Family Information
| Genus: | $15$ |
| Quotient genus: | $0$ |
| Group name: | $C_7^2$ |
| Group identifier: | $[49,2]$ |
| Signature: | $[ 0; 7, 7, 7 ]$ |
| Conjugacy classes for this refined passport: | $7, 27, 48$ |
The full automorphism group for this family is $C_7^2:S_3$ with signature $[ 0; 2, 3, 14 ]$.
| Jacobian variety group algebra decomposition: | $A_{3}\times A_{3}\times A_{3}\times A_{3}\times A_{3}$ |
| Corresponding character(s): | $2, 11, 12, 13, 14$ |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
15.49-2.0.7-7-7.121.1
| (1,7,6,5,4,3,2) (8,14,13,12,11,10,9) (15,21,20,19,18,17,16) (22,28,27,26,25,24,23) (29,35,34,33,32,31,30) (36,42,41,40,39,38,37) (43,49,48,47,46,45,44) | |
| (1,21,34,47,11,24,37) (2,15,35,48,12,25,38) (3,16,29,49,13,26,39) (4,17,30,43,14,27,40) (5,18,31,44,8,28,41) (6,19,32,45,9,22,42) (7,20,33,46,10,23,36) | |
| (1,38,26,14,44,32,20) (2,39,27,8,45,33,21) (3,40,28,9,46,34,15) (4,41,22,10,47,35,16) (5,42,23,11,48,29,17) (6,36,24,12,49,30,18) (7,37,25,13,43,31,19) |