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:...
\((800z+1)(1+864z)^2\)
| \(-\frac{ 1}{ 800}\) | \(-\frac{ 1}{ 864}\) | \(0\) | \(\infty\) |
|---|---|---|---|
| \(0\) | \(0\) | \(0\) | \(\frac{ 1}{ 3}\) |
| \(1\) | \(\frac{ 1}{ 3}\) | \(0\) | \(\frac{ 5}{ 6}\) |
| \(1\) | \(1\) | \(0\) | \(\frac{ 11}{ 6}\) |
| \(2\) | \(\frac{ 4}{ 3}\) | \(0\) | \(\frac{ 7}{ 3}\) |
3
New Number: 4.75 | AESZ: | Superseeker: 6 389 | Hash: 1e24ac15c33e7bc66a4211a6f86ad179
Degree: 4
\(\theta^4+3 x\left(90\theta^4+150\theta^3+144\theta^2+69\theta+13\right)+3 x^{2}(3\theta+2)(3039\theta^3+8104\theta^2+9017\theta+3783)+3^{3} 13^{2} x^{3}(3\theta+2)(3\theta+5)(30\theta^2+80\theta+63)+3^{2} 13^{4} x^{4}(3\theta+2)(3\theta+5)^2(3\theta+8)\)
Maple LaTexCoefficients of the holomorphic solution: 1, -39, 1989, -110604, 6425757, ... --> OEIS Normalized instanton numbers (n0=1): 6, 33, 389, 6393, 128769, ... ; Common denominator:...
\((1+135z+4563z^2)^2\)
| \(-\frac{ 5}{ 338}-\frac{ 1}{ 3042}\sqrt{ 3}I\) | \(-\frac{ 5}{ 338}+\frac{ 1}{ 3042}\sqrt{ 3}I\) | \(0\) | \(s_1\) | \(s_2\) | \(\infty\) |
|---|---|---|---|---|---|
| \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(\frac{ 2}{ 3}\) |
| \(\frac{ 1}{ 3}\) | \(\frac{ 1}{ 3}\) | \(0\) | \(\frac{ 1}{ 3}\) | \(\frac{ 1}{ 3}\) | \(\frac{ 5}{ 3}\) |
| \(1\) | \(1\) | \(0\) | \(1\) | \(1\) | \(\frac{ 5}{ 3}\) |
| \(\frac{ 4}{ 3}\) | \(\frac{ 4}{ 3}\) | \(0\) | \(\frac{ 4}{ 3}\) | \(\frac{ 4}{ 3}\) | \(\frac{ 8}{ 3}\) |