Family Information
Genus: | $12$ |
Quotient genus: | $0$ |
Group name: | $C_{48}$ |
Group identifier: | $[48,2]$ |
Signature: | $[ 0; 2, 48, 48 ]$ |
Conjugacy classes for this refined passport: | $2, 33, 40$ |
The full automorphism group for this family is $C_{48}:C_2$ with signature $[ 0; 2, 4, 48 ]$.
Jacobian variety group algebra decomposition: | $A_{4}\times A_{8}$ |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
12.48-2.0.2-48-48.1.1
(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) | |
(1,33,21,29,11,43,7,39,18,26,14,46,4,36,24,32,9,41,5,37,19,27,15,47,2,34,22,30,12,44,8,40,17,25,13,45,3,35,23,31,10,42,6,38,20,28,16,48) | |
(1,47,16,27,20,37,6,41,10,32,23,36,3,46,13,26,17,39,8,43,12,29,22,33,2,48,15,28,19,38,5,42,9,31,24,35,4,45,14,25,18,40,7,44,11,30,21,34) |