### Summary

You searched for: superseeker=-340,-15174100/3

Your search produced exactly one match

1

New Number: 4.14 |  AESZ:  |  Superseeker: -340 -15174100/3  |  Hash: a961869d91c2f73091913e8f8c4b5fa0

Degree: 4

$\theta^4-2^{2} x\left(1088\theta^4+2176\theta^3+2579\theta^2+1491\theta+330\right)+2^{7} 3 x^{2}\left(12352\theta^4+49408\theta^3+74070\theta^2+49324\theta+12325\right)-2^{12} x^{3}(1088\theta^2+3264\theta+3225)(2\theta+3)^2+2^{18} x^{4}(2\theta+3)(2\theta+5)(4\theta+7)(4\theta+9)$

Maple   LaTex

Coefficients of the holomorphic solution: 1, 1320, 2233320, 4108451200, 7880762169000, ...
--> OEIS
Normalized instanton numbers (n0=1): -340, -31985, -15174100/3, -1036481610, -246612212640, ... ; Common denominator:...

#### Discriminant

$(1-2176z+4096z^2)^2$

#### Local exponents

$0$$s_1$$s_2$$\frac{ 17}{ 64}-\frac{ 3}{ 16}\sqrt{ 2}$$\frac{ 17}{ 64}+\frac{ 3}{ 16}\sqrt{ 2}$$\infty$
$0$$-\frac{ 1}{ 2}$$-\frac{ 1}{ 2}$$0$$0$$\frac{ 3}{ 2}$
$0$$0$$0$$-\frac{ 1}{ 2}$$-\frac{ 1}{ 2}$$\frac{ 7}{ 4}$
$0$$1$$1$$1$$1$$\frac{ 9}{ 4}$
$0$$\frac{ 3}{ 2}$$\frac{ 3}{ 2}$$\frac{ 3}{ 2}$$\frac{ 3}{ 2}$$\frac{ 5}{ 2}$

#### Note:

YY-Operator equivalent to AESZ 52 $=C \ast \gamma \tilde g \ast i$