1
New Number: 5.5 | AESZ: 22 | Superseeker: 10/7 295/7 | Hash: 5b96eae0872756be1130d4b12ffe60a6
Degree: 5
\(7^{2} \theta^4-7 x\left(155\theta^4+286\theta^3+234\theta^2+91\theta+14\right)-x^{2}\left(16105\theta^4+68044\theta^3+102261\theta^2+66094\theta+15736\right)+2^{3} x^{3}\left(2625\theta^4+8589\theta^3+9071\theta^2+3759\theta+476\right)-2^{4} x^{4}\left(465\theta^4+1266\theta^3+1439\theta^2+806\theta+184\right)+2^{9} x^{5}\left((\theta+1)^4\right)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 2, 34, 488, 9826, ... --> OEIS Normalized instanton numbers (n0=1): 10/7, 65/7, 295/7, 3065/7, 4245, ... ; Common denominator:...
\((32z-1)(z^2-11z-1)(4z-7)^2\)
| \(\frac{ 11}{ 2}-\frac{ 5}{ 2}\sqrt{ 5}\) | \(0\) | \(\frac{ 1}{ 32}\) | \(\frac{ 7}{ 4}\) | \(\frac{ 11}{ 2}+\frac{ 5}{ 2}\sqrt{ 5}\) | \(\infty\) |
|---|---|---|---|---|---|
| \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(1\) |
| \(1\) | \(0\) | \(1\) | \(1\) | \(1\) | \(1\) |
| \(1\) | \(0\) | \(1\) | \(3\) | \(1\) | \(1\) |
| \(2\) | \(0\) | \(2\) | \(4\) | \(2\) | \(1\) |
2
New Number: 8.63 | AESZ: | Superseeker: 8/5 67 | Hash: 2c5f91dca73abc39f5d6eb00b9c4ea16
Degree: 8
\(5^{2} \theta^4-5 x\left(199\theta^4+206\theta^3+168\theta^2+65\theta+10\right)+x^{2}\left(3919\theta^4-12068\theta^3-29761\theta^2-21850\theta-5520\right)+2^{3} x^{3}\left(7540\theta^4+22092\theta^3+14577\theta^2+945\theta-1380\right)-2^{4} x^{4}\left(19051\theta^4+64358\theta^3+193446\theta^2+204083\theta+70234\right)+2^{6} x^{5}\left(9185\theta^4+171038\theta^3+422584\theta^2+391123\theta+124848\right)-2^{6} 3^{2} x^{6}\left(4673\theta^4+16800\theta^3+53963\theta^2+64704\theta+24596\right)-2^{9} 3^{4} x^{7}\left(578\theta^4+2884\theta^3+4825\theta^2+3383\theta+858\right)-2^{12} 3^{8} x^{8}\left((\theta+1)^4\right)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 2, 30, 488, 9934, ... --> OEIS Normalized instanton numbers (n0=1): 8/5, 101/10, 67, 6197/10, 32978/5, ... ; Common denominator:...
\(-(8z+1)(648z^3-79z^2+35z-1)(-5+32z+72z^2)^2\)
| \(-\frac{ 2}{ 9}-\frac{ 1}{ 36}\sqrt{ 154}\) | \(-\frac{ 1}{ 8}\) | \(0\) | ≈\(0.030113\) | ≈\(0.0459-0.221678I\) | ≈\(0.0459+0.221678I\) | \(-\frac{ 2}{ 9}+\frac{ 1}{ 36}\sqrt{ 154}\) | \(\infty\) |
|---|---|---|---|---|---|---|---|
| \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(1\) |
| \(1\) | \(1\) | \(0\) | \(1\) | \(1\) | \(1\) | \(1\) | \(1\) |
| \(3\) | \(1\) | \(0\) | \(1\) | \(1\) | \(1\) | \(3\) | \(1\) |
| \(4\) | \(2\) | \(0\) | \(2\) | \(2\) | \(2\) | \(4\) | \(1\) |