### Summary

You searched for: superseeker=-84,-148820

Your search produced exactly one match

1

New Number: 4.10 |  AESZ:  |  Superseeker: -84 -148820  |  Hash: fc2837f1001e57a5cc53749a08d4f2bf

Degree: 4

$\theta^4-2 3 x\left(216\theta^4+432\theta^3+516\theta^2+300\theta+67\right)+2^{2} 3^{2} x^{2}\left(12312\theta^4+49248\theta^3+76374\theta^2+54252\theta+15017\right)-2^{6} 3^{10} x^{3}(\theta^2+3\theta+3)(2\theta+3)^2+2^{4} 3^{10} x^{4}(2\theta+3)(2\theta+5)(6\theta+11)(6\theta+13)$

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Coefficients of the holomorphic solution: 1, 402, 197010, 104962956, 58311249066, ...
--> OEIS
Normalized instanton numbers (n0=1): -84, -5271/2, -148820, -41373213/4, -836813460, ... ; Common denominator:...

#### Discriminant

$(1-648z+11664z^2)^2$

#### Local exponents

$0$$s_1$$s_2$$\frac{ 1}{ 36}-\frac{ 1}{ 54}\sqrt{ 2}$$\frac{ 1}{ 36}+\frac{ 1}{ 54}\sqrt{ 2}$$\infty$
$0$$-\frac{ 1}{ 2}$$-\frac{ 1}{ 2}$$0$$0$$\frac{ 3}{ 2}$
$0$$0$$0$$-\frac{ 1}{ 2}$$-\frac{ 1}{ 2}$$\frac{ 11}{ 6}$
$0$$1$$1$$1$$1$$\frac{ 13}{ 6}$
$0$$\frac{ 3}{ 2}$$\frac{ 3}{ 2}$$\frac{ 3}{ 2}$$\frac{ 3}{ 2}$$\frac{ 5}{ 2}$

#### Note:

YY-Operator equivalent to AESZ 170=$d \ast h \tilde B \ast \epsilon$