1
New Number: 4.37 | AESZ: 206 | Superseeker: 4 284 | Hash: bd5dae321e1369e7fae153775f84a351
Degree: 4
\(\theta^4-2^{2} x\theta(\theta+1)(2\theta+1)^2-2^{5} x^{2}(2\theta+1)(2\theta+3)(11\theta^2+22\theta+12)-2^{4} 3 5^{2} x^{3}(2\theta+1)(2\theta+3)^2(2\theta+5)-2^{8} 19 x^{4}(2\theta+1)(2\theta+3)(2\theta+5)(2\theta+7)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 0, 72, 1200, 44520, ... --> OEIS Normalized instanton numbers (n0=1): 4, 27, 284, 4368, 80968, ... ; Common denominator:...
\(-(16z+1)(4864z^3+896z^2+32z-1)\)
| ≈\(-0.10185-0.013248I\) | ≈\(-0.10185+0.013248I\) | \(-\frac{ 1}{ 16}\) | \(0\) | \(s_1\) | \(s_3\) | \(s_2\) | ≈\(0.019489\) | \(\infty\) |
|---|---|---|---|---|---|---|---|---|
| \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(\frac{ 1}{ 2}\) |
| \(1\) | \(1\) | \(1\) | \(0\) | \(1\) | \(1\) | \(1\) | \(1\) | \(\frac{ 3}{ 2}\) |
| \(1\) | \(1\) | \(1\) | \(0\) | \(1\) | \(1\) | \(1\) | \(1\) | \(\frac{ 5}{ 2}\) |
| \(2\) | \(2\) | \(2\) | \(0\) | \(2\) | \(2\) | \(2\) | \(2\) | \(\frac{ 7}{ 2}\) |
2
New Number: 5.89 | AESZ: 329 | Superseeker: 48 25200 | Hash: 8c526b3b825d5ad6a3d0fb83ee4e6059
Degree: 5
\(\theta^4-2^{4} x\left(8\theta^4+34\theta^3+25\theta^2+8\theta+1\right)-2^{8} x^{2}\left(87\theta^4+150\theta^3+32\theta^2-2\theta-1\right)-2^{12} x^{3}\left(202\theta^4+240\theta^3+211\theta^2+102\theta+19\right)-2^{16} 3 x^{4}(2\theta+1)(22\theta^3+45\theta^2+38\theta+12)-2^{20} 3^{2} x^{5}(2\theta+1)(\theta+1)^2(2\theta+3)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 16, 1200, 136960, 19010320, ... --> OEIS Normalized instanton numbers (n0=1): 48, 270, 25200, 968066, 80892688, ... ; Common denominator:...
\(-(16384z^3+3072z^2+224z-1)(1+48z)^2\)
| ≈\(-0.095858-0.072741I\) | ≈\(-0.095858+0.072741I\) | \(-\frac{ 1}{ 48}\) | \(0\) | ≈\(0.004215\) | \(\infty\) |
|---|---|---|---|---|---|
| \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(\frac{ 1}{ 2}\) |
| \(1\) | \(1\) | \(1\) | \(0\) | \(1\) | \(1\) |
| \(1\) | \(1\) | \(3\) | \(0\) | \(1\) | \(1\) |
| \(2\) | \(2\) | \(4\) | \(0\) | \(2\) | \(\frac{ 3}{ 2}\) |