Family Information
| Genus: | $13$ |
| Quotient genus: | $0$ |
| Group name: | $C_2\times C_{20}$ |
| Group identifier: | $[40,9]$ |
| Signature: | $[ 0; 4, 10, 20 ]$ |
| Conjugacy classes for this refined passport: | $5, 17, 40$ |
| Jacobian variety group algebra decomposition: | $E\times A_{4}\times A_{4}\times A_{2}\times A_{2}$ |
| Corresponding character(s): | $3, 11, 12, 13, 14$ |
Other Data
| Hyperelliptic curve(s): | no |
| Cyclic trigonal curve(s): | no |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
13.40-9.0.4-10-20.1.1
| (1,21,2,22) (3,23,4,24) (5,25,6,26) (7,27,8,28) (9,29,10,30) (11,31,12,32) (13,33,14,34) (15,35,16,36) (17,37,18,38) (19,39,20,40) | |
| (1,13,5,17,9,11,3,15,7,19) (2,14,6,18,10,12,4,16,8,20) (21,33,25,37,29,31,23,35,27,39) (22,34,26,38,30,32,24,36,28,40) | |
| (1,40,8,35,3,32,10,37,5,34,2,39,7,36,4,31,9,38,6,33) (11,30,18,25,13,22,20,27,15,24,12,29,17,26,14,21,19,28,16,23) |