1
New Number: 4.47 | AESZ: 239 | Superseeker: 1584 171534960 | Hash: 8e610c3437d7f38e552038bc55399495
Degree: 4
\(\theta^4+2^{4} 3 x\left(9\theta^4-198\theta^3-131\theta^2-32\theta-3\right)-2^{11} 3^{2} x^{2}\left(486\theta^4+1215\theta^3+81\theta^2-27\theta-5\right)-2^{16} 3^{5} x^{3}\left(891\theta^4+972\theta^3+675\theta^2+216\theta+25\right)-2^{23} 3^{8} x^{4}(3\theta+1)^2(3\theta+2)^2\)
Maple LaTexCoefficients of the holomorphic solution: 1, 144, 147600, 239904000, 479672701200, ... --> OEIS Normalized instanton numbers (n0=1): 1584, -17874, 171534960, 30012731550, 105934107802896, ... ; Common denominator:...
\(-(432z+1)(3456z-1)(1+1728z)^2\)
| \(-\frac{ 1}{ 432}\) | \(-\frac{ 1}{ 1728}\) | \(0\) | \(\frac{ 1}{ 3456}\) | \(\infty\) |
|---|---|---|---|---|
| \(0\) | \(0\) | \(0\) | \(0\) | \(\frac{ 1}{ 3}\) |
| \(1\) | \(1\) | \(0\) | \(1\) | \(\frac{ 1}{ 3}\) |
| \(1\) | \(3\) | \(0\) | \(1\) | \(\frac{ 2}{ 3}\) |
| \(2\) | \(4\) | \(0\) | \(2\) | \(\frac{ 2}{ 3}\) |
2
New Number: 4.68 | AESZ: 337 | Superseeker: 2043/5 88982631/5 | Hash: dc26e94a7c1daba6f627be36c42019b7
Degree: 4
\(5^{2} \theta^4-3 5 x\left(3483\theta^4+6102\theta^3+4241\theta^2+1190\theta+120\right)+2^{5} 3^{2} x^{2}\left(31428\theta^4+35559\theta^3+243\theta^2-4320\theta-740\right)-2^{8} 3^{5} x^{3}\left(7371\theta^4+4860\theta^3+2997\theta^2+1080\theta+140\right)+2^{13} 3^{8} x^{4}(3\theta+1)^2(3\theta+2)^2\)
Maple LaTexCoefficients of the holomorphic solution: 1, 72, 41400, 37396800, 41397463800, ... --> OEIS Normalized instanton numbers (n0=1): 2043/5, 279018/5, 88982631/5, 8604708876, 25774859896713/5, ... ; Common denominator:...
\((23328z^2-1917z+1)(-5+432z)^2\)
| \(0\) | \(s_1\) | \(s_2\) | \(\frac{ 71}{ 1728}-\frac{ 17}{ 1728}\sqrt{ 17}\) | \(\frac{ 5}{ 432}\) | \(\frac{ 71}{ 1728}+\frac{ 17}{ 1728}\sqrt{ 17}\) | \(\infty\) |
|---|---|---|---|---|---|---|
| \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(\frac{ 1}{ 3}\) |
| \(0\) | \(1\) | \(1\) | \(1\) | \(1\) | \(1\) | \(\frac{ 1}{ 3}\) |
| \(0\) | \(1\) | \(1\) | \(1\) | \(3\) | \(1\) | \(\frac{ 2}{ 3}\) |
| \(0\) | \(2\) | \(2\) | \(2\) | \(4\) | \(2\) | \(\frac{ 2}{ 3}\) |
3
New Number: 1.4 | AESZ: 4 | Superseeker: 117 713814 | Hash: 1f2a9672b7cdc68eae658b2304b40dbd
Degree: 1
\(\theta^4-3^{2} x(3\theta+1)^2(3\theta+2)^2\)
Maple LaTexCoefficients of the holomorphic solution: 1, 36, 8100, 2822400, 1200622500, ... --> OEIS Normalized instanton numbers (n0=1): 117, 5868, 713814, 126605376, 27754210287, ... ; Common denominator:...
\(1-729z\)
| \(0\) | \(\frac{ 1}{ 729}\) | \(\infty\) |
|---|---|---|
| \(0\) | \(0\) | \(\frac{ 1}{ 3}\) |
| \(0\) | \(1\) | \(\frac{ 1}{ 3}\) |
| \(0\) | \(1\) | \(\frac{ 2}{ 3}\) |
| \(0\) | \(2\) | \(\frac{ 2}{ 3}\) |