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: | $2, 45, 52$ |
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.
15.60-4.0.2-60-60.1.1
| (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) | |
| (1,43,26,38,19,51,4,46,27,39,12,54,5,47,30,32,13,55,8,50,21,33,16,58,9,41,24,36,17,59,2,44,25,37,20,52,3,45,28,40,11,53,6,48,29,31,14,56,7,49,22,34,15,57,10,42,23,35,18,60) | |
| (1,59,18,36,23,41,10,58,15,33,22,50,7,55,14,32,29,47,6,54,11,39,28,46,3,51,20,38,25,43,2,60,17,35,24,42,9,57,16,34,21,49,8,56,13,31,30,48,5,53,12,40,27,45,4,52,19,37,26,44) |