### Summary

You searched for: superseeker=-10,-340

Your search produced exactly one match

1

New Number: 4.31 |  AESZ:  |  Superseeker: -10 -340  |  Hash: dc534a2a8e7bca49a87c29d9ed4e3ae8

Degree: 4

$\theta^4-2 x\left(172\theta^4+344\theta^3+421\theta^2+249\theta+57\right)+2^{2} x^{2}\left(10852\theta^4+43408\theta^3+78043\theta^2+69270\theta+24987\right)-2^{4} 3 x^{3}\left(49536\theta^4+297216\theta^3+712240\theta^2+799248\theta+349521\right)+2^{14} 3^{2} x^{4}(3\theta+5)(3\theta+7)(6\theta+11)(6\theta+13)$

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Coefficients of the holomorphic solution: 1, 114, 11466, 1123804, 109952106, ...
--> OEIS
Normalized instanton numbers (n0=1): -10, -40, -340, -5820, -114610, ... ; Common denominator:...

#### Discriminant

$(108z-1)^2(64z-1)^2$

#### Local exponents

$0$$\frac{ 1}{ 108}$$\frac{ 1}{ 64}$$\infty$
$0$$0$$0$$\frac{ 5}{ 3}$
$0$$-\frac{ 1}{ 2}$$-\frac{ 1}{ 2}$$\frac{ 11}{ 6}$
$0$$1$$1$$\frac{ 13}{ 6}$
$0$$\frac{ 3}{ 2}$$\frac{ 3}{ 2}$$\frac{ 7}{ 3}$

#### Note:

This is operator "4.31" from ...