Summary

You searched for: sol=3354534

Your search produced exactly one match

1

New Number: 8.62 |  AESZ:  |  Superseeker: 127 1566863/3  |  Hash: 4165325308c2b65daacebc1d19717e13  

Degree: 8

\(\theta^4+x\left(578\theta^4-572\theta^3-359\theta^2-73\theta-6\right)+3^{2} x^{2}\left(4673\theta^4+1892\theta^3+31601\theta^2+11514\theta+1728\right)-2^{3} 3^{4} x^{3}\left(9185\theta^4-134298\theta^3-35420\theta^2-22329\theta-5544\right)+2^{4} 3^{8} x^{4}\left(19051\theta^4+11846\theta^3+114678\theta^2+65939\theta+14290\right)-2^{6} 3^{12} x^{5}\left(7540\theta^4+8068\theta^3-6459\theta^2-7907\theta-2300\right)-2^{6} 3^{16} x^{6}\left(3919\theta^4+27744\theta^3+29957\theta^2+14208\theta+2556\right)+2^{9} 3^{20} 5 x^{7}\left(199\theta^4+590\theta^3+744\theta^2+449\theta+106\right)-2^{12} 3^{24} 5^{2} x^{8}\left((\theta+1)^4\right)\)

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Coefficients of the holomorphic solution: 1, 6, -810, -47784, 3354534, ...
--> OEIS
Normalized instanton numbers (n0=1): 127, -14353/2, 1566863/3, -106847355/2, 6507370854, ... ; Common denominator:...

Discriminant

\(-(81z+1)(419904z^3-22680z^2+79z-1)(-1-288z+29160z^2)^2\)

Local exponents

\(-\frac{ 1}{ 81}\)\(\frac{ 2}{ 405}-\frac{ 1}{ 1620}\sqrt{ 154}\)\(0\) ≈\(0.001382-0.006675I\) ≈\(0.001382+0.006675I\)\(\frac{ 2}{ 405}+\frac{ 1}{ 1620}\sqrt{ 154}\) ≈\(0.051248\)\(\infty\)
\(0\)\(0\)\(0\)\(0\)\(0\)\(0\)\(0\)\(1\)
\(1\)\(1\)\(0\)\(1\)\(1\)\(1\)\(1\)\(1\)
\(1\)\(3\)\(0\)\(1\)\(1\)\(3\)\(1\)\(1\)
\(2\)\(4\)\(0\)\(2\)\(2\)\(4\)\(2\)\(1\)

Note:

This is operator "8.62" from ...

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