### Summary

You searched for: superseeker=-156,-1229332

Your search produced exactly one match

1

New Number: 4.17 |  AESZ:  |  Superseeker: -156 -1229332  |  Hash: 245e2566c8da93abbfc4296923ccba12

Degree: 4

$\theta^4-2^{2} 3 x\left(192\theta^4+384\theta^3+457\theta^2+265\theta+59\right)+2^{4} 3^{2} x^{2}\left(7680\theta^4+30720\theta^3+41040\theta^2+20640\theta+2203\right)+2^{12} 3^{4} x^{3}(192\theta^2+576\theta+571)(2\theta+3)^2+2^{18} 3^{6} x^{4}(2\theta+3)(2\theta+5)(4\theta+7)(4\theta+9)$

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Coefficients of the holomorphic solution: 1, 708, 700740, 738956400, 811309522500, ...
--> OEIS
Normalized instanton numbers (n0=1): -156, -12549, -1229332, -175559052, -27542017056, ... ; Common denominator:...

#### Discriminant

$(-1+1152z+110592z^2)^2$

#### Local exponents

$-\frac{ 1}{ 192}-\frac{ 1}{ 288}\sqrt{ 3}$$0$$s_1$$s_2$$-\frac{ 1}{ 192}+\frac{ 1}{ 288}\sqrt{ 3}$$\infty$
$0$$0$$-\frac{ 1}{ 2}$$-\frac{ 1}{ 2}$$0$$\frac{ 3}{ 2}$
$-\frac{ 1}{ 2}$$0$$0$$0$$-\frac{ 1}{ 2}$$\frac{ 7}{ 4}$
$1$$0$$1$$1$$1$$\frac{ 9}{ 4}$
$\frac{ 3}{ 2}$$0$$\frac{ 3}{ 2}$$\frac{ 3}{ 2}$$\frac{ 3}{ 2}$$\frac{ 5}{ 2}$

#### Note:

YY-Operator equivalent to $C \ast \zeta ~tilde f \ast i$