Summary

You searched for: inst=958347

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1

New Number: 6.6 |  AESZ:  |  Superseeker: 25 17452  |  Hash: e97e9b0e87960fe4cffbb22a5e935b4a  

Degree: 6

\(\theta^4-x\left(12+100\theta+305\theta^2+410\theta^3+205\theta^4\right)-2^{5} x^{2}\left(127\theta^4+508\theta^3+742\theta^2+468\theta+99\right)-2^{2} 3 x^{3}\left(2588\theta^4+15528\theta^3+32639\theta^2+28041\theta+7290\right)-2^{6} 3^{2} x^{4}\left(204\theta^4+1632\theta^3+4449\theta^2+4740\theta+1400\right)-2^{7} 3^{3} x^{5}(16\theta^2+80\theta+35)(2\theta+5)^2-2^{7} 3^{4} x^{6}(2\theta+11)(2\theta+7)(2\theta+5)(2\theta+1)\)

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Coefficients of the holomorphic solution: 1, 12, 972, 106200, 14027580, ...
--> OEIS
Normalized instanton numbers (n0=1): 25, 446, 17452, 958347, 65098152, ... ; Common denominator:...

Discriminant

\(-(3z+1)(3456z^3+1728z^2+216z-1)(4z+1)^2\)

Local exponents

\(-\frac{ 1}{ 3}\) ≈\(-0.252234-0.033647I\) ≈\(-0.252234+0.033647I\)\(-\frac{ 1}{ 4}\)\(0\)\(\frac{ 1}{ 12}2^(\frac{ 1}{ 3})+\frac{ 1}{ 24}2^(\frac{ 2}{ 3})-\frac{ 1}{ 6}\)\(\infty\)
\(0\)\(0\)\(0\)\(0\)\(0\)\(0\)\(\frac{ 1}{ 2}\)
\(1\)\(1\)\(1\)\(\frac{ 1}{ 2}\)\(0\)\(1\)\(\frac{ 5}{ 2}\)
\(1\)\(1\)\(1\)\(\frac{ 1}{ 2}\)\(0\)\(1\)\(\frac{ 7}{ 2}\)
\(2\)\(2\)\(2\)\(1\)\(0\)\(2\)\(\frac{ 11}{ 2}\)

Note:

This is operator "6.6" from ...

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