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: | $4, 16, 17$ |
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.
4.18-5.0.3-6-6.6.1
(1,3,2) (4,6,5) (7,9,8) (10,12,11) (13,15,14) (16,18,17) | |
(1,18,5,10,9,14) (2,16,6,11,7,15) (3,17,4,12,8,13) | |
(1,15,8,10,6,17) (2,13,9,11,4,18) (3,14,7,12,5,16) |