Family Information
| Genus: | $13$ |
| Quotient genus: | $0$ |
| Group name: | $C_3\times D_5$ |
| Group identifier: | $[30,2]$ |
| Signature: | $[ 0; 2, 3, 5, 6 ]$ |
| Conjugacy classes for this refined passport: | $2, 3, 6, 8$ |
| Jacobian variety group algebra decomposition: | $E\times A_{6}^{2}$ |
| Corresponding character(s): | $5, 9$ |
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) (16,21,26) (17,22,27) (18,23,28) (19,24,29) (20,25,30) |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
13.30-2.0.2-3-5-6.2.1
| (1,16) (2,20) (3,19) (4,18) (5,17) (6,21) (7,25) (8,24) (9,23) (10,22) (11,26) (12,30) (13,29) (14,28) (15,27) | |
| (1,6,11) (2,7,12) (3,8,13) (4,9,14) (5,10,15) (16,21,26) (17,22,27) (18,23,28) (19,24,29) (20,25,30) | |
| (1,3,5,2,4) (6,8,10,7,9) (11,13,15,12,14) (16,18,20,17,19) (21,23,25,22,24) (26,28,30,27,29) | |
| (1,28,6,18,11,23) (2,27,7,17,12,22) (3,26,8,16,13,21) (4,30,9,20,14,25) (5,29,10,19,15,24) |