1
New Number: 3.26 | AESZ: 407 | Superseeker: 2 440 | Hash: c46d32ba4b3738ba34fe1e6c16e6f242
Degree: 3
\(\theta^4+2 x\left(132\theta^4+264\theta^3+293\theta^2+161\theta+35\right)+2^{2} 5^{2} x^{2}(\theta+1)^2(228\theta^2+456\theta+335)+2^{6} 5^{4} x^{3}(\theta+1)(\theta+2)(4\theta+5)(4\theta+7)\)
Maple LaTexCoefficients of the holomorphic solution: 1, -70, 5650, -484900, 43071250, ... --> OEIS Normalized instanton numbers (n0=1): 2, -44, 440, -4844, 46268, ... ; Common denominator:...
\((64z+1)(1+100z)^2\)
| \(-\frac{ 1}{ 64}\) | \(-\frac{ 1}{ 100}\) | \(0\) | \(\infty\) |
|---|---|---|---|
| \(0\) | \(0\) | \(0\) | \(1\) |
| \(1\) | \(-\frac{ 1}{ 2}\) | \(0\) | \(\frac{ 5}{ 4}\) |
| \(1\) | \(1\) | \(0\) | \(\frac{ 7}{ 4}\) |
| \(2\) | \(\frac{ 3}{ 2}\) | \(0\) | \(2\) |
2
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:...
\(-(5z+1)(27z-1)(15z+43)^2(z+1)^2\)
| \(-\frac{ 43}{ 15}\) | \(-1\) | \(-\frac{ 1}{ 5}\) | \(0\) | \(\frac{ 1}{ 27}\) | \(\infty\) |
|---|---|---|---|---|---|
| \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(1\) |
| \(1\) | \(\frac{ 1}{ 2}\) | \(1\) | \(0\) | \(1\) | \(\frac{ 4}{ 3}\) |
| \(3\) | \(\frac{ 1}{ 2}\) | \(1\) | \(0\) | \(1\) | \(\frac{ 5}{ 3}\) |
| \(4\) | \(1\) | \(2\) | \(0\) | \(2\) | \(2\) |