New Number: 2.33 | AESZ: | Superseeker: -160 -539680 | Hash: 83a66e92381baa083f87a13e02375bc9
Degree: 2
\(\theta^4-2^{4} x(4\theta+1)(4\theta+3)(32\theta^2+32\theta+13)+2^{16} x^{2}(4\theta+1)(4\theta+3)(4\theta+5)(4\theta+7)\)
Maple LaTex Coefficients of the holomorphic solution: 1, 624, 1251600, 3268151040, 9627237219600, ... --> OEIS Normalized instanton numbers (n0=1): -160, -6920, -539680, -54568560, -6402958560, ... ; Common denominator:...
Discriminant
\((4096z-1)^2\)
Local exponents
Note:
This is operator "2.33" from ...
Integral instantons: ,...
Coefficients of the Yukawa coupling: 1, -160, -55520, -14571520, -3492443360, -800369820160, -178601623193600, -39158593093304320,...
Coefficients of the q-coordinate : 0, 1, -2368, 4490848, -7667378176, 12339033298480, -19115196671346688, 28835535209979429376,...
| 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 \(\frac{ 1}{ 12}+80\lambda\) | \(\frac{ 11}{ 24}+40\lambda\) | \(-\frac{ 11}{ 288}+\frac{ 10}{ 3}\lambda\) | \(.172495151\) |
\(-\frac{ 1}{ 6}\) | \(\frac{ 11}{ 12}\) | \(-\frac{ 1}{ 144}\) | \(-\frac{ 11}{ 288}-\frac{ 10}{ 3}\lambda\) |
\(-2\) | \(1\) | \(\frac{ 11}{ 12}\) | \(\frac{ 11}{ 24}-40\lambda\) |
\(-4\) | \(-2\) | \(-\frac{ 1}{ 6}\) | \(\frac{ 1}{ 12}-80\lambda\) |
copy data Basis of the Doran-Morgan lattice
\(\frac{ 11}{ 12}-80\lambda\) | \(\frac{ 1}{ 6}\) | \(\frac{ 1}{ 2}\) | \(1\) |
\(\frac{ 1}{ 6}\) | \(0\) | \(-1\) | \(0\) |
\(2\) | \(-4\) | \(0\) | \(0\) |
\(4\) | \(0\) | \(0\) | \(0\) |
copy data