Family Information
| Genus: | $15$ |
| Quotient genus: | $0$ |
| Group name: | $C_{15}:C_4$ |
| Group identifier: | $[60,3]$ |
| Signature: | $[ 0; 4, 4, 30 ]$ |
| Conjugacy classes for this refined passport: | $5, 5, 18$ |
The full automorphism group for this family is $C_4\times D_{15}$ with signature $[ 0; 2, 4, 60 ]$.
| Jacobian variety group algebra decomposition: | $E\times A_{2}\times A_{4}\times A_{8}$ |
| Corresponding character(s): | $3, 5, 9, 11$ |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
15.60-3.0.4-4-30.8.1
| (1,46,16,31) (2,50,17,35) (3,49,18,34) (4,48,19,33) (5,47,20,32) (6,56,21,41) (7,60,22,45) (8,59,23,44) (9,58,24,43) (10,57,25,42) (11,51,26,36) (12,55,27,40) (13,54,28,39) (14,53,29,38) (15,52,30,37) | |
| (1,58,16,43) (2,57,17,42) (3,56,18,41) (4,60,19,45) (5,59,20,44) (6,53,21,38) (7,52,22,37) (8,51,23,36) (9,55,24,40) (10,54,25,39) (11,48,26,33) (12,47,27,32) (13,46,28,31) (14,50,29,35) (15,49,30,34) | |
| (1,24,12,20,8,26,4,22,15,18,6,29,2,25,13,16,9,27,5,23,11,19,7,30,3,21,14,17,10,28) (31,54,42,50,38,56,34,52,45,48,36,59,32,55,43,46,39,57,35,53,41,49,37,60,33,51,44,47,40,58) |