Family Information
Genus: | $4$ |
Quotient genus: | $0$ |
Group name: | $C_3\times S_3$ |
Group identifier: | $[18,3]$ |
Signature: | $[ 0; 3, 6, 6 ]$ |
Conjugacy classes for this refined passport: | $6, 8, 8$ |
The full automorphism group for this family is $C_6\times S_3$ with signature $[ 0; 2, 6, 6 ]$.
Jacobian variety group algebra decomposition: | $E\times E\times E^{2}$ |
Corresponding character(s): | $3, 4, 8$ |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
4.18-3.0.3-6-6.2.1
(1,5,9) (2,6,7) (3,4,8) (10,14,18) (11,15,16) (12,13,17) | |
(1,13,7,10,4,16) (2,15,8,12,5,18) (3,14,9,11,6,17) | |
(1,15,7,12,4,18) (2,14,8,11,5,17) (3,13,9,10,6,16) |