1
New Number: 4.26 | AESZ: 60 | Superseeker: -10 -870 | Hash: 033b6632bf7cbbfe2a70e1f1eee4bf04
Degree: 4
\(\theta^4-x\left(248\theta^4+496\theta^3+604\theta^2+356\theta+81\right)+x^{2}\left(18832\theta^4+75328\theta^3+126798\theta^2+102940\theta+33889\right)-2^{3} 3 x^{3}\left(17856\theta^4+107136\theta^3+256985\theta^2+288843\theta+126617\right)+3^{2} x^{4}(24\theta+41)(24\theta+47)(24\theta+49)(24\theta+55)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 81, 13837/2, 1263327/2, 480917043/8, ... --> OEIS Normalized instanton numbers (n0=1): -10, -65, -870, -13905, -248910, ... ; Common denominator:...
\((108z-1)^2(16z-1)^2\)
| \(0\) | \(\frac{ 1}{ 108}\) | \(\frac{ 1}{ 16}\) | \(\infty\) |
|---|---|---|---|
| \(0\) | \(0\) | \(0\) | \(\frac{ 41}{ 24}\) |
| \(0\) | \(-\frac{ 1}{ 2}\) | \(-\frac{ 1}{ 2}\) | \(\frac{ 47}{ 24}\) |
| \(0\) | \(1\) | \(1\) | \(\frac{ 49}{ 24}\) |
| \(0\) | \(\frac{ 3}{ 2}\) | \(\frac{ 3}{ 2}\) | \(\frac{ 55}{ 24}\) |
2
New Number: 5.69 | AESZ: 280 | Superseeker: -117 -844872 | Hash: 5083c4e9f432302302c564ba554e3bcd
Degree: 5
\(\theta^4-3^{2} x\left(123\theta^4-60\theta^3-39\theta^2-9\theta-1\right)+3^{5} x^{2}\left(1521\theta^4-1260\theta^3+30\theta^2-21\theta-10\right)-3^{8} x^{3}\left(4110\theta^4-5634\theta^3-4353\theta^2-1629\theta-220\right)-3^{12} 17 x^{4}\left(286\theta^4+410\theta^3+170\theta^2-35\theta-30\right)-3^{18} 17^{2} x^{5}\left((\theta+1)^4\right)\)
Maple LaTexCoefficients of the holomorphic solution: 1, -9, 81, 1017, -93231, ... --> OEIS Normalized instanton numbers (n0=1): -117, -28899/4, -844872, -131189436, -23932952667, ... ; Common denominator:...
\(-(531441z^3+14580z^2+189z-1)(-1+459z)^2\)
| ≈\(-0.015682-0.015263I\) | ≈\(-0.015682+0.015263I\) | \(0\) | \(\frac{ 1}{ 459}\) | ≈\(0.003929\) | \(\infty\) |
|---|---|---|---|---|---|
| \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(1\) |
| \(1\) | \(1\) | \(0\) | \(1\) | \(1\) | \(1\) |
| \(1\) | \(1\) | \(0\) | \(3\) | \(1\) | \(1\) |
| \(2\) | \(2\) | \(0\) | \(4\) | \(2\) | \(1\) |