Summary

You searched for: sol=-9872

Your search produced exactly one match

1

New Number: 10.2 |  AESZ:  |  Superseeker: 4 2252/9  |  Hash: 4a65f8c6ad1f8eaf4aa56879ebb94205  

Degree: 10

\(\theta^4+2^{2} x\left(69\theta^4+42\theta^3+45\theta^2+24\theta+5\right)+2^{4} x^{2}\left(2097\theta^4+2748\theta^3+3311\theta^2+1990\theta+489\right)+2^{8} x^{3}\left(9240\theta^4+19254\theta^3+26269\theta^2+17979\theta+5020\right)+2^{10} 3 x^{4}\left(34845\theta^4+101230\theta^3+156798\theta^2+120187\theta+36857\right)+2^{12} x^{5}\left(792225\theta^4+2972406\theta^3+5205467\theta^2+4394830\theta+1449907\right)+2^{14} x^{6}\left(4064601\theta^4+18714936\theta^3+36737137\theta^2+33711480\theta+11807867\right)+2^{18} x^{7}\left(3474333\theta^4+18927498\theta^3+41213301\theta^2+40674636\theta+14985820\right)+2^{20} x^{8}\left(7544547\theta^4+47365644\theta^3+113299226\theta^2+119329996\theta+45950951\right)+2^{24} 23 x^{9}(2\theta+3)(50786\theta^3+284985\theta^2+515497\theta+282264)+2^{28} 3 7^{2} 23^{2} x^{10}(\theta+1)(2\theta+5)(2\theta+3)(\theta+3)\)

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Coefficients of the holomorphic solution: 1, -20, 436, -9872, 228292, ...
--> OEIS
Normalized instanton numbers (n0=1): 4, -31, 2252/9, -11109/4, 33312, ... ; Common denominator:...

Discriminant

\((24z+1)(8z+1)(784z^2+52z+1)(32z+1)^2(736z^2+64z+1)^2\)

Local exponents

\(-\frac{ 1}{ 8}\)\(-\frac{ 1}{ 23}-\frac{ 3}{ 184}\sqrt{ 2}\)\(-\frac{ 1}{ 24}\)\(-\frac{ 13}{ 392}-\frac{ 3}{ 392}\sqrt{ 3}I\)\(-\frac{ 13}{ 392}+\frac{ 3}{ 392}\sqrt{ 3}I\)\(-\frac{ 1}{ 32}\)\(-\frac{ 1}{ 23}+\frac{ 3}{ 184}\sqrt{ 2}\)\(0\)\(\infty\)
\(0\)\(0\)\(0\)\(0\)\(0\)\(0\)\(0\)\(0\)\(1\)
\(1\)\(1\)\(1\)\(1\)\(1\)\(\frac{ 1}{ 2}\)\(1\)\(0\)\(\frac{ 3}{ 2}\)
\(1\)\(3\)\(1\)\(1\)\(1\)\(\frac{ 1}{ 2}\)\(3\)\(0\)\(\frac{ 5}{ 2}\)
\(2\)\(4\)\(2\)\(2\)\(2\)\(1\)\(4\)\(0\)\(3\)

Note:

This is operator "10.2" from ...

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