Family Information
| Genus: | $14$ |
| Quotient genus: | $0$ |
| Group name: | $D_{10}$ |
| Group identifier: | $[20,4]$ |
| Signature: | $[ 0; 2, 2, 2, 10, 10 ]$ |
| Conjugacy classes for this refined passport: | $2, 3, 4, 8, 8$ |
| Jacobian variety group algebra decomposition: | $E\times E\times A_{4}^{2}\times A_{2}^{2}$ |
| Corresponding character(s): | $3, 4, 5, 6$ |
Other Data
| Hyperelliptic curve(s): | no |
| Cyclic trigonal curve(s): | no |
Generating vector(s)
Displaying 2 of 2 generating vectors for this refined passport.
14.20-4.0.2-2-2-10-10.3.1
| (1,6) (2,7) (3,8) (4,9) (5,10) (11,16) (12,17) (13,18) (14,19) (15,20) | |
| (1,11) (2,15) (3,14) (4,13) (5,12) (6,16) (7,20) (8,19) (9,18) (10,17) | |
| (1,16) (2,20) (3,19) (4,18) (5,17) (6,11) (7,15) (8,14) (9,13) (10,12) | |
| (1,9,2,10,3,6,4,7,5,8) (11,19,12,20,13,16,14,17,15,18) | |
| (1,8,5,7,4,6,3,10,2,9) (11,18,15,17,14,16,13,20,12,19) |
14.20-4.0.2-2-2-10-10.3.2
| (1,6) (2,7) (3,8) (4,9) (5,10) (11,16) (12,17) (13,18) (14,19) (15,20) | |
| (1,11) (2,15) (3,14) (4,13) (5,12) (6,16) (7,20) (8,19) (9,18) (10,17) | |
| (1,20) (2,19) (3,18) (4,17) (5,16) (6,15) (7,14) (8,13) (9,12) (10,11) | |
| (1,9,2,10,3,6,4,7,5,8) (11,19,12,20,13,16,14,17,15,18) | |
| (1,9,2,10,3,6,4,7,5,8) (11,19,12,20,13,16,14,17,15,18) |