Family Information
| Genus: | $14$ |
| Quotient genus: | $0$ |
| Group name: | $D_{21}$ |
| Group identifier: | $[42,5]$ |
| Signature: | $[ 0; 2, 2, 3, 21 ]$ |
| Conjugacy classes for this refined passport: | $2, 2, 3, 11$ |
| Jacobian variety group algebra decomposition: | $E^{2}\times A_{6}^{2}$ |
| Corresponding character(s): | $3, 7$ |
Other Data
| Hyperelliptic curve(s): | no |
| Cyclic trigonal curve(s): | yes |
| Trigonal automorphism: | (1,8,15) (2,9,16) (3,10,17) (4,11,18) (5,12,19) (6,13,20) (7,14,21) (22,29,36) (23,30,37) (24,31,38) (25,32,39) (26,33,40) (27,34,41) (28,35,42) |
Generating vector(s)
Displaying 2 of 2 generating vectors for this refined passport.
14.42-5.0.2-2-3-21.5.1
| (1,22) (2,28) (3,27) (4,26) (5,25) (6,24) (7,23) (8,36) (9,42) (10,41) (11,40) (12,39) (13,38) (14,37) (15,29) (16,35) (17,34) (18,33) (19,32) (20,31) (21,30) | |
| (1,28) (2,27) (3,26) (4,25) (5,24) (6,23) (7,22) (8,42) (9,41) (10,40) (11,39) (12,38) (13,37) (14,36) (15,35) (16,34) (17,33) (18,32) (19,31) (20,30) (21,29) | |
| (1,8,15) (2,9,16) (3,10,17) (4,11,18) (5,12,19) (6,13,20) (7,14,21) (22,29,36) (23,30,37) (24,31,38) (25,32,39) (26,33,40) (27,34,41) (28,35,42) | |
| (1,16,10,4,19,13,7,15,9,3,18,12,6,21,8,2,17,11,5,20,14) (22,37,31,25,40,34,28,36,30,24,39,33,27,42,29,23,38,32,26,41,35) |
14.42-5.0.2-2-3-21.5.2
| (1,22) (2,28) (3,27) (4,26) (5,25) (6,24) (7,23) (8,36) (9,42) (10,41) (11,40) (12,39) (13,38) (14,37) (15,29) (16,35) (17,34) (18,33) (19,32) (20,31) (21,30) | |
| (1,42) (2,41) (3,40) (4,39) (5,38) (6,37) (7,36) (8,35) (9,34) (10,33) (11,32) (12,31) (13,30) (14,29) (15,28) (16,27) (17,26) (18,25) (19,24) (20,23) (21,22) | |
| (1,15,8) (2,16,9) (3,17,10) (4,18,11) (5,19,12) (6,20,13) (7,21,14) (22,36,29) (23,37,30) (24,38,31) (25,39,32) (26,40,33) (27,41,34) (28,42,35) | |
| (1,16,10,4,19,13,7,15,9,3,18,12,6,21,8,2,17,11,5,20,14) (22,37,31,25,40,34,28,36,30,24,39,33,27,42,29,23,38,32,26,41,35) |