Family Information
Genus: | $8$ |
Quotient genus: | $0$ |
Group name: | $C_2\times C_6$ |
Group identifier: | $[12,5]$ |
Signature: | $[ 0; 2, 2, 3, 3, 6 ]$ |
Conjugacy classes for this refined passport: | $2, 4, 5, 5, 9$ |
Jacobian variety group algebra decomposition: | $E\times A_{2}\times A_{2}\times A_{3}$ |
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.
8.12-5.0.2-2-3-3-6.3.1
(1,4) (2,5) (3,6) (7,10) (8,11) (9,12) | |
(1,10) (2,11) (3,12) (4,7) (5,8) (6,9) | |
(1,2,3) (4,5,6) (7,8,9) (10,11,12) | |
(1,2,3) (4,5,6) (7,8,9) (10,11,12) | |
(1,8,3,7,2,9) (4,11,6,10,5,12) |