Summary

You searched for: superseeker=416,9734432

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1

New Number: 8.52 |  AESZ:  |  Superseeker: 416 9734432  |  Hash: 87729f275f24cb2daf88133571476576  

Degree: 8

\(\theta^4+2^{4} x\left(176\theta^4-32\theta^3+4\theta^2+20\theta+5\right)+2^{12} x^{2}\left(640\theta^4+256\theta^3+680\theta^2+224\theta+27\right)+2^{22} x^{3}\left(220\theta^4+648\theta^3+596\theta^2+348\theta+85\right)+2^{30} x^{4}\left(116\theta^4+1024\theta^3+1608\theta^2+1072\theta+281\right)-2^{38} x^{5}\left(32\theta^4-448\theta^3-1588\theta^2-1404\theta-437\right)-2^{46} x^{6}\left(80\theta^4+288\theta^3-88\theta^2-384\theta-179\right)-2^{57} x^{7}\left(2\theta^4+28\theta^3+56\theta^2+42\theta+11\right)+2^{66} x^{8}\left((\theta+1)^4\right)\)

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Coefficients of the holomorphic solution: 1, -80, 6928, -597248, 95243536, ...
--> OEIS
Normalized instanton numbers (n0=1): 416, -52752, 9734432, -2404009688, 687625871328, ... ; Common denominator:...

Discriminant

\((1+256z+65536z^2)(256z+1)^2(131072z^2-1024z-1)^2\)

Local exponents

\(-\frac{ 1}{ 256}\)\(-\frac{ 1}{ 512}-\frac{ 1}{ 512}\sqrt{ 3}I\)\(-\frac{ 1}{ 512}+\frac{ 1}{ 512}\sqrt{ 3}I\)\(\frac{ 1}{ 256}-\frac{ 1}{ 512}\sqrt{ 6}\)\(0\)\(\frac{ 1}{ 256}+\frac{ 1}{ 512}\sqrt{ 6}\)\(\infty\)
\(0\)\(0\)\(0\)\(0\)\(0\)\(0\)\(1\)
\(\frac{ 1}{ 2}\)\(1\)\(1\)\(1\)\(0\)\(1\)\(1\)
\(\frac{ 1}{ 2}\)\(1\)\(1\)\(3\)\(0\)\(3\)\(1\)
\(1\)\(2\)\(2\)\(4\)\(0\)\(4\)\(1\)

Note:

This is operator "8.52" from ...

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