Summary

You searched for: inst=389

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1

New Number: 4.75 |  AESZ:  |  Superseeker: 6 389  |  Hash: 1e24ac15c33e7bc66a4211a6f86ad179  

Degree: 4

\(\theta^4+3 x\left(90\theta^4+150\theta^3+144\theta^2+69\theta+13\right)+3 x^{2}(3\theta+2)(3039\theta^3+8104\theta^2+9017\theta+3783)+3^{3} 13^{2} x^{3}(3\theta+2)(3\theta+5)(30\theta^2+80\theta+63)+3^{2} 13^{4} x^{4}(3\theta+2)(3\theta+5)^2(3\theta+8)\)

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Coefficients of the holomorphic solution: 1, -39, 1989, -110604, 6425757, ...
--> OEIS
Normalized instanton numbers (n0=1): 6, 33, 389, 6393, 128769, ... ; Common denominator:...

Discriminant

\((1+135z+4563z^2)^2\)

Local exponents

\(-\frac{ 5}{ 338}-\frac{ 1}{ 3042}\sqrt{ 3}I\)\(-\frac{ 5}{ 338}+\frac{ 1}{ 3042}\sqrt{ 3}I\)\(0\)\(s_1\)\(s_2\)\(\infty\)
\(0\)\(0\)\(0\)\(0\)\(0\)\(\frac{ 2}{ 3}\)
\(\frac{ 1}{ 3}\)\(\frac{ 1}{ 3}\)\(0\)\(\frac{ 1}{ 3}\)\(\frac{ 1}{ 3}\)\(\frac{ 5}{ 3}\)
\(1\)\(1\)\(0\)\(1\)\(1\)\(\frac{ 5}{ 3}\)
\(\frac{ 4}{ 3}\)\(\frac{ 4}{ 3}\)\(0\)\(\frac{ 4}{ 3}\)\(\frac{ 4}{ 3}\)\(\frac{ 8}{ 3}\)

Note:

Sporadic Operator. Where did it come from?

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