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: | $7, 15, 36$ |
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): | $2, 9, 10, 11, 12$ |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
15.49-2.0.7-7-7.112.1
| (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) | |
| (1,17,33,49,9,25,41) (2,18,34,43,10,26,42) (3,19,35,44,11,27,36) (4,20,29,45,12,28,37) (5,21,30,46,13,22,38) (6,15,31,47,14,23,39) (7,16,32,48,8,24,40) | |
| (1,42,27,12,46,31,16) (2,36,28,13,47,32,17) (3,37,22,14,48,33,18) (4,38,23,8,49,34,19) (5,39,24,9,43,35,20) (6,40,25,10,44,29,21) (7,41,26,11,45,30,15) |