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: | $2, 14, 25$ |
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): | $2, 9, 10, 12, 13$ |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
15.49-2.0.7-7-7.7.1
| (1,2,3,4,5,6,7) (8,9,10,11,12,13,14) (15,16,17,18,19,20,21) (22,23,24,25,26,27,28) (29,30,31,32,33,34,35) (36,37,38,39,40,41,42) (43,44,45,46,47,48,49) | |
| (1,9,17,25,33,41,49) (2,10,18,26,34,42,43) (3,11,19,27,35,36,44) (4,12,20,28,29,37,45) (5,13,21,22,30,38,46) (6,14,15,23,31,39,47) (7,8,16,24,32,40,48) | |
| (1,48,39,30,28,19,10) (2,49,40,31,22,20,11) (3,43,41,32,23,21,12) (4,44,42,33,24,15,13) (5,45,36,34,25,16,14) (6,46,37,35,26,17,8) (7,47,38,29,27,18,9) |