Family Information
Genus: | $14$ |
Quotient genus: | $0$ |
Group name: | $C_3\times \SD_{16}$ |
Group identifier: | $[48,26]$ |
Signature: | $[ 0; 4, 6, 24 ]$ |
Conjugacy classes for this refined passport: | $7, 10, 19$ |
Jacobian variety group algebra decomposition: | $E\times E\times E^{2}\times E^{2}\times A_{4}^{2}$ |
Corresponding character(s): | $5, 6, 14, 16, 18$ |
Other Data
Hyperelliptic curve(s): | no |
Cyclic trigonal curve(s): | no |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
14.48-26.0.4-6-24.1.1
(1,25,2,26) (3,28,4,27) (5,29,6,30) (7,32,8,31) (9,33,10,34) (11,36,12,35) (13,39,14,40) (15,37,16,38) (17,43,18,44) (19,41,20,42) (21,47,22,48) (23,45,24,46) | |
(1,17,9,13,5,21) (2,18,10,14,6,22) (3,20,11,16,7,24) (4,19,12,15,8,23) (25,41,33,37,29,45) (26,42,34,38,30,46) (27,44,35,40,31,48) (28,43,36,39,32,47) | |
(1,48,8,38,10,43,3,45,5,40,12,42,2,47,7,37,9,44,4,46,6,39,11,41) (13,34,20,27,22,29,15,36,17,26,24,31,14,33,19,28,21,30,16,35,18,25,23,32) |