### Summary

You searched for: superseeker=178/7,129516/7

Your search produced exactly one match

1

New Number: 6.3 |  AESZ:  |  Superseeker: 178/7 129516/7  |  Hash: ec9e21dc2ccd3b4b4156ae1438454b96

Degree: 6

$7^{2} \theta^4-2 7 x\left(1488\theta^4+1452\theta^3+1125\theta^2+399\theta+56\right)+2^{2} x^{2}\left(766392\theta^4+1184952\theta^3+1010797\theta^2+454076\theta+83776\right)-2^{4} x^{3}\left(12943616\theta^4+28354200\theta^3+30710572\theta^2+16054731\theta+3215254\right)+2^{6} x^{4}\left(105973188\theta^4+333359304\theta^3+436182381\theta^2+261265857\theta+57189166\right)-2^{11} 127 x^{5}(\theta+1)(390972\theta^3+1350660\theta^2+1486781\theta+460439)+2^{14} 23^{2} 127^{2} x^{6}(\theta+1)(\theta+2)(2\theta+1)(2\theta+5)$

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Coefficients of the holomorphic solution: 1, 16, 864, 80800, 9624160, ...
--> OEIS
Normalized instanton numbers (n0=1): 178/7, 3375/7, 129516/7, 6515900/7, 409239710/7, ... ; Common denominator:...

#### Discriminant

$(1-248z+8464z^2)(508z-7)^2(16z-1)^2$

#### Local exponents

$0$$\frac{ 31}{ 2116}-\frac{ 3}{ 529}\sqrt{ 3}$$\frac{ 7}{ 508}$$\frac{ 31}{ 2116}+\frac{ 3}{ 529}\sqrt{ 3}$$\frac{ 1}{ 16}$$\infty$
$0$$0$$0$$0$$0$$\frac{ 1}{ 2}$
$0$$1$$1$$1$$\frac{ 1}{ 3}$$1$
$0$$1$$3$$1$$\frac{ 2}{ 3}$$2$
$0$$2$$4$$2$$1$$\frac{ 5}{ 2}$

#### Note:

This is operator "6.3" from ...