1
New Number: 2.16 | AESZ: 65 | Superseeker: 240 19105840 | Hash: 13ba368bcbb10731ac8727b510731ff2
Degree: 2
\(\theta^4-2^{4} 3 x(6\theta+1)(6\theta+5)(3\theta^2+3\theta+1)+2^{9} 3^{2} x^{2}(6\theta+1)(6\theta+5)(6\theta+7)(6\theta+11)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 240, 277200, 457416960, 904864680720, ... --> OEIS Normalized instanton numbers (n0=1): 240, 57102, 19105840, 14810143935, 10017820614480, ... ; Common denominator:...
\((3456z-1)(1728z-1)\)
\(0\) | \(\frac{ 1}{ 3456}\) | \(\frac{ 1}{ 1728}\) | \(\infty\) |
---|---|---|---|
\(0\) | \(0\) | \(0\) | \(\frac{ 1}{ 6}\) |
\(0\) | \(1\) | \(1\) | \(\frac{ 5}{ 6}\) |
\(0\) | \(1\) | \(1\) | \(\frac{ 7}{ 6}\) |
\(0\) | \(2\) | \(2\) | \(\frac{ 11}{ 6}\) |
2
New Number: 5.10 | AESZ: 59 | Superseeker: 30/7 124 | Hash: f47563daeb0f7328bd675f13cfb84a55
Degree: 5
\(7^{2} \theta^4-2 7 x\left(257\theta^4+520\theta^3+435\theta^2+175\theta+28\right)+2^{2} x^{2}\left(13497\theta^4+55536\theta^3+81222\theta^2+50337\theta+11396\right)-2^{3} x^{3}\left(17201\theta^4+114996\theta^3+248466\theta^2+202629\theta+55412\right)-2^{4} x^{4}\left(5762\theta^4+29668\theta^3+48150\theta^2+31741\theta+7412\right)-2^{5} 3 x^{5}(4\theta+5)(3\theta+2)(3\theta+4)(4\theta+3)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 8, 144, 3680, 114400, ... --> OEIS Normalized instanton numbers (n0=1): 30/7, 129/14, 124, 72129/56, 130434/7, ... ; Common denominator:...
\(-(4z-1)(16z-1)(54z-1)(7+2z)^2\)
\(-\frac{ 7}{ 2}\) | \(0\) | \(\frac{ 1}{ 54}\) | \(\frac{ 1}{ 16}\) | \(\frac{ 1}{ 4}\) | \(\infty\) |
---|---|---|---|---|---|
\(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(\frac{ 2}{ 3}\) |
\(1\) | \(0\) | \(1\) | \(1\) | \(1\) | \(\frac{ 3}{ 4}\) |
\(3\) | \(0\) | \(1\) | \(1\) | \(1\) | \(\frac{ 5}{ 4}\) |
\(4\) | \(0\) | \(2\) | \(2\) | \(2\) | \(\frac{ 4}{ 3}\) |