### Summary

You searched for: superseeker=-8,-1552/3

Your search produced exactly one match

1

New Number: 6.2 |  AESZ:  |  Superseeker: -8 -1552/3  |  Hash: fd7b14f2d0f2a78723588771a9b1a984

Degree: 6

$\theta^4-x\left(280\theta^4+560\theta^3+686\theta^2+406\theta+93\right)+3 x^{2}\left(9296\theta^4+37184\theta^3+66322\theta^2+58276\theta+20863\right)-2 x^{3}\left(594560\theta^4+3567360\theta^3+8664912\theta^2+9941616\theta+4484205\right)+x^{4}\left(21204736\theta^4+169637888\theta^3+520783424\theta^2+726030592\theta+387696585\right)-2^{3} 3^{2} 5^{2} x^{5}(4\theta+9)(4\theta+11)(4144\theta^2+20720\theta+28335)+2^{4} 3^{4} 5^{4} x^{6}(4\theta+9)(4\theta+11)(4\theta+13)(4\theta+15)$

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Coefficients of the holomorphic solution: 1, 93, 15717/2, 1345795/2, 473123715/8, ...
--> OEIS
Normalized instanton numbers (n0=1): -8, -44, -1552/3, -8044, -138528, ... ; Common denominator:...

#### Discriminant

$(100z-1)^2(4z-1)^2(36z-1)^2$

#### Local exponents

$0$$\frac{ 1}{ 100}$$\frac{ 1}{ 36}$$\frac{ 1}{ 4}$$\infty$
$0$$0$$0$$0$$\frac{ 9}{ 4}$
$0$$-\frac{ 1}{ 2}$$-\frac{ 1}{ 2}$$-\frac{ 1}{ 2}$$\frac{ 11}{ 4}$
$0$$1$$1$$1$$\frac{ 13}{ 4}$
$0$$\frac{ 3}{ 2}$$\frac{ 3}{ 2}$$\frac{ 3}{ 2}$$\frac{ 15}{ 4}$

#### Note:

This is operator "6.2" from ...