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: | $11, 21, 26$ |
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): | $8, 9, 12, 13, 14$ |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
15.49-2.0.7-7-7.178.1
| (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) | |
| (1,19,30,48,10,28,39) (2,20,31,49,11,22,40) (3,21,32,43,12,23,41) (4,15,33,44,13,24,42) (5,16,34,45,14,25,36) (6,17,35,46,8,26,37) (7,18,29,47,9,27,38) | |
| (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) |