1
New Number: 6.35 | AESZ: | Superseeker: | Hash: de26083962cade55a4938b4011d0008e
Degree: 6
\(\theta^4-3 x\left(63\theta^4+234\theta^3+247\theta^2+130\theta+28\right)+2 3^{4} x^{2}\left(9\theta^4+522\theta^3+1207\theta^2+1058\theta+356\right)+2^{2} 3^{7} x^{3}\left(135\theta^4+270\theta^3-730\theta^2-1395\theta-696\right)-2^{3} 3^{10} x^{4}\left(63\theta^4+774\theta^3+1372\theta^2+817\theta+88\right)-2^{4} 3^{13} x^{5}\left(72\theta^4+72\theta^3-325\theta^2-629\theta-308\right)+2^{5} 3^{16} x^{6}(3\theta+5)(3\theta+4)(2\theta+3)^2\)
Maple LaTexCoefficients of the holomorphic solution: 1, 84, 7452, 692688, 66448116, ... --> OEIS Normalized instanton numbers (n0=1): 21, -1617/4, 7941, -986355/4, 8179455, ... ; Common denominator:...
\((54z-1)(27z-1)(54z+1)^2(108z-1)^2\)
\(-\frac{ 1}{ 54}\) | \(0\) | \(\frac{ 1}{ 108}\) | \(\frac{ 1}{ 54}\) | \(\frac{ 1}{ 27}\) | \(\infty\) |
---|---|---|---|---|---|
\(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(\frac{ 4}{ 3}\) |
\(1\) | \(0\) | \(-\frac{ 1}{ 2}\) | \(1\) | \(1\) | \(\frac{ 3}{ 2}\) |
\(3\) | \(0\) | \(1\) | \(1\) | \(1\) | \(\frac{ 3}{ 2}\) |
\(4\) | \(0\) | \(\frac{ 3}{ 2}\) | \(2\) | \(2\) | \(\frac{ 5}{ 3}\) |
2
New Number: 7.12 | AESZ: | Superseeker: -21 -7941 | Hash: 0841b278bc566a089b643bbe2460fe8b
Degree: 7
\(\theta^4+3 x\left(99\theta^4+162\theta^3+139\theta^2+58\theta+10\right)+2 3^{4} x^{2}\left(135\theta^4+738\theta^3+945\theta^2+518\theta+116\right)-2^{2} 3^{7} x^{3}\left(117\theta^4-738\theta^3-2010\theta^2-1493\theta-406\right)-2^{3} 3^{10} x^{4}\left(333\theta^4+774\theta^3-898\theta^2-1269\theta-454\right)-2^{4} 3^{13} x^{5}\left(54\theta^4+1224\theta^3+1179\theta^2+347\theta-22\right)+2^{5} 3^{16} x^{6}\left(180\theta^4+72\theta^3-327\theta^2-359\theta-106\right)+2^{7} 3^{19} x^{7}(\theta+1)^2(6\theta+5)(6\theta+7)\)
Maple LaTexCoefficients of the holomorphic solution: 1, -30, 1458, -89076, 6250050, ... --> OEIS Normalized instanton numbers (n0=1): -21, -399, -7941, -986355/4, -8179455, ... ; Common denominator:...
\((27z+1)(54z+1)(54z-1)^2(108z+1)^3\)
\(-\frac{ 1}{ 27}\) | \(-\frac{ 1}{ 54}\) | \(-\frac{ 1}{ 108}\) | \(0\) | \(\frac{ 1}{ 54}\) | \(\infty\) |
---|---|---|---|---|---|
\(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(\frac{ 5}{ 6}\) |
\(1\) | \(1\) | \(\frac{ 1}{ 2}\) | \(0\) | \(1\) | \(1\) |
\(1\) | \(1\) | \(\frac{ 3}{ 2}\) | \(0\) | \(3\) | \(1\) |
\(2\) | \(2\) | \(2\) | \(0\) | \(4\) | \(\frac{ 7}{ 6}\) |