1
New Number: 3.22 | AESZ: 392 | Superseeker: 166 1016100 | Hash: 5862be5cc4d3ec1686e6b9a6ec08f7e7
Degree: 3
\(\theta^4-2 x\left(230\theta^4+496\theta^3+323\theta^2+75\theta+6\right)-2^{2} 3 x^{2}(6\theta+5)(1866\theta^3+5341\theta^2+4760\theta+1084)-2^{4} 3^{2} 13^{2} x^{3}(6\theta+5)(6\theta+11)(3\theta+1)(3\theta+7)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 12, 5760, 1664544, 681014880, ... --> OEIS Normalized instanton numbers (n0=1): 166, 8076, 1016100, 189329096, 43879949258, ... ; Common denominator:...
\(-(676z-1)(1+108z)^2\)
| \(-\frac{ 1}{ 108}\) | \(0\) | \(\frac{ 1}{ 676}\) | \(\infty\) |
|---|---|---|---|
| \(0\) | \(0\) | \(0\) | \(\frac{ 1}{ 3}\) |
| \(\frac{ 1}{ 3}\) | \(0\) | \(1\) | \(\frac{ 5}{ 6}\) |
| \(1\) | \(0\) | \(1\) | \(\frac{ 11}{ 6}\) |
| \(\frac{ 4}{ 3}\) | \(0\) | \(2\) | \(\frac{ 7}{ 3}\) |
2
New Number: 6.5 | AESZ: | Superseeker: -11 -3422/3 | Hash: 6a4aeb5833b7673c962d5598842d3f2c
Degree: 6
\(\theta^4-x\left(12+64\theta+125\theta^2+122\theta^3+61\theta^4\right)-2^{3} x^{2}\left(193\theta^4+772\theta^3+1033\theta^2+522\theta+72\right)+2^{9} 3 x^{3}\left(146\theta^4+876\theta^3+1838\theta^2+1572\theta+405\right)-2^{12} 3^{2} x^{4}\left(204\theta^4+1632\theta^3+4449\theta^2+4740\theta+1400\right)+2^{16} 3^{3} x^{5}(16\theta^2+80\theta+35)(2\theta+5)^2-2^{19} 3^{4} x^{6}(2\theta+11)(2\theta+7)(2\theta+5)(2\theta+1)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 12, 324, 5760, 215460, ... --> OEIS Normalized instanton numbers (n0=1): -11, 68, -3422/3, 30735, -1014993, ... ; Common denominator:...
\(-(24z-1)(27648z^3-1728z^2+27z+1)(-1+32z)^2\)
| ≈\(-0.016119\) | \(0\) | \(\frac{ 1}{ 32}\) | ≈\(0.03931-0.026431I\) | ≈\(0.03931+0.026431I\) | \(\frac{ 1}{ 24}\) | \(\infty\) |
|---|---|---|---|---|---|---|
| \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(\frac{ 1}{ 2}\) |
| \(1\) | \(0\) | \(\frac{ 1}{ 2}\) | \(1\) | \(1\) | \(1\) | \(\frac{ 5}{ 2}\) |
| \(1\) | \(0\) | \(\frac{ 1}{ 2}\) | \(1\) | \(1\) | \(1\) | \(\frac{ 7}{ 2}\) |
| \(2\) | \(0\) | \(1\) | \(2\) | \(2\) | \(2\) | \(\frac{ 11}{ 2}\) |