Summary

You searched for: inst=124795/47

Your search produced exactly one match

1

New Number: 8.16 |  AESZ: 196  |  Superseeker: 189/47 9277/47  |  Hash: fdeee36c14d9c003b59c1738c024d479  

Degree: 8

\(47^{2} \theta^4-47 x\left(2489\theta^4+4984\theta^3+4043\theta^2+1551\theta+235\right)-x^{2}\left(161022+701851\theta+1135848\theta^2+790072\theta^3+208867\theta^4\right)+x^{3}\left(38352+149319\theta+383912\theta^2+637644\theta^3+370857\theta^4\right)-x^{4}\left(1770676+5161283\theta+4424049\theta^2+511820\theta^3-291161\theta^4\right)+x^{5}\left(2151-260936\theta-750755\theta^2-749482\theta^3-406192\theta^4\right)+3^{3} x^{6}\left(5305\theta^4+90750\theta^3+152551\theta^2+91194\theta+17914\right)+2 3^{6} x^{7}\left(106\theta^4+230\theta^3+197\theta^2+82\theta+15\right)-2^{2} 3^{10} x^{8}\left((\theta+1)^4\right)\)

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Coefficients of the holomorphic solution: 1, 5, 93, 2507, 81229, ...
--> OEIS
Normalized instanton numbers (n0=1): 189/47, 979/47, 9277/47, 124795/47, 2049020/47, ... ; Common denominator:...

Discriminant

\(-(-1+53z+90z^2-50z^3+81z^4)(-47-z+54z^2)^2\)

Local exponents

\(\frac{ 1}{ 108}-\frac{ 1}{ 108}\sqrt{ 10153}\)\(0\)\(\frac{ 1}{ 108}+\frac{ 1}{ 108}\sqrt{ 10153}\)\(#ND+#NDI\)\(\infty\)
\(0\)\(0\)\(0\)\(0\)\(1\)
\(1\)\(0\)\(1\)\(1\)\(1\)
\(3\)\(0\)\(3\)\(1\)\(1\)
\(4\)\(0\)\(4\)\(2\)\(1\)

Note:

The operator has a second MUM-point at infinity, corresponding to operator 8.17 .

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