### Summary

You searched for: superseeker=1434/7,18676572/7

Your search produced exactly one match

1

New Number: 4.36 |  AESZ: 109  |  Superseeker: 1434/7 18676572/7  |  Hash: bca2938ac7fa09f5bdc395cab75caf82

Degree: 4

$7^{2} \theta^4-2 3 7 x\left(1272\theta^4+2508\theta^3+1779\theta^2+525\theta+56\right)+2^{2} 3 x^{2}\left(43704\theta^4+38088\theta^3-25757\theta^2-20608\theta-3360\right)-2^{4} 3^{3} x^{3}\left(2736\theta^4-1512\theta^3-1672\theta^2-357\theta-14\right)-2^{6} 3^{5} x^{4}(3\theta+1)(2\theta+1)^2(3\theta+2)$

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Coefficients of the holomorphic solution: 1, 48, 15840, 8148000, 5126536800, ...
--> OEIS
Normalized instanton numbers (n0=1): 1434/7, 14718, 18676572/7, 4988009280/7, 1646787631350/7, ... ; Common denominator:...

#### Discriminant

$-(432z^2+1080z-1)(-7+36z)^2$

#### Local exponents

$-\frac{ 5}{ 4}-\frac{ 13}{ 18}\sqrt{ 3}$$0$$s_1$$s_2$$-\frac{ 5}{ 4}+\frac{ 13}{ 18}\sqrt{ 3}$$\frac{ 7}{ 36}$$\infty$
$0$$0$$0$$0$$0$$0$$\frac{ 1}{ 3}$
$1$$0$$1$$1$$1$$1$$\frac{ 1}{ 2}$
$1$$0$$1$$1$$1$$3$$\frac{ 1}{ 2}$
$2$$0$$2$$2$$2$$4$$\frac{ 2}{ 3}$