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: | $7, 38, 47$ |
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): | $5, 6, 10, 21, 22, 23, 24, 25, 26, 27$ |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
15.48-20.0.4-12-12.6.1
| (1,13,2,14) (3,15,4,16) (5,17,6,18) (7,19,8,20) (9,21,10,22) (11,23,12,24) (25,37,26,38) (27,39,28,40) (29,41,30,42) (31,43,32,44) (33,45,34,46) (35,47,36,48) | |
| (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) | |
| (1,43,12,38,5,47,4,42,9,39,8,46) (2,44,11,37,6,48,3,41,10,40,7,45) (13,32,24,25,17,36,16,29,21,28,20,33) (14,31,23,26,18,35,15,30,22,27,19,34) |