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 LaTex Coefficients of the holomorphic solution: 1, 56, 7272, 1200000, 222009000, ... --> OEIS Normalized instanton numbers (n0=1): -12, -186, -1668, -25974, -243552, ... ; Common denominator:...
Discriminant
\((256z-1)^2\)
Local exponents
Note:
This is operator "2.68" from ...
Integral instantons: ,...
Coefficients of the Yukawa coupling: 1, -12, -1500, -45048, -1663836, -30444012, 145036776, 60814019352,...
Coefficients of the q-coordinate : 0, 1, -116, 8670, -507024, 25668397, -1171976280, 49631564562,...
| Gopakumar-Vafa invariants |
---|
g=0 | ,... |
g=1 | ,... |
g=2 | ,... |
No topological data
Monodromy (with respect to Frobenius basis)
\(1\) | \(-1\) | \(\frac{ 1}{ 2}\) | \(-\frac{ 1}{ 6}\) |
\(0\) | \(1\) | \(-1\) | \(\frac{ 1}{ 2}\) |
\(0\) | \(0\) | \(1\) | \(-1\) |
\(0\) | \(0\) | \(0\) | \(1\) |
copy data \(1.023370425+.23370425e-1I\) | \(\frac{ 1}{ 4}-\frac{ 1}{ 4}I\) | \(9I\lambda-9\lambda\) | \(.18840283e-1-.18840283e-1I\) |
\(1-I\) | \(\frac{ 1}{ 2}-\frac{ 1}{ 2}I\) | \(-\frac{ 1}{ 6}+\frac{ 1}{ 6}I\) | \(-9I\lambda+9\lambda\) |
\(0\) | \(3-3I\) | \(\frac{ 1}{ 2}-\frac{ 1}{ 2}I\) | \(\frac{ 1}{ 4}-\frac{ 1}{ 4}I\) |
\(-12+12I\) | \(0\) | \(1-I\) | \(-.23370425e-1-1.023370425I\) |
copy data Basis of the Doran-Morgan lattice
\(-\frac{ 934817}{ 40000000}-\frac{ 934817}{ 40000000}I\) | \(-1+I\) | \(-I\) | \(1\) |
\(-1+I\) | \(6-6I\) | \(I\) | \(0\) |
\(0\) | \(-12+12I\) | \(0\) | \(0\) |
\(12-12I\) | \(0\) | \(0\) | \(0\) |
copy data