New Number: 2.69 | AESZ: 205 | Superseeker: 1 5 | Hash: 4fb2e7002e630237d0458c3985cd6a18
Degree: 2
\(\theta^4-x\left(59\theta^4+118\theta^3+105\theta^2+46\theta+8\right)+2^{5} 3 x^{2}(\theta+1)^2(3\theta+2)(3\theta+4)\)
Maple LaTex Coefficients of the holomorphic solution: 1, 8, 120, 2240, 46840, ... --> OEIS Normalized instanton numbers (n0=1): 1, 7/4, 5, 24, 759/5, ... ; Common denominator:...
Discriminant
\((32z-1)(27z-1)\)
Local exponents
Note:
This is operator "2.69" from ...
Integral instantons: ,...
Coefficients of the Yukawa coupling: 1, 1, 15, 136, 1551, 18976, 241800, 3025947,...
Coefficients of the q-coordinate : 0, 1, -14, 133, -1032, 6990, -43798, 253594,...
| Gopakumar-Vafa invariants |
---|
g=0 | ,... |
g=1 | ,... |
g=2 | ,... |
Characteristic classes:
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 \(1.+.620290874I\) | \(0\) | \(\frac{ 16}{ 3}\lambda\) | \(.2404755e-2\) |
\(\frac{ 20}{ 3}\) | \(1\) | \(\frac{ 5}{ 18}\) | \(-\frac{ 16}{ 3}\lambda\) |
\(0\) | \(0\) | \(1\) | \(0\) |
\(160\) | \(0\) | \(\frac{ 20}{ 3}\) | \(1.-.620290874I\) |
copy data \(3.333327178+1.235680918I\) | \(-.293785798-.155290034I\) | \(.97173439e-1+.52174089e-1I\) | \(-.12126753e-1-.18089273e-1I\) |
\(13.327492354-.18865422e-1I\) | \(-.677351606+.3680160e-2I\) | \(.556724039+.2392839e-2I\) | \(-.96900942e-1-.51907518e-1I\) |
\(39.969803488-.74697659e-1I\) | \(-5.030457990+.13317419e-1I\) | \(2.669647034+\frac{ 1}{ 243}IPi^{ \frac{ 1}{ 6}}Zeta(5)^7\) | \(-.290681436-.15554156171284634760705289672544080604534005037783375314861460957178841309823677581863979848866498740554156171284634760705289672544080604534005037783375314861460957178841309823677581863979848866498741I\) |
\(319.859816505-.452770130I\) | \(-40.256438534+.88323845e-1I\) | \(13.361376945+.57428145e-1I\) | \(-1.325622606-1.245780435I\) |
copy data Basis of the Doran-Morgan lattice
\(-\frac{ 310145437}{ 500000000}I\) | \(\frac{ 100}{ 3}\) | \(1\) | \(1\) |
\(-\frac{ 20}{ 3}\) | \(-80\) | \(-1\) | \(0\) |
\(0\) | \(160\) | \(0\) | \(0\) |
\(-160\) | \(0\) | \(0\) | \(0\) |
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