Summary

You searched for: inst=6888345300

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1

New Number: 4.57 |  AESZ: 278  |  Superseeker: 243 513936  |  Hash: b30f6ac0da69cf91ab39089e6bf1ac8c  

Degree: 4

\(\theta^4-3 x\left(279\theta^4+882\theta^3+641\theta^2+200\theta+24\right)-2 3^{5} x^{2}\left(72\theta^4-1710\theta^3-3665\theta^2-1864\theta-296\right)+2^{2} 3^{9} x^{3}\left(909\theta^4+3888\theta^3+3082\theta^2+918\theta+92\right)+2^{4} 3^{15} x^{4}(3\theta+1)(2\theta+1)^2(3\theta+2)\)

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Coefficients of the holomorphic solution: 1, 72, 18360, 6552000, 2767980600, ...
--> OEIS
Normalized instanton numbers (n0=1): 243, -3402, 513936, 2470824, 6888345300, ... ; Common denominator:...

Discriminant

\((729z-1)(432z-1)(1+162z)^2\)

Local exponents

\(-\frac{ 1}{ 162}\)\(0\)\(\frac{ 1}{ 729}\)\(\frac{ 1}{ 432}\)\(\infty\)
\(0\)\(0\)\(0\)\(0\)\(\frac{ 1}{ 3}\)
\(1\)\(0\)\(1\)\(1\)\(\frac{ 1}{ 2}\)
\(3\)\(0\)\(1\)\(1\)\(\frac{ 1}{ 2}\)
\(4\)\(0\)\(2\)\(2\)\(\frac{ 2}{ 3}\)

Note:

Sporadic Operator.

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