### Summary

You searched for: superseeker=-1488,-517984144

Your search produced exactly one match

1

New Number: 4.22 |  AESZ:  |  Superseeker: -1488 -517984144  |  Hash: 7d70f749f0fd6381c088f4c1fac4d6df

Degree: 4

$\theta^4-2^{4} 3 x\left(432\theta^4+864\theta^3+1023\theta^2+591\theta+131\right)+2^{9} 3^{2} x^{2}\left(24624\theta^4+98496\theta^3+151722\theta^2+106452\theta+29023\right)-2^{14} 3^{10} x^{3}(16\theta^2+48\theta+47)(2\theta+3)^2+2^{22} 3^{10} x^{4}(2\theta+3)(2\theta+5)(3\theta+5)(3\theta+7)$

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Coefficients of the holomorphic solution: 1, 6288, 49006800, 416705452800, 3698851729136400, ...
--> OEIS
Normalized instanton numbers (n0=1): -1488, -704730, -517984144, -469396561641, -493072108113648, ... ; Common denominator:...

#### Discriminant

$(2985984z^2-10368z+1)^2$

#### Local exponents

$0$$s_1$$s_2$$\frac{ 1}{ 576}-\frac{ 1}{ 864}\sqrt{ 2}$$\frac{ 1}{ 576}+\frac{ 1}{ 864}\sqrt{ 2}$$\infty$
$0$$-\frac{ 1}{ 2}$$-\frac{ 1}{ 2}$$0$$0$$\frac{ 3}{ 2}$
$0$$0$$0$$-\frac{ 1}{ 2}$$-\frac{ 1}{ 2}$$\frac{ 5}{ 3}$
$0$$1$$1$$1$$1$$\frac{ 7}{ 3}$
$0$$\frac{ 3}{ 2}$$\frac{ 3}{ 2}$$\frac{ 3}{ 2}$$\frac{ 3}{ 2}$$\frac{ 5}{ 2}$

#### Note:

YY-Operator equivalent to $D \ast \epsilon \tilde d \ast j$