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: | $9, 35, 38$ |
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): | $8, 9, 10, 11, 14$ |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
15.49-2.0.7-7-7.155.1
| (1,15,29,43,8,22,36) (2,16,30,44,9,23,37) (3,17,31,45,10,24,38) (4,18,32,46,11,25,39) (5,19,33,47,12,26,40) (6,20,34,48,13,27,41) (7,21,35,49,14,28,42) | |
| (1,31,12,42,16,46,27) (2,32,13,36,17,47,28) (3,33,14,37,18,48,22) (4,34,8,38,19,49,23) (5,35,9,39,20,43,24) (6,29,10,40,21,44,25) (7,30,11,41,15,45,26) | |
| (1,13,18,23,35,40,45) (2,14,19,24,29,41,46) (3,8,20,25,30,42,47) (4,9,21,26,31,36,48) (5,10,15,27,32,37,49) (6,11,16,28,33,38,43) (7,12,17,22,34,39,44) |