1
New Number: 3.24 | AESZ: | Superseeker: -2 -108 | Hash: 3c89cc2017daa2eba88c016b8ae5865c
Degree: 3
\(\theta^4+2 x(2\theta+1)^2(3\theta^2+3\theta+1)-2^{2} x^{2}(2\theta+1)(2\theta+3)(47\theta^2+94\theta+51)+2^{4} 7 x^{3}(2\theta+1)(2\theta+3)^2(2\theta+5)\)
Maple LaTexCoefficients of the holomorphic solution: 1, -2, 54, -980, 26950, ... --> OEIS Normalized instanton numbers (n0=1): -2, 17, -108, 1498, -19630, ... ; Common denominator:...
\((16z-1)(112z^2-40z-1)\)
| \(0\) | \(\frac{ 5}{ 28}-\frac{ 1}{ 7}\sqrt{ 2}\) | \(\infty\) | \(\frac{ 1}{ 16}\) | \(\frac{ 5}{ 28}+\frac{ 1}{ 7}\sqrt{ 2}\) |
|---|---|---|---|---|
| \(0\) | \(0\) | \(\frac{ 1}{ 2}\) | \(0\) | \(0\) |
| \(0\) | \(1\) | \(\frac{ 3}{ 2}\) | \(1\) | \(1\) |
| \(0\) | \(1\) | \(\frac{ 3}{ 2}\) | \(1\) | \(1\) |
| \(0\) | \(2\) | \(\frac{ 5}{ 2}\) | \(2\) | \(2\) |
2
New Number: 3.25 | AESZ: | Superseeker: -2 -308/3 | Hash: 287da3a26b0da679d81da411b46958d1
Degree: 3
\(\theta^4+2 x(2\theta+1)^2(7\theta^2+7\theta+3)+2^{2} x^{2}(2\theta+1)(2\theta+3)(29\theta^2+58\theta+33)+2^{4} 3 5 x^{3}(2\theta+1)(2\theta+3)^2(2\theta+5)\)
Maple LaTexCoefficients of the holomorphic solution: 1, -6, 90, -2100, 59850, ... --> OEIS Normalized instanton numbers (n0=1): -2, 12, -308/3, 1058, -71158/5, ... ; Common denominator:...
\((48z+1)(80z^2+8z+1)\)
| \(-\frac{ 1}{ 20}-\frac{ 1}{ 10}I\) | \(0\) | \(-\frac{ 1}{ 48}\) | \(\infty\) | \(-\frac{ 1}{ 20}+\frac{ 1}{ 10}I\) |
|---|---|---|---|---|
| \(0\) | \(0\) | \(0\) | \(\frac{ 1}{ 2}\) | \(0\) |
| \(1\) | \(0\) | \(1\) | \(\frac{ 3}{ 2}\) | \(1\) |
| \(1\) | \(0\) | \(1\) | \(\frac{ 3}{ 2}\) | \(1\) |
| \(2\) | \(0\) | \(2\) | \(\frac{ 5}{ 2}\) | \(2\) |