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: | $2, 53, 60$ |
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.
15.60-4.0.2-60-60.5.1
| (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) | |
| (1,44,26,37,19,52,4,45,27,40,12,53,5,48,30,31,13,56,8,49,21,34,16,57,9,42,24,35,17,60,2,43,25,38,20,51,3,46,28,39,11,54,6,47,29,32,14,55,7,50,22,33,15,58,10,41,23,36,18,59) | |
| (1,60,18,35,23,42,10,57,15,34,22,49,7,56,14,31,29,48,6,53,11,40,28,45,3,52,20,37,25,44,2,59,17,36,24,41,9,58,16,33,21,50,8,55,13,32,30,47,5,54,12,39,27,46,4,51,19,38,26,43) |