New Number: 2.36 | AESZ: | Superseeker: -36 128217204 | Hash: 4dbde07f1392f8d49d0e10858d3a17f1
Degree: 2
\(\theta^4-2^{2} 3^{2} x(3\theta+1)(3\theta+2)(72\theta^2+72\theta+31)+2^{8} 3^{8} x^{2}(3\theta+1)(3\theta+2)(3\theta+4)(3\theta+5)\)
Maple LaTex Coefficients of the holomorphic solution: 1, 2232, 13377960, 102324983040, 875961004703400, ... --> OEIS Normalized instanton numbers (n0=1): -36, -486279, 128217204, -74772628524, 63925611915744, ... ; Common denominator:...
Discriminant
\((11664z-1)^2\)
Local exponents
Note:
This is operator "2.36" from ...
Integral instantons: ,...
Coefficients of the Yukawa coupling: 1, -36, -3890268, 3461864472, -4785452115804, 7990701489467964, -7655139322144819992, 11547125747575998541128,...
Coefficients of the q-coordinate : 0, 1, -6300, 29880414, -122158053552, 457195947370029, -1612789915691502216, 5451577544607735749778,...
| 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 \(\frac{ 1}{ 16}+342\lambda\) | \(\frac{ 45}{ 32}+171\lambda\) | \(.27343750000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000-.483390739I\) | \(-.36685353e-1\) |
\(\frac{ 7}{ 8}\) | \(\frac{ 23}{ 16}\) | \(-\frac{ 49}{ 192}\) | \(.27343750000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000+.483390739I\) |
\(-\frac{ 3}{ 2}\) | \(\frac{ 9}{ 4}\) | \(\frac{ 23}{ 16}\) | \(\frac{ 45}{ 32}-171\lambda\) |
\(-3\) | \(-\frac{ 3}{ 2}\) | \(\frac{ 7}{ 8}\) | \(\frac{ 1}{ 16}-342\lambda\) |
copy data Basis of the Doran-Morgan lattice
\(\frac{ 15}{ 16}-342\lambda\) | \(\frac{ 9}{ 8}\) | \(\frac{ 1}{ 2}\) | \(1\) |
\(-\frac{ 7}{ 8}\) | \(0\) | \(-1\) | \(0\) |
\(\frac{ 3}{ 2}\) | \(-3\) | \(0\) | \(0\) |
\(3\) | \(0\) | \(0\) | \(0\) |
copy data