### Summary

You searched for: Spectrum0=4/3,4/3,5/3,5/3

Your search produced exactly one match

1

New Number: 6.38 |  AESZ:  |  Superseeker: 2 952  |  Hash: ab13475ec61ba4278f6e59d858b5c527

Degree: 6

$\theta^4-2 x\left(84\theta^4+264\theta^3+299\theta^2+167\theta+37\right)+2^{2} x^{2}\left(260\theta^4+10640\theta^3+22443\theta^2+18950\theta+6071\right)+2^{7} x^{3}\left(4550\theta^4+16140\theta^3+7327\theta^2-8178\theta-6485\right)+2^{12} x^{4}\left(935\theta^4-8660\theta^3-28587\theta^2-29234\theta-10036\right)-2^{18} 3 x^{5}\left(414\theta^4+2385\theta^3+5123\theta^2+4909\theta+1773\right)-2^{22} 3^{2} x^{6}(3\theta+5)^2(3\theta+4)^2$

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Coefficients of the holomorphic solution: 1, 74, 6354, 585020, 55958290, ...
--> OEIS
Normalized instanton numbers (n0=1): 2, -172, 952, -45148, 17303644/25, ... ; Common denominator:...

#### Discriminant

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

#### Local exponents

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

#### Note:

This is operator "6.38" from ...