### Summary

You searched for: superseeker=-100,126580

Your search produced exactly one match

1

New Number: 4.18 |  AESZ:  |  Superseeker: -100 126580  |  Hash: 3ab4956c5da76dad5e104e338e7c0128

Degree: 4

$\theta^4-2^{2} x\left(704\theta^4+1408\theta^3+1697\theta^2+993\theta+225\right)+2^{4} x^{2}\left(187904\theta^4+751616\theta^3+1350224\theta^2+1197216\theta+429975\right)-2^{12} 5^{3} x^{3}(704\theta^2+2112\theta+2115)(2\theta+3)^2+2^{18} 5^{6} x^{4}(2\theta+3)(2\theta+5)(4\theta+7)(4\theta+9)$

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Coefficients of the holomorphic solution: 1, 900, 701100, 515510800, 365497137900, ...
--> OEIS
Normalized instanton numbers (n0=1): -100, -1260, 126580, 12033300, 1211646512, ... ; Common denominator:...

#### Discriminant

$(512000z^2-1408z+1)^2$

#### Local exponents

$0$$s_1$$s_2$$\frac{ 11}{ 8000}-\frac{ 1}{ 4000}I$$\frac{ 11}{ 8000}+\frac{ 1}{ 4000}I$$\infty$
$0$$-\frac{ 1}{ 2}$$-\frac{ 1}{ 2}$$0$$0$$\frac{ 3}{ 2}$
$0$$0$$0$$-\frac{ 1}{ 2}$$-\frac{ 1}{ 2}$$\frac{ 7}{ 4}$
$0$$1$$1$$1$$1$$\frac{ 9}{ 4}$
$0$$\frac{ 3}{ 2}$$\frac{ 3}{ 2}$$\frac{ 3}{ 2}$$\frac{ 3}{ 2}$$\frac{ 5}{ 2}$

#### Note:

YY-Operator equivalent to $C \ast \eta ~b \ast i$