Summary

You searched for: sol=16816846

Your search produced exactly one match

1

New Number: 8.34 |  AESZ: 323  |  Superseeker: 100/3 73111/3  |  Hash: 77c03b04c3a10350b5b0ccd2d204b18f  

Degree: 8

\(3^{2} \theta^4-3 x\left(811\theta^4+1358\theta^3+1012\theta^2+333\theta+42\right)-x^{2}\left(2424+7494\theta-17551\theta^2-88948\theta^3-73291\theta^4\right)-2^{3} x^{3}\left(94934\theta^4+80991\theta^3+29036\theta^2+5175\theta+420\right)+2^{4} x^{4}\left(180401\theta^4+173998\theta^3+77713\theta^2+15788\theta+708\right)-2^{7} x^{5}\left(33304\theta^4+24919\theta^3-2720\theta^2-8451\theta-2404\right)+2^{8} x^{6}\left(8603\theta^4+1812\theta^3-4453\theta^2-3666\theta-952\right)+2^{11} 3 x^{7}\left(5\theta^4+142\theta^3+296\theta^2+225\theta+60\right)-2^{14} 3^{2} x^{8}\left((\theta+1)^4\right)\)

Maple   LaTex

Coefficients of the holomorphic solution: 1, 14, 1054, 120776, 16816846, ...
--> OEIS
Normalized instanton numbers (n0=1): 100/3, 1880/3, 73111/3, 4310384/3, 314245046/3, ... ; Common denominator:...

Discriminant

\(-(-1+241z-827z^2+104z^3+64z^4)(3-44z+48z^2)^2\)

Local exponents

\(0\)\(\frac{ 11}{ 24}-\frac{ 1}{ 24}\sqrt{ 85}\)\(\frac{ 11}{ 24}+\frac{ 1}{ 24}\sqrt{ 85}\)\(#ND+#NDI\)\(\infty\)
\(0\)\(0\)\(0\)\(0\)\(1\)
\(0\)\(1\)\(1\)\(1\)\(1\)
\(0\)\(3\)\(3\)\(1\)\(1\)
\(0\)\(4\)\(4\)\(2\)\(1\)

Note:

This operator has a second MUM-point at infinity corresponding to operator 8.33

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