New Number: 2.70 | AESZ: | Superseeker: 20 28820/3 | Hash: 336ddc1188eadae2f4b4c470a17f4ec1
Degree: 2
\(\theta^4-2^{2} x\left(128\theta^4+352\theta^3+413\theta^2+237\theta+54\right)+2^{7} x^{2}(4\theta+5)(2\theta+3)(8\theta+9)(8\theta+13)\)
Maple LaTex Coefficients of the holomorphic solution: 1, 216, 49896, 11872896, 2872063656, ... --> OEIS Normalized instanton numbers (n0=1): 20, 290, 28820/3, 454190, 26517920, ... ; Common denominator:...
Discriminant
\((256z-1)^2\)
Local exponents
Note:
Operator equivalent to (:aesz 255)
Integral instantons: ,...
Coefficients of the Yukawa coupling: 1, 20, 2340, 259400, 29070500, 3314740020, 382728367080, 44608004227800,...
Coefficients of the q-coordinate : 0, 1, -84, 3294, -104464, 2008365, -80464536, -1641557998,...
| 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 \(\frac{ 1}{ 2}-60I\lambda+I(-\frac{ 1}{ 2}-60I\lambda)\) | \(\frac{ 1}{ 12}-\frac{ 1}{ 12}I\) | \(-5I\lambda+5\lambda\) | \(-.20732598e-1+.20732598e-1I\) |
\(1-I\) | \(\frac{ 1}{ 2}-\frac{ 1}{ 2}I\) | \(\frac{ 1}{ 3}-\frac{ 1}{ 3}I\) | \(5I\lambda-5\lambda\) |
\(0\) | \(-1+I\) | \(\frac{ 1}{ 2}-\frac{ 1}{ 2}I\) | \(\frac{ 1}{ 12}-\frac{ 1}{ 12}I\) |
\(12-12I\) | \(0\) | \(1-I\) | \(\frac{ 1}{ 2}+60I\lambda+I(-\frac{ 1}{ 2}+60I\lambda)\) |
copy data Basis of the Doran-Morgan lattice
\(60I\lambda+\frac{ 1}{ 2}+\frac{ 1}{ 2}I-60\lambda\) | \(3-3I\) | \(-I\) | \(1\) |
\(-1+I\) | \(-6+6I\) | \(I\) | \(0\) |
\(0\) | \(12-12I\) | \(0\) | \(0\) |
\(-12+12I\) | \(0\) | \(0\) | \(0\) |
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