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: | $2, 3, 5, 8$ |
| 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.
13.30-2.0.2-3-5-6.1.1
| (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) | |
| (1,2,3,4,5) (6,7,8,9,10) (11,12,13,14,15) (16,17,18,19,20) (21,22,23,24,25) (26,27,28,29,30) | |
| (1,27,6,17,11,22) (2,26,7,16,12,21) (3,30,8,20,13,25) (4,29,9,19,14,24) (5,28,10,18,15,23) |