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: | $5, 8, 37$ |
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): | $9, 10, 11, 12, 14$ |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
15.49-2.0.7-7-7.64.1
| (1,5,2,6,3,7,4) (8,12,9,13,10,14,11) (15,19,16,20,17,21,18) (22,26,23,27,24,28,25) (29,33,30,34,31,35,32) (36,40,37,41,38,42,39) (43,47,44,48,45,49,46) | |
| (1,8,15,22,29,36,43) (2,9,16,23,30,37,44) (3,10,17,24,31,38,45) (4,11,18,25,32,39,46) (5,12,19,26,33,40,47) (6,13,20,27,34,41,48) (7,14,21,28,35,42,49) | |
| (1,46,42,31,27,16,12) (2,47,36,32,28,17,13) (3,48,37,33,22,18,14) (4,49,38,34,23,19,8) (5,43,39,35,24,20,9) (6,44,40,29,25,21,10) (7,45,41,30,26,15,11) |