1
New Number: 4.70 | AESZ: | Superseeker: 177184 45194569320864 | Hash: 56776b8a011d3f76a664ac5c7f492c1a
Degree: 4
\(\theta^4+2^{4} x\left(22256\theta^4-38432\theta^3-23000\theta^2-3784\theta-321\right)+2^{18} 3^{3} x^{2}\left(1712\theta^4-18448\theta^3+8648\theta^2+2220\theta+279\right)-2^{30} 3^{6} x^{3}\left(4624\theta^4-2304\theta^3-1672\theta^2-576\theta-63\right)+2^{46} 3^{10} x^{4}\left((2\theta+1)^4\right)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 5136, 98870544, 2900370796800, 105956691416931600, ... --> OEIS Normalized instanton numbers (n0=1): 177184, -1960034336, 45194569320864, -1351787074724461344, 47485667264376266736480, ... ; Common denominator:...
\((65536z-1)(20736z-1)(1+221184z)^2\)
| \(-\frac{ 1}{ 221184}\) | \(0\) | \(\frac{ 1}{ 65536}\) | \(\frac{ 1}{ 20736}\) | \(\infty\) |
|---|---|---|---|---|
| \(0\) | \(0\) | \(0\) | \(0\) | \(\frac{ 1}{ 2}\) |
| \(1\) | \(0\) | \(1\) | \(1\) | \(\frac{ 1}{ 2}\) |
| \(3\) | \(0\) | \(1\) | \(1\) | \(\frac{ 1}{ 2}\) |
| \(4\) | \(0\) | \(2\) | \(2\) | \(\frac{ 1}{ 2}\) |
2
New Number: 5.133 | AESZ: | Superseeker: 192 1016256 | Hash: 0f3cb34d2bc462fbc58cdf15040595d1
Degree: 5
\(\theta^4+2^{4} x\left(24\theta^4-96\theta^3-70\theta^2-22\theta-3\right)-2^{10} x^{2}\left(124\theta^4+496\theta^3-271\theta^2-202\theta-45\right)-2^{17} 3^{2} x^{3}\left(32\theta^4-56\theta^3-66\theta^2-31\theta-5\right)+2^{24} 3^{3} x^{4}(\theta+1)(2\theta+1)(6\theta^2+11\theta+6)+2^{32} 3^{3} x^{5}(2\theta+1)(\theta+1)^2(2\theta+3)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 48, 5136, 710400, 112104720, ... --> OEIS Normalized instanton numbers (n0=1): 192, -9940, 1016256, -134713756, 20854352960, ... ; Common denominator:...
\((256z-1)(64z+1)(192z-1)(1+384z)^2\)
| \(-\frac{ 1}{ 64}\) | \(-\frac{ 1}{ 384}\) | \(0\) | \(\frac{ 1}{ 256}\) | \(\frac{ 1}{ 192}\) | \(\infty\) |
|---|---|---|---|---|---|
| \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(\frac{ 1}{ 2}\) |
| \(1\) | \(1\) | \(0\) | \(1\) | \(1\) | \(1\) |
| \(1\) | \(3\) | \(0\) | \(1\) | \(1\) | \(1\) |
| \(2\) | \(4\) | \(0\) | \(2\) | \(2\) | \(\frac{ 3}{ 2}\) |