1
New Number: 3.11 | AESZ: | Superseeker: 37 15270 | Hash: e7db0935aa1b331d8fb696a009d2d7bb
Degree: 3
\(\theta^4-x\left(865\theta^4+1730\theta^3+1501\theta^2+636\theta+108\right)+2^{5} 3^{2} x^{2}(\theta+1)^2(866\theta^2+1732\theta+709)-2^{8} 3^{4} 17^{2} x^{3}(\theta+1)(\theta+2)(2\theta+1)(2\theta+5)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 108, 19908, 4278240, 990152100, ... --> OEIS Normalized instanton numbers (n0=1): 37, -570, 15270, -529994, 21300463, ... ; Common denominator:...
\(-(289z-1)(-1+288z)^2\)
| \(0\) | \(\frac{ 1}{ 289}\) | \(\frac{ 1}{ 288}\) | \(\infty\) |
|---|---|---|---|
| \(0\) | \(0\) | \(0\) | \(\frac{ 1}{ 2}\) |
| \(0\) | \(1\) | \(\frac{ 1}{ 2}\) | \(1\) |
| \(0\) | \(1\) | \(\frac{ 1}{ 2}\) | \(2\) |
| \(0\) | \(2\) | \(1\) | \(\frac{ 5}{ 2}\) |
2
New Number: 5.1 | AESZ: 17 | Superseeker: 6/5 118/5 | Hash: 370d10edbf5900002f79cf6163e106a5
Degree: 5
\(5^{2} \theta^4-3 5 x\left(51\theta^4+84\theta^3+72\theta^2+30\theta+5\right)+2 3 x^{2}\left(531\theta^4+828\theta^3+541\theta^2+155\theta+15\right)-2 3^{3} x^{3}\left(423\theta^4+2160\theta^3+4399\theta^2+3795\theta+1170\right)+3^{5} x^{4}\left(279\theta^4+1368\theta^3+2270\theta^2+1586\theta+402\right)-3^{10} x^{5}\left((\theta+1)^4\right)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 3, 27, 381, 6219, ... --> OEIS Normalized instanton numbers (n0=1): 6/5, 39/10, 118/5, 1443/10, 6108/5, ... ; Common denominator:...
\(-(27z-1)(27z^2+1)(-5+9z)^2\)
| \(0-\frac{ 1}{ 9}\sqrt{ 3}I\) | \(0\) | \(0+\frac{ 1}{ 9}\sqrt{ 3}I\) | \(\frac{ 1}{ 27}\) | \(\frac{ 5}{ 9}\) | \(\infty\) |
|---|---|---|---|---|---|
| \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(1\) |
| \(1\) | \(0\) | \(1\) | \(1\) | \(1\) | \(1\) |
| \(1\) | \(0\) | \(1\) | \(1\) | \(3\) | \(1\) |
| \(2\) | \(0\) | \(2\) | \(2\) | \(4\) | \(1\) |
3
New Number: 5.6 | AESZ: 23 | Superseeker: 4/3 44/3 | Hash: 65760d446ba9c3da587ce5bd9912745e
Degree: 5
\(3^{2} \theta^4-2^{2} 3 x\left(64\theta^4+80\theta^3+73\theta^2+33\theta+6\right)+2^{7} x^{2}\left(194\theta^4+440\theta^3+527\theta^2+315\theta+75\right)-2^{12} x^{3}\left(94\theta^4+288\theta^3+397\theta^2+261\theta+66\right)+2^{17} x^{4}\left(22\theta^4+80\theta^3+117\theta^2+77\theta+19\right)-2^{23} x^{5}\left((\theta+1)^4\right)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 8, 104, 1664, 30376, ... --> OEIS Normalized instanton numbers (n0=1): 4/3, 13/3, 44/3, 278/3, 2336/3, ... ; Common denominator:...
\(-(-1+32z)(16z-1)^2(32z-3)^2\)
| \(0\) | \(\frac{ 1}{ 32}\) | \(\frac{ 1}{ 16}\) | \(\frac{ 3}{ 32}\) | \(\infty\) |
|---|---|---|---|---|
| \(0\) | \(0\) | \(0\) | \(0\) | \(1\) |
| \(0\) | \(1\) | \(\frac{ 1}{ 2}\) | \(1\) | \(1\) |
| \(0\) | \(1\) | \(\frac{ 1}{ 2}\) | \(3\) | \(1\) |
| \(0\) | \(2\) | \(1\) | \(4\) | \(1\) |