Family Information
Genus: | $13$ |
Quotient genus: | $0$ |
Group name: | $C_4.C_4^2$ |
Group identifier: | $[64,21]$ |
Signature: | $[ 0; 4, 4, 8 ]$ |
Conjugacy classes for this refined passport: | $16, 20, 25$ |
The full automorphism group for this family is $C_2^2.D_{16}$ with signature $[ 0; 2, 4, 16 ]$.
Jacobian variety group algebra decomposition: | $E\times E\times E\times A_{2}\times A_{4}\times E^{2}\times E^{2}$ |
Corresponding character(s): | $8, 9, 14, 17, 22, 23, 27$ |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
13.64-21.0.4-4-8.31.1
(1,39,5,35) (2,40,6,36) (3,37,7,33) (4,38,8,34) (9,48,13,44) (10,47,14,43) (11,46,15,42) (12,45,16,41) (17,63,21,59) (18,64,22,60) (19,61,23,57) (20,62,24,58) (25,55,29,51) (26,56,30,52) (27,53,31,49) (28,54,32,50) | |
(1,62,15,51) (2,61,16,52) (3,63,14,49) (4,64,13,50) (5,58,11,55) (6,57,12,56) (7,59,10,53) (8,60,9,54) (17,39,31,42) (18,40,32,41) (19,37,30,43) (20,38,29,44) (21,35,27,46) (22,36,28,45) (23,33,26,47) (24,34,25,48) | |
(1,29,4,32,2,30,3,31) (5,25,8,28,6,26,7,27) (9,22,12,23,10,21,11,24) (13,18,16,19,14,17,15,20) (33,61,36,64,34,62,35,63) (37,57,40,60,38,58,39,59) (41,54,44,55,42,53,43,56) (45,50,48,51,46,49,47,52) |