1
New Number: 3.17 | AESZ: 387 | Superseeker: 68 125636/3 | Hash: 06864aab02693f4b84eb494138bb3428
Degree: 3
\(\theta^4-2^{2} x\left(228\theta^4+456\theta^3+385\theta^2+157\theta+26\right)+2^{11} x^{2}(\theta+1)^2(132\theta^2+264\theta+109)-2^{18} 5^{2} x^{3}(\theta+1)(\theta+2)(2\theta+1)(2\theta+5)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 104, 18600, 3925760, 906368680, ... --> OEIS Normalized instanton numbers (n0=1): 68, 204, 125636/3, 841384, 123715360, ... ; Common denominator:...
\(-(400z-1)(-1+256z)^2\)
| \(0\) | \(\frac{ 1}{ 400}\) | \(\frac{ 1}{ 256}\) | \(\infty\) |
|---|---|---|---|
| \(0\) | \(0\) | \(0\) | \(\frac{ 1}{ 2}\) |
| \(0\) | \(1\) | \(0\) | \(1\) |
| \(0\) | \(1\) | \(1\) | \(2\) |
| \(0\) | \(2\) | \(1\) | \(\frac{ 5}{ 2}\) |
2
New Number: 8.19 | AESZ: 201 | Superseeker: 32 7584 | Hash: d21570c07bca6887061716b2d727fa75
Degree: 8
\(\theta^4-2^{4} x\left(13\theta^4+26\theta^3+20\theta^2+7\theta+1\right)+2^{8} x^{2}\left(9\theta^4+192\theta^3+249\theta^2+114\theta+20\right)+2^{12} x^{3}\left(379\theta^4+246\theta^3-569\theta^2-318\theta-60\right)-2^{16} x^{4}\left(749\theta^4+2560\theta^3-1722\theta^2-1862\theta-474\right)-2^{20} 13 x^{5}\left(251\theta^4-10\theta^3+262\theta^2+145\theta+27\right)+2^{24} 13 x^{6}\left(471\theta^4+96\theta^3+17\theta^2+96\theta+42\right)+2^{28} 13^{2} x^{7}\left(41\theta^4+82\theta^3+67\theta^2+26\theta+4\right)-2^{35} 13^{2} x^{8}\left((\theta+1)^4\right)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 16, 752, 49408, 3805456, ... --> OEIS Normalized instanton numbers (n0=1): 32, -152, 7584, -160593, 7055200, ... ; Common denominator:...
\(-(128z-1)(16z+1)(256z^2-96z+1)(-1+3328z^2)^2\)
| \(-\frac{ 1}{ 16}\) | \(-\frac{ 1}{ 208}\sqrt{ 13}\) | \(0\) | \(\frac{ 1}{ 128}\) | \(\frac{ 3}{ 16}-\frac{ 1}{ 8}\sqrt{ 2}\) | \(\frac{ 1}{ 208}\sqrt{ 13}\) | \(\frac{ 3}{ 16}+\frac{ 1}{ 8}\sqrt{ 2}\) | \(\infty\) |
|---|---|---|---|---|---|---|---|
| \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(1\) |
| \(1\) | \(1\) | \(0\) | \(1\) | \(1\) | \(1\) | \(1\) | \(1\) |
| \(1\) | \(3\) | \(0\) | \(1\) | \(1\) | \(3\) | \(1\) | \(1\) |
| \(2\) | \(4\) | \(0\) | \(2\) | \(2\) | \(4\) | \(2\) | \(1\) |