### Summary

You searched for: superseeker=-188/5,-450516/5

Your search produced exactly one match

1

New Number: 5.54 |  AESZ: 260  |  Superseeker: -188/5 -450516/5  |  Hash: 03ff8e2e94b897c3891e6981e7fb4ec9

Degree: 5

$5^{2} \theta^4+2^{2} 5 x\left(596\theta^4+544\theta^3+397\theta^2+125\theta+15\right)+2^{4} 3 x^{2}\left(30048\theta^4+14784\theta^3-13312\theta^2-10940\theta-2115\right)+2^{8} 3^{3} x^{3}\left(6368\theta^4-6720\theta^3-9052\theta^2-4080\theta-655\right)-2^{12} 3^{6} x^{4}(2\theta+1)^2(76\theta^2+196\theta+139)-2^{16} 3^{9} x^{5}(2\theta+1)^2(2\theta+3)^2$

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Coefficients of the holomorphic solution: 1, -12, 1260, -188400, 34353900, ...
--> OEIS
Normalized instanton numbers (n0=1): -188/5, 7693/5, -450516/5, 37785946/5, -790482672, ... ; Common denominator:...

#### Discriminant

$-(16z+1)(6912z^2-288z-1)(5+432z)^2$

#### Local exponents

$-\frac{ 1}{ 16}$$-\frac{ 5}{ 432}$$\frac{ 1}{ 48}-\frac{ 1}{ 72}\sqrt{ 3}$$0$$\frac{ 1}{ 48}+\frac{ 1}{ 72}\sqrt{ 3}$$\infty$
$0$$0$$0$$0$$0$$\frac{ 1}{ 2}$
$1$$1$$1$$0$$1$$\frac{ 1}{ 2}$
$1$$3$$1$$0$$1$$\frac{ 3}{ 2}$
$2$$4$$2$$0$$2$$\frac{ 3}{ 2}$

#### Note:

This is operator "5.54" from ...