1
New Number: 2.32 | AESZ: | Superseeker: 60 307860 | Hash: c2f30268af49d0bdc6a36f8b0fce3367
Degree: 2
\(\theta^4-2^{2} 3 x(3\theta+1)(3\theta+2)(32\theta^2+32\theta+13)+2^{12} 3^{2} x^{2}(3\theta+1)(3\theta+2)(3\theta+4)(3\theta+5)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 312, 268200, 297104640, 370278354600, ... --> OEIS Normalized instanton numbers (n0=1): 60, -7635, 307860, -44194980, 3687387360, ... ; Common denominator:...
\((1728z-1)^2\)
| \(0\) | \(\frac{ 1}{ 1728}\) | \(\infty\) |
|---|---|---|
| \(0\) | \(0\) | \(\frac{ 1}{ 3}\) |
| \(0\) | \(\frac{ 1}{ 4}\) | \(\frac{ 2}{ 3}\) |
| \(0\) | \(\frac{ 3}{ 4}\) | \(\frac{ 4}{ 3}\) |
| \(0\) | \(1\) | \(\frac{ 5}{ 3}\) |
2
New Number: 5.112 | AESZ: 395 | Superseeker: 4 940 | Hash: 2d13c01eaf16983977dfb0325c5f376e
Degree: 5
\(\theta^4-2^{2} x\theta(22\theta^3+8\theta^2+5\theta+1)+2^{5} x^{2}\left(34\theta^4-152\theta^3-265\theta^2-163\theta-36\right)+2^{8} x^{3}\left(142\theta^4+600\theta^3+335\theta^2-39\theta-54\right)-2^{11} 3 x^{4}\left(68\theta^4-56\theta^3-295\theta^2-261\theta-72\right)-2^{15} 3^{2} x^{5}(4\theta+3)(\theta+1)^2(4\theta+5)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 0, 72, 1728, 72360, ... --> OEIS Normalized instanton numbers (n0=1): 4, 60, 940, 19091, 463904, ... ; Common denominator:...
\(-(16z+1)(8z+1)(64z-1)(-1+24z)^2\)
| \(-\frac{ 1}{ 8}\) | \(-\frac{ 1}{ 16}\) | \(0\) | \(\frac{ 1}{ 64}\) | \(\frac{ 1}{ 24}\) | \(\infty\) |
|---|---|---|---|---|---|
| \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(\frac{ 3}{ 4}\) |
| \(1\) | \(1\) | \(0\) | \(1\) | \(1\) | \(1\) |
| \(1\) | \(1\) | \(0\) | \(1\) | \(3\) | \(1\) |
| \(2\) | \(2\) | \(0\) | \(2\) | \(4\) | \(\frac{ 5}{ 4}\) |
3
New Number: 1.5 | AESZ: 5 | Superseeker: 60 134292 | Hash: a6c4fb927cb2a4bb1103c1c739a252b0
Degree: 1
\(\theta^4-2^{2} 3 x(3\theta+1)(2\theta+1)^2(3\theta+2)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 24, 3240, 672000, 169785000, ... --> OEIS Normalized instanton numbers (n0=1): 60, 1869, 134292, 14016600, 1806410976, ... ; Common denominator:...
\(1-432z\)
| \(0\) | \(\frac{ 1}{ 432}\) | \(\infty\) |
|---|---|---|
| \(0\) | \(0\) | \(\frac{ 1}{ 3}\) |
| \(0\) | \(1\) | \(\frac{ 1}{ 2}\) |
| \(0\) | \(1\) | \(\frac{ 1}{ 2}\) |
| \(0\) | \(2\) | \(\frac{ 2}{ 3}\) |