1
New Number: 2.36 | AESZ: | Superseeker: -36 128217204 | Hash: 4dbde07f1392f8d49d0e10858d3a17f1
Degree: 2
\(\theta^4-2^{2} 3^{2} x(3\theta+1)(3\theta+2)(72\theta^2+72\theta+31)+2^{8} 3^{8} x^{2}(3\theta+1)(3\theta+2)(3\theta+4)(3\theta+5)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 2232, 13377960, 102324983040, 875961004703400, ... --> OEIS Normalized instanton numbers (n0=1): -36, -486279, 128217204, -74772628524, 63925611915744, ... ; Common denominator:...
\((11664z-1)^2\)
| \(0\) | \(\frac{ 1}{ 11664}\) | \(\infty\) |
|---|---|---|
| \(0\) | \(0\) | \(\frac{ 1}{ 3}\) |
| \(0\) | \(\frac{ 1}{ 6}\) | \(\frac{ 2}{ 3}\) |
| \(0\) | \(\frac{ 5}{ 6}\) | \(\frac{ 4}{ 3}\) |
| \(0\) | \(1\) | \(\frac{ 5}{ 3}\) |
2
New Number: 4.5 | AESZ: | Superseeker: -36 -62596/3 | Hash: f5b4785eb6dd46eea771050179115d33
Degree: 4
\(\theta^4-2^{2} 3 x\left(48\theta^4+96\theta^3+115\theta^2+67\theta+15\right)+2^{4} 3^{2} x^{2}\left(480\theta^4+1920\theta^3+2580\theta^2+1320\theta+151\right)+2^{8} 3^{4} x^{3}(48\theta^2+144\theta+145)(2\theta+3)^2+2^{14} 3^{6} x^{4}(\theta+2)^2(2\theta+3)(2\theta+5)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 180, 44676, 11798640, 3241596996, ... --> OEIS Normalized instanton numbers (n0=1): -36, -756, -62596/3, -839088, -37432800, ... ; Common denominator:...
\((-1+288z+6912z^2)^2\)
| \(-\frac{ 1}{ 48}-\frac{ 1}{ 72}\sqrt{ 3}\) | \(0\) | \(s_1\) | \(s_2\) | \(-\frac{ 1}{ 48}+\frac{ 1}{ 72}\sqrt{ 3}\) | \(\infty\) |
|---|---|---|---|---|---|
| \(0\) | \(0\) | \(-\frac{ 1}{ 2}\) | \(-\frac{ 1}{ 2}\) | \(0\) | \(\frac{ 3}{ 2}\) |
| \(-\frac{ 1}{ 2}\) | \(0\) | \(0\) | \(0\) | \(-\frac{ 1}{ 2}\) | \(2\) |
| \(1\) | \(0\) | \(1\) | \(1\) | \(1\) | \(2\) |
| \(\frac{ 3}{ 2}\) | \(0\) | \(\frac{ 3}{ 2}\) | \(\frac{ 3}{ 2}\) | \(\frac{ 3}{ 2}\) | \(\frac{ 5}{ 2}\) |