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: 8.51 | AESZ: | Superseeker: 58/43 1024/43 | Hash: 85b9064701880ae8e0518e47cff1b030
Degree: 8
\(43^{2} \theta^4-43 x\theta(142\theta^3+890\theta^2+574\theta+129)-x^{2}\left(647269\theta^4+2441818\theta^3+3538503\theta^2+2423953\theta+650848\right)-x^{3}\left(7200000\theta^4+34423908\theta^3+65337898\theta^2+57379329\theta+19251960\right)-x^{4}\left(37610765\theta^4+220029964\theta^3+499781264\theta^2+511393545\theta+194039928\right)-2 x^{5}(\theta+1)(54978121\theta^3+324737370\theta^2+665066226\theta+466789876)-x^{6}(\theta+1)(\theta+2)(185181547\theta^2+915931425\theta+1176131796)-2^{2} 3 101 x^{7}(\theta+3)(\theta+2)(\theta+1)(138979\theta+413408)-2^{2} 3^{2} 5^{2} 7 101^{2} x^{8}(\theta+1)(\theta+2)(\theta+3)(\theta+4)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 0, 22, 204, 3474, ... --> OEIS Normalized instanton numbers (n0=1): 58/43, 211/43, 1024/43, 7544/43, 64880/43, ... ; Common denominator:...
\(-(7z+1)(25z-1)(2z+1)^2(101z+43)^2(3z+1)^2\)
\(-\frac{ 1}{ 2}\) | \(-\frac{ 43}{ 101}\) | \(-\frac{ 1}{ 3}\) | \(-\frac{ 1}{ 7}\) | \(0\) | \(\frac{ 1}{ 25}\) | \(\infty\) |
---|---|---|---|---|---|---|
\(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(1\) |
\(\frac{ 1}{ 3}\) | \(1\) | \(\frac{ 1}{ 2}\) | \(1\) | \(0\) | \(1\) | \(2\) |
\(\frac{ 2}{ 3}\) | \(3\) | \(\frac{ 1}{ 2}\) | \(1\) | \(0\) | \(1\) | \(3\) |
\(1\) | \(4\) | \(1\) | \(2\) | \(0\) | \(2\) | \(4\) |