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: | $11, 31, 47$ |
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): | $8, 11, 12, 13, 14$ |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
15.49-2.0.7-7-7.183.1
| (1,29,8,36,15,43,22) (2,30,9,37,16,44,23) (3,31,10,38,17,45,24) (4,32,11,39,18,46,25) (5,33,12,40,19,47,26) (6,34,13,41,20,48,27) (7,35,14,42,21,49,28) | |
| (1,47,37,34,24,21,11) (2,48,38,35,25,15,12) (3,49,39,29,26,16,13) (4,43,40,30,27,17,14) (5,44,41,31,28,18,8) (6,45,42,32,22,19,9) (7,46,36,33,23,20,10) | |
| (1,32,14,38,20,44,26) (2,33,8,39,21,45,27) (3,34,9,40,15,46,28) (4,35,10,41,16,47,22) (5,29,11,42,17,48,23) (6,30,12,36,18,49,24) (7,31,13,37,19,43,25) |