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: | $4, 20, 43$ |
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): | $2, 9, 10, 13, 14$ |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
15.49-2.0.7-7-7.54.1
| (1,4,7,3,6,2,5) (8,11,14,10,13,9,12) (15,18,21,17,20,16,19) (22,25,28,24,27,23,26) (29,32,35,31,34,30,33) (36,39,42,38,41,37,40) (43,46,49,45,48,44,47) | |
| (1,10,19,28,30,39,48) (2,11,20,22,31,40,49) (3,12,21,23,32,41,43) (4,13,15,24,33,42,44) (5,14,16,25,34,36,45) (6,8,17,26,35,37,46) (7,9,18,27,29,38,47) | |
| (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) |