3.27.80 \(\int \frac {12 x-12 x^2-12 x^3+24 x^4-12 x^5+(-12+12 x+24 x^2-48 x^3+24 x^4) \log (2)+(-12 x+24 x^2-12 x^3) \log ^2(2)+(-16+44 x-40 x^2+44 x^3-40 x^4+12 x^5+(-16+44 x-88 x^2+80 x^3-24 x^4) \log (2)+(-16+44 x-40 x^2+12 x^3) \log ^2(2)) \log (\frac {1}{2} (4-3 x))}{(-4 x^2+11 x^3-10 x^4+3 x^5+(8 x-22 x^2+20 x^3-6 x^4) \log (2)+(-4+11 x-10 x^2+3 x^3) \log ^2(2)) \log ^2(\frac {1}{2} (4-3 x))} \, dx\)

Optimal. Leaf size=34 \[ \frac {4 \left (x-\frac {x}{\left (-x+x^2\right ) (-x+\log (2))}\right )}{\log \left (2-\frac {3 x}{2}\right )} \]

________________________________________________________________________________________

Rubi [F]  time = 6.24, antiderivative size = 0, normalized size of antiderivative = 0.00, number of steps used = 0, number of rules used = 0, integrand size = 0, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.000, Rules used = {} \begin {gather*} \int \frac {12 x-12 x^2-12 x^3+24 x^4-12 x^5+\left (-12+12 x+24 x^2-48 x^3+24 x^4\right ) \log (2)+\left (-12 x+24 x^2-12 x^3\right ) \log ^2(2)+\left (-16+44 x-40 x^2+44 x^3-40 x^4+12 x^5+\left (-16+44 x-88 x^2+80 x^3-24 x^4\right ) \log (2)+\left (-16+44 x-40 x^2+12 x^3\right ) \log ^2(2)\right ) \log \left (\frac {1}{2} (4-3 x)\right )}{\left (-4 x^2+11 x^3-10 x^4+3 x^5+\left (8 x-22 x^2+20 x^3-6 x^4\right ) \log (2)+\left (-4+11 x-10 x^2+3 x^3\right ) \log ^2(2)\right ) \log ^2\left (\frac {1}{2} (4-3 x)\right )} \, dx \end {gather*}

Verification is not applicable to the result.

[In]

Int[(12*x - 12*x^2 - 12*x^3 + 24*x^4 - 12*x^5 + (-12 + 12*x + 24*x^2 - 48*x^3 + 24*x^4)*Log[2] + (-12*x + 24*x
^2 - 12*x^3)*Log[2]^2 + (-16 + 44*x - 40*x^2 + 44*x^3 - 40*x^4 + 12*x^5 + (-16 + 44*x - 88*x^2 + 80*x^3 - 24*x
^4)*Log[2] + (-16 + 44*x - 40*x^2 + 12*x^3)*Log[2]^2)*Log[(4 - 3*x)/2])/((-4*x^2 + 11*x^3 - 10*x^4 + 3*x^5 + (
8*x - 22*x^2 + 20*x^3 - 6*x^4)*Log[2] + (-4 + 11*x - 10*x^2 + 3*x^3)*Log[2]^2)*Log[(4 - 3*x)/2]^2),x]

[Out]

(-4*(4 - 3*x))/(3*Log[2 - (3*x)/2]) + (4*(43 - 108*Log[2]^2 - Log[4096] + Log[16]*Log[134217728]))/(3*(4 - Log
[8])*Log[2 - (3*x)/2]) + (4*(3 - 12*Log[2]^2 + Log[8]*Log[16])*Defer[Int][1/((-1 + x)*Log[2 - (3*x)/2]^2), x])
/(1 - Log[2]) - (12*(1 - 8*Log[2]^2 + Log[4]*Log[16])*Defer[Int][1/((x - Log[2])*Log[2 - (3*x)/2]^2), x])/((1
- Log[2])*(4 - Log[8])) - (4*Defer[Int][1/((-1 + x)^2*Log[2 - (3*x)/2]), x])/(1 - Log[2]) + (4*Defer[Int][1/((
x - Log[2])^2*Log[2 - (3*x)/2]), x])/(1 - Log[2])

Rubi steps

\begin {gather*} \begin {aligned} \text {integral} &=\int \frac {4 \left (3 x^5+\log (8)-x \left (3-3 \log ^2(2)+\log (8)\right )+3 x^3 \left (1+\log ^2(2)+\log (16)\right )-x^4 (6+\log (64))-x^2 \left (-3+6 \log ^2(2)+\log (64)\right )-(-4+3 x) \left (1+x^4+\log (2)+\log ^2(2)-2 x^3 (1+\log (2))-2 x \left (1+\log (2)+\log ^2(2)\right )+x^2 \left (1+\log ^2(2)+\log (16)\right )\right ) \log \left (2-\frac {3 x}{2}\right )\right )}{(4-3 x) (1-x)^2 (x-\log (2))^2 \log ^2\left (2-\frac {3 x}{2}\right )} \, dx\\ &=4 \int \frac {3 x^5+\log (8)-x \left (3-3 \log ^2(2)+\log (8)\right )+3 x^3 \left (1+\log ^2(2)+\log (16)\right )-x^4 (6+\log (64))-x^2 \left (-3+6 \log ^2(2)+\log (64)\right )-(-4+3 x) \left (1+x^4+\log (2)+\log ^2(2)-2 x^3 (1+\log (2))-2 x \left (1+\log (2)+\log ^2(2)\right )+x^2 \left (1+\log ^2(2)+\log (16)\right )\right ) \log \left (2-\frac {3 x}{2}\right )}{(4-3 x) (1-x)^2 (x-\log (2))^2 \log ^2\left (2-\frac {3 x}{2}\right )} \, dx\\ &=4 \int \left (\frac {3 x^5-6 x^4 (1+\log (2))-3 x (1-(-1+\log (2)) \log (2))+3 x^2 \left (1-2 \log ^2(2)-\log (4)\right )+\log (8)+3 x^3 \left (1+\log ^2(2)+\log (16)\right )}{(4-3 x) (1-x)^2 (x-\log (2))^2 \log ^2\left (2-\frac {3 x}{2}\right )}+\frac {1+x^4+\log (2)+\log ^2(2)-2 x^3 (1+\log (2))-2 x \left (1+\log (2)+\log ^2(2)\right )+x^2 \left (1+\log ^2(2)+\log (16)\right )}{(1-x)^2 (x-\log (2))^2 \log \left (2-\frac {3 x}{2}\right )}\right ) \, dx\\ &=4 \int \frac {3 x^5-6 x^4 (1+\log (2))-3 x (1-(-1+\log (2)) \log (2))+3 x^2 \left (1-2 \log ^2(2)-\log (4)\right )+\log (8)+3 x^3 \left (1+\log ^2(2)+\log (16)\right )}{(4-3 x) (1-x)^2 (x-\log (2))^2 \log ^2\left (2-\frac {3 x}{2}\right )} \, dx+4 \int \frac {1+x^4+\log (2)+\log ^2(2)-2 x^3 (1+\log (2))-2 x \left (1+\log (2)+\log ^2(2)\right )+x^2 \left (1+\log ^2(2)+\log (16)\right )}{(1-x)^2 (x-\log (2))^2 \log \left (2-\frac {3 x}{2}\right )} \, dx\\ &=4 \int \left (\frac {1}{\log \left (2-\frac {3 x}{2}\right )}+\frac {1}{(-1+x)^2 (-1+\log (2)) \log \left (2-\frac {3 x}{2}\right )}+\frac {1-\log (2)-4 \log ^3(2)+\log ^2(2) \log (16)}{(x-\log (2))^2 (-1+\log (2))^2 \log \left (2-\frac {3 x}{2}\right )}\right ) \, dx+4 \int \frac {-3 x^4+9 \log (2)+x^3 (3+6 \log (2))+3 \log (4)+x^2 \left (6 \log (2)-3 \log ^2(2)-3 \log (16)\right )+x \left (-3+6 \log (2)+3 \log ^2(2)+3 \log (4)-3 \log (16)\right )-3 \log (16)}{(4-3 x) (1-x) (x-\log (2))^2 \log ^2\left (2-\frac {3 x}{2}\right )} \, dx\\ &=4 \int \frac {-3-3 x^3+6 \log (2)+12 \log ^2(2)+x^2 (3+3 \log (2))+3 \log (4)+x (9 \log (2)-3 \log (16))-3 \log (16)-3 \log (2) \log (16)}{(4-3 x) (1-x) (x-\log (2)) \log ^2\left (2-\frac {3 x}{2}\right )} \, dx+4 \int \frac {1}{\log \left (2-\frac {3 x}{2}\right )} \, dx-\frac {4 \int \frac {1}{(-1+x)^2 \log \left (2-\frac {3 x}{2}\right )} \, dx}{1-\log (2)}+\frac {4 \int \frac {1}{(x-\log (2))^2 \log \left (2-\frac {3 x}{2}\right )} \, dx}{1-\log (2)}\\ &=-\left (\frac {8}{3} \operatorname {Subst}\left (\int \frac {1}{\log (x)} \, dx,x,2-\frac {3 x}{2}\right )\right )+4 \int \left (-\frac {1}{\log ^2\left (2-\frac {3 x}{2}\right )}+\frac {3 \left (-1+8 \log ^2(2)-\log (4) \log (16)\right )}{(x-\log (2)) (-1+\log (2)) (-4+\log (8)) \log ^2\left (2-\frac {3 x}{2}\right )}+\frac {-3+12 \log ^2(2)-\log (8) \log (16)}{(-1+x) (-1+\log (2)) \log ^2\left (2-\frac {3 x}{2}\right )}+\frac {43-108 \log ^2(2)-\log (4096)+\log (16) \log (134217728)}{(-4+3 x) (-4+\log (8)) \log ^2\left (2-\frac {3 x}{2}\right )}\right ) \, dx-\frac {4 \int \frac {1}{(-1+x)^2 \log \left (2-\frac {3 x}{2}\right )} \, dx}{1-\log (2)}+\frac {4 \int \frac {1}{(x-\log (2))^2 \log \left (2-\frac {3 x}{2}\right )} \, dx}{1-\log (2)}\\ &=-\frac {8}{3} \text {li}\left (2-\frac {3 x}{2}\right )-4 \int \frac {1}{\log ^2\left (2-\frac {3 x}{2}\right )} \, dx-\frac {4 \int \frac {1}{(-1+x)^2 \log \left (2-\frac {3 x}{2}\right )} \, dx}{1-\log (2)}+\frac {4 \int \frac {1}{(x-\log (2))^2 \log \left (2-\frac {3 x}{2}\right )} \, dx}{1-\log (2)}-\frac {\left (12 \left (1-8 \log ^2(2)+\log (4) \log (16)\right )\right ) \int \frac {1}{(x-\log (2)) \log ^2\left (2-\frac {3 x}{2}\right )} \, dx}{(1-\log (2)) (4-\log (8))}+\frac {\left (4 \left (3-12 \log ^2(2)+\log (8) \log (16)\right )\right ) \int \frac {1}{(-1+x) \log ^2\left (2-\frac {3 x}{2}\right )} \, dx}{1-\log (2)}-\frac {\left (4 \left (43-108 \log ^2(2)-\log (4096)+\log (16) \log (134217728)\right )\right ) \int \frac {1}{(-4+3 x) \log ^2\left (2-\frac {3 x}{2}\right )} \, dx}{4-\log (8)}\\ &=-\frac {8}{3} \text {li}\left (2-\frac {3 x}{2}\right )+\frac {8}{3} \operatorname {Subst}\left (\int \frac {1}{\log ^2(x)} \, dx,x,2-\frac {3 x}{2}\right )-\frac {4 \int \frac {1}{(-1+x)^2 \log \left (2-\frac {3 x}{2}\right )} \, dx}{1-\log (2)}+\frac {4 \int \frac {1}{(x-\log (2))^2 \log \left (2-\frac {3 x}{2}\right )} \, dx}{1-\log (2)}-\frac {\left (12 \left (1-8 \log ^2(2)+\log (4) \log (16)\right )\right ) \int \frac {1}{(x-\log (2)) \log ^2\left (2-\frac {3 x}{2}\right )} \, dx}{(1-\log (2)) (4-\log (8))}+\frac {\left (4 \left (3-12 \log ^2(2)+\log (8) \log (16)\right )\right ) \int \frac {1}{(-1+x) \log ^2\left (2-\frac {3 x}{2}\right )} \, dx}{1-\log (2)}+\frac {\left (8 \left (43-108 \log ^2(2)-\log (4096)+\log (16) \log (134217728)\right )\right ) \operatorname {Subst}\left (\int -\frac {1}{2 x \log ^2(x)} \, dx,x,2-\frac {3 x}{2}\right )}{3 (4-\log (8))}\\ &=-\frac {4 (4-3 x)}{3 \log \left (2-\frac {3 x}{2}\right )}-\frac {8}{3} \text {li}\left (2-\frac {3 x}{2}\right )+\frac {8}{3} \operatorname {Subst}\left (\int \frac {1}{\log (x)} \, dx,x,2-\frac {3 x}{2}\right )-\frac {4 \int \frac {1}{(-1+x)^2 \log \left (2-\frac {3 x}{2}\right )} \, dx}{1-\log (2)}+\frac {4 \int \frac {1}{(x-\log (2))^2 \log \left (2-\frac {3 x}{2}\right )} \, dx}{1-\log (2)}-\frac {\left (12 \left (1-8 \log ^2(2)+\log (4) \log (16)\right )\right ) \int \frac {1}{(x-\log (2)) \log ^2\left (2-\frac {3 x}{2}\right )} \, dx}{(1-\log (2)) (4-\log (8))}+\frac {\left (4 \left (3-12 \log ^2(2)+\log (8) \log (16)\right )\right ) \int \frac {1}{(-1+x) \log ^2\left (2-\frac {3 x}{2}\right )} \, dx}{1-\log (2)}-\frac {\left (4 \left (43-108 \log ^2(2)-\log (4096)+\log (16) \log (134217728)\right )\right ) \operatorname {Subst}\left (\int \frac {1}{x \log ^2(x)} \, dx,x,2-\frac {3 x}{2}\right )}{3 (4-\log (8))}\\ &=-\frac {4 (4-3 x)}{3 \log \left (2-\frac {3 x}{2}\right )}-\frac {4 \int \frac {1}{(-1+x)^2 \log \left (2-\frac {3 x}{2}\right )} \, dx}{1-\log (2)}+\frac {4 \int \frac {1}{(x-\log (2))^2 \log \left (2-\frac {3 x}{2}\right )} \, dx}{1-\log (2)}-\frac {\left (12 \left (1-8 \log ^2(2)+\log (4) \log (16)\right )\right ) \int \frac {1}{(x-\log (2)) \log ^2\left (2-\frac {3 x}{2}\right )} \, dx}{(1-\log (2)) (4-\log (8))}+\frac {\left (4 \left (3-12 \log ^2(2)+\log (8) \log (16)\right )\right ) \int \frac {1}{(-1+x) \log ^2\left (2-\frac {3 x}{2}\right )} \, dx}{1-\log (2)}-\frac {\left (4 \left (43-108 \log ^2(2)-\log (4096)+\log (16) \log (134217728)\right )\right ) \operatorname {Subst}\left (\int \frac {1}{x^2} \, dx,x,\log \left (2-\frac {3 x}{2}\right )\right )}{3 (4-\log (8))}\\ &=-\frac {4 (4-3 x)}{3 \log \left (2-\frac {3 x}{2}\right )}+\frac {4 \left (43-108 \log ^2(2)-\log (4096)+\log (16) \log (134217728)\right )}{3 (4-\log (8)) \log \left (2-\frac {3 x}{2}\right )}-\frac {4 \int \frac {1}{(-1+x)^2 \log \left (2-\frac {3 x}{2}\right )} \, dx}{1-\log (2)}+\frac {4 \int \frac {1}{(x-\log (2))^2 \log \left (2-\frac {3 x}{2}\right )} \, dx}{1-\log (2)}-\frac {\left (12 \left (1-8 \log ^2(2)+\log (4) \log (16)\right )\right ) \int \frac {1}{(x-\log (2)) \log ^2\left (2-\frac {3 x}{2}\right )} \, dx}{(1-\log (2)) (4-\log (8))}+\frac {\left (4 \left (3-12 \log ^2(2)+\log (8) \log (16)\right )\right ) \int \frac {1}{(-1+x) \log ^2\left (2-\frac {3 x}{2}\right )} \, dx}{1-\log (2)}\\ \end {aligned} \end {gather*}

________________________________________________________________________________________

Mathematica [B]  time = 0.15, size = 86, normalized size = 2.53 \begin {gather*} \frac {4 \left (3 x^5+x \left (-3+3 \log ^2(2)-\log (8)\right )+\log (8)+3 x^3 \left (1+\log ^2(2)+\log (16)\right )-x^4 (6+\log (64))-x^2 \left (-3+6 \log ^2(2)+\log (64)\right )\right )}{3 (-1+x)^2 (x-\log (2))^2 \log \left (2-\frac {3 x}{2}\right )} \end {gather*}

Antiderivative was successfully verified.

[In]

Integrate[(12*x - 12*x^2 - 12*x^3 + 24*x^4 - 12*x^5 + (-12 + 12*x + 24*x^2 - 48*x^3 + 24*x^4)*Log[2] + (-12*x
+ 24*x^2 - 12*x^3)*Log[2]^2 + (-16 + 44*x - 40*x^2 + 44*x^3 - 40*x^4 + 12*x^5 + (-16 + 44*x - 88*x^2 + 80*x^3
- 24*x^4)*Log[2] + (-16 + 44*x - 40*x^2 + 12*x^3)*Log[2]^2)*Log[(4 - 3*x)/2])/((-4*x^2 + 11*x^3 - 10*x^4 + 3*x
^5 + (8*x - 22*x^2 + 20*x^3 - 6*x^4)*Log[2] + (-4 + 11*x - 10*x^2 + 3*x^3)*Log[2]^2)*Log[(4 - 3*x)/2]^2),x]

[Out]

(4*(3*x^5 + x*(-3 + 3*Log[2]^2 - Log[8]) + Log[8] + 3*x^3*(1 + Log[2]^2 + Log[16]) - x^4*(6 + Log[64]) - x^2*(
-3 + 6*Log[2]^2 + Log[64])))/(3*(-1 + x)^2*(x - Log[2])^2*Log[2 - (3*x)/2])

________________________________________________________________________________________

fricas [A]  time = 0.47, size = 47, normalized size = 1.38 \begin {gather*} \frac {4 \, {\left (x^{3} - x^{2} - {\left (x^{2} - x\right )} \log \relax (2) + 1\right )}}{{\left (x^{2} - {\left (x - 1\right )} \log \relax (2) - x\right )} \log \left (-\frac {3}{2} \, x + 2\right )} \end {gather*}

Verification of antiderivative is not currently implemented for this CAS.

[In]

integrate((((12*x^3-40*x^2+44*x-16)*log(2)^2+(-24*x^4+80*x^3-88*x^2+44*x-16)*log(2)+12*x^5-40*x^4+44*x^3-40*x^
2+44*x-16)*log(2-3/2*x)+(-12*x^3+24*x^2-12*x)*log(2)^2+(24*x^4-48*x^3+24*x^2+12*x-12)*log(2)-12*x^5+24*x^4-12*
x^3-12*x^2+12*x)/((3*x^3-10*x^2+11*x-4)*log(2)^2+(-6*x^4+20*x^3-22*x^2+8*x)*log(2)+3*x^5-10*x^4+11*x^3-4*x^2)/
log(2-3/2*x)^2,x, algorithm="fricas")

[Out]

4*(x^3 - x^2 - (x^2 - x)*log(2) + 1)/((x^2 - (x - 1)*log(2) - x)*log(-3/2*x + 2))

________________________________________________________________________________________

giac [B]  time = 1.46, size = 87, normalized size = 2.56 \begin {gather*} -\frac {4 \, {\left (x^{3} - x^{2} \log \relax (2) - x^{2} + x \log \relax (2) + 1\right )}}{x^{2} \log \relax (2) - x \log \relax (2)^{2} - x^{2} \log \left (-3 \, x + 4\right ) + x \log \relax (2) \log \left (-3 \, x + 4\right ) - x \log \relax (2) + \log \relax (2)^{2} + x \log \left (-3 \, x + 4\right ) - \log \relax (2) \log \left (-3 \, x + 4\right )} \end {gather*}

Verification of antiderivative is not currently implemented for this CAS.

[In]

integrate((((12*x^3-40*x^2+44*x-16)*log(2)^2+(-24*x^4+80*x^3-88*x^2+44*x-16)*log(2)+12*x^5-40*x^4+44*x^3-40*x^
2+44*x-16)*log(2-3/2*x)+(-12*x^3+24*x^2-12*x)*log(2)^2+(24*x^4-48*x^3+24*x^2+12*x-12)*log(2)-12*x^5+24*x^4-12*
x^3-12*x^2+12*x)/((3*x^3-10*x^2+11*x-4)*log(2)^2+(-6*x^4+20*x^3-22*x^2+8*x)*log(2)+3*x^5-10*x^4+11*x^3-4*x^2)/
log(2-3/2*x)^2,x, algorithm="giac")

[Out]

-4*(x^3 - x^2*log(2) - x^2 + x*log(2) + 1)/(x^2*log(2) - x*log(2)^2 - x^2*log(-3*x + 4) + x*log(2)*log(-3*x +
4) - x*log(2) + log(2)^2 + x*log(-3*x + 4) - log(2)*log(-3*x + 4))

________________________________________________________________________________________

maple [A]  time = 0.35, size = 45, normalized size = 1.32

method	result	size
norman	\(\frac {-4+\left (4 \ln \relax (2)+4\right ) x^{2}-4 x^{3}-4 x \ln \relax (2)}{\left (x -1\right ) \left (\ln \relax (2)-x \right ) \ln \left (2-\frac {3 x}{2}\right )}\)	\(45\)
risch	\(\frac {4 x^{2} \ln \relax (2)-4 x^{3}-4 x \ln \relax (2)+4 x^{2}-4}{\left (x \ln \relax (2)-x^{2}-\ln \relax (2)+x \right ) \ln \left (2-\frac {3 x}{2}\right )}\)	\(49\)

Verification of antiderivative is not currently implemented for this CAS.

[In]

int((((12*x^3-40*x^2+44*x-16)*ln(2)^2+(-24*x^4+80*x^3-88*x^2+44*x-16)*ln(2)+12*x^5-40*x^4+44*x^3-40*x^2+44*x-1
6)*ln(2-3/2*x)+(-12*x^3+24*x^2-12*x)*ln(2)^2+(24*x^4-48*x^3+24*x^2+12*x-12)*ln(2)-12*x^5+24*x^4-12*x^3-12*x^2+
12*x)/((3*x^3-10*x^2+11*x-4)*ln(2)^2+(-6*x^4+20*x^3-22*x^2+8*x)*ln(2)+3*x^5-10*x^4+11*x^3-4*x^2)/ln(2-3/2*x)^2
,x,method=_RETURNVERBOSE)

[Out]

(-4+(4*ln(2)+4)*x^2-4*x^3-4*x*ln(2))/(x-1)/(ln(2)-x)/ln(2-3/2*x)

________________________________________________________________________________________

maxima [B]  time = 0.57, size = 64, normalized size = 1.88 \begin {gather*} -\frac {4 \, {\left (x^{3} - x^{2} {\left (\log \relax (2) + 1\right )} + x \log \relax (2) + 1\right )}}{x^{2} \log \relax (2) - {\left (\log \relax (2)^{2} + \log \relax (2)\right )} x + \log \relax (2)^{2} - {\left (x^{2} - x {\left (\log \relax (2) + 1\right )} + \log \relax (2)\right )} \log \left (-3 \, x + 4\right )} \end {gather*}

Verification of antiderivative is not currently implemented for this CAS.

[In]

integrate((((12*x^3-40*x^2+44*x-16)*log(2)^2+(-24*x^4+80*x^3-88*x^2+44*x-16)*log(2)+12*x^5-40*x^4+44*x^3-40*x^
2+44*x-16)*log(2-3/2*x)+(-12*x^3+24*x^2-12*x)*log(2)^2+(24*x^4-48*x^3+24*x^2+12*x-12)*log(2)-12*x^5+24*x^4-12*
x^3-12*x^2+12*x)/((3*x^3-10*x^2+11*x-4)*log(2)^2+(-6*x^4+20*x^3-22*x^2+8*x)*log(2)+3*x^5-10*x^4+11*x^3-4*x^2)/
log(2-3/2*x)^2,x, algorithm="maxima")

[Out]

-4*(x^3 - x^2*(log(2) + 1) + x*log(2) + 1)/(x^2*log(2) - (log(2)^2 + log(2))*x + log(2)^2 - (x^2 - x*(log(2) +
1) + log(2))*log(-3*x + 4))

________________________________________________________________________________________

mupad [B]  time = 5.24, size = 44688, normalized size = 1314.35 result too large to display

Verification of antiderivative is not currently implemented for this CAS.

[In]

int((12*x + log(2 - (3*x)/2)*(44*x - log(2)*(88*x^2 - 44*x - 80*x^3 + 24*x^4 + 16) + log(2)^2*(44*x - 40*x^2 +
12*x^3 - 16) - 40*x^2 + 44*x^3 - 40*x^4 + 12*x^5 - 16) + log(2)*(12*x + 24*x^2 - 48*x^3 + 24*x^4 - 12) - log(
2)^2*(12*x - 24*x^2 + 12*x^3) - 12*x^2 - 12*x^3 + 24*x^4 - 12*x^5)/(log(2 - (3*x)/2)^2*(log(2)*(8*x - 22*x^2 +
20*x^3 - 6*x^4) + log(2)^2*(11*x - 10*x^2 + 3*x^3 - 4) - 4*x^2 + 11*x^3 - 10*x^4 + 3*x^5)),x)

[Out]

4*x - ((4*(x*log(2) - x^2*log(2) - x^2 + x^3 + 1))/(x - log(2) + x*log(2) - x^2) + (4*log(2 - (3*x)/2)*(3*x -
4)*(log(2) - 2*x + x^2*log(2)^2 - 2*x*log(2) - 2*x*log(2)^2 + 4*x^2*log(2) - 2*x^3*log(2) + log(2)^2 + x^2 - 2
*x^3 + x^4 + 1))/(3*(x^2*log(2)^2 - 2*x*log(2) - 2*x*log(2)^2 + 4*x^2*log(2) - 2*x^3*log(2) + log(2)^2 + x^2 -
2*x^3 + x^4)))/log(2 - (3*x)/2) + symsum(log(4391387136*log(512) - 29829980160*log(2) - root(266783382*z^5*lo
g(2)^12*log(512)^3 - 211631616*z^5*log(2)^8*log(512)^4 - 178682274*z^5*log(2)^9*log(512)^4 - 125892468*z^5*log
(2)^6*log(512)^4 + 123294312*z^5*log(2)^6*log(512)^3 + 68221278*z^5*log(2)^7*log(512)^4 - 52278048*z^5*log(2)^
10*log(512)^4 + 38263752*z^5*log(2)^14*log(512)^2 + 29760696*z^5*log(2)^15*log(512)^2 - 29760696*z^5*log(2)^6*
log(512)^2 + 26985393*z^5*log(2)^11*log(512)^4 - 17006112*z^5*log(2)^13*log(512)^3 - 12837690*z^5*log(2)^6*log
(512)^5 + 6613488*z^5*log(2)^5*log(512)^4 - 5821794*z^5*log(2)^9*log(512)^5 - 4776408*z^5*log(2)^8*log(512)^5
- 3418281*z^5*log(2)^10*log(512)^5 - 34362443619*z^5*log(2)^9*log(512)^2 + 2230740*z^5*log(2)^5*log(512)^5 + 1
653372*z^5*log(2)^12*log(512)^4 - 1076004*z^5*log(2)^4*log(512)^5 + 944784*z^5*log(2)^14*log(512)^3 - 944784*z
^5*log(2)^5*log(512)^3 - 761076*z^5*log(2)^7*log(512)^5 + 373977*z^5*log(2)^5*log(512)^6 - 288684*z^5*log(2)^1
3*log(512)^4 + 288684*z^5*log(2)^4*log(512)^4 + 258066*z^5*log(2)^8*log(512)^6 + 238383*z^5*log(2)^7*log(512)^
6 + 104976*z^5*log(2)^9*log(512)^6 - 74358*z^5*log(2)^6*log(512)^6 - 61236*z^5*log(2)^4*log(512)^6 - 52488*z^5
*log(2)^11*log(512)^5 + 34992*z^5*log(2)^3*log(512)^6 + 13122*z^5*log(2)^5*log(512)^7 + 11664*z^5*log(2)^12*lo
g(512)^5 - 11664*z^5*log(2)^3*log(512)^5 + 4131*z^5*log(2)^6*log(512)^7 + 3888*z^5*log(2)^3*log(512)^7 + 243*z
^5*log(2)^4*log(512)^7 + 108*z^5*log(2)^3*log(512)^8 - 34096191678*z^5*log(2)^12*log(512)^2 + 361936830168*z^5
*log(2)^11*log(512) + 198474081624*z^5*log(2)^10*log(512) + 176807232054*z^5*log(2)^13*log(512) + 344373768*z^
5*log(2)^15*log(512) - 306110016*z^5*log(2)^16*log(512) + 306110016*z^5*log(2)^7*log(512) + 34566516963*z^5*lo
g(2)^14*log(512) + 2835060588*z^5*log(2)^11*log(512)^3 + 2725229448*z^5*log(2)^7*log(512)^3 + 330684910722*z^5
*log(2)^12*log(512) + 133100461332*z^5*log(2)^9*log(512) - 2142770112*z^5*log(2)^7*log(512)^2 - 70816639014*z^
5*log(2)^10*log(512)^2 + 2077048575*z^5*log(2)^8*log(512)^3 + 12225268764*z^5*log(2)^8*log(512) + 6306078906*z
^5*log(2)^9*log(512)^3 - 27454242060*z^5*log(2)^8*log(512)^2 + 5877206019*z^5*log(2)^10*log(512)^3 - 572999686
2*z^5*log(2)^13*log(512)^2 - 65607985773*z^5*log(2)^11*log(512)^2 - 708204653892*z^5*log(2)^12 - 72447631443*z
^5*log(2)^15 - 252598158828*z^5*log(2)^10 - 24794911296*z^5*log(2)^9 - 411182278992*z^5*log(2)^11 - 3466121974
92*z^5*log(2)^14 - 638468965872*z^5*log(2)^13 - 1549681956*z^5*log(2)^16 + 860934420*z^5*log(2)^17 - 860934420
*z^5*log(2)^8 - 774932832*z^4*log(2)^8*log(512)^3 + 613637208*z^4*log(2)^12*log(512)^2 + 571699296*z^4*log(2)^
9*log(512)^3 + 532018368*z^4*log(2)^7*log(512)^3 + 319336992*z^4*log(2)^6*log(512)^2 - 286094592*z^4*log(2)^6*
log(512)^3 - 4568975424*z^4*log(2)^11*log(512)^2 + 266639040*z^4*log(2)^10*log(512)^3 - 245433888*z^4*log(2)^1
2*log(512)^3 - 72223488*z^4*log(2)^11*log(512)^3 + 54330912*z^4*log(2)^7*log(512)^4 - 37663056*z^4*log(2)^6*lo
g(512)^4 - 29160000*z^4*log(2)^8*log(512)^4 - 13226976*z^4*log(2)^15*log(512)^2 + 9346752*z^4*log(2)^5*log(512
)^4 - 6284952*z^4*log(2)^12*log(512)^4 + 5942808*z^4*log(2)^10*log(512)^4 + 5808672*z^4*log(2)^13*log(512)^3 +
4129056*z^4*log(2)^14*log(512)^3 + 3720816*z^4*log(2)^11*log(512)^4 - 2006208*z^4*log(2)^6*log(512)^5 - 19673
28*z^4*log(2)^4*log(512)^4 + 1936224*z^4*log(2)^9*log(512)^4 - 1889568*z^4*log(2)^16*log(512)^2 + 1889568*z^4*
log(2)^5*log(512)^2 - 1609632*z^4*log(2)^5*log(512)^3 + 1527984*z^4*log(2)^7*log(512)^5 + 1259712*z^4*log(2)^5
*log(512)^5 - 664848*z^4*log(2)^8*log(512)^5 - 489888*z^4*log(2)^15*log(512)^3 + 489888*z^4*log(2)^4*log(512)^
3 - 361584*z^4*log(2)^9*log(512)^5 + 279936*z^4*log(2)^11*log(512)^5 - 256608*z^4*log(2)^4*log(512)^5 - 202176
*z^4*log(2)^13*log(512)^4 + 128304*z^4*log(2)^10*log(512)^5 + 93312*z^4*log(2)^3*log(512)^5 - 55728*z^4*log(2)
^6*log(512)^6 + 38880*z^4*log(2)^5*log(512)^6 + 31104*z^4*log(2)^14*log(512)^4 - 31104*z^4*log(2)^3*log(512)^4
- 17496*z^4*log(2)^4*log(512)^6 + 12960*z^4*log(2)^7*log(512)^6 + 11016*z^4*log(2)^8*log(512)^6 + 10368*z^4*l
og(2)^3*log(512)^6 - 576*z^4*log(2)^4*log(512)^7 + 288*z^4*log(2)^5*log(512)^7 + 288*z^4*log(2)^3*log(512)^7 +
4032338112*z^4*log(2)^7*log(512)^2 + 14166091296*z^4*log(2)^9*log(512) + 3883062240*z^4*log(2)^13*log(512)^2
- 3878810712*z^4*log(2)^8*log(512)^2 - 7275781584*z^4*log(2)^10*log(512)^2 - 175729824*z^4*log(2)^16*log(512)
+ 62355744*z^4*log(2)^17*log(512) - 62355744*z^4*log(2)^6*log(512) - 25571523744*z^4*log(2)^8*log(512) - 25313
597712*z^4*log(2)^14*log(512) - 7692431328*z^4*log(2)^15*log(512) + 6031501056*z^4*log(2)^9*log(512)^2 + 29020
930128*z^4*log(2)^12*log(512) - 24505807392*z^4*log(2)^10*log(512) - 2865529872*z^4*log(2)^13*log(512) - 26812
96992*z^4*log(2)^7*log(512) + 45618895440*z^4*log(2)^11*log(512) + 856919088*z^4*log(2)^14*log(512)^2 - 205093
71072*z^4*log(2)^10 + 20292543144*z^4*log(2)^16 + 6836457024*z^4*log(2)^8 + 41018742144*z^4*log(2)^11 - 658136
53440*z^4*log(2)^13 - 108669055680*z^4*log(2)^12 + 969348384*z^4*log(2)^17 + 5242134024*z^4*log(2)^14 + 604057
09824*z^4*log(2)^9 - 255091680*z^4*log(2)^18 + 255091680*z^4*log(2)^7 + 60227145648*z^4*log(2)^15 + 1475452481
616*z^3*log(2)^8*log(512) + 22117316976*z^3*log(2)^6*log(512)^3 - 621084672*z^3*log(2)^4*log(512)^4 - 60389582
4*z^3*log(2)^5*log(512)^4 - 309305952*z^3*log(2)^7*log(512)^4 - 465747334128*z^3*log(2)^12*log(512) - 47863040
8752*z^3*log(2)^11*log(512) - 66301161984*z^3*log(2)^4*log(512) + 267618816*z^3*log(2)^2*log(512)^3 - 11191890
2688*z^3*log(2)^6*log(512)^2 - 197424864*z^3*log(2)^14*log(512)^2 - 49007520720*z^3*log(2)^14*log(512) + 13549
2912*z^3*log(2)^6*log(512)^4 - 70267824*z^3*log(2)^8*log(512)^4 + 67524192*z^3*log(2)^12*log(512)^3 - 58032288
*z^3*log(2)^10*log(512)^4 - 39474864*z^3*log(2)^11*log(512)^4 - 38584512*z^3*log(2)^2*log(512)^4 + 29799054230
4*z^3*log(2)^7*log(512) - 33277392*z^3*log(2)^15*log(512)^2 - 28405728*z^3*log(2)^9*log(512)^4 + 27031968*z^3*
log(2)^13*log(512)^3 - 23228208*z^3*log(2)^5*log(512)^5 + 19455552*z^3*log(2)^2*log(512)^5 - 18719424*z^3*log(
2)^3*log(512)^5 - 16097616*z^3*log(2)^4*log(512)^5 + 5266944*z^3*log(2)^6*log(512)^5 - 5159376*z^3*log(2)^14*l
og(512)^3 + 4191264*z^3*log(2)^9*log(512)^5 + 3387744*z^3*log(2)^8*log(512)^5 + 1819584*z^3*log(2)^16*log(512)
^2 + 1678320*z^3*log(2)^10*log(512)^5 + 1363392*z^3*log(2)^2*log(512)^6 - 1127520*z^3*log(2)^12*log(512)^4 - 6
62256*z^3*log(2)^7*log(512)^5 + 653520*z^3*log(2)^3*log(512)^6 + 575808*z^3*log(2)^4*log(512)^6 + 373248*z^3*l
og(2)^13*log(512)^4 + 346848*z^3*log(2)^6*log(512)^6 + 247824*z^3*log(2)^5*log(512)^6 - 176256*z^3*log(2)^15*l
og(512)^3 - 139968*z^3*log(2)^17*log(512)^2 + 104448*z^3*log(2)^7*log(512)^6 + 20736*z^3*log(2)^16*log(512)^3
+ 15120*z^3*log(2)^2*log(512)^7 + 7200*z^3*log(2)^3*log(512)^7 + 3600*z^3*log(2)^4*log(512)^7 - 1451188224*z^3
*log(2)^3*log(512) - 4109201280*z^3*log(2)^3*log(512)^3 + 59897625984*z^3*log(2)^10*log(512)^2 - 679901838336*
z^3*log(2)^5*log(512) + 12253218624*z^3*log(2)^9*log(512)^2 + 3509987904*z^3*log(2)^7*log(512)^3 + 764330256*z
^3*log(2)^16*log(512) + 33394965120*z^3*log(2)^12*log(512)^2 - 3213669168*z^3*log(2)^10*log(512)^3 + 117947780
64*z^3*log(2)^4*log(512)^3 - 269372440080*z^3*log(2)^7*log(512)^2 - 322397777232*z^3*log(2)^6*log(512) + 27272
7648*z^3*log(2)^15*log(512) - 72907776*z^3*log(2)*log(512)^4 + 17915904*z^3*log(2)*log(512)^3 + 10077696*z^3*l
og(2)^17*log(512) - 2519424*z^3*log(2)^18*log(512) + 746496*z^3*log(2)*log(512)^5 + 497664*z^3*log(2)*log(512)
^6 + 11520*z^3*log(2)*log(512)^7 + 2623933440*z^3*log(2)^8*log(512)^3 + 6439647744*z^3*log(2)^3*log(512)^2 - 2
040274656*z^3*log(2)^9*log(512)^3 + 14879943648*z^3*log(2)^5*log(512)^3 + 91606396608*z^3*log(2)^4*log(512)^2
- 1324890432*z^3*log(2)^11*log(512)^3 + 65631100176*z^3*log(2)^11*log(512)^2 - 56902520736*z^3*log(2)^8*log(51
2)^2 - 1025358912*z^3*log(2)^3*log(512)^4 - 247433260896*z^3*log(2)^13*log(512) - 230214572496*z^3*log(2)^10*l
og(512) - 22368321072*z^3*log(2)^5*log(512)^2 + 307432398672*z^3*log(2)^9*log(512) + 5147253216*z^3*log(2)^13*
log(512)^2 - 63325092384*z^3*log(2)^8 - 574380488016*z^3*log(2)^10 - 2871198576*z^3*log(2)^17 + 621012191904*z
^3*log(2)^14 + 1149190852752*z^3*log(2)^13 - 3090345948720*z^3*log(2)^9 + 6530347008*z^3*log(2)^4 + 1385010828
720*z^3*log(2)^7 + 134806505040*z^3*log(2)^15 + 182033422848*z^3*log(2)^5 + 735999018192*z^3*log(2)^11 + 12282
19200*z^3*log(2)^16 + 1727359924608*z^3*log(2)^6 + 1259129698128*z^3*log(2)^12 - 109594944*z^3*log(2)^18 + 188
95680*z^3*log(2)^19 + 2985984*z^3*log(512)^5 - 995328*z^3*log(512)^4 + 331776*z^3*log(512)^6 + 9216*z^3*log(51
2)^7 + 1357982413056*z^2*log(2)^4*log(512)^2 - 10893864960*z^2*log(2)*log(512)^3 - 26468881920*z^2*log(2)^6*lo
g(512)^3 - 4982881536*z^2*log(2)^9*log(512)^3 - 517185216*z^2*log(2)^7*log(512)^4 - 506853504*z^2*log(2)^6*log
(512)^4 - 8020766022912*z^2*log(2)^6*log(512) - 326453760*z^2*log(2)^8*log(512)^4 + 38873592576*z^2*log(2)^11*
log(512)^2 + 365229419904*z^2*log(2)^9*log(512)^2 + 386697805056*z^2*log(2)^3*log(512)^2 - 129544704*z^2*log(2
)^9*log(512)^4 + 125349120*z^2*log(2)^2*log(512)^5 + 117884160*z^2*log(2)^11*log(512)^3 - 99097344*z^2*log(2)^
13*log(512)^2 + 67972608*z^2*log(2)^3*log(512)^5 + 53167104*z^2*log(2)^4*log(512)^5 - 44105472*z^2*log(2)^2*lo
g(512)^4 + 38003328*z^2*log(2)^5*log(512)^5 - 34689600*z^2*log(2)^10*log(512)^4 + 33860736*z^2*log(2)^6*log(51
2)^5 + 19813248*z^2*log(2)^7*log(512)^5 - 7278336*z^2*log(2)^14*log(512)^2 + 6959232*z^2*log(2)^8*log(512)^5 +
3421440*z^2*log(2)^12*log(512)^3 + 2576448*z^2*log(2)^2*log(512)^6 + 1973760*z^2*log(2)^3*log(512)^6 - 188697
6*z^2*log(2)^13*log(512)^3 + 1387008*z^2*log(2)^9*log(512)^5 + 1100160*z^2*log(2)^4*log(512)^6 + 345600*z^2*lo
g(2)^5*log(512)^6 + 119808*z^2*log(2)^12*log(512)^4 + 52800*z^2*log(2)^6*log(512)^6 + 13824*z^2*log(2)^11*log(
512)^4 - 5408820375552*z^2*log(2)^8*log(512) + 9877635072*z^2*log(2)*log(512)^2 - 25151109120*z^2*log(2)^4*log
(512)^3 + 912031488*z^2*log(2)^14*log(512) - 9600159336192*z^2*log(2)^5*log(512) + 3571703424*z^2*log(2)^12*lo
g(512)^2 + 621912256128*z^2*log(2)^8*log(512)^2 - 2727646835328*z^2*log(2)^10*log(512) - 962379657216*z^2*log(
2)^3*log(512) + 240185088*z^2*log(2)^15*log(512) - 2926840320*z^2*log(2)^3*log(512)^4 - 1719926784*z^2*log(2)*
log(512) - 309312203904*z^2*log(2)^12*log(512) + 67792896*z^2*log(2)*log(512)^5 - 64696320*z^2*log(2)*log(512)
^4 + 1889280*z^2*log(2)*log(512)^6 + 144285779520*z^2*log(2)^10*log(512)^2 - 71194256640*z^2*log(2)^3*log(512)
^3 - 81374035968*z^2*log(2)^2*log(512) - 7352678603520*z^2*log(2)^7*log(512) - 28043304192*z^2*log(2)^7*log(51
2)^3 - 1103044977792*z^2*log(2)^11*log(512) + 719124511104*z^2*log(2)^7*log(512)^2 + 152159772672*z^2*log(2)^2
*log(512)^2 - 31891864320*z^2*log(2)^5*log(512)^3 - 14698008576*z^2*log(2)^8*log(512)^3 - 1686042432*z^2*log(2
)^4*log(512)^4 - 23079230208*z^2*log(2)^2*log(512)^3 + 993650747904*z^2*log(2)^5*log(512)^2 - 37282436352*z^2*
log(2)^13*log(512) - 4538392136064*z^2*log(2)^9*log(512) + 937568882880*z^2*log(2)^6*log(512)^2 - 1216365120*z
^2*log(2)^5*log(512)^4 - 2339115542784*z^2*log(2)^4*log(512) - 991595520*z^2*log(2)^10*log(512)^3 + 2318998781
952*z^2*log(2)^4 + 19159376772672*z^2*log(2)^8 + 11410942428288*z^2*log(2)^10 + 7739670528*z^2*log(2)^2 + 2816
627852160*z^2*log(2)^12 + 20833560474624*z^2*log(2)^7 + 105993427392*z^2*log(2)^14 - 2766327552*z^2*log(2)^15
+ 221548068864*z^2*log(2)^3 + 796929083136*z^2*log(2)^13 + 24049726142976*z^2*log(2)^6 + 13518283140288*z^2*lo
g(2)^9 + 6890230350144*z^2*log(2)^11 + 4862916622080*z^2*log(2)^5 - 982575360*z^2*log(2)^16 - 396804096*z^2*lo
g(512)^3 + 298598400*z^2*log(512)^4 + 95551488*z^2*log(512)^2 + 35831808*z^2*log(512)^5 + 1019904*z^2*log(512)
^6 + 785658175488*z*log(2)^2*log(512) + 15238188288*z*log(2)^10*log(512)^2 + 242866957824*z*log(2)^8*log(512)^
2 - 109690827264*z*log(2)^3*log(512)^3 - 2018573568*z*log(2)^8*log(512)^3 + 366904083456*z*log(2)^2*log(512)^2
- 27597853440*z*log(2)^6*log(512)^3 - 74756328192*z*log(2)^4*log(512)^3 - 5952144384*z*log(2)^7*log(512)^3 -
1940058501120*z*log(2)^3*log(512) - 11503689984*z*log(2)^12*log(512) - 7845337907712*z*log(2)^7*log(512) - 102
9572352*z*log(2)^5*log(512)^4 + 958934016*z*log(2)^2*log(512)^4 - 854090496*z*log(2)^4*log(512)^4 - 823350528*
z*log(2)^3*log(512)^4 + 720603648*z*log(2)^11*log(512)^2 - 673574400*z*log(2)^6*log(512)^4 + 60734921472*z*log
(2)^9*log(512)^2 + 1164487249152*z*log(2)^6*log(512)^2 - 491380992*z*log(2)^9*log(512)^3 - 12289940752896*z*lo
g(2)^5*log(512) - 478689440256*z*log(2)^10*log(512) - 113535696384*z*log(2)^11*log(512) + 16307453952*z*log(2)
*log(512) - 149066496*z*log(2)^7*log(512)^4 + 134305024*z*log(2)^2*log(512)^5 + 117656320*z*log(2)^3*log(512)^
5 + 77220864*z*log(2)^10*log(512)^3 + 74749696*z*log(2)^4*log(512)^5 - 62290944*z*log(2)^12*log(512)^2 - 68772
374784*z*log(2)^2*log(512)^3 - 39746304*z*log(2)^8*log(512)^4 + 32734720*z*log(2)^5*log(512)^5 - 10241280*z*lo
g(2)^9*log(512)^4 + 9675520*z*log(2)^6*log(512)^5 + 2195200*z*log(2)^7*log(512)^5 + 1548288*z*log(2)^11*log(51
2)^3 + 995328*z*log(2)^13*log(512)^2 - 663552*z*log(2)^12*log(512)^3 + 313600*z*log(2)^8*log(512)^5 + 55296*z*
log(2)^10*log(512)^4 + 27648*z*log(2)^11*log(512)^4 - 87372988416*z*log(2)*log(512)^2 - 31432790016*z*log(2)*l
og(512)^3 - 5464534855680*z*log(2)^8*log(512) + 708395362560*z*log(2)^7*log(512)^2 - 59830292736*z*log(2)^5*lo
g(512)^3 - 2049835838976*z*log(2)^9*log(512) + 1084096512*z*log(2)*log(512)^4 - 5464136040192*z*log(2)^4*log(5
12) - 9629929907712*z*log(2)^6*log(512) + 491194368*z*log(2)^13*log(512) + 977839858944*z*log(2)^3*log(512)^2
+ 1832457074688*z*log(2)^4*log(512)^2 + 93933568*z*log(2)*log(512)^5 + 67184640*z*log(2)^14*log(512) + 1437118
702848*z*log(2)^5*log(512)^2 + 30306807465984*z*log(2)^6 + 14260753893888*z*log(2)^9 - 61487382528*z*log(2)^2
+ 10334955504384*z*log(2)^5 + 5601781380096*z*log(2)^10 - 1052835840*z*log(512)^2 + 1008009216*z*log(512)^4 -
866681856*z*log(2)^14 + 22231542942720*z*log(2)^7 - 2293235712*z*log(2) + 4042251205632*z*log(2)^4 - 382952448
*z*log(2)^15 + 45039616*z*log(512)^5 + 1266911953920*z*log(2)^11 - 2392041922560*z*log(2)^3 + 3289890816*z*log
(512)^3 + 37545576192*z*log(2)^13 + 254803968*z*log(512) + 18557057097216*z*log(2)^8 + 276895895040*z*log(2)^1
2 - 45158400*log(2)^8*log(512)^3 - 7962624*log(2)^10*log(512)^2 - 3981312*log(2)^11*log(512)^2 + 420850612224*
log(2)^4*log(512)^2 - 3360145047552*log(2)^5*log(512) - 16942510080*log(2)^3*log(512)^3 - 5549908451328*log(2)
^4*log(512) - 17988397056*log(2)^10*log(512) - 13526433792*log(2)*log(512)^3 + 7620120576*log(2)^8*log(512)^2
+ 565890306048*log(2)^3*log(512)^2 - 1580963401728*log(2)^2*log(512) + 346595742720*log(2)^2*log(512)^2 + 3289
8299904*log(2)^7*log(512)^2 + 104509440*log(2)^12*log(512) - 100528128*log(2)^11*log(512) - 1344195274752*log(
2)^7*log(512) - 2916012275712*log(2)^3*log(512) - 10763956224*log(2)^4*log(512)^3 - 19339923456*log(2)^2*log(5
12)^3 + 1576350720*log(2)^9*log(512)^2 - 1393274880*log(2)^6*log(512)^3 - 50234535936*log(2)^9*log(512) + 1430
79367680*log(2)^6*log(512)^2 + 289048200192*log(2)^5*log(512)^2 - 64513179648*log(2)*log(512) + 174375714816*l
og(2)*log(512)^2 - 2699548342272*log(2)^6*log(512) - 4713799680*log(2)^5*log(512)^3 - 294051078144*log(2)^8*lo
g(512) - 316108800*log(2)^7*log(512)^3 + 4791794651136*log(2)^3 + 18050171756544*log(2)^5 + 8704281212928*log(
2)^6 + 2553016320*log(2)^12 - 6485704704*log(512)^3 + 272608395264*log(2)^2 + 7665352704*log(2) + 929048942592
*log(2)^9 - 689762304*log(2)^13 + 90815385600*log(2)^10 + 4076454159360*log(2)^8 + 60658025472*log(2)^11 + 812
5778912256*log(2)^4 + 3947692032*log(512)^2 - 1082916864*log(512) + 8542021100544*log(2)^7 + 169869312, z, k)*
(1915674624*log(512) - 15294210048*log(2) - x*(1649009664*log(512) - 12777772032*log(2) - 86424454656*log(2)*l
og(512) - 232649459712*log(2)*log(512)^2 + 2311107697152*log(2)^2*log(512) + 4162212864*log(2)*log(512)^3 + 11
96724160512*log(2)^3*log(512) - 149313024*log(2)*log(512)^4 - 104504214528*log(2)^4*log(512) - 597621431808*lo
g(2)^5*log(512) - 439621198848*log(2)^6*log(512) - 185462078976*log(2)^7*log(512) - 47900657664*log(2)^8*log(5
12) - 11916315648*log(2)^9*log(512) - 2280918528*log(2)^10*log(512) - 151165440*log(2)^11*log(512) + 417820343
040*log(2)^2 - 7615018759680*log(2)^3 - 3368515051008*log(2)^4 + 199649422080*log(2)^5 + 2199676808448*log(2)^
6 + 1726998713856*log(2)^7 + 753263172864*log(2)^8 + 185130074880*log(2)^9 + 42810052608*log(2)^10 + 875751782
4*log(2)^11 + 861643008*log(2)^12 + 4326918912*log(512)^2 + 7799694336*log(512)^3 + 65788416*log(512)^4 - 1347
69899520*log(2)^2*log(512)^2 + 2150074368*log(2)^2*log(512)^3 + 2660988672*log(2)^3*log(512)^2 - 252433152*log
(2)^2*log(512)^4 + 2970362880*log(2)^3*log(512)^3 + 32251613184*log(2)^4*log(512)^2 - 119335680*log(2)^3*log(5
12)^4 + 1627776000*log(2)^4*log(512)^3 + 23006446848*log(2)^5*log(512)^2 - 38990592*log(2)^4*log(512)^4 + 4240
92672*log(2)^5*log(512)^3 + 10435682304*log(2)^6*log(512)^2 - 12635136*log(2)^5*log(512)^4 + 144211968*log(2)^
6*log(512)^3 + 2827415808*log(2)^7*log(512)^2 - 3062016*log(2)^6*log(512)^4 + 26459136*log(2)^7*log(512)^3 + 7
93463040*log(2)^8*log(512)^2 - 559872*log(2)^7*log(512)^4 + 6967296*log(2)^8*log(512)^3 + 128957184*log(2)^9*l
og(512)^2 - 62208*log(2)^8*log(512)^4 + 1492992*log(2)^9*log(512)^3 - 2239488*log(2)^10*log(512)^2 - 203046912
) - 9087427584*log(2)*log(512) - 59528390400*log(2)*log(512)^2 + 692511565824*log(2)^2*log(512) + 116370432*lo
g(2)*log(512)^3 - 178670665728*log(2)^3*log(512) - 113121792*log(2)*log(512)^4 - 242746771968*log(2)^4*log(512
) - 622482693120*log(2)^5*log(512) - 665234394624*log(2)^6*log(512) - 317564582400*log(2)^7*log(512) - 8976436
0704*log(2)^8*log(512) - 19959312384*log(2)^9*log(512) - 3723148800*log(2)^10*log(512) - 251942400*log(2)^11*l
og(512) - root(266783382*z^5*log(2)^12*log(512)^3 - 211631616*z^5*log(2)^8*log(512)^4 - 178682274*z^5*log(2)^9
*log(512)^4 - 125892468*z^5*log(2)^6*log(512)^4 + 123294312*z^5*log(2)^6*log(512)^3 + 68221278*z^5*log(2)^7*lo
g(512)^4 - 52278048*z^5*log(2)^10*log(512)^4 + 38263752*z^5*log(2)^14*log(512)^2 + 29760696*z^5*log(2)^15*log(
512)^2 - 29760696*z^5*log(2)^6*log(512)^2 + 26985393*z^5*log(2)^11*log(512)^4 - 17006112*z^5*log(2)^13*log(512
)^3 - 12837690*z^5*log(2)^6*log(512)^5 + 6613488*z^5*log(2)^5*log(512)^4 - 5821794*z^5*log(2)^9*log(512)^5 - 4
776408*z^5*log(2)^8*log(512)^5 - 3418281*z^5*log(2)^10*log(512)^5 - 34362443619*z^5*log(2)^9*log(512)^2 + 2230
740*z^5*log(2)^5*log(512)^5 + 1653372*z^5*log(2)^12*log(512)^4 - 1076004*z^5*log(2)^4*log(512)^5 + 944784*z^5*
log(2)^14*log(512)^3 - 944784*z^5*log(2)^5*log(512)^3 - 761076*z^5*log(2)^7*log(512)^5 + 373977*z^5*log(2)^5*l
og(512)^6 - 288684*z^5*log(2)^13*log(512)^4 + 288684*z^5*log(2)^4*log(512)^4 + 258066*z^5*log(2)^8*log(512)^6
+ 238383*z^5*log(2)^7*log(512)^6 + 104976*z^5*log(2)^9*log(512)^6 - 74358*z^5*log(2)^6*log(512)^6 - 61236*z^5*
log(2)^4*log(512)^6 - 52488*z^5*log(2)^11*log(512)^5 + 34992*z^5*log(2)^3*log(512)^6 + 13122*z^5*log(2)^5*log(
512)^7 + 11664*z^5*log(2)^12*log(512)^5 - 11664*z^5*log(2)^3*log(512)^5 + 4131*z^5*log(2)^6*log(512)^7 + 3888*
z^5*log(2)^3*log(512)^7 + 243*z^5*log(2)^4*log(512)^7 + 108*z^5*log(2)^3*log(512)^8 - 34096191678*z^5*log(2)^1
2*log(512)^2 + 361936830168*z^5*log(2)^11*log(512) + 198474081624*z^5*log(2)^10*log(512) + 176807232054*z^5*lo
g(2)^13*log(512) + 344373768*z^5*log(2)^15*log(512) - 306110016*z^5*log(2)^16*log(512) + 306110016*z^5*log(2)^
7*log(512) + 34566516963*z^5*log(2)^14*log(512) + 2835060588*z^5*log(2)^11*log(512)^3 + 2725229448*z^5*log(2)^
7*log(512)^3 + 330684910722*z^5*log(2)^12*log(512) + 133100461332*z^5*log(2)^9*log(512) - 2142770112*z^5*log(2
)^7*log(512)^2 - 70816639014*z^5*log(2)^10*log(512)^2 + 2077048575*z^5*log(2)^8*log(512)^3 + 12225268764*z^5*l
og(2)^8*log(512) + 6306078906*z^5*log(2)^9*log(512)^3 - 27454242060*z^5*log(2)^8*log(512)^2 + 5877206019*z^5*l
og(2)^10*log(512)^3 - 5729996862*z^5*log(2)^13*log(512)^2 - 65607985773*z^5*log(2)^11*log(512)^2 - 70820465389
2*z^5*log(2)^12 - 72447631443*z^5*log(2)^15 - 252598158828*z^5*log(2)^10 - 24794911296*z^5*log(2)^9 - 41118227
8992*z^5*log(2)^11 - 346612197492*z^5*log(2)^14 - 638468965872*z^5*log(2)^13 - 1549681956*z^5*log(2)^16 + 8609
34420*z^5*log(2)^17 - 860934420*z^5*log(2)^8 - 774932832*z^4*log(2)^8*log(512)^3 + 613637208*z^4*log(2)^12*log
(512)^2 + 571699296*z^4*log(2)^9*log(512)^3 + 532018368*z^4*log(2)^7*log(512)^3 + 319336992*z^4*log(2)^6*log(5
12)^2 - 286094592*z^4*log(2)^6*log(512)^3 - 4568975424*z^4*log(2)^11*log(512)^2 + 266639040*z^4*log(2)^10*log(
512)^3 - 245433888*z^4*log(2)^12*log(512)^3 - 72223488*z^4*log(2)^11*log(512)^3 + 54330912*z^4*log(2)^7*log(51
2)^4 - 37663056*z^4*log(2)^6*log(512)^4 - 29160000*z^4*log(2)^8*log(512)^4 - 13226976*z^4*log(2)^15*log(512)^2
+ 9346752*z^4*log(2)^5*log(512)^4 - 6284952*z^4*log(2)^12*log(512)^4 + 5942808*z^4*log(2)^10*log(512)^4 + 580
8672*z^4*log(2)^13*log(512)^3 + 4129056*z^4*log(2)^14*log(512)^3 + 3720816*z^4*log(2)^11*log(512)^4 - 2006208*
z^4*log(2)^6*log(512)^5 - 1967328*z^4*log(2)^4*log(512)^4 + 1936224*z^4*log(2)^9*log(512)^4 - 1889568*z^4*log(
2)^16*log(512)^2 + 1889568*z^4*log(2)^5*log(512)^2 - 1609632*z^4*log(2)^5*log(512)^3 + 1527984*z^4*log(2)^7*lo
g(512)^5 + 1259712*z^4*log(2)^5*log(512)^5 - 664848*z^4*log(2)^8*log(512)^5 - 489888*z^4*log(2)^15*log(512)^3
+ 489888*z^4*log(2)^4*log(512)^3 - 361584*z^4*log(2)^9*log(512)^5 + 279936*z^4*log(2)^11*log(512)^5 - 256608*z
^4*log(2)^4*log(512)^5 - 202176*z^4*log(2)^13*log(512)^4 + 128304*z^4*log(2)^10*log(512)^5 + 93312*z^4*log(2)^
3*log(512)^5 - 55728*z^4*log(2)^6*log(512)^6 + 38880*z^4*log(2)^5*log(512)^6 + 31104*z^4*log(2)^14*log(512)^4
- 31104*z^4*log(2)^3*log(512)^4 - 17496*z^4*log(2)^4*log(512)^6 + 12960*z^4*log(2)^7*log(512)^6 + 11016*z^4*lo
g(2)^8*log(512)^6 + 10368*z^4*log(2)^3*log(512)^6 - 576*z^4*log(2)^4*log(512)^7 + 288*z^4*log(2)^5*log(512)^7
+ 288*z^4*log(2)^3*log(512)^7 + 4032338112*z^4*log(2)^7*log(512)^2 + 14166091296*z^4*log(2)^9*log(512) + 38830
62240*z^4*log(2)^13*log(512)^2 - 3878810712*z^4*log(2)^8*log(512)^2 - 7275781584*z^4*log(2)^10*log(512)^2 - 17
5729824*z^4*log(2)^16*log(512) + 62355744*z^4*log(2)^17*log(512) - 62355744*z^4*log(2)^6*log(512) - 2557152374
4*z^4*log(2)^8*log(512) - 25313597712*z^4*log(2)^14*log(512) - 7692431328*z^4*log(2)^15*log(512) + 6031501056*
z^4*log(2)^9*log(512)^2 + 29020930128*z^4*log(2)^12*log(512) - 24505807392*z^4*log(2)^10*log(512) - 2865529872
*z^4*log(2)^13*log(512) - 2681296992*z^4*log(2)^7*log(512) + 45618895440*z^4*log(2)^11*log(512) + 856919088*z^
4*log(2)^14*log(512)^2 - 20509371072*z^4*log(2)^10 + 20292543144*z^4*log(2)^16 + 6836457024*z^4*log(2)^8 + 410
18742144*z^4*log(2)^11 - 65813653440*z^4*log(2)^13 - 108669055680*z^4*log(2)^12 + 969348384*z^4*log(2)^17 + 52
42134024*z^4*log(2)^14 + 60405709824*z^4*log(2)^9 - 255091680*z^4*log(2)^18 + 255091680*z^4*log(2)^7 + 6022714
5648*z^4*log(2)^15 + 1475452481616*z^3*log(2)^8*log(512) + 22117316976*z^3*log(2)^6*log(512)^3 - 621084672*z^3
*log(2)^4*log(512)^4 - 603895824*z^3*log(2)^5*log(512)^4 - 309305952*z^3*log(2)^7*log(512)^4 - 465747334128*z^
3*log(2)^12*log(512) - 478630408752*z^3*log(2)^11*log(512) - 66301161984*z^3*log(2)^4*log(512) + 267618816*z^3
*log(2)^2*log(512)^3 - 111918902688*z^3*log(2)^6*log(512)^2 - 197424864*z^3*log(2)^14*log(512)^2 - 49007520720
*z^3*log(2)^14*log(512) + 135492912*z^3*log(2)^6*log(512)^4 - 70267824*z^3*log(2)^8*log(512)^4 + 67524192*z^3*
log(2)^12*log(512)^3 - 58032288*z^3*log(2)^10*log(512)^4 - 39474864*z^3*log(2)^11*log(512)^4 - 38584512*z^3*lo
g(2)^2*log(512)^4 + 297990542304*z^3*log(2)^7*log(512) - 33277392*z^3*log(2)^15*log(512)^2 - 28405728*z^3*log(
2)^9*log(512)^4 + 27031968*z^3*log(2)^13*log(512)^3 - 23228208*z^3*log(2)^5*log(512)^5 + 19455552*z^3*log(2)^2
*log(512)^5 - 18719424*z^3*log(2)^3*log(512)^5 - 16097616*z^3*log(2)^4*log(512)^5 + 5266944*z^3*log(2)^6*log(5
12)^5 - 5159376*z^3*log(2)^14*log(512)^3 + 4191264*z^3*log(2)^9*log(512)^5 + 3387744*z^3*log(2)^8*log(512)^5 +
1819584*z^3*log(2)^16*log(512)^2 + 1678320*z^3*log(2)^10*log(512)^5 + 1363392*z^3*log(2)^2*log(512)^6 - 11275
20*z^3*log(2)^12*log(512)^4 - 662256*z^3*log(2)^7*log(512)^5 + 653520*z^3*log(2)^3*log(512)^6 + 575808*z^3*log
(2)^4*log(512)^6 + 373248*z^3*log(2)^13*log(512)^4 + 346848*z^3*log(2)^6*log(512)^6 + 247824*z^3*log(2)^5*log(
512)^6 - 176256*z^3*log(2)^15*log(512)^3 - 139968*z^3*log(2)^17*log(512)^2 + 104448*z^3*log(2)^7*log(512)^6 +
20736*z^3*log(2)^16*log(512)^3 + 15120*z^3*log(2)^2*log(512)^7 + 7200*z^3*log(2)^3*log(512)^7 + 3600*z^3*log(2
)^4*log(512)^7 - 1451188224*z^3*log(2)^3*log(512) - 4109201280*z^3*log(2)^3*log(512)^3 + 59897625984*z^3*log(2
)^10*log(512)^2 - 679901838336*z^3*log(2)^5*log(512) + 12253218624*z^3*log(2)^9*log(512)^2 + 3509987904*z^3*lo
g(2)^7*log(512)^3 + 764330256*z^3*log(2)^16*log(512) + 33394965120*z^3*log(2)^12*log(512)^2 - 3213669168*z^3*l
og(2)^10*log(512)^3 + 11794778064*z^3*log(2)^4*log(512)^3 - 269372440080*z^3*log(2)^7*log(512)^2 - 32239777723
2*z^3*log(2)^6*log(512) + 272727648*z^3*log(2)^15*log(512) - 72907776*z^3*log(2)*log(512)^4 + 17915904*z^3*log
(2)*log(512)^3 + 10077696*z^3*log(2)^17*log(512) - 2519424*z^3*log(2)^18*log(512) + 746496*z^3*log(2)*log(512)
^5 + 497664*z^3*log(2)*log(512)^6 + 11520*z^3*log(2)*log(512)^7 + 2623933440*z^3*log(2)^8*log(512)^3 + 6439647
744*z^3*log(2)^3*log(512)^2 - 2040274656*z^3*log(2)^9*log(512)^3 + 14879943648*z^3*log(2)^5*log(512)^3 + 91606
396608*z^3*log(2)^4*log(512)^2 - 1324890432*z^3*log(2)^11*log(512)^3 + 65631100176*z^3*log(2)^11*log(512)^2 -
56902520736*z^3*log(2)^8*log(512)^2 - 1025358912*z^3*log(2)^3*log(512)^4 - 247433260896*z^3*log(2)^13*log(512)
- 230214572496*z^3*log(2)^10*log(512) - 22368321072*z^3*log(2)^5*log(512)^2 + 307432398672*z^3*log(2)^9*log(5
12) + 5147253216*z^3*log(2)^13*log(512)^2 - 63325092384*z^3*log(2)^8 - 574380488016*z^3*log(2)^10 - 2871198576
*z^3*log(2)^17 + 621012191904*z^3*log(2)^14 + 1149190852752*z^3*log(2)^13 - 3090345948720*z^3*log(2)^9 + 65303
47008*z^3*log(2)^4 + 1385010828720*z^3*log(2)^7 + 134806505040*z^3*log(2)^15 + 182033422848*z^3*log(2)^5 + 735
999018192*z^3*log(2)^11 + 1228219200*z^3*log(2)^16 + 1727359924608*z^3*log(2)^6 + 1259129698128*z^3*log(2)^12
- 109594944*z^3*log(2)^18 + 18895680*z^3*log(2)^19 + 2985984*z^3*log(512)^5 - 995328*z^3*log(512)^4 + 331776*z
^3*log(512)^6 + 9216*z^3*log(512)^7 + 1357982413056*z^2*log(2)^4*log(512)^2 - 10893864960*z^2*log(2)*log(512)^
3 - 26468881920*z^2*log(2)^6*log(512)^3 - 4982881536*z^2*log(2)^9*log(512)^3 - 517185216*z^2*log(2)^7*log(512)
^4 - 506853504*z^2*log(2)^6*log(512)^4 - 8020766022912*z^2*log(2)^6*log(512) - 326453760*z^2*log(2)^8*log(512)
^4 + 38873592576*z^2*log(2)^11*log(512)^2 + 365229419904*z^2*log(2)^9*log(512)^2 + 386697805056*z^2*log(2)^3*l
og(512)^2 - 129544704*z^2*log(2)^9*log(512)^4 + 125349120*z^2*log(2)^2*log(512)^5 + 117884160*z^2*log(2)^11*lo
g(512)^3 - 99097344*z^2*log(2)^13*log(512)^2 + 67972608*z^2*log(2)^3*log(512)^5 + 53167104*z^2*log(2)^4*log(51
2)^5 - 44105472*z^2*log(2)^2*log(512)^4 + 38003328*z^2*log(2)^5*log(512)^5 - 34689600*z^2*log(2)^10*log(512)^4
+ 33860736*z^2*log(2)^6*log(512)^5 + 19813248*z^2*log(2)^7*log(512)^5 - 7278336*z^2*log(2)^14*log(512)^2 + 69
59232*z^2*log(2)^8*log(512)^5 + 3421440*z^2*log(2)^12*log(512)^3 + 2576448*z^2*log(2)^2*log(512)^6 + 1973760*z
^2*log(2)^3*log(512)^6 - 1886976*z^2*log(2)^13*log(512)^3 + 1387008*z^2*log(2)^9*log(512)^5 + 1100160*z^2*log(
2)^4*log(512)^6 + 345600*z^2*log(2)^5*log(512)^6 + 119808*z^2*log(2)^12*log(512)^4 + 52800*z^2*log(2)^6*log(51
2)^6 + 13824*z^2*log(2)^11*log(512)^4 - 5408820375552*z^2*log(2)^8*log(512) + 9877635072*z^2*log(2)*log(512)^2
- 25151109120*z^2*log(2)^4*log(512)^3 + 912031488*z^2*log(2)^14*log(512) - 9600159336192*z^2*log(2)^5*log(512
) + 3571703424*z^2*log(2)^12*log(512)^2 + 621912256128*z^2*log(2)^8*log(512)^2 - 2727646835328*z^2*log(2)^10*l
og(512) - 962379657216*z^2*log(2)^3*log(512) + 240185088*z^2*log(2)^15*log(512) - 2926840320*z^2*log(2)^3*log(
512)^4 - 1719926784*z^2*log(2)*log(512) - 309312203904*z^2*log(2)^12*log(512) + 67792896*z^2*log(2)*log(512)^5
- 64696320*z^2*log(2)*log(512)^4 + 1889280*z^2*log(2)*log(512)^6 + 144285779520*z^2*log(2)^10*log(512)^2 - 71
194256640*z^2*log(2)^3*log(512)^3 - 81374035968*z^2*log(2)^2*log(512) - 7352678603520*z^2*log(2)^7*log(512) -
28043304192*z^2*log(2)^7*log(512)^3 - 1103044977792*z^2*log(2)^11*log(512) + 719124511104*z^2*log(2)^7*log(512
)^2 + 152159772672*z^2*log(2)^2*log(512)^2 - 31891864320*z^2*log(2)^5*log(512)^3 - 14698008576*z^2*log(2)^8*lo
g(512)^3 - 1686042432*z^2*log(2)^4*log(512)^4 - 23079230208*z^2*log(2)^2*log(512)^3 + 993650747904*z^2*log(2)^
5*log(512)^2 - 37282436352*z^2*log(2)^13*log(512) - 4538392136064*z^2*log(2)^9*log(512) + 937568882880*z^2*log
(2)^6*log(512)^2 - 1216365120*z^2*log(2)^5*log(512)^4 - 2339115542784*z^2*log(2)^4*log(512) - 991595520*z^2*lo
g(2)^10*log(512)^3 + 2318998781952*z^2*log(2)^4 + 19159376772672*z^2*log(2)^8 + 11410942428288*z^2*log(2)^10 +
7739670528*z^2*log(2)^2 + 2816627852160*z^2*log(2)^12 + 20833560474624*z^2*log(2)^7 + 105993427392*z^2*log(2)
^14 - 2766327552*z^2*log(2)^15 + 221548068864*z^2*log(2)^3 + 796929083136*z^2*log(2)^13 + 24049726142976*z^2*l
og(2)^6 + 13518283140288*z^2*log(2)^9 + 6890230350144*z^2*log(2)^11 + 4862916622080*z^2*log(2)^5 - 982575360*z
^2*log(2)^16 - 396804096*z^2*log(512)^3 + 298598400*z^2*log(512)^4 + 95551488*z^2*log(512)^2 + 35831808*z^2*lo
g(512)^5 + 1019904*z^2*log(512)^6 + 785658175488*z*log(2)^2*log(512) + 15238188288*z*log(2)^10*log(512)^2 + 24
2866957824*z*log(2)^8*log(512)^2 - 109690827264*z*log(2)^3*log(512)^3 - 2018573568*z*log(2)^8*log(512)^3 + 366
904083456*z*log(2)^2*log(512)^2 - 27597853440*z*log(2)^6*log(512)^3 - 74756328192*z*log(2)^4*log(512)^3 - 5952
144384*z*log(2)^7*log(512)^3 - 1940058501120*z*log(2)^3*log(512) - 11503689984*z*log(2)^12*log(512) - 78453379
07712*z*log(2)^7*log(512) - 1029572352*z*log(2)^5*log(512)^4 + 958934016*z*log(2)^2*log(512)^4 - 854090496*z*l
og(2)^4*log(512)^4 - 823350528*z*log(2)^3*log(512)^4 + 720603648*z*log(2)^11*log(512)^2 - 673574400*z*log(2)^6
*log(512)^4 + 60734921472*z*log(2)^9*log(512)^2 + 1164487249152*z*log(2)^6*log(512)^2 - 491380992*z*log(2)^9*l
og(512)^3 - 12289940752896*z*log(2)^5*log(512) - 478689440256*z*log(2)^10*log(512) - 113535696384*z*log(2)^11*
log(512) + 16307453952*z*log(2)*log(512) - 149066496*z*log(2)^7*log(512)^4 + 134305024*z*log(2)^2*log(512)^5 +
117656320*z*log(2)^3*log(512)^5 + 77220864*z*log(2)^10*log(512)^3 + 74749696*z*log(2)^4*log(512)^5 - 62290944
*z*log(2)^12*log(512)^2 - 68772374784*z*log(2)^2*log(512)^3 - 39746304*z*log(2)^8*log(512)^4 + 32734720*z*log(
2)^5*log(512)^5 - 10241280*z*log(2)^9*log(512)^4 + 9675520*z*log(2)^6*log(512)^5 + 2195200*z*log(2)^7*log(512)
^5 + 1548288*z*log(2)^11*log(512)^3 + 995328*z*log(2)^13*log(512)^2 - 663552*z*log(2)^12*log(512)^3 + 313600*z
*log(2)^8*log(512)^5 + 55296*z*log(2)^10*log(512)^4 + 27648*z*log(2)^11*log(512)^4 - 87372988416*z*log(2)*log(
512)^2 - 31432790016*z*log(2)*log(512)^3 - 5464534855680*z*log(2)^8*log(512) + 708395362560*z*log(2)^7*log(512
)^2 - 59830292736*z*log(2)^5*log(512)^3 - 2049835838976*z*log(2)^9*log(512) + 1084096512*z*log(2)*log(512)^4 -
5464136040192*z*log(2)^4*log(512) - 9629929907712*z*log(2)^6*log(512) + 491194368*z*log(2)^13*log(512) + 9778
39858944*z*log(2)^3*log(512)^2 + 1832457074688*z*log(2)^4*log(512)^2 + 93933568*z*log(2)*log(512)^5 + 67184640
*z*log(2)^14*log(512) + 1437118702848*z*log(2)^5*log(512)^2 + 30306807465984*z*log(2)^6 + 14260753893888*z*log
(2)^9 - 61487382528*z*log(2)^2 + 10334955504384*z*log(2)^5 + 5601781380096*z*log(2)^10 - 1052835840*z*log(512)
^2 + 1008009216*z*log(512)^4 - 866681856*z*log(2)^14 + 22231542942720*z*log(2)^7 - 2293235712*z*log(2) + 40422
51205632*z*log(2)^4 - 382952448*z*log(2)^15 + 45039616*z*log(512)^5 + 1266911953920*z*log(2)^11 - 239204192256
0*z*log(2)^3 + 3289890816*z*log(512)^3 + 37545576192*z*log(2)^13 + 254803968*z*log(512) + 18557057097216*z*log
(2)^8 + 276895895040*z*log(2)^12 - 45158400*log(2)^8*log(512)^3 - 7962624*log(2)^10*log(512)^2 - 3981312*log(2
)^11*log(512)^2 + 420850612224*log(2)^4*log(512)^2 - 3360145047552*log(2)^5*log(512) - 16942510080*log(2)^3*lo
g(512)^3 - 5549908451328*log(2)^4*log(512) - 17988397056*log(2)^10*log(512) - 13526433792*log(2)*log(512)^3 +
7620120576*log(2)^8*log(512)^2 + 565890306048*log(2)^3*log(512)^2 - 1580963401728*log(2)^2*log(512) + 34659574
2720*log(2)^2*log(512)^2 + 32898299904*log(2)^7*log(512)^2 + 104509440*log(2)^12*log(512) - 100528128*log(2)^1
1*log(512) - 1344195274752*log(2)^7*log(512) - 2916012275712*log(2)^3*log(512) - 10763956224*log(2)^4*log(512)
^3 - 19339923456*log(2)^2*log(512)^3 + 1576350720*log(2)^9*log(512)^2 - 1393274880*log(2)^6*log(512)^3 - 50234
535936*log(2)^9*log(512) + 143079367680*log(2)^6*log(512)^2 + 289048200192*log(2)^5*log(512)^2 - 64513179648*l
og(2)*log(512) + 174375714816*log(2)*log(512)^2 - 2699548342272*log(2)^6*log(512) - 4713799680*log(2)^5*log(51
2)^3 - 294051078144*log(2)^8*log(512) - 316108800*log(2)^7*log(512)^3 + 4791794651136*log(2)^3 + 1805017175654
4*log(2)^5 + 8704281212928*log(2)^6 + 2553016320*log(2)^12 - 6485704704*log(512)^3 + 272608395264*log(2)^2 + 7
665352704*log(2) + 929048942592*log(2)^9 - 689762304*log(2)^13 + 90815385600*log(2)^10 + 4076454159360*log(2)^
8 + 60658025472*log(2)^11 + 8125778912256*log(2)^4 + 3947692032*log(512)^2 - 1082916864*log(512) + 85420211005
44*log(2)^7 + 169869312, z, k)*(143327232*log(512) - 1289945088*log(2) + root(266783382*z^5*log(2)^12*log(512)
^3 - 211631616*z^5*log(2)^8*log(512)^4 - 178682274*z^5*log(2)^9*log(512)^4 - 125892468*z^5*log(2)^6*log(512)^4
+ 123294312*z^5*log(2)^6*log(512)^3 + 68221278*z^5*log(2)^7*log(512)^4 - 52278048*z^5*log(2)^10*log(512)^4 +
38263752*z^5*log(2)^14*log(512)^2 + 29760696*z^5*log(2)^15*log(512)^2 - 29760696*z^5*log(2)^6*log(512)^2 + 269
85393*z^5*log(2)^11*log(512)^4 - 17006112*z^5*log(2)^13*log(512)^3 - 12837690*z^5*log(2)^6*log(512)^5 + 661348
8*z^5*log(2)^5*log(512)^4 - 5821794*z^5*log(2)^9*log(512)^5 - 4776408*z^5*log(2)^8*log(512)^5 - 3418281*z^5*lo
g(2)^10*log(512)^5 - 34362443619*z^5*log(2)^9*log(512)^2 + 2230740*z^5*log(2)^5*log(512)^5 + 1653372*z^5*log(2
)^12*log(512)^4 - 1076004*z^5*log(2)^4*log(512)^5 + 944784*z^5*log(2)^14*log(512)^3 - 944784*z^5*log(2)^5*log(
512)^3 - 761076*z^5*log(2)^7*log(512)^5 + 373977*z^5*log(2)^5*log(512)^6 - 288684*z^5*log(2)^13*log(512)^4 + 2
88684*z^5*log(2)^4*log(512)^4 + 258066*z^5*log(2)^8*log(512)^6 + 238383*z^5*log(2)^7*log(512)^6 + 104976*z^5*l
og(2)^9*log(512)^6 - 74358*z^5*log(2)^6*log(512)^6 - 61236*z^5*log(2)^4*log(512)^6 - 52488*z^5*log(2)^11*log(5
12)^5 + 34992*z^5*log(2)^3*log(512)^6 + 13122*z^5*log(2)^5*log(512)^7 + 11664*z^5*log(2)^12*log(512)^5 - 11664
*z^5*log(2)^3*log(512)^5 + 4131*z^5*log(2)^6*log(512)^7 + 3888*z^5*log(2)^3*log(512)^7 + 243*z^5*log(2)^4*log(
512)^7 + 108*z^5*log(2)^3*log(512)^8 - 34096191678*z^5*log(2)^12*log(512)^2 + 361936830168*z^5*log(2)^11*log(5
12) + 198474081624*z^5*log(2)^10*log(512) + 176807232054*z^5*log(2)^13*log(512) + 344373768*z^5*log(2)^15*log(
512) - 306110016*z^5*log(2)^16*log(512) + 306110016*z^5*log(2)^7*log(512) + 34566516963*z^5*log(2)^14*log(512)
+ 2835060588*z^5*log(2)^11*log(512)^3 + 2725229448*z^5*log(2)^7*log(512)^3 + 330684910722*z^5*log(2)^12*log(5
12) + 133100461332*z^5*log(2)^9*log(512) - 2142770112*z^5*log(2)^7*log(512)^2 - 70816639014*z^5*log(2)^10*log(
512)^2 + 2077048575*z^5*log(2)^8*log(512)^3 + 12225268764*z^5*log(2)^8*log(512) + 6306078906*z^5*log(2)^9*log(
512)^3 - 27454242060*z^5*log(2)^8*log(512)^2 + 5877206019*z^5*log(2)^10*log(512)^3 - 5729996862*z^5*log(2)^13*
log(512)^2 - 65607985773*z^5*log(2)^11*log(512)^2 - 708204653892*z^5*log(2)^12 - 72447631443*z^5*log(2)^15 - 2
52598158828*z^5*log(2)^10 - 24794911296*z^5*log(2)^9 - 411182278992*z^5*log(2)^11 - 346612197492*z^5*log(2)^14
- 638468965872*z^5*log(2)^13 - 1549681956*z^5*log(2)^16 + 860934420*z^5*log(2)^17 - 860934420*z^5*log(2)^8 -
774932832*z^4*log(2)^8*log(512)^3 + 613637208*z^4*log(2)^12*log(512)^2 + 571699296*z^4*log(2)^9*log(512)^3 + 5
32018368*z^4*log(2)^7*log(512)^3 + 319336992*z^4*log(2)^6*log(512)^2 - 286094592*z^4*log(2)^6*log(512)^3 - 456
8975424*z^4*log(2)^11*log(512)^2 + 266639040*z^4*log(2)^10*log(512)^3 - 245433888*z^4*log(2)^12*log(512)^3 - 7
2223488*z^4*log(2)^11*log(512)^3 + 54330912*z^4*log(2)^7*log(512)^4 - 37663056*z^4*log(2)^6*log(512)^4 - 29160
000*z^4*log(2)^8*log(512)^4 - 13226976*z^4*log(2)^15*log(512)^2 + 9346752*z^4*log(2)^5*log(512)^4 - 6284952*z^
4*log(2)^12*log(512)^4 + 5942808*z^4*log(2)^10*log(512)^4 + 5808672*z^4*log(2)^13*log(512)^3 + 4129056*z^4*log
(2)^14*log(512)^3 + 3720816*z^4*log(2)^11*log(512)^4 - 2006208*z^4*log(2)^6*log(512)^5 - 1967328*z^4*log(2)^4*
log(512)^4 + 1936224*z^4*log(2)^9*log(512)^4 - 1889568*z^4*log(2)^16*log(512)^2 + 1889568*z^4*log(2)^5*log(512
)^2 - 1609632*z^4*log(2)^5*log(512)^3 + 1527984*z^4*log(2)^7*log(512)^5 + 1259712*z^4*log(2)^5*log(512)^5 - 66
4848*z^4*log(2)^8*log(512)^5 - 489888*z^4*log(2)^15*log(512)^3 + 489888*z^4*log(2)^4*log(512)^3 - 361584*z^4*l
og(2)^9*log(512)^5 + 279936*z^4*log(2)^11*log(512)^5 - 256608*z^4*log(2)^4*log(512)^5 - 202176*z^4*log(2)^13*l
og(512)^4 + 128304*z^4*log(2)^10*log(512)^5 + 93312*z^4*log(2)^3*log(512)^5 - 55728*z^4*log(2)^6*log(512)^6 +
38880*z^4*log(2)^5*log(512)^6 + 31104*z^4*log(2)^14*log(512)^4 - 31104*z^4*log(2)^3*log(512)^4 - 17496*z^4*log
(2)^4*log(512)^6 + 12960*z^4*log(2)^7*log(512)^6 + 11016*z^4*log(2)^8*log(512)^6 + 10368*z^4*log(2)^3*log(512)
^6 - 576*z^4*log(2)^4*log(512)^7 + 288*z^4*log(2)^5*log(512)^7 + 288*z^4*log(2)^3*log(512)^7 + 4032338112*z^4*
log(2)^7*log(512)^2 + 14166091296*z^4*log(2)^9*log(512) + 3883062240*z^4*log(2)^13*log(512)^2 - 3878810712*z^4
*log(2)^8*log(512)^2 - 7275781584*z^4*log(2)^10*log(512)^2 - 175729824*z^4*log(2)^16*log(512) + 62355744*z^4*l
og(2)^17*log(512) - 62355744*z^4*log(2)^6*log(512) - 25571523744*z^4*log(2)^8*log(512) - 25313597712*z^4*log(2
)^14*log(512) - 7692431328*z^4*log(2)^15*log(512) + 6031501056*z^4*log(2)^9*log(512)^2 + 29020930128*z^4*log(2
)^12*log(512) - 24505807392*z^4*log(2)^10*log(512) - 2865529872*z^4*log(2)^13*log(512) - 2681296992*z^4*log(2)
^7*log(512) + 45618895440*z^4*log(2)^11*log(512) + 856919088*z^4*log(2)^14*log(512)^2 - 20509371072*z^4*log(2)
^10 + 20292543144*z^4*log(2)^16 + 6836457024*z^4*log(2)^8 + 41018742144*z^4*log(2)^11 - 65813653440*z^4*log(2)
^13 - 108669055680*z^4*log(2)^12 + 969348384*z^4*log(2)^17 + 5242134024*z^4*log(2)^14 + 60405709824*z^4*log(2)
^9 - 255091680*z^4*log(2)^18 + 255091680*z^4*log(2)^7 + 60227145648*z^4*log(2)^15 + 1475452481616*z^3*log(2)^8
*log(512) + 22117316976*z^3*log(2)^6*log(512)^3 - 621084672*z^3*log(2)^4*log(512)^4 - 603895824*z^3*log(2)^5*l
og(512)^4 - 309305952*z^3*log(2)^7*log(512)^4 - 465747334128*z^3*log(2)^12*log(512) - 478630408752*z^3*log(2)^
11*log(512) - 66301161984*z^3*log(2)^4*log(512) + 267618816*z^3*log(2)^2*log(512)^3 - 111918902688*z^3*log(2)^
6*log(512)^2 - 197424864*z^3*log(2)^14*log(512)^2 - 49007520720*z^3*log(2)^14*log(512) + 135492912*z^3*log(2)^
6*log(512)^4 - 70267824*z^3*log(2)^8*log(512)^4 + 67524192*z^3*log(2)^12*log(512)^3 - 58032288*z^3*log(2)^10*l
og(512)^4 - 39474864*z^3*log(2)^11*log(512)^4 - 38584512*z^3*log(2)^2*log(512)^4 + 297990542304*z^3*log(2)^7*l
og(512) - 33277392*z^3*log(2)^15*log(512)^2 - 28405728*z^3*log(2)^9*log(512)^4 + 27031968*z^3*log(2)^13*log(51
2)^3 - 23228208*z^3*log(2)^5*log(512)^5 + 19455552*z^3*log(2)^2*log(512)^5 - 18719424*z^3*log(2)^3*log(512)^5
- 16097616*z^3*log(2)^4*log(512)^5 + 5266944*z^3*log(2)^6*log(512)^5 - 5159376*z^3*log(2)^14*log(512)^3 + 4191
264*z^3*log(2)^9*log(512)^5 + 3387744*z^3*log(2)^8*log(512)^5 + 1819584*z^3*log(2)^16*log(512)^2 + 1678320*z^3
*log(2)^10*log(512)^5 + 1363392*z^3*log(2)^2*log(512)^6 - 1127520*z^3*log(2)^12*log(512)^4 - 662256*z^3*log(2)
^7*log(512)^5 + 653520*z^3*log(2)^3*log(512)^6 + 575808*z^3*log(2)^4*log(512)^6 + 373248*z^3*log(2)^13*log(512
)^4 + 346848*z^3*log(2)^6*log(512)^6 + 247824*z^3*log(2)^5*log(512)^6 - 176256*z^3*log(2)^15*log(512)^3 - 1399
68*z^3*log(2)^17*log(512)^2 + 104448*z^3*log(2)^7*log(512)^6 + 20736*z^3*log(2)^16*log(512)^3 + 15120*z^3*log(
2)^2*log(512)^7 + 7200*z^3*log(2)^3*log(512)^7 + 3600*z^3*log(2)^4*log(512)^7 - 1451188224*z^3*log(2)^3*log(51
2) - 4109201280*z^3*log(2)^3*log(512)^3 + 59897625984*z^3*log(2)^10*log(512)^2 - 679901838336*z^3*log(2)^5*log
(512) + 12253218624*z^3*log(2)^9*log(512)^2 + 3509987904*z^3*log(2)^7*log(512)^3 + 764330256*z^3*log(2)^16*log
(512) + 33394965120*z^3*log(2)^12*log(512)^2 - 3213669168*z^3*log(2)^10*log(512)^3 + 11794778064*z^3*log(2)^4*
log(512)^3 - 269372440080*z^3*log(2)^7*log(512)^2 - 322397777232*z^3*log(2)^6*log(512) + 272727648*z^3*log(2)^
15*log(512) - 72907776*z^3*log(2)*log(512)^4 + 17915904*z^3*log(2)*log(512)^3 + 10077696*z^3*log(2)^17*log(512
) - 2519424*z^3*log(2)^18*log(512) + 746496*z^3*log(2)*log(512)^5 + 497664*z^3*log(2)*log(512)^6 + 11520*z^3*l
og(2)*log(512)^7 + 2623933440*z^3*log(2)^8*log(512)^3 + 6439647744*z^3*log(2)^3*log(512)^2 - 2040274656*z^3*lo
g(2)^9*log(512)^3 + 14879943648*z^3*log(2)^5*log(512)^3 + 91606396608*z^3*log(2)^4*log(512)^2 - 1324890432*z^3
*log(2)^11*log(512)^3 + 65631100176*z^3*log(2)^11*log(512)^2 - 56902520736*z^3*log(2)^8*log(512)^2 - 102535891
2*z^3*log(2)^3*log(512)^4 - 247433260896*z^3*log(2)^13*log(512) - 230214572496*z^3*log(2)^10*log(512) - 223683
21072*z^3*log(2)^5*log(512)^2 + 307432398672*z^3*log(2)^9*log(512) + 5147253216*z^3*log(2)^13*log(512)^2 - 633
25092384*z^3*log(2)^8 - 574380488016*z^3*log(2)^10 - 2871198576*z^3*log(2)^17 + 621012191904*z^3*log(2)^14 + 1
149190852752*z^3*log(2)^13 - 3090345948720*z^3*log(2)^9 + 6530347008*z^3*log(2)^4 + 1385010828720*z^3*log(2)^7
+ 134806505040*z^3*log(2)^15 + 182033422848*z^3*log(2)^5 + 735999018192*z^3*log(2)^11 + 1228219200*z^3*log(2)
^16 + 1727359924608*z^3*log(2)^6 + 1259129698128*z^3*log(2)^12 - 109594944*z^3*log(2)^18 + 18895680*z^3*log(2)
^19 + 2985984*z^3*log(512)^5 - 995328*z^3*log(512)^4 + 331776*z^3*log(512)^6 + 9216*z^3*log(512)^7 + 135798241
3056*z^2*log(2)^4*log(512)^2 - 10893864960*z^2*log(2)*log(512)^3 - 26468881920*z^2*log(2)^6*log(512)^3 - 49828
81536*z^2*log(2)^9*log(512)^3 - 517185216*z^2*log(2)^7*log(512)^4 - 506853504*z^2*log(2)^6*log(512)^4 - 802076
6022912*z^2*log(2)^6*log(512) - 326453760*z^2*log(2)^8*log(512)^4 + 38873592576*z^2*log(2)^11*log(512)^2 + 365
229419904*z^2*log(2)^9*log(512)^2 + 386697805056*z^2*log(2)^3*log(512)^2 - 129544704*z^2*log(2)^9*log(512)^4 +
125349120*z^2*log(2)^2*log(512)^5 + 117884160*z^2*log(2)^11*log(512)^3 - 99097344*z^2*log(2)^13*log(512)^2 +
67972608*z^2*log(2)^3*log(512)^5 + 53167104*z^2*log(2)^4*log(512)^5 - 44105472*z^2*log(2)^2*log(512)^4 + 38003
328*z^2*log(2)^5*log(512)^5 - 34689600*z^2*log(2)^10*log(512)^4 + 33860736*z^2*log(2)^6*log(512)^5 + 19813248*
z^2*log(2)^7*log(512)^5 - 7278336*z^2*log(2)^14*log(512)^2 + 6959232*z^2*log(2)^8*log(512)^5 + 3421440*z^2*log
(2)^12*log(512)^3 + 2576448*z^2*log(2)^2*log(512)^6 + 1973760*z^2*log(2)^3*log(512)^6 - 1886976*z^2*log(2)^13*
log(512)^3 + 1387008*z^2*log(2)^9*log(512)^5 + 1100160*z^2*log(2)^4*log(512)^6 + 345600*z^2*log(2)^5*log(512)^
6 + 119808*z^2*log(2)^12*log(512)^4 + 52800*z^2*log(2)^6*log(512)^6 + 13824*z^2*log(2)^11*log(512)^4 - 5408820
375552*z^2*log(2)^8*log(512) + 9877635072*z^2*log(2)*log(512)^2 - 25151109120*z^2*log(2)^4*log(512)^3 + 912031
488*z^2*log(2)^14*log(512) - 9600159336192*z^2*log(2)^5*log(512) + 3571703424*z^2*log(2)^12*log(512)^2 + 62191
2256128*z^2*log(2)^8*log(512)^2 - 2727646835328*z^2*log(2)^10*log(512) - 962379657216*z^2*log(2)^3*log(512) +
240185088*z^2*log(2)^15*log(512) - 2926840320*z^2*log(2)^3*log(512)^4 - 1719926784*z^2*log(2)*log(512) - 30931
2203904*z^2*log(2)^12*log(512) + 67792896*z^2*log(2)*log(512)^5 - 64696320*z^2*log(2)*log(512)^4 + 1889280*z^2
*log(2)*log(512)^6 + 144285779520*z^2*log(2)^10*log(512)^2 - 71194256640*z^2*log(2)^3*log(512)^3 - 81374035968
*z^2*log(2)^2*log(512) - 7352678603520*z^2*log(2)^7*log(512) - 28043304192*z^2*log(2)^7*log(512)^3 - 110304497
7792*z^2*log(2)^11*log(512) + 719124511104*z^2*log(2)^7*log(512)^2 + 152159772672*z^2*log(2)^2*log(512)^2 - 31
891864320*z^2*log(2)^5*log(512)^3 - 14698008576*z^2*log(2)^8*log(512)^3 - 1686042432*z^2*log(2)^4*log(512)^4 -
23079230208*z^2*log(2)^2*log(512)^3 + 993650747904*z^2*log(2)^5*log(512)^2 - 37282436352*z^2*log(2)^13*log(51
2) - 4538392136064*z^2*log(2)^9*log(512) + 937568882880*z^2*log(2)^6*log(512)^2 - 1216365120*z^2*log(2)^5*log(
512)^4 - 2339115542784*z^2*log(2)^4*log(512) - 991595520*z^2*log(2)^10*log(512)^3 + 2318998781952*z^2*log(2)^4
+ 19159376772672*z^2*log(2)^8 + 11410942428288*z^2*log(2)^10 + 7739670528*z^2*log(2)^2 + 2816627852160*z^2*lo
g(2)^12 + 20833560474624*z^2*log(2)^7 + 105993427392*z^2*log(2)^14 - 2766327552*z^2*log(2)^15 + 221548068864*z
^2*log(2)^3 + 796929083136*z^2*log(2)^13 + 24049726142976*z^2*log(2)^6 + 13518283140288*z^2*log(2)^9 + 6890230
350144*z^2*log(2)^11 + 4862916622080*z^2*log(2)^5 - 982575360*z^2*log(2)^16 - 396804096*z^2*log(512)^3 + 29859
8400*z^2*log(512)^4 + 95551488*z^2*log(512)^2 + 35831808*z^2*log(512)^5 + 1019904*z^2*log(512)^6 + 78565817548
8*z*log(2)^2*log(512) + 15238188288*z*log(2)^10*log(512)^2 + 242866957824*z*log(2)^8*log(512)^2 - 109690827264
*z*log(2)^3*log(512)^3 - 2018573568*z*log(2)^8*log(512)^3 + 366904083456*z*log(2)^2*log(512)^2 - 27597853440*z
*log(2)^6*log(512)^3 - 74756328192*z*log(2)^4*log(512)^3 - 5952144384*z*log(2)^7*log(512)^3 - 1940058501120*z*
log(2)^3*log(512) - 11503689984*z*log(2)^12*log(512) - 7845337907712*z*log(2)^7*log(512) - 1029572352*z*log(2)
^5*log(512)^4 + 958934016*z*log(2)^2*log(512)^4 - 854090496*z*log(2)^4*log(512)^4 - 823350528*z*log(2)^3*log(5
12)^4 + 720603648*z*log(2)^11*log(512)^2 - 673574400*z*log(2)^6*log(512)^4 + 60734921472*z*log(2)^9*log(512)^2
+ 1164487249152*z*log(2)^6*log(512)^2 - 491380992*z*log(2)^9*log(512)^3 - 12289940752896*z*log(2)^5*log(512)
- 478689440256*z*log(2)^10*log(512) - 113535696384*z*log(2)^11*log(512) + 16307453952*z*log(2)*log(512) - 1490
66496*z*log(2)^7*log(512)^4 + 134305024*z*log(2)^2*log(512)^5 + 117656320*z*log(2)^3*log(512)^5 + 77220864*z*l
og(2)^10*log(512)^3 + 74749696*z*log(2)^4*log(512)^5 - 62290944*z*log(2)^12*log(512)^2 - 68772374784*z*log(2)^
2*log(512)^3 - 39746304*z*log(2)^8*log(512)^4 + 32734720*z*log(2)^5*log(512)^5 - 10241280*z*log(2)^9*log(512)^
4 + 9675520*z*log(2)^6*log(512)^5 + 2195200*z*log(2)^7*log(512)^5 + 1548288*z*log(2)^11*log(512)^3 + 995328*z*
log(2)^13*log(512)^2 - 663552*z*log(2)^12*log(512)^3 + 313600*z*log(2)^8*log(512)^5 + 55296*z*log(2)^10*log(51
2)^4 + 27648*z*log(2)^11*log(512)^4 - 87372988416*z*log(2)*log(512)^2 - 31432790016*z*log(2)*log(512)^3 - 5464
534855680*z*log(2)^8*log(512) + 708395362560*z*log(2)^7*log(512)^2 - 59830292736*z*log(2)^5*log(512)^3 - 20498
35838976*z*log(2)^9*log(512) + 1084096512*z*log(2)*log(512)^4 - 5464136040192*z*log(2)^4*log(512) - 9629929907
712*z*log(2)^6*log(512) + 491194368*z*log(2)^13*log(512) + 977839858944*z*log(2)^3*log(512)^2 + 1832457074688*
z*log(2)^4*log(512)^2 + 93933568*z*log(2)*log(512)^5 + 67184640*z*log(2)^14*log(512) + 1437118702848*z*log(2)^
5*log(512)^2 + 30306807465984*z*log(2)^6 + 14260753893888*z*log(2)^9 - 61487382528*z*log(2)^2 + 10334955504384
*z*log(2)^5 + 5601781380096*z*log(2)^10 - 1052835840*z*log(512)^2 + 1008009216*z*log(512)^4 - 866681856*z*log(
2)^14 + 22231542942720*z*log(2)^7 - 2293235712*z*log(2) + 4042251205632*z*log(2)^4 - 382952448*z*log(2)^15 + 4
5039616*z*log(512)^5 + 1266911953920*z*log(2)^11 - 2392041922560*z*log(2)^3 + 3289890816*z*log(512)^3 + 375455
76192*z*log(2)^13 + 254803968*z*log(512) + 18557057097216*z*log(2)^8 + 276895895040*z*log(2)^12 - 45158400*log
(2)^8*log(512)^3 - 7962624*log(2)^10*log(512)^2 - 3981312*log(2)^11*log(512)^2 + 420850612224*log(2)^4*log(512
)^2 - 3360145047552*log(2)^5*log(512) - 16942510080*log(2)^3*log(512)^3 - 5549908451328*log(2)^4*log(512) - 17
988397056*log(2)^10*log(512) - 13526433792*log(2)*log(512)^3 + 7620120576*log(2)^8*log(512)^2 + 565890306048*l
og(2)^3*log(512)^2 - 1580963401728*log(2)^2*log(512) + 346595742720*log(2)^2*log(512)^2 + 32898299904*log(2)^7
*log(512)^2 + 104509440*log(2)^12*log(512) - 100528128*log(2)^11*log(512) - 1344195274752*log(2)^7*log(512) -
2916012275712*log(2)^3*log(512) - 10763956224*log(2)^4*log(512)^3 - 19339923456*log(2)^2*log(512)^3 + 15763507
20*log(2)^9*log(512)^2 - 1393274880*log(2)^6*log(512)^3 - 50234535936*log(2)^9*log(512) + 143079367680*log(2)^
6*log(512)^2 + 289048200192*log(2)^5*log(512)^2 - 64513179648*log(2)*log(512) + 174375714816*log(2)*log(512)^2
- 2699548342272*log(2)^6*log(512) - 4713799680*log(2)^5*log(512)^3 - 294051078144*log(2)^8*log(512) - 3161088
00*log(2)^7*log(512)^3 + 4791794651136*log(2)^3 + 18050171756544*log(2)^5 + 8704281212928*log(2)^6 + 255301632
0*log(2)^12 - 6485704704*log(512)^3 + 272608395264*log(2)^2 + 7665352704*log(2) + 929048942592*log(2)^9 - 6897
62304*log(2)^13 + 90815385600*log(2)^10 + 4076454159360*log(2)^8 + 60658025472*log(2)^11 + 8125778912256*log(2
)^4 + 3947692032*log(512)^2 - 1082916864*log(512) + 8542021100544*log(2)^7 + 169869312, z, k)*(root(266783382*
z^5*log(2)^12*log(512)^3 - 211631616*z^5*log(2)^8*log(512)^4 - 178682274*z^5*log(2)^9*log(512)^4 - 125892468*z
^5*log(2)^6*log(512)^4 + 123294312*z^5*log(2)^6*log(512)^3 + 68221278*z^5*log(2)^7*log(512)^4 - 52278048*z^5*l
og(2)^10*log(512)^4 + 38263752*z^5*log(2)^14*log(512)^2 + 29760696*z^5*log(2)^15*log(512)^2 - 29760696*z^5*log
(2)^6*log(512)^2 + 26985393*z^5*log(2)^11*log(512)^4 - 17006112*z^5*log(2)^13*log(512)^3 - 12837690*z^5*log(2)
^6*log(512)^5 + 6613488*z^5*log(2)^5*log(512)^4 - 5821794*z^5*log(2)^9*log(512)^5 - 4776408*z^5*log(2)^8*log(5
12)^5 - 3418281*z^5*log(2)^10*log(512)^5 - 34362443619*z^5*log(2)^9*log(512)^2 + 2230740*z^5*log(2)^5*log(512)
^5 + 1653372*z^5*log(2)^12*log(512)^4 - 1076004*z^5*log(2)^4*log(512)^5 + 944784*z^5*log(2)^14*log(512)^3 - 94
4784*z^5*log(2)^5*log(512)^3 - 761076*z^5*log(2)^7*log(512)^5 + 373977*z^5*log(2)^5*log(512)^6 - 288684*z^5*lo
g(2)^13*log(512)^4 + 288684*z^5*log(2)^4*log(512)^4 + 258066*z^5*log(2)^8*log(512)^6 + 238383*z^5*log(2)^7*log
(512)^6 + 104976*z^5*log(2)^9*log(512)^6 - 74358*z^5*log(2)^6*log(512)^6 - 61236*z^5*log(2)^4*log(512)^6 - 524
88*z^5*log(2)^11*log(512)^5 + 34992*z^5*log(2)^3*log(512)^6 + 13122*z^5*log(2)^5*log(512)^7 + 11664*z^5*log(2)
^12*log(512)^5 - 11664*z^5*log(2)^3*log(512)^5 + 4131*z^5*log(2)^6*log(512)^7 + 3888*z^5*log(2)^3*log(512)^7 +
243*z^5*log(2)^4*log(512)^7 + 108*z^5*log(2)^3*log(512)^8 - 34096191678*z^5*log(2)^12*log(512)^2 + 3619368301
68*z^5*log(2)^11*log(512) + 198474081624*z^5*log(2)^10*log(512) + 176807232054*z^5*log(2)^13*log(512) + 344373
768*z^5*log(2)^15*log(512) - 306110016*z^5*log(2)^16*log(512) + 306110016*z^5*log(2)^7*log(512) + 34566516963*
z^5*log(2)^14*log(512) + 2835060588*z^5*log(2)^11*log(512)^3 + 2725229448*z^5*log(2)^7*log(512)^3 + 3306849107
22*z^5*log(2)^12*log(512) + 133100461332*z^5*log(2)^9*log(512) - 2142770112*z^5*log(2)^7*log(512)^2 - 70816639
014*z^5*log(2)^10*log(512)^2 + 2077048575*z^5*log(2)^8*log(512)^3 + 12225268764*z^5*log(2)^8*log(512) + 630607
8906*z^5*log(2)^9*log(512)^3 - 27454242060*z^5*log(2)^8*log(512)^2 + 5877206019*z^5*log(2)^10*log(512)^3 - 572
9996862*z^5*log(2)^13*log(512)^2 - 65607985773*z^5*log(2)^11*log(512)^2 - 708204653892*z^5*log(2)^12 - 7244763
1443*z^5*log(2)^15 - 252598158828*z^5*log(2)^10 - 24794911296*z^5*log(2)^9 - 411182278992*z^5*log(2)^11 - 3466
12197492*z^5*log(2)^14 - 638468965872*z^5*log(2)^13 - 1549681956*z^5*log(2)^16 + 860934420*z^5*log(2)^17 - 860
934420*z^5*log(2)^8 - 774932832*z^4*log(2)^8*log(512)^3 + 613637208*z^4*log(2)^12*log(512)^2 + 571699296*z^4*l
og(2)^9*log(512)^3 + 532018368*z^4*log(2)^7*log(512)^3 + 319336992*z^4*log(2)^6*log(512)^2 - 286094592*z^4*log
(2)^6*log(512)^3 - 4568975424*z^4*log(2)^11*log(512)^2 + 266639040*z^4*log(2)^10*log(512)^3 - 245433888*z^4*lo
g(2)^12*log(512)^3 - 72223488*z^4*log(2)^11*log(512)^3 + 54330912*z^4*log(2)^7*log(512)^4 - 37663056*z^4*log(2
)^6*log(512)^4 - 29160000*z^4*log(2)^8*log(512)^4 - 13226976*z^4*log(2)^15*log(512)^2 + 9346752*z^4*log(2)^5*l
og(512)^4 - 6284952*z^4*log(2)^12*log(512)^4 + 5942808*z^4*log(2)^10*log(512)^4 + 5808672*z^4*log(2)^13*log(51
2)^3 + 4129056*z^4*log(2)^14*log(512)^3 + 3720816*z^4*log(2)^11*log(512)^4 - 2006208*z^4*log(2)^6*log(512)^5 -
1967328*z^4*log(2)^4*log(512)^4 + 1936224*z^4*log(2)^9*log(512)^4 - 1889568*z^4*log(2)^16*log(512)^2 + 188956
8*z^4*log(2)^5*log(512)^2 - 1609632*z^4*log(2)^5*log(512)^3 + 1527984*z^4*log(2)^7*log(512)^5 + 1259712*z^4*lo
g(2)^5*log(512)^5 - 664848*z^4*log(2)^8*log(512)^5 - 489888*z^4*log(2)^15*log(512)^3 + 489888*z^4*log(2)^4*log
(512)^3 - 361584*z^4*log(2)^9*log(512)^5 + 279936*z^4*log(2)^11*log(512)^5 - 256608*z^4*log(2)^4*log(512)^5 -
202176*z^4*log(2)^13*log(512)^4 + 128304*z^4*log(2)^10*log(512)^5 + 93312*z^4*log(2)^3*log(512)^5 - 55728*z^4*
log(2)^6*log(512)^6 + 38880*z^4*log(2)^5*log(512)^6 + 31104*z^4*log(2)^14*log(512)^4 - 31104*z^4*log(2)^3*log(
512)^4 - 17496*z^4*log(2)^4*log(512)^6 + 12960*z^4*log(2)^7*log(512)^6 + 11016*z^4*log(2)^8*log(512)^6 + 10368
*z^4*log(2)^3*log(512)^6 - 576*z^4*log(2)^4*log(512)^7 + 288*z^4*log(2)^5*log(512)^7 + 288*z^4*log(2)^3*log(51
2)^7 + 4032338112*z^4*log(2)^7*log(512)^2 + 14166091296*z^4*log(2)^9*log(512) + 3883062240*z^4*log(2)^13*log(5
12)^2 - 3878810712*z^4*log(2)^8*log(512)^2 - 7275781584*z^4*log(2)^10*log(512)^2 - 175729824*z^4*log(2)^16*log
(512) + 62355744*z^4*log(2)^17*log(512) - 62355744*z^4*log(2)^6*log(512) - 25571523744*z^4*log(2)^8*log(512) -
25313597712*z^4*log(2)^14*log(512) - 7692431328*z^4*log(2)^15*log(512) + 6031501056*z^4*log(2)^9*log(512)^2 +
29020930128*z^4*log(2)^12*log(512) - 24505807392*z^4*log(2)^10*log(512) - 2865529872*z^4*log(2)^13*log(512) -
2681296992*z^4*log(2)^7*log(512) + 45618895440*z^4*log(2)^11*log(512) + 856919088*z^4*log(2)^14*log(512)^2 -
20509371072*z^4*log(2)^10 + 20292543144*z^4*log(2)^16 + 6836457024*z^4*log(2)^8 + 41018742144*z^4*log(2)^11 -
65813653440*z^4*log(2)^13 - 108669055680*z^4*log(2)^12 + 969348384*z^4*log(2)^17 + 5242134024*z^4*log(2)^14 +
60405709824*z^4*log(2)^9 - 255091680*z^4*log(2)^18 + 255091680*z^4*log(2)^7 + 60227145648*z^4*log(2)^15 + 1475
452481616*z^3*log(2)^8*log(512) + 22117316976*z^3*log(2)^6*log(512)^3 - 621084672*z^3*log(2)^4*log(512)^4 - 60
3895824*z^3*log(2)^5*log(512)^4 - 309305952*z^3*log(2)^7*log(512)^4 - 465747334128*z^3*log(2)^12*log(512) - 47
8630408752*z^3*log(2)^11*log(512) - 66301161984*z^3*log(2)^4*log(512) + 267618816*z^3*log(2)^2*log(512)^3 - 11
1918902688*z^3*log(2)^6*log(512)^2 - 197424864*z^3*log(2)^14*log(512)^2 - 49007520720*z^3*log(2)^14*log(512) +
135492912*z^3*log(2)^6*log(512)^4 - 70267824*z^3*log(2)^8*log(512)^4 + 67524192*z^3*log(2)^12*log(512)^3 - 58
032288*z^3*log(2)^10*log(512)^4 - 39474864*z^3*log(2)^11*log(512)^4 - 38584512*z^3*log(2)^2*log(512)^4 + 29799
0542304*z^3*log(2)^7*log(512) - 33277392*z^3*log(2)^15*log(512)^2 - 28405728*z^3*log(2)^9*log(512)^4 + 2703196
8*z^3*log(2)^13*log(512)^3 - 23228208*z^3*log(2)^5*log(512)^5 + 19455552*z^3*log(2)^2*log(512)^5 - 18719424*z^
3*log(2)^3*log(512)^5 - 16097616*z^3*log(2)^4*log(512)^5 + 5266944*z^3*log(2)^6*log(512)^5 - 5159376*z^3*log(2
)^14*log(512)^3 + 4191264*z^3*log(2)^9*log(512)^5 + 3387744*z^3*log(2)^8*log(512)^5 + 1819584*z^3*log(2)^16*lo
g(512)^2 + 1678320*z^3*log(2)^10*log(512)^5 + 1363392*z^3*log(2)^2*log(512)^6 - 1127520*z^3*log(2)^12*log(512)
^4 - 662256*z^3*log(2)^7*log(512)^5 + 653520*z^3*log(2)^3*log(512)^6 + 575808*z^3*log(2)^4*log(512)^6 + 373248
*z^3*log(2)^13*log(512)^4 + 346848*z^3*log(2)^6*log(512)^6 + 247824*z^3*log(2)^5*log(512)^6 - 176256*z^3*log(2
)^15*log(512)^3 - 139968*z^3*log(2)^17*log(512)^2 + 104448*z^3*log(2)^7*log(512)^6 + 20736*z^3*log(2)^16*log(5
12)^3 + 15120*z^3*log(2)^2*log(512)^7 + 7200*z^3*log(2)^3*log(512)^7 + 3600*z^3*log(2)^4*log(512)^7 - 14511882
24*z^3*log(2)^3*log(512) - 4109201280*z^3*log(2)^3*log(512)^3 + 59897625984*z^3*log(2)^10*log(512)^2 - 6799018
38336*z^3*log(2)^5*log(512) + 12253218624*z^3*log(2)^9*log(512)^2 + 3509987904*z^3*log(2)^7*log(512)^3 + 76433
0256*z^3*log(2)^16*log(512) + 33394965120*z^3*log(2)^12*log(512)^2 - 3213669168*z^3*log(2)^10*log(512)^3 + 117
94778064*z^3*log(2)^4*log(512)^3 - 269372440080*z^3*log(2)^7*log(512)^2 - 322397777232*z^3*log(2)^6*log(512) +
272727648*z^3*log(2)^15*log(512) - 72907776*z^3*log(2)*log(512)^4 + 17915904*z^3*log(2)*log(512)^3 + 10077696
*z^3*log(2)^17*log(512) - 2519424*z^3*log(2)^18*log(512) + 746496*z^3*log(2)*log(512)^5 + 497664*z^3*log(2)*lo
g(512)^6 + 11520*z^3*log(2)*log(512)^7 + 2623933440*z^3*log(2)^8*log(512)^3 + 6439647744*z^3*log(2)^3*log(512)
^2 - 2040274656*z^3*log(2)^9*log(512)^3 + 14879943648*z^3*log(2)^5*log(512)^3 + 91606396608*z^3*log(2)^4*log(5
12)^2 - 1324890432*z^3*log(2)^11*log(512)^3 + 65631100176*z^3*log(2)^11*log(512)^2 - 56902520736*z^3*log(2)^8*
log(512)^2 - 1025358912*z^3*log(2)^3*log(512)^4 - 247433260896*z^3*log(2)^13*log(512) - 230214572496*z^3*log(2
)^10*log(512) - 22368321072*z^3*log(2)^5*log(512)^2 + 307432398672*z^3*log(2)^9*log(512) + 5147253216*z^3*log(
2)^13*log(512)^2 - 63325092384*z^3*log(2)^8 - 574380488016*z^3*log(2)^10 - 2871198576*z^3*log(2)^17 + 62101219
1904*z^3*log(2)^14 + 1149190852752*z^3*log(2)^13 - 3090345948720*z^3*log(2)^9 + 6530347008*z^3*log(2)^4 + 1385
010828720*z^3*log(2)^7 + 134806505040*z^3*log(2)^15 + 182033422848*z^3*log(2)^5 + 735999018192*z^3*log(2)^11 +
1228219200*z^3*log(2)^16 + 1727359924608*z^3*log(2)^6 + 1259129698128*z^3*log(2)^12 - 109594944*z^3*log(2)^18
+ 18895680*z^3*log(2)^19 + 2985984*z^3*log(512)^5 - 995328*z^3*log(512)^4 + 331776*z^3*log(512)^6 + 9216*z^3*
log(512)^7 + 1357982413056*z^2*log(2)^4*log(512)^2 - 10893864960*z^2*log(2)*log(512)^3 - 26468881920*z^2*log(2
)^6*log(512)^3 - 4982881536*z^2*log(2)^9*log(512)^3 - 517185216*z^2*log(2)^7*log(512)^4 - 506853504*z^2*log(2)
^6*log(512)^4 - 8020766022912*z^2*log(2)^6*log(512) - 326453760*z^2*log(2)^8*log(512)^4 + 38873592576*z^2*log(
2)^11*log(512)^2 + 365229419904*z^2*log(2)^9*log(512)^2 + 386697805056*z^2*log(2)^3*log(512)^2 - 129544704*z^2
*log(2)^9*log(512)^4 + 125349120*z^2*log(2)^2*log(512)^5 + 117884160*z^2*log(2)^11*log(512)^3 - 99097344*z^2*l
og(2)^13*log(512)^2 + 67972608*z^2*log(2)^3*log(512)^5 + 53167104*z^2*log(2)^4*log(512)^5 - 44105472*z^2*log(2
)^2*log(512)^4 + 38003328*z^2*log(2)^5*log(512)^5 - 34689600*z^2*log(2)^10*log(512)^4 + 33860736*z^2*log(2)^6*
log(512)^5 + 19813248*z^2*log(2)^7*log(512)^5 - 7278336*z^2*log(2)^14*log(512)^2 + 6959232*z^2*log(2)^8*log(51
2)^5 + 3421440*z^2*log(2)^12*log(512)^3 + 2576448*z^2*log(2)^2*log(512)^6 + 1973760*z^2*log(2)^3*log(512)^6 -
1886976*z^2*log(2)^13*log(512)^3 + 1387008*z^2*log(2)^9*log(512)^5 + 1100160*z^2*log(2)^4*log(512)^6 + 345600*
z^2*log(2)^5*log(512)^6 + 119808*z^2*log(2)^12*log(512)^4 + 52800*z^2*log(2)^6*log(512)^6 + 13824*z^2*log(2)^1
1*log(512)^4 - 5408820375552*z^2*log(2)^8*log(512) + 9877635072*z^2*log(2)*log(512)^2 - 25151109120*z^2*log(2)
^4*log(512)^3 + 912031488*z^2*log(2)^14*log(512) - 9600159336192*z^2*log(2)^5*log(512) + 3571703424*z^2*log(2)
^12*log(512)^2 + 621912256128*z^2*log(2)^8*log(512)^2 - 2727646835328*z^2*log(2)^10*log(512) - 962379657216*z^
2*log(2)^3*log(512) + 240185088*z^2*log(2)^15*log(512) - 2926840320*z^2*log(2)^3*log(512)^4 - 1719926784*z^2*l
og(2)*log(512) - 309312203904*z^2*log(2)^12*log(512) + 67792896*z^2*log(2)*log(512)^5 - 64696320*z^2*log(2)*lo
g(512)^4 + 1889280*z^2*log(2)*log(512)^6 + 144285779520*z^2*log(2)^10*log(512)^2 - 71194256640*z^2*log(2)^3*lo
g(512)^3 - 81374035968*z^2*log(2)^2*log(512) - 7352678603520*z^2*log(2)^7*log(512) - 28043304192*z^2*log(2)^7*
log(512)^3 - 1103044977792*z^2*log(2)^11*log(512) + 719124511104*z^2*log(2)^7*log(512)^2 + 152159772672*z^2*lo
g(2)^2*log(512)^2 - 31891864320*z^2*log(2)^5*log(512)^3 - 14698008576*z^2*log(2)^8*log(512)^3 - 1686042432*z^2
*log(2)^4*log(512)^4 - 23079230208*z^2*log(2)^2*log(512)^3 + 993650747904*z^2*log(2)^5*log(512)^2 - 3728243635
2*z^2*log(2)^13*log(512) - 4538392136064*z^2*log(2)^9*log(512) + 937568882880*z^2*log(2)^6*log(512)^2 - 121636
5120*z^2*log(2)^5*log(512)^4 - 2339115542784*z^2*log(2)^4*log(512) - 991595520*z^2*log(2)^10*log(512)^3 + 2318
998781952*z^2*log(2)^4 + 19159376772672*z^2*log(2)^8 + 11410942428288*z^2*log(2)^10 + 7739670528*z^2*log(2)^2
+ 2816627852160*z^2*log(2)^12 + 20833560474624*z^2*log(2)^7 + 105993427392*z^2*log(2)^14 - 2766327552*z^2*log(
2)^15 + 221548068864*z^2*log(2)^3 + 796929083136*z^2*log(2)^13 + 24049726142976*z^2*log(2)^6 + 13518283140288*
z^2*log(2)^9 + 6890230350144*z^2*log(2)^11 + 4862916622080*z^2*log(2)^5 - 982575360*z^2*log(2)^16 - 396804096*
z^2*log(512)^3 + 298598400*z^2*log(512)^4 + 95551488*z^2*log(512)^2 + 35831808*z^2*log(512)^5 + 1019904*z^2*lo
g(512)^6 + 785658175488*z*log(2)^2*log(512) + 15238188288*z*log(2)^10*log(512)^2 + 242866957824*z*log(2)^8*log
(512)^2 - 109690827264*z*log(2)^3*log(512)^3 - 2018573568*z*log(2)^8*log(512)^3 + 366904083456*z*log(2)^2*log(
512)^2 - 27597853440*z*log(2)^6*log(512)^3 - 74756328192*z*log(2)^4*log(512)^3 - 5952144384*z*log(2)^7*log(512
)^3 - 1940058501120*z*log(2)^3*log(512) - 11503689984*z*log(2)^12*log(512) - 7845337907712*z*log(2)^7*log(512)
- 1029572352*z*log(2)^5*log(512)^4 + 958934016*z*log(2)^2*log(512)^4 - 854090496*z*log(2)^4*log(512)^4 - 8233
50528*z*log(2)^3*log(512)^4 + 720603648*z*log(2)^11*log(512)^2 - 673574400*z*log(2)^6*log(512)^4 + 60734921472
*z*log(2)^9*log(512)^2 + 1164487249152*z*log(2)^6*log(512)^2 - 491380992*z*log(2)^9*log(512)^3 - 1228994075289
6*z*log(2)^5*log(512) - 478689440256*z*log(2)^10*log(512) - 113535696384*z*log(2)^11*log(512) + 16307453952*z*
log(2)*log(512) - 149066496*z*log(2)^7*log(512)^4 + 134305024*z*log(2)^2*log(512)^5 + 117656320*z*log(2)^3*log
(512)^5 + 77220864*z*log(2)^10*log(512)^3 + 74749696*z*log(2)^4*log(512)^5 - 62290944*z*log(2)^12*log(512)^2 -
68772374784*z*log(2)^2*log(512)^3 - 39746304*z*log(2)^8*log(512)^4 + 32734720*z*log(2)^5*log(512)^5 - 1024128
0*z*log(2)^9*log(512)^4 + 9675520*z*log(2)^6*log(512)^5 + 2195200*z*log(2)^7*log(512)^5 + 1548288*z*log(2)^11*
log(512)^3 + 995328*z*log(2)^13*log(512)^2 - 663552*z*log(2)^12*log(512)^3 + 313600*z*log(2)^8*log(512)^5 + 55
296*z*log(2)^10*log(512)^4 + 27648*z*log(2)^11*log(512)^4 - 87372988416*z*log(2)*log(512)^2 - 31432790016*z*lo
g(2)*log(512)^3 - 5464534855680*z*log(2)^8*log(512) + 708395362560*z*log(2)^7*log(512)^2 - 59830292736*z*log(2
)^5*log(512)^3 - 2049835838976*z*log(2)^9*log(512) + 1084096512*z*log(2)*log(512)^4 - 5464136040192*z*log(2)^4
*log(512) - 9629929907712*z*log(2)^6*log(512) + 491194368*z*log(2)^13*log(512) + 977839858944*z*log(2)^3*log(5
12)^2 + 1832457074688*z*log(2)^4*log(512)^2 + 93933568*z*log(2)*log(512)^5 + 67184640*z*log(2)^14*log(512) + 1
437118702848*z*log(2)^5*log(512)^2 + 30306807465984*z*log(2)^6 + 14260753893888*z*log(2)^9 - 61487382528*z*log
(2)^2 + 10334955504384*z*log(2)^5 + 5601781380096*z*log(2)^10 - 1052835840*z*log(512)^2 + 1008009216*z*log(512
)^4 - 866681856*z*log(2)^14 + 22231542942720*z*log(2)^7 - 2293235712*z*log(2) + 4042251205632*z*log(2)^4 - 382
952448*z*log(2)^15 + 45039616*z*log(512)^5 + 1266911953920*z*log(2)^11 - 2392041922560*z*log(2)^3 + 3289890816
*z*log(512)^3 + 37545576192*z*log(2)^13 + 254803968*z*log(512) + 18557057097216*z*log(2)^8 + 276895895040*z*lo
g(2)^12 - 45158400*log(2)^8*log(512)^3 - 7962624*log(2)^10*log(512)^2 - 3981312*log(2)^11*log(512)^2 + 4208506
12224*log(2)^4*log(512)^2 - 3360145047552*log(2)^5*log(512) - 16942510080*log(2)^3*log(512)^3 - 5549908451328*
log(2)^4*log(512) - 17988397056*log(2)^10*log(512) - 13526433792*log(2)*log(512)^3 + 7620120576*log(2)^8*log(5
12)^2 + 565890306048*log(2)^3*log(512)^2 - 1580963401728*log(2)^2*log(512) + 346595742720*log(2)^2*log(512)^2
+ 32898299904*log(2)^7*log(512)^2 + 104509440*log(2)^12*log(512) - 100528128*log(2)^11*log(512) - 134419527475
2*log(2)^7*log(512) - 2916012275712*log(2)^3*log(512) - 10763956224*log(2)^4*log(512)^3 - 19339923456*log(2)^2
*log(512)^3 + 1576350720*log(2)^9*log(512)^2 - 1393274880*log(2)^6*log(512)^3 - 50234535936*log(2)^9*log(512)
+ 143079367680*log(2)^6*log(512)^2 + 289048200192*log(2)^5*log(512)^2 - 64513179648*log(2)*log(512) + 17437571
4816*log(2)*log(512)^2 - 2699548342272*log(2)^6*log(512) - 4713799680*log(2)^5*log(512)^3 - 294051078144*log(2
)^8*log(512) - 316108800*log(2)^7*log(512)^3 + 4791794651136*log(2)^3 + 18050171756544*log(2)^5 + 870428121292
8*log(2)^6 + 2553016320*log(2)^12 - 6485704704*log(512)^3 + 272608395264*log(2)^2 + 7665352704*log(2) + 929048
942592*log(2)^9 - 689762304*log(2)^13 + 90815385600*log(2)^10 + 4076454159360*log(2)^8 + 60658025472*log(2)^11
+ 8125778912256*log(2)^4 + 3947692032*log(512)^2 - 1082916864*log(512) + 8542021100544*log(2)^7 + 169869312,
z, k)*(root(266783382*z^5*log(2)^12*log(512)^3 - 211631616*z^5*log(2)^8*log(512)^4 - 178682274*z^5*log(2)^9*lo
g(512)^4 - 125892468*z^5*log(2)^6*log(512)^4 + 123294312*z^5*log(2)^6*log(512)^3 + 68221278*z^5*log(2)^7*log(5
12)^4 - 52278048*z^5*log(2)^10*log(512)^4 + 38263752*z^5*log(2)^14*log(512)^2 + 29760696*z^5*log(2)^15*log(512
)^2 - 29760696*z^5*log(2)^6*log(512)^2 + 26985393*z^5*log(2)^11*log(512)^4 - 17006112*z^5*log(2)^13*log(512)^3
- 12837690*z^5*log(2)^6*log(512)^5 + 6613488*z^5*log(2)^5*log(512)^4 - 5821794*z^5*log(2)^9*log(512)^5 - 4776
408*z^5*log(2)^8*log(512)^5 - 3418281*z^5*log(2)^10*log(512)^5 - 34362443619*z^5*log(2)^9*log(512)^2 + 2230740
*z^5*log(2)^5*log(512)^5 + 1653372*z^5*log(2)^12*log(512)^4 - 1076004*z^5*log(2)^4*log(512)^5 + 944784*z^5*log
(2)^14*log(512)^3 - 944784*z^5*log(2)^5*log(512)^3 - 761076*z^5*log(2)^7*log(512)^5 + 373977*z^5*log(2)^5*log(
512)^6 - 288684*z^5*log(2)^13*log(512)^4 + 288684*z^5*log(2)^4*log(512)^4 + 258066*z^5*log(2)^8*log(512)^6 + 2
38383*z^5*log(2)^7*log(512)^6 + 104976*z^5*log(2)^9*log(512)^6 - 74358*z^5*log(2)^6*log(512)^6 - 61236*z^5*log
(2)^4*log(512)^6 - 52488*z^5*log(2)^11*log(512)^5 + 34992*z^5*log(2)^3*log(512)^6 + 13122*z^5*log(2)^5*log(512
)^7 + 11664*z^5*log(2)^12*log(512)^5 - 11664*z^5*log(2)^3*log(512)^5 + 4131*z^5*log(2)^6*log(512)^7 + 3888*z^5
*log(2)^3*log(512)^7 + 243*z^5*log(2)^4*log(512)^7 + 108*z^5*log(2)^3*log(512)^8 - 34096191678*z^5*log(2)^12*l
og(512)^2 + 361936830168*z^5*log(2)^11*log(512) + 198474081624*z^5*log(2)^10*log(512) + 176807232054*z^5*log(2
)^13*log(512) + 344373768*z^5*log(2)^15*log(512) - 306110016*z^5*log(2)^16*log(512) + 306110016*z^5*log(2)^7*l
og(512) + 34566516963*z^5*log(2)^14*log(512) + 2835060588*z^5*log(2)^11*log(512)^3 + 2725229448*z^5*log(2)^7*l
og(512)^3 + 330684910722*z^5*log(2)^12*log(512) + 133100461332*z^5*log(2)^9*log(512) - 2142770112*z^5*log(2)^7
*log(512)^2 - 70816639014*z^5*log(2)^10*log(512)^2 + 2077048575*z^5*log(2)^8*log(512)^3 + 12225268764*z^5*log(
2)^8*log(512) + 6306078906*z^5*log(2)^9*log(512)^3 - 27454242060*z^5*log(2)^8*log(512)^2 + 5877206019*z^5*log(
2)^10*log(512)^3 - 5729996862*z^5*log(2)^13*log(512)^2 - 65607985773*z^5*log(2)^11*log(512)^2 - 708204653892*z
^5*log(2)^12 - 72447631443*z^5*log(2)^15 - 252598158828*z^5*log(2)^10 - 24794911296*z^5*log(2)^9 - 41118227899
2*z^5*log(2)^11 - 346612197492*z^5*log(2)^14 - 638468965872*z^5*log(2)^13 - 1549681956*z^5*log(2)^16 + 8609344
20*z^5*log(2)^17 - 860934420*z^5*log(2)^8 - 774932832*z^4*log(2)^8*log(512)^3 + 613637208*z^4*log(2)^12*log(51
2)^2 + 571699296*z^4*log(2)^9*log(512)^3 + 532018368*z^4*log(2)^7*log(512)^3 + 319336992*z^4*log(2)^6*log(512)
^2 - 286094592*z^4*log(2)^6*log(512)^3 - 4568975424*z^4*log(2)^11*log(512)^2 + 266639040*z^4*log(2)^10*log(512
)^3 - 245433888*z^4*log(2)^12*log(512)^3 - 72223488*z^4*log(2)^11*log(512)^3 + 54330912*z^4*log(2)^7*log(512)^
4 - 37663056*z^4*log(2)^6*log(512)^4 - 29160000*z^4*log(2)^8*log(512)^4 - 13226976*z^4*log(2)^15*log(512)^2 +
9346752*z^4*log(2)^5*log(512)^4 - 6284952*z^4*log(2)^12*log(512)^4 + 5942808*z^4*log(2)^10*log(512)^4 + 580867
2*z^4*log(2)^13*log(512)^3 + 4129056*z^4*log(2)^14*log(512)^3 + 3720816*z^4*log(2)^11*log(512)^4 - 2006208*z^4
*log(2)^6*log(512)^5 - 1967328*z^4*log(2)^4*log(512)^4 + 1936224*z^4*log(2)^9*log(512)^4 - 1889568*z^4*log(2)^
16*log(512)^2 + 1889568*z^4*log(2)^5*log(512)^2 - 1609632*z^4*log(2)^5*log(512)^3 + 1527984*z^4*log(2)^7*log(5
12)^5 + 1259712*z^4*log(2)^5*log(512)^5 - 664848*z^4*log(2)^8*log(512)^5 - 489888*z^4*log(2)^15*log(512)^3 + 4
89888*z^4*log(2)^4*log(512)^3 - 361584*z^4*log(2)^9*log(512)^5 + 279936*z^4*log(2)^11*log(512)^5 - 256608*z^4*
log(2)^4*log(512)^5 - 202176*z^4*log(2)^13*log(512)^4 + 128304*z^4*log(2)^10*log(512)^5 + 93312*z^4*log(2)^3*l
og(512)^5 - 55728*z^4*log(2)^6*log(512)^6 + 38880*z^4*log(2)^5*log(512)^6 + 31104*z^4*log(2)^14*log(512)^4 - 3
1104*z^4*log(2)^3*log(512)^4 - 17496*z^4*log(2)^4*log(512)^6 + 12960*z^4*log(2)^7*log(512)^6 + 11016*z^4*log(2
)^8*log(512)^6 + 10368*z^4*log(2)^3*log(512)^6 - 576*z^4*log(2)^4*log(512)^7 + 288*z^4*log(2)^5*log(512)^7 + 2
88*z^4*log(2)^3*log(512)^7 + 4032338112*z^4*log(2)^7*log(512)^2 + 14166091296*z^4*log(2)^9*log(512) + 38830622
40*z^4*log(2)^13*log(512)^2 - 3878810712*z^4*log(2)^8*log(512)^2 - 7275781584*z^4*log(2)^10*log(512)^2 - 17572
9824*z^4*log(2)^16*log(512) + 62355744*z^4*log(2)^17*log(512) - 62355744*z^4*log(2)^6*log(512) - 25571523744*z
^4*log(2)^8*log(512) - 25313597712*z^4*log(2)^14*log(512) - 7692431328*z^4*log(2)^15*log(512) + 6031501056*z^4
*log(2)^9*log(512)^2 + 29020930128*z^4*log(2)^12*log(512) - 24505807392*z^4*log(2)^10*log(512) - 2865529872*z^
4*log(2)^13*log(512) - 2681296992*z^4*log(2)^7*log(512) + 45618895440*z^4*log(2)^11*log(512) + 856919088*z^4*l
og(2)^14*log(512)^2 - 20509371072*z^4*log(2)^10 + 20292543144*z^4*log(2)^16 + 6836457024*z^4*log(2)^8 + 410187
42144*z^4*log(2)^11 - 65813653440*z^4*log(2)^13 - 108669055680*z^4*log(2)^12 + 969348384*z^4*log(2)^17 + 52421
34024*z^4*log(2)^14 + 60405709824*z^4*log(2)^9 - 255091680*z^4*log(2)^18 + 255091680*z^4*log(2)^7 + 6022714564
8*z^4*log(2)^15 + 1475452481616*z^3*log(2)^8*log(512) + 22117316976*z^3*log(2)^6*log(512)^3 - 621084672*z^3*lo
g(2)^4*log(512)^4 - 603895824*z^3*log(2)^5*log(512)^4 - 309305952*z^3*log(2)^7*log(512)^4 - 465747334128*z^3*l
og(2)^12*log(512) - 478630408752*z^3*log(2)^11*log(512) - 66301161984*z^3*log(2)^4*log(512) + 267618816*z^3*lo
g(2)^2*log(512)^3 - 111918902688*z^3*log(2)^6*log(512)^2 - 197424864*z^3*log(2)^14*log(512)^2 - 49007520720*z^
3*log(2)^14*log(512) + 135492912*z^3*log(2)^6*log(512)^4 - 70267824*z^3*log(2)^8*log(512)^4 + 67524192*z^3*log
(2)^12*log(512)^3 - 58032288*z^3*log(2)^10*log(512)^4 - 39474864*z^3*log(2)^11*log(512)^4 - 38584512*z^3*log(2
)^2*log(512)^4 + 297990542304*z^3*log(2)^7*log(512) - 33277392*z^3*log(2)^15*log(512)^2 - 28405728*z^3*log(2)^
9*log(512)^4 + 27031968*z^3*log(2)^13*log(512)^3 - 23228208*z^3*log(2)^5*log(512)^5 + 19455552*z^3*log(2)^2*lo
g(512)^5 - 18719424*z^3*log(2)^3*log(512)^5 - 16097616*z^3*log(2)^4*log(512)^5 + 5266944*z^3*log(2)^6*log(512)
^5 - 5159376*z^3*log(2)^14*log(512)^3 + 4191264*z^3*log(2)^9*log(512)^5 + 3387744*z^3*log(2)^8*log(512)^5 + 18
19584*z^3*log(2)^16*log(512)^2 + 1678320*z^3*log(2)^10*log(512)^5 + 1363392*z^3*log(2)^2*log(512)^6 - 1127520*
z^3*log(2)^12*log(512)^4 - 662256*z^3*log(2)^7*log(512)^5 + 653520*z^3*log(2)^3*log(512)^6 + 575808*z^3*log(2)
^4*log(512)^6 + 373248*z^3*log(2)^13*log(512)^4 + 346848*z^3*log(2)^6*log(512)^6 + 247824*z^3*log(2)^5*log(512
)^6 - 176256*z^3*log(2)^15*log(512)^3 - 139968*z^3*log(2)^17*log(512)^2 + 104448*z^3*log(2)^7*log(512)^6 + 207
36*z^3*log(2)^16*log(512)^3 + 15120*z^3*log(2)^2*log(512)^7 + 7200*z^3*log(2)^3*log(512)^7 + 3600*z^3*log(2)^4
*log(512)^7 - 1451188224*z^3*log(2)^3*log(512) - 4109201280*z^3*log(2)^3*log(512)^3 + 59897625984*z^3*log(2)^1
0*log(512)^2 - 679901838336*z^3*log(2)^5*log(512) + 12253218624*z^3*log(2)^9*log(512)^2 + 3509987904*z^3*log(2
)^7*log(512)^3 + 764330256*z^3*log(2)^16*log(512) + 33394965120*z^3*log(2)^12*log(512)^2 - 3213669168*z^3*log(
2)^10*log(512)^3 + 11794778064*z^3*log(2)^4*log(512)^3 - 269372440080*z^3*log(2)^7*log(512)^2 - 322397777232*z
^3*log(2)^6*log(512) + 272727648*z^3*log(2)^15*log(512) - 72907776*z^3*log(2)*log(512)^4 + 17915904*z^3*log(2)
*log(512)^3 + 10077696*z^3*log(2)^17*log(512) - 2519424*z^3*log(2)^18*log(512) + 746496*z^3*log(2)*log(512)^5
+ 497664*z^3*log(2)*log(512)^6 + 11520*z^3*log(2)*log(512)^7 + 2623933440*z^3*log(2)^8*log(512)^3 + 6439647744
*z^3*log(2)^3*log(512)^2 - 2040274656*z^3*log(2)^9*log(512)^3 + 14879943648*z^3*log(2)^5*log(512)^3 + 91606396
608*z^3*log(2)^4*log(512)^2 - 1324890432*z^3*log(2)^11*log(512)^3 + 65631100176*z^3*log(2)^11*log(512)^2 - 569
02520736*z^3*log(2)^8*log(512)^2 - 1025358912*z^3*log(2)^3*log(512)^4 - 247433260896*z^3*log(2)^13*log(512) -
230214572496*z^3*log(2)^10*log(512) - 22368321072*z^3*log(2)^5*log(512)^2 + 307432398672*z^3*log(2)^9*log(512)
+ 5147253216*z^3*log(2)^13*log(512)^2 - 63325092384*z^3*log(2)^8 - 574380488016*z^3*log(2)^10 - 2871198576*z^
3*log(2)^17 + 621012191904*z^3*log(2)^14 + 1149190852752*z^3*log(2)^13 - 3090345948720*z^3*log(2)^9 + 65303470
08*z^3*log(2)^4 + 1385010828720*z^3*log(2)^7 + 134806505040*z^3*log(2)^15 + 182033422848*z^3*log(2)^5 + 735999
018192*z^3*log(2)^11 + 1228219200*z^3*log(2)^16 + 1727359924608*z^3*log(2)^6 + 1259129698128*z^3*log(2)^12 - 1
09594944*z^3*log(2)^18 + 18895680*z^3*log(2)^19 + 2985984*z^3*log(512)^5 - 995328*z^3*log(512)^4 + 331776*z^3*
log(512)^6 + 9216*z^3*log(512)^7 + 1357982413056*z^2*log(2)^4*log(512)^2 - 10893864960*z^2*log(2)*log(512)^3 -
26468881920*z^2*log(2)^6*log(512)^3 - 4982881536*z^2*log(2)^9*log(512)^3 - 517185216*z^2*log(2)^7*log(512)^4
- 506853504*z^2*log(2)^6*log(512)^4 - 8020766022912*z^2*log(2)^6*log(512) - 326453760*z^2*log(2)^8*log(512)^4
+ 38873592576*z^2*log(2)^11*log(512)^2 + 365229419904*z^2*log(2)^9*log(512)^2 + 386697805056*z^2*log(2)^3*log(
512)^2 - 129544704*z^2*log(2)^9*log(512)^4 + 125349120*z^2*log(2)^2*log(512)^5 + 117884160*z^2*log(2)^11*log(5
12)^3 - 99097344*z^2*log(2)^13*log(512)^2 + 67972608*z^2*log(2)^3*log(512)^5 + 53167104*z^2*log(2)^4*log(512)^
5 - 44105472*z^2*log(2)^2*log(512)^4 + 38003328*z^2*log(2)^5*log(512)^5 - 34689600*z^2*log(2)^10*log(512)^4 +
33860736*z^2*log(2)^6*log(512)^5 + 19813248*z^2*log(2)^7*log(512)^5 - 7278336*z^2*log(2)^14*log(512)^2 + 69592
32*z^2*log(2)^8*log(512)^5 + 3421440*z^2*log(2)^12*log(512)^3 + 2576448*z^2*log(2)^2*log(512)^6 + 1973760*z^2*
log(2)^3*log(512)^6 - 1886976*z^2*log(2)^13*log(512)^3 + 1387008*z^2*log(2)^9*log(512)^5 + 1100160*z^2*log(2)^
4*log(512)^6 + 345600*z^2*log(2)^5*log(512)^6 + 119808*z^2*log(2)^12*log(512)^4 + 52800*z^2*log(2)^6*log(512)^
6 + 13824*z^2*log(2)^11*log(512)^4 - 5408820375552*z^2*log(2)^8*log(512) + 9877635072*z^2*log(2)*log(512)^2 -
25151109120*z^2*log(2)^4*log(512)^3 + 912031488*z^2*log(2)^14*log(512) - 9600159336192*z^2*log(2)^5*log(512) +
3571703424*z^2*log(2)^12*log(512)^2 + 621912256128*z^2*log(2)^8*log(512)^2 - 2727646835328*z^2*log(2)^10*log(
512) - 962379657216*z^2*log(2)^3*log(512) + 240185088*z^2*log(2)^15*log(512) - 2926840320*z^2*log(2)^3*log(512
)^4 - 1719926784*z^2*log(2)*log(512) - 309312203904*z^2*log(2)^12*log(512) + 67792896*z^2*log(2)*log(512)^5 -
64696320*z^2*log(2)*log(512)^4 + 1889280*z^2*log(2)*log(512)^6 + 144285779520*z^2*log(2)^10*log(512)^2 - 71194
256640*z^2*log(2)^3*log(512)^3 - 81374035968*z^2*log(2)^2*log(512) - 7352678603520*z^2*log(2)^7*log(512) - 280
43304192*z^2*log(2)^7*log(512)^3 - 1103044977792*z^2*log(2)^11*log(512) + 719124511104*z^2*log(2)^7*log(512)^2
+ 152159772672*z^2*log(2)^2*log(512)^2 - 31891864320*z^2*log(2)^5*log(512)^3 - 14698008576*z^2*log(2)^8*log(5
12)^3 - 1686042432*z^2*log(2)^4*log(512)^4 - 23079230208*z^2*log(2)^2*log(512)^3 + 993650747904*z^2*log(2)^5*l
og(512)^2 - 37282436352*z^2*log(2)^13*log(512) - 4538392136064*z^2*log(2)^9*log(512) + 937568882880*z^2*log(2)
^6*log(512)^2 - 1216365120*z^2*log(2)^5*log(512)^4 - 2339115542784*z^2*log(2)^4*log(512) - 991595520*z^2*log(2
)^10*log(512)^3 + 2318998781952*z^2*log(2)^4 + 19159376772672*z^2*log(2)^8 + 11410942428288*z^2*log(2)^10 + 77
39670528*z^2*log(2)^2 + 2816627852160*z^2*log(2)^12 + 20833560474624*z^2*log(2)^7 + 105993427392*z^2*log(2)^14
- 2766327552*z^2*log(2)^15 + 221548068864*z^2*log(2)^3 + 796929083136*z^2*log(2)^13 + 24049726142976*z^2*log(
2)^6 + 13518283140288*z^2*log(2)^9 + 6890230350144*z^2*log(2)^11 + 4862916622080*z^2*log(2)^5 - 982575360*z^2*
log(2)^16 - 396804096*z^2*log(512)^3 + 298598400*z^2*log(512)^4 + 95551488*z^2*log(512)^2 + 35831808*z^2*log(5
12)^5 + 1019904*z^2*log(512)^6 + 785658175488*z*log(2)^2*log(512) + 15238188288*z*log(2)^10*log(512)^2 + 24286
6957824*z*log(2)^8*log(512)^2 - 109690827264*z*log(2)^3*log(512)^3 - 2018573568*z*log(2)^8*log(512)^3 + 366904
083456*z*log(2)^2*log(512)^2 - 27597853440*z*log(2)^6*log(512)^3 - 74756328192*z*log(2)^4*log(512)^3 - 5952144
384*z*log(2)^7*log(512)^3 - 1940058501120*z*log(2)^3*log(512) - 11503689984*z*log(2)^12*log(512) - 78453379077
12*z*log(2)^7*log(512) - 1029572352*z*log(2)^5*log(512)^4 + 958934016*z*log(2)^2*log(512)^4 - 854090496*z*log(
2)^4*log(512)^4 - 823350528*z*log(2)^3*log(512)^4 + 720603648*z*log(2)^11*log(512)^2 - 673574400*z*log(2)^6*lo
g(512)^4 + 60734921472*z*log(2)^9*log(512)^2 + 1164487249152*z*log(2)^6*log(512)^2 - 491380992*z*log(2)^9*log(
512)^3 - 12289940752896*z*log(2)^5*log(512) - 478689440256*z*log(2)^10*log(512) - 113535696384*z*log(2)^11*log
(512) + 16307453952*z*log(2)*log(512) - 149066496*z*log(2)^7*log(512)^4 + 134305024*z*log(2)^2*log(512)^5 + 11
7656320*z*log(2)^3*log(512)^5 + 77220864*z*log(2)^10*log(512)^3 + 74749696*z*log(2)^4*log(512)^5 - 62290944*z*
log(2)^12*log(512)^2 - 68772374784*z*log(2)^2*log(512)^3 - 39746304*z*log(2)^8*log(512)^4 + 32734720*z*log(2)^
5*log(512)^5 - 10241280*z*log(2)^9*log(512)^4 + 9675520*z*log(2)^6*log(512)^5 + 2195200*z*log(2)^7*log(512)^5
+ 1548288*z*log(2)^11*log(512)^3 + 995328*z*log(2)^13*log(512)^2 - 663552*z*log(2)^12*log(512)^3 + 313600*z*lo
g(2)^8*log(512)^5 + 55296*z*log(2)^10*log(512)^4 + 27648*z*log(2)^11*log(512)^4 - 87372988416*z*log(2)*log(512
)^2 - 31432790016*z*log(2)*log(512)^3 - 5464534855680*z*log(2)^8*log(512) + 708395362560*z*log(2)^7*log(512)^2
- 59830292736*z*log(2)^5*log(512)^3 - 2049835838976*z*log(2)^9*log(512) + 1084096512*z*log(2)*log(512)^4 - 54
64136040192*z*log(2)^4*log(512) - 9629929907712*z*log(2)^6*log(512) + 491194368*z*log(2)^13*log(512) + 9778398
58944*z*log(2)^3*log(512)^2 + 1832457074688*z*log(2)^4*log(512)^2 + 93933568*z*log(2)*log(512)^5 + 67184640*z*
log(2)^14*log(512) + 1437118702848*z*log(2)^5*log(512)^2 + 30306807465984*z*log(2)^6 + 14260753893888*z*log(2)
^9 - 61487382528*z*log(2)^2 + 10334955504384*z*log(2)^5 + 5601781380096*z*log(2)^10 - 1052835840*z*log(512)^2
+ 1008009216*z*log(512)^4 - 866681856*z*log(2)^14 + 22231542942720*z*log(2)^7 - 2293235712*z*log(2) + 40422512
05632*z*log(2)^4 - 382952448*z*log(2)^15 + 45039616*z*log(512)^5 + 1266911953920*z*log(2)^11 - 2392041922560*z
*log(2)^3 + 3289890816*z*log(512)^3 + 37545576192*z*log(2)^13 + 254803968*z*log(512) + 18557057097216*z*log(2)
^8 + 276895895040*z*log(2)^12 - 45158400*log(2)^8*log(512)^3 - 7962624*log(2)^10*log(512)^2 - 3981312*log(2)^1
1*log(512)^2 + 420850612224*log(2)^4*log(512)^2 - 3360145047552*log(2)^5*log(512) - 16942510080*log(2)^3*log(5
12)^3 - 5549908451328*log(2)^4*log(512) - 17988397056*log(2)^10*log(512) - 13526433792*log(2)*log(512)^3 + 762
0120576*log(2)^8*log(512)^2 + 565890306048*log(2)^3*log(512)^2 - 1580963401728*log(2)^2*log(512) + 34659574272
0*log(2)^2*log(512)^2 + 32898299904*log(2)^7*log(512)^2 + 104509440*log(2)^12*log(512) - 100528128*log(2)^11*l
og(512) - 1344195274752*log(2)^7*log(512) - 2916012275712*log(2)^3*log(512) - 10763956224*log(2)^4*log(512)^3
- 19339923456*log(2)^2*log(512)^3 + 1576350720*log(2)^9*log(512)^2 - 1393274880*log(2)^6*log(512)^3 - 50234535
936*log(2)^9*log(512) + 143079367680*log(2)^6*log(512)^2 + 289048200192*log(2)^5*log(512)^2 - 64513179648*log(
2)*log(512) + 174375714816*log(2)*log(512)^2 - 2699548342272*log(2)^6*log(512) - 4713799680*log(2)^5*log(512)^
3 - 294051078144*log(2)^8*log(512) - 316108800*log(2)^7*log(512)^3 + 4791794651136*log(2)^3 + 18050171756544*l
og(2)^5 + 8704281212928*log(2)^6 + 2553016320*log(2)^12 - 6485704704*log(512)^3 + 272608395264*log(2)^2 + 7665
352704*log(2) + 929048942592*log(2)^9 - 689762304*log(2)^13 + 90815385600*log(2)^10 + 4076454159360*log(2)^8 +
60658025472*log(2)^11 + 8125778912256*log(2)^4 + 3947692032*log(512)^2 - 1082916864*log(512) + 8542021100544*
log(2)^7 + 169869312, z, k)*(35075106*log(2)^15*log(512) - 5028494742*log(2)^6*log(512) - 18223111890*log(2)^7
*log(512) - 44811636561*log(2)^8*log(512) - 68597341398*log(2)^9*log(512) - 84185037369*log(2)^10*log(512) - 5
1096457827*log(2)^11*log(512) - 22833894006*log(2)^12*log(512) - 4304672100*log(2)^13*log(512) - 28697814*log(
2)^14*log(512) - 229582512*log(2)^5*log(512) - x*(1732104*log(2)*log(512)^5 - 344373768*log(2)^4*log(512) - 47
2392*log(2)*log(512)^4 - 14808072024*log(2)^5*log(512) + 104976*log(2)*log(512)^6 - 163612614906*log(2)^6*log(
512) - 251478944082*log(2)^7*log(512) - 462465272610*log(2)^8*log(512) - 438971328882*log(2)^9*log(512) - 2510
19779058*log(2)^10*log(512) - 79980807618*log(2)^11*log(512) - 23092174332*log(2)^12*log(512) - 4075089588*log
(2)^13*log(512) - 28697814*log(2)^14*log(512) + 35075106*log(2)^15*log(512) + 1033121304*log(2)^5 + 3099363912
0*log(2)^6 + 310079880270*log(2)^7 + 520951417542*log(2)^8 + 911471270454*log(2)^9 + 863517223260*log(2)^10 +
516818932326*log(2)^11 + 183120751134*log(2)^12 + 58543540560*log(2)^13 + 11106054018*log(2)^14 + 258280326*lo
g(2)^15 - 143489070*log(2)^16 + 17496*log(512)^5 - 52488*log(512)^6 - 5832*log(512)^7 - 162*log(512)^8 + 28343
52*log(2)^2*log(512)^3 + 25509168*log(2)^3*log(512)^2 - 15116544*log(2)^2*log(512)^4 - 93533616*log(2)^3*log(5
12)^3 + 2410616376*log(2)^4*log(512)^2 - 2991816*log(2)^2*log(512)^5 + 154927080*log(2)^3*log(512)^4 - 3345676
974*log(2)^4*log(512)^3 + 33749692146*log(2)^5*log(512)^2 - 485514*log(2)^2*log(512)^6 + 16813656*log(2)^3*log
(512)^5 - 95305086*log(2)^4*log(512)^4 - 2572528734*log(2)^5*log(512)^3 + 43397472060*log(2)^6*log(512)^2 - 17
496*log(2)^2*log(512)^7 + 101088*log(2)^3*log(512)^6 + 1775844*log(2)^4*log(512)^5 + 248084532*log(2)^5*log(51
2)^4 - 7826708754*log(2)^6*log(512)^3 + 89553122910*log(2)^7*log(512)^2 - 5832*log(2)^3*log(512)^7 - 274104*lo
g(2)^4*log(512)^6 + 6193584*log(2)^5*log(512)^5 + 215817534*log(2)^6*log(512)^4 - 7449503742*log(2)^7*log(512)
^3 + 85305846438*log(2)^8*log(512)^2 - 309096*log(2)^5*log(512)^6 + 7851330*log(2)^6*log(512)^5 + 46255050*log
(2)^7*log(512)^4 - 3520265184*log(2)^8*log(512)^3 + 45750692808*log(2)^9*log(512)^2 - 108378*log(2)^6*log(512)
^6 + 4142178*log(2)^7*log(512)^5 - 33185538*log(2)^8*log(512)^4 - 578207808*log(2)^9*log(512)^3 + 12209325534*
log(2)^10*log(512)^2 + 433026*log(2)^8*log(512)^5 - 6784074*log(2)^9*log(512)^4 - 107587278*log(2)^10*log(512)
^3 + 3045156930*log(2)^11*log(512)^2 + 144342*log(2)^9*log(512)^5 - 3385476*log(2)^10*log(512)^4 + 6022998*log
(2)^11*log(512)^3 + 430467210*log(2)^12*log(512)^2 - 78732*log(2)^11*log(512)^4 + 1771470*log(2)^12*log(512)^3
- 9565938*log(2)^13*log(512)^2 + 17496*log(2)^12*log(512)^4 - 275562*log(2)^13*log(512)^3 - 1062882*log(2)^14
*log(512)^2) + 516560652*log(2)^6 + 7891898850*log(2)^7 + 33318162054*log(2)^8 + 91172955078*log(2)^9 + 145239
636654*log(2)^10 + 185832694557*log(2)^11 + 121520893383*log(2)^12 + 57381279093*log(2)^13 + 11751754833*log(2
)^14 + 258280326*log(2)^15 - 143489070*log(2)^16 + 78732*log(2)^2*log(512)^4 - 2834352*log(2)^3*log(512)^3 + 3
8263752*log(2)^4*log(512)^2 - 236196*log(2)^2*log(512)^5 + 9666540*log(2)^3*log(512)^4 - 157030974*log(2)^4*lo
g(512)^3 + 1263766698*log(2)^5*log(512)^2 - 26244*log(2)^2*log(512)^6 + 437400*log(2)^3*log(512)^5 + 10707552*
log(2)^4*log(512)^4 - 356065470*log(2)^5*log(512)^3 + 3804054678*log(2)^6*log(512)^2 - 729*log(2)^2*log(512)^7
- 20655*log(2)^3*log(512)^6 + 667035*log(2)^4*log(512)^5 + 17124210*log(2)^5*log(512)^4 - 689278977*log(2)^6*
log(512)^3 + 8362224135*log(2)^7*log(512)^2 - 729*log(2)^3*log(512)^7 - 11664*log(2)^4*log(512)^6 + 406782*log
(2)^5*log(512)^5 + 27687420*log(2)^6*log(512)^4 - 987712623*log(2)^7*log(512)^3 + 12298607622*log(2)^8*log(512
)^2 - 31347*log(2)^5*log(512)^6 + 859491*log(2)^6*log(512)^5 + 22537035*log(2)^7*log(512)^4 - 1052607474*log(2
)^8*log(512)^3 + 14286728403*log(2)^9*log(512)^2 - 24543*log(2)^6*log(512)^6 + 1353753*log(2)^7*log(512)^5 - 1
0097379*log(2)^8*log(512)^4 - 373071582*log(2)^9*log(512)^3 + 7526798883*log(2)^10*log(512)^2 + 393660*log(2)^
8*log(512)^5 - 5544045*log(2)^9*log(512)^4 - 120341862*log(2)^10*log(512)^3 + 3073854744*log(2)^11*log(512)^2
+ 153090*log(2)^9*log(512)^5 - 3601989*log(2)^10*log(512)^4 + 6731586*log(2)^11*log(512)^3 + 452787732*log(2)^
12*log(512)^2 - 78732*log(2)^11*log(512)^4 + 1771470*log(2)^12*log(512)^3 - 9565938*log(2)^13*log(512)^2 + 174
96*log(2)^12*log(512)^4 - 275562*log(2)^13*log(512)^3 - 1062882*log(2)^14*log(512)^2) + 7558272*log(2)*log(512
)^3 + 204073344*log(2)^3*log(512) - 27888624*log(2)*log(512)^4 + 357128352*log(2)^4*log(512) - 1154736*log(2)*
log(512)^5 - 56346917760*log(2)^5*log(512) + 58320*log(2)*log(512)^6 - 12192673716*log(2)^6*log(512) + 1620*lo
g(2)*log(512)^7 - 114918093252*log(2)^7*log(512) - 131818625640*log(2)^8*log(512) - 165254767596*log(2)^9*log(
512) - 144007756416*log(2)^10*log(512) - 73447271964*log(2)^11*log(512) - 13181862564*log(2)^12*log(512) + 147
7405980*log(2)^13*log(512) + 558367344*log(2)^14*log(512) + 5668704*log(2)^15*log(512) - 2834352*log(2)^16*log
(512) - x*(68024448*log(2)*log(512)^2 - 612220032*log(2)^2*log(512) - 299181600*log(2)*log(512)^3 - 2311130620
8*log(2)^3*log(512) + 151795296*log(2)*log(512)^4 - 247872585456*log(2)^4*log(512) + 11862288*log(2)*log(512)^
5 - 354549091680*log(2)^5*log(512) + 14580*log(2)*log(512)^6 - 709700483160*log(2)^6*log(512) - 5832*log(2)*lo
g(512)^7 - 823681823076*log(2)^7*log(512) - 588517763400*log(2)^8*log(512) - 442507537296*log(2)^9*log(512) -
272389021668*log(2)^10*log(512) - 122250561876*log(2)^11*log(512) - 21748691484*log(2)^12*log(512) + 144339375
6*log(2)^13*log(512) + 628517556*log(2)^14*log(512) + 5668704*log(2)^15*log(512) - 2834352*log(2)^16*log(512)
+ 1836660096*log(2)^3 + 50737735152*log(2)^4 + 529417272672*log(2)^5 + 817522067592*log(2)^6 + 1518271667136*l
og(2)^7 + 1759479982452*log(2)^8 + 1330647484968*log(2)^9 + 1041909212376*log(2)^10 + 666063508356*log(2)^11 +
308820365100*log(2)^12 + 59608548324*log(2)^13 - 3871016244*log(2)^14 - 2408490612*log(2)^15 - 80779032*log(2
)^16 + 21257640*log(2)^17 - 2519424*log(512)^3 + 8503056*log(512)^4 - 1994544*log(512)^5 - 291600*log(512)^6 -
8748*log(512)^7 + 3945417984*log(2)^2*log(512)^2 - 3855348576*log(2)^2*log(512)^3 + 44862123456*log(2)^3*log(
512)^2 - 66029904*log(2)^2*log(512)^4 - 2977982496*log(2)^3*log(512)^3 + 54717322824*log(2)^4*log(512)^2 + 131
2200*log(2)^2*log(512)^5 + 300587112*log(2)^3*log(512)^4 - 10081349748*log(2)^4*log(512)^3 + 125960413716*log(
2)^5*log(512)^2 - 291600*log(2)^2*log(512)^6 + 8915184*log(2)^3*log(512)^5 + 268826040*log(2)^4*log(512)^4 - 1
1305439892*log(2)^5*log(512)^3 + 145530669492*log(2)^6*log(512)^2 - 972*log(2)^2*log(512)^7 - 337068*log(2)^3*
log(512)^6 + 13414572*log(2)^4*log(512)^5 + 7637004*log(2)^5*log(512)^4 - 5997471336*log(2)^6*log(512)^3 + 948
11436360*log(2)^7*log(512)^2 - 91152*log(2)^4*log(512)^6 + 6286896*log(2)^5*log(512)^5 + 5062176*log(2)^6*log(
512)^4 - 3957630192*log(2)^7*log(512)^3 + 67527964008*log(2)^8*log(512)^2 - 38664*log(2)^5*log(512)^6 + 489790
8*log(2)^6*log(512)^5 - 44238636*log(2)^7*log(512)^4 - 1816644672*log(2)^8*log(512)^3 + 38658671712*log(2)^9*l
og(512)^2 + 2156868*log(2)^7*log(512)^5 - 31868964*log(2)^8*log(512)^4 - 612499968*log(2)^9*log(512)^3 + 16292
327688*log(2)^10*log(512)^2 + 790236*log(2)^8*log(512)^5 - 18671148*log(2)^9*log(512)^4 + 39086064*log(2)^10*l
og(512)^3 + 2265119640*log(2)^11*log(512)^2 - 279936*log(2)^10*log(512)^4 + 12238452*log(2)^11*log(512)^3 - 20
0058012*log(2)^12*log(512)^2 + 297432*log(2)^11*log(512)^4 - 4201956*log(2)^12*log(512)^3 - 26375220*log(2)^13
*log(512)^2 - 151632*log(2)^13*log(512)^3 + 1732104*log(2)^14*log(512)^2 + 23328*log(2)^14*log(512)^3 - 157464
*log(2)^15*log(512)^2) + 10331213040*log(2)^5 + 160456918248*log(2)^6 + 119214970884*log(2)^7 + 331935922836*l
og(2)^8 + 376234718832*log(2)^9 + 431085807324*log(2)^10 + 360049151736*log(2)^11 + 185343237396*log(2)^12 + 3
6076340844*log(2)^13 - 4291917516*log(2)^14 - 2121512472*log(2)^15 - 80779032*log(2)^16 + 21257640*log(2)^17 -
279936*log(512)^4 + 839808*log(512)^5 + 93312*log(512)^6 + 2592*log(512)^7 - 68024448*log(2)^2*log(512)^2 + 3
30674400*log(2)^2*log(512)^3 - 1496537856*log(2)^3*log(512)^2 - 10252656*log(2)^2*log(512)^4 - 62379072*log(2)
^3*log(512)^3 + 5901278328*log(2)^4*log(512)^2 + 2099520*log(2)^2*log(512)^5 - 141682608*log(2)^3*log(512)^4 +
1961549460*log(2)^4*log(512)^3 - 8360944740*log(2)^5*log(512)^2 + 189540*log(2)^2*log(512)^6 - 3094200*log(2)
^3*log(512)^5 - 14580000*log(2)^4*log(512)^4 - 99593064*log(2)^5*log(512)^3 + 11664460728*log(2)^6*log(512)^2
+ 1620*log(2)^2*log(512)^7 + 52164*log(2)^3*log(512)^6 + 2249856*log(2)^4*log(512)^5 - 89048808*log(2)^5*log(5
12)^4 + 255712788*log(2)^6*log(512)^3 + 12835126836*log(2)^7*log(512)^2 + 108864*log(2)^4*log(512)^6 - 4212*lo
g(2)^5*log(512)^5 - 23307588*log(2)^6*log(512)^4 - 754392528*log(2)^7*log(512)^3 + 21005855064*log(2)^8*log(51
2)^2 + 34992*log(2)^5*log(512)^6 + 1037448*log(2)^6*log(512)^5 - 11984760*log(2)^7*log(512)^4 - 928495224*log(
2)^8*log(512)^3 + 19897151040*log(2)^9*log(512)^2 + 1248372*log(2)^7*log(512)^5 - 17825508*log(2)^8*log(512)^4
- 380765448*log(2)^9*log(512)^3 + 9833311872*log(2)^10*log(512)^2 + 487296*log(2)^8*log(512)^5 - 11483208*log
(2)^9*log(512)^4 + 24520644*log(2)^10*log(512)^3 + 1373479740*log(2)^11*log(512)^2 - 134136*log(2)^10*log(512)
^4 + 8879220*log(2)^11*log(512)^3 - 180217548*log(2)^12*log(512)^2 + 262440*log(2)^11*log(512)^4 - 3650832*log
(2)^12*log(512)^3 - 24249456*log(2)^13*log(512)^2 - 151632*log(2)^13*log(512)^3 + 1732104*log(2)^14*log(512)^2
+ 23328*log(2)^14*log(512)^3 - 157464*log(2)^15*log(512)^2) + 1555324416*log(2)*log(512)^2 - 13756055040*log(
2)^2*log(512) - 3322886976*log(2)*log(512)^3 - 297572947776*log(2)^3*log(512) - 102316608*log(2)*log(512)^4 -
567413650800*log(2)^4*log(512) + 11918016*log(2)*log(512)^5 - 1335974649552*log(2)^5*log(512) + 361584*log(2)*
log(512)^6 - 1300079471040*log(2)^6*log(512) - 1220784694704*log(2)^7*log(512) - 786151932048*log(2)^8*log(512
) - 291063386016*log(2)^9*log(512) - 33092004384*log(2)^10*log(512) + 23853906432*log(2)^11*log(512) + 1082533
5072*log(2)^12*log(512) + 1381274208*log(2)^13*log(512) - 28343520*log(2)^14*log(512) - 9447840*log(2)^15*log(
512) + 40542571008*log(2)^3 + 703372792320*log(2)^4 + 1333729842768*log(2)^5 + 3164145861312*log(2)^6 + 321582
4601328*log(2)^7 + 3133679411664*log(2)^8 + 1962051828480*log(2)^9 + 691151066496*log(2)^10 + 41092435296*log(
2)^11 - 87516286704*log(2)^12 - 39329468352*log(2)^13 - 5597845200*log(2)^14 + 85030560*log(2)^15 + 70858800*l
og(2)^16 - 58599936*log(512)^3 + 87713280*log(512)^4 + 9994752*log(512)^5 + 279936*log(512)^6 - x*(5671643328*
log(2)*log(512)^2 - 50787808704*log(2)^2*log(512) - 8992477440*log(2)*log(512)^3 - 727105766400*log(2)^3*log(5
12) + 477944064*log(2)*log(512)^4 - 3032070726816*log(2)^4*log(512) + 51876288*log(2)*log(512)^5 - 44724071617
92*log(2)^5*log(512) + 531360*log(2)*log(512)^6 - 3405456292032*log(2)^6*log(512) - 2583075987648*log(2)^7*log
(512) - 1394276325408*log(2)^8*log(512) - 447481195200*log(2)^9*log(512) - 82527512256*log(2)^10*log(512) + 68
89364928*log(2)^11*log(512) + 6844645152*log(2)^12*log(512) + 910141920*log(2)^13*log(512) - 17006112*log(2)^1
4*log(512) - 5668704*log(2)^15*log(512) + 151592482368*log(2)^3 + 1636651212768*log(2)^4 + 7006297064544*log(2
)^5 + 10772093659248*log(2)^6 + 8417124116064*log(2)^7 + 6453040057200*log(2)^8 + 3450443756832*log(2)^9 + 108
8646259680*log(2)^10 + 167963699520*log(2)^11 - 36880588224*log(2)^12 - 24828923520*log(2)^13 - 3619467504*log
(2)^14 + 51018336*log(2)^15 + 42515280*log(2)^16 - 211118400*log(512)^3 + 250332768*log(512)^4 + 17641152*log(
512)^5 + 200880*log(512)^6 + 121239301824*log(2)^2*log(512)^2 - 31101099552*log(2)^2*log(512)^3 + 478735279776
*log(2)^3*log(512)^2 - 288217440*log(2)^2*log(512)^4 - 33665624352*log(2)^3*log(512)^3 + 651145762656*log(2)^4
*log(512)^2 + 44618688*log(2)^2*log(512)^5 - 642879072*log(2)^3*log(512)^4 - 19770386688*log(2)^4*log(512)^3 +
468462328416*log(2)^5*log(512)^2 + 391392*log(2)^2*log(512)^6 + 21915360*log(2)^3*log(512)^5 - 182510928*log(
2)^4*log(512)^4 - 17367548256*log(2)^5*log(512)^3 + 359888380992*log(2)^6*log(512)^2 + 85536*log(2)^3*log(512)
^6 + 19960992*log(2)^4*log(512)^5 - 252901440*log(2)^5*log(512)^4 - 8294768064*log(2)^6*log(512)^3 + 192346684
992*log(2)^7*log(512)^2 + 3888*log(2)^4*log(512)^6 + 10633248*log(2)^5*log(512)^5 - 169122384*log(2)^6*log(512
)^4 - 2088789120*log(2)^7*log(512)^3 + 61000923744*log(2)^8*log(512)^2 + 3017952*log(2)^6*log(512)^5 - 4593456
0*log(2)^7*log(512)^4 - 464592672*log(2)^8*log(512)^3 + 12798044064*log(2)^9*log(512)^2 + 661824*log(2)^7*log(
512)^5 - 10335600*log(2)^8*log(512)^4 + 9090144*log(2)^9*log(512)^3 - 37266480*log(2)^10*log(512)^2 + 1816128*
log(2)^9*log(512)^4 - 16306272*log(2)^10*log(512)^3 - 454336128*log(2)^11*log(512)^2 + 445392*log(2)^10*log(51
2)^4 - 6710688*log(2)^11*log(512)^3 - 32122656*log(2)^12*log(512)^2 - 69984*log(2)^12*log(512)^3 + 1889568*log
(2)^13*log(512)^2 + 46656*log(2)^13*log(512)^3 - 314928*log(2)^14*log(512)^2) + 47181253248*log(2)^2*log(512)^
2 - 3933065808*log(2)^2*log(512)^3 + 82979223984*log(2)^3*log(512)^2 - 71990208*log(2)^2*log(512)^4 - 10229277
456*log(2)^3*log(512)^3 + 196747908768*log(2)^4*log(512)^2 + 17931456*log(2)^2*log(512)^5 - 348907824*log(2)^3
*log(512)^4 - 6359181696*log(2)^4*log(512)^3 + 174801521232*log(2)^5*log(512)^2 + 322704*log(2)^2*log(512)^6 +
9280800*log(2)^3*log(512)^5 - 159757920*log(2)^4*log(512)^4 - 6794812656*log(2)^5*log(512)^3 + 162166084992*l
og(2)^6*log(512)^2 + 136080*log(2)^3*log(512)^6 + 8255808*log(2)^4*log(512)^5 - 114207408*log(2)^5*log(512)^4
- 4669958448*log(2)^6*log(512)^3 + 107496473760*log(2)^7*log(512)^2 + 19440*log(2)^4*log(512)^6 + 6276960*log(
2)^5*log(512)^5 - 92434608*log(2)^6*log(512)^4 - 1615378464*log(2)^7*log(512)^3 + 41129806752*log(2)^8*log(512
)^2 + 2263104*log(2)^6*log(512)^5 - 35163072*log(2)^7*log(512)^4 - 212805792*log(2)^8*log(512)^3 + 6283233504*
log(2)^9*log(512)^2 + 361728*log(2)^7*log(512)^5 - 2374272*log(2)^8*log(512)^4 + 9230112*log(2)^9*log(512)^3 -
1724440752*log(2)^10*log(512)^2 + 3032640*log(2)^9*log(512)^4 - 28841184*log(2)^10*log(512)^3 - 703339200*log
(2)^11*log(512)^2 + 657072*log(2)^10*log(512)^4 - 10132128*log(2)^11*log(512)^3 - 46399392*log(2)^12*log(512)^
2 - 116640*log(2)^12*log(512)^3 + 3149280*log(2)^13*log(512)^2 + 77760*log(2)^13*log(512)^3 - 524880*log(2)^14
*log(512)^2) - 3453290496*log(2)*log(512) - x*(156764160*log(512) - 1410877440*log(2) - 8055438336*log(2)*log(
512) - 83711703744*log(2)*log(512)^2 + 793069185600*log(2)^2*log(512) - 36402037632*log(2)*log(512)^3 - 291543
7981824*log(2)^3*log(512) + 515512512*log(2)*log(512)^4 - 3861340746048*log(2)^4*log(512) + 63653184*log(2)*lo
g(512)^5 - 3474273658752*log(2)^5*log(512) - 2014183749888*log(2)^6*log(512) - 388808989056*log(2)^7*log(512)
+ 112072657536*log(2)^8*log(512) + 67989456000*log(2)^9*log(512) + 26076738240*log(2)^10*log(512) + 6538745088
*log(2)^11*log(512) + 615999168*log(2)^12*log(512) + 42146604288*log(2)^2 - 2512590062400*log(2)^3 + 678845695
7952*log(2)^4 + 7645571301312*log(2)^5 + 7256608767360*log(2)^6 + 4606580346624*log(2)^7 + 692488880640*log(2)
^8 - 560889287424*log(2)^9 - 304802434944*log(2)^10 - 97141851072*log(2)^11 - 23536459008*log(2)^12 - 26416160
64*log(2)^13 + 374720256*log(512)^2 + 2956948416*log(512)^3 + 1050478848*log(512)^4 + 42134592*log(512)^5 + 48
2658994944*log(2)^2*log(512)^2 - 46047356928*log(2)^2*log(512)^3 + 676601672832*log(2)^3*log(512)^2 - 23159520
0*log(2)^2*log(512)^4 - 34432952256*log(2)^3*log(512)^3 + 578695254336*log(2)^4*log(512)^2 + 42943680*log(2)^2
*log(512)^5 - 498671424*log(2)^3*log(512)^4 - 13585682880*log(2)^4*log(512)^3 + 298284420672*log(2)^5*log(512)
^2 + 17010624*log(2)^3*log(512)^5 - 245073600*log(2)^4*log(512)^4 - 2685690432*log(2)^5*log(512)^3 + 662731839
36*log(2)^6*log(512)^2 + 4487040*log(2)^4*log(512)^5 - 5588352*log(2)^5*log(512)^4 - 1105436160*log(2)^6*log(5
12)^3 + 1602571392*log(2)^7*log(512)^2 + 935424*log(2)^5*log(512)^5 + 13056768*log(2)^6*log(512)^4 - 479654784
*log(2)^7*log(512)^3 - 1214020224*log(2)^8*log(512)^2 + 156288*log(2)^6*log(512)^5 + 3825792*log(2)^7*log(512)
^4 - 44587584*log(2)^8*log(512)^3 - 1720668096*log(2)^9*log(512)^2 + 2042496*log(2)^8*log(512)^4 - 21772800*lo
g(2)^9*log(512)^3 - 405440640*log(2)^10*log(512)^2 + 300672*log(2)^9*log(512)^4 - 4992192*log(2)^10*log(512)^3
- 15256512*log(2)^11*log(512)^2) - 35783845632*log(2)*log(512)^2 + 349201870848*log(2)^2*log(512) - 975706041
6*log(2)*log(512)^3 - 721427684544*log(2)^3*log(512) + 178640640*log(2)*log(512)^4 - 495423174528*log(2)^4*log
(512) + 20945088*log(2)*log(512)^5 - 921065862528*log(2)^5*log(512) - 871060055040*log(2)^6*log(512) - 8448118
5600*log(2)^7*log(512) + 236427087168*log(2)^8*log(512) + 146765685888*log(2)^9*log(512) + 50241233664*log(2)^
10*log(512) + 10664255232*log(2)^11*log(512) + 976276800*log(2)^12*log(512) + 20961607680*log(2)^2 - 114233875
4304*log(2)^3 + 1750252670784*log(2)^4 + 82244077056*log(2)^5 + 1201334426496*log(2)^6 + 1614608142336*log(2)^
7 - 161083152576*log(2)^8 - 934563956544*log(2)^9 - 552086419968*log(2)^10 - 184051481472*log(2)^11 - 39326529
024*log(2)^12 - 4115479104*log(2)^13 + 124913664*log(512)^2 + 1231842816*log(512)^3 + 307611648*log(512)^4 + 1
3118976*log(512)^5 + 121447574208*log(2)^2*log(512)^2 - 12139673472*log(2)^2*log(512)^3 + 139255096320*log(2)^
3*log(512)^2 + 167949504*log(2)^2*log(512)^4 - 16328478528*log(2)^3*log(512)^3 + 205592789952*log(2)^4*log(512
)^2 + 20948544*log(2)^2*log(512)^5 - 102914496*log(2)^3*log(512)^4 - 9466279488*log(2)^4*log(512)^3 + 15511211
7696*log(2)^5*log(512)^2 + 12033792*log(2)^3*log(512)^5 - 132503040*log(2)^4*log(512)^4 - 2083568832*log(2)^5*
log(512)^3 + 32087710656*log(2)^6*log(512)^2 + 3787776*log(2)^4*log(512)^5 + 8218368*log(2)^5*log(512)^4 - 676
593216*log(2)^6*log(512)^3 - 12069487296*log(2)^7*log(512)^2 + 751680*log(2)^5*log(512)^5 + 25748928*log(2)^6*
log(512)^4 - 367747776*log(2)^7*log(512)^3 - 8815324608*log(2)^8*log(512)^2 + 77760*log(2)^6*log(512)^5 + 1217
7216*log(2)^7*log(512)^4 - 116510400*log(2)^8*log(512)^3 - 3304566720*log(2)^9*log(512)^2 + 3390336*log(2)^8*l
og(512)^4 - 38333952*log(2)^9*log(512)^3 - 629016192*log(2)^10*log(512)^2 + 480384*log(2)^9*log(512)^4 - 78226
56*log(2)^10*log(512)^3 - 26174016*log(2)^11*log(512)^2) + 74108390400*log(2)^2 - 2578524274944*log(2)^3 + 825
440937984*log(2)^4 + 701544623616*log(2)^5 + 1960580298240*log(2)^6 + 2363565526272*log(2)^7 + 1240082701056*l
og(2)^8 + 346757842944*log(2)^9 + 73014027264*log(2)^10 + 14078541312*log(2)^11 + 1436071680*log(2)^12 - 16422
912*log(512)^2 + 1636098048*log(512)^3 - 10801152*log(512)^4 + 8918719488*log(2)^2*log(512)^2 + 1062180864*log
(2)^2*log(512)^3 + 18652073472*log(2)^3*log(512)^2 - 150315264*log(2)^2*log(512)^4 + 282949632*log(2)^3*log(51
2)^3 + 53907275520*log(2)^4*log(512)^2 - 139302144*log(2)^3*log(512)^4 + 876469248*log(2)^4*log(512)^3 + 48580
176384*log(2)^5*log(512)^2 - 70122240*log(2)^4*log(512)^4 + 713816064*log(2)^5*log(512)^3 + 19023081984*log(2)
^6*log(512)^2 - 20818944*log(2)^5*log(512)^4 + 217672704*log(2)^6*log(512)^3 + 5484132864*log(2)^7*log(512)^2
- 5084928*log(2)^6*log(512)^4 + 43047936*log(2)^7*log(512)^3 + 1328908032*log(2)^8*log(512)^2 - 933120*log(2)^
7*log(512)^4 + 11612160*log(2)^8*log(512)^3 + 211942656*log(2)^9*log(512)^2 - 103680*log(2)^8*log(512)^4 + 248
8320*log(2)^9*log(512)^3 - 3732480*log(2)^10*log(512)^2 - 191102976) + 13539944448*log(2)*log(512) + x*(177465
987072*log(2)*log(512) - 772872192*log(512) - 3345795072*log(2) + 21501075456*log(2)*log(512)^2 - 421705294848
*log(2)^2*log(512) - 607877167104*log(2)^3*log(512) - 327405680640*log(2)^4*log(512) - 102066158592*log(2)^5*l
og(512) - 33193939968*log(2)^6*log(512) - 6918524928*log(2)^7*log(512) - 1419835392*log(2)^8*log(512) - 235146
240*log(2)^9*log(512) - 797571256320*log(2)^2 + 1996405761024*log(2)^3 + 2590259005440*log(2)^4 + 150810257203
2*log(2)^5 + 487756753920*log(2)^6 + 141407990784*log(2)^7 + 30367457280*log(2)^8 + 5119469568*log(2)^9 + 1551
965184*log(2)^10 - 9473531904*log(512)^2 + 36350373888*log(2)^2*log(512)^2 + 17184337920*log(2)^3*log(512)^2 +
5614645248*log(2)^4*log(512)^2 + 1819459584*log(2)^5*log(512)^2 + 440930304*log(2)^6*log(512)^2 + 80621568*lo
g(2)^7*log(512)^2 + 8957952*log(2)^8*log(512)^2 + 1427300352) - 16289538048*log(2)*log(512)^2 + 323408194560*l
og(2)^2*log(512) + 366476285952*log(2)^3*log(512) + 357864210432*log(2)^4*log(512) + 188617890816*log(2)^5*log
(512) + 55698803712*log(2)^6*log(512) + 11373613056*log(2)^7*log(512) + 2366392320*log(2)^8*log(512) + 3919104
00*log(2)^9*log(512) - 25071814656*log(2)^2 - 1541725498368*log(2)^3 - 1597323773952*log(2)^4 - 1558561222656*
log(2)^5 - 900784032768*log(2)^6 - 246847564800*log(2)^7 - 48832782336*log(2)^8 - 8532449280*log(2)^9 - 258660
8640*log(2)^10 - 1555365888*log(512)^2 - 21645398016*log(2)^2*log(512)^2 - 20059508736*log(2)^3*log(512)^2 - 1
0097602560*log(2)^4*log(512)^2 - 2997927936*log(2)^5*log(512)^2 - 732229632*log(2)^6*log(512)^2 - 134369280*lo
g(2)^7*log(512)^2 - 14929920*log(2)^8*log(512)^2 - 1385496576)*root(266783382*z^5*log(2)^12*log(512)^3 - 21163
1616*z^5*log(2)^8*log(512)^4 - 178682274*z^5*log(2)^9*log(512)^4 - 125892468*z^5*log(2)^6*log(512)^4 + 1232943
12*z^5*log(2)^6*log(512)^3 + 68221278*z^5*log(2)^7*log(512)^4 - 52278048*z^5*log(2)^10*log(512)^4 + 38263752*z
^5*log(2)^14*log(512)^2 + 29760696*z^5*log(2)^15*log(512)^2 - 29760696*z^5*log(2)^6*log(512)^2 + 26985393*z^5*
log(2)^11*log(512)^4 - 17006112*z^5*log(2)^13*log(512)^3 - 12837690*z^5*log(2)^6*log(512)^5 + 6613488*z^5*log(
2)^5*log(512)^4 - 5821794*z^5*log(2)^9*log(512)^5 - 4776408*z^5*log(2)^8*log(512)^5 - 3418281*z^5*log(2)^10*lo
g(512)^5 - 34362443619*z^5*log(2)^9*log(512)^2 + 2230740*z^5*log(2)^5*log(512)^5 + 1653372*z^5*log(2)^12*log(5
12)^4 - 1076004*z^5*log(2)^4*log(512)^5 + 944784*z^5*log(2)^14*log(512)^3 - 944784*z^5*log(2)^5*log(512)^3 - 7
61076*z^5*log(2)^7*log(512)^5 + 373977*z^5*log(2)^5*log(512)^6 - 288684*z^5*log(2)^13*log(512)^4 + 288684*z^5*
log(2)^4*log(512)^4 + 258066*z^5*log(2)^8*log(512)^6 + 238383*z^5*log(2)^7*log(512)^6 + 104976*z^5*log(2)^9*lo
g(512)^6 - 74358*z^5*log(2)^6*log(512)^6 - 61236*z^5*log(2)^4*log(512)^6 - 52488*z^5*log(2)^11*log(512)^5 + 34
992*z^5*log(2)^3*log(512)^6 + 13122*z^5*log(2)^5*log(512)^7 + 11664*z^5*log(2)^12*log(512)^5 - 11664*z^5*log(2
)^3*log(512)^5 + 4131*z^5*log(2)^6*log(512)^7 + 3888*z^5*log(2)^3*log(512)^7 + 243*z^5*log(2)^4*log(512)^7 + 1
08*z^5*log(2)^3*log(512)^8 - 34096191678*z^5*log(2)^12*log(512)^2 + 361936830168*z^5*log(2)^11*log(512) + 1984
74081624*z^5*log(2)^10*log(512) + 176807232054*z^5*log(2)^13*log(512) + 344373768*z^5*log(2)^15*log(512) - 306
110016*z^5*log(2)^16*log(512) + 306110016*z^5*log(2)^7*log(512) + 34566516963*z^5*log(2)^14*log(512) + 2835060
588*z^5*log(2)^11*log(512)^3 + 2725229448*z^5*log(2)^7*log(512)^3 + 330684910722*z^5*log(2)^12*log(512) + 1331
00461332*z^5*log(2)^9*log(512) - 2142770112*z^5*log(2)^7*log(512)^2 - 70816639014*z^5*log(2)^10*log(512)^2 + 2
077048575*z^5*log(2)^8*log(512)^3 + 12225268764*z^5*log(2)^8*log(512) + 6306078906*z^5*log(2)^9*log(512)^3 - 2
7454242060*z^5*log(2)^8*log(512)^2 + 5877206019*z^5*log(2)^10*log(512)^3 - 5729996862*z^5*log(2)^13*log(512)^2
- 65607985773*z^5*log(2)^11*log(512)^2 - 708204653892*z^5*log(2)^12 - 72447631443*z^5*log(2)^15 - 25259815882
8*z^5*log(2)^10 - 24794911296*z^5*log(2)^9 - 411182278992*z^5*log(2)^11 - 346612197492*z^5*log(2)^14 - 6384689
65872*z^5*log(2)^13 - 1549681956*z^5*log(2)^16 + 860934420*z^5*log(2)^17 - 860934420*z^5*log(2)^8 - 774932832*
z^4*log(2)^8*log(512)^3 + 613637208*z^4*log(2)^12*log(512)^2 + 571699296*z^4*log(2)^9*log(512)^3 + 532018368*z
^4*log(2)^7*log(512)^3 + 319336992*z^4*log(2)^6*log(512)^2 - 286094592*z^4*log(2)^6*log(512)^3 - 4568975424*z^
4*log(2)^11*log(512)^2 + 266639040*z^4*log(2)^10*log(512)^3 - 245433888*z^4*log(2)^12*log(512)^3 - 72223488*z^
4*log(2)^11*log(512)^3 + 54330912*z^4*log(2)^7*log(512)^4 - 37663056*z^4*log(2)^6*log(512)^4 - 29160000*z^4*lo
g(2)^8*log(512)^4 - 13226976*z^4*log(2)^15*log(512)^2 + 9346752*z^4*log(2)^5*log(512)^4 - 6284952*z^4*log(2)^1
2*log(512)^4 + 5942808*z^4*log(2)^10*log(512)^4 + 5808672*z^4*log(2)^13*log(512)^3 + 4129056*z^4*log(2)^14*log
(512)^3 + 3720816*z^4*log(2)^11*log(512)^4 - 2006208*z^4*log(2)^6*log(512)^5 - 1967328*z^4*log(2)^4*log(512)^4
+ 1936224*z^4*log(2)^9*log(512)^4 - 1889568*z^4*log(2)^16*log(512)^2 + 1889568*z^4*log(2)^5*log(512)^2 - 1609
632*z^4*log(2)^5*log(512)^3 + 1527984*z^4*log(2)^7*log(512)^5 + 1259712*z^4*log(2)^5*log(512)^5 - 664848*z^4*l
og(2)^8*log(512)^5 - 489888*z^4*log(2)^15*log(512)^3 + 489888*z^4*log(2)^4*log(512)^3 - 361584*z^4*log(2)^9*lo
g(512)^5 + 279936*z^4*log(2)^11*log(512)^5 - 256608*z^4*log(2)^4*log(512)^5 - 202176*z^4*log(2)^13*log(512)^4
+ 128304*z^4*log(2)^10*log(512)^5 + 93312*z^4*log(2)^3*log(512)^5 - 55728*z^4*log(2)^6*log(512)^6 + 38880*z^4*
log(2)^5*log(512)^6 + 31104*z^4*log(2)^14*log(512)^4 - 31104*z^4*log(2)^3*log(512)^4 - 17496*z^4*log(2)^4*log(
512)^6 + 12960*z^4*log(2)^7*log(512)^6 + 11016*z^4*log(2)^8*log(512)^6 + 10368*z^4*log(2)^3*log(512)^6 - 576*z
^4*log(2)^4*log(512)^7 + 288*z^4*log(2)^5*log(512)^7 + 288*z^4*log(2)^3*log(512)^7 + 4032338112*z^4*log(2)^7*l
og(512)^2 + 14166091296*z^4*log(2)^9*log(512) + 3883062240*z^4*log(2)^13*log(512)^2 - 3878810712*z^4*log(2)^8*
log(512)^2 - 7275781584*z^4*log(2)^10*log(512)^2 - 175729824*z^4*log(2)^16*log(512) + 62355744*z^4*log(2)^17*l
og(512) - 62355744*z^4*log(2)^6*log(512) - 25571523744*z^4*log(2)^8*log(512) - 25313597712*z^4*log(2)^14*log(5
12) - 7692431328*z^4*log(2)^15*log(512) + 6031501056*z^4*log(2)^9*log(512)^2 + 29020930128*z^4*log(2)^12*log(5
12) - 24505807392*z^4*log(2)^10*log(512) - 2865529872*z^4*log(2)^13*log(512) - 2681296992*z^4*log(2)^7*log(512
) + 45618895440*z^4*log(2)^11*log(512) + 856919088*z^4*log(2)^14*log(512)^2 - 20509371072*z^4*log(2)^10 + 2029
2543144*z^4*log(2)^16 + 6836457024*z^4*log(2)^8 + 41018742144*z^4*log(2)^11 - 65813653440*z^4*log(2)^13 - 1086
69055680*z^4*log(2)^12 + 969348384*z^4*log(2)^17 + 5242134024*z^4*log(2)^14 + 60405709824*z^4*log(2)^9 - 25509
1680*z^4*log(2)^18 + 255091680*z^4*log(2)^7 + 60227145648*z^4*log(2)^15 + 1475452481616*z^3*log(2)^8*log(512)
+ 22117316976*z^3*log(2)^6*log(512)^3 - 621084672*z^3*log(2)^4*log(512)^4 - 603895824*z^3*log(2)^5*log(512)^4
- 309305952*z^3*log(2)^7*log(512)^4 - 465747334128*z^3*log(2)^12*log(512) - 478630408752*z^3*log(2)^11*log(512
) - 66301161984*z^3*log(2)^4*log(512) + 267618816*z^3*log(2)^2*log(512)^3 - 111918902688*z^3*log(2)^6*log(512)
^2 - 197424864*z^3*log(2)^14*log(512)^2 - 49007520720*z^3*log(2)^14*log(512) + 135492912*z^3*log(2)^6*log(512)
^4 - 70267824*z^3*log(2)^8*log(512)^4 + 67524192*z^3*log(2)^12*log(512)^3 - 58032288*z^3*log(2)^10*log(512)^4
- 39474864*z^3*log(2)^11*log(512)^4 - 38584512*z^3*log(2)^2*log(512)^4 + 297990542304*z^3*log(2)^7*log(512) -
33277392*z^3*log(2)^15*log(512)^2 - 28405728*z^3*log(2)^9*log(512)^4 + 27031968*z^3*log(2)^13*log(512)^3 - 232
28208*z^3*log(2)^5*log(512)^5 + 19455552*z^3*log(2)^2*log(512)^5 - 18719424*z^3*log(2)^3*log(512)^5 - 16097616
*z^3*log(2)^4*log(512)^5 + 5266944*z^3*log(2)^6*log(512)^5 - 5159376*z^3*log(2)^14*log(512)^3 + 4191264*z^3*lo
g(2)^9*log(512)^5 + 3387744*z^3*log(2)^8*log(512)^5 + 1819584*z^3*log(2)^16*log(512)^2 + 1678320*z^3*log(2)^10
*log(512)^5 + 1363392*z^3*log(2)^2*log(512)^6 - 1127520*z^3*log(2)^12*log(512)^4 - 662256*z^3*log(2)^7*log(512
)^5 + 653520*z^3*log(2)^3*log(512)^6 + 575808*z^3*log(2)^4*log(512)^6 + 373248*z^3*log(2)^13*log(512)^4 + 3468
48*z^3*log(2)^6*log(512)^6 + 247824*z^3*log(2)^5*log(512)^6 - 176256*z^3*log(2)^15*log(512)^3 - 139968*z^3*log
(2)^17*log(512)^2 + 104448*z^3*log(2)^7*log(512)^6 + 20736*z^3*log(2)^16*log(512)^3 + 15120*z^3*log(2)^2*log(5
12)^7 + 7200*z^3*log(2)^3*log(512)^7 + 3600*z^3*log(2)^4*log(512)^7 - 1451188224*z^3*log(2)^3*log(512) - 41092
01280*z^3*log(2)^3*log(512)^3 + 59897625984*z^3*log(2)^10*log(512)^2 - 679901838336*z^3*log(2)^5*log(512) + 12
253218624*z^3*log(2)^9*log(512)^2 + 3509987904*z^3*log(2)^7*log(512)^3 + 764330256*z^3*log(2)^16*log(512) + 33
394965120*z^3*log(2)^12*log(512)^2 - 3213669168*z^3*log(2)^10*log(512)^3 + 11794778064*z^3*log(2)^4*log(512)^3
- 269372440080*z^3*log(2)^7*log(512)^2 - 322397777232*z^3*log(2)^6*log(512) + 272727648*z^3*log(2)^15*log(512
) - 72907776*z^3*log(2)*log(512)^4 + 17915904*z^3*log(2)*log(512)^3 + 10077696*z^3*log(2)^17*log(512) - 251942
4*z^3*log(2)^18*log(512) + 746496*z^3*log(2)*log(512)^5 + 497664*z^3*log(2)*log(512)^6 + 11520*z^3*log(2)*log(
512)^7 + 2623933440*z^3*log(2)^8*log(512)^3 + 6439647744*z^3*log(2)^3*log(512)^2 - 2040274656*z^3*log(2)^9*log
(512)^3 + 14879943648*z^3*log(2)^5*log(512)^3 + 91606396608*z^3*log(2)^4*log(512)^2 - 1324890432*z^3*log(2)^11
*log(512)^3 + 65631100176*z^3*log(2)^11*log(512)^2 - 56902520736*z^3*log(2)^8*log(512)^2 - 1025358912*z^3*log(
2)^3*log(512)^4 - 247433260896*z^3*log(2)^13*log(512) - 230214572496*z^3*log(2)^10*log(512) - 22368321072*z^3*
log(2)^5*log(512)^2 + 307432398672*z^3*log(2)^9*log(512) + 5147253216*z^3*log(2)^13*log(512)^2 - 63325092384*z
^3*log(2)^8 - 574380488016*z^3*log(2)^10 - 2871198576*z^3*log(2)^17 + 621012191904*z^3*log(2)^14 + 11491908527
52*z^3*log(2)^13 - 3090345948720*z^3*log(2)^9 + 6530347008*z^3*log(2)^4 + 1385010828720*z^3*log(2)^7 + 1348065
05040*z^3*log(2)^15 + 182033422848*z^3*log(2)^5 + 735999018192*z^3*log(2)^11 + 1228219200*z^3*log(2)^16 + 1727
359924608*z^3*log(2)^6 + 1259129698128*z^3*log(2)^12 - 109594944*z^3*log(2)^18 + 18895680*z^3*log(2)^19 + 2985
984*z^3*log(512)^5 - 995328*z^3*log(512)^4 + 331776*z^3*log(512)^6 + 9216*z^3*log(512)^7 + 1357982413056*z^2*l
og(2)^4*log(512)^2 - 10893864960*z^2*log(2)*log(512)^3 - 26468881920*z^2*log(2)^6*log(512)^3 - 4982881536*z^2*
log(2)^9*log(512)^3 - 517185216*z^2*log(2)^7*log(512)^4 - 506853504*z^2*log(2)^6*log(512)^4 - 8020766022912*z^
2*log(2)^6*log(512) - 326453760*z^2*log(2)^8*log(512)^4 + 38873592576*z^2*log(2)^11*log(512)^2 + 365229419904*
z^2*log(2)^9*log(512)^2 + 386697805056*z^2*log(2)^3*log(512)^2 - 129544704*z^2*log(2)^9*log(512)^4 + 125349120
*z^2*log(2)^2*log(512)^5 + 117884160*z^2*log(2)^11*log(512)^3 - 99097344*z^2*log(2)^13*log(512)^2 + 67972608*z
^2*log(2)^3*log(512)^5 + 53167104*z^2*log(2)^4*log(512)^5 - 44105472*z^2*log(2)^2*log(512)^4 + 38003328*z^2*lo
g(2)^5*log(512)^5 - 34689600*z^2*log(2)^10*log(512)^4 + 33860736*z^2*log(2)^6*log(512)^5 + 19813248*z^2*log(2)
^7*log(512)^5 - 7278336*z^2*log(2)^14*log(512)^2 + 6959232*z^2*log(2)^8*log(512)^5 + 3421440*z^2*log(2)^12*log
(512)^3 + 2576448*z^2*log(2)^2*log(512)^6 + 1973760*z^2*log(2)^3*log(512)^6 - 1886976*z^2*log(2)^13*log(512)^3
+ 1387008*z^2*log(2)^9*log(512)^5 + 1100160*z^2*log(2)^4*log(512)^6 + 345600*z^2*log(2)^5*log(512)^6 + 119808
*z^2*log(2)^12*log(512)^4 + 52800*z^2*log(2)^6*log(512)^6 + 13824*z^2*log(2)^11*log(512)^4 - 5408820375552*z^2
*log(2)^8*log(512) + 9877635072*z^2*log(2)*log(512)^2 - 25151109120*z^2*log(2)^4*log(512)^3 + 912031488*z^2*lo
g(2)^14*log(512) - 9600159336192*z^2*log(2)^5*log(512) + 3571703424*z^2*log(2)^12*log(512)^2 + 621912256128*z^
2*log(2)^8*log(512)^2 - 2727646835328*z^2*log(2)^10*log(512) - 962379657216*z^2*log(2)^3*log(512) + 240185088*
z^2*log(2)^15*log(512) - 2926840320*z^2*log(2)^3*log(512)^4 - 1719926784*z^2*log(2)*log(512) - 309312203904*z^
2*log(2)^12*log(512) + 67792896*z^2*log(2)*log(512)^5 - 64696320*z^2*log(2)*log(512)^4 + 1889280*z^2*log(2)*lo
g(512)^6 + 144285779520*z^2*log(2)^10*log(512)^2 - 71194256640*z^2*log(2)^3*log(512)^3 - 81374035968*z^2*log(2
)^2*log(512) - 7352678603520*z^2*log(2)^7*log(512) - 28043304192*z^2*log(2)^7*log(512)^3 - 1103044977792*z^2*l
og(2)^11*log(512) + 719124511104*z^2*log(2)^7*log(512)^2 + 152159772672*z^2*log(2)^2*log(512)^2 - 31891864320*
z^2*log(2)^5*log(512)^3 - 14698008576*z^2*log(2)^8*log(512)^3 - 1686042432*z^2*log(2)^4*log(512)^4 - 230792302
08*z^2*log(2)^2*log(512)^3 + 993650747904*z^2*log(2)^5*log(512)^2 - 37282436352*z^2*log(2)^13*log(512) - 45383
92136064*z^2*log(2)^9*log(512) + 937568882880*z^2*log(2)^6*log(512)^2 - 1216365120*z^2*log(2)^5*log(512)^4 - 2
339115542784*z^2*log(2)^4*log(512) - 991595520*z^2*log(2)^10*log(512)^3 + 2318998781952*z^2*log(2)^4 + 1915937
6772672*z^2*log(2)^8 + 11410942428288*z^2*log(2)^10 + 7739670528*z^2*log(2)^2 + 2816627852160*z^2*log(2)^12 +
20833560474624*z^2*log(2)^7 + 105993427392*z^2*log(2)^14 - 2766327552*z^2*log(2)^15 + 221548068864*z^2*log(2)^
3 + 796929083136*z^2*log(2)^13 + 24049726142976*z^2*log(2)^6 + 13518283140288*z^2*log(2)^9 + 6890230350144*z^2
*log(2)^11 + 4862916622080*z^2*log(2)^5 - 982575360*z^2*log(2)^16 - 396804096*z^2*log(512)^3 + 298598400*z^2*l
og(512)^4 + 95551488*z^2*log(512)^2 + 35831808*z^2*log(512)^5 + 1019904*z^2*log(512)^6 + 785658175488*z*log(2)
^2*log(512) + 15238188288*z*log(2)^10*log(512)^2 + 242866957824*z*log(2)^8*log(512)^2 - 109690827264*z*log(2)^
3*log(512)^3 - 2018573568*z*log(2)^8*log(512)^3 + 366904083456*z*log(2)^2*log(512)^2 - 27597853440*z*log(2)^6*
log(512)^3 - 74756328192*z*log(2)^4*log(512)^3 - 5952144384*z*log(2)^7*log(512)^3 - 1940058501120*z*log(2)^3*l
og(512) - 11503689984*z*log(2)^12*log(512) - 7845337907712*z*log(2)^7*log(512) - 1029572352*z*log(2)^5*log(512
)^4 + 958934016*z*log(2)^2*log(512)^4 - 854090496*z*log(2)^4*log(512)^4 - 823350528*z*log(2)^3*log(512)^4 + 72
0603648*z*log(2)^11*log(512)^2 - 673574400*z*log(2)^6*log(512)^4 + 60734921472*z*log(2)^9*log(512)^2 + 1164487
249152*z*log(2)^6*log(512)^2 - 491380992*z*log(2)^9*log(512)^3 - 12289940752896*z*log(2)^5*log(512) - 47868944
0256*z*log(2)^10*log(512) - 113535696384*z*log(2)^11*log(512) + 16307453952*z*log(2)*log(512) - 149066496*z*lo
g(2)^7*log(512)^4 + 134305024*z*log(2)^2*log(512)^5 + 117656320*z*log(2)^3*log(512)^5 + 77220864*z*log(2)^10*l
og(512)^3 + 74749696*z*log(2)^4*log(512)^5 - 62290944*z*log(2)^12*log(512)^2 - 68772374784*z*log(2)^2*log(512)
^3 - 39746304*z*log(2)^8*log(512)^4 + 32734720*z*log(2)^5*log(512)^5 - 10241280*z*log(2)^9*log(512)^4 + 967552
0*z*log(2)^6*log(512)^5 + 2195200*z*log(2)^7*log(512)^5 + 1548288*z*log(2)^11*log(512)^3 + 995328*z*log(2)^13*
log(512)^2 - 663552*z*log(2)^12*log(512)^3 + 313600*z*log(2)^8*log(512)^5 + 55296*z*log(2)^10*log(512)^4 + 276
48*z*log(2)^11*log(512)^4 - 87372988416*z*log(2)*log(512)^2 - 31432790016*z*log(2)*log(512)^3 - 5464534855680*
z*log(2)^8*log(512) + 708395362560*z*log(2)^7*log(512)^2 - 59830292736*z*log(2)^5*log(512)^3 - 2049835838976*z
*log(2)^9*log(512) + 1084096512*z*log(2)*log(512)^4 - 5464136040192*z*log(2)^4*log(512) - 9629929907712*z*log(
2)^6*log(512) + 491194368*z*log(2)^13*log(512) + 977839858944*z*log(2)^3*log(512)^2 + 1832457074688*z*log(2)^4
*log(512)^2 + 93933568*z*log(2)*log(512)^5 + 67184640*z*log(2)^14*log(512) + 1437118702848*z*log(2)^5*log(512)
^2 + 30306807465984*z*log(2)^6 + 14260753893888*z*log(2)^9 - 61487382528*z*log(2)^2 + 10334955504384*z*log(2)^
5 + 5601781380096*z*log(2)^10 - 1052835840*z*log(512)^2 + 1008009216*z*log(512)^4 - 866681856*z*log(2)^14 + 22
231542942720*z*log(2)^7 - 2293235712*z*log(2) + 4042251205632*z*log(2)^4 - 382952448*z*log(2)^15 + 45039616*z*
log(512)^5 + 1266911953920*z*log(2)^11 - 2392041922560*z*log(2)^3 + 3289890816*z*log(512)^3 + 37545576192*z*lo
g(2)^13 + 254803968*z*log(512) + 18557057097216*z*log(2)^8 + 276895895040*z*log(2)^12 - 45158400*log(2)^8*log(
512)^3 - 7962624*log(2)^10*log(512)^2 - 3981312*log(2)^11*log(512)^2 + 420850612224*log(2)^4*log(512)^2 - 3360
145047552*log(2)^5*log(512) - 16942510080*log(2)^3*log(512)^3 - 5549908451328*log(2)^4*log(512) - 17988397056*
log(2)^10*log(512) - 13526433792*log(2)*log(512)^3 + 7620120576*log(2)^8*log(512)^2 + 565890306048*log(2)^3*lo
g(512)^2 - 1580963401728*log(2)^2*log(512) + 346595742720*log(2)^2*log(512)^2 + 32898299904*log(2)^7*log(512)^
2 + 104509440*log(2)^12*log(512) - 100528128*log(2)^11*log(512) - 1344195274752*log(2)^7*log(512) - 2916012275
712*log(2)^3*log(512) - 10763956224*log(2)^4*log(512)^3 - 19339923456*log(2)^2*log(512)^3 + 1576350720*log(2)^
9*log(512)^2 - 1393274880*log(2)^6*log(512)^3 - 50234535936*log(2)^9*log(512) + 143079367680*log(2)^6*log(512)
^2 + 289048200192*log(2)^5*log(512)^2 - 64513179648*log(2)*log(512) + 174375714816*log(2)*log(512)^2 - 2699548
342272*log(2)^6*log(512) - 4713799680*log(2)^5*log(512)^3 - 294051078144*log(2)^8*log(512) - 316108800*log(2)^
7*log(512)^3 + 4791794651136*log(2)^3 + 18050171756544*log(2)^5 + 8704281212928*log(2)^6 + 2553016320*log(2)^1
2 - 6485704704*log(512)^3 + 272608395264*log(2)^2 + 7665352704*log(2) + 929048942592*log(2)^9 - 689762304*log(
2)^13 + 90815385600*log(2)^10 + 4076454159360*log(2)^8 + 60658025472*log(2)^11 + 8125778912256*log(2)^4 + 3947
692032*log(512)^2 - 1082916864*log(512) + 8542021100544*log(2)^7 + 169869312, z, k), k, 1, 5) - (log(439138713
6*log(512) - 29829980160*log(2) + 13539944448*log(2)*log(512) + x*(177465987072*log(2)*log(512) - 772872192*lo
g(512) - 3345795072*log(2) + 21501075456*log(2)*log(512)^2 - 421705294848*log(2)^2*log(512) - 607877167104*log
(2)^3*log(512) - 327405680640*log(2)^4*log(512) - 102066158592*log(2)^5*log(512) - 33193939968*log(2)^6*log(51
2) - 6918524928*log(2)^7*log(512) - 1419835392*log(2)^8*log(512) - 235146240*log(2)^9*log(512) - 797571256320*
log(2)^2 + 1996405761024*log(2)^3 + 2590259005440*log(2)^4 + 1508102572032*log(2)^5 + 487756753920*log(2)^6 +
141407990784*log(2)^7 + 30367457280*log(2)^8 + 5119469568*log(2)^9 + 1551965184*log(2)^10 - 9473531904*log(512
)^2 + 36350373888*log(2)^2*log(512)^2 + 17184337920*log(2)^3*log(512)^2 + 5614645248*log(2)^4*log(512)^2 + 181
9459584*log(2)^5*log(512)^2 + 440930304*log(2)^6*log(512)^2 + 80621568*log(2)^7*log(512)^2 + 8957952*log(2)^8*
log(512)^2 + 1427300352) - 16289538048*log(2)*log(512)^2 + 323408194560*log(2)^2*log(512) + 366476285952*log(2
)^3*log(512) + 357864210432*log(2)^4*log(512) + 188617890816*log(2)^5*log(512) + 55698803712*log(2)^6*log(512)
+ 11373613056*log(2)^7*log(512) + 2366392320*log(2)^8*log(512) + 391910400*log(2)^9*log(512) - 25071814656*lo
g(2)^2 - 1541725498368*log(2)^3 - 1597323773952*log(2)^4 - 1558561222656*log(2)^5 - 900784032768*log(2)^6 - 24
6847564800*log(2)^7 - 48832782336*log(2)^8 - 8532449280*log(2)^9 - 2586608640*log(2)^10 - 1555365888*log(512)^
2 - 21645398016*log(2)^2*log(512)^2 - 20059508736*log(2)^3*log(512)^2 - 10097602560*log(2)^4*log(512)^2 - 2997
927936*log(2)^5*log(512)^2 - 732229632*log(2)^6*log(512)^2 - 134369280*log(2)^7*log(512)^2 - 14929920*log(2)^8
*log(512)^2 + ((8*log(2)^2 - 16*log(2) + 8)*(1915674624*log(512) - 15294210048*log(2) - x*(1649009664*log(512)
- 12777772032*log(2) - 86424454656*log(2)*log(512) - 232649459712*log(2)*log(512)^2 + 2311107697152*log(2)^2*
log(512) + 4162212864*log(2)*log(512)^3 + 1196724160512*log(2)^3*log(512) - 149313024*log(2)*log(512)^4 - 1045
04214528*log(2)^4*log(512) - 597621431808*log(2)^5*log(512) - 439621198848*log(2)^6*log(512) - 185462078976*lo
g(2)^7*log(512) - 47900657664*log(2)^8*log(512) - 11916315648*log(2)^9*log(512) - 2280918528*log(2)^10*log(512
) - 151165440*log(2)^11*log(512) + 417820343040*log(2)^2 - 7615018759680*log(2)^3 - 3368515051008*log(2)^4 + 1
99649422080*log(2)^5 + 2199676808448*log(2)^6 + 1726998713856*log(2)^7 + 753263172864*log(2)^8 + 185130074880*
log(2)^9 + 42810052608*log(2)^10 + 8757517824*log(2)^11 + 861643008*log(2)^12 + 4326918912*log(512)^2 + 779969
4336*log(512)^3 + 65788416*log(512)^4 - 134769899520*log(2)^2*log(512)^2 + 2150074368*log(2)^2*log(512)^3 + 26
60988672*log(2)^3*log(512)^2 - 252433152*log(2)^2*log(512)^4 + 2970362880*log(2)^3*log(512)^3 + 32251613184*lo
g(2)^4*log(512)^2 - 119335680*log(2)^3*log(512)^4 + 1627776000*log(2)^4*log(512)^3 + 23006446848*log(2)^5*log(
512)^2 - 38990592*log(2)^4*log(512)^4 + 424092672*log(2)^5*log(512)^3 + 10435682304*log(2)^6*log(512)^2 - 1263
5136*log(2)^5*log(512)^4 + 144211968*log(2)^6*log(512)^3 + 2827415808*log(2)^7*log(512)^2 - 3062016*log(2)^6*l
og(512)^4 + 26459136*log(2)^7*log(512)^3 + 793463040*log(2)^8*log(512)^2 - 559872*log(2)^7*log(512)^4 + 696729
6*log(2)^8*log(512)^3 + 128957184*log(2)^9*log(512)^2 - 62208*log(2)^8*log(512)^4 + 1492992*log(2)^9*log(512)^
3 - 2239488*log(2)^10*log(512)^2 - 203046912) - 9087427584*log(2)*log(512) - 59528390400*log(2)*log(512)^2 + 6
92511565824*log(2)^2*log(512) + 116370432*log(2)*log(512)^3 - 178670665728*log(2)^3*log(512) - 113121792*log(2
)*log(512)^4 - 242746771968*log(2)^4*log(512) - 622482693120*log(2)^5*log(512) - 665234394624*log(2)^6*log(512
) - 317564582400*log(2)^7*log(512) - 89764360704*log(2)^8*log(512) - 19959312384*log(2)^9*log(512) - 372314880
0*log(2)^10*log(512) - 251942400*log(2)^11*log(512) + 74108390400*log(2)^2 - 2578524274944*log(2)^3 + 82544093
7984*log(2)^4 + 701544623616*log(2)^5 + 1960580298240*log(2)^6 + 2363565526272*log(2)^7 + 1240082701056*log(2)
^8 + 346757842944*log(2)^9 + 73014027264*log(2)^10 + 14078541312*log(2)^11 + 1436071680*log(2)^12 - 16422912*l
og(512)^2 + 1636098048*log(512)^3 - 10801152*log(512)^4 + 8918719488*log(2)^2*log(512)^2 + 1062180864*log(2)^2
*log(512)^3 + 18652073472*log(2)^3*log(512)^2 - 150315264*log(2)^2*log(512)^4 + 282949632*log(2)^3*log(512)^3
+ 53907275520*log(2)^4*log(512)^2 - 139302144*log(2)^3*log(512)^4 + 876469248*log(2)^4*log(512)^3 + 4858017638
4*log(2)^5*log(512)^2 - 70122240*log(2)^4*log(512)^4 + 713816064*log(2)^5*log(512)^3 + 19023081984*log(2)^6*lo
g(512)^2 - 20818944*log(2)^5*log(512)^4 + 217672704*log(2)^6*log(512)^3 + 5484132864*log(2)^7*log(512)^2 - 508
4928*log(2)^6*log(512)^4 + 43047936*log(2)^7*log(512)^3 + 1328908032*log(2)^8*log(512)^2 - 933120*log(2)^7*log
(512)^4 + 11612160*log(2)^8*log(512)^3 + 211942656*log(2)^9*log(512)^2 - 103680*log(2)^8*log(512)^4 + 2488320*
log(2)^9*log(512)^3 - 3732480*log(2)^10*log(512)^2 - ((8*log(2)^2 - 16*log(2) + 8)*(1289945088*log(2) - 143327
232*log(512) + 3453290496*log(2)*log(512) + x*(156764160*log(512) - 1410877440*log(2) - 8055438336*log(2)*log(
512) - 83711703744*log(2)*log(512)^2 + 793069185600*log(2)^2*log(512) - 36402037632*log(2)*log(512)^3 - 291543
7981824*log(2)^3*log(512) + 515512512*log(2)*log(512)^4 - 3861340746048*log(2)^4*log(512) + 63653184*log(2)*lo
g(512)^5 - 3474273658752*log(2)^5*log(512) - 2014183749888*log(2)^6*log(512) - 388808989056*log(2)^7*log(512)
+ 112072657536*log(2)^8*log(512) + 67989456000*log(2)^9*log(512) + 26076738240*log(2)^10*log(512) + 6538745088
*log(2)^11*log(512) + 615999168*log(2)^12*log(512) + 42146604288*log(2)^2 - 2512590062400*log(2)^3 + 678845695
7952*log(2)^4 + 7645571301312*log(2)^5 + 7256608767360*log(2)^6 + 4606580346624*log(2)^7 + 692488880640*log(2)
^8 - 560889287424*log(2)^9 - 304802434944*log(2)^10 - 97141851072*log(2)^11 - 23536459008*log(2)^12 - 26416160
64*log(2)^13 + 374720256*log(512)^2 + 2956948416*log(512)^3 + 1050478848*log(512)^4 + 42134592*log(512)^5 + 48
2658994944*log(2)^2*log(512)^2 - 46047356928*log(2)^2*log(512)^3 + 676601672832*log(2)^3*log(512)^2 - 23159520
0*log(2)^2*log(512)^4 - 34432952256*log(2)^3*log(512)^3 + 578695254336*log(2)^4*log(512)^2 + 42943680*log(2)^2
*log(512)^5 - 498671424*log(2)^3*log(512)^4 - 13585682880*log(2)^4*log(512)^3 + 298284420672*log(2)^5*log(512)
^2 + 17010624*log(2)^3*log(512)^5 - 245073600*log(2)^4*log(512)^4 - 2685690432*log(2)^5*log(512)^3 + 662731839
36*log(2)^6*log(512)^2 + 4487040*log(2)^4*log(512)^5 - 5588352*log(2)^5*log(512)^4 - 1105436160*log(2)^6*log(5
12)^3 + 1602571392*log(2)^7*log(512)^2 + 935424*log(2)^5*log(512)^5 + 13056768*log(2)^6*log(512)^4 - 479654784
*log(2)^7*log(512)^3 - 1214020224*log(2)^8*log(512)^2 + 156288*log(2)^6*log(512)^5 + 3825792*log(2)^7*log(512)
^4 - 44587584*log(2)^8*log(512)^3 - 1720668096*log(2)^9*log(512)^2 + 2042496*log(2)^8*log(512)^4 - 21772800*lo
g(2)^9*log(512)^3 - 405440640*log(2)^10*log(512)^2 + 300672*log(2)^9*log(512)^4 - 4992192*log(2)^10*log(512)^3
- 15256512*log(2)^11*log(512)^2) + 35783845632*log(2)*log(512)^2 - 349201870848*log(2)^2*log(512) + 975706041
6*log(2)*log(512)^3 + 721427684544*log(2)^3*log(512) - 178640640*log(2)*log(512)^4 + 495423174528*log(2)^4*log
(512) - 20945088*log(2)*log(512)^5 + 921065862528*log(2)^5*log(512) + 871060055040*log(2)^6*log(512) + 8448118
5600*log(2)^7*log(512) - 236427087168*log(2)^8*log(512) - 146765685888*log(2)^9*log(512) - 50241233664*log(2)^
10*log(512) - 10664255232*log(2)^11*log(512) - 976276800*log(2)^12*log(512) - 20961607680*log(2)^2 + 114233875
4304*log(2)^3 - 1750252670784*log(2)^4 - 82244077056*log(2)^5 - 1201334426496*log(2)^6 - 1614608142336*log(2)^
7 + 161083152576*log(2)^8 + 934563956544*log(2)^9 + 552086419968*log(2)^10 + 184051481472*log(2)^11 + 39326529
024*log(2)^12 + 4115479104*log(2)^13 - 124913664*log(512)^2 - 1231842816*log(512)^3 - 307611648*log(512)^4 - 1
3118976*log(512)^5 - 121447574208*log(2)^2*log(512)^2 + 12139673472*log(2)^2*log(512)^3 - 139255096320*log(2)^
3*log(512)^2 - 167949504*log(2)^2*log(512)^4 + 16328478528*log(2)^3*log(512)^3 - 205592789952*log(2)^4*log(512
)^2 - 20948544*log(2)^2*log(512)^5 + 102914496*log(2)^3*log(512)^4 + 9466279488*log(2)^4*log(512)^3 - 15511211
7696*log(2)^5*log(512)^2 - 12033792*log(2)^3*log(512)^5 + 132503040*log(2)^4*log(512)^4 + 2083568832*log(2)^5*
log(512)^3 - 32087710656*log(2)^6*log(512)^2 - 3787776*log(2)^4*log(512)^5 - 8218368*log(2)^5*log(512)^4 + 676
593216*log(2)^6*log(512)^3 + 12069487296*log(2)^7*log(512)^2 - 751680*log(2)^5*log(512)^5 - 25748928*log(2)^6*
log(512)^4 + 367747776*log(2)^7*log(512)^3 + 8815324608*log(2)^8*log(512)^2 - 77760*log(2)^6*log(512)^5 - 1217
7216*log(2)^7*log(512)^4 + 116510400*log(2)^8*log(512)^3 + 3304566720*log(2)^9*log(512)^2 - 3390336*log(2)^8*l
og(512)^4 + 38333952*log(2)^9*log(512)^3 + 629016192*log(2)^10*log(512)^2 - 480384*log(2)^9*log(512)^4 + 78226
56*log(2)^10*log(512)^3 + 26174016*log(2)^11*log(512)^2 + ((8*log(2)^2 - 16*log(2) + 8)*(1555324416*log(2)*log
(512)^2 - 13756055040*log(2)^2*log(512) - 3322886976*log(2)*log(512)^3 - 297572947776*log(2)^3*log(512) - 1023
16608*log(2)*log(512)^4 - 567413650800*log(2)^4*log(512) + 11918016*log(2)*log(512)^5 - 1335974649552*log(2)^5
*log(512) + 361584*log(2)*log(512)^6 - 1300079471040*log(2)^6*log(512) - 1220784694704*log(2)^7*log(512) - 786
151932048*log(2)^8*log(512) - 291063386016*log(2)^9*log(512) - 33092004384*log(2)^10*log(512) + 23853906432*lo
g(2)^11*log(512) + 10825335072*log(2)^12*log(512) + 1381274208*log(2)^13*log(512) - 28343520*log(2)^14*log(512
) - 9447840*log(2)^15*log(512) + 40542571008*log(2)^3 + 703372792320*log(2)^4 + 1333729842768*log(2)^5 + 31641
45861312*log(2)^6 + 3215824601328*log(2)^7 + 3133679411664*log(2)^8 + 1962051828480*log(2)^9 + 691151066496*lo
g(2)^10 + 41092435296*log(2)^11 - 87516286704*log(2)^12 - 39329468352*log(2)^13 - 5597845200*log(2)^14 + 85030
560*log(2)^15 + 70858800*log(2)^16 - 58599936*log(512)^3 + 87713280*log(512)^4 + 9994752*log(512)^5 + 279936*l
og(512)^6 - x*(5671643328*log(2)*log(512)^2 - 50787808704*log(2)^2*log(512) - 8992477440*log(2)*log(512)^3 - 7
27105766400*log(2)^3*log(512) + 477944064*log(2)*log(512)^4 - 3032070726816*log(2)^4*log(512) + 51876288*log(2
)*log(512)^5 - 4472407161792*log(2)^5*log(512) + 531360*log(2)*log(512)^6 - 3405456292032*log(2)^6*log(512) -
2583075987648*log(2)^7*log(512) - 1394276325408*log(2)^8*log(512) - 447481195200*log(2)^9*log(512) - 825275122
56*log(2)^10*log(512) + 6889364928*log(2)^11*log(512) + 6844645152*log(2)^12*log(512) + 910141920*log(2)^13*lo
g(512) - 17006112*log(2)^14*log(512) - 5668704*log(2)^15*log(512) + 151592482368*log(2)^3 + 1636651212768*log(
2)^4 + 7006297064544*log(2)^5 + 10772093659248*log(2)^6 + 8417124116064*log(2)^7 + 6453040057200*log(2)^8 + 34
50443756832*log(2)^9 + 1088646259680*log(2)^10 + 167963699520*log(2)^11 - 36880588224*log(2)^12 - 24828923520*
log(2)^13 - 3619467504*log(2)^14 + 51018336*log(2)^15 + 42515280*log(2)^16 - 211118400*log(512)^3 + 250332768*
log(512)^4 + 17641152*log(512)^5 + 200880*log(512)^6 + 121239301824*log(2)^2*log(512)^2 - 31101099552*log(2)^2
*log(512)^3 + 478735279776*log(2)^3*log(512)^2 - 288217440*log(2)^2*log(512)^4 - 33665624352*log(2)^3*log(512)
^3 + 651145762656*log(2)^4*log(512)^2 + 44618688*log(2)^2*log(512)^5 - 642879072*log(2)^3*log(512)^4 - 1977038
6688*log(2)^4*log(512)^3 + 468462328416*log(2)^5*log(512)^2 + 391392*log(2)^2*log(512)^6 + 21915360*log(2)^3*l
og(512)^5 - 182510928*log(2)^4*log(512)^4 - 17367548256*log(2)^5*log(512)^3 + 359888380992*log(2)^6*log(512)^2
+ 85536*log(2)^3*log(512)^6 + 19960992*log(2)^4*log(512)^5 - 252901440*log(2)^5*log(512)^4 - 8294768064*log(2
)^6*log(512)^3 + 192346684992*log(2)^7*log(512)^2 + 3888*log(2)^4*log(512)^6 + 10633248*log(2)^5*log(512)^5 -
169122384*log(2)^6*log(512)^4 - 2088789120*log(2)^7*log(512)^3 + 61000923744*log(2)^8*log(512)^2 + 3017952*log
(2)^6*log(512)^5 - 45934560*log(2)^7*log(512)^4 - 464592672*log(2)^8*log(512)^3 + 12798044064*log(2)^9*log(512
)^2 + 661824*log(2)^7*log(512)^5 - 10335600*log(2)^8*log(512)^4 + 9090144*log(2)^9*log(512)^3 - 37266480*log(2
)^10*log(512)^2 + 1816128*log(2)^9*log(512)^4 - 16306272*log(2)^10*log(512)^3 - 454336128*log(2)^11*log(512)^2
+ 445392*log(2)^10*log(512)^4 - 6710688*log(2)^11*log(512)^3 - 32122656*log(2)^12*log(512)^2 - 69984*log(2)^1
2*log(512)^3 + 1889568*log(2)^13*log(512)^2 + 46656*log(2)^13*log(512)^3 - 314928*log(2)^14*log(512)^2) + 4718
1253248*log(2)^2*log(512)^2 - 3933065808*log(2)^2*log(512)^3 + 82979223984*log(2)^3*log(512)^2 - 71990208*log(
2)^2*log(512)^4 - 10229277456*log(2)^3*log(512)^3 + 196747908768*log(2)^4*log(512)^2 + 17931456*log(2)^2*log(5
12)^5 - 348907824*log(2)^3*log(512)^4 - 6359181696*log(2)^4*log(512)^3 + 174801521232*log(2)^5*log(512)^2 + 32
2704*log(2)^2*log(512)^6 + 9280800*log(2)^3*log(512)^5 - 159757920*log(2)^4*log(512)^4 - 6794812656*log(2)^5*l
og(512)^3 + 162166084992*log(2)^6*log(512)^2 + 136080*log(2)^3*log(512)^6 + 8255808*log(2)^4*log(512)^5 - 1142
07408*log(2)^5*log(512)^4 - 4669958448*log(2)^6*log(512)^3 + 107496473760*log(2)^7*log(512)^2 + 19440*log(2)^4
*log(512)^6 + 6276960*log(2)^5*log(512)^5 - 92434608*log(2)^6*log(512)^4 - 1615378464*log(2)^7*log(512)^3 + 41
129806752*log(2)^8*log(512)^2 + 2263104*log(2)^6*log(512)^5 - 35163072*log(2)^7*log(512)^4 - 212805792*log(2)^
8*log(512)^3 + 6283233504*log(2)^9*log(512)^2 + 361728*log(2)^7*log(512)^5 - 2374272*log(2)^8*log(512)^4 + 923
0112*log(2)^9*log(512)^3 - 1724440752*log(2)^10*log(512)^2 + 3032640*log(2)^9*log(512)^4 - 28841184*log(2)^10*
log(512)^3 - 703339200*log(2)^11*log(512)^2 + 657072*log(2)^10*log(512)^4 - 10132128*log(2)^11*log(512)^3 - 46
399392*log(2)^12*log(512)^2 - 116640*log(2)^12*log(512)^3 + 3149280*log(2)^13*log(512)^2 + 77760*log(2)^13*log
(512)^3 - 524880*log(2)^14*log(512)^2 - ((8*log(2)^2 - 16*log(2) + 8)*(7558272*log(2)*log(512)^3 + 204073344*l
og(2)^3*log(512) - 27888624*log(2)*log(512)^4 + 357128352*log(2)^4*log(512) - 1154736*log(2)*log(512)^5 - 5634
6917760*log(2)^5*log(512) + 58320*log(2)*log(512)^6 - 12192673716*log(2)^6*log(512) + 1620*log(2)*log(512)^7 -
114918093252*log(2)^7*log(512) - 131818625640*log(2)^8*log(512) - 165254767596*log(2)^9*log(512) - 1440077564
16*log(2)^10*log(512) - 73447271964*log(2)^11*log(512) - 13181862564*log(2)^12*log(512) + 1477405980*log(2)^13
*log(512) + 558367344*log(2)^14*log(512) + 5668704*log(2)^15*log(512) - 2834352*log(2)^16*log(512) - x*(680244
48*log(2)*log(512)^2 - 612220032*log(2)^2*log(512) - 299181600*log(2)*log(512)^3 - 23111306208*log(2)^3*log(51
2) + 151795296*log(2)*log(512)^4 - 247872585456*log(2)^4*log(512) + 11862288*log(2)*log(512)^5 - 354549091680*
log(2)^5*log(512) + 14580*log(2)*log(512)^6 - 709700483160*log(2)^6*log(512) - 5832*log(2)*log(512)^7 - 823681
823076*log(2)^7*log(512) - 588517763400*log(2)^8*log(512) - 442507537296*log(2)^9*log(512) - 272389021668*log(
2)^10*log(512) - 122250561876*log(2)^11*log(512) - 21748691484*log(2)^12*log(512) + 1443393756*log(2)^13*log(5
12) + 628517556*log(2)^14*log(512) + 5668704*log(2)^15*log(512) - 2834352*log(2)^16*log(512) + 1836660096*log(
2)^3 + 50737735152*log(2)^4 + 529417272672*log(2)^5 + 817522067592*log(2)^6 + 1518271667136*log(2)^7 + 1759479
982452*log(2)^8 + 1330647484968*log(2)^9 + 1041909212376*log(2)^10 + 666063508356*log(2)^11 + 308820365100*log
(2)^12 + 59608548324*log(2)^13 - 3871016244*log(2)^14 - 2408490612*log(2)^15 - 80779032*log(2)^16 + 21257640*l
og(2)^17 - 2519424*log(512)^3 + 8503056*log(512)^4 - 1994544*log(512)^5 - 291600*log(512)^6 - 8748*log(512)^7
+ 3945417984*log(2)^2*log(512)^2 - 3855348576*log(2)^2*log(512)^3 + 44862123456*log(2)^3*log(512)^2 - 66029904
*log(2)^2*log(512)^4 - 2977982496*log(2)^3*log(512)^3 + 54717322824*log(2)^4*log(512)^2 + 1312200*log(2)^2*log
(512)^5 + 300587112*log(2)^3*log(512)^4 - 10081349748*log(2)^4*log(512)^3 + 125960413716*log(2)^5*log(512)^2 -
291600*log(2)^2*log(512)^6 + 8915184*log(2)^3*log(512)^5 + 268826040*log(2)^4*log(512)^4 - 11305439892*log(2)
^5*log(512)^3 + 145530669492*log(2)^6*log(512)^2 - 972*log(2)^2*log(512)^7 - 337068*log(2)^3*log(512)^6 + 1341
4572*log(2)^4*log(512)^5 + 7637004*log(2)^5*log(512)^4 - 5997471336*log(2)^6*log(512)^3 + 94811436360*log(2)^7
*log(512)^2 - 91152*log(2)^4*log(512)^6 + 6286896*log(2)^5*log(512)^5 + 5062176*log(2)^6*log(512)^4 - 39576301
92*log(2)^7*log(512)^3 + 67527964008*log(2)^8*log(512)^2 - 38664*log(2)^5*log(512)^6 + 4897908*log(2)^6*log(51
2)^5 - 44238636*log(2)^7*log(512)^4 - 1816644672*log(2)^8*log(512)^3 + 38658671712*log(2)^9*log(512)^2 + 21568
68*log(2)^7*log(512)^5 - 31868964*log(2)^8*log(512)^4 - 612499968*log(2)^9*log(512)^3 + 16292327688*log(2)^10*
log(512)^2 + 790236*log(2)^8*log(512)^5 - 18671148*log(2)^9*log(512)^4 + 39086064*log(2)^10*log(512)^3 + 22651
19640*log(2)^11*log(512)^2 - 279936*log(2)^10*log(512)^4 + 12238452*log(2)^11*log(512)^3 - 200058012*log(2)^12
*log(512)^2 + 297432*log(2)^11*log(512)^4 - 4201956*log(2)^12*log(512)^3 - 26375220*log(2)^13*log(512)^2 - 151
632*log(2)^13*log(512)^3 + 1732104*log(2)^14*log(512)^2 + 23328*log(2)^14*log(512)^3 - 157464*log(2)^15*log(51
2)^2) + 10331213040*log(2)^5 + 160456918248*log(2)^6 + 119214970884*log(2)^7 + 331935922836*log(2)^8 + 3762347
18832*log(2)^9 + 431085807324*log(2)^10 + 360049151736*log(2)^11 + 185343237396*log(2)^12 + 36076340844*log(2)
^13 - 4291917516*log(2)^14 - 2121512472*log(2)^15 - 80779032*log(2)^16 + 21257640*log(2)^17 - 279936*log(512)^
4 + 839808*log(512)^5 + 93312*log(512)^6 + 2592*log(512)^7 - 68024448*log(2)^2*log(512)^2 + 330674400*log(2)^2
*log(512)^3 - 1496537856*log(2)^3*log(512)^2 - 10252656*log(2)^2*log(512)^4 - 62379072*log(2)^3*log(512)^3 + 5
901278328*log(2)^4*log(512)^2 + 2099520*log(2)^2*log(512)^5 - 141682608*log(2)^3*log(512)^4 + 1961549460*log(2
)^4*log(512)^3 - 8360944740*log(2)^5*log(512)^2 + 189540*log(2)^2*log(512)^6 - 3094200*log(2)^3*log(512)^5 - 1
4580000*log(2)^4*log(512)^4 - 99593064*log(2)^5*log(512)^3 + 11664460728*log(2)^6*log(512)^2 + 1620*log(2)^2*l
og(512)^7 + 52164*log(2)^3*log(512)^6 + 2249856*log(2)^4*log(512)^5 - 89048808*log(2)^5*log(512)^4 + 255712788
*log(2)^6*log(512)^3 + 12835126836*log(2)^7*log(512)^2 + 108864*log(2)^4*log(512)^6 - 4212*log(2)^5*log(512)^5
- 23307588*log(2)^6*log(512)^4 - 754392528*log(2)^7*log(512)^3 + 21005855064*log(2)^8*log(512)^2 + 34992*log(
2)^5*log(512)^6 + 1037448*log(2)^6*log(512)^5 - 11984760*log(2)^7*log(512)^4 - 928495224*log(2)^8*log(512)^3 +
19897151040*log(2)^9*log(512)^2 + 1248372*log(2)^7*log(512)^5 - 17825508*log(2)^8*log(512)^4 - 380765448*log(
2)^9*log(512)^3 + 9833311872*log(2)^10*log(512)^2 + 487296*log(2)^8*log(512)^5 - 11483208*log(2)^9*log(512)^4
+ 24520644*log(2)^10*log(512)^3 + 1373479740*log(2)^11*log(512)^2 - 134136*log(2)^10*log(512)^4 + 8879220*log(
2)^11*log(512)^3 - 180217548*log(2)^12*log(512)^2 + 262440*log(2)^11*log(512)^4 - 3650832*log(2)^12*log(512)^3
- 24249456*log(2)^13*log(512)^2 - 151632*log(2)^13*log(512)^3 + 1732104*log(2)^14*log(512)^2 + 23328*log(2)^1
4*log(512)^3 - 157464*log(2)^15*log(512)^2 - ((8*log(2)^2 - 16*log(2) + 8)*(35075106*log(2)^15*log(512) - 5028
494742*log(2)^6*log(512) - 18223111890*log(2)^7*log(512) - 44811636561*log(2)^8*log(512) - 68597341398*log(2)^
9*log(512) - 84185037369*log(2)^10*log(512) - 51096457827*log(2)^11*log(512) - 22833894006*log(2)^12*log(512)
- 4304672100*log(2)^13*log(512) - 28697814*log(2)^14*log(512) - 229582512*log(2)^5*log(512) - x*(1732104*log(2
)*log(512)^5 - 344373768*log(2)^4*log(512) - 472392*log(2)*log(512)^4 - 14808072024*log(2)^5*log(512) + 104976
*log(2)*log(512)^6 - 163612614906*log(2)^6*log(512) - 251478944082*log(2)^7*log(512) - 462465272610*log(2)^8*l
og(512) - 438971328882*log(2)^9*log(512) - 251019779058*log(2)^10*log(512) - 79980807618*log(2)^11*log(512) -
23092174332*log(2)^12*log(512) - 4075089588*log(2)^13*log(512) - 28697814*log(2)^14*log(512) + 35075106*log(2)
^15*log(512) + 1033121304*log(2)^5 + 30993639120*log(2)^6 + 310079880270*log(2)^7 + 520951417542*log(2)^8 + 91
1471270454*log(2)^9 + 863517223260*log(2)^10 + 516818932326*log(2)^11 + 183120751134*log(2)^12 + 58543540560*l
og(2)^13 + 11106054018*log(2)^14 + 258280326*log(2)^15 - 143489070*log(2)^16 + 17496*log(512)^5 - 52488*log(51
2)^6 - 5832*log(512)^7 - 162*log(512)^8 + 2834352*log(2)^2*log(512)^3 + 25509168*log(2)^3*log(512)^2 - 1511654
4*log(2)^2*log(512)^4 - 93533616*log(2)^3*log(512)^3 + 2410616376*log(2)^4*log(512)^2 - 2991816*log(2)^2*log(5
12)^5 + 154927080*log(2)^3*log(512)^4 - 3345676974*log(2)^4*log(512)^3 + 33749692146*log(2)^5*log(512)^2 - 485
514*log(2)^2*log(512)^6 + 16813656*log(2)^3*log(512)^5 - 95305086*log(2)^4*log(512)^4 - 2572528734*log(2)^5*lo
g(512)^3 + 43397472060*log(2)^6*log(512)^2 - 17496*log(2)^2*log(512)^7 + 101088*log(2)^3*log(512)^6 + 1775844*
log(2)^4*log(512)^5 + 248084532*log(2)^5*log(512)^4 - 7826708754*log(2)^6*log(512)^3 + 89553122910*log(2)^7*lo
g(512)^2 - 5832*log(2)^3*log(512)^7 - 274104*log(2)^4*log(512)^6 + 6193584*log(2)^5*log(512)^5 + 215817534*log
(2)^6*log(512)^4 - 7449503742*log(2)^7*log(512)^3 + 85305846438*log(2)^8*log(512)^2 - 309096*log(2)^5*log(512)
^6 + 7851330*log(2)^6*log(512)^5 + 46255050*log(2)^7*log(512)^4 - 3520265184*log(2)^8*log(512)^3 + 45750692808
*log(2)^9*log(512)^2 - 108378*log(2)^6*log(512)^6 + 4142178*log(2)^7*log(512)^5 - 33185538*log(2)^8*log(512)^4
- 578207808*log(2)^9*log(512)^3 + 12209325534*log(2)^10*log(512)^2 + 433026*log(2)^8*log(512)^5 - 6784074*log
(2)^9*log(512)^4 - 107587278*log(2)^10*log(512)^3 + 3045156930*log(2)^11*log(512)^2 + 144342*log(2)^9*log(512)
^5 - 3385476*log(2)^10*log(512)^4 + 6022998*log(2)^11*log(512)^3 + 430467210*log(2)^12*log(512)^2 - 78732*log(
2)^11*log(512)^4 + 1771470*log(2)^12*log(512)^3 - 9565938*log(2)^13*log(512)^2 + 17496*log(2)^12*log(512)^4 -
275562*log(2)^13*log(512)^3 - 1062882*log(2)^14*log(512)^2) + 516560652*log(2)^6 + 7891898850*log(2)^7 + 33318
162054*log(2)^8 + 91172955078*log(2)^9 + 145239636654*log(2)^10 + 185832694557*log(2)^11 + 121520893383*log(2)
^12 + 57381279093*log(2)^13 + 11751754833*log(2)^14 + 258280326*log(2)^15 - 143489070*log(2)^16 + 78732*log(2)
^2*log(512)^4 - 2834352*log(2)^3*log(512)^3 + 38263752*log(2)^4*log(512)^2 - 236196*log(2)^2*log(512)^5 + 9666
540*log(2)^3*log(512)^4 - 157030974*log(2)^4*log(512)^3 + 1263766698*log(2)^5*log(512)^2 - 26244*log(2)^2*log(
512)^6 + 437400*log(2)^3*log(512)^5 + 10707552*log(2)^4*log(512)^4 - 356065470*log(2)^5*log(512)^3 + 380405467
8*log(2)^6*log(512)^2 - 729*log(2)^2*log(512)^7 - 20655*log(2)^3*log(512)^6 + 667035*log(2)^4*log(512)^5 + 171
24210*log(2)^5*log(512)^4 - 689278977*log(2)^6*log(512)^3 + 8362224135*log(2)^7*log(512)^2 - 729*log(2)^3*log(
512)^7 - 11664*log(2)^4*log(512)^6 + 406782*log(2)^5*log(512)^5 + 27687420*log(2)^6*log(512)^4 - 987712623*log
(2)^7*log(512)^3 + 12298607622*log(2)^8*log(512)^2 - 31347*log(2)^5*log(512)^6 + 859491*log(2)^6*log(512)^5 +
22537035*log(2)^7*log(512)^4 - 1052607474*log(2)^8*log(512)^3 + 14286728403*log(2)^9*log(512)^2 - 24543*log(2)
^6*log(512)^6 + 1353753*log(2)^7*log(512)^5 - 10097379*log(2)^8*log(512)^4 - 373071582*log(2)^9*log(512)^3 + 7
526798883*log(2)^10*log(512)^2 + 393660*log(2)^8*log(512)^5 - 5544045*log(2)^9*log(512)^4 - 120341862*log(2)^1
0*log(512)^3 + 3073854744*log(2)^11*log(512)^2 + 153090*log(2)^9*log(512)^5 - 3601989*log(2)^10*log(512)^4 + 6
731586*log(2)^11*log(512)^3 + 452787732*log(2)^12*log(512)^2 - 78732*log(2)^11*log(512)^4 + 1771470*log(2)^12*
log(512)^3 - 9565938*log(2)^13*log(512)^2 + 17496*log(2)^12*log(512)^4 - 275562*log(2)^13*log(512)^3 - 1062882
*log(2)^14*log(512)^2))/(27*log(2) - 3*log(512))))/(27*log(2) - 3*log(512))))/(27*log(2) - 3*log(512))))/(27*l
og(2) - 3*log(512)) - 191102976))/(27*log(2) - 3*log(512)) - 1385496576)*(8*log(2)^2 - 16*log(2) + 8))/(27*log
(2) - 3*log(512))

________________________________________________________________________________________

sympy [A]  time = 0.30, size = 48, normalized size = 1.41 \begin {gather*} \frac {4 x^{3} - 4 x^{2} - 4 x^{2} \log {\relax (2 )} + 4 x \log {\relax (2 )} + 4}{\left (x^{2} - x - x \log {\relax (2 )} + \log {\relax (2 )}\right ) \log {\left (2 - \frac {3 x}{2} \right )}} \end {gather*}

Verification of antiderivative is not currently implemented for this CAS.

[In]

integrate((((12*x**3-40*x**2+44*x-16)*ln(2)**2+(-24*x**4+80*x**3-88*x**2+44*x-16)*ln(2)+12*x**5-40*x**4+44*x**
3-40*x**2+44*x-16)*ln(2-3/2*x)+(-12*x**3+24*x**2-12*x)*ln(2)**2+(24*x**4-48*x**3+24*x**2+12*x-12)*ln(2)-12*x**
5+24*x**4-12*x**3-12*x**2+12*x)/((3*x**3-10*x**2+11*x-4)*ln(2)**2+(-6*x**4+20*x**3-22*x**2+8*x)*ln(2)+3*x**5-1
0*x**4+11*x**3-4*x**2)/ln(2-3/2*x)**2,x)

[Out]

(4*x**3 - 4*x**2 - 4*x**2*log(2) + 4*x*log(2) + 4)/((x**2 - x - x*log(2) + log(2))*log(2 - 3*x/2))

________________________________________________________________________________________