### Summary

You searched for: sol=1373164693740

Your search produced exactly one match

1

New Number: 5.64 |  AESZ: 272  |  Superseeker: 468/5 11885484  |  Hash: 467bb784f4bd6e978748e98f6ea4a573

Degree: 5

$5^{2} \theta^4-2^{2} 3 5 x\left(1332\theta^4+3528\theta^3+3289\theta^2+1525\theta+285\right)+2^{4} 3^{2} x^{2}\left(331776\theta^4+2602368\theta^3+4533336\theta^2+2996640\theta+724415\right)+2^{8} 3^{5} x^{3}\left(539136\theta^4+622080\theta^3-3024864\theta^2-4008960\theta-1315985\right)-2^{15} 3^{8} x^{4}\left(41472\theta^4+393984\theta^3+735984\theta^2+510912\theta+120811\right)-2^{20} 3^{11} x^{5}(12\theta+7)(12\theta+11)(12\theta+13)(12\theta+17)$

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Coefficients of the holomorphic solution: 1, 684, 761004, 985011120, 1373164693740, ...
--> OEIS
Normalized instanton numbers (n0=1): 468/5, -315477/5, 11885484, -14354122356/5, 808514230608, ... ; Common denominator:...

#### Discriminant

$-(-1+432z)(1728z+5)^2(1728z-1)^2$

#### Local exponents

$-\frac{ 5}{ 1728}$$0$$\frac{ 1}{ 1728}$$\frac{ 1}{ 432}$$\infty$
$0$$0$$0$$0$$\frac{ 7}{ 12}$
$1$$0$$-\frac{ 1}{ 6}$$1$$\frac{ 11}{ 12}$
$3$$0$$1$$1$$\frac{ 13}{ 12}$
$4$$0$$\frac{ 7}{ 6}$$2$$\frac{ 17}{ 12}$

#### Note:

This is operator "5.64" from ...