Family Information
Genus: | $4$ |
Quotient genus: | $0$ |
Group name: | $C_3\times C_6$ |
Group identifier: | $[18,5]$ |
Signature: | $[ 0; 3, 6, 6 ]$ |
Conjugacy classes for this refined passport: | $4, 13, 18$ |
The full automorphism group for this family is $C_6\times S_3$ with signature $[ 0; 2, 6, 6 ]$.
Jacobian variety group algebra decomposition: | $E\times E\times E\times E$ |
Corresponding character(s): | $4, 10, 11, 12$ |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
4.18-5.0.3-6-6.4.1
(1,3,2) (4,6,5) (7,9,8) (10,12,11) (13,15,14) (16,18,17) | |
(1,13,7,10,4,16) (2,14,8,11,5,17) (3,15,9,12,6,18) | |
(1,17,6,10,8,15) (2,18,4,11,9,13) (3,16,5,12,7,14) |