1
New Number: 4.19 | AESZ: ~66 | Superseeker: -864 -147560800 | Hash: b9b85f803521c6af3b5f7572d309f89a
Degree: 4
\(\theta^4-2^{2} 3 x\left(1440\theta^4+2880\theta^3+3434\theta^2+1994\theta+447\right)+2^{4} 3^{4} x^{2}\left(76032\theta^4+304128\theta^3+518496\theta^2+428736\theta+143785\right)-2^{15} 3^{8} x^{3}(240\theta^2+720\theta+709)(2\theta+3)^2+2^{26} 3^{10} x^{4}(2\theta+3)(2\theta+5)(3\theta+5)(3\theta+7)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 5364, 29367900, 170217457200, 1029027458497500, ... --> OEIS Normalized instanton numbers (n0=1): -864, -261684, -147560800, -120568926924, -88009904955744, ... ; Common denominator:...
\((6912z-1)^2(1728z-1)^2\)
| \(0\) | \(\frac{ 1}{ 6912}\) | \(\frac{ 1}{ 1728}\) | \(\infty\) |
|---|---|---|---|
| \(0\) | \(0\) | \(0\) | \(\frac{ 3}{ 2}\) |
| \(0\) | \(-\frac{ 1}{ 2}\) | \(-\frac{ 1}{ 2}\) | \(\frac{ 5}{ 3}\) |
| \(0\) | \(1\) | \(1\) | \(\frac{ 7}{ 3}\) |
| \(0\) | \(\frac{ 3}{ 2}\) | \(\frac{ 3}{ 2}\) | \(\frac{ 5}{ 2}\) |
2
New Number: 4.7 | AESZ: | Superseeker: -54 -40552 | Hash: ee8508b4e5567367ca11f74e074e8099
Degree: 4
\(\theta^4-2 3 x\left(180\theta^4+360\theta^3+433\theta^2+253\theta+57\right)+2^{2} 3^{4} 11 x^{2}\left(108\theta^4+432\theta^3+741\theta^2+618\theta+209\right)-2^{5} 3^{8} x^{3}(60\theta^2+180\theta+181)(2\theta+3)^2+2^{8} 3^{10} x^{4}(2\theta+3)(2\theta+5)(6\theta+11)(6\theta+13)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 342, 117990, 42901884, 16240501782, ... --> OEIS Normalized instanton numbers (n0=1): -54, -864, -40552, -2192400, -123334380, ... ; Common denominator:...
\((432z-1)^2(108z-1)^2\)
| \(0\) | \(\frac{ 1}{ 432}\) | \(\frac{ 1}{ 108}\) | \(\infty\) |
|---|---|---|---|
| \(0\) | \(0\) | \(0\) | \(\frac{ 3}{ 2}\) |
| \(0\) | \(-\frac{ 1}{ 2}\) | \(-\frac{ 1}{ 2}\) | \(\frac{ 11}{ 6}\) |
| \(0\) | \(1\) | \(1\) | \(\frac{ 13}{ 6}\) |
| \(0\) | \(\frac{ 3}{ 2}\) | \(\frac{ 3}{ 2}\) | \(\frac{ 5}{ 2}\) |