1
New Number: 3.10 | AESZ: ~103 | Superseeker: 10 664 | Hash: 9239615e8ac132ca232c13367a39ae3b
Degree: 3
\(\theta^4-2 x\left(86\theta^4+172\theta^3+143\theta^2+57\theta+9\right)+2^{2} 3^{2} x^{2}(\theta+1)^2(236\theta^2+472\theta+187)-2^{4} 3^{4} 5^{2} x^{3}(\theta+1)(\theta+2)(2\theta+1)(2\theta+5)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 18, 630, 28980, 1593270, ... --> OEIS Normalized instanton numbers (n0=1): 10, 24, 664, 9088, 234388, ... ; Common denominator:...
\(-(100z-1)(-1+36z)^2\)
\(0\) | \(\frac{ 1}{ 100}\) | \(\frac{ 1}{ 36}\) | \(\infty\) |
---|---|---|---|
\(0\) | \(0\) | \(0\) | \(\frac{ 1}{ 2}\) |
\(0\) | \(1\) | \(\frac{ 1}{ 2}\) | \(1\) |
\(0\) | \(1\) | \(\frac{ 1}{ 2}\) | \(2\) |
\(0\) | \(2\) | \(1\) | \(\frac{ 5}{ 2}\) |
2
New Number: 8.12 | AESZ: 175 | Superseeker: 17 1387 | Hash: f6db11b5e593983f455489d5bb1003c5
Degree: 8
\(\theta^4-x(10\theta^2+10\theta+3)(17\theta^2+17\theta+6)+3^{4} x^{2}\left(89\theta^4+452\theta^3+633\theta^2+362\theta+80\right)+2^{3} 3^{4} x^{3}\left(170\theta^4-1020\theta^3-3119\theta^2-2373\theta-648\right)-2^{4} 3^{8} x^{4}\left(97\theta^4+194\theta^3-238\theta^2-335\theta-114\right)+2^{6} 3^{8} x^{5}\left(170\theta^4+1700\theta^3+961\theta^2-125\theta-204\right)+2^{6} 3^{12} x^{6}\left(89\theta^4-96\theta^3-189\theta^2-96\theta-12\right)-2^{9} 3^{12} x^{7}(10\theta^2+10\theta+3)(17\theta^2+17\theta+6)+2^{12} 3^{16} x^{8}\left((\theta+1)^4\right)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 18, 630, 29016, 1529766, ... --> OEIS Normalized instanton numbers (n0=1): 17, -299/4, 1387, -47623/2, 500282, ... ; Common denominator:...
\((81z-1)(8z-1)(72z-1)(9z-1)(-1+648z^2)^2\)
\(-\frac{ 1}{ 36}\sqrt{ 2}\) | \(0\) | \(\frac{ 1}{ 81}\) | \(\frac{ 1}{ 72}\) | \(\frac{ 1}{ 36}\sqrt{ 2}\) | \(\frac{ 1}{ 9}\) | \(\frac{ 1}{ 8}\) | \(\infty\) |
---|---|---|---|---|---|---|---|
\(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(1\) |
\(1\) | \(0\) | \(1\) | \(1\) | \(1\) | \(1\) | \(1\) | \(1\) |
\(3\) | \(0\) | \(1\) | \(1\) | \(3\) | \(1\) | \(1\) | \(1\) |
\(4\) | \(0\) | \(2\) | \(2\) | \(4\) | \(2\) | \(2\) | \(1\) |