Family Information
Genus: | $15$ |
Quotient genus: | $0$ |
Group name: | $C_2\times C_4$ |
Group identifier: | $[8,2]$ |
Signature: | $[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 4, 4 ]$ |
Conjugacy classes for this refined passport: | $2, 2, 2, 2, 2, 2, 2, 4, 5, 8$ |
Jacobian variety group algebra decomposition: | $A_{8}\times A_{7}$ |
Corresponding character(s): | $3, 4$ |
Other Data
Hyperelliptic curve(s): | yes |
Hyperelliptic involution: | (1,2) (3,4) (5,6) (7,8) |
Cyclic trigonal curve(s): | no |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
15.8-2.0.2-2-2-2-2-2-2-2-4-4.3.1
(1,2) (3,4) (5,6) (7,8) | |
(1,2) (3,4) (5,6) (7,8) | |
(1,2) (3,4) (5,6) (7,8) | |
(1,2) (3,4) (5,6) (7,8) | |
(1,2) (3,4) (5,6) (7,8) | |
(1,2) (3,4) (5,6) (7,8) | |
(1,2) (3,4) (5,6) (7,8) | |
(1,4) (2,3) (5,8) (6,7) | |
(1,5,2,6) (3,7,4,8) | |
(1,8,2,7) (3,6,4,5) |