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: | $17, 30, 48$ |
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): | $2, 8, 11, 12, 13$ |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
15.49-2.0.7-7-7.252.1
| (1,33,9,41,17,49,25) (2,34,10,42,18,43,26) (3,35,11,36,19,44,27) (4,29,12,37,20,45,28) (5,30,13,38,21,46,22) (6,31,14,39,15,47,23) (7,32,8,40,16,48,24) | |
| (1,37,24,11,47,34,21) (2,38,25,12,48,35,15) (3,39,26,13,49,29,16) (4,40,27,14,43,30,17) (5,41,28,8,44,31,18) (6,42,22,9,45,32,19) (7,36,23,10,46,33,20) | |
| (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) |