1
New Number: 6.26 | AESZ: | Superseeker: 58/43 1024/43 | Hash: 38ef7a13fad0ecbb53ba25dafe26b113
Degree: 6
\(43^{2} \theta^4-43 x\left(830\theta^4+1750\theta^3+1434\theta^2+559\theta+86\right)-x^{2}\left(1342738\theta^3+368510+1383525\theta+354697\theta^4+2007703\theta^2\right)-x^{3}\left(2348230+6951423\theta+774028\theta^4+3928308\theta^3+7763518\theta^2\right)-3 5 x^{4}\left(44423\theta^4+264028\theta^3+597368\theta^2+599643\theta+221430\right)-2 3^{2} 5^{2} x^{5}(\theta+2)(\theta+1)(533\theta^2+1694\theta+1290)-3^{3} 5^{3} x^{6}(3\theta+5)(3\theta+4)(\theta+2)(\theta+1)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 2, 26, 344, 5650, ... --> OEIS Normalized instanton numbers (n0=1): 58/43, 211/43, 1024/43, 7544/43, 64880/43, ... ; Common denominator:...
\(-(5z+1)(27z-1)(15z+43)^2(z+1)^2\)
| \(-\frac{ 43}{ 15}\) | \(-1\) | \(-\frac{ 1}{ 5}\) | \(0\) | \(\frac{ 1}{ 27}\) | \(\infty\) |
|---|---|---|---|---|---|
| \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(1\) |
| \(1\) | \(\frac{ 1}{ 2}\) | \(1\) | \(0\) | \(1\) | \(\frac{ 4}{ 3}\) |
| \(3\) | \(\frac{ 1}{ 2}\) | \(1\) | \(0\) | \(1\) | \(\frac{ 5}{ 3}\) |
| \(4\) | \(1\) | \(2\) | \(0\) | \(2\) | \(2\) |
2
New Number: 9.6 | AESZ: | Superseeker: 95/102 1421/102 | Hash: 04982735f3d6178049251771352a0277
Degree: 9
\(2^{2} 3^{2} 17^{2} \theta^4-2 3 17 x\left(1238\theta^4+2434\theta^3+1931\theta^2+714\theta+102\right)-x^{2}\left(1905719\theta^4+7435898\theta^3+11481377\theta^2+8054838\theta+2175150\right)-x^{3}\left(65375064\theta+31069026\theta^3+4568070\theta^4+22153074+70031651\theta^2\right)+x^{4}\left(4512344\theta^4-46914039-80101802\theta^2-111691663\theta-9395414\theta^3\right)+x^{5}\left(36577126+121266438\theta^3+23432568\theta^4+137186363\theta+194777323\theta^2\right)+x^{6}\left(69502656\theta^3-1312570+57037497\theta+121320734\theta^2+4255715\theta^4\right)-3 13 x^{7}\left(877789\theta^4+3969932\theta^3+7763293\theta^2+7084011\theta+2438016\right)-3^{2} 5 13^{2} x^{8}(\theta+1)(1514\theta^3+4164\theta^2+3373\theta+681)+3^{3} 5^{2} 13^{3} x^{9}(3\theta+5)(3\theta+4)(\theta+2)(\theta+1)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 1, 17, 163, 2233, ... --> OEIS Normalized instanton numbers (n0=1): 95/102, 58/17, 1421/102, 1451/17, 31474/51, ... ; Common denominator:...
\((1-12z-181z^2-510z^3-328z^4+351z^5)(-102+7z+195z^2)^2\)
| \(-\frac{ 7}{ 390}-\frac{ 1}{ 390}\sqrt{ 79609}\) | \(0\) | \(-\frac{ 7}{ 390}+\frac{ 1}{ 390}\sqrt{ 79609}\) | \(#ND+#NDI\) | \(\infty\) |
|---|---|---|---|---|
| \(0\) | \(0\) | \(0\) | \(0\) | \(1\) |
| \(1\) | \(0\) | \(1\) | \(1\) | \(\frac{ 4}{ 3}\) |
| \(3\) | \(0\) | \(3\) | \(1\) | \(\frac{ 5}{ 3}\) |
| \(4\) | \(0\) | \(4\) | \(2\) | \(2\) |