Family Information
| Genus: | $11$ |
| Quotient genus: | $0$ |
| Group name: | $C_4\times F_5$ |
| Group identifier: | $[80,30]$ |
| Signature: | $[ 0; 4, 4, 4 ]$ |
| Conjugacy classes for this refined passport: | $7, 9, 15$ |
The full automorphism group for this family is $D_{20}:C_4$ with signature $[ 0; 2, 4, 8 ]$.
| Jacobian variety group algebra decomposition: | $E\times E\times E\times A_{2}^{4}$ |
| Corresponding character(s): | $5, 7, 8, 19$ |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
11.80-30.0.4-4-4.1.1
| (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) (21,65,33,74) (22,62,32,72) (23,64,31,75) (24,61,35,73) (25,63,34,71) (26,70,38,79) (27,67,37,77) (28,69,36,80) (29,66,40,78) (30,68,39,76) | |
| (1,68,17,75) (2,70,16,73) (3,67,20,71) (4,69,19,74) (5,66,18,72) (6,63,12,80) (7,65,11,78) (8,62,15,76) (9,64,14,79) (10,61,13,77) (21,43,37,60) (22,45,36,58) (23,42,40,56) (24,44,39,59) (25,41,38,57) (26,48,32,55) (27,50,31,53) (28,47,35,51) (29,49,34,54) (30,46,33,52) |