1
New Number: 6.37 | AESZ: | Superseeker: 80 249872 | Hash: 0c2998041752cbd976fcc2e18f2072ad
Degree: 6
\(\theta^4-2^{4} x\left(6\theta^4+96\theta^3+99\theta^2+51\theta+11\right)-2^{9} x^{2}\left(222\theta^4+48\theta^3-873\theta^2-897\theta-328\right)+2^{14} x^{3}\left(454\theta^4+6168\theta^3+4887\theta^2+891\theta-651\right)+2^{19} x^{4}\left(6492\theta^4+8760\theta^3-1557\theta^2-6945\theta-2438\right)-2^{28} 7 x^{5}\left(60\theta^4+336\theta^3+693\theta^2+642\theta+227\right)-2^{33} 7^{2} x^{6}\left((2\theta+3)^4\right)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 176, 35792, 7805184, 1768710928, ... --> OEIS Normalized instanton numbers (n0=1): 80, -4222, 249872, -22251117, 2195810928, ... ; Common denominator:...
\(-(32z+1)(64z-1)(224z+1)^2(256z-1)^2\)
| \(-\frac{ 1}{ 32}\) | \(-\frac{ 1}{ 224}\) | \(0\) | \(\frac{ 1}{ 256}\) | \(\frac{ 1}{ 64}\) | \(\infty\) |
|---|---|---|---|---|---|
| \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(\frac{ 3}{ 2}\) |
| \(1\) | \(1\) | \(0\) | \(-\frac{ 1}{ 2}\) | \(1\) | \(\frac{ 3}{ 2}\) |
| \(1\) | \(3\) | \(0\) | \(1\) | \(1\) | \(\frac{ 3}{ 2}\) |
| \(2\) | \(4\) | \(0\) | \(\frac{ 3}{ 2}\) | \(2\) | \(\frac{ 3}{ 2}\) |
2
New Number: 7.2 | AESZ: | Superseeker: -80 -249872 | Hash: 341389ebf4ab0242c5b70d9a8fd7a1d9
Degree: 7
\(\theta^4+2^{4} x\left(22\theta^4+64\theta^3+51\theta^2+19\theta+3\right)-2^{9} x^{2}\left(174\theta^4-624\theta^3-945\theta^2-417\theta-80\right)-2^{14} x^{3}\left(2230\theta^4+3000\theta^3-5121\theta^2-3813\theta-971\right)+2^{19} x^{4}\left(2860\theta^4-33320\theta^3+3363\theta^2+6847\theta+2402\right)+2^{27} x^{5}\left(7332\theta^4+480\theta^3+81\theta^2+1380\theta+719\right)+2^{36} 7 x^{6}(\theta+1)(46\theta^3+86\theta^2+67\theta+20)-2^{45} 7^{2} x^{7}\left((\theta+1)^4\right)\)
Maple LaTexCoefficients of the holomorphic solution: 1, -48, 5072, -733440, 124117776, ... --> OEIS Normalized instanton numbers (n0=1): -80, -4202, -249872, -22251117, -2195810928, ... ; Common denominator:...
\(-(64z+1)(32z-1)(224z-1)^2(256z+1)^3\)
| \(-\frac{ 1}{ 64}\) | \(-\frac{ 1}{ 256}\) | \(0\) | \(\frac{ 1}{ 224}\) | \(\frac{ 1}{ 32}\) | \(\infty\) |
|---|---|---|---|---|---|
| \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(1\) |
| \(1\) | \(\frac{ 1}{ 2}\) | \(0\) | \(1\) | \(1\) | \(1\) |
| \(1\) | \(\frac{ 3}{ 2}\) | \(0\) | \(3\) | \(1\) | \(1\) |
| \(2\) | \(2\) | \(0\) | \(4\) | \(2\) | \(1\) |