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: | $18, 29, 42$ |
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): | $2, 8, 9, 11, 13$ |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
15.49-2.0.7-7-7.262.1
| (1,41,25,9,49,33,17) (2,42,26,10,43,34,18) (3,36,27,11,44,35,19) (4,37,28,12,45,29,20) (5,38,22,13,46,30,21) (6,39,23,14,47,31,15) (7,40,24,8,48,32,16) | |
| (1,34,11,37,21,47,24) (2,35,12,38,15,48,25) (3,29,13,39,16,49,26) (4,30,14,40,17,43,27) (5,31,8,41,18,44,28) (6,32,9,42,19,45,22) (7,33,10,36,20,46,23) | |
| (1,40,23,13,45,35,18) (2,41,24,14,46,29,19) (3,42,25,8,47,30,20) (4,36,26,9,48,31,21) (5,37,27,10,49,32,15) (6,38,28,11,43,33,16) (7,39,22,12,44,34,17) |