Family Information
Genus: | $5$ |
Quotient genus: | $0$ |
Group name: | $C_2^2\wr C_2$ |
Group identifier: | $[32,27]$ |
Signature: | $[ 0; 2, 2, 2, 4 ]$ |
Conjugacy classes for this refined passport: | $6, 7, 11, 14$ |
Jacobian variety group algebra decomposition: | $E\times E^{2}\times E^{2}$ |
Corresponding character(s): | $3, 10, 12$ |
Other Data
Hyperelliptic curve(s): | no |
Cyclic trigonal curve(s): | no |
Generating vector(s)
Displaying 2 of 2 generating vectors for this refined passport.
5.32-27.0.2-2-2-4.5.1
(1,7) (2,8) (3,5) (4,6) (9,15) (10,16) (11,13) (12,14) (17,23) (18,24) (19,21) (20,22) (25,31) (26,32) (27,29) (28,30) | |
(1,9) (2,10) (3,11) (4,12) (5,13) (6,14) (7,15) (8,16) (17,25) (18,26) (19,27) (20,28) (21,29) (22,30) (23,31) (24,32) | |
(1,17) (2,18) (3,19) (4,20) (5,22) (6,21) (7,24) (8,23) (9,27) (10,28) (11,25) (12,26) (13,32) (14,31) (15,30) (16,29) | |
(1,31,4,30) (2,32,3,29) (5,28,8,25) (6,27,7,26) (9,21,12,24) (10,22,11,23) (13,18,16,19) (14,17,15,20) |
5.32-27.0.2-2-2-4.5.2
(1,7) (2,8) (3,5) (4,6) (9,15) (10,16) (11,13) (12,14) (17,23) (18,24) (19,21) (20,22) (25,31) (26,32) (27,29) (28,30) | |
(1,11) (2,12) (3,9) (4,10) (5,15) (6,16) (7,13) (8,14) (17,27) (18,28) (19,25) (20,26) (21,31) (22,32) (23,29) (24,30) | |
(1,17) (2,18) (3,19) (4,20) (5,22) (6,21) (7,24) (8,23) (9,27) (10,28) (11,25) (12,26) (13,32) (14,31) (15,30) (16,29) | |
(1,29,4,32) (2,30,3,31) (5,26,8,27) (6,25,7,28) (9,23,12,22) (10,24,11,21) (13,20,16,17) (14,19,15,18) |
Displaying the unique representative of this refined passport up to braid equivalence.
5.32-27.0.2-2-2-4.5.1
(1,7) (2,8) (3,5) (4,6) (9,15) (10,16) (11,13) (12,14) (17,23) (18,24) (19,21) (20,22) (25,31) (26,32) (27,29) (28,30) | |
(1,9) (2,10) (3,11) (4,12) (5,13) (6,14) (7,15) (8,16) (17,25) (18,26) (19,27) (20,28) (21,29) (22,30) (23,31) (24,32) | |
(1,17) (2,18) (3,19) (4,20) (5,22) (6,21) (7,24) (8,23) (9,27) (10,28) (11,25) (12,26) (13,32) (14,31) (15,30) (16,29) | |
(1,31,4,30) (2,32,3,29) (5,28,8,25) (6,27,7,26) (9,21,12,24) (10,22,11,23) (13,18,16,19) (14,17,15,20) |