1
New Number: 5.129 | AESZ: | Superseeker: -26 -8344 | Hash: 6c96cbe2aa88f7096e6b9f02e290d167
Degree: 5
\(\theta^4+2 x\left(24\theta^4+228\theta^3+181\theta^2+67\theta+10\right)-2^{2} 5 x^{2}\left(584\theta^4+392\theta^3-1717\theta^2-1320\theta-300\right)-2^{4} 3 5^{2} x^{3}\left(128\theta^4+2328\theta^3+3008\theta^2+1563\theta+290\right)+2^{6} 3^{2} 5^{3} x^{4}(2\theta+1)(266\theta^3+831\theta^2+883\theta+315)-2^{8} 3^{3} 5^{4} x^{5}(2\theta+1)(6\theta+5)(6\theta+7)(2\theta+3)\)
Maple LaTexCoefficients of the holomorphic solution: 1, -20, 900, -52400, 3482500, ... --> OEIS Normalized instanton numbers (n0=1): -26, -561/2, -8344, -278334, -11536332, ... ; Common denominator:...
\(-(20z-1)(108z+1)(80z+1)(-1+60z)^2\)
| \(-\frac{ 1}{ 80}\) | \(-\frac{ 1}{ 108}\) | \(0\) | \(\frac{ 1}{ 60}\) | \(\frac{ 1}{ 20}\) | \(\infty\) |
|---|---|---|---|---|---|
| \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(\frac{ 1}{ 2}\) |
| \(1\) | \(1\) | \(0\) | \(1\) | \(1\) | \(\frac{ 5}{ 6}\) |
| \(1\) | \(1\) | \(0\) | \(3\) | \(1\) | \(\frac{ 7}{ 6}\) |
| \(2\) | \(2\) | \(0\) | \(4\) | \(2\) | \(\frac{ 3}{ 2}\) |
2
New Number: 5.85 | AESZ: 319 | Superseeker: -26 -14942/3 | Hash: 40a034330b9ad40ec865803f0a601932
Degree: 5
\(\theta^4+x\left(83\theta^4+436\theta^3+352\theta^2+134\theta+21\right)-2 3^{2} x^{2}\left(343\theta^4-548\theta^3-2555\theta^2-1749\theta-405\right)-2 3^{4} x^{3}\left(1973\theta^4+12528\theta^3+11329\theta^2+3861\theta+342\right)+3^{8} 5 x^{4}\left(473\theta^4+1000\theta^3+858\theta^2+358\theta+62\right)-3^{12} 5^{2} x^{5}\left((\theta+1)^4\right)\)
Maple LaTexCoefficients of the holomorphic solution: 1, -21, 891, -48027, 2920779, ... --> OEIS Normalized instanton numbers (n0=1): -26, -475/2, -14942/3, -244479/2, -3574404, ... ; Common denominator:...
\(-(81z+1)(81z^2-92z-1)(-1+45z)^2\)
| \(-\frac{ 1}{ 81}\) | \(\frac{ 46}{ 81}-\frac{ 13}{ 81}\sqrt{ 13}\) | \(0\) | \(\frac{ 1}{ 45}\) | \(\frac{ 46}{ 81}+\frac{ 13}{ 81}\sqrt{ 13}\) | \(\infty\) |
|---|---|---|---|---|---|
| \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(1\) |
| \(1\) | \(1\) | \(0\) | \(1\) | \(1\) | \(1\) |
| \(1\) | \(1\) | \(0\) | \(3\) | \(1\) | \(1\) |
| \(2\) | \(2\) | \(0\) | \(4\) | \(2\) | \(1\) |