### Summary

You searched for: sol=-176

Your search produced exactly one match

1

New Number: 7.18 |  AESZ:  |  Superseeker: 352 26115552  |  Hash: df2c3b4e6a3366531b24bb05809eb1a4

Degree: 7

$\theta^4-2^{4} x\left(144\theta^4-192\theta^3-172\theta^2-76\theta-11\right)+2^{14} x^{2}\left(100\theta^4-320\theta^3-25\theta^2+155\theta+36\right)-2^{21} x^{3}\left(72\theta^4-1248\theta^3+628\theta^2-180\theta-97\right)-2^{30} x^{4}\left(212\theta^4+256\theta^3-14\theta^2+86\theta+15\right)+2^{36} 3 x^{5}\left(240\theta^4-320\theta^3-332\theta^2-380\theta-119\right)+2^{46} 3^{2} x^{6}\left(12\theta^4+64\theta^3+99\theta^2+67\theta+17\right)-2^{56} 3^{3} x^{7}\left((\theta+1)^4\right)$

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Coefficients of the holomorphic solution: 1, -176, 17168, -4715264, 653856016, ...
--> OEIS
Normalized instanton numbers (n0=1): 352, 60664, 26115552, 16623590600, 13165993300256, ... ; Common denominator:...

#### Discriminant

$-(256z-1)^2(256z+1)^2(768z-1)^3$

#### Local exponents

$-\frac{ 1}{ 256}$$0$$\frac{ 1}{ 768}$$\frac{ 1}{ 256}$$\infty$
$0$$0$$0$$0$$1$
$0$$0$$2$$\frac{ 1}{ 2}$$1$
$1$$0$$3$$\frac{ 1}{ 2}$$1$
$1$$0$$5$$1$$1$

#### Note:

This is operator "7.18" from ...