Family Information
Genus: | $10$ |
Quotient genus: | $0$ |
Group name: | $S_3\times C_9$ |
Group identifier: | $[54,4]$ |
Signature: | $[ 0; 2, 9, 18 ]$ |
Conjugacy classes for this refined passport: | $2, 16, 27$ |
The full automorphism group for this family is $\He_3.C_6$ with signature $[ 0; 2, 3, 18 ]$.
Jacobian variety group algebra decomposition: | $E\times A_{3}\times A_{3}^{2}$ |
Corresponding character(s): | $4, 10, 22$ |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
10.54-4.0.2-9-18.1.1
(1,28) (2,30) (3,29) (4,31) (5,33) (6,32) (7,34) (8,36) (9,35) (10,37) (11,39) (12,38) (13,40) (14,42) (15,41) (16,43) (17,45) (18,44) (19,46) (20,48) (21,47) (22,49) (23,51) (24,50) (25,52) (26,54) (27,53) | |
(1,11,21,4,14,24,7,17,27) (2,12,19,5,15,22,8,18,25) (3,10,20,6,13,23,9,16,26) (28,38,48,31,41,51,34,44,54) (29,39,46,32,42,49,35,45,52) (30,37,47,33,40,50,36,43,53) | |
(1,53,16,35,22,41,4,47,10,29,25,44,7,50,13,32,19,38) (2,52,17,34,23,40,5,46,11,28,26,43,8,49,14,31,20,37) (3,54,18,36,24,42,6,48,12,30,27,45,9,51,15,33,21,39) |