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comparisonIntegrands.m
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comparisonIntegrands.m
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(* ::Package:: *)
comparisonIntegrands = {
(1+x^6)/((1-x^6)*(1+x^4)^(1/2)),
(1+x^6)/((1-x^6)*(1-x^2+x^4)^(1/2)),
(x*(1+2*x^4)^(-1/2))/(1+x^4),
((-1+x^2)*(1+x^4)^(1/2))/(1+x^2)^3,
((-1+x^4)*(1+x^4)^(1/2))/(1+x^8),
((2+x^3)*(1-x^3)^(1/2))/(-1+x^3)^2,
((2+x^4)*(2-x^4)^(1/2))/(-2+x^4)^2,
((1+x^4)*(-1+x^2+x^4)^(1/2))/(-1+x^4)^2,
((1+x^8)*(-1+x^4)^(1/2))/(x^7*(2+x^8)),
((-1+x^4)*(1+x^4)^(1/2))/(1+x^4+x^8),
(x*(1+x^4)^(-1/2))/(1+3*x^4+3*x^8),
((2+x^3)*(1+x^2-x^3)^(1/2))/(-1+x^3)^2,
((-2+x^3)*(1-x^2+x^3)^(1/2))/(1+x^3)^2,
(-1+x^2)^3*(1+x^2)*(1-x^2+x^4)^(-5/2),
((-1+x^4)*(1+x^4)^(1/2))/(1+3*x^2+x^4)^2,
((2+3*x^5)*(-1+x^2+x^5)^(1/2))/(-1+x^5)^2,
((-1+x^4)*(1+x^4)^(1/2))/(1+3*x^4+x^8),
((1+x^8)*(1+3*x^4-3*x^12+x^16)^(1/2))/x^9,
((-2+3*x^5)*(1+x^5)^(-1/2))/(1-x^2+x^5),
((-1+2*x^6)*(1+x^6)^(1/2))/(1-x^2+x^6)^2,
((-1+2*x^6)*(1+x^6)^(-1/2))/(1-x^2+x^6),
((-1+2*x^6)*(1-x^2+x^6)^(1/2))/(1+x^6)^2,
((1+2*x^6)*(-1-x^2+x^6)^(3/2))/(-1+x^6)^3,
((1+x^4)*(1-x^4)^(1/2))/(1-x^4+x^8),
((1-x^2)*(1+x^2+x^4)^(-1/2))/(1+x^2),
((-1+x^2)*(1+3*x^2+x^4)^(1/2))/(x^2*(1+x^2)),
((-4+x^6)*(2-x^4+x^6)^(5/2))/(x^7*(2+x^6)^2),
((-2+x^6)*(1+2*x^4+x^6)^(3/2))/(x^3*(1+x^6)^2),
((2-x^4+x^8)*(1+x^4)^(1/2))/(x^7*(-2+x^8)),
((2+2*x^4+x^8)*(-1+x^4)^(1/2))/(x^7*(-2+x^8)),
((1+x^8)*(1-x^8+x^16)^(1/2))/(x^5*(-1+x^8)),
((-1+x^2)*(-1-x^4)^(1/2))/((1+x^2)*(1+x^4)),
((-2+3*x^5)*(-1-x^2-x^5)^(1/2))/(1+x^5)^2,
((2+3*x^5)*(1-x^5)^(1/2))/(-1-x^2+x^5)^2,
((-1+x^2)*(1+x^4)^(1/2))/((1+x^2)^2*(1-x+x^2)),
((1+x^4)*(-1-3*x^2+x^4)^(1/2))/(-1-x^2+x^4)^2,
((1+x^4)*(-1-2*x^2+x^4)^(1/2))/(-1-x^2+x^4)^2,
((-1+x^2)*(1+x^4)^(1/2))/((1+x^2)*(1+x^2+x^4)),
((2+x^3)*(-1+x^3)^(1/2))/(1-2*x^3-x^4+x^6),
((1+2*x^6)*(-1+2*x^2+x^6)^(1/2))/(-1+x^2+x^6)^2,
((-1+x^4)*(-1-x^2-x^4)^(1/2))/(1+x^4+x^8),
((-1+x^4)*(1-2*x^4)^(1/2))/(x^7*(-1+2*x^4+x^8)),
((-2+3*x^5)*(1+x^5)^(1/2))/(1+x^4+2*x^5+x^10),
((-1+x^2)*(1+x^4)^(1/2))/((1-x+x^2)*(1+x+x^2)^2),
((2+x^2)*(4-5*x^2+x^4)^(1/2))/(x^2*(-2+2*x+x^2)),
((2+x^2)*(-4+x+2*x^2)*(8-7*x^2+2*x^4)^(1/2))/x^4,
(x*(4+x^6)*(2+x^4-x^6)^(1/2))/(-2-2*x^4+x^6)^2,
((-1+x^4)*(1+x^4)^(1/2))/(1+x^2+3*x^4+x^6+x^8),
((2+x^3)*(1-x^3)^(1/2))/((-1+x^3)*(-1+x^2+x^3)),
((-2+x^3)*(-1-x^3)^(1/2))/((1+x^3)*(1+x^2+x^3)),
((2+3*x^5)*(-1-2*x^2+x^5)^(1/2))/(-1-x^2+x^5)^2,
((-1+2*x^8)*(-1+2*x^4)^(1/2))/(x^7*(-1+2*x^4+x^8)),
((1+2*x^5)*(4-2*x+x^2-4*x^5+x^6+x^10)^(-1/2))/x,
((1+2*x^6)*(-1+x^6)^(1/2))/(1-x^4-2*x^6+x^12),
((1+2*x^6)*(1-x^6)^(1/2))/(1+x^4-2*x^6+x^12),
((1+x^3)*(-1-x^2+2*x^3)*(-1+x^2+2*x^3)^(1/2))/x^6,
((-1+x^4)*(1+x^2+x^4)*(-1+x^2-x^4)^(1/2))/(1+x^4)^3,
((1+x^3)*(-2-x^3+x^6)^(1/2))/(x^4*(-1-2*x^3+x^6)),
((-3+x^4)*(4+8*x^4+x^6+4*x^8)^(3/2))/(x^10*(1+x^4)),
((2+3*x^5)*(-1+x^2+x^5)^(1/2))/(1+x^4-2*x^5+x^10),
((-4+x^3)*(2+x^3)*(2-2*x^2+x^3)*(2+x^2+x^3)^(-1/2))/x^6,
((-1+x^2)*(1+x^2)*(1+3*x^2+x^4)^(1/2))/(x^2*(1+x+x^2)^2),
((-1+2*x^6)*(-1-x^6)^(1/2))/((1+x^6)*(1+x^2+x^6)),
((1+x^4+2*x^6)*(-1+x^2+x^4+x^6)^(1/2))/(-1+x^4+x^6)^2,
((2+x^3)*(2-x^2-4*x^3+x^4+x^5+2*x^6)^(1/2))/x^5,
((-1+3*x^4)*(-2+3*x^4)^(1/2))/(x^3*(1-3*x^4+3*x^8)),
((2+x^3)*(-1-x^2+x^3)^(1/2))/((-1+x^3)*(-1+x^2+x^3)),
((-2+x^3)*(1-x^2+x^3)^(1/2))/((1+x^3)*(1+x^2+x^3)),
((-4+x^3)*(2-x^2+x^3)^(1/2))/((2+x^3)*(2+x^2+x^3)),
((-2+x^3)*(2+x^2+2*x^3)^(1/2))/((1+x^3)*(1+x^2+x^3)),
((-1+x^4)*(1-x^2+x^4)^(1/2))/((1+x^4)*(1+x^2+x^4)),
((1+x^4)*(-1+2*x^2+x^4)^(1/2))/((-1+x^4)*(-1+x^2+x^4)),
((-2+x^4)*(2+x^4)^(1/2))/((2+x^2+x^4)*(2+2*x^2+x^4)),
((-2+x^2)*(2-2*x+x^2)*(4+2*x+2*x^2+x^3+x^4)^(1/2))/x^4,
((-1+x^4)*(1+x^2+x^4)^(1/2))/((1+x^4)*(2+x^2+2*x^4)),
((2+x^3)*(-1-x^2+x^3)^(1/2))/(1-2*x^3-x^4+x^6),
((-1+x^2+x^6)*(1+2*x^6)*(-1-x^2+x^6)^(1/2))/(-1+x^6)^3,
((2-2*x^4+x^8)*(2-x^4)^(1/2))/(x^7*(-2-2*x^4+x^8)),
((-2+3*x^5)*(1-x^2+x^5)^(1/2))/(1+x^4+2*x^5+x^10),
((2+2*x^4+3*x^5)*(-1+x^2+x^4+x^5)^(1/2))/(-1+x^4+x^5)^2,
((1+x^6)*(-2+x^2+x^6)*(-2+x^6)^(1/2))/(x^4*(-2-2*x^2+x^6)),
((-1+x^6)*(2+x^6)*(2+3*x^2+x^6)^(1/2))/(x^2*(2+x^2+x^6)^2),
((1+x^6)*(-1+x^3+x^6)*(1+x^12)^(1/2))/(x^7*(-1-x^3+x^6)),
((4+x^6)*(4+28*x^4-4*x^6+48*x^8-14*x^10+x^12)^(1/2))/x^9,
((-2+x^3)*(-1-x^2-x^3)^(1/2))/((1+x^3)*(1+x^2+x^3)),
((4+x^5)*(-2+3*x^4+2*x^5)^(3/2))/(x^7*(-2-x^4+2*x^5)),
((-2+3*x^5)*(-1+x^2-x^5)^(1/2))/((1+x^5)*(1+x^2+x^5)),
((-2+3*x^5)*(1+x^2+x^5)^(1/2))/((1+x^5)*(1-x^2+x^5)),
((-1+2*x^6)*(1-x^2+x^6)^(1/2))/((1+x^6)*(1+x^2+x^6)),
((-1+3*x^4)*(1+x+2*x^4+x^5+x^8)^(1/2))/(x^2*(4+x+4*x^4)),
((1+x^2)*(1+x^8)*(1+x^2+x^4+x^6+x^8)^(1/2))/(x^7*(-1+x^2)),
((2+3*x^5)*(-1-x^2+x^5)^(1/2))/(1-x^4-2*x^5+x^10),
((-1+x^3)^3*(1+x^3)*(2+3*x^6+2*x^12)^(1/2))/(x^7*(1+x^6)),
((-1+x^2)*(1+x+x^2)*(1+3*x^2+x^4)^(1/2))/(1+x+x^2+x^3+x^4)^2,
((2+x^3)*(1-2*x^3-x^4+x^6)^(1/2))/(x^3*(-1-x^2+x^3)),
((-8+21*x^5)*(16+4*x^2+x^4+56*x^5+7*x^7+49*x^10)^(1/2))/x^5,
((1+x^6)*(1+2*x^3-2*x^9+x^12)^(1/2))/(x*(-1-x^3+x^6)^2),
((8+3*x^7)*(4+2*x^4-4*x^7-x^8-x^11+x^14)^(3/2))/x^17,
((-3+8*x^7)*(2-x^3+x^6+8*x^7-2*x^10+8*x^14)^(3/2))/x^13,
((4+x^3)*(2+2*x^2-x^3)^(1/2))/((-2+x^3)*(-2-2*x^2+x^3)),
((1+x^4)*(-2-x^2+2*x^4)^(1/2))/((-1+x^4)*(-2+x^2+2*x^4)),
((2+3*x^5)*(1-x^2-x^5)^(1/2))/((-1+x^5)*(-1+x^2+x^5)),
((-1+2*x^6)*(-1+x^2-x^6)^(1/2))/((1+x^6)*(1-x^2+x^6)),
((-1+x^4)*(-1+2*x^4)*(1-x^4)^(1/2))/(x^7*(4-10*x^4+5*x^8)),
((-1+x^6)*(2+x^6)*(1-x^4-x^6)^(1/2))/(x^7*(-1-x^4+x^6)),
((4+3*x^7)*(-1-x^4+x^7)^(3/2))/(x^3*(-1+x^7)*(-1+x^4+x^7)),
((2+x^4)*(2+x^2-x^4)^(1/2))/((-2-2*x^2+x^4)*(-2-x^2+x^4)),
((-2+x^5)*(1+2*x^5)*(2-7*x^4+4*x^5)^(1/2))/(x^7*(2+x^4+4*x^5)),
((2+x^3)*(-1-x^2+x^3)^(1/2))/(1-x^2-2*x^3-x^4+x^5+x^6),
((-6+x^4)*(2+x^4)*(4+2*x^3+4*x^4-2*x^6+x^7+x^8)^(1/2))/x^10,
((1+x^4)*(-1-x^2+x^4)*(-1+x^4)^(-1/2))/(1+x^2-x^4-x^6+x^8),
((-1+x^4)*(1-x^2+x^4-x^6+x^8)*(-1+x^2-x^4)^(1/2))/(1+x^4)^4,
((-2+3*x^5)*(-1+x^2-x^5)^(1/2))/((1-2*x^2+x^5)*(1-x^2+x^5)),
((2+x^2)*(-2-2*x+x^2)*(4-3*x^2+x^4)^(1/2))/(x^2*(-2+x^2)*(-4+x+2*x^2)),
((-2+x^4)*(14-x^2+7*x^4)*(6+4*x^2+3*x^4)^(1/2))/(x^4*(42+x^2+21*x^4)),
((1+x^4)*(1-2*x^2+2*x^6+x^8)*(1-x^4)^(1/2))/((-1+x^4)*(-1+x^2+x^4)^3),
((1+2*x^4)*(1-3*x^2-2*x^4)^(1/2))/((-1+x^2+2*x^4)*(-1+2*x^2+2*x^4)),
((2+x^3+2*x^4)*(-1+x^2+x^3+x^4)^(1/2))/((-1+x^3+x^4)*(-1-x^2+x^3+x^4)),
((16+x^5)*(-24-19*x^4+6*x^5)*(-16-19*x^4+4*x^5)^(1/2))/(x^7*(-12-11*x^4+3*x^5)),
((-1+4*x^5)*(3-11*x^2+8*x^5)*(-3+x^2-8*x^5)^(1/2))/(x^4*(9-23*x^2+24*x^5)),
((1+x^4+2*x^6)*(-1+x^2+x^4+x^6)^(1/2))/(1-x^4-2*x^6+x^8+2*x^10+x^12),
((-4+x^3)*(42-x^2+21*x^3)*(-6+x^2-3*x^3)^(1/2))/(x^2*(2+x^3)*(2+x^2+x^3)),
((1+x^3+x^4)*(1-2*x^3-x^4)^(1/2))/((-1+2*x^3+x^4)*(-1+x^2+2*x^3+x^4)),
((-1+2*x^4)*(1-3*x^2+2*x^4)^(1/2))/((1-2*x^2+2*x^4)*(1-x^2+2*x^4)),
((-1+x^4)*(1+x^4)*(3-2*x^2+3*x^4)*(1-2*x^2+x^4)^(1/2))/(x^6*(3+x^2+3*x^4)),
((1-x^2+2*x^4)*(-1+x^2+x^4+x^6)^(1/2))/((-1+x^2)*(1+x^2)*(-1+x^4+x^6)),
((-3+x^3)*(36+48*x^3+x^4+16*x^6)*(3+x^2+2*x^3)^(1/2))/(x^6*(9+2*x^2+6*x^3)),
((-2+2*x^4+3*x^5)*(1-x^2+x^4+x^5)^(1/2))/((1+x^4+x^5)*(1+x^2+x^4+x^5)),
((2+7*x^5)*(-15+7*x^2+35*x^5)*(3+4*x^2-7*x^5)^(1/2))/(x^4*(-24+3*x^2+56*x^5)),
((-1-x^2+x^3+x^6)*(2+x^3+4*x^6)*(1+x^2-x^3-x^6)^(1/2))/(-1+x^3+x^6)^3,
((-1+x^4)*(1+x^2+3*x^4+x^6+x^8)*(1+x^2+x^4)^(1/2))/((1+x^4)^3*(1-x^2+x^4)),
((-2-x^3+4*x^6)*(-1+x^3-x^6)^(1/2))/((1-x^3+x^6)*(1+x^2-x^3+x^6)),
((1+x^3)*(-2-x^2+4*x^3)*(-1+x^2+2*x^3)^(1/2))/(x^2*(-1+2*x^3)*(-2+x^2+4*x^3)),
((1+x^4)*(-49+2*x^2+49*x^4)*(196-389*x^4+196*x^8)^(1/2))/(x^3*(-1+x^4)*(-4+x^2+4*x^4)),
((-4-4*x^2+x^5)*(8+3*x^5)*(128-x^4-64*x^5+8*x^10)^(1/2))/(x^5*(-8-x^2+2*x^5)),
((2+x^3+4*x^6)*(1+x^2-x^3-x^6)^(1/2))/(1-2*x^3-x^4-x^6+2*x^9+x^12),
((4+x^6)*(-4+x^4+2*x^6)*(32-14*x^4-32*x^6-4*x^8+7*x^10+8*x^12)^(1/2))/(x^9*(-2+x^6)),
((1-x^2+2*x^4)*(1-x^2-x^4-x^6)^(1/2))/((-1+x^2)*(1+x^2)*(-1+x^4+x^6)),
((2-x^3+3*x^5)*(-1+x^2-x^3+x^5)^(1/2))/(1+2*x^3+x^4-2*x^5+x^6-2*x^8+x^10),
((-5+6*x^5)*(20-3*x^2+16*x^5)*(25-x^4+40*x^5+16*x^10)^(1/2))/(x^5*(30-7*x^2+24*x^5)),
((-6+x^4)*(18-2*x^2+3*x^4)*(144+6*x^2+47*x^4+x^6+4*x^8)^(1/2))/(x^5*(24-x^2+4*x^4)),
((8+x^5)*(96-16*x^4-96*x^5-x^8+8*x^9+24*x^10)*(12-2*x^4-12*x^5+x^9+3*x^10)^(-1/2))/x^9,
((14+9*x^7)*(-35+x^4+30*x^7)*(49-84*x^7-6*x^8+36*x^14)^(1/2))/(x^5*(196-336*x^7-7*x^8+144*x^14)),
((8+7*x^8)*(-56-5*x^4+49*x^8)*(320+56*x^4-565*x^8-49*x^12+245*x^16)^(1/2))/(x^9*(-8+x^4+7*x^8)),
((2+x^3+2*x^4)*(1+2*x^2-x^3-x^4)^(1/2))/((-1-2*x^2+x^3+x^4)*(-1-x^2+x^3+x^4)),
((-16+x^5)*(4+x^4+x^5)*(-4-15*x^4-x^5)^(1/2))/(x^3*(32+104*x^4+16*x^5+83*x^8+26*x^9+2*x^10)),
((12+x^5)*(36-18*x^4-24*x^5-7*x^8+6*x^9+4*x^10)*(-3+x^5)^(1/2))/(x^7*(9-6*x^5-6*x^8+x^10)),
((-8+5*x^8)*(56-4*x^4+35*x^8)*(-64-84*x^8-25*x^16)^(1/2))/(x^5*(8+5*x^8)*(16-5*x^4+10*x^8)),
((1+4*x^8)*(3-23*x^8+48*x^16)*(3-20*x^8+48*x^16)^(1/2))/(x^9*(-1+4*x^8)*(-2-x^4+8*x^8)),
((2-x^3+2*x^4)*(-2+x^2-2*x^3+2*x^4)^(1/2))/((-1-x^3+x^4)*(-2-x^2-2*x^3+2*x^4)),
((-4+3*x^3)^2*(8+3*x^3)*(-4+x^2+3*x^3)^(1/2))/(x^4*(16+4*x^2-24*x^3-x^4-3*x^5+9*x^6)),
((-1+3*x^4)*(3+8*x^2+17*x^4+24*x^6+27*x^8)*(-1+4*x^2-3*x^4)^(1/2))/(x^4*(4+21*x^4+36*x^8)),
((-2+3*x^4)*(6+2*x^2+9*x^4)*(16-14*x^2+49*x^4-21*x^6+36*x^8)^(1/2))/(x^5*(4-x^2+6*x^4)),
((4+3*x^4)*(64-28*x^2-101*x^4+21*x^6+36*x^8)*(-4+2*x^2+3*x^4)^(1/2))/(x^4*(48-68*x^4+27*x^8)),
((3+4*x^4)*(36+9*x^2-92*x^4-12*x^6+64*x^8)*(9-23*x^4+16*x^8)^(1/2))/(x^5*(36-95*x^4+64*x^8)),
((-1+2*x^4)*(32+7*x^2+64*x^4)*(8+35*x^4+32*x^8)^(1/2))/(x^3*(20-x^2+79*x^4-2*x^6+80*x^8)),
((-2+5*x^4)*(16+6*x^2+84*x^4+15*x^6+100*x^8)*(4+22*x^4+25*x^8)^(1/2))/(x^5*(8+37*x^4+50*x^8)),
((2+5*x^4)*(28+12*x^2-134*x^4-30*x^6+175*x^8)*(4-21*x^4+25*x^8)^(1/2))/(x^5*(12-61*x^4+75*x^8)),
((-32+7*x^5)*(192+336*x^5-4*x^8+147*x^10)*(-64-112*x^5-7*x^8-49*x^10)^(1/2))/(x^13*(32+3*x^4+28*x^5)),
((-5+7*x^8)*(50-5*x^4+144*x^8-7*x^12+98*x^16)*(25+67*x^8+49*x^16)^(1/2))/(x^9*(150+415*x^8+294*x^16)),
((1+x^4)*(18-21*x^2-38*x^4+21*x^6+18*x^8)*(9+18*x^2-22*x^4-18*x^6+9*x^8)^(1/2))/(x^7*(-1+x^4)),
((-1+x^7)*(18+39*x^4+48*x^7+17*x^8+52*x^11+32*x^14)*(3-2*x^4+4*x^7)^(1/2))/(x^7*(3+x^4+4*x^7)^2),
((1+x^3)*(-3-4*x^2+6*x^3)*(-3+5*x^2+6*x^3)^(1/2))/(x^2*(-1-x^2+2*x^3)*(-6-5*x^2+12*x^3)),
((1+x^4)*(14+x^2-29*x^4-x^6+14*x^8)*(-1+x^2+x^4)^(1/2))/(x^4*(96-4*x^2-197*x^4+4*x^6+96*x^8)),
((-6+x^3)*(252+30*x^2+168*x^3-3*x^4+10*x^5+28*x^6)*(-30+3*x^2-10*x^3)^(1/2))/(x^4*(6-x^2+2*x^3)^2),
((1+9*x^5)*(6+26*x^2+33*x^4-72*x^5-156*x^7+216*x^10)*(-1+x^2+6*x^5)^(1/2))/(x^6*(-7-11*x^2+42*x^5)),
((-7-3*x^2+8*x^6)*(7+16*x^6)*(7-6*x^2-8*x^6)^(1/2))/(x^2*(98-21*x^2+x^4-224*x^6+24*x^8+128*x^12)),
((-1-7*x^2+8*x^6)*(1+16*x^6)*(-1-4*x^2+8*x^6)^(1/2))/(x^2*(5-8*x^2+x^4-80*x^6+64*x^8+320*x^12)),
((-1+4*x^6)*(14-3*x^2+28*x^6)*(1-2*x^2+2*x^6)^(1/2))/(x^2*(128-32*x^2+x^4+512*x^6-64*x^8+512*x^12)),
((-1+x^8)*(9-9*x^4+11*x^8-9*x^12+9*x^16)*(21+43*x^8+21*x^16)^(1/2))/(x^9*(1+x^8)*(3+x^4+3*x^8)),
((1+2*x^6)*(1+x^2-x^4-2*x^6-x^8+x^12)*(1-x^6)^(1/2))/((-1+x^6)*(-1+2*x^6-3*x^12+x^18)),
((-7+12*x^5)*(98+21*x^2+2*x^4+224*x^5+24*x^7+128*x^10)*(7-3*x^2+8*x^5)^(1/2))/(x^4*(7+2*x^2+8*x^5)^2),
((1+3*x^5)*(-2+3*x^2+4*x^5)*(-1-x^2+2*x^5)^(1/2))/(x^2*(32-36*x^2+9*x^4-128*x^5+72*x^7+128*x^10)),
((-10+3*x^5)*(100-10*x^4+240*x^5+5*x^8-12*x^9+144*x^10)*(5+6*x^5)^(1/2))/(x^7*(25+60*x^5-8*x^8+36*x^10)),
((6+5*x^6)*(-12-7*x^4+20*x^6)*(3+9*x^4-5*x^6)^(1/2))/(x^3*(27+18*x^4-90*x^6+7*x^8-30*x^10+75*x^12)),
((4+3*x^7)*(-6-5*x^4+6*x^7)*(6-13*x^4-12*x^7+3*x^8+13*x^11+6*x^14)^(1/2))/(x^9*(-6+5*x^4+6*x^7)),
((-12+x^3)*(108-12*x^2+36*x^3+4*x^4-2*x^5+3*x^6)*(180+60*x^3-8*x^4+5*x^6)^(1/2))/(x^7*(30+x^2+5*x^3)),
((-4+x^4)*(48+76*x^2+56*x^4+19*x^6+3*x^8)*(4+7*x^2+x^4)^(1/2))/(x^4*(32+80*x^2+55*x^4+20*x^6+2*x^8)),
((12+5*x^5)*(18+72*x^4-60*x^5+59*x^8-120*x^9+50*x^10)*(-9-24*x^4+30*x^5-17*x^8+40*x^9-25*x^10)^(-1/2))/x^9,
((-2+x^7)*(-4+x^4+2*x^7)*(8+3*x^7)*(-6+x^4+3*x^7)^(1/2))/(x^7*(36+30*x^4-36*x^7-5*x^8-15*x^11+9*x^14)),
((-1+x^4)*(1+x^2+3*x^4+x^6+x^8)*(-1-x^2-x^4)^(1/2))/((1+x^2+x^4)^2*(1+3*x^2+5*x^4+3*x^6+x^8)),
((-7+6*x^4)*(245-21*x^2+415*x^4-18*x^6+180*x^8)*(49+85*x^4+36*x^8)^(1/2))/(x^5*(196-49*x^2+334*x^4-42*x^6+144*x^8)),
((7+8*x^4)*(343+56*x^2-786*x^4-64*x^6+448*x^8)*(49-113*x^4+64*x^8)^(1/2))/(x^5*(294-7*x^2-675*x^4+8*x^6+384*x^8)),
((3+4*x^8)*(36+3*x^4-97*x^8-4*x^12+64*x^16)*(63-170*x^8+112*x^16)^(1/2))/(x^9*(36+3*x^4-99*x^8-4*x^12+64*x^16)),
((-2+3*x^5)*(2+x^2-4*x^4+4*x^5+x^7+2*x^10)*(1-x^2+x^5)^(1/2))/(x^4*(12-12*x^2+x^4+24*x^5-12*x^7+12*x^10)),
((2+x^3)*(112+4*x^2-224*x^3+3*x^4-4*x^5+112*x^6)*(-2+x^2+2*x^3)^(1/2))/(x^4*(16+8*x^2-32*x^3-x^4-8*x^5+16*x^6)),
((1+4*x^6)*(72-18*x^2+x^4-288*x^6+36*x^8+288*x^12)*(3-8*x^2-6*x^6)^(1/2))/(x^4*(72+6*x^2-5*x^4-288*x^6-12*x^8+288*x^12)),
((-2+x^8)*(64+20*x^4+61*x^8+10*x^12+16*x^16)*(28+6*x^4+30*x^8+3*x^12+7*x^16)^(1/2))/(x^9*(32+4*x^4+31*x^8+2*x^12+8*x^16)),
((-14+3*x^3)*(49+140*x^2+42*x^3+92*x^4+60*x^5+9*x^6)*(-7-6*x^2-3*x^3)^(1/2))/(x^4*(98+175*x^2+84*x^3+76*x^4+75*x^5+18*x^6)),
((20+21*x^7)*(150+40*x^4-420*x^7-x^8-56*x^11+294*x^14)*(25-70*x^7+7*x^8+49*x^14)^(1/2))/(x^9*(25-5*x^4-70*x^7-2*x^8+7*x^11+49*x^14)),
((-2-x^3+4*x^6)*(1+x^2-2*x^3-x^4-x^5+3*x^6+x^8-2*x^9+x^12)*(1-x^2-x^3+x^6)^(1/2))/((1-x^3+x^6)^2*(1-2*x^3-x^4+3*x^6-2*x^9+x^12))};