Summary

You searched for: sol=31587220

Your search produced exactly one match

1

New Number: 6.8 |  AESZ:  |  Superseeker: 567/13 512341/13  |  Hash: 00104510dfaa4ae75940f08df0a52bf5  

Degree: 6

\(13^{2} \theta^4-13 x\left(5041\theta^4+7634\theta^3+5767\theta^2+1950\theta+260\right)+2^{3} x^{2}\left(744635\theta^4+1560842\theta^3+1510101\theta^2+768170\theta+156078\right)-2^{6} 3 x^{3}\left(1232985\theta^4+3409302\theta^3+4189688\theta^2+2419209\theta+518414\right)+2^{9} x^{4}\left(9225025\theta^4+33675338\theta^3+49289090\theta^2+31849807\theta+7296732\right)-2^{12} 3 17 x^{5}(\theta+1)(222704\theta^3+833160\theta^2+989659\theta+317310)+2^{15} 3^{2} 17^{2} 23^{2} x^{6}(\theta+1)(\theta+2)(2\theta+1)(2\theta+5)\)

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Coefficients of the holomorphic solution: 1, 20, 1524, 196400, 31587220, ...
--> OEIS
Normalized instanton numbers (n0=1): 567/13, 11392/13, 512341/13, 34191454/13, 2850663840/13, ... ; Common denominator:...

Discriminant

\((1-293z+4232z^2)(408z-13)^2(16z-1)^2\)

Local exponents

\(0\)\(\frac{ 293}{ 8464}-\frac{ 41}{ 8464}\sqrt{ 41}\)\(\frac{ 13}{ 408}\)\(\frac{ 1}{ 16}\)\(\frac{ 293}{ 8464}+\frac{ 41}{ 8464}\sqrt{ 41}\)\(\infty\)
\(0\)\(0\)\(0\)\(0\)\(0\)\(\frac{ 1}{ 2}\)
\(0\)\(1\)\(1\)\(\frac{ 1}{ 2}\)\(1\)\(1\)
\(0\)\(1\)\(3\)\(\frac{ 1}{ 2}\)\(1\)\(2\)
\(0\)\(2\)\(4\)\(1\)\(2\)\(\frac{ 5}{ 2}\)

Note:

This is operator "6.8" from ...

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