1
New Number: 2.7 | AESZ: 51 | Superseeker: 92 585396 | Hash: e09b9b149b6845daa8d5ef03df33f22d
Degree: 2
\(\theta^4-2^{2} x(4\theta+1)(4\theta+3)(11\theta^2+11\theta+3)-2^{4} x^{2}(4\theta+1)(4\theta+3)(4\theta+5)(4\theta+7)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 36, 7980, 2716560, 1127025900, ... --> OEIS Normalized instanton numbers (n0=1): 92, 5052, 585396, 99982012, 21054159152, ... ; Common denominator:...
\(1-704z-4096z^2\)
\(-\frac{ 11}{ 128}-\frac{ 5}{ 128}\sqrt{ 5}\) | \(0\) | \(-\frac{ 11}{ 128}+\frac{ 5}{ 128}\sqrt{ 5}\) | \(\infty\) |
---|---|---|---|
\(0\) | \(0\) | \(0\) | \(\frac{ 1}{ 4}\) |
\(1\) | \(0\) | \(1\) | \(\frac{ 3}{ 4}\) |
\(1\) | \(0\) | \(1\) | \(\frac{ 5}{ 4}\) |
\(2\) | \(0\) | \(2\) | \(\frac{ 7}{ 4}\) |
2
New Number: 5.5 | AESZ: 22 | Superseeker: 10/7 295/7 | Hash: 5b96eae0872756be1130d4b12ffe60a6
Degree: 5
\(7^{2} \theta^4-7 x\left(155\theta^4+286\theta^3+234\theta^2+91\theta+14\right)-x^{2}\left(16105\theta^4+68044\theta^3+102261\theta^2+66094\theta+15736\right)+2^{3} x^{3}\left(2625\theta^4+8589\theta^3+9071\theta^2+3759\theta+476\right)-2^{4} x^{4}\left(465\theta^4+1266\theta^3+1439\theta^2+806\theta+184\right)+2^{9} x^{5}\left((\theta+1)^4\right)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 2, 34, 488, 9826, ... --> OEIS Normalized instanton numbers (n0=1): 10/7, 65/7, 295/7, 3065/7, 4245, ... ; Common denominator:...
\((32z-1)(z^2-11z-1)(4z-7)^2\)
\(\frac{ 11}{ 2}-\frac{ 5}{ 2}\sqrt{ 5}\) | \(0\) | \(\frac{ 1}{ 32}\) | \(\frac{ 7}{ 4}\) | \(\frac{ 11}{ 2}+\frac{ 5}{ 2}\sqrt{ 5}\) | \(\infty\) |
---|---|---|---|---|---|
\(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(1\) |
\(1\) | \(0\) | \(1\) | \(1\) | \(1\) | \(1\) |
\(1\) | \(0\) | \(1\) | \(3\) | \(1\) | \(1\) |
\(2\) | \(0\) | \(2\) | \(4\) | \(2\) | \(1\) |
3
New Number: 1.1 | AESZ: 1 | Superseeker: 575 63441275 | Hash: c86f1c284d8c5119801c6ba1343172bb
Degree: 1
\(\theta^4-5 x(5\theta+1)(5\theta+2)(5\theta+3)(5\theta+4)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 120, 113400, 168168000, 305540235000, ... --> OEIS Normalized instanton numbers (n0=1): 575, 121850, 63441275, 48493506000, 45861177777525, ... ; Common denominator:...
\(1-3125z\)
\(0\) | \(\frac{ 1}{ 3125}\) | \(\infty\) |
---|---|---|
\(0\) | \(0\) | \(\frac{ 1}{ 5}\) |
\(0\) | \(1\) | \(\frac{ 2}{ 5}\) |
\(0\) | \(1\) | \(\frac{ 3}{ 5}\) |
\(0\) | \(2\) | \(\frac{ 4}{ 5}\) |