1
New Number: 2.13 | AESZ: 36 | Superseeker: 16 1232 | Hash: dea6fdf568a5907a24ba30fef2caf124
Degree: 2
\(\theta^4-2^{4} x(2\theta+1)^2(3\theta^2+3\theta+1)+2^{9} x^{2}(2\theta+1)^2(2\theta+3)^2\)
Maple LaTexCoefficients of the holomorphic solution: 1, 16, 720, 44800, 3312400, ... --> OEIS Normalized instanton numbers (n0=1): 16, 42, 1232, 32159, 990128, ... ; Common denominator:...
\((128z-1)(64z-1)\)
\(0\) | \(\frac{ 1}{ 128}\) | \(\frac{ 1}{ 64}\) | \(\infty\) |
---|---|---|---|
\(0\) | \(0\) | \(0\) | \(\frac{ 1}{ 2}\) |
\(0\) | \(1\) | \(1\) | \(\frac{ 1}{ 2}\) |
\(0\) | \(1\) | \(1\) | \(\frac{ 3}{ 2}\) |
\(0\) | \(2\) | \(2\) | \(\frac{ 3}{ 2}\) |
2
New Number: 2.55 | AESZ: 42 | Superseeker: 8 1000 | Hash: c389d3bc0e31801bc4b7b3e186702bc9
Degree: 2
\(\theta^4-2^{3} x(2\theta+1)^2(3\theta^2+3\theta+1)+2^{6} x^{2}(2\theta+1)(\theta+1)^2(2\theta+3)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 8, 240, 10880, 597520, ... --> OEIS Normalized instanton numbers (n0=1): 8, 63, 1000, 44369/2, 606168, ... ; Common denominator:...
\(1-96z+256z^2\)
\(0\) | \(\frac{ 3}{ 16}-\frac{ 1}{ 8}\sqrt{ 2}\) | \(\frac{ 3}{ 16}+\frac{ 1}{ 8}\sqrt{ 2}\) | \(\infty\) |
---|---|---|---|
\(0\) | \(0\) | \(0\) | \(\frac{ 1}{ 2}\) |
\(0\) | \(1\) | \(1\) | \(1\) |
\(0\) | \(1\) | \(1\) | \(1\) |
\(0\) | \(2\) | \(2\) | \(\frac{ 3}{ 2}\) |
3
New Number: 7.1 | AESZ: | Superseeker: 10/7 508/7 | Hash: 08ab3cb496250adfa30bc3e24ac63c4f
Degree: 7
\(7^{2} \theta^4-2 7 x\theta(46\theta^3+52\theta^2+33\theta+7)-2^{2} x^{2}\left(7332\theta^4+28848\theta^3+42633\theta^2+26670\theta+6272\right)-2^{4} x^{3}\left(2860\theta^4+44760\theta^3+120483\theta^2+111279\theta+35098\right)+2^{9} x^{4}\left(2230\theta^4+5920\theta^3-741\theta^2-6509\theta-3049\right)+2^{14} x^{5}\left(174\theta^4+1320\theta^3+1971\theta^2+1095\theta+190\right)-2^{19} x^{6}\left(22\theta^4+24\theta^3-9\theta^2-21\theta-7\right)-2^{25} x^{7}\left((\theta+1)^4\right)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 0, 32, 288, 7776, ... --> OEIS Normalized instanton numbers (n0=1): 10/7, 100/7, 508/7, 808, 59910/7, ... ; Common denominator:...
\(-(16z+1)(32z-1)(32z-7)^2(4z+1)^3\)
\(-\frac{ 1}{ 4}\) | \(-\frac{ 1}{ 16}\) | \(0\) | \(\frac{ 1}{ 32}\) | \(\frac{ 7}{ 32}\) | \(\infty\) |
---|---|---|---|---|---|
\(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(1\) |
\(\frac{ 1}{ 2}\) | \(1\) | \(0\) | \(1\) | \(1\) | \(1\) |
\(\frac{ 3}{ 2}\) | \(1\) | \(0\) | \(1\) | \(3\) | \(1\) |
\(2\) | \(2\) | \(0\) | \(2\) | \(4\) | \(1\) |