1
New Number: 5.40 | AESZ: 226 | Superseeker: 62/5 4060/3 | Hash: 92f95cd33ac4bf18c2d05ce3040c5203
Degree: 5
\(5^{2} \theta^4-2 5 x\left(328\theta^4+692\theta^3+551\theta^2+205\theta+30\right)+2^{2} 3 x^{2}\left(5352\theta^4+25416\theta^3+38387\theta^2+23020\theta+4860\right)-2^{4} 3^{3} x^{3}\left(352\theta^4+4520\theta^3+12108\theta^2+10205\theta+2630\right)-2^{6} 3^{3} x^{4}(2\theta+1)(586\theta^3+3039\theta^2+3947\theta+1527)-2^{8} 3^{4} x^{5}(2\theta+1)(6\theta+5)(6\theta+7)(2\theta+3)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 12, 396, 19920, 1241100, ... --> OEIS Normalized instanton numbers (n0=1): 62/5, 55, 4060/3, 28790, 861786, ... ; Common denominator:...
\(-(16z-1)(108z-1)(12z-1)(5+12z)^2\)
| \(-\frac{ 5}{ 12}\) | \(0\) | \(\frac{ 1}{ 108}\) | \(\frac{ 1}{ 16}\) | \(\frac{ 1}{ 12}\) | \(\infty\) |
|---|---|---|---|---|---|
| \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(\frac{ 1}{ 2}\) |
| \(1\) | \(0\) | \(1\) | \(1\) | \(1\) | \(\frac{ 5}{ 6}\) |
| \(3\) | \(0\) | \(1\) | \(1\) | \(1\) | \(\frac{ 7}{ 6}\) |
| \(4\) | \(0\) | \(2\) | \(2\) | \(2\) | \(\frac{ 3}{ 2}\) |
2
New Number: 5.84 | AESZ: 318 | Superseeker: 46/5 1126 | Hash: 3fa38f629ecd5f39b585ce0c1bd88463
Degree: 5
\(5^{2} \theta^4-5 x\left(473\theta^4+892\theta^3+696\theta^2+250\theta+35\right)+2 x^{2}\left(1973\theta^4-4636\theta^3-14417\theta^2-10895\theta-2745\right)+2 3^{2} x^{3}\left(343\theta^4+1920\theta^3+1147\theta^2-345\theta-320\right)-3^{4} x^{4}\left(83\theta^4-104\theta^3-458\theta^2-406\theta-114\right)-3^{8} x^{5}\left((\theta+1)^4\right)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 7, 219, 9961, 546379, ... --> OEIS Normalized instanton numbers (n0=1): 46/5, 717/10, 1126, 51481/2, 3609772/5, ... ; Common denominator:...
\(-(z+1)(81z^2+92z-1)(-5+9z)^2\)
| \(-\frac{ 46}{ 81}-\frac{ 13}{ 81}\sqrt{ 13}\) | \(-1\) | \(0\) | \(-\frac{ 46}{ 81}+\frac{ 13}{ 81}\sqrt{ 13}\) | \(\frac{ 5}{ 9}\) | \(\infty\) |
|---|---|---|---|---|---|
| \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(1\) |
| \(1\) | \(1\) | \(0\) | \(1\) | \(1\) | \(1\) |
| \(1\) | \(1\) | \(0\) | \(1\) | \(3\) | \(1\) |
| \(2\) | \(2\) | \(0\) | \(2\) | \(4\) | \(1\) |