1
New Number: 6.28 | AESZ: | Superseeker: 32/3 14279/9 | Hash: 62617eacb39580484b6f6cca4374260e
Degree: 6
\(3^{6} \theta^4-2 3^{5} x\left(93\theta^4+186\theta^3+122\theta^2+29\theta+1\right)-2^{2} 3^{4} x^{2}\left(5958\theta^4+23832\theta^3+36111\theta^2+24558\theta+6497\right)-3^{3} x^{3}\left(999379\theta^4+5996274\theta^3+13111103\theta^2+12350076\theta+4316124\right)-2^{2} 3^{2} 11 x^{4}\left(455691\theta^4+3645528\theta^3+10306397\theta^2+12061364\theta+4978244\right)-2^{2} 3^{2} 5 11^{2} 19 x^{5}(\theta+4)(\theta+1)(1431\theta^2+7155\theta+7978)-2^{6} 5^{2} 11^{3} 19^{2} x^{6}(\theta+5)(\theta+4)(\theta+2)(\theta+1)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 2/3, 1732/9, 213524/27, 37218544/81, ... --> OEIS Normalized instanton numbers (n0=1): 32/3, 284/3, 14279/9, 118940/3, 1226784, ... ; Common denominator:...
\(-(16z+3)(19z+3)(5225z^2+795z-9)(3+22z)^2\)
| \(-\frac{ 3}{ 16}\) | \(-\frac{ 159}{ 2090}-\frac{ 81}{ 2090}\sqrt{ 5}\) | \(-\frac{ 3}{ 19}\) | \(-\frac{ 3}{ 22}\) | \(0\) | \(-\frac{ 159}{ 2090}+\frac{ 81}{ 2090}\sqrt{ 5}\) | \(\infty\) |
|---|---|---|---|---|---|---|
| \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(1\) |
| \(1\) | \(1\) | \(1\) | \(0\) | \(0\) | \(1\) | \(2\) |
| \(1\) | \(1\) | \(1\) | \(1\) | \(0\) | \(1\) | \(4\) |
| \(2\) | \(2\) | \(2\) | \(1\) | \(0\) | \(2\) | \(5\) |
2
New Number: 8.72 | AESZ: | Superseeker: 32/3 14279/9 | Hash: d1b06e21c273cae807016268cd540d98
Degree: 8
\(3^{2} \theta^4-2 3 x\theta(85\theta^3+176\theta^2+112\theta+24)-2^{2} x^{2}\left(6581\theta^4+25808\theta^3+38672\theta^2+26184\theta+6912\right)-x^{3}\left(433513\theta^4+2497158\theta^3+5333997\theta^2+4967532\theta+1724868\right)-2 x^{4}\left(1751393\theta^4+13178758\theta^3+35803021\theta^2+40983788\theta+16698948\right)-2^{2} x^{5}(\theta+1)(3719315\theta^3+30248511\theta^2+79801768\theta+66666732)-2^{3} 3^{3} x^{6}(\theta+1)(\theta+2)(144041\theta^2+1060683\theta+1963346)-2^{7} 3^{4} x^{7}(\theta+3)(\theta+2)(\theta+1)(2449\theta+10862)-2^{9} 3^{3} 7 71 x^{8}(\theta+1)(\theta+2)(\theta+3)(\theta+4)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 0, 192, 7524, 438912, ... --> OEIS Normalized instanton numbers (n0=1): 32/3, 284/3, 14279/9, 118940/3, 1226784, ... ; Common denominator:...
\(-(7z+1)(6z+1)(639z^2+87z-1)(2z+3)^2(8z+1)^2\)
| \(-\frac{ 3}{ 2}\) | \(-\frac{ 1}{ 6}\) | \(-\frac{ 29}{ 426}-\frac{ 5}{ 142}\sqrt{ 5}\) | \(-\frac{ 1}{ 7}\) | \(-\frac{ 1}{ 8}\) | \(0\) | \(-\frac{ 29}{ 426}+\frac{ 5}{ 142}\sqrt{ 5}\) | \(\infty\) |
|---|---|---|---|---|---|---|---|
| \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(1\) |
| \(1\) | \(1\) | \(1\) | \(1\) | \(0\) | \(0\) | \(1\) | \(2\) |
| \(3\) | \(1\) | \(1\) | \(1\) | \(1\) | \(0\) | \(1\) | \(3\) |
| \(4\) | \(2\) | \(2\) | \(2\) | \(1\) | \(0\) | \(2\) | \(4\) |