1
New Number: 2.62 | AESZ: 28 | Superseeker: 5 312 | Hash: 06dd455cafc5097e4f671d385984c1a2
Degree: 2
\(\theta^4-x\left(65\theta^4+130\theta^3+105\theta^2+40\theta+6\right)+2^{2} x^{2}(4\theta+3)(\theta+1)^2(4\theta+5)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 6, 126, 3948, 149310, ... --> OEIS Normalized instanton numbers (n0=1): 5, 28, 312, 4808, 91048, ... ; Common denominator:...
\((64z-1)(z-1)\)
| \(0\) | \(\frac{ 1}{ 64}\) | \(1\) | \(\infty\) |
|---|---|---|---|
| \(0\) | \(0\) | \(0\) | \(\frac{ 3}{ 4}\) |
| \(0\) | \(1\) | \(1\) | \(1\) |
| \(0\) | \(1\) | \(1\) | \(1\) |
| \(0\) | \(2\) | \(2\) | \(\frac{ 5}{ 4}\) |
2
New Number: 5.34 | AESZ: 217 | Superseeker: 17/7 5095/21 | Hash: e8743aeac19deca699ff90aaef6b8ea7
Degree: 5
\(7^{2} \theta^4+7 x\theta(-14-73\theta-118\theta^2+13\theta^3)-2^{3} 3 x^{2}\left(3378\theta^4+13446\theta^3+18869\theta^2+11158\theta+2352\right)-2^{4} 3^{3} x^{3}\left(3628\theta^4+17920\theta^3+31668\theta^2+22596\theta+5383\right)-2^{8} 3^{3} x^{4}(2\theta+1)(572\theta^3+2370\theta^2+2896\theta+1095)-2^{10} 3^{4} x^{5}(2\theta+1)(6\theta+5)(6\theta+7)(2\theta+3)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 0, 72, 720, 37800, ... --> OEIS Normalized instanton numbers (n0=1): 17/7, 254/7, 5095/21, 29600/7, 491991/7, ... ; Common denominator:...
\(-(16z+1)(27z+1)(48z-1)(7+24z)^2\)
| \(-\frac{ 7}{ 24}\) | \(-\frac{ 1}{ 16}\) | \(-\frac{ 1}{ 27}\) | \(0\) | \(\frac{ 1}{ 48}\) | \(\infty\) |
|---|---|---|---|---|---|
| \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(\frac{ 1}{ 2}\) |
| \(1\) | \(1\) | \(1\) | \(0\) | \(1\) | \(\frac{ 5}{ 6}\) |
| \(3\) | \(1\) | \(1\) | \(0\) | \(1\) | \(\frac{ 7}{ 6}\) |
| \(4\) | \(2\) | \(2\) | \(0\) | \(2\) | \(\frac{ 3}{ 2}\) |