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: | $2, 55, 58$ |
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.
15.60-4.0.2-60-60.7.1
| (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) | |
| (1,53,16,38,29,41,4,56,17,39,22,44,5,57,20,32,23,45,8,60,11,33,26,48,9,51,14,36,27,49,2,54,15,37,30,42,3,55,18,40,21,43,6,58,19,31,24,46,7,59,12,34,25,47,10,52,13,35,28,50) | |
| (1,49,28,36,13,51,10,48,25,33,12,60,7,45,24,32,19,57,6,44,21,39,18,56,3,41,30,38,15,53,2,50,27,35,14,52,9,47,26,34,11,59,8,46,23,31,20,58,5,43,22,40,17,55,4,42,29,37,16,54) |