New Number: 2.8 | AESZ: 63 | Superseeker: 684 195638820 | Hash: 06c1a4c0aa33f5051126908a9898430d
Degree: 2
\(\theta^4-2^{2} 3 x(6\theta+1)(6\theta+5)(11\theta^2+11\theta+3)-2^{4} 3^{2} x^{2}(6\theta+1)(6\theta+5)(6\theta+7)(6\theta+11)\)
Maple LaTex Coefficients of the holomorphic solution: 1, 180, 263340, 600359760, 1674535082220, ... --> OEIS Normalized instanton numbers (n0=1): 684, 253314, 195638820, 225040578570, 319342448936304, ... ; Common denominator:...
Discriminant
\(1-4752z-186624z^2\)
No data for singularities
Note:
Hadamard product D*b
Integral instantons: ,...
Coefficients of the Yukawa coupling: 1, 684, 2027196, 5282248824, 14402599055676, 39917806117038684, 112034490051721453848, 317186684016739498845000,...
Coefficients of the q-coordinate : 0, 1, -1236, 518886, -341674576, -139917999999, -394931030325048, -772657012856807950,...
| Gopakumar-Vafa invariants |
---|
g=0 | 3420, 1266570, 978194100, 1125202892850, 1596712244681520, 2593390973297156910, 4623712594996202607060, 8826751501399749729515490,... |
g=1 | 1, -611, -3437965, 524537945, 45789504955348, 237013737984797903, 922140400732269341707, 3194302059028418771226413,... |
g=2 | ,... |
Explicit solution
\(A_{n}=\dbinom{3n}{n}\dbinom{6n}{3n}\sum_{k=0}^{n}\dbinom{n}{k}^2\dbinom{n+k}{n}\)
Maple LaTex Characteristic classes:
Monodromy (with respect to Frobenius basis)
Basis of the Doran-Morgan lattice
\(-\frac{ 18778337}{ 12500000}I\) | \(\frac{ 41}{ 12}\) | \(1\) | \(1\) |
\(-\frac{ 31}{ 12}\) | \(-\frac{ 5}{ 2}\) | \(-1\) | \(0\) |
\(0\) | \(5\) | \(0\) | \(0\) |
\(-5\) | \(0\) | \(0\) | \(0\) |
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