Family Information
Genus: | $13$ |
Quotient genus: | $0$ |
Group name: | $C_{15}$ |
Group identifier: | $[15,1]$ |
Signature: | $[ 0; 3, 3, 3, 5, 5 ]$ |
Conjugacy classes for this refined passport: | $3, 3, 3, 5, 6$ |
Jacobian variety group algebra decomposition: | $E\times A_{12}$ |
Other Data
Hyperelliptic curve(s): | no |
Cyclic trigonal curve(s): | yes |
Trigonal automorphism: | (1,11,6) (2,12,7) (3,13,8) (4,14,9) (5,15,10) |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
13.15-1.0.3-3-3-5-5.4.1
(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) | |
(1,11,6) (2,12,7) (3,13,8) (4,14,9) (5,15,10) | |
(1,3,5,2,4) (6,8,10,7,9) (11,13,15,12,14) | |
(1,4,2,5,3) (6,9,7,10,8) (11,14,12,15,13) |