1
New Number: 3.1 | AESZ: 34 | Superseeker: 1 28/3 | Hash: e5461c5f5ae4d929328f66b8955a31f5
Degree: 3
\(\theta^4-x\left(35\theta^4+70\theta^3+63\theta^2+28\theta+5\right)+x^{2}(\theta+1)^2(259\theta^2+518\theta+285)-3^{2} 5^{2} x^{3}(\theta+1)^2(\theta+2)^2\)
Maple LaTexCoefficients of the holomorphic solution: 1, 5, 45, 545, 7885, ... --> OEIS Normalized instanton numbers (n0=1): 1, 2, 28/3, 52, 350, ... ; Common denominator:...
\(-(z-1)(25z-1)(9z-1)\)
| \(0\) | \(\frac{ 1}{ 25}\) | \(\frac{ 1}{ 9}\) | \(1\) | \(\infty\) |
|---|---|---|---|---|
| \(0\) | \(0\) | \(0\) | \(0\) | \(1\) |
| \(0\) | \(1\) | \(1\) | \(1\) | \(1\) |
| \(0\) | \(1\) | \(1\) | \(1\) | \(2\) |
| \(0\) | \(2\) | \(2\) | \(2\) | \(2\) |
2
New Number: 5.36 | AESZ: 219 | Superseeker: 166/5 360988/15 | Hash: b7068bb339f61ebd7c591b7be3fe5893
Degree: 5
\(5^{2} \theta^4-2 5 x\left(464\theta^4+1036\theta^3+763\theta^2+245\theta+30\right)-2^{2} 3^{2} x^{2}\left(7064\theta^4+22472\theta^3+26699\theta^2+13200\theta+2340\right)-2^{4} 3^{4} x^{3}\left(3440\theta^4+13320\theta^3+18784\theta^2+10665\theta+2070\right)-2^{6} 3^{8} x^{4}(19\theta^2+59\theta+45)(2\theta+1)^2-2^{8} 3^{9} x^{5}(2\theta+1)^2(2\theta+3)^2\)
Maple LaTexCoefficients of the holomorphic solution: 1, 12, 972, 109200, 14949900, ... --> OEIS Normalized instanton numbers (n0=1): 166/5, 638, 360988/15, 7222128/5, 524377242/5, ... ; Common denominator:...
\(-(16z+1)(3888z^2+216z-1)(5+36z)^2\)
| \(-\frac{ 5}{ 36}\) | \(-\frac{ 1}{ 16}\) | \(-\frac{ 1}{ 36}-\frac{ 1}{ 54}\sqrt{ 3}\) | \(0\) | \(-\frac{ 1}{ 36}+\frac{ 1}{ 54}\sqrt{ 3}\) | \(\infty\) |
|---|---|---|---|---|---|
| \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(\frac{ 1}{ 2}\) |
| \(1\) | \(1\) | \(1\) | \(0\) | \(1\) | \(\frac{ 1}{ 2}\) |
| \(3\) | \(1\) | \(1\) | \(0\) | \(1\) | \(\frac{ 3}{ 2}\) |
| \(4\) | \(2\) | \(2\) | \(0\) | \(2\) | \(\frac{ 3}{ 2}\) |