New Number: 2.35 | AESZ: ~67 | Superseeker: 480 -16034720 | Hash: f06ee3928cd6d738db065f3f83d12160
Degree: 2
\(\theta^4-2^{4} 3 x(2\theta+1)^2(72\theta^2+72\theta+31)+2^{12} 3^{6} x^{2}(2\theta+1)^2(2\theta+3)^2\)
Maple LaTex Coefficients of the holomorphic solution: 1, 1488, 5351184, 24363091200, 123873273392400, ... --> OEIS Normalized instanton numbers (n0=1): 480, -226968, -16034720, 10943202744, -4352645747040, ... ; Common denominator:...
Discriminant
\((6912z-1)^2\)
Local exponents
Note:
This is operator "2.35" from ...
Integral instantons: ,...
Coefficients of the Yukawa coupling: 1, 480, -1815264, -432936960, 700363160352, -544080718379520, 389808420341741568, 408424773881243566080,...
Coefficients of the q-coordinate : 0, 1, -3456, 8336736, -16309794816, 27866500108848, -43156101030912000, 61938379512020464128,...
| 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 | \(-\frac{ 1}{ 6}+I3^{ \frac{ 6}{ 7}}exp(-\frac{ 4}{ 35})\) | \(\frac{ 7}{ 4}+236\lambda\) | \(.38888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888889-.762440866I\) | \(-.287127832\) |
| \(\frac{ 4}{ 3}\) | \(\frac{ 5}{ 3}\) | \(-\frac{ 4}{ 9}\) | \(.38888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888889+.762440866I\) |
| \(-2\) | \(3\) | \(\frac{ 5}{ 3}\) | \(\frac{ 7}{ 4}-236\lambda\) |
| \(-4\) | \(-2\) | \(\frac{ 4}{ 3}\) | \(-\frac{ 1}{ 6}-I3^{ \frac{ 6}{ 7}}exp(-\frac{ 4}{ 35})\) |
copy data Basis of the Doran-Morgan lattice
| \(\frac{ 7}{ 6}-\frac{ 10413121032779260648346948458175935308908666354681396315952835358306843793103279948239733597798534695}{ 4552537122981102476060103483058775865936383743190033321979354230308802848949268282146611842149780696}I\) | \(\frac{ 5}{ 3}\) | \(\frac{ 1}{ 2}\) | \(1\) |
| \(-\frac{ 4}{ 3}\) | \(0\) | \(-1\) | \(0\) |
| \(2\) | \(-4\) | \(0\) | \(0\) |
| \(4\) | \(0\) | \(0\) | \(0\) |
copy data