Summary

You searched for: sol=-1440

Your search produced exactly one match

1

New Number: 8.21 |  AESZ: 251  |  Superseeker: -9 -3145/3  |  Hash: dd2b60d18804c72129ba319fc8b50023  

Degree: 8

\(\theta^4-3 x\theta(-2-11\theta-18\theta^2+27\theta^3)-2 3^{2} x^{2}\left(39\theta^4+480\theta^3+474\theta^2+276\theta+64\right)+2^{3} 3^{4} x^{3}\left(348\theta^4+1152\theta^3+1759\theta^2+1110\theta+260\right)-2^{3} 3^{5} x^{4}\left(3420\theta^4+15912\theta^3+28437\theta^2+20544\theta+5296\right)+2^{4} 3^{7} x^{5}\left(1125\theta^4+12546\theta^3+31089\theta^2+26448\theta+7480\right)+2^{5} 3^{9} x^{6}\left(1395\theta^4+3240\theta^3-3378\theta^2-7146\theta-2696\right)-2^{7} 3^{11} x^{7}\left(351\theta^4+2646\theta^3+4767\theta^2+3309\theta+800\right)-2^{7} 3^{13} x^{8}(3\theta+2)(3\theta+4)(6\theta+5)(6\theta+7)\)

Maple   LaTex

Coefficients of the holomorphic solution: 1, 0, 72, -1440, 48600, ...
--> OEIS
Normalized instanton numbers (n0=1): -9, -27/4, -3145/3, -20907/4, -327348, ... ; Common denominator:...

Discriminant

\(-(54z+1)(27z-1)(432z^2-36z+1)(-1+36z+324z^2)^2\)

Local exponents

\(-\frac{ 1}{ 18}-\frac{ 1}{ 18}\sqrt{ 2}\)\(-\frac{ 1}{ 54}\)\(0\)\(-\frac{ 1}{ 18}+\frac{ 1}{ 18}\sqrt{ 2}\)\(\frac{ 1}{ 27}\)\(\frac{ 1}{ 24}-\frac{ 1}{ 72}\sqrt{ 3}I\)\(\frac{ 1}{ 24}+\frac{ 1}{ 72}\sqrt{ 3}I\)\(\infty\)
\(0\)\(0\)\(0\)\(0\)\(0\)\(0\)\(0\)\(\frac{ 2}{ 3}\)
\(1\)\(1\)\(0\)\(1\)\(1\)\(1\)\(1\)\(\frac{ 5}{ 6}\)
\(3\)\(1\)\(0\)\(3\)\(1\)\(1\)\(1\)\(\frac{ 7}{ 6}\)
\(4\)\(2\)\(0\)\(4\)\(2\)\(2\)\(2\)\(\frac{ 4}{ 3}\)

Note:

This is operator "8.21" from ...

Show more...  or download as   plain text  |  PDF  |  Maple  |  LaTex