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: | $2, 4, 5, 7$ |
| 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: | (1,11,6) (2,12,7) (3,13,8) (4,14,9) (5,15,10) (16,26,21) (17,27,22) (18,28,23) (19,29,24) (20,30,25) |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
13.30-2.0.2-3-5-6.3.1
| (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) | |
| (1,11,6) (2,12,7) (3,13,8) (4,14,9) (5,15,10) (16,26,21) (17,27,22) (18,28,23) (19,29,24) (20,30,25) | |
| (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) | |
| (1,22,11,17,6,27) (2,21,12,16,7,26) (3,25,13,20,8,30) (4,24,14,19,9,29) (5,23,15,18,10,28) |