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: | $22, 26, 34$ |
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): | $2, 8, 9, 12, 14$ |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
15.49-2.0.7-7-7.289.1
| (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) | |
| (1,11,21,24,34,37,47) (2,12,15,25,35,38,48) (3,13,16,26,29,39,49) (4,14,17,27,30,40,43) (5,8,18,28,31,41,44) (6,9,19,22,32,42,45) (7,10,20,23,33,36,46) | |
| (1,27,46,16,42,12,31) (2,28,47,17,36,13,32) (3,22,48,18,37,14,33) (4,23,49,19,38,8,34) (5,24,43,20,39,9,35) (6,25,44,21,40,10,29) (7,26,45,15,41,11,30) |