### Summary

You searched for: superseeker=108,122756

Your search produced exactly one match

1

New Number: 5.130 |  AESZ:  |  Superseeker: 108 122756  |  Hash: 829aca3d7a00547e299bf794c8643162

Degree: 5

$\theta^4-2^{2} 3 x\left(12\theta^4+96\theta^3+71\theta^2+23\theta+3\right)-2^{4} 3^{3} x^{2}\left(160\theta^4+64\theta^3-544\theta^2-340\theta-65\right)+2^{8} 3^{5} x^{3}\left(32\theta^4+576\theta^3+588\theta^2+240\theta+35\right)+2^{12} 3^{7} x^{4}(28\theta^2+52\theta+31)(2\theta+1)^2+2^{16} 3^{9} x^{5}(2\theta+1)^2(2\theta+3)^2$

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Coefficients of the holomorphic solution: 1, 36, 3780, 558000, 98828100, ...
--> OEIS
Normalized instanton numbers (n0=1): 108, -1782, 122756, -5930658, 607239072, ... ; Common denominator:...

#### Discriminant

$(144z-1)(6912z^2+288z-1)(1+144z)^2$

#### Local exponents

$-\frac{ 1}{ 48}-\frac{ 1}{ 72}\sqrt{ 3}$$-\frac{ 1}{ 144}$$0$$-\frac{ 1}{ 48}+\frac{ 1}{ 72}\sqrt{ 3}$$\frac{ 1}{ 144}$$\infty$
$0$$0$$0$$0$$0$$\frac{ 1}{ 2}$
$1$$1$$0$$1$$1$$\frac{ 1}{ 2}$
$1$$3$$0$$1$$1$$\frac{ 3}{ 2}$
$2$$4$$0$$2$$2$$\frac{ 3}{ 2}$

#### Note:

This is operator "5.130" from ...