New Number: 2.41 | AESZ: | Superseeker: -522 -9879192 | Hash: 73d9f98b2c49f1c35df531f020cf1721
Degree: 2
\(\theta^4-2 3^{2} x\left(324\theta^4+648\theta^3+765\theta^2+441\theta+97\right)+2^{2} 3^{10} x^{2}(\theta+1)^2(6\theta+5)(6\theta+7)\)
Maple LaTex Coefficients of the holomorphic solution: 1, 1746, 3951990, 9740271348, 25043989159350, ... --> OEIS Normalized instanton numbers (n0=1): -522, -105291/2, -9879192, -2420127936, -689420749716, ... ; Common denominator:...
Discriminant
\((2916z-1)^2\)
Local exponents
Note:
Operator equivalent to $\hat{4}$
Integral instantons: ,...
Coefficients of the Yukawa coupling: 1, -522, -421686, -266738706, -154888609590, -86177593715022, -46733188526017326, -24913698985312073262,...
Coefficients of the q-coordinate : 0, 1, -954, 353727, -76415556, 11655125127, -1450031521158, 134882141008365,...
| 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 | \(\frac{ 7}{ 8}\) | \(-108\lambda\) | \(\frac{ 5}{ 64}\) | \(0\) |
| \(0\) | \(-\frac{ 7}{ 8}\) | \(0\) | \(\frac{ 5}{ 64}\) |
| \(3\) | \(0\) | \(-\frac{ 7}{ 8}\) | \(108\lambda\) |
| \(0\) | \(3\) | \(0\) | \(\frac{ 7}{ 8}\) |
copy data Basis of the Doran-Morgan lattice
| \(cy[DM_basis]\) | \(\) | \(\) | \(\) |
| \(\) | \(\) | \(\) | \(\) |
| \(\) | \(\) | \(\) | \(\) |
| \(\) | \(\) | \(\) | \(\) |
copy data