Family Information
| Genus: | $15$ |
| Quotient genus: | $0$ |
| Group name: | $C_4\times C_{12}$ |
| Group identifier: | $[48,20]$ |
| Signature: | $[ 0; 4, 12, 12 ]$ |
| Conjugacy classes for this refined passport: | $8, 38, 43$ |
The full automorphism group for this family is $D_{12}:C_4$ with signature $[ 0; 2, 8, 12 ]$.
| Jacobian variety group algebra decomposition: | $E\times E\times E\times A_{2}\times A_{2}\times A_{2}\times A_{2}\times E\times A_{2}\times E$ |
| Corresponding character(s): | $6, 7, 10, 21, 22, 23, 24, 25, 26, 27$ |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
15.48-20.0.4-12-12.14.1
| (1,14,2,13) (3,16,4,15) (5,18,6,17) (7,20,8,19) (9,22,10,21) (11,24,12,23) (25,38,26,37) (27,40,28,39) (29,42,30,41) (31,44,32,43) (33,46,34,45) (35,48,36,47) | |
| (1,34,7,28,9,30,3,36,5,26,11,32) (2,33,8,27,10,29,4,35,6,25,12,31) (13,46,19,40,21,42,15,48,17,38,23,44) (14,45,20,39,22,41,16,47,18,37,24,43) | |
| (1,44,12,37,5,48,4,41,9,40,8,45) (2,43,11,38,6,47,3,42,10,39,7,46) (13,31,24,26,17,35,16,30,21,27,20,34) (14,32,23,25,18,36,15,29,22,28,19,33) |