1
New Number: 3.19 | AESZ: 389 | Superseeker: 66 69048 | Hash: c5cca5b7bfc61c4e8b38fab025244078
Degree: 3
\(\theta^4-2 x\left(742\theta^4+1484\theta^3+1295\theta^2+553\theta+95\right)+2^{2} 5^{3} x^{2}(\theta+1)^2(1468\theta^2+2936\theta+1211)-2^{4} 5^{6} 11^{2} x^{3}(\theta+1)(\theta+2)(2\theta+1)(2\theta+5)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 190, 61170, 22892500, 9212271250, ... --> OEIS Normalized instanton numbers (n0=1): 66, -1780, 69048, -3847892, 244783420, ... ; Common denominator:...
\(-(484z-1)(-1+500z)^2\)
\(0\) | \(\frac{ 1}{ 500}\) | \(\frac{ 1}{ 484}\) | \(\infty\) |
---|---|---|---|
\(0\) | \(0\) | \(0\) | \(\frac{ 1}{ 2}\) |
\(0\) | \(0\) | \(1\) | \(1\) |
\(0\) | \(1\) | \(1\) | \(2\) |
\(0\) | \(1\) | \(2\) | \(\frac{ 5}{ 2}\) |
2
New Number: 8.6 | AESZ: 113 | Superseeker: 11 1200 | Hash: 3754b3cce7930e99efa8acb802e524bb
Degree: 8
\(\theta^4-x(10\theta^2+10\theta+3)(11\theta^2+11\theta+3)+x^{2}\left(1025\theta^4+3992\theta^3+5533\theta^2+3082\theta+615\right)-3^{2} x^{3}\left(110\theta^4-660\theta^3-2027\theta^2-1509\theta-369\right)+3^{2} x^{4}\left(2032\theta^4+4064\theta^3-2726\theta^2-4758\theta-1431\right)+3^{4} x^{5}\left(110\theta^4+1100\theta^3+613\theta^2-125\theta-117\right)+3^{4} x^{6}\left(1025\theta^4+108\theta^3-293\theta^2+108\theta+99\right)+3^{6} x^{7}(10\theta^2+10\theta+3)(11\theta^2+11\theta+3)+3^{8} x^{8}\left((\theta+1)^4\right)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 9, 285, 13671, 799389, ... --> OEIS Normalized instanton numbers (n0=1): 11, 66, 1200, 28201, 802124, ... ; Common denominator:...
\((81z^2+99z-1)(z^2+11z-1)(1+9z^2)^2\)
\(-\frac{ 11}{ 2}-\frac{ 5}{ 2}\sqrt{ 5}\) | \(-\frac{ 11}{ 18}-\frac{ 5}{ 18}\sqrt{ 5}\) | \(0-\frac{ 1}{ 3}I\) | \(0\) | \(0+\frac{ 1}{ 3}I\) | \(-\frac{ 11}{ 18}+\frac{ 5}{ 18}\sqrt{ 5}\) | \(-\frac{ 11}{ 2}+\frac{ 5}{ 2}\sqrt{ 5}\) | \(\infty\) |
---|---|---|---|---|---|---|---|
\(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(1\) |
\(1\) | \(1\) | \(1\) | \(0\) | \(1\) | \(1\) | \(1\) | \(1\) |
\(1\) | \(1\) | \(3\) | \(0\) | \(3\) | \(1\) | \(1\) | \(1\) |
\(2\) | \(2\) | \(4\) | \(0\) | \(4\) | \(2\) | \(2\) | \(1\) |