### Summary

You searched for: superseeker=-612,51318900

Your search produced exactly one match

1

New Number: 4.24 |  AESZ:  |  Superseeker: -612 51318900  |  Hash: dc90e303db3462d0c0bd472762000ad5

Degree: 4

$\theta^4-2^{2} 3 x\left(1584\theta^4+3168\theta^3+3799\theta^2+2215\theta+501\right)+2^{4} 3^{2} x^{2}\left(951264\theta^4+3805056\theta^3+6812388\theta^2+6014664\theta+2151443\right)-2^{8} 3^{8} 5^{3} x^{3}(528\theta^2+1584\theta+1567)(2\theta+3)^2+2^{14} 3^{10} 5^{6} x^{4}(2\theta+3)(2\theta+5)(3\theta+5)(3\theta+7)$

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Coefficients of the holomorphic solution: 1, 6012, 31439916, 155468925360, 741919701370860, ...
--> OEIS
Normalized instanton numbers (n0=1): -612, -87372, 51318900, 24336059400, 14111081636400, ... ; Common denominator:...

#### Discriminant

$(23328000z^2-9504z+1)^2$

#### Local exponents

$0$$s_1$$s_2$$\frac{ 11}{ 54000}-\frac{ 1}{ 27000}I$$\frac{ 11}{ 54000}+\frac{ 1}{ 27000}I$$\infty$
$0$$-\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 $D \ast \eta ~b \ast j$