### Summary

You searched for: superseeker=-1083168,-32204207145918624

Your search produced exactly one match

1

New Number: 5.117 |  AESZ: 415  |  Superseeker: -1083168 -32204207145918624  |  Hash: 480ebcdf255c1fe6ad1cac7896e482fa

Degree: 5

$\theta^4-2^{4} 3^{2} x\left(45360\theta^4-2592\theta^3+3096\theta^2+4392\theta+695\right)+2^{15} 3^{9} x^{2}\left(24192\theta^4+7344\theta^3+14340\theta^2+3516\theta+335\right)-2^{24} 3^{16} x^{3}\left(23328\theta^4+28512\theta^3+25740\theta^2+9540\theta+1325\right)+2^{35} 3^{25} x^{4}(2\theta+1)(144\theta^3+288\theta^2+212\theta+45)-2^{46} 3^{31} x^{5}(2\theta+1)(3\theta+1)(3\theta+5)(2\theta+3)$

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Coefficients of the holomorphic solution: 1, 100080, 32388472080, 14040210456518400, 6986717866758049635600, ...
--> OEIS
Normalized instanton numbers (n0=1): -1083168, -148187321784, -32204207145918624, -9094164085684648886400, -2986312705706358630596895840, ... ; Common denominator:...

#### Discriminant

$-(-1+559872z)(2239488z-1)^2(746496z-1)^2$

#### Local exponents

$0$$\frac{ 1}{ 2239488}$$\frac{ 1}{ 746496}$$\frac{ 1}{ 559872}$$\infty$
$0$$0$$0$$0$$\frac{ 1}{ 3}$
$0$$1$$\frac{ 1}{ 2}$$1$$\frac{ 1}{ 2}$
$0$$3$$\frac{ 1}{ 2}$$1$$\frac{ 3}{ 2}$
$0$$4$$1$$2$$\frac{ 5}{ 3}$

#### Note:

This is operator "5.117" from ...