New Number: 2.26 | AESZ: 139 | Superseeker: 44 22500 | Hash: f5d9215987323abcff6ed8709927af5d
Degree: 2
\(\theta^4-2^{2} x(4\theta+1)(4\theta+3)(17\theta^2+17\theta+6)+2^{7} 3^{2} x^{2}(4\theta+1)(4\theta+3)(4\theta+5)(4\theta+7)\)
Maple LaTex Coefficients of the holomorphic solution: 1, 72, 17640, 5765760, 2156754600, ... --> OEIS Normalized instanton numbers (n0=1): 44, 607, 22500, 1444678, 128626784, ... ; Common denominator:...
Discriminant
\((576z-1)(512z-1)\)
Local exponents
Note:
Hadamard product $C \ast g$
Integral instantons: ,...
Coefficients of the Yukawa coupling: 1, 44, 4900, 607544, 92464292, 16078348044, 2909502853096, 522327541415080,...
Coefficients of the q-coordinate : 0, 1, -300, 70878, -15057904, 3009908013, -579157118568, 108444942299154,...
| 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 \(1+344\lambda\) | \(0\) | \(\frac{ 215}{ 3}\lambda\) | \(.115791449\) |
\(5\) | \(1\) | \(\frac{ 25}{ 24}\) | \(-\frac{ 215}{ 3}\lambda\) |
\(0\) | \(0\) | \(1\) | \(0\) |
\(24\) | \(0\) | \(5\) | \(1-344\lambda\) |
copy data \(-1.363320470+.333408287I\) | \(-2.378556075+\frac{ 1}{ 4}I2^{ \frac{ 1}{ 4}}Pi^{ \frac{ 3}{ 2}}ln(2)^(\frac{ 7}{ 4})\) | \(1.952097134+1.450430332I\) | \(.352541506-.730455452I\) |
\(-2.231842169+5.463251200I\) | \(4.752377305+8.996899861I\) | \(5.529765042-2.362775601I\) | \(-1.121053097-1.662936757I\) |
\(-1.857729799+3.694349576I\) | \(2.129374012+I7^{ \frac{ 7}{ 8}}ln(2)^{ \frac{ 1}{ 2}}ln(3)^(\frac{ 1}{ 6})\) | \(4.991998028-1.348211717I\) | \(-.692201690-1.222934527I\) |
\(-10.712842412+26.223605760I\) | \(18.011411066+43.185119335I\) | \(26.542872203-11.341322886I\) | \(-4.381054863-7.982096432I\) |
copy data Basis of the Doran-Morgan lattice
\(-344\lambda\) | \(9\) | \(1\) | \(1\) |
\(-5\) | \(-12\) | \(-1\) | \(0\) |
\(0\) | \(24\) | \(0\) | \(0\) |
\(-24\) | \(0\) | \(0\) | \(0\) |
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