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: | $8, 12, 14$ |
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): | $5, 6, 11, 19$ |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
11.80-30.0.4-4-4.8.1
| (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) | |
| (1,59,13,50) (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) | |
| (1,77,20,64) (2,80,19,61) (3,78,18,63) (4,76,17,65) (5,79,16,62) (6,72,15,69) (7,75,14,66) (8,73,13,68) (9,71,12,70) (10,74,11,67) (21,52,40,49) (22,55,39,46) (23,53,38,48) (24,51,37,50) (25,54,36,47) (26,57,35,44) (27,60,34,41) (28,58,33,43) (29,56,32,45) (30,59,31,42) |