1
New Number: 5.118 | AESZ: 416 | Superseeker: 1312 127846048 | Hash: 3ae3241981d64d9c9cc38b29974fa202
Degree: 5
\(\theta^4+2^{4} x\left(560\theta^4-32\theta^3+56\theta^2+72\theta+15\right)+2^{15} x^{2}\left(896\theta^4+272\theta^3+604\theta^2+196\theta+21\right)+2^{24} 3^{2} x^{3}\left(288\theta^4+352\theta^3+364\theta^2+164\theta+29\right)+2^{35} 3^{3} x^{4}(2\theta+1)(16\theta^3+32\theta^2+28\theta+9)+2^{46} 3^{3} x^{5}(2\theta+1)(\theta+1)^2(2\theta+3)\)
Maple LaTexCoefficients of the holomorphic solution: 1, -240, 118032, -72810240, 50454043920, ... --> OEIS Normalized instanton numbers (n0=1): 1312, -301376, 127846048, -70845744192, 45645879602784, ... ; Common denominator:...
\((1+768z)(1024z+1)^2(3072z+1)^2\)
| \(-\frac{ 1}{ 768}\) | \(-\frac{ 1}{ 1024}\) | \(-\frac{ 1}{ 3072}\) | \(0\) | \(\infty\) |
|---|---|---|---|---|
| \(0\) | \(0\) | \(0\) | \(0\) | \(\frac{ 1}{ 2}\) |
| \(1\) | \(\frac{ 1}{ 2}\) | \(1\) | \(0\) | \(1\) |
| \(1\) | \(\frac{ 1}{ 2}\) | \(3\) | \(0\) | \(1\) |
| \(2\) | \(1\) | \(4\) | \(0\) | \(\frac{ 3}{ 2}\) |
2
New Number: 5.57 | AESZ: 263 | Superseeker: 1312 58156704 | Hash: 2157fe92de97f7b684b3cbd7b8bdf280
Degree: 5
\(\theta^4+2^{4} x\left(464\theta^4-32\theta^3+76\theta^2+92\theta+21\right)+2^{15} x^{2}\left(608\theta^4+152\theta^3+450\theta^2+131\theta+5\right)+2^{22} x^{3}\left(5584\theta^4+6144\theta^3+6852\theta^2+2808\theta+471\right)+2^{34} 5 x^{4}\left(136\theta^4+320\theta^3+341\theta^2+181\theta+39\right)+2^{46} 5^{2} x^{5}\left((\theta+1)^4\right)\)
Maple LaTexCoefficients of the holomorphic solution: 1, -336, 198416, -142318848, 112152177936, ... --> OEIS Normalized instanton numbers (n0=1): 1312, -211968, 58156704, -19819112104, 7519377878624, ... ; Common denominator:...
\((1+256z)(1024z+1)^2(2560z+1)^2\)
| \(-\frac{ 1}{ 256}\) | \(-\frac{ 1}{ 1024}\) | \(-\frac{ 1}{ 2560}\) | \(0\) | \(\infty\) |
|---|---|---|---|---|
| \(0\) | \(0\) | \(0\) | \(0\) | \(1\) |
| \(1\) | \(0\) | \(1\) | \(0\) | \(1\) |
| \(1\) | \(1\) | \(3\) | \(0\) | \(1\) |
| \(2\) | \(1\) | \(4\) | \(0\) | \(1\) |