1
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:...
\(-(4z-1)(16z-1)(54z-1)(7+2z)^2\)
| \(-\frac{ 7}{ 2}\) | \(0\) | \(\frac{ 1}{ 54}\) | \(\frac{ 1}{ 16}\) | \(\frac{ 1}{ 4}\) | \(\infty\) |
|---|---|---|---|---|---|
| \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(\frac{ 2}{ 3}\) |
| \(1\) | \(0\) | \(1\) | \(1\) | \(1\) | \(\frac{ 3}{ 4}\) |
| \(3\) | \(0\) | \(1\) | \(1\) | \(1\) | \(\frac{ 5}{ 4}\) |
| \(4\) | \(0\) | \(2\) | \(2\) | \(2\) | \(\frac{ 4}{ 3}\) |
2
New Number: 5.52 | AESZ: 252 | Superseeker: -232/5 -122168/5 | Hash: cae57e93a6afb98313f62899d1f75e2e
Degree: 5
\(5^{2} \theta^4-2^{2} 5 x\left(36\theta^4-636\theta^3-488\theta^2-170\theta-25\right)-2^{4} x^{2}\left(21301\theta^4+27148\theta^3-86889\theta^2-63110\theta-14975\right)+2^{8} 5 x^{3}\left(3907\theta^4-58863\theta^3-25285\theta^2+10878\theta+7151\right)+2^{10} 59 x^{4}\left(10981\theta^4-29878\theta^3-89811\theta^2-70372\theta-17759\right)+2^{15} 3 59^{2} x^{5}(4\theta+5)(3\theta+2)(3\theta+4)(4\theta+3)\)
Maple LaTexCoefficients of the holomorphic solution: 1, -20, 684, -32240, 1969900, ... --> OEIS Normalized instanton numbers (n0=1): -232/5, -7499/10, -122168/5, -4503443/5, -200467616/5, ... ; Common denominator:...
\((108z+1)(2048z^2+52z+1)(-5+472z)^2\)
| \(-\frac{ 13}{ 1024}-\frac{ 7}{ 1024}\sqrt{ 7}I\) | \(-\frac{ 13}{ 1024}+\frac{ 7}{ 1024}\sqrt{ 7}I\) | \(-\frac{ 1}{ 108}\) | \(0\) | \(\frac{ 5}{ 472}\) | \(\infty\) |
|---|---|---|---|---|---|
| \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(\frac{ 2}{ 3}\) |
| \(1\) | \(1\) | \(1\) | \(0\) | \(1\) | \(\frac{ 3}{ 4}\) |
| \(1\) | \(1\) | \(1\) | \(0\) | \(3\) | \(\frac{ 5}{ 4}\) |
| \(2\) | \(2\) | \(2\) | \(0\) | \(4\) | \(\frac{ 4}{ 3}\) |