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: | $16, 20, 28$ |
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): | $2, 8, 9, 12, 13$ |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
15.49-2.0.7-7-7.237.1
| (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) | |
| (1,10,19,28,30,39,48) (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) | |
| (1,24,47,21,37,11,34) (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) |