1
New Number: 3.21 | AESZ: 391 | Superseeker: 964 85888580/3 | Hash: 907f1fbd0b6f7c89689fb136ee18482a
Degree: 3
\(\theta^4-2^{2} x\left(3460\theta^4+5768\theta^3+4385\theta^2+1501\theta+186\right)+2^{10} 3^{2} x^{2}(4\theta+3)(1732\theta^3+4475\theta^2+3531\theta+645)-2^{14} 3^{4} 17^{2} x^{3}(4\theta+1)(4\theta+3)(4\theta+7)(4\theta+9)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 744, 1731240, 5192436480, 17479541356200, ... --> OEIS Normalized instanton numbers (n0=1): 964, -111140, 85888580/3, -9197858184, 3544241969952, ... ; Common denominator:...
\(-(4624z-1)(-1+4608z)^2\)
| \(0\) | \(\frac{ 1}{ 4624}\) | \(\frac{ 1}{ 4608}\) | \(\infty\) |
|---|---|---|---|
| \(0\) | \(0\) | \(0\) | \(\frac{ 1}{ 4}\) |
| \(0\) | \(1\) | \(\frac{ 1}{ 2}\) | \(\frac{ 3}{ 4}\) |
| \(0\) | \(1\) | \(1\) | \(\frac{ 7}{ 4}\) |
| \(0\) | \(2\) | \(\frac{ 3}{ 2}\) | \(\frac{ 9}{ 4}\) |
2
New Number: 5.11 | AESZ: 71 | Superseeker: 112 378800 | Hash: cf4de65b0566a4f6294132c167d227eb
Degree: 5
\(\theta^4+2^{4} x\left(39\theta^4-42\theta^3-29\theta^2-8\theta-1\right)+2^{11} x^{2}\theta(37\theta^3-137\theta^2-10\theta-1)-2^{16} x^{3}\left(181\theta^4+456\theta^3+353\theta^2+132\theta+19\right)-2^{23} 5 x^{4}\left(36\theta^4+60\theta^3+36\theta^2+6\theta-1\right)+2^{30} 5^{2} x^{5}\left((\theta+1)^4\right)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 16, 656, 40192, 3006736, ... --> OEIS Normalized instanton numbers (n0=1): 112, -4570, 378800, -40565898, 5098744272, ... ; Common denominator:...
\((16z-1)(128z-1)(128z+1)(1+320z)^2\)
| \(-\frac{ 1}{ 128}\) | \(-\frac{ 1}{ 320}\) | \(0\) | \(\frac{ 1}{ 128}\) | \(\frac{ 1}{ 16}\) | \(\infty\) |
|---|---|---|---|---|---|
| \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(1\) |
| \(1\) | \(1\) | \(0\) | \(1\) | \(1\) | \(1\) |
| \(1\) | \(3\) | \(0\) | \(1\) | \(1\) | \(1\) |
| \(2\) | \(4\) | \(0\) | \(2\) | \(2\) | \(1\) |