Summary

You searched for: sol=161280

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1

New Number: 5.65 |  AESZ: 273  |  Superseeker: 63/5 14016/5  |  Hash: cf49bc645cb0404ce7bc9ca1d41d3152

Degree: 5

$5^{2} \theta^4-3 5 x\left(333\theta^4+882\theta^3+781\theta^2+340\theta+60\right)+2^{2} 3^{2} x^{2}\left(5184\theta^4+40662\theta^3+71829\theta^2+47700\theta+11540\right)+2^{2} 3^{5} x^{3}\left(8424\theta^4+9720\theta^3-46899\theta^2-63045\theta-21260\right)-2^{4} 3^{8} x^{4}\left(1296\theta^4+12312\theta^3+23094\theta^2+16263\theta+3956\right)-2^{6} 3^{11} x^{5}(3\theta+2)(3\theta+4)(6\theta+5)(6\theta+7)$

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Coefficients of the holomorphic solution: 1, 36, 2196, 161280, 13032900, ...
--> OEIS
Normalized instanton numbers (n0=1): 63/5, -747/4, 14016/5, -55584, 6071598/5, ... ; Common denominator:...

Discriminant

$-(-1+27z)(108z+5)^2(108z-1)^2$

Local exponents

$-\frac{ 5}{ 108}$$0$$\frac{ 1}{ 108}$$\frac{ 1}{ 27}$$\infty$
$0$$0$$0$$0$$\frac{ 2}{ 3}$
$1$$0$$\frac{ 1}{ 6}$$1$$\frac{ 5}{ 6}$
$3$$0$$\frac{ 5}{ 6}$$1$$\frac{ 7}{ 6}$
$4$$0$$1$$2$$\frac{ 4}{ 3}$

Note:

This is operator "5.65" from ...