1
New Number: 8.38 | AESZ: 346 | Superseeker: 713/8 571555/2 | Hash: 65579ed94e039ed095e1b5b7db3674ff
Degree: 8
\(2^{6} \theta^4-2^{3} x\left(5006\theta^4+6610\theta^3+4729\theta^2+1424\theta+168\right)+3^{3} x^{2}\left(183763\theta^4+261274\theta^3+109091\theta^2+22352\theta+2040\right)-3^{7} x^{3}\left(12866\theta^4+150366\theta^3+321775\theta^2+141888\theta+21336\right)-3^{10} x^{4}\left(233330\theta^4-119294\theta^3-333065\theta^2-149446\theta-23109\right)-3^{14} x^{5}\left(3165\theta^4-168162\theta^3+37135\theta^2+52394\theta+11440\right)+2 3^{17} x^{6}\left(28397\theta^4+18450\theta^3+13388\theta^2+7299\theta+1586\right)+3^{22} 11 x^{7}\left(113\theta^4+268\theta^3+284\theta^2+150\theta+32\right)+3^{25} 11^{2} x^{8}\left((\theta+1)^4\right)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 21, 2889, 636357, 171536121, ... --> OEIS Normalized instanton numbers (n0=1): 713/8, 3274, 571555/2, 66913005/2, 20047292157/4, ... ; Common denominator:...
\((27z-1)(6561z^3+2430z^2+457z-1)(-8+567z+24057z^2)^2\)
| ≈\(-0.186267-0.189115I\) | ≈\(-0.186267+0.189115I\) | \(-\frac{ 7}{ 594}-\frac{ 1}{ 1782}\sqrt{ 1497}\) | \(0\) | ≈\(0.002163\) | \(-\frac{ 7}{ 594}+\frac{ 1}{ 1782}\sqrt{ 1497}\) | \(\frac{ 1}{ 27}\) | \(\infty\) |
|---|---|---|---|---|---|---|---|
| \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(1\) |
| \(1\) | \(1\) | \(1\) | \(0\) | \(1\) | \(1\) | \(1\) | \(1\) |
| \(1\) | \(1\) | \(3\) | \(0\) | \(1\) | \(3\) | \(1\) | \(1\) |
| \(2\) | \(2\) | \(4\) | \(0\) | \(2\) | \(4\) | \(2\) | \(1\) |