1
New Number: 3.22 | AESZ: 392 | Superseeker: 166 1016100 | Hash: 5862be5cc4d3ec1686e6b9a6ec08f7e7
Degree: 3
\(\theta^4-2 x\left(230\theta^4+496\theta^3+323\theta^2+75\theta+6\right)-2^{2} 3 x^{2}(6\theta+5)(1866\theta^3+5341\theta^2+4760\theta+1084)-2^{4} 3^{2} 13^{2} x^{3}(6\theta+5)(6\theta+11)(3\theta+1)(3\theta+7)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 12, 5760, 1664544, 681014880, ... --> OEIS Normalized instanton numbers (n0=1): 166, 8076, 1016100, 189329096, 43879949258, ... ; Common denominator:...
\(-(676z-1)(1+108z)^2\)
\(-\frac{ 1}{ 108}\) | \(0\) | \(\frac{ 1}{ 676}\) | \(\infty\) |
---|---|---|---|
\(0\) | \(0\) | \(0\) | \(\frac{ 1}{ 3}\) |
\(\frac{ 1}{ 3}\) | \(0\) | \(1\) | \(\frac{ 5}{ 6}\) |
\(1\) | \(0\) | \(1\) | \(\frac{ 11}{ 6}\) |
\(\frac{ 4}{ 3}\) | \(0\) | \(2\) | \(\frac{ 7}{ 3}\) |
2
New Number: 4.36 | AESZ: 109 | Superseeker: 1434/7 18676572/7 | Hash: bca2938ac7fa09f5bdc395cab75caf82
Degree: 4
\(7^{2} \theta^4-2 3 7 x\left(1272\theta^4+2508\theta^3+1779\theta^2+525\theta+56\right)+2^{2} 3 x^{2}\left(43704\theta^4+38088\theta^3-25757\theta^2-20608\theta-3360\right)-2^{4} 3^{3} x^{3}\left(2736\theta^4-1512\theta^3-1672\theta^2-357\theta-14\right)-2^{6} 3^{5} x^{4}(3\theta+1)(2\theta+1)^2(3\theta+2)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 48, 15840, 8148000, 5126536800, ... --> OEIS Normalized instanton numbers (n0=1): 1434/7, 14718, 18676572/7, 4988009280/7, 1646787631350/7, ... ; Common denominator:...
\(-(432z^2+1080z-1)(-7+36z)^2\)
\(-\frac{ 5}{ 4}-\frac{ 13}{ 18}\sqrt{ 3}\) | \(0\) | \(s_1\) | \(s_2\) | \(-\frac{ 5}{ 4}+\frac{ 13}{ 18}\sqrt{ 3}\) | \(\frac{ 7}{ 36}\) | \(\infty\) |
---|---|---|---|---|---|---|
\(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(\frac{ 1}{ 3}\) |
\(1\) | \(0\) | \(1\) | \(1\) | \(1\) | \(1\) | \(\frac{ 1}{ 2}\) |
\(1\) | \(0\) | \(1\) | \(1\) | \(1\) | \(3\) | \(\frac{ 1}{ 2}\) |
\(2\) | \(0\) | \(2\) | \(2\) | \(2\) | \(4\) | \(\frac{ 2}{ 3}\) |