Family Information
| Genus: | $15$ |
| Quotient genus: | $0$ |
| Group name: | $C_{60}$ |
| Group identifier: | $[60,4]$ |
| Signature: | $[ 0; 2, 60, 60 ]$ |
| Conjugacy classes for this refined passport: | $2, 56, 57$ |
The full automorphism group for this family is $C_4\times D_{15}$ with signature $[ 0; 2, 4, 60 ]$.
| Jacobian variety group algebra decomposition: | $E\times A_{2}\times A_{4}\times A_{8}$ |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
15.60-4.0.2-60-60.8.1
| (1,2) (3,4) (5,6) (7,8) (9,10) (11,12) (13,14) (15,16) (17,18) (19,20) (21,22) (23,24) (25,26) (27,28) (29,30) (31,32) (33,34) (35,36) (37,38) (39,40) (41,42) (43,44) (45,46) (47,48) (49,50) (51,52) (53,54) (55,56) (57,58) (59,60) | |
| (1,48,24,39,15,52,8,43,29,36,12,57,3,50,26,31,17,54,10,45,21,38,14,59,5,42,28,33,19,56,2,47,23,40,16,51,7,44,30,35,11,58,4,49,25,32,18,53,9,46,22,37,13,60,6,41,27,34,20,55) | |
| (1,56,20,33,27,42,6,59,13,38,22,45,9,54,18,31,25,50,4,57,11,36,30,43,7,52,16,39,23,48,2,55,19,34,28,41,5,60,14,37,21,46,10,53,17,32,26,49,3,58,12,35,29,44,8,51,15,40,24,47) |