New Number: 2.27 | AESZ: 140 | Superseeker: 108 -4945756 | Hash: 74692097f8183c067c2c4b1a5c93387b
Degree: 2
\(\theta^4-2^{2} 3 x(6\theta+1)(6\theta+5)(17\theta^2+17\theta+6)+2^{7} 3^{4} x^{2}(6\theta+1)(6\theta+5)(6\theta+7)(6\theta+11)\)
Maple LaTex Coefficients of the holomorphic solution: 1, 360, 582120, 1274232960, 3204505984680, ... --> OEIS Normalized instanton numbers (n0=1): 108, 54135, -4945756, 7925523138, -2434666062240, ... ; Common denominator:...
Discriminant
\((3888z-1)(3456z-1)\)
Local exponents
Note:
Hadamard product $D \ast g$
Integral instantons: ,...
Coefficients of the Yukawa coupling: 1, 108, 433188, -133535304, 507233914020, -304333257779892, 779849213089638888, -601327421803231002072,...
Coefficients of the q-coordinate : 0, 1, -2172, 3924702, -6580766128, 10592280086829, -16628695641496008, 25659158141952015890,...
| 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 \(1.+3.275911176I\) | \(0\) | \(1.501459289I\) | \(.894299503\) |
\(\frac{ 11}{ 2}\) | \(1\) | \(\frac{ 121}{ 48}\) | \(-1.501459289I\) |
\(0\) | \(0\) | \(1\) | \(0\) |
\(12\) | \(0\) | \(\frac{ 11}{ 2}\) | \(1.-3.275911176I\) |
copy data \(-5.088262696-2.403669772I\) | \(-9.231233148+8.267057761I\) | \(6.171205313+7.544982974I\) | \(3.227450678-3.068539845I\) |
\(-6.270037138+8.225054977I\) | \(9.605336680+17.587574161I\) | \(14.123297626-6.142790642I\) | \(-3.279565479-6.225556868I\) |
\(-2.195545276+2.457029703I\) | \(2.297135143+5.799775915I\) | \(5.638341607-1.600871223I\) | \(-.887292619-2.058764958I\) |
\(-13.680081028+17.945574495I\) | \(18.775280028+38.372889078I\) | \(30.814467548-13.402452309I\) | \(-6.155415591-13.583033166I\) |
copy data Basis of the Doran-Morgan lattice
\(-\frac{ 409488897}{ 125000000}I\) | \(\frac{ 15}{ 2}\) | \(1\) | \(1\) |
\(-\frac{ 11}{ 2}\) | \(-6\) | \(-1\) | \(0\) |
\(0\) | \(12\) | \(0\) | \(0\) |
\(-12\) | \(0\) | \(0\) | \(0\) |
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