Family Information
| Genus: | $15$ |
| Quotient genus: | $0$ |
| Group name: | $C_3:\OD_{16}$ |
| Group identifier: | $[48,10]$ |
| Signature: | $[ 0; 6, 8, 8 ]$ |
| Conjugacy classes for this refined passport: | $10, 11, 14$ |
The full automorphism group for this family is $D_{12}:C_4$ with signature $[ 0; 2, 8, 12 ]$.
| Jacobian variety group algebra decomposition: | $E\times A_{2}\times A_{2}\times E^{2}\times A_{4}^{2}$ |
| Corresponding character(s): | $6, 9, 11, 13, 15$ |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
15.48-10.0.6-8-8.3.1
| (1,15,2,13,3,14) (4,18,5,16,6,17) (7,21,8,19,9,20) (10,24,11,22,12,23) (25,39,26,37,27,38) (28,42,29,40,30,41) (31,45,32,43,33,44) (34,48,35,46,36,47) | |
| (1,25,7,31,4,28,10,34) (2,27,8,33,5,30,11,36) (3,26,9,32,6,29,12,35) (13,40,19,46,16,37,22,43) (14,42,20,48,17,39,23,45) (15,41,21,47,18,38,24,44) | |
| (1,47,7,38,4,44,10,41) (2,46,8,37,5,43,11,40) (3,48,9,39,6,45,12,42) (13,32,19,29,16,35,22,26) (14,31,20,28,17,34,23,25) (15,33,21,30,18,36,24,27) |