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: | $7, 12, 16$ |
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.
11.80-30.0.4-4-4.4.1
| (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) | |
| (1,59,13,50) (2,57,12,47) (3,60,11,49) (4,58,15,46) (5,56,14,48) (6,54,18,45) (7,52,17,42) (8,55,16,44) (9,53,20,41) (10,51,19,43) (21,79,33,70) (22,77,32,67) (23,80,31,69) (24,78,35,66) (25,76,34,68) (26,74,38,65) (27,72,37,62) (28,75,36,64) (29,73,40,61) (30,71,39,63) | |
| (1,72,20,69) (2,75,19,66) (3,73,18,68) (4,71,17,70) (5,74,16,67) (6,77,15,64) (7,80,14,61) (8,78,13,63) (9,76,12,65) (10,79,11,62) (21,57,40,44) (22,60,39,41) (23,58,38,43) (24,56,37,45) (25,59,36,42) (26,52,35,49) (27,55,34,46) (28,53,33,48) (29,51,32,50) (30,54,31,47) |