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: | $2, 46, 51$ |
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.
15.60-4.0.2-60-60.2.1
| (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) | |
| (1,46,30,33,17,52,6,49,23,38,12,55,9,44,28,31,15,60,4,47,21,36,20,53,7,42,26,39,13,58,2,45,29,34,18,51,5,50,24,37,11,56,10,43,27,32,16,59,3,48,22,35,19,54,8,41,25,40,14,57) | |
| (1,58,14,39,25,42,8,53,19,36,22,47,3,60,16,31,27,44,10,55,11,38,24,49,5,52,18,33,29,46,2,57,13,40,26,41,7,54,20,35,21,48,4,59,15,32,28,43,9,56,12,37,23,50,6,51,17,34,30,45) |