New Number: 2.32 | AESZ: | Superseeker: 60 307860 | Hash: c2f30268af49d0bdc6a36f8b0fce3367
Degree: 2
\(\theta^4-2^{2} 3 x(3\theta+1)(3\theta+2)(32\theta^2+32\theta+13)+2^{12} 3^{2} x^{2}(3\theta+1)(3\theta+2)(3\theta+4)(3\theta+5)\)
Maple LaTex Coefficients of the holomorphic solution: 1, 312, 268200, 297104640, 370278354600, ... --> OEIS Normalized instanton numbers (n0=1): 60, -7635, 307860, -44194980, 3687387360, ... ; Common denominator:...
Discriminant
\((1728z-1)^2\)
Local exponents
Note:
This is operator "2.32" from ...
Integral instantons: ,...
Coefficients of the Yukawa coupling: 1, 60, -61020, 8312280, -2828539740, 460923420060, -114320543137560, 20529177447217800,...
Coefficients of the q-coordinate : 0, 1, -924, 641502, -384412592, 211122136365, -109362688829064, 54312562744453394,...
| 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 | \(-.12500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000+.872284041I\) | \(\frac{ 9}{ 16}+90\lambda\) | \(\frac{ 3}{ 64}-\frac{ 15}{ 2}\lambda\) | \(.84124259e-1\) |
| \(\frac{ 1}{ 4}\) | \(\frac{ 9}{ 8}\) | \(-\frac{ 1}{ 96}\) | \(\frac{ 3}{ 64}+\frac{ 15}{ 2}\lambda\) |
| \(-3\) | \(\frac{ 3}{ 2}\) | \(\frac{ 9}{ 8}\) | \(\frac{ 9}{ 16}-90\lambda\) |
| \(-6\) | \(-3\) | \(\frac{ 1}{ 4}\) | \(-.12500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000-.872284041I\) |
copy data Basis of the Doran-Morgan lattice
| \(\frac{ 9}{ 8}-\frac{ 872284041}{ 1000000000}I\) | \(\frac{ 3}{ 4}\) | \(\frac{ 1}{ 2}\) | \(1\) |
| \(-\frac{ 1}{ 4}\) | \(0\) | \(-1\) | \(0\) |
| \(3\) | \(-6\) | \(0\) | \(0\) |
| \(6\) | \(0\) | \(0\) | \(0\) |
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