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: | $4, 8, 31$ |
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.
15.49-2.0.7-7-7.43.1
| (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) | |
| (1,8,15,22,29,36,43) (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) | |
| (1,47,37,34,24,21,11) (2,48,38,35,25,15,12) (3,49,39,29,26,16,13) (4,43,40,30,27,17,14) (5,44,41,31,28,18,8) (6,45,42,32,22,19,9) (7,46,36,33,23,20,10) |