Family Information
| Genus: | $5$ |
| Quotient genus: | $0$ |
| Group name: | $C_2^4:C_5$ |
| Group identifier: | $[80,49]$ |
| Signature: | $[ 0; 2, 5, 5 ]$ |
| Conjugacy classes for this refined passport: | $4, 6, 7$ |
The full automorphism group for this family is $C_2^4:D_5$ with signature $[ 0; 2, 4, 5 ]$.
| Jacobian variety group algebra decomposition: | $E^{5}$ |
| Corresponding character(s): | $6$ |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
5.80-49.0.2-5-5.6.1
| (1,5) (2,6) (3,7) (4,8) (9,13) (10,14) (11,15) (12,16) (17,21) (18,22) (19,23) (20,24) (25,29) (26,30) (27,31) (28,32) (33,37) (34,38) (35,39) (36,40) (41,45) (42,46) (43,47) (44,48) (49,53) (50,54) (51,55) (52,56) (57,61) (58,62) (59,63) (60,64) (65,69) (66,70) (67,71) (68,72) (73,77) (74,78) (75,79) (76,80) | |
| (1,33,65,17,49) (2,43,73,32,61) (3,40,68,30,60) (4,46,76,19,56) (5,47,71,26,54) (6,37,79,23,58) (7,42,70,21,63) (8,36,78,28,51) (9,48,77,18,59) (10,38,69,31,55) (11,41,80,29,50) (12,35,72,20,62) (13,34,75,25,64) (14,44,67,24,52) (15,39,74,22,53) (16,45,66,27,57) | |
| (1,53,18,73,47) (2,57,31,65,37) (3,64,29,76,42) (4,52,20,68,36) (5,50,25,79,33) (6,62,24,71,43) (7,59,22,78,40) (8,55,27,70,46) (9,63,17,69,34) (10,51,32,77,44) (11,54,30,72,39) (12,58,19,80,45) (13,60,26,67,48) (14,56,23,75,38) (15,49,21,66,41) (16,61,28,74,35) |