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: | $8, 9, 13$ |
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): | $5, 8, 11, 19$ |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
11.80-30.0.4-4-4.5.1
| (1,36,6,31) (2,40,7,35) (3,39,8,34) (4,38,9,33) (5,37,10,32) (11,26,16,21) (12,30,17,25) (13,29,18,24) (14,28,19,23) (15,27,20,22) (41,76,46,71) (42,80,47,75) (43,79,48,74) (44,78,49,73) (45,77,50,72) (51,66,56,61) (52,70,57,65) (53,69,58,64) (54,68,59,63) (55,67,60,62) | |
| (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) | |
| (1,63,17,80) (2,65,16,78) (3,62,20,76) (4,64,19,79) (5,61,18,77) (6,68,12,75) (7,70,11,73) (8,67,15,71) (9,69,14,74) (10,66,13,72) (21,48,37,55) (22,50,36,53) (23,47,40,51) (24,49,39,54) (25,46,38,52) (26,43,32,60) (27,45,31,58) (28,42,35,56) (29,44,34,59) (30,41,33,57) |