### Summary

You searched for: superseeker=-29/5,-1481/5

Your search produced exactly one match

1

New Number: 5.113 |  AESZ: 403  |  Superseeker: -29/5 -1481/5  |  Hash: 492c8a69e87d470c87b9557834f0fc5b

Degree: 5

$5^{2} \theta^4+5 x\left(487\theta^4+878\theta^3+709\theta^2+270\theta+40\right)+2^{5} x^{2}\left(1013\theta^4+2639\theta^3+2943\theta^2+1520\theta+280\right)-2^{8} x^{3}\left(2169\theta^4+14880\theta^3+30789\theta^2+22440\theta+5240\right)-2^{12} x^{4}(2\theta+1)(518\theta^3+2397\theta^2+2940\theta+1048)-2^{16} 3 x^{5}(2\theta+1)(3\theta+2)(3\theta+4)(2\theta+3)$

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Coefficients of the holomorphic solution: 1, -8, 216, -8000, 359800, ...
--> OEIS
Normalized instanton numbers (n0=1): -29/5, 229/5, -1481/5, 43173/5, -155267, ... ; Common denominator:...

#### Discriminant

$-(27z+1)(1024z^2-64z-1)(5+16z)^2$

#### Local exponents

$-\frac{ 5}{ 16}$$-\frac{ 1}{ 27}$$\frac{ 1}{ 32}-\frac{ 1}{ 32}\sqrt{ 2}$$0$$\frac{ 1}{ 32}+\frac{ 1}{ 32}\sqrt{ 2}$$\infty$
$0$$0$$0$$0$$0$$\frac{ 1}{ 2}$
$1$$1$$1$$0$$1$$\frac{ 2}{ 3}$
$3$$1$$1$$0$$1$$\frac{ 4}{ 3}$
$4$$2$$2$$0$$2$$\frac{ 3}{ 2}$

#### Note:

This is operator "5.113" from ...