Family Information
| Genus: | $12$ |
| Quotient genus: | $0$ |
| Group name: | $C_{11}:C_5$ |
| Group identifier: | $[55,1]$ |
| Signature: | $[ 0; 5, 5, 5 ]$ |
| Conjugacy classes for this refined passport: | $4, 4, 5$ |
The full automorphism group for this family is $F_{11}$ with signature $[ 0; 2, 5, 10 ]$.
| Jacobian variety group algebra decomposition: | $A_{2}\times A_{2}^{5}$ |
| Corresponding character(s): | $2, 6$ |
Generating vector(s)
Displaying 2 of 2 generating vectors for this refined passport.
12.55-1.0.5-5-5.4.1
| (1,34,12,45,23) (2,43,16,48,28) (3,41,20,51,33) (4,39,13,54,27) (5,37,17,46,32) (6,35,21,49,26) (7,44,14,52,31) (8,42,18,55,25) (9,40,22,47,30) (10,38,15,50,24) (11,36,19,53,29) | |
| (1,37,20,54,30) (2,35,13,46,24) (3,44,17,49,29) (4,42,21,52,23) (5,40,14,55,28) (6,38,18,47,33) (7,36,22,50,27) (8,34,15,53,32) (9,43,19,45,26) (10,41,12,48,31) (11,39,16,51,25) | |
| (1,47,42,27,15) (2,50,40,32,19) (3,53,38,26,12) (4,45,36,31,16) (5,48,34,25,20) (6,51,43,30,13) (7,54,41,24,17) (8,46,39,29,21) (9,49,37,23,14) (10,52,35,28,18) (11,55,44,33,22) |
12.55-1.0.5-5-5.4.2
| (1,34,12,45,23) (2,43,16,48,28) (3,41,20,51,33) (4,39,13,54,27) (5,37,17,46,32) (6,35,21,49,26) (7,44,14,52,31) (8,42,18,55,25) (9,40,22,47,30) (10,38,15,50,24) (11,36,19,53,29) | |
| (1,40,17,52,26) (2,38,21,55,31) (3,36,14,47,25) (4,34,18,50,30) (5,43,22,53,24) (6,41,15,45,29) (7,39,19,48,23) (8,37,12,51,28) (9,35,16,54,33) (10,44,20,46,27) (11,42,13,49,32) | |
| (1,49,39,31,18) (2,52,37,25,22) (3,55,35,30,15) (4,47,44,24,19) (5,50,42,29,12) (6,53,40,23,16) (7,45,38,28,20) (8,48,36,33,13) (9,51,34,27,17) (10,54,43,32,21) (11,46,41,26,14) |