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: | $16, 22, 38$ |
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): | $2, 8, 9, 10, 13$ |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
15.49-2.0.7-7-7.238.1
| (1,25,49,17,41,9,33) (2,26,43,18,42,10,34) (3,27,44,19,36,11,35) (4,28,45,20,37,12,29) (5,22,46,21,38,13,30) (6,23,47,15,39,14,31) (7,24,48,16,40,8,32) | |
| (1,28,48,19,39,10,30) (2,22,49,20,40,11,31) (3,23,43,21,41,12,32) (4,24,44,15,42,13,33) (5,25,45,16,36,14,34) (6,26,46,17,37,8,35) (7,27,47,18,38,9,29) | |
| (1,13,18,23,35,40,45) (2,14,19,24,29,41,46) (3,8,20,25,30,42,47) (4,9,21,26,31,36,48) (5,10,15,27,32,37,49) (6,11,16,28,33,38,43) (7,12,17,22,34,39,44) |