1
New Number: 5.80 | AESZ: 311 | Superseeker: 25/13 875/13 | Hash: 8219f3f4bd56f6c2b2cc3ab9093b65d1
Degree: 5
\(13^{2} \theta^4-13 x\left(327\theta^4+1038\theta^3+857\theta^2+338\theta+52\right)-2^{4} x^{2}\left(12848\theta^4+42008\theta^3+52082\theta^2+28548\theta+5707\right)-2^{11} x^{3}\left(122\theta^4-1872\theta^3-6341\theta^2-5772\theta-1547\right)+2^{16} x^{4}(2\theta+1)(76\theta^3+426\theta^2+570\theta+227)+2^{23} x^{5}(2\theta+1)(\theta+1)^2(2\theta+3)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 4, 84, 1840, 56980, ... --> OEIS Normalized instanton numbers (n0=1): 25/13, 1359/52, 875/13, 36572/13, 256800/13, ... ; Common denominator:...
\((8192z^3-896z^2-35z+1)(13+64z)^2\)
| \(-\frac{ 13}{ 64}\) | ≈\(-0.045147\) | \(0\) | ≈\(0.020117\) | ≈\(0.134405\) | \(\infty\) |
|---|---|---|---|---|---|
| \(0\) | \(0\) | \(0\) | \(0\) | \(0\) | \(\frac{ 1}{ 2}\) |
| \(1\) | \(1\) | \(0\) | \(1\) | \(1\) | \(1\) |
| \(3\) | \(1\) | \(0\) | \(1\) | \(1\) | \(1\) |
| \(4\) | \(2\) | \(0\) | \(2\) | \(2\) | \(\frac{ 3}{ 2}\) |
2
New Number: 1.10 | AESZ: 10 | Superseeker: 928 170869536 | Hash: 51f8135aba94201bd0bbe9b2287a92d5
Degree: 1
\(\theta^4-2^{4} x(4\theta+1)^2(4\theta+3)^2\)
Maple LaTexCoefficients of the holomorphic solution: 1, 144, 176400, 341510400, 811620810000, ... --> OEIS Normalized instanton numbers (n0=1): 928, 245616, 170869536, 174999877936, 221984814405088, ... ; Common denominator:...
\(\)
No data for singularities
3
New Number: 1.4 | AESZ: 4 | Superseeker: 117 713814 | Hash: 1f2a9672b7cdc68eae658b2304b40dbd
Degree: 1
\(\theta^4-3^{2} x(3\theta+1)^2(3\theta+2)^2\)
Maple LaTexCoefficients of the holomorphic solution: 1, 36, 8100, 2822400, 1200622500, ... --> OEIS Normalized instanton numbers (n0=1): 117, 5868, 713814, 126605376, 27754210287, ... ; Common denominator:...
\(1-729z\)
| \(0\) | \(\frac{ 1}{ 729}\) | \(\infty\) |
|---|---|---|
| \(0\) | \(0\) | \(\frac{ 1}{ 3}\) |
| \(0\) | \(1\) | \(\frac{ 1}{ 3}\) |
| \(0\) | \(1\) | \(\frac{ 2}{ 3}\) |
| \(0\) | \(2\) | \(\frac{ 2}{ 3}\) |
4
New Number: 1.5 | AESZ: 5 | Superseeker: 60 134292 | Hash: a6c4fb927cb2a4bb1103c1c739a252b0
Degree: 1
\(\theta^4-2^{2} 3 x(3\theta+1)(2\theta+1)^2(3\theta+2)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 24, 3240, 672000, 169785000, ... --> OEIS Normalized instanton numbers (n0=1): 60, 1869, 134292, 14016600, 1806410976, ... ; Common denominator:...
\(1-432z\)
| \(0\) | \(\frac{ 1}{ 432}\) | \(\infty\) |
|---|---|---|
| \(0\) | \(0\) | \(\frac{ 1}{ 3}\) |
| \(0\) | \(1\) | \(\frac{ 1}{ 2}\) |
| \(0\) | \(1\) | \(\frac{ 1}{ 2}\) |
| \(0\) | \(2\) | \(\frac{ 2}{ 3}\) |