1
New Number: 2.68 | AESZ: 406 | Superseeker: -12 -1668 | Hash: d3a5c69671a7189e15cf1394437380a2
Degree: 2
\(\theta^4-2^{2} x\left(128\theta^4+224\theta^3+197\theta^2+85\theta+14\right)+2^{7} x^{2}(2\theta+1)(4\theta+5)(8\theta+5)(8\theta+9)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 56, 7272, 1200000, 222009000, ... --> OEIS Normalized instanton numbers (n0=1): -12, -186, -1668, -25974, -243552, ... ; Common denominator:...
\((256z-1)^2\)
| \(0\) | \(\frac{ 1}{ 256}\) | \(\infty\) |
|---|---|---|
| \(0\) | \(0\) | \(\frac{ 1}{ 2}\) |
| \(0\) | \(\frac{ 1}{ 4}\) | \(\frac{ 5}{ 8}\) |
| \(0\) | \(1\) | \(\frac{ 9}{ 8}\) |
| \(0\) | \(\frac{ 5}{ 4}\) | \(\frac{ 5}{ 4}\) |
2
New Number: 3.27 | AESZ: 408 | Superseeker: -60 -61780 | Hash: 32ab77c73baf49023973ad11e5d0852e
Degree: 3
\(\theta^4-2^{2} x(2\theta+1)(46\theta^3+53\theta^2+45\theta+11)-2^{4} x^{2}(8\theta+7)(64\theta^3+312\theta^2+440\theta+135)+2^{8} 3^{2} x^{3}(8\theta+3)(8\theta+7)(8\theta+15)(8\theta+19)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 44, 6060, 972720, 182017260, ... --> OEIS Normalized instanton numbers (n0=1): -60, 975, -61780, 4166460, -1853578608/5, ... ; Common denominator:...
\((144z+1)(-1+256z)^2\)
| \(-\frac{ 1}{ 144}\) | \(0\) | \(\frac{ 1}{ 256}\) | \(\infty\) |
|---|---|---|---|
| \(0\) | \(0\) | \(0\) | \(\frac{ 3}{ 8}\) |
| \(1\) | \(0\) | \(\frac{ 1}{ 4}\) | \(\frac{ 7}{ 8}\) |
| \(1\) | \(0\) | \(1\) | \(\frac{ 15}{ 8}\) |
| \(2\) | \(0\) | \(\frac{ 5}{ 4}\) | \(\frac{ 19}{ 8}\) |
3
New Number: 3.29 | AESZ: 411 | Superseeker: 3 237 | Hash: 767c4e8d5a7bc53fbbd0d49797e65358
Degree: 3
\(\theta^4-x\left(16+98\theta+235\theta^2+274\theta^3+145\theta^4\right)+2^{3} x^{2}(2\theta+1)(4\theta+5)(97\theta^2+190\theta+120)-2^{4} 3^{4} x^{3}(4\theta+5)(2\theta+3)(2\theta+1)(4\theta+9)\)
Maple LaTexCoefficients of the holomorphic solution: 1, 16, 468, 17520, 774060, ... --> OEIS Normalized instanton numbers (n0=1): 3, 36, 237, 4638, 72330, ... ; Common denominator:...
\(-(81z-1)(-1+32z)^2\)
| \(0\) | \(\frac{ 1}{ 81}\) | \(\frac{ 1}{ 32}\) | \(\infty\) |
|---|---|---|---|
| \(0\) | \(0\) | \(0\) | \(\frac{ 1}{ 2}\) |
| \(0\) | \(1\) | \(\frac{ 1}{ 4}\) | \(\frac{ 5}{ 4}\) |
| \(0\) | \(1\) | \(1\) | \(\frac{ 3}{ 2}\) |
| \(0\) | \(2\) | \(\frac{ 5}{ 4}\) | \(\frac{ 9}{ 4}\) |