Summary

You searched for: inst=-217650

Your search produced exactly one match

1

New Number: 8.17 |  AESZ: 200  |  Superseeker: 19/2 -99607/18  |  Hash: e970fa76e74543660fe271b31c8ad485  

Degree: 8

\(2^{2} \theta^4-2 x\left(106\theta^4+194\theta^3+143\theta^2+46\theta+6\right)-3 x^{2}\left(5305\theta^4-69530\theta^3-87869\theta^2-37122\theta-6174\right)+3^{2} x^{3}\left(406192\theta^4+875286\theta^3+939461\theta^2+616896\theta+144378\right)-3^{6} x^{4}\left(291161\theta^4+1676464\theta^3-1141623\theta^2-986711\theta-230461\right)-3^{10} x^{5}\left(370857\theta^4+845784\theta^3+696122\theta^2+189001\theta+6158\right)+3^{14} x^{6}\left(208867\theta^4+45396\theta^3+18834\theta^2+35097\theta+13814\right)+3^{18} 47 x^{7}\left(2489\theta^4+4972\theta^3+4025\theta^2+1539\theta+232\right)-3^{22} 47^{2} x^{8}\left((\theta+1)^4\right)\)

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Coefficients of the holomorphic solution: 1, 3, -243, -15315, -55971, ...
--> OEIS
Normalized instanton numbers (n0=1): 19/2, -5195/8, -99607/18, -217650, 23603349/2, ... ; Common denominator:...

Discriminant

\(-(531441z^4-347733z^3-7290z^2+50z-1)(-2+3z+11421z^2)^2\)

Local exponents

\(-\frac{ 1}{ 7614}-\frac{ 1}{ 7614}\sqrt{ 10153}\)\(0\)\(-\frac{ 1}{ 7614}+\frac{ 1}{ 7614}\sqrt{ 10153}\)\(#ND+#NDI\)\(\infty\)
\(0\)\(0\)\(0\)\(0\)\(1\)
\(1\)\(0\)\(1\)\(1\)\(1\)
\(3\)\(0\)\(3\)\(1\)\(1\)
\(4\)\(0\)\(4\)\(2\)\(1\)

Note:

This operator has a second MUM-point at infinity, corresponding to operator 8.16

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