1
New Number: 3.30 | AESZ: 422 | Superseeker: 124 2152276/9 | Hash: b37ac82ae57415849cb59beac4cd6adf
Degree: 3
\(\theta^4+2^{2} x\left(380\theta^4+760\theta^3+907\theta^2+527\theta+117\right)+2^{4} 3 x^{2}(8\theta+7)(8\theta+9)(184\theta^2+368\theta+183)-2^{8} 3^{2} x^{3}(8\theta+7)(8\theta+9)(8\theta+15)(8\theta+17)\)
Maple LaTexCoefficients of the holomorphic solution: 1, -468, 280260, -182276400, 123566444100, ... --> OEIS Normalized instanton numbers (n0=1): 124, -3752, 2152276/9, -18042588, 1647569184, ... ; Common denominator:...
\(-(16z-1)(1+768z)^2\)
| \(-\frac{ 1}{ 768}\) | \(0\) | \(\frac{ 1}{ 16}\) | \(\infty\) |
|---|---|---|---|
| \(0\) | \(0\) | \(0\) | \(\frac{ 7}{ 8}\) |
| \(-\frac{ 1}{ 2}\) | \(0\) | \(1\) | \(\frac{ 9}{ 8}\) |
| \(1\) | \(0\) | \(1\) | \(\frac{ 15}{ 8}\) |
| \(\frac{ 3}{ 2}\) | \(0\) | \(2\) | \(\frac{ 17}{ 8}\) |
2
New Number: 5.10 | AESZ: 59 | Superseeker: 30/7 124 | Hash: f47563daeb0f7328bd675f13cfb84a55
Degree: 5
\(7^{2} \theta^4-2 7 x\left(257\theta^4+520\theta^3+435\theta^2+175\theta+28\right)+2^{2} x^{2}\left(13497\theta^4+55536\theta^3+81222\theta^2+50337\theta+11396\right)-2^{3} x^{3}\left(17201\theta^4+114996\theta^3+248466\theta^2+202629\theta+55412\right)-2^{4} x^{4}\left(5762\theta^4+29668\theta^3+48150\theta^2+31741\theta+7412\right)-2^{5} 3 x^{5}(4\theta+5)(3\theta+2)(3\theta+4)(4\theta+3)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 8, 144, 3680, 114400, ... --> OEIS Normalized instanton numbers (n0=1): 30/7, 129/14, 124, 72129/56, 130434/7, ... ; Common denominator:...
\(-(4z-1)(16z-1)(54z-1)(7+2z)^2\)
| \(-\frac{ 7}{ 2}\) | \(0\) | \(\frac{ 1}{ 54}\) | \(\frac{ 1}{ 16}\) | \(\frac{ 1}{ 4}\) | \(\infty\) |
|---|---|---|---|---|---|
| \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(\frac{ 2}{ 3}\) |
| \(1\) | \(0\) | \(1\) | \(1\) | \(1\) | \(\frac{ 3}{ 4}\) |
| \(3\) | \(0\) | \(1\) | \(1\) | \(1\) | \(\frac{ 5}{ 4}\) |
| \(4\) | \(0\) | \(2\) | \(2\) | \(2\) | \(\frac{ 4}{ 3}\) |