Summary

You searched for: superseeker=-4,-1580/9

Your search produced exactly one match

1

New Number: 4.71 |  AESZ: 353  |  Superseeker: -4 -1580/9  |  Hash: 33845d8200fe810109063e352fbfc8b1  

Degree: 4

\(\theta^4-2^{2} x\left(52\theta^4+40\theta^3+37\theta^2+17\theta+3\right)+2^{4} x^{2}\left(960\theta^4+1536\theta^3+1512\theta^2+688\theta+123\right)-2^{8} x^{3}\left(1792\theta^4+4608\theta^3+5184\theta^2+2816\theta+597\right)+2^{14} x^{4}(4\theta+5)^2(4\theta+3)^2\)

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Coefficients of the holomorphic solution: 1, 12, 324, 11856, 504900, ...
--> OEIS
Normalized instanton numbers (n0=1): -4, -24, -1580/9, -1580, -17120, ... ; Common denominator:...

Discriminant

\((16z-1)(64z-1)^3\)

Local exponents

\(0\)\(\frac{ 1}{ 64}\)\(\frac{ 1}{ 16}\)\(\infty\)
\(0\)\(0\)\(0\)\(\frac{ 3}{ 4}\)
\(0\)\(\frac{ 1}{ 2}\)\(1\)\(\frac{ 3}{ 4}\)
\(0\)\(\frac{ 3}{ 2}\)\(1\)\(\frac{ 5}{ 4}\)
\(0\)\(2\)\(2\)\(\frac{ 5}{ 4}\)

Note:

Sporadic Operator, reducible to 3.33, so not a primary operator.

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