New Number: 2.29 | AESZ: 142 | Superseeker: 45 27735 | Hash: 85c2c2d8111a859d4cc03e8892c56af9
Degree: 2
\(\theta^4-3^{2} x(3\theta+1)(3\theta+2)(18\theta^2+18\theta+7)+3^{8} x^{2}(3\theta+1)(3\theta+2)(3\theta+4)(3\theta+5)\)
Maple LaTex Coefficients of the holomorphic solution: 1, 126, 44550, 20447280, 10600093350, ... --> OEIS Normalized instanton numbers (n0=1): 45, -3465/4, 27735, -1156005, 55721970, ... ; Common denominator:...
Discriminant
\((729z-1)^2\)
Local exponents
Note:
Hadamard product $A \ast$
Integral instantons: ,...
Coefficients of the Yukawa coupling: 1, 45, -6885, 748890, -73991205, 6965246295, -637522845210, 57285251059725,...
Coefficients of the q-coordinate : 0, 1, -387, 112428, -28226469, 6500333565, -1412664854688, 294446127670425,...
| 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 | \(-\frac{ 5}{ 16}+90\lambda\) | \(\frac{ 7}{ 32}+45\lambda\) | \(-\frac{ 7}{ 128}+\frac{ 15}{ 4}\lambda\) | \(.42666543e-1\) |
| \(-\frac{ 3}{ 8}\) | \(\frac{ 13}{ 16}\) | \(-\frac{ 1}{ 64}\) | \(-\frac{ 7}{ 128}-\frac{ 15}{ 4}\lambda\) |
| \(-\frac{ 9}{ 2}\) | \(\frac{ 3}{ 4}\) | \(\frac{ 13}{ 16}\) | \(\frac{ 7}{ 32}-45\lambda\) |
| \(-9\) | \(-\frac{ 9}{ 2}\) | \(-\frac{ 3}{ 8}\) | \(-\frac{ 5}{ 16}-90\lambda\) |
copy data Basis of the Doran-Morgan lattice
| \(\frac{ 21}{ 16}-90\lambda\) | \(\frac{ 3}{ 8}\) | \(\frac{ 1}{ 2}\) | \(1\) |
| \(\frac{ 3}{ 8}\) | \(0\) | \(-1\) | \(0\) |
| \(\frac{ 9}{ 2}\) | \(-9\) | \(0\) | \(0\) |
| \(9\) | \(0\) | \(0\) | \(0\) |
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