### Summary

You searched for: sol=-528

Your search produced exactly one match

1

New Number: 4.63 |  AESZ: 294  |  Superseeker: -80416 -15561562691488  |  Hash: f6b5a258285779facb6702e1a2a891bb

Degree: 4

$\theta^4-2^{4} x\left(18800\theta^4-14624\theta^3-8184\theta^2-872\theta-33\right)+2^{18} x^{2}\left(101744\theta^4-107920\theta^3+74968\theta^2+15100\theta+1191\right)-2^{30} 17 x^{3}\left(40048\theta^4+49152\theta^3+35848\theta^2+10752\theta+1143\right)+2^{50} 17^{2} x^{4}(4\theta+1)(2\theta+1)^2(4\theta+3)$

Maple   LaTex

Coefficients of the holomorphic solution: 1, -528, -16919280, -95988076800, 3707387171888400, ...
--> OEIS
Normalized instanton numbers (n0=1): -80416, -872844376, -15561562691488, -341695175348542432, -8482586861983707669856, ... ; Common denominator:...

#### Discriminant

$(1073741824z^2-22272z+1)(-1+139264z)^2$

#### Local exponents

$0$$s_1$$s_2$$\frac{ 1}{ 139264}$$\frac{ 87}{ 8388608}-\frac{ 91}{ 8388608}\sqrt{ 7}I$$\frac{ 87}{ 8388608}+\frac{ 91}{ 8388608}\sqrt{ 7}I$$\infty$
$0$$0$$0$$0$$0$$0$$\frac{ 1}{ 4}$
$0$$1$$1$$1$$1$$1$$\frac{ 1}{ 2}$
$0$$1$$1$$3$$1$$1$$\frac{ 1}{ 2}$
$0$$2$$2$$4$$2$$2$$\frac{ 3}{ 4}$