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: | $8, 16, 46$ |
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): | $8, 10, 11, 12, 13$ |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
15.49-2.0.7-7-7.129.1
| (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) | |
| (1,25,49,17,41,9,33) (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) | |
| (1,26,44,20,38,14,32) (2,27,45,21,39,8,33) (3,28,46,15,40,9,34) (4,22,47,16,41,10,35) (5,23,48,17,42,11,29) (6,24,49,18,36,12,30) (7,25,43,19,37,13,31) |