Summary

You searched for: sol=16/3

Your search produced exactly one match

1

New Number: 13.14 |  AESZ:  |  Superseeker: 20/3 36340/81  |  Hash: 4b391bfc7d7d7a60edd430907aff9fae  

Degree: 13

\(3^{2} \theta^4+2^{2} 3 x\left(47\theta^4-50\theta^3-45\theta^2-20\theta-4\right)+2^{4} x^{2}\left(511\theta^4-1052\theta^3+179\theta^2+302\theta+132\right)-2^{7} x^{3}\left(179\theta^4-306\theta^3+1857\theta^2+2226\theta+931\right)-2^{8} x^{4}\left(2396\theta^4+17992\theta^3+43050\theta^2+42004\theta+13733\right)-2^{10} x^{5}\left(19724\theta^4+94712\theta^3+170136\theta^2+115772\theta+521\right)-2^{12} x^{6}\left(1556\theta^4-52704\theta^3-398172\theta^2-916440\theta-712527\right)+2^{15} x^{7}\left(62300\theta^4+489880\theta^3+1536500\theta^2+2159040\theta+1096749\right)-2^{18} x^{8}\left(8756\theta^4+79664\theta^3+485090\theta^2+1462308\theta+1567885\right)-2^{20} x^{9}\left(45096\theta^4+509616\theta^3+2195020\theta^2+4371756\theta+3428277\right)+2^{22} x^{10}\left(43984\theta^4+538112\theta^3+2558944\theta^2+5583456\theta+4682427\right)-2^{25} x^{11}\left(7792\theta^4+99808\theta^3+490272\theta^2+1087312\theta+914209\right)+2^{28} x^{12}\left(592\theta^4+7872\theta^3+39704\theta^2+89808\theta+76717\right)-2^{31} x^{13}\left((2\theta+7)^4\right)\)

Maple   LaTex

Coefficients of the holomorphic solution: 1, 16/3, 52/3, 3200/27, 129668/81, ...
--> OEIS
Normalized instanton numbers (n0=1): 20/3, -410/9, 36340/81, -5386783/972, 57719264/729, ... ; Common denominator:...

Discriminant

\(-(8z-1)(1024z^4-2048z^3+144z^2-4z+1)(8z-3)^2(8z+1)^2(32z^2-32z-1)^2\)

Local exponents

\(-\frac{ 1}{ 8}\)\(\frac{ 1}{ 2}-\frac{ 3}{ 8}\sqrt{ 2}\) ≈\(-0.015388\) ≈\(-0.015388\)\(0\) ≈\(0.102801\)\(\frac{ 1}{ 8}\)\(\frac{ 3}{ 8}\)\(\frac{ 1}{ 2}+\frac{ 3}{ 8}\sqrt{ 2}\) ≈\(1.927975\)\(\infty\)
\(0\)\(0\)\(0\)\(0\)\(0\)\(0\)\(0\)\(0\)\(0\)\(0\)\(\frac{ 7}{ 2}\)
\(\frac{ 1}{ 2}\)\(1\)\(1\)\(1\)\(0\)\(1\)\(1\)\(1\)\(1\)\(1\)\(\frac{ 7}{ 2}\)
\(\frac{ 1}{ 2}\)\(3\)\(1\)\(1\)\(0\)\(1\)\(1\)\(-2\)\(3\)\(1\)\(\frac{ 7}{ 2}\)
\(1\)\(4\)\(2\)\(2\)\(0\)\(2\)\(2\)\(3\)\(4\)\(2\)\(\frac{ 7}{ 2}\)

Note:

This is operator "13.14" from ...

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