Family Information
| Genus: | $11$ |
| Quotient genus: | $0$ |
| Group name: | $C_{20}:C_4$ |
| Group identifier: | $[80,31]$ |
| Signature: | $[ 0; 4, 4, 4 ]$ |
| Conjugacy classes for this refined passport: | $6, 7, 9$ |
The full automorphism group for this family is $D_{20}:C_4$ with signature $[ 0; 2, 4, 8 ]$.
| Jacobian variety group algebra decomposition: | $E\times A_{2}\times A_{2}^{4}$ |
| Corresponding character(s): | $5, 10, 13$ |
Generating vector(s)
Displaying 2 of 2 generating vectors for this refined passport.
11.80-31.0.4-4-4.1.1
| (1,31,6,36) (2,35,7,40) (3,34,8,39) (4,33,9,38) (5,32,10,37) (11,21,16,26) (12,25,17,30) (13,24,18,29) (14,23,19,28) (15,22,20,27) (41,71,46,76) (42,75,47,80) (43,74,48,79) (44,73,49,78) (45,72,50,77) (51,61,56,66) (52,65,57,70) (53,64,58,69) (54,63,59,68) (55,62,60,67) | |
| (1,45,13,54) (2,42,12,52) (3,44,11,55) (4,41,15,53) (5,43,14,51) (6,50,18,59) (7,47,17,57) (8,49,16,60) (9,46,20,58) (10,48,19,56) (21,70,33,79) (22,67,32,77) (23,69,31,80) (24,66,35,78) (25,68,34,76) (26,65,38,74) (27,62,37,72) (28,64,36,75) (29,61,40,73) (30,63,39,71) | |
| (1,68,12,80) (2,70,11,78) (3,67,15,76) (4,69,14,79) (5,66,13,77) (6,63,17,75) (7,65,16,73) (8,62,20,71) (9,64,19,74) (10,61,18,72) (21,48,32,60) (22,50,31,58) (23,47,35,56) (24,49,34,59) (25,46,33,57) (26,43,37,55) (27,45,36,53) (28,42,40,51) (29,44,39,54) (30,41,38,52) |
11.80-31.0.4-4-4.1.2
| (1,31,6,36) (2,35,7,40) (3,34,8,39) (4,33,9,38) (5,32,10,37) (11,21,16,26) (12,25,17,30) (13,24,18,29) (14,23,19,28) (15,22,20,27) (41,71,46,76) (42,75,47,80) (43,74,48,79) (44,73,49,78) (45,72,50,77) (51,61,56,66) (52,65,57,70) (53,64,58,69) (54,63,59,68) (55,62,60,67) | |
| (1,44,15,52) (2,41,14,55) (3,43,13,53) (4,45,12,51) (5,42,11,54) (6,49,20,57) (7,46,19,60) (8,48,18,58) (9,50,17,56) (10,47,16,59) (21,69,35,77) (22,66,34,80) (23,68,33,78) (24,70,32,76) (25,67,31,79) (26,64,40,72) (27,61,39,75) (28,63,38,73) (29,65,37,71) (30,62,36,74) | |
| (1,70,13,79) (2,67,12,77) (3,69,11,80) (4,66,15,78) (5,68,14,76) (6,65,18,74) (7,62,17,72) (8,64,16,75) (9,61,20,73) (10,63,19,71) (21,50,33,59) (22,47,32,57) (23,49,31,60) (24,46,35,58) (25,48,34,56) (26,45,38,54) (27,42,37,52) (28,44,36,55) (29,41,40,53) (30,43,39,51) |