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: | $2, 54, 59$ |
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.
15.60-4.0.2-60-60.6.1
| (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) | |
| (1,45,30,34,17,51,6,50,23,37,12,56,9,43,28,32,15,59,4,48,21,35,20,54,7,41,26,40,13,57,2,46,29,33,18,52,5,49,24,38,11,55,10,44,27,31,16,60,3,47,22,36,19,53,8,42,25,39,14,58) | |
| (1,57,14,40,25,41,8,54,19,35,22,48,3,59,16,32,27,43,10,56,11,37,24,50,5,51,18,34,29,45,2,58,13,39,26,42,7,53,20,36,21,47,4,60,15,31,28,44,9,55,12,38,23,49,6,52,17,33,30,46) |