Family Information
Genus: | $15$ |
Quotient genus: | $0$ |
Group name: | $C_2^2\times C_6$ |
Group identifier: | $[24,15]$ |
Signature: | $[ 0; 2, 2, 2, 6, 6 ]$ |
Conjugacy classes for this refined passport: | $2, 3, 6, 11, 24$ |
Jacobian variety group algebra decomposition: | $E\times E\times E\times A_{2}\times E\times E\times A_{2}\times A_{2}\times E\times A_{3}$ |
Corresponding character(s): | $2, 6, 8, 10, 11, 12, 13, 14, 15, 16$ |
Other Data
Hyperelliptic curve(s): | no |
Cyclic trigonal curve(s): | no |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
15.24-15.0.2-2-2-6-6.39.1
(1,4) (2,5) (3,6) (7,10) (8,11) (9,12) (13,16) (14,17) (15,18) (19,22) (20,23) (21,24) | |
(1,7) (2,8) (3,9) (4,10) (5,11) (6,12) (13,19) (14,20) (15,21) (16,22) (17,23) (18,24) | |
(1,16) (2,17) (3,18) (4,13) (5,14) (6,15) (7,22) (8,23) (9,24) (10,19) (11,20) (12,21) | |
(1,5,3,4,2,6) (7,11,9,10,8,12) (13,17,15,16,14,18) (19,23,21,22,20,24) | |
(1,24,2,22,3,23) (4,21,5,19,6,20) (7,18,8,16,9,17) (10,15,11,13,12,14) |