Family Information
Genus: | $9$ |
Quotient genus: | $0$ |
Group name: | $C_{15}$ |
Group identifier: | $[15,1]$ |
Signature: | $[ 0; 3, 3, 5, 15 ]$ |
Conjugacy classes for this refined passport: | $3, 3, 6, 9$ |
Jacobian variety group algebra decomposition: | $E\times A_{8}$ |
Other Data
Hyperelliptic curve(s): | no |
Cyclic trigonal curve(s): | yes |
Trigonal automorphism: | (1,6,11) (2,7,12) (3,8,13) (4,9,14) (5,10,15) |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
9.15-1.0.3-3-5-15.7.1
(1,11,6) (2,12,7) (3,13,8) (4,14,9) (5,15,10) | |
(1,11,6) (2,12,7) (3,13,8) (4,14,9) (5,15,10) | |
(1,4,2,5,3) (6,9,7,10,8) (11,14,12,15,13) | |
(1,13,10,2,14,6,3,15,7,4,11,8,5,12,9) |