### Summary

You searched for: superseeker=-4/7,955/63

Your search produced exactly one match

1

New Number: 9.1 |  AESZ:  |  Superseeker: -4/7 955/63  |  Hash: d32eab6005ac34ecc01a9db7675daa24

Degree: 9

$7^{2} \theta^4-7 x\theta(-7-32\theta-50\theta^2+29\theta^3)+3 x^{2}\theta(532+1165\theta+512\theta^2+1235\theta^3)-2 3^{2} x^{3}\left(5373\theta^4+29040\theta^3+61493\theta^2+51786\theta+15876\right)+2^{2} 3^{3} x^{4}\left(10813\theta^4+68120\theta^3+160529\theta^2+154570\theta+53396\right)-2^{3} 3^{4} x^{5}\left(13929\theta^4+84348\theta^3+181015\theta^2+171080\theta+59172\right)+2^{5} 3^{5} x^{6}\left(6160\theta^4+35964\theta^3+69935\theta^2+58677\theta+18110\right)-2^{8} 3^{6} x^{7}\left(944\theta^4+5308\theta^3+10916\theta^2+9657\theta+3109\right)+2^{11} 3^{7} x^{8}(96\theta^2+300\theta+265)(\theta+1)^2-2^{15} 3^{9} x^{9}(\theta+1)^2(\theta+2)^2$

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Coefficients of the holomorphic solution: 1, 0, 0, 72, -432, ...
--> OEIS
Normalized instanton numbers (n0=1): -4/7, -4/7, 955/63, -262/7, -1002/7, ... ; Common denominator:...

#### Discriminant

$-(6z-1)(27z^2-9z+1)(192z^2+16z+1)(7-18z+144z^2)^2$

#### Local exponents

$-\frac{ 1}{ 24}-\frac{ 1}{ 24}\sqrt{ 2}I$$-\frac{ 1}{ 24}+\frac{ 1}{ 24}\sqrt{ 2}I$$0$$\frac{ 1}{ 16}-\frac{ 1}{ 48}\sqrt{ 103}I$$\frac{ 1}{ 16}+\frac{ 1}{ 48}\sqrt{ 103}I$$\frac{ 1}{ 6}-\frac{ 1}{ 18}\sqrt{ 3}I$$\frac{ 1}{ 6}$$\frac{ 1}{ 6}+\frac{ 1}{ 18}\sqrt{ 3}I$$\infty$
$0$$0$$0$$0$$0$$0$$0$$0$$1$
$1$$1$$0$$1$$1$$1$$1$$1$$1$
$1$$1$$0$$3$$3$$1$$1$$1$$2$
$2$$2$$0$$4$$4$$2$$2$$2$$2$

#### Note:

This is operator "9.1" from ...