1
New Number: 8.77 | AESZ: | Superseeker: 91/5 25991/5 | Hash: fa37d863a8d0cc4b7a34e7d9b5e3a1a5
Degree: 8
\(5^{2} \theta^4-5 x\left(693\theta^4+1242\theta^3+931\theta^2+310\theta+40\right)-2^{4} x^{2}\left(659\theta^4+9977\theta^3+17174\theta^2+10200\theta+2160\right)-2^{5} x^{3}\left(7235\theta^4-19374\theta^3-34715\theta^2-7290\theta+1560\right)-2^{8} x^{4}\left(14861\theta^4+40168\theta^3-70511\theta^2-88342\theta-26424\right)-2^{10} x^{5}\left(6973\theta^4+29386\theta^3+99859\theta^2+58446\theta+9864\right)-2^{14} x^{6}\left(6951\theta^4-25713\theta^3-34544\theta^2-14472\theta-1680\right)-2^{15} 11 x^{7}\left(2029\theta^4+5030\theta^3+5139\theta^2+2570\theta+520\right)+2^{18} 3 11^{2} x^{8}(\theta+1)^2(3\theta+2)(3\theta+4)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 8, 408, 28160, 2360440, ... --> OEIS Normalized instanton numbers (n0=1): 91/5, 1158/5, 25991/5, 192163, 42855113/5, ... ; Common denominator:...
\((z-1)(8z+1)(864z^2+136z-1)(5-24z+352z^2)^2\)
\(-\frac{ 17}{ 216}-\frac{ 7}{ 216}\sqrt{ 7}\) | \(-\frac{ 1}{ 8}\) | \(0\) | \(-\frac{ 17}{ 216}+\frac{ 7}{ 216}\sqrt{ 7}\) | \(\frac{ 3}{ 88}-\frac{ 1}{ 88}\sqrt{ 101}I\) | \(\frac{ 3}{ 88}+\frac{ 1}{ 88}\sqrt{ 101}I\) | \(1\) | \(\infty\) |
---|---|---|---|---|---|---|---|
\(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(\frac{ 2}{ 3}\) |
\(1\) | \(1\) | \(0\) | \(1\) | \(1\) | \(1\) | \(1\) | \(1\) |
\(1\) | \(1\) | \(0\) | \(1\) | \(3\) | \(3\) | \(1\) | \(1\) |
\(2\) | \(2\) | \(0\) | \(2\) | \(4\) | \(4\) | \(2\) | \(\frac{ 4}{ 3}\) |