### Summary

You searched for: sol=-496

Your search produced exactly one match

1

New Number: 7.19 |  AESZ:  |  Superseeker: 4/3 -124/81  |  Hash: f7f0f5d883101c38ed22cb74c80c8f5c

Degree: 7

$3^{3} \theta^4-2^{2} 3^{2} x\left(12\theta^4-16\theta^3-21\theta^2-13\theta-3\right)-2^{4} 3 x^{2}\left(240\theta^4+1280\theta^3+2068\theta^2+1636\theta+489\right)+2^{10} x^{3}\left(212\theta^4+592\theta^3+490\theta^2-34\theta-129\right)+2^{13} x^{4}\left(72\theta^4+1536\theta^3+4804\theta^2+5468\theta+2031\right)-2^{18} x^{5}\left(100\theta^4+720\theta^3+1535\theta^2+1155\theta+276\right)+2^{20} x^{6}\left(144\theta^4+768\theta^3+1268\theta^2+884\theta+229\right)-2^{28} x^{7}\left((\theta+1)^4\right)$

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Coefficients of the holomorphic solution: 1, -4, 68, -496, 9796, ...
--> OEIS
Normalized instanton numbers (n0=1): 4/3, -14/9, -124/81, -4498/243, 37024/729, ... ; Common denominator:...

#### Discriminant

$-(16z-1)^2(16z+1)^2(16z-3)^3$

#### Local exponents

$-\frac{ 1}{ 16}$$0$$\frac{ 1}{ 16}$$\frac{ 3}{ 16}$$\infty$
$0$$0$$0$$0$$1$
$0$$0$$\frac{ 1}{ 2}$$2$$1$
$1$$0$$\frac{ 1}{ 2}$$3$$1$
$1$$0$$1$$5$$1$

#### Note:

This is operator "7.19" from ...