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

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

Note:

Sporadic Operator.

Show more...  or download as   plain text  |  PDF  |  Maple  |  LaTex