Family Information
Genus: | $6$ |
Quotient genus: | $0$ |
Group name: | $C_2\times C_6$ |
Group identifier: | $[12,5]$ |
Signature: | $[ 0; 2, 3, 6, 6 ]$ |
Conjugacy classes for this refined passport: | $3, 6, 8, 12$ |
Jacobian variety group algebra decomposition: | $E\times E\times A_{2}\times A_{2}$ |
Corresponding character(s): | $5, 6, 7, 8$ |
Other Data
Hyperelliptic curve(s): | no |
Cyclic trigonal curve(s): | yes |
Trigonal automorphism: | (1,2,3) (4,5,6) (7,8,9) (10,11,12) |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
6.12-5.0.2-3-6-6.4.1
(1,7) (2,8) (3,9) (4,10) (5,11) (6,12) | |
(1,3,2) (4,6,5) (7,9,8) (10,12,11) | |
(1,6,2,4,3,5) (7,12,8,10,9,11) | |
(1,12,2,10,3,11) (4,9,5,7,6,8) |