Summary

You searched for: inst=59946723846

Your search produced exactly one match

1

New Number: 4.74 |  AESZ: 363  |  Superseeker: -207 621972  |  Hash: 15f3be0c25c6a6ea1d78414f1cb31713  

Degree: 4

\(\theta^4+3^{2} x\left(231\theta^4+318\theta^3+231\theta^2+72\theta+8\right)+2^{3} 3^{5} x^{2}\left(774\theta^4+1854\theta^3+1869\theta^2+768\theta+100\right)+2^{6} 3^{8} x^{3}\left(951\theta^4+2304\theta^3+1740\theta^2+504\theta+50\right)+2^{10} 3^{12} x^{4}(4\theta+1)(2\theta+1)^2(4\theta+3)\)

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Coefficients of the holomorphic solution: 1, -72, 22680, -9424800, 4199995800, ...
--> OEIS
Normalized instanton numbers (n0=1): -207, 5544, 621972, -241386048, 59946723846, ... ; Common denominator:...

Discriminant

\((746496z^2+1647z+1)(1+216z)^2\)

Local exponents

\(-\frac{ 1}{ 216}\)\(-\frac{ 61}{ 55296}-\frac{ 5}{ 55296}\sqrt{ 15}I\)\(-\frac{ 61}{ 55296}+\frac{ 5}{ 55296}\sqrt{ 15}I\)\(0\)\(s_1\)\(s_2\)\(\infty\)
\(0\)\(0\)\(0\)\(0\)\(0\)\(0\)\(\frac{ 1}{ 4}\)
\(1\)\(1\)\(1\)\(0\)\(1\)\(1\)\(\frac{ 1}{ 2}\)
\(3\)\(1\)\(1\)\(0\)\(1\)\(1\)\(\frac{ 1}{ 2}\)
\(4\)\(2\)\(2\)\(0\)\(2\)\(2\)\(\frac{ 3}{ 4}\)

Note:

Sporadic Operator.

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