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: | $6, 11, 28$ |
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): | $9, 11, 12, 13, 14$ |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
15.49-2.0.7-7-7.88.1
| (1,6,4,2,7,5,3) (8,13,11,9,14,12,10) (15,20,18,16,21,19,17) (22,27,25,23,28,26,24) (29,34,32,30,35,33,31) (36,41,39,37,42,40,38) (43,48,46,44,49,47,45) | |
| (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) | |
| (1,24,47,21,37,11,34) (2,25,48,15,38,12,35) (3,26,49,16,39,13,29) (4,27,43,17,40,14,30) (5,28,44,18,41,8,31) (6,22,45,19,42,9,32) (7,23,46,20,36,10,33) |