### Summary

You searched for: inst=-40552

Your search produced exactly one match

1

New Number: 4.7 |  AESZ:  |  Superseeker: -54 -40552  |  Hash: ee8508b4e5567367ca11f74e074e8099

Degree: 4

$\theta^4-2 3 x\left(180\theta^4+360\theta^3+433\theta^2+253\theta+57\right)+2^{2} 3^{4} 11 x^{2}\left(108\theta^4+432\theta^3+741\theta^2+618\theta+209\right)-2^{5} 3^{8} x^{3}(60\theta^2+180\theta+181)(2\theta+3)^2+2^{8} 3^{10} x^{4}(2\theta+3)(2\theta+5)(6\theta+11)(6\theta+13)$

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Coefficients of the holomorphic solution: 1, 342, 117990, 42901884, 16240501782, ...
--> OEIS
Normalized instanton numbers (n0=1): -54, -864, -40552, -2192400, -123334380, ... ; Common denominator:...

#### Discriminant

$(432z-1)^2(108z-1)^2$

#### Local exponents

$0$$\frac{ 1}{ 432}$$\frac{ 1}{ 108}$$\infty$
$0$$0$$0$$\frac{ 3}{ 2}$
$0$$-\frac{ 1}{ 2}$$-\frac{ 1}{ 2}$$\frac{ 11}{ 6}$
$0$$1$$1$$\frac{ 13}{ 6}$
$0$$\frac{ 3}{ 2}$$\frac{ 3}{ 2}$$\frac{ 5}{ 2}$

#### Note:

YY-operator equivalent to (:AESZ 50), $\tilde B \ast \alpha$