1
New Number: 3.33 | AESZ: | Superseeker: 4 1580/9 | Hash: da01a7b2dfcebe6e332be6c29ed2a8e5
Degree: 3
\(\theta^4+2^{2} x\left(36\theta^4+72\theta^3+85\theta^2+49\theta+11\right)+2^{4} x^{2}(8\theta^2+16\theta+11)(48\theta^2+96\theta+49)+2^{8} x^{3}(4\theta+7)^2(4\theta+5)^2\)
Maple LaTexCoefficients of the holomorphic solution: 1, -44, 2244, -122576, 6952516, ... --> OEIS Normalized instanton numbers (n0=1): 4, -25, 1580/9, -1580, 17120, ... ; Common denominator:...
\((16z+1)(1+64z)^2\)
| \(-\frac{ 1}{ 16}\) | \(-\frac{ 1}{ 64}\) | \(0\) | \(\infty\) |
|---|---|---|---|
| \(0\) | \(0\) | \(0\) | \(\frac{ 5}{ 4}\) |
| \(1\) | \(-\frac{ 1}{ 2}\) | \(0\) | \(\frac{ 5}{ 4}\) |
| \(1\) | \(1\) | \(0\) | \(\frac{ 7}{ 4}\) |
| \(2\) | \(\frac{ 3}{ 2}\) | \(0\) | \(\frac{ 7}{ 4}\) |
2
New Number: 4.71 | AESZ: 353 | Superseeker: -4 -1580/9 | Hash: 33845d8200fe810109063e352fbfc8b1
Degree: 4
\(\theta^4-2^{2} x\left(52\theta^4+40\theta^3+37\theta^2+17\theta+3\right)+2^{4} x^{2}\left(960\theta^4+1536\theta^3+1512\theta^2+688\theta+123\right)-2^{8} x^{3}\left(1792\theta^4+4608\theta^3+5184\theta^2+2816\theta+597\right)+2^{14} x^{4}(4\theta+5)^2(4\theta+3)^2\)
Maple LaTexCoefficients of the holomorphic solution: 1, 12, 324, 11856, 504900, ... --> OEIS Normalized instanton numbers (n0=1): -4, -24, -1580/9, -1580, -17120, ... ; Common denominator:...
\((16z-1)(64z-1)^3\)
| \(0\) | \(\frac{ 1}{ 64}\) | \(\frac{ 1}{ 16}\) | \(\infty\) |
|---|---|---|---|
| \(0\) | \(0\) | \(0\) | \(\frac{ 3}{ 4}\) |
| \(0\) | \(\frac{ 1}{ 2}\) | \(1\) | \(\frac{ 3}{ 4}\) |
| \(0\) | \(\frac{ 3}{ 2}\) | \(1\) | \(\frac{ 5}{ 4}\) |
| \(0\) | \(2\) | \(2\) | \(\frac{ 5}{ 4}\) |