1
New Number: 2.62 | AESZ: 28 | Superseeker: 5 312 | Hash: 06dd455cafc5097e4f671d385984c1a2
Degree: 2
\(\theta^4-x\left(65\theta^4+130\theta^3+105\theta^2+40\theta+6\right)+2^{2} x^{2}(4\theta+3)(\theta+1)^2(4\theta+5)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 6, 126, 3948, 149310, ... --> OEIS Normalized instanton numbers (n0=1): 5, 28, 312, 4808, 91048, ... ; Common denominator:...
\((64z-1)(z-1)\)
\(0\) | \(\frac{ 1}{ 64}\) | \(1\) | \(\infty\) |
---|---|---|---|
\(0\) | \(0\) | \(0\) | \(\frac{ 3}{ 4}\) |
\(0\) | \(1\) | \(1\) | \(1\) |
\(0\) | \(1\) | \(1\) | \(1\) |
\(0\) | \(2\) | \(2\) | \(\frac{ 5}{ 4}\) |
2
New Number: 2.64 | AESZ: 182 | Superseeker: 1 7 | Hash: 89ba4729efa82413b33fe6928ff8d2c9
Degree: 2
\(\theta^4-x\left(43\theta^4+86\theta^3+77\theta^2+34\theta+6\right)+2^{2} 3 x^{2}(\theta+1)^2(6\theta+5)(6\theta+7)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 6, 66, 924, 14850, ... --> OEIS Normalized instanton numbers (n0=1): 1, 7/4, 7, 40, 270, ... ; Common denominator:...
\((27z-1)(16z-1)\)
\(0\) | \(\frac{ 1}{ 27}\) | \(\frac{ 1}{ 16}\) | \(\infty\) |
---|---|---|---|
\(0\) | \(0\) | \(0\) | \(\frac{ 5}{ 6}\) |
\(0\) | \(1\) | \(1\) | \(1\) |
\(0\) | \(1\) | \(1\) | \(1\) |
\(0\) | \(2\) | \(2\) | \(\frac{ 7}{ 6}\) |
3
New Number: 5.82 | AESZ: 313 | Superseeker: 45 43531 | Hash: f8bfe82988e14680bdb775a3ce956216
Degree: 5
\(\theta^4-x(\theta+1)(285\theta^3+321\theta^2+128\theta+18)-2 x^{2}\left(1640\theta^4+1322\theta^3-1337\theta^2-1178\theta-240\right)-2^{2} 3^{2} x^{3}\left(213\theta^4-256\theta^3-286\theta^2-80\theta-5\right)+2^{3} 3^{3} x^{4}(2\theta+1)(22\theta^3+37\theta^2+24\theta+6)+2^{4} 3^{3} x^{5}(2\theta+1)(\theta+1)^2(2\theta+3)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 18, 1662, 236340, 40943070, ... --> OEIS Normalized instanton numbers (n0=1): 45, 845, 43531, 3091112, 273471538, ... ; Common denominator:...
\((z-1)(48z^2+296z-1)(6z+1)^2\)
\(-\frac{ 37}{ 12}-\frac{ 7}{ 6}\sqrt{ 7}\) | \(-\frac{ 1}{ 6}\) | \(0\) | \(-\frac{ 37}{ 12}+\frac{ 7}{ 6}\sqrt{ 7}\) | \(1\) | \(\infty\) |
---|---|---|---|---|---|
\(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(\frac{ 1}{ 2}\) |
\(1\) | \(1\) | \(0\) | \(1\) | \(1\) | \(1\) |
\(1\) | \(3\) | \(0\) | \(1\) | \(1\) | \(1\) |
\(2\) | \(4\) | \(0\) | \(2\) | \(2\) | \(\frac{ 3}{ 2}\) |