### Summary

You searched for: superseeker=1312,127846048

Your search produced exactly one match

1

New Number: 5.118 |  AESZ: 416  |  Superseeker: 1312 127846048  |  Hash: 3ae3241981d64d9c9cc38b29974fa202

Degree: 5

$\theta^4+2^{4} x\left(560\theta^4-32\theta^3+56\theta^2+72\theta+15\right)+2^{15} x^{2}\left(896\theta^4+272\theta^3+604\theta^2+196\theta+21\right)+2^{24} 3^{2} x^{3}\left(288\theta^4+352\theta^3+364\theta^2+164\theta+29\right)+2^{35} 3^{3} x^{4}(2\theta+1)(16\theta^3+32\theta^2+28\theta+9)+2^{46} 3^{3} x^{5}(2\theta+1)(\theta+1)^2(2\theta+3)$

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Coefficients of the holomorphic solution: 1, -240, 118032, -72810240, 50454043920, ...
--> OEIS
Normalized instanton numbers (n0=1): 1312, -301376, 127846048, -70845744192, 45645879602784, ... ; Common denominator:...

#### Discriminant

$(1+768z)(1024z+1)^2(3072z+1)^2$

#### Local exponents

$-\frac{ 1}{ 768}$$-\frac{ 1}{ 1024}$$-\frac{ 1}{ 3072}$$0$$\infty$
$0$$0$$0$$0$$\frac{ 1}{ 2}$
$1$$\frac{ 1}{ 2}$$1$$0$$1$
$1$$\frac{ 1}{ 2}$$3$$0$$1$
$2$$1$$4$$0$$\frac{ 3}{ 2}$

#### Note:

This is operator "5.118" from ...