Family Information
Genus: | $12$ |
Quotient genus: | $0$ |
Group name: | $D_5$ |
Group identifier: | $[10,1]$ |
Signature: | $[ 0; 2, 2, 5, 5, 5, 5 ]$ |
Conjugacy classes for this refined passport: | $2, 2, 3, 4, 4, 4$ |
Jacobian variety group algebra decomposition: | $A_{6}^{2}$ |
Corresponding character(s): | $3$ |
Other Data
Hyperelliptic curve(s): | no |
Cyclic trigonal curve(s): | no |
Generating vector(s)
Displaying 8 of 8 generating vectors for this refined passport.
12.10-1.0.2-2-5-5-5-5.4.1
(1,6) (2,10) (3,9) (4,8) (5,7) | |
(1,6) (2,10) (3,9) (4,8) (5,7) | |
(1,2,3,4,5) (6,7,8,9,10) | |
(1,4,2,5,3) (6,9,7,10,8) | |
(1,4,2,5,3) (6,9,7,10,8) | |
(1,4,2,5,3) (6,9,7,10,8) |
12.10-1.0.2-2-5-5-5-5.4.2
(1,6) (2,10) (3,9) (4,8) (5,7) | |
(1,8) (2,7) (3,6) (4,10) (5,9) | |
(1,2,3,4,5) (6,7,8,9,10) | |
(1,3,5,2,4) (6,8,10,7,9) | |
(1,3,5,2,4) (6,8,10,7,9) | |
(1,4,2,5,3) (6,9,7,10,8) |
12.10-1.0.2-2-5-5-5-5.4.3
(1,6) (2,10) (3,9) (4,8) (5,7) | |
(1,8) (2,7) (3,6) (4,10) (5,9) | |
(1,2,3,4,5) (6,7,8,9,10) | |
(1,3,5,2,4) (6,8,10,7,9) | |
(1,4,2,5,3) (6,9,7,10,8) | |
(1,3,5,2,4) (6,8,10,7,9) |
12.10-1.0.2-2-5-5-5-5.4.4
(1,6) (2,10) (3,9) (4,8) (5,7) | |
(1,8) (2,7) (3,6) (4,10) (5,9) | |
(1,2,3,4,5) (6,7,8,9,10) | |
(1,4,2,5,3) (6,9,7,10,8) | |
(1,3,5,2,4) (6,8,10,7,9) | |
(1,3,5,2,4) (6,8,10,7,9) |
12.10-1.0.2-2-5-5-5-5.4.5
(1,6) (2,10) (3,9) (4,8) (5,7) | |
(1,8) (2,7) (3,6) (4,10) (5,9) | |
(1,5,4,3,2) (6,10,9,8,7) | |
(1,4,2,5,3) (6,9,7,10,8) | |
(1,4,2,5,3) (6,9,7,10,8) | |
(1,4,2,5,3) (6,9,7,10,8) |
12.10-1.0.2-2-5-5-5-5.4.6
(1,6) (2,10) (3,9) (4,8) (5,7) | |
(1,10) (2,9) (3,8) (4,7) (5,6) | |
(1,5,4,3,2) (6,10,9,8,7) | |
(1,3,5,2,4) (6,8,10,7,9) | |
(1,3,5,2,4) (6,8,10,7,9) | |
(1,4,2,5,3) (6,9,7,10,8) |
12.10-1.0.2-2-5-5-5-5.4.7
(1,6) (2,10) (3,9) (4,8) (5,7) | |
(1,10) (2,9) (3,8) (4,7) (5,6) | |
(1,5,4,3,2) (6,10,9,8,7) | |
(1,3,5,2,4) (6,8,10,7,9) | |
(1,4,2,5,3) (6,9,7,10,8) | |
(1,3,5,2,4) (6,8,10,7,9) |
12.10-1.0.2-2-5-5-5-5.4.8
(1,6) (2,10) (3,9) (4,8) (5,7) | |
(1,10) (2,9) (3,8) (4,7) (5,6) | |
(1,5,4,3,2) (6,10,9,8,7) | |
(1,4,2,5,3) (6,9,7,10,8) | |
(1,3,5,2,4) (6,8,10,7,9) | |
(1,3,5,2,4) (6,8,10,7,9) |