Family Information
| Genus: | $13$ |
| Quotient genus: | $0$ |
| Group name: | $C_3\times S_3$ |
| Group identifier: | $[18,3]$ |
| Signature: | $[ 0; 2, 3, 3, 3, 6 ]$ |
| Conjugacy classes for this refined passport: | $2, 6, 7, 7, 8$ |
| Jacobian variety group algebra decomposition: | $A_{2}\times A_{3}\times A_{2}^{2}\times A_{2}^{2}$ |
| Corresponding character(s): | $3, 4, 7, 8$ |
Other Data
| Hyperelliptic curve(s): | no |
| Cyclic trigonal curve(s): | no |
Generating vector(s)
Displaying 4 of 4 generating vectors for this refined passport.
13.18-3.0.2-3-3-3-6.20.1
| (1,10) (2,12) (3,11) (4,13) (5,15) (6,14) (7,16) (8,18) (9,17) | |
| (1,5,9) (2,6,7) (3,4,8) (10,14,18) (11,15,16) (12,13,17) | |
| (1,9,5) (2,7,6) (3,8,4) (10,18,14) (11,16,15) (12,17,13) | |
| (1,9,5) (2,7,6) (3,8,4) (10,18,14) (11,16,15) (12,17,13) | |
| (1,15,7,12,4,18) (2,14,8,11,5,17) (3,13,9,10,6,16) |
13.18-3.0.2-3-3-3-6.20.2
| (1,10) (2,12) (3,11) (4,13) (5,15) (6,14) (7,16) (8,18) (9,17) | |
| (1,5,9) (2,6,7) (3,4,8) (10,14,18) (11,15,16) (12,13,17) | |
| (1,9,5) (2,7,6) (3,8,4) (10,18,14) (11,16,15) (12,17,13) | |
| (1,8,6) (2,9,4) (3,7,5) (10,17,15) (11,18,13) (12,16,14) | |
| (1,14,7,11,4,17) (2,13,8,10,5,16) (3,15,9,12,6,18) |
13.18-3.0.2-3-3-3-6.20.3
| (1,10) (2,12) (3,11) (4,13) (5,15) (6,14) (7,16) (8,18) (9,17) | |
| (1,5,9) (2,6,7) (3,4,8) (10,14,18) (11,15,16) (12,13,17) | |
| (1,8,6) (2,9,4) (3,7,5) (10,17,15) (11,18,13) (12,16,14) | |
| (1,9,5) (2,7,6) (3,8,4) (10,18,14) (11,16,15) (12,17,13) | |
| (1,14,7,11,4,17) (2,13,8,10,5,16) (3,15,9,12,6,18) |
13.18-3.0.2-3-3-3-6.20.4
| (1,10) (2,12) (3,11) (4,13) (5,15) (6,14) (7,16) (8,18) (9,17) | |
| (1,5,9) (2,6,7) (3,4,8) (10,14,18) (11,15,16) (12,13,17) | |
| (1,8,6) (2,9,4) (3,7,5) (10,17,15) (11,18,13) (12,16,14) | |
| (1,8,6) (2,9,4) (3,7,5) (10,17,15) (11,18,13) (12,16,14) | |
| (1,13,7,10,4,16) (2,15,8,12,5,18) (3,14,9,11,6,17) |