1
New Number: 3.22 | AESZ: 392 | Superseeker: 166 1016100 | Hash: 5862be5cc4d3ec1686e6b9a6ec08f7e7
Degree: 3
\(\theta^4-2 x\left(230\theta^4+496\theta^3+323\theta^2+75\theta+6\right)-2^{2} 3 x^{2}(6\theta+5)(1866\theta^3+5341\theta^2+4760\theta+1084)-2^{4} 3^{2} 13^{2} x^{3}(6\theta+5)(6\theta+11)(3\theta+1)(3\theta+7)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 12, 5760, 1664544, 681014880, ... --> OEIS Normalized instanton numbers (n0=1): 166, 8076, 1016100, 189329096, 43879949258, ... ; Common denominator:...
\(-(676z-1)(1+108z)^2\)
| \(-\frac{ 1}{ 108}\) | \(0\) | \(\frac{ 1}{ 676}\) | \(\infty\) |
|---|---|---|---|
| \(0\) | \(0\) | \(0\) | \(\frac{ 1}{ 3}\) |
| \(\frac{ 1}{ 3}\) | \(0\) | \(1\) | \(\frac{ 5}{ 6}\) |
| \(1\) | \(0\) | \(1\) | \(\frac{ 11}{ 6}\) |
| \(\frac{ 4}{ 3}\) | \(0\) | \(2\) | \(\frac{ 7}{ 3}\) |
2
New Number: 3.23 | AESZ: 393 | Superseeker: -128 -263808 | Hash: c49c1e5d127755611021be0fc2c55d06
Degree: 3
\(\theta^4+2^{5} x\left(79\theta^4+140\theta^3+112\theta^2+42\theta+6\right)+2^{8} 3 x^{2}(6\theta+5)(462\theta^3+1255\theta^2+1052\theta+235)+2^{13} 3^{2} 5^{2} x^{3}(6\theta+5)(6\theta+11)(3\theta+1)(3\theta+7)\)
Maple LaTexCoefficients of the holomorphic solution: 1, -192, 89136, -51502080, 32954034960, ... --> OEIS Normalized instanton numbers (n0=1): -128, -5148, -263808, -22378134, -2164448640, ... ; Common denominator:...
\((800z+1)(1+864z)^2\)
| \(-\frac{ 1}{ 800}\) | \(-\frac{ 1}{ 864}\) | \(0\) | \(\infty\) |
|---|---|---|---|
| \(0\) | \(0\) | \(0\) | \(\frac{ 1}{ 3}\) |
| \(1\) | \(\frac{ 1}{ 3}\) | \(0\) | \(\frac{ 5}{ 6}\) |
| \(1\) | \(1\) | \(0\) | \(\frac{ 11}{ 6}\) |
| \(2\) | \(\frac{ 4}{ 3}\) | \(0\) | \(\frac{ 7}{ 3}\) |