### Summary

You searched for: superseeker=-2,-952

Your search produced exactly one match

1

New Number: 7.15 |  AESZ:  |  Superseeker: -2 -952  |  Hash: d9a911258d890c112974a4ba19e93e6d

Degree: 7

$\theta^4+2 x\left(138\theta^4+156\theta^3+137\theta^2+59\theta+10\right)+2^{2} x^{2}\left(4796\theta^4+15824\theta^3+16719\theta^2+7610\theta+1400\right)-2^{4} 5 x^{3}\left(5876\theta^4-28824\theta^3-58439\theta^2-39075\theta-9350\right)-2^{6} 5 x^{4}\left(184592\theta^4+414976\theta^3-60816\theta^2-180968\theta-60145\right)+2^{10} 3 x^{5}\left(240624\theta^4-905760\theta^3-1250920\theta^2-576920\theta-83925\right)+2^{18} 3^{2} x^{6}\left(13608\theta^4+48276\theta^3+66402\theta^2+41679\theta+9935\right)-2^{20} 3^{5} x^{7}(6\theta+5)^2(6\theta+7)^2$

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Coefficients of the holomorphic solution: 1, -20, 900, -55280, 3962500, ...
--> OEIS
Normalized instanton numbers (n0=1): -2, -343/2, -952, -45148, -17303644/25, ... ; Common denominator:...

#### Discriminant

$-(-1-16z+256z^2)(32z-1)^2(108z+1)^3$

#### Local exponents

$\frac{ 1}{ 32}-\frac{ 1}{ 32}\sqrt{ 5}$$-\frac{ 1}{ 108}$$0$$\frac{ 1}{ 32}$$\frac{ 1}{ 32}+\frac{ 1}{ 32}\sqrt{ 5}$$\infty$
$0$$0$$0$$0$$0$$\frac{ 5}{ 6}$
$1$$\frac{ 1}{ 2}$$0$$1$$1$$\frac{ 5}{ 6}$
$1$$\frac{ 3}{ 2}$$0$$3$$1$$\frac{ 7}{ 6}$
$2$$2$$0$$4$$2$$\frac{ 7}{ 6}$

#### Note:

This is operator "7.15" from ...