1
New Number: 2.17 | AESZ: 111 | Superseeker: 32 1440 | Hash: d8535e0f3d0bfd4ebcc9c042df43c218
Degree: 2
\(\theta^4-2^{4} x(2\theta+1)^2(8\theta^2+8\theta+3)+2^{12} x^{2}(2\theta+1)^2(2\theta+3)^2\)
Maple LaTexCoefficients of the holomorphic solution: 1, 48, 5904, 940800, 169520400, ... --> OEIS Normalized instanton numbers (n0=1): 32, -96, 1440, 19704, -14496, ... ; Common denominator:...
\((256z-1)^2\)
\(0\) | \(\frac{ 1}{ 256}\) | \(\infty\) |
---|---|---|
\(0\) | \(0\) | \(\frac{ 1}{ 2}\) |
\(0\) | \(\frac{ 1}{ 2}\) | \(\frac{ 1}{ 2}\) |
\(0\) | \(\frac{ 1}{ 2}\) | \(\frac{ 3}{ 2}\) |
\(0\) | \(1\) | \(\frac{ 3}{ 2}\) |
2
New Number: 8.13 | AESZ: 163 | Superseeker: 12 3020/3 | Hash: e21fd830a9dca03305deb8363a26fcf2
Degree: 8
\(\theta^4-2^{2} 3 x\left((3\theta^2+3\theta+1)^2\right)+2^{4} 3^{2} x^{2}\left(21\theta^4+156\theta^3+219\theta^2+126\theta+29\right)+2^{7} 3^{4} x^{3}(3\theta^2+3\theta+1)(3\theta^2-21\theta-35)-2^{10} 3^{5} x^{4}\left(27\theta^4+54\theta^3-114\theta^2-141\theta-49\right)+2^{12} 3^{7} x^{5}(3\theta^2+3\theta+1)(3\theta^2+27\theta-11)+2^{14} 3^{8} x^{6}\left(21\theta^4-72\theta^3-123\theta^2-72\theta-13\right)-2^{17} 3^{10} x^{7}\left((3\theta^2+3\theta+1)^2\right)+2^{20} 3^{12} x^{8}\left((\theta+1)^4\right)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 12, 180, 2352, 6084, ... --> OEIS Normalized instanton numbers (n0=1): 12, -96, 3020/3, -71493/4, 319584, ... ; Common denominator:...
\((1728z^2-72z+1)(432z^2-36z+1)(-1+864z^2)^2\)
\(-\frac{ 1}{ 72}\sqrt{ 6}\) | \(0\) | \(\frac{ 1}{ 48}-\frac{ 1}{ 144}\sqrt{ 3}I\) | \(\frac{ 1}{ 48}+\frac{ 1}{ 144}\sqrt{ 3}I\) | \(\frac{ 1}{ 72}\sqrt{ 6}\) | \(\frac{ 1}{ 24}-\frac{ 1}{ 72}\sqrt{ 3}I\) | \(\frac{ 1}{ 24}+\frac{ 1}{ 72}\sqrt{ 3}I\) | \(\infty\) |
---|---|---|---|---|---|---|---|
\(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(1\) |
\(1\) | \(0\) | \(1\) | \(1\) | \(1\) | \(1\) | \(1\) | \(1\) |
\(3\) | \(0\) | \(1\) | \(1\) | \(3\) | \(1\) | \(1\) | \(1\) |
\(4\) | \(0\) | \(2\) | \(2\) | \(4\) | \(2\) | \(2\) | \(1\) |