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: | $2, 47, 50$ |
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.
15.60-4.0.2-60-60.3.1
| (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) | |
| (1,54,16,37,29,42,4,55,17,40,22,43,5,58,20,31,23,46,8,59,11,34,26,47,9,52,14,35,27,50,2,53,15,38,30,41,3,56,18,39,21,44,6,57,19,32,24,45,7,60,12,33,25,48,10,51,13,36,28,49) | |
| (1,50,28,35,13,52,10,47,25,34,12,59,7,46,24,31,19,58,6,43,21,40,18,55,3,42,30,37,15,54,2,49,27,36,14,51,9,48,26,33,11,60,8,45,23,32,20,57,5,44,22,39,17,56,4,41,29,38,16,53) |