Family Information
| Genus: | $15$ |
| Quotient genus: | $0$ |
| Group name: | $C_4:C_{12}$ |
| Group identifier: | $[48,22]$ |
| Signature: | $[ 0; 4, 12, 12 ]$ |
| Conjugacy classes for this refined passport: | $10, 20, 27$ |
| Jacobian variety group algebra decomposition: | $E\times E\times E\times A_{2}\times A_{2}\times A_{2}\times E^{2}\times A_{2}^{2}$ |
| Corresponding character(s): | $6, 8, 14, 17, 18, 25, 27, 28$ |
Other Data
| Hyperelliptic curve(s): | no |
| Cyclic trigonal curve(s): | no |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
15.48-22.0.4-12-12.14.1
| (1,26,2,25) (3,28,4,27) (5,30,6,29) (7,32,8,31) (9,34,10,33) (11,36,12,35) (13,40,14,39) (15,38,16,37) (17,44,18,43) (19,42,20,41) (21,48,22,47) (23,46,24,45) | |
| (1,21,7,15,9,17,3,23,5,13,11,19) (2,22,8,16,10,18,4,24,6,14,12,20) (25,45,31,39,33,41,27,47,29,37,35,43) (26,46,32,40,34,42,28,48,30,38,36,44) | |
| (1,41,10,38,5,45,2,42,9,37,6,46) (3,43,12,40,7,47,4,44,11,39,8,48) (13,29,22,26,17,33,14,30,21,25,18,34) (15,31,24,28,19,35,16,32,23,27,20,36) |