(-(-(-(-(((1/16000000)*((((622627*x^3)-(1216488*x^2))+(1782307*x))-2320800))/((((x^4-x^3)+x^2)-x)+1))))))))))+(-(-(-(-(-(-(-(((1/8000)*((89*x)+93))/(x^2+1)))))))))+(-(-(-(-(-(-(-(((1/200)*((3*x^15)+(6*x^10)+(4*x^5)+2))/(x^20+x^15+x^10+x^5+1)^2))))))))+(-(-(-(-(-(-(-(((1/800)*(((((2*x^6)+x^5)-(3*x^4)-(3*x^3))+(3*x^2)+x)-2))/((((x^8-x^6)+x^4)-x^2)+1)^2))))))))+(-(-(-(-(-(-(((1/10000000)*((1384842*x^3)+(2076819*x^2)+(2109676*x)+1516278))/(x^4+x^3+x^2+x+1)^2)))))))+(-(-(-(-(-(-(((1/1600000)*((((27330*x^3)-(40993*x^2))+(41343*x))-28730))/((((x^4-x^3)+x^2)-x)+1)^2)))))))+(-(-(-(-(-(((1/4000)*(x+1))/(x^2+1)^2))))))+(-(-(-(-(-(13327679/80000000/(x-1)))))))+(-(-(-(-(((1/2000000)*((65724*x^3)+(67448*x^2)+(37177*x)+6056))/(x^4+x^3+x^2+x+1)^3)))))+(-(-(-(-(((1/160000)*((((350*x^3)-(354*x^2))+(185*x))-14))/((((x^4-x^3)+x^2)-x)+1)^3)))))+(-(-(-(14383/8000000/(x+1)^2))))+(-(-(-(6097/400000/(x-1)^2))))+(-(-(-(((1/100000)*(((219*x^3)+(13*x^2))-(198*x)-204))/(x^4+x^3+x^2+x+1)^4))))+(-(-(-(((1/16000)*((x^3-x)+1))/((((x^4-x^3)+x^2)-x)+1)^4))))+(-(-(181/4000000/(x+1)^3)))+(-(-(1421/2000000/(x-1)^3)))+(-(-(((1/40000)*(x^3+(7*x^2)+(8*x)+4))/(x^4+x^3+x^2+x+1)^5)))+(-(1/2000000/(x+1)^4))+(-(9/500000/(x-1)^4))+(-(1/5000000/(x-1)^5)))))))+(((1/5)*((15*x^3)+(4*x^2)+(8*x)+9))/((((x^4-x^3)+x^2)-x)+1))+(-(-(((1/5)*((11*x^3)+(16*x^2)+(15*x)+8))/(x^4+x^3+x^2+x+1))))+(-(-(((1/2)*((2*x^3)+(2*x^2)+x))/(x^4+x^3+x^2+x+1)^2)))+(-(-(((1/2)*(((2*x^2)-x)+2))/((((x^4-x^3)+x^2)-x)+1)^2)))+(-(1/2/(x+1)))+(-(33/10/(x-1)))+(9/20/(x-1)^2))
A257890 = (((80000000/13327679)*differential((A001343+(-((((1/40)*x^15)/((((x^20-x^15)+x^10)-x^5)+1)^2)+(-(-(-(-(-(-(-(-(-(((1/20)*(((3*x^35)+(3*x^30))-(3*x^25)-(3*x^20)-(4*x^5)-4))/((((x^40-x^30)+x^20)-x^10)+1)))))))))))+(-(-(-(-(-(-(-(-(-(((1/200)*((((35*x^15)-(14*x^10))+(18*x^5))-14))/((((x^20-x^15)+x^10)-x^5)+1)))))))))))+(-(-(-(-(-(-(-(-(-(((1/1000)*((11*x^15)+(92*x^10)+(88*x^5)+84))/(x^20+x^15+x^10+x^5+1)))))))))))+(-(-(-(-(-(-(-(-(-(((1/8000)*(((((89*x^7)+(93*x^6))-(176*x^5)-(184*x^4)-(164*x^3))+(273*x^2)+(81*x))-360))/((((x^8-x^6)+x^4)-x^2)+1)))))))))))+(-(-(-(-(-(-(-(-(((1/80000000)*((13327679*x^3)+(25435958*x^2)+(36381677*x)+46220236))/(x^4+x^3+x^2+x+1))))))))))+(-(-(-(-(-(-(-(-(((1/16000000)*((((622627*x^3)-(1216488*x^2))+(1782307*x))-2320800))/((((x^4-x^3)+x^2)-x)+1))))))))))+(-(-(-(-(-(-(-(((1/8000)*((89*x)+93))/(x^2+1)))))))))+(-(-(-(-(-(-(-(((1/200)*((3*x^15)+(6*x^10)+(4*x^5)+2))/(x^20+x^15+x^10+x^5+1)^2))))))))+(-(-(-(-(-(-(-(((1/800)*(((((2*x^6)+x^5)-(3*x^4)-(3*x^3))+(3*x^2)+x)-2))/((((x^8-x^6)+x^4)-x^2)+1)^2))))))))+(-(-(-(-(-(-(((1/10000000)*((1384842*x^3)+(2076819*x^2)+(2109676*x)+1516278))/(x^4+x^3+x^2+x+1)^2)))))))+(-(-(-(-(-(-(((1/1600000)*((((27330*x^3)-(40993*x^2))+(41343*x))-28730))/((((x^4-x^3)+x^2)-x)+1)^2)))))))+(-(-(-(-(-(622627/16000000/(x+1)))))))+(-(-(-(-(-(((1/4000)*(x+1))/(x^2+1)^2))))))+(-(-(-(-(((1/2000000)*((65724*x^3)+(67448*x^2)+(37177*x)+6056))/(x^4+x^3+x^2+x+1)^3)))))+(-(-(-(-(((1/160000)*((((350*x^3)-(354*x^2))+(185*x))-14))/((((x^4-x^3)+x^2)-x)+1)^3)))))+(-(-(-(14383/8000000/(x+1)^2))))+(-(-(-(6097/400000/(x-1)^2))))+(-(-(-(((1/100000)*(((219*x^3)+(13*x^2))-(198*x)-204))/(x^4+x^3+x^2+x+1)^4))))+(-(-(-(((1/16000)*((x^3-x)+1))/((((x^4-x^3)+x^2)-x)+1)^4))))+(-(-(181/4000000/(x+1)^3)))+(-(-(1421/2000000/(x-1)^3)))+(-(-(((1/40000)*(x^3+(7*x^2)+(8*x)+4))/(x^4+x^3+x^2+x+1)^5)))+(-(1/2000000/(x+1)^4))+(-(9/500000/(x-1)^4))+(-(1/5000000/(x-1)^5)))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257850 = (((400000/14383)*(A001343+(-((((1/40)*x^15)/((((x^20-x^15)+x^10)-x^5)+1)^2)+(-(-(-(-(-(-(-(-(-(((1/20)*(((3*x^35)+(3*x^30))-(3*x^25)-(3*x^20)-(4*x^5)-4))/((((x^40-x^30)+x^20)-x^10)+1)))))))))))+(-(-(-(-(-(-(-(-(-(((1/200)*((((35*x^15)-(14*x^10))+(18*x^5))-14))/((((x^20-x^15)+x^10)-x^5)+1)))))))))))+(-(-(-(-(-(-(-(-(-(((1/1000)*((11*x^15)+(92*x^10)+(88*x^5)+84))/(x^20+x^15+x^10+x^5+1)))))))))))+(-(-(-(-(-(-(-(-(-(((1/8000)*(((((89*x^7)+(93*x^6))-(176*x^5)-(184*x^4)-(164*x^3))+(273*x^2)+(81*x))-360))/((((x^8-x^6)+x^4)-x^2)+1)))))))))))+(-(-(-(-(-(-(-(-(((1/80000000)*((13327679*x^3)+(25435958*x^2)+(36381677*x)+46220236))/(x^4+x^3+x^2+x+1))))))))))+(-(-(-(-(-(-(-(-(((1/16000000)*((((622627*x^3)-(1216488*x^2))+(1782307*x))-2320800))/((((x^4-x^3)+x^2)-x)+1))))))))))+(-(-(-(-(-(-(-(((1/8000)*((89*x)+93))/(x^2+1)))))))))+(-(-(-(-(-(-(-(((1/200)*((3*x^15)+(6*x^10)+(4*x^5)+2))/(x^20+x^15+x^10+x^5+1)^2))))))))+(-(-(-(-(-(-(-(((1/800)*(((((2*x^6)+x^5)-(3*x^4)-(3*x^3))+(3*x^2)+x)-2))/((((x^8-x^6)+x^4)-x^2)+1)^2))))))))+(-(-(-(-(-(-(((1/10000000)*((1384842*x^3)+(2076819*x^2)+(2109676*x)+1516278))/(x^4+x^3+x^2+x+1)^2)))))))+(-(-(-(-(-(-(((1/1600000)*((((27330*x^3)-(40993*x^2))+(41343*x))-28730))/((((x^4-x^3)+x^2)-x)+1)^2)))))))+(-(-(-(-(-(622627/16000000/(x+1)))))))+(-(-(-(-(-(((1/4000)*(x+1))/(x^2+1)^2))))))+(-(-(-(-(-(13327679/80000000/(x-1)))))))+(-(-(-(-(((1/2000000)*((65724*x^3)+(67448*x^2)+(37177*x)+6056))/(x^4+x^3+x^2+x+1)^3)))))+(-(-(-(-(((1/160000)*((((350*x^3)-(354*x^2))+(185*x))-14))/((((x^4-x^3)+x^2)-x)+1)^3)))))+(-(-(-(6097/400000/(x-1)^2))))+(-(-(-(((1/100000)*(((219*x^3)+(13*x^2))-(198*x)-204))/(x^4+x^3+x^2+x+1)^4))))+(-(-(-(((1/16000)*((x^3-x)+1))/((((x^4-x^3)+x^2)-x)+1)^4))))+(-(-(181/4000000/(x+1)^3)))+(-(-(1421/2000000/(x-1)^3)))+(-(-(((1/40000)*(x^3+(7*x^2)+(8*x)+4))/(x^4+x^3+x^2+x+1)^5)))+(-(1/2000000/(x+1)^4))+(-(9/500000/(x-1)^4))+(-(1/5000000/(x-1)^5))))))+(((1/5)*((15*x^3)+(4*x^2)+(8*x)+9))/((((x^4-x^3)+x^2)-x)+1))+(-(-(((1/5)*((11*x^3)+(16*x^2)+(15*x)+8))/(x^4+x^3+x^2+x+1))))+(-(-(((1/2)*((2*x^3)+(2*x^2)+x))/(x^4+x^3+x^2+x+1)^2)))+(-(-(((1/2)*(((2*x^2)-x)+2))/((((x^4-x^3)+x^2)-x)+1)^2)))+(-(1/2/(x+1)))+(-(33/10/(x-1)))+(9/20/(x-1)^2))
A257171 = (((-(500000/14383))*differential((A001343+(-((((1/40)*x^15)/((((x^20-x^15)+x^10)-x^5)+1)^2)+(-(-(-(-(-(-(-(-(-(((1/20)*(((3*x^35)+(3*x^30))-(3*x^25)-(3*x^20)-(4*x^5)-4))/((((x^40-x^30)+x^20)-x^10)+1)))))))))))+(-(-(-(-(-(-(-(-(-(((1/200)*((((35*x^15)-(14*x^10))+(18*x^5))-14))/((((x^20-x^15)+x^10)-x^5)+1)))))))))))+(-(-(-(-(-(-(-(-(-(((1/1000)*((11*x^15)+(92*x^10)+(88*x^5)+84))/(x^20+x^15+x^10+x^5+1)))))))))))+(-(-(-(-(-(-(-(-(-(((1/8000)*(((((89*x^7)+(93*x^6))-(176*x^5)-(184*x^4)-(164*x^3))+(273*x^2)+(81*x))-360))/((((x^8-x^6)+x^4)-x^2)+1)))))))))))+(-(-(-(-(-(-(-(-(((1/80000000)*((13327679*x^3)+(25435958*x^2)+(36381677*x)+46220236))/(x^4+x^3+x^2+x+1))))))))))+(-(-(-(-(-(-(-(-(((1/16000000)*((((622627*x^3)-(1216488*x^2))+(1782307*x))-2320800))/((((x^4-x^3)+x^2)-x)+1))))))))))+(-(-(-(-(-(-(-(((1/8000)*((89*x)+93))/(x^2+1)))))))))+(-(-(-(-(-(-(-(((1/200)*((3*x^15)+(6*x^10)+(4*x^5)+2))/(x^20+x^15+x^10+x^5+1)^2))))))))+(-(-(-(-(-(-(-(((1/800)*(((((2*x^6)+x^5)-(3*x^4)-(3*x^3))+(3*x^2)+x)-2))/((((x^8-x^6)+x^4)-x^2)+1)^2))))))))+(-(-(-(-(-(-(((1/10000000)*((1384842*x^3)+(2076819*x^2)+(2109676*x)+1516278))/(x^4+x^3+x^2+x+1)^2)))))))+(-(-(-(-(-(-(((1/1600000)*((((27330*x^3)-(40993*x^2))+(41343*x))-28730))/((((x^4-x^3)+x^2)-x)+1)^2)))))))+(-(-(-(-(-(622627/16000000/(x+1)))))))+(-(-(-(-(-(((1/4000)*(x+1))/(x^2+1)^2))))))+(-(-(-(-(-(13327679/80000000/(x-1)))))))+(-(-(-(-(((1/2000000)*((65724*x^3)+(67448*x^2)+(37177*x)+6056))/(x^4+x^3+x^2+x+1)^3)))))+(-(-(-(-(((1/160000)*((((350*x^3)-(354*x^2))+(185*x))-14))/((((x^4-x^3)+x^2)-x)+1)^3)))))+(-(-(-(6097/400000/(x-1)^2))))+(-(-(-(((1/100000)*(((219*x^3)+(13*x^2))-(198*x)-204))/(x^4+x^3+x^2+x+1)^4))))+(-(-(-(((1/16000)*((x^3-x)+1))/((((x^4-x^3)+x^2)-x)+1)^4))))+(-(-(181/4000000/(x+1)^3)))+(-(-(1421/2000000/(x-1)^3)))+(-(-(((1/40000)*(x^3+(7*x^2)+(8*x)+4))/(x^4+x^3+x^2+x+1)^5)))+(-(1/2000000/(x+1)^4))+(-(9/500000/(x-1)^4))+(-(1/5000000/(x-1)^5)))))))+(2*x)+(-(-(3/8/(x+1))))+(-(-(3/8/(x-1))))+(-(3/4/(x-1)^2))+(-(3/8/(x-1)^3))+(-(3/4/(x-1)^4))+(-1))
A257890 = (((-(400000/6097))*(A001343+(-((((1/40)*x^15)/((((x^20-x^15)+x^10)-x^5)+1)^2)+(-(-(-(-(-(-(-(-(-(((1/20)*(((3*x^35)+(3*x^30))-(3*x^25)-(3*x^20)-(4*x^5)-4))/((((x^40-x^30)+x^20)-x^10)+1)))))))))))+(-(-(-(-(-(-(-(-(-(((1/200)*((((35*x^15)-(14*x^10))+(18*x^5))-14))/((((x^20-x^15)+x^10)-x^5)+1)))))))))))+(-(-(-(-(-(-(-(-(-(((1/1000)*((11*x^15)+(92*x^10)+(88*x^5)+84))/(x^20+x^15+x^10+x^5+1)))))))))))+(-(-(-(-(-(-(-(-(-(((1/8000)*(((((89*x^7)+(93*x^6))-(176*x^5)-(184*x^4)-(164*x^3))+(273*x^2)+(81*x))-360))/((((x^8-x^6)+x^4)-x^2)+1)))))))))))+(-(-(-(-(-(-(-(-(((1/80000000)*((13327679*x^3)+(25435958*x^2)+(36381677*x)+46220236))/(x^4+x^3+x^2+x+1))))))))))+(-(-(-(-(-(-(-(-(((1/16000000)*((((622627*x^3)-(1216488*x^2))+(1782307*x))-2320800))/((((x^4-x^3)+x^2)-x)+1))))))))))+(-(-(-(-(-(-(-(((1/8000)*((89*x)+93))/(x^2+1)))))))))+(-(-(-(-(-(-(-(((1/200)*((3*x^15)+(6*x^10)+(4*x^5)+2))/(x^20+x^15+x^10+x^5+1)^2))))))))+(-(-(-(-(-(-(-(((1/800)*(((((2*x^6)+x^5)-(3*x^4)-(3*x^3))+(3*x^2)+x)-2))/((((x^8-x^6)+x^4)-x^2)+1)^2))))))))+(-(-(-(-(-(-(((1/10000000)*((1384842*x^3)+(2076819*x^2)+(2109676*x)+1516278))/(x^4+x^3+x^2+x+1)^2)))))))+(-(-(-(-(-(-(((1/1600000)*((((27330*x^3)-(40993*x^2))+(41343*x))-28730))/((((x^4-x^3)+x^2)-x)+1)^2)))))))+(-(-(-(-(-(622627/16000000/(x+1)))))))+(-(-(-(-(-(((1/4000)*(x+1))/(x^2+1)^2))))))+(-(-(-(-(-(13327679/80000000/(x-1)))))))+(-(-(-(-(((1/2000000)*((65724*x^3)+(67448*x^2)+(37177*x)+6056))/(x^4+x^3+x^2+x+1)^3)))))+(-(-(-(-(((1/160000)*((((350*x^3)-(354*x^2))+(185*x))-14))/((((x^4-x^3)+x^2)-x)+1)^3)))))+(-(-(-(14383/8000000/(x+1)^2))))+(-(-(-(((1/100000)*(((219*x^3)+(13*x^2))-(198*x)-204))/(x^4+x^3+x^2+x+1)^4))))+(-(-(-(((1/16000)*((x^3-x)+1))/((((x^4-x^3)+x^2)-x)+1)^4))))+(-(-(181/4000000/(x+1)^3)))+(-(-(1421/2000000/(x-1)^3)))+(-(-(((1/40000)*(x^3+(7*x^2)+(8*x)+4))/(x^4+x^3+x^2+x+1)^5)))+(-(1/2000000/(x+1)^4))+(-(9/500000/(x-1)^4))+(-(1/5000000/(x-1)^5))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257464 = (((-(25000/2613))*differential((A001343+(-((((1/40)*x^15)/((((x^20-x^15)+x^10)-x^5)+1)^2)+(-(-(-(-(-(-(-(-(-(((1/20)*(((3*x^35)+(3*x^30))-(3*x^25)-(3*x^20)-(4*x^5)-4))/((((x^40-x^30)+x^20)-x^10)+1)))))))))))+(-(-(-(-(-(-(-(-(-(((1/200)*((((35*x^15)-(14*x^10))+(18*x^5))-14))/((((x^20-x^15)+x^10)-x^5)+1)))))))))))+(-(-(-(-(-(-(-(-(-(((1/1000)*((11*x^15)+(92*x^10)+(88*x^5)+84))/(x^20+x^15+x^10+x^5+1)))))))))))+(-(-(-(-(-(-(-(-(-(((1/8000)*(((((89*x^7)+(93*x^6))-(176*x^5)-(184*x^4)-(164*x^3))+(273*x^2)+(81*x))-360))/((((x^8-x^6)+x^4)-x^2)+1)))))))))))+(-(-(-(-(-(-(-(-(((1/80000000)*((13327679*x^3)+(25435958*x^2)+(36381677*x)+46220236))/(x^4+x^3+x^2+x+1))))))))))+(-(-(-(-(-(-(-(-(((1/16000000)*((((622627*x^3)-(1216488*x^2))+(1782307*x))-2320800))/((((x^4-x^3)+x^2)-x)+1))))))))))+(-(-(-(-(-(-(-(((1/8000)*((89*x)+93))/(x^2+1)))))))))+(-(-(-(-(-(-(-(((1/200)*((3*x^15)+(6*x^10)+(4*x^5)+2))/(x^20+x^15+x^10+x^5+1)^2))))))))+(-(-(-(-(-(-(-(((1/800)*(((((2*x^6)+x^5)-(3*x^4)-(3*x^3))+(3*x^2)+x)-2))/((((x^8-x^6)+x^4)-x^2)+1)^2))))))))+(-(-(-(-(-(-(((1/10000000)*((1384842*x^3)+(2076819*x^2)+(2109676*x)+1516278))/(x^4+x^3+x^2+x+1)^2)))))))+(-(-(-(-(-(-(((1/1600000)*((((27330*x^3)-(40993*x^2))+(41343*x))-28730))/((((x^4-x^3)+x^2)-x)+1)^2)))))))+(-(-(-(-(-(622627/16000000/(x+1)))))))+(-(-(-(-(-(((1/4000)*(x+1))/(x^2+1)^2))))))+(-(-(-(-(-(13327679/80000000/(x-1)))))))+(-(-(-(-(((1/2000000)*((65724*x^3)+(67448*x^2)+(37177*x)+6056))/(x^4+x^3+x^2+x+1)^3)))))+(-(-(-(-(((1/160000)*((((350*x^3)-(354*x^2))+(185*x))-14))/((((x^4-x^3)+x^2)-x)+1)^3)))))+(-(-(-(14383/8000000/(x+1)^2))))+(-(-(-(((1/100000)*(((219*x^3)+(13*x^2))-(198*x)-204))/(x^4+x^3+x^2+x+1)^4))))+(-(-(-(((1/16000)*((x^3-x)+1))/((((x^4-x^3)+x^2)-x)+1)^4))))+(-(-(181/4000000/(x+1)^3)))+(-(-(1421/2000000/(x-1)^3)))+(-(-(((1/40000)*(x^3+(7*x^2)+(8*x)+4))/(x^4+x^3+x^2+x+1)^5)))+(-(1/2000000/(x+1)^4))+(-(9/500000/(x-1)^4))+(-(1/5000000/(x-1)^5)))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257171 = (((-(500000/181))*(A001343+(-((((1/40)*x^15)/((((x^20-x^15)+x^10)-x^5)+1)^2)+(-(-(-(-(-(-(-(-(-(((1/20)*(((3*x^35)+(3*x^30))-(3*x^25)-(3*x^20)-(4*x^5)-4))/((((x^40-x^30)+x^20)-x^10)+1)))))))))))+(-(-(-(-(-(-(-(-(-(((1/200)*((((35*x^15)-(14*x^10))+(18*x^5))-14))/((((x^20-x^15)+x^10)-x^5)+1)))))))))))+(-(-(-(-(-(-(-(-(-(((1/1000)*((11*x^15)+(92*x^10)+(88*x^5)+84))/(x^20+x^15+x^10+x^5+1)))))))))))+(-(-(-(-(-(-(-(-(-(((1/8000)*(((((89*x^7)+(93*x^6))-(176*x^5)-(184*x^4)-(164*x^3))+(273*x^2)+(81*x))-360))/((((x^8-x^6)+x^4)-x^2)+1)))))))))))+(-(-(-(-(-(-(-(-(((1/80000000)*((13327679*x^3)+(25435958*x^2)+(36381677*x)+46220236))/(x^4+x^3+x^2+x+1))))))))))+(-(-(-(-(-(-(-(-(((1/16000000)*((((622627*x^3)-(1216488*x^2))+(1782307*x))-2320800))/((((x^4-x^3)+x^2)-x)+1))))))))))+(-(-(-(-(-(-(-(((1/8000)*((89*x)+93))/(x^2+1)))))))))+(-(-(-(-(-(-(-(((1/200)*((3*x^15)+(6*x^10)+(4*x^5)+2))/(x^20+x^15+x^10+x^5+1)^2))))))))+(-(-(-(-(-(-(-(((1/800)*(((((2*x^6)+x^5)-(3*x^4)-(3*x^3))+(3*x^2)+x)-2))/((((x^8-x^6)+x^4)-x^2)+1)^2))))))))+(-(-(-(-(-(-(((1/10000000)*((1384842*x^3)+(2076819*x^2)+(2109676*x)+1516278))/(x^4+x^3+x^2+x+1)^2)))))))+(-(-(-(-(-(-(((1/1600000)*((((27330*x^3)-(40993*x^2))+(41343*x))-28730))/((((x^4-x^3)+x^2)-x)+1)^2)))))))+(-(-(-(-(-(622627/16000000/(x+1)))))))+(-(-(-(-(-(((1/4000)*(x+1))/(x^2+1)^2))))))+(-(-(-(-(-(13327679/80000000/(x-1)))))))+(-(-(-(-(((1/2000000)*((65724*x^3)+(67448*x^2)+(37177*x)+6056))/(x^4+x^3+x^2+x+1)^3)))))+(-(-(-(-(((1/160000)*((((350*x^3)-(354*x^2))+(185*x))-14))/((((x^4-x^3)+x^2)-x)+1)^3)))))+(-(-(-(14383/8000000/(x+1)^2))))+(-(-(-(6097/400000/(x-1)^2))))+(-(-(-(((1/100000)*(((219*x^3)+(13*x^2))-(198*x)-204))/(x^4+x^3+x^2+x+1)^4))))+(-(-(-(((1/16000)*((x^3-x)+1))/((((x^4-x^3)+x^2)-x)+1)^4))))+(-(-(1421/2000000/(x-1)^3)))+(-(-(((1/40000)*(x^3+(7*x^2)+(8*x)+4))/(x^4+x^3+x^2+x+1)^5)))+(-(1/2000000/(x+1)^4))+(-(9/500000/(x-1)^4))+(-(1/5000000/(x-1)^5))))))+(2*x)+(-(-(3/8/(x+1))))+(-(-(3/8/(x-1))))+(-(3/4/(x-1)^2))+(-(3/8/(x-1)^3))+(-(3/4/(x-1)^4))+(-1))
A257850 = (((400000/181)*integrate((A001343+(-((((1/40)*x^15)/((((x^20-x^15)+x^10)-x^5)+1)^2)+(-(-(-(-(-(-(-(-(-(((1/20)*(((3*x^35)+(3*x^30))-(3*x^25)-(3*x^20)-(4*x^5)-4))/((((x^40-x^30)+x^20)-x^10)+1)))))))))))+(-(-(-(-(-(-(-(-(-(((1/200)*((((35*x^15)-(14*x^10))+(18*x^5))-14))/((((x^20-x^15)+x^10)-x^5)+1)))))))))))+(-(-(-(-(-(-(-(-(-(((1/1000)*((11*x^15)+(92*x^10)+(88*x^5)+84))/(x^20+x^15+x^10+x^5+1)))))))))))+(-(-(-(-(-(-(-(-(-(((1/8000)*(((((89*x^7)+(93*x^6))-(176*x^5)-(184*x^4)-(164*x^3))+(273*x^2)+(81*x))-360))/((((x^8-x^6)+x^4)-x^2)+1)))))))))))+(-(-(-(-(-(-(-(-(((1/80000000)*((13327679*x^3)+(25435958*x^2)+(36381677*x)+46220236))/(x^4+x^3+x^2+x+1))))))))))+(-(-(-(-(-(-(-(-(((1/16000000)*((((622627*x^3)-(1216488*x^2))+(1782307*x))-2320800))/((((x^4-x^3)+x^2)-x)+1))))))))))+(-(-(-(-(-(-(-(((1/8000)*((89*x)+93))/(x^2+1)))))))))+(-(-(-(-(-(-(-(((1/200)*((3*x^15)+(6*x^10)+(4*x^5)+2))/(x^20+x^15+x^10+x^5+1)^2))))))))+(-(-(-(-(-(-(-(((1/800)*(((((2*x^6)+x^5)-(3*x^4)-(3*x^3))+(3*x^2)+x)-2))/((((x^8-x^6)+x^4)-x^2)+1)^2))))))))+(-(-(-(-(-(-(((1/10000000)*((1384842*x^3)+(2076819*x^2)+(2109676*x)+1516278))/(x^4+x^3+x^2+x+1)^2)))))))+(-(-(-(-(-(-(((1/1600000)*((((27330*x^3)-(40993*x^2))+(41343*x))-28730))/((((x^4-x^3)+x^2)-x)+1)^2)))))))+(-(-(-(-(-(622627/16000000/(x+1)))))))+(-(-(-(-(-(((1/4000)*(x+1))/(x^2+1)^2))))))+(-(-(-(-(-(13327679/80000000/(x-1)))))))+(-(-(-(-(((1/2000000)*((65724*x^3)+(67448*x^2)+(37177*x)+6056))/(x^4+x^3+x^2+x+1)^3)))))+(-(-(-(-(((1/160000)*((((350*x^3)-(354*x^2))+(185*x))-14))/((((x^4-x^3)+x^2)-x)+1)^3)))))+(-(-(-(14383/8000000/(x+1)^2))))+(-(-(-(6097/400000/(x-1)^2))))+(-(-(-(((1/100000)*(((219*x^3)+(13*x^2))-(198*x)-204))/(x^4+x^3+x^2+x+1)^4))))+(-(-(-(((1/16000)*((x^3-x)+1))/((((x^4-x^3)+x^2)-x)+1)^4))))+(-(-(1421/2000000/(x-1)^3)))+(-(-(((1/40000)*(x^3+(7*x^2)+(8*x)+4))/(x^4+x^3+x^2+x+1)^5)))+(-(1/2000000/(x+1)^4))+(-(9/500000/(x-1)^4))+(-(1/5000000/(x-1)^5)))))))+(((1/5)*((15*x^3)+(4*x^2)+(8*x)+9))/((((x^4-x^3)+x^2)-x)+1))+(-(-(((1/5)*((11*x^3)+(16*x^2)+(15*x)+8))/(x^4+x^3+x^2+x+1))))+(-(-(((1/2)*((2*x^3)+(2*x^2)+x))/(x^4+x^3+x^2+x+1)^2)))+(-(-(((1/2)*(((2*x^2)-x)+2))/((((x^4-x^3)+x^2)-x)+1)^2)))+(-(1/2/(x+1)))+(-(33/10/(x-1)))+(9/20/(x-1)^2))
A254233 = (((-(31250/543))*differential((A001343+(-((((1/40)*x^15)/((((x^20-x^15)+x^10)-x^5)+1)^2)+(-(-(-(-(-(-(-(-(-(((1/20)*(((3*x^35)+(3*x^30))-(3*x^25)-(3*x^20)-(4*x^5)-4))/((((x^40-x^30)+x^20)-x^10)+1)))))))))))+(-(-(-(-(-(-(-(-(-(((1/200)*((((35*x^15)-(14*x^10))+(18*x^5))-14))/((((x^20-x^15)+x^10)-x^5)+1)))))))))))+(-(-(-(-(-(-(-(-(-(((1/1000)*((11*x^15)+(92*x^10)+(88*x^5)+84))/(x^20+x^15+x^10+x^5+1)))))))))))+(-(-(-(-(-(-(-(-(-(((1/8000)*(((((89*x^7)+(93*x^6))-(176*x^5)-(184*x^4)-(164*x^3))+(273*x^2)+(81*x))-360))/((((x^8-x^6)+x^4)-x^2)+1)))))))))))+(-(-(-(-(-(-(-(-(((1/80000000)*((13327679*x^3)+(25435958*x^2)+(36381677*x)+46220236))/(x^4+x^3+x^2+x+1))))))))))+(-(-(-(-(-(-(-(-(((1/16000000)*((((622627*x^3)-(1216488*x^2))+(1782307*x))-2320800))/((((x^4-x^3)+x^2)-x)+1))))))))))+(-(-(-(-(-(-(-(((1/8000)*((89*x)+93))/(x^2+1)))))))))+(-(-(-(-(-(-(-(((1/200)*((3*x^15)+(6*x^10)+(4*x^5)+2))/(x^20+x^15+x^10+x^5+1)^2))))))))+(-(-(-(-(-(-(-(((1/800)*(((((2*x^6)+x^5)-(3*x^4)-(3*x^3))+(3*x^2)+x)-2))/((((x^8-x^6)+x^4)-x^2)+1)^2))))))))+(-(-(-(-(-(-(((1/10000000)*((1384842*x^3)+(2076819*x^2)+(2109676*x)+1516278))/(x^4+x^3+x^2+x+1)^2)))))))+(-(-(-(-(-(-(((1/1600000)*((((27330*x^3)-(40993*x^2))+(41343*x))-28730))/((((x^4-x^3)+x^2)-x)+1)^2)))))))+(-(-(-(-(-(622627/16000000/(x+1)))))))+(-(-(-(-(-(((1/4000)*(x+1))/(x^2+1)^2))))))+(-(-(-(-(-(13327679/80000000/(x-1)))))))+(-(-(-(-(((1/2000000)*((65724*x^3)+(67448*x^2)+(37177*x)+6056))/(x^4+x^3+x^2+x+1)^3)))))+(-(-(-(-(((1/160000)*((((350*x^3)-(354*x^2))+(185*x))-14))/((((x^4-x^3)+x^2)-x)+1)^3)))))+(-(-(-(14383/8000000/(x+1)^2))))+(-(-(-(6097/400000/(x-1)^2))))+(-(-(-(((1/100000)*(((219*x^3)+(13*x^2))-(198*x)-204))/(x^4+x^3+x^2+x+1)^4))))+(-(-(-(((1/16000)*((x^3-x)+1))/((((x^4-x^3)+x^2)-x)+1)^4))))+(-(-(1421/2000000/(x-1)^3)))+(-(-(((1/40000)*(x^3+(7*x^2)+(8*x)+4))/(x^4+x^3+x^2+x+1)^5)))+(-(1/2000000/(x+1)^4))+(-(9/500000/(x-1)^4))+(-(1/5000000/(x-1)^5)))))))+(((1/972)*((113*x)+137))/(x^2+x+1))+(-(-(-(-(-(((1/12)*(x-1))/((x^2-x)+1)))))))+(-(-(-(-(3/32/(x^2+1))))))+(-(-(-(-(((1/162)*((12*x)+11))/(x^2+x+1)^2)))))+(-(-(-(-(41/384/(x+1))))))+(-(-(-(-(4345/31104/(x-1))))))+(-(-(-(83/1536/(x+1)^2))))+(-(-(-(9205/124416/(x-1)^2))))+(-(-(-(((1/27)*x)/(x^2+x+1)^3))))+(-(-(-(3/128/(x+1)^3))))+(-(-(-(3/64/(x-1)^3))))+(-(-(23/576/(x-1)^4)))+(-(-(5/144/(x-1)^5)))+(-(1/32/(x-1)^6))+(-(1/36/(x-1)^7))+(1/36/(x-1)^8))
A257464 = (((-(250000/609))*(A001343+(-((((1/40)*x^15)/((((x^20-x^15)+x^10)-x^5)+1)^2)+(-(-(-(-(-(-(-(-(-(((1/20)*(((3*x^35)+(3*x^30))-(3*x^25)-(3*x^20)-(4*x^5)-4))/((((x^40-x^30)+x^20)-x^10)+1)))))))))))+(-(-(-(-(-(-(-(-(-(((1/200)*((((35*x^15)-(14*x^10))+(18*x^5))-14))/((((x^20-x^15)+x^10)-x^5)+1)))))))))))+(-(-(-(-(-(-(-(-(-(((1/1000)*((11*x^15)+(92*x^10)+(88*x^5)+84))/(x^20+x^15+x^10+x^5+1)))))))))))+(-(-(-(-(-(-(-(-(-(((1/8000)*(((((89*x^7)+(93*x^6))-(176*x^5)-(184*x^4)-(164*x^3))+(273*x^2)+(81*x))-360))/((((x^8-x^6)+x^4)-x^2)+1)))))))))))+(-(-(-(-(-(-(-(-(((1/80000000)*((13327679*x^3)+(25435958*x^2)+(36381677*x)+46220236))/(x^4+x^3+x^2+x+1))))))))))+(-(-(-(-(-(-(-(-(((1/16000000)*((((622627*x^3)-(1216488*x^2))+(1782307*x))-2320800))/((((x^4-x^3)+x^2)-x)+1))))))))))+(-(-(-(-(-(-(-(((1/8000)*((89*x)+93))/(x^2+1)))))))))+(-(-(-(-(-(-(-(((1/200)*((3*x^15)+(6*x^10)+(4*x^5)+2))/(x^20+x^15+x^10+x^5+1)^2))))))))+(-(-(-(-(-(-(-(((1/800)*(((((2*x^6)+x^5)-(3*x^4)-(3*x^3))+(3*x^2)+x)-2))/((((x^8-x^6)+x^4)-x^2)+1)^2))))))))+(-(-(-(-(-(-(((1/10000000)*((1384842*x^3)+(2076819*x^2)+(2109676*x)+1516278))/(x^4+x^3+x^2+x+1)^2)))))))+(-(-(-(-(-(-(((1/1600000)*((((27330*x^3)-(40993*x^2))+(41343*x))-28730))/((((x^4-x^3)+x^2)-x)+1)^2)))))))+(-(-(-(-(-(622627/16000000/(x+1)))))))+(-(-(-(-(-(((1/4000)*(x+1))/(x^2+1)^2))))))+(-(-(-(-(-(13327679/80000000/(x-1)))))))+(-(-(-(-(((1/2000000)*((65724*x^3)+(67448*x^2)+(37177*x)+6056))/(x^4+x^3+x^2+x+1)^3)))))+(-(-(-(-(((1/160000)*((((350*x^3)-(354*x^2))+(185*x))-14))/((((x^4-x^3)+x^2)-x)+1)^3)))))+(-(-(-(14383/8000000/(x+1)^2))))+(-(-(-(6097/400000/(x-1)^2))))+(-(-(-(((1/100000)*(((219*x^3)+(13*x^2))-(198*x)-204))/(x^4+x^3+x^2+x+1)^4))))+(-(-(-(((1/16000)*((x^3-x)+1))/((((x^4-x^3)+x^2)-x)+1)^4))))+(-(-(181/4000000/(x+1)^3)))+(-(-(((1/40000)*(x^3+(7*x^2)+(8*x)+4))/(x^4+x^3+x^2+x+1)^5)))+(-(1/2000000/(x+1)^4))+(-(9/500000/(x-1)^4))+(-(1/5000000/(x-1)^5))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257890 = (((-(4000000/1421))*integrate((A001343+(-((((1/40)*x^15)/((((x^20-x^15)+x^10)-x^5)+1)^2)+(-(-(-(-(-(-(-(-(-(((1/20)*(((3*x^35)+(3*x^30))-(3*x^25)-(3*x^20)-(4*x^5)-4))/((((x^40-x^30)+x^20)-x^10)+1)))))))))))+(-(-(-(-(-(-(-(-(-(((1/200)*((((35*x^15)-(14*x^10))+(18*x^5))-14))/((((x^20-x^15)+x^10)-x^5)+1)))))))))))+(-(-(-(-(-(-(-(-(-(((1/1000)*((11*x^15)+(92*x^10)+(88*x^5)+84))/(x^20+x^15+x^10+x^5+1)))))))))))+(-(-(-(-(-(-(-(-(-(((1/8000)*(((((89*x^7)+(93*x^6))-(176*x^5)-(184*x^4)-(164*x^3))+(273*x^2)+(81*x))-360))/((((x^8-x^6)+x^4)-x^2)+1)))))))))))+(-(-(-(-(-(-(-(-(((1/80000000)*((13327679*x^3)+(25435958*x^2)+(36381677*x)+46220236))/(x^4+x^3+x^2+x+1))))))))))+(-(-(-(-(-(-(-(-(((1/16000000)*((((622627*x^3)-(1216488*x^2))+(1782307*x))-2320800))/((((x^4-x^3)+x^2)-x)+1))))))))))+(-(-(-(-(-(-(-(((1/8000)*((89*x)+93))/(x^2+1)))))))))+(-(-(-(-(-(-(-(((1/200)*((3*x^15)+(6*x^10)+(4*x^5)+2))/(x^20+x^15+x^10+x^5+1)^2))))))))+(-(-(-(-(-(-(-(((1/800)*(((((2*x^6)+x^5)-(3*x^4)-(3*x^3))+(3*x^2)+x)-2))/((((x^8-x^6)+x^4)-x^2)+1)^2))))))))+(-(-(-(-(-(-(((1/10000000)*((1384842*x^3)+(2076819*x^2)+(2109676*x)+1516278))/(x^4+x^3+x^2+x+1)^2)))))))+(-(-(-(-(-(-(((1/1600000)*((((27330*x^3)-(40993*x^2))+(41343*x))-28730))/((((x^4-x^3)+x^2)-x)+1)^2)))))))+(-(-(-(-(-(622627/16000000/(x+1)))))))+(-(-(-(-(-(((1/4000)*(x+1))/(x^2+1)^2))))))+(-(-(-(-(-(13327679/80000000/(x-1)))))))+(-(-(-(-(((1/2000000)*((65724*x^3)+(67448*x^2)+(37177*x)+6056))/(x^4+x^3+x^2+x+1)^3)))))+(-(-(-(-(((1/160000)*((((350*x^3)-(354*x^2))+(185*x))-14))/((((x^4-x^3)+x^2)-x)+1)^3)))))+(-(-(-(14383/8000000/(x+1)^2))))+(-(-(-(6097/400000/(x-1)^2))))+(-(-(-(((1/100000)*(((219*x^3)+(13*x^2))-(198*x)-204))/(x^4+x^3+x^2+x+1)^4))))+(-(-(-(((1/16000)*((x^3-x)+1))/((((x^4-x^3)+x^2)-x)+1)^4))))+(-(-(181/4000000/(x+1)^3)))+(-(-(((1/40000)*(x^3+(7*x^2)+(8*x)+4))/(x^4+x^3+x^2+x+1)^5)))+(-(1/2000000/(x+1)^4))+(-(9/500000/(x-1)^4))+(-(1/5000000/(x-1)^5)))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257890 = (((-(2000000/4263))*differential((A001343+(-((((1/40)*x^15)/((((x^20-x^15)+x^10)-x^5)+1)^2)+(-(-(-(-(-(-(-(-(-(((1/20)*(((3*x^35)+(3*x^30))-(3*x^25)-(3*x^20)-(4*x^5)-4))/((((x^40-x^30)+x^20)-x^10)+1)))))))))))+(-(-(-(-(-(-(-(-(-(((1/200)*((((35*x^15)-(14*x^10))+(18*x^5))-14))/((((x^20-x^15)+x^10)-x^5)+1)))))))))))+(-(-(-(-(-(-(-(-(-(((1/1000)*((11*x^15)+(92*x^10)+(88*x^5)+84))/(x^20+x^15+x^10+x^5+1)))))))))))+(-(-(-(-(-(-(-(-(-(((1/8000)*(((((89*x^7)+(93*x^6))-(176*x^5)-(184*x^4)-(164*x^3))+(273*x^2)+(81*x))-360))/((((x^8-x^6)+x^4)-x^2)+1)))))))))))+(-(-(-(-(-(-(-(-(((1/80000000)*((13327679*x^3)+(25435958*x^2)+(36381677*x)+46220236))/(x^4+x^3+x^2+x+1))))))))))+(-(-(-(-(-(-(-(-(((1/16000000)*((((622627*x^3)-(1216488*x^2))+(1782307*x))-2320800))/((((x^4-x^3)+x^2)-x)+1))))))))))+(-(-(-(-(-(-(-(((1/8000)*((89*x)+93))/(x^2+1)))))))))+(-(-(-(-(-(-(-(((1/200)*((3*x^15)+(6*x^10)+(4*x^5)+2))/(x^20+x^15+x^10+x^5+1)^2))))))))+(-(-(-(-(-(-(-(((1/800)*(((((2*x^6)+x^5)-(3*x^4)-(3*x^3))+(3*x^2)+x)-2))/((((x^8-x^6)+x^4)-x^2)+1)^2))))))))+(-(-(-(-(-(-(((1/10000000)*((1384842*x^3)+(2076819*x^2)+(2109676*x)+1516278))/(x^4+x^3+x^2+x+1)^2)))))))+(-(-(-(-(-(-(((1/1600000)*((((27330*x^3)-(40993*x^2))+(41343*x))-28730))/((((x^4-x^3)+x^2)-x)+1)^2)))))))+(-(-(-(-(-(622627/16000000/(x+1)))))))+(-(-(-(-(-(((1/4000)*(x+1))/(x^2+1)^2))))))+(-(-(-(-(-(13327679/80000000/(x-1)))))))+(-(-(-(-(((1/2000000)*((65724*x^3)+(67448*x^2)+(37177*x)+6056))/(x^4+x^3+x^2+x+1)^3)))))+(-(-(-(-(((1/160000)*((((350*x^3)-(354*x^2))+(185*x))-14))/((((x^4-x^3)+x^2)-x)+1)^3)))))+(-(-(-(14383/8000000/(x+1)^2))))+(-(-(-(6097/400000/(x-1)^2))))+(-(-(-(((1/100000)*(((219*x^3)+(13*x^2))-(198*x)-204))/(x^4+x^3+x^2+x+1)^4))))+(-(-(-(((1/16000)*((x^3-x)+1))/((((x^4-x^3)+x^2)-x)+1)^4))))+(-(-(181/4000000/(x+1)^3)))+(-(-(((1/40000)*(x^3+(7*x^2)+(8*x)+4))/(x^4+x^3+x^2+x+1)^5)))+(-(1/2000000/(x+1)^4))+(-(9/500000/(x-1)^4))+(-(1/5000000/(x-1)^5)))))))+(1/(x-1)^2)+(1/(x-1)^6))
A254233 = (((-15625)*(A001343+(-((((1/40)*x^15)/((((x^20-x^15)+x^10)-x^5)+1)^2)+(-(-(-(-(-(-(-(-(-(((1/20)*(((3*x^35)+(3*x^30))-(3*x^25)-(3*x^20)-(4*x^5)-4))/((((x^40-x^30)+x^20)-x^10)+1)))))))))))+(-(-(-(-(-(-(-(-(-(((1/200)*((((35*x^15)-(14*x^10))+(18*x^5))-14))/((((x^20-x^15)+x^10)-x^5)+1)))))))))))+(-(-(-(-(-(-(-(-(-(((1/1000)*((11*x^15)+(92*x^10)+(88*x^5)+84))/(x^20+x^15+x^10+x^5+1)))))))))))+(-(-(-(-(-(-(-(-(-(((1/8000)*(((((89*x^7)+(93*x^6))-(176*x^5)-(184*x^4)-(164*x^3))+(273*x^2)+(81*x))-360))/((((x^8-x^6)+x^4)-x^2)+1)))))))))))+(-(-(-(-(-(-(-(-(((1/80000000)*((13327679*x^3)+(25435958*x^2)+(36381677*x)+46220236))/(x^4+x^3+x^2+x+1))))))))))+(-(-(-(-(-(-(-(-(((1/16000000)*((((622627*x^3)-(1216488*x^2))+(1782307*x))-2320800))/((((x^4-x^3)+x^2)-x)+1))))))))))+(-(-(-(-(-(-(-(((1/8000)*((89*x)+93))/(x^2+1)))))))))+(-(-(-(-(-(-(-(((1/200)*((3*x^15)+(6*x^10)+(4*x^5)+2))/(x^20+x^15+x^10+x^5+1)^2))))))))+(-(-(-(-(-(-(-(((1/800)*(((((2*x^6)+x^5)-(3*x^4)-(3*x^3))+(3*x^2)+x)-2))/((((x^8-x^6)+x^4)-x^2)+1)^2))))))))+(-(-(-(-(-(-(((1/10000000)*((1384842*x^3)+(2076819*x^2)+(2109676*x)+1516278))/(x^4+x^3+x^2+x+1)^2)))))))+(-(-(-(-(-(-(((1/1600000)*((((27330*x^3)-(40993*x^2))+(41343*x))-28730))/((((x^4-x^3)+x^2)-x)+1)^2)))))))+(-(-(-(-(-(622627/16000000/(x+1)))))))+(-(-(-(-(-(((1/4000)*(x+1))/(x^2+1)^2))))))+(-(-(-(-(-(13327679/80000000/(x-1)))))))+(-(-(-(-(((1/2000000)*((65724*x^3)+(67448*x^2)+(37177*x)+6056))/(x^4+x^3+x^2+x+1)^3)))))+(-(-(-(-(((1/160000)*((((350*x^3)-(354*x^2))+(185*x))-14))/((((x^4-x^3)+x^2)-x)+1)^3)))))+(-(-(-(14383/8000000/(x+1)^2))))+(-(-(-(6097/400000/(x-1)^2))))+(-(-(-(((1/100000)*(((219*x^3)+(13*x^2))-(198*x)-204))/(x^4+x^3+x^2+x+1)^4))))+(-(-(-(((1/16000)*((x^3-x)+1))/((((x^4-x^3)+x^2)-x)+1)^4))))+(-(-(181/4000000/(x+1)^3)))+(-(-(1421/2000000/(x-1)^3)))+(-(-(((1/40000)*(x^3+(7*x^2)+(8*x)+4))/(x^4+x^3+x^2+x+1)^5)))+(-(9/500000/(x-1)^4))+(-(1/5000000/(x-1)^5))))))+(((1/972)*((113*x)+137))/(x^2+x+1))+(-(-(-(-(-(((1/12)*(x-1))/((x^2-x)+1)))))))+(-(-(-(-(3/32/(x^2+1))))))+(-(-(-(-(((1/162)*((12*x)+11))/(x^2+x+1)^2)))))+(-(-(-(-(41/384/(x+1))))))+(-(-(-(-(4345/31104/(x-1))))))+(-(-(-(83/1536/(x+1)^2))))+(-(-(-(9205/124416/(x-1)^2))))+(-(-(-(((1/27)*x)/(x^2+x+1)^3))))+(-(-(-(3/128/(x+1)^3))))+(-(-(-(3/64/(x-1)^3))))+(-(-(23/576/(x-1)^4)))+(-(-(5/144/(x-1)^5)))+(-(1/32/(x-1)^6))+(-(1/36/(x-1)^7))+(1/36/(x-1)^8))
A257171 = (((-750000)*integrate((A001343+(-((((1/40)*x^15)/((((x^20-x^15)+x^10)-x^5)+1)^2)+(-(-(-(-(-(-(-(-(-(((1/20)*(((3*x^35)+(3*x^30))-(3*x^25)-(3*x^20)-(4*x^5)-4))/((((x^40-x^30)+x^20)-x^10)+1)))))))))))+(-(-(-(-(-(-(-(-(-(((1/200)*((((35*x^15)-(14*x^10))+(18*x^5))-14))/((((x^20-x^15)+x^10)-x^5)+1)))))))))))+(-(-(-(-(-(-(-(-(-(((1/1000)*((11*x^15)+(92*x^10)+(88*x^5)+84))/(x^20+x^15+x^10+x^5+1)))))))))))+(-(-(-(-(-(-(-(-(-(((1/8000)*(((((89*x^7)+(93*x^6))-(176*x^5)-(184*x^4)-(164*x^3))+(273*x^2)+(81*x))-360))/((((x^8-x^6)+x^4)-x^2)+1)))))))))))+(-(-(-(-(-(-(-(-(((1/80000000)*((13327679*x^3)+(25435958*x^2)+(36381677*x)+46220236))/(x^4+x^3+x^2+x+1))))))))))+(-(-(-(-(-(-(-(-(((1/16000000)*((((622627*x^3)-(1216488*x^2))+(1782307*x))-2320800))/((((x^4-x^3)+x^2)-x)+1))))))))))+(-(-(-(-(-(-(-(((1/8000)*((89*x)+93))/(x^2+1)))))))))+(-(-(-(-(-(-(-(((1/200)*((3*x^15)+(6*x^10)+(4*x^5)+2))/(x^20+x^15+x^10+x^5+1)^2))))))))+(-(-(-(-(-(-(-(((1/800)*(((((2*x^6)+x^5)-(3*x^4)-(3*x^3))+(3*x^2)+x)-2))/((((x^8-x^6)+x^4)-x^2)+1)^2))))))))+(-(-(-(-(-(-(((1/10000000)*((1384842*x^3)+(2076819*x^2)+(2109676*x)+1516278))/(x^4+x^3+x^2+x+1)^2)))))))+(-(-(-(-(-(-(((1/1600000)*((((27330*x^3)-(40993*x^2))+(41343*x))-28730))/((((x^4-x^3)+x^2)-x)+1)^2)))))))+(-(-(-(-(-(622627/16000000/(x+1)))))))+(-(-(-(-(-(((1/4000)*(x+1))/(x^2+1)^2))))))+(-(-(-(-(-(13327679/80000000/(x-1)))))))+(-(-(-(-(((1/2000000)*((65724*x^3)+(67448*x^2)+(37177*x)+6056))/(x^4+x^3+x^2+x+1)^3)))))+(-(-(-(-(((1/160000)*((((350*x^3)-(354*x^2))+(185*x))-14))/((((x^4-x^3)+x^2)-x)+1)^3)))))+(-(-(-(14383/8000000/(x+1)^2))))+(-(-(-(6097/400000/(x-1)^2))))+(-(-(-(((1/100000)*(((219*x^3)+(13*x^2))-(198*x)-204))/(x^4+x^3+x^2+x+1)^4))))+(-(-(-(((1/16000)*((x^3-x)+1))/((((x^4-x^3)+x^2)-x)+1)^4))))+(-(-(181/4000000/(x+1)^3)))+(-(-(1421/2000000/(x-1)^3)))+(-(-(((1/40000)*(x^3+(7*x^2)+(8*x)+4))/(x^4+x^3+x^2+x+1)^5)))+(-(9/500000/(x-1)^4))+(-(1/5000000/(x-1)^5)))))))+(2*x)+(-(-(3/8/(x+1))))+(-(-(3/8/(x-1))))+(-(3/4/(x-1)^2))+(-(3/8/(x-1)^3))+(-(3/4/(x-1)^4))+(-1))
A257890 = (((-(500000/9))*(A001343+(-((((1/40)*x^15)/((((x^20-x^15)+x^10)-x^5)+1)^2)+(-(-(-(-(-(-(-(-(-(((1/20)*(((3*x^35)+(3*x^30))-(3*x^25)-(3*x^20)-(4*x^5)-4))/((((x^40-x^30)+x^20)-x^10)+1)))))))))))+(-(-(-(-(-(-(-(-(-(((1/200)*((((35*x^15)-(14*x^10))+(18*x^5))-14))/((((x^20-x^15)+x^10)-x^5)+1)))))))))))+(-(-(-(-(-(-(-(-(-(((1/1000)*((11*x^15)+(92*x^10)+(88*x^5)+84))/(x^20+x^15+x^10+x^5+1)))))))))))+(-(-(-(-(-(-(-(-(-(((1/8000)*(((((89*x^7)+(93*x^6))-(176*x^5)-(184*x^4)-(164*x^3))+(273*x^2)+(81*x))-360))/((((x^8-x^6)+x^4)-x^2)+1)))))))))))+(-(-(-(-(-(-(-(-(((1/80000000)*((13327679*x^3)+(25435958*x^2)+(36381677*x)+46220236))/(x^4+x^3+x^2+x+1))))))))))+(-(-(-(-(-(-(-(-(((1/16000000)*((((622627*x^3)-(1216488*x^2))+(1782307*x))-2320800))/((((x^4-x^3)+x^2)-x)+1))))))))))+(-(-(-(-(-(-(-(((1/8000)*((89*x)+93))/(x^2+1)))))))))+(-(-(-(-(-(-(-(((1/200)*((3*x^15)+(6*x^10)+(4*x^5)+2))/(x^20+x^15+x^10+x^5+1)^2))))))))+(-(-(-(-(-(-(-(((1/800)*(((((2*x^6)+x^5)-(3*x^4)-(3*x^3))+(3*x^2)+x)-2))/((((x^8-x^6)+x^4)-x^2)+1)^2))))))))+(-(-(-(-(-(-(((1/10000000)*((1384842*x^3)+(2076819*x^2)+(2109676*x)+1516278))/(x^4+x^3+x^2+x+1)^2)))))))+(-(-(-(-(-(-(((1/1600000)*((((27330*x^3)-(40993*x^2))+(41343*x))-28730))/((((x^4-x^3)+x^2)-x)+1)^2)))))))+(-(-(-(-(-(622627/16000000/(x+1)))))))+(-(-(-(-(-(((1/4000)*(x+1))/(x^2+1)^2))))))+(-(-(-(-(-(13327679/80000000/(x-1)))))))+(-(-(-(-(((1/2000000)*((65724*x^3)+(67448*x^2)+(37177*x)+6056))/(x^4+x^3+x^2+x+1)^3)))))+(-(-(-(-(((1/160000)*((((350*x^3)-(354*x^2))+(185*x))-14))/((((x^4-x^3)+x^2)-x)+1)^3)))))+(-(-(-(14383/8000000/(x+1)^2))))+(-(-(-(6097/400000/(x-1)^2))))+(-(-(-(((1/100000)*(((219*x^3)+(13*x^2))-(198*x)-204))/(x^4+x^3+x^2+x+1)^4))))+(-(-(-(((1/16000)*((x^3-x)+1))/((((x^4-x^3)+x^2)-x)+1)^4))))+(-(-(181/4000000/(x+1)^3)))+(-(-(1421/2000000/(x-1)^3)))+(-(-(((1/40000)*(x^3+(7*x^2)+(8*x)+4))/(x^4+x^3+x^2+x+1)^5)))+(-(1/2000000/(x+1)^4))+(-(1/5000000/(x-1)^5))))))+(1/(x-1)^2)+(1/(x-1)^6))
A257464 = (((-(437500/9))*integrate((A001343+(-((((1/40)*x^15)/((((x^20-x^15)+x^10)-x^5)+1)^2)+(-(-(-(-(-(-(-(-(-(((1/20)*(((3*x^35)+(3*x^30))-(3*x^25)-(3*x^20)-(4*x^5)-4))/((((x^40-x^30)+x^20)-x^10)+1)))))))))))+(-(-(-(-(-(-(-(-(-(((1/200)*((((35*x^15)-(14*x^10))+(18*x^5))-14))/((((x^20-x^15)+x^10)-x^5)+1)))))))))))+(-(-(-(-(-(-(-(-(-(((1/1000)*((11*x^15)+(92*x^10)+(88*x^5)+84))/(x^20+x^15+x^10+x^5+1)))))))))))+(-(-(-(-(-(-(-(-(-(((1/8000)*(((((89*x^7)+(93*x^6))-(176*x^5)-(184*x^4)-(164*x^3))+(273*x^2)+(81*x))-360))/((((x^8-x^6)+x^4)-x^2)+1)))))))))))+(-(-(-(-(-(-(-(-(((1/80000000)*((13327679*x^3)+(25435958*x^2)+(36381677*x)+46220236))/(x^4+x^3+x^2+x+1))))))))))+(-(-(-(-(-(-(-(-(((1/16000000)*((((622627*x^3)-(1216488*x^2))+(1782307*x))-2320800))/((((x^4-x^3)+x^2)-x)+1))))))))))+(-(-(-(-(-(-(-(((1/8000)*((89*x)+93))/(x^2+1)))))))))+(-(-(-(-(-(-(-(((1/200)*((3*x^15)+(6*x^10)+(4*x^5)+2))/(x^20+x^15+x^10+x^5+1)^2))))))))+(-(-(-(-(-(-(-(((1/800)*(((((2*x^6)+x^5)-(3*x^4)-(3*x^3))+(3*x^2)+x)-2))/((((x^8-x^6)+x^4)-x^2)+1)^2))))))))+(-(-(-(-(-(-(((1/10000000)*((1384842*x^3)+(2076819*x^2)+(2109676*x)+1516278))/(x^4+x^3+x^2+x+1)^2)))))))+(-(-(-(-(-(-(((1/1600000)*((((27330*x^3)-(40993*x^2))+(41343*x))-28730))/((((x^4-x^3)+x^2)-x)+1)^2)))))))+(-(-(-(-(-(622627/16000000/(x+1)))))))+(-(-(-(-(-(((1/4000)*(x+1))/(x^2+1)^2))))))+(-(-(-(-(-(13327679/80000000/(x-1)))))))+(-(-(-(-(((1/2000000)*((65724*x^3)+(67448*x^2)+(37177*x)+6056))/(x^4+x^3+x^2+x+1)^3)))))+(-(-(-(-(((1/160000)*((((350*x^3)-(354*x^2))+(185*x))-14))/((((x^4-x^3)+x^2)-x)+1)^3)))))+(-(-(-(14383/8000000/(x+1)^2))))+(-(-(-(6097/400000/(x-1)^2))))+(-(-(-(((1/100000)*(((219*x^3)+(13*x^2))-(198*x)-204))/(x^4+x^3+x^2+x+1)^4))))+(-(-(-(((1/16000)*((x^3-x)+1))/((((x^4-x^3)+x^2)-x)+1)^4))))+(-(-(181/4000000/(x+1)^3)))+(-(-(1421/2000000/(x-1)^3)))+(-(-(((1/40000)*(x^3+(7*x^2)+(8*x)+4))/(x^4+x^3+x^2+x+1)^5)))+(-(1/2000000/(x+1)^4))+(-(1/5000000/(x-1)^5)))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257464 = (((-(62500/9))*differential((A001343+(-((((1/40)*x^15)/((((x^20-x^15)+x^10)-x^5)+1)^2)+(-(-(-(-(-(-(-(-(-(((1/20)*(((3*x^35)+(3*x^30))-(3*x^25)-(3*x^20)-(4*x^5)-4))/((((x^40-x^30)+x^20)-x^10)+1)))))))))))+(-(-(-(-(-(-(-(-(-(((1/200)*((((35*x^15)-(14*x^10))+(18*x^5))-14))/((((x^20-x^15)+x^10)-x^5)+1)))))))))))+(-(-(-(-(-(-(-(-(-(((1/1000)*((11*x^15)+(92*x^10)+(88*x^5)+84))/(x^20+x^15+x^10+x^5+1)))))))))))+(-(-(-(-(-(-(-(-(-(((1/8000)*(((((89*x^7)+(93*x^6))-(176*x^5)-(184*x^4)-(164*x^3))+(273*x^2)+(81*x))-360))/((((x^8-x^6)+x^4)-x^2)+1)))))))))))+(-(-(-(-(-(-(-(-(((1/80000000)*((13327679*x^3)+(25435958*x^2)+(36381677*x)+46220236))/(x^4+x^3+x^2+x+1))))))))))+(-(-(-(-(-(-(-(-(((1/16000000)*((((622627*x^3)-(1216488*x^2))+(1782307*x))-2320800))/((((x^4-x^3)+x^2)-x)+1))))))))))+(-(-(-(-(-(-(-(((1/8000)*((89*x)+93))/(x^2+1)))))))))+(-(-(-(-(-(-(-(((1/200)*((3*x^15)+(6*x^10)+(4*x^5)+2))/(x^20+x^15+x^10+x^5+1)^2))))))))+(-(-(-(-(-(-(-(((1/800)*(((((2*x^6)+x^5)-(3*x^4)-(3*x^3))+(3*x^2)+x)-2))/((((x^8-x^6)+x^4)-x^2)+1)^2))))))))+(-(-(-(-(-(-(((1/10000000)*((1384842*x^3)+(2076819*x^2)+(2109676*x)+1516278))/(x^4+x^3+x^2+x+1)^2)))))))+(-(-(-(-(-(-(((1/1600000)*((((27330*x^3)-(40993*x^2))+(41343*x))-28730))/((((x^4-x^3)+x^2)-x)+1)^2)))))))+(-(-(-(-(-(622627/16000000/(x+1)))))))+(-(-(-(-(-(((1/4000)*(x+1))/(x^2+1)^2))))))+(-(-(-(-(-(13327679/80000000/(x-1)))))))+(-(-(-(-(((1/2000000)*((65724*x^3)+(67448*x^2)+(37177*x)+6056))/(x^4+x^3+x^2+x+1)^3)))))+(-(-(-(-(((1/160000)*((((350*x^3)-(354*x^2))+(185*x))-14))/((((x^4-x^3)+x^2)-x)+1)^3)))))+(-(-(-(14383/8000000/(x+1)^2))))+(-(-(-(6097/400000/(x-1)^2))))+(-(-(-(((1/100000)*(((219*x^3)+(13*x^2))-(198*x)-204))/(x^4+x^3+x^2+x+1)^4))))+(-(-(-(((1/16000)*((x^3-x)+1))/((((x^4-x^3)+x^2)-x)+1)^4))))+(-(-(181/4000000/(x+1)^3)))+(-(-(1421/2000000/(x-1)^3)))+(-(-(((1/40000)*(x^3+(7*x^2)+(8*x)+4))/(x^4+x^3+x^2+x+1)^5)))+(-(1/2000000/(x+1)^4))+(-(1/5000000/(x-1)^5)))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(7/24/(x-1)^3))+(-(1/2/(x-1)^4)))
A257464 = ((2500000*(A001343+(-((((1/40)*x^15)/((((x^20-x^15)+x^10)-x^5)+1)^2)+(-(-(-(-(-(-(-(-(-(((1/20)*(((3*x^35)+(3*x^30))-(3*x^25)-(3*x^20)-(4*x^5)-4))/((((x^40-x^30)+x^20)-x^10)+1)))))))))))+(-(-(-(-(-(-(-(-(-(((1/200)*((((35*x^15)-(14*x^10))+(18*x^5))-14))/((((x^20-x^15)+x^10)-x^5)+1)))))))))))+(-(-(-(-(-(-(-(-(-(((1/1000)*((11*x^15)+(92*x^10)+(88*x^5)+84))/(x^20+x^15+x^10+x^5+1)))))))))))+(-(-(-(-(-(-(-(-(-(((1/8000)*(((((89*x^7)+(93*x^6))-(176*x^5)-(184*x^4)-(164*x^3))+(273*x^2)+(81*x))-360))/((((x^8-x^6)+x^4)-x^2)+1)))))))))))+(-(-(-(-(-(-(-(-(((1/80000000)*((13327679*x^3)+(25435958*x^2)+(36381677*x)+46220236))/(x^4+x^3+x^2+x+1))))))))))+(-(-(-(-(-(-(-(-(((1/16000000)*((((622627*x^3)-(1216488*x^2))+(1782307*x))-2320800))/((((x^4-x^3)+x^2)-x)+1))))))))))+(-(-(-(-(-(-(-(((1/8000)*((89*x)+93))/(x^2+1)))))))))+(-(-(-(-(-(-(-(((1/200)*((3*x^15)+(6*x^10)+(4*x^5)+2))/(x^20+x^15+x^10+x^5+1)^2))))))))+(-(-(-(-(-(-(-(((1/800)*(((((2*x^6)+x^5)-(3*x^4)-(3*x^3))+(3*x^2)+x)-2))/((((x^8-x^6)+x^4)-x^2)+1)^2))))))))+(-(-(-(-(-(-(((1/10000000)*((1384842*x^3)+(2076819*x^2)+(2109676*x)+1516278))/(x^4+x^3+x^2+x+1)^2)))))))+(-(-(-(-(-(-(((1/1600000)*((((27330*x^3)-(40993*x^2))+(41343*x))-28730))/((((x^4-x^3)+x^2)-x)+1)^2)))))))+(-(-(-(-(-(622627/16000000/(x+1)))))))+(-(-(-(-(-(((1/4000)*(x+1))/(x^2+1)^2))))))+(-(-(-(-(-(13327679/80000000/(x-1)))))))+(-(-(-(-(((1/2000000)*((65724*x^3)+(67448*x^2)+(37177*x)+6056))/(x^4+x^3+x^2+x+1)^3)))))+(-(-(-(-(((1/160000)*((((350*x^3)-(354*x^2))+(185*x))-14))/((((x^4-x^3)+x^2)-x)+1)^3)))))+(-(-(-(14383/8000000/(x+1)^2))))+(-(-(-(6097/400000/(x-1)^2))))+(-(-(-(((1/100000)*(((219*x^3)+(13*x^2))-(198*x)-204))/(x^4+x^3+x^2+x+1)^4))))+(-(-(-(((1/16000)*((x^3-x)+1))/((((x^4-x^3)+x^2)-x)+1)^4))))+(-(-(181/4000000/(x+1)^3)))+(-(-(1421/2000000/(x-1)^3)))+(-(-(((1/40000)*(x^3+(7*x^2)+(8*x)+4))/(x^4+x^3+x^2+x+1)^5)))+(-(1/2000000/(x+1)^4))+(-(9/500000/(x-1)^4))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(7/24/(x-1)^3))+(-(1/2/(x-1)^4)))
A257890 = ((20000000*integrate((A001343+(-((((1/40)*x^15)/((((x^20-x^15)+x^10)-x^5)+1)^2)+(-(-(-(-(-(-(-(-(-(((1/20)*(((3*x^35)+(3*x^30))-(3*x^25)-(3*x^20)-(4*x^5)-4))/((((x^40-x^30)+x^20)-x^10)+1)))))))))))+(-(-(-(-(-(-(-(-(-(((1/200)*((((35*x^15)-(14*x^10))+(18*x^5))-14))/((((x^20-x^15)+x^10)-x^5)+1)))))))))))+(-(-(-(-(-(-(-(-(-(((1/1000)*((11*x^15)+(92*x^10)+(88*x^5)+84))/(x^20+x^15+x^10+x^5+1)))))))))))+(-(-(-(-(-(-(-(-(-(((1/8000)*(((((89*x^7)+(93*x^6))-(176*x^5)-(184*x^4)-(164*x^3))+(273*x^2)+(81*x))-360))/((((x^8-x^6)+x^4)-x^2)+1)))))))))))+(-(-(-(-(-(-(-(-(((1/80000000)*((13327679*x^3)+(25435958*x^2)+(36381677*x)+46220236))/(x^4+x^3+x^2+x+1))))))))))+(-(-(-(-(-(-(-(-(((1/16000000)*((((622627*x^3)-(1216488*x^2))+(1782307*x))-2320800))/((((x^4-x^3)+x^2)-x)+1))))))))))+(-(-(-(-(-(-(-(((1/8000)*((89*x)+93))/(x^2+1)))))))))+(-(-(-(-(-(-(-(((1/200)*((3*x^15)+(6*x^10)+(4*x^5)+2))/(x^20+x^15+x^10+x^5+1)^2))))))))+(-(-(-(-(-(-(-(((1/800)*(((((2*x^6)+x^5)-(3*x^4)-(3*x^3))+(3*x^2)+x)-2))/((((x^8-x^6)+x^4)-x^2)+1)^2))))))))+(-(-(-(-(-(-(((1/10000000)*((1384842*x^3)+(2076819*x^2)+(2109676*x)+1516278))/(x^4+x^3+x^2+x+1)^2)))))))+(-(-(-(-(-(-(((1/1600000)*((((27330*x^3)-(40993*x^2))+(41343*x))-28730))/((((x^4-x^3)+x^2)-x)+1)^2)))))))+(-(-(-(-(-(622627/16000000/(x+1)))))))+(-(-(-(-(-(((1/4000)*(x+1))/(x^2+1)^2))))))+(-(-(-(-(-(13327679/80000000/(x-1)))))))+(-(-(-(-(((1/2000000)*((65724*x^3)+(67448*x^2)+(37177*x)+6056))/(x^4+x^3+x^2+x+1)^3)))))+(-(-(-(-(((1/160000)*((((350*x^3)-(354*x^2))+(185*x))-14))/((((x^4-x^3)+x^2)-x)+1)^3)))))+(-(-(-(14383/8000000/(x+1)^2))))+(-(-(-(6097/400000/(x-1)^2))))+(-(-(-(((1/100000)*(((219*x^3)+(13*x^2))-(198*x)-204))/(x^4+x^3+x^2+x+1)^4))))+(-(-(-(((1/16000)*((x^3-x)+1))/((((x^4-x^3)+x^2)-x)+1)^4))))+(-(-(181/4000000/(x+1)^3)))+(-(-(1421/2000000/(x-1)^3)))+(-(-(((1/40000)*(x^3+(7*x^2)+(8*x)+4))/(x^4+x^3+x^2+x+1)^5)))+(-(1/2000000/(x+1)^4))+(-(9/500000/(x-1)^4)))))))+(1/(x-1)^2)+(1/(x-1)^6))
A257890 = ((1000000*differential((A001343+(-((((1/40)*x^15)/((((x^20-x^15)+x^10)-x^5)+1)^2)+(-(-(-(-(-(-(-(-(-(((1/20)*(((3*x^35)+(3*x^30))-(3*x^25)-(3*x^20)-(4*x^5)-4))/((((x^40-x^30)+x^20)-x^10)+1)))))))))))+(-(-(-(-(-(-(-(-(-(((1/200)*((((35*x^15)-(14*x^10))+(18*x^5))-14))/((((x^20-x^15)+x^10)-x^5)+1)))))))))))+(-(-(-(-(-(-(-(-(-(((1/1000)*((11*x^15)+(92*x^10)+(88*x^5)+84))/(x^20+x^15+x^10+x^5+1)))))))))))+(-(-(-(-(-(-(-(-(-(((1/8000)*(((((89*x^7)+(93*x^6))-(176*x^5)-(184*x^4)-(164*x^3))+(273*x^2)+(81*x))-360))/((((x^8-x^6)+x^4)-x^2)+1)))))))))))+(-(-(-(-(-(-(-(-(((1/80000000)*((13327679*x^3)+(25435958*x^2)+(36381677*x)+46220236))/(x^4+x^3+x^2+x+1))))))))))+(-(-(-(-(-(-(-(-(((1/16000000)*((((622627*x^3)-(1216488*x^2))+(1782307*x))-2320800))/((((x^4-x^3)+x^2)-x)+1))))))))))+(-(-(-(-(-(-(-(((1/8000)*((89*x)+93))/(x^2+1)))))))))+(-(-(-(-(-(-(-(((1/200)*((3*x^15)+(6*x^10)+(4*x^5)+2))/(x^20+x^15+x^10+x^5+1)^2))))))))+(-(-(-(-(-(-(-(((1/800)*(((((2*x^6)+x^5)-(3*x^4)-(3*x^3))+(3*x^2)+x)-2))/((((x^8-x^6)+x^4)-x^2)+1)^2))))))))+(-(-(-(-(-(-(((1/10000000)*((1384842*x^3)+(2076819*x^2)+(2109676*x)+1516278))/(x^4+x^3+x^2+x+1)^2)))))))+(-(-(-(-(-(-(((1/1600000)*((((27330*x^3)-(40993*x^2))+(41343*x))-28730))/((((x^4-x^3)+x^2)-x)+1)^2)))))))+(-(-(-(-(-(622627/16000000/(x+1)))))))+(-(-(-(-(-(((1/4000)*(x+1))/(x^2+1)^2))))))+(-(-(-(-(-(13327679/80000000/(x-1)))))))+(-(-(-(-(((1/2000000)*((65724*x^3)+(67448*x^2)+(37177*x)+6056))/(x^4+x^3+x^2+x+1)^3)))))+(-(-(-(-(((1/160000)*((((350*x^3)-(354*x^2))+(185*x))-14))/((((x^4-x^3)+x^2)-x)+1)^3)))))+(-(-(-(14383/8000000/(x+1)^2))))+(-(-(-(6097/400000/(x-1)^2))))+(-(-(-(((1/100000)*(((219*x^3)+(13*x^2))-(198*x)-204))/(x^4+x^3+x^2+x+1)^4))))+(-(-(-(((1/16000)*((x^3-x)+1))/((((x^4-x^3)+x^2)-x)+1)^4))))+(-(-(181/4000000/(x+1)^3)))+(-(-(1421/2000000/(x-1)^3)))+(-(-(((1/40000)*(x^3+(7*x^2)+(8*x)+4))/(x^4+x^3+x^2+x+1)^5)))+(-(1/2000000/(x+1)^4))+(-(9/500000/(x-1)^4)))))))+(1/(x-1)^2)+(1/(x-1)^4))
A257850 = (((-(1/20))*differential((A001350+(-(((x-2)/((x^2+x)-1))+(1/(x-1)))))))+(((1/5)*((15*x^3)+(4*x^2)+(8*x)+9))/((((x^4-x^3)+x^2)-x)+1))+(-(-(((1/5)*((11*x^3)+(16*x^2)+(15*x)+8))/(x^4+x^3+x^2+x+1))))+(-(-(((1/2)*((2*x^3)+(2*x^2)+x))/(x^4+x^3+x^2+x+1)^2)))+(-(-(((1/2)*(((2*x^2)-x)+2))/((((x^4-x^3)+x^2)-x)+1)^2)))+(-(1/2/(x+1)))+(-(33/10/(x-1)))+(9/20/(x-1)^2))
A257890 = (((-1)*differential((A001350+(-(((x-2)/((x^2+x)-1))+(-(1/(x+1))))))))+(1/(x-1)^4)+(1/(x-1)^6))
A234272 = (((4/3)*(A001352+(-1)))+1)
A234272 = ((8*A001353)+1)
A254884 = (((1/7)*(A001354+(-1)))+(x/((x^2+x)-1))+(x/(x^2-x-1)))
A257890 = (((-(1/6))*differential((A001360+(-(-((7*(x-1))/((x^2-(3*x))+1)))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257890 = (((1/241)*differential((A001361+(-((-(9120/(x-1)^2))+(-(112560/(x-1)^3))+(-(630720/(x-1)^4))+(-(1874880/(x-1)^5))+(-(3162240/(x-1)^6))+(-(3041280/(x-1)^7))+(-(1555200/(x-1)^8))+(-(328320/(x-1)^9))+(-1))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257890 = (((-(1/9120))*(A001361+(-((-(241/(x-1)))+(-(112560/(x-1)^3))+(-(630720/(x-1)^4))+(-(1874880/(x-1)^5))+(-(3162240/(x-1)^6))+(-(3041280/(x-1)^7))+(-(1555200/(x-1)^8))+(-(328320/(x-1)^9))+(-1)))))+(1/(x-1)^4)+(1/(x-1)^6))
A257464 = (((-(7/437760))*differential((A001361+(-((-(241/(x-1)))+(-(112560/(x-1)^3))+(-(630720/(x-1)^4))+(-(1874880/(x-1)^5))+(-(3162240/(x-1)^6))+(-(3041280/(x-1)^7))+(-(1555200/(x-1)^8))+(-(328320/(x-1)^9))+(-1))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257464 = (((1/385920)*(A001361+(-((-(241/(x-1)))+(-(9120/(x-1)^2))+(-(630720/(x-1)^4))+(-(1874880/(x-1)^5))+(-(3162240/(x-1)^6))+(-(3041280/(x-1)^7))+(-(1555200/(x-1)^8))+(-(328320/(x-1)^9))+(-1)))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257890 = (((1/56280)*integrate((A001361+(-((-(241/(x-1)))+(-(9120/(x-1)^2))+(-(630720/(x-1)^4))+(-(1874880/(x-1)^5))+(-(3162240/(x-1)^6))+(-(3041280/(x-1)^7))+(-(1555200/(x-1)^8))+(-(328320/(x-1)^9))+(-1))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257890 = (((1/337680)*differential((A001361+(-((-(241/(x-1)))+(-(9120/(x-1)^2))+(-(630720/(x-1)^4))+(-(1874880/(x-1)^5))+(-(3162240/(x-1)^6))+(-(3041280/(x-1)^7))+(-(1555200/(x-1)^8))+(-(328320/(x-1)^9))+(-1))))))+(1/(x-1)^2)+(1/(x-1)^6))
A257890 = (((-(1/630720))*(A001361+(-((-(241/(x-1)))+(-(9120/(x-1)^2))+(-(112560/(x-1)^3))+(-(1874880/(x-1)^5))+(-(3162240/(x-1)^6))+(-(3041280/(x-1)^7))+(-(1555200/(x-1)^8))+(-(328320/(x-1)^9))+(-1)))))+(1/(x-1)^2)+(1/(x-1)^6))
A257464 = (((-(7/5045760))*integrate((A001361+(-((-(241/(x-1)))+(-(9120/(x-1)^2))+(-(112560/(x-1)^3))+(-(1874880/(x-1)^5))+(-(3162240/(x-1)^6))+(-(3041280/(x-1)^7))+(-(1555200/(x-1)^8))+(-(328320/(x-1)^9))+(-1))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257464 = (((-(1/5045760))*differential((A001361+(-((-(241/(x-1)))+(-(9120/(x-1)^2))+(-(112560/(x-1)^3))+(-(1874880/(x-1)^5))+(-(3162240/(x-1)^6))+(-(3041280/(x-1)^7))+(-(1555200/(x-1)^8))+(-(328320/(x-1)^9))+(-1))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(7/24/(x-1)^3))+(-(1/2/(x-1)^4)))
A257464 = (((1/3749760)*(A001361+(-((-(241/(x-1)))+(-(9120/(x-1)^2))+(-(112560/(x-1)^3))+(-(630720/(x-1)^4))+(-(3162240/(x-1)^6))+(-(3041280/(x-1)^7))+(-(1555200/(x-1)^8))+(-(328320/(x-1)^9))+(-1)))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(7/24/(x-1)^3))+(-(1/2/(x-1)^4)))
A257890 = (((1/468720)*integrate((A001361+(-((-(241/(x-1)))+(-(9120/(x-1)^2))+(-(112560/(x-1)^3))+(-(630720/(x-1)^4))+(-(3162240/(x-1)^6))+(-(3041280/(x-1)^7))+(-(1555200/(x-1)^8))+(-(328320/(x-1)^9))+(-1))))))+(1/(x-1)^2)+(1/(x-1)^6))
A257890 = (((1/9374400)*differential((A001361+(-((-(241/(x-1)))+(-(9120/(x-1)^2))+(-(112560/(x-1)^3))+(-(630720/(x-1)^4))+(-(3162240/(x-1)^6))+(-(3041280/(x-1)^7))+(-(1555200/(x-1)^8))+(-(328320/(x-1)^9))+(-1))))))+(1/(x-1)^2)+(1/(x-1)^4))
A257890 = (((-(1/3162240))*(A001361+(-((-(241/(x-1)))+(-(9120/(x-1)^2))+(-(112560/(x-1)^3))+(-(630720/(x-1)^4))+(-(1874880/(x-1)^5))+(-(3041280/(x-1)^7))+(-(1555200/(x-1)^8))+(-(328320/(x-1)^9))+(-1)))))+(1/(x-1)^2)+(1/(x-1)^4))
A257464 = (((-(1/1264896))*integrate((A001361+(-((-(241/(x-1)))+(-(9120/(x-1)^2))+(-(112560/(x-1)^3))+(-(630720/(x-1)^4))+(-(1874880/(x-1)^5))+(-(3041280/(x-1)^7))+(-(1555200/(x-1)^8))+(-(328320/(x-1)^9))+(-1))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(7/24/(x-1)^3))+(-(1/2/(x-1)^4)))
A257201 = (((1/9486720)*differential((A001361+(-((-(241/(x-1)))+(-(9120/(x-1)^2))+(-(112560/(x-1)^3))+(-(630720/(x-1)^4))+(-(1874880/(x-1)^5))+(-(3041280/(x-1)^7))+(-(1555200/(x-1)^8))+(-(328320/(x-1)^9))+(-1))))))+(1/(x-1)^5)+(2/(x-1)^6)+(1/(x-1)^8))
A257201 = (((-(1/1520640))*(A001361+(-((-(241/(x-1)))+(-(9120/(x-1)^2))+(-(112560/(x-1)^3))+(-(630720/(x-1)^4))+(-(1874880/(x-1)^5))+(-(3162240/(x-1)^6))+(-(1555200/(x-1)^8))+(-(328320/(x-1)^9))+(-1)))))+(1/(x-1)^5)+(2/(x-1)^6)+(1/(x-1)^8))
A257890 = (((1/506880)*integrate((A001361+(-((-(241/(x-1)))+(-(9120/(x-1)^2))+(-(112560/(x-1)^3))+(-(630720/(x-1)^4))+(-(1874880/(x-1)^5))+(-(3162240/(x-1)^6))+(-(1555200/(x-1)^8))+(-(328320/(x-1)^9))+(-1))))))+(1/(x-1)^2)+(1/(x-1)^4))
A257201 = (((1/21288960)*differential((A001361+(-((-(241/(x-1)))+(-(9120/(x-1)^2))+(-(112560/(x-1)^3))+(-(630720/(x-1)^4))+(-(1874880/(x-1)^5))+(-(3162240/(x-1)^6))+(-(1555200/(x-1)^8))+(-(328320/(x-1)^9))+(-1))))))+(1/(x-1)^5)+(2/(x-1)^6)+(2/(x-1)^7))
A257201 = (((-(1/1555200))*(A001361+(-((-(241/(x-1)))+(-(9120/(x-1)^2))+(-(112560/(x-1)^3))+(-(630720/(x-1)^4))+(-(1874880/(x-1)^5))+(-(3162240/(x-1)^6))+(-(3041280/(x-1)^7))+(-(328320/(x-1)^9))+(-1)))))+(1/(x-1)^5)+(2/(x-1)^6)+(2/(x-1)^7))
A257201 = (((7/777600)*integrate((A001361+(-((-(241/(x-1)))+(-(9120/(x-1)^2))+(-(112560/(x-1)^3))+(-(630720/(x-1)^4))+(-(1874880/(x-1)^5))+(-(3162240/(x-1)^6))+(-(3041280/(x-1)^7))+(-(328320/(x-1)^9))+(-1))))))+(1/(x-1)^5)+(2/(x-1)^6)+(1/(x-1)^8))
A256181 = (((-(73603/12441600))*differential((A001361+(-((-(241/(x-1)))+(-(9120/(x-1)^2))+(-(112560/(x-1)^3))+(-(630720/(x-1)^4))+(-(1874880/(x-1)^5))+(-(3162240/(x-1)^6))+(-(3041280/(x-1)^7))+(-(328320/(x-1)^9))+(-1))))))+(-(1/(x-1)))+(-(3/(x-1)^3))+(-(102/(x-1)^4))+(-(1305/(x-1)^5))+(-(7812/(x-1)^6))+(-(26333/(x-1)^7))+(-(54854/(x-1)^8))+(-(63976/(x-1)^10))+(-(34905/(x-1)^11))+(-(10890/(x-1)^12))+(-(1485/(x-1)^13))+(-1))
A256181 = (((73603/328320)*(A001361+(-((-(241/(x-1)))+(-(9120/(x-1)^2))+(-(112560/(x-1)^3))+(-(630720/(x-1)^4))+(-(1874880/(x-1)^5))+(-(3162240/(x-1)^6))+(-(3041280/(x-1)^7))+(-(1555200/(x-1)^8))+(-1)))))+(-(1/(x-1)))+(-(3/(x-1)^3))+(-(102/(x-1)^4))+(-(1305/(x-1)^5))+(-(7812/(x-1)^6))+(-(26333/(x-1)^7))+(-(54854/(x-1)^8))+(-(63976/(x-1)^10))+(-(34905/(x-1)^11))+(-(10890/(x-1)^12))+(-(1485/(x-1)^13))+(-1))
A257201 = (((1/41040)*integrate((A001361+(-((-(241/(x-1)))+(-(9120/(x-1)^2))+(-(112560/(x-1)^3))+(-(630720/(x-1)^4))+(-(1874880/(x-1)^5))+(-(3162240/(x-1)^6))+(-(3041280/(x-1)^7))+(-(1555200/(x-1)^8))+(-1))))))+(1/(x-1)^5)+(2/(x-1)^6)+(2/(x-1)^7))
A256181 = (((-(7997/369360))*differential((A001361+(-((-(241/(x-1)))+(-(9120/(x-1)^2))+(-(112560/(x-1)^3))+(-(630720/(x-1)^4))+(-(1874880/(x-1)^5))+(-(3162240/(x-1)^6))+(-(3041280/(x-1)^7))+(-(1555200/(x-1)^8))+(-1))))))+(-(1/(x-1)))+(-(3/(x-1)^3))+(-(102/(x-1)^4))+(-(1305/(x-1)^5))+(-(7812/(x-1)^6))+(-(26333/(x-1)^7))+(-(54854/(x-1)^8))+(-(73603/(x-1)^9))+(-(34905/(x-1)^11))+(-(10890/(x-1)^12))+(-(1485/(x-1)^13))+(-1))
A257850 = (((8/23)*differential((A001362+(-((((1/10)*((((2*x^3)-x^2)+x)-1))/((((x^4-x^3)+x^2)-x)+1))+(-(-(((1/10)*(x^2+x+1))/(x^4+x^3+x^2+x+1))))+(-(-(((1/16)*(x+1))/(x^2+1))))+(-(-(13/32/(x-1))))+(-(7/160/(x+1)^2))+(-(39/160/(x-1)^2))+(-(1/160/(x+1)^3))+(-(13/160/(x-1)^3))+(1/80/(x-1)^4))))))+(((1/5)*((15*x^3)+(4*x^2)+(8*x)+9))/((((x^4-x^3)+x^2)-x)+1))+(-(-(((1/5)*((11*x^3)+(16*x^2)+(15*x)+8))/(x^4+x^3+x^2+x+1))))+(-(-(((1/2)*((2*x^3)+(2*x^2)+x))/(x^4+x^3+x^2+x+1)^2)))+(-(-(((1/2)*(((2*x^2)-x)+2))/((((x^4-x^3)+x^2)-x)+1)^2)))+(-(1/2/(x+1)))+(-(33/10/(x-1)))+(9/20/(x-1)^2))
A257890 = (((-(32/13))*differential((A001362+(-((((1/10)*((((2*x^3)-x^2)+x)-1))/((((x^4-x^3)+x^2)-x)+1))+(-(-(((1/10)*(x^2+x+1))/(x^4+x^3+x^2+x+1))))+(-(-(((1/16)*(x+1))/(x^2+1))))+(-(-(23/160/(x+1))))+(-(7/160/(x+1)^2))+(-(39/160/(x-1)^2))+(-(1/160/(x+1)^3))+(-(13/160/(x-1)^3))+(1/80/(x-1)^4))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257850 = (((8/7)*(A001362+(-((((1/10)*((((2*x^3)-x^2)+x)-1))/((((x^4-x^3)+x^2)-x)+1))+(-(-(((1/10)*(x^2+x+1))/(x^4+x^3+x^2+x+1))))+(-(-(((1/16)*(x+1))/(x^2+1))))+(-(-(23/160/(x+1))))+(-(-(13/32/(x-1))))+(-(39/160/(x-1)^2))+(-(1/160/(x+1)^3))+(-(13/160/(x-1)^3))+(1/80/(x-1)^4)))))+(((1/5)*((15*x^3)+(4*x^2)+(8*x)+9))/((((x^4-x^3)+x^2)-x)+1))+(-(-(((1/5)*((11*x^3)+(16*x^2)+(15*x)+8))/(x^4+x^3+x^2+x+1))))+(-(-(((1/2)*((2*x^3)+(2*x^2)+x))/(x^4+x^3+x^2+x+1)^2)))+(-(-(((1/2)*(((2*x^2)-x)+2))/((((x^4-x^3)+x^2)-x)+1)^2)))+(-(1/2/(x+1)))+(-(33/10/(x-1)))+(9/20/(x-1)^2))
A257171 = (((-(10/7))*differential((A001362+(-((((1/10)*((((2*x^3)-x^2)+x)-1))/((((x^4-x^3)+x^2)-x)+1))+(-(-(((1/10)*(x^2+x+1))/(x^4+x^3+x^2+x+1))))+(-(-(((1/16)*(x+1))/(x^2+1))))+(-(-(23/160/(x+1))))+(-(-(13/32/(x-1))))+(-(39/160/(x-1)^2))+(-(1/160/(x+1)^3))+(-(13/160/(x-1)^3))+(1/80/(x-1)^4))))))+(2*x)+(-(-(3/8/(x+1))))+(-(-(3/8/(x-1))))+(-(3/4/(x-1)^2))+(-(3/8/(x-1)^3))+(-(3/4/(x-1)^4))+(-1))
A257890 = (((-(160/39))*(A001362+(-((((1/10)*((((2*x^3)-x^2)+x)-1))/((((x^4-x^3)+x^2)-x)+1))+(-(-(((1/10)*(x^2+x+1))/(x^4+x^3+x^2+x+1))))+(-(-(((1/16)*(x+1))/(x^2+1))))+(-(-(23/160/(x+1))))+(-(-(13/32/(x-1))))+(-(7/160/(x+1)^2))+(-(1/160/(x+1)^3))+(-(13/160/(x-1)^3))+(1/80/(x-1)^4)))))+(1/(x-1)^4)+(1/(x-1)^6))
A257464 = (((-(70/117))*differential((A001362+(-((((1/10)*((((2*x^3)-x^2)+x)-1))/((((x^4-x^3)+x^2)-x)+1))+(-(-(((1/10)*(x^2+x+1))/(x^4+x^3+x^2+x+1))))+(-(-(((1/16)*(x+1))/(x^2+1))))+(-(-(23/160/(x+1))))+(-(-(13/32/(x-1))))+(-(7/160/(x+1)^2))+(-(1/160/(x+1)^3))+(-(13/160/(x-1)^3))+(1/80/(x-1)^4))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257171 = ((20*(A001362+(-((((1/10)*((((2*x^3)-x^2)+x)-1))/((((x^4-x^3)+x^2)-x)+1))+(-(-(((1/10)*(x^2+x+1))/(x^4+x^3+x^2+x+1))))+(-(-(((1/16)*(x+1))/(x^2+1))))+(-(-(23/160/(x+1))))+(-(-(13/32/(x-1))))+(-(7/160/(x+1)^2))+(-(39/160/(x-1)^2))+(-(13/160/(x-1)^3))+(1/80/(x-1)^4)))))+(2*x)+(-(-(3/8/(x+1))))+(-(-(3/8/(x-1))))+(-(3/4/(x-1)^2))+(-(3/8/(x-1)^3))+(-(3/4/(x-1)^4))+(-1))
A257850 = (((-16)*integrate((A001362+(-((((1/10)*((((2*x^3)-x^2)+x)-1))/((((x^4-x^3)+x^2)-x)+1))+(-(-(((1/10)*(x^2+x+1))/(x^4+x^3+x^2+x+1))))+(-(-(((1/16)*(x+1))/(x^2+1))))+(-(-(23/160/(x+1))))+(-(-(13/32/(x-1))))+(-(7/160/(x+1)^2))+(-(39/160/(x-1)^2))+(-(13/160/(x-1)^3))+(1/80/(x-1)^4))))))+(((1/5)*((15*x^3)+(4*x^2)+(8*x)+9))/((((x^4-x^3)+x^2)-x)+1))+(-(-(((1/5)*((11*x^3)+(16*x^2)+(15*x)+8))/(x^4+x^3+x^2+x+1))))+(-(-(((1/2)*((2*x^3)+(2*x^2)+x))/(x^4+x^3+x^2+x+1)^2)))+(-(-(((1/2)*(((2*x^2)-x)+2))/((((x^4-x^3)+x^2)-x)+1)^2)))+(-(1/2/(x+1)))+(-(33/10/(x-1)))+(9/20/(x-1)^2))
A254233 = (((5/12)*differential((A001362+(-((((1/10)*((((2*x^3)-x^2)+x)-1))/((((x^4-x^3)+x^2)-x)+1))+(-(-(((1/10)*(x^2+x+1))/(x^4+x^3+x^2+x+1))))+(-(-(((1/16)*(x+1))/(x^2+1))))+(-(-(23/160/(x+1))))+(-(-(13/32/(x-1))))+(-(7/160/(x+1)^2))+(-(39/160/(x-1)^2))+(-(13/160/(x-1)^3))+(1/80/(x-1)^4))))))+(((1/972)*((113*x)+137))/(x^2+x+1))+(-(-(-(-(-(((1/12)*(x-1))/((x^2-x)+1)))))))+(-(-(-(-(3/32/(x^2+1))))))+(-(-(-(-(((1/162)*((12*x)+11))/(x^2+x+1)^2)))))+(-(-(-(-(41/384/(x+1))))))+(-(-(-(-(4345/31104/(x-1))))))+(-(-(-(83/1536/(x+1)^2))))+(-(-(-(9205/124416/(x-1)^2))))+(-(-(-(((1/27)*x)/(x^2+x+1)^3))))+(-(-(-(3/128/(x+1)^3))))+(-(-(-(3/64/(x-1)^3))))+(-(-(23/576/(x-1)^4)))+(-(-(5/144/(x-1)^5)))+(-(1/32/(x-1)^6))+(-(1/36/(x-1)^7))+(1/36/(x-1)^8))
A257464 = (((140/39)*(A001362+(-((((1/10)*((((2*x^3)-x^2)+x)-1))/((((x^4-x^3)+x^2)-x)+1))+(-(-(((1/10)*(x^2+x+1))/(x^4+x^3+x^2+x+1))))+(-(-(((1/16)*(x+1))/(x^2+1))))+(-(-(23/160/(x+1))))+(-(-(13/32/(x-1))))+(-(7/160/(x+1)^2))+(-(39/160/(x-1)^2))+(-(1/160/(x+1)^3))+(1/80/(x-1)^4)))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257890 = (((320/13)*integrate((A001362+(-((((1/10)*((((2*x^3)-x^2)+x)-1))/((((x^4-x^3)+x^2)-x)+1))+(-(-(((1/10)*(x^2+x+1))/(x^4+x^3+x^2+x+1))))+(-(-(((1/16)*(x+1))/(x^2+1))))+(-(-(23/160/(x+1))))+(-(-(13/32/(x-1))))+(-(7/160/(x+1)^2))+(-(39/160/(x-1)^2))+(-(1/160/(x+1)^3))+(1/80/(x-1)^4))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257890 = (((160/39)*differential((A001362+(-((((1/10)*((((2*x^3)-x^2)+x)-1))/((((x^4-x^3)+x^2)-x)+1))+(-(-(((1/10)*(x^2+x+1))/(x^4+x^3+x^2+x+1))))+(-(-(((1/16)*(x+1))/(x^2+1))))+(-(-(23/160/(x+1))))+(-(-(13/32/(x-1))))+(-(7/160/(x+1)^2))+(-(39/160/(x-1)^2))+(-(1/160/(x+1)^3))+(1/80/(x-1)^4))))))+(1/(x-1)^2)+(1/(x-1)^6))
A257890 = ((80*(A001362+(-((((1/10)*((((2*x^3)-x^2)+x)-1))/((((x^4-x^3)+x^2)-x)+1))+(-(-(((1/10)*(x^2+x+1))/(x^4+x^3+x^2+x+1))))+(-(-(((1/16)*(x+1))/(x^2+1))))+(-(-(23/160/(x+1))))+(-(-(13/32/(x-1))))+(-(7/160/(x+1)^2))+(-(39/160/(x-1)^2))+(-(1/160/(x+1)^3))+(-(13/160/(x-1)^3))))))+(1/(x-1)^2)+(1/(x-1)^6))
A257464 = ((70*integrate((A001362+(-((((1/10)*((((2*x^3)-x^2)+x)-1))/((((x^4-x^3)+x^2)-x)+1))+(-(-(((1/10)*(x^2+x+1))/(x^4+x^3+x^2+x+1))))+(-(-(((1/16)*(x+1))/(x^2+1))))+(-(-(23/160/(x+1))))+(-(-(13/32/(x-1))))+(-(7/160/(x+1)^2))+(-(39/160/(x-1)^2))+(-(1/160/(x+1)^3))+(-(13/160/(x-1)^3)))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257464 = ((10*differential((A001362+(-((((1/10)*((((2*x^3)-x^2)+x)-1))/((((x^4-x^3)+x^2)-x)+1))+(-(-(((1/10)*(x^2+x+1))/(x^4+x^3+x^2+x+1))))+(-(-(((1/16)*(x+1))/(x^2+1))))+(-(-(23/160/(x+1))))+(-(-(13/32/(x-1))))+(-(7/160/(x+1)^2))+(-(39/160/(x-1)^2))+(-(1/160/(x+1)^3))+(-(13/160/(x-1)^3)))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(7/24/(x-1)^3))+(-(1/2/(x-1)^4)))
A257850 = ((((x^2+(2*x)+1)/((3.51858772596668*x^2)+(7.03717545193336*x)+3.51858772596668))*differential((A001364+(-((-(((1/30)*(((268*x^31)+(268*x^30)+(268*x^29)+(268*x^28)+(536*x^27)+(536*x^26)+(530*x^25)+(530*x^24)+(524*x^23)+(524*x^22)+(507*x^21)+(507*x^20)+(222*x^19)+(222*x^18)+(194*x^17)+(194*x^16))-(102*x^15)-(102*x^14)-(134*x^13)-(134*x^12)-(434*x^11)-(434*x^10)-(462*x^9)-(462*x^8)-(490*x^7)-(490*x^6)-(507*x^5)-(507*x^4)-(256*x^3)-(256*x^2)-(262*x)-262))/(((x^32+x^28)-x^20-x^16-x^12)+x^4+1)))+(-(-(-(-(-(-(-(-(-(-(((1/48)*(((74*x^31)+(74*x^30)+(56*x^29)+(56*x^28)+(38*x^27)+(38*x^26)+(19*x^25)+(19*x^24))-(19*x^21)-(19*x^20)-(38*x^19)-(38*x^18)-(56*x^17)-(56*x^16)-(148*x^15)-(148*x^14)-(145*x^13)-(145*x^12)-(142*x^11)-(142*x^10)-(134*x^9)-(134*x^8)-(126*x^7)-(126*x^6)-(115*x^5)-(115*x^4)-(104*x^3)-(104*x^2)-(89*x)-89))/((x^32-x^16)+1))))))))))))+(-(-(-(-(-(-(-(-(-(-(((1/1152)*(((254*x^15)+(254*x^14)+(424*x^13)+(424*x^12)+(594*x^11)+(594*x^10)+(657*x^9)+(657*x^8)+(466*x^7)+(466*x^6)+(287*x^5)+(287*x^4)+(108*x^3)+(108*x^2))-(73*x)-73))/((x^16-x^8)+1))))))))))))+(-(-(-(-(-(-(-(-(-(((1/300)*(((24*x^15)+(24*x^14)+(24*x^13)+(24*x^12))-(24*x^11)-(24*x^10)-(92*x^9)-(92*x^8)-(133*x^7)-(133*x^6)-(146*x^5)-(146*x^4)-(109*x^3)-(109*x^2)-(44*x)-44))/(((x^16+x^14)-x^10-x^8-x^6)+x^2+1)))))))))))+(-(-(-(-(-(-(-(-(-(((1/48)*(((2*x^15)+(2*x^14)+(2*x^13)+(2*x^12)+(2*x^11)+(2*x^10)+x^9+x^8)-x^5-x^4-(2*x^3)-(2*x^2)-(2*x)-2))/(x^16+1)))))))))))+(-(-(-(-(-(-(-(-(-(((1/30)*(((2*x^15)+(2*x^14)+(2*x^13)+(2*x^12)+(2*x^7)+(2*x^6)+x^5+x^4)-(2*x^3)-(2*x^2)-(2*x)-2))/((((x^16-x^12)+x^8)-x^4)+1)))))))))))+(-(-(-(-(-(-(-(-(((1/2488320)*(((442342*x^7)+(442342*x^6)+(151192*x^5)+(151192*x^4))-(582300*x^3)-(582300*x^2)-(464819*x)-464819))/((x^8-x^4)+1))))))))))+(-(-(-(-(-(-(-(-(((1/1152)*(((38*x^7)+(38*x^6)+(19*x^5)+(19*x^4))-(18*x)-18))/(x^8+1))))))))))+(-(-(-(-(-(-(-(-(((1/600)*(((13*x^7)+(24*x^6)+(14*x^5))-(13*x^4)-(38*x^3)-(51*x^2)-(41*x)-17))/(((x^8+x^7)-x^5-x^4-x^3)+x+1))))))))))+(-(-(-(-(-(-(-(-(((1/300)*(((3*x^7)+(3*x^6))-(3*x^5)-(3*x^4)-(4*x)-4))/((((x^8-x^6)+x^4)-x^2)+1))))))))))+(-(-(-(-(-(-(-(-(((1/600)*(((((((3*x^7)+(2*x^6))-(8*x^5))+(9*x^4))-(6*x^3)-(3*x^2))+(7*x))-7))/((((((x^8-x^7)+x^5)-x^4)+x^3)-x)+1))))))))))+(-(-(-(-(-(-(-(-(((1/597196800)*(((82976631*x^3)+(82976631*x^2))-(67206631*x)-67206631))/((x^4-x^2)+1))))))))))+(-(-(-(-(-(-(-(-(((1/1244160)*((19399*x^3)+(19399*x^2)+(949*x)+949))/(x^4+1))))))))))+(-(-(-(-(-(-(-(-(((1/600)*((((2*x^3)-x^2)+x)-1))/((((x^4-x^3)+x^2)-x)+1))))))))))+(-(-(-(-(-(-(-(-(((1/600)*(x^2+x+1))/(x^4+x^3+x^2+x+1))))))))))+(-(-(-(-(-(-(-(-(((1/1.719926784)*E11*((3.634782608*E9*x)+(3.782566313*E9)))/(x^2+x+1))))))))))+(-(-(-(-(-(-(-(-(((1/1.719926784)*E11*((3.634586768*E9*x)+(3.486998903*E9)))/((x^2-x)+1))))))))))+(-(-(-(-(-(-(-(-(((42227063/398131200)*(x+1))/(x^2+1))))))))))+(-(-(-(-(-(-(-(-(((1/192)*((3*x^13)+(3*x^12)+(6*x^11)+(6*x^10)+(8*x^9)+(8*x^8)+(10*x^7)+(10*x^6)+(8*x^5)+(8*x^4)+(6*x^3)+(6*x^2)+(3*x)+3))/((x^16-x^8)+1)^2)))))))))+(-(-(-(-(-(-(-(((1/138240)*(((5278*x^7)+(5278*x^6)+(3023*x^5)+(3023*x^4))-(4510*x^3)-(4510*x^2)-(4606*x)-4606))/((x^8-x^4)+1)^2))))))))+(-(-(-(-(-(-(-(((1/1152)*(((2*x^7)+(2*x^6)+x^5+x^4)-x-1))/(x^8+1)^2))))))))+(-(-(-(-(-(-(-(((1/119439360)*(((2363400*x^3)+(2363400*x^2))-(1035091*x)-1035091))/((x^4-x^2)+1)^2))))))))+(-(-(-(-(-(-(-(((1/2488320)*((3796*x^3)+(3796*x^2)+(111*x)+111))/(x^4+1)^2))))))))+(-(-(-(-(-(-(-(((1/1.146617856)*E10*((19717422*x)+10595669))/(x^2+x+1)^2))))))))+(-(-(-(-(-(-(-(((1/1.146617856)*E10*((128*x)-28839175))/((x^2-x)+1)^2))))))))+(-(-(-(-(-(-(((72835631/4.7775744)*E9*(x+1))/(x^2+1)^2)))))))+(-(-(-(-(-(-((((2.181899437457*E12)/2.20150628352)*E11)/(x-1))))))))+(-(-(-(-(-(-(((1/69120)*(((288*x^7)+(288*x^6)+(221*x^5)+(221*x^4))-(134*x^3)-(134*x^2)-(205*x)-205))/((x^8-x^4)+1)^3)))))))+(-(-(-(-(-(-(((1/6635520)*((9535*x^3)+(9535*x^2)+(294*x)+294))/((x^4-x^2)+1)^3)))))))+(-(-(-(-(-(-(((1/829440)*((74*x^3)+(74*x^2)+x+1))/(x^4+1)^3)))))))+(-(-(-(-(-(-(((1/1911029760)*((124037*x)+4800))/(x^2+x+1)^3)))))))+(-(-(-(-(-(-(((677194333/1.27401984)*E10)/(x+1)^2)))))))+(-(-(-(-(-(-(((9895/7962624)*(x+1))/(x^2+1)^3)))))))+(-(-(-(-(-(-((((8.22000147551*E11)/2.7518828544)*E12)/(x-1)^2)))))))+(-(-(-(-(-(-(((121637/1911029760)*(x-2))/((x^2-x)+1)^3)))))))+(-(-(-(-(-(((1/11520)*(((2*x^7)+(2*x^6)+(2*x^5)+(2*x^4))-x-1))/((x^8-x^4)+1)^4))))))+(-(-(-(-(-(((1/1105920)*((47*x^3)+(47*x^2)+(49*x)+49))/((x^4-x^2)+1)^4))))))+(-(-(-(-(-(((1/414720)*(x^3+x^2))/(x^4+1)^4))))))+(-(-(-(-(-(((1/318504960)*((895*x)-899))/((x^2-x)+1)^4))))))+(-(-(-(-(((1/318504960)*((305*x)-289))/(x^2+x+1)^4)))))+(-(-(-(-(((1190661481/3.057647616)*E11)/(x+1)^3)))))+(-(-(-(-(((1873/29859840)*(x+1))/(x^2+1)^4)))))+(-(-(-(-((((3.1314666503*E10)/3.057647616)*E11)/(x-1)^3)))))+(-(-(-(-(((1/53084160)*((2*x)-1))/((x^2-x)+1)^5)))))+(-(-(-(304567/1911029760/(x+1)^4))))+(-(-(-(((1/552960)*(x+1))/((x^4-x^2)+1)^5))))+(-(-(-(((37/19906560)*(x+1))/(x^2+1)^5))))+(-(-(-(((1166296121/1.528823808)*E11)/(x-1)^4))))+(-(-(-(1/53084160/(x^2+x+1)^5))))+(-(-(((30643/7.64411904)*E9)/(x+1)^5)))+(-(-(((1/39813120)*(x+1))/(x^2+1)^6)))+(-(-(((2405893/7.64411904)*E9)/(x-1)^5)))+(-(5/84934656/(x+1)^6))+(-(15209/1911029760/(x-1)^6))+(-(((1/2.54803968)*E9)/(x+1)^7))+(-(((299/2.54803968)*E9)/(x-1)^7))+(1/1274019840/(x-1)^8))))))+(((1/5)*((15*x^3)+(4*x^2)+(8*x)+9))/((((x^4-x^3)+x^2)-x)+1))+(-(-(((1/5)*((11*x^3)+(16*x^2)+(15*x)+8))/(x^4+x^3+x^2+x+1))))+(-(-(((1/2)*((2*x^3)+(2*x^2)+x))/(x^4+x^3+x^2+x+1)^2)))+(-(-(((1/2)*(((2*x^2)-x)+2))/((((x^4-x^3)+x^2)-x)+1)^2)))+(-(1/2/(x+1)))+(-(33/10/(x-1)))+(9/20/(x-1)^2))
A257890 = ((((((-(1*x^2))+(2*x))-1)/(((9.91093895025523*x^2)-(19.82187790051046*x))+9.91093895025523))*differential((A001364+(-((-(((1/30)*(((268*x^31)+(268*x^30)+(268*x^29)+(268*x^28)+(536*x^27)+(536*x^26)+(530*x^25)+(530*x^24)+(524*x^23)+(524*x^22)+(507*x^21)+(507*x^20)+(222*x^19)+(222*x^18)+(194*x^17)+(194*x^16))-(102*x^15)-(102*x^14)-(134*x^13)-(134*x^12)-(434*x^11)-(434*x^10)-(462*x^9)-(462*x^8)-(490*x^7)-(490*x^6)-(507*x^5)-(507*x^4)-(256*x^3)-(256*x^2)-(262*x)-262))/(((x^32+x^28)-x^20-x^16-x^12)+x^4+1)))+(-(-(-(-(-(-(-(-(-(-(((1/48)*(((74*x^31)+(74*x^30)+(56*x^29)+(56*x^28)+(38*x^27)+(38*x^26)+(19*x^25)+(19*x^24))-(19*x^21)-(19*x^20)-(38*x^19)-(38*x^18)-(56*x^17)-(56*x^16)-(148*x^15)-(148*x^14)-(145*x^13)-(145*x^12)-(142*x^11)-(142*x^10)-(134*x^9)-(134*x^8)-(126*x^7)-(126*x^6)-(115*x^5)-(115*x^4)-(104*x^3)-(104*x^2)-(89*x)-89))/((x^32-x^16)+1))))))))))))+(-(-(-(-(-(-(-(-(-(-(((1/1152)*(((254*x^15)+(254*x^14)+(424*x^13)+(424*x^12)+(594*x^11)+(594*x^10)+(657*x^9)+(657*x^8)+(466*x^7)+(466*x^6)+(287*x^5)+(287*x^4)+(108*x^3)+(108*x^2))-(73*x)-73))/((x^16-x^8)+1))))))))))))+(-(-(-(-(-(-(-(-(-(((1/300)*(((24*x^15)+(24*x^14)+(24*x^13)+(24*x^12))-(24*x^11)-(24*x^10)-(92*x^9)-(92*x^8)-(133*x^7)-(133*x^6)-(146*x^5)-(146*x^4)-(109*x^3)-(109*x^2)-(44*x)-44))/(((x^16+x^14)-x^10-x^8-x^6)+x^2+1)))))))))))+(-(-(-(-(-(-(-(-(-(((1/48)*(((2*x^15)+(2*x^14)+(2*x^13)+(2*x^12)+(2*x^11)+(2*x^10)+x^9+x^8)-x^5-x^4-(2*x^3)-(2*x^2)-(2*x)-2))/(x^16+1)))))))))))+(-(-(-(-(-(-(-(-(-(((1/30)*(((2*x^15)+(2*x^14)+(2*x^13)+(2*x^12)+(2*x^7)+(2*x^6)+x^5+x^4)-(2*x^3)-(2*x^2)-(2*x)-2))/((((x^16-x^12)+x^8)-x^4)+1)))))))))))+(-(-(-(-(-(-(-(-(((1/2488320)*(((442342*x^7)+(442342*x^6)+(151192*x^5)+(151192*x^4))-(582300*x^3)-(582300*x^2)-(464819*x)-464819))/((x^8-x^4)+1))))))))))+(-(-(-(-(-(-(-(-(((1/1152)*(((38*x^7)+(38*x^6)+(19*x^5)+(19*x^4))-(18*x)-18))/(x^8+1))))))))))+(-(-(-(-(-(-(-(-(((1/600)*(((13*x^7)+(24*x^6)+(14*x^5))-(13*x^4)-(38*x^3)-(51*x^2)-(41*x)-17))/(((x^8+x^7)-x^5-x^4-x^3)+x+1))))))))))+(-(-(-(-(-(-(-(-(((1/300)*(((3*x^7)+(3*x^6))-(3*x^5)-(3*x^4)-(4*x)-4))/((((x^8-x^6)+x^4)-x^2)+1))))))))))+(-(-(-(-(-(-(-(-(((1/600)*(((((((3*x^7)+(2*x^6))-(8*x^5))+(9*x^4))-(6*x^3)-(3*x^2))+(7*x))-7))/((((((x^8-x^7)+x^5)-x^4)+x^3)-x)+1))))))))))+(-(-(-(-(-(-(-(-(((1/597196800)*(((82976631*x^3)+(82976631*x^2))-(67206631*x)-67206631))/((x^4-x^2)+1))))))))))+(-(-(-(-(-(-(-(-(((1/1244160)*((19399*x^3)+(19399*x^2)+(949*x)+949))/(x^4+1))))))))))+(-(-(-(-(-(-(-(-(((1/600)*((((2*x^3)-x^2)+x)-1))/((((x^4-x^3)+x^2)-x)+1))))))))))+(-(-(-(-(-(-(-(-(((1/600)*(x^2+x+1))/(x^4+x^3+x^2+x+1))))))))))+(-(-(-(-(-(-(-(-(((1/1.719926784)*E11*((3.634782608*E9*x)+(3.782566313*E9)))/(x^2+x+1))))))))))+(-(-(-(-(-(-(-(-(((1/1.719926784)*E11*((3.634586768*E9*x)+(3.486998903*E9)))/((x^2-x)+1))))))))))+(-(-(-(-(-(-(-(-(((42227063/398131200)*(x+1))/(x^2+1))))))))))+(-(-(-(-(-(-(-(-(((1/192)*((3*x^13)+(3*x^12)+(6*x^11)+(6*x^10)+(8*x^9)+(8*x^8)+(10*x^7)+(10*x^6)+(8*x^5)+(8*x^4)+(6*x^3)+(6*x^2)+(3*x)+3))/((x^16-x^8)+1)^2)))))))))+(-(-(-(-(-(-(-(((1/138240)*(((5278*x^7)+(5278*x^6)+(3023*x^5)+(3023*x^4))-(4510*x^3)-(4510*x^2)-(4606*x)-4606))/((x^8-x^4)+1)^2))))))))+(-(-(-(-(-(-(-(((1/1152)*(((2*x^7)+(2*x^6)+x^5+x^4)-x-1))/(x^8+1)^2))))))))+(-(-(-(-(-(-(-(((1/119439360)*(((2363400*x^3)+(2363400*x^2))-(1035091*x)-1035091))/((x^4-x^2)+1)^2))))))))+(-(-(-(-(-(-(-(((1/2488320)*((3796*x^3)+(3796*x^2)+(111*x)+111))/(x^4+1)^2))))))))+(-(-(-(-(-(-(-(((1/1.146617856)*E10*((19717422*x)+10595669))/(x^2+x+1)^2))))))))+(-(-(-(-(-(-(-(((1/1.146617856)*E10*((128*x)-28839175))/((x^2-x)+1)^2))))))))+(-(-(-(-(-(-((((9.68274123479*E11)/5.5037657088)*E12)/(x+1))))))))+(-(-(-(-(-(-(((72835631/4.7775744)*E9*(x+1))/(x^2+1)^2)))))))+(-(-(-(-(-(-(((1/69120)*(((288*x^7)+(288*x^6)+(221*x^5)+(221*x^4))-(134*x^3)-(134*x^2)-(205*x)-205))/((x^8-x^4)+1)^3)))))))+(-(-(-(-(-(-(((1/6635520)*((9535*x^3)+(9535*x^2)+(294*x)+294))/((x^4-x^2)+1)^3)))))))+(-(-(-(-(-(-(((1/829440)*((74*x^3)+(74*x^2)+x+1))/(x^4+1)^3)))))))+(-(-(-(-(-(-(((1/1911029760)*((124037*x)+4800))/(x^2+x+1)^3)))))))+(-(-(-(-(-(-(((677194333/1.27401984)*E10)/(x+1)^2)))))))+(-(-(-(-(-(-(((9895/7962624)*(x+1))/(x^2+1)^3)))))))+(-(-(-(-(-(-((((8.22000147551*E11)/2.7518828544)*E12)/(x-1)^2)))))))+(-(-(-(-(-(-(((121637/1911029760)*(x-2))/((x^2-x)+1)^3)))))))+(-(-(-(-(-(((1/11520)*(((2*x^7)+(2*x^6)+(2*x^5)+(2*x^4))-x-1))/((x^8-x^4)+1)^4))))))+(-(-(-(-(-(((1/1105920)*((47*x^3)+(47*x^2)+(49*x)+49))/((x^4-x^2)+1)^4))))))+(-(-(-(-(-(((1/414720)*(x^3+x^2))/(x^4+1)^4))))))+(-(-(-(-(-(((1/318504960)*((895*x)-899))/((x^2-x)+1)^4))))))+(-(-(-(-(((1/318504960)*((305*x)-289))/(x^2+x+1)^4)))))+(-(-(-(-(((1190661481/3.057647616)*E11)/(x+1)^3)))))+(-(-(-(-(((1873/29859840)*(x+1))/(x^2+1)^4)))))+(-(-(-(-((((3.1314666503*E10)/3.057647616)*E11)/(x-1)^3)))))+(-(-(-(-(((1/53084160)*((2*x)-1))/((x^2-x)+1)^5)))))+(-(-(-(304567/1911029760/(x+1)^4))))+(-(-(-(((1/552960)*(x+1))/((x^4-x^2)+1)^5))))+(-(-(-(((37/19906560)*(x+1))/(x^2+1)^5))))+(-(-(-(((1166296121/1.528823808)*E11)/(x-1)^4))))+(-(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A257850 = (((((-(1*x^2))-(2*x)-1)/((1.06308286847401*x^2)+(2.12616573694802*x)+1.06308286847401))*(A001364+(-((-(((1/30)*(((268*x^31)+(268*x^30)+(268*x^29)+(268*x^28)+(536*x^27)+(536*x^26)+(530*x^25)+(530*x^24)+(524*x^23)+(524*x^22)+(507*x^21)+(507*x^20)+(222*x^19)+(222*x^18)+(194*x^17)+(194*x^16))-(102*x^15)-(102*x^14)-(134*x^13)-(134*x^12)-(434*x^11)-(434*x^10)-(462*x^9)-(462*x^8)-(490*x^7)-(490*x^6)-(507*x^5)-(507*x^4)-(256*x^3)-(256*x^2)-(262*x)-262))/(((x^32+x^28)-x^20-x^16-x^12)+x^4+1)))+(-(-(-(-(-(-(-(-(-(-(((1/48)*(((74*x^31)+(74*x^30)+(56*x^29)+(56*x^28)+(38*x^27)+(38*x^26)+(19*x^25)+(19*x^24))-(19*x^21)-(19*x^20)-(38*x^19)-(38*x^18)-(56*x^17)-(56*x^16)-(148*x^15)-(148*x^14)-(145*x^13)-(145*x^12)-(142*x^11)-(142*x^10)-(134*x^9)-(134*x^8)-(126*x^7)-(126*x^6)-(115*x^5)-(115*x^4)-(104*x^3)-(104*x^2)-(89*x)-89))/((x^32-x^16)+1))))))))))))+(-(-(-(-(-(-(-(-(-(-(((1/1152)*(((254*x^15)+(254*x^14)+(424*x^13)+(424*x^12)+(594*x^11)+(594*x^10)+(657*x^9)+(657*x^8)+(466*x^7)+(466*x^6)+(287*x^5)+(287*x^4)+(108*x^3)+(108*x^2))-(73*x)-73))/((x^16-x^8)+1))))))))))))+(-(-(-(-(-(-(-(-(-(((1/300)*(((24*x^15)+(24*x^14)+(24*x^13)+(24*x^12))-(24*x^11)-(24*x^10)-(92*x^9)-(92*x^8)-(133*x^7)-(133*x^6)-(146*x^5)-(146*x^4)-(109*x^3)-(109*x^2)-(44*x)-44))/(((x^16+x^14)-x^10-x^8-x^6)+x^2+1)))))))))))+(-(-(-(-(-(-(-(-(-(((1/48)*(((2*x^15)+(2*x^14)+(2*x^13)+(2*x^12)+(2*x^11)+(2*x^10)+x^9+x^8)-x^5-x^4-(2*x^3)-(2*x^2)-(2*x)-2))/(x^16+1)))))))))))+(-(-(-(-(-(-(-(-(-(((1/30)*(((2*x^15)+(2*x^14)+(2*x^13)+(2*x^12)+(2*x^7)+(2*x^6)+x^5+x^4)-(2*x^3)-(2*x^2)-(2*x)-2))/((((x^16-x^12)+x^8)-x^4)+1)))))))))))+(-(-(-(-(-(-(-(-(((1/2488320)*(((442342*x^7)+(442342*x^6)+(151192*x^5)+(151192*x^4))-(582300*x^3)-(582300*x^2)-(464819*x)-464819))/((x^8-x^4)+1))))))))))+(-(-(-(-(-(-(-(-(((1/1152)*(((38*x^7)+(38*x^6)+(19*x^5)+(19*x^4))-(18*x)-18))/(x^8+1))))))))))+(-(-(-(-(-(-(-(-(((1/600)*(((13*x^7)+(24*x^6)+(14*x^5))-(13*x^4)-(38*x^3)-(51*x^2)-(41*x)-17))/(((x^8+x^7)-x^5-x^4-x^3)+x+1))))))))))+(-(-(-(-(-(-(-(-(((1/300)*(((3*x^7)+(3*x^6))-(3*x^5)-(3*x^4)-(4*x)-4))/((((x^8-x^6)+x^4)-x^2)+1))))))))))+(-(-(-(-(-(-(-(-(((1/600)*(((((((3*x^7)+(2*x^6))-(8*x^5))+(9*x^4))-(6*x^3)-(3*x^2))+(7*x))-7))/((((((x^8-x^7)+x^5)-x^4)+x^3)-x)+1))))))))))+(-(-(-(-(-(-(-(-(((1/597196800)*(((82976631*x^3)+(82976631*x^2))-(67206631*x)-67206631))/((x^4-x^2)+1))))))))))+(-(-(-(-(-(-(-(-(((1/1244160)*((19399*x^3)+(19399*x^2)+(949*x)+949))/(x^4+1))))))))))+(-(-(-(-(-(-(-(-(((1/600)*((((2*x^3)-x^2)+x)-1))/((((x^4-x^3)+x^2)-x)+1))))))))))+(-(-(-(-(-(-(-(-(((1/600)*(x^2+x+1))/(x^4+x^3+x^2+x+1))))))))))+(-(-(-(-(-(-(-(-(((1/1.719926784)*E11*((3.634782608*E9*x)+(3.782566313*E9)))/(x^2+x+1))))))))))+(-(-(-(-(-(-(-(-(((1/1.719926784)*E11*((3.634586768*E9*x)+(3.486998903*E9)))/((x^2-x)+1))))))))))+(-(-(-(-(-(-(-(-(((42227063/398131200)*(x+1))/(x^2+1))))))))))+(-(-(-(-(-(-(-(-(((1/192)*((3*x^13)+(3*x^12)+(6*x^11)+(6*x^10)+(8*x^9)+(8*x^8)+(10*x^7)+(10*x^6)+(8*x^5)+(8*x^4)+(6*x^3)+(6*x^2)+(3*x)+3))/((x^16-x^8)+1)^2)))))))))+(-(-(-(-(-(-(-(((1/138240)*(((5278*x^7)+(5278*x^6)+(3023*x^5)+(3023*x^4))-(4510*x^3)-(4510*x^2)-(4606*x)-4606))/((x^8-x^4)+1)^2))))))))+(-(-(-(-(-(-(-(((1/1152)*(((2*x^7)+(2*x^6)+x^5+x^4)-x-1))/(x^8+1)^2))))))))+(-(-(-(-(-(-(-(((1/119439360)*(((2363400*x^3)+(2363400*x^2))-(1035091*x)-1035091))/((x^4-x^2)+1)^2))))))))+(-(-(-(-(-(-(-(((1/2488320)*((3796*x^3)+(3796*x^2)+(111*x)+111))/(x^4+1)^2))))))))+(-(-(-(-(-(-(-(((1/1.146617856)*E10*((19717422*x)+10595669))/(x^2+x+1)^2))))))))+(-(-(-(-(-(-(-(((1/1.146617856)*E10*((128*x)-28839175))/((x^2-x)+1)^2))))))))+(-(-(-(-(-(-((((9.68274123479*E11)/5.5037657088)*E12)/(x+1))))))))+(-(-(-(-(-(-(((72835631/4.7775744)*E9*(x+1))/(x^2+1)^2)))))))+(-(-(-(-(-(-((((2.181899437457*E12)/2.20150628352)*E11)/(x-1))))))))+(-(-(-(-(-(-(((1/69120)*(((288*x^7)+(288*x^6)+(221*x^5)+(221*x^4))-(134*x^3)-(134*x^2)-(205*x)-205))/((x^8-x^4)+1)^3)))))))+(-(-(-(-(-(-(((1/6635520)*((9535*x^3)+(9535*x^2)+(294*x)+294))/((x^4-x^2)+1)^3)))))))+(-(-(-(-(-(-(((1/829440)*((74*x^3)+(74*x^2)+x+1))/(x^4+1)^3)))))))+(-(-(-(-(-(-(((1/1911029760)*((124037*x)+4800))/(x^2+x+1)^3)))))))+(-(-(-(-(-(-(((9895/7962624)*(x+1))/(x^2+1)^3)))))))+(-(-(-(-(-(-((((8.22000147551*E11)/2.7518828544)*E12)/(x-1)^2)))))))+(-(-(-(-(-(-(((121637/1911029760)*(x-2))/((x^2-x)+1)^3)))))))+(-(-(-(-(-(((1/11520)*(((2*x^7)+(2*x^6)+(2*x^5)+(2*x^4))-x-1))/((x^8-x^4)+1)^4))))))+(-(-(-(-(-(((1/1105920)*((47*x^3)+(47*x^2)+(49*x)+49))/((x^4-x^2)+1)^4))))))+(-(-(-(-(-(((1/414720)*(x^3+x^2))/(x^4+1)^4))))))+(-(-(-(-(-(((1/318504960)*((895*x)-899))/((x^2-x)+1)^4))))))+(-(-(-(-(((1/318504960)*((305*x)-289))/(x^2+x+1)^4)))))+(-(-(-(-(((1190661481/3.057647616)*E11)/(x+1)^3)))))+(-(-(-(-(((1873/29859840)*(x+1))/(x^2+1)^4)))))+(-(-(-(-((((3.1314666503*E10)/3.057647616)*E11)/(x-1)^3)))))+(-(-(-(-(((1/53084160)*((2*x)-1))/((x^2-x)+1)^5)))))+(-(-(-(304567/1911029760/(x+1)^4))))+(-(-(-(((1/552960)*(x+1))/((x^4-x^2)+1)^5))))+(-(-(-(((37/19906560)*(x+1))/(x^2+1)^5))))+(-(-(-(((1166296121/1.528823808)*E11)/(x-1)^4))))+(-(-(-(1/53084160/(x^2+x+1)^5))))+(-(-(((30643/7.64411904)*E9)/(x+1)^5)))+(-(-(((1/39813120)*(x+1))/(x^2+1)^6)))+(-(-(((2405893/7.64411904)*E9)/(x-1)^5)))+(-(5/84934656/(x+1)^6))+(-(15209/1911029760/(x-1)^6))+(-(((1/2.54803968)*E9)/(x+1)^7))+(-(((299/2.54803968)*E9)/(x-1)^7))+(1/1274019840/(x-1)^8)))))+(((1/5)*((15*x^3)+(4*x^2)+(8*x)+9))/((((x^4-x^3)+x^2)-x)+1))+(-(-(((1/5)*((11*x^3)+(16*x^2)+(15*x)+8))/(x^4+x^3+x^2+x+1))))+(-(-(((1/2)*((2*x^3)+(2*x^2)+x))/(x^4+x^3+x^2+x+1)^2)))+(-(-(((1/2)*(((2*x^2)-x)+2))/((((x^4-x^3)+x^2)-x)+1)^2)))+(-(1/2/(x+1)))+(-(33/10/(x-1)))+(9/20/(x-1)^2))
A257171 = ((((x^3+(3*x^2)+(3*x)+1)/((0.850466294779208*x^3)+(2.551398884337624*x^2)+(2.551398884337624*x)+0.850466294779208))*differential((A001364+(-((-(((1/30)*(((268*x^31)+(268*x^30)+(268*x^29)+(268*x^28)+(536*x^27)+(536*x^26)+(530*x^25)+(530*x^24)+(524*x^23)+(524*x^22)+(507*x^21)+(507*x^20)+(222*x^19)+(222*x^18)+(194*x^17)+(194*x^16))-(102*x^15)-(102*x^14)-(134*x^13)-(134*x^12)-(434*x^11)-(434*x^10)-(462*x^9)-(462*x^8)-(490*x^7)-(490*x^6)-(507*x^5)-(507*x^4)-(256*x^3)-(256*x^2)-(262*x)-262))/(((x^32+x^28)-x^20-x^16-x^12)+x^4+1)))+(-(-(-(-(-(-(-(-(-(-(((1/48)*(((74*x^31)+(74*x^30)+(56*x^29)+(56*x^28)+(38*x^27)+(38*x^26)+(19*x^25)+(19*x^24))-(19*x^21)-(19*x^20)-(38*x^19)-(38*x^18)-(56*x^17)-(56*x^16)-(148*x^15)-(148*x^14)-(145*x^13)-(145*x^12)-(142*x^11)-(142*x^10)-(134*x^9)-(134*x^8)-(126*x^7)-(126*x^6)-(115*x^5)-(115*x^4)-(104*x^3)-(104*x^2)-(89*x)-89))/((x^32-x^16)+1))))))))))))+(-(-(-(-(-(-(-(-(-(-(((1/1152)*(((254*x^15)+(254*x^14)+(424*x^13)+(424*x^12)+(594*x^11)+(594*x^10)+(657*x^9)+(657*x^8)+(466*x^7)+(466*x^6)+(287*x^5)+(287*x^4)+(108*x^3)+(108*x^2))-(73*x)-73))/((x^16-x^8)+1))))))))))))+(-(-(-(-(-(-(-(-(-(((1/300)*(((24*x^15)+(24*x^14)+(24*x^13)+(24*x^12))-(24*x^11)-(24*x^10)-(92*x^9)-(92*x^8)-(133*x^7)-(133*x^6)-(146*x^5)-(146*x^4)-(109*x^3)-(109*x^2)-(44*x)-44))/(((x^16+x^14)-x^10-x^8-x^6)+x^2+1)))))))))))+(-(-(-(-(-(-(-(-(-(((1/48)*(((2*x^15)+(2*x^14)+(2*x^13)+(2*x^12)+(2*x^11)+(2*x^10)+x^9+x^8)-x^5-x^4-(2*x^3)-(2*x^2)-(2*x)-2))/(x^16+1)))))))))))+(-(-(-(-(-(-(-(-(-(((1/30)*(((2*x^15)+(2*x^14)+(2*x^13)+(2*x^12)+(2*x^7)+(2*x^6)+x^5+x^4)-(2*x^3)-(2*x^2)-(2*x)-2))/((((x^16-x^12)+x^8)-x^4)+1)))))))))))+(-(-(-(-(-(-(-(-(((1/2488320)*(((442342*x^7)+(442342*x^6)+(151192*x^5)+(151192*x^4))-(582300*x^3)-(582300*x^2)-(464819*x)-464819))/((x^8-x^4)+1))))))))))+(-(-(-(-(-(-(-(-(((1/1152)*(((38*x^7)+(38*x^6)+(19*x^5)+(19*x^4))-(18*x)-18))/(x^8+1))))))))))+(-(-(-(-(-(-(-(-(((1/600)*(((13*x^7)+(24*x^6)+(14*x^5))-(13*x^4)-(38*x^3)-(51*x^2)-(41*x)-17))/(((x^8+x^7)-x^5-x^4-x^3)+x+1))))))))))+(-(-(-(-(-(-(-(-(((1/300)*(((3*x^7)+(3*x^6))-(3*x^5)-(3*x^4)-(4*x)-4))/((((x^8-x^6)+x^4)-x^2)+1))))))))))+(-(-(-(-(-(-(-(-(((1/600)*(((((((3*x^7)+(2*x^6))-(8*x^5))+(9*x^4))-(6*x^3)-(3*x^2))+(7*x))-7))/((((((x^8-x^7)+x^5)-x^4)+x^3)-x)+1))))))))))+(-(-(-(-(-(-(-(-(((1/597196800)*(((82976631*x^3)+(82976631*x^2))-(67206631*x)-67206631))/((x^4-x^2)+1))))))))))+(-(-(-(-(-(-(-(-(((1/1244160)*((19399*x^3)+(19399*x^2)+(949*x)+949))/(x^4+1))))))))))+(-(-(-(-(-(-(-(-(((1/600)*((((2*x^3)-x^2)+x)-1))/((((x^4-x^3)+x^2)-x)+1))))))))))+(-(-(-(-(-(-(-(-(((1/600)*(x^2+x+1))/(x^4+x^3+x^2+x+1))))))))))+(-(-(-(-(-(-(-(-(((1/1.719926784)*E11*((3.634782608*E9*x)+(3.782566313*E9)))/(x^2+x+1))))))))))+(-(-(-(-(-(-(-(-(((1/1.719926784)*E11*((3.634586768*E9*x)+(3.486998903*E9)))/((x^2-x)+1))))))))))+(-(-(-(-(-(-(-(-(((42227063/398131200)*(x+1))/(x^2+1))))))))))+(-(-(-(-(-(-(-(-(((1/192)*((3*x^13)+(3*x^12)+(6*x^11)+(6*x^10)+(8*x^9)+(8*x^8)+(10*x^7)+(10*x^6)+(8*x^5)+(8*x^4)+(6*x^3)+(6*x^2)+(3*x)+3))/((x^16-x^8)+1)^2)))))))))+(-(-(-(-(-(-(-(((1/138240)*(((5278*x^7)+(5278*x^6)+(3023*x^5)+(3023*x^4))-(4510*x^3)-(4510*x^2)-(4606*x)-4606))/((x^8-x^4)+1)^2))))))))+(-(-(-(-(-(-(-(((1/1152)*(((2*x^7)+(2*x^6)+x^5+x^4)-x-1))/(x^8+1)^2))))))))+(-(-(-(-(-(-(-(((1/119439360)*(((2363400*x^3)+(2363400*x^2))-(1035091*x)-1035091))/((x^4-x^2)+1)^2))))))))+(-(-(-(-(-(-(-(((1/2488320)*((3796*x^3)+(3796*x^2)+(111*x)+111))/(x^4+1)^2))))))))+(-(-(-(-(-(-(-(((1/1.146617856)*E10*((19717422*x)+10595669))/(x^2+x+1)^2))))))))+(-(-(-(-(-(-(-(((1/1.146617856)*E10*((128*x)-28839175))/((x^2-x)+1)^2))))))))+(-(-(-(-(-(-((((9.68274123479*E11)/5.5037657088)*E12)/(x+1))))))))+(-(-(-(-(-(-(((72835631/4.7775744)*E9*(x+1))/(x^2+1)^2)))))))+(-(-(-(-(-(-((((2.181899437457*E12)/2.20150628352)*E11)/(x-1))))))))+(-(-(-(-(-(-(((1/69120)*(((288*x^7)+(288*x^6)+(221*x^5)+(221*x^4))-(134*x^3)-(134*x^2)-(205*x)-205))/((x^8-x^4)+1)^3)))))))+(-(-(-(-(-(-(((1/6635520)*((9535*x^3)+(9535*x^2)+(294*x)+294))/((x^4-x^2)+1)^3)))))))+(-(-(-(-(-(-(((1/829440)*((74*x^3)+(74*x^2)+x+1))/(x^4+1)^3)))))))+(-(-(-(-(-(-(((1/1911029760)*((124037*x)+4800))/(x^2+x+1)^3)))))))+(-(-(-(-(-(-(((9895/7962624)*(x+1))/(x^2+1)^3)))))))+(-(-(-(-(-(-((((8.22000147551*E11)/2.7518828544)*E12)/(x-1)^2)))))))+(-(-(-(-(-(-(((121637/1911029760)*(x-2))/((x^2-x)+1)^3)))))))+(-(-(-(-(-(((1/11520)*(((2*x^7)+(2*x^6)+(2*x^5)+(2*x^4))-x-1))/((x^8-x^4)+1)^4))))))+(-(-(-(-(-(((1/1105920)*((47*x^3)+(47*x^2)+(49*x)+49))/((x^4-x^2)+1)^4))))))+(-(-(-(-(-(((1/414720)*(x^3+x^2))/(x^4+1)^4))))))+(-(-(-(-(-(((1/318504960)*((895*x)-899))/((x^2-x)+1)^4))))))+(-(-(-(-(((1/318504960)*((305*x)-289))/(x^2+x+1)^4)))))+(-(-(-(-(((1190661481/3.057647616)*E11)/(x+1)^3)))))+(-(-(-(-(((1873/29859840)*(x+1))/(x^2+1)^4)))))+(-(-(-(-((((3.1314666503*E10)/3.057647616)*E11)/(x-1)^3)))))+(-(-(-(-(((1/53084160)*((2*x)-1))/((x^2-x)+1)^5)))))+(-(-(-(304567/1911029760/(x+1)^4))))+(-(-(-(((1/552960)*(x+1))/((x^4-x^2)+1)^5))))+(-(-(-(((37/19906560)*(x+1))/(x^2+1)^5))))+(-(-(-(((116629612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A257890 = 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A257464 = (((-((7*((((-(1*x^3))+(3*x^2))-(3*x))+1))/((((14.33782220030246*x^3)-(43.01346660090739*x^2))+(43.01346660090739*x))-14.33782220030246)))*differential((A001364+(-((-(((1/30)*(((268*x^31)+(268*x^30)+(268*x^29)+(268*x^28)+(536*x^27)+(536*x^26)+(530*x^25)+(530*x^24)+(524*x^23)+(524*x^22)+(507*x^21)+(507*x^20)+(222*x^19)+(222*x^18)+(194*x^17)+(194*x^16))-(102*x^15)-(102*x^14)-(134*x^13)-(134*x^12)-(434*x^11)-(434*x^10)-(462*x^9)-(462*x^8)-(490*x^7)-(490*x^6)-(507*x^5)-(507*x^4)-(256*x^3)-(256*x^2)-(262*x)-262))/(((x^32+x^28)-x^20-x^16-x^12)+x^4+1)))+(-(-(-(-(-(-(-(-(-(-(((1/48)*(((74*x^31)+(74*x^30)+(56*x^29)+(56*x^28)+(38*x^27)+(38*x^26)+(19*x^25)+(19*x^24))-(19*x^21)-(19*x^20)-(38*x^19)-(38*x^18)-(56*x^17)-(56*x^16)-(148*x^15)-(148*x^14)-(145*x^13)-(145*x^12)-(142*x^11)-(142*x^10)-(134*x^9)-(134*x^8)-(126*x^7)-(126*x^6)-(115*x^5)-(115*x^4)-(104*x^3)-(104*x^2)-(89*x)-89))/((x^32-x^16)+1))))))))))))+(-(-(-(-(-(-(-(-(-(-(((1/1152)*(((254*x^15)+(254*x^14)+(424*x^13)+(424*x^12)+(594*x^11)+(594*x^10)+(657*x^9)+(657*x^8)+(466*x^7)+(466*x^6)+(287*x^5)+(287*x^4)+(108*x^3)+(108*x^2))-(73*x)-73))/((x^16-x^8)+1))))))))))))+(-(-(-(-(-(-(-(-(-(((1/300)*(((24*x^15)+(24*x^14)+(24*x^13)+(24*x^12))-(24*x^11)-(24*x^10)-(92*x^9)-(92*x^8)-(133*x^7)-(133*x^6)-(146*x^5)-(146*x^4)-(109*x^3)-(109*x^2)-(44*x)-44))/(((x^16+x^14)-x^10-x^8-x^6)+x^2+1)))))))))))+(-(-(-(-(-(-(-(-(-(((1/48)*(((2*x^15)+(2*x^14)+(2*x^13)+(2*x^12)+(2*x^11)+(2*x^10)+x^9+x^8)-x^5-x^4-(2*x^3)-(2*x^2)-(2*x)-2))/(x^16+1)))))))))))+(-(-(-(-(-(-(-(-(-(((1/30)*(((2*x^15)+(2*x^14)+(2*x^13)+(2*x^12)+(2*x^7)+(2*x^6)+x^5+x^4)-(2*x^3)-(2*x^2)-(2*x)-2))/((((x^16-x^12)+x^8)-x^4)+1)))))))))))+(-(-(-(-(-(-(-(-(((1/2488320)*(((442342*x^7)+(442342*x^6)+(151192*x^5)+(151192*x^4))-(582300*x^3)-(582300*x^2)-(464819*x)-464819))/((x^8-x^4)+1))))))))))+(-(-(-(-(-(-(-(-(((1/1152)*(((38*x^7)+(38*x^6)+(19*x^5)+(19*x^4))-(18*x)-18))/(x^8+1))))))))))+(-(-(-(-(-(-(-(-(((1/600)*(((13*x^7)+(24*x^6)+(14*x^5))-(13*x^4)-(38*x^3)-(51*x^2)-(41*x)-17))/(((x^8+x^7)-x^5-x^4-x^3)+x+1))))))))))+(-(-(-(-(-(-(-(-(((1/300)*(((3*x^7)+(3*x^6))-(3*x^5)-(3*x^4)-(4*x)-4))/((((x^8-x^6)+x^4)-x^2)+1))))))))))+(-(-(-(-(-(-(-(-(((1/600)*(((((((3*x^7)+(2*x^6))-(8*x^5))+(9*x^4))-(6*x^3)-(3*x^2))+(7*x))-7))/((((((x^8-x^7)+x^5)-x^4)+x^3)-x)+1))))))))))+(-(-(-(-(-(-(-(-(((1/597196800)*(((82976631*x^3)+(82976631*x^2))-(67206631*x)-67206631))/((x^4-x^2)+1))))))))))+(-(-(-(-(-(-(-(-(((1/1244160)*((19399*x^3)+(19399*x^2)+(949*x)+949))/(x^4+1))))))))))+(-(-(-(-(-(-(-(-(((1/600)*((((2*x^3)-x^2)+x)-1))/((((x^4-x^3)+x^2)-x)+1))))))))))+(-(-(-(-(-(-(-(-(((1/600)*(x^2+x+1))/(x^4+x^3+x^2+x+1))))))))))+(-(-(-(-(-(-(-(-(((1/1.719926784)*E11*((3.634782608*E9*x)+(3.782566313*E9)))/(x^2+x+1))))))))))+(-(-(-(-(-(-(-(-(((1/1.719926784)*E11*((3.634586768*E9*x)+(3.486998903*E9)))/((x^2-x)+1))))))))))+(-(-(-(-(-(-(-(-(((42227063/398131200)*(x+1))/(x^2+1))))))))))+(-(-(-(-(-(-(-(-(((1/192)*((3*x^13)+(3*x^12)+(6*x^11)+(6*x^10)+(8*x^9)+(8*x^8)+(10*x^7)+(10*x^6)+(8*x^5)+(8*x^4)+(6*x^3)+(6*x^2)+(3*x)+3))/((x^16-x^8)+1)^2)))))))))+(-(-(-(-(-(-(-(((1/138240)*(((5278*x^7)+(5278*x^6)+(3023*x^5)+(3023*x^4))-(4510*x^3)-(4510*x^2)-(4606*x)-4606))/((x^8-x^4)+1)^2))))))))+(-(-(-(-(-(-(-(((1/1152)*(((2*x^7)+(2*x^6)+x^5+x^4)-x-1))/(x^8+1)^2))))))))+(-(-(-(-(-(-(-(((1/119439360)*(((2363400*x^3)+(2363400*x^2))-(1035091*x)-1035091))/((x^4-x^2)+1)^2))))))))+(-(-(-(-(-(-(-(((1/2488320)*((3796*x^3)+(3796*x^2)+(111*x)+111))/(x^4+1)^2))))))))+(-(-(-(-(-(-(-(((1/1.146617856)*E10*((19717422*x)+10595669))/(x^2+x+1)^2))))))))+(-(-(-(-(-(-(-(((1/1.146617856)*E10*((128*x)-28839175))/((x^2-x)+1)^2))))))))+(-(-(-(-(-(-((((9.68274123479*E11)/5.5037657088)*E12)/(x+1))))))))+(-(-(-(-(-(-(((72835631/4.7775744)*E9*(x+1))/(x^2+1)^2)))))))+(-(-(-(-(-(-((((2.181899437457*E12)/2.20150628352)*E11)/(x-1))))))))+(-(-(-(-(-(-(((1/69120)*(((288*x^7)+(288*x^6)+(221*x^5)+(221*x^4))-(134*x^3)-(134*x^2)-(205*x)-205))/((x^8-x^4)+1)^3)))))))+(-(-(-(-(-(-(((1/6635520)*((9535*x^3)+(9535*x^2)+(294*x)+294))/((x^4-x^2)+1)^3)))))))+(-(-(-(-(-(-(((1/829440)*((74*x^3)+(74*x^2)+x+1))/(x^4+1)^3)))))))+(-(-(-(-(-(-(((1/1911029760)*((124037*x)+4800))/(x^2+x+1)^3)))))))+(-(-(-(-(-(-(((677194333/1.27401984)*E10)/(x+1)^2)))))))+(-(-(-(-(-(-(((9895/7962624)*(x+1))/(x^2+1)^3)))))))+(-(-(-(-(-(-(((121637/1911029760)*(x-2))/((x^2-x)+1)^3)))))))+(-(-(-(-(-(((1/11520)*(((2*x^7)+(2*x^6)+(2*x^5)+(2*x^4))-x-1))/((x^8-x^4)+1)^4))))))+(-(-(-(-(-(((1/1105920)*((47*x^3)+(47*x^2)+(49*x)+49))/((x^4-x^2)+1)^4))))))+(-(-(-(-(-(((1/414720)*(x^3+x^2))/(x^4+1)^4))))))+(-(-(-(-(-(((1/318504960)*((895*x)-899))/((x^2-x)+1)^4))))))+(-(-(-(-(((1/318504960)*((305*x)-289))/(x^2+x+1)^4)))))+(-(-(-(-(((1190661481/3.057647616)*E11)/(x+1)^3)))))+(-(-(-(-(((1873/29859840)*(x+1))/(x^2+1)^4)))))+(-(-(-(-((((3.1314666503*E10)/3.057647616)*E11)/(x-1)^3)))))+(-(-(-(-(((1/53084160)*((2*x)-1))/((x^2-x)+1)^5)))))+(-(-(-(304567/1911029760/(x+1)^4))))+(-(-(-(((1/552960)*(x+1))/((x^4-x^2)+1)^5))))+(-(-(-(((37/19906560)*(x+1))/(x^2+1)^5))))+(-(-(-((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A257171 = (((((-(1*x^3))-(3*x^2)-(3*x)-1)/((0.03115235319516952*x^3)+(0.09345705958550855*x^2)+(0.09345705958550855*x)+0.03115235319516952))*(A001364+(-((-(((1/30)*(((268*x^31)+(268*x^30)+(268*x^29)+(268*x^28)+(536*x^27)+(536*x^26)+(530*x^25)+(530*x^24)+(524*x^23)+(524*x^22)+(507*x^21)+(507*x^20)+(222*x^19)+(222*x^18)+(194*x^17)+(194*x^16))-(102*x^15)-(102*x^14)-(134*x^13)-(134*x^12)-(434*x^11)-(434*x^10)-(462*x^9)-(462*x^8)-(490*x^7)-(490*x^6)-(507*x^5)-(507*x^4)-(256*x^3)-(256*x^2)-(262*x)-262))/(((x^32+x^28)-x^20-x^16-x^12)+x^4+1)))+(-(-(-(-(-(-(-(-(-(-(((1/48)*(((74*x^31)+(74*x^30)+(56*x^29)+(56*x^28)+(38*x^27)+(38*x^26)+(19*x^25)+(19*x^24))-(19*x^21)-(19*x^20)-(38*x^19)-(38*x^18)-(56*x^17)-(56*x^16)-(148*x^15)-(148*x^14)-(145*x^13)-(145*x^12)-(142*x^11)-(142*x^10)-(134*x^9)-(134*x^8)-(126*x^7)-(126*x^6)-(115*x^5)-(115*x^4)-(104*x^3)-(104*x^2)-(89*x)-89))/((x^32-x^16)+1))))))))))))+(-(-(-(-(-(-(-(-(-(-(((1/1152)*(((254*x^15)+(254*x^14)+(424*x^13)+(424*x^12)+(594*x^11)+(594*x^10)+(657*x^9)+(657*x^8)+(466*x^7)+(466*x^6)+(287*x^5)+(287*x^4)+(108*x^3)+(108*x^2))-(73*x)-73))/((x^16-x^8)+1))))))))))))+(-(-(-(-(-(-(-(-(-(((1/300)*(((24*x^15)+(24*x^14)+(24*x^13)+(24*x^12))-(24*x^11)-(24*x^10)-(92*x^9)-(92*x^8)-(133*x^7)-(133*x^6)-(146*x^5)-(146*x^4)-(109*x^3)-(109*x^2)-(44*x)-44))/(((x^16+x^14)-x^10-x^8-x^6)+x^2+1)))))))))))+(-(-(-(-(-(-(-(-(-(((1/48)*(((2*x^15)+(2*x^14)+(2*x^13)+(2*x^12)+(2*x^11)+(2*x^10)+x^9+x^8)-x^5-x^4-(2*x^3)-(2*x^2)-(2*x)-2))/(x^16+1)))))))))))+(-(-(-(-(-(-(-(-(-(((1/30)*(((2*x^15)+(2*x^14)+(2*x^13)+(2*x^12)+(2*x^7)+(2*x^6)+x^5+x^4)-(2*x^3)-(2*x^2)-(2*x)-2))/((((x^16-x^12)+x^8)-x^4)+1)))))))))))+(-(-(-(-(-(-(-(-(((1/2488320)*(((442342*x^7)+(442342*x^6)+(151192*x^5)+(151192*x^4))-(582300*x^3)-(582300*x^2)-(464819*x)-464819))/((x^8-x^4)+1))))))))))+(-(-(-(-(-(-(-(-(((1/1152)*(((38*x^7)+(38*x^6)+(19*x^5)+(19*x^4))-(18*x)-18))/(x^8+1))))))))))+(-(-(-(-(-(-(-(-(((1/600)*(((13*x^7)+(24*x^6)+(14*x^5))-(13*x^4)-(38*x^3)-(51*x^2)-(41*x)-17))/(((x^8+x^7)-x^5-x^4-x^3)+x+1))))))))))+(-(-(-(-(-(-(-(-(((1/300)*(((3*x^7)+(3*x^6))-(3*x^5)-(3*x^4)-(4*x)-4))/((((x^8-x^6)+x^4)-x^2)+1))))))))))+(-(-(-(-(-(-(-(-(((1/600)*(((((((3*x^7)+(2*x^6))-(8*x^5))+(9*x^4))-(6*x^3)-(3*x^2))+(7*x))-7))/((((((x^8-x^7)+x^5)-x^4)+x^3)-x)+1))))))))))+(-(-(-(-(-(-(-(-(((1/597196800)*(((82976631*x^3)+(82976631*x^2))-(67206631*x)-67206631))/((x^4-x^2)+1))))))))))+(-(-(-(-(-(-(-(-(((1/1244160)*((19399*x^3)+(19399*x^2)+(949*x)+949))/(x^4+1))))))))))+(-(-(-(-(-(-(-(-(((1/600)*((((2*x^3)-x^2)+x)-1))/((((x^4-x^3)+x^2)-x)+1))))))))))+(-(-(-(-(-(-(-(-(((1/600)*(x^2+x+1))/(x^4+x^3+x^2+x+1))))))))))+(-(-(-(-(-(-(-(-(((1/1.719926784)*E11*((3.634782608*E9*x)+(3.782566313*E9)))/(x^2+x+1))))))))))+(-(-(-(-(-(-(-(-(((1/1.719926784)*E11*((3.634586768*E9*x)+(3.486998903*E9)))/((x^2-x)+1))))))))))+(-(-(-(-(-(-(-(-(((42227063/398131200)*(x+1))/(x^2+1))))))))))+(-(-(-(-(-(-(-(-(((1/192)*((3*x^13)+(3*x^12)+(6*x^11)+(6*x^10)+(8*x^9)+(8*x^8)+(10*x^7)+(10*x^6)+(8*x^5)+(8*x^4)+(6*x^3)+(6*x^2)+(3*x)+3))/((x^16-x^8)+1)^2)))))))))+(-(-(-(-(-(-(-(((1/138240)*(((5278*x^7)+(5278*x^6)+(3023*x^5)+(3023*x^4))-(4510*x^3)-(4510*x^2)-(4606*x)-4606))/((x^8-x^4)+1)^2))))))))+(-(-(-(-(-(-(-(((1/1152)*(((2*x^7)+(2*x^6)+x^5+x^4)-x-1))/(x^8+1)^2))))))))+(-(-(-(-(-(-(-(((1/119439360)*(((2363400*x^3)+(2363400*x^2))-(1035091*x)-1035091))/((x^4-x^2)+1)^2))))))))+(-(-(-(-(-(-(-(((1/2488320)*((3796*x^3)+(3796*x^2)+(111*x)+111))/(x^4+1)^2))))))))+(-(-(-(-(-(-(-(((1/1.146617856)*E10*((19717422*x)+10595669))/(x^2+x+1)^2))))))))+(-(-(-(-(-(-(-(((1/1.146617856)*E10*((128*x)-28839175))/((x^2-x)+1)^2))))))))+(-(-(-(-(-(-((((9.68274123479*E11)/5.5037657088)*E12)/(x+1))))))))+(-(-(-(-(-(-(((72835631/4.7775744)*E9*(x+1))/(x^2+1)^2)))))))+(-(-(-(-(-(-((((2.181899437457*E12)/2.20150628352)*E11)/(x-1))))))))+(-(-(-(-(-(-(((1/69120)*(((288*x^7)+(288*x^6)+(221*x^5)+(221*x^4))-(134*x^3)-(134*x^2)-(205*x)-205))/((x^8-x^4)+1)^3)))))))+(-(-(-(-(-(-(((1/6635520)*((9535*x^3)+(9535*x^2)+(294*x)+294))/((x^4-x^2)+1)^3)))))))+(-(-(-(-(-(-(((1/829440)*((74*x^3)+(74*x^2)+x+1))/(x^4+1)^3)))))))+(-(-(-(-(-(-(((1/1911029760)*((124037*x)+4800))/(x^2+x+1)^3)))))))+(-(-(-(-(-(-(((677194333/1.27401984)*E10)/(x+1)^2)))))))+(-(-(-(-(-(-(((9895/7962624)*(x+1))/(x^2+1)^3)))))))+(-(-(-(-(-(-((((8.22000147551*E11)/2.7518828544)*E12)/(x-1)^2)))))))+(-(-(-(-(-(-(((121637/1911029760)*(x-2))/((x^2-x)+1)^3)))))))+(-(-(-(-(-(((1/11520)*(((2*x^7)+(2*x^6)+(2*x^5)+(2*x^4))-x-1))/((x^8-x^4)+1)^4))))))+(-(-(-(-(-(((1/1105920)*((47*x^3)+(47*x^2)+(49*x)+49))/((x^4-x^2)+1)^4))))))+(-(-(-(-(-(((1/414720)*(x^3+x^2))/(x^4+1)^4))))))+(-(-(-(-(-(((1/318504960)*((895*x)-899))/((x^2-x)+1)^4))))))+(-(-(-(-(((1/318504960)*((305*x)-289))/(x^2+x+1)^4)))))+(-(-(-(-(((1873/29859840)*(x+1))/(x^2+1)^4)))))+(-(-(-(-((((3.1314666503*E10)/3.057647616)*E11)/(x-1)^3)))))+(-(-(-(-(((1/53084160)*((2*x)-1))/((x^2-x)+1)^5)))))+(-(-(-(304567/1911029760/(x+1)^4))))+(-(-(-(((1/552960)*(x+1))/((x^4-x^2)+1)^5))))+(-(-(-(((37/19906560)*(x+1))/(x^2+1)^5))))+(-(-(-(((116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A257850 = ((((x^2+(2*x)+1)/((0.03894044149396188*x^2)+(0.07788088298792376*x)+0.03894044149396188))*integrate((A001364+(-((-(((1/30)*(((268*x^31)+(268*x^30)+(268*x^29)+(268*x^28)+(536*x^27)+(536*x^26)+(530*x^25)+(530*x^24)+(524*x^23)+(524*x^22)+(507*x^21)+(507*x^20)+(222*x^19)+(222*x^18)+(194*x^17)+(194*x^16))-(102*x^15)-(102*x^14)-(134*x^13)-(134*x^12)-(434*x^11)-(434*x^10)-(462*x^9)-(462*x^8)-(490*x^7)-(490*x^6)-(507*x^5)-(507*x^4)-(256*x^3)-(256*x^2)-(262*x)-262))/(((x^32+x^28)-x^20-x^16-x^12)+x^4+1)))+(-(-(-(-(-(-(-(-(-(-(((1/48)*(((74*x^31)+(74*x^30)+(56*x^29)+(56*x^28)+(38*x^27)+(38*x^26)+(19*x^25)+(19*x^24))-(19*x^21)-(19*x^20)-(38*x^19)-(38*x^18)-(56*x^17)-(56*x^16)-(148*x^15)-(148*x^14)-(145*x^13)-(145*x^12)-(142*x^11)-(142*x^10)-(134*x^9)-(134*x^8)-(126*x^7)-(126*x^6)-(115*x^5)-(115*x^4)-(104*x^3)-(104*x^2)-(89*x)-89))/((x^32-x^16)+1))))))))))))+(-(-(-(-(-(-(-(-(-(-(((1/1152)*(((254*x^15)+(254*x^14)+(424*x^13)+(424*x^12)+(594*x^11)+(594*x^10)+(657*x^9)+(657*x^8)+(466*x^7)+(466*x^6)+(287*x^5)+(287*x^4)+(108*x^3)+(108*x^2))-(73*x)-73))/((x^16-x^8)+1))))))))))))+(-(-(-(-(-(-(-(-(-(((1/300)*(((24*x^15)+(24*x^14)+(24*x^13)+(24*x^12))-(24*x^11)-(24*x^10)-(92*x^9)-(92*x^8)-(133*x^7)-(133*x^6)-(146*x^5)-(146*x^4)-(109*x^3)-(109*x^2)-(44*x)-44))/(((x^16+x^14)-x^10-x^8-x^6)+x^2+1)))))))))))+(-(-(-(-(-(-(-(-(-(((1/48)*(((2*x^15)+(2*x^14)+(2*x^13)+(2*x^12)+(2*x^11)+(2*x^10)+x^9+x^8)-x^5-x^4-(2*x^3)-(2*x^2)-(2*x)-2))/(x^16+1)))))))))))+(-(-(-(-(-(-(-(-(-(((1/30)*(((2*x^15)+(2*x^14)+(2*x^13)+(2*x^12)+(2*x^7)+(2*x^6)+x^5+x^4)-(2*x^3)-(2*x^2)-(2*x)-2))/((((x^16-x^12)+x^8)-x^4)+1)))))))))))+(-(-(-(-(-(-(-(-(((1/2488320)*(((442342*x^7)+(442342*x^6)+(151192*x^5)+(151192*x^4))-(582300*x^3)-(582300*x^2)-(464819*x)-464819))/((x^8-x^4)+1))))))))))+(-(-(-(-(-(-(-(-(((1/1152)*(((38*x^7)+(38*x^6)+(19*x^5)+(19*x^4))-(18*x)-18))/(x^8+1))))))))))+(-(-(-(-(-(-(-(-(((1/600)*(((13*x^7)+(24*x^6)+(14*x^5))-(13*x^4)-(38*x^3)-(51*x^2)-(41*x)-17))/(((x^8+x^7)-x^5-x^4-x^3)+x+1))))))))))+(-(-(-(-(-(-(-(-(((1/300)*(((3*x^7)+(3*x^6))-(3*x^5)-(3*x^4)-(4*x)-4))/((((x^8-x^6)+x^4)-x^2)+1))))))))))+(-(-(-(-(-(-(-(-(((1/600)*(((((((3*x^7)+(2*x^6))-(8*x^5))+(9*x^4))-(6*x^3)-(3*x^2))+(7*x))-7))/((((((x^8-x^7)+x^5)-x^4)+x^3)-x)+1))))))))))+(-(-(-(-(-(-(-(-(((1/597196800)*(((82976631*x^3)+(82976631*x^2))-(67206631*x)-67206631))/((x^4-x^2)+1))))))))))+(-(-(-(-(-(-(-(-(((1/1244160)*((19399*x^3)+(19399*x^2)+(949*x)+949))/(x^4+1))))))))))+(-(-(-(-(-(-(-(-(((1/600)*((((2*x^3)-x^2)+x)-1))/((((x^4-x^3)+x^2)-x)+1))))))))))+(-(-(-(-(-(-(-(-(((1/600)*(x^2+x+1))/(x^4+x^3+x^2+x+1))))))))))+(-(-(-(-(-(-(-(-(((1/1.719926784)*E11*((3.634782608*E9*x)+(3.782566313*E9)))/(x^2+x+1))))))))))+(-(-(-(-(-(-(-(-(((1/1.719926784)*E11*((3.634586768*E9*x)+(3.486998903*E9)))/((x^2-x)+1))))))))))+(-(-(-(-(-(-(-(-(((42227063/398131200)*(x+1))/(x^2+1))))))))))+(-(-(-(-(-(-(-(-(((1/192)*((3*x^13)+(3*x^12)+(6*x^11)+(6*x^10)+(8*x^9)+(8*x^8)+(10*x^7)+(10*x^6)+(8*x^5)+(8*x^4)+(6*x^3)+(6*x^2)+(3*x)+3))/((x^16-x^8)+1)^2)))))))))+(-(-(-(-(-(-(-(((1/138240)*(((5278*x^7)+(5278*x^6)+(3023*x^5)+(3023*x^4))-(4510*x^3)-(4510*x^2)-(4606*x)-4606))/((x^8-x^4)+1)^2))))))))+(-(-(-(-(-(-(-(((1/1152)*(((2*x^7)+(2*x^6)+x^5+x^4)-x-1))/(x^8+1)^2))))))))+(-(-(-(-(-(-(-(((1/119439360)*(((2363400*x^3)+(2363400*x^2))-(1035091*x)-1035091))/((x^4-x^2)+1)^2))))))))+(-(-(-(-(-(-(-(((1/2488320)*((3796*x^3)+(3796*x^2)+(111*x)+111))/(x^4+1)^2))))))))+(-(-(-(-(-(-(-(((1/1.146617856)*E10*((19717422*x)+10595669))/(x^2+x+1)^2))))))))+(-(-(-(-(-(-(-(((1/1.146617856)*E10*((128*x)-28839175))/((x^2-x)+1)^2))))))))+(-(-(-(-(-(-((((9.68274123479*E11)/5.5037657088)*E12)/(x+1))))))))+(-(-(-(-(-(-(((72835631/4.7775744)*E9*(x+1))/(x^2+1)^2)))))))+(-(-(-(-(-(-((((2.181899437457*E12)/2.20150628352)*E11)/(x-1))))))))+(-(-(-(-(-(-(((1/69120)*(((288*x^7)+(288*x^6)+(221*x^5)+(221*x^4))-(134*x^3)-(134*x^2)-(205*x)-205))/((x^8-x^4)+1)^3)))))))+(-(-(-(-(-(-(((1/6635520)*((9535*x^3)+(9535*x^2)+(294*x)+294))/((x^4-x^2)+1)^3)))))))+(-(-(-(-(-(-(((1/829440)*((74*x^3)+(74*x^2)+x+1))/(x^4+1)^3)))))))+(-(-(-(-(-(-(((1/1911029760)*((124037*x)+4800))/(x^2+x+1)^3)))))))+(-(-(-(-(-(-(((677194333/1.27401984)*E10)/(x+1)^2)))))))+(-(-(-(-(-(-(((9895/7962624)*(x+1))/(x^2+1)^3)))))))+(-(-(-(-(-(-((((8.22000147551*E11)/2.7518828544)*E12)/(x-1)^2)))))))+(-(-(-(-(-(-(((121637/1911029760)*(x-2))/((x^2-x)+1)^3)))))))+(-(-(-(-(-(((1/11520)*(((2*x^7)+(2*x^6)+(2*x^5)+(2*x^4))-x-1))/((x^8-x^4)+1)^4))))))+(-(-(-(-(-(((1/1105920)*((47*x^3)+(47*x^2)+(49*x)+49))/((x^4-x^2)+1)^4))))))+(-(-(-(-(-(((1/414720)*(x^3+x^2))/(x^4+1)^4))))))+(-(-(-(-(-(((1/318504960)*((895*x)-899))/((x^2-x)+1)^4))))))+(-(-(-(-(((1/318504960)*((305*x)-289))/(x^2+x+1)^4)))))+(-(-(-(-(((1873/29859840)*(x+1))/(x^2+1)^4)))))+(-(-(-(-((((3.1314666503*E10)/3.057647616)*E11)/(x-1)^3)))))+(-(-(-(-(((1/53084160)*((2*x)-1))/((x^2-x)+1)^5)))))+(-(-(-(304567/1911029760/(x+1)^4))))+(-(-(-(((1/552960)*(x+1))/((x^4-x^2)+1)^5))))+(-(-(-(((37/19906560)*(x+1))/(x^2+1)^5))))+(-(-(-(((1166296121/1.528823808)*E11)/(x-1)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A254233 = 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A257464 = 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A257890 = ((((((-(1*x^2))+(2*x))-1)/(((0.0512071213490024*x^2)-(0.1024142426980048*x))+0.0512071213490024))*integrate((A001364+(-((-(((1/30)*(((268*x^31)+(268*x^30)+(268*x^29)+(268*x^28)+(536*x^27)+(536*x^26)+(530*x^25)+(530*x^24)+(524*x^23)+(524*x^22)+(507*x^21)+(507*x^20)+(222*x^19)+(222*x^18)+(194*x^17)+(194*x^16))-(102*x^15)-(102*x^14)-(134*x^13)-(134*x^12)-(434*x^11)-(434*x^10)-(462*x^9)-(462*x^8)-(490*x^7)-(490*x^6)-(507*x^5)-(507*x^4)-(256*x^3)-(256*x^2)-(262*x)-262))/(((x^32+x^28)-x^20-x^16-x^12)+x^4+1)))+(-(-(-(-(-(-(-(-(-(-(((1/48)*(((74*x^31)+(74*x^30)+(56*x^29)+(56*x^28)+(38*x^27)+(38*x^26)+(19*x^25)+(19*x^24))-(19*x^21)-(19*x^20)-(38*x^19)-(38*x^18)-(56*x^17)-(56*x^16)-(148*x^15)-(148*x^14)-(145*x^13)-(145*x^12)-(142*x^11)-(142*x^10)-(134*x^9)-(134*x^8)-(126*x^7)-(126*x^6)-(115*x^5)-(115*x^4)-(104*x^3)-(104*x^2)-(89*x)-89))/((x^32-x^16)+1))))))))))))+(-(-(-(-(-(-(-(-(-(-(((1/1152)*(((254*x^15)+(254*x^14)+(424*x^13)+(424*x^12)+(594*x^11)+(594*x^10)+(657*x^9)+(657*x^8)+(466*x^7)+(466*x^6)+(287*x^5)+(287*x^4)+(108*x^3)+(108*x^2))-(73*x)-73))/((x^16-x^8)+1))))))))))))+(-(-(-(-(-(-(-(-(-(((1/300)*(((24*x^15)+(24*x^14)+(24*x^13)+(24*x^12))-(24*x^11)-(24*x^10)-(92*x^9)-(92*x^8)-(133*x^7)-(133*x^6)-(146*x^5)-(146*x^4)-(109*x^3)-(109*x^2)-(44*x)-44))/(((x^16+x^14)-x^10-x^8-x^6)+x^2+1)))))))))))+(-(-(-(-(-(-(-(-(-(((1/48)*(((2*x^15)+(2*x^14)+(2*x^13)+(2*x^12)+(2*x^11)+(2*x^10)+x^9+x^8)-x^5-x^4-(2*x^3)-(2*x^2)-(2*x)-2))/(x^16+1)))))))))))+(-(-(-(-(-(-(-(-(-(((1/30)*(((2*x^15)+(2*x^14)+(2*x^13)+(2*x^12)+(2*x^7)+(2*x^6)+x^5+x^4)-(2*x^3)-(2*x^2)-(2*x)-2))/((((x^16-x^12)+x^8)-x^4)+1)))))))))))+(-(-(-(-(-(-(-(-(((1/2488320)*(((442342*x^7)+(442342*x^6)+(151192*x^5)+(151192*x^4))-(582300*x^3)-(582300*x^2)-(464819*x)-464819))/((x^8-x^4)+1))))))))))+(-(-(-(-(-(-(-(-(((1/1152)*(((38*x^7)+(38*x^6)+(19*x^5)+(19*x^4))-(18*x)-18))/(x^8+1))))))))))+(-(-(-(-(-(-(-(-(((1/600)*(((13*x^7)+(24*x^6)+(14*x^5))-(13*x^4)-(38*x^3)-(51*x^2)-(41*x)-17))/(((x^8+x^7)-x^5-x^4-x^3)+x+1))))))))))+(-(-(-(-(-(-(-(-(((1/300)*(((3*x^7)+(3*x^6))-(3*x^5)-(3*x^4)-(4*x)-4))/((((x^8-x^6)+x^4)-x^2)+1))))))))))+(-(-(-(-(-(-(-(-(((1/600)*(((((((3*x^7)+(2*x^6))-(8*x^5))+(9*x^4))-(6*x^3)-(3*x^2))+(7*x))-7))/((((((x^8-x^7)+x^5)-x^4)+x^3)-x)+1))))))))))+(-(-(-(-(-(-(-(-(((1/597196800)*(((82976631*x^3)+(82976631*x^2))-(67206631*x)-67206631))/((x^4-x^2)+1))))))))))+(-(-(-(-(-(-(-(-(((1/1244160)*((19399*x^3)+(19399*x^2)+(949*x)+949))/(x^4+1))))))))))+(-(-(-(-(-(-(-(-(((1/600)*((((2*x^3)-x^2)+x)-1))/((((x^4-x^3)+x^2)-x)+1))))))))))+(-(-(-(-(-(-(-(-(((1/600)*(x^2+x+1))/(x^4+x^3+x^2+x+1))))))))))+(-(-(-(-(-(-(-(-(((1/1.719926784)*E11*((3.634782608*E9*x)+(3.782566313*E9)))/(x^2+x+1))))))))))+(-(-(-(-(-(-(-(-(((1/1.719926784)*E11*((3.634586768*E9*x)+(3.486998903*E9)))/((x^2-x)+1))))))))))+(-(-(-(-(-(-(-(-(((42227063/398131200)*(x+1))/(x^2+1))))))))))+(-(-(-(-(-(-(-(-(((1/192)*((3*x^13)+(3*x^12)+(6*x^11)+(6*x^10)+(8*x^9)+(8*x^8)+(10*x^7)+(10*x^6)+(8*x^5)+(8*x^4)+(6*x^3)+(6*x^2)+(3*x)+3))/((x^16-x^8)+1)^2)))))))))+(-(-(-(-(-(-(-(((1/138240)*(((5278*x^7)+(5278*x^6)+(3023*x^5)+(3023*x^4))-(4510*x^3)-(4510*x^2)-(4606*x)-4606))/((x^8-x^4)+1)^2))))))))+(-(-(-(-(-(-(-(((1/1152)*(((2*x^7)+(2*x^6)+x^5+x^4)-x-1))/(x^8+1)^2))))))))+(-(-(-(-(-(-(-(((1/119439360)*(((2363400*x^3)+(2363400*x^2))-(1035091*x)-1035091))/((x^4-x^2)+1)^2))))))))+(-(-(-(-(-(-(-(((1/2488320)*((3796*x^3)+(3796*x^2)+(111*x)+111))/(x^4+1)^2))))))))+(-(-(-(-(-(-(-(((1/1.146617856)*E10*((19717422*x)+10595669))/(x^2+x+1)^2))))))))+(-(-(-(-(-(-(-(((1/1.146617856)*E10*((128*x)-28839175))/((x^2-x)+1)^2))))))))+(-(-(-(-(-(-((((9.68274123479*E11)/5.5037657088)*E12)/(x+1))))))))+(-(-(-(-(-(-(((72835631/4.7775744)*E9*(x+1))/(x^2+1)^2)))))))+(-(-(-(-(-(-((((2.181899437457*E12)/2.20150628352)*E11)/(x-1))))))))+(-(-(-(-(-(-(((1/69120)*(((288*x^7)+(288*x^6)+(221*x^5)+(221*x^4))-(134*x^3)-(134*x^2)-(205*x)-205))/((x^8-x^4)+1)^3)))))))+(-(-(-(-(-(-(((1/6635520)*((9535*x^3)+(9535*x^2)+(294*x)+294))/((x^4-x^2)+1)^3)))))))+(-(-(-(-(-(-(((1/829440)*((74*x^3)+(74*x^2)+x+1))/(x^4+1)^3)))))))+(-(-(-(-(-(-(((1/1911029760)*((124037*x)+4800))/(x^2+x+1)^3)))))))+(-(-(-(-(-(-(((677194333/1.27401984)*E10)/(x+1)^2)))))))+(-(-(-(-(-(-(((9895/7962624)*(x+1))/(x^2+1)^3)))))))+(-(-(-(-(-(-((((8.22000147551*E11)/2.7518828544)*E12)/(x-1)^2)))))))+(-(-(-(-(-(-(((121637/1911029760)*(x-2))/((x^2-x)+1)^3)))))))+(-(-(-(-(-(((1/11520)*(((2*x^7)+(2*x^6)+(2*x^5)+(2*x^4))-x-1))/((x^8-x^4)+1)^4))))))+(-(-(-(-(-(((1/1105920)*((47*x^3)+(47*x^2)+(49*x)+49))/((x^4-x^2)+1)^4))))))+(-(-(-(-(-(((1/414720)*(x^3+x^2))/(x^4+1)^4))))))+(-(-(-(-(-(((1/318504960)*((895*x)-899))/((x^2-x)+1)^4))))))+(-(-(-(-(((1/318504960)*((305*x)-289))/(x^2+x+1)^4)))))+(-(-(-(-(((1190661481/3.057647616)*E11)/(x+1)^3)))))+(-(-(-(-(((1873/29859840)*(x+1))/(x^2+1)^4)))))+(-(-(-(-(((1/53084160)*((2*x)-1))/((x^2-x)+1)^5)))))+(-(-(-(304567/1911029760/(x+1)^4))))+(-(-(-(((1/552960)*(x+1))/((x^4-x^2)+1)^5))))+(-(-(-(((37/19906560)*(x+1))/(x^2+1)^5))))+(-(-(-(((1166296121/1.528823808)*E11)/(x-1)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A257890 = ((((((((-(1*x^4))+(4*x^3))-(6*x^2))+(4*x))-1)/(((((0.307242728094015*x^4)-(1.22897091237606*x^3))+(1.84345636856409*x^2))-(1.22897091237606*x))+0.307242728094015))*differential((A001364+(-((-(((1/30)*(((268*x^31)+(268*x^30)+(268*x^29)+(268*x^28)+(536*x^27)+(536*x^26)+(530*x^25)+(530*x^24)+(524*x^23)+(524*x^22)+(507*x^21)+(507*x^20)+(222*x^19)+(222*x^18)+(194*x^17)+(194*x^16))-(102*x^15)-(102*x^14)-(134*x^13)-(134*x^12)-(434*x^11)-(434*x^10)-(462*x^9)-(462*x^8)-(490*x^7)-(490*x^6)-(507*x^5)-(507*x^4)-(256*x^3)-(256*x^2)-(262*x)-262))/(((x^32+x^28)-x^20-x^16-x^12)+x^4+1)))+(-(-(-(-(-(-(-(-(-(-(((1/48)*(((74*x^31)+(74*x^30)+(56*x^29)+(56*x^28)+(38*x^27)+(38*x^26)+(19*x^25)+(19*x^24))-(19*x^21)-(19*x^20)-(38*x^19)-(38*x^18)-(56*x^17)-(56*x^16)-(148*x^15)-(148*x^14)-(145*x^13)-(145*x^12)-(142*x^11)-(142*x^10)-(134*x^9)-(134*x^8)-(126*x^7)-(126*x^6)-(115*x^5)-(115*x^4)-(104*x^3)-(104*x^2)-(89*x)-89))/((x^32-x^16)+1))))))))))))+(-(-(-(-(-(-(-(-(-(-(((1/1152)*(((254*x^15)+(254*x^14)+(424*x^13)+(424*x^12)+(594*x^11)+(594*x^10)+(657*x^9)+(657*x^8)+(466*x^7)+(466*x^6)+(287*x^5)+(287*x^4)+(108*x^3)+(108*x^2))-(73*x)-73))/((x^16-x^8)+1))))))))))))+(-(-(-(-(-(-(-(-(-(((1/300)*(((24*x^15)+(24*x^14)+(24*x^13)+(24*x^12))-(24*x^11)-(24*x^10)-(92*x^9)-(92*x^8)-(133*x^7)-(133*x^6)-(146*x^5)-(146*x^4)-(109*x^3)-(109*x^2)-(44*x)-44))/(((x^16+x^14)-x^10-x^8-x^6)+x^2+1)))))))))))+(-(-(-(-(-(-(-(-(-(((1/48)*(((2*x^15)+(2*x^14)+(2*x^13)+(2*x^12)+(2*x^11)+(2*x^10)+x^9+x^8)-x^5-x^4-(2*x^3)-(2*x^2)-(2*x)-2))/(x^16+1)))))))))))+(-(-(-(-(-(-(-(-(-(((1/30)*(((2*x^15)+(2*x^14)+(2*x^13)+(2*x^12)+(2*x^7)+(2*x^6)+x^5+x^4)-(2*x^3)-(2*x^2)-(2*x)-2))/((((x^16-x^12)+x^8)-x^4)+1)))))))))))+(-(-(-(-(-(-(-(-(((1/2488320)*(((442342*x^7)+(442342*x^6)+(151192*x^5)+(151192*x^4))-(582300*x^3)-(582300*x^2)-(464819*x)-464819))/((x^8-x^4)+1))))))))))+(-(-(-(-(-(-(-(-(((1/1152)*(((38*x^7)+(38*x^6)+(19*x^5)+(19*x^4))-(18*x)-18))/(x^8+1))))))))))+(-(-(-(-(-(-(-(-(((1/600)*(((13*x^7)+(24*x^6)+(14*x^5))-(13*x^4)-(38*x^3)-(51*x^2)-(41*x)-17))/(((x^8+x^7)-x^5-x^4-x^3)+x+1))))))))))+(-(-(-(-(-(-(-(-(((1/300)*(((3*x^7)+(3*x^6))-(3*x^5)-(3*x^4)-(4*x)-4))/((((x^8-x^6)+x^4)-x^2)+1))))))))))+(-(-(-(-(-(-(-(-(((1/600)*(((((((3*x^7)+(2*x^6))-(8*x^5))+(9*x^4))-(6*x^3)-(3*x^2))+(7*x))-7))/((((((x^8-x^7)+x^5)-x^4)+x^3)-x)+1))))))))))+(-(-(-(-(-(-(-(-(((1/597196800)*(((82976631*x^3)+(82976631*x^2))-(67206631*x)-67206631))/((x^4-x^2)+1))))))))))+(-(-(-(-(-(-(-(-(((1/1244160)*((19399*x^3)+(19399*x^2)+(949*x)+949))/(x^4+1))))))))))+(-(-(-(-(-(-(-(-(((1/600)*((((2*x^3)-x^2)+x)-1))/((((x^4-x^3)+x^2)-x)+1))))))))))+(-(-(-(-(-(-(-(-(((1/600)*(x^2+x+1))/(x^4+x^3+x^2+x+1))))))))))+(-(-(-(-(-(-(-(-(((1/1.719926784)*E11*((3.634782608*E9*x)+(3.782566313*E9)))/(x^2+x+1))))))))))+(-(-(-(-(-(-(-(-(((1/1.719926784)*E11*((3.634586768*E9*x)+(3.486998903*E9)))/((x^2-x)+1))))))))))+(-(-(-(-(-(-(-(-(((42227063/398131200)*(x+1))/(x^2+1))))))))))+(-(-(-(-(-(-(-(-(((1/192)*((3*x^13)+(3*x^12)+(6*x^11)+(6*x^10)+(8*x^9)+(8*x^8)+(10*x^7)+(10*x^6)+(8*x^5)+(8*x^4)+(6*x^3)+(6*x^2)+(3*x)+3))/((x^16-x^8)+1)^2)))))))))+(-(-(-(-(-(-(-(((1/138240)*(((5278*x^7)+(5278*x^6)+(3023*x^5)+(3023*x^4))-(4510*x^3)-(4510*x^2)-(4606*x)-4606))/((x^8-x^4)+1)^2))))))))+(-(-(-(-(-(-(-(((1/1152)*(((2*x^7)+(2*x^6)+x^5+x^4)-x-1))/(x^8+1)^2))))))))+(-(-(-(-(-(-(-(((1/119439360)*(((2363400*x^3)+(2363400*x^2))-(1035091*x)-1035091))/((x^4-x^2)+1)^2))))))))+(-(-(-(-(-(-(-(((1/2488320)*((3796*x^3)+(3796*x^2)+(111*x)+111))/(x^4+1)^2))))))))+(-(-(-(-(-(-(-(((1/1.146617856)*E10*((19717422*x)+10595669))/(x^2+x+1)^2))))))))+(-(-(-(-(-(-(-(((1/1.146617856)*E10*((128*x)-28839175))/((x^2-x)+1)^2))))))))+(-(-(-(-(-(-((((9.68274123479*E11)/5.5037657088)*E12)/(x+1))))))))+(-(-(-(-(-(-(((72835631/4.7775744)*E9*(x+1))/(x^2+1)^2)))))))+(-(-(-(-(-(-((((2.181899437457*E12)/2.20150628352)*E11)/(x-1))))))))+(-(-(-(-(-(-(((1/69120)*(((288*x^7)+(288*x^6)+(221*x^5)+(221*x^4))-(134*x^3)-(134*x^2)-(205*x)-205))/((x^8-x^4)+1)^3)))))))+(-(-(-(-(-(-(((1/6635520)*((9535*x^3)+(9535*x^2)+(294*x)+294))/((x^4-x^2)+1)^3)))))))+(-(-(-(-(-(-(((1/829440)*((74*x^3)+(74*x^2)+x+1))/(x^4+1)^3)))))))+(-(-(-(-(-(-(((1/1911029760)*((124037*x)+4800))/(x^2+x+1)^3)))))))+(-(-(-(-(-(-(((677194333/1.27401984)*E10)/(x+1)^2)))))))+(-(-(-(-(-(-(((9895/7962624)*(x+1))/(x^2+1)^3)))))))+(-(-(-(-(-(-((((8.22000147551*E11)/2.7518828544)*E12)/(x-1)^2)))))))+(-(-(-(-(-(-(((121637/1911029760)*(x-2))/((x^2-x)+1)^3)))))))+(-(-(-(-(-(((1/11520)*(((2*x^7)+(2*x^6)+(2*x^5)+(2*x^4))-x-1))/((x^8-x^4)+1)^4))))))+(-(-(-(-(-(((1/1105920)*((47*x^3)+(47*x^2)+(49*x)+49))/((x^4-x^2)+1)^4))))))+(-(-(-(-(-(((1/414720)*(x^3+x^2))/(x^4+1)^4))))))+(-(-(-(-(-(((1/318504960)*((895*x)-899))/((x^2-x)+1)^4))))))+(-(-(-(-(((1/318504960)*((305*x)-289))/(x^2+x+1)^4)))))+(-(-(-(-(((1190661481/3.057647616)*E11)/(x+1)^3)))))+(-(-(-(-(((1873/29859840)*(x+1))/(x^2+1)^4)))))+(-(-(-(-(((1/53084160)*((2*x)-1))/((x^2-x)+1)^5)))))+(-(-(-(304567/1911029760/(x+1)^4))))+(-(-(-(((1/552960)*(x+1))/((x^4-x^2)+1)^5))))+(-(-(-(((37/19906560)*(x+1))/(x^2+1)^5))))+(-(-(-(((1166296121/1.528823808)*E11)/(x-1)^4))))+(-(-(-(1/53084160/(x^2+x+1)^5))))+(-(-(((30643/7.64411904)*E9)/(x+1)^5)))+(-(-(((1/39813120)*(x+1))/(x^2+1)^6)))+(-(-(((2405893/7.64411904)*E9)/(x-1)^5)))+(-(5/84934656/(x+1)^6))+(-(15209/1911029760/(x-1)^6))+(-(((1/2.54803968)*E9)/(x+1)^7))+(-(((299/2.54803968)*E9)/(x-1)^7))+(1/1274019840/(x-1)^8))))))+(1/(x-1)^2)+(1/(x-1)^6))
A112403 = (((-212336640)*integrate((A001364+(-((-(((1/30)*(((268*x^31)+(268*x^30)+(268*x^29)+(268*x^28)+(536*x^27)+(536*x^26)+(530*x^25)+(530*x^24)+(524*x^23)+(524*x^22)+(507*x^21)+(507*x^20)+(222*x^19)+(222*x^18)+(194*x^17)+(194*x^16))-(102*x^15)-(102*x^14)-(134*x^13)-(134*x^12)-(434*x^11)-(434*x^10)-(462*x^9)-(462*x^8)-(490*x^7)-(490*x^6)-(507*x^5)-(507*x^4)-(256*x^3)-(256*x^2)-(262*x)-262))/(((x^32+x^28)-x^20-x^16-x^12)+x^4+1)))+(-(-(-(-(-(-(-(-(-(-(((1/48)*(((74*x^31)+(74*x^30)+(56*x^29)+(56*x^28)+(38*x^27)+(38*x^26)+(19*x^25)+(19*x^24))-(19*x^21)-(19*x^20)-(38*x^19)-(38*x^18)-(56*x^17)-(56*x^16)-(148*x^15)-(148*x^14)-(145*x^13)-(145*x^12)-(142*x^11)-(142*x^10)-(134*x^9)-(134*x^8)-(126*x^7)-(126*x^6)-(115*x^5)-(115*x^4)-(104*x^3)-(104*x^2)-(89*x)-89))/((x^32-x^16)+1))))))))))))+(-(-(-(-(-(-(-(-(-(-(((1/1152)*(((254*x^15)+(254*x^14)+(424*x^13)+(424*x^12)+(594*x^11)+(594*x^10)+(657*x^9)+(657*x^8)+(466*x^7)+(466*x^6)+(287*x^5)+(287*x^4)+(108*x^3)+(108*x^2))-(73*x)-73))/((x^16-x^8)+1))))))))))))+(-(-(-(-(-(-(-(-(-(((1/300)*(((24*x^15)+(24*x^14)+(24*x^13)+(24*x^12))-(24*x^11)-(24*x^10)-(92*x^9)-(92*x^8)-(133*x^7)-(133*x^6)-(146*x^5)-(146*x^4)-(109*x^3)-(109*x^2)-(44*x)-44))/(((x^16+x^14)-x^10-x^8-x^6)+x^2+1)))))))))))+(-(-(-(-(-(-(-(-(-(((1/48)*(((2*x^15)+(2*x^14)+(2*x^13)+(2*x^12)+(2*x^11)+(2*x^10)+x^9+x^8)-x^5-x^4-(2*x^3)-(2*x^2)-(2*x)-2))/(x^16+1)))))))))))+(-(-(-(-(-(-(-(-(-(((1/30)*(((2*x^15)+(2*x^14)+(2*x^13)+(2*x^12)+(2*x^7)+(2*x^6)+x^5+x^4)-(2*x^3)-(2*x^2)-(2*x)-2))/((((x^16-x^12)+x^8)-x^4)+1)))))))))))+(-(-(-(-(-(-(-(-(((1/2488320)*(((442342*x^7)+(442342*x^6)+(151192*x^5)+(151192*x^4))-(582300*x^3)-(582300*x^2)-(464819*x)-464819))/((x^8-x^4)+1))))))))))+(-(-(-(-(-(-(-(-(((1/1152)*(((38*x^7)+(38*x^6)+(19*x^5)+(19*x^4))-(18*x)-18))/(x^8+1))))))))))+(-(-(-(-(-(-(-(-(((1/600)*(((13*x^7)+(24*x^6)+(14*x^5))-(13*x^4)-(38*x^3)-(51*x^2)-(41*x)-17))/(((x^8+x^7)-x^5-x^4-x^3)+x+1))))))))))+(-(-(-(-(-(-(-(-(((1/300)*(((3*x^7)+(3*x^6))-(3*x^5)-(3*x^4)-(4*x)-4))/((((x^8-x^6)+x^4)-x^2)+1))))))))))+(-(-(-(-(-(-(-(-(((1/600)*(((((((3*x^7)+(2*x^6))-(8*x^5))+(9*x^4))-(6*x^3)-(3*x^2))+(7*x))-7))/((((((x^8-x^7)+x^5)-x^4)+x^3)-x)+1))))))))))+(-(-(-(-(-(-(-(-(((1/597196800)*(((82976631*x^3)+(82976631*x^2))-(67206631*x)-67206631))/((x^4-x^2)+1))))))))))+(-(-(-(-(-(-(-(-(((1/1244160)*((19399*x^3)+(19399*x^2)+(949*x)+949))/(x^4+1))))))))))+(-(-(-(-(-(-(-(-(((1/600)*((((2*x^3)-x^2)+x)-1))/((((x^4-x^3)+x^2)-x)+1))))))))))+(-(-(-(-(-(-(-(-(((1/600)*(x^2+x+1))/(x^4+x^3+x^2+x+1))))))))))+(-(-(-(-(-(-(-(-(((1/1.719926784)*E11*((3.634782608*E9*x)+(3.782566313*E9)))/(x^2+x+1))))))))))+(-(-(-(-(-(-(-(-(((1/1.719926784)*E11*((3.634586768*E9*x)+(3.486998903*E9)))/((x^2-x)+1))))))))))+(-(-(-(-(-(-(-(-(((42227063/398131200)*(x+1))/(x^2+1))))))))))+(-(-(-(-(-(-(-(-(((1/192)*((3*x^13)+(3*x^12)+(6*x^11)+(6*x^10)+(8*x^9)+(8*x^8)+(10*x^7)+(10*x^6)+(8*x^5)+(8*x^4)+(6*x^3)+(6*x^2)+(3*x)+3))/((x^16-x^8)+1)^2)))))))))+(-(-(-(-(-(-(-(((1/138240)*(((5278*x^7)+(5278*x^6)+(3023*x^5)+(3023*x^4))-(4510*x^3)-(4510*x^2)-(4606*x)-4606))/((x^8-x^4)+1)^2))))))))+(-(-(-(-(-(-(-(((1/1152)*(((2*x^7)+(2*x^6)+x^5+x^4)-x-1))/(x^8+1)^2))))))))+(-(-(-(-(-(-(-(((1/119439360)*(((2363400*x^3)+(2363400*x^2))-(1035091*x)-1035091))/((x^4-x^2)+1)^2))))))))+(-(-(-(-(-(-(-(((1/2488320)*((3796*x^3)+(3796*x^2)+(111*x)+111))/(x^4+1)^2))))))))+(-(-(-(-(-(-(-(((1/1.146617856)*E10*((19717422*x)+10595669))/(x^2+x+1)^2))))))))+(-(-(-(-(-(-(-(((1/1.146617856)*E10*((128*x)-28839175))/((x^2-x)+1)^2))))))))+(-(-(-(-(-(-((((9.68274123479*E11)/5.5037657088)*E12)/(x+1))))))))+(-(-(-(-(-(-(((72835631/4.7775744)*E9*(x+1))/(x^2+1)^2)))))))+(-(-(-(-(-(-((((2.181899437457*E12)/2.20150628352)*E11)/(x-1))))))))+(-(-(-(-(-(-(((1/69120)*(((288*x^7)+(288*x^6)+(221*x^5)+(221*x^4))-(134*x^3)-(134*x^2)-(205*x)-205))/((x^8-x^4)+1)^3)))))))+(-(-(-(-(-(-(((1/6635520)*((9535*x^3)+(9535*x^2)+(294*x)+294))/((x^4-x^2)+1)^3)))))))+(-(-(-(-(-(-(((1/829440)*((74*x^3)+(74*x^2)+x+1))/(x^4+1)^3)))))))+(-(-(-(-(-(-(((1/1911029760)*((124037*x)+4800))/(x^2+x+1)^3)))))))+(-(-(-(-(-(-(((677194333/1.27401984)*E10)/(x+1)^2)))))))+(-(-(-(-(-(-(((9895/7962624)*(x+1))/(x^2+1)^3)))))))+(-(-(-(-(-(-((((8.22000147551*E11)/2.7518828544)*E12)/(x-1)^2)))))))+(-(-(-(-(-(-(((121637/1911029760)*(x-2))/((x^2-x)+1)^3)))))))+(-(-(-(-(-(((1/11520)*(((2*x^7)+(2*x^6)+(2*x^5)+(2*x^4))-x-1))/((x^8-x^4)+1)^4))))))+(-(-(-(-(-(((1/1105920)*((47*x^3)+(47*x^2)+(49*x)+49))/((x^4-x^2)+1)^4))))))+(-(-(-(-(-(((1/414720)*(x^3+x^2))/(x^4+1)^4))))))+(-(-(-(-(-(((1/318504960)*((895*x)-899))/((x^2-x)+1)^4))))))+(-(-(-(-(((1/318504960)*((305*x)-289))/(x^2+x+1)^4)))))+(-(-(-(-(((1190661481/3.057647616)*E11)/(x+1)^3)))))+(-(-(-(-(((1873/29859840)*(x+1))/(x^2+1)^4)))))+(-(-(-(-((((3.1314666503*E10)/3.057647616)*E11)/(x-1)^3)))))+(-(-(-(304567/1911029760/(x+1)^4))))+(-(-(-(((1/552960)*(x+1))/((x^4-x^2)+1)^5))))+(-(-(-(((37/19906560)*(x+1))/(x^2+1)^5))))+(-(-(-(((1166296121/1.528823808)*E11)/(x-1)^4))))+(-(-(-(1/53084160/(x^2+x+1)^5))))+(-(-(((30643/7.64411904)*E9)/(x+1)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A254233 = (((-(14929920/304567))*(A001364+(-((-(((1/30)*(((268*x^31)+(268*x^30)+(268*x^29)+(268*x^28)+(536*x^27)+(536*x^26)+(530*x^25)+(530*x^24)+(524*x^23)+(524*x^22)+(507*x^21)+(507*x^20)+(222*x^19)+(222*x^18)+(194*x^17)+(194*x^16))-(102*x^15)-(102*x^14)-(134*x^13)-(134*x^12)-(434*x^11)-(434*x^10)-(462*x^9)-(462*x^8)-(490*x^7)-(490*x^6)-(507*x^5)-(507*x^4)-(256*x^3)-(256*x^2)-(262*x)-262))/(((x^32+x^28)-x^20-x^16-x^12)+x^4+1)))+(-(-(-(-(-(-(-(-(-(-(((1/48)*(((74*x^31)+(74*x^30)+(56*x^29)+(56*x^28)+(38*x^27)+(38*x^26)+(19*x^25)+(19*x^24))-(19*x^21)-(19*x^20)-(38*x^19)-(38*x^18)-(56*x^17)-(56*x^16)-(148*x^15)-(148*x^14)-(145*x^13)-(145*x^12)-(142*x^11)-(142*x^10)-(134*x^9)-(134*x^8)-(126*x^7)-(126*x^6)-(115*x^5)-(115*x^4)-(104*x^3)-(104*x^2)-(89*x)-89))/((x^32-x^16)+1))))))))))))+(-(-(-(-(-(-(-(-(-(-(((1/1152)*(((254*x^15)+(254*x^14)+(424*x^13)+(424*x^12)+(594*x^11)+(594*x^10)+(657*x^9)+(657*x^8)+(466*x^7)+(466*x^6)+(287*x^5)+(287*x^4)+(108*x^3)+(108*x^2))-(73*x)-73))/((x^16-x^8)+1))))))))))))+(-(-(-(-(-(-(-(-(-(((1/300)*(((24*x^15)+(24*x^14)+(24*x^13)+(24*x^12))-(24*x^11)-(24*x^10)-(92*x^9)-(92*x^8)-(133*x^7)-(133*x^6)-(146*x^5)-(146*x^4)-(109*x^3)-(109*x^2)-(44*x)-44))/(((x^16+x^14)-x^10-x^8-x^6)+x^2+1)))))))))))+(-(-(-(-(-(-(-(-(-(((1/48)*(((2*x^15)+(2*x^14)+(2*x^13)+(2*x^12)+(2*x^11)+(2*x^10)+x^9+x^8)-x^5-x^4-(2*x^3)-(2*x^2)-(2*x)-2))/(x^16+1)))))))))))+(-(-(-(-(-(-(-(-(-(((1/30)*(((2*x^15)+(2*x^14)+(2*x^13)+(2*x^12)+(2*x^7)+(2*x^6)+x^5+x^4)-(2*x^3)-(2*x^2)-(2*x)-2))/((((x^16-x^12)+x^8)-x^4)+1)))))))))))+(-(-(-(-(-(-(-(-(((1/2488320)*(((442342*x^7)+(442342*x^6)+(151192*x^5)+(151192*x^4))-(582300*x^3)-(582300*x^2)-(464819*x)-464819))/((x^8-x^4)+1))))))))))+(-(-(-(-(-(-(-(-(((1/1152)*(((38*x^7)+(38*x^6)+(19*x^5)+(19*x^4))-(18*x)-18))/(x^8+1))))))))))+(-(-(-(-(-(-(-(-(((1/600)*(((13*x^7)+(24*x^6)+(14*x^5))-(13*x^4)-(38*x^3)-(51*x^2)-(41*x)-17))/(((x^8+x^7)-x^5-x^4-x^3)+x+1))))))))))+(-(-(-(-(-(-(-(-(((1/300)*(((3*x^7)+(3*x^6))-(3*x^5)-(3*x^4)-(4*x)-4))/((((x^8-x^6)+x^4)-x^2)+1))))))))))+(-(-(-(-(-(-(-(-(((1/600)*(((((((3*x^7)+(2*x^6))-(8*x^5))+(9*x^4))-(6*x^3)-(3*x^2))+(7*x))-7))/((((((x^8-x^7)+x^5)-x^4)+x^3)-x)+1))))))))))+(-(-(-(-(-(-(-(-(((1/597196800)*(((82976631*x^3)+(82976631*x^2))-(67206631*x)-67206631))/((x^4-x^2)+1))))))))))+(-(-(-(-(-(-(-(-(((1/1244160)*((19399*x^3)+(19399*x^2)+(949*x)+949))/(x^4+1))))))))))+(-(-(-(-(-(-(-(-(((1/600)*((((2*x^3)-x^2)+x)-1))/((((x^4-x^3)+x^2)-x)+1))))))))))+(-(-(-(-(-(-(-(-(((1/600)*(x^2+x+1))/(x^4+x^3+x^2+x+1))))))))))+(-(-(-(-(-(-(-(-(((1/1.719926784)*E11*((3.634782608*E9*x)+(3.782566313*E9)))/(x^2+x+1))))))))))+(-(-(-(-(-(-(-(-(((1/1.719926784)*E11*((3.634586768*E9*x)+(3.486998903*E9)))/((x^2-x)+1))))))))))+(-(-(-(-(-(-(-(-(((42227063/398131200)*(x+1))/(x^2+1))))))))))+(-(-(-(-(-(-(-(-(((1/192)*((3*x^13)+(3*x^12)+(6*x^11)+(6*x^10)+(8*x^9)+(8*x^8)+(10*x^7)+(10*x^6)+(8*x^5)+(8*x^4)+(6*x^3)+(6*x^2)+(3*x)+3))/((x^16-x^8)+1)^2)))))))))+(-(-(-(-(-(-(-(((1/138240)*(((5278*x^7)+(5278*x^6)+(3023*x^5)+(3023*x^4))-(4510*x^3)-(4510*x^2)-(4606*x)-4606))/((x^8-x^4)+1)^2))))))))+(-(-(-(-(-(-(-(((1/1152)*(((2*x^7)+(2*x^6)+x^5+x^4)-x-1))/(x^8+1)^2))))))))+(-(-(-(-(-(-(-(((1/119439360)*(((2363400*x^3)+(2363400*x^2))-(1035091*x)-1035091))/((x^4-x^2)+1)^2))))))))+(-(-(-(-(-(-(-(((1/2488320)*((3796*x^3)+(3796*x^2)+(111*x)+111))/(x^4+1)^2))))))))+(-(-(-(-(-(-(-(((1/1.146617856)*E10*((19717422*x)+10595669))/(x^2+x+1)^2))))))))+(-(-(-(-(-(-(-(((1/1.146617856)*E10*((128*x)-28839175))/((x^2-x)+1)^2))))))))+(-(-(-(-(-(-((((9.68274123479*E11)/5.5037657088)*E12)/(x+1))))))))+(-(-(-(-(-(-(((72835631/4.7775744)*E9*(x+1))/(x^2+1)^2)))))))+(-(-(-(-(-(-((((2.181899437457*E12)/2.20150628352)*E11)/(x-1))))))))+(-(-(-(-(-(-(((1/69120)*(((288*x^7)+(288*x^6)+(221*x^5)+(221*x^4))-(134*x^3)-(134*x^2)-(205*x)-205))/((x^8-x^4)+1)^3)))))))+(-(-(-(-(-(-(((1/6635520)*((9535*x^3)+(9535*x^2)+(294*x)+294))/((x^4-x^2)+1)^3)))))))+(-(-(-(-(-(-(((1/829440)*((74*x^3)+(74*x^2)+x+1))/(x^4+1)^3)))))))+(-(-(-(-(-(-(((1/1911029760)*((124037*x)+4800))/(x^2+x+1)^3)))))))+(-(-(-(-(-(-(((677194333/1.27401984)*E10)/(x+1)^2)))))))+(-(-(-(-(-(-(((9895/7962624)*(x+1))/(x^2+1)^3)))))))+(-(-(-(-(-(-((((8.22000147551*E11)/2.7518828544)*E12)/(x-1)^2)))))))+(-(-(-(-(-(-(((121637/1911029760)*(x-2))/((x^2-x)+1)^3)))))))+(-(-(-(-(-(((1/11520)*(((2*x^7)+(2*x^6)+(2*x^5)+(2*x^4))-x-1))/((x^8-x^4)+1)^4))))))+(-(-(-(-(-(((1/1105920)*((47*x^3)+(47*x^2)+(49*x)+49))/((x^4-x^2)+1)^4))))))+(-(-(-(-(-(((1/414720)*(x^3+x^2))/(x^4+1)^4))))))+(-(-(-(-(-(((1/318504960)*((895*x)-899))/((x^2-x)+1)^4))))))+(-(-(-(-(((1/318504960)*((305*x)-289))/(x^2+x+1)^4)))))+(-(-(-(-(((1190661481/3.057647616)*E11)/(x+1)^3)))))+(-(-(-(-(((1873/29859840)*(x+1))/(x^2+1)^4)))))+(-(-(-(-((((3.1314666503*E10)/3.057647616)*E11)/(x-1)^3)))))+(-(-(-(-(((1/53084160)*((2*x)-1))/((x^2-x)+1)^5)))))+(-(-(-(((1/552960)*(x+1))/((x^4-x^2)+1)^5))))+(-(-(-(((37/19906560)*(x+1))/(x^2+1)^5))))+(-(-(-(((1166296121/1.528823808)*E11)/(x-1)^4))))+(-(-(-(1/53084160/(x^2+x+1)^5))))+(-(-(((30643/7.64411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A257890 = 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A257464 = (((-((7*((((1*x^3)-(3*x^2))+(3*x))-1))/((((0.06102972048954384*x^3)-(0.1830891614686315*x^2))+(0.1830891614686315*x))-0.06102972048954384)))*integrate((A001364+(-((-(((1/30)*(((268*x^31)+(268*x^30)+(268*x^29)+(268*x^28)+(536*x^27)+(536*x^26)+(530*x^25)+(530*x^24)+(524*x^23)+(524*x^22)+(507*x^21)+(507*x^20)+(222*x^19)+(222*x^18)+(194*x^17)+(194*x^16))-(102*x^15)-(102*x^14)-(134*x^13)-(134*x^12)-(434*x^11)-(434*x^10)-(462*x^9)-(462*x^8)-(490*x^7)-(490*x^6)-(507*x^5)-(507*x^4)-(256*x^3)-(256*x^2)-(262*x)-262))/(((x^32+x^28)-x^20-x^16-x^12)+x^4+1)))+(-(-(-(-(-(-(-(-(-(-(((1/48)*(((74*x^31)+(74*x^30)+(56*x^29)+(56*x^28)+(38*x^27)+(38*x^26)+(19*x^25)+(19*x^24))-(19*x^21)-(19*x^20)-(38*x^19)-(38*x^18)-(56*x^17)-(56*x^16)-(148*x^15)-(148*x^14)-(145*x^13)-(145*x^12)-(142*x^11)-(142*x^10)-(134*x^9)-(134*x^8)-(126*x^7)-(126*x^6)-(115*x^5)-(115*x^4)-(104*x^3)-(104*x^2)-(89*x)-89))/((x^32-x^16)+1))))))))))))+(-(-(-(-(-(-(-(-(-(-(((1/1152)*(((254*x^15)+(254*x^14)+(424*x^13)+(424*x^12)+(594*x^11)+(594*x^10)+(657*x^9)+(657*x^8)+(466*x^7)+(466*x^6)+(287*x^5)+(287*x^4)+(108*x^3)+(108*x^2))-(73*x)-73))/((x^16-x^8)+1))))))))))))+(-(-(-(-(-(-(-(-(-(((1/300)*(((24*x^15)+(24*x^14)+(24*x^13)+(24*x^12))-(24*x^11)-(24*x^10)-(92*x^9)-(92*x^8)-(133*x^7)-(133*x^6)-(146*x^5)-(146*x^4)-(109*x^3)-(109*x^2)-(44*x)-44))/(((x^16+x^14)-x^10-x^8-x^6)+x^2+1)))))))))))+(-(-(-(-(-(-(-(-(-(((1/48)*(((2*x^15)+(2*x^14)+(2*x^13)+(2*x^12)+(2*x^11)+(2*x^10)+x^9+x^8)-x^5-x^4-(2*x^3)-(2*x^2)-(2*x)-2))/(x^16+1)))))))))))+(-(-(-(-(-(-(-(-(-(((1/30)*(((2*x^15)+(2*x^14)+(2*x^13)+(2*x^12)+(2*x^7)+(2*x^6)+x^5+x^4)-(2*x^3)-(2*x^2)-(2*x)-2))/((((x^16-x^12)+x^8)-x^4)+1)))))))))))+(-(-(-(-(-(-(-(-(((1/2488320)*(((442342*x^7)+(442342*x^6)+(151192*x^5)+(151192*x^4))-(582300*x^3)-(582300*x^2)-(464819*x)-464819))/((x^8-x^4)+1))))))))))+(-(-(-(-(-(-(-(-(((1/1152)*(((38*x^7)+(38*x^6)+(19*x^5)+(19*x^4))-(18*x)-18))/(x^8+1))))))))))+(-(-(-(-(-(-(-(-(((1/600)*(((13*x^7)+(24*x^6)+(14*x^5))-(13*x^4)-(38*x^3)-(51*x^2)-(41*x)-17))/(((x^8+x^7)-x^5-x^4-x^3)+x+1))))))))))+(-(-(-(-(-(-(-(-(((1/300)*(((3*x^7)+(3*x^6))-(3*x^5)-(3*x^4)-(4*x)-4))/((((x^8-x^6)+x^4)-x^2)+1))))))))))+(-(-(-(-(-(-(-(-(((1/600)*(((((((3*x^7)+(2*x^6))-(8*x^5))+(9*x^4))-(6*x^3)-(3*x^2))+(7*x))-7))/((((((x^8-x^7)+x^5)-x^4)+x^3)-x)+1))))))))))+(-(-(-(-(-(-(-(-(((1/597196800)*(((82976631*x^3)+(82976631*x^2))-(67206631*x)-67206631))/((x^4-x^2)+1))))))))))+(-(-(-(-(-(-(-(-(((1/1244160)*((19399*x^3)+(19399*x^2)+(949*x)+949))/(x^4+1))))))))))+(-(-(-(-(-(-(-(-(((1/600)*((((2*x^3)-x^2)+x)-1))/((((x^4-x^3)+x^2)-x)+1))))))))))+(-(-(-(-(-(-(-(-(((1/600)*(x^2+x+1))/(x^4+x^3+x^2+x+1))))))))))+(-(-(-(-(-(-(-(-(((1/1.719926784)*E11*((3.634782608*E9*x)+(3.782566313*E9)))/(x^2+x+1))))))))))+(-(-(-(-(-(-(-(-(((1/1.719926784)*E11*((3.634586768*E9*x)+(3.486998903*E9)))/((x^2-x)+1))))))))))+(-(-(-(-(-(-(-(-(((42227063/398131200)*(x+1))/(x^2+1))))))))))+(-(-(-(-(-(-(-(-(((1/192)*((3*x^13)+(3*x^12)+(6*x^11)+(6*x^10)+(8*x^9)+(8*x^8)+(10*x^7)+(10*x^6)+(8*x^5)+(8*x^4)+(6*x^3)+(6*x^2)+(3*x)+3))/((x^16-x^8)+1)^2)))))))))+(-(-(-(-(-(-(-(((1/138240)*(((5278*x^7)+(5278*x^6)+(3023*x^5)+(3023*x^4))-(4510*x^3)-(4510*x^2)-(4606*x)-4606))/((x^8-x^4)+1)^2))))))))+(-(-(-(-(-(-(-(((1/1152)*(((2*x^7)+(2*x^6)+x^5+x^4)-x-1))/(x^8+1)^2))))))))+(-(-(-(-(-(-(-(((1/119439360)*(((2363400*x^3)+(2363400*x^2))-(1035091*x)-1035091))/((x^4-x^2)+1)^2))))))))+(-(-(-(-(-(-(-(((1/2488320)*((3796*x^3)+(3796*x^2)+(111*x)+111))/(x^4+1)^2))))))))+(-(-(-(-(-(-(-(((1/1.146617856)*E10*((19717422*x)+10595669))/(x^2+x+1)^2))))))))+(-(-(-(-(-(-(-(((1/1.146617856)*E10*((128*x)-28839175))/((x^2-x)+1)^2))))))))+(-(-(-(-(-(-((((9.68274123479*E11)/5.5037657088)*E12)/(x+1))))))))+(-(-(-(-(-(-(((72835631/4.7775744)*E9*(x+1))/(x^2+1)^2)))))))+(-(-(-(-(-(-((((2.181899437457*E12)/2.20150628352)*E11)/(x-1))))))))+(-(-(-(-(-(-(((1/69120)*(((288*x^7)+(288*x^6)+(221*x^5)+(221*x^4))-(134*x^3)-(134*x^2)-(205*x)-205))/((x^8-x^4)+1)^3)))))))+(-(-(-(-(-(-(((1/6635520)*((9535*x^3)+(9535*x^2)+(294*x)+294))/((x^4-x^2)+1)^3)))))))+(-(-(-(-(-(-(((1/829440)*((74*x^3)+(74*x^2)+x+1))/(x^4+1)^3)))))))+(-(-(-(-(-(-(((1/1911029760)*((124037*x)+4800))/(x^2+x+1)^3)))))))+(-(-(-(-(-(-(((677194333/1.27401984)*E10)/(x+1)^2)))))))+(-(-(-(-(-(-(((9895/7962624)*(x+1))/(x^2+1)^3)))))))+(-(-(-(-(-(-((((8.22000147551*E11)/2.7518828544)*E12)/(x-1)^2)))))))+(-(-(-(-(-(-(((121637/1911029760)*(x-2))/((x^2-x)+1)^3)))))))+(-(-(-(-(-(((1/11520)*(((2*x^7)+(2*x^6)+(2*x^5)+(2*x^4))-x-1))/((x^8-x^4)+1)^4))))))+(-(-(-(-(-(((1/1105920)*((47*x^3)+(47*x^2)+(49*x)+49))/((x^4-x^2)+1)^4))))))+(-(-(-(-(-(((1/414720)*(x^3+x^2))/(x^4+1)^4))))))+(-(-(-(-(-(((1/318504960)*((895*x)-899))/((x^2-x)+1)^4))))))+(-(-(-(-(((1/318504960)*((305*x)-289))/(x^2+x+1)^4)))))+(-(-(-(-(((1190661481/3.057647616)*E11)/(x+1)^3)))))+(-(-(-(-(((1873/29859840)*(x+1))/(x^2+1)^4)))))+(-(-(-(-((((3.1314666503*E10)/3.057647616)*E11)/(x-1)^3)))))+(-(-(-(-(((1/53084160)*((2*x)-1))/((x^2-x)+1)^5)))))+(-(-(-(304567/1911029760/(x+1)^4))))+(-(-(-(((1/552960)*(x+1))/((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A257464 = 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)))+(-(-(-(304567/1911029760/(x+1)^4))))+(-(-(-(((1/552960)*(x+1))/((x^4-x^2)+1)^5))))+(-(-(-(((37/19906560)*(x+1))/(x^2+1)^5))))+(-(-(-(1/53084160/(x^2+x+1)^5))))+(-(-(((30643/7.64411904)*E9)/(x+1)^5)))+(-(-(((1/39813120)*(x+1))/(x^2+1)^6)))+(-(-(((2405893/7.64411904)*E9)/(x-1)^5)))+(-(5/84934656/(x+1)^6))+(-(15209/1911029760/(x-1)^6))+(-(((1/2.54803968)*E9)/(x+1)^7))+(-(((299/2.54803968)*E9)/(x-1)^7))+(1/1274019840/(x-1)^8))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(7/24/(x-1)^3))+(-(1/2/(x-1)^4)))
A091726 = 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A257464 = (((((((((-(1*x^5))+(5*x^4))-(10*x^3))+(10*x^2))-(5*x))+1)/((((((6.29475545163672*E)-(4*x^5)-(0.00314737772581836*x^4))+(0.00629475545163672*x^3))-(0.00629475545163672*x^2))+(0.00314737772581836*x))-(6.29475545163672*E)-4))*(A001364+(-((-(((1/30)*(((268*x^31)+(268*x^30)+(268*x^29)+(268*x^28)+(536*x^27)+(536*x^26)+(530*x^25)+(530*x^24)+(524*x^23)+(524*x^22)+(507*x^21)+(507*x^20)+(222*x^19)+(222*x^18)+(194*x^17)+(194*x^16))-(102*x^15)-(102*x^14)-(134*x^13)-(134*x^12)-(434*x^11)-(434*x^10)-(462*x^9)-(462*x^8)-(490*x^7)-(490*x^6)-(507*x^5)-(507*x^4)-(256*x^3)-(256*x^2)-(262*x)-262))/(((x^32+x^28)-x^20-x^16-x^12)+x^4+1)))+(-(-(-(-(-(-(-(-(-(-(((1/48)*(((74*x^31)+(74*x^30)+(56*x^29)+(56*x^28)+(38*x^27)+(38*x^26)+(19*x^25)+(19*x^24))-(19*x^21)-(19*x^20)-(38*x^19)-(38*x^18)-(56*x^17)-(56*x^16)-(148*x^15)-(148*x^14)-(145*x^13)-(145*x^12)-(142*x^11)-(142*x^10)-(134*x^9)-(134*x^8)-(126*x^7)-(126*x^6)-(115*x^5)-(115*x^4)-(104*x^3)-(104*x^2)-(89*x)-89))/((x^32-x^16)+1))))))))))))+(-(-(-(-(-(-(-(-(-(-(((1/1152)*(((254*x^15)+(254*x^14)+(424*x^13)+(424*x^12)+(594*x^11)+(594*x^10)+(657*x^9)+(657*x^8)+(466*x^7)+(466*x^6)+(287*x^5)+(287*x^4)+(108*x^3)+(108*x^2))-(73*x)-73))/((x^16-x^8)+1))))))))))))+(-(-(-(-(-(-(-(-(-(((1/300)*(((24*x^15)+(24*x^14)+(24*x^13)+(24*x^12))-(24*x^11)-(24*x^10)-(92*x^9)-(92*x^8)-(133*x^7)-(133*x^6)-(146*x^5)-(146*x^4)-(109*x^3)-(109*x^2)-(44*x)-44))/(((x^16+x^14)-x^10-x^8-x^6)+x^2+1)))))))))))+(-(-(-(-(-(-(-(-(-(((1/48)*(((2*x^15)+(2*x^14)+(2*x^13)+(2*x^12)+(2*x^11)+(2*x^10)+x^9+x^8)-x^5-x^4-(2*x^3)-(2*x^2)-(2*x)-2))/(x^16+1)))))))))))+(-(-(-(-(-(-(-(-(-(((1/30)*(((2*x^15)+(2*x^14)+(2*x^13)+(2*x^12)+(2*x^7)+(2*x^6)+x^5+x^4)-(2*x^3)-(2*x^2)-(2*x)-2))/((((x^16-x^12)+x^8)-x^4)+1)))))))))))+(-(-(-(-(-(-(-(-(((1/2488320)*(((442342*x^7)+(442342*x^6)+(151192*x^5)+(151192*x^4))-(582300*x^3)-(582300*x^2)-(464819*x)-464819))/((x^8-x^4)+1))))))))))+(-(-(-(-(-(-(-(-(((1/1152)*(((38*x^7)+(38*x^6)+(19*x^5)+(19*x^4))-(18*x)-18))/(x^8+1))))))))))+(-(-(-(-(-(-(-(-(((1/600)*(((13*x^7)+(24*x^6)+(14*x^5))-(13*x^4)-(38*x^3)-(51*x^2)-(41*x)-17))/(((x^8+x^7)-x^5-x^4-x^3)+x+1))))))))))+(-(-(-(-(-(-(-(-(((1/300)*(((3*x^7)+(3*x^6))-(3*x^5)-(3*x^4)-(4*x)-4))/((((x^8-x^6)+x^4)-x^2)+1))))))))))+(-(-(-(-(-(-(-(-(((1/600)*(((((((3*x^7)+(2*x^6))-(8*x^5))+(9*x^4))-(6*x^3)-(3*x^2))+(7*x))-7))/((((((x^8-x^7)+x^5)-x^4)+x^3)-x)+1))))))))))+(-(-(-(-(-(-(-(-(((1/597196800)*(((82976631*x^3)+(82976631*x^2))-(67206631*x)-67206631))/((x^4-x^2)+1))))))))))+(-(-(-(-(-(-(-(-(((1/1244160)*((19399*x^3)+(19399*x^2)+(949*x)+949))/(x^4+1))))))))))+(-(-(-(-(-(-(-(-(((1/600)*((((2*x^3)-x^2)+x)-1))/((((x^4-x^3)+x^2)-x)+1))))))))))+(-(-(-(-(-(-(-(-(((1/600)*(x^2+x+1))/(x^4+x^3+x^2+x+1))))))))))+(-(-(-(-(-(-(-(-(((1/1.719926784)*E11*((3.634782608*E9*x)+(3.782566313*E9)))/(x^2+x+1))))))))))+(-(-(-(-(-(-(-(-(((1/1.719926784)*E11*((3.634586768*E9*x)+(3.486998903*E9)))/((x^2-x)+1))))))))))+(-(-(-(-(-(-(-(-(((42227063/398131200)*(x+1))/(x^2+1))))))))))+(-(-(-(-(-(-(-(-(((1/192)*((3*x^13)+(3*x^12)+(6*x^11)+(6*x^10)+(8*x^9)+(8*x^8)+(10*x^7)+(10*x^6)+(8*x^5)+(8*x^4)+(6*x^3)+(6*x^2)+(3*x)+3))/((x^16-x^8)+1)^2)))))))))+(-(-(-(-(-(-(-(((1/138240)*(((5278*x^7)+(5278*x^6)+(3023*x^5)+(3023*x^4))-(4510*x^3)-(4510*x^2)-(4606*x)-4606))/((x^8-x^4)+1)^2))))))))+(-(-(-(-(-(-(-(((1/1152)*(((2*x^7)+(2*x^6)+x^5+x^4)-x-1))/(x^8+1)^2))))))))+(-(-(-(-(-(-(-(((1/119439360)*(((2363400*x^3)+(2363400*x^2))-(1035091*x)-1035091))/((x^4-x^2)+1)^2))))))))+(-(-(-(-(-(-(-(((1/2488320)*((3796*x^3)+(3796*x^2)+(111*x)+111))/(x^4+1)^2))))))))+(-(-(-(-(-(-(-(((1/1.146617856)*E10*((19717422*x)+10595669))/(x^2+x+1)^2))))))))+(-(-(-(-(-(-(-(((1/1.146617856)*E10*((128*x)-28839175))/((x^2-x)+1)^2))))))))+(-(-(-(-(-(-((((9.68274123479*E11)/5.5037657088)*E12)/(x+1))))))))+(-(-(-(-(-(-(((72835631/4.7775744)*E9*(x+1))/(x^2+1)^2)))))))+(-(-(-(-(-(-((((2.181899437457*E12)/2.20150628352)*E11)/(x-1))))))))+(-(-(-(-(-(-(((1/69120)*(((288*x^7)+(288*x^6)+(221*x^5)+(221*x^4))-(134*x^3)-(134*x^2)-(205*x)-205))/((x^8-x^4)+1)^3)))))))+(-(-(-(-(-(-(((1/6635520)*((9535*x^3)+(9535*x^2)+(294*x)+294))/((x^4-x^2)+1)^3)))))))+(-(-(-(-(-(-(((1/829440)*((74*x^3)+(74*x^2)+x+1))/(x^4+1)^3)))))))+(-(-(-(-(-(-(((1/1911029760)*((124037*x)+4800))/(x^2+x+1)^3)))))))+(-(-(-(-(-(-(((677194333/1.27401984)*E10)/(x+1)^2)))))))+(-(-(-(-(-(-(((9895/7962624)*(x+1))/(x^2+1)^3)))))))+(-(-(-(-(-(-((((8.22000147551*E11)/2.7518828544)*E12)/(x-1)^2)))))))+(-(-(-(-(-(-(((121637/1911029760)*(x-2))/((x^2-x)+1)^3)))))))+(-(-(-(-(-(((1/11520)*(((2*x^7)+(2*x^6)+(2*x^5)+(2*x^4))-x-1))/((x^8-x^4)+1)^4))))))+(-(-(-(-(-(((1/1105920)*((47*x^3)+(47*x^2)+(49*x)+49))/((x^4-x^2)+1)^4))))))+(-(-(-(-(-(((1/414720)*(x^3+x^2))/(x^4+1)^4))))))+(-(-(-(-(-(((1/318504960)*((895*x)-899))/((x^2-x)+1)^4))))))+(-(-(-(-(((1/318504960)*((305*x)-289))/(x^2+x+1)^4)))))+(-(-(-(-(((1190661481/3.057647616)*E11)/(x+1)^3)))))+(-(-(-(-(((1873/29859840)*(x+1))/(x^2+1)^4)))))+(-(-(-(-((((3.1314666503*E10)/3.057647616)*E11)/(x-1)^3)))))+(-(-(-(-(((1/53084160)*((2*x)-1))/((x^2-x)+1)^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A257890 = ((((((((((-(1*x^6))+(6*x^5))-(15*x^4))+(20*x^3))-(15*x^2))+(6*x))-1)/(((((((0.00157368886290918*x^6)-(0.00944213317745508*x^5))+(0.0236053329436377*x^4))-(0.0314737772581836*x^3))+(0.0236053329436377*x^2))-(0.00944213317745508*x))+0.00157368886290918))*differential((A001364+(-((-(((1/30)*(((268*x^31)+(268*x^30)+(268*x^29)+(268*x^28)+(536*x^27)+(536*x^26)+(530*x^25)+(530*x^24)+(524*x^23)+(524*x^22)+(507*x^21)+(507*x^20)+(222*x^19)+(222*x^18)+(194*x^17)+(194*x^16))-(102*x^15)-(102*x^14)-(134*x^13)-(134*x^12)-(434*x^11)-(434*x^10)-(462*x^9)-(462*x^8)-(490*x^7)-(490*x^6)-(507*x^5)-(507*x^4)-(256*x^3)-(256*x^2)-(262*x)-262))/(((x^32+x^28)-x^20-x^16-x^12)+x^4+1)))+(-(-(-(-(-(-(-(-(-(-(((1/48)*(((74*x^31)+(74*x^30)+(56*x^29)+(56*x^28)+(38*x^27)+(38*x^26)+(19*x^25)+(19*x^24))-(19*x^21)-(19*x^20)-(38*x^19)-(38*x^18)-(56*x^17)-(56*x^16)-(148*x^15)-(148*x^14)-(145*x^13)-(145*x^12)-(142*x^11)-(142*x^10)-(134*x^9)-(134*x^8)-(126*x^7)-(126*x^6)-(115*x^5)-(115*x^4)-(104*x^3)-(104*x^2)-(89*x)-89))/((x^32-x^16)+1))))))))))))+(-(-(-(-(-(-(-(-(-(-(((1/1152)*(((254*x^15)+(254*x^14)+(424*x^13)+(424*x^12)+(594*x^11)+(594*x^10)+(657*x^9)+(657*x^8)+(466*x^7)+(466*x^6)+(287*x^5)+(287*x^4)+(108*x^3)+(108*x^2))-(73*x)-73))/((x^16-x^8)+1))))))))))))+(-(-(-(-(-(-(-(-(-(((1/300)*(((24*x^15)+(24*x^14)+(24*x^13)+(24*x^12))-(24*x^11)-(24*x^10)-(92*x^9)-(92*x^8)-(133*x^7)-(133*x^6)-(146*x^5)-(146*x^4)-(109*x^3)-(109*x^2)-(44*x)-44))/(((x^16+x^14)-x^10-x^8-x^6)+x^2+1)))))))))))+(-(-(-(-(-(-(-(-(-(((1/48)*(((2*x^15)+(2*x^14)+(2*x^13)+(2*x^12)+(2*x^11)+(2*x^10)+x^9+x^8)-x^5-x^4-(2*x^3)-(2*x^2)-(2*x)-2))/(x^16+1)))))))))))+(-(-(-(-(-(-(-(-(-(((1/30)*(((2*x^15)+(2*x^14)+(2*x^13)+(2*x^12)+(2*x^7)+(2*x^6)+x^5+x^4)-(2*x^3)-(2*x^2)-(2*x)-2))/((((x^16-x^12)+x^8)-x^4)+1)))))))))))+(-(-(-(-(-(-(-(-(((1/2488320)*(((442342*x^7)+(442342*x^6)+(151192*x^5)+(151192*x^4))-(582300*x^3)-(582300*x^2)-(464819*x)-464819))/((x^8-x^4)+1))))))))))+(-(-(-(-(-(-(-(-(((1/1152)*(((38*x^7)+(38*x^6)+(19*x^5)+(19*x^4))-(18*x)-18))/(x^8+1))))))))))+(-(-(-(-(-(-(-(-(((1/600)*(((13*x^7)+(24*x^6)+(14*x^5))-(13*x^4)-(38*x^3)-(51*x^2)-(41*x)-17))/(((x^8+x^7)-x^5-x^4-x^3)+x+1))))))))))+(-(-(-(-(-(-(-(-(((1/300)*(((3*x^7)+(3*x^6))-(3*x^5)-(3*x^4)-(4*x)-4))/((((x^8-x^6)+x^4)-x^2)+1))))))))))+(-(-(-(-(-(-(-(-(((1/600)*(((((((3*x^7)+(2*x^6))-(8*x^5))+(9*x^4))-(6*x^3)-(3*x^2))+(7*x))-7))/((((((x^8-x^7)+x^5)-x^4)+x^3)-x)+1))))))))))+(-(-(-(-(-(-(-(-(((1/597196800)*(((82976631*x^3)+(82976631*x^2))-(67206631*x)-67206631))/((x^4-x^2)+1))))))))))+(-(-(-(-(-(-(-(-(((1/1244160)*((19399*x^3)+(19399*x^2)+(949*x)+949))/(x^4+1))))))))))+(-(-(-(-(-(-(-(-(((1/600)*((((2*x^3)-x^2)+x)-1))/((((x^4-x^3)+x^2)-x)+1))))))))))+(-(-(-(-(-(-(-(-(((1/600)*(x^2+x+1))/(x^4+x^3+x^2+x+1))))))))))+(-(-(-(-(-(-(-(-(((1/1.719926784)*E11*((3.634782608*E9*x)+(3.782566313*E9)))/(x^2+x+1))))))))))+(-(-(-(-(-(-(-(-(((1/1.719926784)*E11*((3.634586768*E9*x)+(3.486998903*E9)))/((x^2-x)+1))))))))))+(-(-(-(-(-(-(-(-(((42227063/398131200)*(x+1))/(x^2+1))))))))))+(-(-(-(-(-(-(-(-(((1/192)*((3*x^13)+(3*x^12)+(6*x^11)+(6*x^10)+(8*x^9)+(8*x^8)+(10*x^7)+(10*x^6)+(8*x^5)+(8*x^4)+(6*x^3)+(6*x^2)+(3*x)+3))/((x^16-x^8)+1)^2)))))))))+(-(-(-(-(-(-(-(((1/138240)*(((5278*x^7)+(5278*x^6)+(3023*x^5)+(3023*x^4))-(4510*x^3)-(4510*x^2)-(4606*x)-4606))/((x^8-x^4)+1)^2))))))))+(-(-(-(-(-(-(-(((1/1152)*(((2*x^7)+(2*x^6)+x^5+x^4)-x-1))/(x^8+1)^2))))))))+(-(-(-(-(-(-(-(((1/119439360)*(((2363400*x^3)+(2363400*x^2))-(1035091*x)-1035091))/((x^4-x^2)+1)^2))))))))+(-(-(-(-(-(-(-(((1/2488320)*((3796*x^3)+(3796*x^2)+(111*x)+111))/(x^4+1)^2))))))))+(-(-(-(-(-(-(-(((1/1.146617856)*E10*((19717422*x)+10595669))/(x^2+x+1)^2))))))))+(-(-(-(-(-(-(-(((1/1.146617856)*E10*((128*x)-28839175))/((x^2-x)+1)^2))))))))+(-(-(-(-(-(-((((9.68274123479*E11)/5.5037657088)*E12)/(x+1))))))))+(-(-(-(-(-(-(((72835631/4.7775744)*E9*(x+1))/(x^2+1)^2)))))))+(-(-(-(-(-(-((((2.181899437457*E12)/2.20150628352)*E11)/(x-1))))))))+(-(-(-(-(-(-(((1/69120)*(((288*x^7)+(288*x^6)+(221*x^5)+(221*x^4))-(134*x^3)-(134*x^2)-(205*x)-205))/((x^8-x^4)+1)^3)))))))+(-(-(-(-(-(-(((1/6635520)*((9535*x^3)+(9535*x^2)+(294*x)+294))/((x^4-x^2)+1)^3)))))))+(-(-(-(-(-(-(((1/829440)*((74*x^3)+(74*x^2)+x+1))/(x^4+1)^3)))))))+(-(-(-(-(-(-(((1/1911029760)*((124037*x)+4800))/(x^2+x+1)^3)))))))+(-(-(-(-(-(-(((677194333/1.27401984)*E10)/(x+1)^2)))))))+(-(-(-(-(-(-(((9895/7962624)*(x+1))/(x^2+1)^3)))))))+(-(-(-(-(-(-((((8.22000147551*E11)/2.7518828544)*E12)/(x-1)^2)))))))+(-(-(-(-(-(-(((121637/1911029760)*(x-2))/((x^2-x)+1)^3)))))))+(-(-(-(-(-(((1/11520)*(((2*x^7)+(2*x^6)+(2*x^5)+(2*x^4))-x-1))/((x^8-x^4)+1)^4))))))+(-(-(-(-(-(((1/1105920)*((47*x^3)+(47*x^2)+(49*x)+49))/((x^4-x^2)+1)^4))))))+(-(-(-(-(-(((1/414720)*(x^3+x^2))/(x^4+1)^4))))))+(-(-(-(-(-(((1/318504960)*((895*x)-899))/((x^2-x)+1)^4))))))+(-(-(-(-(((1/318504960)*((305*x)-289))/(x^2+x+1)^4)))))+(-(-(-(-(((1190661481/3.057647616)*E11)/(x+1)^3)))))+(-(-(-(-(((1873/29859840)*(x+1))/(x^2+1)^4)))))+(-(-(-(-((((3.1314666503*E10)/3.057647616)*E11)/(x-1)^3)))))+(-(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A257890 = (((-(1911029760/15209))*(A001364+(-((-(((1/30)*(((268*x^31)+(268*x^30)+(268*x^29)+(268*x^28)+(536*x^27)+(536*x^26)+(530*x^25)+(530*x^24)+(524*x^23)+(524*x^22)+(507*x^21)+(507*x^20)+(222*x^19)+(222*x^18)+(194*x^17)+(194*x^16))-(102*x^15)-(102*x^14)-(134*x^13)-(134*x^12)-(434*x^11)-(434*x^10)-(462*x^9)-(462*x^8)-(490*x^7)-(490*x^6)-(507*x^5)-(507*x^4)-(256*x^3)-(256*x^2)-(262*x)-262))/(((x^32+x^28)-x^20-x^16-x^12)+x^4+1)))+(-(-(-(-(-(-(-(-(-(-(((1/48)*(((74*x^31)+(74*x^30)+(56*x^29)+(56*x^28)+(38*x^27)+(38*x^26)+(19*x^25)+(19*x^24))-(19*x^21)-(19*x^20)-(38*x^19)-(38*x^18)-(56*x^17)-(56*x^16)-(148*x^15)-(148*x^14)-(145*x^13)-(145*x^12)-(142*x^11)-(142*x^10)-(134*x^9)-(134*x^8)-(126*x^7)-(126*x^6)-(115*x^5)-(115*x^4)-(104*x^3)-(104*x^2)-(89*x)-89))/((x^32-x^16)+1))))))))))))+(-(-(-(-(-(-(-(-(-(-(((1/1152)*(((254*x^15)+(254*x^14)+(424*x^13)+(424*x^12)+(594*x^11)+(594*x^10)+(657*x^9)+(657*x^8)+(466*x^7)+(466*x^6)+(287*x^5)+(287*x^4)+(108*x^3)+(108*x^2))-(73*x)-73))/((x^16-x^8)+1))))))))))))+(-(-(-(-(-(-(-(-(-(((1/300)*(((24*x^15)+(24*x^14)+(24*x^13)+(24*x^12))-(24*x^11)-(24*x^10)-(92*x^9)-(92*x^8)-(133*x^7)-(133*x^6)-(146*x^5)-(146*x^4)-(109*x^3)-(109*x^2)-(44*x)-44))/(((x^16+x^14)-x^10-x^8-x^6)+x^2+1)))))))))))+(-(-(-(-(-(-(-(-(-(((1/48)*(((2*x^15)+(2*x^14)+(2*x^13)+(2*x^12)+(2*x^11)+(2*x^10)+x^9+x^8)-x^5-x^4-(2*x^3)-(2*x^2)-(2*x)-2))/(x^16+1)))))))))))+(-(-(-(-(-(-(-(-(-(((1/30)*(((2*x^15)+(2*x^14)+(2*x^13)+(2*x^12)+(2*x^7)+(2*x^6)+x^5+x^4)-(2*x^3)-(2*x^2)-(2*x)-2))/((((x^16-x^12)+x^8)-x^4)+1)))))))))))+(-(-(-(-(-(-(-(-(((1/2488320)*(((442342*x^7)+(442342*x^6)+(151192*x^5)+(151192*x^4))-(582300*x^3)-(582300*x^2)-(464819*x)-464819))/((x^8-x^4)+1))))))))))+(-(-(-(-(-(-(-(-(((1/1152)*(((38*x^7)+(38*x^6)+(19*x^5)+(19*x^4))-(18*x)-18))/(x^8+1))))))))))+(-(-(-(-(-(-(-(-(((1/600)*(((13*x^7)+(24*x^6)+(14*x^5))-(13*x^4)-(38*x^3)-(51*x^2)-(41*x)-17))/(((x^8+x^7)-x^5-x^4-x^3)+x+1))))))))))+(-(-(-(-(-(-(-(-(((1/300)*(((3*x^7)+(3*x^6))-(3*x^5)-(3*x^4)-(4*x)-4))/((((x^8-x^6)+x^4)-x^2)+1))))))))))+(-(-(-(-(-(-(-(-(((1/600)*(((((((3*x^7)+(2*x^6))-(8*x^5))+(9*x^4))-(6*x^3)-(3*x^2))+(7*x))-7))/((((((x^8-x^7)+x^5)-x^4)+x^3)-x)+1))))))))))+(-(-(-(-(-(-(-(-(((1/597196800)*(((82976631*x^3)+(82976631*x^2))-(67206631*x)-67206631))/((x^4-x^2)+1))))))))))+(-(-(-(-(-(-(-(-(((1/1244160)*((19399*x^3)+(19399*x^2)+(949*x)+949))/(x^4+1))))))))))+(-(-(-(-(-(-(-(-(((1/600)*((((2*x^3)-x^2)+x)-1))/((((x^4-x^3)+x^2)-x)+1))))))))))+(-(-(-(-(-(-(-(-(((1/600)*(x^2+x+1))/(x^4+x^3+x^2+x+1))))))))))+(-(-(-(-(-(-(-(-(((1/1.719926784)*E11*((3.634782608*E9*x)+(3.782566313*E9)))/(x^2+x+1))))))))))+(-(-(-(-(-(-(-(-(((1/1.719926784)*E11*((3.634586768*E9*x)+(3.486998903*E9)))/((x^2-x)+1))))))))))+(-(-(-(-(-(-(-(-(((42227063/398131200)*(x+1))/(x^2+1))))))))))+(-(-(-(-(-(-(-(-(((1/192)*((3*x^13)+(3*x^12)+(6*x^11)+(6*x^10)+(8*x^9)+(8*x^8)+(10*x^7)+(10*x^6)+(8*x^5)+(8*x^4)+(6*x^3)+(6*x^2)+(3*x)+3))/((x^16-x^8)+1)^2)))))))))+(-(-(-(-(-(-(-(((1/138240)*(((5278*x^7)+(5278*x^6)+(3023*x^5)+(3023*x^4))-(4510*x^3)-(4510*x^2)-(4606*x)-4606))/((x^8-x^4)+1)^2))))))))+(-(-(-(-(-(-(-(((1/1152)*(((2*x^7)+(2*x^6)+x^5+x^4)-x-1))/(x^8+1)^2))))))))+(-(-(-(-(-(-(-(((1/119439360)*(((2363400*x^3)+(2363400*x^2))-(1035091*x)-1035091))/((x^4-x^2)+1)^2))))))))+(-(-(-(-(-(-(-(((1/2488320)*((3796*x^3)+(3796*x^2)+(111*x)+111))/(x^4+1)^2))))))))+(-(-(-(-(-(-(-(((1/1.146617856)*E10*((19717422*x)+10595669))/(x^2+x+1)^2))))))))+(-(-(-(-(-(-(-(((1/1.146617856)*E10*((128*x)-28839175))/((x^2-x)+1)^2))))))))+(-(-(-(-(-(-((((9.68274123479*E11)/5.5037657088)*E12)/(x+1))))))))+(-(-(-(-(-(-(((72835631/4.7775744)*E9*(x+1))/(x^2+1)^2)))))))+(-(-(-(-(-(-((((2.181899437457*E12)/2.20150628352)*E11)/(x-1))))))))+(-(-(-(-(-(-(((1/69120)*(((288*x^7)+(288*x^6)+(221*x^5)+(221*x^4))-(134*x^3)-(134*x^2)-(205*x)-205))/((x^8-x^4)+1)^3)))))))+(-(-(-(-(-(-(((1/6635520)*((9535*x^3)+(9535*x^2)+(294*x)+294))/((x^4-x^2)+1)^3)))))))+(-(-(-(-(-(-(((1/829440)*((74*x^3)+(74*x^2)+x+1))/(x^4+1)^3)))))))+(-(-(-(-(-(-(((1/1911029760)*((124037*x)+4800))/(x^2+x+1)^3)))))))+(-(-(-(-(-(-(((677194333/1.27401984)*E10)/(x+1)^2)))))))+(-(-(-(-(-(-(((9895/7962624)*(x+1))/(x^2+1)^3)))))))+(-(-(-(-(-(-((((8.22000147551*E11)/2.7518828544)*E12)/(x-1)^2)))))))+(-(-(-(-(-(-(((121637/1911029760)*(x-2))/((x^2-x)+1)^3)))))))+(-(-(-(-(-(((1/11520)*(((2*x^7)+(2*x^6)+(2*x^5)+(2*x^4))-x-1))/((x^8-x^4)+1)^4))))))+(-(-(-(-(-(((1/1105920)*((47*x^3)+(47*x^2)+(49*x)+49))/((x^4-x^2)+1)^4))))))+(-(-(-(-(-(((1/414720)*(x^3+x^2))/(x^4+1)^4))))))+(-(-(-(-(-(((1/318504960)*((895*x)-899))/((x^2-x)+1)^4))))))+(-(-(-(-(((1/318504960)*((305*x)-289))/(x^2+x+1)^4)))))+(-(-(-(-(((1190661481/3.057647616)*E11)/(x+1)^3)))))+(-(-(-(-(((1873/29859840)*(x+1))/(x^2+1)^4)))))+(-(-(-(-((((3.1314666503*E10)/3.057647616)*E11)/(x-1)^3)))))+(-(-(-(-(((1/53084160)*((2*x)-1))/((x^2-x)+1)^5)))))+(-(-(-(304567/1911029760/(x+1)^4))))+(-(-(-(((1/552960)*(x+1))/((x^4-x^2)+1)^5))))+(-(-(-(((37/19906560)*(x+1))/(x^2+1)^5))))+(-(-(-(((1166296121/1.528823808)*E11)/(x-1)^4))))+(-(-(-(1/5308416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A257201 = (((637009920/15209)*differential((A001364+(-((-(((1/30)*(((268*x^31)+(268*x^30)+(268*x^29)+(268*x^28)+(536*x^27)+(536*x^26)+(530*x^25)+(530*x^24)+(524*x^23)+(524*x^22)+(507*x^21)+(507*x^20)+(222*x^19)+(222*x^18)+(194*x^17)+(194*x^16))-(102*x^15)-(102*x^14)-(134*x^13)-(134*x^12)-(434*x^11)-(434*x^10)-(462*x^9)-(462*x^8)-(490*x^7)-(490*x^6)-(507*x^5)-(507*x^4)-(256*x^3)-(256*x^2)-(262*x)-262))/(((x^32+x^28)-x^20-x^16-x^12)+x^4+1)))+(-(-(-(-(-(-(-(-(-(-(((1/48)*(((74*x^31)+(74*x^30)+(56*x^29)+(56*x^28)+(38*x^27)+(38*x^26)+(19*x^25)+(19*x^24))-(19*x^21)-(19*x^20)-(38*x^19)-(38*x^18)-(56*x^17)-(56*x^16)-(148*x^15)-(148*x^14)-(145*x^13)-(145*x^12)-(142*x^11)-(142*x^10)-(134*x^9)-(134*x^8)-(126*x^7)-(126*x^6)-(115*x^5)-(115*x^4)-(104*x^3)-(104*x^2)-(89*x)-89))/((x^32-x^16)+1))))))))))))+(-(-(-(-(-(-(-(-(-(-(((1/1152)*(((254*x^15)+(254*x^14)+(424*x^13)+(424*x^12)+(594*x^11)+(594*x^10)+(657*x^9)+(657*x^8)+(466*x^7)+(466*x^6)+(287*x^5)+(287*x^4)+(108*x^3)+(108*x^2))-(73*x)-73))/((x^16-x^8)+1))))))))))))+(-(-(-(-(-(-(-(-(-(((1/300)*(((24*x^15)+(24*x^14)+(24*x^13)+(24*x^12))-(24*x^11)-(24*x^10)-(92*x^9)-(92*x^8)-(133*x^7)-(133*x^6)-(146*x^5)-(146*x^4)-(109*x^3)-(109*x^2)-(44*x)-44))/(((x^16+x^14)-x^10-x^8-x^6)+x^2+1)))))))))))+(-(-(-(-(-(-(-(-(-(((1/48)*(((2*x^15)+(2*x^14)+(2*x^13)+(2*x^12)+(2*x^11)+(2*x^10)+x^9+x^8)-x^5-x^4-(2*x^3)-(2*x^2)-(2*x)-2))/(x^16+1)))))))))))+(-(-(-(-(-(-(-(-(-(((1/30)*(((2*x^15)+(2*x^14)+(2*x^13)+(2*x^12)+(2*x^7)+(2*x^6)+x^5+x^4)-(2*x^3)-(2*x^2)-(2*x)-2))/((((x^16-x^12)+x^8)-x^4)+1)))))))))))+(-(-(-(-(-(-(-(-(((1/2488320)*(((442342*x^7)+(442342*x^6)+(151192*x^5)+(151192*x^4))-(582300*x^3)-(582300*x^2)-(464819*x)-464819))/((x^8-x^4)+1))))))))))+(-(-(-(-(-(-(-(-(((1/1152)*(((38*x^7)+(38*x^6)+(19*x^5)+(19*x^4))-(18*x)-18))/(x^8+1))))))))))+(-(-(-(-(-(-(-(-(((1/600)*(((13*x^7)+(24*x^6)+(14*x^5))-(13*x^4)-(38*x^3)-(51*x^2)-(41*x)-17))/(((x^8+x^7)-x^5-x^4-x^3)+x+1))))))))))+(-(-(-(-(-(-(-(-(((1/300)*(((3*x^7)+(3*x^6))-(3*x^5)-(3*x^4)-(4*x)-4))/((((x^8-x^6)+x^4)-x^2)+1))))))))))+(-(-(-(-(-(-(-(-(((1/600)*(((((((3*x^7)+(2*x^6))-(8*x^5))+(9*x^4))-(6*x^3)-(3*x^2))+(7*x))-7))/((((((x^8-x^7)+x^5)-x^4)+x^3)-x)+1))))))))))+(-(-(-(-(-(-(-(-(((1/597196800)*(((82976631*x^3)+(82976631*x^2))-(67206631*x)-67206631))/((x^4-x^2)+1))))))))))+(-(-(-(-(-(-(-(-(((1/1244160)*((19399*x^3)+(19399*x^2)+(949*x)+949))/(x^4+1))))))))))+(-(-(-(-(-(-(-(-(((1/600)*((((2*x^3)-x^2)+x)-1))/((((x^4-x^3)+x^2)-x)+1))))))))))+(-(-(-(-(-(-(-(-(((1/600)*(x^2+x+1))/(x^4+x^3+x^2+x+1))))))))))+(-(-(-(-(-(-(-(-(((1/1.719926784)*E11*((3.634782608*E9*x)+(3.782566313*E9)))/(x^2+x+1))))))))))+(-(-(-(-(-(-(-(-(((1/1.719926784)*E11*((3.634586768*E9*x)+(3.486998903*E9)))/((x^2-x)+1))))))))))+(-(-(-(-(-(-(-(-(((42227063/398131200)*(x+1))/(x^2+1))))))))))+(-(-(-(-(-(-(-(-(((1/192)*((3*x^13)+(3*x^12)+(6*x^11)+(6*x^10)+(8*x^9)+(8*x^8)+(10*x^7)+(10*x^6)+(8*x^5)+(8*x^4)+(6*x^3)+(6*x^2)+(3*x)+3))/((x^16-x^8)+1)^2)))))))))+(-(-(-(-(-(-(-(((1/138240)*(((5278*x^7)+(5278*x^6)+(3023*x^5)+(3023*x^4))-(4510*x^3)-(4510*x^2)-(4606*x)-4606))/((x^8-x^4)+1)^2))))))))+(-(-(-(-(-(-(-(((1/1152)*(((2*x^7)+(2*x^6)+x^5+x^4)-x-1))/(x^8+1)^2))))))))+(-(-(-(-(-(-(-(((1/119439360)*(((2363400*x^3)+(2363400*x^2))-(1035091*x)-1035091))/((x^4-x^2)+1)^2))))))))+(-(-(-(-(-(-(-(((1/2488320)*((3796*x^3)+(3796*x^2)+(111*x)+111))/(x^4+1)^2))))))))+(-(-(-(-(-(-(-(((1/1.146617856)*E10*((19717422*x)+10595669))/(x^2+x+1)^2))))))))+(-(-(-(-(-(-(-(((1/1.146617856)*E10*((128*x)-28839175))/((x^2-x)+1)^2))))))))+(-(-(-(-(-(-((((9.68274123479*E11)/5.5037657088)*E12)/(x+1))))))))+(-(-(-(-(-(-(((72835631/4.7775744)*E9*(x+1))/(x^2+1)^2)))))))+(-(-(-(-(-(-((((2.181899437457*E12)/2.20150628352)*E11)/(x-1))))))))+(-(-(-(-(-(-(((1/69120)*(((288*x^7)+(288*x^6)+(221*x^5)+(221*x^4))-(134*x^3)-(134*x^2)-(205*x)-205))/((x^8-x^4)+1)^3)))))))+(-(-(-(-(-(-(((1/6635520)*((9535*x^3)+(9535*x^2)+(294*x)+294))/((x^4-x^2)+1)^3)))))))+(-(-(-(-(-(-(((1/829440)*((74*x^3)+(74*x^2)+x+1))/(x^4+1)^3)))))))+(-(-(-(-(-(-(((1/1911029760)*((124037*x)+4800))/(x^2+x+1)^3)))))))+(-(-(-(-(-(-(((677194333/1.27401984)*E10)/(x+1)^2)))))))+(-(-(-(-(-(-(((9895/7962624)*(x+1))/(x^2+1)^3)))))))+(-(-(-(-(-(-((((8.22000147551*E11)/2.7518828544)*E12)/(x-1)^2)))))))+(-(-(-(-(-(-(((121637/1911029760)*(x-2))/((x^2-x)+1)^3)))))))+(-(-(-(-(-(((1/11520)*(((2*x^7)+(2*x^6)+(2*x^5)+(2*x^4))-x-1))/((x^8-x^4)+1)^4))))))+(-(-(-(-(-(((1/1105920)*((47*x^3)+(47*x^2)+(49*x)+49))/((x^4-x^2)+1)^4))))))+(-(-(-(-(-(((1/414720)*(x^3+x^2))/(x^4+1)^4))))))+(-(-(-(-(-(((1/318504960)*((895*x)-899))/((x^2-x)+1)^4))))))+(-(-(-(-(((1/318504960)*((305*x)-289))/(x^2+x+1)^4)))))+(-(-(-(-(((1190661481/3.057647616)*E11)/(x+1)^3)))))+(-(-(-(-(((1873/29859840)*(x+1))/(x^2+1)^4)))))+(-(-(-(-((((3.1314666503*E10)/3.057647616)*E11)/(x-1)^3)))))+(-(-(-(-(((1/53084160)*((2*x)-1))/((x^2-x)+1)^5)))))+(-(-(-(304567/1911029760/(x+1)^4))))+(-(-(-(((1/552960)*(x+1))/((x^4-x^2)+1)^5))))+(-(-(-(((37/19906560)*(x+1))/(x^2+1)^5))))+(-(-(-(((1166296121/1.528823808)*E11)/(x-1)^4))))+(-(-(-(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A257201 = 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A256181 = ((1.172146028544*E13*differential((A001364+(-((-(((1/30)*(((268*x^31)+(268*x^30)+(268*x^29)+(268*x^28)+(536*x^27)+(536*x^26)+(530*x^25)+(530*x^24)+(524*x^23)+(524*x^22)+(507*x^21)+(507*x^20)+(222*x^19)+(222*x^18)+(194*x^17)+(194*x^16))-(102*x^15)-(102*x^14)-(134*x^13)-(134*x^12)-(434*x^11)-(434*x^10)-(462*x^9)-(462*x^8)-(490*x^7)-(490*x^6)-(507*x^5)-(507*x^4)-(256*x^3)-(256*x^2)-(262*x)-262))/(((x^32+x^28)-x^20-x^16-x^12)+x^4+1)))+(-(-(-(-(-(-(-(-(-(-(((1/48)*(((74*x^31)+(74*x^30)+(56*x^29)+(56*x^28)+(38*x^27)+(38*x^26)+(19*x^25)+(19*x^24))-(19*x^21)-(19*x^20)-(38*x^19)-(38*x^18)-(56*x^17)-(56*x^16)-(148*x^15)-(148*x^14)-(145*x^13)-(145*x^12)-(142*x^11)-(142*x^10)-(134*x^9)-(134*x^8)-(126*x^7)-(126*x^6)-(115*x^5)-(115*x^4)-(104*x^3)-(104*x^2)-(89*x)-89))/((x^32-x^16)+1))))))))))))+(-(-(-(-(-(-(-(-(-(-(((1/1152)*(((254*x^15)+(254*x^14)+(424*x^13)+(424*x^12)+(594*x^11)+(594*x^10)+(657*x^9)+(657*x^8)+(466*x^7)+(466*x^6)+(287*x^5)+(287*x^4)+(108*x^3)+(108*x^2))-(73*x)-73))/((x^16-x^8)+1))))))))))))+(-(-(-(-(-(-(-(-(-(((1/300)*(((24*x^15)+(24*x^14)+(24*x^13)+(24*x^12))-(24*x^11)-(24*x^10)-(92*x^9)-(92*x^8)-(133*x^7)-(133*x^6)-(146*x^5)-(146*x^4)-(109*x^3)-(109*x^2)-(44*x)-44))/(((x^16+x^14)-x^10-x^8-x^6)+x^2+1)))))))))))+(-(-(-(-(-(-(-(-(-(((1/48)*(((2*x^15)+(2*x^14)+(2*x^13)+(2*x^12)+(2*x^11)+(2*x^10)+x^9+x^8)-x^5-x^4-(2*x^3)-(2*x^2)-(2*x)-2))/(x^16+1)))))))))))+(-(-(-(-(-(-(-(-(-(((1/30)*(((2*x^15)+(2*x^14)+(2*x^13)+(2*x^12)+(2*x^7)+(2*x^6)+x^5+x^4)-(2*x^3)-(2*x^2)-(2*x)-2))/((((x^16-x^12)+x^8)-x^4)+1)))))))))))+(-(-(-(-(-(-(-(-(((1/2488320)*(((442342*x^7)+(442342*x^6)+(151192*x^5)+(151192*x^4))-(582300*x^3)-(582300*x^2)-(464819*x)-464819))/((x^8-x^4)+1))))))))))+(-(-(-(-(-(-(-(-(((1/1152)*(((38*x^7)+(38*x^6)+(19*x^5)+(19*x^4))-(18*x)-18))/(x^8+1))))))))))+(-(-(-(-(-(-(-(-(((1/600)*(((13*x^7)+(24*x^6)+(14*x^5))-(13*x^4)-(38*x^3)-(51*x^2)-(41*x)-17))/(((x^8+x^7)-x^5-x^4-x^3)+x+1))))))))))+(-(-(-(-(-(-(-(-(((1/300)*(((3*x^7)+(3*x^6))-(3*x^5)-(3*x^4)-(4*x)-4))/((((x^8-x^6)+x^4)-x^2)+1))))))))))+(-(-(-(-(-(-(-(-(((1/600)*(((((((3*x^7)+(2*x^6))-(8*x^5))+(9*x^4))-(6*x^3)-(3*x^2))+(7*x))-7))/((((((x^8-x^7)+x^5)-x^4)+x^3)-x)+1))))))))))+(-(-(-(-(-(-(-(-(((1/597196800)*(((82976631*x^3)+(82976631*x^2))-(67206631*x)-67206631))/((x^4-x^2)+1))))))))))+(-(-(-(-(-(-(-(-(((1/1244160)*((19399*x^3)+(19399*x^2)+(949*x)+949))/(x^4+1))))))))))+(-(-(-(-(-(-(-(-(((1/600)*((((2*x^3)-x^2)+x)-1))/((((x^4-x^3)+x^2)-x)+1))))))))))+(-(-(-(-(-(-(-(-(((1/600)*(x^2+x+1))/(x^4+x^3+x^2+x+1))))))))))+(-(-(-(-(-(-(-(-(((1/1.719926784)*E11*((3.634782608*E9*x)+(3.782566313*E9)))/(x^2+x+1))))))))))+(-(-(-(-(-(-(-(-(((1/1.719926784)*E11*((3.634586768*E9*x)+(3.486998903*E9)))/((x^2-x)+1))))))))))+(-(-(-(-(-(-(-(-(((42227063/398131200)*(x+1))/(x^2+1))))))))))+(-(-(-(-(-(-(-(-(((1/192)*((3*x^13)+(3*x^12)+(6*x^11)+(6*x^10)+(8*x^9)+(8*x^8)+(10*x^7)+(10*x^6)+(8*x^5)+(8*x^4)+(6*x^3)+(6*x^2)+(3*x)+3))/((x^16-x^8)+1)^2)))))))))+(-(-(-(-(-(-(-(((1/138240)*(((5278*x^7)+(5278*x^6)+(3023*x^5)+(3023*x^4))-(4510*x^3)-(4510*x^2)-(4606*x)-4606))/((x^8-x^4)+1)^2))))))))+(-(-(-(-(-(-(-(((1/1152)*(((2*x^7)+(2*x^6)+x^5+x^4)-x-1))/(x^8+1)^2))))))))+(-(-(-(-(-(-(-(((1/119439360)*(((2363400*x^3)+(2363400*x^2))-(1035091*x)-1035091))/((x^4-x^2)+1)^2))))))))+(-(-(-(-(-(-(-(((1/2488320)*((3796*x^3)+(3796*x^2)+(111*x)+111))/(x^4+1)^2))))))))+(-(-(-(-(-(-(-(((1/1.146617856)*E10*((19717422*x)+10595669))/(x^2+x+1)^2))))))))+(-(-(-(-(-(-(-(((1/1.146617856)*E10*((128*x)-28839175))/((x^2-x)+1)^2))))))))+(-(-(-(-(-(-((((9.68274123479*E11)/5.5037657088)*E12)/(x+1))))))))+(-(-(-(-(-(-(((72835631/4.7775744)*E9*(x+1))/(x^2+1)^2)))))))+(-(-(-(-(-(-((((2.181899437457*E12)/2.20150628352)*E11)/(x-1))))))))+(-(-(-(-(-(-(((1/69120)*(((288*x^7)+(288*x^6)+(221*x^5)+(221*x^4))-(134*x^3)-(134*x^2)-(205*x)-205))/((x^8-x^4)+1)^3)))))))+(-(-(-(-(-(-(((1/6635520)*((9535*x^3)+(9535*x^2)+(294*x)+294))/((x^4-x^2)+1)^3)))))))+(-(-(-(-(-(-(((1/829440)*((74*x^3)+(74*x^2)+x+1))/(x^4+1)^3)))))))+(-(-(-(-(-(-(((1/1911029760)*((124037*x)+4800))/(x^2+x+1)^3)))))))+(-(-(-(-(-(-(((677194333/1.27401984)*E10)/(x+1)^2)))))))+(-(-(-(-(-(-(((9895/7962624)*(x+1))/(x^2+1)^3)))))))+(-(-(-(-(-(-((((8.22000147551*E11)/2.7518828544)*E12)/(x-1)^2)))))))+(-(-(-(-(-(-(((121637/1911029760)*(x-2))/((x^2-x)+1)^3)))))))+(-(-(-(-(-(((1/11520)*(((2*x^7)+(2*x^6)+(2*x^5)+(2*x^4))-x-1))/((x^8-x^4)+1)^4))))))+(-(-(-(-(-(((1/1105920)*((47*x^3)+(47*x^2)+(49*x)+49))/((x^4-x^2)+1)^4))))))+(-(-(-(-(-(((1/414720)*(x^3+x^2))/(x^4+1)^4))))))+(-(-(-(-(-(((1/318504960)*((895*x)-899))/((x^2-x)+1)^4))))))+(-(-(-(-(((1/318504960)*((305*x)-289))/(x^2+x+1)^4)))))+(-(-(-(-(((1190661481/3.057647616)*E11)/(x+1)^3)))))+(-(-(-(-(((1873/29859840)*(x+1))/(x^2+1)^4)))))+(-(-(-(-((((3.1314666503*E10)/3.057647616)*E11)/(x-1)^3)))))+(-(-(-(-(((1/53084160)*((2*x)-1))/((x^2-x)+1)^5)))))+(-(-(-(304567/1911029760/(x+1)^4))))+(-(-(-(((1/552960)*(x+1))/((x^4-x^2)+1)^5))))+(-(-(-(((37/19906560)*(x+1))/(x^2+1)^5))))+(-(-(-(((1166296121/1.528823808)*E11)/(x-1)^4))))+(-(-(-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A257850 = (((19906560/42227063)*differential((A001365+(-((-(((1/30)*(((268*x^15)+(268*x^14)+(536*x^13)+(530*x^12)+(524*x^11)+(507*x^10)+(222*x^9)+(194*x^8))-(102*x^7)-(134*x^6)-(434*x^5)-(462*x^4)-(490*x^3)-(507*x^2)-(256*x)-262))/(((x^16+x^14)-x^10-x^8-x^6)+x^2+1)))+(-(-(-(-(-(-(-(((1/48)*(((74*x^15)+(56*x^14)+(38*x^13)+(19*x^12))-(19*x^10)-(38*x^9)-(56*x^8)-(148*x^7)-(145*x^6)-(142*x^5)-(134*x^4)-(126*x^3)-(115*x^2)-(104*x)-89))/((x^16-x^8)+1)))))))))+(-(-(-(-(-(-(-(((1/1152)*(((254*x^7)+(424*x^6)+(594*x^5)+(657*x^4)+(466*x^3)+(287*x^2)+(108*x))-73))/((x^8-x^4)+1)))))))))+(-(-(-(-(-(-(((1/300)*(((24*x^7)+(24*x^6))-(24*x^5)-(92*x^4)-(133*x^3)-(146*x^2)-(109*x)-44))/(((x^8+x^7)-x^5-x^4-x^3)+x+1))))))))+(-(-(-(-(-(-(((1/300)*((((((8*x^7)-(8*x^6)-(8*x^5))+(4*x^4))-(11*x^3))+(2*x^2))-(3*x)-12))/((((((x^8-x^7)+x^5)-x^4)+x^3)-x)+1))))))))+(-(-(-(-(-(-(((1/48)*(((2*x^7)+(2*x^6)+(2*x^5)+x^4)-x^2-(2*x)-2))/(x^8+1))))))))+(-(-(-(-(-(-(((1/30)*(((2*x^7)+(2*x^6)+(2*x^3)+x^2)-(2*x)-2))/((((x^8-x^6)+x^4)-x^2)+1))))))))+(-(-(-(-(-(((1/2488320)*(((442342*x^3)+(151192*x^2))-(582300*x)-464819))/((x^4-x^2)+1)))))))+(-(-(-(-(-(((1/1152)*(((38*x^3)+(19*x^2))-18))/(x^4+1)))))))+(-(-(-(-(-(((1/300)*((3*x^3)-(3*x^2)-4))/((((x^4-x^3)+x^2)-x)+1)))))))+(-(-(-(-(-(((1/300)*(x^3+x^2))/(x^4+x^3+x^2+x+1)))))))+(-(-(-(-(-(((1/5.3747712)*E9*((227167793*x)+227173793))/(x^2+x+1)))))))+(-(-(-(-(-(((1/597196800)*((82976631*x)-67206631))/((x^2-x)+1)))))))+(-(-(-(-(-(((1/1244160)*((19399*x)+949))/(x^2+1)))))))+(-(-(-(-(-(((1/192)*((3*x^6)+(6*x^5)+(8*x^4)+(10*x^3)+(8*x^2)+(6*x)+3))/((x^8-x^4)+1)^2))))))+(-(-(-(-(((1/138240)*(((5278*x^3)+(3023*x^2))-(4510*x)-4606))/((x^4-x^2)+1)^2)))))+(-(-(-(-(((1/1152)*(((2*x^3)+x^2)-1))/(x^4+1)^2)))))+(-(-(-(-(((1/358318080)*((2373000*x)+1275947))/(x^2+x+1)^2)))))+(-(-(-(-(((1/119439360)*((2363400*x)-1035091))/((x^2-x)+1)^2)))))+(-(-(-(-(((1/2488320)*((3796*x)+111))/(x^2+1)^2)))))+(-(-(-(-((((1.08429218867*E11)/1.07495424)*E10)/(x-1))))))+(-(-(-(-(((1/69120)*(((288*x^3)+(221*x^2))-(134*x)-205))/((x^4-x^2)+1)^3)))))+(-(-(-(-(((1/6635520)*((9535*x)+294))/((x^2-x)+1)^3)))))+(-(-(-(-(((7/59719680)*((4259*x)+210))/(x^2+x+1)^3)))))+(-(-(-(-(((1/829440)*((74*x)+1))/(x^2+1)^3)))))+(-(-(-(-(((72835631/4.7775744)*E9)/(x+1)^2)))))+(-(-(-(-((((1.6880254657*E10)/4.29981696)*E10)/(x-1)^2)))))+(-(-(-(-(((1/11520)*(((2*x^3)+(2*x^2))-1))/((x^4-x^2)+1)^4)))))+(-(-(-(-(((1/9953280)*((149*x)-139))/(x^2+x+1)^4)))))+(-(-(-(-(((1/1105920)*((47*x)+49))/((x^2-x)+1)^4)))))+(-(-(-(-(9895/7962624/(x+1)^3)))))+(-(-(-(-(17414935/47775744/(x-1)^3)))))+(-(-(-(((1/414720)*x)/(x^2+1)^4))))+(-(-(-(1873/29859840/(x+1)^4))))+(-(-(-(22324517/398131200/(x-1)^4))))+(-(-(-(1/1658880/(x^2+x+1)^5))))+(-(-(1/552960/((x^2-x)+1)^5)))+(-(-(37/19906560/(x+1)^5)))+(-(-(281977/59719680/(x-1)^5)))+(-(1/39813120/(x+1)^6))+(-(29083/119439360/(x-1)^6))+(-(73/9953280/(x-1)^7))+(1/9953280/(x-1)^8))))))+(((1/5)*((15*x^3)+(4*x^2)+(8*x)+9))/((((x^4-x^3)+x^2)-x)+1))+(-(-(((1/5)*((11*x^3)+(16*x^2)+(15*x)+8))/(x^4+x^3+x^2+x+1))))+(-(-(((1/2)*((2*x^3)+(2*x^2)+x))/(x^4+x^3+x^2+x+1)^2)))+(-(-(((1/2)*(((2*x^2)-x)+2))/((((x^4-x^3)+x^2)-x)+1)^2)))+(-(1/2/(x+1)))+(-(33/10/(x-1)))+(9/20/(x-1)^2))
A257890 = ((((((-(1*x^2))+(2*x))-1)/(((10.0868683365536*x^2)-(20.1737366731072*x))+10.0868683365536))*differential((A001365+(-((-(((1/30)*(((268*x^15)+(268*x^14)+(536*x^13)+(530*x^12)+(524*x^11)+(507*x^10)+(222*x^9)+(194*x^8))-(102*x^7)-(134*x^6)-(434*x^5)-(462*x^4)-(490*x^3)-(507*x^2)-(256*x)-262))/(((x^16+x^14)-x^10-x^8-x^6)+x^2+1)))+(-(-(-(-(-(-(-(((1/48)*(((74*x^15)+(56*x^14)+(38*x^13)+(19*x^12))-(19*x^10)-(38*x^9)-(56*x^8)-(148*x^7)-(145*x^6)-(142*x^5)-(134*x^4)-(126*x^3)-(115*x^2)-(104*x)-89))/((x^16-x^8)+1)))))))))+(-(-(-(-(-(-(-(((1/1152)*(((254*x^7)+(424*x^6)+(594*x^5)+(657*x^4)+(466*x^3)+(287*x^2)+(108*x))-73))/((x^8-x^4)+1)))))))))+(-(-(-(-(-(-(((1/300)*(((24*x^7)+(24*x^6))-(24*x^5)-(92*x^4)-(133*x^3)-(146*x^2)-(109*x)-44))/(((x^8+x^7)-x^5-x^4-x^3)+x+1))))))))+(-(-(-(-(-(-(((1/300)*((((((8*x^7)-(8*x^6)-(8*x^5))+(4*x^4))-(11*x^3))+(2*x^2))-(3*x)-12))/((((((x^8-x^7)+x^5)-x^4)+x^3)-x)+1))))))))+(-(-(-(-(-(-(((1/48)*(((2*x^7)+(2*x^6)+(2*x^5)+x^4)-x^2-(2*x)-2))/(x^8+1))))))))+(-(-(-(-(-(-(((1/30)*(((2*x^7)+(2*x^6)+(2*x^3)+x^2)-(2*x)-2))/((((x^8-x^6)+x^4)-x^2)+1))))))))+(-(-(-(-(-(((1/2488320)*(((442342*x^3)+(151192*x^2))-(582300*x)-464819))/((x^4-x^2)+1)))))))+(-(-(-(-(-(((1/1152)*(((38*x^3)+(19*x^2))-18))/(x^4+1)))))))+(-(-(-(-(-(((1/300)*((3*x^3)-(3*x^2)-4))/((((x^4-x^3)+x^2)-x)+1)))))))+(-(-(-(-(-(((1/300)*(x^3+x^2))/(x^4+x^3+x^2+x+1)))))))+(-(-(-(-(-(((1/5.3747712)*E9*((227167793*x)+227173793))/(x^2+x+1)))))))+(-(-(-(-(-(((1/597196800)*((82976631*x)-67206631))/((x^2-x)+1)))))))+(-(-(-(-(-(((1/1244160)*((19399*x)+949))/(x^2+1)))))))+(-(-(-(-(-(((1/192)*((3*x^6)+(6*x^5)+(8*x^4)+(10*x^3)+(8*x^2)+(6*x)+3))/((x^8-x^4)+1)^2))))))+(-(-(-(-(((1/138240)*(((5278*x^3)+(3023*x^2))-(4510*x)-4606))/((x^4-x^2)+1)^2)))))+(-(-(-(-(((1/1152)*(((2*x^3)+x^2)-1))/(x^4+1)^2)))))+(-(-(-(-(((1/358318080)*((2373000*x)+1275947))/(x^2+x+1)^2)))))+(-(-(-(-(((1/119439360)*((2363400*x)-1035091))/((x^2-x)+1)^2)))))+(-(-(-(-(((1/2488320)*((3796*x)+111))/(x^2+1)^2)))))+(-(-(-(-(42227063/398131200/(x+1))))))+(-(-(-(-(((1/69120)*(((288*x^3)+(221*x^2))-(134*x)-205))/((x^4-x^2)+1)^3)))))+(-(-(-(-(((1/6635520)*((9535*x)+294))/((x^2-x)+1)^3)))))+(-(-(-(-(((7/59719680)*((4259*x)+210))/(x^2+x+1)^3)))))+(-(-(-(-(((1/829440)*((74*x)+1))/(x^2+1)^3)))))+(-(-(-(-(((72835631/4.7775744)*E9)/(x+1)^2)))))+(-(-(-(-((((1.6880254657*E10)/4.29981696)*E10)/(x-1)^2)))))+(-(-(-(-(((1/11520)*(((2*x^3)+(2*x^2))-1))/((x^4-x^2)+1)^4)))))+(-(-(-(-(((1/9953280)*((149*x)-139))/(x^2+x+1)^4)))))+(-(-(-(-(((1/1105920)*((47*x)+49))/((x^2-x)+1)^4)))))+(-(-(-(-(9895/7962624/(x+1)^3)))))+(-(-(-(-(17414935/47775744/(x-1)^3)))))+(-(-(-(((1/414720)*x)/(x^2+1)^4))))+(-(-(-(1873/29859840/(x+1)^4))))+(-(-(-(22324517/398131200/(x-1)^4))))+(-(-(-(1/1658880/(x^2+x+1)^5))))+(-(-(1/552960/((x^2-x)+1)^5)))+(-(-(37/19906560/(x+1)^5)))+(-(-(281977/59719680/(x-1)^5)))+(-(1/39813120/(x+1)^6))+(-(29083/119439360/(x-1)^6))+(-(73/9953280/(x-1)^7))+(1/9953280/(x-1)^8))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257850 = (((((-(1*x^2))-(2*x)-1)/((0.304906318151738*x^2)+(0.609812636303476*x)+0.304906318151738))*(A001365+(-((-(((1/30)*(((268*x^15)+(268*x^14)+(536*x^13)+(530*x^12)+(524*x^11)+(507*x^10)+(222*x^9)+(194*x^8))-(102*x^7)-(134*x^6)-(434*x^5)-(462*x^4)-(490*x^3)-(507*x^2)-(256*x)-262))/(((x^16+x^14)-x^10-x^8-x^6)+x^2+1)))+(-(-(-(-(-(-(-(((1/48)*(((74*x^15)+(56*x^14)+(38*x^13)+(19*x^12))-(19*x^10)-(38*x^9)-(56*x^8)-(148*x^7)-(145*x^6)-(142*x^5)-(134*x^4)-(126*x^3)-(115*x^2)-(104*x)-89))/((x^16-x^8)+1)))))))))+(-(-(-(-(-(-(-(((1/1152)*(((254*x^7)+(424*x^6)+(594*x^5)+(657*x^4)+(466*x^3)+(287*x^2)+(108*x))-73))/((x^8-x^4)+1)))))))))+(-(-(-(-(-(-(((1/300)*(((24*x^7)+(24*x^6))-(24*x^5)-(92*x^4)-(133*x^3)-(146*x^2)-(109*x)-44))/(((x^8+x^7)-x^5-x^4-x^3)+x+1))))))))+(-(-(-(-(-(-(((1/300)*((((((8*x^7)-(8*x^6)-(8*x^5))+(4*x^4))-(11*x^3))+(2*x^2))-(3*x)-12))/((((((x^8-x^7)+x^5)-x^4)+x^3)-x)+1))))))))+(-(-(-(-(-(-(((1/48)*(((2*x^7)+(2*x^6)+(2*x^5)+x^4)-x^2-(2*x)-2))/(x^8+1))))))))+(-(-(-(-(-(-(((1/30)*(((2*x^7)+(2*x^6)+(2*x^3)+x^2)-(2*x)-2))/((((x^8-x^6)+x^4)-x^2)+1))))))))+(-(-(-(-(-(((1/2488320)*(((442342*x^3)+(151192*x^2))-(582300*x)-464819))/((x^4-x^2)+1)))))))+(-(-(-(-(-(((1/1152)*(((38*x^3)+(19*x^2))-18))/(x^4+1)))))))+(-(-(-(-(-(((1/300)*((3*x^3)-(3*x^2)-4))/((((x^4-x^3)+x^2)-x)+1)))))))+(-(-(-(-(-(((1/300)*(x^3+x^2))/(x^4+x^3+x^2+x+1)))))))+(-(-(-(-(-(((1/5.3747712)*E9*((227167793*x)+227173793))/(x^2+x+1)))))))+(-(-(-(-(-(((1/597196800)*((82976631*x)-67206631))/((x^2-x)+1)))))))+(-(-(-(-(-(((1/1244160)*((19399*x)+949))/(x^2+1)))))))+(-(-(-(-(-(((1/192)*((3*x^6)+(6*x^5)+(8*x^4)+(10*x^3)+(8*x^2)+(6*x)+3))/((x^8-x^4)+1)^2))))))+(-(-(-(-(((1/138240)*(((5278*x^3)+(3023*x^2))-(4510*x)-4606))/((x^4-x^2)+1)^2)))))+(-(-(-(-(((1/1152)*(((2*x^3)+x^2)-1))/(x^4+1)^2)))))+(-(-(-(-(((1/358318080)*((2373000*x)+1275947))/(x^2+x+1)^2)))))+(-(-(-(-(((1/119439360)*((2363400*x)-1035091))/((x^2-x)+1)^2)))))+(-(-(-(-(((1/2488320)*((3796*x)+111))/(x^2+1)^2)))))+(-(-(-(-(42227063/398131200/(x+1))))))+(-(-(-(-((((1.08429218867*E11)/1.07495424)*E10)/(x-1))))))+(-(-(-(-(((1/69120)*(((288*x^3)+(221*x^2))-(134*x)-205))/((x^4-x^2)+1)^3)))))+(-(-(-(-(((1/6635520)*((9535*x)+294))/((x^2-x)+1)^3)))))+(-(-(-(-(((7/59719680)*((4259*x)+210))/(x^2+x+1)^3)))))+(-(-(-(-(((1/829440)*((74*x)+1))/(x^2+1)^3)))))+(-(-(-(-((((1.6880254657*E10)/4.29981696)*E10)/(x-1)^2)))))+(-(-(-(-(((1/11520)*(((2*x^3)+(2*x^2))-1))/((x^4-x^2)+1)^4)))))+(-(-(-(-(((1/9953280)*((149*x)-139))/(x^2+x+1)^4)))))+(-(-(-(-(((1/1105920)*((47*x)+49))/((x^2-x)+1)^4)))))+(-(-(-(-(9895/7962624/(x+1)^3)))))+(-(-(-(-(17414935/47775744/(x-1)^3)))))+(-(-(-(((1/414720)*x)/(x^2+1)^4))))+(-(-(-(1873/29859840/(x+1)^4))))+(-(-(-(22324517/398131200/(x-1)^4))))+(-(-(-(1/1658880/(x^2+x+1)^5))))+(-(-(1/552960/((x^2-x)+1)^5)))+(-(-(37/19906560/(x+1)^5)))+(-(-(281977/59719680/(x-1)^5)))+(-(1/39813120/(x+1)^6))+(-(29083/119439360/(x-1)^6))+(-(73/9953280/(x-1)^7))+(1/9953280/(x-1)^8)))))+(((1/5)*((15*x^3)+(4*x^2)+(8*x)+9))/((((x^4-x^3)+x^2)-x)+1))+(-(-(((1/5)*((11*x^3)+(16*x^2)+(15*x)+8))/(x^4+x^3+x^2+x+1))))+(-(-(((1/2)*((2*x^3)+(2*x^2)+x))/(x^4+x^3+x^2+x+1)^2)))+(-(-(((1/2)*(((2*x^2)-x)+2))/((((x^4-x^3)+x^2)-x)+1)^2)))+(-(1/2/(x+1)))+(-(33/10/(x-1)))+(9/20/(x-1)^2))
A257171 = ((((x^3+(3*x^2)+(3*x)+1)/((0.2439250545213904*x^3)+(0.7317751635641712*x^2)+(0.7317751635641712*x)+0.2439250545213904))*differential((A001365+(-((-(((1/30)*(((268*x^15)+(268*x^14)+(536*x^13)+(530*x^12)+(524*x^11)+(507*x^10)+(222*x^9)+(194*x^8))-(102*x^7)-(134*x^6)-(434*x^5)-(462*x^4)-(490*x^3)-(507*x^2)-(256*x)-262))/(((x^16+x^14)-x^10-x^8-x^6)+x^2+1)))+(-(-(-(-(-(-(-(((1/48)*(((74*x^15)+(56*x^14)+(38*x^13)+(19*x^12))-(19*x^10)-(38*x^9)-(56*x^8)-(148*x^7)-(145*x^6)-(142*x^5)-(134*x^4)-(126*x^3)-(115*x^2)-(104*x)-89))/((x^16-x^8)+1)))))))))+(-(-(-(-(-(-(-(((1/1152)*(((254*x^7)+(424*x^6)+(594*x^5)+(657*x^4)+(466*x^3)+(287*x^2)+(108*x))-73))/((x^8-x^4)+1)))))))))+(-(-(-(-(-(-(((1/300)*(((24*x^7)+(24*x^6))-(24*x^5)-(92*x^4)-(133*x^3)-(146*x^2)-(109*x)-44))/(((x^8+x^7)-x^5-x^4-x^3)+x+1))))))))+(-(-(-(-(-(-(((1/300)*((((((8*x^7)-(8*x^6)-(8*x^5))+(4*x^4))-(11*x^3))+(2*x^2))-(3*x)-12))/((((((x^8-x^7)+x^5)-x^4)+x^3)-x)+1))))))))+(-(-(-(-(-(-(((1/48)*(((2*x^7)+(2*x^6)+(2*x^5)+x^4)-x^2-(2*x)-2))/(x^8+1))))))))+(-(-(-(-(-(-(((1/30)*(((2*x^7)+(2*x^6)+(2*x^3)+x^2)-(2*x)-2))/((((x^8-x^6)+x^4)-x^2)+1))))))))+(-(-(-(-(-(((1/2488320)*(((442342*x^3)+(151192*x^2))-(582300*x)-464819))/((x^4-x^2)+1)))))))+(-(-(-(-(-(((1/1152)*(((38*x^3)+(19*x^2))-18))/(x^4+1)))))))+(-(-(-(-(-(((1/300)*((3*x^3)-(3*x^2)-4))/((((x^4-x^3)+x^2)-x)+1)))))))+(-(-(-(-(-(((1/300)*(x^3+x^2))/(x^4+x^3+x^2+x+1)))))))+(-(-(-(-(-(((1/5.3747712)*E9*((227167793*x)+227173793))/(x^2+x+1)))))))+(-(-(-(-(-(((1/597196800)*((82976631*x)-67206631))/((x^2-x)+1)))))))+(-(-(-(-(-(((1/1244160)*((19399*x)+949))/(x^2+1)))))))+(-(-(-(-(-(((1/192)*((3*x^6)+(6*x^5)+(8*x^4)+(10*x^3)+(8*x^2)+(6*x)+3))/((x^8-x^4)+1)^2))))))+(-(-(-(-(((1/138240)*(((5278*x^3)+(3023*x^2))-(4510*x)-4606))/((x^4-x^2)+1)^2)))))+(-(-(-(-(((1/1152)*(((2*x^3)+x^2)-1))/(x^4+1)^2)))))+(-(-(-(-(((1/358318080)*((2373000*x)+1275947))/(x^2+x+1)^2)))))+(-(-(-(-(((1/119439360)*((2363400*x)-1035091))/((x^2-x)+1)^2)))))+(-(-(-(-(((1/2488320)*((3796*x)+111))/(x^2+1)^2)))))+(-(-(-(-(42227063/398131200/(x+1))))))+(-(-(-(-((((1.08429218867*E11)/1.07495424)*E10)/(x-1))))))+(-(-(-(-(((1/69120)*(((288*x^3)+(221*x^2))-(134*x)-205))/((x^4-x^2)+1)^3)))))+(-(-(-(-(((1/6635520)*((9535*x)+294))/((x^2-x)+1)^3)))))+(-(-(-(-(((7/59719680)*((4259*x)+210))/(x^2+x+1)^3)))))+(-(-(-(-(((1/829440)*((74*x)+1))/(x^2+1)^3)))))+(-(-(-(-((((1.6880254657*E10)/4.29981696)*E10)/(x-1)^2)))))+(-(-(-(-(((1/11520)*(((2*x^3)+(2*x^2))-1))/((x^4-x^2)+1)^4)))))+(-(-(-(-(((1/9953280)*((149*x)-139))/(x^2+x+1)^4)))))+(-(-(-(-(((1/1105920)*((47*x)+49))/((x^2-x)+1)^4)))))+(-(-(-(-(9895/7962624/(x+1)^3)))))+(-(-(-(-(17414935/47775744/(x-1)^3)))))+(-(-(-(((1/414720)*x)/(x^2+1)^4))))+(-(-(-(1873/29859840/(x+1)^4))))+(-(-(-(22324517/398131200/(x-1)^4))))+(-(-(-(1/1658880/(x^2+x+1)^5))))+(-(-(1/552960/((x^2-x)+1)^5)))+(-(-(37/19906560/(x+1)^5)))+(-(-(281977/59719680/(x-1)^5)))+(-(1/39813120/(x+1)^6))+(-(29083/119439360/(x-1)^6))+(-(73/9953280/(x-1)^7))+(1/9953280/(x-1)^8))))))+(2*x)+(-(-(3/8/(x+1))))+(-(-(3/8/(x-1))))+(-(3/4/(x-1)^2))+(-(3/8/(x-1)^3))+(-(3/4/(x-1)^4))+(-1))
A257890 = (((((x^2-(2*x))+1)/(((0.392580772949926*x^2)-(0.785161545899852*x))+0.392580772949926))*(A001365+(-((-(((1/30)*(((268*x^15)+(268*x^14)+(536*x^13)+(530*x^12)+(524*x^11)+(507*x^10)+(222*x^9)+(194*x^8))-(102*x^7)-(134*x^6)-(434*x^5)-(462*x^4)-(490*x^3)-(507*x^2)-(256*x)-262))/(((x^16+x^14)-x^10-x^8-x^6)+x^2+1)))+(-(-(-(-(-(-(-(((1/48)*(((74*x^15)+(56*x^14)+(38*x^13)+(19*x^12))-(19*x^10)-(38*x^9)-(56*x^8)-(148*x^7)-(145*x^6)-(142*x^5)-(134*x^4)-(126*x^3)-(115*x^2)-(104*x)-89))/((x^16-x^8)+1)))))))))+(-(-(-(-(-(-(-(((1/1152)*(((254*x^7)+(424*x^6)+(594*x^5)+(657*x^4)+(466*x^3)+(287*x^2)+(108*x))-73))/((x^8-x^4)+1)))))))))+(-(-(-(-(-(-(((1/300)*(((24*x^7)+(24*x^6))-(24*x^5)-(92*x^4)-(133*x^3)-(146*x^2)-(109*x)-44))/(((x^8+x^7)-x^5-x^4-x^3)+x+1))))))))+(-(-(-(-(-(-(((1/300)*((((((8*x^7)-(8*x^6)-(8*x^5))+(4*x^4))-(11*x^3))+(2*x^2))-(3*x)-12))/((((((x^8-x^7)+x^5)-x^4)+x^3)-x)+1))))))))+(-(-(-(-(-(-(((1/48)*(((2*x^7)+(2*x^6)+(2*x^5)+x^4)-x^2-(2*x)-2))/(x^8+1))))))))+(-(-(-(-(-(-(((1/30)*(((2*x^7)+(2*x^6)+(2*x^3)+x^2)-(2*x)-2))/((((x^8-x^6)+x^4)-x^2)+1))))))))+(-(-(-(-(-(((1/2488320)*(((442342*x^3)+(151192*x^2))-(582300*x)-464819))/((x^4-x^2)+1)))))))+(-(-(-(-(-(((1/1152)*(((38*x^3)+(19*x^2))-18))/(x^4+1)))))))+(-(-(-(-(-(((1/300)*((3*x^3)-(3*x^2)-4))/((((x^4-x^3)+x^2)-x)+1)))))))+(-(-(-(-(-(((1/300)*(x^3+x^2))/(x^4+x^3+x^2+x+1)))))))+(-(-(-(-(-(((1/5.3747712)*E9*((227167793*x)+227173793))/(x^2+x+1)))))))+(-(-(-(-(-(((1/597196800)*((82976631*x)-67206631))/((x^2-x)+1)))))))+(-(-(-(-(-(((1/1244160)*((19399*x)+949))/(x^2+1)))))))+(-(-(-(-(-(((1/192)*((3*x^6)+(6*x^5)+(8*x^4)+(10*x^3)+(8*x^2)+(6*x)+3))/((x^8-x^4)+1)^2))))))+(-(-(-(-(((1/138240)*(((5278*x^3)+(3023*x^2))-(4510*x)-4606))/((x^4-x^2)+1)^2)))))+(-(-(-(-(((1/1152)*(((2*x^3)+x^2)-1))/(x^4+1)^2)))))+(-(-(-(-(((1/358318080)*((2373000*x)+1275947))/(x^2+x+1)^2)))))+(-(-(-(-(((1/119439360)*((2363400*x)-1035091))/((x^2-x)+1)^2)))))+(-(-(-(-(((1/2488320)*((3796*x)+111))/(x^2+1)^2)))))+(-(-(-(-(42227063/398131200/(x+1))))))+(-(-(-(-((((1.08429218867*E11)/1.07495424)*E10)/(x-1))))))+(-(-(-(-(((1/69120)*(((288*x^3)+(221*x^2))-(134*x)-205))/((x^4-x^2)+1)^3)))))+(-(-(-(-(((1/6635520)*((9535*x)+294))/((x^2-x)+1)^3)))))+(-(-(-(-(((7/59719680)*((4259*x)+210))/(x^2+x+1)^3)))))+(-(-(-(-(((1/829440)*((74*x)+1))/(x^2+1)^3)))))+(-(-(-(-(((72835631/4.7775744)*E9)/(x+1)^2)))))+(-(-(-(-(((1/11520)*(((2*x^3)+(2*x^2))-1))/((x^4-x^2)+1)^4)))))+(-(-(-(-(((1/9953280)*((149*x)-139))/(x^2+x+1)^4)))))+(-(-(-(-(((1/1105920)*((47*x)+49))/((x^2-x)+1)^4)))))+(-(-(-(-(9895/7962624/(x+1)^3)))))+(-(-(-(-(17414935/47775744/(x-1)^3)))))+(-(-(-(((1/414720)*x)/(x^2+1)^4))))+(-(-(-(1873/29859840/(x+1)^4))))+(-(-(-(22324517/398131200/(x-1)^4))))+(-(-(-(1/1658880/(x^2+x+1)^5))))+(-(-(1/552960/((x^2-x)+1)^5)))+(-(-(37/19906560/(x+1)^5)))+(-(-(281977/59719680/(x-1)^5)))+(-(1/39813120/(x+1)^6))+(-(29083/119439360/(x-1)^6))+(-(73/9953280/(x-1)^7))+(1/9953280/(x-1)^8)))))+(1/(x-1)^4)+(1/(x-1)^6))
A257464 = (((-((7*((((-(1*x^3))+(3*x^2))-(3*x))+1))/((((18.84387710159645*x^3)-(56.53163130478934*x^2))+(56.53163130478934*x))-18.84387710159645)))*differential((A001365+(-((-(((1/30)*(((268*x^15)+(268*x^14)+(536*x^13)+(530*x^12)+(524*x^11)+(507*x^10)+(222*x^9)+(194*x^8))-(102*x^7)-(134*x^6)-(434*x^5)-(462*x^4)-(490*x^3)-(507*x^2)-(256*x)-262))/(((x^16+x^14)-x^10-x^8-x^6)+x^2+1)))+(-(-(-(-(-(-(-(((1/48)*(((74*x^15)+(56*x^14)+(38*x^13)+(19*x^12))-(19*x^10)-(38*x^9)-(56*x^8)-(148*x^7)-(145*x^6)-(142*x^5)-(134*x^4)-(126*x^3)-(115*x^2)-(104*x)-89))/((x^16-x^8)+1)))))))))+(-(-(-(-(-(-(-(((1/1152)*(((254*x^7)+(424*x^6)+(594*x^5)+(657*x^4)+(466*x^3)+(287*x^2)+(108*x))-73))/((x^8-x^4)+1)))))))))+(-(-(-(-(-(-(((1/300)*(((24*x^7)+(24*x^6))-(24*x^5)-(92*x^4)-(133*x^3)-(146*x^2)-(109*x)-44))/(((x^8+x^7)-x^5-x^4-x^3)+x+1))))))))+(-(-(-(-(-(-(((1/300)*((((((8*x^7)-(8*x^6)-(8*x^5))+(4*x^4))-(11*x^3))+(2*x^2))-(3*x)-12))/((((((x^8-x^7)+x^5)-x^4)+x^3)-x)+1))))))))+(-(-(-(-(-(-(((1/48)*(((2*x^7)+(2*x^6)+(2*x^5)+x^4)-x^2-(2*x)-2))/(x^8+1))))))))+(-(-(-(-(-(-(((1/30)*(((2*x^7)+(2*x^6)+(2*x^3)+x^2)-(2*x)-2))/((((x^8-x^6)+x^4)-x^2)+1))))))))+(-(-(-(-(-(((1/2488320)*(((442342*x^3)+(151192*x^2))-(582300*x)-464819))/((x^4-x^2)+1)))))))+(-(-(-(-(-(((1/1152)*(((38*x^3)+(19*x^2))-18))/(x^4+1)))))))+(-(-(-(-(-(((1/300)*((3*x^3)-(3*x^2)-4))/((((x^4-x^3)+x^2)-x)+1)))))))+(-(-(-(-(-(((1/300)*(x^3+x^2))/(x^4+x^3+x^2+x+1)))))))+(-(-(-(-(-(((1/5.3747712)*E9*((227167793*x)+227173793))/(x^2+x+1)))))))+(-(-(-(-(-(((1/597196800)*((82976631*x)-67206631))/((x^2-x)+1)))))))+(-(-(-(-(-(((1/1244160)*((19399*x)+949))/(x^2+1)))))))+(-(-(-(-(-(((1/192)*((3*x^6)+(6*x^5)+(8*x^4)+(10*x^3)+(8*x^2)+(6*x)+3))/((x^8-x^4)+1)^2))))))+(-(-(-(-(((1/138240)*(((5278*x^3)+(3023*x^2))-(4510*x)-4606))/((x^4-x^2)+1)^2)))))+(-(-(-(-(((1/1152)*(((2*x^3)+x^2)-1))/(x^4+1)^2)))))+(-(-(-(-(((1/358318080)*((2373000*x)+1275947))/(x^2+x+1)^2)))))+(-(-(-(-(((1/119439360)*((2363400*x)-1035091))/((x^2-x)+1)^2)))))+(-(-(-(-(((1/2488320)*((3796*x)+111))/(x^2+1)^2)))))+(-(-(-(-(42227063/398131200/(x+1))))))+(-(-(-(-((((1.08429218867*E11)/1.07495424)*E10)/(x-1))))))+(-(-(-(-(((1/69120)*(((288*x^3)+(221*x^2))-(134*x)-205))/((x^4-x^2)+1)^3)))))+(-(-(-(-(((1/6635520)*((9535*x)+294))/((x^2-x)+1)^3)))))+(-(-(-(-(((7/59719680)*((4259*x)+210))/(x^2+x+1)^3)))))+(-(-(-(-(((1/829440)*((74*x)+1))/(x^2+1)^3)))))+(-(-(-(-(((72835631/4.7775744)*E9)/(x+1)^2)))))+(-(-(-(-(((1/11520)*(((2*x^3)+(2*x^2))-1))/((x^4-x^2)+1)^4)))))+(-(-(-(-(((1/9953280)*((149*x)-139))/(x^2+x+1)^4)))))+(-(-(-(-(((1/1105920)*((47*x)+49))/((x^2-x)+1)^4)))))+(-(-(-(-(9895/7962624/(x+1)^3)))))+(-(-(-(-(17414935/47775744/(x-1)^3)))))+(-(-(-(((1/414720)*x)/(x^2+1)^4))))+(-(-(-(1873/29859840/(x+1)^4))))+(-(-(-(22324517/398131200/(x-1)^4))))+(-(-(-(1/1658880/(x^2+x+1)^5))))+(-(-(1/552960/((x^2-x)+1)^5)))+(-(-(37/19906560/(x+1)^5)))+(-(-(281977/59719680/(x-1)^5)))+(-(1/39813120/(x+1)^6))+(-(29083/119439360/(x-1)^6))+(-(73/9953280/(x-1)^7))+(1/9953280/(x-1)^8))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257171 = (((-(995328/9895))*(A001365+(-((-(((1/30)*(((268*x^15)+(268*x^14)+(536*x^13)+(530*x^12)+(524*x^11)+(507*x^10)+(222*x^9)+(194*x^8))-(102*x^7)-(134*x^6)-(434*x^5)-(462*x^4)-(490*x^3)-(507*x^2)-(256*x)-262))/(((x^16+x^14)-x^10-x^8-x^6)+x^2+1)))+(-(-(-(-(-(-(-(((1/48)*(((74*x^15)+(56*x^14)+(38*x^13)+(19*x^12))-(19*x^10)-(38*x^9)-(56*x^8)-(148*x^7)-(145*x^6)-(142*x^5)-(134*x^4)-(126*x^3)-(115*x^2)-(104*x)-89))/((x^16-x^8)+1)))))))))+(-(-(-(-(-(-(-(((1/1152)*(((254*x^7)+(424*x^6)+(594*x^5)+(657*x^4)+(466*x^3)+(287*x^2)+(108*x))-73))/((x^8-x^4)+1)))))))))+(-(-(-(-(-(-(((1/300)*(((24*x^7)+(24*x^6))-(24*x^5)-(92*x^4)-(133*x^3)-(146*x^2)-(109*x)-44))/(((x^8+x^7)-x^5-x^4-x^3)+x+1))))))))+(-(-(-(-(-(-(((1/300)*((((((8*x^7)-(8*x^6)-(8*x^5))+(4*x^4))-(11*x^3))+(2*x^2))-(3*x)-12))/((((((x^8-x^7)+x^5)-x^4)+x^3)-x)+1))))))))+(-(-(-(-(-(-(((1/48)*(((2*x^7)+(2*x^6)+(2*x^5)+x^4)-x^2-(2*x)-2))/(x^8+1))))))))+(-(-(-(-(-(-(((1/30)*(((2*x^7)+(2*x^6)+(2*x^3)+x^2)-(2*x)-2))/((((x^8-x^6)+x^4)-x^2)+1))))))))+(-(-(-(-(-(((1/2488320)*(((442342*x^3)+(151192*x^2))-(582300*x)-464819))/((x^4-x^2)+1)))))))+(-(-(-(-(-(((1/1152)*(((38*x^3)+(19*x^2))-18))/(x^4+1)))))))+(-(-(-(-(-(((1/300)*((3*x^3)-(3*x^2)-4))/((((x^4-x^3)+x^2)-x)+1)))))))+(-(-(-(-(-(((1/300)*(x^3+x^2))/(x^4+x^3+x^2+x+1)))))))+(-(-(-(-(-(((1/5.3747712)*E9*((227167793*x)+227173793))/(x^2+x+1)))))))+(-(-(-(-(-(((1/597196800)*((82976631*x)-67206631))/((x^2-x)+1)))))))+(-(-(-(-(-(((1/1244160)*((19399*x)+949))/(x^2+1)))))))+(-(-(-(-(-(((1/192)*((3*x^6)+(6*x^5)+(8*x^4)+(10*x^3)+(8*x^2)+(6*x)+3))/((x^8-x^4)+1)^2))))))+(-(-(-(-(((1/138240)*(((5278*x^3)+(3023*x^2))-(4510*x)-4606))/((x^4-x^2)+1)^2)))))+(-(-(-(-(((1/1152)*(((2*x^3)+x^2)-1))/(x^4+1)^2)))))+(-(-(-(-(((1/358318080)*((2373000*x)+1275947))/(x^2+x+1)^2)))))+(-(-(-(-(((1/119439360)*((2363400*x)-1035091))/((x^2-x)+1)^2)))))+(-(-(-(-(((1/2488320)*((3796*x)+111))/(x^2+1)^2)))))+(-(-(-(-(42227063/398131200/(x+1))))))+(-(-(-(-((((1.08429218867*E11)/1.07495424)*E10)/(x-1))))))+(-(-(-(-(((1/69120)*(((288*x^3)+(221*x^2))-(134*x)-205))/((x^4-x^2)+1)^3)))))+(-(-(-(-(((1/6635520)*((9535*x)+294))/((x^2-x)+1)^3)))))+(-(-(-(-(((7/59719680)*((4259*x)+210))/(x^2+x+1)^3)))))+(-(-(-(-(((1/829440)*((74*x)+1))/(x^2+1)^3)))))+(-(-(-(-(((72835631/4.7775744)*E9)/(x+1)^2)))))+(-(-(-(-((((1.6880254657*E10)/4.29981696)*E10)/(x-1)^2)))))+(-(-(-(-(((1/11520)*(((2*x^3)+(2*x^2))-1))/((x^4-x^2)+1)^4)))))+(-(-(-(-(((1/9953280)*((149*x)-139))/(x^2+x+1)^4)))))+(-(-(-(-(((1/1105920)*((47*x)+49))/((x^2-x)+1)^4)))))+(-(-(-(-(17414935/47775744/(x-1)^3)))))+(-(-(-(((1/414720)*x)/(x^2+1)^4))))+(-(-(-(1873/29859840/(x+1)^4))))+(-(-(-(22324517/398131200/(x-1)^4))))+(-(-(-(1/1658880/(x^2+x+1)^5))))+(-(-(1/552960/((x^2-x)+1)^5)))+(-(-(37/19906560/(x+1)^5)))+(-(-(281977/59719680/(x-1)^5)))+(-(1/39813120/(x+1)^6))+(-(29083/119439360/(x-1)^6))+(-(73/9953280/(x-1)^7))+(1/9953280/(x-1)^8)))))+(2*x)+(-(-(3/8/(x+1))))+(-(-(3/8/(x-1))))+(-(3/4/(x-1)^2))+(-(3/8/(x-1)^3))+(-(3/4/(x-1)^4))+(-1))
A257850 = (((3981312/49475)*integrate((A001365+(-((-(((1/30)*(((268*x^15)+(268*x^14)+(536*x^13)+(530*x^12)+(524*x^11)+(507*x^10)+(222*x^9)+(194*x^8))-(102*x^7)-(134*x^6)-(434*x^5)-(462*x^4)-(490*x^3)-(507*x^2)-(256*x)-262))/(((x^16+x^14)-x^10-x^8-x^6)+x^2+1)))+(-(-(-(-(-(-(-(((1/48)*(((74*x^15)+(56*x^14)+(38*x^13)+(19*x^12))-(19*x^10)-(38*x^9)-(56*x^8)-(148*x^7)-(145*x^6)-(142*x^5)-(134*x^4)-(126*x^3)-(115*x^2)-(104*x)-89))/((x^16-x^8)+1)))))))))+(-(-(-(-(-(-(-(((1/1152)*(((254*x^7)+(424*x^6)+(594*x^5)+(657*x^4)+(466*x^3)+(287*x^2)+(108*x))-73))/((x^8-x^4)+1)))))))))+(-(-(-(-(-(-(((1/300)*(((24*x^7)+(24*x^6))-(24*x^5)-(92*x^4)-(133*x^3)-(146*x^2)-(109*x)-44))/(((x^8+x^7)-x^5-x^4-x^3)+x+1))))))))+(-(-(-(-(-(-(((1/300)*((((((8*x^7)-(8*x^6)-(8*x^5))+(4*x^4))-(11*x^3))+(2*x^2))-(3*x)-12))/((((((x^8-x^7)+x^5)-x^4)+x^3)-x)+1))))))))+(-(-(-(-(-(-(((1/48)*(((2*x^7)+(2*x^6)+(2*x^5)+x^4)-x^2-(2*x)-2))/(x^8+1))))))))+(-(-(-(-(-(-(((1/30)*(((2*x^7)+(2*x^6)+(2*x^3)+x^2)-(2*x)-2))/((((x^8-x^6)+x^4)-x^2)+1))))))))+(-(-(-(-(-(((1/2488320)*(((442342*x^3)+(151192*x^2))-(582300*x)-464819))/((x^4-x^2)+1)))))))+(-(-(-(-(-(((1/1152)*(((38*x^3)+(19*x^2))-18))/(x^4+1)))))))+(-(-(-(-(-(((1/300)*((3*x^3)-(3*x^2)-4))/((((x^4-x^3)+x^2)-x)+1)))))))+(-(-(-(-(-(((1/300)*(x^3+x^2))/(x^4+x^3+x^2+x+1)))))))+(-(-(-(-(-(((1/5.3747712)*E9*((227167793*x)+227173793))/(x^2+x+1)))))))+(-(-(-(-(-(((1/597196800)*((82976631*x)-67206631))/((x^2-x)+1)))))))+(-(-(-(-(-(((1/1244160)*((19399*x)+949))/(x^2+1)))))))+(-(-(-(-(-(((1/192)*((3*x^6)+(6*x^5)+(8*x^4)+(10*x^3)+(8*x^2)+(6*x)+3))/((x^8-x^4)+1)^2))))))+(-(-(-(-(((1/138240)*(((5278*x^3)+(3023*x^2))-(4510*x)-4606))/((x^4-x^2)+1)^2)))))+(-(-(-(-(((1/1152)*(((2*x^3)+x^2)-1))/(x^4+1)^2)))))+(-(-(-(-(((1/358318080)*((2373000*x)+1275947))/(x^2+x+1)^2)))))+(-(-(-(-(((1/119439360)*((2363400*x)-1035091))/((x^2-x)+1)^2)))))+(-(-(-(-(((1/2488320)*((3796*x)+111))/(x^2+1)^2)))))+(-(-(-(-(42227063/398131200/(x+1))))))+(-(-(-(-((((1.08429218867*E11)/1.07495424)*E10)/(x-1))))))+(-(-(-(-(((1/69120)*(((288*x^3)+(221*x^2))-(134*x)-205))/((x^4-x^2)+1)^3)))))+(-(-(-(-(((1/6635520)*((9535*x)+294))/((x^2-x)+1)^3)))))+(-(-(-(-(((7/59719680)*((4259*x)+210))/(x^2+x+1)^3)))))+(-(-(-(-(((1/829440)*((74*x)+1))/(x^2+1)^3)))))+(-(-(-(-(((72835631/4.7775744)*E9)/(x+1)^2)))))+(-(-(-(-((((1.6880254657*E10)/4.29981696)*E10)/(x-1)^2)))))+(-(-(-(-(((1/11520)*(((2*x^3)+(2*x^2))-1))/((x^4-x^2)+1)^4)))))+(-(-(-(-(((1/9953280)*((149*x)-139))/(x^2+x+1)^4)))))+(-(-(-(-(((1/1105920)*((47*x)+49))/((x^2-x)+1)^4)))))+(-(-(-(-(17414935/47775744/(x-1)^3)))))+(-(-(-(((1/414720)*x)/(x^2+1)^4))))+(-(-(-(1873/29859840/(x+1)^4))))+(-(-(-(22324517/398131200/(x-1)^4))))+(-(-(-(1/1658880/(x^2+x+1)^5))))+(-(-(1/552960/((x^2-x)+1)^5)))+(-(-(37/19906560/(x+1)^5)))+(-(-(281977/59719680/(x-1)^5)))+(-(1/39813120/(x+1)^6))+(-(29083/119439360/(x-1)^6))+(-(73/9953280/(x-1)^7))+(1/9953280/(x-1)^8))))))+(((1/5)*((15*x^3)+(4*x^2)+(8*x)+9))/((((x^4-x^3)+x^2)-x)+1))+(-(-(((1/5)*((11*x^3)+(16*x^2)+(15*x)+8))/(x^4+x^3+x^2+x+1))))+(-(-(((1/2)*((2*x^3)+(2*x^2)+x))/(x^4+x^3+x^2+x+1)^2)))+(-(-(((1/2)*(((2*x^2)-x)+2))/((((x^4-x^3)+x^2)-x)+1)^2)))+(-(1/2/(x+1)))+(-(33/10/(x-1)))+(9/20/(x-1)^2))
A254233 = (((-(20736/9895))*differential((A001365+(-((-(((1/30)*(((268*x^15)+(268*x^14)+(536*x^13)+(530*x^12)+(524*x^11)+(507*x^10)+(222*x^9)+(194*x^8))-(102*x^7)-(134*x^6)-(434*x^5)-(462*x^4)-(490*x^3)-(507*x^2)-(256*x)-262))/(((x^16+x^14)-x^10-x^8-x^6)+x^2+1)))+(-(-(-(-(-(-(-(((1/48)*(((74*x^15)+(56*x^14)+(38*x^13)+(19*x^12))-(19*x^10)-(38*x^9)-(56*x^8)-(148*x^7)-(145*x^6)-(142*x^5)-(134*x^4)-(126*x^3)-(115*x^2)-(104*x)-89))/((x^16-x^8)+1)))))))))+(-(-(-(-(-(-(-(((1/1152)*(((254*x^7)+(424*x^6)+(594*x^5)+(657*x^4)+(466*x^3)+(287*x^2)+(108*x))-73))/((x^8-x^4)+1)))))))))+(-(-(-(-(-(-(((1/300)*(((24*x^7)+(24*x^6))-(24*x^5)-(92*x^4)-(133*x^3)-(146*x^2)-(109*x)-44))/(((x^8+x^7)-x^5-x^4-x^3)+x+1))))))))+(-(-(-(-(-(-(((1/300)*((((((8*x^7)-(8*x^6)-(8*x^5))+(4*x^4))-(11*x^3))+(2*x^2))-(3*x)-12))/((((((x^8-x^7)+x^5)-x^4)+x^3)-x)+1))))))))+(-(-(-(-(-(-(((1/48)*(((2*x^7)+(2*x^6)+(2*x^5)+x^4)-x^2-(2*x)-2))/(x^8+1))))))))+(-(-(-(-(-(-(((1/30)*(((2*x^7)+(2*x^6)+(2*x^3)+x^2)-(2*x)-2))/((((x^8-x^6)+x^4)-x^2)+1))))))))+(-(-(-(-(-(((1/2488320)*(((442342*x^3)+(151192*x^2))-(582300*x)-464819))/((x^4-x^2)+1)))))))+(-(-(-(-(-(((1/1152)*(((38*x^3)+(19*x^2))-18))/(x^4+1)))))))+(-(-(-(-(-(((1/300)*((3*x^3)-(3*x^2)-4))/((((x^4-x^3)+x^2)-x)+1)))))))+(-(-(-(-(-(((1/300)*(x^3+x^2))/(x^4+x^3+x^2+x+1)))))))+(-(-(-(-(-(((1/5.3747712)*E9*((227167793*x)+227173793))/(x^2+x+1)))))))+(-(-(-(-(-(((1/597196800)*((82976631*x)-67206631))/((x^2-x)+1)))))))+(-(-(-(-(-(((1/1244160)*((19399*x)+949))/(x^2+1)))))))+(-(-(-(-(-(((1/192)*((3*x^6)+(6*x^5)+(8*x^4)+(10*x^3)+(8*x^2)+(6*x)+3))/((x^8-x^4)+1)^2))))))+(-(-(-(-(((1/138240)*(((5278*x^3)+(3023*x^2))-(4510*x)-4606))/((x^4-x^2)+1)^2)))))+(-(-(-(-(((1/1152)*(((2*x^3)+x^2)-1))/(x^4+1)^2)))))+(-(-(-(-(((1/358318080)*((2373000*x)+1275947))/(x^2+x+1)^2)))))+(-(-(-(-(((1/119439360)*((2363400*x)-1035091))/((x^2-x)+1)^2)))))+(-(-(-(-(((1/2488320)*((3796*x)+111))/(x^2+1)^2)))))+(-(-(-(-(42227063/398131200/(x+1))))))+(-(-(-(-((((1.08429218867*E11)/1.07495424)*E10)/(x-1))))))+(-(-(-(-(((1/69120)*(((288*x^3)+(221*x^2))-(134*x)-205))/((x^4-x^2)+1)^3)))))+(-(-(-(-(((1/6635520)*((9535*x)+294))/((x^2-x)+1)^3)))))+(-(-(-(-(((7/59719680)*((4259*x)+210))/(x^2+x+1)^3)))))+(-(-(-(-(((1/829440)*((74*x)+1))/(x^2+1)^3)))))+(-(-(-(-(((72835631/4.7775744)*E9)/(x+1)^2)))))+(-(-(-(-((((1.6880254657*E10)/4.29981696)*E10)/(x-1)^2)))))+(-(-(-(-(((1/11520)*(((2*x^3)+(2*x^2))-1))/((x^4-x^2)+1)^4)))))+(-(-(-(-(((1/9953280)*((149*x)-139))/(x^2+x+1)^4)))))+(-(-(-(-(((1/1105920)*((47*x)+49))/((x^2-x)+1)^4)))))+(-(-(-(-(17414935/47775744/(x-1)^3)))))+(-(-(-(((1/414720)*x)/(x^2+1)^4))))+(-(-(-(1873/29859840/(x+1)^4))))+(-(-(-(22324517/398131200/(x-1)^4))))+(-(-(-(1/1658880/(x^2+x+1)^5))))+(-(-(1/552960/((x^2-x)+1)^5)))+(-(-(37/19906560/(x+1)^5)))+(-(-(281977/59719680/(x-1)^5)))+(-(1/39813120/(x+1)^6))+(-(29083/119439360/(x-1)^6))+(-(73/9953280/(x-1)^7))+(1/9953280/(x-1)^8))))))+(((1/972)*((113*x)+137))/(x^2+x+1))+(-(-(-(-(-(((1/12)*(x-1))/((x^2-x)+1)))))))+(-(-(-(-(3/32/(x^2+1))))))+(-(-(-(-(((1/162)*((12*x)+11))/(x^2+x+1)^2)))))+(-(-(-(-(41/384/(x+1))))))+(-(-(-(-(4345/31104/(x-1))))))+(-(-(-(83/1536/(x+1)^2))))+(-(-(-(9205/124416/(x-1)^2))))+(-(-(-(((1/27)*x)/(x^2+x+1)^3))))+(-(-(-(3/128/(x+1)^3))))+(-(-(-(3/64/(x-1)^3))))+(-(-(23/576/(x-1)^4)))+(-(-(5/144/(x-1)^5)))+(-(1/32/(x-1)^6))+(-(1/36/(x-1)^7))+(1/36/(x-1)^8))
A257464 = (((-(13934592/17414935))*(A001365+(-((-(((1/30)*(((268*x^15)+(268*x^14)+(536*x^13)+(530*x^12)+(524*x^11)+(507*x^10)+(222*x^9)+(194*x^8))-(102*x^7)-(134*x^6)-(434*x^5)-(462*x^4)-(490*x^3)-(507*x^2)-(256*x)-262))/(((x^16+x^14)-x^10-x^8-x^6)+x^2+1)))+(-(-(-(-(-(-(-(((1/48)*(((74*x^15)+(56*x^14)+(38*x^13)+(19*x^12))-(19*x^10)-(38*x^9)-(56*x^8)-(148*x^7)-(145*x^6)-(142*x^5)-(134*x^4)-(126*x^3)-(115*x^2)-(104*x)-89))/((x^16-x^8)+1)))))))))+(-(-(-(-(-(-(-(((1/1152)*(((254*x^7)+(424*x^6)+(594*x^5)+(657*x^4)+(466*x^3)+(287*x^2)+(108*x))-73))/((x^8-x^4)+1)))))))))+(-(-(-(-(-(-(((1/300)*(((24*x^7)+(24*x^6))-(24*x^5)-(92*x^4)-(133*x^3)-(146*x^2)-(109*x)-44))/(((x^8+x^7)-x^5-x^4-x^3)+x+1))))))))+(-(-(-(-(-(-(((1/300)*((((((8*x^7)-(8*x^6)-(8*x^5))+(4*x^4))-(11*x^3))+(2*x^2))-(3*x)-12))/((((((x^8-x^7)+x^5)-x^4)+x^3)-x)+1))))))))+(-(-(-(-(-(-(((1/48)*(((2*x^7)+(2*x^6)+(2*x^5)+x^4)-x^2-(2*x)-2))/(x^8+1))))))))+(-(-(-(-(-(-(((1/30)*(((2*x^7)+(2*x^6)+(2*x^3)+x^2)-(2*x)-2))/((((x^8-x^6)+x^4)-x^2)+1))))))))+(-(-(-(-(-(((1/2488320)*(((442342*x^3)+(151192*x^2))-(582300*x)-464819))/((x^4-x^2)+1)))))))+(-(-(-(-(-(((1/1152)*(((38*x^3)+(19*x^2))-18))/(x^4+1)))))))+(-(-(-(-(-(((1/300)*((3*x^3)-(3*x^2)-4))/((((x^4-x^3)+x^2)-x)+1)))))))+(-(-(-(-(-(((1/300)*(x^3+x^2))/(x^4+x^3+x^2+x+1)))))))+(-(-(-(-(-(((1/5.3747712)*E9*((227167793*x)+227173793))/(x^2+x+1)))))))+(-(-(-(-(-(((1/597196800)*((82976631*x)-67206631))/((x^2-x)+1)))))))+(-(-(-(-(-(((1/1244160)*((19399*x)+949))/(x^2+1)))))))+(-(-(-(-(-(((1/192)*((3*x^6)+(6*x^5)+(8*x^4)+(10*x^3)+(8*x^2)+(6*x)+3))/((x^8-x^4)+1)^2))))))+(-(-(-(-(((1/138240)*(((5278*x^3)+(3023*x^2))-(4510*x)-4606))/((x^4-x^2)+1)^2)))))+(-(-(-(-(((1/1152)*(((2*x^3)+x^2)-1))/(x^4+1)^2)))))+(-(-(-(-(((1/358318080)*((2373000*x)+1275947))/(x^2+x+1)^2)))))+(-(-(-(-(((1/119439360)*((2363400*x)-1035091))/((x^2-x)+1)^2)))))+(-(-(-(-(((1/2488320)*((3796*x)+111))/(x^2+1)^2)))))+(-(-(-(-(42227063/398131200/(x+1))))))+(-(-(-(-((((1.08429218867*E11)/1.07495424)*E10)/(x-1))))))+(-(-(-(-(((1/69120)*(((288*x^3)+(221*x^2))-(134*x)-205))/((x^4-x^2)+1)^3)))))+(-(-(-(-(((1/6635520)*((9535*x)+294))/((x^2-x)+1)^3)))))+(-(-(-(-(((7/59719680)*((4259*x)+210))/(x^2+x+1)^3)))))+(-(-(-(-(((1/829440)*((74*x)+1))/(x^2+1)^3)))))+(-(-(-(-(((72835631/4.7775744)*E9)/(x+1)^2)))))+(-(-(-(-((((1.6880254657*E10)/4.29981696)*E10)/(x-1)^2)))))+(-(-(-(-(((1/11520)*(((2*x^3)+(2*x^2))-1))/((x^4-x^2)+1)^4)))))+(-(-(-(-(((1/9953280)*((149*x)-139))/(x^2+x+1)^4)))))+(-(-(-(-(((1/1105920)*((47*x)+49))/((x^2-x)+1)^4)))))+(-(-(-(-(9895/7962624/(x+1)^3)))))+(-(-(-(((1/414720)*x)/(x^2+1)^4))))+(-(-(-(1873/29859840/(x+1)^4))))+(-(-(-(22324517/398131200/(x-1)^4))))+(-(-(-(1/1658880/(x^2+x+1)^5))))+(-(-(1/552960/((x^2-x)+1)^5)))+(-(-(37/19906560/(x+1)^5)))+(-(-(281977/59719680/(x-1)^5)))+(-(1/39813120/(x+1)^6))+(-(29083/119439360/(x-1)^6))+(-(73/9953280/(x-1)^7))+(1/9953280/(x-1)^8)))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257890 = (((-(95551488/17414935))*integrate((A001365+(-((-(((1/30)*(((268*x^15)+(268*x^14)+(536*x^13)+(530*x^12)+(524*x^11)+(507*x^10)+(222*x^9)+(194*x^8))-(102*x^7)-(134*x^6)-(434*x^5)-(462*x^4)-(490*x^3)-(507*x^2)-(256*x)-262))/(((x^16+x^14)-x^10-x^8-x^6)+x^2+1)))+(-(-(-(-(-(-(-(((1/48)*(((74*x^15)+(56*x^14)+(38*x^13)+(19*x^12))-(19*x^10)-(38*x^9)-(56*x^8)-(148*x^7)-(145*x^6)-(142*x^5)-(134*x^4)-(126*x^3)-(115*x^2)-(104*x)-89))/((x^16-x^8)+1)))))))))+(-(-(-(-(-(-(-(((1/1152)*(((254*x^7)+(424*x^6)+(594*x^5)+(657*x^4)+(466*x^3)+(287*x^2)+(108*x))-73))/((x^8-x^4)+1)))))))))+(-(-(-(-(-(-(((1/300)*(((24*x^7)+(24*x^6))-(24*x^5)-(92*x^4)-(133*x^3)-(146*x^2)-(109*x)-44))/(((x^8+x^7)-x^5-x^4-x^3)+x+1))))))))+(-(-(-(-(-(-(((1/300)*((((((8*x^7)-(8*x^6)-(8*x^5))+(4*x^4))-(11*x^3))+(2*x^2))-(3*x)-12))/((((((x^8-x^7)+x^5)-x^4)+x^3)-x)+1))))))))+(-(-(-(-(-(-(((1/48)*(((2*x^7)+(2*x^6)+(2*x^5)+x^4)-x^2-(2*x)-2))/(x^8+1))))))))+(-(-(-(-(-(-(((1/30)*(((2*x^7)+(2*x^6)+(2*x^3)+x^2)-(2*x)-2))/((((x^8-x^6)+x^4)-x^2)+1))))))))+(-(-(-(-(-(((1/2488320)*(((442342*x^3)+(151192*x^2))-(582300*x)-464819))/((x^4-x^2)+1)))))))+(-(-(-(-(-(((1/1152)*(((38*x^3)+(19*x^2))-18))/(x^4+1)))))))+(-(-(-(-(-(((1/300)*((3*x^3)-(3*x^2)-4))/((((x^4-x^3)+x^2)-x)+1)))))))+(-(-(-(-(-(((1/300)*(x^3+x^2))/(x^4+x^3+x^2+x+1)))))))+(-(-(-(-(-(((1/5.3747712)*E9*((227167793*x)+227173793))/(x^2+x+1)))))))+(-(-(-(-(-(((1/597196800)*((82976631*x)-67206631))/((x^2-x)+1)))))))+(-(-(-(-(-(((1/1244160)*((19399*x)+949))/(x^2+1)))))))+(-(-(-(-(-(((1/192)*((3*x^6)+(6*x^5)+(8*x^4)+(10*x^3)+(8*x^2)+(6*x)+3))/((x^8-x^4)+1)^2))))))+(-(-(-(-(((1/138240)*(((5278*x^3)+(3023*x^2))-(4510*x)-4606))/((x^4-x^2)+1)^2)))))+(-(-(-(-(((1/1152)*(((2*x^3)+x^2)-1))/(x^4+1)^2)))))+(-(-(-(-(((1/358318080)*((2373000*x)+1275947))/(x^2+x+1)^2)))))+(-(-(-(-(((1/119439360)*((2363400*x)-1035091))/((x^2-x)+1)^2)))))+(-(-(-(-(((1/2488320)*((3796*x)+111))/(x^2+1)^2)))))+(-(-(-(-(42227063/398131200/(x+1))))))+(-(-(-(-((((1.08429218867*E11)/1.07495424)*E10)/(x-1))))))+(-(-(-(-(((1/69120)*(((288*x^3)+(221*x^2))-(134*x)-205))/((x^4-x^2)+1)^3)))))+(-(-(-(-(((1/6635520)*((9535*x)+294))/((x^2-x)+1)^3)))))+(-(-(-(-(((7/59719680)*((4259*x)+210))/(x^2+x+1)^3)))))+(-(-(-(-(((1/829440)*((74*x)+1))/(x^2+1)^3)))))+(-(-(-(-(((72835631/4.7775744)*E9)/(x+1)^2)))))+(-(-(-(-((((1.6880254657*E10)/4.29981696)*E10)/(x-1)^2)))))+(-(-(-(-(((1/11520)*(((2*x^3)+(2*x^2))-1))/((x^4-x^2)+1)^4)))))+(-(-(-(-(((1/9953280)*((149*x)-139))/(x^2+x+1)^4)))))+(-(-(-(-(((1/1105920)*((47*x)+49))/((x^2-x)+1)^4)))))+(-(-(-(-(9895/7962624/(x+1)^3)))))+(-(-(-(((1/414720)*x)/(x^2+1)^4))))+(-(-(-(1873/29859840/(x+1)^4))))+(-(-(-(22324517/398131200/(x-1)^4))))+(-(-(-(1/1658880/(x^2+x+1)^5))))+(-(-(1/552960/((x^2-x)+1)^5)))+(-(-(37/19906560/(x+1)^5)))+(-(-(281977/59719680/(x-1)^5)))+(-(1/39813120/(x+1)^6))+(-(29083/119439360/(x-1)^6))+(-(73/9953280/(x-1)^7))+(1/9953280/(x-1)^8))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257890 = (((-(15925248/17414935))*differential((A001365+(-((-(((1/30)*(((268*x^15)+(268*x^14)+(536*x^13)+(530*x^12)+(524*x^11)+(507*x^10)+(222*x^9)+(194*x^8))-(102*x^7)-(134*x^6)-(434*x^5)-(462*x^4)-(490*x^3)-(507*x^2)-(256*x)-262))/(((x^16+x^14)-x^10-x^8-x^6)+x^2+1)))+(-(-(-(-(-(-(-(((1/48)*(((74*x^15)+(56*x^14)+(38*x^13)+(19*x^12))-(19*x^10)-(38*x^9)-(56*x^8)-(148*x^7)-(145*x^6)-(142*x^5)-(134*x^4)-(126*x^3)-(115*x^2)-(104*x)-89))/((x^16-x^8)+1)))))))))+(-(-(-(-(-(-(-(((1/1152)*(((254*x^7)+(424*x^6)+(594*x^5)+(657*x^4)+(466*x^3)+(287*x^2)+(108*x))-73))/((x^8-x^4)+1)))))))))+(-(-(-(-(-(-(((1/300)*(((24*x^7)+(24*x^6))-(24*x^5)-(92*x^4)-(133*x^3)-(146*x^2)-(109*x)-44))/(((x^8+x^7)-x^5-x^4-x^3)+x+1))))))))+(-(-(-(-(-(-(((1/300)*((((((8*x^7)-(8*x^6)-(8*x^5))+(4*x^4))-(11*x^3))+(2*x^2))-(3*x)-12))/((((((x^8-x^7)+x^5)-x^4)+x^3)-x)+1))))))))+(-(-(-(-(-(-(((1/48)*(((2*x^7)+(2*x^6)+(2*x^5)+x^4)-x^2-(2*x)-2))/(x^8+1))))))))+(-(-(-(-(-(-(((1/30)*(((2*x^7)+(2*x^6)+(2*x^3)+x^2)-(2*x)-2))/((((x^8-x^6)+x^4)-x^2)+1))))))))+(-(-(-(-(-(((1/2488320)*(((442342*x^3)+(151192*x^2))-(582300*x)-464819))/((x^4-x^2)+1)))))))+(-(-(-(-(-(((1/1152)*(((38*x^3)+(19*x^2))-18))/(x^4+1)))))))+(-(-(-(-(-(((1/300)*((3*x^3)-(3*x^2)-4))/((((x^4-x^3)+x^2)-x)+1)))))))+(-(-(-(-(-(((1/300)*(x^3+x^2))/(x^4+x^3+x^2+x+1)))))))+(-(-(-(-(-(((1/5.3747712)*E9*((227167793*x)+227173793))/(x^2+x+1)))))))+(-(-(-(-(-(((1/597196800)*((82976631*x)-67206631))/((x^2-x)+1)))))))+(-(-(-(-(-(((1/1244160)*((19399*x)+949))/(x^2+1)))))))+(-(-(-(-(-(((1/192)*((3*x^6)+(6*x^5)+(8*x^4)+(10*x^3)+(8*x^2)+(6*x)+3))/((x^8-x^4)+1)^2))))))+(-(-(-(-(((1/138240)*(((5278*x^3)+(3023*x^2))-(4510*x)-4606))/((x^4-x^2)+1)^2)))))+(-(-(-(-(((1/1152)*(((2*x^3)+x^2)-1))/(x^4+1)^2)))))+(-(-(-(-(((1/358318080)*((2373000*x)+1275947))/(x^2+x+1)^2)))))+(-(-(-(-(((1/119439360)*((2363400*x)-1035091))/((x^2-x)+1)^2)))))+(-(-(-(-(((1/2488320)*((3796*x)+111))/(x^2+1)^2)))))+(-(-(-(-(42227063/398131200/(x+1))))))+(-(-(-(-((((1.08429218867*E11)/1.07495424)*E10)/(x-1))))))+(-(-(-(-(((1/69120)*(((288*x^3)+(221*x^2))-(134*x)-205))/((x^4-x^2)+1)^3)))))+(-(-(-(-(((1/6635520)*((9535*x)+294))/((x^2-x)+1)^3)))))+(-(-(-(-(((7/59719680)*((4259*x)+210))/(x^2+x+1)^3)))))+(-(-(-(-(((1/829440)*((74*x)+1))/(x^2+1)^3)))))+(-(-(-(-(((72835631/4.7775744)*E9)/(x+1)^2)))))+(-(-(-(-((((1.6880254657*E10)/4.29981696)*E10)/(x-1)^2)))))+(-(-(-(-(((1/11520)*(((2*x^3)+(2*x^2))-1))/((x^4-x^2)+1)^4)))))+(-(-(-(-(((1/9953280)*((149*x)-139))/(x^2+x+1)^4)))))+(-(-(-(-(((1/1105920)*((47*x)+49))/((x^2-x)+1)^4)))))+(-(-(-(-(9895/7962624/(x+1)^3)))))+(-(-(-(((1/414720)*x)/(x^2+1)^4))))+(-(-(-(1873/29859840/(x+1)^4))))+(-(-(-(22324517/398131200/(x-1)^4))))+(-(-(-(1/1658880/(x^2+x+1)^5))))+(-(-(1/552960/((x^2-x)+1)^5)))+(-(-(37/19906560/(x+1)^5)))+(-(-(281977/59719680/(x-1)^5)))+(-(1/39813120/(x+1)^6))+(-(29083/119439360/(x-1)^6))+(-(73/9953280/(x-1)^7))+(1/9953280/(x-1)^8))))))+(1/(x-1)^2)+(1/(x-1)^6))
A249859 = (((-2488320)*integrate((A001365+(-((-(((1/30)*(((268*x^15)+(268*x^14)+(536*x^13)+(530*x^12)+(524*x^11)+(507*x^10)+(222*x^9)+(194*x^8))-(102*x^7)-(134*x^6)-(434*x^5)-(462*x^4)-(490*x^3)-(507*x^2)-(256*x)-262))/(((x^16+x^14)-x^10-x^8-x^6)+x^2+1)))+(-(-(-(-(-(-(-(((1/48)*(((74*x^15)+(56*x^14)+(38*x^13)+(19*x^12))-(19*x^10)-(38*x^9)-(56*x^8)-(148*x^7)-(145*x^6)-(142*x^5)-(134*x^4)-(126*x^3)-(115*x^2)-(104*x)-89))/((x^16-x^8)+1)))))))))+(-(-(-(-(-(-(-(((1/1152)*(((254*x^7)+(424*x^6)+(594*x^5)+(657*x^4)+(466*x^3)+(287*x^2)+(108*x))-73))/((x^8-x^4)+1)))))))))+(-(-(-(-(-(-(((1/300)*(((24*x^7)+(24*x^6))-(24*x^5)-(92*x^4)-(133*x^3)-(146*x^2)-(109*x)-44))/(((x^8+x^7)-x^5-x^4-x^3)+x+1))))))))+(-(-(-(-(-(-(((1/300)*((((((8*x^7)-(8*x^6)-(8*x^5))+(4*x^4))-(11*x^3))+(2*x^2))-(3*x)-12))/((((((x^8-x^7)+x^5)-x^4)+x^3)-x)+1))))))))+(-(-(-(-(-(-(((1/48)*(((2*x^7)+(2*x^6)+(2*x^5)+x^4)-x^2-(2*x)-2))/(x^8+1))))))))+(-(-(-(-(-(-(((1/30)*(((2*x^7)+(2*x^6)+(2*x^3)+x^2)-(2*x)-2))/((((x^8-x^6)+x^4)-x^2)+1))))))))+(-(-(-(-(-(((1/2488320)*(((442342*x^3)+(151192*x^2))-(582300*x)-464819))/((x^4-x^2)+1)))))))+(-(-(-(-(-(((1/1152)*(((38*x^3)+(19*x^2))-18))/(x^4+1)))))))+(-(-(-(-(-(((1/300)*((3*x^3)-(3*x^2)-4))/((((x^4-x^3)+x^2)-x)+1)))))))+(-(-(-(-(-(((1/300)*(x^3+x^2))/(x^4+x^3+x^2+x+1)))))))+(-(-(-(-(-(((1/5.3747712)*E9*((227167793*x)+227173793))/(x^2+x+1)))))))+(-(-(-(-(-(((1/597196800)*((82976631*x)-67206631))/((x^2-x)+1)))))))+(-(-(-(-(-(((1/1244160)*((19399*x)+949))/(x^2+1)))))))+(-(-(-(-(-(((1/192)*((3*x^6)+(6*x^5)+(8*x^4)+(10*x^3)+(8*x^2)+(6*x)+3))/((x^8-x^4)+1)^2))))))+(-(-(-(-(((1/138240)*(((5278*x^3)+(3023*x^2))-(4510*x)-4606))/((x^4-x^2)+1)^2)))))+(-(-(-(-(((1/1152)*(((2*x^3)+x^2)-1))/(x^4+1)^2)))))+(-(-(-(-(((1/358318080)*((2373000*x)+1275947))/(x^2+x+1)^2)))))+(-(-(-(-(((1/119439360)*((2363400*x)-1035091))/((x^2-x)+1)^2)))))+(-(-(-(-(((1/2488320)*((3796*x)+111))/(x^2+1)^2)))))+(-(-(-(-(42227063/398131200/(x+1))))))+(-(-(-(-((((1.08429218867*E11)/1.07495424)*E10)/(x-1))))))+(-(-(-(-(((1/69120)*(((288*x^3)+(221*x^2))-(134*x)-205))/((x^4-x^2)+1)^3)))))+(-(-(-(-(((1/6635520)*((9535*x)+294))/((x^2-x)+1)^3)))))+(-(-(-(-(((7/59719680)*((4259*x)+210))/(x^2+x+1)^3)))))+(-(-(-(-(((1/829440)*((74*x)+1))/(x^2+1)^3)))))+(-(-(-(-(((72835631/4.7775744)*E9)/(x+1)^2)))))+(-(-(-(-((((1.6880254657*E10)/4.29981696)*E10)/(x-1)^2)))))+(-(-(-(-(((1/11520)*(((2*x^3)+(2*x^2))-1))/((x^4-x^2)+1)^4)))))+(-(-(-(-(((1/9953280)*((149*x)-139))/(x^2+x+1)^4)))))+(-(-(-(-(((1/1105920)*((47*x)+49))/((x^2-x)+1)^4)))))+(-(-(-(-(9895/7962624/(x+1)^3)))))+(-(-(-(-(17414935/47775744/(x-1)^3)))))+(-(-(-(1873/29859840/(x+1)^4))))+(-(-(-(22324517/398131200/(x-1)^4))))+(-(-(-(1/1658880/(x^2+x+1)^5))))+(-(-(1/552960/((x^2-x)+1)^5)))+(-(-(37/19906560/(x+1)^5)))+(-(-(281977/59719680/(x-1)^5)))+(-(1/39813120/(x+1)^6))+(-(29083/119439360/(x-1)^6))+(-(73/9953280/(x-1)^7))+(1/9953280/(x-1)^8))))))+(6*x)+(-(-(-(15/16/(x+1)))))+(-(-(-(33/16/(x-1)))))+(-(-(-(3/2/(x^2+1)^2))))+(-(-(15/16/(x+1)^2)))+(-(-(33/16/(x-1)^2)))+(-(5/8/(x+1)^3))+(-(11/8/(x-1)^3))+2)
A254233 = (((-(233280/1873))*(A001365+(-((-(((1/30)*(((268*x^15)+(268*x^14)+(536*x^13)+(530*x^12)+(524*x^11)+(507*x^10)+(222*x^9)+(194*x^8))-(102*x^7)-(134*x^6)-(434*x^5)-(462*x^4)-(490*x^3)-(507*x^2)-(256*x)-262))/(((x^16+x^14)-x^10-x^8-x^6)+x^2+1)))+(-(-(-(-(-(-(-(((1/48)*(((74*x^15)+(56*x^14)+(38*x^13)+(19*x^12))-(19*x^10)-(38*x^9)-(56*x^8)-(148*x^7)-(145*x^6)-(142*x^5)-(134*x^4)-(126*x^3)-(115*x^2)-(104*x)-89))/((x^16-x^8)+1)))))))))+(-(-(-(-(-(-(-(((1/1152)*(((254*x^7)+(424*x^6)+(594*x^5)+(657*x^4)+(466*x^3)+(287*x^2)+(108*x))-73))/((x^8-x^4)+1)))))))))+(-(-(-(-(-(-(((1/300)*(((24*x^7)+(24*x^6))-(24*x^5)-(92*x^4)-(133*x^3)-(146*x^2)-(109*x)-44))/(((x^8+x^7)-x^5-x^4-x^3)+x+1))))))))+(-(-(-(-(-(-(((1/300)*((((((8*x^7)-(8*x^6)-(8*x^5))+(4*x^4))-(11*x^3))+(2*x^2))-(3*x)-12))/((((((x^8-x^7)+x^5)-x^4)+x^3)-x)+1))))))))+(-(-(-(-(-(-(((1/48)*(((2*x^7)+(2*x^6)+(2*x^5)+x^4)-x^2-(2*x)-2))/(x^8+1))))))))+(-(-(-(-(-(-(((1/30)*(((2*x^7)+(2*x^6)+(2*x^3)+x^2)-(2*x)-2))/((((x^8-x^6)+x^4)-x^2)+1))))))))+(-(-(-(-(-(((1/2488320)*(((442342*x^3)+(151192*x^2))-(582300*x)-464819))/((x^4-x^2)+1)))))))+(-(-(-(-(-(((1/1152)*(((38*x^3)+(19*x^2))-18))/(x^4+1)))))))+(-(-(-(-(-(((1/300)*((3*x^3)-(3*x^2)-4))/((((x^4-x^3)+x^2)-x)+1)))))))+(-(-(-(-(-(((1/300)*(x^3+x^2))/(x^4+x^3+x^2+x+1)))))))+(-(-(-(-(-(((1/5.3747712)*E9*((227167793*x)+227173793))/(x^2+x+1)))))))+(-(-(-(-(-(((1/597196800)*((82976631*x)-67206631))/((x^2-x)+1)))))))+(-(-(-(-(-(((1/1244160)*((19399*x)+949))/(x^2+1)))))))+(-(-(-(-(-(((1/192)*((3*x^6)+(6*x^5)+(8*x^4)+(10*x^3)+(8*x^2)+(6*x)+3))/((x^8-x^4)+1)^2))))))+(-(-(-(-(((1/138240)*(((5278*x^3)+(3023*x^2))-(4510*x)-4606))/((x^4-x^2)+1)^2)))))+(-(-(-(-(((1/1152)*(((2*x^3)+x^2)-1))/(x^4+1)^2)))))+(-(-(-(-(((1/358318080)*((2373000*x)+1275947))/(x^2+x+1)^2)))))+(-(-(-(-(((1/119439360)*((2363400*x)-1035091))/((x^2-x)+1)^2)))))+(-(-(-(-(((1/2488320)*((3796*x)+111))/(x^2+1)^2)))))+(-(-(-(-(42227063/398131200/(x+1))))))+(-(-(-(-((((1.08429218867*E11)/1.07495424)*E10)/(x-1))))))+(-(-(-(-(((1/69120)*(((288*x^3)+(221*x^2))-(134*x)-205))/((x^4-x^2)+1)^3)))))+(-(-(-(-(((1/6635520)*((9535*x)+294))/((x^2-x)+1)^3)))))+(-(-(-(-(((7/59719680)*((4259*x)+210))/(x^2+x+1)^3)))))+(-(-(-(-(((1/829440)*((74*x)+1))/(x^2+1)^3)))))+(-(-(-(-(((72835631/4.7775744)*E9)/(x+1)^2)))))+(-(-(-(-((((1.6880254657*E10)/4.29981696)*E10)/(x-1)^2)))))+(-(-(-(-(((1/11520)*(((2*x^3)+(2*x^2))-1))/((x^4-x^2)+1)^4)))))+(-(-(-(-(((1/9953280)*((149*x)-139))/(x^2+x+1)^4)))))+(-(-(-(-(((1/1105920)*((47*x)+49))/((x^2-x)+1)^4)))))+(-(-(-(-(9895/7962624/(x+1)^3)))))+(-(-(-(-(17414935/47775744/(x-1)^3)))))+(-(-(-(((1/414720)*x)/(x^2+1)^4))))+(-(-(-(22324517/398131200/(x-1)^4))))+(-(-(-(1/1658880/(x^2+x+1)^5))))+(-(-(1/552960/((x^2-x)+1)^5)))+(-(-(37/19906560/(x+1)^5)))+(-(-(281977/59719680/(x-1)^5)))+(-(1/39813120/(x+1)^6))+(-(29083/119439360/(x-1)^6))+(-(73/9953280/(x-1)^7))+(1/9953280/(x-1)^8)))))+(((1/972)*((113*x)+137))/(x^2+x+1))+(-(-(-(-(-(((1/12)*(x-1))/((x^2-x)+1)))))))+(-(-(-(-(3/32/(x^2+1))))))+(-(-(-(-(((1/162)*((12*x)+11))/(x^2+x+1)^2)))))+(-(-(-(-(41/384/(x+1))))))+(-(-(-(-(4345/31104/(x-1))))))+(-(-(-(83/1536/(x+1)^2))))+(-(-(-(9205/124416/(x-1)^2))))+(-(-(-(((1/27)*x)/(x^2+x+1)^3))))+(-(-(-(3/128/(x+1)^3))))+(-(-(-(3/64/(x-1)^3))))+(-(-(23/576/(x-1)^4)))+(-(-(5/144/(x-1)^5)))+(-(1/32/(x-1)^6))+(-(1/36/(x-1)^7))+(1/36/(x-1)^8))
A257171 = (((-(11197440/1873))*integrate((A001365+(-((-(((1/30)*(((268*x^15)+(268*x^14)+(536*x^13)+(530*x^12)+(524*x^11)+(507*x^10)+(222*x^9)+(194*x^8))-(102*x^7)-(134*x^6)-(434*x^5)-(462*x^4)-(490*x^3)-(507*x^2)-(256*x)-262))/(((x^16+x^14)-x^10-x^8-x^6)+x^2+1)))+(-(-(-(-(-(-(-(((1/48)*(((74*x^15)+(56*x^14)+(38*x^13)+(19*x^12))-(19*x^10)-(38*x^9)-(56*x^8)-(148*x^7)-(145*x^6)-(142*x^5)-(134*x^4)-(126*x^3)-(115*x^2)-(104*x)-89))/((x^16-x^8)+1)))))))))+(-(-(-(-(-(-(-(((1/1152)*(((254*x^7)+(424*x^6)+(594*x^5)+(657*x^4)+(466*x^3)+(287*x^2)+(108*x))-73))/((x^8-x^4)+1)))))))))+(-(-(-(-(-(-(((1/300)*(((24*x^7)+(24*x^6))-(24*x^5)-(92*x^4)-(133*x^3)-(146*x^2)-(109*x)-44))/(((x^8+x^7)-x^5-x^4-x^3)+x+1))))))))+(-(-(-(-(-(-(((1/300)*((((((8*x^7)-(8*x^6)-(8*x^5))+(4*x^4))-(11*x^3))+(2*x^2))-(3*x)-12))/((((((x^8-x^7)+x^5)-x^4)+x^3)-x)+1))))))))+(-(-(-(-(-(-(((1/48)*(((2*x^7)+(2*x^6)+(2*x^5)+x^4)-x^2-(2*x)-2))/(x^8+1))))))))+(-(-(-(-(-(-(((1/30)*(((2*x^7)+(2*x^6)+(2*x^3)+x^2)-(2*x)-2))/((((x^8-x^6)+x^4)-x^2)+1))))))))+(-(-(-(-(-(((1/2488320)*(((442342*x^3)+(151192*x^2))-(582300*x)-464819))/((x^4-x^2)+1)))))))+(-(-(-(-(-(((1/1152)*(((38*x^3)+(19*x^2))-18))/(x^4+1)))))))+(-(-(-(-(-(((1/300)*((3*x^3)-(3*x^2)-4))/((((x^4-x^3)+x^2)-x)+1)))))))+(-(-(-(-(-(((1/300)*(x^3+x^2))/(x^4+x^3+x^2+x+1)))))))+(-(-(-(-(-(((1/5.3747712)*E9*((227167793*x)+227173793))/(x^2+x+1)))))))+(-(-(-(-(-(((1/597196800)*((82976631*x)-67206631))/((x^2-x)+1)))))))+(-(-(-(-(-(((1/1244160)*((19399*x)+949))/(x^2+1)))))))+(-(-(-(-(-(((1/192)*((3*x^6)+(6*x^5)+(8*x^4)+(10*x^3)+(8*x^2)+(6*x)+3))/((x^8-x^4)+1)^2))))))+(-(-(-(-(((1/138240)*(((5278*x^3)+(3023*x^2))-(4510*x)-4606))/((x^4-x^2)+1)^2)))))+(-(-(-(-(((1/1152)*(((2*x^3)+x^2)-1))/(x^4+1)^2)))))+(-(-(-(-(((1/358318080)*((2373000*x)+1275947))/(x^2+x+1)^2)))))+(-(-(-(-(((1/119439360)*((2363400*x)-1035091))/((x^2-x)+1)^2)))))+(-(-(-(-(((1/2488320)*((3796*x)+111))/(x^2+1)^2)))))+(-(-(-(-(42227063/398131200/(x+1))))))+(-(-(-(-((((1.08429218867*E11)/1.07495424)*E10)/(x-1))))))+(-(-(-(-(((1/69120)*(((288*x^3)+(221*x^2))-(134*x)-205))/((x^4-x^2)+1)^3)))))+(-(-(-(-(((1/6635520)*((9535*x)+294))/((x^2-x)+1)^3)))))+(-(-(-(-(((7/59719680)*((4259*x)+210))/(x^2+x+1)^3)))))+(-(-(-(-(((1/829440)*((74*x)+1))/(x^2+1)^3)))))+(-(-(-(-(((72835631/4.7775744)*E9)/(x+1)^2)))))+(-(-(-(-((((1.6880254657*E10)/4.29981696)*E10)/(x-1)^2)))))+(-(-(-(-(((1/11520)*(((2*x^3)+(2*x^2))-1))/((x^4-x^2)+1)^4)))))+(-(-(-(-(((1/9953280)*((149*x)-139))/(x^2+x+1)^4)))))+(-(-(-(-(((1/1105920)*((47*x)+49))/((x^2-x)+1)^4)))))+(-(-(-(-(9895/7962624/(x+1)^3)))))+(-(-(-(-(17414935/47775744/(x-1)^3)))))+(-(-(-(((1/414720)*x)/(x^2+1)^4))))+(-(-(-(22324517/398131200/(x-1)^4))))+(-(-(-(1/1658880/(x^2+x+1)^5))))+(-(-(1/552960/((x^2-x)+1)^5)))+(-(-(37/19906560/(x+1)^5)))+(-(-(281977/59719680/(x-1)^5)))+(-(1/39813120/(x+1)^6))+(-(29083/119439360/(x-1)^6))+(-(73/9953280/(x-1)^7))+(1/9953280/(x-1)^8))))))+(2*x)+(-(-(3/8/(x+1))))+(-(-(3/8/(x-1))))+(-(3/4/(x-1)^2))+(-(3/8/(x-1)^3))+(-(3/4/(x-1)^4))+(-1))
A257890 = (((-(398131200/22324517))*(A001365+(-((-(((1/30)*(((268*x^15)+(268*x^14)+(536*x^13)+(530*x^12)+(524*x^11)+(507*x^10)+(222*x^9)+(194*x^8))-(102*x^7)-(134*x^6)-(434*x^5)-(462*x^4)-(490*x^3)-(507*x^2)-(256*x)-262))/(((x^16+x^14)-x^10-x^8-x^6)+x^2+1)))+(-(-(-(-(-(-(-(((1/48)*(((74*x^15)+(56*x^14)+(38*x^13)+(19*x^12))-(19*x^10)-(38*x^9)-(56*x^8)-(148*x^7)-(145*x^6)-(142*x^5)-(134*x^4)-(126*x^3)-(115*x^2)-(104*x)-89))/((x^16-x^8)+1)))))))))+(-(-(-(-(-(-(-(((1/1152)*(((254*x^7)+(424*x^6)+(594*x^5)+(657*x^4)+(466*x^3)+(287*x^2)+(108*x))-73))/((x^8-x^4)+1)))))))))+(-(-(-(-(-(-(((1/300)*(((24*x^7)+(24*x^6))-(24*x^5)-(92*x^4)-(133*x^3)-(146*x^2)-(109*x)-44))/(((x^8+x^7)-x^5-x^4-x^3)+x+1))))))))+(-(-(-(-(-(-(((1/300)*((((((8*x^7)-(8*x^6)-(8*x^5))+(4*x^4))-(11*x^3))+(2*x^2))-(3*x)-12))/((((((x^8-x^7)+x^5)-x^4)+x^3)-x)+1))))))))+(-(-(-(-(-(-(((1/48)*(((2*x^7)+(2*x^6)+(2*x^5)+x^4)-x^2-(2*x)-2))/(x^8+1))))))))+(-(-(-(-(-(-(((1/30)*(((2*x^7)+(2*x^6)+(2*x^3)+x^2)-(2*x)-2))/((((x^8-x^6)+x^4)-x^2)+1))))))))+(-(-(-(-(-(((1/2488320)*(((442342*x^3)+(151192*x^2))-(582300*x)-464819))/((x^4-x^2)+1)))))))+(-(-(-(-(-(((1/1152)*(((38*x^3)+(19*x^2))-18))/(x^4+1)))))))+(-(-(-(-(-(((1/300)*((3*x^3)-(3*x^2)-4))/((((x^4-x^3)+x^2)-x)+1)))))))+(-(-(-(-(-(((1/300)*(x^3+x^2))/(x^4+x^3+x^2+x+1)))))))+(-(-(-(-(-(((1/5.3747712)*E9*((227167793*x)+227173793))/(x^2+x+1)))))))+(-(-(-(-(-(((1/597196800)*((82976631*x)-67206631))/((x^2-x)+1)))))))+(-(-(-(-(-(((1/1244160)*((19399*x)+949))/(x^2+1)))))))+(-(-(-(-(-(((1/192)*((3*x^6)+(6*x^5)+(8*x^4)+(10*x^3)+(8*x^2)+(6*x)+3))/((x^8-x^4)+1)^2))))))+(-(-(-(-(((1/138240)*(((5278*x^3)+(3023*x^2))-(4510*x)-4606))/((x^4-x^2)+1)^2)))))+(-(-(-(-(((1/1152)*(((2*x^3)+x^2)-1))/(x^4+1)^2)))))+(-(-(-(-(((1/358318080)*((2373000*x)+1275947))/(x^2+x+1)^2)))))+(-(-(-(-(((1/119439360)*((2363400*x)-1035091))/((x^2-x)+1)^2)))))+(-(-(-(-(((1/2488320)*((3796*x)+111))/(x^2+1)^2)))))+(-(-(-(-(42227063/398131200/(x+1))))))+(-(-(-(-((((1.08429218867*E11)/1.07495424)*E10)/(x-1))))))+(-(-(-(-(((1/69120)*(((288*x^3)+(221*x^2))-(134*x)-205))/((x^4-x^2)+1)^3)))))+(-(-(-(-(((1/6635520)*((9535*x)+294))/((x^2-x)+1)^3)))))+(-(-(-(-(((7/59719680)*((4259*x)+210))/(x^2+x+1)^3)))))+(-(-(-(-(((1/829440)*((74*x)+1))/(x^2+1)^3)))))+(-(-(-(-(((72835631/4.7775744)*E9)/(x+1)^2)))))+(-(-(-(-((((1.6880254657*E10)/4.29981696)*E10)/(x-1)^2)))))+(-(-(-(-(((1/11520)*(((2*x^3)+(2*x^2))-1))/((x^4-x^2)+1)^4)))))+(-(-(-(-(((1/9953280)*((149*x)-139))/(x^2+x+1)^4)))))+(-(-(-(-(((1/1105920)*((47*x)+49))/((x^2-x)+1)^4)))))+(-(-(-(-(9895/7962624/(x+1)^3)))))+(-(-(-(-(17414935/47775744/(x-1)^3)))))+(-(-(-(((1/414720)*x)/(x^2+1)^4))))+(-(-(-(1873/29859840/(x+1)^4))))+(-(-(-(1/1658880/(x^2+x+1)^5))))+(-(-(1/552960/((x^2-x)+1)^5)))+(-(-(37/19906560/(x+1)^5)))+(-(-(281977/59719680/(x-1)^5)))+(-(1/39813120/(x+1)^6))+(-(29083/119439360/(x-1)^6))+(-(73/9953280/(x-1)^7))+(1/9953280/(x-1)^8)))))+(1/(x-1)^2)+(1/(x-1)^6))
A257464 = (((-(348364800/22324517))*integrate((A001365+(-((-(((1/30)*(((268*x^15)+(268*x^14)+(536*x^13)+(530*x^12)+(524*x^11)+(507*x^10)+(222*x^9)+(194*x^8))-(102*x^7)-(134*x^6)-(434*x^5)-(462*x^4)-(490*x^3)-(507*x^2)-(256*x)-262))/(((x^16+x^14)-x^10-x^8-x^6)+x^2+1)))+(-(-(-(-(-(-(-(((1/48)*(((74*x^15)+(56*x^14)+(38*x^13)+(19*x^12))-(19*x^10)-(38*x^9)-(56*x^8)-(148*x^7)-(145*x^6)-(142*x^5)-(134*x^4)-(126*x^3)-(115*x^2)-(104*x)-89))/((x^16-x^8)+1)))))))))+(-(-(-(-(-(-(-(((1/1152)*(((254*x^7)+(424*x^6)+(594*x^5)+(657*x^4)+(466*x^3)+(287*x^2)+(108*x))-73))/((x^8-x^4)+1)))))))))+(-(-(-(-(-(-(((1/300)*(((24*x^7)+(24*x^6))-(24*x^5)-(92*x^4)-(133*x^3)-(146*x^2)-(109*x)-44))/(((x^8+x^7)-x^5-x^4-x^3)+x+1))))))))+(-(-(-(-(-(-(((1/300)*((((((8*x^7)-(8*x^6)-(8*x^5))+(4*x^4))-(11*x^3))+(2*x^2))-(3*x)-12))/((((((x^8-x^7)+x^5)-x^4)+x^3)-x)+1))))))))+(-(-(-(-(-(-(((1/48)*(((2*x^7)+(2*x^6)+(2*x^5)+x^4)-x^2-(2*x)-2))/(x^8+1))))))))+(-(-(-(-(-(-(((1/30)*(((2*x^7)+(2*x^6)+(2*x^3)+x^2)-(2*x)-2))/((((x^8-x^6)+x^4)-x^2)+1))))))))+(-(-(-(-(-(((1/2488320)*(((442342*x^3)+(151192*x^2))-(582300*x)-464819))/((x^4-x^2)+1)))))))+(-(-(-(-(-(((1/1152)*(((38*x^3)+(19*x^2))-18))/(x^4+1)))))))+(-(-(-(-(-(((1/300)*((3*x^3)-(3*x^2)-4))/((((x^4-x^3)+x^2)-x)+1)))))))+(-(-(-(-(-(((1/300)*(x^3+x^2))/(x^4+x^3+x^2+x+1)))))))+(-(-(-(-(-(((1/5.3747712)*E9*((227167793*x)+227173793))/(x^2+x+1)))))))+(-(-(-(-(-(((1/597196800)*((82976631*x)-67206631))/((x^2-x)+1)))))))+(-(-(-(-(-(((1/1244160)*((19399*x)+949))/(x^2+1)))))))+(-(-(-(-(-(((1/192)*((3*x^6)+(6*x^5)+(8*x^4)+(10*x^3)+(8*x^2)+(6*x)+3))/((x^8-x^4)+1)^2))))))+(-(-(-(-(((1/138240)*(((5278*x^3)+(3023*x^2))-(4510*x)-4606))/((x^4-x^2)+1)^2)))))+(-(-(-(-(((1/1152)*(((2*x^3)+x^2)-1))/(x^4+1)^2)))))+(-(-(-(-(((1/358318080)*((2373000*x)+1275947))/(x^2+x+1)^2)))))+(-(-(-(-(((1/119439360)*((2363400*x)-1035091))/((x^2-x)+1)^2)))))+(-(-(-(-(((1/2488320)*((3796*x)+111))/(x^2+1)^2)))))+(-(-(-(-(42227063/398131200/(x+1))))))+(-(-(-(-((((1.08429218867*E11)/1.07495424)*E10)/(x-1))))))+(-(-(-(-(((1/69120)*(((288*x^3)+(221*x^2))-(134*x)-205))/((x^4-x^2)+1)^3)))))+(-(-(-(-(((1/6635520)*((9535*x)+294))/((x^2-x)+1)^3)))))+(-(-(-(-(((7/59719680)*((4259*x)+210))/(x^2+x+1)^3)))))+(-(-(-(-(((1/829440)*((74*x)+1))/(x^2+1)^3)))))+(-(-(-(-(((72835631/4.7775744)*E9)/(x+1)^2)))))+(-(-(-(-((((1.6880254657*E10)/4.29981696)*E10)/(x-1)^2)))))+(-(-(-(-(((1/11520)*(((2*x^3)+(2*x^2))-1))/((x^4-x^2)+1)^4)))))+(-(-(-(-(((1/9953280)*((149*x)-139))/(x^2+x+1)^4)))))+(-(-(-(-(((1/1105920)*((47*x)+49))/((x^2-x)+1)^4)))))+(-(-(-(-(9895/7962624/(x+1)^3)))))+(-(-(-(-(17414935/47775744/(x-1)^3)))))+(-(-(-(((1/414720)*x)/(x^2+1)^4))))+(-(-(-(1873/29859840/(x+1)^4))))+(-(-(-(1/1658880/(x^2+x+1)^5))))+(-(-(1/552960/((x^2-x)+1)^5)))+(-(-(37/19906560/(x+1)^5)))+(-(-(281977/59719680/(x-1)^5)))+(-(1/39813120/(x+1)^6))+(-(29083/119439360/(x-1)^6))+(-(73/9953280/(x-1)^7))+(1/9953280/(x-1)^8))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257464 = (((-(49766400/22324517))*differential((A001365+(-((-(((1/30)*(((268*x^15)+(268*x^14)+(536*x^13)+(530*x^12)+(524*x^11)+(507*x^10)+(222*x^9)+(194*x^8))-(102*x^7)-(134*x^6)-(434*x^5)-(462*x^4)-(490*x^3)-(507*x^2)-(256*x)-262))/(((x^16+x^14)-x^10-x^8-x^6)+x^2+1)))+(-(-(-(-(-(-(-(((1/48)*(((74*x^15)+(56*x^14)+(38*x^13)+(19*x^12))-(19*x^10)-(38*x^9)-(56*x^8)-(148*x^7)-(145*x^6)-(142*x^5)-(134*x^4)-(126*x^3)-(115*x^2)-(104*x)-89))/((x^16-x^8)+1)))))))))+(-(-(-(-(-(-(-(((1/1152)*(((254*x^7)+(424*x^6)+(594*x^5)+(657*x^4)+(466*x^3)+(287*x^2)+(108*x))-73))/((x^8-x^4)+1)))))))))+(-(-(-(-(-(-(((1/300)*(((24*x^7)+(24*x^6))-(24*x^5)-(92*x^4)-(133*x^3)-(146*x^2)-(109*x)-44))/(((x^8+x^7)-x^5-x^4-x^3)+x+1))))))))+(-(-(-(-(-(-(((1/300)*((((((8*x^7)-(8*x^6)-(8*x^5))+(4*x^4))-(11*x^3))+(2*x^2))-(3*x)-12))/((((((x^8-x^7)+x^5)-x^4)+x^3)-x)+1))))))))+(-(-(-(-(-(-(((1/48)*(((2*x^7)+(2*x^6)+(2*x^5)+x^4)-x^2-(2*x)-2))/(x^8+1))))))))+(-(-(-(-(-(-(((1/30)*(((2*x^7)+(2*x^6)+(2*x^3)+x^2)-(2*x)-2))/((((x^8-x^6)+x^4)-x^2)+1))))))))+(-(-(-(-(-(((1/2488320)*(((442342*x^3)+(151192*x^2))-(582300*x)-464819))/((x^4-x^2)+1)))))))+(-(-(-(-(-(((1/1152)*(((38*x^3)+(19*x^2))-18))/(x^4+1)))))))+(-(-(-(-(-(((1/300)*((3*x^3)-(3*x^2)-4))/((((x^4-x^3)+x^2)-x)+1)))))))+(-(-(-(-(-(((1/300)*(x^3+x^2))/(x^4+x^3+x^2+x+1)))))))+(-(-(-(-(-(((1/5.3747712)*E9*((227167793*x)+227173793))/(x^2+x+1)))))))+(-(-(-(-(-(((1/597196800)*((82976631*x)-67206631))/((x^2-x)+1)))))))+(-(-(-(-(-(((1/1244160)*((19399*x)+949))/(x^2+1)))))))+(-(-(-(-(-(((1/192)*((3*x^6)+(6*x^5)+(8*x^4)+(10*x^3)+(8*x^2)+(6*x)+3))/((x^8-x^4)+1)^2))))))+(-(-(-(-(((1/138240)*(((5278*x^3)+(3023*x^2))-(4510*x)-4606))/((x^4-x^2)+1)^2)))))+(-(-(-(-(((1/1152)*(((2*x^3)+x^2)-1))/(x^4+1)^2)))))+(-(-(-(-(((1/358318080)*((2373000*x)+1275947))/(x^2+x+1)^2)))))+(-(-(-(-(((1/119439360)*((2363400*x)-1035091))/((x^2-x)+1)^2)))))+(-(-(-(-(((1/2488320)*((3796*x)+111))/(x^2+1)^2)))))+(-(-(-(-(42227063/398131200/(x+1))))))+(-(-(-(-((((1.08429218867*E11)/1.07495424)*E10)/(x-1))))))+(-(-(-(-(((1/69120)*(((288*x^3)+(221*x^2))-(134*x)-205))/((x^4-x^2)+1)^3)))))+(-(-(-(-(((1/6635520)*((9535*x)+294))/((x^2-x)+1)^3)))))+(-(-(-(-(((7/59719680)*((4259*x)+210))/(x^2+x+1)^3)))))+(-(-(-(-(((1/829440)*((74*x)+1))/(x^2+1)^3)))))+(-(-(-(-(((72835631/4.7775744)*E9)/(x+1)^2)))))+(-(-(-(-((((1.6880254657*E10)/4.29981696)*E10)/(x-1)^2)))))+(-(-(-(-(((1/11520)*(((2*x^3)+(2*x^2))-1))/((x^4-x^2)+1)^4)))))+(-(-(-(-(((1/9953280)*((149*x)-139))/(x^2+x+1)^4)))))+(-(-(-(-(((1/1105920)*((47*x)+49))/((x^2-x)+1)^4)))))+(-(-(-(-(9895/7962624/(x+1)^3)))))+(-(-(-(-(17414935/47775744/(x-1)^3)))))+(-(-(-(((1/414720)*x)/(x^2+1)^4))))+(-(-(-(1873/29859840/(x+1)^4))))+(-(-(-(1/1658880/(x^2+x+1)^5))))+(-(-(1/552960/((x^2-x)+1)^5)))+(-(-(37/19906560/(x+1)^5)))+(-(-(281977/59719680/(x-1)^5)))+(-(1/39813120/(x+1)^6))+(-(29083/119439360/(x-1)^6))+(-(73/9953280/(x-1)^7))+(1/9953280/(x-1)^8))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(7/24/(x-1)^3))+(-(1/2/(x-1)^4)))
A091726 = (((512/9)*(A001365+(-((-(((1/30)*(((268*x^15)+(268*x^14)+(536*x^13)+(530*x^12)+(524*x^11)+(507*x^10)+(222*x^9)+(194*x^8))-(102*x^7)-(134*x^6)-(434*x^5)-(462*x^4)-(490*x^3)-(507*x^2)-(256*x)-262))/(((x^16+x^14)-x^10-x^8-x^6)+x^2+1)))+(-(-(-(-(-(-(-(((1/48)*(((74*x^15)+(56*x^14)+(38*x^13)+(19*x^12))-(19*x^10)-(38*x^9)-(56*x^8)-(148*x^7)-(145*x^6)-(142*x^5)-(134*x^4)-(126*x^3)-(115*x^2)-(104*x)-89))/((x^16-x^8)+1)))))))))+(-(-(-(-(-(-(-(((1/1152)*(((254*x^7)+(424*x^6)+(594*x^5)+(657*x^4)+(466*x^3)+(287*x^2)+(108*x))-73))/((x^8-x^4)+1)))))))))+(-(-(-(-(-(-(((1/300)*(((24*x^7)+(24*x^6))-(24*x^5)-(92*x^4)-(133*x^3)-(146*x^2)-(109*x)-44))/(((x^8+x^7)-x^5-x^4-x^3)+x+1))))))))+(-(-(-(-(-(-(((1/300)*((((((8*x^7)-(8*x^6)-(8*x^5))+(4*x^4))-(11*x^3))+(2*x^2))-(3*x)-12))/((((((x^8-x^7)+x^5)-x^4)+x^3)-x)+1))))))))+(-(-(-(-(-(-(((1/48)*(((2*x^7)+(2*x^6)+(2*x^5)+x^4)-x^2-(2*x)-2))/(x^8+1))))))))+(-(-(-(-(-(-(((1/30)*(((2*x^7)+(2*x^6)+(2*x^3)+x^2)-(2*x)-2))/((((x^8-x^6)+x^4)-x^2)+1))))))))+(-(-(-(-(-(((1/2488320)*(((442342*x^3)+(151192*x^2))-(582300*x)-464819))/((x^4-x^2)+1)))))))+(-(-(-(-(-(((1/1152)*(((38*x^3)+(19*x^2))-18))/(x^4+1)))))))+(-(-(-(-(-(((1/300)*((3*x^3)-(3*x^2)-4))/((((x^4-x^3)+x^2)-x)+1)))))))+(-(-(-(-(-(((1/300)*(x^3+x^2))/(x^4+x^3+x^2+x+1)))))))+(-(-(-(-(-(((1/5.3747712)*E9*((227167793*x)+227173793))/(x^2+x+1)))))))+(-(-(-(-(-(((1/597196800)*((82976631*x)-67206631))/((x^2-x)+1)))))))+(-(-(-(-(-(((1/1244160)*((19399*x)+949))/(x^2+1)))))))+(-(-(-(-(-(((1/192)*((3*x^6)+(6*x^5)+(8*x^4)+(10*x^3)+(8*x^2)+(6*x)+3))/((x^8-x^4)+1)^2))))))+(-(-(-(-(((1/138240)*(((5278*x^3)+(3023*x^2))-(4510*x)-4606))/((x^4-x^2)+1)^2)))))+(-(-(-(-(((1/1152)*(((2*x^3)+x^2)-1))/(x^4+1)^2)))))+(-(-(-(-(((1/358318080)*((2373000*x)+1275947))/(x^2+x+1)^2)))))+(-(-(-(-(((1/119439360)*((2363400*x)-1035091))/((x^2-x)+1)^2)))))+(-(-(-(-(((1/2488320)*((3796*x)+111))/(x^2+1)^2)))))+(-(-(-(-(42227063/398131200/(x+1))))))+(-(-(-(-((((1.08429218867*E11)/1.07495424)*E10)/(x-1))))))+(-(-(-(-(((1/69120)*(((288*x^3)+(221*x^2))-(134*x)-205))/((x^4-x^2)+1)^3)))))+(-(-(-(-(((1/6635520)*((9535*x)+294))/((x^2-x)+1)^3)))))+(-(-(-(-(((7/59719680)*((4259*x)+210))/(x^2+x+1)^3)))))+(-(-(-(-(((1/829440)*((74*x)+1))/(x^2+1)^3)))))+(-(-(-(-(((72835631/4.7775744)*E9)/(x+1)^2)))))+(-(-(-(-((((1.6880254657*E10)/4.29981696)*E10)/(x-1)^2)))))+(-(-(-(-(((1/11520)*(((2*x^3)+(2*x^2))-1))/((x^4-x^2)+1)^4)))))+(-(-(-(-(((1/9953280)*((149*x)-139))/(x^2+x+1)^4)))))+(-(-(-(-(((1/1105920)*((47*x)+49))/((x^2-x)+1)^4)))))+(-(-(-(-(9895/7962624/(x+1)^3)))))+(-(-(-(-(17414935/47775744/(x-1)^3)))))+(-(-(-(((1/414720)*x)/(x^2+1)^4))))+(-(-(-(1873/29859840/(x+1)^4))))+(-(-(-(22324517/398131200/(x-1)^4))))+(-(-(1/552960/((x^2-x)+1)^5)))+(-(-(37/19906560/(x+1)^5)))+(-(-(281977/59719680/(x-1)^5)))+(-(1/39813120/(x+1)^6))+(-(29083/119439360/(x-1)^6))+(-(73/9953280/(x-1)^7))+(1/9953280/(x-1)^8)))))+(-(((1/75)*(((((x^7-x^6-x^5)+(3*x^4))-(2*x^3)-x^2)+(4*x))-4))/((((((x^8-x^7)+x^5)-x^4)+x^3)-x)+1)))+(-(-(-(-(-(-(-(-(-(((1/81)*((((2*x^5)-(3*x^4))+x^3+x^2)-1))/(x^6+x^3+1)))))))))))+(-(-(-(-(-(-(-(-(((1/1500)*((23*x^3)+(44*x^2)+(63*x)+80))/(x^4+x^3+x^2+x+1))))))))))+(-(-(-(-(-(-(-(-(((1/100)*(((x^3-(2*x^2))+(3*x))-4))/((((x^4-x^3)+x^2)-x)+1))))))))))+(-(-(-(-(-(-(-(((1/48)*(x^3+1))/((x^4-x^2)+1)))))))))+(-(-(-(-(-(-(-(((1/32)*(x^3+1))/(x^4+1)))))))))+(-(-(-(-(-(-(-(((1/188956800)*((5081449*x)+24796249))/(x^2+x+1)))))))))+(-(-(-(-(-(-(-(((1/3456)*((91*x)-139))/((x^2-x)+1)))))))))+(-(-(-(-(-(-(-(((1/1536)*((20*x)-57))/(x^2+1)))))))))+(-(-(-(-(-(-(((1/150)*((2*x^3)+(3*x^2)+(3*x)+2))/(x^4+x^3+x^2+x+1)^2)))))))+(-(-(-(-(-(-(((1/629856)*((14049*x)+26380))/(x^2+x+1)^2)))))))+(-(-(-(-(-(-(((5/1728)*((2*x)-1))/((x^2-x)+1)^2)))))))+(-(-(-(-(-(14492911/88473600/(x+1)))))))+(-(-(-(-(-((((1.65186642137*E11)/9.67458816)*E11)/(x-1)))))))+(-(-(-(-(-(((7/1536)*(x-1))/(x^2+1)^2))))))+(-(-(-(-(((5/69984)*((107*x)+132))/(x^2+x+1)^3)))))+(-(-(-(-(36685/884736/(x+1)^2)))))+(-(-(-(-((((3.7111130419*E10)/4.83729408)*E11)/(x-1)^2)))))+(-(-(-(-(((1/17496)*((26*x)+29))/(x^2+x+1)^4)))))+(-(-(-(-(6947/884736/(x+1)^3)))))+(-(-(-(-(3213121/107495424/(x-1)^3)))))+(-(-(-(43/36864/(x+1)^4))))+(-(-(-(1672759/161243136/(x-1)^4))))+(-(-(-(43/368640/(x+1)^5))))+(-(-(-(145027/44789760/(x-1)^5))))+(-(-(2023/2239488/(x-1)^6)))+(-(-(1003/4478976/(x-1)^7)))+(-(107/2239488/(x-1)^8))+(-(1/124416/(x-1)^9))+(1/933120/(x-1)^10))
A254233 = (((-(622080/37))*integrate((A001365+(-((-(((1/30)*(((268*x^15)+(268*x^14)+(536*x^13)+(530*x^12)+(524*x^11)+(507*x^10)+(222*x^9)+(194*x^8))-(102*x^7)-(134*x^6)-(434*x^5)-(462*x^4)-(490*x^3)-(507*x^2)-(256*x)-262))/(((x^16+x^14)-x^10-x^8-x^6)+x^2+1)))+(-(-(-(-(-(-(-(((1/48)*(((74*x^15)+(56*x^14)+(38*x^13)+(19*x^12))-(19*x^10)-(38*x^9)-(56*x^8)-(148*x^7)-(145*x^6)-(142*x^5)-(134*x^4)-(126*x^3)-(115*x^2)-(104*x)-89))/((x^16-x^8)+1)))))))))+(-(-(-(-(-(-(-(((1/1152)*(((254*x^7)+(424*x^6)+(594*x^5)+(657*x^4)+(466*x^3)+(287*x^2)+(108*x))-73))/((x^8-x^4)+1)))))))))+(-(-(-(-(-(-(((1/300)*(((24*x^7)+(24*x^6))-(24*x^5)-(92*x^4)-(133*x^3)-(146*x^2)-(109*x)-44))/(((x^8+x^7)-x^5-x^4-x^3)+x+1))))))))+(-(-(-(-(-(-(((1/300)*((((((8*x^7)-(8*x^6)-(8*x^5))+(4*x^4))-(11*x^3))+(2*x^2))-(3*x)-12))/((((((x^8-x^7)+x^5)-x^4)+x^3)-x)+1))))))))+(-(-(-(-(-(-(((1/48)*(((2*x^7)+(2*x^6)+(2*x^5)+x^4)-x^2-(2*x)-2))/(x^8+1))))))))+(-(-(-(-(-(-(((1/30)*(((2*x^7)+(2*x^6)+(2*x^3)+x^2)-(2*x)-2))/((((x^8-x^6)+x^4)-x^2)+1))))))))+(-(-(-(-(-(((1/2488320)*(((442342*x^3)+(151192*x^2))-(582300*x)-464819))/((x^4-x^2)+1)))))))+(-(-(-(-(-(((1/1152)*(((38*x^3)+(19*x^2))-18))/(x^4+1)))))))+(-(-(-(-(-(((1/300)*((3*x^3)-(3*x^2)-4))/((((x^4-x^3)+x^2)-x)+1)))))))+(-(-(-(-(-(((1/300)*(x^3+x^2))/(x^4+x^3+x^2+x+1)))))))+(-(-(-(-(-(((1/5.3747712)*E9*((227167793*x)+227173793))/(x^2+x+1)))))))+(-(-(-(-(-(((1/597196800)*((82976631*x)-67206631))/((x^2-x)+1)))))))+(-(-(-(-(-(((1/1244160)*((19399*x)+949))/(x^2+1)))))))+(-(-(-(-(-(((1/192)*((3*x^6)+(6*x^5)+(8*x^4)+(10*x^3)+(8*x^2)+(6*x)+3))/((x^8-x^4)+1)^2))))))+(-(-(-(-(((1/138240)*(((5278*x^3)+(3023*x^2))-(4510*x)-4606))/((x^4-x^2)+1)^2)))))+(-(-(-(-(((1/1152)*(((2*x^3)+x^2)-1))/(x^4+1)^2)))))+(-(-(-(-(((1/358318080)*((2373000*x)+1275947))/(x^2+x+1)^2)))))+(-(-(-(-(((1/119439360)*((2363400*x)-1035091))/((x^2-x)+1)^2)))))+(-(-(-(-(((1/2488320)*((3796*x)+111))/(x^2+1)^2)))))+(-(-(-(-(42227063/398131200/(x+1))))))+(-(-(-(-((((1.08429218867*E11)/1.07495424)*E10)/(x-1))))))+(-(-(-(-(((1/69120)*(((288*x^3)+(221*x^2))-(134*x)-205))/((x^4-x^2)+1)^3)))))+(-(-(-(-(((1/6635520)*((9535*x)+294))/((x^2-x)+1)^3)))))+(-(-(-(-(((7/59719680)*((4259*x)+210))/(x^2+x+1)^3)))))+(-(-(-(-(((1/829440)*((74*x)+1))/(x^2+1)^3)))))+(-(-(-(-(((72835631/4.7775744)*E9)/(x+1)^2)))))+(-(-(-(-((((1.6880254657*E10)/4.29981696)*E10)/(x-1)^2)))))+(-(-(-(-(((1/11520)*(((2*x^3)+(2*x^2))-1))/((x^4-x^2)+1)^4)))))+(-(-(-(-(((1/9953280)*((149*x)-139))/(x^2+x+1)^4)))))+(-(-(-(-(((1/1105920)*((47*x)+49))/((x^2-x)+1)^4)))))+(-(-(-(-(9895/7962624/(x+1)^3)))))+(-(-(-(-(17414935/47775744/(x-1)^3)))))+(-(-(-(((1/414720)*x)/(x^2+1)^4))))+(-(-(-(1873/29859840/(x+1)^4))))+(-(-(-(22324517/398131200/(x-1)^4))))+(-(-(-(1/1658880/(x^2+x+1)^5))))+(-(-(1/552960/((x^2-x)+1)^5)))+(-(-(281977/59719680/(x-1)^5)))+(-(1/39813120/(x+1)^6))+(-(29083/119439360/(x-1)^6))+(-(73/9953280/(x-1)^7))+(1/9953280/(x-1)^8))))))+(((1/972)*((113*x)+137))/(x^2+x+1))+(-(-(-(-(-(((1/12)*(x-1))/((x^2-x)+1)))))))+(-(-(-(-(3/32/(x^2+1))))))+(-(-(-(-(((1/162)*((12*x)+11))/(x^2+x+1)^2)))))+(-(-(-(-(41/384/(x+1))))))+(-(-(-(-(4345/31104/(x-1))))))+(-(-(-(83/1536/(x+1)^2))))+(-(-(-(9205/124416/(x-1)^2))))+(-(-(-(((1/27)*x)/(x^2+x+1)^3))))+(-(-(-(3/128/(x+1)^3))))+(-(-(-(3/64/(x-1)^3))))+(-(-(23/576/(x-1)^4)))+(-(-(5/144/(x-1)^5)))+(-(1/32/(x-1)^6))+(-(1/36/(x-1)^7))+(1/36/(x-1)^8))
A257464 = (((-(29859840/281977))*(A001365+(-((-(((1/30)*(((268*x^15)+(268*x^14)+(536*x^13)+(530*x^12)+(524*x^11)+(507*x^10)+(222*x^9)+(194*x^8))-(102*x^7)-(134*x^6)-(434*x^5)-(462*x^4)-(490*x^3)-(507*x^2)-(256*x)-262))/(((x^16+x^14)-x^10-x^8-x^6)+x^2+1)))+(-(-(-(-(-(-(-(((1/48)*(((74*x^15)+(56*x^14)+(38*x^13)+(19*x^12))-(19*x^10)-(38*x^9)-(56*x^8)-(148*x^7)-(145*x^6)-(142*x^5)-(134*x^4)-(126*x^3)-(115*x^2)-(104*x)-89))/((x^16-x^8)+1)))))))))+(-(-(-(-(-(-(-(((1/1152)*(((254*x^7)+(424*x^6)+(594*x^5)+(657*x^4)+(466*x^3)+(287*x^2)+(108*x))-73))/((x^8-x^4)+1)))))))))+(-(-(-(-(-(-(((1/300)*(((24*x^7)+(24*x^6))-(24*x^5)-(92*x^4)-(133*x^3)-(146*x^2)-(109*x)-44))/(((x^8+x^7)-x^5-x^4-x^3)+x+1))))))))+(-(-(-(-(-(-(((1/300)*((((((8*x^7)-(8*x^6)-(8*x^5))+(4*x^4))-(11*x^3))+(2*x^2))-(3*x)-12))/((((((x^8-x^7)+x^5)-x^4)+x^3)-x)+1))))))))+(-(-(-(-(-(-(((1/48)*(((2*x^7)+(2*x^6)+(2*x^5)+x^4)-x^2-(2*x)-2))/(x^8+1))))))))+(-(-(-(-(-(-(((1/30)*(((2*x^7)+(2*x^6)+(2*x^3)+x^2)-(2*x)-2))/((((x^8-x^6)+x^4)-x^2)+1))))))))+(-(-(-(-(-(((1/2488320)*(((442342*x^3)+(151192*x^2))-(582300*x)-464819))/((x^4-x^2)+1)))))))+(-(-(-(-(-(((1/1152)*(((38*x^3)+(19*x^2))-18))/(x^4+1)))))))+(-(-(-(-(-(((1/300)*((3*x^3)-(3*x^2)-4))/((((x^4-x^3)+x^2)-x)+1)))))))+(-(-(-(-(-(((1/300)*(x^3+x^2))/(x^4+x^3+x^2+x+1)))))))+(-(-(-(-(-(((1/5.3747712)*E9*((227167793*x)+227173793))/(x^2+x+1)))))))+(-(-(-(-(-(((1/597196800)*((82976631*x)-67206631))/((x^2-x)+1)))))))+(-(-(-(-(-(((1/1244160)*((19399*x)+949))/(x^2+1)))))))+(-(-(-(-(-(((1/192)*((3*x^6)+(6*x^5)+(8*x^4)+(10*x^3)+(8*x^2)+(6*x)+3))/((x^8-x^4)+1)^2))))))+(-(-(-(-(((1/138240)*(((5278*x^3)+(3023*x^2))-(4510*x)-4606))/((x^4-x^2)+1)^2)))))+(-(-(-(-(((1/1152)*(((2*x^3)+x^2)-1))/(x^4+1)^2)))))+(-(-(-(-(((1/358318080)*((2373000*x)+1275947))/(x^2+x+1)^2)))))+(-(-(-(-(((1/119439360)*((2363400*x)-1035091))/((x^2-x)+1)^2)))))+(-(-(-(-(((1/2488320)*((3796*x)+111))/(x^2+1)^2)))))+(-(-(-(-(42227063/398131200/(x+1))))))+(-(-(-(-((((1.08429218867*E11)/1.07495424)*E10)/(x-1))))))+(-(-(-(-(((1/69120)*(((288*x^3)+(221*x^2))-(134*x)-205))/((x^4-x^2)+1)^3)))))+(-(-(-(-(((1/6635520)*((9535*x)+294))/((x^2-x)+1)^3)))))+(-(-(-(-(((7/59719680)*((4259*x)+210))/(x^2+x+1)^3)))))+(-(-(-(-(((1/829440)*((74*x)+1))/(x^2+1)^3)))))+(-(-(-(-(((72835631/4.7775744)*E9)/(x+1)^2)))))+(-(-(-(-((((1.6880254657*E10)/4.29981696)*E10)/(x-1)^2)))))+(-(-(-(-(((1/11520)*(((2*x^3)+(2*x^2))-1))/((x^4-x^2)+1)^4)))))+(-(-(-(-(((1/9953280)*((149*x)-139))/(x^2+x+1)^4)))))+(-(-(-(-(((1/1105920)*((47*x)+49))/((x^2-x)+1)^4)))))+(-(-(-(-(9895/7962624/(x+1)^3)))))+(-(-(-(-(17414935/47775744/(x-1)^3)))))+(-(-(-(((1/414720)*x)/(x^2+1)^4))))+(-(-(-(1873/29859840/(x+1)^4))))+(-(-(-(22324517/398131200/(x-1)^4))))+(-(-(-(1/1658880/(x^2+x+1)^5))))+(-(-(1/552960/((x^2-x)+1)^5)))+(-(-(37/19906560/(x+1)^5)))+(-(1/39813120/(x+1)^6))+(-(29083/119439360/(x-1)^6))+(-(73/9953280/(x-1)^7))+(1/9953280/(x-1)^8)))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(7/24/(x-1)^3))+(-(1/2/(x-1)^4)))
A257890 = (((-(238878720/281977))*integrate((A001365+(-((-(((1/30)*(((268*x^15)+(268*x^14)+(536*x^13)+(530*x^12)+(524*x^11)+(507*x^10)+(222*x^9)+(194*x^8))-(102*x^7)-(134*x^6)-(434*x^5)-(462*x^4)-(490*x^3)-(507*x^2)-(256*x)-262))/(((x^16+x^14)-x^10-x^8-x^6)+x^2+1)))+(-(-(-(-(-(-(-(((1/48)*(((74*x^15)+(56*x^14)+(38*x^13)+(19*x^12))-(19*x^10)-(38*x^9)-(56*x^8)-(148*x^7)-(145*x^6)-(142*x^5)-(134*x^4)-(126*x^3)-(115*x^2)-(104*x)-89))/((x^16-x^8)+1)))))))))+(-(-(-(-(-(-(-(((1/1152)*(((254*x^7)+(424*x^6)+(594*x^5)+(657*x^4)+(466*x^3)+(287*x^2)+(108*x))-73))/((x^8-x^4)+1)))))))))+(-(-(-(-(-(-(((1/300)*(((24*x^7)+(24*x^6))-(24*x^5)-(92*x^4)-(133*x^3)-(146*x^2)-(109*x)-44))/(((x^8+x^7)-x^5-x^4-x^3)+x+1))))))))+(-(-(-(-(-(-(((1/300)*((((((8*x^7)-(8*x^6)-(8*x^5))+(4*x^4))-(11*x^3))+(2*x^2))-(3*x)-12))/((((((x^8-x^7)+x^5)-x^4)+x^3)-x)+1))))))))+(-(-(-(-(-(-(((1/48)*(((2*x^7)+(2*x^6)+(2*x^5)+x^4)-x^2-(2*x)-2))/(x^8+1))))))))+(-(-(-(-(-(-(((1/30)*(((2*x^7)+(2*x^6)+(2*x^3)+x^2)-(2*x)-2))/((((x^8-x^6)+x^4)-x^2)+1))))))))+(-(-(-(-(-(((1/2488320)*(((442342*x^3)+(151192*x^2))-(582300*x)-464819))/((x^4-x^2)+1)))))))+(-(-(-(-(-(((1/1152)*(((38*x^3)+(19*x^2))-18))/(x^4+1)))))))+(-(-(-(-(-(((1/300)*((3*x^3)-(3*x^2)-4))/((((x^4-x^3)+x^2)-x)+1)))))))+(-(-(-(-(-(((1/300)*(x^3+x^2))/(x^4+x^3+x^2+x+1)))))))+(-(-(-(-(-(((1/5.3747712)*E9*((227167793*x)+227173793))/(x^2+x+1)))))))+(-(-(-(-(-(((1/597196800)*((82976631*x)-67206631))/((x^2-x)+1)))))))+(-(-(-(-(-(((1/1244160)*((19399*x)+949))/(x^2+1)))))))+(-(-(-(-(-(((1/192)*((3*x^6)+(6*x^5)+(8*x^4)+(10*x^3)+(8*x^2)+(6*x)+3))/((x^8-x^4)+1)^2))))))+(-(-(-(-(((1/138240)*(((5278*x^3)+(3023*x^2))-(4510*x)-4606))/((x^4-x^2)+1)^2)))))+(-(-(-(-(((1/1152)*(((2*x^3)+x^2)-1))/(x^4+1)^2)))))+(-(-(-(-(((1/358318080)*((2373000*x)+1275947))/(x^2+x+1)^2)))))+(-(-(-(-(((1/119439360)*((2363400*x)-1035091))/((x^2-x)+1)^2)))))+(-(-(-(-(((1/2488320)*((3796*x)+111))/(x^2+1)^2)))))+(-(-(-(-(42227063/398131200/(x+1))))))+(-(-(-(-((((1.08429218867*E11)/1.07495424)*E10)/(x-1))))))+(-(-(-(-(((1/69120)*(((288*x^3)+(221*x^2))-(134*x)-205))/((x^4-x^2)+1)^3)))))+(-(-(-(-(((1/6635520)*((9535*x)+294))/((x^2-x)+1)^3)))))+(-(-(-(-(((7/59719680)*((4259*x)+210))/(x^2+x+1)^3)))))+(-(-(-(-(((1/829440)*((74*x)+1))/(x^2+1)^3)))))+(-(-(-(-(((72835631/4.7775744)*E9)/(x+1)^2)))))+(-(-(-(-((((1.6880254657*E10)/4.29981696)*E10)/(x-1)^2)))))+(-(-(-(-(((1/11520)*(((2*x^3)+(2*x^2))-1))/((x^4-x^2)+1)^4)))))+(-(-(-(-(((1/9953280)*((149*x)-139))/(x^2+x+1)^4)))))+(-(-(-(-(((1/1105920)*((47*x)+49))/((x^2-x)+1)^4)))))+(-(-(-(-(9895/7962624/(x+1)^3)))))+(-(-(-(-(17414935/47775744/(x-1)^3)))))+(-(-(-(((1/414720)*x)/(x^2+1)^4))))+(-(-(-(1873/29859840/(x+1)^4))))+(-(-(-(22324517/398131200/(x-1)^4))))+(-(-(-(1/1658880/(x^2+x+1)^5))))+(-(-(1/552960/((x^2-x)+1)^5)))+(-(-(37/19906560/(x+1)^5)))+(-(1/39813120/(x+1)^6))+(-(29083/119439360/(x-1)^6))+(-(73/9953280/(x-1)^7))+(1/9953280/(x-1)^8))))))+(1/(x-1)^2)+(1/(x-1)^6))
A257890 = (((-(11943936/281977))*differential((A001365+(-((-(((1/30)*(((268*x^15)+(268*x^14)+(536*x^13)+(530*x^12)+(524*x^11)+(507*x^10)+(222*x^9)+(194*x^8))-(102*x^7)-(134*x^6)-(434*x^5)-(462*x^4)-(490*x^3)-(507*x^2)-(256*x)-262))/(((x^16+x^14)-x^10-x^8-x^6)+x^2+1)))+(-(-(-(-(-(-(-(((1/48)*(((74*x^15)+(56*x^14)+(38*x^13)+(19*x^12))-(19*x^10)-(38*x^9)-(56*x^8)-(148*x^7)-(145*x^6)-(142*x^5)-(134*x^4)-(126*x^3)-(115*x^2)-(104*x)-89))/((x^16-x^8)+1)))))))))+(-(-(-(-(-(-(-(((1/1152)*(((254*x^7)+(424*x^6)+(594*x^5)+(657*x^4)+(466*x^3)+(287*x^2)+(108*x))-73))/((x^8-x^4)+1)))))))))+(-(-(-(-(-(-(((1/300)*(((24*x^7)+(24*x^6))-(24*x^5)-(92*x^4)-(133*x^3)-(146*x^2)-(109*x)-44))/(((x^8+x^7)-x^5-x^4-x^3)+x+1))))))))+(-(-(-(-(-(-(((1/300)*((((((8*x^7)-(8*x^6)-(8*x^5))+(4*x^4))-(11*x^3))+(2*x^2))-(3*x)-12))/((((((x^8-x^7)+x^5)-x^4)+x^3)-x)+1))))))))+(-(-(-(-(-(-(((1/48)*(((2*x^7)+(2*x^6)+(2*x^5)+x^4)-x^2-(2*x)-2))/(x^8+1))))))))+(-(-(-(-(-(-(((1/30)*(((2*x^7)+(2*x^6)+(2*x^3)+x^2)-(2*x)-2))/((((x^8-x^6)+x^4)-x^2)+1))))))))+(-(-(-(-(-(((1/2488320)*(((442342*x^3)+(151192*x^2))-(582300*x)-464819))/((x^4-x^2)+1)))))))+(-(-(-(-(-(((1/1152)*(((38*x^3)+(19*x^2))-18))/(x^4+1)))))))+(-(-(-(-(-(((1/300)*((3*x^3)-(3*x^2)-4))/((((x^4-x^3)+x^2)-x)+1)))))))+(-(-(-(-(-(((1/300)*(x^3+x^2))/(x^4+x^3+x^2+x+1)))))))+(-(-(-(-(-(((1/5.3747712)*E9*((227167793*x)+227173793))/(x^2+x+1)))))))+(-(-(-(-(-(((1/597196800)*((82976631*x)-67206631))/((x^2-x)+1)))))))+(-(-(-(-(-(((1/1244160)*((19399*x)+949))/(x^2+1)))))))+(-(-(-(-(-(((1/192)*((3*x^6)+(6*x^5)+(8*x^4)+(10*x^3)+(8*x^2)+(6*x)+3))/((x^8-x^4)+1)^2))))))+(-(-(-(-(((1/138240)*(((5278*x^3)+(3023*x^2))-(4510*x)-4606))/((x^4-x^2)+1)^2)))))+(-(-(-(-(((1/1152)*(((2*x^3)+x^2)-1))/(x^4+1)^2)))))+(-(-(-(-(((1/358318080)*((2373000*x)+1275947))/(x^2+x+1)^2)))))+(-(-(-(-(((1/119439360)*((2363400*x)-1035091))/((x^2-x)+1)^2)))))+(-(-(-(-(((1/2488320)*((3796*x)+111))/(x^2+1)^2)))))+(-(-(-(-(42227063/398131200/(x+1))))))+(-(-(-(-((((1.08429218867*E11)/1.07495424)*E10)/(x-1))))))+(-(-(-(-(((1/69120)*(((288*x^3)+(221*x^2))-(134*x)-205))/((x^4-x^2)+1)^3)))))+(-(-(-(-(((1/6635520)*((9535*x)+294))/((x^2-x)+1)^3)))))+(-(-(-(-(((7/59719680)*((4259*x)+210))/(x^2+x+1)^3)))))+(-(-(-(-(((1/829440)*((74*x)+1))/(x^2+1)^3)))))+(-(-(-(-(((72835631/4.7775744)*E9)/(x+1)^2)))))+(-(-(-(-((((1.6880254657*E10)/4.29981696)*E10)/(x-1)^2)))))+(-(-(-(-(((1/11520)*(((2*x^3)+(2*x^2))-1))/((x^4-x^2)+1)^4)))))+(-(-(-(-(((1/9953280)*((149*x)-139))/(x^2+x+1)^4)))))+(-(-(-(-(((1/1105920)*((47*x)+49))/((x^2-x)+1)^4)))))+(-(-(-(-(9895/7962624/(x+1)^3)))))+(-(-(-(-(17414935/47775744/(x-1)^3)))))+(-(-(-(((1/414720)*x)/(x^2+1)^4))))+(-(-(-(1873/29859840/(x+1)^4))))+(-(-(-(22324517/398131200/(x-1)^4))))+(-(-(-(1/1658880/(x^2+x+1)^5))))+(-(-(1/552960/((x^2-x)+1)^5)))+(-(-(37/19906560/(x+1)^5)))+(-(1/39813120/(x+1)^6))+(-(29083/119439360/(x-1)^6))+(-(73/9953280/(x-1)^7))+(1/9953280/(x-1)^8))))))+(1/(x-1)^2)+(1/(x-1)^4))
A257890 = (((-(119439360/29083))*(A001365+(-((-(((1/30)*(((268*x^15)+(268*x^14)+(536*x^13)+(530*x^12)+(524*x^11)+(507*x^10)+(222*x^9)+(194*x^8))-(102*x^7)-(134*x^6)-(434*x^5)-(462*x^4)-(490*x^3)-(507*x^2)-(256*x)-262))/(((x^16+x^14)-x^10-x^8-x^6)+x^2+1)))+(-(-(-(-(-(-(-(((1/48)*(((74*x^15)+(56*x^14)+(38*x^13)+(19*x^12))-(19*x^10)-(38*x^9)-(56*x^8)-(148*x^7)-(145*x^6)-(142*x^5)-(134*x^4)-(126*x^3)-(115*x^2)-(104*x)-89))/((x^16-x^8)+1)))))))))+(-(-(-(-(-(-(-(((1/1152)*(((254*x^7)+(424*x^6)+(594*x^5)+(657*x^4)+(466*x^3)+(287*x^2)+(108*x))-73))/((x^8-x^4)+1)))))))))+(-(-(-(-(-(-(((1/300)*(((24*x^7)+(24*x^6))-(24*x^5)-(92*x^4)-(133*x^3)-(146*x^2)-(109*x)-44))/(((x^8+x^7)-x^5-x^4-x^3)+x+1))))))))+(-(-(-(-(-(-(((1/300)*((((((8*x^7)-(8*x^6)-(8*x^5))+(4*x^4))-(11*x^3))+(2*x^2))-(3*x)-12))/((((((x^8-x^7)+x^5)-x^4)+x^3)-x)+1))))))))+(-(-(-(-(-(-(((1/48)*(((2*x^7)+(2*x^6)+(2*x^5)+x^4)-x^2-(2*x)-2))/(x^8+1))))))))+(-(-(-(-(-(-(((1/30)*(((2*x^7)+(2*x^6)+(2*x^3)+x^2)-(2*x)-2))/((((x^8-x^6)+x^4)-x^2)+1))))))))+(-(-(-(-(-(((1/2488320)*(((442342*x^3)+(151192*x^2))-(582300*x)-464819))/((x^4-x^2)+1)))))))+(-(-(-(-(-(((1/1152)*(((38*x^3)+(19*x^2))-18))/(x^4+1)))))))+(-(-(-(-(-(((1/300)*((3*x^3)-(3*x^2)-4))/((((x^4-x^3)+x^2)-x)+1)))))))+(-(-(-(-(-(((1/300)*(x^3+x^2))/(x^4+x^3+x^2+x+1)))))))+(-(-(-(-(-(((1/5.3747712)*E9*((227167793*x)+227173793))/(x^2+x+1)))))))+(-(-(-(-(-(((1/597196800)*((82976631*x)-67206631))/((x^2-x)+1)))))))+(-(-(-(-(-(((1/1244160)*((19399*x)+949))/(x^2+1)))))))+(-(-(-(-(-(((1/192)*((3*x^6)+(6*x^5)+(8*x^4)+(10*x^3)+(8*x^2)+(6*x)+3))/((x^8-x^4)+1)^2))))))+(-(-(-(-(((1/138240)*(((5278*x^3)+(3023*x^2))-(4510*x)-4606))/((x^4-x^2)+1)^2)))))+(-(-(-(-(((1/1152)*(((2*x^3)+x^2)-1))/(x^4+1)^2)))))+(-(-(-(-(((1/358318080)*((2373000*x)+1275947))/(x^2+x+1)^2)))))+(-(-(-(-(((1/119439360)*((2363400*x)-1035091))/((x^2-x)+1)^2)))))+(-(-(-(-(((1/2488320)*((3796*x)+111))/(x^2+1)^2)))))+(-(-(-(-(42227063/398131200/(x+1))))))+(-(-(-(-((((1.08429218867*E11)/1.07495424)*E10)/(x-1))))))+(-(-(-(-(((1/69120)*(((288*x^3)+(221*x^2))-(134*x)-205))/((x^4-x^2)+1)^3)))))+(-(-(-(-(((1/6635520)*((9535*x)+294))/((x^2-x)+1)^3)))))+(-(-(-(-(((7/59719680)*((4259*x)+210))/(x^2+x+1)^3)))))+(-(-(-(-(((1/829440)*((74*x)+1))/(x^2+1)^3)))))+(-(-(-(-(((72835631/4.7775744)*E9)/(x+1)^2)))))+(-(-(-(-((((1.6880254657*E10)/4.29981696)*E10)/(x-1)^2)))))+(-(-(-(-(((1/11520)*(((2*x^3)+(2*x^2))-1))/((x^4-x^2)+1)^4)))))+(-(-(-(-(((1/9953280)*((149*x)-139))/(x^2+x+1)^4)))))+(-(-(-(-(((1/1105920)*((47*x)+49))/((x^2-x)+1)^4)))))+(-(-(-(-(9895/7962624/(x+1)^3)))))+(-(-(-(-(17414935/47775744/(x-1)^3)))))+(-(-(-(((1/414720)*x)/(x^2+1)^4))))+(-(-(-(1873/29859840/(x+1)^4))))+(-(-(-(22324517/398131200/(x-1)^4))))+(-(-(-(1/1658880/(x^2+x+1)^5))))+(-(-(1/552960/((x^2-x)+1)^5)))+(-(-(37/19906560/(x+1)^5)))+(-(-(281977/59719680/(x-1)^5)))+(-(1/39813120/(x+1)^6))+(-(73/9953280/(x-1)^7))+(1/9953280/(x-1)^8)))))+(1/(x-1)^2)+(1/(x-1)^4))
A257464 = (((-(298598400/29083))*integrate((A001365+(-((-(((1/30)*(((268*x^15)+(268*x^14)+(536*x^13)+(530*x^12)+(524*x^11)+(507*x^10)+(222*x^9)+(194*x^8))-(102*x^7)-(134*x^6)-(434*x^5)-(462*x^4)-(490*x^3)-(507*x^2)-(256*x)-262))/(((x^16+x^14)-x^10-x^8-x^6)+x^2+1)))+(-(-(-(-(-(-(-(((1/48)*(((74*x^15)+(56*x^14)+(38*x^13)+(19*x^12))-(19*x^10)-(38*x^9)-(56*x^8)-(148*x^7)-(145*x^6)-(142*x^5)-(134*x^4)-(126*x^3)-(115*x^2)-(104*x)-89))/((x^16-x^8)+1)))))))))+(-(-(-(-(-(-(-(((1/1152)*(((254*x^7)+(424*x^6)+(594*x^5)+(657*x^4)+(466*x^3)+(287*x^2)+(108*x))-73))/((x^8-x^4)+1)))))))))+(-(-(-(-(-(-(((1/300)*(((24*x^7)+(24*x^6))-(24*x^5)-(92*x^4)-(133*x^3)-(146*x^2)-(109*x)-44))/(((x^8+x^7)-x^5-x^4-x^3)+x+1))))))))+(-(-(-(-(-(-(((1/300)*((((((8*x^7)-(8*x^6)-(8*x^5))+(4*x^4))-(11*x^3))+(2*x^2))-(3*x)-12))/((((((x^8-x^7)+x^5)-x^4)+x^3)-x)+1))))))))+(-(-(-(-(-(-(((1/48)*(((2*x^7)+(2*x^6)+(2*x^5)+x^4)-x^2-(2*x)-2))/(x^8+1))))))))+(-(-(-(-(-(-(((1/30)*(((2*x^7)+(2*x^6)+(2*x^3)+x^2)-(2*x)-2))/((((x^8-x^6)+x^4)-x^2)+1))))))))+(-(-(-(-(-(((1/2488320)*(((442342*x^3)+(151192*x^2))-(582300*x)-464819))/((x^4-x^2)+1)))))))+(-(-(-(-(-(((1/1152)*(((38*x^3)+(19*x^2))-18))/(x^4+1)))))))+(-(-(-(-(-(((1/300)*((3*x^3)-(3*x^2)-4))/((((x^4-x^3)+x^2)-x)+1)))))))+(-(-(-(-(-(((1/300)*(x^3+x^2))/(x^4+x^3+x^2+x+1)))))))+(-(-(-(-(-(((1/5.3747712)*E9*((227167793*x)+227173793))/(x^2+x+1)))))))+(-(-(-(-(-(((1/597196800)*((82976631*x)-67206631))/((x^2-x)+1)))))))+(-(-(-(-(-(((1/1244160)*((19399*x)+949))/(x^2+1)))))))+(-(-(-(-(-(((1/192)*((3*x^6)+(6*x^5)+(8*x^4)+(10*x^3)+(8*x^2)+(6*x)+3))/((x^8-x^4)+1)^2))))))+(-(-(-(-(((1/138240)*(((5278*x^3)+(3023*x^2))-(4510*x)-4606))/((x^4-x^2)+1)^2)))))+(-(-(-(-(((1/1152)*(((2*x^3)+x^2)-1))/(x^4+1)^2)))))+(-(-(-(-(((1/358318080)*((2373000*x)+1275947))/(x^2+x+1)^2)))))+(-(-(-(-(((1/119439360)*((2363400*x)-1035091))/((x^2-x)+1)^2)))))+(-(-(-(-(((1/2488320)*((3796*x)+111))/(x^2+1)^2)))))+(-(-(-(-(42227063/398131200/(x+1))))))+(-(-(-(-((((1.08429218867*E11)/1.07495424)*E10)/(x-1))))))+(-(-(-(-(((1/69120)*(((288*x^3)+(221*x^2))-(134*x)-205))/((x^4-x^2)+1)^3)))))+(-(-(-(-(((1/6635520)*((9535*x)+294))/((x^2-x)+1)^3)))))+(-(-(-(-(((7/59719680)*((4259*x)+210))/(x^2+x+1)^3)))))+(-(-(-(-(((1/829440)*((74*x)+1))/(x^2+1)^3)))))+(-(-(-(-(((72835631/4.7775744)*E9)/(x+1)^2)))))+(-(-(-(-((((1.6880254657*E10)/4.29981696)*E10)/(x-1)^2)))))+(-(-(-(-(((1/11520)*(((2*x^3)+(2*x^2))-1))/((x^4-x^2)+1)^4)))))+(-(-(-(-(((1/9953280)*((149*x)-139))/(x^2+x+1)^4)))))+(-(-(-(-(((1/1105920)*((47*x)+49))/((x^2-x)+1)^4)))))+(-(-(-(-(9895/7962624/(x+1)^3)))))+(-(-(-(-(17414935/47775744/(x-1)^3)))))+(-(-(-(((1/414720)*x)/(x^2+1)^4))))+(-(-(-(1873/29859840/(x+1)^4))))+(-(-(-(22324517/398131200/(x-1)^4))))+(-(-(-(1/1658880/(x^2+x+1)^5))))+(-(-(1/552960/((x^2-x)+1)^5)))+(-(-(37/19906560/(x+1)^5)))+(-(-(281977/59719680/(x-1)^5)))+(-(1/39813120/(x+1)^6))+(-(73/9953280/(x-1)^7))+(1/9953280/(x-1)^8))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(7/24/(x-1)^3))+(-(1/2/(x-1)^4)))
A257201 = (((39813120/29083)*differential((A001365+(-((-(((1/30)*(((268*x^15)+(268*x^14)+(536*x^13)+(530*x^12)+(524*x^11)+(507*x^10)+(222*x^9)+(194*x^8))-(102*x^7)-(134*x^6)-(434*x^5)-(462*x^4)-(490*x^3)-(507*x^2)-(256*x)-262))/(((x^16+x^14)-x^10-x^8-x^6)+x^2+1)))+(-(-(-(-(-(-(-(((1/48)*(((74*x^15)+(56*x^14)+(38*x^13)+(19*x^12))-(19*x^10)-(38*x^9)-(56*x^8)-(148*x^7)-(145*x^6)-(142*x^5)-(134*x^4)-(126*x^3)-(115*x^2)-(104*x)-89))/((x^16-x^8)+1)))))))))+(-(-(-(-(-(-(-(((1/1152)*(((254*x^7)+(424*x^6)+(594*x^5)+(657*x^4)+(466*x^3)+(287*x^2)+(108*x))-73))/((x^8-x^4)+1)))))))))+(-(-(-(-(-(-(((1/300)*(((24*x^7)+(24*x^6))-(24*x^5)-(92*x^4)-(133*x^3)-(146*x^2)-(109*x)-44))/(((x^8+x^7)-x^5-x^4-x^3)+x+1))))))))+(-(-(-(-(-(-(((1/300)*((((((8*x^7)-(8*x^6)-(8*x^5))+(4*x^4))-(11*x^3))+(2*x^2))-(3*x)-12))/((((((x^8-x^7)+x^5)-x^4)+x^3)-x)+1))))))))+(-(-(-(-(-(-(((1/48)*(((2*x^7)+(2*x^6)+(2*x^5)+x^4)-x^2-(2*x)-2))/(x^8+1))))))))+(-(-(-(-(-(-(((1/30)*(((2*x^7)+(2*x^6)+(2*x^3)+x^2)-(2*x)-2))/((((x^8-x^6)+x^4)-x^2)+1))))))))+(-(-(-(-(-(((1/2488320)*(((442342*x^3)+(151192*x^2))-(582300*x)-464819))/((x^4-x^2)+1)))))))+(-(-(-(-(-(((1/1152)*(((38*x^3)+(19*x^2))-18))/(x^4+1)))))))+(-(-(-(-(-(((1/300)*((3*x^3)-(3*x^2)-4))/((((x^4-x^3)+x^2)-x)+1)))))))+(-(-(-(-(-(((1/300)*(x^3+x^2))/(x^4+x^3+x^2+x+1)))))))+(-(-(-(-(-(((1/5.3747712)*E9*((227167793*x)+227173793))/(x^2+x+1)))))))+(-(-(-(-(-(((1/597196800)*((82976631*x)-67206631))/((x^2-x)+1)))))))+(-(-(-(-(-(((1/1244160)*((19399*x)+949))/(x^2+1)))))))+(-(-(-(-(-(((1/192)*((3*x^6)+(6*x^5)+(8*x^4)+(10*x^3)+(8*x^2)+(6*x)+3))/((x^8-x^4)+1)^2))))))+(-(-(-(-(((1/138240)*(((5278*x^3)+(3023*x^2))-(4510*x)-4606))/((x^4-x^2)+1)^2)))))+(-(-(-(-(((1/1152)*(((2*x^3)+x^2)-1))/(x^4+1)^2)))))+(-(-(-(-(((1/358318080)*((2373000*x)+1275947))/(x^2+x+1)^2)))))+(-(-(-(-(((1/119439360)*((2363400*x)-1035091))/((x^2-x)+1)^2)))))+(-(-(-(-(((1/2488320)*((3796*x)+111))/(x^2+1)^2)))))+(-(-(-(-(42227063/398131200/(x+1))))))+(-(-(-(-((((1.08429218867*E11)/1.07495424)*E10)/(x-1))))))+(-(-(-(-(((1/69120)*(((288*x^3)+(221*x^2))-(134*x)-205))/((x^4-x^2)+1)^3)))))+(-(-(-(-(((1/6635520)*((9535*x)+294))/((x^2-x)+1)^3)))))+(-(-(-(-(((7/59719680)*((4259*x)+210))/(x^2+x+1)^3)))))+(-(-(-(-(((1/829440)*((74*x)+1))/(x^2+1)^3)))))+(-(-(-(-(((72835631/4.7775744)*E9)/(x+1)^2)))))+(-(-(-(-((((1.6880254657*E10)/4.29981696)*E10)/(x-1)^2)))))+(-(-(-(-(((1/11520)*(((2*x^3)+(2*x^2))-1))/((x^4-x^2)+1)^4)))))+(-(-(-(-(((1/9953280)*((149*x)-139))/(x^2+x+1)^4)))))+(-(-(-(-(((1/1105920)*((47*x)+49))/((x^2-x)+1)^4)))))+(-(-(-(-(9895/7962624/(x+1)^3)))))+(-(-(-(-(17414935/47775744/(x-1)^3)))))+(-(-(-(((1/414720)*x)/(x^2+1)^4))))+(-(-(-(1873/29859840/(x+1)^4))))+(-(-(-(22324517/398131200/(x-1)^4))))+(-(-(-(1/1658880/(x^2+x+1)^5))))+(-(-(1/552960/((x^2-x)+1)^5)))+(-(-(37/19906560/(x+1)^5)))+(-(-(281977/59719680/(x-1)^5)))+(-(1/39813120/(x+1)^6))+(-(73/9953280/(x-1)^7))+(1/9953280/(x-1)^8))))))+(1/(x-1)^5)+(2/(x-1)^6)+(1/(x-1)^8))
A257201 = (((-(19906560/73))*(A001365+(-((-(((1/30)*(((268*x^15)+(268*x^14)+(536*x^13)+(530*x^12)+(524*x^11)+(507*x^10)+(222*x^9)+(194*x^8))-(102*x^7)-(134*x^6)-(434*x^5)-(462*x^4)-(490*x^3)-(507*x^2)-(256*x)-262))/(((x^16+x^14)-x^10-x^8-x^6)+x^2+1)))+(-(-(-(-(-(-(-(((1/48)*(((74*x^15)+(56*x^14)+(38*x^13)+(19*x^12))-(19*x^10)-(38*x^9)-(56*x^8)-(148*x^7)-(145*x^6)-(142*x^5)-(134*x^4)-(126*x^3)-(115*x^2)-(104*x)-89))/((x^16-x^8)+1)))))))))+(-(-(-(-(-(-(-(((1/1152)*(((254*x^7)+(424*x^6)+(594*x^5)+(657*x^4)+(466*x^3)+(287*x^2)+(108*x))-73))/((x^8-x^4)+1)))))))))+(-(-(-(-(-(-(((1/300)*(((24*x^7)+(24*x^6))-(24*x^5)-(92*x^4)-(133*x^3)-(146*x^2)-(109*x)-44))/(((x^8+x^7)-x^5-x^4-x^3)+x+1))))))))+(-(-(-(-(-(-(((1/300)*((((((8*x^7)-(8*x^6)-(8*x^5))+(4*x^4))-(11*x^3))+(2*x^2))-(3*x)-12))/((((((x^8-x^7)+x^5)-x^4)+x^3)-x)+1))))))))+(-(-(-(-(-(-(((1/48)*(((2*x^7)+(2*x^6)+(2*x^5)+x^4)-x^2-(2*x)-2))/(x^8+1))))))))+(-(-(-(-(-(-(((1/30)*(((2*x^7)+(2*x^6)+(2*x^3)+x^2)-(2*x)-2))/((((x^8-x^6)+x^4)-x^2)+1))))))))+(-(-(-(-(-(((1/2488320)*(((442342*x^3)+(151192*x^2))-(582300*x)-464819))/((x^4-x^2)+1)))))))+(-(-(-(-(-(((1/1152)*(((38*x^3)+(19*x^2))-18))/(x^4+1)))))))+(-(-(-(-(-(((1/300)*((3*x^3)-(3*x^2)-4))/((((x^4-x^3)+x^2)-x)+1)))))))+(-(-(-(-(-(((1/300)*(x^3+x^2))/(x^4+x^3+x^2+x+1)))))))+(-(-(-(-(-(((1/5.3747712)*E9*((227167793*x)+227173793))/(x^2+x+1)))))))+(-(-(-(-(-(((1/597196800)*((82976631*x)-67206631))/((x^2-x)+1)))))))+(-(-(-(-(-(((1/1244160)*((19399*x)+949))/(x^2+1)))))))+(-(-(-(-(-(((1/192)*((3*x^6)+(6*x^5)+(8*x^4)+(10*x^3)+(8*x^2)+(6*x)+3))/((x^8-x^4)+1)^2))))))+(-(-(-(-(((1/138240)*(((5278*x^3)+(3023*x^2))-(4510*x)-4606))/((x^4-x^2)+1)^2)))))+(-(-(-(-(((1/1152)*(((2*x^3)+x^2)-1))/(x^4+1)^2)))))+(-(-(-(-(((1/358318080)*((2373000*x)+1275947))/(x^2+x+1)^2)))))+(-(-(-(-(((1/119439360)*((2363400*x)-1035091))/((x^2-x)+1)^2)))))+(-(-(-(-(((1/2488320)*((3796*x)+111))/(x^2+1)^2)))))+(-(-(-(-(42227063/398131200/(x+1))))))+(-(-(-(-((((1.08429218867*E11)/1.07495424)*E10)/(x-1))))))+(-(-(-(-(((1/69120)*(((288*x^3)+(221*x^2))-(134*x)-205))/((x^4-x^2)+1)^3)))))+(-(-(-(-(((1/6635520)*((9535*x)+294))/((x^2-x)+1)^3)))))+(-(-(-(-(((7/59719680)*((4259*x)+210))/(x^2+x+1)^3)))))+(-(-(-(-(((1/829440)*((74*x)+1))/(x^2+1)^3)))))+(-(-(-(-(((72835631/4.7775744)*E9)/(x+1)^2)))))+(-(-(-(-((((1.6880254657*E10)/4.29981696)*E10)/(x-1)^2)))))+(-(-(-(-(((1/11520)*(((2*x^3)+(2*x^2))-1))/((x^4-x^2)+1)^4)))))+(-(-(-(-(((1/9953280)*((149*x)-139))/(x^2+x+1)^4)))))+(-(-(-(-(((1/1105920)*((47*x)+49))/((x^2-x)+1)^4)))))+(-(-(-(-(9895/7962624/(x+1)^3)))))+(-(-(-(-(17414935/47775744/(x-1)^3)))))+(-(-(-(((1/414720)*x)/(x^2+1)^4))))+(-(-(-(1873/29859840/(x+1)^4))))+(-(-(-(22324517/398131200/(x-1)^4))))+(-(-(-(1/1658880/(x^2+x+1)^5))))+(-(-(1/552960/((x^2-x)+1)^5)))+(-(-(37/19906560/(x+1)^5)))+(-(-(281977/59719680/(x-1)^5)))+(-(1/39813120/(x+1)^6))+(-(29083/119439360/(x-1)^6))+(1/9953280/(x-1)^8)))))+(1/(x-1)^5)+(2/(x-1)^6)+(1/(x-1)^8))
A257890 = (((59719680/73)*integrate((A001365+(-((-(((1/30)*(((268*x^15)+(268*x^14)+(536*x^13)+(530*x^12)+(524*x^11)+(507*x^10)+(222*x^9)+(194*x^8))-(102*x^7)-(134*x^6)-(434*x^5)-(462*x^4)-(490*x^3)-(507*x^2)-(256*x)-262))/(((x^16+x^14)-x^10-x^8-x^6)+x^2+1)))+(-(-(-(-(-(-(-(((1/48)*(((74*x^15)+(56*x^14)+(38*x^13)+(19*x^12))-(19*x^10)-(38*x^9)-(56*x^8)-(148*x^7)-(145*x^6)-(142*x^5)-(134*x^4)-(126*x^3)-(115*x^2)-(104*x)-89))/((x^16-x^8)+1)))))))))+(-(-(-(-(-(-(-(((1/1152)*(((254*x^7)+(424*x^6)+(594*x^5)+(657*x^4)+(466*x^3)+(287*x^2)+(108*x))-73))/((x^8-x^4)+1)))))))))+(-(-(-(-(-(-(((1/300)*(((24*x^7)+(24*x^6))-(24*x^5)-(92*x^4)-(133*x^3)-(146*x^2)-(109*x)-44))/(((x^8+x^7)-x^5-x^4-x^3)+x+1))))))))+(-(-(-(-(-(-(((1/300)*((((((8*x^7)-(8*x^6)-(8*x^5))+(4*x^4))-(11*x^3))+(2*x^2))-(3*x)-12))/((((((x^8-x^7)+x^5)-x^4)+x^3)-x)+1))))))))+(-(-(-(-(-(-(((1/48)*(((2*x^7)+(2*x^6)+(2*x^5)+x^4)-x^2-(2*x)-2))/(x^8+1))))))))+(-(-(-(-(-(-(((1/30)*(((2*x^7)+(2*x^6)+(2*x^3)+x^2)-(2*x)-2))/((((x^8-x^6)+x^4)-x^2)+1))))))))+(-(-(-(-(-(((1/2488320)*(((442342*x^3)+(151192*x^2))-(582300*x)-464819))/((x^4-x^2)+1)))))))+(-(-(-(-(-(((1/1152)*(((38*x^3)+(19*x^2))-18))/(x^4+1)))))))+(-(-(-(-(-(((1/300)*((3*x^3)-(3*x^2)-4))/((((x^4-x^3)+x^2)-x)+1)))))))+(-(-(-(-(-(((1/300)*(x^3+x^2))/(x^4+x^3+x^2+x+1)))))))+(-(-(-(-(-(((1/5.3747712)*E9*((227167793*x)+227173793))/(x^2+x+1)))))))+(-(-(-(-(-(((1/597196800)*((82976631*x)-67206631))/((x^2-x)+1)))))))+(-(-(-(-(-(((1/1244160)*((19399*x)+949))/(x^2+1)))))))+(-(-(-(-(-(((1/192)*((3*x^6)+(6*x^5)+(8*x^4)+(10*x^3)+(8*x^2)+(6*x)+3))/((x^8-x^4)+1)^2))))))+(-(-(-(-(((1/138240)*(((5278*x^3)+(3023*x^2))-(4510*x)-4606))/((x^4-x^2)+1)^2)))))+(-(-(-(-(((1/1152)*(((2*x^3)+x^2)-1))/(x^4+1)^2)))))+(-(-(-(-(((1/358318080)*((2373000*x)+1275947))/(x^2+x+1)^2)))))+(-(-(-(-(((1/119439360)*((2363400*x)-1035091))/((x^2-x)+1)^2)))))+(-(-(-(-(((1/2488320)*((3796*x)+111))/(x^2+1)^2)))))+(-(-(-(-(42227063/398131200/(x+1))))))+(-(-(-(-((((1.08429218867*E11)/1.07495424)*E10)/(x-1))))))+(-(-(-(-(((1/69120)*(((288*x^3)+(221*x^2))-(134*x)-205))/((x^4-x^2)+1)^3)))))+(-(-(-(-(((1/6635520)*((9535*x)+294))/((x^2-x)+1)^3)))))+(-(-(-(-(((7/59719680)*((4259*x)+210))/(x^2+x+1)^3)))))+(-(-(-(-(((1/829440)*((74*x)+1))/(x^2+1)^3)))))+(-(-(-(-(((72835631/4.7775744)*E9)/(x+1)^2)))))+(-(-(-(-((((1.6880254657*E10)/4.29981696)*E10)/(x-1)^2)))))+(-(-(-(-(((1/11520)*(((2*x^3)+(2*x^2))-1))/((x^4-x^2)+1)^4)))))+(-(-(-(-(((1/9953280)*((149*x)-139))/(x^2+x+1)^4)))))+(-(-(-(-(((1/1105920)*((47*x)+49))/((x^2-x)+1)^4)))))+(-(-(-(-(9895/7962624/(x+1)^3)))))+(-(-(-(-(17414935/47775744/(x-1)^3)))))+(-(-(-(((1/414720)*x)/(x^2+1)^4))))+(-(-(-(1873/29859840/(x+1)^4))))+(-(-(-(22324517/398131200/(x-1)^4))))+(-(-(-(1/1658880/(x^2+x+1)^5))))+(-(-(1/552960/((x^2-x)+1)^5)))+(-(-(37/19906560/(x+1)^5)))+(-(-(281977/59719680/(x-1)^5)))+(-(1/39813120/(x+1)^6))+(-(29083/119439360/(x-1)^6))+(1/9953280/(x-1)^8))))))+(1/(x-1)^2)+(1/(x-1)^4))
A257201 = (((9953280/511)*differential((A001365+(-((-(((1/30)*(((268*x^15)+(268*x^14)+(536*x^13)+(530*x^12)+(524*x^11)+(507*x^10)+(222*x^9)+(194*x^8))-(102*x^7)-(134*x^6)-(434*x^5)-(462*x^4)-(490*x^3)-(507*x^2)-(256*x)-262))/(((x^16+x^14)-x^10-x^8-x^6)+x^2+1)))+(-(-(-(-(-(-(-(((1/48)*(((74*x^15)+(56*x^14)+(38*x^13)+(19*x^12))-(19*x^10)-(38*x^9)-(56*x^8)-(148*x^7)-(145*x^6)-(142*x^5)-(134*x^4)-(126*x^3)-(115*x^2)-(104*x)-89))/((x^16-x^8)+1)))))))))+(-(-(-(-(-(-(-(((1/1152)*(((254*x^7)+(424*x^6)+(594*x^5)+(657*x^4)+(466*x^3)+(287*x^2)+(108*x))-73))/((x^8-x^4)+1)))))))))+(-(-(-(-(-(-(((1/300)*(((24*x^7)+(24*x^6))-(24*x^5)-(92*x^4)-(133*x^3)-(146*x^2)-(109*x)-44))/(((x^8+x^7)-x^5-x^4-x^3)+x+1))))))))+(-(-(-(-(-(-(((1/300)*((((((8*x^7)-(8*x^6)-(8*x^5))+(4*x^4))-(11*x^3))+(2*x^2))-(3*x)-12))/((((((x^8-x^7)+x^5)-x^4)+x^3)-x)+1))))))))+(-(-(-(-(-(-(((1/48)*(((2*x^7)+(2*x^6)+(2*x^5)+x^4)-x^2-(2*x)-2))/(x^8+1))))))))+(-(-(-(-(-(-(((1/30)*(((2*x^7)+(2*x^6)+(2*x^3)+x^2)-(2*x)-2))/((((x^8-x^6)+x^4)-x^2)+1))))))))+(-(-(-(-(-(((1/2488320)*(((442342*x^3)+(151192*x^2))-(582300*x)-464819))/((x^4-x^2)+1)))))))+(-(-(-(-(-(((1/1152)*(((38*x^3)+(19*x^2))-18))/(x^4+1)))))))+(-(-(-(-(-(((1/300)*((3*x^3)-(3*x^2)-4))/((((x^4-x^3)+x^2)-x)+1)))))))+(-(-(-(-(-(((1/300)*(x^3+x^2))/(x^4+x^3+x^2+x+1)))))))+(-(-(-(-(-(((1/5.3747712)*E9*((227167793*x)+227173793))/(x^2+x+1)))))))+(-(-(-(-(-(((1/597196800)*((82976631*x)-67206631))/((x^2-x)+1)))))))+(-(-(-(-(-(((1/1244160)*((19399*x)+949))/(x^2+1)))))))+(-(-(-(-(-(((1/192)*((3*x^6)+(6*x^5)+(8*x^4)+(10*x^3)+(8*x^2)+(6*x)+3))/((x^8-x^4)+1)^2))))))+(-(-(-(-(((1/138240)*(((5278*x^3)+(3023*x^2))-(4510*x)-4606))/((x^4-x^2)+1)^2)))))+(-(-(-(-(((1/1152)*(((2*x^3)+x^2)-1))/(x^4+1)^2)))))+(-(-(-(-(((1/358318080)*((2373000*x)+1275947))/(x^2+x+1)^2)))))+(-(-(-(-(((1/119439360)*((2363400*x)-1035091))/((x^2-x)+1)^2)))))+(-(-(-(-(((1/2488320)*((3796*x)+111))/(x^2+1)^2)))))+(-(-(-(-(42227063/398131200/(x+1))))))+(-(-(-(-((((1.08429218867*E11)/1.07495424)*E10)/(x-1))))))+(-(-(-(-(((1/69120)*(((288*x^3)+(221*x^2))-(134*x)-205))/((x^4-x^2)+1)^3)))))+(-(-(-(-(((1/6635520)*((9535*x)+294))/((x^2-x)+1)^3)))))+(-(-(-(-(((7/59719680)*((4259*x)+210))/(x^2+x+1)^3)))))+(-(-(-(-(((1/829440)*((74*x)+1))/(x^2+1)^3)))))+(-(-(-(-(((72835631/4.7775744)*E9)/(x+1)^2)))))+(-(-(-(-((((1.6880254657*E10)/4.29981696)*E10)/(x-1)^2)))))+(-(-(-(-(((1/11520)*(((2*x^3)+(2*x^2))-1))/((x^4-x^2)+1)^4)))))+(-(-(-(-(((1/9953280)*((149*x)-139))/(x^2+x+1)^4)))))+(-(-(-(-(((1/1105920)*((47*x)+49))/((x^2-x)+1)^4)))))+(-(-(-(-(9895/7962624/(x+1)^3)))))+(-(-(-(-(17414935/47775744/(x-1)^3)))))+(-(-(-(((1/414720)*x)/(x^2+1)^4))))+(-(-(-(1873/29859840/(x+1)^4))))+(-(-(-(22324517/398131200/(x-1)^4))))+(-(-(-(1/1658880/(x^2+x+1)^5))))+(-(-(1/552960/((x^2-x)+1)^5)))+(-(-(37/19906560/(x+1)^5)))+(-(-(281977/59719680/(x-1)^5)))+(-(1/39813120/(x+1)^6))+(-(29083/119439360/(x-1)^6))+(1/9953280/(x-1)^8))))))+(1/(x-1)^5)+(2/(x-1)^6)+(2/(x-1)^7))
A257201 = ((9953280*(A001365+(-((-(((1/30)*(((268*x^15)+(268*x^14)+(536*x^13)+(530*x^12)+(524*x^11)+(507*x^10)+(222*x^9)+(194*x^8))-(102*x^7)-(134*x^6)-(434*x^5)-(462*x^4)-(490*x^3)-(507*x^2)-(256*x)-262))/(((x^16+x^14)-x^10-x^8-x^6)+x^2+1)))+(-(-(-(-(-(-(-(((1/48)*(((74*x^15)+(56*x^14)+(38*x^13)+(19*x^12))-(19*x^10)-(38*x^9)-(56*x^8)-(148*x^7)-(145*x^6)-(142*x^5)-(134*x^4)-(126*x^3)-(115*x^2)-(104*x)-89))/((x^16-x^8)+1)))))))))+(-(-(-(-(-(-(-(((1/1152)*(((254*x^7)+(424*x^6)+(594*x^5)+(657*x^4)+(466*x^3)+(287*x^2)+(108*x))-73))/((x^8-x^4)+1)))))))))+(-(-(-(-(-(-(((1/300)*(((24*x^7)+(24*x^6))-(24*x^5)-(92*x^4)-(133*x^3)-(146*x^2)-(109*x)-44))/(((x^8+x^7)-x^5-x^4-x^3)+x+1))))))))+(-(-(-(-(-(-(((1/300)*((((((8*x^7)-(8*x^6)-(8*x^5))+(4*x^4))-(11*x^3))+(2*x^2))-(3*x)-12))/((((((x^8-x^7)+x^5)-x^4)+x^3)-x)+1))))))))+(-(-(-(-(-(-(((1/48)*(((2*x^7)+(2*x^6)+(2*x^5)+x^4)-x^2-(2*x)-2))/(x^8+1))))))))+(-(-(-(-(-(-(((1/30)*(((2*x^7)+(2*x^6)+(2*x^3)+x^2)-(2*x)-2))/((((x^8-x^6)+x^4)-x^2)+1))))))))+(-(-(-(-(-(((1/2488320)*(((442342*x^3)+(151192*x^2))-(582300*x)-464819))/((x^4-x^2)+1)))))))+(-(-(-(-(-(((1/1152)*(((38*x^3)+(19*x^2))-18))/(x^4+1)))))))+(-(-(-(-(-(((1/300)*((3*x^3)-(3*x^2)-4))/((((x^4-x^3)+x^2)-x)+1)))))))+(-(-(-(-(-(((1/300)*(x^3+x^2))/(x^4+x^3+x^2+x+1)))))))+(-(-(-(-(-(((1/5.3747712)*E9*((227167793*x)+227173793))/(x^2+x+1)))))))+(-(-(-(-(-(((1/597196800)*((82976631*x)-67206631))/((x^2-x)+1)))))))+(-(-(-(-(-(((1/1244160)*((19399*x)+949))/(x^2+1)))))))+(-(-(-(-(-(((1/192)*((3*x^6)+(6*x^5)+(8*x^4)+(10*x^3)+(8*x^2)+(6*x)+3))/((x^8-x^4)+1)^2))))))+(-(-(-(-(((1/138240)*(((5278*x^3)+(3023*x^2))-(4510*x)-4606))/((x^4-x^2)+1)^2)))))+(-(-(-(-(((1/1152)*(((2*x^3)+x^2)-1))/(x^4+1)^2)))))+(-(-(-(-(((1/358318080)*((2373000*x)+1275947))/(x^2+x+1)^2)))))+(-(-(-(-(((1/119439360)*((2363400*x)-1035091))/((x^2-x)+1)^2)))))+(-(-(-(-(((1/2488320)*((3796*x)+111))/(x^2+1)^2)))))+(-(-(-(-(42227063/398131200/(x+1))))))+(-(-(-(-((((1.08429218867*E11)/1.07495424)*E10)/(x-1))))))+(-(-(-(-(((1/69120)*(((288*x^3)+(221*x^2))-(134*x)-205))/((x^4-x^2)+1)^3)))))+(-(-(-(-(((1/6635520)*((9535*x)+294))/((x^2-x)+1)^3)))))+(-(-(-(-(((7/59719680)*((4259*x)+210))/(x^2+x+1)^3)))))+(-(-(-(-(((1/829440)*((74*x)+1))/(x^2+1)^3)))))+(-(-(-(-(((72835631/4.7775744)*E9)/(x+1)^2)))))+(-(-(-(-((((1.6880254657*E10)/4.29981696)*E10)/(x-1)^2)))))+(-(-(-(-(((1/11520)*(((2*x^3)+(2*x^2))-1))/((x^4-x^2)+1)^4)))))+(-(-(-(-(((1/9953280)*((149*x)-139))/(x^2+x+1)^4)))))+(-(-(-(-(((1/1105920)*((47*x)+49))/((x^2-x)+1)^4)))))+(-(-(-(-(9895/7962624/(x+1)^3)))))+(-(-(-(-(17414935/47775744/(x-1)^3)))))+(-(-(-(((1/414720)*x)/(x^2+1)^4))))+(-(-(-(1873/29859840/(x+1)^4))))+(-(-(-(22324517/398131200/(x-1)^4))))+(-(-(-(1/1658880/(x^2+x+1)^5))))+(-(-(1/552960/((x^2-x)+1)^5)))+(-(-(37/19906560/(x+1)^5)))+(-(-(281977/59719680/(x-1)^5)))+(-(1/39813120/(x+1)^6))+(-(29083/119439360/(x-1)^6))+(-(73/9953280/(x-1)^7))))))+(1/(x-1)^5)+(2/(x-1)^6)+(2/(x-1)^7))
A257201 = (((-139345920)*integrate((A001365+(-((-(((1/30)*(((268*x^15)+(268*x^14)+(536*x^13)+(530*x^12)+(524*x^11)+(507*x^10)+(222*x^9)+(194*x^8))-(102*x^7)-(134*x^6)-(434*x^5)-(462*x^4)-(490*x^3)-(507*x^2)-(256*x)-262))/(((x^16+x^14)-x^10-x^8-x^6)+x^2+1)))+(-(-(-(-(-(-(-(((1/48)*(((74*x^15)+(56*x^14)+(38*x^13)+(19*x^12))-(19*x^10)-(38*x^9)-(56*x^8)-(148*x^7)-(145*x^6)-(142*x^5)-(134*x^4)-(126*x^3)-(115*x^2)-(104*x)-89))/((x^16-x^8)+1)))))))))+(-(-(-(-(-(-(-(((1/1152)*(((254*x^7)+(424*x^6)+(594*x^5)+(657*x^4)+(466*x^3)+(287*x^2)+(108*x))-73))/((x^8-x^4)+1)))))))))+(-(-(-(-(-(-(((1/300)*(((24*x^7)+(24*x^6))-(24*x^5)-(92*x^4)-(133*x^3)-(146*x^2)-(109*x)-44))/(((x^8+x^7)-x^5-x^4-x^3)+x+1))))))))+(-(-(-(-(-(-(((1/300)*((((((8*x^7)-(8*x^6)-(8*x^5))+(4*x^4))-(11*x^3))+(2*x^2))-(3*x)-12))/((((((x^8-x^7)+x^5)-x^4)+x^3)-x)+1))))))))+(-(-(-(-(-(-(((1/48)*(((2*x^7)+(2*x^6)+(2*x^5)+x^4)-x^2-(2*x)-2))/(x^8+1))))))))+(-(-(-(-(-(-(((1/30)*(((2*x^7)+(2*x^6)+(2*x^3)+x^2)-(2*x)-2))/((((x^8-x^6)+x^4)-x^2)+1))))))))+(-(-(-(-(-(((1/2488320)*(((442342*x^3)+(151192*x^2))-(582300*x)-464819))/((x^4-x^2)+1)))))))+(-(-(-(-(-(((1/1152)*(((38*x^3)+(19*x^2))-18))/(x^4+1)))))))+(-(-(-(-(-(((1/300)*((3*x^3)-(3*x^2)-4))/((((x^4-x^3)+x^2)-x)+1)))))))+(-(-(-(-(-(((1/300)*(x^3+x^2))/(x^4+x^3+x^2+x+1)))))))+(-(-(-(-(-(((1/5.3747712)*E9*((227167793*x)+227173793))/(x^2+x+1)))))))+(-(-(-(-(-(((1/597196800)*((82976631*x)-67206631))/((x^2-x)+1)))))))+(-(-(-(-(-(((1/1244160)*((19399*x)+949))/(x^2+1)))))))+(-(-(-(-(-(((1/192)*((3*x^6)+(6*x^5)+(8*x^4)+(10*x^3)+(8*x^2)+(6*x)+3))/((x^8-x^4)+1)^2))))))+(-(-(-(-(((1/138240)*(((5278*x^3)+(3023*x^2))-(4510*x)-4606))/((x^4-x^2)+1)^2)))))+(-(-(-(-(((1/1152)*(((2*x^3)+x^2)-1))/(x^4+1)^2)))))+(-(-(-(-(((1/358318080)*((2373000*x)+1275947))/(x^2+x+1)^2)))))+(-(-(-(-(((1/119439360)*((2363400*x)-1035091))/((x^2-x)+1)^2)))))+(-(-(-(-(((1/2488320)*((3796*x)+111))/(x^2+1)^2)))))+(-(-(-(-(42227063/398131200/(x+1))))))+(-(-(-(-((((1.08429218867*E11)/1.07495424)*E10)/(x-1))))))+(-(-(-(-(((1/69120)*(((288*x^3)+(221*x^2))-(134*x)-205))/((x^4-x^2)+1)^3)))))+(-(-(-(-(((1/6635520)*((9535*x)+294))/((x^2-x)+1)^3)))))+(-(-(-(-(((7/59719680)*((4259*x)+210))/(x^2+x+1)^3)))))+(-(-(-(-(((1/829440)*((74*x)+1))/(x^2+1)^3)))))+(-(-(-(-(((72835631/4.7775744)*E9)/(x+1)^2)))))+(-(-(-(-((((1.6880254657*E10)/4.29981696)*E10)/(x-1)^2)))))+(-(-(-(-(((1/11520)*(((2*x^3)+(2*x^2))-1))/((x^4-x^2)+1)^4)))))+(-(-(-(-(((1/9953280)*((149*x)-139))/(x^2+x+1)^4)))))+(-(-(-(-(((1/1105920)*((47*x)+49))/((x^2-x)+1)^4)))))+(-(-(-(-(9895/7962624/(x+1)^3)))))+(-(-(-(-(17414935/47775744/(x-1)^3)))))+(-(-(-(((1/414720)*x)/(x^2+1)^4))))+(-(-(-(1873/29859840/(x+1)^4))))+(-(-(-(22324517/398131200/(x-1)^4))))+(-(-(-(1/1658880/(x^2+x+1)^5))))+(-(-(1/552960/((x^2-x)+1)^5)))+(-(-(37/19906560/(x+1)^5)))+(-(-(281977/59719680/(x-1)^5)))+(-(1/39813120/(x+1)^6))+(-(29083/119439360/(x-1)^6))+(-(73/9953280/(x-1)^7)))))))+(1/(x-1)^5)+(2/(x-1)^6)+(1/(x-1)^8))
A256181 = ((9.157390848*E10*differential((A001365+(-((-(((1/30)*(((268*x^15)+(268*x^14)+(536*x^13)+(530*x^12)+(524*x^11)+(507*x^10)+(222*x^9)+(194*x^8))-(102*x^7)-(134*x^6)-(434*x^5)-(462*x^4)-(490*x^3)-(507*x^2)-(256*x)-262))/(((x^16+x^14)-x^10-x^8-x^6)+x^2+1)))+(-(-(-(-(-(-(-(((1/48)*(((74*x^15)+(56*x^14)+(38*x^13)+(19*x^12))-(19*x^10)-(38*x^9)-(56*x^8)-(148*x^7)-(145*x^6)-(142*x^5)-(134*x^4)-(126*x^3)-(115*x^2)-(104*x)-89))/((x^16-x^8)+1)))))))))+(-(-(-(-(-(-(-(((1/1152)*(((254*x^7)+(424*x^6)+(594*x^5)+(657*x^4)+(466*x^3)+(287*x^2)+(108*x))-73))/((x^8-x^4)+1)))))))))+(-(-(-(-(-(-(((1/300)*(((24*x^7)+(24*x^6))-(24*x^5)-(92*x^4)-(133*x^3)-(146*x^2)-(109*x)-44))/(((x^8+x^7)-x^5-x^4-x^3)+x+1))))))))+(-(-(-(-(-(-(((1/300)*((((((8*x^7)-(8*x^6)-(8*x^5))+(4*x^4))-(11*x^3))+(2*x^2))-(3*x)-12))/((((((x^8-x^7)+x^5)-x^4)+x^3)-x)+1))))))))+(-(-(-(-(-(-(((1/48)*(((2*x^7)+(2*x^6)+(2*x^5)+x^4)-x^2-(2*x)-2))/(x^8+1))))))))+(-(-(-(-(-(-(((1/30)*(((2*x^7)+(2*x^6)+(2*x^3)+x^2)-(2*x)-2))/((((x^8-x^6)+x^4)-x^2)+1))))))))+(-(-(-(-(-(((1/2488320)*(((442342*x^3)+(151192*x^2))-(582300*x)-464819))/((x^4-x^2)+1)))))))+(-(-(-(-(-(((1/1152)*(((38*x^3)+(19*x^2))-18))/(x^4+1)))))))+(-(-(-(-(-(((1/300)*((3*x^3)-(3*x^2)-4))/((((x^4-x^3)+x^2)-x)+1)))))))+(-(-(-(-(-(((1/300)*(x^3+x^2))/(x^4+x^3+x^2+x+1)))))))+(-(-(-(-(-(((1/5.3747712)*E9*((227167793*x)+227173793))/(x^2+x+1)))))))+(-(-(-(-(-(((1/597196800)*((82976631*x)-67206631))/((x^2-x)+1)))))))+(-(-(-(-(-(((1/1244160)*((19399*x)+949))/(x^2+1)))))))+(-(-(-(-(-(((1/192)*((3*x^6)+(6*x^5)+(8*x^4)+(10*x^3)+(8*x^2)+(6*x)+3))/((x^8-x^4)+1)^2))))))+(-(-(-(-(((1/138240)*(((5278*x^3)+(3023*x^2))-(4510*x)-4606))/((x^4-x^2)+1)^2)))))+(-(-(-(-(((1/1152)*(((2*x^3)+x^2)-1))/(x^4+1)^2)))))+(-(-(-(-(((1/358318080)*((2373000*x)+1275947))/(x^2+x+1)^2)))))+(-(-(-(-(((1/119439360)*((2363400*x)-1035091))/((x^2-x)+1)^2)))))+(-(-(-(-(((1/2488320)*((3796*x)+111))/(x^2+1)^2)))))+(-(-(-(-(42227063/398131200/(x+1))))))+(-(-(-(-((((1.08429218867*E11)/1.07495424)*E10)/(x-1))))))+(-(-(-(-(((1/69120)*(((288*x^3)+(221*x^2))-(134*x)-205))/((x^4-x^2)+1)^3)))))+(-(-(-(-(((1/6635520)*((9535*x)+294))/((x^2-x)+1)^3)))))+(-(-(-(-(((7/59719680)*((4259*x)+210))/(x^2+x+1)^3)))))+(-(-(-(-(((1/829440)*((74*x)+1))/(x^2+1)^3)))))+(-(-(-(-(((72835631/4.7775744)*E9)/(x+1)^2)))))+(-(-(-(-((((1.6880254657*E10)/4.29981696)*E10)/(x-1)^2)))))+(-(-(-(-(((1/11520)*(((2*x^3)+(2*x^2))-1))/((x^4-x^2)+1)^4)))))+(-(-(-(-(((1/9953280)*((149*x)-139))/(x^2+x+1)^4)))))+(-(-(-(-(((1/1105920)*((47*x)+49))/((x^2-x)+1)^4)))))+(-(-(-(-(9895/7962624/(x+1)^3)))))+(-(-(-(-(17414935/47775744/(x-1)^3)))))+(-(-(-(((1/414720)*x)/(x^2+1)^4))))+(-(-(-(1873/29859840/(x+1)^4))))+(-(-(-(22324517/398131200/(x-1)^4))))+(-(-(-(1/1658880/(x^2+x+1)^5))))+(-(-(1/552960/((x^2-x)+1)^5)))+(-(-(37/19906560/(x+1)^5)))+(-(-(281977/59719680/(x-1)^5)))+(-(1/39813120/(x+1)^6))+(-(29083/119439360/(x-1)^6))+(-(73/9953280/(x-1)^7)))))))+(-(1/(x-1)))+(-(3/(x-1)^3))+(-(102/(x-1)^4))+(-(1305/(x-1)^5))+(-(7812/(x-1)^6))+(-(26333/(x-1)^7))+(-(54854/(x-1)^8))+(-(63976/(x-1)^10))+(-(34905/(x-1)^11))+(-(10890/(x-1)^12))+(-(1485/(x-1)^13))+(-1))
A257850 = (((2/5)*differential((A001399+(-((((1/9)*(x+2))/(x^2+x+1))+(-(-(17/72/(x-1))))+(-(1/4/(x-1)^2))+(-(1/6/(x-1)^3)))))))+(((1/5)*((15*x^3)+(4*x^2)+(8*x)+9))/((((x^4-x^3)+x^2)-x)+1))+(-(-(((1/5)*((11*x^3)+(16*x^2)+(15*x)+8))/(x^4+x^3+x^2+x+1))))+(-(-(((1/2)*((2*x^3)+(2*x^2)+x))/(x^4+x^3+x^2+x+1)^2)))+(-(-(((1/2)*(((2*x^2)-x)+2))/((((x^4-x^3)+x^2)-x)+1)^2)))+(-(1/2/(x+1)))+(-(33/10/(x-1)))+(9/20/(x-1)^2))
A257890 = (((-(72/17))*differential((A001399+(-((((1/9)*(x+2))/(x^2+x+1))+(-(-(1/8/(x+1))))+(-(1/4/(x-1)^2))+(-(1/6/(x-1)^3)))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257890 = (((-4)*(A001399+(-((((1/9)*(x+2))/(x^2+x+1))+(-(-(1/8/(x+1))))+(-(-(17/72/(x-1))))+(-(1/6/(x-1)^3))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257464 = (((-(7/12))*differential((A001399+(-((((1/9)*(x+2))/(x^2+x+1))+(-(-(1/8/(x+1))))+(-(-(17/72/(x-1))))+(-(1/6/(x-1)^3)))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257464 = (((7/4)*(A001399+(-((((1/9)*(x+2))/(x^2+x+1))+(-(-(1/8/(x+1))))+(-(-(17/72/(x-1))))+(-(1/4/(x-1)^2))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257890 = ((12*integrate((A001399+(-((((1/9)*(x+2))/(x^2+x+1))+(-(-(1/8/(x+1))))+(-(-(17/72/(x-1))))+(-(1/4/(x-1)^2)))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257890 = ((2*differential((A001399+(-((((1/9)*(x+2))/(x^2+x+1))+(-(-(1/8/(x+1))))+(-(-(17/72/(x-1))))+(-(1/4/(x-1)^2)))))))+(1/(x-1)^2)+(1/(x-1)^6))
A257196 = ((8*x*(A001400+(-((((1/9)*(x+1))/(x^2+x+1))+(-(-(1/8/(x+1))))+(-(-(17/72/(x-1))))+(-(1/32/(x+1)^2))+(-(59/288/(x-1)^2))+(-(1/8/(x-1)^3))+(1/24/(x-1)^4)))))+(-(x^2/(x^4+1)))+1)
A226786 = ((1*differential((A001400+(-((((1/9)*(x+1))/(x^2+x+1))+(-(-(1/8/(x+1))))+(-(-(17/72/(x-1))))+(-(1/32/(x+1)^2))+(-(59/288/(x-1)^2))+(-(1/8/(x-1)^3))+(1/24/(x-1)^4))))))+(-x)+(-(-(((1/4)*(x^3+(3*x)))/(x^4+1))))+(-(-(((1/8)*x)/(x^2+1))))+(-((x^3+x)/(x^4+1)^2))+(-(3/16/(x+1)))+(-(3/16/(x-1)))+(-(1/4/(x+1)^2))+(1/4/(x-1)^2))
A257850 = (((2/5)*differential((A001400+(-((((1/9)*(x+1))/(x^2+x+1))+(-(-(1/8/(x^2+1))))+(-(-(17/72/(x-1))))+(-(1/32/(x+1)^2))+(-(59/288/(x-1)^2))+(-(1/8/(x-1)^3))+(1/24/(x-1)^4))))))+(((1/5)*((15*x^3)+(4*x^2)+(8*x)+9))/((((x^4-x^3)+x^2)-x)+1))+(-(-(((1/5)*((11*x^3)+(16*x^2)+(15*x)+8))/(x^4+x^3+x^2+x+1))))+(-(-(((1/2)*((2*x^3)+(2*x^2)+x))/(x^4+x^3+x^2+x+1)^2)))+(-(-(((1/2)*(((2*x^2)-x)+2))/((((x^4-x^3)+x^2)-x)+1)^2)))+(-(1/2/(x+1)))+(-(33/10/(x-1)))+(9/20/(x-1)^2))
A257890 = (((-(72/17))*differential((A001400+(-((((1/9)*(x+1))/(x^2+x+1))+(-(-(1/8/(x^2+1))))+(-(-(1/8/(x+1))))+(-(1/32/(x+1)^2))+(-(59/288/(x-1)^2))+(-(1/8/(x-1)^3))+(1/24/(x-1)^4))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257850 = (((8/5)*(A001400+(-((((1/9)*(x+1))/(x^2+x+1))+(-(-(1/8/(x^2+1))))+(-(-(1/8/(x+1))))+(-(-(17/72/(x-1))))+(-(59/288/(x-1)^2))+(-(1/8/(x-1)^3))+(1/24/(x-1)^4)))))+(((1/5)*((15*x^3)+(4*x^2)+(8*x)+9))/((((x^4-x^3)+x^2)-x)+1))+(-(-(((1/5)*((11*x^3)+(16*x^2)+(15*x)+8))/(x^4+x^3+x^2+x+1))))+(-(-(((1/2)*((2*x^3)+(2*x^2)+x))/(x^4+x^3+x^2+x+1)^2)))+(-(-(((1/2)*(((2*x^2)-x)+2))/((((x^4-x^3)+x^2)-x)+1)^2)))+(-(1/2/(x+1)))+(-(33/10/(x-1)))+(9/20/(x-1)^2))
A257171 = (((-2)*differential((A001400+(-((((1/9)*(x+1))/(x^2+x+1))+(-(-(1/8/(x^2+1))))+(-(-(1/8/(x+1))))+(-(-(17/72/(x-1))))+(-(59/288/(x-1)^2))+(-(1/8/(x-1)^3))+(1/24/(x-1)^4))))))+(2*x)+(-(-(3/8/(x+1))))+(-(-(3/8/(x-1))))+(-(3/4/(x-1)^2))+(-(3/8/(x-1)^3))+(-(3/4/(x-1)^4))+(-1))
A257890 = (((-(288/59))*(A001400+(-((((1/9)*(x+1))/(x^2+x+1))+(-(-(1/8/(x^2+1))))+(-(-(1/8/(x+1))))+(-(-(17/72/(x-1))))+(-(1/32/(x+1)^2))+(-(1/8/(x-1)^3))+(1/24/(x-1)^4)))))+(1/(x-1)^4)+(1/(x-1)^6))
A257464 = (((-(42/59))*differential((A001400+(-((((1/9)*(x+1))/(x^2+x+1))+(-(-(1/8/(x^2+1))))+(-(-(1/8/(x+1))))+(-(-(17/72/(x-1))))+(-(1/32/(x+1)^2))+(-(1/8/(x-1)^3))+(1/24/(x-1)^4))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257464 = (((7/3)*(A001400+(-((((1/9)*(x+1))/(x^2+x+1))+(-(-(1/8/(x^2+1))))+(-(-(1/8/(x+1))))+(-(-(17/72/(x-1))))+(-(1/32/(x+1)^2))+(-(59/288/(x-1)^2))+(1/24/(x-1)^4)))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257890 = ((16*integrate((A001400+(-((((1/9)*(x+1))/(x^2+x+1))+(-(-(1/8/(x^2+1))))+(-(-(1/8/(x+1))))+(-(-(17/72/(x-1))))+(-(1/32/(x+1)^2))+(-(59/288/(x-1)^2))+(1/24/(x-1)^4))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257890 = (((8/3)*differential((A001400+(-((((1/9)*(x+1))/(x^2+x+1))+(-(-(1/8/(x^2+1))))+(-(-(1/8/(x+1))))+(-(-(17/72/(x-1))))+(-(1/32/(x+1)^2))+(-(59/288/(x-1)^2))+(1/24/(x-1)^4))))))+(1/(x-1)^2)+(1/(x-1)^6))
A257890 = ((24*(A001400+(-((((1/9)*(x+1))/(x^2+x+1))+(-(-(1/8/(x^2+1))))+(-(-(1/8/(x+1))))+(-(-(17/72/(x-1))))+(-(1/32/(x+1)^2))+(-(59/288/(x-1)^2))+(-(1/8/(x-1)^3))))))+(1/(x-1)^2)+(1/(x-1)^6))
A257464 = ((21*integrate((A001400+(-((((1/9)*(x+1))/(x^2+x+1))+(-(-(1/8/(x^2+1))))+(-(-(1/8/(x+1))))+(-(-(17/72/(x-1))))+(-(1/32/(x+1)^2))+(-(59/288/(x-1)^2))+(-(1/8/(x-1)^3)))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257464 = ((3*differential((A001400+(-((((1/9)*(x+1))/(x^2+x+1))+(-(-(1/8/(x^2+1))))+(-(-(1/8/(x+1))))+(-(-(17/72/(x-1))))+(-(1/32/(x+1)^2))+(-(59/288/(x-1)^2))+(-(1/8/(x-1)^3)))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(7/24/(x-1)^3))+(-(1/2/(x-1)^4)))
A257850 = (((-(32/65))*differential((A001401+(-((((1/25)*(x^3+(2*x^2)+(3*x)+4))/(x^4+x^3+x^2+x+1))+(-(-(-(((1/27)*(x+2))/(x^2+x+1)))))+(-(-(-(((1/16)*(x+1))/(x^2+1)))))+(-(-(-(20831/86400/(x-1)))))+(-(-(1/64/(x+1)^2)))+(-(-(3/16/(x-1)^2)))+(-(-(31/288/(x-1)^3)))+(-(1/24/(x-1)^4))+(-(1/120/(x-1)^5)))))))+(((1/5)*((15*x^3)+(4*x^2)+(8*x)+9))/((((x^4-x^3)+x^2)-x)+1))+(-(-(((1/5)*((11*x^3)+(16*x^2)+(15*x)+8))/(x^4+x^3+x^2+x+1))))+(-(-(((1/2)*((2*x^3)+(2*x^2)+x))/(x^4+x^3+x^2+x+1)^2)))+(-(-(((1/2)*(((2*x^2)-x)+2))/((((x^4-x^3)+x^2)-x)+1)^2)))+(-(1/2/(x+1)))+(-(33/10/(x-1)))+(9/20/(x-1)^2))
A257890 = (((86400/20831)*differential((A001401+(-((((1/25)*(x^3+(2*x^2)+(3*x)+4))/(x^4+x^3+x^2+x+1))+(-(-(-(((1/27)*(x+2))/(x^2+x+1)))))+(-(-(-(((1/16)*(x+1))/(x^2+1)))))+(-(-(-(13/128/(x+1)))))+(-(-(1/64/(x+1)^2)))+(-(-(3/16/(x-1)^2)))+(-(-(31/288/(x-1)^3)))+(-(1/24/(x-1)^4))+(-(1/120/(x-1)^5)))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257850 = (((-(16/5))*(A001401+(-((((1/25)*(x^3+(2*x^2)+(3*x)+4))/(x^4+x^3+x^2+x+1))+(-(-(-(((1/27)*(x+2))/(x^2+x+1)))))+(-(-(-(((1/16)*(x+1))/(x^2+1)))))+(-(-(-(13/128/(x+1)))))+(-(-(-(20831/86400/(x-1)))))+(-(-(3/16/(x-1)^2)))+(-(-(31/288/(x-1)^3)))+(-(1/24/(x-1)^4))+(-(1/120/(x-1)^5))))))+(((1/5)*((15*x^3)+(4*x^2)+(8*x)+9))/((((x^4-x^3)+x^2)-x)+1))+(-(-(((1/5)*((11*x^3)+(16*x^2)+(15*x)+8))/(x^4+x^3+x^2+x+1))))+(-(-(((1/2)*((2*x^3)+(2*x^2)+x))/(x^4+x^3+x^2+x+1)^2)))+(-(-(((1/2)*(((2*x^2)-x)+2))/((((x^4-x^3)+x^2)-x)+1)^2)))+(-(1/2/(x+1)))+(-(33/10/(x-1)))+(9/20/(x-1)^2))
A257171 = ((4*differential((A001401+(-((((1/25)*(x^3+(2*x^2)+(3*x)+4))/(x^4+x^3+x^2+x+1))+(-(-(-(((1/27)*(x+2))/(x^2+x+1)))))+(-(-(-(((1/16)*(x+1))/(x^2+1)))))+(-(-(-(13/128/(x+1)))))+(-(-(-(20831/86400/(x-1)))))+(-(-(3/16/(x-1)^2)))+(-(-(31/288/(x-1)^3)))+(-(1/24/(x-1)^4))+(-(1/120/(x-1)^5)))))))+(2*x)+(-(-(3/8/(x+1))))+(-(-(3/8/(x-1))))+(-(3/4/(x-1)^2))+(-(3/8/(x-1)^3))+(-(3/4/(x-1)^4))+(-1))
A257890 = (((16/3)*(A001401+(-((((1/25)*(x^3+(2*x^2)+(3*x)+4))/(x^4+x^3+x^2+x+1))+(-(-(-(((1/27)*(x+2))/(x^2+x+1)))))+(-(-(-(((1/16)*(x+1))/(x^2+1)))))+(-(-(-(13/128/(x+1)))))+(-(-(-(20831/86400/(x-1)))))+(-(-(1/64/(x+1)^2)))+(-(-(31/288/(x-1)^3)))+(-(1/24/(x-1)^4))+(-(1/120/(x-1)^5))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257464 = (((7/9)*differential((A001401+(-((((1/25)*(x^3+(2*x^2)+(3*x)+4))/(x^4+x^3+x^2+x+1))+(-(-(-(((1/27)*(x+2))/(x^2+x+1)))))+(-(-(-(((1/16)*(x+1))/(x^2+1)))))+(-(-(-(13/128/(x+1)))))+(-(-(-(20831/86400/(x-1)))))+(-(-(1/64/(x+1)^2)))+(-(-(31/288/(x-1)^3)))+(-(1/24/(x-1)^4))+(-(1/120/(x-1)^5)))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257464 = (((-(84/31))*(A001401+(-((((1/25)*(x^3+(2*x^2)+(3*x)+4))/(x^4+x^3+x^2+x+1))+(-(-(-(((1/27)*(x+2))/(x^2+x+1)))))+(-(-(-(((1/16)*(x+1))/(x^2+1)))))+(-(-(-(13/128/(x+1)))))+(-(-(-(20831/86400/(x-1)))))+(-(-(1/64/(x+1)^2)))+(-(-(3/16/(x-1)^2)))+(-(1/24/(x-1)^4))+(-(1/120/(x-1)^5))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257890 = (((-(576/31))*integrate((A001401+(-((((1/25)*(x^3+(2*x^2)+(3*x)+4))/(x^4+x^3+x^2+x+1))+(-(-(-(((1/27)*(x+2))/(x^2+x+1)))))+(-(-(-(((1/16)*(x+1))/(x^2+1)))))+(-(-(-(13/128/(x+1)))))+(-(-(-(20831/86400/(x-1)))))+(-(-(1/64/(x+1)^2)))+(-(-(3/16/(x-1)^2)))+(-(1/24/(x-1)^4))+(-(1/120/(x-1)^5)))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257890 = (((-(96/31))*differential((A001401+(-((((1/25)*(x^3+(2*x^2)+(3*x)+4))/(x^4+x^3+x^2+x+1))+(-(-(-(((1/27)*(x+2))/(x^2+x+1)))))+(-(-(-(((1/16)*(x+1))/(x^2+1)))))+(-(-(-(13/128/(x+1)))))+(-(-(-(20831/86400/(x-1)))))+(-(-(1/64/(x+1)^2)))+(-(-(3/16/(x-1)^2)))+(-(1/24/(x-1)^4))+(-(1/120/(x-1)^5)))))))+(1/(x-1)^2)+(1/(x-1)^6))
A257890 = (((-24)*(A001401+(-((((1/25)*(x^3+(2*x^2)+(3*x)+4))/(x^4+x^3+x^2+x+1))+(-(-(-(((1/27)*(x+2))/(x^2+x+1)))))+(-(-(-(((1/16)*(x+1))/(x^2+1)))))+(-(-(-(13/128/(x+1)))))+(-(-(-(20831/86400/(x-1)))))+(-(-(1/64/(x+1)^2)))+(-(-(3/16/(x-1)^2)))+(-(-(31/288/(x-1)^3)))+(-(1/120/(x-1)^5))))))+(1/(x-1)^2)+(1/(x-1)^6))
A257464 = (((-21)*integrate((A001401+(-((((1/25)*(x^3+(2*x^2)+(3*x)+4))/(x^4+x^3+x^2+x+1))+(-(-(-(((1/27)*(x+2))/(x^2+x+1)))))+(-(-(-(((1/16)*(x+1))/(x^2+1)))))+(-(-(-(13/128/(x+1)))))+(-(-(-(20831/86400/(x-1)))))+(-(-(1/64/(x+1)^2)))+(-(-(3/16/(x-1)^2)))+(-(-(31/288/(x-1)^3)))+(-(1/120/(x-1)^5)))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257464 = (((-3)*differential((A001401+(-((((1/25)*(x^3+(2*x^2)+(3*x)+4))/(x^4+x^3+x^2+x+1))+(-(-(-(((1/27)*(x+2))/(x^2+x+1)))))+(-(-(-(((1/16)*(x+1))/(x^2+1)))))+(-(-(-(13/128/(x+1)))))+(-(-(-(20831/86400/(x-1)))))+(-(-(1/64/(x+1)^2)))+(-(-(3/16/(x-1)^2)))+(-(-(31/288/(x-1)^3)))+(-(1/120/(x-1)^5)))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(7/24/(x-1)^3))+(-(1/2/(x-1)^4)))
A257464 = ((60*(A001401+(-((((1/25)*(x^3+(2*x^2)+(3*x)+4))/(x^4+x^3+x^2+x+1))+(-(-(-(((1/27)*(x+2))/(x^2+x+1)))))+(-(-(-(((1/16)*(x+1))/(x^2+1)))))+(-(-(-(13/128/(x+1)))))+(-(-(-(20831/86400/(x-1)))))+(-(-(1/64/(x+1)^2)))+(-(-(3/16/(x-1)^2)))+(-(-(31/288/(x-1)^3)))+(-(1/24/(x-1)^4))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(7/24/(x-1)^3))+(-(1/2/(x-1)^4)))
A257890 = ((480*integrate((A001401+(-((((1/25)*(x^3+(2*x^2)+(3*x)+4))/(x^4+x^3+x^2+x+1))+(-(-(-(((1/27)*(x+2))/(x^2+x+1)))))+(-(-(-(((1/16)*(x+1))/(x^2+1)))))+(-(-(-(13/128/(x+1)))))+(-(-(-(20831/86400/(x-1)))))+(-(-(1/64/(x+1)^2)))+(-(-(3/16/(x-1)^2)))+(-(-(31/288/(x-1)^3)))+(-(1/24/(x-1)^4)))))))+(1/(x-1)^2)+(1/(x-1)^6))
A257890 = ((24*differential((A001401+(-((((1/25)*(x^3+(2*x^2)+(3*x)+4))/(x^4+x^3+x^2+x+1))+(-(-(-(((1/27)*(x+2))/(x^2+x+1)))))+(-(-(-(((1/16)*(x+1))/(x^2+1)))))+(-(-(-(13/128/(x+1)))))+(-(-(-(20831/86400/(x-1)))))+(-(-(1/64/(x+1)^2)))+(-(-(3/16/(x-1)^2)))+(-(-(31/288/(x-1)^3)))+(-(1/24/(x-1)^4)))))))+(1/(x-1)^2)+(1/(x-1)^4))
A257850 = (((-(1152/2305))*differential((A001402+(-((((1/25)*((2*x^3)+(3*x^2)+(3*x)+2))/(x^4+x^3+x^2+x+1))+(-(-(-(-(((1/108)*((7*x)+12))/(x^2+x+1))))))+(-(-(-(-(((1/32)*(x+1))/(x^2+1))))))+(-(-(-(-(((1/36)*(x-2))/((x^2-x)+1))))))+(-(-(-(((1/54)*(x+1))/(x^2+x+1)^2))))+(-(-(-(85823/345600/(x-1)))))+(-(-(3/128/(x+1)^2)))+(-(-(31037/172800/(x-1)^2)))+(-(-(1/384/(x+1)^3)))+(-(-(85/864/(x-1)^3)))+(-(17/432/(x-1)^4))+(-(1/96/(x-1)^5))+(1/720/(x-1)^6))))))+(((1/5)*((15*x^3)+(4*x^2)+(8*x)+9))/((((x^4-x^3)+x^2)-x)+1))+(-(-(((1/5)*((11*x^3)+(16*x^2)+(15*x)+8))/(x^4+x^3+x^2+x+1))))+(-(-(((1/2)*((2*x^3)+(2*x^2)+x))/(x^4+x^3+x^2+x+1)^2)))+(-(-(((1/2)*(((2*x^2)-x)+2))/((((x^4-x^3)+x^2)-x)+1)^2)))+(-(1/2/(x+1)))+(-(33/10/(x-1)))+(9/20/(x-1)^2))
A069907 = (((-1)*(A001402+(-((((1/25)*((2*x^3)+(3*x^2)+(3*x)+2))/(x^4+x^3+x^2+x+1))+(-(-(-(-(((1/108)*((7*x)+12))/(x^2+x+1))))))+(-(-(-(-(((1/32)*(x+1))/(x^2+1))))))+(-(-(-(-(((1/36)*(x-2))/((x^2-x)+1))))))+(-(-(-(461/4608/(x+1)))))+(-(-(-(85823/345600/(x-1)))))+(-(-(3/128/(x+1)^2)))+(-(-(31037/172800/(x-1)^2)))+(-(-(1/384/(x+1)^3)))+(-(-(85/864/(x-1)^3)))+(-(17/432/(x-1)^4))+(-(1/96/(x-1)^5))+(1/720/(x-1)^6)))))+(-(((1/50)*((2*x^3)+x^2+x+2))/((((x^4-x^3)+x^2)-x)+1)))+(-(-(-(-(((1/50)*(x^2+(3*x)+6))/(x^4+x^3+x^2+x+1))))))+(-(-(-(((1/108)*(x+4))/((x^2-x)+1)))))+(-(-(-(((1/36)*(x+2))/(x^2+x+1)))))+(-(-(-(((1/16)*(x+1))/(x^4+1)))))+(-(-(-(((1/64)*(x+1))/(x^2+1)))))+(-(-(6017/2764800/(x+1))))+(-(-(((1/128)*(x+1))/(x^2+1)^2)))+(-(-(605/36864/(x-1))))+(-(-(259/23040/(x+1)^2)))+(-(-(201/51200/(x-1)^2)))+(-(277/92160/(x+1)^3))+(-(155/55296/(x-1)^3))+(-(1/2560/(x+1)^4))+(-(31/27648/(x-1)^4))+(-(1/7680/(x+1)^5))+(-(11/7680/(x-1)^5))+(13/11520/(x-1)^6))
A257890 = (((345600/85823)*differential((A001402+(-((((1/25)*((2*x^3)+(3*x^2)+(3*x)+2))/(x^4+x^3+x^2+x+1))+(-(-(-(-(((1/108)*((7*x)+12))/(x^2+x+1))))))+(-(-(-(-(((1/32)*(x+1))/(x^2+1))))))+(-(-(-(-(((1/36)*(x-2))/((x^2-x)+1))))))+(-(-(-(461/4608/(x+1)))))+(-(-(-(((1/54)*(x+1))/(x^2+x+1)^2))))+(-(-(3/128/(x+1)^2)))+(-(-(31037/172800/(x-1)^2)))+(-(-(1/384/(x+1)^3)))+(-(-(85/864/(x-1)^3)))+(-(17/432/(x-1)^4))+(-(1/96/(x-1)^5))+(1/720/(x-1)^6))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257850 = (((-(32/15))*(A001402+(-((((1/25)*((2*x^3)+(3*x^2)+(3*x)+2))/(x^4+x^3+x^2+x+1))+(-(-(-(-(((1/108)*((7*x)+12))/(x^2+x+1))))))+(-(-(-(-(((1/32)*(x+1))/(x^2+1))))))+(-(-(-(-(((1/36)*(x-2))/((x^2-x)+1))))))+(-(-(-(461/4608/(x+1)))))+(-(-(-(((1/54)*(x+1))/(x^2+x+1)^2))))+(-(-(-(85823/345600/(x-1)))))+(-(-(31037/172800/(x-1)^2)))+(-(-(1/384/(x+1)^3)))+(-(-(85/864/(x-1)^3)))+(-(17/432/(x-1)^4))+(-(1/96/(x-1)^5))+(1/720/(x-1)^6)))))+(((1/5)*((15*x^3)+(4*x^2)+(8*x)+9))/((((x^4-x^3)+x^2)-x)+1))+(-(-(((1/5)*((11*x^3)+(16*x^2)+(15*x)+8))/(x^4+x^3+x^2+x+1))))+(-(-(((1/2)*((2*x^3)+(2*x^2)+x))/(x^4+x^3+x^2+x+1)^2)))+(-(-(((1/2)*(((2*x^2)-x)+2))/((((x^4-x^3)+x^2)-x)+1)^2)))+(-(1/2/(x+1)))+(-(33/10/(x-1)))+(9/20/(x-1)^2))
A257171 = (((8/3)*differential((A001402+(-((((1/25)*((2*x^3)+(3*x^2)+(3*x)+2))/(x^4+x^3+x^2+x+1))+(-(-(-(-(((1/108)*((7*x)+12))/(x^2+x+1))))))+(-(-(-(-(((1/32)*(x+1))/(x^2+1))))))+(-(-(-(-(((1/36)*(x-2))/((x^2-x)+1))))))+(-(-(-(461/4608/(x+1)))))+(-(-(-(((1/54)*(x+1))/(x^2+x+1)^2))))+(-(-(-(85823/345600/(x-1)))))+(-(-(31037/172800/(x-1)^2)))+(-(-(1/384/(x+1)^3)))+(-(-(85/864/(x-1)^3)))+(-(17/432/(x-1)^4))+(-(1/96/(x-1)^5))+(1/720/(x-1)^6))))))+(2*x)+(-(-(3/8/(x+1))))+(-(-(3/8/(x-1))))+(-(3/4/(x-1)^2))+(-(3/8/(x-1)^3))+(-(3/4/(x-1)^4))+(-1))
A257890 = (((172800/31037)*(A001402+(-((((1/25)*((2*x^3)+(3*x^2)+(3*x)+2))/(x^4+x^3+x^2+x+1))+(-(-(-(-(((1/108)*((7*x)+12))/(x^2+x+1))))))+(-(-(-(-(((1/32)*(x+1))/(x^2+1))))))+(-(-(-(-(((1/36)*(x-2))/((x^2-x)+1))))))+(-(-(-(461/4608/(x+1)))))+(-(-(-(((1/54)*(x+1))/(x^2+x+1)^2))))+(-(-(-(85823/345600/(x-1)))))+(-(-(3/128/(x+1)^2)))+(-(-(1/384/(x+1)^3)))+(-(-(85/864/(x-1)^3)))+(-(17/432/(x-1)^4))+(-(1/96/(x-1)^5))+(1/720/(x-1)^6)))))+(1/(x-1)^4)+(1/(x-1)^6))
A257464 = (((25200/31037)*differential((A001402+(-((((1/25)*((2*x^3)+(3*x^2)+(3*x)+2))/(x^4+x^3+x^2+x+1))+(-(-(-(-(((1/108)*((7*x)+12))/(x^2+x+1))))))+(-(-(-(-(((1/32)*(x+1))/(x^2+1))))))+(-(-(-(-(((1/36)*(x-2))/((x^2-x)+1))))))+(-(-(-(461/4608/(x+1)))))+(-(-(-(((1/54)*(x+1))/(x^2+x+1)^2))))+(-(-(-(85823/345600/(x-1)))))+(-(-(3/128/(x+1)^2)))+(-(-(1/384/(x+1)^3)))+(-(-(85/864/(x-1)^3)))+(-(17/432/(x-1)^4))+(-(1/96/(x-1)^5))+(1/720/(x-1)^6))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257171 = (((-48)*(A001402+(-((((1/25)*((2*x^3)+(3*x^2)+(3*x)+2))/(x^4+x^3+x^2+x+1))+(-(-(-(-(((1/108)*((7*x)+12))/(x^2+x+1))))))+(-(-(-(-(((1/32)*(x+1))/(x^2+1))))))+(-(-(-(-(((1/36)*(x-2))/((x^2-x)+1))))))+(-(-(-(461/4608/(x+1)))))+(-(-(-(((1/54)*(x+1))/(x^2+x+1)^2))))+(-(-(-(85823/345600/(x-1)))))+(-(-(3/128/(x+1)^2)))+(-(-(31037/172800/(x-1)^2)))+(-(-(85/864/(x-1)^3)))+(-(17/432/(x-1)^4))+(-(1/96/(x-1)^5))+(1/720/(x-1)^6)))))+(2*x)+(-(-(3/8/(x+1))))+(-(-(3/8/(x-1))))+(-(3/4/(x-1)^2))+(-(3/8/(x-1)^3))+(-(3/4/(x-1)^4))+(-1))
A257850 = (((192/5)*integrate((A001402+(-((((1/25)*((2*x^3)+(3*x^2)+(3*x)+2))/(x^4+x^3+x^2+x+1))+(-(-(-(-(((1/108)*((7*x)+12))/(x^2+x+1))))))+(-(-(-(-(((1/32)*(x+1))/(x^2+1))))))+(-(-(-(-(((1/36)*(x-2))/((x^2-x)+1))))))+(-(-(-(461/4608/(x+1)))))+(-(-(-(((1/54)*(x+1))/(x^2+x+1)^2))))+(-(-(-(85823/345600/(x-1)))))+(-(-(3/128/(x+1)^2)))+(-(-(31037/172800/(x-1)^2)))+(-(-(85/864/(x-1)^3)))+(-(17/432/(x-1)^4))+(-(1/96/(x-1)^5))+(1/720/(x-1)^6))))))+(((1/5)*((15*x^3)+(4*x^2)+(8*x)+9))/((((x^4-x^3)+x^2)-x)+1))+(-(-(((1/5)*((11*x^3)+(16*x^2)+(15*x)+8))/(x^4+x^3+x^2+x+1))))+(-(-(((1/2)*((2*x^3)+(2*x^2)+x))/(x^4+x^3+x^2+x+1)^2)))+(-(-(((1/2)*(((2*x^2)-x)+2))/((((x^4-x^3)+x^2)-x)+1)^2)))+(-(1/2/(x+1)))+(-(33/10/(x-1)))+(9/20/(x-1)^2))
A254233 = (((-1)*differential((A001402+(-((((1/25)*((2*x^3)+(3*x^2)+(3*x)+2))/(x^4+x^3+x^2+x+1))+(-(-(-(-(((1/108)*((7*x)+12))/(x^2+x+1))))))+(-(-(-(-(((1/32)*(x+1))/(x^2+1))))))+(-(-(-(-(((1/36)*(x-2))/((x^2-x)+1))))))+(-(-(-(461/4608/(x+1)))))+(-(-(-(((1/54)*(x+1))/(x^2+x+1)^2))))+(-(-(-(85823/345600/(x-1)))))+(-(-(3/128/(x+1)^2)))+(-(-(31037/172800/(x-1)^2)))+(-(-(85/864/(x-1)^3)))+(-(17/432/(x-1)^4))+(-(1/96/(x-1)^5))+(1/720/(x-1)^6))))))+(((1/972)*((113*x)+137))/(x^2+x+1))+(-(-(-(-(-(((1/12)*(x-1))/((x^2-x)+1)))))))+(-(-(-(-(3/32/(x^2+1))))))+(-(-(-(-(((1/162)*((12*x)+11))/(x^2+x+1)^2)))))+(-(-(-(-(41/384/(x+1))))))+(-(-(-(-(4345/31104/(x-1))))))+(-(-(-(83/1536/(x+1)^2))))+(-(-(-(9205/124416/(x-1)^2))))+(-(-(-(((1/27)*x)/(x^2+x+1)^3))))+(-(-(-(3/128/(x+1)^3))))+(-(-(-(3/64/(x-1)^3))))+(-(-(23/576/(x-1)^4)))+(-(-(5/144/(x-1)^5)))+(-(1/32/(x-1)^6))+(-(1/36/(x-1)^7))+(1/36/(x-1)^8))
A257464 = (((-(252/85))*(A001402+(-((((1/25)*((2*x^3)+(3*x^2)+(3*x)+2))/(x^4+x^3+x^2+x+1))+(-(-(-(-(((1/108)*((7*x)+12))/(x^2+x+1))))))+(-(-(-(-(((1/32)*(x+1))/(x^2+1))))))+(-(-(-(-(((1/36)*(x-2))/((x^2-x)+1))))))+(-(-(-(461/4608/(x+1)))))+(-(-(-(((1/54)*(x+1))/(x^2+x+1)^2))))+(-(-(-(85823/345600/(x-1)))))+(-(-(3/128/(x+1)^2)))+(-(-(31037/172800/(x-1)^2)))+(-(-(1/384/(x+1)^3)))+(-(17/432/(x-1)^4))+(-(1/96/(x-1)^5))+(1/720/(x-1)^6)))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257890 = (((-(1728/85))*integrate((A001402+(-((((1/25)*((2*x^3)+(3*x^2)+(3*x)+2))/(x^4+x^3+x^2+x+1))+(-(-(-(-(((1/108)*((7*x)+12))/(x^2+x+1))))))+(-(-(-(-(((1/32)*(x+1))/(x^2+1))))))+(-(-(-(-(((1/36)*(x-2))/((x^2-x)+1))))))+(-(-(-(461/4608/(x+1)))))+(-(-(-(((1/54)*(x+1))/(x^2+x+1)^2))))+(-(-(-(85823/345600/(x-1)))))+(-(-(3/128/(x+1)^2)))+(-(-(31037/172800/(x-1)^2)))+(-(-(1/384/(x+1)^3)))+(-(17/432/(x-1)^4))+(-(1/96/(x-1)^5))+(1/720/(x-1)^6))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257890 = (((-(288/85))*differential((A001402+(-((((1/25)*((2*x^3)+(3*x^2)+(3*x)+2))/(x^4+x^3+x^2+x+1))+(-(-(-(-(((1/108)*((7*x)+12))/(x^2+x+1))))))+(-(-(-(-(((1/32)*(x+1))/(x^2+1))))))+(-(-(-(-(((1/36)*(x-2))/((x^2-x)+1))))))+(-(-(-(461/4608/(x+1)))))+(-(-(-(((1/54)*(x+1))/(x^2+x+1)^2))))+(-(-(-(85823/345600/(x-1)))))+(-(-(3/128/(x+1)^2)))+(-(-(31037/172800/(x-1)^2)))+(-(-(1/384/(x+1)^3)))+(-(17/432/(x-1)^4))+(-(1/96/(x-1)^5))+(1/720/(x-1)^6))))))+(1/(x-1)^2)+(1/(x-1)^6))
A257890 = (((-(432/17))*(A001402+(-((((1/25)*((2*x^3)+(3*x^2)+(3*x)+2))/(x^4+x^3+x^2+x+1))+(-(-(-(-(((1/108)*((7*x)+12))/(x^2+x+1))))))+(-(-(-(-(((1/32)*(x+1))/(x^2+1))))))+(-(-(-(-(((1/36)*(x-2))/((x^2-x)+1))))))+(-(-(-(461/4608/(x+1)))))+(-(-(-(((1/54)*(x+1))/(x^2+x+1)^2))))+(-(-(-(85823/345600/(x-1)))))+(-(-(3/128/(x+1)^2)))+(-(-(31037/172800/(x-1)^2)))+(-(-(1/384/(x+1)^3)))+(-(-(85/864/(x-1)^3)))+(-(1/96/(x-1)^5))+(1/720/(x-1)^6)))))+(1/(x-1)^2)+(1/(x-1)^6))
A257464 = (((-(378/17))*integrate((A001402+(-((((1/25)*((2*x^3)+(3*x^2)+(3*x)+2))/(x^4+x^3+x^2+x+1))+(-(-(-(-(((1/108)*((7*x)+12))/(x^2+x+1))))))+(-(-(-(-(((1/32)*(x+1))/(x^2+1))))))+(-(-(-(-(((1/36)*(x-2))/((x^2-x)+1))))))+(-(-(-(461/4608/(x+1)))))+(-(-(-(((1/54)*(x+1))/(x^2+x+1)^2))))+(-(-(-(85823/345600/(x-1)))))+(-(-(3/128/(x+1)^2)))+(-(-(31037/172800/(x-1)^2)))+(-(-(1/384/(x+1)^3)))+(-(-(85/864/(x-1)^3)))+(-(1/96/(x-1)^5))+(1/720/(x-1)^6))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257464 = (((-(54/17))*differential((A001402+(-((((1/25)*((2*x^3)+(3*x^2)+(3*x)+2))/(x^4+x^3+x^2+x+1))+(-(-(-(-(((1/108)*((7*x)+12))/(x^2+x+1))))))+(-(-(-(-(((1/32)*(x+1))/(x^2+1))))))+(-(-(-(-(((1/36)*(x-2))/((x^2-x)+1))))))+(-(-(-(461/4608/(x+1)))))+(-(-(-(((1/54)*(x+1))/(x^2+x+1)^2))))+(-(-(-(85823/345600/(x-1)))))+(-(-(3/128/(x+1)^2)))+(-(-(31037/172800/(x-1)^2)))+(-(-(1/384/(x+1)^3)))+(-(-(85/864/(x-1)^3)))+(-(1/96/(x-1)^5))+(1/720/(x-1)^6))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(7/24/(x-1)^3))+(-(1/2/(x-1)^4)))
A257464 = ((48*(A001402+(-((((1/25)*((2*x^3)+(3*x^2)+(3*x)+2))/(x^4+x^3+x^2+x+1))+(-(-(-(-(((1/108)*((7*x)+12))/(x^2+x+1))))))+(-(-(-(-(((1/32)*(x+1))/(x^2+1))))))+(-(-(-(-(((1/36)*(x-2))/((x^2-x)+1))))))+(-(-(-(461/4608/(x+1)))))+(-(-(-(((1/54)*(x+1))/(x^2+x+1)^2))))+(-(-(-(85823/345600/(x-1)))))+(-(-(3/128/(x+1)^2)))+(-(-(31037/172800/(x-1)^2)))+(-(-(1/384/(x+1)^3)))+(-(-(85/864/(x-1)^3)))+(-(17/432/(x-1)^4))+(1/720/(x-1)^6)))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(7/24/(x-1)^3))+(-(1/2/(x-1)^4)))
A257890 = ((384*integrate((A001402+(-((((1/25)*((2*x^3)+(3*x^2)+(3*x)+2))/(x^4+x^3+x^2+x+1))+(-(-(-(-(((1/108)*((7*x)+12))/(x^2+x+1))))))+(-(-(-(-(((1/32)*(x+1))/(x^2+1))))))+(-(-(-(-(((1/36)*(x-2))/((x^2-x)+1))))))+(-(-(-(461/4608/(x+1)))))+(-(-(-(((1/54)*(x+1))/(x^2+x+1)^2))))+(-(-(-(85823/345600/(x-1)))))+(-(-(3/128/(x+1)^2)))+(-(-(31037/172800/(x-1)^2)))+(-(-(1/384/(x+1)^3)))+(-(-(85/864/(x-1)^3)))+(-(17/432/(x-1)^4))+(1/720/(x-1)^6))))))+(1/(x-1)^2)+(1/(x-1)^6))
A257890 = (((96/5)*differential((A001402+(-((((1/25)*((2*x^3)+(3*x^2)+(3*x)+2))/(x^4+x^3+x^2+x+1))+(-(-(-(-(((1/108)*((7*x)+12))/(x^2+x+1))))))+(-(-(-(-(((1/32)*(x+1))/(x^2+1))))))+(-(-(-(-(((1/36)*(x-2))/((x^2-x)+1))))))+(-(-(-(461/4608/(x+1)))))+(-(-(-(((1/54)*(x+1))/(x^2+x+1)^2))))+(-(-(-(85823/345600/(x-1)))))+(-(-(3/128/(x+1)^2)))+(-(-(31037/172800/(x-1)^2)))+(-(-(1/384/(x+1)^3)))+(-(-(85/864/(x-1)^3)))+(-(17/432/(x-1)^4))+(1/720/(x-1)^6))))))+(1/(x-1)^2)+(1/(x-1)^4))
A257890 = ((720*(A001402+(-((((1/25)*((2*x^3)+(3*x^2)+(3*x)+2))/(x^4+x^3+x^2+x+1))+(-(-(-(-(((1/108)*((7*x)+12))/(x^2+x+1))))))+(-(-(-(-(((1/32)*(x+1))/(x^2+1))))))+(-(-(-(-(((1/36)*(x-2))/((x^2-x)+1))))))+(-(-(-(461/4608/(x+1)))))+(-(-(-(((1/54)*(x+1))/(x^2+x+1)^2))))+(-(-(-(85823/345600/(x-1)))))+(-(-(3/128/(x+1)^2)))+(-(-(31037/172800/(x-1)^2)))+(-(-(1/384/(x+1)^3)))+(-(-(85/864/(x-1)^3)))+(-(17/432/(x-1)^4))+(-(1/96/(x-1)^5))))))+(1/(x-1)^2)+(1/(x-1)^4))
A257464 = ((1800*integrate((A001402+(-((((1/25)*((2*x^3)+(3*x^2)+(3*x)+2))/(x^4+x^3+x^2+x+1))+(-(-(-(-(((1/108)*((7*x)+12))/(x^2+x+1))))))+(-(-(-(-(((1/32)*(x+1))/(x^2+1))))))+(-(-(-(-(((1/36)*(x-2))/((x^2-x)+1))))))+(-(-(-(461/4608/(x+1)))))+(-(-(-(((1/54)*(x+1))/(x^2+x+1)^2))))+(-(-(-(85823/345600/(x-1)))))+(-(-(3/128/(x+1)^2)))+(-(-(31037/172800/(x-1)^2)))+(-(-(1/384/(x+1)^3)))+(-(-(85/864/(x-1)^3)))+(-(17/432/(x-1)^4))+(-(1/96/(x-1)^5)))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(7/24/(x-1)^3))+(-(1/2/(x-1)^4)))
A257201 = (((-240)*differential((A001402+(-((((1/25)*((2*x^3)+(3*x^2)+(3*x)+2))/(x^4+x^3+x^2+x+1))+(-(-(-(-(((1/108)*((7*x)+12))/(x^2+x+1))))))+(-(-(-(-(((1/32)*(x+1))/(x^2+1))))))+(-(-(-(-(((1/36)*(x-2))/((x^2-x)+1))))))+(-(-(-(461/4608/(x+1)))))+(-(-(-(((1/54)*(x+1))/(x^2+x+1)^2))))+(-(-(-(85823/345600/(x-1)))))+(-(-(3/128/(x+1)^2)))+(-(-(31037/172800/(x-1)^2)))+(-(-(1/384/(x+1)^3)))+(-(-(85/864/(x-1)^3)))+(-(17/432/(x-1)^4))+(-(1/96/(x-1)^5)))))))+(1/(x-1)^5)+(2/(x-1)^6)+(1/(x-1)^8))
A088662 = (((-1)*differential((A001405+(-(-(sqrt(((-(4*x^2))+1))/((2*x)-1)))))))+(-(1/sqrt(((-(4*x^2))+1))))+(-(1/(sqrt(((-(4*x^2))+1))*((2*x)-1)))))
A100071 = (((1/4)*differential((A001405+(-(((1/2)*(sqrt(((-(4*x^2))+1))-1))/x)))))+(-(1/2/sqrt(((-(4*x^2))+1)))))
A245926 = ((-((4*sqrt(2)*sqrt((-((x-sqrt(((x^2-(14*x))+1))-1)/((x^2-(14*x))+1)))))/((sqrt(2)*log((((2*x)-sqrt(2))/((2*x)+sqrt(2)))))+log(((2*x^2)-1)))))*integrate((A001445+(-((-((3/2)*x))+(-(1/2/((2*x)-1)))+(-1))))))
A248917 = (((-3)*differential((A001445+(-((-((3/2)*x))+(-(((1/2)*(x+1))/((2*x^2)-1)))+(-1))))))+(-(1/((2*x)-1)))+(-(1/(x-1)))+(-(2/((2*x)-1)^3)))
A241874 = (((3/200)*differential((A001447+(-(-(((1/2)*(x+1))/((5*x^2)-1)))))))+(-(4/125/((6*x)-1)))+(-(-(-(9/160/((5*x)-1)))))+(-(-(-(1/24/((4*x)-1)))))+(-(-(5/288/((3*x)-1))))+(-(-(3/32/((2*x)-1))))+(-(-(593/6000/(x-1))))+(-(-(5/54/((4*x)-1)^2)))+(-(-(13/144/((3*x)-1)^2)))+(-(1/16/((2*x)-1)^2))+(-(923/10800/(x-1)^2))+(-(1/24/((4*x)-1)^3))+(-(17/144/((3*x)-1)^3))+(-(1/16/((2*x)-1)^3))+(-(19/720/(x-1)^3))+(-(1/24/((3*x)-1)^4))+(-(3/32/((2*x)-1)^4))+(-(1/32/((2*x)-1)^5))+(-(3/160)))
A245926 = ((sqrt((-((x-sqrt(((x^2-(14*x))+1))-1)/((x^2-(14*x))+1))))/sqrt((-((sqrt(((-(16*x))+1))+1)/((16*x)-1)))))*A001448)
A245926 = ((-((12*sqrt((-((x-sqrt(((x^2-(14*x))+1))-1)/((x^2-(14*x))+1)))))/((sqrt(((-(16*x))+1))*sqrt((sqrt(((-(16*x))+1))+1)))+sqrt((sqrt(((-(16*x))+1))+1)))))*integrate(A001448))
A257890 = (((-1)*differential((A001477+(-(1/(x-1)^2)))))+(1/(x-1)^4)+(1/(x-1)^6))
A257890 = ((1*(A001477+(-(1/(x-1)))))+(1/(x-1)^4)+(1/(x-1)^6))
A257464 = (((7/48)*differential((A001477+(-(1/(x-1))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257890 = ((1*differential((A001478+(-(-(1/(x-1)^2))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257890 = (((-1)*(A001478+(-(-(1/(x-1))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257464 = (((-(7/48))*differential((A001478+(-(-(1/(x-1)))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257890 = (((-1)*A001489)+(1/(x-1)^4)+(1/(x-1)^6))
A257464 = (((-(7/48))*differential(A001489))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257890 = ((1*(A001496+(-((20/(x-1)^5)+(172/(x-1)^6)+(656/(x-1)^7)+(1208/(x-1)^8)+(1056/(x-1)^9)+(352/(x-1)^10)))))+(1/(x-1)^2)+(1/(x-1)^6))
A257464 = (((7/8)*integrate((A001496+(-((20/(x-1)^5)+(172/(x-1)^6)+(656/(x-1)^7)+(1208/(x-1)^8)+(1056/(x-1)^9)+(352/(x-1)^10))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257464 = (((1/8)*differential((A001496+(-((20/(x-1)^5)+(172/(x-1)^6)+(656/(x-1)^7)+(1208/(x-1)^8)+(1056/(x-1)^9)+(352/(x-1)^10))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(7/24/(x-1)^3))+(-(1/2/(x-1)^4)))
A257464 = (((-(1/40))*(A001496+(-((1/(x-1)^4)+(172/(x-1)^6)+(656/(x-1)^7)+(1208/(x-1)^8)+(1056/(x-1)^9)+(352/(x-1)^10)))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(7/24/(x-1)^3))+(-(1/2/(x-1)^4)))
A257890 = (((-(1/5))*integrate((A001496+(-((1/(x-1)^4)+(172/(x-1)^6)+(656/(x-1)^7)+(1208/(x-1)^8)+(1056/(x-1)^9)+(352/(x-1)^10))))))+(1/(x-1)^2)+(1/(x-1)^6))
A257890 = (((-(1/100))*differential((A001496+(-((1/(x-1)^4)+(172/(x-1)^6)+(656/(x-1)^7)+(1208/(x-1)^8)+(1056/(x-1)^9)+(352/(x-1)^10))))))+(1/(x-1)^2)+(1/(x-1)^4))
A257890 = (((1/172)*(A001496+(-((1/(x-1)^4)+(20/(x-1)^5)+(656/(x-1)^7)+(1208/(x-1)^8)+(1056/(x-1)^9)+(352/(x-1)^10)))))+(1/(x-1)^2)+(1/(x-1)^4))
A257464 = (((5/344)*integrate((A001496+(-((1/(x-1)^4)+(20/(x-1)^5)+(656/(x-1)^7)+(1208/(x-1)^8)+(1056/(x-1)^9)+(352/(x-1)^10))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(7/24/(x-1)^3))+(-(1/2/(x-1)^4)))
A257201 = (((-(1/516))*differential((A001496+(-((1/(x-1)^4)+(20/(x-1)^5)+(656/(x-1)^7)+(1208/(x-1)^8)+(1056/(x-1)^9)+(352/(x-1)^10))))))+(1/(x-1)^5)+(2/(x-1)^6)+(1/(x-1)^8))
A257201 = (((1/328)*(A001496+(-((1/(x-1)^4)+(20/(x-1)^5)+(172/(x-1)^6)+(1208/(x-1)^8)+(1056/(x-1)^9)+(352/(x-1)^10)))))+(1/(x-1)^5)+(2/(x-1)^6)+(1/(x-1)^8))
A257890 = (((-(3/328))*integrate((A001496+(-((1/(x-1)^4)+(20/(x-1)^5)+(172/(x-1)^6)+(1208/(x-1)^8)+(1056/(x-1)^9)+(352/(x-1)^10))))))+(1/(x-1)^2)+(1/(x-1)^4))
A257201 = (((-(1/4592))*differential((A001496+(-((1/(x-1)^4)+(20/(x-1)^5)+(172/(x-1)^6)+(1208/(x-1)^8)+(1056/(x-1)^9)+(352/(x-1)^10))))))+(1/(x-1)^5)+(2/(x-1)^6)+(2/(x-1)^7))
A257201 = (((1/1208)*(A001496+(-((1/(x-1)^4)+(20/(x-1)^5)+(172/(x-1)^6)+(656/(x-1)^7)+(1056/(x-1)^9)+(352/(x-1)^10)))))+(1/(x-1)^5)+(2/(x-1)^6)+(2/(x-1)^7))
A257201 = (((-(7/604))*integrate((A001496+(-((1/(x-1)^4)+(20/(x-1)^5)+(172/(x-1)^6)+(656/(x-1)^7)+(1056/(x-1)^9)+(352/(x-1)^10))))))+(1/(x-1)^5)+(2/(x-1)^6)+(1/(x-1)^8))
A256181 = (((73603/9664)*differential((A001496+(-((1/(x-1)^4)+(20/(x-1)^5)+(172/(x-1)^6)+(656/(x-1)^7)+(1056/(x-1)^9)+(352/(x-1)^10))))))+(-(1/(x-1)))+(-(3/(x-1)^3))+(-(102/(x-1)^4))+(-(1305/(x-1)^5))+(-(7812/(x-1)^6))+(-(26333/(x-1)^7))+(-(54854/(x-1)^8))+(-(63976/(x-1)^10))+(-(34905/(x-1)^11))+(-(10890/(x-1)^12))+(-(1485/(x-1)^13))+(-1))
A256181 = (((-(73603/1056))*(A001496+(-((1/(x-1)^4)+(20/(x-1)^5)+(172/(x-1)^6)+(656/(x-1)^7)+(1208/(x-1)^8)+(352/(x-1)^10)))))+(-(1/(x-1)))+(-(3/(x-1)^3))+(-(102/(x-1)^4))+(-(1305/(x-1)^5))+(-(7812/(x-1)^6))+(-(26333/(x-1)^7))+(-(54854/(x-1)^8))+(-(63976/(x-1)^10))+(-(34905/(x-1)^11))+(-(10890/(x-1)^12))+(-(1485/(x-1)^13))+(-1))
A257201 = (((-(1/132))*integrate((A001496+(-((1/(x-1)^4)+(20/(x-1)^5)+(172/(x-1)^6)+(656/(x-1)^7)+(1208/(x-1)^8)+(352/(x-1)^10))))))+(1/(x-1)^5)+(2/(x-1)^6)+(2/(x-1)^7))
A256181 = (((727/108)*differential((A001496+(-((1/(x-1)^4)+(20/(x-1)^5)+(172/(x-1)^6)+(656/(x-1)^7)+(1208/(x-1)^8)+(352/(x-1)^10))))))+(-(1/(x-1)))+(-(3/(x-1)^3))+(-(102/(x-1)^4))+(-(1305/(x-1)^5))+(-(7812/(x-1)^6))+(-(26333/(x-1)^7))+(-(54854/(x-1)^8))+(-(73603/(x-1)^9))+(-(34905/(x-1)^11))+(-(10890/(x-1)^12))+(-(1485/(x-1)^13))+(-1))
A256181 = (((-(727/4))*(A001496+(-((1/(x-1)^4)+(20/(x-1)^5)+(172/(x-1)^6)+(656/(x-1)^7)+(1208/(x-1)^8)+(1056/(x-1)^9)))))+(-(1/(x-1)))+(-(3/(x-1)^3))+(-(102/(x-1)^4))+(-(1305/(x-1)^5))+(-(7812/(x-1)^6))+(-(26333/(x-1)^7))+(-(54854/(x-1)^8))+(-(73603/(x-1)^9))+(-(34905/(x-1)^11))+(-(10890/(x-1)^12))+(-(1485/(x-1)^13))+(-1))
A256181 = (((662427/352)*integrate((A001496+(-((1/(x-1)^4)+(20/(x-1)^5)+(172/(x-1)^6)+(656/(x-1)^7)+(1208/(x-1)^8)+(1056/(x-1)^9))))))+(-(1/(x-1)))+(-(3/(x-1)^3))+(-(102/(x-1)^4))+(-(1305/(x-1)^5))+(-(7812/(x-1)^6))+(-(26333/(x-1)^7))+(-(54854/(x-1)^8))+(-(63976/(x-1)^10))+(-(34905/(x-1)^11))+(-(10890/(x-1)^12))+(-(1485/(x-1)^13))+(-1))
A256181 = (((6981/704)*differential((A001496+(-((1/(x-1)^4)+(20/(x-1)^5)+(172/(x-1)^6)+(656/(x-1)^7)+(1208/(x-1)^8)+(1056/(x-1)^9))))))+(-(1/(x-1)))+(-(3/(x-1)^3))+(-(102/(x-1)^4))+(-(1305/(x-1)^5))+(-(7812/(x-1)^6))+(-(26333/(x-1)^7))+(-(54854/(x-1)^8))+(-(73603/(x-1)^9))+(-(63976/(x-1)^10))+(-(10890/(x-1)^12))+(-(1485/(x-1)^13))+(-1))
A257890 = (((-(1/6))*differential((A001505+(-((204/(x-1)^2)+(576/(x-1)^3)+(384/(x-1)^4))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257890 = (((1/204)*(A001505+(-((6/(x-1))+(576/(x-1)^3)+(384/(x-1)^4)))))+(1/(x-1)^4)+(1/(x-1)^6))
A257464 = (((7/9792)*differential((A001505+(-((6/(x-1))+(576/(x-1)^3)+(384/(x-1)^4))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257464 = (((-(7/13824))*(A001505+(-((6/(x-1))+(204/(x-1)^2)+(384/(x-1)^4)))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257890 = (((-(1/288))*integrate((A001505+(-((6/(x-1))+(204/(x-1)^2)+(384/(x-1)^4))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257890 = (((-(1/1728))*differential((A001505+(-((6/(x-1))+(204/(x-1)^2)+(384/(x-1)^4))))))+(1/(x-1)^2)+(1/(x-1)^6))
A257890 = (((1/384)*(A001505+(-((6/(x-1))+(204/(x-1)^2)+(576/(x-1)^3)))))+(1/(x-1)^2)+(1/(x-1)^6))
A257464 = (((7/3072)*integrate((A001505+(-((6/(x-1))+(204/(x-1)^2)+(576/(x-1)^3))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257464 = (((1/3072)*differential((A001505+(-((6/(x-1))+(204/(x-1)^2)+(576/(x-1)^3))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(7/24/(x-1)^3))+(-(1/2/(x-1)^4)))
A257890 = (((1/24)*differential((A001512+(-((-(3000/(x-1)^2))+(-(18000/(x-1)^3))+(-(30000/(x-1)^4))+(-(15000/(x-1)^5)))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257890 = (((-(1/3000))*(A001512+(-((-(24/(x-1)))+(-(18000/(x-1)^3))+(-(30000/(x-1)^4))+(-(15000/(x-1)^5))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257464 = (((-(7/144000))*differential((A001512+(-((-(24/(x-1)))+(-(18000/(x-1)^3))+(-(30000/(x-1)^4))+(-(15000/(x-1)^5)))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257464 = (((7/432000)*(A001512+(-((-(24/(x-1)))+(-(3000/(x-1)^2))+(-(30000/(x-1)^4))+(-(15000/(x-1)^5))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257890 = (((1/9000)*integrate((A001512+(-((-(24/(x-1)))+(-(3000/(x-1)^2))+(-(30000/(x-1)^4))+(-(15000/(x-1)^5)))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257890 = (((1/54000)*differential((A001512+(-((-(24/(x-1)))+(-(3000/(x-1)^2))+(-(30000/(x-1)^4))+(-(15000/(x-1)^5)))))))+(1/(x-1)^2)+(1/(x-1)^6))
A257890 = (((-(1/30000))*(A001512+(-((-(24/(x-1)))+(-(3000/(x-1)^2))+(-(18000/(x-1)^3))+(-(15000/(x-1)^5))))))+(1/(x-1)^2)+(1/(x-1)^6))
A257464 = (((-(7/240000))*integrate((A001512+(-((-(24/(x-1)))+(-(3000/(x-1)^2))+(-(18000/(x-1)^3))+(-(15000/(x-1)^5)))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257464 = (((-(1/240000))*differential((A001512+(-((-(24/(x-1)))+(-(3000/(x-1)^2))+(-(18000/(x-1)^3))+(-(15000/(x-1)^5)))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(7/24/(x-1)^3))+(-(1/2/(x-1)^4)))
A257464 = (((1/30000)*(A001512+(-((-(24/(x-1)))+(-(3000/(x-1)^2))+(-(18000/(x-1)^3))+(-(30000/(x-1)^4))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(7/24/(x-1)^3))+(-(1/2/(x-1)^4)))
A257890 = (((1/3750)*integrate((A001512+(-((-(24/(x-1)))+(-(3000/(x-1)^2))+(-(18000/(x-1)^3))+(-(30000/(x-1)^4)))))))+(1/(x-1)^2)+(1/(x-1)^6))
A257890 = (((1/75000)*differential((A001512+(-((-(24/(x-1)))+(-(3000/(x-1)^2))+(-(18000/(x-1)^3))+(-(30000/(x-1)^4)))))))+(1/(x-1)^2)+(1/(x-1)^4))
A257890 = (((1/5)*differential((A001513+(-((-(72/(x-1)^2))+(-(72/(x-1)^3)))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257890 = (((-(1/72))*(A001513+(-((-(5/(x-1)))+(-(72/(x-1)^3))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257464 = (((-(7/3456))*differential((A001513+(-((-(5/(x-1)))+(-(72/(x-1)^3)))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257464 = (((7/1728)*(A001513+(-((-(5/(x-1)))+(-(72/(x-1)^2))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257890 = (((1/36)*integrate((A001513+(-((-(5/(x-1)))+(-(72/(x-1)^2)))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257890 = (((1/216)*differential((A001513+(-((-(5/(x-1)))+(-(72/(x-1)^2)))))))+(1/(x-1)^2)+(1/(x-1)^6))
A257890 = (((-(1/15))*differential((A001520+(-((678/(x-1)^2)+(1944/(x-1)^3)+(1296/(x-1)^4))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257890 = (((1/678)*(A001520+(-((15/(x-1))+(1944/(x-1)^3)+(1296/(x-1)^4)))))+(1/(x-1)^4)+(1/(x-1)^6))
A257464 = (((7/32544)*differential((A001520+(-((15/(x-1))+(1944/(x-1)^3)+(1296/(x-1)^4))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257464 = (((-(7/46656))*(A001520+(-((15/(x-1))+(678/(x-1)^2)+(1296/(x-1)^4)))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257890 = (((-(1/972))*integrate((A001520+(-((15/(x-1))+(678/(x-1)^2)+(1296/(x-1)^4))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257890 = (((-(1/5832))*differential((A001520+(-((15/(x-1))+(678/(x-1)^2)+(1296/(x-1)^4))))))+(1/(x-1)^2)+(1/(x-1)^6))
A257890 = (((1/1296)*(A001520+(-((15/(x-1))+(678/(x-1)^2)+(1944/(x-1)^3)))))+(1/(x-1)^2)+(1/(x-1)^6))
A257464 = (((7/10368)*integrate((A001520+(-((15/(x-1))+(678/(x-1)^2)+(1944/(x-1)^3))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257464 = (((1/10368)*differential((A001520+(-((15/(x-1))+(678/(x-1)^2)+(1944/(x-1)^3))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(7/24/(x-1)^3))+(-(1/2/(x-1)^4)))
A257890 = (((1/8)*differential((A001534+(-((-(162/(x-1)^2))+(-(162/(x-1)^3)))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257890 = (((-(1/162))*(A001534+(-((-(8/(x-1)))+(-(162/(x-1)^3))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257464 = (((-(7/7776))*differential((A001534+(-((-(8/(x-1)))+(-(162/(x-1)^3)))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257464 = (((7/3888)*(A001534+(-((-(8/(x-1)))+(-(162/(x-1)^2))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257890 = (((1/81)*integrate((A001534+(-((-(8/(x-1)))+(-(162/(x-1)^2)))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257890 = (((1/486)*differential((A001534+(-((-(8/(x-1)))+(-(162/(x-1)^2)))))))+(1/(x-1)^2)+(1/(x-1)^6))
A257890 = (((1/9)*differential((A001535+(-((-(200/(x-1)^2))+(-(200/(x-1)^3)))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257890 = (((-(1/200))*(A001535+(-((-(9/(x-1)))+(-(200/(x-1)^3))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257464 = (((-(7/9600))*differential((A001535+(-((-(9/(x-1)))+(-(200/(x-1)^3)))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257464 = (((7/4800)*(A001535+(-((-(9/(x-1)))+(-(200/(x-1)^2))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257890 = (((1/100)*integrate((A001535+(-((-(9/(x-1)))+(-(200/(x-1)^2)))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257890 = (((1/600)*differential((A001535+(-((-(9/(x-1)))+(-(200/(x-1)^2)))))))+(1/(x-1)^2)+(1/(x-1)^6))
A257890 = (((1/3)*differential((A001539+(-((-(32/(x-1)^2))+(-(32/(x-1)^3)))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257890 = (((-(1/32))*(A001539+(-((-(3/(x-1)))+(-(32/(x-1)^3))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257464 = (((-(7/1536))*differential((A001539+(-((-(3/(x-1)))+(-(32/(x-1)^3)))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257464 = (((7/768)*(A001539+(-((-(3/(x-1)))+(-(32/(x-1)^2))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257890 = (((1/16)*integrate((A001539+(-((-(3/(x-1)))+(-(32/(x-1)^2)))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257890 = (((1/96)*differential((A001539+(-((-(3/(x-1)))+(-(32/(x-1)^2)))))))+(1/(x-1)^2)+(1/(x-1)^6))
A182189 = ((1*A001542)+(-(1/(x-1))))
A245926 = (((2*sqrt(2)*sqrt((-((x-sqrt(((x^2-(14*x))+1))-1)/((x^2-(14*x))+1)))))/((3*sqrt(2)*log(((x-(2*sqrt(2))-3)/((x+(2*sqrt(2)))-3))))+(4*log(((x^2-(6*x))+1)))))*integrate(A001542))
A257890 = (((1/105)*differential((A001546+(-((-(19200/(x-1)^2))+(-(117504/(x-1)^3))+(-(196608/(x-1)^4))+(-(98304/(x-1)^5)))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257890 = (((-(1/19200))*(A001546+(-((-(105/(x-1)))+(-(117504/(x-1)^3))+(-(196608/(x-1)^4))+(-(98304/(x-1)^5))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257464 = (((-(7/921600))*differential((A001546+(-((-(105/(x-1)))+(-(117504/(x-1)^3))+(-(196608/(x-1)^4))+(-(98304/(x-1)^5)))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257464 = (((7/2820096)*(A001546+(-((-(105/(x-1)))+(-(19200/(x-1)^2))+(-(196608/(x-1)^4))+(-(98304/(x-1)^5))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257890 = (((1/58752)*integrate((A001546+(-((-(105/(x-1)))+(-(19200/(x-1)^2))+(-(196608/(x-1)^4))+(-(98304/(x-1)^5)))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257890 = (((1/352512)*differential((A001546+(-((-(105/(x-1)))+(-(19200/(x-1)^2))+(-(196608/(x-1)^4))+(-(98304/(x-1)^5)))))))+(1/(x-1)^2)+(1/(x-1)^6))
A257890 = (((-(1/196608))*(A001546+(-((-(105/(x-1)))+(-(19200/(x-1)^2))+(-(117504/(x-1)^3))+(-(98304/(x-1)^5))))))+(1/(x-1)^2)+(1/(x-1)^6))
A257464 = (((-(7/1572864))*integrate((A001546+(-((-(105/(x-1)))+(-(19200/(x-1)^2))+(-(117504/(x-1)^3))+(-(98304/(x-1)^5)))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257464 = (((-(1/1572864))*differential((A001546+(-((-(105/(x-1)))+(-(19200/(x-1)^2))+(-(117504/(x-1)^3))+(-(98304/(x-1)^5)))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(7/24/(x-1)^3))+(-(1/2/(x-1)^4)))
A257464 = (((1/196608)*(A001546+(-((-(105/(x-1)))+(-(19200/(x-1)^2))+(-(117504/(x-1)^3))+(-(196608/(x-1)^4))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(7/24/(x-1)^3))+(-(1/2/(x-1)^4)))
A257890 = (((1/24576)*integrate((A001546+(-((-(105/(x-1)))+(-(19200/(x-1)^2))+(-(117504/(x-1)^3))+(-(196608/(x-1)^4)))))))+(1/(x-1)^2)+(1/(x-1)^6))
A257890 = (((1/491520)*differential((A001546+(-((-(105/(x-1)))+(-(19200/(x-1)^2))+(-(117504/(x-1)^3))+(-(196608/(x-1)^4)))))))+(1/(x-1)^2)+(1/(x-1)^4))
A248088 = (((1/6)*differential((A001550+(-((-(1/((2*x)-1)))+(-(1/(x-1))))))))+(((1/6)*((2*x)+1))/((3*x^2)+(2*x)+1))+(-(1/3/((3*x)-1))))
A248917 = (((-(3/2))*differential((A001550+(-((-(1/((3*x)-1)))+(-(1/(x-1))))))))+(-(1/((2*x)-1)))+(-(1/(x-1)))+(-(2/((2*x)-1)^3)))
A257890 = ((1*differential((A001550+(-((-(1/((3*x)-1)))+(-(1/((2*x)-1))))))))+(1/(x-1)^4)+(1/(x-1)^6))
A229689 = (((-(1/9))*differential((A001579+(-((-(1/((5*x)-1)))+(-(1/((3*x)-1))))))))+((1/2)*x)+(-(13/36/((6*x)-1)))+(-(16/27/((6*x)-1)^3))+(47/108))
A241874 = (((3/400)*differential((A001579+(-((-(1/((6*x)-1)))+(-(1/((3*x)-1))))))))+(-(4/125/((6*x)-1)))+(-(-(-(9/160/((5*x)-1)))))+(-(-(-(1/24/((4*x)-1)))))+(-(-(5/288/((3*x)-1))))+(-(-(3/32/((2*x)-1))))+(-(-(593/6000/(x-1))))+(-(-(5/54/((4*x)-1)^2)))+(-(-(13/144/((3*x)-1)^2)))+(-(1/16/((2*x)-1)^2))+(-(923/10800/(x-1)^2))+(-(1/24/((4*x)-1)^3))+(-(17/144/((3*x)-1)^3))+(-(1/16/((2*x)-1)^3))+(-(19/720/(x-1)^3))+(-(1/24/((3*x)-1)^4))+(-(3/32/((2*x)-1)^4))+(-(1/32/((2*x)-1)^5))+(-(3/160)))
A248088 = (((1/6)*differential((A001579+(-((-(1/((6*x)-1)))+(-(1/((5*x)-1))))))))+(((1/6)*((2*x)+1))/((3*x^2)+(2*x)+1))+(-(1/3/((3*x)-1))))
A248917 = (((-(3/2))*differential((A001580+(-((-(1/(x-1)))+(-(3/(x-1)^2))+(-(2/(x-1)^3)))))))+(-(1/((2*x)-1)))+(-(1/(x-1)))+(-(2/((2*x)-1)^3)))
A257890 = ((1*differential((A001580+(-((-(1/((2*x)-1)))+(-(3/(x-1)^2))+(-(2/(x-1)^3)))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257890 = (((-(1/3))*(A001580+(-((-(1/((2*x)-1)))+(-(1/(x-1)))+(-(2/(x-1)^3))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257464 = (((-(7/144))*differential((A001580+(-((-(1/((2*x)-1)))+(-(1/(x-1)))+(-(2/(x-1)^3)))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257464 = (((7/48)*(A001580+(-((-(1/((2*x)-1)))+(-(1/(x-1)))+(-(3/(x-1)^2))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257890 = ((1*integrate((A001580+(-((-(1/((2*x)-1)))+(-(1/(x-1)))+(-(3/(x-1)^2)))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257890 = (((1/6)*differential((A001580+(-((-(1/((2*x)-1)))+(-(1/(x-1)))+(-(3/(x-1)^2)))))))+(1/(x-1)^2)+(1/(x-1)^6))
A248088 = (((1/6)*differential((A001585+(-((1/(x-1))+(7/(x-1)^2)+(12/(x-1)^3)+(6/(x-1)^4))))))+(((1/6)*((2*x)+1))/((3*x^2)+(2*x)+1))+(-(1/3/((3*x)-1))))
A257890 = (((-1)*differential((A001585+(-((-(1/((3*x)-1)))+(7/(x-1)^2)+(12/(x-1)^3)+(6/(x-1)^4))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257890 = (((1/7)*(A001585+(-((-(1/((3*x)-1)))+(1/(x-1))+(12/(x-1)^3)+(6/(x-1)^4)))))+(1/(x-1)^4)+(1/(x-1)^6))
A257464 = (((1/48)*differential((A001585+(-((-(1/((3*x)-1)))+(1/(x-1))+(12/(x-1)^3)+(6/(x-1)^4))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257464 = (((-(7/288))*(A001585+(-((-(1/((3*x)-1)))+(1/(x-1))+(7/(x-1)^2)+(6/(x-1)^4)))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257890 = (((-(1/6))*integrate((A001585+(-((-(1/((3*x)-1)))+(1/(x-1))+(7/(x-1)^2)+(6/(x-1)^4))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257890 = (((-(1/36))*differential((A001585+(-((-(1/((3*x)-1)))+(1/(x-1))+(7/(x-1)^2)+(6/(x-1)^4))))))+(1/(x-1)^2)+(1/(x-1)^6))
A257890 = (((1/6)*(A001585+(-((-(1/((3*x)-1)))+(1/(x-1))+(7/(x-1)^2)+(12/(x-1)^3)))))+(1/(x-1)^2)+(1/(x-1)^6))
A257464 = (((7/48)*integrate((A001585+(-((-(1/((3*x)-1)))+(1/(x-1))+(7/(x-1)^2)+(12/(x-1)^3))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257464 = (((1/48)*differential((A001585+(-((-(1/((3*x)-1)))+(1/(x-1))+(7/(x-1)^2)+(12/(x-1)^3))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(7/24/(x-1)^3))+(-(1/2/(x-1)^4)))
A241874 = (((5/216)*differential((A001589+(-((-(1/(x-1)))+(-(15/(x-1)^2))+(-(50/(x-1)^3))+(-(60/(x-1)^4))+(-(24/(x-1)^5)))))))+(-(4/125/((6*x)-1)))+(-(-(-(9/160/((5*x)-1)))))+(-(-(-(1/24/((4*x)-1)))))+(-(-(5/288/((3*x)-1))))+(-(-(3/32/((2*x)-1))))+(-(-(593/6000/(x-1))))+(-(-(3/80/((5*x)-1)^2)))+(-(-(13/144/((3*x)-1)^2)))+(-(1/16/((2*x)-1)^2))+(-(923/10800/(x-1)^2))+(-(1/24/((4*x)-1)^3))+(-(17/144/((3*x)-1)^3))+(-(1/16/((2*x)-1)^3))+(-(19/720/(x-1)^3))+(-(1/24/((3*x)-1)^4))+(-(3/32/((2*x)-1)^4))+(-(1/32/((2*x)-1)^5))+(-(3/160)))
A257890 = ((1*differential((A001589+(-((-(1/((4*x)-1)))+(-(15/(x-1)^2))+(-(50/(x-1)^3))+(-(60/(x-1)^4))+(-(24/(x-1)^5)))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257890 = (((-(1/15))*(A001589+(-((-(1/((4*x)-1)))+(-(1/(x-1)))+(-(50/(x-1)^3))+(-(60/(x-1)^4))+(-(24/(x-1)^5))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257464 = (((-(7/720))*differential((A001589+(-((-(1/((4*x)-1)))+(-(1/(x-1)))+(-(50/(x-1)^3))+(-(60/(x-1)^4))+(-(24/(x-1)^5)))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257464 = (((7/1200)*(A001589+(-((-(1/((4*x)-1)))+(-(1/(x-1)))+(-(15/(x-1)^2))+(-(60/(x-1)^4))+(-(24/(x-1)^5))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257890 = (((1/25)*integrate((A001589+(-((-(1/((4*x)-1)))+(-(1/(x-1)))+(-(15/(x-1)^2))+(-(60/(x-1)^4))+(-(24/(x-1)^5)))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257890 = (((1/150)*differential((A001589+(-((-(1/((4*x)-1)))+(-(1/(x-1)))+(-(15/(x-1)^2))+(-(60/(x-1)^4))+(-(24/(x-1)^5)))))))+(1/(x-1)^2)+(1/(x-1)^6))
A257890 = (((-(1/60))*(A001589+(-((-(1/((4*x)-1)))+(-(1/(x-1)))+(-(15/(x-1)^2))+(-(50/(x-1)^3))+(-(24/(x-1)^5))))))+(1/(x-1)^2)+(1/(x-1)^6))
A257464 = (((-(7/480))*integrate((A001589+(-((-(1/((4*x)-1)))+(-(1/(x-1)))+(-(15/(x-1)^2))+(-(50/(x-1)^3))+(-(24/(x-1)^5)))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257464 = (((-(1/480))*differential((A001589+(-((-(1/((4*x)-1)))+(-(1/(x-1)))+(-(15/(x-1)^2))+(-(50/(x-1)^3))+(-(24/(x-1)^5)))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(7/24/(x-1)^3))+(-(1/2/(x-1)^4)))
A257464 = (((1/48)*(A001589+(-((-(1/((4*x)-1)))+(-(1/(x-1)))+(-(15/(x-1)^2))+(-(50/(x-1)^3))+(-(60/(x-1)^4))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(7/24/(x-1)^3))+(-(1/2/(x-1)^4)))
A257890 = (((1/6)*integrate((A001589+(-((-(1/((4*x)-1)))+(-(1/(x-1)))+(-(15/(x-1)^2))+(-(50/(x-1)^3))+(-(60/(x-1)^4)))))))+(1/(x-1)^2)+(1/(x-1)^6))
A257890 = (((1/120)*differential((A001589+(-((-(1/((4*x)-1)))+(-(1/(x-1)))+(-(15/(x-1)^2))+(-(50/(x-1)^3))+(-(60/(x-1)^4)))))))+(1/(x-1)^2)+(1/(x-1)^4))
A006980 = (((-(1/x^4))*A001591)+(-(1/((x^6+x^5+x^4+x^3+x^2+x)-1))))
A241874 = (((3/400)*differential((A001593+(-((1/(x-1))+(31/(x-1)^2)+(180/(x-1)^3)+(390/(x-1)^4)+(360/(x-1)^5)+(120/(x-1)^6))))))+(-(4/125/((6*x)-1)))+(-(-(-(9/160/((5*x)-1)))))+(-(-(-(1/24/((4*x)-1)))))+(-(-(5/288/((3*x)-1))))+(-(-(3/32/((2*x)-1))))+(-(-(593/6000/(x-1))))+(-(-(5/54/((4*x)-1)^2)))+(-(-(13/144/((3*x)-1)^2)))+(-(1/16/((2*x)-1)^2))+(-(923/10800/(x-1)^2))+(-(1/24/((4*x)-1)^3))+(-(17/144/((3*x)-1)^3))+(-(1/16/((2*x)-1)^3))+(-(19/720/(x-1)^3))+(-(1/24/((3*x)-1)^4))+(-(3/32/((2*x)-1)^4))+(-(1/32/((2*x)-1)^5))+(-(3/160)))
A257890 = (((-1)*differential((A001593+(-((-(1/((5*x)-1)))+(31/(x-1)^2)+(180/(x-1)^3)+(390/(x-1)^4)+(360/(x-1)^5)+(120/(x-1)^6))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257890 = (((1/31)*(A001593+(-((-(1/((5*x)-1)))+(1/(x-1))+(180/(x-1)^3)+(390/(x-1)^4)+(360/(x-1)^5)+(120/(x-1)^6)))))+(1/(x-1)^4)+(1/(x-1)^6))
A257464 = (((7/1488)*differential((A001593+(-((-(1/((5*x)-1)))+(1/(x-1))+(180/(x-1)^3)+(390/(x-1)^4)+(360/(x-1)^5)+(120/(x-1)^6))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257464 = (((-(7/4320))*(A001593+(-((-(1/((5*x)-1)))+(1/(x-1))+(31/(x-1)^2)+(390/(x-1)^4)+(360/(x-1)^5)+(120/(x-1)^6)))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257890 = (((-(1/90))*integrate((A001593+(-((-(1/((5*x)-1)))+(1/(x-1))+(31/(x-1)^2)+(390/(x-1)^4)+(360/(x-1)^5)+(120/(x-1)^6))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257890 = (((-(1/540))*differential((A001593+(-((-(1/((5*x)-1)))+(1/(x-1))+(31/(x-1)^2)+(390/(x-1)^4)+(360/(x-1)^5)+(120/(x-1)^6))))))+(1/(x-1)^2)+(1/(x-1)^6))
A257890 = (((1/390)*(A001593+(-((-(1/((5*x)-1)))+(1/(x-1))+(31/(x-1)^2)+(180/(x-1)^3)+(360/(x-1)^5)+(120/(x-1)^6)))))+(1/(x-1)^2)+(1/(x-1)^6))
A257464 = (((7/3120)*integrate((A001593+(-((-(1/((5*x)-1)))+(1/(x-1))+(31/(x-1)^2)+(180/(x-1)^3)+(360/(x-1)^5)+(120/(x-1)^6))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257464 = (((1/3120)*differential((A001593+(-((-(1/((5*x)-1)))+(1/(x-1))+(31/(x-1)^2)+(180/(x-1)^3)+(360/(x-1)^5)+(120/(x-1)^6))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(7/24/(x-1)^3))+(-(1/2/(x-1)^4)))
A257464 = (((-(1/720))*(A001593+(-((-(1/((5*x)-1)))+(1/(x-1))+(31/(x-1)^2)+(180/(x-1)^3)+(390/(x-1)^4)+(120/(x-1)^6)))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(7/24/(x-1)^3))+(-(1/2/(x-1)^4)))
A257890 = (((-(1/90))*integrate((A001593+(-((-(1/((5*x)-1)))+(1/(x-1))+(31/(x-1)^2)+(180/(x-1)^3)+(390/(x-1)^4)+(120/(x-1)^6))))))+(1/(x-1)^2)+(1/(x-1)^6))
A257890 = (((-(1/1800))*differential((A001593+(-((-(1/((5*x)-1)))+(1/(x-1))+(31/(x-1)^2)+(180/(x-1)^3)+(390/(x-1)^4)+(120/(x-1)^6))))))+(1/(x-1)^2)+(1/(x-1)^4))
A257890 = (((1/120)*(A001593+(-((-(1/((5*x)-1)))+(1/(x-1))+(31/(x-1)^2)+(180/(x-1)^3)+(390/(x-1)^4)+(360/(x-1)^5)))))+(1/(x-1)^2)+(1/(x-1)^4))
A257464 = (((1/48)*integrate((A001593+(-((-(1/((5*x)-1)))+(1/(x-1))+(31/(x-1)^2)+(180/(x-1)^3)+(390/(x-1)^4)+(360/(x-1)^5))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(7/24/(x-1)^3))+(-(1/2/(x-1)^4)))
A257201 = (((-(1/360))*differential((A001593+(-((-(1/((5*x)-1)))+(1/(x-1))+(31/(x-1)^2)+(180/(x-1)^3)+(390/(x-1)^4)+(360/(x-1)^5))))))+(1/(x-1)^5)+(2/(x-1)^6)+(1/(x-1)^8))
A229689 = (((-(1/9))*differential((A001594+(-((-(1/(x-1)))+(-(63/(x-1)^2))+(-(602/(x-1)^3))+(-(2100/(x-1)^4))+(-(3360/(x-1)^5))+(-(2520/(x-1)^6))+(-(720/(x-1)^7)))))))+((1/2)*x)+(-(13/36/((6*x)-1)))+(-(16/27/((6*x)-1)^3))+(47/108))
A257890 = ((1*differential((A001594+(-((-(1/((6*x)-1)))+(-(63/(x-1)^2))+(-(602/(x-1)^3))+(-(2100/(x-1)^4))+(-(3360/(x-1)^5))+(-(2520/(x-1)^6))+(-(720/(x-1)^7)))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257890 = (((-(1/63))*(A001594+(-((-(1/((6*x)-1)))+(-(1/(x-1)))+(-(602/(x-1)^3))+(-(2100/(x-1)^4))+(-(3360/(x-1)^5))+(-(2520/(x-1)^6))+(-(720/(x-1)^7))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257464 = (((-(1/432))*differential((A001594+(-((-(1/((6*x)-1)))+(-(1/(x-1)))+(-(602/(x-1)^3))+(-(2100/(x-1)^4))+(-(3360/(x-1)^5))+(-(2520/(x-1)^6))+(-(720/(x-1)^7)))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257464 = (((1/2064)*(A001594+(-((-(1/((6*x)-1)))+(-(1/(x-1)))+(-(63/(x-1)^2))+(-(2100/(x-1)^4))+(-(3360/(x-1)^5))+(-(2520/(x-1)^6))+(-(720/(x-1)^7))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257890 = (((1/301)*integrate((A001594+(-((-(1/((6*x)-1)))+(-(1/(x-1)))+(-(63/(x-1)^2))+(-(2100/(x-1)^4))+(-(3360/(x-1)^5))+(-(2520/(x-1)^6))+(-(720/(x-1)^7)))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257890 = (((1/1806)*differential((A001594+(-((-(1/((6*x)-1)))+(-(1/(x-1)))+(-(63/(x-1)^2))+(-(2100/(x-1)^4))+(-(3360/(x-1)^5))+(-(2520/(x-1)^6))+(-(720/(x-1)^7)))))))+(1/(x-1)^2)+(1/(x-1)^6))
A257890 = (((-(1/2100))*(A001594+(-((-(1/((6*x)-1)))+(-(1/(x-1)))+(-(63/(x-1)^2))+(-(602/(x-1)^3))+(-(3360/(x-1)^5))+(-(2520/(x-1)^6))+(-(720/(x-1)^7))))))+(1/(x-1)^2)+(1/(x-1)^6))
A257464 = (((-(1/2400))*integrate((A001594+(-((-(1/((6*x)-1)))+(-(1/(x-1)))+(-(63/(x-1)^2))+(-(602/(x-1)^3))+(-(3360/(x-1)^5))+(-(2520/(x-1)^6))+(-(720/(x-1)^7)))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257464 = (((-(1/16800))*differential((A001594+(-((-(1/((6*x)-1)))+(-(1/(x-1)))+(-(63/(x-1)^2))+(-(602/(x-1)^3))+(-(3360/(x-1)^5))+(-(2520/(x-1)^6))+(-(720/(x-1)^7)))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(7/24/(x-1)^3))+(-(1/2/(x-1)^4)))
A257464 = (((1/6720)*(A001594+(-((-(1/((6*x)-1)))+(-(1/(x-1)))+(-(63/(x-1)^2))+(-(602/(x-1)^3))+(-(2100/(x-1)^4))+(-(2520/(x-1)^6))+(-(720/(x-1)^7))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(7/24/(x-1)^3))+(-(1/2/(x-1)^4)))
A257890 = (((1/840)*integrate((A001594+(-((-(1/((6*x)-1)))+(-(1/(x-1)))+(-(63/(x-1)^2))+(-(602/(x-1)^3))+(-(2100/(x-1)^4))+(-(2520/(x-1)^6))+(-(720/(x-1)^7)))))))+(1/(x-1)^2)+(1/(x-1)^6))
A257890 = (((1/16800)*differential((A001594+(-((-(1/((6*x)-1)))+(-(1/(x-1)))+(-(63/(x-1)^2))+(-(602/(x-1)^3))+(-(2100/(x-1)^4))+(-(2520/(x-1)^6))+(-(720/(x-1)^7)))))))+(1/(x-1)^2)+(1/(x-1)^4))
A257890 = (((-(1/2520))*(A001594+(-((-(1/((6*x)-1)))+(-(1/(x-1)))+(-(63/(x-1)^2))+(-(602/(x-1)^3))+(-(2100/(x-1)^4))+(-(3360/(x-1)^5))+(-(720/(x-1)^7))))))+(1/(x-1)^2)+(1/(x-1)^4))
A257464 = (((-(1/1008))*integrate((A001594+(-((-(1/((6*x)-1)))+(-(1/(x-1)))+(-(63/(x-1)^2))+(-(602/(x-1)^3))+(-(2100/(x-1)^4))+(-(3360/(x-1)^5))+(-(720/(x-1)^7)))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(7/24/(x-1)^3))+(-(1/2/(x-1)^4)))
A257201 = (((1/7560)*differential((A001594+(-((-(1/((6*x)-1)))+(-(1/(x-1)))+(-(63/(x-1)^2))+(-(602/(x-1)^3))+(-(2100/(x-1)^4))+(-(3360/(x-1)^5))+(-(720/(x-1)^7)))))))+(1/(x-1)^5)+(2/(x-1)^6)+(1/(x-1)^8))
A257201 = (((-(1/360))*(A001594+(-((-(1/((6*x)-1)))+(-(1/(x-1)))+(-(63/(x-1)^2))+(-(602/(x-1)^3))+(-(2100/(x-1)^4))+(-(3360/(x-1)^5))+(-(2520/(x-1)^6))))))+(1/(x-1)^5)+(2/(x-1)^6)+(1/(x-1)^8))
A257890 = (((1/120)*integrate((A001594+(-((-(1/((6*x)-1)))+(-(1/(x-1)))+(-(63/(x-1)^2))+(-(602/(x-1)^3))+(-(2100/(x-1)^4))+(-(3360/(x-1)^5))+(-(2520/(x-1)^6)))))))+(1/(x-1)^2)+(1/(x-1)^4))
A257201 = (((1/5040)*differential((A001594+(-((-(1/((6*x)-1)))+(-(1/(x-1)))+(-(63/(x-1)^2))+(-(602/(x-1)^3))+(-(2100/(x-1)^4))+(-(3360/(x-1)^5))+(-(2520/(x-1)^6)))))))+(1/(x-1)^5)+(2/(x-1)^6)+(2/(x-1)^7))
A255978 = ((x*(A001595+(-(1/(x-1)))))+(((1/3)*(x+2))/(x^2+x+1))+(2/3/(x-1)))
A213589 = (((-(1/2))*differential((A001595+(-(1/(x-1))))))+(-(((2*x)+1)/((x^2+x)-1)^3)))
A257890 = (((-1)*differential((A001595+(-(-(2/((x^2+x)-1)))))))+(1/(x-1)^4)+(1/(x-1)^6))
A113726 = (((1/2/x)*A001607)+(-(1/3/((2*x)-1)))+(1/6/(x+1)))
A257890 = (((-1)*differential((A001610+(-(-(((2*x)+1)/((x^2+x)-1)))))))+(1/(x-1)^4)+(1/(x-1)^6))
A255978 = ((2*(A001611+(-(-(1/(x-1))))))+(((1/3)*(x+2))/(x^2+x+1))+(2/3/(x-1)))
A257890 = ((1*differential((A001611+(-(-(x/((x^2+x)-1)))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257890 = ((1*differential((A001612+(-((x-2)/((x^2+x)-1))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257890 = (((-(1/2))*(A001621+(-((-(8/(x-1)^3))+(-(12/(x-1)^4))+(-(6/(x-1)^5))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257464 = (((-(7/96))*differential((A001621+(-((-(8/(x-1)^3))+(-(12/(x-1)^4))+(-(6/(x-1)^5)))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257464 = (((7/192)*(A001621+(-((-(2/(x-1)^2))+(-(12/(x-1)^4))+(-(6/(x-1)^5))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257890 = (((1/4)*integrate((A001621+(-((-(2/(x-1)^2))+(-(12/(x-1)^4))+(-(6/(x-1)^5)))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257890 = (((1/24)*differential((A001621+(-((-(2/(x-1)^2))+(-(12/(x-1)^4))+(-(6/(x-1)^5)))))))+(1/(x-1)^2)+(1/(x-1)^6))
A257890 = (((-(1/12))*(A001621+(-((-(2/(x-1)^2))+(-(8/(x-1)^3))+(-(6/(x-1)^5))))))+(1/(x-1)^2)+(1/(x-1)^6))
A257464 = (((-(7/96))*integrate((A001621+(-((-(2/(x-1)^2))+(-(8/(x-1)^3))+(-(6/(x-1)^5)))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257464 = (((-(1/96))*differential((A001621+(-((-(2/(x-1)^2))+(-(8/(x-1)^3))+(-(6/(x-1)^5)))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(7/24/(x-1)^3))+(-(1/2/(x-1)^4)))
A257464 = (((1/12)*(A001621+(-((-(2/(x-1)^2))+(-(8/(x-1)^3))+(-(12/(x-1)^4))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(7/24/(x-1)^3))+(-(1/2/(x-1)^4)))
A257890 = (((2/3)*integrate((A001621+(-((-(2/(x-1)^2))+(-(8/(x-1)^3))+(-(12/(x-1)^4)))))))+(1/(x-1)^2)+(1/(x-1)^6))
A257890 = (((1/30)*differential((A001621+(-((-(2/(x-1)^2))+(-(8/(x-1)^3))+(-(12/(x-1)^4)))))))+(1/(x-1)^2)+(1/(x-1)^4))
A229731 = ((x*A001628)+(-x^3)+(-x)+(-((2*(x-1))/((x^2+x)-1)))+(-(1/((x^2+x)-1)^2))+(-1))
A060933 = (((-(64/3))*differential(A001628))+(-((240*((2*x)+1))/((x^2+x)-1)^5))+(-((300*((2*x)+1))/((x^2+x)-1)^6))+(-((125*((2*x)+1))/((x^2+x)-1)^7)))
A255978 = (((-(2*x))*(A001629+(-(-((x-1)/((x^2+x)-1)^2)))))+(((1/3)*(x+2))/(x^2+x+1))+(2/3/(x-1)))
A213589 = ((1*differential((A001629+(-(-((x-1)/((x^2+x)-1)^2))))))+(-(((2*x)+1)/((x^2+x)-1)^3)))
A192244 = ((4*(A001629+(-(1/((x^2+x)-1)))))+(-((x+2)/((x^2+x)-1)))+(-(1/(x-1)))+(-((5*((2*x)-1))/((x^2+x)-1)^3)))
A257850 = (((-(1/20))*differential((A001634+(-(-(((3*x^2)+1)/((x^3+x)-1)))))))+(((1/5)*((15*x^3)+(4*x^2)+(8*x)+9))/((((x^4-x^3)+x^2)-x)+1))+(-(-(((1/5)*((11*x^3)+(16*x^2)+(15*x)+8))/(x^4+x^3+x^2+x+1))))+(-(-(((1/2)*((2*x^3)+(2*x^2)+x))/(x^4+x^3+x^2+x+1)^2)))+(-(-(((1/2)*(((2*x^2)-x)+2))/((((x^4-x^3)+x^2)-x)+1)^2)))+(-(1/2/(x+1)))+(-(33/10/(x-1)))+(9/20/(x-1)^2))
A257850 = (((-(1/20))*differential((A001636+(-(((((2*x^3)+(4*x))-5)/((x^5+x^3+x)-1))+(-6))))))+(((1/5)*((15*x^3)+(4*x^2)+(8*x)+9))/((((x^4-x^3)+x^2)-x)+1))+(-(-(((1/5)*((11*x^3)+(16*x^2)+(15*x)+8))/(x^4+x^3+x^2+x+1))))+(-(-(((1/2)*((2*x^3)+(2*x^2)+x))/(x^4+x^3+x^2+x+1)^2)))+(-(-(((1/2)*(((2*x^2)-x)+2))/((((x^4-x^3)+x^2)-x)+1)^2)))+(-(1/2/(x+1)))+(-(33/10/(x-1)))+(9/20/(x-1)^2))
A257196 = (((1/2)*x*(A001638+(-((x-2)/((x^2+x)-1)))))+(-(x^2/(x^4+1)))+1)
A255563 = (((1/16/x)*differential((A001638+(-((x-2)/((x^2+x)-1))))))+(-(1/4/(x^2+1)))+(-(15/16/(x+1)))+(-(1/16/(x-1)))+(-(15/16/(x+1)^2))+(1/16/(x-1)^2))
A257850 = (((-(1/20))*differential((A001641+(-((-(((x^2-(4*x))+3)/(((x^3-x^2)+(2*x))-1)))+(-4))))))+(((1/5)*((15*x^3)+(4*x^2)+(8*x)+9))/((((x^4-x^3)+x^2)-x)+1))+(-(-(((1/5)*((11*x^3)+(16*x^2)+(15*x)+8))/(x^4+x^3+x^2+x+1))))+(-(-(((1/2)*((2*x^3)+(2*x^2)+x))/(x^4+x^3+x^2+x+1)^2)))+(-(-(((1/2)*(((2*x^2)-x)+2))/((((x^4-x^3)+x^2)-x)+1)^2)))+(-(1/2/(x+1)))+(-(33/10/(x-1)))+(9/20/(x-1)^2))
A257850 = (((-(1/20))*differential((A001643+(-((((x^2+(2*x))-3)/((x^3+x^2+x)-1))+(-(-((x-2)/((x^2-x)+1))))+(-6))))))+(((1/5)*((15*x^3)+(4*x^2)+(8*x)+9))/((((x^4-x^3)+x^2)-x)+1))+(-(-(((1/5)*((11*x^3)+(16*x^2)+(15*x)+8))/(x^4+x^3+x^2+x+1))))+(-(-(((1/2)*((2*x^3)+(2*x^2)+x))/(x^4+x^3+x^2+x+1)^2)))+(-(-(((1/2)*(((2*x^2)-x)+2))/((((x^4-x^3)+x^2)-x)+1)^2)))+(-(1/2/(x+1)))+(-(33/10/(x-1)))+(9/20/(x-1)^2))
A257850 = (((-(1/20))*differential((A001649+(-((-(((((x^4-(4*x^3))+(3*x^2))-(8*x))+5)/(((((x^5-x^4)+(2*x^3))-x^2)+(2*x))-1)))+(-6))))))+(((1/5)*((15*x^3)+(4*x^2)+(8*x)+9))/((((x^4-x^3)+x^2)-x)+1))+(-(-(((1/5)*((11*x^3)+(16*x^2)+(15*x)+8))/(x^4+x^3+x^2+x+1))))+(-(-(((1/2)*((2*x^3)+(2*x^2)+x))/(x^4+x^3+x^2+x+1)^2)))+(-(-(((1/2)*(((2*x^2)-x)+2))/((((x^4-x^3)+x^2)-x)+1)^2)))+(-(1/2/(x+1)))+(-(33/10/(x-1)))+(9/20/(x-1)^2))
A257850 = (((-(1/5))*differential((A001651+(-((9/4/(x-1))+(3/2/(x-1)^2)+1)))))+(((1/5)*((15*x^3)+(4*x^2)+(8*x)+9))/((((x^4-x^3)+x^2)-x)+1))+(-(-(((1/5)*((11*x^3)+(16*x^2)+(15*x)+8))/(x^4+x^3+x^2+x+1))))+(-(-(((1/2)*((2*x^3)+(2*x^2)+x))/(x^4+x^3+x^2+x+1)^2)))+(-(-(((1/2)*(((2*x^2)-x)+2))/((((x^4-x^3)+x^2)-x)+1)^2)))+(-(1/2/(x+1)))+(-(33/10/(x-1)))+(9/20/(x-1)^2))
A257890 = (((-(4/9))*differential((A001651+(-((-(1/4/(x+1)))+(3/2/(x-1)^2)+1)))))+(1/(x-1)^4)+(1/(x-1)^6))
A257890 = (((2/3)*(A001651+(-((-(1/4/(x+1)))+(9/4/(x-1))+1))))+(1/(x-1)^4)+(1/(x-1)^6))
A257464 = (((7/72)*differential((A001651+(-((-(1/4/(x+1)))+(9/4/(x-1))+1)))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A245926 = (((2*sqrt(2)*sqrt((-((x-sqrt(((x^2-(14*x))+1))-1)/((x^2-(14*x))+1)))))/((sqrt(2)*log(((x-(2*sqrt(2))-3)/((x+(2*sqrt(2)))-3))))+log(((x^2-(6*x))+1))))*integrate((A001652+(-(1/2/(x-1))))))
A257890 = (((-2)*differential((A001652+(-(((1/2)*(x+1))/((x^2-(6*x))+1))))))+(1/(x-1)^4)+(1/(x-1)^6))
A245926 = ((-((2*sqrt(2)*sqrt((-((x-sqrt(((x^2-(14*x))+1))-1)/((x^2-(14*x))+1)))))/((7*sqrt(2)*log(((x-(2*sqrt(2))-3)/((x+(2*sqrt(2)))-3))))+(10*log(((x^2-(6*x))+1))))))*integrate((A001653+(-(-1)))))
A257850 = (((-(1/4))*differential((A001654+(-(((1/5)*(x+1))/((x^2-(3*x))+1))))))+(((1/5)*((15*x^3)+(4*x^2)+(8*x)+9))/((((x^4-x^3)+x^2)-x)+1))+(-(-(((1/5)*((11*x^3)+(16*x^2)+(15*x)+8))/(x^4+x^3+x^2+x+1))))+(-(-(((1/2)*((2*x^3)+(2*x^2)+x))/(x^4+x^3+x^2+x+1)^2)))+(-(-(((1/2)*(((2*x^2)-x)+2))/((((x^4-x^3)+x^2)-x)+1)^2)))+(-(1/2/(x+1)))+(-(33/10/(x-1)))+(9/20/(x-1)^2))
A257890 = (((-25)*differential((A001656+(-((-(((1/50)*((6*x)-41))/((x^2-(7*x))+1)))+(((1/50)*((4*x)+11))/(x^2+(3*x)+1)))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257850 = (((-25)*differential((A001658+(-((-(((1/7500)*((341*x)-6119))/((x^2-(18*x))+1)))+(-(((1/1250)*((41*x)+281))/(x^2+(7*x)+1)))+(-(((1/750)*((11*x)-29))/((x^2-(3*x))+1))))))))+(((1/5)*((15*x^3)+(4*x^2)+(8*x)+9))/((((x^4-x^3)+x^2)-x)+1))+(-(-(((1/5)*((11*x^3)+(16*x^2)+(15*x)+8))/(x^4+x^3+x^2+x+1))))+(-(-(((1/2)*((2*x^3)+(2*x^2)+x))/(x^4+x^3+x^2+x+1)^2)))+(-(-(((1/2)*(((2*x^2)-x)+2))/((((x^4-x^3)+x^2)-x)+1)^2)))+(-(1/2/(x+1)))+(-(33/10/(x-1)))+(9/20/(x-1)^2))
A228571 = (((1/2/x)*A001687)+(-(((1/2)*(x^5+x^2+1))/((x^10+x^4)-1))))
A257850 = (((8/5)*differential((A001752+(-((-(-(-(1/32/(x-1)))))+(-(-(1/16/(x-1)^2)))+(-(-(1/8/(x-1)^3)))+(-(1/4/(x-1)^4))+(-(1/2/(x-1)^5)))))))+(((1/5)*((15*x^3)+(4*x^2)+(8*x)+9))/((((x^4-x^3)+x^2)-x)+1))+(-(-(((1/5)*((11*x^3)+(16*x^2)+(15*x)+8))/(x^4+x^3+x^2+x+1))))+(-(-(((1/2)*((2*x^3)+(2*x^2)+x))/(x^4+x^3+x^2+x+1)^2)))+(-(-(((1/2)*(((2*x^2)-x)+2))/((((x^4-x^3)+x^2)-x)+1)^2)))+(-(1/2/(x+1)))+(-(33/10/(x-1)))+(9/20/(x-1)^2))
A257890 = ((32*differential((A001752+(-((1/32/(x+1))+(-(-(1/16/(x-1)^2)))+(-(-(1/8/(x-1)^3)))+(-(1/4/(x-1)^4))+(-(1/2/(x-1)^5)))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257890 = ((16*(A001752+(-((1/32/(x+1))+(-(-(-(1/32/(x-1)))))+(-(-(1/8/(x-1)^3)))+(-(1/4/(x-1)^4))+(-(1/2/(x-1)^5))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257464 = (((7/3)*differential((A001752+(-((1/32/(x+1))+(-(-(-(1/32/(x-1)))))+(-(-(1/8/(x-1)^3)))+(-(1/4/(x-1)^4))+(-(1/2/(x-1)^5)))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257464 = (((-(7/3))*(A001752+(-((1/32/(x+1))+(-(-(-(1/32/(x-1)))))+(-(-(1/16/(x-1)^2)))+(-(1/4/(x-1)^4))+(-(1/2/(x-1)^5))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257890 = (((-16)*integrate((A001752+(-((1/32/(x+1))+(-(-(-(1/32/(x-1)))))+(-(-(1/16/(x-1)^2)))+(-(1/4/(x-1)^4))+(-(1/2/(x-1)^5)))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257890 = (((-(8/3))*differential((A001752+(-((1/32/(x+1))+(-(-(-(1/32/(x-1)))))+(-(-(1/16/(x-1)^2)))+(-(1/4/(x-1)^4))+(-(1/2/(x-1)^5)))))))+(1/(x-1)^2)+(1/(x-1)^6))
A257890 = (((-4)*(A001752+(-((1/32/(x+1))+(-(-(-(1/32/(x-1)))))+(-(-(1/16/(x-1)^2)))+(-(-(1/8/(x-1)^3)))+(-(1/2/(x-1)^5))))))+(1/(x-1)^2)+(1/(x-1)^6))
A257464 = (((-(7/2))*integrate((A001752+(-((1/32/(x+1))+(-(-(-(1/32/(x-1)))))+(-(-(1/16/(x-1)^2)))+(-(-(1/8/(x-1)^3)))+(-(1/2/(x-1)^5)))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257464 = (((-(1/2))*differential((A001752+(-((1/32/(x+1))+(-(-(-(1/32/(x-1)))))+(-(-(1/16/(x-1)^2)))+(-(-(1/8/(x-1)^3)))+(-(1/2/(x-1)^5)))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(7/24/(x-1)^3))+(-(1/2/(x-1)^4)))
A257464 = ((1*(A001752+(-((1/32/(x+1))+(-(-(-(1/32/(x-1)))))+(-(-(1/16/(x-1)^2)))+(-(-(1/8/(x-1)^3)))+(-(1/4/(x-1)^4))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(7/24/(x-1)^3))+(-(1/2/(x-1)^4)))
A257890 = ((8*integrate((A001752+(-((1/32/(x+1))+(-(-(-(1/32/(x-1)))))+(-(-(1/16/(x-1)^2)))+(-(-(1/8/(x-1)^3)))+(-(1/4/(x-1)^4)))))))+(1/(x-1)^2)+(1/(x-1)^6))
A257890 = (((2/5)*differential((A001752+(-((1/32/(x+1))+(-(-(-(1/32/(x-1)))))+(-(-(1/16/(x-1)^2)))+(-(-(1/8/(x-1)^3)))+(-(1/4/(x-1)^4)))))))+(1/(x-1)^2)+(1/(x-1)^4))
A248917 = ((3*differential((A001787+(-(1/2/((2*x)-1)^2)))))+(-(1/((2*x)-1)))+(-(1/(x-1)))+(-(2/((2*x)-1)^3)))
A248917 = (((-6)*(A001787+(-(1/2/((2*x)-1)))))+(-(1/((2*x)-1)))+(-(1/(x-1)))+(-(2/((2*x)-1)^3)))
A248917 = ((1*differential((A001787+(-(1/2/((2*x)-1))))))+(-(1/((2*x)-1)))+(-(1/(x-1)))+(-(3/((2*x)-1)^2)))
A248917 = ((3*differential((A001787+(-(1/2/((2*x)-1)^2)))))+(-(1/((2*x)-1)))+(-(1/(x-1)))+(-(2/((2*x)-1)^3)))
A248917 = (((-6)*(A001787+(-(1/2/((2*x)-1)))))+(-(1/((2*x)-1)))+(-(1/(x-1)))+(-(2/((2*x)-1)^3)))
A248917 = ((1*differential((A001787+(-(1/2/((2*x)-1))))))+(-(1/((2*x)-1)))+(-(1/(x-1)))+(-(3/((2*x)-1)^2)))
A248917 = ((6*(A001788+(-(-(1/2/((2*x)-1)^3)))))+(-(1/((2*x)-1)))+(-(1/(x-1)))+(-(2/((2*x)-1)^3)))
A248917 = (((-1)*differential((A001788+(-(-(1/2/((2*x)-1)^3))))))+(-(1/((2*x)-1)))+(-(1/(x-1)))+(-(3/((2*x)-1)^2)))
A248917 = ((4*(A001788+(-(-(1/2/((2*x)-1)^2)))))+(-(1/((2*x)-1)))+(-(1/(x-1)))+(-(3/((2*x)-1)^2)))
A248917 = (((-24)*integrate((A001788+(-(-(1/2/((2*x)-1)^2))))))+(-(1/((2*x)-1)))+(-(1/(x-1)))+(-(2/((2*x)-1)^3)))
A241874 = (((-(1/32))*differential((A001788+(-(-(1/2/((2*x)-1)^2))))))+(-(4/125/((6*x)-1)))+(-(-(-(9/160/((5*x)-1)))))+(-(-(-(1/24/((4*x)-1)))))+(-(-(5/288/((3*x)-1))))+(-(-(3/32/((2*x)-1))))+(-(-(593/6000/(x-1))))+(-(-(3/80/((5*x)-1)^2)))+(-(-(5/54/((4*x)-1)^2)))+(-(-(13/144/((3*x)-1)^2)))+(-(1/16/((2*x)-1)^2))+(-(923/10800/(x-1)^2))+(-(1/24/((4*x)-1)^3))+(-(17/144/((3*x)-1)^3))+(-(1/16/((2*x)-1)^3))+(-(19/720/(x-1)^3))+(-(1/24/((3*x)-1)^4))+(-(1/32/((2*x)-1)^5))+(-(3/160)))
A248917 = (((-3)*differential((A001792+(-(1/2/((2*x)-1)^2)))))+(-(1/((2*x)-1)))+(-(1/(x-1)))+(-(2/((2*x)-1)^3)))
A248917 = (((-6)*(A001792+(-(-(1/2/((2*x)-1))))))+(-(1/((2*x)-1)))+(-(1/(x-1)))+(-(2/((2*x)-1)^3)))
A248917 = ((1*differential((A001792+(-(-(1/2/((2*x)-1)))))))+(-(1/((2*x)-1)))+(-(1/(x-1)))+(-(3/((2*x)-1)^2)))
A248917 = ((6*differential((A001793+(-(-(1/4/((2*x)-1)^3))))))+(-(1/((2*x)-1)))+(-(1/(x-1)))+(-(2/((2*x)-1)^3)))
A248917 = ((8*(A001793+(-(1/4/((2*x)-1)))))+(-(1/((2*x)-1)))+(-(1/(x-1)))+(-(3/((2*x)-1)^2)))
A248917 = (((-48)*integrate((A001793+(-(1/4/((2*x)-1))))))+(-(1/((2*x)-1)))+(-(1/(x-1)))+(-(2/((2*x)-1)^3)))
A241874 = (((-(1/16))*differential((A001793+(-(1/4/((2*x)-1))))))+(-(4/125/((6*x)-1)))+(-(-(-(9/160/((5*x)-1)))))+(-(-(-(1/24/((4*x)-1)))))+(-(-(5/288/((3*x)-1))))+(-(-(3/32/((2*x)-1))))+(-(-(593/6000/(x-1))))+(-(-(3/80/((5*x)-1)^2)))+(-(-(5/54/((4*x)-1)^2)))+(-(-(13/144/((3*x)-1)^2)))+(-(1/16/((2*x)-1)^2))+(-(923/10800/(x-1)^2))+(-(1/24/((4*x)-1)^3))+(-(17/144/((3*x)-1)^3))+(-(1/16/((2*x)-1)^3))+(-(19/720/(x-1)^3))+(-(1/24/((3*x)-1)^4))+(-(1/32/((2*x)-1)^5))+(-(3/160)))
A248917 = ((4*(A001794+(-(1/2/((2*x)-1)^4))))+(-(1/((2*x)-1)))+(-(1/(x-1)))+(-(3/((2*x)-1)^2)))
A248917 = (((-24)*integrate((A001794+(-(1/2/((2*x)-1)^4)))))+(-(1/((2*x)-1)))+(-(1/(x-1)))+(-(2/((2*x)-1)^3)))
A241874 = (((-(1/32))*differential((A001794+(-(1/2/((2*x)-1)^4)))))+(-(4/125/((6*x)-1)))+(-(-(-(9/160/((5*x)-1)))))+(-(-(-(1/24/((4*x)-1)))))+(-(-(5/288/((3*x)-1))))+(-(-(3/32/((2*x)-1))))+(-(-(593/6000/(x-1))))+(-(-(3/80/((5*x)-1)^2)))+(-(-(5/54/((4*x)-1)^2)))+(-(-(13/144/((3*x)-1)^2)))+(-(1/16/((2*x)-1)^2))+(-(923/10800/(x-1)^2))+(-(1/24/((4*x)-1)^3))+(-(17/144/((3*x)-1)^3))+(-(1/16/((2*x)-1)^3))+(-(19/720/(x-1)^3))+(-(1/24/((3*x)-1)^4))+(-(1/32/((2*x)-1)^5))+(-(3/160)))
A241874 = (((-(3/16))*(A001794+(-(-(1/2/((2*x)-1)^3)))))+(-(4/125/((6*x)-1)))+(-(-(-(9/160/((5*x)-1)))))+(-(-(-(1/24/((4*x)-1)))))+(-(-(5/288/((3*x)-1))))+(-(-(3/32/((2*x)-1))))+(-(-(593/6000/(x-1))))+(-(-(3/80/((5*x)-1)^2)))+(-(-(5/54/((4*x)-1)^2)))+(-(-(13/144/((3*x)-1)^2)))+(-(1/16/((2*x)-1)^2))+(-(923/10800/(x-1)^2))+(-(1/24/((4*x)-1)^3))+(-(17/144/((3*x)-1)^3))+(-(1/16/((2*x)-1)^3))+(-(19/720/(x-1)^3))+(-(1/24/((3*x)-1)^4))+(-(1/32/((2*x)-1)^5))+(-(3/160)))
A248917 = ((24*integrate((A001794+(-(-(1/2/((2*x)-1)^3))))))+(-(1/((2*x)-1)))+(-(1/(x-1)))+(-(3/((2*x)-1)^2)))
A241874 = (((1/128)*differential((A001794+(-(-(1/2/((2*x)-1)^3))))))+(-(4/125/((6*x)-1)))+(-(-(-(9/160/((5*x)-1)))))+(-(-(-(1/24/((4*x)-1)))))+(-(-(5/288/((3*x)-1))))+(-(-(3/32/((2*x)-1))))+(-(-(593/6000/(x-1))))+(-(-(3/80/((5*x)-1)^2)))+(-(-(5/54/((4*x)-1)^2)))+(-(-(13/144/((3*x)-1)^2)))+(-(1/16/((2*x)-1)^2))+(-(923/10800/(x-1)^2))+(-(1/24/((4*x)-1)^3))+(-(17/144/((3*x)-1)^3))+(-(1/16/((2*x)-1)^3))+(-(19/720/(x-1)^3))+(-(1/24/((3*x)-1)^4))+(-(3/32/((2*x)-1)^4))+(-(3/160)))
A248917 = (((-3)*differential((A001815+(-((-(1/((2*x)-1)^2))+(-(1/2/((2*x)-1)^3)))))))+(-(1/((2*x)-1)))+(-(1/(x-1)))+(-(2/((2*x)-1)^3)))
A248917 = ((3*(A001815+(-((-(1/2/((2*x)-1)))+(-(1/2/((2*x)-1)^3))))))+(-(1/((2*x)-1)))+(-(1/(x-1)))+(-(2/((2*x)-1)^3)))
A248917 = (((-(1/2))*differential((A001815+(-((-(1/2/((2*x)-1)))+(-(1/2/((2*x)-1)^3)))))))+(-(1/((2*x)-1)))+(-(1/(x-1)))+(-(3/((2*x)-1)^2)))
A248917 = ((4*(A001815+(-((-(1/2/((2*x)-1)))+(-(1/((2*x)-1)^2))))))+(-(1/((2*x)-1)))+(-(1/(x-1)))+(-(3/((2*x)-1)^2)))
A248917 = (((-24)*integrate((A001815+(-((-(1/2/((2*x)-1)))+(-(1/((2*x)-1)^2)))))))+(-(1/((2*x)-1)))+(-(1/(x-1)))+(-(2/((2*x)-1)^3)))
A241874 = (((-(1/32))*differential((A001815+(-((-(1/2/((2*x)-1)))+(-(1/((2*x)-1)^2)))))))+(-(4/125/((6*x)-1)))+(-(-(-(9/160/((5*x)-1)))))+(-(-(-(1/24/((4*x)-1)))))+(-(-(5/288/((3*x)-1))))+(-(-(3/32/((2*x)-1))))+(-(-(593/6000/(x-1))))+(-(-(3/80/((5*x)-1)^2)))+(-(-(5/54/((4*x)-1)^2)))+(-(-(13/144/((3*x)-1)^2)))+(-(1/16/((2*x)-1)^2))+(-(923/10800/(x-1)^2))+(-(1/24/((4*x)-1)^3))+(-(17/144/((3*x)-1)^3))+(-(1/16/((2*x)-1)^3))+(-(19/720/(x-1)^3))+(-(1/24/((3*x)-1)^4))+(-(1/32/((2*x)-1)^5))+(-(3/160)))
A241874 = (((1/384)*A001816)+(-(4/125/((6*x)-1)))+(-(-(-(9/160/((5*x)-1)))))+(-(-(-(1/24/((4*x)-1)))))+(-(-(5/288/((3*x)-1))))+(-(-(3/32/((2*x)-1))))+(-(-(593/6000/(x-1))))+(-(-(3/80/((5*x)-1)^2)))+(-(-(5/54/((4*x)-1)^2)))+(-(-(13/144/((3*x)-1)^2)))+(-(1/16/((2*x)-1)^2))+(-(923/10800/(x-1)^2))+(-(1/24/((4*x)-1)^3))+(-(17/144/((3*x)-1)^3))+(-(1/16/((2*x)-1)^3))+(-(19/720/(x-1)^3))+(-(1/24/((3*x)-1)^4))+(-(3/32/((2*x)-1)^4))+(-(3/160)))
A241874 = (((-(1/16))*integrate(A001816))+(-(4/125/((6*x)-1)))+(-(-(-(9/160/((5*x)-1)))))+(-(-(-(1/24/((4*x)-1)))))+(-(-(5/288/((3*x)-1))))+(-(-(3/32/((2*x)-1))))+(-(-(593/6000/(x-1))))+(-(-(3/80/((5*x)-1)^2)))+(-(-(5/54/((4*x)-1)^2)))+(-(-(13/144/((3*x)-1)^2)))+(-(1/16/((2*x)-1)^2))+(-(923/10800/(x-1)^2))+(-(1/24/((4*x)-1)^3))+(-(17/144/((3*x)-1)^3))+(-(1/16/((2*x)-1)^3))+(-(19/720/(x-1)^3))+(-(1/24/((3*x)-1)^4))+(-(1/32/((2*x)-1)^5))+(-(3/160)))
A227714 = (((21/40)*differential(A001816))+(-(1315/2/((4*x)-1)))+(-(-(-(-(3715/2/((2*x)-1))))))+(-(-(-(1093/(x-1)))))+(-(-(-(549/2/((4*x)-1)^2))))+(-(-(-(225/((2*x)-1)^2))))+(-(-(-(514/(x-1)^2))))+(-(-(-(651/2/((4*x)-1)^3))))+(-(-(80/((2*x)-1)^3)))+(-(-(241/(x-1)^3)))+(-(-(216/((4*x)-1)^4)))+(-(27/((2*x)-1)^4))+(-(95/(x-1)^4))+(-(54/((4*x)-1)^5))+(162/((2*x)-1)^5)+(83/(x-1)^5))
A257850 = (((-(1/5))*differential((A001839+(-((((1/18)*((7*x)+5))/(x^2+x+1))+(-(((1/6)*((3*x)-1))/((x^2-x)+1)))+(-(5/36/(x-1)))+(-(1/12/(x+1)^2))+(-(3/4/(x-1)^2))+(-(1/3/(x-1)^3)))))))+(((1/5)*((15*x^3)+(4*x^2)+(8*x)+9))/((((x^4-x^3)+x^2)-x)+1))+(-(-(((1/5)*((11*x^3)+(16*x^2)+(15*x)+8))/(x^4+x^3+x^2+x+1))))+(-(-(((1/2)*((2*x^3)+(2*x^2)+x))/(x^4+x^3+x^2+x+1)^2)))+(-(-(((1/2)*(((2*x^2)-x)+2))/((((x^4-x^3)+x^2)-x)+1)^2)))+(-(1/2/(x+1)))+(-(33/10/(x-1)))+(9/20/(x-1)^2))
A257890 = (((36/5)*differential((A001839+(-((((1/18)*((7*x)+5))/(x^2+x+1))+(-(((1/6)*((3*x)-1))/((x^2-x)+1)))+(-(1/4/(x+1)))+(-(1/12/(x+1)^2))+(-(3/4/(x-1)^2))+(-(1/3/(x-1)^3)))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257850 = (((3/5)*(A001839+(-((((1/18)*((7*x)+5))/(x^2+x+1))+(-(((1/6)*((3*x)-1))/((x^2-x)+1)))+(-(1/4/(x+1)))+(-(5/36/(x-1)))+(-(3/4/(x-1)^2))+(-(1/3/(x-1)^3))))))+(((1/5)*((15*x^3)+(4*x^2)+(8*x)+9))/((((x^4-x^3)+x^2)-x)+1))+(-(-(((1/5)*((11*x^3)+(16*x^2)+(15*x)+8))/(x^4+x^3+x^2+x+1))))+(-(-(((1/2)*((2*x^3)+(2*x^2)+x))/(x^4+x^3+x^2+x+1)^2)))+(-(-(((1/2)*(((2*x^2)-x)+2))/((((x^4-x^3)+x^2)-x)+1)^2)))+(-(1/2/(x+1)))+(-(33/10/(x-1)))+(9/20/(x-1)^2))
A257171 = (((-(3/4))*differential((A001839+(-((((1/18)*((7*x)+5))/(x^2+x+1))+(-(((1/6)*((3*x)-1))/((x^2-x)+1)))+(-(1/4/(x+1)))+(-(5/36/(x-1)))+(-(3/4/(x-1)^2))+(-(1/3/(x-1)^3)))))))+(2*x)+(-(-(3/8/(x+1))))+(-(-(3/8/(x-1))))+(-(3/4/(x-1)^2))+(-(3/8/(x-1)^3))+(-(3/4/(x-1)^4))+(-1))
A257890 = (((-(4/3))*(A001839+(-((((1/18)*((7*x)+5))/(x^2+x+1))+(-(((1/6)*((3*x)-1))/((x^2-x)+1)))+(-(1/4/(x+1)))+(-(5/36/(x-1)))+(-(1/12/(x+1)^2))+(-(1/3/(x-1)^3))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257464 = (((-(7/36))*differential((A001839+(-((((1/18)*((7*x)+5))/(x^2+x+1))+(-(((1/6)*((3*x)-1))/((x^2-x)+1)))+(-(1/4/(x+1)))+(-(5/36/(x-1)))+(-(1/12/(x+1)^2))+(-(1/3/(x-1)^3)))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257464 = (((7/8)*(A001839+(-((((1/18)*((7*x)+5))/(x^2+x+1))+(-(((1/6)*((3*x)-1))/((x^2-x)+1)))+(-(1/4/(x+1)))+(-(5/36/(x-1)))+(-(1/12/(x+1)^2))+(-(3/4/(x-1)^2))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257890 = ((6*integrate((A001839+(-((((1/18)*((7*x)+5))/(x^2+x+1))+(-(((1/6)*((3*x)-1))/((x^2-x)+1)))+(-(1/4/(x+1)))+(-(5/36/(x-1)))+(-(1/12/(x+1)^2))+(-(3/4/(x-1)^2)))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257890 = ((1*differential((A001839+(-((((1/18)*((7*x)+5))/(x^2+x+1))+(-(((1/6)*((3*x)-1))/((x^2-x)+1)))+(-(1/4/(x+1)))+(-(5/36/(x-1)))+(-(1/12/(x+1)^2))+(-(3/4/(x-1)^2)))))))+(1/(x-1)^2)+(1/(x-1)^6))
A257890 = ((9*differential((A001840+(-((-(((1/9)*(x+2))/(x^2+x+1)))+(-(1/3/(x-1)^3)))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257464 = (((7/8)*(A001840+(-((-(((1/9)*(x+2))/(x^2+x+1)))+(-(1/9/(x-1)))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257890 = ((6*integrate((A001840+(-((-(((1/9)*(x+2))/(x^2+x+1)))+(-(1/9/(x-1))))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257890 = ((1*differential((A001840+(-((-(((1/9)*(x+2))/(x^2+x+1)))+(-(1/9/(x-1))))))))+(1/(x-1)^2)+(1/(x-1)^6))
A257890 = ((9*differential((A001840+(-((-(((1/9)*(x+2))/(x^2+x+1)))+(-(1/3/(x-1)^3)))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257464 = (((7/8)*(A001840+(-((-(((1/9)*(x+2))/(x^2+x+1)))+(-(1/9/(x-1)))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257890 = ((6*integrate((A001840+(-((-(((1/9)*(x+2))/(x^2+x+1)))+(-(1/9/(x-1))))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257890 = ((1*differential((A001840+(-((-(((1/9)*(x+2))/(x^2+x+1)))+(-(1/9/(x-1))))))))+(1/(x-1)^2)+(1/(x-1)^6))
A257890 = ((1*differential((A001844+(-((-(4/(x-1)^2))+(-(4/(x-1)^3)))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257890 = (((-(1/4))*(A001844+(-((-(1/(x-1)))+(-(4/(x-1)^3))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257464 = (((-(7/192))*differential((A001844+(-((-(1/(x-1)))+(-(4/(x-1)^3)))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257464 = (((7/96)*(A001844+(-((-(1/(x-1)))+(-(4/(x-1)^2))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257890 = (((1/2)*integrate((A001844+(-((-(1/(x-1)))+(-(4/(x-1)^2)))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257890 = (((1/12)*differential((A001844+(-((-(1/(x-1)))+(-(4/(x-1)^2)))))))+(1/(x-1)^2)+(1/(x-1)^6))
A257890 = (((-1)*differential((A001845+(-((6/(x-1)^2)+(12/(x-1)^3)+(8/(x-1)^4))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257890 = (((1/6)*(A001845+(-((1/(x-1))+(12/(x-1)^3)+(8/(x-1)^4)))))+(1/(x-1)^4)+(1/(x-1)^6))
A257464 = (((7/288)*differential((A001845+(-((1/(x-1))+(12/(x-1)^3)+(8/(x-1)^4))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257464 = (((-(7/288))*(A001845+(-((1/(x-1))+(6/(x-1)^2)+(8/(x-1)^4)))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257890 = (((-(1/6))*integrate((A001845+(-((1/(x-1))+(6/(x-1)^2)+(8/(x-1)^4))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257890 = (((-(1/36))*differential((A001845+(-((1/(x-1))+(6/(x-1)^2)+(8/(x-1)^4))))))+(1/(x-1)^2)+(1/(x-1)^6))
A257890 = (((1/8)*(A001845+(-((1/(x-1))+(6/(x-1)^2)+(12/(x-1)^3)))))+(1/(x-1)^2)+(1/(x-1)^6))
A257464 = (((7/64)*integrate((A001845+(-((1/(x-1))+(6/(x-1)^2)+(12/(x-1)^3))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257464 = (((1/64)*differential((A001845+(-((1/(x-1))+(6/(x-1)^2)+(12/(x-1)^3))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(7/24/(x-1)^3))+(-(1/2/(x-1)^4)))
A257890 = ((1*differential((A001846+(-((-(8/(x-1)^2))+(-(24/(x-1)^3))+(-(32/(x-1)^4))+(-(16/(x-1)^5)))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257890 = (((-(1/8))*(A001846+(-((-(1/(x-1)))+(-(24/(x-1)^3))+(-(32/(x-1)^4))+(-(16/(x-1)^5))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257464 = (((-(7/384))*differential((A001846+(-((-(1/(x-1)))+(-(24/(x-1)^3))+(-(32/(x-1)^4))+(-(16/(x-1)^5)))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257464 = (((7/576)*(A001846+(-((-(1/(x-1)))+(-(8/(x-1)^2))+(-(32/(x-1)^4))+(-(16/(x-1)^5))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257890 = (((1/12)*integrate((A001846+(-((-(1/(x-1)))+(-(8/(x-1)^2))+(-(32/(x-1)^4))+(-(16/(x-1)^5)))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257890 = (((1/72)*differential((A001846+(-((-(1/(x-1)))+(-(8/(x-1)^2))+(-(32/(x-1)^4))+(-(16/(x-1)^5)))))))+(1/(x-1)^2)+(1/(x-1)^6))
A257890 = (((-(1/32))*(A001846+(-((-(1/(x-1)))+(-(8/(x-1)^2))+(-(24/(x-1)^3))+(-(16/(x-1)^5))))))+(1/(x-1)^2)+(1/(x-1)^6))
A257464 = (((-(7/256))*integrate((A001846+(-((-(1/(x-1)))+(-(8/(x-1)^2))+(-(24/(x-1)^3))+(-(16/(x-1)^5)))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257464 = (((-(1/256))*differential((A001846+(-((-(1/(x-1)))+(-(8/(x-1)^2))+(-(24/(x-1)^3))+(-(16/(x-1)^5)))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(7/24/(x-1)^3))+(-(1/2/(x-1)^4)))
A257464 = (((1/32)*(A001846+(-((-(1/(x-1)))+(-(8/(x-1)^2))+(-(24/(x-1)^3))+(-(32/(x-1)^4))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(7/24/(x-1)^3))+(-(1/2/(x-1)^4)))
A257890 = (((1/4)*integrate((A001846+(-((-(1/(x-1)))+(-(8/(x-1)^2))+(-(24/(x-1)^3))+(-(32/(x-1)^4)))))))+(1/(x-1)^2)+(1/(x-1)^6))
A257890 = (((1/80)*differential((A001846+(-((-(1/(x-1)))+(-(8/(x-1)^2))+(-(24/(x-1)^3))+(-(32/(x-1)^4)))))))+(1/(x-1)^2)+(1/(x-1)^4))
A257890 = (((-1)*differential((A001847+(-((10/(x-1)^2)+(40/(x-1)^3)+(80/(x-1)^4)+(80/(x-1)^5)+(32/(x-1)^6))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257890 = (((1/10)*(A001847+(-((1/(x-1))+(40/(x-1)^3)+(80/(x-1)^4)+(80/(x-1)^5)+(32/(x-1)^6)))))+(1/(x-1)^4)+(1/(x-1)^6))
A257464 = (((7/480)*differential((A001847+(-((1/(x-1))+(40/(x-1)^3)+(80/(x-1)^4)+(80/(x-1)^5)+(32/(x-1)^6))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257464 = (((-(7/960))*(A001847+(-((1/(x-1))+(10/(x-1)^2)+(80/(x-1)^4)+(80/(x-1)^5)+(32/(x-1)^6)))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257890 = (((-(1/20))*integrate((A001847+(-((1/(x-1))+(10/(x-1)^2)+(80/(x-1)^4)+(80/(x-1)^5)+(32/(x-1)^6))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257890 = (((-(1/120))*differential((A001847+(-((1/(x-1))+(10/(x-1)^2)+(80/(x-1)^4)+(80/(x-1)^5)+(32/(x-1)^6))))))+(1/(x-1)^2)+(1/(x-1)^6))
A257890 = (((1/80)*(A001847+(-((1/(x-1))+(10/(x-1)^2)+(40/(x-1)^3)+(80/(x-1)^5)+(32/(x-1)^6)))))+(1/(x-1)^2)+(1/(x-1)^6))
A257464 = (((7/640)*integrate((A001847+(-((1/(x-1))+(10/(x-1)^2)+(40/(x-1)^3)+(80/(x-1)^5)+(32/(x-1)^6))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257464 = (((1/640)*differential((A001847+(-((1/(x-1))+(10/(x-1)^2)+(40/(x-1)^3)+(80/(x-1)^5)+(32/(x-1)^6))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(7/24/(x-1)^3))+(-(1/2/(x-1)^4)))
A257464 = (((-(1/160))*(A001847+(-((1/(x-1))+(10/(x-1)^2)+(40/(x-1)^3)+(80/(x-1)^4)+(32/(x-1)^6)))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(7/24/(x-1)^3))+(-(1/2/(x-1)^4)))
A257890 = (((-(1/20))*integrate((A001847+(-((1/(x-1))+(10/(x-1)^2)+(40/(x-1)^3)+(80/(x-1)^4)+(32/(x-1)^6))))))+(1/(x-1)^2)+(1/(x-1)^6))
A257890 = (((-(1/400))*differential((A001847+(-((1/(x-1))+(10/(x-1)^2)+(40/(x-1)^3)+(80/(x-1)^4)+(32/(x-1)^6))))))+(1/(x-1)^2)+(1/(x-1)^4))
A257890 = (((1/32)*(A001847+(-((1/(x-1))+(10/(x-1)^2)+(40/(x-1)^3)+(80/(x-1)^4)+(80/(x-1)^5)))))+(1/(x-1)^2)+(1/(x-1)^4))
A257464 = (((5/64)*integrate((A001847+(-((1/(x-1))+(10/(x-1)^2)+(40/(x-1)^3)+(80/(x-1)^4)+(80/(x-1)^5))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(7/24/(x-1)^3))+(-(1/2/(x-1)^4)))
A257201 = (((-(1/96))*differential((A001847+(-((1/(x-1))+(10/(x-1)^2)+(40/(x-1)^3)+(80/(x-1)^4)+(80/(x-1)^5))))))+(1/(x-1)^5)+(2/(x-1)^6)+(1/(x-1)^8))
A257890 = ((1*differential((A001848+(-((-(12/(x-1)^2))+(-(60/(x-1)^3))+(-(160/(x-1)^4))+(-(240/(x-1)^5))+(-(192/(x-1)^6))+(-(64/(x-1)^7)))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257890 = (((-(1/12))*(A001848+(-((-(1/(x-1)))+(-(60/(x-1)^3))+(-(160/(x-1)^4))+(-(240/(x-1)^5))+(-(192/(x-1)^6))+(-(64/(x-1)^7))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257464 = (((-(7/576))*differential((A001848+(-((-(1/(x-1)))+(-(60/(x-1)^3))+(-(160/(x-1)^4))+(-(240/(x-1)^5))+(-(192/(x-1)^6))+(-(64/(x-1)^7)))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257464 = (((7/1440)*(A001848+(-((-(1/(x-1)))+(-(12/(x-1)^2))+(-(160/(x-1)^4))+(-(240/(x-1)^5))+(-(192/(x-1)^6))+(-(64/(x-1)^7))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257890 = (((1/30)*integrate((A001848+(-((-(1/(x-1)))+(-(12/(x-1)^2))+(-(160/(x-1)^4))+(-(240/(x-1)^5))+(-(192/(x-1)^6))+(-(64/(x-1)^7)))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257890 = (((1/180)*differential((A001848+(-((-(1/(x-1)))+(-(12/(x-1)^2))+(-(160/(x-1)^4))+(-(240/(x-1)^5))+(-(192/(x-1)^6))+(-(64/(x-1)^7)))))))+(1/(x-1)^2)+(1/(x-1)^6))
A257890 = (((-(1/160))*(A001848+(-((-(1/(x-1)))+(-(12/(x-1)^2))+(-(60/(x-1)^3))+(-(240/(x-1)^5))+(-(192/(x-1)^6))+(-(64/(x-1)^7))))))+(1/(x-1)^2)+(1/(x-1)^6))
A257464 = (((-(7/1280))*integrate((A001848+(-((-(1/(x-1)))+(-(12/(x-1)^2))+(-(60/(x-1)^3))+(-(240/(x-1)^5))+(-(192/(x-1)^6))+(-(64/(x-1)^7)))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257464 = (((-(1/1280))*differential((A001848+(-((-(1/(x-1)))+(-(12/(x-1)^2))+(-(60/(x-1)^3))+(-(240/(x-1)^5))+(-(192/(x-1)^6))+(-(64/(x-1)^7)))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(7/24/(x-1)^3))+(-(1/2/(x-1)^4)))
A257464 = (((1/480)*(A001848+(-((-(1/(x-1)))+(-(12/(x-1)^2))+(-(60/(x-1)^3))+(-(160/(x-1)^4))+(-(192/(x-1)^6))+(-(64/(x-1)^7))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(7/24/(x-1)^3))+(-(1/2/(x-1)^4)))
A257890 = (((1/60)*integrate((A001848+(-((-(1/(x-1)))+(-(12/(x-1)^2))+(-(60/(x-1)^3))+(-(160/(x-1)^4))+(-(192/(x-1)^6))+(-(64/(x-1)^7)))))))+(1/(x-1)^2)+(1/(x-1)^6))
A257890 = (((1/1200)*differential((A001848+(-((-(1/(x-1)))+(-(12/(x-1)^2))+(-(60/(x-1)^3))+(-(160/(x-1)^4))+(-(192/(x-1)^6))+(-(64/(x-1)^7)))))))+(1/(x-1)^2)+(1/(x-1)^4))
A257890 = (((-(1/192))*(A001848+(-((-(1/(x-1)))+(-(12/(x-1)^2))+(-(60/(x-1)^3))+(-(160/(x-1)^4))+(-(240/(x-1)^5))+(-(64/(x-1)^7))))))+(1/(x-1)^2)+(1/(x-1)^4))
A257464 = (((-(5/384))*integrate((A001848+(-((-(1/(x-1)))+(-(12/(x-1)^2))+(-(60/(x-1)^3))+(-(160/(x-1)^4))+(-(240/(x-1)^5))+(-(64/(x-1)^7)))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(7/24/(x-1)^3))+(-(1/2/(x-1)^4)))
A257201 = (((1/576)*differential((A001848+(-((-(1/(x-1)))+(-(12/(x-1)^2))+(-(60/(x-1)^3))+(-(160/(x-1)^4))+(-(240/(x-1)^5))+(-(64/(x-1)^7)))))))+(1/(x-1)^5)+(2/(x-1)^6)+(1/(x-1)^8))
A257201 = (((-(1/32))*(A001848+(-((-(1/(x-1)))+(-(12/(x-1)^2))+(-(60/(x-1)^3))+(-(160/(x-1)^4))+(-(240/(x-1)^5))+(-(192/(x-1)^6))))))+(1/(x-1)^5)+(2/(x-1)^6)+(1/(x-1)^8))
A257890 = (((3/32)*integrate((A001848+(-((-(1/(x-1)))+(-(12/(x-1)^2))+(-(60/(x-1)^3))+(-(160/(x-1)^4))+(-(240/(x-1)^5))+(-(192/(x-1)^6)))))))+(1/(x-1)^2)+(1/(x-1)^4))
A257201 = (((1/448)*differential((A001848+(-((-(1/(x-1)))+(-(12/(x-1)^2))+(-(60/(x-1)^3))+(-(160/(x-1)^4))+(-(240/(x-1)^5))+(-(192/(x-1)^6)))))))+(1/(x-1)^5)+(2/(x-1)^6)+(2/(x-1)^7))
A257890 = (((-1)*differential((A001849+(-((14/(x-1)^2)+(84/(x-1)^3)+(280/(x-1)^4)+(560/(x-1)^5)+(672/(x-1)^6)+(448/(x-1)^7)+(128/(x-1)^8))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257890 = (((1/14)*(A001849+(-((1/(x-1))+(84/(x-1)^3)+(280/(x-1)^4)+(560/(x-1)^5)+(672/(x-1)^6)+(448/(x-1)^7)+(128/(x-1)^8)))))+(1/(x-1)^4)+(1/(x-1)^6))
A257464 = (((1/96)*differential((A001849+(-((1/(x-1))+(84/(x-1)^3)+(280/(x-1)^4)+(560/(x-1)^5)+(672/(x-1)^6)+(448/(x-1)^7)+(128/(x-1)^8))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257464 = (((-(1/288))*(A001849+(-((1/(x-1))+(14/(x-1)^2)+(280/(x-1)^4)+(560/(x-1)^5)+(672/(x-1)^6)+(448/(x-1)^7)+(128/(x-1)^8)))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257890 = (((-(1/42))*integrate((A001849+(-((1/(x-1))+(14/(x-1)^2)+(280/(x-1)^4)+(560/(x-1)^5)+(672/(x-1)^6)+(448/(x-1)^7)+(128/(x-1)^8))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257890 = (((-(1/252))*differential((A001849+(-((1/(x-1))+(14/(x-1)^2)+(280/(x-1)^4)+(560/(x-1)^5)+(672/(x-1)^6)+(448/(x-1)^7)+(128/(x-1)^8))))))+(1/(x-1)^2)+(1/(x-1)^6))
A257890 = (((1/280)*(A001849+(-((1/(x-1))+(14/(x-1)^2)+(84/(x-1)^3)+(560/(x-1)^5)+(672/(x-1)^6)+(448/(x-1)^7)+(128/(x-1)^8)))))+(1/(x-1)^2)+(1/(x-1)^6))
A257464 = (((1/320)*integrate((A001849+(-((1/(x-1))+(14/(x-1)^2)+(84/(x-1)^3)+(560/(x-1)^5)+(672/(x-1)^6)+(448/(x-1)^7)+(128/(x-1)^8))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257464 = (((1/2240)*differential((A001849+(-((1/(x-1))+(14/(x-1)^2)+(84/(x-1)^3)+(560/(x-1)^5)+(672/(x-1)^6)+(448/(x-1)^7)+(128/(x-1)^8))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(7/24/(x-1)^3))+(-(1/2/(x-1)^4)))
A257464 = (((-(1/1120))*(A001849+(-((1/(x-1))+(14/(x-1)^2)+(84/(x-1)^3)+(280/(x-1)^4)+(672/(x-1)^6)+(448/(x-1)^7)+(128/(x-1)^8)))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(7/24/(x-1)^3))+(-(1/2/(x-1)^4)))
A257890 = (((-(1/140))*integrate((A001849+(-((1/(x-1))+(14/(x-1)^2)+(84/(x-1)^3)+(280/(x-1)^4)+(672/(x-1)^6)+(448/(x-1)^7)+(128/(x-1)^8))))))+(1/(x-1)^2)+(1/(x-1)^6))
A257890 = (((-(1/2800))*differential((A001849+(-((1/(x-1))+(14/(x-1)^2)+(84/(x-1)^3)+(280/(x-1)^4)+(672/(x-1)^6)+(448/(x-1)^7)+(128/(x-1)^8))))))+(1/(x-1)^2)+(1/(x-1)^4))
A257890 = (((1/672)*(A001849+(-((1/(x-1))+(14/(x-1)^2)+(84/(x-1)^3)+(280/(x-1)^4)+(560/(x-1)^5)+(448/(x-1)^7)+(128/(x-1)^8)))))+(1/(x-1)^2)+(1/(x-1)^4))
A257464 = (((5/1344)*integrate((A001849+(-((1/(x-1))+(14/(x-1)^2)+(84/(x-1)^3)+(280/(x-1)^4)+(560/(x-1)^5)+(448/(x-1)^7)+(128/(x-1)^8))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(7/24/(x-1)^3))+(-(1/2/(x-1)^4)))
A257201 = (((-(1/2016))*differential((A001849+(-((1/(x-1))+(14/(x-1)^2)+(84/(x-1)^3)+(280/(x-1)^4)+(560/(x-1)^5)+(448/(x-1)^7)+(128/(x-1)^8))))))+(1/(x-1)^5)+(2/(x-1)^6)+(1/(x-1)^8))
A257201 = (((1/224)*(A001849+(-((1/(x-1))+(14/(x-1)^2)+(84/(x-1)^3)+(280/(x-1)^4)+(560/(x-1)^5)+(672/(x-1)^6)+(128/(x-1)^8)))))+(1/(x-1)^5)+(2/(x-1)^6)+(1/(x-1)^8))
A257890 = (((-(3/224))*integrate((A001849+(-((1/(x-1))+(14/(x-1)^2)+(84/(x-1)^3)+(280/(x-1)^4)+(560/(x-1)^5)+(672/(x-1)^6)+(128/(x-1)^8))))))+(1/(x-1)^2)+(1/(x-1)^4))
A257201 = (((-(1/3136))*differential((A001849+(-((1/(x-1))+(14/(x-1)^2)+(84/(x-1)^3)+(280/(x-1)^4)+(560/(x-1)^5)+(672/(x-1)^6)+(128/(x-1)^8))))))+(1/(x-1)^5)+(2/(x-1)^6)+(2/(x-1)^7))
A257201 = (((1/128)*(A001849+(-((1/(x-1))+(14/(x-1)^2)+(84/(x-1)^3)+(280/(x-1)^4)+(560/(x-1)^5)+(672/(x-1)^6)+(448/(x-1)^7)))))+(1/(x-1)^5)+(2/(x-1)^6)+(2/(x-1)^7))
A257201 = (((-(7/64))*integrate((A001849+(-((1/(x-1))+(14/(x-1)^2)+(84/(x-1)^3)+(280/(x-1)^4)+(560/(x-1)^5)+(672/(x-1)^6)+(448/(x-1)^7))))))+(1/(x-1)^5)+(2/(x-1)^6)+(1/(x-1)^8))
A256181 = (((73603/1024)*differential((A001849+(-((1/(x-1))+(14/(x-1)^2)+(84/(x-1)^3)+(280/(x-1)^4)+(560/(x-1)^5)+(672/(x-1)^6)+(448/(x-1)^7))))))+(-(1/(x-1)))+(-(3/(x-1)^3))+(-(102/(x-1)^4))+(-(1305/(x-1)^5))+(-(7812/(x-1)^6))+(-(26333/(x-1)^7))+(-(54854/(x-1)^8))+(-(63976/(x-1)^10))+(-(34905/(x-1)^11))+(-(10890/(x-1)^12))+(-(1485/(x-1)^13))+(-1))
A257850 = (((-(2/5))*differential((A001859+(-((-(1/8/(x-1)))+(-(5/4/(x-1)^2))+(-(3/2/(x-1)^3)))))))+(((1/5)*((15*x^3)+(4*x^2)+(8*x)+9))/((((x^4-x^3)+x^2)-x)+1))+(-(-(((1/5)*((11*x^3)+(16*x^2)+(15*x)+8))/(x^4+x^3+x^2+x+1))))+(-(-(((1/2)*((2*x^3)+(2*x^2)+x))/(x^4+x^3+x^2+x+1)^2)))+(-(-(((1/2)*(((2*x^2)-x)+2))/((((x^4-x^3)+x^2)-x)+1)^2)))+(-(1/2/(x+1)))+(-(33/10/(x-1)))+(9/20/(x-1)^2))
A257890 = ((8*differential((A001859+(-((-(1/8/(x+1)))+(-(5/4/(x-1)^2))+(-(3/2/(x-1)^3)))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257890 = (((-(4/5))*(A001859+(-((-(1/8/(x+1)))+(-(1/8/(x-1)))+(-(3/2/(x-1)^3))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257464 = (((-(7/60))*differential((A001859+(-((-(1/8/(x+1)))+(-(1/8/(x-1)))+(-(3/2/(x-1)^3)))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257464 = (((7/36)*(A001859+(-((-(1/8/(x+1)))+(-(1/8/(x-1)))+(-(5/4/(x-1)^2))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257890 = (((4/3)*integrate((A001859+(-((-(1/8/(x+1)))+(-(1/8/(x-1)))+(-(5/4/(x-1)^2)))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257890 = (((2/9)*differential((A001859+(-((-(1/8/(x+1)))+(-(1/8/(x-1)))+(-(5/4/(x-1)^2)))))))+(1/(x-1)^2)+(1/(x-1)^6))
A257890 = ((9*differential((A001860+(-((-(((1/9)*x)/(x^2+x+1)))+(-(2/9/(x-1)^2))+(7/3/(x-1)^3)+(8/3/(x-1)^4))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257890 = (((-(9/2))*(A001860+(-((-(((1/9)*x)/(x^2+x+1)))+(-(1/9/(x-1)))+(7/3/(x-1)^3)+(8/3/(x-1)^4)))))+(1/(x-1)^4)+(1/(x-1)^6))
A257464 = (((-(21/32))*differential((A001860+(-((-(((1/9)*x)/(x^2+x+1)))+(-(1/9/(x-1)))+(7/3/(x-1)^3)+(8/3/(x-1)^4))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257464 = (((-(1/8))*(A001860+(-((-(((1/9)*x)/(x^2+x+1)))+(-(1/9/(x-1)))+(-(2/9/(x-1)^2))+(8/3/(x-1)^4)))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257890 = (((-(6/7))*integrate((A001860+(-((-(((1/9)*x)/(x^2+x+1)))+(-(1/9/(x-1)))+(-(2/9/(x-1)^2))+(8/3/(x-1)^4))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257890 = (((-(1/7))*differential((A001860+(-((-(((1/9)*x)/(x^2+x+1)))+(-(1/9/(x-1)))+(-(2/9/(x-1)^2))+(8/3/(x-1)^4))))))+(1/(x-1)^2)+(1/(x-1)^6))
A257890 = (((3/8)*(A001860+(-((-(((1/9)*x)/(x^2+x+1)))+(-(1/9/(x-1)))+(-(2/9/(x-1)^2))+(7/3/(x-1)^3)))))+(1/(x-1)^2)+(1/(x-1)^6))
A257464 = (((21/64)*integrate((A001860+(-((-(((1/9)*x)/(x^2+x+1)))+(-(1/9/(x-1)))+(-(2/9/(x-1)^2))+(7/3/(x-1)^3))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257464 = (((3/64)*differential((A001860+(-((-(((1/9)*x)/(x^2+x+1)))+(-(1/9/(x-1)))+(-(2/9/(x-1)^2))+(7/3/(x-1)^3))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(7/24/(x-1)^3))+(-(1/2/(x-1)^4)))
A238420 = (((-x)*A001871)+(3/5/((x^2-(3*x))+1))+(-(3/5/(x+1)^2)))
A060932 = ((240*A001872)+(64/((x^2+x)-1)^3)+(300/((x^2+x)-1)^5)+(125/((x^2+x)-1)^6))
A060933 = ((60*differential(A001872))+(-((64*((2*x)+1))/((x^2+x)-1)^4))+(-((300*((2*x)+1))/((x^2+x)-1)^6))+(-((125*((2*x)+1))/((x^2+x)-1)^7)))
A060932 = (((-300)*A001873)+(64/((x^2+x)-1)^3)+(240/((x^2+x)-1)^4)+(125/((x^2+x)-1)^6))
A060933 = (((-60)*differential(A001873))+(-((64*((2*x)+1))/((x^2+x)-1)^4))+(-((240*((2*x)+1))/((x^2+x)-1)^5))+(-((125*((2*x)+1))/((x^2+x)-1)^7)))
A060932 = ((125*A001874)+(64/((x^2+x)-1)^3)+(240/((x^2+x)-1)^4)+(300/((x^2+x)-1)^5))
A060933 = (((125/6)*differential(A001874))+(-((64*((2*x)+1))/((x^2+x)-1)^4))+(-((240*((2*x)+1))/((x^2+x)-1)^5))+(-((300*((2*x)+1))/((x^2+x)-1)^6)))
A257890 = (((1/3)*differential((A001891+(-((-(((3*x)+5)/((x^2+x)-1)))+(-(2/(x-1)^2)))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257890 = (((-(1/2))*(A001891+(-((-(((3*x)+5)/((x^2+x)-1)))+(-(3/(x-1)))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257464 = (((-(7/96))*differential((A001891+(-((-(((3*x)+5)/((x^2+x)-1)))+(-(3/(x-1))))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A254884 = ((1*A001906)+(x/((x^2+x)-1))+(x/(x^2-x-1)))
A257890 = (((-(1/2))*differential((A001911+(-(-((x+2)/((x^2+x)-1)))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257464 = (((-(7/72))*(A001919+(-((7/(x-1)^4)+(4/(x-1)^5)+(1/(x-1)^7)+(1/(x-1)^8)))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257890 = (((-(2/3))*integrate((A001919+(-((7/(x-1)^4)+(4/(x-1)^5)+(1/(x-1)^7)+(1/(x-1)^8))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257890 = (((-(1/9))*differential((A001919+(-((7/(x-1)^4)+(4/(x-1)^5)+(1/(x-1)^7)+(1/(x-1)^8))))))+(1/(x-1)^2)+(1/(x-1)^6))
A257890 = (((1/7)*(A001919+(-((3/(x-1)^3)+(4/(x-1)^5)+(1/(x-1)^7)+(1/(x-1)^8)))))+(1/(x-1)^2)+(1/(x-1)^6))
A257464 = (((1/8)*integrate((A001919+(-((3/(x-1)^3)+(4/(x-1)^5)+(1/(x-1)^7)+(1/(x-1)^8))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257464 = (((1/56)*differential((A001919+(-((3/(x-1)^3)+(4/(x-1)^5)+(1/(x-1)^7)+(1/(x-1)^8))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(7/24/(x-1)^3))+(-(1/2/(x-1)^4)))
A257464 = (((-(1/8))*(A001919+(-((3/(x-1)^3)+(7/(x-1)^4)+(1/(x-1)^7)+(1/(x-1)^8)))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(7/24/(x-1)^3))+(-(1/2/(x-1)^4)))
A257890 = (((-1)*integrate((A001919+(-((3/(x-1)^3)+(7/(x-1)^4)+(1/(x-1)^7)+(1/(x-1)^8))))))+(1/(x-1)^2)+(1/(x-1)^6))
A257890 = (((-(1/20))*differential((A001919+(-((3/(x-1)^3)+(7/(x-1)^4)+(1/(x-1)^7)+(1/(x-1)^8))))))+(1/(x-1)^2)+(1/(x-1)^4))
A257201 = ((2*(A001919+(-((3/(x-1)^3)+(7/(x-1)^4)+(4/(x-1)^5)+(1/(x-1)^8)))))+(1/(x-1)^5)+(2/(x-1)^6)+(1/(x-1)^8))
A257890 = (((-6)*integrate((A001919+(-((3/(x-1)^3)+(7/(x-1)^4)+(4/(x-1)^5)+(1/(x-1)^8))))))+(1/(x-1)^2)+(1/(x-1)^4))
A257201 = (((-(1/7))*differential((A001919+(-((3/(x-1)^3)+(7/(x-1)^4)+(4/(x-1)^5)+(1/(x-1)^8))))))+(1/(x-1)^5)+(2/(x-1)^6)+(2/(x-1)^7))
A257201 = ((1*(A001919+(-((3/(x-1)^3)+(7/(x-1)^4)+(4/(x-1)^5)+(1/(x-1)^7)))))+(1/(x-1)^5)+(2/(x-1)^6)+(2/(x-1)^7))
A257201 = (((-14)*integrate((A001919+(-((3/(x-1)^3)+(7/(x-1)^4)+(4/(x-1)^5)+(1/(x-1)^7))))))+(1/(x-1)^5)+(2/(x-1)^6)+(1/(x-1)^8))
A256181 = (((73603/8)*differential((A001919+(-((3/(x-1)^3)+(7/(x-1)^4)+(4/(x-1)^5)+(1/(x-1)^7))))))+(-(1/(x-1)))+(-(3/(x-1)^3))+(-(102/(x-1)^4))+(-(1305/(x-1)^5))+(-(7812/(x-1)^6))+(-(26333/(x-1)^7))+(-(54854/(x-1)^8))+(-(63976/(x-1)^10))+(-(34905/(x-1)^11))+(-(10890/(x-1)^12))+(-(1485/(x-1)^13))+(-1))
A257890 = ((2*differential((A001922+(-(((1/2)*(x+1))/((x^2-(14*x))+1))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257890 = (((1/2)*differential((A001924+(-((-(((2*x)+3)/((x^2+x)-1)))+(-(1/(x-1)^2)))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257890 = (((-1)*(A001924+(-((-(((2*x)+3)/((x^2+x)-1)))+(-(2/(x-1)))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257464 = (((-(7/48))*differential((A001924+(-((-(((2*x)+3)/((x^2+x)-1)))+(-(2/(x-1))))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A067986 = ((5*(A001925+(-(((11*((4*x)+7))/((x^2+x)-1))+(-(-(44/(x-1))))+(-(11/(x-1)^2))+(-(2/(x-1)^3))))))+(58/((x^2+x)-1)))
A257890 = (((-(1/44))*differential((A001925+(-(((11*((4*x)+7))/((x^2+x)-1))+(-(-(((13*x)+21)/((x^2+x)-1)^2)))+(-(11/(x-1)^2))+(-(2/(x-1)^3)))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257890 = (((-(1/11))*(A001925+(-(((11*((4*x)+7))/((x^2+x)-1))+(-(-(((13*x)+21)/((x^2+x)-1)^2)))+(-(-(44/(x-1))))+(-(2/(x-1)^3))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257464 = (((-(7/528))*differential((A001925+(-(((11*((4*x)+7))/((x^2+x)-1))+(-(-(((13*x)+21)/((x^2+x)-1)^2)))+(-(-(44/(x-1))))+(-(2/(x-1)^3)))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257464 = (((7/48)*(A001925+(-(((11*((4*x)+7))/((x^2+x)-1))+(-(-(((13*x)+21)/((x^2+x)-1)^2)))+(-(-(44/(x-1))))+(-(11/(x-1)^2))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257890 = ((1*integrate((A001925+(-(((11*((4*x)+7))/((x^2+x)-1))+(-(-(((13*x)+21)/((x^2+x)-1)^2)))+(-(-(44/(x-1))))+(-(11/(x-1)^2)))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257890 = (((1/6)*differential((A001925+(-(((11*((4*x)+7))/((x^2+x)-1))+(-(-(((13*x)+21)/((x^2+x)-1)^2)))+(-(-(44/(x-1))))+(-(11/(x-1)^2)))))))+(1/(x-1)^2)+(1/(x-1)^6))
A257890 = (((-4)*differential((A001949+(-(((1/4)*(((3*x^4)+(2*x^3)+x^2)-1))/((x^5+x^4+x^3+x^2+x)-1))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257196 = (((-(4*x))*(A001971+(-((-(3/16/(x+1)))+(-(3/16/(x-1)))+(-(3/8/(x-1)^2))+(-(1/4/(x-1)^3))))))+(-(x^2/(x^4+1)))+1)
A226782 = (((-1)*differential((A001971+(-((-(3/16/(x+1)))+(-(3/16/(x-1)))+(-(3/8/(x-1)^2))+(-(1/4/(x-1)^3)))))))+(-x)+(-(-(((1/4)*x)/(x^2+1))))+(-(1/8/(x+1)))+(-(1/8/(x-1)))+(-(1/4/(x+1)^2))+(1/4/(x-1)^2))
A257850 = (((-(4/15))*differential((A001971+(-((-(1/4/(x^2+1)))+(-(3/16/(x-1)))+(-(3/8/(x-1)^2))+(-(1/4/(x-1)^3)))))))+(((1/5)*((15*x^3)+(4*x^2)+(8*x)+9))/((((x^4-x^3)+x^2)-x)+1))+(-(-(((1/5)*((11*x^3)+(16*x^2)+(15*x)+8))/(x^4+x^3+x^2+x+1))))+(-(-(((1/2)*((2*x^3)+(2*x^2)+x))/(x^4+x^3+x^2+x+1)^2)))+(-(-(((1/2)*(((2*x^2)-x)+2))/((((x^4-x^3)+x^2)-x)+1)^2)))+(-(1/2/(x+1)))+(-(33/10/(x-1)))+(9/20/(x-1)^2))
A257890 = (((16/3)*differential((A001971+(-((-(1/4/(x^2+1)))+(-(3/16/(x+1)))+(-(3/8/(x-1)^2))+(-(1/4/(x-1)^3)))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257890 = (((-(8/3))*(A001971+(-((-(1/4/(x^2+1)))+(-(3/16/(x+1)))+(-(3/16/(x-1)))+(-(1/4/(x-1)^3))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257464 = (((-(7/18))*differential((A001971+(-((-(1/4/(x^2+1)))+(-(3/16/(x+1)))+(-(3/16/(x-1)))+(-(1/4/(x-1)^3)))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257464 = (((7/6)*(A001971+(-((-(1/4/(x^2+1)))+(-(3/16/(x+1)))+(-(3/16/(x-1)))+(-(3/8/(x-1)^2))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257890 = ((8*integrate((A001971+(-((-(1/4/(x^2+1)))+(-(3/16/(x+1)))+(-(3/16/(x-1)))+(-(3/8/(x-1)^2)))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257890 = (((4/3)*differential((A001971+(-((-(1/4/(x^2+1)))+(-(3/16/(x+1)))+(-(3/16/(x-1)))+(-(3/8/(x-1)^2)))))))+(1/(x-1)^2)+(1/(x-1)^6))
A257850 = (((-(128/355))*differential((A001993+(-((((2/27)*(x+2))/(x^2+x+1))+(-(-(-(-(((1/32)*(x-1))/(x^2+1))))))+(-(-(-(((1/27)*(x+1))/(x^2+x+1)^2))))+(-(-(-(2509/13824/(x-1)))))+(-(-(3/64/(x+1)^2)))+(-(-(43/256/(x-1)^2)))+(-(-(1/128/(x+1)^3)))+(-(-(55/432/(x-1)^3)))+(-(65/864/(x-1)^4))+(-(1/32/(x-1)^5))+(1/144/(x-1)^6))))))+(((1/5)*((15*x^3)+(4*x^2)+(8*x)+9))/((((x^4-x^3)+x^2)-x)+1))+(-(-(((1/5)*((11*x^3)+(16*x^2)+(15*x)+8))/(x^4+x^3+x^2+x+1))))+(-(-(((1/2)*((2*x^3)+(2*x^2)+x))/(x^4+x^3+x^2+x+1)^2)))+(-(-(((1/2)*(((2*x^2)-x)+2))/((((x^4-x^3)+x^2)-x)+1)^2)))+(-(1/2/(x+1)))+(-(33/10/(x-1)))+(9/20/(x-1)^2))
A256310 = (((-1)*(A001993+(-((((2/27)*(x+2))/(x^2+x+1))+(-(-(-(-(((1/32)*(x-1))/(x^2+1))))))+(-(-(-(71/512/(x+1)))))+(-(-(-(2509/13824/(x-1)))))+(-(-(3/64/(x+1)^2)))+(-(-(43/256/(x-1)^2)))+(-(-(1/128/(x+1)^3)))+(-(-(55/432/(x-1)^3)))+(-(65/864/(x-1)^4))+(-(1/32/(x-1)^5))+(1/144/(x-1)^6)))))+(-(((1/25)*((2*x^2)+x+2))/(x^4+x^3+x^2+x+1)))+(-(-(-(((1/27)*(x+2))/(x^2+x+1)))))+(-(-(-(1/32/(x+1)))))+(-(-(5/864/(x-1))))+(-(7/400/(x-1)^2))+(-(1/1080/(x-1)^3))+(-(19/540/(x-1)^4))+(1/30/(x-1)^5)+(2/45/(x-1)^6))
A257890 = (((13824/2509)*differential((A001993+(-((((2/27)*(x+2))/(x^2+x+1))+(-(-(-(-(((1/32)*(x-1))/(x^2+1))))))+(-(-(-(71/512/(x+1)))))+(-(-(-(((1/27)*(x+1))/(x^2+x+1)^2))))+(-(-(3/64/(x+1)^2)))+(-(-(43/256/(x-1)^2)))+(-(-(1/128/(x+1)^3)))+(-(-(55/432/(x-1)^3)))+(-(65/864/(x-1)^4))+(-(1/32/(x-1)^5))+(1/144/(x-1)^6))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257850 = (((-(16/15))*(A001993+(-((((2/27)*(x+2))/(x^2+x+1))+(-(-(-(-(((1/32)*(x-1))/(x^2+1))))))+(-(-(-(71/512/(x+1)))))+(-(-(-(((1/27)*(x+1))/(x^2+x+1)^2))))+(-(-(-(2509/13824/(x-1)))))+(-(-(43/256/(x-1)^2)))+(-(-(1/128/(x+1)^3)))+(-(-(55/432/(x-1)^3)))+(-(65/864/(x-1)^4))+(-(1/32/(x-1)^5))+(1/144/(x-1)^6)))))+(((1/5)*((15*x^3)+(4*x^2)+(8*x)+9))/((((x^4-x^3)+x^2)-x)+1))+(-(-(((1/5)*((11*x^3)+(16*x^2)+(15*x)+8))/(x^4+x^3+x^2+x+1))))+(-(-(((1/2)*((2*x^3)+(2*x^2)+x))/(x^4+x^3+x^2+x+1)^2)))+(-(-(((1/2)*(((2*x^2)-x)+2))/((((x^4-x^3)+x^2)-x)+1)^2)))+(-(1/2/(x+1)))+(-(33/10/(x-1)))+(9/20/(x-1)^2))
A257171 = (((4/3)*differential((A001993+(-((((2/27)*(x+2))/(x^2+x+1))+(-(-(-(-(((1/32)*(x-1))/(x^2+1))))))+(-(-(-(71/512/(x+1)))))+(-(-(-(((1/27)*(x+1))/(x^2+x+1)^2))))+(-(-(-(2509/13824/(x-1)))))+(-(-(43/256/(x-1)^2)))+(-(-(1/128/(x+1)^3)))+(-(-(55/432/(x-1)^3)))+(-(65/864/(x-1)^4))+(-(1/32/(x-1)^5))+(1/144/(x-1)^6))))))+(2*x)+(-(-(3/8/(x+1))))+(-(-(3/8/(x-1))))+(-(3/4/(x-1)^2))+(-(3/8/(x-1)^3))+(-(3/4/(x-1)^4))+(-1))
A257890 = (((256/43)*(A001993+(-((((2/27)*(x+2))/(x^2+x+1))+(-(-(-(-(((1/32)*(x-1))/(x^2+1))))))+(-(-(-(71/512/(x+1)))))+(-(-(-(((1/27)*(x+1))/(x^2+x+1)^2))))+(-(-(-(2509/13824/(x-1)))))+(-(-(3/64/(x+1)^2)))+(-(-(1/128/(x+1)^3)))+(-(-(55/432/(x-1)^3)))+(-(65/864/(x-1)^4))+(-(1/32/(x-1)^5))+(1/144/(x-1)^6)))))+(1/(x-1)^4)+(1/(x-1)^6))
A257464 = (((112/129)*differential((A001993+(-((((2/27)*(x+2))/(x^2+x+1))+(-(-(-(-(((1/32)*(x-1))/(x^2+1))))))+(-(-(-(71/512/(x+1)))))+(-(-(-(((1/27)*(x+1))/(x^2+x+1)^2))))+(-(-(-(2509/13824/(x-1)))))+(-(-(3/64/(x+1)^2)))+(-(-(1/128/(x+1)^3)))+(-(-(55/432/(x-1)^3)))+(-(65/864/(x-1)^4))+(-(1/32/(x-1)^5))+(1/144/(x-1)^6))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257171 = (((-16)*(A001993+(-((((2/27)*(x+2))/(x^2+x+1))+(-(-(-(-(((1/32)*(x-1))/(x^2+1))))))+(-(-(-(71/512/(x+1)))))+(-(-(-(((1/27)*(x+1))/(x^2+x+1)^2))))+(-(-(-(2509/13824/(x-1)))))+(-(-(3/64/(x+1)^2)))+(-(-(43/256/(x-1)^2)))+(-(-(55/432/(x-1)^3)))+(-(65/864/(x-1)^4))+(-(1/32/(x-1)^5))+(1/144/(x-1)^6)))))+(2*x)+(-(-(3/8/(x+1))))+(-(-(3/8/(x-1))))+(-(3/4/(x-1)^2))+(-(3/8/(x-1)^3))+(-(3/4/(x-1)^4))+(-1))
A257850 = (((64/5)*integrate((A001993+(-((((2/27)*(x+2))/(x^2+x+1))+(-(-(-(-(((1/32)*(x-1))/(x^2+1))))))+(-(-(-(71/512/(x+1)))))+(-(-(-(((1/27)*(x+1))/(x^2+x+1)^2))))+(-(-(-(2509/13824/(x-1)))))+(-(-(3/64/(x+1)^2)))+(-(-(43/256/(x-1)^2)))+(-(-(55/432/(x-1)^3)))+(-(65/864/(x-1)^4))+(-(1/32/(x-1)^5))+(1/144/(x-1)^6))))))+(((1/5)*((15*x^3)+(4*x^2)+(8*x)+9))/((((x^4-x^3)+x^2)-x)+1))+(-(-(((1/5)*((11*x^3)+(16*x^2)+(15*x)+8))/(x^4+x^3+x^2+x+1))))+(-(-(((1/2)*((2*x^3)+(2*x^2)+x))/(x^4+x^3+x^2+x+1)^2)))+(-(-(((1/2)*(((2*x^2)-x)+2))/((((x^4-x^3)+x^2)-x)+1)^2)))+(-(1/2/(x+1)))+(-(33/10/(x-1)))+(9/20/(x-1)^2))
A254233 = (((-(1/3))*differential((A001993+(-((((2/27)*(x+2))/(x^2+x+1))+(-(-(-(-(((1/32)*(x-1))/(x^2+1))))))+(-(-(-(71/512/(x+1)))))+(-(-(-(((1/27)*(x+1))/(x^2+x+1)^2))))+(-(-(-(2509/13824/(x-1)))))+(-(-(3/64/(x+1)^2)))+(-(-(43/256/(x-1)^2)))+(-(-(55/432/(x-1)^3)))+(-(65/864/(x-1)^4))+(-(1/32/(x-1)^5))+(1/144/(x-1)^6))))))+(((1/972)*((113*x)+137))/(x^2+x+1))+(-(-(-(-(-(((1/12)*(x-1))/((x^2-x)+1)))))))+(-(-(-(-(3/32/(x^2+1))))))+(-(-(-(-(((1/162)*((12*x)+11))/(x^2+x+1)^2)))))+(-(-(-(-(41/384/(x+1))))))+(-(-(-(-(4345/31104/(x-1))))))+(-(-(-(83/1536/(x+1)^2))))+(-(-(-(9205/124416/(x-1)^2))))+(-(-(-(((1/27)*x)/(x^2+x+1)^3))))+(-(-(-(3/128/(x+1)^3))))+(-(-(-(3/64/(x-1)^3))))+(-(-(23/576/(x-1)^4)))+(-(-(5/144/(x-1)^5)))+(-(1/32/(x-1)^6))+(-(1/36/(x-1)^7))+(1/36/(x-1)^8))
A257464 = (((-(126/55))*(A001993+(-((((2/27)*(x+2))/(x^2+x+1))+(-(-(-(-(((1/32)*(x-1))/(x^2+1))))))+(-(-(-(71/512/(x+1)))))+(-(-(-(((1/27)*(x+1))/(x^2+x+1)^2))))+(-(-(-(2509/13824/(x-1)))))+(-(-(3/64/(x+1)^2)))+(-(-(43/256/(x-1)^2)))+(-(-(1/128/(x+1)^3)))+(-(65/864/(x-1)^4))+(-(1/32/(x-1)^5))+(1/144/(x-1)^6)))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257890 = (((-(864/55))*integrate((A001993+(-((((2/27)*(x+2))/(x^2+x+1))+(-(-(-(-(((1/32)*(x-1))/(x^2+1))))))+(-(-(-(71/512/(x+1)))))+(-(-(-(((1/27)*(x+1))/(x^2+x+1)^2))))+(-(-(-(2509/13824/(x-1)))))+(-(-(3/64/(x+1)^2)))+(-(-(43/256/(x-1)^2)))+(-(-(1/128/(x+1)^3)))+(-(65/864/(x-1)^4))+(-(1/32/(x-1)^5))+(1/144/(x-1)^6))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257890 = (((-(144/55))*differential((A001993+(-((((2/27)*(x+2))/(x^2+x+1))+(-(-(-(-(((1/32)*(x-1))/(x^2+1))))))+(-(-(-(71/512/(x+1)))))+(-(-(-(((1/27)*(x+1))/(x^2+x+1)^2))))+(-(-(-(2509/13824/(x-1)))))+(-(-(3/64/(x+1)^2)))+(-(-(43/256/(x-1)^2)))+(-(-(1/128/(x+1)^3)))+(-(65/864/(x-1)^4))+(-(1/32/(x-1)^5))+(1/144/(x-1)^6))))))+(1/(x-1)^2)+(1/(x-1)^6))
A257890 = (((-(864/65))*(A001993+(-((((2/27)*(x+2))/(x^2+x+1))+(-(-(-(-(((1/32)*(x-1))/(x^2+1))))))+(-(-(-(71/512/(x+1)))))+(-(-(-(((1/27)*(x+1))/(x^2+x+1)^2))))+(-(-(-(2509/13824/(x-1)))))+(-(-(3/64/(x+1)^2)))+(-(-(43/256/(x-1)^2)))+(-(-(1/128/(x+1)^3)))+(-(-(55/432/(x-1)^3)))+(-(1/32/(x-1)^5))+(1/144/(x-1)^6)))))+(1/(x-1)^2)+(1/(x-1)^6))
A257464 = (((-(756/65))*integrate((A001993+(-((((2/27)*(x+2))/(x^2+x+1))+(-(-(-(-(((1/32)*(x-1))/(x^2+1))))))+(-(-(-(71/512/(x+1)))))+(-(-(-(((1/27)*(x+1))/(x^2+x+1)^2))))+(-(-(-(2509/13824/(x-1)))))+(-(-(3/64/(x+1)^2)))+(-(-(43/256/(x-1)^2)))+(-(-(1/128/(x+1)^3)))+(-(-(55/432/(x-1)^3)))+(-(1/32/(x-1)^5))+(1/144/(x-1)^6))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257464 = (((-(108/65))*differential((A001993+(-((((2/27)*(x+2))/(x^2+x+1))+(-(-(-(-(((1/32)*(x-1))/(x^2+1))))))+(-(-(-(71/512/(x+1)))))+(-(-(-(((1/27)*(x+1))/(x^2+x+1)^2))))+(-(-(-(2509/13824/(x-1)))))+(-(-(3/64/(x+1)^2)))+(-(-(43/256/(x-1)^2)))+(-(-(1/128/(x+1)^3)))+(-(-(55/432/(x-1)^3)))+(-(1/32/(x-1)^5))+(1/144/(x-1)^6))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(7/24/(x-1)^3))+(-(1/2/(x-1)^4)))
A257464 = ((16*(A001993+(-((((2/27)*(x+2))/(x^2+x+1))+(-(-(-(-(((1/32)*(x-1))/(x^2+1))))))+(-(-(-(71/512/(x+1)))))+(-(-(-(((1/27)*(x+1))/(x^2+x+1)^2))))+(-(-(-(2509/13824/(x-1)))))+(-(-(3/64/(x+1)^2)))+(-(-(43/256/(x-1)^2)))+(-(-(1/128/(x+1)^3)))+(-(-(55/432/(x-1)^3)))+(-(65/864/(x-1)^4))+(1/144/(x-1)^6)))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(7/24/(x-1)^3))+(-(1/2/(x-1)^4)))
A257890 = ((128*integrate((A001993+(-((((2/27)*(x+2))/(x^2+x+1))+(-(-(-(-(((1/32)*(x-1))/(x^2+1))))))+(-(-(-(71/512/(x+1)))))+(-(-(-(((1/27)*(x+1))/(x^2+x+1)^2))))+(-(-(-(2509/13824/(x-1)))))+(-(-(3/64/(x+1)^2)))+(-(-(43/256/(x-1)^2)))+(-(-(1/128/(x+1)^3)))+(-(-(55/432/(x-1)^3)))+(-(65/864/(x-1)^4))+(1/144/(x-1)^6))))))+(1/(x-1)^2)+(1/(x-1)^6))
A257890 = (((32/5)*differential((A001993+(-((((2/27)*(x+2))/(x^2+x+1))+(-(-(-(-(((1/32)*(x-1))/(x^2+1))))))+(-(-(-(71/512/(x+1)))))+(-(-(-(((1/27)*(x+1))/(x^2+x+1)^2))))+(-(-(-(2509/13824/(x-1)))))+(-(-(3/64/(x+1)^2)))+(-(-(43/256/(x-1)^2)))+(-(-(1/128/(x+1)^3)))+(-(-(55/432/(x-1)^3)))+(-(65/864/(x-1)^4))+(1/144/(x-1)^6))))))+(1/(x-1)^2)+(1/(x-1)^4))
A257890 = ((144*(A001993+(-((((2/27)*(x+2))/(x^2+x+1))+(-(-(-(-(((1/32)*(x-1))/(x^2+1))))))+(-(-(-(71/512/(x+1)))))+(-(-(-(((1/27)*(x+1))/(x^2+x+1)^2))))+(-(-(-(2509/13824/(x-1)))))+(-(-(3/64/(x+1)^2)))+(-(-(43/256/(x-1)^2)))+(-(-(1/128/(x+1)^3)))+(-(-(55/432/(x-1)^3)))+(-(65/864/(x-1)^4))+(-(1/32/(x-1)^5))))))+(1/(x-1)^2)+(1/(x-1)^4))
A257464 = ((360*integrate((A001993+(-((((2/27)*(x+2))/(x^2+x+1))+(-(-(-(-(((1/32)*(x-1))/(x^2+1))))))+(-(-(-(71/512/(x+1)))))+(-(-(-(((1/27)*(x+1))/(x^2+x+1)^2))))+(-(-(-(2509/13824/(x-1)))))+(-(-(3/64/(x+1)^2)))+(-(-(43/256/(x-1)^2)))+(-(-(1/128/(x+1)^3)))+(-(-(55/432/(x-1)^3)))+(-(65/864/(x-1)^4))+(-(1/32/(x-1)^5)))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(7/24/(x-1)^3))+(-(1/2/(x-1)^4)))
A257201 = (((-48)*differential((A001993+(-((((2/27)*(x+2))/(x^2+x+1))+(-(-(-(-(((1/32)*(x-1))/(x^2+1))))))+(-(-(-(71/512/(x+1)))))+(-(-(-(((1/27)*(x+1))/(x^2+x+1)^2))))+(-(-(-(2509/13824/(x-1)))))+(-(-(3/64/(x+1)^2)))+(-(-(43/256/(x-1)^2)))+(-(-(1/128/(x+1)^3)))+(-(-(55/432/(x-1)^3)))+(-(65/864/(x-1)^4))+(-(1/32/(x-1)^5)))))))+(1/(x-1)^5)+(2/(x-1)^6)+(1/(x-1)^8))
A257850 = (((-(1152/3925))*differential((A001996+(-((((1/25)*((2*x^2)+x+2))/(x^4+x^3+x^2+x+1))+(-(-(-(-(((1/108)*((7*x)+16))/(x^2+x+1))))))+(-(-(-(-(((1/32)*(x-1))/(x^2+1))))))+(-(-(-(-(((1/36)*(x-2))/((x^2-x)+1))))))+(-(-(-(1/7/(x^6+x^5+x^4+x^3+x^2+x+1)))))+(-(-(-(((1/54)*(x+1))/(x^2+x+1)^2))))+(-(-(-(2435/13824/(x-1)))))+(-(-(1/32/(x+1)^2)))+(-(-(16051/172800/(x-1)^2)))+(-(-(1/384/(x+1)^3)))+(-(-(161/4320/(x-1)^3)))+(-(47/4320/(x-1)^4))+(-(1/480/(x-1)^5))+(1/5040/(x-1)^6))))))+(((1/5)*((15*x^3)+(4*x^2)+(8*x)+9))/((((x^4-x^3)+x^2)-x)+1))+(-(-(((1/5)*((11*x^3)+(16*x^2)+(15*x)+8))/(x^4+x^3+x^2+x+1))))+(-(-(((1/2)*((2*x^3)+(2*x^2)+x))/(x^4+x^3+x^2+x+1)^2)))+(-(-(((1/2)*(((2*x^2)-x)+2))/((((x^4-x^3)+x^2)-x)+1)^2)))+(-(1/2/(x+1)))+(-(33/10/(x-1)))+(9/20/(x-1)^2))
A069907 = (((-1)*(A001996+(-((((1/25)*((2*x^2)+x+2))/(x^4+x^3+x^2+x+1))+(-(-(-(-(((1/108)*((7*x)+16))/(x^2+x+1))))))+(-(-(-(-(((1/32)*(x-1))/(x^2+1))))))+(-(-(-(-(((1/36)*(x-2))/((x^2-x)+1))))))+(-(-(-(1/7/(x^6+x^5+x^4+x^3+x^2+x+1)))))+(-(-(-(785/4608/(x+1)))))+(-(-(-(2435/13824/(x-1)))))+(-(-(1/32/(x+1)^2)))+(-(-(16051/172800/(x-1)^2)))+(-(-(1/384/(x+1)^3)))+(-(-(161/4320/(x-1)^3)))+(-(47/4320/(x-1)^4))+(-(1/480/(x-1)^5))+(1/5040/(x-1)^6)))))+(-(((1/50)*((2*x^3)+x^2+x+2))/((((x^4-x^3)+x^2)-x)+1)))+(-(-(-(-(((1/50)*(x^2+(3*x)+6))/(x^4+x^3+x^2+x+1))))))+(-(-(-(((1/108)*(x+4))/((x^2-x)+1)))))+(-(-(-(((1/36)*(x+2))/(x^2+x+1)))))+(-(-(-(((1/16)*(x+1))/(x^4+1)))))+(-(-(-(((1/64)*(x+1))/(x^2+1)))))+(-(-(6017/2764800/(x+1))))+(-(-(((1/128)*(x+1))/(x^2+1)^2)))+(-(-(605/36864/(x-1))))+(-(-(259/23040/(x+1)^2)))+(-(-(201/51200/(x-1)^2)))+(-(277/92160/(x+1)^3))+(-(155/55296/(x-1)^3))+(-(1/2560/(x+1)^4))+(-(31/27648/(x-1)^4))+(-(1/7680/(x+1)^5))+(-(11/7680/(x-1)^5))+(13/11520/(x-1)^6))
A257890 = (((13824/2435)*differential((A001996+(-((((1/25)*((2*x^2)+x+2))/(x^4+x^3+x^2+x+1))+(-(-(-(-(((1/108)*((7*x)+16))/(x^2+x+1))))))+(-(-(-(-(((1/32)*(x-1))/(x^2+1))))))+(-(-(-(-(((1/36)*(x-2))/((x^2-x)+1))))))+(-(-(-(1/7/(x^6+x^5+x^4+x^3+x^2+x+1)))))+(-(-(-(785/4608/(x+1)))))+(-(-(-(((1/54)*(x+1))/(x^2+x+1)^2))))+(-(-(1/32/(x+1)^2)))+(-(-(16051/172800/(x-1)^2)))+(-(-(1/384/(x+1)^3)))+(-(-(161/4320/(x-1)^3)))+(-(47/4320/(x-1)^4))+(-(1/480/(x-1)^5))+(1/5040/(x-1)^6))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257850 = (((-(8/5))*(A001996+(-((((1/25)*((2*x^2)+x+2))/(x^4+x^3+x^2+x+1))+(-(-(-(-(((1/108)*((7*x)+16))/(x^2+x+1))))))+(-(-(-(-(((1/32)*(x-1))/(x^2+1))))))+(-(-(-(-(((1/36)*(x-2))/((x^2-x)+1))))))+(-(-(-(1/7/(x^6+x^5+x^4+x^3+x^2+x+1)))))+(-(-(-(785/4608/(x+1)))))+(-(-(-(((1/54)*(x+1))/(x^2+x+1)^2))))+(-(-(-(2435/13824/(x-1)))))+(-(-(16051/172800/(x-1)^2)))+(-(-(1/384/(x+1)^3)))+(-(-(161/4320/(x-1)^3)))+(-(47/4320/(x-1)^4))+(-(1/480/(x-1)^5))+(1/5040/(x-1)^6)))))+(((1/5)*((15*x^3)+(4*x^2)+(8*x)+9))/((((x^4-x^3)+x^2)-x)+1))+(-(-(((1/5)*((11*x^3)+(16*x^2)+(15*x)+8))/(x^4+x^3+x^2+x+1))))+(-(-(((1/2)*((2*x^3)+(2*x^2)+x))/(x^4+x^3+x^2+x+1)^2)))+(-(-(((1/2)*(((2*x^2)-x)+2))/((((x^4-x^3)+x^2)-x)+1)^2)))+(-(1/2/(x+1)))+(-(33/10/(x-1)))+(9/20/(x-1)^2))
A257171 = ((2*differential((A001996+(-((((1/25)*((2*x^2)+x+2))/(x^4+x^3+x^2+x+1))+(-(-(-(-(((1/108)*((7*x)+16))/(x^2+x+1))))))+(-(-(-(-(((1/32)*(x-1))/(x^2+1))))))+(-(-(-(-(((1/36)*(x-2))/((x^2-x)+1))))))+(-(-(-(1/7/(x^6+x^5+x^4+x^3+x^2+x+1)))))+(-(-(-(785/4608/(x+1)))))+(-(-(-(((1/54)*(x+1))/(x^2+x+1)^2))))+(-(-(-(2435/13824/(x-1)))))+(-(-(16051/172800/(x-1)^2)))+(-(-(1/384/(x+1)^3)))+(-(-(161/4320/(x-1)^3)))+(-(47/4320/(x-1)^4))+(-(1/480/(x-1)^5))+(1/5040/(x-1)^6))))))+(2*x)+(-(-(3/8/(x+1))))+(-(-(3/8/(x-1))))+(-(3/4/(x-1)^2))+(-(3/8/(x-1)^3))+(-(3/4/(x-1)^4))+(-1))
A257890 = (((172800/16051)*(A001996+(-((((1/25)*((2*x^2)+x+2))/(x^4+x^3+x^2+x+1))+(-(-(-(-(((1/108)*((7*x)+16))/(x^2+x+1))))))+(-(-(-(-(((1/32)*(x-1))/(x^2+1))))))+(-(-(-(-(((1/36)*(x-2))/((x^2-x)+1))))))+(-(-(-(1/7/(x^6+x^5+x^4+x^3+x^2+x+1)))))+(-(-(-(785/4608/(x+1)))))+(-(-(-(((1/54)*(x+1))/(x^2+x+1)^2))))+(-(-(-(2435/13824/(x-1)))))+(-(-(1/32/(x+1)^2)))+(-(-(1/384/(x+1)^3)))+(-(-(161/4320/(x-1)^3)))+(-(47/4320/(x-1)^4))+(-(1/480/(x-1)^5))+(1/5040/(x-1)^6)))))+(1/(x-1)^4)+(1/(x-1)^6))
A257464 = (((3600/2293)*differential((A001996+(-((((1/25)*((2*x^2)+x+2))/(x^4+x^3+x^2+x+1))+(-(-(-(-(((1/108)*((7*x)+16))/(x^2+x+1))))))+(-(-(-(-(((1/32)*(x-1))/(x^2+1))))))+(-(-(-(-(((1/36)*(x-2))/((x^2-x)+1))))))+(-(-(-(1/7/(x^6+x^5+x^4+x^3+x^2+x+1)))))+(-(-(-(785/4608/(x+1)))))+(-(-(-(((1/54)*(x+1))/(x^2+x+1)^2))))+(-(-(-(2435/13824/(x-1)))))+(-(-(1/32/(x+1)^2)))+(-(-(1/384/(x+1)^3)))+(-(-(161/4320/(x-1)^3)))+(-(47/4320/(x-1)^4))+(-(1/480/(x-1)^5))+(1/5040/(x-1)^6))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257171 = (((-48)*(A001996+(-((((1/25)*((2*x^2)+x+2))/(x^4+x^3+x^2+x+1))+(-(-(-(-(((1/108)*((7*x)+16))/(x^2+x+1))))))+(-(-(-(-(((1/32)*(x-1))/(x^2+1))))))+(-(-(-(-(((1/36)*(x-2))/((x^2-x)+1))))))+(-(-(-(1/7/(x^6+x^5+x^4+x^3+x^2+x+1)))))+(-(-(-(785/4608/(x+1)))))+(-(-(-(((1/54)*(x+1))/(x^2+x+1)^2))))+(-(-(-(2435/13824/(x-1)))))+(-(-(1/32/(x+1)^2)))+(-(-(16051/172800/(x-1)^2)))+(-(-(161/4320/(x-1)^3)))+(-(47/4320/(x-1)^4))+(-(1/480/(x-1)^5))+(1/5040/(x-1)^6)))))+(2*x)+(-(-(3/8/(x+1))))+(-(-(3/8/(x-1))))+(-(3/4/(x-1)^2))+(-(3/8/(x-1)^3))+(-(3/4/(x-1)^4))+(-1))
A257850 = (((192/5)*integrate((A001996+(-((((1/25)*((2*x^2)+x+2))/(x^4+x^3+x^2+x+1))+(-(-(-(-(((1/108)*((7*x)+16))/(x^2+x+1))))))+(-(-(-(-(((1/32)*(x-1))/(x^2+1))))))+(-(-(-(-(((1/36)*(x-2))/((x^2-x)+1))))))+(-(-(-(1/7/(x^6+x^5+x^4+x^3+x^2+x+1)))))+(-(-(-(785/4608/(x+1)))))+(-(-(-(((1/54)*(x+1))/(x^2+x+1)^2))))+(-(-(-(2435/13824/(x-1)))))+(-(-(1/32/(x+1)^2)))+(-(-(16051/172800/(x-1)^2)))+(-(-(161/4320/(x-1)^3)))+(-(47/4320/(x-1)^4))+(-(1/480/(x-1)^5))+(1/5040/(x-1)^6))))))+(((1/5)*((15*x^3)+(4*x^2)+(8*x)+9))/((((x^4-x^3)+x^2)-x)+1))+(-(-(((1/5)*((11*x^3)+(16*x^2)+(15*x)+8))/(x^4+x^3+x^2+x+1))))+(-(-(((1/2)*((2*x^3)+(2*x^2)+x))/(x^4+x^3+x^2+x+1)^2)))+(-(-(((1/2)*(((2*x^2)-x)+2))/((((x^4-x^3)+x^2)-x)+1)^2)))+(-(1/2/(x+1)))+(-(33/10/(x-1)))+(9/20/(x-1)^2))
A254233 = (((-1)*differential((A001996+(-((((1/25)*((2*x^2)+x+2))/(x^4+x^3+x^2+x+1))+(-(-(-(-(((1/108)*((7*x)+16))/(x^2+x+1))))))+(-(-(-(-(((1/32)*(x-1))/(x^2+1))))))+(-(-(-(-(((1/36)*(x-2))/((x^2-x)+1))))))+(-(-(-(1/7/(x^6+x^5+x^4+x^3+x^2+x+1)))))+(-(-(-(785/4608/(x+1)))))+(-(-(-(((1/54)*(x+1))/(x^2+x+1)^2))))+(-(-(-(2435/13824/(x-1)))))+(-(-(1/32/(x+1)^2)))+(-(-(16051/172800/(x-1)^2)))+(-(-(161/4320/(x-1)^3)))+(-(47/4320/(x-1)^4))+(-(1/480/(x-1)^5))+(1/5040/(x-1)^6))))))+(((1/972)*((113*x)+137))/(x^2+x+1))+(-(-(-(-(-(((1/12)*(x-1))/((x^2-x)+1)))))))+(-(-(-(-(3/32/(x^2+1))))))+(-(-(-(-(((1/162)*((12*x)+11))/(x^2+x+1)^2)))))+(-(-(-(-(41/384/(x+1))))))+(-(-(-(-(4345/31104/(x-1))))))+(-(-(-(83/1536/(x+1)^2))))+(-(-(-(9205/124416/(x-1)^2))))+(-(-(-(((1/27)*x)/(x^2+x+1)^3))))+(-(-(-(3/128/(x+1)^3))))+(-(-(-(3/64/(x-1)^3))))+(-(-(23/576/(x-1)^4)))+(-(-(5/144/(x-1)^5)))+(-(1/32/(x-1)^6))+(-(1/36/(x-1)^7))+(1/36/(x-1)^8))
A257464 = (((-(180/23))*(A001996+(-((((1/25)*((2*x^2)+x+2))/(x^4+x^3+x^2+x+1))+(-(-(-(-(((1/108)*((7*x)+16))/(x^2+x+1))))))+(-(-(-(-(((1/32)*(x-1))/(x^2+1))))))+(-(-(-(-(((1/36)*(x-2))/((x^2-x)+1))))))+(-(-(-(1/7/(x^6+x^5+x^4+x^3+x^2+x+1)))))+(-(-(-(785/4608/(x+1)))))+(-(-(-(((1/54)*(x+1))/(x^2+x+1)^2))))+(-(-(-(2435/13824/(x-1)))))+(-(-(1/32/(x+1)^2)))+(-(-(16051/172800/(x-1)^2)))+(-(-(1/384/(x+1)^3)))+(-(47/4320/(x-1)^4))+(-(1/480/(x-1)^5))+(1/5040/(x-1)^6)))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257890 = (((-(8640/161))*integrate((A001996+(-((((1/25)*((2*x^2)+x+2))/(x^4+x^3+x^2+x+1))+(-(-(-(-(((1/108)*((7*x)+16))/(x^2+x+1))))))+(-(-(-(-(((1/32)*(x-1))/(x^2+1))))))+(-(-(-(-(((1/36)*(x-2))/((x^2-x)+1))))))+(-(-(-(1/7/(x^6+x^5+x^4+x^3+x^2+x+1)))))+(-(-(-(785/4608/(x+1)))))+(-(-(-(((1/54)*(x+1))/(x^2+x+1)^2))))+(-(-(-(2435/13824/(x-1)))))+(-(-(1/32/(x+1)^2)))+(-(-(16051/172800/(x-1)^2)))+(-(-(1/384/(x+1)^3)))+(-(47/4320/(x-1)^4))+(-(1/480/(x-1)^5))+(1/5040/(x-1)^6))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257890 = (((-(1440/161))*differential((A001996+(-((((1/25)*((2*x^2)+x+2))/(x^4+x^3+x^2+x+1))+(-(-(-(-(((1/108)*((7*x)+16))/(x^2+x+1))))))+(-(-(-(-(((1/32)*(x-1))/(x^2+1))))))+(-(-(-(-(((1/36)*(x-2))/((x^2-x)+1))))))+(-(-(-(1/7/(x^6+x^5+x^4+x^3+x^2+x+1)))))+(-(-(-(785/4608/(x+1)))))+(-(-(-(((1/54)*(x+1))/(x^2+x+1)^2))))+(-(-(-(2435/13824/(x-1)))))+(-(-(1/32/(x+1)^2)))+(-(-(16051/172800/(x-1)^2)))+(-(-(1/384/(x+1)^3)))+(-(47/4320/(x-1)^4))+(-(1/480/(x-1)^5))+(1/5040/(x-1)^6))))))+(1/(x-1)^2)+(1/(x-1)^6))
A257890 = (((-(4320/47))*(A001996+(-((((1/25)*((2*x^2)+x+2))/(x^4+x^3+x^2+x+1))+(-(-(-(-(((1/108)*((7*x)+16))/(x^2+x+1))))))+(-(-(-(-(((1/32)*(x-1))/(x^2+1))))))+(-(-(-(-(((1/36)*(x-2))/((x^2-x)+1))))))+(-(-(-(1/7/(x^6+x^5+x^4+x^3+x^2+x+1)))))+(-(-(-(785/4608/(x+1)))))+(-(-(-(((1/54)*(x+1))/(x^2+x+1)^2))))+(-(-(-(2435/13824/(x-1)))))+(-(-(1/32/(x+1)^2)))+(-(-(16051/172800/(x-1)^2)))+(-(-(1/384/(x+1)^3)))+(-(-(161/4320/(x-1)^3)))+(-(1/480/(x-1)^5))+(1/5040/(x-1)^6)))))+(1/(x-1)^2)+(1/(x-1)^6))
A257464 = (((-(3780/47))*integrate((A001996+(-((((1/25)*((2*x^2)+x+2))/(x^4+x^3+x^2+x+1))+(-(-(-(-(((1/108)*((7*x)+16))/(x^2+x+1))))))+(-(-(-(-(((1/32)*(x-1))/(x^2+1))))))+(-(-(-(-(((1/36)*(x-2))/((x^2-x)+1))))))+(-(-(-(1/7/(x^6+x^5+x^4+x^3+x^2+x+1)))))+(-(-(-(785/4608/(x+1)))))+(-(-(-(((1/54)*(x+1))/(x^2+x+1)^2))))+(-(-(-(2435/13824/(x-1)))))+(-(-(1/32/(x+1)^2)))+(-(-(16051/172800/(x-1)^2)))+(-(-(1/384/(x+1)^3)))+(-(-(161/4320/(x-1)^3)))+(-(1/480/(x-1)^5))+(1/5040/(x-1)^6))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257464 = (((-(540/47))*differential((A001996+(-((((1/25)*((2*x^2)+x+2))/(x^4+x^3+x^2+x+1))+(-(-(-(-(((1/108)*((7*x)+16))/(x^2+x+1))))))+(-(-(-(-(((1/32)*(x-1))/(x^2+1))))))+(-(-(-(-(((1/36)*(x-2))/((x^2-x)+1))))))+(-(-(-(1/7/(x^6+x^5+x^4+x^3+x^2+x+1)))))+(-(-(-(785/4608/(x+1)))))+(-(-(-(((1/54)*(x+1))/(x^2+x+1)^2))))+(-(-(-(2435/13824/(x-1)))))+(-(-(1/32/(x+1)^2)))+(-(-(16051/172800/(x-1)^2)))+(-(-(1/384/(x+1)^3)))+(-(-(161/4320/(x-1)^3)))+(-(1/480/(x-1)^5))+(1/5040/(x-1)^6))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(7/24/(x-1)^3))+(-(1/2/(x-1)^4)))
A257464 = ((240*(A001996+(-((((1/25)*((2*x^2)+x+2))/(x^4+x^3+x^2+x+1))+(-(-(-(-(((1/108)*((7*x)+16))/(x^2+x+1))))))+(-(-(-(-(((1/32)*(x-1))/(x^2+1))))))+(-(-(-(-(((1/36)*(x-2))/((x^2-x)+1))))))+(-(-(-(1/7/(x^6+x^5+x^4+x^3+x^2+x+1)))))+(-(-(-(785/4608/(x+1)))))+(-(-(-(((1/54)*(x+1))/(x^2+x+1)^2))))+(-(-(-(2435/13824/(x-1)))))+(-(-(1/32/(x+1)^2)))+(-(-(16051/172800/(x-1)^2)))+(-(-(1/384/(x+1)^3)))+(-(-(161/4320/(x-1)^3)))+(-(47/4320/(x-1)^4))+(1/5040/(x-1)^6)))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(7/24/(x-1)^3))+(-(1/2/(x-1)^4)))
A257890 = ((1920*integrate((A001996+(-((((1/25)*((2*x^2)+x+2))/(x^4+x^3+x^2+x+1))+(-(-(-(-(((1/108)*((7*x)+16))/(x^2+x+1))))))+(-(-(-(-(((1/32)*(x-1))/(x^2+1))))))+(-(-(-(-(((1/36)*(x-2))/((x^2-x)+1))))))+(-(-(-(1/7/(x^6+x^5+x^4+x^3+x^2+x+1)))))+(-(-(-(785/4608/(x+1)))))+(-(-(-(((1/54)*(x+1))/(x^2+x+1)^2))))+(-(-(-(2435/13824/(x-1)))))+(-(-(1/32/(x+1)^2)))+(-(-(16051/172800/(x-1)^2)))+(-(-(1/384/(x+1)^3)))+(-(-(161/4320/(x-1)^3)))+(-(47/4320/(x-1)^4))+(1/5040/(x-1)^6))))))+(1/(x-1)^2)+(1/(x-1)^6))
A257890 = ((96*differential((A001996+(-((((1/25)*((2*x^2)+x+2))/(x^4+x^3+x^2+x+1))+(-(-(-(-(((1/108)*((7*x)+16))/(x^2+x+1))))))+(-(-(-(-(((1/32)*(x-1))/(x^2+1))))))+(-(-(-(-(((1/36)*(x-2))/((x^2-x)+1))))))+(-(-(-(1/7/(x^6+x^5+x^4+x^3+x^2+x+1)))))+(-(-(-(785/4608/(x+1)))))+(-(-(-(((1/54)*(x+1))/(x^2+x+1)^2))))+(-(-(-(2435/13824/(x-1)))))+(-(-(1/32/(x+1)^2)))+(-(-(16051/172800/(x-1)^2)))+(-(-(1/384/(x+1)^3)))+(-(-(161/4320/(x-1)^3)))+(-(47/4320/(x-1)^4))+(1/5040/(x-1)^6))))))+(1/(x-1)^2)+(1/(x-1)^4))
A257890 = ((5040*(A001996+(-((((1/25)*((2*x^2)+x+2))/(x^4+x^3+x^2+x+1))+(-(-(-(-(((1/108)*((7*x)+16))/(x^2+x+1))))))+(-(-(-(-(((1/32)*(x-1))/(x^2+1))))))+(-(-(-(-(((1/36)*(x-2))/((x^2-x)+1))))))+(-(-(-(1/7/(x^6+x^5+x^4+x^3+x^2+x+1)))))+(-(-(-(785/4608/(x+1)))))+(-(-(-(((1/54)*(x+1))/(x^2+x+1)^2))))+(-(-(-(2435/13824/(x-1)))))+(-(-(1/32/(x+1)^2)))+(-(-(16051/172800/(x-1)^2)))+(-(-(1/384/(x+1)^3)))+(-(-(161/4320/(x-1)^3)))+(-(47/4320/(x-1)^4))+(-(1/480/(x-1)^5))))))+(1/(x-1)^2)+(1/(x-1)^4))
A257464 = ((12600*integrate((A001996+(-((((1/25)*((2*x^2)+x+2))/(x^4+x^3+x^2+x+1))+(-(-(-(-(((1/108)*((7*x)+16))/(x^2+x+1))))))+(-(-(-(-(((1/32)*(x-1))/(x^2+1))))))+(-(-(-(-(((1/36)*(x-2))/((x^2-x)+1))))))+(-(-(-(1/7/(x^6+x^5+x^4+x^3+x^2+x+1)))))+(-(-(-(785/4608/(x+1)))))+(-(-(-(((1/54)*(x+1))/(x^2+x+1)^2))))+(-(-(-(2435/13824/(x-1)))))+(-(-(1/32/(x+1)^2)))+(-(-(16051/172800/(x-1)^2)))+(-(-(1/384/(x+1)^3)))+(-(-(161/4320/(x-1)^3)))+(-(47/4320/(x-1)^4))+(-(1/480/(x-1)^5)))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(7/24/(x-1)^3))+(-(1/2/(x-1)^4)))
A257201 = (((-1680)*differential((A001996+(-((((1/25)*((2*x^2)+x+2))/(x^4+x^3+x^2+x+1))+(-(-(-(-(((1/108)*((7*x)+16))/(x^2+x+1))))))+(-(-(-(-(((1/32)*(x-1))/(x^2+1))))))+(-(-(-(-(((1/36)*(x-2))/((x^2-x)+1))))))+(-(-(-(1/7/(x^6+x^5+x^4+x^3+x^2+x+1)))))+(-(-(-(785/4608/(x+1)))))+(-(-(-(((1/54)*(x+1))/(x^2+x+1)^2))))+(-(-(-(2435/13824/(x-1)))))+(-(-(1/32/(x+1)^2)))+(-(-(16051/172800/(x-1)^2)))+(-(-(1/384/(x+1)^3)))+(-(-(161/4320/(x-1)^3)))+(-(47/4320/(x-1)^4))+(-(1/480/(x-1)^5)))))))+(1/(x-1)^5)+(2/(x-1)^6)+(1/(x-1)^8))
A241874 = (((5/162)*differential((A002001+(-(1/4)))))+(-(4/125/((6*x)-1)))+(-(-(-(9/160/((5*x)-1)))))+(-(-(-(1/24/((4*x)-1)))))+(-(-(5/288/((3*x)-1))))+(-(-(3/32/((2*x)-1))))+(-(-(593/6000/(x-1))))+(-(-(3/80/((5*x)-1)^2)))+(-(-(13/144/((3*x)-1)^2)))+(-(1/16/((2*x)-1)^2))+(-(923/10800/(x-1)^2))+(-(1/24/((4*x)-1)^3))+(-(17/144/((3*x)-1)^3))+(-(1/16/((2*x)-1)^3))+(-(19/720/(x-1)^3))+(-(1/24/((3*x)-1)^4))+(-(3/32/((2*x)-1)^4))+(-(1/32/((2*x)-1)^5))+(-(3/160)))
A253487 = (((-1)*A002011)+((((-(4*x))+1)^(3/2)-1)/(x^2*((-(4*x))+1)^(3/2)))+(6/(x*((-(4*x))+1)^(3/2))))
A051133 = ((1/8)*x*differential(A002011))
A241874 = (((5/1296)*differential(A002023))+(-(4/125/((6*x)-1)))+(-(-(-(9/160/((5*x)-1)))))+(-(-(-(1/24/((4*x)-1)))))+(-(-(5/288/((3*x)-1))))+(-(-(3/32/((2*x)-1))))+(-(-(593/6000/(x-1))))+(-(-(3/80/((5*x)-1)^2)))+(-(-(13/144/((3*x)-1)^2)))+(-(1/16/((2*x)-1)^2))+(-(923/10800/(x-1)^2))+(-(1/24/((4*x)-1)^3))+(-(17/144/((3*x)-1)^3))+(-(1/16/((2*x)-1)^3))+(-(19/720/(x-1)^3))+(-(1/24/((3*x)-1)^4))+(-(3/32/((2*x)-1)^4))+(-(1/32/((2*x)-1)^5))+(-(3/160)))
A241874 = (((5/1512)*differential(A002042))+(-(4/125/((6*x)-1)))+(-(-(-(9/160/((5*x)-1)))))+(-(-(-(1/24/((4*x)-1)))))+(-(-(5/288/((3*x)-1))))+(-(-(3/32/((2*x)-1))))+(-(-(593/6000/(x-1))))+(-(-(3/80/((5*x)-1)^2)))+(-(-(13/144/((3*x)-1)^2)))+(-(1/16/((2*x)-1)^2))+(-(923/10800/(x-1)^2))+(-(1/24/((4*x)-1)^3))+(-(17/144/((3*x)-1)^3))+(-(1/16/((2*x)-1)^3))+(-(19/720/(x-1)^3))+(-(1/24/((3*x)-1)^4))+(-(3/32/((2*x)-1)^4))+(-(1/32/((2*x)-1)^5))+(-(3/160)))
A094219 = ((35*(A002056+(-((-(-(25/(x^2*((-(4*x))+1)^(5/2)))))+(-(((1/2)*(((-(4*x))+1)^(5/2)-11))/(x^4*((-(4*x))+1)^(5/2))))+(-(20/(x^3*((-(4*x))+1)^(5/2))))+(-(((1/2)*(((-(4*x))+1)^(5/2)-1))/(x^5*((-(4*x))+1)^(5/2))))))))+(-(((2*x^2)+(7*x)+42)/((-(4*x))+1)^(5/2)))+(-(-(((7/2)*(((-(4*x))+1)^(5/2)-21))/(x^3*((-(4*x))+1)^(5/2)))))+(-(-(175/(x^2*((-(4*x))+1)^(5/2)))))+(-((2*((2*((-(4*x))+1)^(5/2))-7))/(x^4*((-(4*x))+1)^(5/2))))+(-((((-(4*x))+1)^(5/2)-1)/(x^5*((-(4*x))+1)^(5/2)))))
A094219 = ((7*(A002056+(-((5/(x*((-(4*x))+1)^(5/2)))+(-(((1/2)*(((-(4*x))+1)^(5/2)-11))/(x^4*((-(4*x))+1)^(5/2))))+(-(20/(x^3*((-(4*x))+1)^(5/2))))+(-(((1/2)*(((-(4*x))+1)^(5/2)-1))/(x^5*((-(4*x))+1)^(5/2))))))))+(-(((2*x^2)+(7*x)+42)/((-(4*x))+1)^(5/2)))+(-(-(175/(x*((-(4*x))+1)^(5/2)))))+(-(-(((7/2)*(((-(4*x))+1)^(5/2)-21))/(x^3*((-(4*x))+1)^(5/2)))))+(-((2*((2*((-(4*x))+1)^(5/2))-7))/(x^4*((-(4*x))+1)^(5/2))))+(-((((-(4*x))+1)^(5/2)-1)/(x^5*((-(4*x))+1)^(5/2)))))
A003516 = ((1/2/x^3)*A002058)
A257890 = (((1/3)*differential((A002061+(-((-(4/(x-1)^2))+(-(2/(x-1)^3)))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257890 = (((-(1/4))*(A002061+(-((-(3/(x-1)))+(-(2/(x-1)^3))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257464 = (((-(7/192))*differential((A002061+(-((-(3/(x-1)))+(-(2/(x-1)^3)))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257464 = (((7/48)*(A002061+(-((-(3/(x-1)))+(-(4/(x-1)^2))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257890 = ((1*integrate((A002061+(-((-(3/(x-1)))+(-(4/(x-1)^2)))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257890 = (((1/6)*differential((A002061+(-((-(3/(x-1)))+(-(4/(x-1)^2)))))))+(1/(x-1)^2)+(1/(x-1)^6))
A257890 = (((1/3)*differential((A002061+(-((-(4/(x-1)^2))+(-(2/(x-1)^3)))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257890 = (((-(1/4))*(A002061+(-((-(3/(x-1)))+(-(2/(x-1)^3))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257464 = (((-(7/192))*differential((A002061+(-((-(3/(x-1)))+(-(2/(x-1)^3)))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257464 = (((7/48)*(A002061+(-((-(3/(x-1)))+(-(4/(x-1)^2))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257890 = ((1*integrate((A002061+(-((-(3/(x-1)))+(-(4/(x-1)^2)))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257890 = (((1/6)*differential((A002061+(-((-(3/(x-1)))+(-(4/(x-1)^2)))))))+(1/(x-1)^2)+(1/(x-1)^6))
A255978 = ((2*(A002062+(-((1/(x-1))+(1/(x-1)^2)))))+(((1/3)*(x+2))/(x^2+x+1))+(2/3/(x-1)))
A257890 = (((-1)*differential((A002062+(-((-(x/((x^2+x)-1)))+(1/(x-1)^2))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257890 = ((1*(A002062+(-((-(x/((x^2+x)-1)))+(1/(x-1))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257464 = (((7/48)*differential((A002062+(-((-(x/((x^2+x)-1)))+(1/(x-1)))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A241874 = (((5/1944)*differential(A002063))+(-(4/125/((6*x)-1)))+(-(-(-(9/160/((5*x)-1)))))+(-(-(-(1/24/((4*x)-1)))))+(-(-(5/288/((3*x)-1))))+(-(-(3/32/((2*x)-1))))+(-(-(593/6000/(x-1))))+(-(-(3/80/((5*x)-1)^2)))+(-(-(13/144/((3*x)-1)^2)))+(-(1/16/((2*x)-1)^2))+(-(923/10800/(x-1)^2))+(-(1/24/((4*x)-1)^3))+(-(17/144/((3*x)-1)^3))+(-(1/16/((2*x)-1)^3))+(-(19/720/(x-1)^3))+(-(1/24/((3*x)-1)^4))+(-(3/32/((2*x)-1)^4))+(-(1/32/((2*x)-1)^5))+(-(3/160)))
A248917 = (((3/2)*differential((A002064+(-((-(1/(x-1)))+(1/((2*x)-1)^2))))))+(-(1/((2*x)-1)))+(-(1/(x-1)))+(-(2/((2*x)-1)^3)))
A257890 = ((1*differential((A002064+(-((1/((2*x)-1))+(1/((2*x)-1)^2))))))+(1/(x-1)^4)+(1/(x-1)^6))
A248917 = (((-3)*(A002064+(-((1/((2*x)-1))+(-(1/(x-1)))))))+(-(1/((2*x)-1)))+(-(1/(x-1)))+(-(2/((2*x)-1)^3)))
A248917 = (((1/2)*differential((A002064+(-((1/((2*x)-1))+(-(1/(x-1))))))))+(-(1/((2*x)-1)))+(-(1/(x-1)))+(-(3/((2*x)-1)^2)))
A241874 = (((1/432)*differential(A002066))+(-(4/125/((6*x)-1)))+(-(-(-(9/160/((5*x)-1)))))+(-(-(-(1/24/((4*x)-1)))))+(-(-(5/288/((3*x)-1))))+(-(-(3/32/((2*x)-1))))+(-(-(593/6000/(x-1))))+(-(-(3/80/((5*x)-1)^2)))+(-(-(13/144/((3*x)-1)^2)))+(-(1/16/((2*x)-1)^2))+(-(923/10800/(x-1)^2))+(-(1/24/((4*x)-1)^3))+(-(17/144/((3*x)-1)^3))+(-(1/16/((2*x)-1)^3))+(-(19/720/(x-1)^3))+(-(1/24/((3*x)-1)^4))+(-(3/32/((2*x)-1)^4))+(-(1/32/((2*x)-1)^5))+(-(3/160)))
A257890 = (((-(1/5))*differential((A002081+(-((-((x-2)/(x^2+1)))+(5/(x-1)^2))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257890 = (((1/5)*(A002081+(-((-((x-2)/(x^2+1)))+(5/(x-1))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257464 = (((7/240)*differential((A002081+(-((-((x-2)/(x^2+1)))+(5/(x-1)))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257890 = (((-(1/8))*(A002082+(-((-(((4*x^3)-(4*x^2)-7)/((((x^4-x^3)+x^2)-x)+1)))+(-(((2*x^2)+(2*x)+1)/(x^4+x^3+x^2+x+1)))+(-(4/(x-1)^3))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257464 = (((-(7/384))*differential((A002082+(-((-(((4*x^3)-(4*x^2)-7)/((((x^4-x^3)+x^2)-x)+1)))+(-(((2*x^2)+(2*x)+1)/(x^4+x^3+x^2+x+1)))+(-(4/(x-1)^3)))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257464 = (((7/96)*(A002082+(-((-(((4*x^3)-(4*x^2)-7)/((((x^4-x^3)+x^2)-x)+1)))+(-(((2*x^2)+(2*x)+1)/(x^4+x^3+x^2+x+1)))+(-(8/(x-1)^2))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257890 = (((1/2)*integrate((A002082+(-((-(((4*x^3)-(4*x^2)-7)/((((x^4-x^3)+x^2)-x)+1)))+(-(((2*x^2)+(2*x)+1)/(x^4+x^3+x^2+x+1)))+(-(8/(x-1)^2)))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257890 = (((1/12)*differential((A002082+(-((-(((4*x^3)-(4*x^2)-7)/((((x^4-x^3)+x^2)-x)+1)))+(-(((2*x^2)+(2*x)+1)/(x^4+x^3+x^2+x+1)))+(-(8/(x-1)^2)))))))+(1/(x-1)^2)+(1/(x-1)^6))
A241874 = (((5/2376)*differential(A002089))+(-(4/125/((6*x)-1)))+(-(-(-(9/160/((5*x)-1)))))+(-(-(-(1/24/((4*x)-1)))))+(-(-(5/288/((3*x)-1))))+(-(-(3/32/((2*x)-1))))+(-(-(593/6000/(x-1))))+(-(-(3/80/((5*x)-1)^2)))+(-(-(13/144/((3*x)-1)^2)))+(-(1/16/((2*x)-1)^2))+(-(923/10800/(x-1)^2))+(-(1/24/((4*x)-1)^3))+(-(17/144/((3*x)-1)^3))+(-(1/16/((2*x)-1)^3))+(-(19/720/(x-1)^3))+(-(1/24/((3*x)-1)^4))+(-(3/32/((2*x)-1)^4))+(-(1/32/((2*x)-1)^5))+(-(3/160)))
A248917 = (((-(3/2))*differential((A002248+(-(((x-2)/(((2*x^2)-x)+1))+(-(1/(x-1))))))))+(-(1/((2*x)-1)))+(-(1/(x-1)))+(-(2/((2*x)-1)^3)))
A257890 = ((1*differential((A002248+(-(((x-2)/(((2*x^2)-x)+1))+(-(1/((2*x)-1))))))))+(1/(x-1)^4)+(1/(x-1)^6))
A241874 = (((5/216)*differential((A002250+(-(2/((3*x)-1))))))+(-(4/125/((6*x)-1)))+(-(-(-(9/160/((5*x)-1)))))+(-(-(-(1/24/((4*x)-1)))))+(-(-(5/288/((3*x)-1))))+(-(-(3/32/((2*x)-1))))+(-(-(593/6000/(x-1))))+(-(-(3/80/((5*x)-1)^2)))+(-(-(13/144/((3*x)-1)^2)))+(-(1/16/((2*x)-1)^2))+(-(923/10800/(x-1)^2))+(-(1/24/((4*x)-1)^3))+(-(17/144/((3*x)-1)^3))+(-(1/16/((2*x)-1)^3))+(-(19/720/(x-1)^3))+(-(1/24/((3*x)-1)^4))+(-(3/32/((2*x)-1)^4))+(-(1/32/((2*x)-1)^5))+(-(3/160)))
A248088 = (((-(1/12))*differential((A002250+(-(-(1/((4*x)-1)))))))+(((1/6)*((2*x)+1))/((3*x^2)+(2*x)+1))+(-(1/3/((3*x)-1))))
A257890 = (((-(3/2))*differential((A002264+(-((((1/3)*(x+1))/(x^2+x+1))+(1/3/(x-1)^2))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257890 = ((3*(A002264+(-((((1/3)*(x+1))/(x^2+x+1))+(2/3/(x-1))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257464 = (((7/16)*differential((A002264+(-((((1/3)*(x+1))/(x^2+x+1))+(2/3/(x-1)))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257850 = (((2/5)*differential((A002265+(-((((1/4)*(x+1))/(x^2+1))+(5/8/(x-1))+(1/4/(x-1)^2))))))+(((1/5)*((15*x^3)+(4*x^2)+(8*x)+9))/((((x^4-x^3)+x^2)-x)+1))+(-(-(((1/5)*((11*x^3)+(16*x^2)+(15*x)+8))/(x^4+x^3+x^2+x+1))))+(-(-(((1/2)*((2*x^3)+(2*x^2)+x))/(x^4+x^3+x^2+x+1)^2)))+(-(-(((1/2)*(((2*x^2)-x)+2))/((((x^4-x^3)+x^2)-x)+1)^2)))+(-(1/2/(x+1)))+(-(33/10/(x-1)))+(9/20/(x-1)^2))
A257890 = (((-(8/5))*differential((A002265+(-((((1/4)*(x+1))/(x^2+1))+(1/8/(x+1))+(1/4/(x-1)^2))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257890 = ((4*(A002265+(-((((1/4)*(x+1))/(x^2+1))+(1/8/(x+1))+(5/8/(x-1))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257464 = (((7/12)*differential((A002265+(-((((1/4)*(x+1))/(x^2+1))+(1/8/(x+1))+(5/8/(x-1)))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257890 = (((-(5/3))*differential((A002266+(-((((1/5)*((2*x^3)+(3*x^2)+(3*x)+2))/(x^4+x^3+x^2+x+1))+(1/5/(x-1)^2))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257890 = ((5*(A002266+(-((((1/5)*((2*x^3)+(3*x^2)+(3*x)+2))/(x^4+x^3+x^2+x+1))+(3/5/(x-1))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257464 = (((35/48)*differential((A002266+(-((((1/5)*((2*x^3)+(3*x^2)+(3*x)+2))/(x^4+x^3+x^2+x+1))+(3/5/(x-1)))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A255381 = (((729/1000)*differential((A002275+(-(1/9/(x-1))))))+(-(9/50/((10*x)-1)))+(1/100))
A257890 = (((-9)*differential((A002275+(-(-(1/9/((10*x)-1)))))))+(1/(x-1)^4)+(1/(x-1)^6))
A255381 = (((243/2000)*differential((A002280+(-(2/3/(x-1))))))+(-(9/50/((10*x)-1)))+(1/100))
A257890 = (((-(3/2))*differential((A002280+(-(-(2/3/((10*x)-1)))))))+(1/(x-1)^4)+(1/(x-1)^6))
A255381 = (((729/7000)*differential((A002281+(-(7/9/(x-1))))))+(-(9/50/((10*x)-1)))+(1/100))
A257890 = (((-(9/7))*differential((A002281+(-(-(7/9/((10*x)-1)))))))+(1/(x-1)^4)+(1/(x-1)^6))
A255381 = (((729/8000)*differential((A002282+(-(8/9/(x-1))))))+(-(9/50/((10*x)-1)))+(1/100))
A257890 = (((-(9/8))*differential((A002282+(-(-(8/9/((10*x)-1)))))))+(1/(x-1)^4)+(1/(x-1)^6))
A255381 = (((81/1000)*differential((A002283+(-(1/(x-1))))))+(-(9/50/((10*x)-1)))+(1/100))
A257890 = (((-1)*differential((A002283+(-(-(1/((10*x)-1)))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257464 = (((-(7/24))*(A002299+(-((18/(x-1)^4)+(48/(x-1)^5)+(32/(x-1)^6)))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257890 = (((-2)*integrate((A002299+(-((18/(x-1)^4)+(48/(x-1)^5)+(32/(x-1)^6))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257890 = (((-(1/3))*differential((A002299+(-((18/(x-1)^4)+(48/(x-1)^5)+(32/(x-1)^6))))))+(1/(x-1)^2)+(1/(x-1)^6))
A257890 = (((1/18)*(A002299+(-((1/(x-1)^3)+(48/(x-1)^5)+(32/(x-1)^6)))))+(1/(x-1)^2)+(1/(x-1)^6))
A257464 = (((7/144)*integrate((A002299+(-((1/(x-1)^3)+(48/(x-1)^5)+(32/(x-1)^6))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257464 = (((1/144)*differential((A002299+(-((1/(x-1)^3)+(48/(x-1)^5)+(32/(x-1)^6))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(7/24/(x-1)^3))+(-(1/2/(x-1)^4)))
A257464 = (((-(1/96))*(A002299+(-((1/(x-1)^3)+(18/(x-1)^4)+(32/(x-1)^6)))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(7/24/(x-1)^3))+(-(1/2/(x-1)^4)))
A257890 = (((-(1/12))*integrate((A002299+(-((1/(x-1)^3)+(18/(x-1)^4)+(32/(x-1)^6))))))+(1/(x-1)^2)+(1/(x-1)^6))
A257890 = (((-(1/240))*differential((A002299+(-((1/(x-1)^3)+(18/(x-1)^4)+(32/(x-1)^6))))))+(1/(x-1)^2)+(1/(x-1)^4))
A257890 = (((1/32)*(A002299+(-((1/(x-1)^3)+(18/(x-1)^4)+(48/(x-1)^5)))))+(1/(x-1)^2)+(1/(x-1)^4))
A257464 = (((5/64)*integrate((A002299+(-((1/(x-1)^3)+(18/(x-1)^4)+(48/(x-1)^5))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(7/24/(x-1)^3))+(-(1/2/(x-1)^4)))
A257201 = (((-(1/96))*differential((A002299+(-((1/(x-1)^3)+(18/(x-1)^4)+(48/(x-1)^5))))))+(1/(x-1)^5)+(2/(x-1)^6)+(1/(x-1)^8))
A245926 = (((sqrt(2)*sqrt((-((x-sqrt(((x^2-(14*x))+1))-1)/((x^2-(14*x))+1)))))/((sqrt(2)*log(((x-(2*sqrt(2))-3)/((x+(2*sqrt(2)))-3))))+log(((x^2-(6*x))+1))))*integrate(A002315))
A257890 = (((-(1/2))*(A002378+(-(-(2/(x-1)^3)))))+(1/(x-1)^4)+(1/(x-1)^6))
A257464 = (((-(7/96))*differential((A002378+(-(-(2/(x-1)^3))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257464 = (((7/48)*(A002378+(-(-(2/(x-1)^2)))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257890 = ((1*integrate((A002378+(-(-(2/(x-1)^2))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257890 = (((1/6)*differential((A002378+(-(-(2/(x-1)^2))))))+(1/(x-1)^2)+(1/(x-1)^6))
A224290 = (((5/2048)*A002409)+(-((1/32)*x^6))+(-((3/64)*x^5))+(-((3/16)*x^4))+(-((17/64)*x^3))+(-((145/256)*x^2))+(-((439/512)*x))+(-(1121/512/((2*x)-1)))+(-(4039/2048/((2*x)-1)^2))+(-(2463/2048/((2*x)-1)^3))+(-(499/1024/((2*x)-1)^4))+(-(131/1024/((2*x)-1)^5))+(-(45/2048/((2*x)-1)^6))+(-(533/512)))
A227714 = ((756*integrate(A002409))+(-(1315/2/((4*x)-1)))+(-(-(-(-(3715/2/((2*x)-1))))))+(-(-(-(1093/(x-1)))))+(-(-(-(549/2/((4*x)-1)^2))))+(-(-(-(225/((2*x)-1)^2))))+(-(-(-(514/(x-1)^2))))+(-(-(-(651/2/((4*x)-1)^3))))+(-(-(80/((2*x)-1)^3)))+(-(-(241/(x-1)^3)))+(-(-(216/((4*x)-1)^4)))+(-(27/((2*x)-1)^4))+(-(95/(x-1)^4))+(-(54/((4*x)-1)^5))+(162/((2*x)-1)^5)+(83/(x-1)^5))
A209404 = (((1/28)*differential(A002409))+(-(1/2/((2*x)-1)^7)))
A257890 = (((1/2)*(A002411+(-((5/(x-1)^3)+(3/(x-1)^4)))))+(1/(x-1)^4)+(1/(x-1)^6))
A257464 = (((7/96)*differential((A002411+(-((5/(x-1)^3)+(3/(x-1)^4))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257464 = (((-(7/120))*(A002411+(-((2/(x-1)^2)+(3/(x-1)^4)))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257890 = (((-(2/5))*integrate((A002411+(-((2/(x-1)^2)+(3/(x-1)^4))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257890 = (((-(1/15))*differential((A002411+(-((2/(x-1)^2)+(3/(x-1)^4))))))+(1/(x-1)^2)+(1/(x-1)^6))
A257890 = (((1/3)*(A002411+(-((2/(x-1)^2)+(5/(x-1)^3)))))+(1/(x-1)^2)+(1/(x-1)^6))
A257464 = (((7/24)*integrate((A002411+(-((2/(x-1)^2)+(5/(x-1)^3))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257464 = (((1/24)*differential((A002411+(-((2/(x-1)^2)+(5/(x-1)^3))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(7/24/(x-1)^3))+(-(1/2/(x-1)^4)))
A257890 = (((1/3)*(A002412+(-((7/(x-1)^3)+(4/(x-1)^4)))))+(1/(x-1)^4)+(1/(x-1)^6))
A257464 = (((7/144)*differential((A002412+(-((7/(x-1)^3)+(4/(x-1)^4))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257464 = (((-(1/24))*(A002412+(-((3/(x-1)^2)+(4/(x-1)^4)))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257890 = (((-(2/7))*integrate((A002412+(-((3/(x-1)^2)+(4/(x-1)^4))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257890 = (((-(1/21))*differential((A002412+(-((3/(x-1)^2)+(4/(x-1)^4))))))+(1/(x-1)^2)+(1/(x-1)^6))
A257890 = (((1/4)*(A002412+(-((3/(x-1)^2)+(7/(x-1)^3)))))+(1/(x-1)^2)+(1/(x-1)^6))
A257464 = (((7/32)*integrate((A002412+(-((3/(x-1)^2)+(7/(x-1)^3))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257464 = (((1/32)*differential((A002412+(-((3/(x-1)^2)+(7/(x-1)^3))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(7/24/(x-1)^3))+(-(1/2/(x-1)^4)))
A257890 = (((1/4)*(A002413+(-((9/(x-1)^3)+(5/(x-1)^4)))))+(1/(x-1)^4)+(1/(x-1)^6))
A257464 = (((7/192)*differential((A002413+(-((9/(x-1)^3)+(5/(x-1)^4))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257464 = (((-(7/216))*(A002413+(-((4/(x-1)^2)+(5/(x-1)^4)))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257890 = (((-(2/9))*integrate((A002413+(-((4/(x-1)^2)+(5/(x-1)^4))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257890 = (((-(1/27))*differential((A002413+(-((4/(x-1)^2)+(5/(x-1)^4))))))+(1/(x-1)^2)+(1/(x-1)^6))
A257890 = (((1/5)*(A002413+(-((4/(x-1)^2)+(9/(x-1)^3)))))+(1/(x-1)^2)+(1/(x-1)^6))
A257464 = (((7/40)*integrate((A002413+(-((4/(x-1)^2)+(9/(x-1)^3))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257464 = (((1/40)*differential((A002413+(-((4/(x-1)^2)+(9/(x-1)^3))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(7/24/(x-1)^3))+(-(1/2/(x-1)^4)))
A257890 = (((1/5)*(A002414+(-((11/(x-1)^3)+(6/(x-1)^4)))))+(1/(x-1)^4)+(1/(x-1)^6))
A257464 = (((7/240)*differential((A002414+(-((11/(x-1)^3)+(6/(x-1)^4))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257464 = (((-(7/264))*(A002414+(-((5/(x-1)^2)+(6/(x-1)^4)))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257890 = (((-(2/11))*integrate((A002414+(-((5/(x-1)^2)+(6/(x-1)^4))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257890 = (((-(1/33))*differential((A002414+(-((5/(x-1)^2)+(6/(x-1)^4))))))+(1/(x-1)^2)+(1/(x-1)^6))
A257890 = (((1/6)*(A002414+(-((5/(x-1)^2)+(11/(x-1)^3)))))+(1/(x-1)^2)+(1/(x-1)^6))
A257464 = (((7/48)*integrate((A002414+(-((5/(x-1)^2)+(11/(x-1)^3))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257464 = (((1/48)*differential((A002414+(-((5/(x-1)^2)+(11/(x-1)^3))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(7/24/(x-1)^3))+(-(1/2/(x-1)^4)))
A257890 = (((-1)*(A002415+(-((-(4/(x-1)^3))+(-(5/(x-1)^4))+(-(2/(x-1)^5))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257464 = (((-(7/48))*differential((A002415+(-((-(4/(x-1)^3))+(-(5/(x-1)^4))+(-(2/(x-1)^5)))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257464 = (((7/96)*(A002415+(-((-(1/(x-1)^2))+(-(5/(x-1)^4))+(-(2/(x-1)^5))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257890 = (((1/2)*integrate((A002415+(-((-(1/(x-1)^2))+(-(5/(x-1)^4))+(-(2/(x-1)^5)))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257890 = (((1/12)*differential((A002415+(-((-(1/(x-1)^2))+(-(5/(x-1)^4))+(-(2/(x-1)^5)))))))+(1/(x-1)^2)+(1/(x-1)^6))
A257890 = (((-(1/5))*(A002415+(-((-(1/(x-1)^2))+(-(4/(x-1)^3))+(-(2/(x-1)^5))))))+(1/(x-1)^2)+(1/(x-1)^6))
A257464 = (((-(7/40))*integrate((A002415+(-((-(1/(x-1)^2))+(-(4/(x-1)^3))+(-(2/(x-1)^5)))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257464 = (((-(1/40))*differential((A002415+(-((-(1/(x-1)^2))+(-(4/(x-1)^3))+(-(2/(x-1)^5)))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(7/24/(x-1)^3))+(-(1/2/(x-1)^4)))
A257464 = (((1/4)*(A002415+(-((-(1/(x-1)^2))+(-(4/(x-1)^3))+(-(5/(x-1)^4))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(7/24/(x-1)^3))+(-(1/2/(x-1)^4)))
A257890 = ((2*integrate((A002415+(-((-(1/(x-1)^2))+(-(4/(x-1)^3))+(-(5/(x-1)^4)))))))+(1/(x-1)^2)+(1/(x-1)^6))
A257890 = (((1/10)*differential((A002415+(-((-(1/(x-1)^2))+(-(4/(x-1)^3))+(-(5/(x-1)^4)))))))+(1/(x-1)^2)+(1/(x-1)^4))
A257464 = (((7/72)*(A002417+(-((-(7/(x-1)^4))+(-(4/(x-1)^5))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257890 = (((2/3)*integrate((A002417+(-((-(7/(x-1)^4))+(-(4/(x-1)^5)))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257890 = (((1/9)*differential((A002417+(-((-(7/(x-1)^4))+(-(4/(x-1)^5)))))))+(1/(x-1)^2)+(1/(x-1)^6))
A257890 = (((-(1/7))*(A002417+(-((-(3/(x-1)^3))+(-(4/(x-1)^5))))))+(1/(x-1)^2)+(1/(x-1)^6))
A257464 = (((-(1/8))*integrate((A002417+(-((-(3/(x-1)^3))+(-(4/(x-1)^5)))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257464 = (((-(1/56))*differential((A002417+(-((-(3/(x-1)^3))+(-(4/(x-1)^5)))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(7/24/(x-1)^3))+(-(1/2/(x-1)^4)))
A257464 = (((1/8)*(A002417+(-((-(3/(x-1)^3))+(-(7/(x-1)^4))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(7/24/(x-1)^3))+(-(1/2/(x-1)^4)))
A257890 = ((1*integrate((A002417+(-((-(3/(x-1)^3))+(-(7/(x-1)^4)))))))+(1/(x-1)^2)+(1/(x-1)^6))
A257890 = (((1/20)*differential((A002417+(-((-(3/(x-1)^3))+(-(7/(x-1)^4)))))))+(1/(x-1)^2)+(1/(x-1)^4))
A257464 = (((7/96)*(A002418+(-((-(9/(x-1)^4))+(-(5/(x-1)^5))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257890 = (((1/2)*integrate((A002418+(-((-(9/(x-1)^4))+(-(5/(x-1)^5)))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257890 = (((1/12)*differential((A002418+(-((-(9/(x-1)^4))+(-(5/(x-1)^5)))))))+(1/(x-1)^2)+(1/(x-1)^6))
A257890 = (((-(1/9))*(A002418+(-((-(4/(x-1)^3))+(-(5/(x-1)^5))))))+(1/(x-1)^2)+(1/(x-1)^6))
A257464 = (((-(7/72))*integrate((A002418+(-((-(4/(x-1)^3))+(-(5/(x-1)^5)))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257464 = (((-(1/72))*differential((A002418+(-((-(4/(x-1)^3))+(-(5/(x-1)^5)))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(7/24/(x-1)^3))+(-(1/2/(x-1)^4)))
A257464 = (((1/10)*(A002418+(-((-(4/(x-1)^3))+(-(9/(x-1)^4))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(7/24/(x-1)^3))+(-(1/2/(x-1)^4)))
A257890 = (((4/5)*integrate((A002418+(-((-(4/(x-1)^3))+(-(9/(x-1)^4)))))))+(1/(x-1)^2)+(1/(x-1)^6))
A257890 = (((1/25)*differential((A002418+(-((-(4/(x-1)^3))+(-(9/(x-1)^4)))))))+(1/(x-1)^2)+(1/(x-1)^4))
A257464 = (((7/120)*(A002419+(-((-(11/(x-1)^4))+(-(6/(x-1)^5))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257890 = (((2/5)*integrate((A002419+(-((-(11/(x-1)^4))+(-(6/(x-1)^5)))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257890 = (((1/15)*differential((A002419+(-((-(11/(x-1)^4))+(-(6/(x-1)^5)))))))+(1/(x-1)^2)+(1/(x-1)^6))
A257890 = (((-(1/11))*(A002419+(-((-(5/(x-1)^3))+(-(6/(x-1)^5))))))+(1/(x-1)^2)+(1/(x-1)^6))
A257464 = (((-(7/88))*integrate((A002419+(-((-(5/(x-1)^3))+(-(6/(x-1)^5)))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257464 = (((-(1/88))*differential((A002419+(-((-(5/(x-1)^3))+(-(6/(x-1)^5)))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(7/24/(x-1)^3))+(-(1/2/(x-1)^4)))
A257464 = (((1/12)*(A002419+(-((-(5/(x-1)^3))+(-(11/(x-1)^4))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(7/24/(x-1)^3))+(-(1/2/(x-1)^4)))
A257890 = (((2/3)*integrate((A002419+(-((-(5/(x-1)^3))+(-(11/(x-1)^4)))))))+(1/(x-1)^2)+(1/(x-1)^6))
A257890 = (((1/30)*differential((A002419+(-((-(5/(x-1)^3))+(-(11/(x-1)^4)))))))+(1/(x-1)^2)+(1/(x-1)^4))
A091712 = (((-3)*integrate(A002420))+(-x^2)+(5*x)+(1/2))
A257520 = (((1/2)*A002426)+(-(1/2/(x-1))))
A257520 = (((1/2)*A002426)+(-(1/2/(x-1))))
A241874 = (((5/432)*differential((A002446+(-(2/(x-1))))))+(-(4/125/((6*x)-1)))+(-(-(-(9/160/((5*x)-1)))))+(-(-(-(1/24/((4*x)-1)))))+(-(-(5/288/((3*x)-1))))+(-(-(3/32/((2*x)-1))))+(-(-(593/6000/(x-1))))+(-(-(3/80/((5*x)-1)^2)))+(-(-(13/144/((3*x)-1)^2)))+(-(1/16/((2*x)-1)^2))+(-(923/10800/(x-1)^2))+(-(1/24/((4*x)-1)^3))+(-(17/144/((3*x)-1)^3))+(-(1/16/((2*x)-1)^3))+(-(19/720/(x-1)^3))+(-(1/24/((3*x)-1)^4))+(-(3/32/((2*x)-1)^4))+(-(1/32/((2*x)-1)^5))+(-(3/160)))
A257890 = (((-(1/2))*differential((A002446+(-(-(2/((4*x)-1)))))))+(1/(x-1)^4)+(1/(x-1)^6))
A241874 = (((5/72)*differential((A002450+(-(1/3/(x-1))))))+(-(4/125/((6*x)-1)))+(-(-(-(9/160/((5*x)-1)))))+(-(-(-(1/24/((4*x)-1)))))+(-(-(5/288/((3*x)-1))))+(-(-(3/32/((2*x)-1))))+(-(-(593/6000/(x-1))))+(-(-(3/80/((5*x)-1)^2)))+(-(-(13/144/((3*x)-1)^2)))+(-(1/16/((2*x)-1)^2))+(-(923/10800/(x-1)^2))+(-(1/24/((4*x)-1)^3))+(-(17/144/((3*x)-1)^3))+(-(1/16/((2*x)-1)^3))+(-(19/720/(x-1)^3))+(-(1/24/((3*x)-1)^4))+(-(3/32/((2*x)-1)^4))+(-(1/32/((2*x)-1)^5))+(-(3/160)))
A257890 = (((-3)*differential((A002450+(-(-(1/3/((4*x)-1)))))))+(1/(x-1)^4)+(1/(x-1)^6))
A230540 = (((16/27)*differential((A002452+(-(1/8/(x-1))))))+(2/3/((9*x)-1)))
A257890 = (((-8)*differential((A002452+(-(-(1/8/((9*x)-1)))))))+(1/(x-1)^4)+(1/(x-1)^6))
A166725 = (((768/15625)*differential((A002453+(-((-(81/128/((9*x)-1)))+(-(1/192/(x-1))))))))+(1/((25*x)-1)))
A230540 = (((256/2187)*differential((A002453+(-((-(625/384/((25*x)-1)))+(-(1/192/(x-1))))))))+(2/3/((9*x)-1)))
A257890 = ((192*differential((A002453+(-((-(625/384/((25*x)-1)))+(-(81/128/((9*x)-1))))))))+(1/(x-1)^4)+(1/(x-1)^6))
A253487 = (((-4)*A002457)+((((-(4*x))+1)^(3/2)-1)/(x^2*((-(4*x))+1)^(3/2)))+(6/(x*((-(4*x))+1)^(3/2))))
A051133 = ((1/2)*x*differential(A002457))
A255381 = (((6561/2000)*differential((A002477+(-((-(1/81/((100*x)-1)))+(-(1/81/(x-1))))))))+(-(9/50/((10*x)-1)))+(1/100))
A257890 = ((81*differential((A002477+(-((-(1/81/((100*x)-1)))+(-(2/81/((10*x)-1))))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257890 = (((1/4)*(A002492+(-((12/(x-1)^3)+(8/(x-1)^4)))))+(1/(x-1)^4)+(1/(x-1)^6))
A257464 = (((7/192)*differential((A002492+(-((12/(x-1)^3)+(8/(x-1)^4))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257464 = (((-(7/288))*(A002492+(-((4/(x-1)^2)+(8/(x-1)^4)))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257890 = (((-(1/6))*integrate((A002492+(-((4/(x-1)^2)+(8/(x-1)^4))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257890 = (((-(1/36))*differential((A002492+(-((4/(x-1)^2)+(8/(x-1)^4))))))+(1/(x-1)^2)+(1/(x-1)^6))
A257890 = (((1/8)*(A002492+(-((4/(x-1)^2)+(12/(x-1)^3)))))+(1/(x-1)^2)+(1/(x-1)^6))
A257464 = (((7/64)*integrate((A002492+(-((4/(x-1)^2)+(12/(x-1)^3))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257464 = (((1/64)*differential((A002492+(-((4/(x-1)^2)+(12/(x-1)^3))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(7/24/(x-1)^3))+(-(1/2/(x-1)^4)))
A229281 = (((-(4/49))*differential((A002501+(-((-(3/((4*x)-1)))+(-(2/((3*x)-1))))))))+(1/7/((7*x)-1))+(-(3/7)))
A241874 = (((5/648)*differential((A002501+(-((-(1/((7*x)-1)))+(-(2/((3*x)-1))))))))+(-(4/125/((6*x)-1)))+(-(-(-(9/160/((5*x)-1)))))+(-(-(-(1/24/((4*x)-1)))))+(-(-(5/288/((3*x)-1))))+(-(-(3/32/((2*x)-1))))+(-(-(593/6000/(x-1))))+(-(-(3/80/((5*x)-1)^2)))+(-(-(13/144/((3*x)-1)^2)))+(-(1/16/((2*x)-1)^2))+(-(923/10800/(x-1)^2))+(-(1/24/((4*x)-1)^3))+(-(17/144/((3*x)-1)^3))+(-(1/16/((2*x)-1)^3))+(-(19/720/(x-1)^3))+(-(1/24/((3*x)-1)^4))+(-(3/32/((2*x)-1)^4))+(-(1/32/((2*x)-1)^5))+(-(3/160)))
A248088 = (((1/12)*differential((A002501+(-((-(1/((7*x)-1)))+(-(3/((4*x)-1))))))))+(((1/6)*((2*x)+1))/((3*x^2)+(2*x)+1))+(-(1/3/((3*x)-1))))
A230539 = (((3/64)*differential((A002502+(-((-(1/((15*x)-1)))+(-(3/((6*x)-1)))+(-(12/((5*x)-1)))+(6/((4*x)-1)))))))+(3/2/((8*x)-1)))
A229689 = (((-(1/27))*differential((A002502+(-((-(1/((15*x)-1)))+(-(4/((8*x)-1)))+(-(12/((5*x)-1)))+(6/((4*x)-1)))))))+((1/2)*x)+(-(13/36/((6*x)-1)))+(-(16/27/((6*x)-1)^3))+(47/108))
A241874 = (((1/1600)*differential((A002502+(-((-(1/((15*x)-1)))+(-(4/((8*x)-1)))+(-(3/((6*x)-1)))+(6/((4*x)-1)))))))+(-(4/125/((6*x)-1)))+(-(-(-(9/160/((5*x)-1)))))+(-(-(-(1/24/((4*x)-1)))))+(-(-(5/288/((3*x)-1))))+(-(-(3/32/((2*x)-1))))+(-(-(593/6000/(x-1))))+(-(-(5/54/((4*x)-1)^2)))+(-(-(13/144/((3*x)-1)^2)))+(-(1/16/((2*x)-1)^2))+(-(923/10800/(x-1)^2))+(-(1/24/((4*x)-1)^3))+(-(17/144/((3*x)-1)^3))+(-(1/16/((2*x)-1)^3))+(-(19/720/(x-1)^3))+(-(1/24/((3*x)-1)^4))+(-(3/32/((2*x)-1)^4))+(-(1/32/((2*x)-1)^5))+(-(3/160)))
A241874 = (((-(5/1296))*differential((A002502+(-((-(1/((15*x)-1)))+(-(4/((8*x)-1)))+(-(3/((6*x)-1)))+(-(12/((5*x)-1))))))))+(-(4/125/((6*x)-1)))+(-(-(-(9/160/((5*x)-1)))))+(-(-(-(1/24/((4*x)-1)))))+(-(-(5/288/((3*x)-1))))+(-(-(3/32/((2*x)-1))))+(-(-(593/6000/(x-1))))+(-(-(3/80/((5*x)-1)^2)))+(-(-(13/144/((3*x)-1)^2)))+(-(1/16/((2*x)-1)^2))+(-(923/10800/(x-1)^2))+(-(1/24/((4*x)-1)^3))+(-(17/144/((3*x)-1)^3))+(-(1/16/((2*x)-1)^3))+(-(19/720/(x-1)^3))+(-(1/24/((3*x)-1)^4))+(-(3/32/((2*x)-1)^4))+(-(1/32/((2*x)-1)^5))+(-(3/160)))
A257890 = ((17*differential((A002526+(-(((1/17)*(((x^12+(4*x^11)+(7*x^10)+(12*x^9)+(21*x^8)+(11*x^7))-(9*x^6)-(28*x^5)-(49*x^4)-(28*x^3)-(31*x^2))+16))/(((x^13+(3*x^12)+(3*x^11)+(5*x^10)+(9*x^9)+(7*x^8))-(3*x^7)-(19*x^6)-(21*x^5)-(13*x^4)-(3*x^3)-(3*x^2)-x)+1))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257890 = (((-17)*differential((A002527+(-(-(((1/17)*((x^12+(4*x^11)+(7*x^10)+(12*x^9)+(21*x^8)+(11*x^7))-(26*x^6)-(45*x^5)-(32*x^4)-(11*x^3)-(14*x^2)-(17*x)-1))/(((x^13+(3*x^12)+(3*x^11)+(5*x^10)+(9*x^9)+(7*x^8))-(3*x^7)-(19*x^6)-(21*x^5)-(13*x^4)-(3*x^3)-(3*x^2)-x)+1)))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257890 = (((-17)*differential((A002528+(-(-(((1/17)*((x^12+(4*x^11)+(7*x^10)+(12*x^9)+(21*x^8)+(28*x^7)+(25*x^6)+(6*x^5))-(15*x^4)-(28*x^3)-(31*x^2)-1))/(((x^13+(3*x^12)+(3*x^11)+(5*x^10)+(9*x^9)+(7*x^8))-(3*x^7)-(19*x^6)-(21*x^5)-(13*x^4)-(3*x^3)-(3*x^2)-x)+1)))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257890 = (((-17)*differential((A002529+(-(-(((1/17)*((x^12+(4*x^11)+(7*x^10)+(12*x^9)+(21*x^8)+(28*x^7)+(25*x^6))-(28*x^5)-(83*x^4)-(62*x^3)-(31*x^2)-1))/(((x^13+(3*x^12)+(3*x^11)+(5*x^10)+(9*x^9)+(7*x^8))-(3*x^7)-(19*x^6)-(21*x^5)-(13*x^4)-(3*x^3)-(3*x^2)-x)+1)))))))+(1/(x-1)^4)+(1/(x-1)^6))
A083695 = (3*A002532)
A245927 = (((10*sqrt(6)*sqrt((-(((x+sqrt(((x^2-(14*x))+1)))-1)/((x^3-(14*x^2))+x)))))/((sqrt(6)*log(((((5*x)-sqrt(6))+1)/((5*x)+sqrt(6)+1))))-(6*log((((5*x^2)+(2*x))-1)))))*integrate(A002532))
A253487 = (((-(4/x))*integrate(A002544))+((((-(4*x))+1)^(3/2)-1)/(x^2*((-(4*x))+1)^(3/2)))+(6/(x*((-(4*x))+1)^(3/2))))
A257890 = (((1/31)*(A002561+(-((180/(x-1)^3)+(390/(x-1)^4)+(360/(x-1)^5)+(120/(x-1)^6)))))+(1/(x-1)^4)+(1/(x-1)^6))
A257464 = (((7/1488)*differential((A002561+(-((180/(x-1)^3)+(390/(x-1)^4)+(360/(x-1)^5)+(120/(x-1)^6))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257464 = (((-(7/4320))*(A002561+(-((31/(x-1)^2)+(390/(x-1)^4)+(360/(x-1)^5)+(120/(x-1)^6)))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257890 = (((-(1/90))*integrate((A002561+(-((31/(x-1)^2)+(390/(x-1)^4)+(360/(x-1)^5)+(120/(x-1)^6))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257890 = (((-(1/540))*differential((A002561+(-((31/(x-1)^2)+(390/(x-1)^4)+(360/(x-1)^5)+(120/(x-1)^6))))))+(1/(x-1)^2)+(1/(x-1)^6))
A257890 = (((1/390)*(A002561+(-((31/(x-1)^2)+(180/(x-1)^3)+(360/(x-1)^5)+(120/(x-1)^6)))))+(1/(x-1)^2)+(1/(x-1)^6))
A257464 = (((7/3120)*integrate((A002561+(-((31/(x-1)^2)+(180/(x-1)^3)+(360/(x-1)^5)+(120/(x-1)^6))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257464 = (((1/3120)*differential((A002561+(-((31/(x-1)^2)+(180/(x-1)^3)+(360/(x-1)^5)+(120/(x-1)^6))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(7/24/(x-1)^3))+(-(1/2/(x-1)^4)))
A257464 = (((-(1/720))*(A002561+(-((31/(x-1)^2)+(180/(x-1)^3)+(390/(x-1)^4)+(120/(x-1)^6)))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(7/24/(x-1)^3))+(-(1/2/(x-1)^4)))
A257890 = (((-(1/90))*integrate((A002561+(-((31/(x-1)^2)+(180/(x-1)^3)+(390/(x-1)^4)+(120/(x-1)^6))))))+(1/(x-1)^2)+(1/(x-1)^6))
A257890 = (((-(1/1800))*differential((A002561+(-((31/(x-1)^2)+(180/(x-1)^3)+(390/(x-1)^4)+(120/(x-1)^6))))))+(1/(x-1)^2)+(1/(x-1)^4))
A257890 = (((1/120)*(A002561+(-((31/(x-1)^2)+(180/(x-1)^3)+(390/(x-1)^4)+(360/(x-1)^5)))))+(1/(x-1)^2)+(1/(x-1)^4))
A257464 = (((1/48)*integrate((A002561+(-((31/(x-1)^2)+(180/(x-1)^3)+(390/(x-1)^4)+(360/(x-1)^5))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(7/24/(x-1)^3))+(-(1/2/(x-1)^4)))
A257201 = (((-(1/360))*differential((A002561+(-((31/(x-1)^2)+(180/(x-1)^3)+(390/(x-1)^4)+(360/(x-1)^5))))))+(1/(x-1)^5)+(2/(x-1)^6)+(1/(x-1)^8))
A257890 = ((1*differential((A002593+(-((-(27/(x-1)^2))+(-(98/(x-1)^3))+(-(120/(x-1)^4))+(-(48/(x-1)^5)))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257890 = (((-(1/27))*(A002593+(-((-(1/(x-1)))+(-(98/(x-1)^3))+(-(120/(x-1)^4))+(-(48/(x-1)^5))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257464 = (((-(7/1296))*differential((A002593+(-((-(1/(x-1)))+(-(98/(x-1)^3))+(-(120/(x-1)^4))+(-(48/(x-1)^5)))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257464 = (((1/336)*(A002593+(-((-(1/(x-1)))+(-(27/(x-1)^2))+(-(120/(x-1)^4))+(-(48/(x-1)^5))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257890 = (((1/49)*integrate((A002593+(-((-(1/(x-1)))+(-(27/(x-1)^2))+(-(120/(x-1)^4))+(-(48/(x-1)^5)))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257890 = (((1/294)*differential((A002593+(-((-(1/(x-1)))+(-(27/(x-1)^2))+(-(120/(x-1)^4))+(-(48/(x-1)^5)))))))+(1/(x-1)^2)+(1/(x-1)^6))
A257890 = (((-(1/120))*(A002593+(-((-(1/(x-1)))+(-(27/(x-1)^2))+(-(98/(x-1)^3))+(-(48/(x-1)^5))))))+(1/(x-1)^2)+(1/(x-1)^6))
A257464 = (((-(7/960))*integrate((A002593+(-((-(1/(x-1)))+(-(27/(x-1)^2))+(-(98/(x-1)^3))+(-(48/(x-1)^5)))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257464 = (((-(1/960))*differential((A002593+(-((-(1/(x-1)))+(-(27/(x-1)^2))+(-(98/(x-1)^3))+(-(48/(x-1)^5)))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(7/24/(x-1)^3))+(-(1/2/(x-1)^4)))
A257464 = (((1/96)*(A002593+(-((-(1/(x-1)))+(-(27/(x-1)^2))+(-(98/(x-1)^3))+(-(120/(x-1)^4))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(7/24/(x-1)^3))+(-(1/2/(x-1)^4)))
A257890 = (((1/12)*integrate((A002593+(-((-(1/(x-1)))+(-(27/(x-1)^2))+(-(98/(x-1)^3))+(-(120/(x-1)^4)))))))+(1/(x-1)^2)+(1/(x-1)^6))
A257890 = (((1/240)*differential((A002593+(-((-(1/(x-1)))+(-(27/(x-1)^2))+(-(98/(x-1)^3))+(-(120/(x-1)^4)))))))+(1/(x-1)^2)+(1/(x-1)^4))
A257890 = ((1*differential((A002594+(-((-(243/(x-1)^2))+(-(2882/(x-1)^3))+(-(10800/(x-1)^4))+(-(17760/(x-1)^5))+(-(13440/(x-1)^6))+(-(3840/(x-1)^7)))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257890 = (((-(1/243))*(A002594+(-((-(1/(x-1)))+(-(2882/(x-1)^3))+(-(10800/(x-1)^4))+(-(17760/(x-1)^5))+(-(13440/(x-1)^6))+(-(3840/(x-1)^7))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257464 = (((-(7/11664))*differential((A002594+(-((-(1/(x-1)))+(-(2882/(x-1)^3))+(-(10800/(x-1)^4))+(-(17760/(x-1)^5))+(-(13440/(x-1)^6))+(-(3840/(x-1)^7)))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257464 = (((7/69168)*(A002594+(-((-(1/(x-1)))+(-(243/(x-1)^2))+(-(10800/(x-1)^4))+(-(17760/(x-1)^5))+(-(13440/(x-1)^6))+(-(3840/(x-1)^7))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257890 = (((1/1441)*integrate((A002594+(-((-(1/(x-1)))+(-(243/(x-1)^2))+(-(10800/(x-1)^4))+(-(17760/(x-1)^5))+(-(13440/(x-1)^6))+(-(3840/(x-1)^7)))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257890 = (((1/8646)*differential((A002594+(-((-(1/(x-1)))+(-(243/(x-1)^2))+(-(10800/(x-1)^4))+(-(17760/(x-1)^5))+(-(13440/(x-1)^6))+(-(3840/(x-1)^7)))))))+(1/(x-1)^2)+(1/(x-1)^6))
A257890 = (((-(1/10800))*(A002594+(-((-(1/(x-1)))+(-(243/(x-1)^2))+(-(2882/(x-1)^3))+(-(17760/(x-1)^5))+(-(13440/(x-1)^6))+(-(3840/(x-1)^7))))))+(1/(x-1)^2)+(1/(x-1)^6))
A257464 = (((-(7/86400))*integrate((A002594+(-((-(1/(x-1)))+(-(243/(x-1)^2))+(-(2882/(x-1)^3))+(-(17760/(x-1)^5))+(-(13440/(x-1)^6))+(-(3840/(x-1)^7)))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257464 = (((-(1/86400))*differential((A002594+(-((-(1/(x-1)))+(-(243/(x-1)^2))+(-(2882/(x-1)^3))+(-(17760/(x-1)^5))+(-(13440/(x-1)^6))+(-(3840/(x-1)^7)))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(7/24/(x-1)^3))+(-(1/2/(x-1)^4)))
A257464 = (((1/35520)*(A002594+(-((-(1/(x-1)))+(-(243/(x-1)^2))+(-(2882/(x-1)^3))+(-(10800/(x-1)^4))+(-(13440/(x-1)^6))+(-(3840/(x-1)^7))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(7/24/(x-1)^3))+(-(1/2/(x-1)^4)))
A257890 = (((1/4440)*integrate((A002594+(-((-(1/(x-1)))+(-(243/(x-1)^2))+(-(2882/(x-1)^3))+(-(10800/(x-1)^4))+(-(13440/(x-1)^6))+(-(3840/(x-1)^7)))))))+(1/(x-1)^2)+(1/(x-1)^6))
A257890 = (((1/88800)*differential((A002594+(-((-(1/(x-1)))+(-(243/(x-1)^2))+(-(2882/(x-1)^3))+(-(10800/(x-1)^4))+(-(13440/(x-1)^6))+(-(3840/(x-1)^7)))))))+(1/(x-1)^2)+(1/(x-1)^4))
A257890 = (((-(1/13440))*(A002594+(-((-(1/(x-1)))+(-(243/(x-1)^2))+(-(2882/(x-1)^3))+(-(10800/(x-1)^4))+(-(17760/(x-1)^5))+(-(3840/(x-1)^7))))))+(1/(x-1)^2)+(1/(x-1)^4))
A257464 = (((-(1/5376))*integrate((A002594+(-((-(1/(x-1)))+(-(243/(x-1)^2))+(-(2882/(x-1)^3))+(-(10800/(x-1)^4))+(-(17760/(x-1)^5))+(-(3840/(x-1)^7)))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(7/24/(x-1)^3))+(-(1/2/(x-1)^4)))
A257201 = (((1/40320)*differential((A002594+(-((-(1/(x-1)))+(-(243/(x-1)^2))+(-(2882/(x-1)^3))+(-(10800/(x-1)^4))+(-(17760/(x-1)^5))+(-(3840/(x-1)^7)))))))+(1/(x-1)^5)+(2/(x-1)^6)+(1/(x-1)^8))
A257201 = (((-(1/1920))*(A002594+(-((-(1/(x-1)))+(-(243/(x-1)^2))+(-(2882/(x-1)^3))+(-(10800/(x-1)^4))+(-(17760/(x-1)^5))+(-(13440/(x-1)^6))))))+(1/(x-1)^5)+(2/(x-1)^6)+(1/(x-1)^8))
A257890 = (((1/640)*integrate((A002594+(-((-(1/(x-1)))+(-(243/(x-1)^2))+(-(2882/(x-1)^3))+(-(10800/(x-1)^4))+(-(17760/(x-1)^5))+(-(13440/(x-1)^6)))))))+(1/(x-1)^2)+(1/(x-1)^4))
A257201 = (((1/26880)*differential((A002594+(-((-(1/(x-1)))+(-(243/(x-1)^2))+(-(2882/(x-1)^3))+(-(10800/(x-1)^4))+(-(17760/(x-1)^5))+(-(13440/(x-1)^6)))))))+(1/(x-1)^5)+(2/(x-1)^6)+(2/(x-1)^7))
A124630 = (((-1)*(A002597+(-((((1/81)*((6*x)+13))/(x^2+x+1))+(-(-(-(3/32/(x+1)))))+(-(-(-(145/864/(x-1)))))+(-(-(1/64/(x+1)^2)))+(-(-(((1/27)*(x+1))/(x^2+x+1)^3)))+(-(-(827/5184/(x-1)^2)))+(-(-(55/432/(x-1)^3)))+(-(35/432/(x-1)^4))+(-(1/27/(x-1)^5))+(1/108/(x-1)^6)))))+(((1/81)*((2*x)+7))/(x^2+x+1))+(-(-(-(-(-(((1/64)*(x-1))/(x^2+1)))))))+(-(-(-(-(147/1024/(x+1))))))+(-(-(-(-(12659/82944/(x-1))))))+(-(-(-(((1/27)*((2*x)+1))/(x^2+x+1)^3))))+(-(-(-(7/64/(x+1)^2))))+(-(-(-(1513/13824/(x-1)^2))))+(-(-(-(35/512/(x+1)^3))))+(-(-(-(289/4608/(x-1)^3))))+(-(-(7/256/(x+1)^4)))+(-(-(29/864/(x-1)^4)))+(-(-(19/864/(x-1)^5)))+(-(1/96/(x-1)^6))+(-(1/96/(x-1)^7)))
A257850 = (((-(8/15))*differential((A002597+(-((((1/81)*((6*x)+13))/(x^2+x+1))+(-(-(-(((1/27)*((2*x)+3))/(x^2+x+1)^2))))+(-(-(-(145/864/(x-1)))))+(-(-(1/64/(x+1)^2)))+(-(-(((1/27)*(x+1))/(x^2+x+1)^3)))+(-(-(827/5184/(x-1)^2)))+(-(-(55/432/(x-1)^3)))+(-(35/432/(x-1)^4))+(-(1/27/(x-1)^5))+(1/108/(x-1)^6))))))+(((1/5)*((15*x^3)+(4*x^2)+(8*x)+9))/((((x^4-x^3)+x^2)-x)+1))+(-(-(((1/5)*((11*x^3)+(16*x^2)+(15*x)+8))/(x^4+x^3+x^2+x+1))))+(-(-(((1/2)*((2*x^3)+(2*x^2)+x))/(x^4+x^3+x^2+x+1)^2)))+(-(-(((1/2)*(((2*x^2)-x)+2))/((((x^4-x^3)+x^2)-x)+1)^2)))+(-(1/2/(x+1)))+(-(33/10/(x-1)))+(9/20/(x-1)^2))
A257890 = (((864/145)*differential((A002597+(-((((1/81)*((6*x)+13))/(x^2+x+1))+(-(-(-(((1/27)*((2*x)+3))/(x^2+x+1)^2))))+(-(-(-(3/32/(x+1)))))+(-(-(1/64/(x+1)^2)))+(-(-(((1/27)*(x+1))/(x^2+x+1)^3)))+(-(-(827/5184/(x-1)^2)))+(-(-(55/432/(x-1)^3)))+(-(35/432/(x-1)^4))+(-(1/27/(x-1)^5))+(1/108/(x-1)^6))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257850 = (((-(16/5))*(A002597+(-((((1/81)*((6*x)+13))/(x^2+x+1))+(-(-(-(((1/27)*((2*x)+3))/(x^2+x+1)^2))))+(-(-(-(3/32/(x+1)))))+(-(-(-(145/864/(x-1)))))+(-(-(((1/27)*(x+1))/(x^2+x+1)^3)))+(-(-(827/5184/(x-1)^2)))+(-(-(55/432/(x-1)^3)))+(-(35/432/(x-1)^4))+(-(1/27/(x-1)^5))+(1/108/(x-1)^6)))))+(((1/5)*((15*x^3)+(4*x^2)+(8*x)+9))/((((x^4-x^3)+x^2)-x)+1))+(-(-(((1/5)*((11*x^3)+(16*x^2)+(15*x)+8))/(x^4+x^3+x^2+x+1))))+(-(-(((1/2)*((2*x^3)+(2*x^2)+x))/(x^4+x^3+x^2+x+1)^2)))+(-(-(((1/2)*(((2*x^2)-x)+2))/((((x^4-x^3)+x^2)-x)+1)^2)))+(-(1/2/(x+1)))+(-(33/10/(x-1)))+(9/20/(x-1)^2))
A257171 = ((4*differential((A002597+(-((((1/81)*((6*x)+13))/(x^2+x+1))+(-(-(-(((1/27)*((2*x)+3))/(x^2+x+1)^2))))+(-(-(-(3/32/(x+1)))))+(-(-(-(145/864/(x-1)))))+(-(-(((1/27)*(x+1))/(x^2+x+1)^3)))+(-(-(827/5184/(x-1)^2)))+(-(-(55/432/(x-1)^3)))+(-(35/432/(x-1)^4))+(-(1/27/(x-1)^5))+(1/108/(x-1)^6))))))+(2*x)+(-(-(3/8/(x+1))))+(-(-(3/8/(x-1))))+(-(3/4/(x-1)^2))+(-(3/8/(x-1)^3))+(-(3/4/(x-1)^4))+(-1))
A257890 = (((5184/827)*(A002597+(-((((1/81)*((6*x)+13))/(x^2+x+1))+(-(-(-(((1/27)*((2*x)+3))/(x^2+x+1)^2))))+(-(-(-(3/32/(x+1)))))+(-(-(-(145/864/(x-1)))))+(-(-(1/64/(x+1)^2)))+(-(-(((1/27)*(x+1))/(x^2+x+1)^3)))+(-(-(55/432/(x-1)^3)))+(-(35/432/(x-1)^4))+(-(1/27/(x-1)^5))+(1/108/(x-1)^6)))))+(1/(x-1)^4)+(1/(x-1)^6))
A257464 = (((756/827)*differential((A002597+(-((((1/81)*((6*x)+13))/(x^2+x+1))+(-(-(-(((1/27)*((2*x)+3))/(x^2+x+1)^2))))+(-(-(-(3/32/(x+1)))))+(-(-(-(145/864/(x-1)))))+(-(-(1/64/(x+1)^2)))+(-(-(((1/27)*(x+1))/(x^2+x+1)^3)))+(-(-(55/432/(x-1)^3)))+(-(35/432/(x-1)^4))+(-(1/27/(x-1)^5))+(1/108/(x-1)^6))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257464 = (((-(126/55))*(A002597+(-((((1/81)*((6*x)+13))/(x^2+x+1))+(-(-(-(((1/27)*((2*x)+3))/(x^2+x+1)^2))))+(-(-(-(3/32/(x+1)))))+(-(-(-(145/864/(x-1)))))+(-(-(1/64/(x+1)^2)))+(-(-(((1/27)*(x+1))/(x^2+x+1)^3)))+(-(-(827/5184/(x-1)^2)))+(-(35/432/(x-1)^4))+(-(1/27/(x-1)^5))+(1/108/(x-1)^6)))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257890 = (((-(864/55))*integrate((A002597+(-((((1/81)*((6*x)+13))/(x^2+x+1))+(-(-(-(((1/27)*((2*x)+3))/(x^2+x+1)^2))))+(-(-(-(3/32/(x+1)))))+(-(-(-(145/864/(x-1)))))+(-(-(1/64/(x+1)^2)))+(-(-(((1/27)*(x+1))/(x^2+x+1)^3)))+(-(-(827/5184/(x-1)^2)))+(-(35/432/(x-1)^4))+(-(1/27/(x-1)^5))+(1/108/(x-1)^6))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257890 = (((-(144/55))*differential((A002597+(-((((1/81)*((6*x)+13))/(x^2+x+1))+(-(-(-(((1/27)*((2*x)+3))/(x^2+x+1)^2))))+(-(-(-(3/32/(x+1)))))+(-(-(-(145/864/(x-1)))))+(-(-(1/64/(x+1)^2)))+(-(-(((1/27)*(x+1))/(x^2+x+1)^3)))+(-(-(827/5184/(x-1)^2)))+(-(35/432/(x-1)^4))+(-(1/27/(x-1)^5))+(1/108/(x-1)^6))))))+(1/(x-1)^2)+(1/(x-1)^6))
A257890 = (((-(432/35))*(A002597+(-((((1/81)*((6*x)+13))/(x^2+x+1))+(-(-(-(((1/27)*((2*x)+3))/(x^2+x+1)^2))))+(-(-(-(3/32/(x+1)))))+(-(-(-(145/864/(x-1)))))+(-(-(1/64/(x+1)^2)))+(-(-(((1/27)*(x+1))/(x^2+x+1)^3)))+(-(-(827/5184/(x-1)^2)))+(-(-(55/432/(x-1)^3)))+(-(1/27/(x-1)^5))+(1/108/(x-1)^6)))))+(1/(x-1)^2)+(1/(x-1)^6))
A257464 = (((-(54/5))*integrate((A002597+(-((((1/81)*((6*x)+13))/(x^2+x+1))+(-(-(-(((1/27)*((2*x)+3))/(x^2+x+1)^2))))+(-(-(-(3/32/(x+1)))))+(-(-(-(145/864/(x-1)))))+(-(-(1/64/(x+1)^2)))+(-(-(((1/27)*(x+1))/(x^2+x+1)^3)))+(-(-(827/5184/(x-1)^2)))+(-(-(55/432/(x-1)^3)))+(-(1/27/(x-1)^5))+(1/108/(x-1)^6))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257464 = (((-(54/35))*differential((A002597+(-((((1/81)*((6*x)+13))/(x^2+x+1))+(-(-(-(((1/27)*((2*x)+3))/(x^2+x+1)^2))))+(-(-(-(3/32/(x+1)))))+(-(-(-(145/864/(x-1)))))+(-(-(1/64/(x+1)^2)))+(-(-(((1/27)*(x+1))/(x^2+x+1)^3)))+(-(-(827/5184/(x-1)^2)))+(-(-(55/432/(x-1)^3)))+(-(1/27/(x-1)^5))+(1/108/(x-1)^6))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(7/24/(x-1)^3))+(-(1/2/(x-1)^4)))
A257464 = (((27/2)*(A002597+(-((((1/81)*((6*x)+13))/(x^2+x+1))+(-(-(-(((1/27)*((2*x)+3))/(x^2+x+1)^2))))+(-(-(-(3/32/(x+1)))))+(-(-(-(145/864/(x-1)))))+(-(-(1/64/(x+1)^2)))+(-(-(((1/27)*(x+1))/(x^2+x+1)^3)))+(-(-(827/5184/(x-1)^2)))+(-(-(55/432/(x-1)^3)))+(-(35/432/(x-1)^4))+(1/108/(x-1)^6)))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(7/24/(x-1)^3))+(-(1/2/(x-1)^4)))
A257890 = ((108*integrate((A002597+(-((((1/81)*((6*x)+13))/(x^2+x+1))+(-(-(-(((1/27)*((2*x)+3))/(x^2+x+1)^2))))+(-(-(-(3/32/(x+1)))))+(-(-(-(145/864/(x-1)))))+(-(-(1/64/(x+1)^2)))+(-(-(((1/27)*(x+1))/(x^2+x+1)^3)))+(-(-(827/5184/(x-1)^2)))+(-(-(55/432/(x-1)^3)))+(-(35/432/(x-1)^4))+(1/108/(x-1)^6))))))+(1/(x-1)^2)+(1/(x-1)^6))
A257890 = (((27/5)*differential((A002597+(-((((1/81)*((6*x)+13))/(x^2+x+1))+(-(-(-(((1/27)*((2*x)+3))/(x^2+x+1)^2))))+(-(-(-(3/32/(x+1)))))+(-(-(-(145/864/(x-1)))))+(-(-(1/64/(x+1)^2)))+(-(-(((1/27)*(x+1))/(x^2+x+1)^3)))+(-(-(827/5184/(x-1)^2)))+(-(-(55/432/(x-1)^3)))+(-(35/432/(x-1)^4))+(1/108/(x-1)^6))))))+(1/(x-1)^2)+(1/(x-1)^4))
A257890 = ((108*(A002597+(-((((1/81)*((6*x)+13))/(x^2+x+1))+(-(-(-(((1/27)*((2*x)+3))/(x^2+x+1)^2))))+(-(-(-(3/32/(x+1)))))+(-(-(-(145/864/(x-1)))))+(-(-(1/64/(x+1)^2)))+(-(-(((1/27)*(x+1))/(x^2+x+1)^3)))+(-(-(827/5184/(x-1)^2)))+(-(-(55/432/(x-1)^3)))+(-(35/432/(x-1)^4))+(-(1/27/(x-1)^5))))))+(1/(x-1)^2)+(1/(x-1)^4))
A257464 = ((270*integrate((A002597+(-((((1/81)*((6*x)+13))/(x^2+x+1))+(-(-(-(((1/27)*((2*x)+3))/(x^2+x+1)^2))))+(-(-(-(3/32/(x+1)))))+(-(-(-(145/864/(x-1)))))+(-(-(1/64/(x+1)^2)))+(-(-(((1/27)*(x+1))/(x^2+x+1)^3)))+(-(-(827/5184/(x-1)^2)))+(-(-(55/432/(x-1)^3)))+(-(35/432/(x-1)^4))+(-(1/27/(x-1)^5)))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(7/24/(x-1)^3))+(-(1/2/(x-1)^4)))
A257201 = (((-36)*differential((A002597+(-((((1/81)*((6*x)+13))/(x^2+x+1))+(-(-(-(((1/27)*((2*x)+3))/(x^2+x+1)^2))))+(-(-(-(3/32/(x+1)))))+(-(-(-(145/864/(x-1)))))+(-(-(1/64/(x+1)^2)))+(-(-(((1/27)*(x+1))/(x^2+x+1)^3)))+(-(-(827/5184/(x-1)^2)))+(-(-(55/432/(x-1)^3)))+(-(35/432/(x-1)^4))+(-(1/27/(x-1)^5)))))))+(1/(x-1)^5)+(2/(x-1)^6)+(1/(x-1)^8))
A257890 = (((1/2)*differential((A002604+(-((-(63/(x-1)^2))+(-(602/(x-1)^3))+(-(2100/(x-1)^4))+(-(3360/(x-1)^5))+(-(2520/(x-1)^6))+(-(720/(x-1)^7)))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257890 = (((-(1/63))*(A002604+(-((-(2/(x-1)))+(-(602/(x-1)^3))+(-(2100/(x-1)^4))+(-(3360/(x-1)^5))+(-(2520/(x-1)^6))+(-(720/(x-1)^7))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257464 = (((-(1/432))*differential((A002604+(-((-(2/(x-1)))+(-(602/(x-1)^3))+(-(2100/(x-1)^4))+(-(3360/(x-1)^5))+(-(2520/(x-1)^6))+(-(720/(x-1)^7)))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257464 = (((1/2064)*(A002604+(-((-(2/(x-1)))+(-(63/(x-1)^2))+(-(2100/(x-1)^4))+(-(3360/(x-1)^5))+(-(2520/(x-1)^6))+(-(720/(x-1)^7))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257890 = (((1/301)*integrate((A002604+(-((-(2/(x-1)))+(-(63/(x-1)^2))+(-(2100/(x-1)^4))+(-(3360/(x-1)^5))+(-(2520/(x-1)^6))+(-(720/(x-1)^7)))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257890 = (((1/1806)*differential((A002604+(-((-(2/(x-1)))+(-(63/(x-1)^2))+(-(2100/(x-1)^4))+(-(3360/(x-1)^5))+(-(2520/(x-1)^6))+(-(720/(x-1)^7)))))))+(1/(x-1)^2)+(1/(x-1)^6))
A257890 = (((-(1/2100))*(A002604+(-((-(2/(x-1)))+(-(63/(x-1)^2))+(-(602/(x-1)^3))+(-(3360/(x-1)^5))+(-(2520/(x-1)^6))+(-(720/(x-1)^7))))))+(1/(x-1)^2)+(1/(x-1)^6))
A257464 = (((-(1/2400))*integrate((A002604+(-((-(2/(x-1)))+(-(63/(x-1)^2))+(-(602/(x-1)^3))+(-(3360/(x-1)^5))+(-(2520/(x-1)^6))+(-(720/(x-1)^7)))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257464 = (((-(1/16800))*differential((A002604+(-((-(2/(x-1)))+(-(63/(x-1)^2))+(-(602/(x-1)^3))+(-(3360/(x-1)^5))+(-(2520/(x-1)^6))+(-(720/(x-1)^7)))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(7/24/(x-1)^3))+(-(1/2/(x-1)^4)))
A257464 = (((1/6720)*(A002604+(-((-(2/(x-1)))+(-(63/(x-1)^2))+(-(602/(x-1)^3))+(-(2100/(x-1)^4))+(-(2520/(x-1)^6))+(-(720/(x-1)^7))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(7/24/(x-1)^3))+(-(1/2/(x-1)^4)))
A257890 = (((1/840)*integrate((A002604+(-((-(2/(x-1)))+(-(63/(x-1)^2))+(-(602/(x-1)^3))+(-(2100/(x-1)^4))+(-(2520/(x-1)^6))+(-(720/(x-1)^7)))))))+(1/(x-1)^2)+(1/(x-1)^6))
A257890 = (((1/16800)*differential((A002604+(-((-(2/(x-1)))+(-(63/(x-1)^2))+(-(602/(x-1)^3))+(-(2100/(x-1)^4))+(-(2520/(x-1)^6))+(-(720/(x-1)^7)))))))+(1/(x-1)^2)+(1/(x-1)^4))
A257890 = (((-(1/2520))*(A002604+(-((-(2/(x-1)))+(-(63/(x-1)^2))+(-(602/(x-1)^3))+(-(2100/(x-1)^4))+(-(3360/(x-1)^5))+(-(720/(x-1)^7))))))+(1/(x-1)^2)+(1/(x-1)^4))
A257464 = (((-(1/1008))*integrate((A002604+(-((-(2/(x-1)))+(-(63/(x-1)^2))+(-(602/(x-1)^3))+(-(2100/(x-1)^4))+(-(3360/(x-1)^5))+(-(720/(x-1)^7)))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(7/24/(x-1)^3))+(-(1/2/(x-1)^4)))
A257201 = (((1/7560)*differential((A002604+(-((-(2/(x-1)))+(-(63/(x-1)^2))+(-(602/(x-1)^3))+(-(2100/(x-1)^4))+(-(3360/(x-1)^5))+(-(720/(x-1)^7)))))))+(1/(x-1)^5)+(2/(x-1)^6)+(1/(x-1)^8))
A257201 = (((-(1/360))*(A002604+(-((-(2/(x-1)))+(-(63/(x-1)^2))+(-(602/(x-1)^3))+(-(2100/(x-1)^4))+(-(3360/(x-1)^5))+(-(2520/(x-1)^6))))))+(1/(x-1)^5)+(2/(x-1)^6)+(1/(x-1)^8))
A257890 = (((1/120)*integrate((A002604+(-((-(2/(x-1)))+(-(63/(x-1)^2))+(-(602/(x-1)^3))+(-(2100/(x-1)^4))+(-(3360/(x-1)^5))+(-(2520/(x-1)^6)))))))+(1/(x-1)^2)+(1/(x-1)^4))
A257201 = (((1/5040)*differential((A002604+(-((-(2/(x-1)))+(-(63/(x-1)^2))+(-(602/(x-1)^3))+(-(2100/(x-1)^4))+(-(3360/(x-1)^5))+(-(2520/(x-1)^6)))))))+(1/(x-1)^5)+(2/(x-1)^6)+(2/(x-1)^7))
A176758 = ((1*A002605)+(1/2/((2*x)-1))+(1/2))
A257850 = (((2/5)*differential((A002620+(-((-(1/8/(x-1)))+(-(3/4/(x-1)^2))+(-(1/2/(x-1)^3)))))))+(((1/5)*((15*x^3)+(4*x^2)+(8*x)+9))/((((x^4-x^3)+x^2)-x)+1))+(-(-(((1/5)*((11*x^3)+(16*x^2)+(15*x)+8))/(x^4+x^3+x^2+x+1))))+(-(-(((1/2)*((2*x^3)+(2*x^2)+x))/(x^4+x^3+x^2+x+1)^2)))+(-(-(((1/2)*(((2*x^2)-x)+2))/((((x^4-x^3)+x^2)-x)+1)^2)))+(-(1/2/(x+1)))+(-(33/10/(x-1)))+(9/20/(x-1)^2))
A257890 = ((8*differential((A002620+(-((1/8/(x+1))+(-(3/4/(x-1)^2))+(-(1/2/(x-1)^3)))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257890 = (((-(4/3))*(A002620+(-((1/8/(x+1))+(-(1/8/(x-1)))+(-(1/2/(x-1)^3))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257464 = (((-(7/36))*differential((A002620+(-((1/8/(x+1))+(-(1/8/(x-1)))+(-(1/2/(x-1)^3)))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257464 = (((7/12)*(A002620+(-((1/8/(x+1))+(-(1/8/(x-1)))+(-(3/4/(x-1)^2))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A257890 = ((4*integrate((A002620+(-((1/8/(x+1))+(-(1/8/(x-1)))+(-(3/4/(x-1)^2)))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257890 = (((2/3)*differential((A002620+(-((1/8/(x+1))+(-(1/8/(x-1)))+(-(3/4/(x-1)^2)))))))+(1/(x-1)^2)+(1/(x-1)^6))
A241874 = (((5/432)*differential(A004171))+(-(4/125/((6*x)-1)))+(-(-(-(9/160/((5*x)-1)))))+(-(-(-(1/24/((4*x)-1)))))+(-(-(5/288/((3*x)-1))))+(-(-(3/32/((2*x)-1))))+(-(-(593/6000/(x-1))))+(-(-(3/80/((5*x)-1)^2)))+(-(-(13/144/((3*x)-1)^2)))+(-(1/16/((2*x)-1)^2))+(-(923/10800/(x-1)^2))+(-(1/24/((4*x)-1)^3))+(-(17/144/((3*x)-1)^3))+(-(1/16/((2*x)-1)^3))+(-(19/720/(x-1)^3))+(-(1/24/((3*x)-1)^4))+(-(3/32/((2*x)-1)^4))+(-(1/32/((2*x)-1)^5))+(-(3/160)))
A257850 = (((-(32768/73115))*differential((A002598+(-((3*x^3)+(-(-(-(-(-(-(-(-(-(3*x^2))))))))))+(-(-(-(-(-(-(-(-(-(((1/1024)*((98*x)-139))/(x^2+1)))))))))))+(-(-(-(-(-(-(-(-(((4/81)*((3*x)+2))/(x^2+x+1))))))))))+(-(-(-(-(-(-(-(-(((3/512)*((11*x)-8))/(x^2+1)^2)))))))))+(-(-(-(-(-(-(-(((4/729)*((5*x)-1))/(x^2+x+1)^2))))))))+(-(-(-(-(-(-(-(580421/3538944/(x-1)))))))))+(-(-(-(-(-(-(-(((1/128)*((3*x)-1))/(x^2+1)^3))))))))+(-(-(-(-(-(-(13087/262144/(x+1)^2)))))))+(-(-(-(-(-(-(2957677/21233664/(x-1)^2)))))))+(-(-(-(-(-(-(1/243/(x^2+x+1)^3)))))))+(-(-(-(-(-(1131/65536/(x+1)^3))))))+(-(-(-(-(-(2471677/23887872/(x-1)^3))))))+(-(-(-(-(-(((1/256)*x)/(x^2+1)^4))))))+(-(-(-(-(287/65536/(x+1)^4)))))+(-(-(-(-(1595929/23887872/(x-1)^4)))))+(-(-(-(-(3/4096/(x+1)^5)))))+(-(-(-(-(341/9216/(x-1)^5)))))+(-(-(-(1/16384/(x+1)^6))))+(-(-(-(11407/663552/(x-1)^6))))+(-(-(-(715/110592/(x-1)^7))))+(-(-(205/110592/(x-1)^8)))+(-(-(5/13824/(x-1)^9)))+(-(1/27648/(x-1)^10))+(-1))))))+(((1/5)*((15*x^3)+(4*x^2)+(8*x)+9))/((((x^4-x^3)+x^2)-x)+1))+(-(-(((1/5)*((11*x^3)+(16*x^2)+(15*x)+8))/(x^4+x^3+x^2+x+1))))+(-(-(((1/2)*((2*x^3)+(2*x^2)+x))/(x^4+x^3+x^2+x+1)^2)))+(-(-(((1/2)*(((2*x^2)-x)+2))/((((x^4-x^3)+x^2)-x)+1)^2)))+(-(1/2/(x+1)))+(-(33/10/(x-1)))+(9/20/(x-1)^2))
A257890 = (((3538944/580421)*differential((A002598+(-((3*x^3)+(-(-(-(-(-(-(-(-(-(3*x^2))))))))))+(-(-(-(-(-(-(-(-(-(((1/1024)*((98*x)-139))/(x^2+1)))))))))))+(-(-(-(-(-(-(-(-(((4/81)*((3*x)+2))/(x^2+x+1))))))))))+(-(-(-(-(-(-(-(-(((3/512)*((11*x)-8))/(x^2+1)^2)))))))))+(-(-(-(-(-(-(-(((4/729)*((5*x)-1))/(x^2+x+1)^2))))))))+(-(-(-(-(-(-(-(14623/131072/(x+1)))))))))+(-(-(-(-(-(-(-(((1/128)*((3*x)-1))/(x^2+1)^3))))))))+(-(-(-(-(-(-(13087/262144/(x+1)^2)))))))+(-(-(-(-(-(-(2957677/21233664/(x-1)^2)))))))+(-(-(-(-(-(-(1/243/(x^2+x+1)^3)))))))+(-(-(-(-(-(1131/65536/(x+1)^3))))))+(-(-(-(-(-(2471677/23887872/(x-1)^3))))))+(-(-(-(-(-(((1/256)*x)/(x^2+1)^4))))))+(-(-(-(-(287/65536/(x+1)^4)))))+(-(-(-(-(1595929/23887872/(x-1)^4)))))+(-(-(-(-(3/4096/(x+1)^5)))))+(-(-(-(-(341/9216/(x-1)^5)))))+(-(-(-(1/16384/(x+1)^6))))+(-(-(-(11407/663552/(x-1)^6))))+(-(-(-(715/110592/(x-1)^7))))+(-(-(205/110592/(x-1)^8)))+(-(-(5/13824/(x-1)^9)))+(-(1/27648/(x-1)^10))+(-1))))))+(1/(x-1)^4)+(1/(x-1)^6))
A257850 = (((-(65536/65435))*(A002598+(-((3*x^3)+(-(-(-(-(-(-(-(-(-(3*x^2))))))))))+(-(-(-(-(-(-(-(-(-(((1/1024)*((98*x)-139))/(x^2+1)))))))))))+(-(-(-(-(-(-(-(-(((4/81)*((3*x)+2))/(x^2+x+1))))))))))+(-(-(-(-(-(-(-(-(((3/512)*((11*x)-8))/(x^2+1)^2)))))))))+(-(-(-(-(-(-(-(((4/729)*((5*x)-1))/(x^2+x+1)^2))))))))+(-(-(-(-(-(-(-(14623/131072/(x+1)))))))))+(-(-(-(-(-(-(-(580421/3538944/(x-1)))))))))+(-(-(-(-(-(-(-(((1/128)*((3*x)-1))/(x^2+1)^3))))))))+(-(-(-(-(-(-(2957677/21233664/(x-1)^2)))))))+(-(-(-(-(-(-(1/243/(x^2+x+1)^3)))))))+(-(-(-(-(-(1131/65536/(x+1)^3))))))+(-(-(-(-(-(2471677/23887872/(x-1)^3))))))+(-(-(-(-(-(((1/256)*x)/(x^2+1)^4))))))+(-(-(-(-(287/65536/(x+1)^4)))))+(-(-(-(-(1595929/23887872/(x-1)^4)))))+(-(-(-(-(3/4096/(x+1)^5)))))+(-(-(-(-(341/9216/(x-1)^5)))))+(-(-(-(1/16384/(x+1)^6))))+(-(-(-(11407/663552/(x-1)^6))))+(-(-(-(715/110592/(x-1)^7))))+(-(-(205/110592/(x-1)^8)))+(-(-(5/13824/(x-1)^9)))+(-(1/27648/(x-1)^10))+(-1)))))+(((1/5)*((15*x^3)+(4*x^2)+(8*x)+9))/((((x^4-x^3)+x^2)-x)+1))+(-(-(((1/5)*((11*x^3)+(16*x^2)+(15*x)+8))/(x^4+x^3+x^2+x+1))))+(-(-(((1/2)*((2*x^3)+(2*x^2)+x))/(x^4+x^3+x^2+x+1)^2)))+(-(-(((1/2)*(((2*x^2)-x)+2))/((((x^4-x^3)+x^2)-x)+1)^2)))+(-(1/2/(x+1)))+(-(33/10/(x-1)))+(9/20/(x-1)^2))
A257171 = (((16384/13087)*differential((A002598+(-((3*x^3)+(-(-(-(-(-(-(-(-(-(3*x^2))))))))))+(-(-(-(-(-(-(-(-(-(((1/1024)*((98*x)-139))/(x^2+1)))))))))))+(-(-(-(-(-(-(-(-(((4/81)*((3*x)+2))/(x^2+x+1))))))))))+(-(-(-(-(-(-(-(-(((3/512)*((11*x)-8))/(x^2+1)^2)))))))))+(-(-(-(-(-(-(-(((4/729)*((5*x)-1))/(x^2+x+1)^2))))))))+(-(-(-(-(-(-(-(14623/131072/(x+1)))))))))+(-(-(-(-(-(-(-(580421/3538944/(x-1)))))))))+(-(-(-(-(-(-(-(((1/128)*((3*x)-1))/(x^2+1)^3))))))))+(-(-(-(-(-(-(2957677/21233664/(x-1)^2)))))))+(-(-(-(-(-(-(1/243/(x^2+x+1)^3)))))))+(-(-(-(-(-(1131/65536/(x+1)^3))))))+(-(-(-(-(-(2471677/23887872/(x-1)^3))))))+(-(-(-(-(-(((1/256)*x)/(x^2+1)^4))))))+(-(-(-(-(287/65536/(x+1)^4)))))+(-(-(-(-(1595929/23887872/(x-1)^4)))))+(-(-(-(-(3/4096/(x+1)^5)))))+(-(-(-(-(341/9216/(x-1)^5)))))+(-(-(-(1/16384/(x+1)^6))))+(-(-(-(11407/663552/(x-1)^6))))+(-(-(-(715/110592/(x-1)^7))))+(-(-(205/110592/(x-1)^8)))+(-(-(5/13824/(x-1)^9)))+(-(1/27648/(x-1)^10))+(-1))))))+(2*x)+(-(-(3/8/(x+1))))+(-(-(3/8/(x-1))))+(-(3/4/(x-1)^2))+(-(3/8/(x-1)^3))+(-(3/4/(x-1)^4))+(-1))
A257890 = (((21233664/2957677)*(A002598+(-((3*x^3)+(-(-(-(-(-(-(-(-(-(3*x^2))))))))))+(-(-(-(-(-(-(-(-(-(((1/1024)*((98*x)-139))/(x^2+1)))))))))))+(-(-(-(-(-(-(-(-(((4/81)*((3*x)+2))/(x^2+x+1))))))))))+(-(-(-(-(-(-(-(-(((3/512)*((11*x)-8))/(x^2+1)^2)))))))))+(-(-(-(-(-(-(-(((4/729)*((5*x)-1))/(x^2+x+1)^2))))))))+(-(-(-(-(-(-(-(14623/131072/(x+1)))))))))+(-(-(-(-(-(-(-(580421/3538944/(x-1)))))))))+(-(-(-(-(-(-(-(((1/128)*((3*x)-1))/(x^2+1)^3))))))))+(-(-(-(-(-(-(13087/262144/(x+1)^2)))))))+(-(-(-(-(-(-(1/243/(x^2+x+1)^3)))))))+(-(-(-(-(-(1131/65536/(x+1)^3))))))+(-(-(-(-(-(2471677/23887872/(x-1)^3))))))+(-(-(-(-(-(((1/256)*x)/(x^2+1)^4))))))+(-(-(-(-(287/65536/(x+1)^4)))))+(-(-(-(-(1595929/23887872/(x-1)^4)))))+(-(-(-(-(3/4096/(x+1)^5)))))+(-(-(-(-(341/9216/(x-1)^5)))))+(-(-(-(1/16384/(x+1)^6))))+(-(-(-(11407/663552/(x-1)^6))))+(-(-(-(715/110592/(x-1)^7))))+(-(-(205/110592/(x-1)^8)))+(-(-(5/13824/(x-1)^9)))+(-(1/27648/(x-1)^10))+(-1)))))+(1/(x-1)^4)+(1/(x-1)^6))
A257464 = (((3096576/2957677)*differential((A002598+(-((3*x^3)+(-(-(-(-(-(-(-(-(-(3*x^2))))))))))+(-(-(-(-(-(-(-(-(-(((1/1024)*((98*x)-139))/(x^2+1)))))))))))+(-(-(-(-(-(-(-(-(((4/81)*((3*x)+2))/(x^2+x+1))))))))))+(-(-(-(-(-(-(-(-(((3/512)*((11*x)-8))/(x^2+1)^2)))))))))+(-(-(-(-(-(-(-(((4/729)*((5*x)-1))/(x^2+x+1)^2))))))))+(-(-(-(-(-(-(-(14623/131072/(x+1)))))))))+(-(-(-(-(-(-(-(580421/3538944/(x-1)))))))))+(-(-(-(-(-(-(-(((1/128)*((3*x)-1))/(x^2+1)^3))))))))+(-(-(-(-(-(-(13087/262144/(x+1)^2)))))))+(-(-(-(-(-(-(1/243/(x^2+x+1)^3)))))))+(-(-(-(-(-(1131/65536/(x+1)^3))))))+(-(-(-(-(-(2471677/23887872/(x-1)^3))))))+(-(-(-(-(-(((1/256)*x)/(x^2+1)^4))))))+(-(-(-(-(287/65536/(x+1)^4)))))+(-(-(-(-(1595929/23887872/(x-1)^4)))))+(-(-(-(-(3/4096/(x+1)^5)))))+(-(-(-(-(341/9216/(x-1)^5)))))+(-(-(-(1/16384/(x+1)^6))))+(-(-(-(11407/663552/(x-1)^6))))+(-(-(-(715/110592/(x-1)^7))))+(-(-(205/110592/(x-1)^8)))+(-(-(5/13824/(x-1)^9)))+(-(1/27648/(x-1)^10))+(-1))))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(1/2/(x-1)^5)))
A213033 = ((243*x*(A002598+(-((3*x^3)+(-(-(-(-(-(-(-(-(-(3*x^2))))))))))+(-(-(-(-(-(-(-(-(-(((1/1024)*((98*x)-139))/(x^2+1)))))))))))+(-(-(-(-(-(-(-(-(((4/81)*((3*x)+2))/(x^2+x+1))))))))))+(-(-(-(-(-(-(-(-(((3/512)*((11*x)-8))/(x^2+1)^2)))))))))+(-(-(-(-(-(-(-(((4/729)*((5*x)-1))/(x^2+x+1)^2))))))))+(-(-(-(-(-(-(-(14623/131072/(x+1)))))))))+(-(-(-(-(-(-(-(580421/3538944/(x-1)))))))))+(-(-(-(-(-(-(-(((1/128)*((3*x)-1))/(x^2+1)^3))))))))+(-(-(-(-(-(-(13087/262144/(x+1)^2)))))))+(-(-(-(-(-(-(2957677/21233664/(x-1)^2)))))))+(-(-(-(-(-(1131/65536/(x+1)^3))))))+(-(-(-(-(-(2471677/23887872/(x-1)^3))))))+(-(-(-(-(-(((1/256)*x)/(x^2+1)^4))))))+(-(-(-(-(287/65536/(x+1)^4)))))+(-(-(-(-(1595929/23887872/(x-1)^4)))))+(-(-(-(-(3/4096/(x+1)^5)))))+(-(-(-(-(341/9216/(x-1)^5)))))+(-(-(-(1/16384/(x+1)^6))))+(-(-(-(11407/663552/(x-1)^6))))+(-(-(-(715/110592/(x-1)^7))))+(-(-(205/110592/(x-1)^8)))+(-(-(5/13824/(x-1)^9)))+(-(1/27648/(x-1)^10))+(-1)))))+(((1/4)*(x+1))/(x^2+x+1))+(-(-(((1/12)*(x-1))/((x^2-x)+1))))+(-(-(((1/4)*((6*x)+1))/(x^2+x+1)^2)))+(-(-(((1/12)*((2*x)-1))/((x^2-x)+1)^2)))+(-(1/6/(x+1)))+(-(1/2/(x-1)))+(-(1/3/(x+1)^2))+(2/(x-1)^2)+(1/6/(x+1)^3)+(5/2/(x-1)^3)+(1/(x-1)^4))
A257171 = (((8192/1131)*(A002598+(-((3*x^3)+(-(-(-(-(-(-(-(-(-(3*x^2))))))))))+(-(-(-(-(-(-(-(-(-(((1/1024)*((98*x)-139))/(x^2+1)))))))))))+(-(-(-(-(-(-(-(-(((4/81)*((3*x)+2))/(x^2+x+1))))))))))+(-(-(-(-(-(-(-(-(((3/512)*((11*x)-8))/(x^2+1)^2)))))))))+(-(-(-(-(-(-(-(((4/729)*((5*x)-1))/(x^2+x+1)^2))))))))+(-(-(-(-(-(-(-(14623/131072/(x+1)))))))))+(-(-(-(-(-(-(-(580421/3538944/(x-1)))))))))+(-(-(-(-(-(-(-(((1/128)*((3*x)-1))/(x^2+1)^3))))))))+(-(-(-(-(-(-(13087/262144/(x+1)^2)))))))+(-(-(-(-(-(-(2957677/21233664/(x-1)^2)))))))+(-(-(-(-(-(-(1/243/(x^2+x+1)^3)))))))+(-(-(-(-(-(2471677/23887872/(x-1)^3))))))+(-(-(-(-(-(((1/256)*x)/(x^2+1)^4))))))+(-(-(-(-(287/65536/(x+1)^4)))))+(-(-(-(-(1595929/23887872/(x-1)^4)))))+(-(-(-(-(3/4096/(x+1)^5)))))+(-(-(-(-(341/9216/(x-1)^5)))))+(-(-(-(1/16384/(x+1)^6))))+(-(-(-(11407/663552/(x-1)^6))))+(-(-(-(715/110592/(x-1)^7))))+(-(-(205/110592/(x-1)^8)))+(-(-(5/13824/(x-1)^9)))+(-(1/27648/(x-1)^10))+(-1)))))+(2*x)+(-(-(3/8/(x+1))))+(-(-(3/8/(x-1))))+(-(3/4/(x-1)^2))+(-(3/8/(x-1)^3))+(-(3/4/(x-1)^4))+(-1))
A257850 = (((-(32768/5655))*integrate((A002598+(-((3*x^3)+(-(-(-(-(-(-(-(-(-(3*x^2))))))))))+(-(-(-(-(-(-(-(-(-(((1/1024)*((98*x)-139))/(x^2+1)))))))))))+(-(-(-(-(-(-(-(-(((4/81)*((3*x)+2))/(x^2+x+1))))))))))+(-(-(-(-(-(-(-(-(((3/512)*((11*x)-8))/(x^2+1)^2)))))))))+(-(-(-(-(-(-(-(((4/729)*((5*x)-1))/(x^2+x+1)^2))))))))+(-(-(-(-(-(-(-(14623/131072/(x+1)))))))))+(-(-(-(-(-(-(-(580421/3538944/(x-1)))))))))+(-(-(-(-(-(-(-(((1/128)*((3*x)-1))/(x^2+1)^3))))))))+(-(-(-(-(-(-(13087/262144/(x+1)^2)))))))+(-(-(-(-(-(-(2957677/21233664/(x-1)^2)))))))+(-(-(-(-(-(-(1/243/(x^2+x+1)^3)))))))+(-(-(-(-(-(2471677/23887872/(x-1)^3))))))+(-(-(-(-(-(((1/256)*x)/(x^2+1)^4))))))+(-(-(-(-(287/65536/(x+1)^4)))))+(-(-(-(-(1595929/23887872/(x-1)^4)))))+(-(-(-(-(3/4096/(x+1)^5)))))+(-(-(-(-(341/9216/(x-1)^5)))))+(-(-(-(1/16384/(x+1)^6))))+(-(-(-(11407/663552/(x-1)^6))))+(-(-(-(715/110592/(x-1)^7))))+(-(-(205/110592/(x-1)^8)))+(-(-(5/13824/(x-1)^9)))+(-(1/27648/(x-1)^10))+(-1))))))+(((1/5)*((15*x^3)+(4*x^2)+(8*x)+9))/((((x^4-x^3)+x^2)-x)+1))+(-(-(((1/5)*((11*x^3)+(16*x^2)+(15*x)+8))/(x^4+x^3+x^2+x+1))))+(-(-(((1/2)*((2*x^3)+(2*x^2)+x))/(x^4+x^3+x^2+x+1)^2)))+(-(-(((1/2)*(((2*x^2)-x)+2))/((((x^4-x^3)+x^2)-x)+1)^2)))+(-(1/2/(x+1)))+(-(33/10/(x-1)))+(9/20/(x-1)^2))
A254233 = (((512/3393)*differential((A002598+(-((3*x^3)+(-(-(-(-(-(-(-(-(-(3*x^2))))))))))+(-(-(-(-(-(-(-(-(-(((1/1024)*((98*x)-139))/(x^2+1)))))))))))+(-(-(-(-(-(-(-(-(((4/81)*((3*x)+2))/(x^2+x+1))))))))))+(-(-(-(-(-(-(-(-(((3/512)*((11*x)-8))/(x^2+1)^2)))))))))+(-(-(-(-(-(-(-(((4/729)*((5*x)-1))/(x^2+x+1)^2))))))))+(-(-(-(-(-(-(-(14623/131072/(x+1)))))))))+(-(-(-(-(-(-(-(580421/3538944/(x-1)))))))))+(-(-(-(-(-(-(-(((1/128)*((3*x)-1))/(x^2+1)^3))))))))+(-(-(-(-(-(-(13087/262144/(x+1)^2)))))))+(-(-(-(-(-(-(2957677/21233664/(x-1)^2)))))))+(-(-(-(-(-(-(1/243/(x^2+x+1)^3)))))))+(-(-(-(-(-(2471677/23887872/(x-1)^3))))))+(-(-(-(-(-(((1/256)*x)/(x^2+1)^4))))))+(-(-(-(-(287/65536/(x+1)^4)))))+(-(-(-(-(1595929/23887872/(x-1)^4)))))+(-(-(-(-(3/4096/(x+1)^5)))))+(-(-(-(-(341/9216/(x-1)^5)))))+(-(-(-(1/16384/(x+1)^6))))+(-(-(-(11407/663552/(x-1)^6))))+(-(-(-(715/110592/(x-1)^7))))+(-(-(205/110592/(x-1)^8)))+(-(-(5/13824/(x-1)^9)))+(-(1/27648/(x-1)^10))+(-1))))))+(((1/972)*((113*x)+137))/(x^2+x+1))+(-(-(-(-(-(((1/12)*(x-1))/((x^2-x)+1)))))))+(-(-(-(-(3/32/(x^2+1))))))+(-(-(-(-(((1/162)*((12*x)+11))/(x^2+x+1)^2)))))+(-(-(-(-(41/384/(x+1))))))+(-(-(-(-(4345/31104/(x-1))))))+(-(-(-(83/1536/(x+1)^2))))+(-(-(-(9205/124416/(x-1)^2))))+(-(-(-(((1/27)*x)/(x^2+x+1)^3))))+(-(-(-(3/128/(x+1)^3))))+(-(-(-(3/64/(x-1)^3))))+(-(-(23/576/(x-1)^4)))+(-(-(5/144/(x-1)^5)))+(-(1/32/(x-1)^6))+(-(1/36/(x-1)^7))+(1/36/(x-1)^8))
A257464 = (((6967296/2471677)*(A002598+(-((3*x^3)+(-(-(-(-(-(-(-(-(-(3*x^2))))))))))+(-(-(-(-(-(-(-(-(-(((1/1024)*((98*x)-139))/(x^2+1)))))))))))+(-(-(-(-(-(-(-(-(((4/81)*((3*x)+2))/(x^2+x+1))))))))))+(-(-(-(-(-(-(-(-(((3/512)*((11*x)-8))/(x^2+1)^2)))))))))+(-(-(-(-(-(-(-(((4/729)*((5*x)-1))/(x^2+x+1)^2))))))))+(-(-(-(-(-(-(-(14623/131072/(x+1)))))))))+(-(-(-(-(-(-(-(580421/3538944/(x-1)))))))))+(-(-(-(-(-(-(-(((1/128)*((3*x)-1))/(x^2+1)^3))))))))+(-(-(-(-(-(-(13087/262144/(x+1)^2)))))))+(-(-(-(-(-(-(2957677/21233664/(x-1)^2)))))))+(-(-(-(-(-(-(1/243/(x^2+x+1)^3)))))))+(-(-(-(-(-(1131/65536/(x+1)^3))))))+(-(-(-(-(-(((1/256)*x)/(x^2+1)^4))))))+(-(-(-(-(287/65536/(x+1)^4)))))+(-(-(-(-(1595929/23887872/(x-1)^4)))))+(-(-(-(-(3/4096/(x+1)^5)))))+(-(-(-(-(341/9216/(x-1)^5)))))+(-(-(-(1/16384/(x+1)^6))))+(-(-(-(11407/663552/(x-1)^6))))+(-(-(-(715/110592/(x-1)^7))))+(-(-(205/110592/(x-1)^8)))+(-(-(5/13824/(x-1)^9)))+(-(1/27648/(x-1)^10))+(-1)))))+(((1/9)*(x+2))/(x^2+x+1))+(-(-(3/32/(x+1))))+(-(-(59/288/(x-1))))+(-(3/16/(x+1)^2))+(-(1/2/(x-1)^4))+(-(