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: | $8, 11, 15$ |
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): | $5, 6, 7, 19$ |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
11.80-30.0.4-4-4.7.1
| (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) | |
| (1,50,13,59) (2,47,12,57) (3,49,11,60) (4,46,15,58) (5,48,14,56) (6,45,18,54) (7,42,17,52) (8,44,16,55) (9,41,20,53) (10,43,19,51) (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) | |
| (1,68,17,75) (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) |