### Summary

You searched for: sol=44676

Your search produced exactly one match

1

New Number: 4.5 |  AESZ:  |  Superseeker: -36 -62596/3  |  Hash: f5b4785eb6dd46eea771050179115d33

Degree: 4

$\theta^4-2^{2} 3 x\left(48\theta^4+96\theta^3+115\theta^2+67\theta+15\right)+2^{4} 3^{2} x^{2}\left(480\theta^4+1920\theta^3+2580\theta^2+1320\theta+151\right)+2^{8} 3^{4} x^{3}(48\theta^2+144\theta+145)(2\theta+3)^2+2^{14} 3^{6} x^{4}(\theta+2)^2(2\theta+3)(2\theta+5)$

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Coefficients of the holomorphic solution: 1, 180, 44676, 11798640, 3241596996, ...
--> OEIS
Normalized instanton numbers (n0=1): -36, -756, -62596/3, -839088, -37432800, ... ; Common denominator:...

#### Discriminant

$(-1+288z+6912z^2)^2$

#### Local exponents

$-\frac{ 1}{ 48}-\frac{ 1}{ 72}\sqrt{ 3}$$0$$s_1$$s_2$$-\frac{ 1}{ 48}+\frac{ 1}{ 72}\sqrt{ 3}$$\infty$
$0$$0$$-\frac{ 1}{ 2}$$-\frac{ 1}{ 2}$$0$$\frac{ 3}{ 2}$
$-\frac{ 1}{ 2}$$0$$0$$0$$-\frac{ 1}{ 2}$$2$
$1$$0$$1$$1$$1$$2$
$\frac{ 3}{ 2}$$0$$\frac{ 3}{ 2}$$\frac{ 3}{ 2}$$\frac{ 3}{ 2}$$\frac{ 5}{ 2}$

#### Note:

YY-Operator equivalent to $d \ast e \tilde A\st \epsilon$