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: | $10, 37, 46$ |
The full automorphism group for this family is $D_{12}:C_4$ with signature $[ 0; 2, 8, 12 ]$.
| Jacobian variety group algebra decomposition: | $E\times E\times E\times A_{2}\times A_{2}\times A_{2}\times A_{2}\times A_{2}\times E\times E$ |
| Corresponding character(s): | $2, 5, 6, 18, 21, 22, 23, 24, 25, 27$ |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
15.48-20.0.4-12-12.29.1
| (1,16,2,15) (3,14,4,13) (5,20,6,19) (7,18,8,17) (9,24,10,23) (11,22,12,21) (25,40,26,39) (27,38,28,37) (29,44,30,43) (31,42,32,41) (33,48,34,47) (35,46,36,45) | |
| (1,30,11,28,5,34,3,32,9,26,7,36) (2,29,12,27,6,33,4,31,10,25,8,35) (13,42,23,40,17,46,15,44,21,38,19,48) (14,41,24,39,18,45,16,43,22,37,20,47) | |
| (1,46,8,39,9,42,4,47,5,38,12,43) (2,45,7,40,10,41,3,48,6,37,11,44) (13,33,20,28,21,29,16,36,17,25,24,32) (14,34,19,27,22,30,15,35,18,26,23,31) |