Family Information
| Genus: | $11$ |
| Quotient genus: | $0$ |
| Group name: | $D_5:C_8$ |
| Group identifier: | $[80,28]$ |
| Signature: | $[ 0; 2, 8, 8 ]$ |
| Conjugacy classes for this refined passport: | $4, 12, 14$ |
The full automorphism group for this family is $D_{20}:C_4$ with signature $[ 0; 2, 4, 8 ]$.
| Jacobian variety group algebra decomposition: | $E\times A_{2}\times A_{4}^{2}$ |
| Corresponding character(s): | $6, 9, 19$ |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
11.80-28.0.2-8-8.7.1
| (1,36) (2,40) (3,39) (4,38) (5,37) (6,31) (7,35) (8,34) (9,33) (10,32) (11,21) (12,25) (13,24) (14,23) (15,22) (16,26) (17,30) (18,29) (19,28) (20,27) (41,76) (42,80) (43,79) (44,78) (45,77) (46,71) (47,75) (48,74) (49,73) (50,72) (51,61) (52,65) (53,64) (54,63) (55,62) (56,66) (57,70) (58,69) (59,68) (60,67) | |
| (1,50,13,59,6,45,18,54) (2,47,12,57,7,42,17,52) (3,49,11,60,8,44,16,55) (4,46,15,58,9,41,20,53) (5,48,14,56,10,43,19,51) (21,70,33,79,26,65,38,74) (22,67,32,77,27,62,37,72) (23,69,31,80,28,64,36,75) (24,66,35,78,29,61,40,73) (25,68,34,76,30,63,39,71) | |
| (1,63,17,80,6,68,12,75) (2,65,16,78,7,70,11,73) (3,62,20,76,8,67,15,71) (4,64,19,79,9,69,14,74) (5,61,18,77,10,66,13,72) (21,48,37,55,26,43,32,60) (22,50,36,53,27,45,31,58) (23,47,40,51,28,42,35,56) (24,49,39,54,29,44,34,59) (25,46,38,52,30,41,33,57) |