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: | $26, 41, 45$ |
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): | $2, 8, 11, 13, 14$ |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
15.49-2.0.7-7-7.315.1
| (1,11,21,24,34,37,47) (2,12,15,25,35,38,48) (3,13,16,26,29,39,49) (4,14,17,27,30,40,43) (5,8,18,28,31,41,44) (6,9,19,22,32,42,45) (7,10,20,23,33,36,46) | |
| (1,35,13,40,18,45,23) (2,29,14,41,19,46,24) (3,30,8,42,20,47,25) (4,31,9,36,21,48,26) (5,32,10,37,15,49,27) (6,33,11,38,16,43,28) (7,34,12,39,17,44,22) | |
| (1,20,32,44,14,26,38) (2,21,33,45,8,27,39) (3,15,34,46,9,28,40) (4,16,35,47,10,22,41) (5,17,29,48,11,23,42) (6,18,30,49,12,24,36) (7,19,31,43,13,25,37) |