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: | $3, 5, 8$ |
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.
5.80-49.0.2-5-5.3.1
| (1,3) (2,4) (5,7) (6,8) (9,11) (10,12) (13,15) (14,16) (17,19) (18,20) (21,23) (22,24) (25,27) (26,28) (29,31) (30,32) (33,35) (34,36) (37,39) (38,40) (41,43) (42,44) (45,47) (46,48) (49,51) (50,52) (53,55) (54,56) (57,59) (58,60) (61,63) (62,64) (65,67) (66,68) (69,71) (70,72) (73,75) (74,76) (77,79) (78,80) | |
| (1,17,33,49,65) (2,32,43,61,73) (3,30,40,60,68) (4,19,46,56,76) (5,26,47,54,71) (6,23,37,58,79) (7,21,42,63,70) (8,28,36,51,78) (9,18,48,59,77) (10,31,38,55,69) (11,29,41,50,80) (12,20,35,62,72) (13,25,34,64,75) (14,24,44,52,67) (15,22,39,53,74) (16,27,45,57,66) | |
| (1,67,50,43,30) (2,75,62,33,19) (3,66,59,46,17) (4,74,55,40,32) (5,69,53,37,21) (6,77,57,47,28) (7,72,64,36,26) (8,80,52,42,23) (9,79,60,38,29) (10,71,56,48,20) (11,78,49,35,18) (12,70,61,41,31) (13,73,63,44,22) (14,65,51,34,27) (15,76,54,45,25) (16,68,58,39,24) |