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: | $3, 26, 43$ |
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): | $2, 9, 11, 13, 14$ |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
15.49-2.0.7-7-7.37.1
| (1,3,5,7,2,4,6) (8,10,12,14,9,11,13) (15,17,19,21,16,18,20) (22,24,26,28,23,25,27) (29,31,33,35,30,32,34) (36,38,40,42,37,39,41) (43,45,47,49,44,46,48) | |
| (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) | |
| (1,45,40,35,23,18,13) (2,46,41,29,24,19,14) (3,47,42,30,25,20,8) (4,48,36,31,26,21,9) (5,49,37,32,27,15,10) (6,43,38,33,28,16,11) (7,44,39,34,22,17,12) |