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: | $4, 11, 17$ |
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.
11.80-28.0.2-8-8.6.1
| (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) | |
| (1,54,18,45,6,59,13,50) (2,52,17,42,7,57,12,47) (3,55,16,44,8,60,11,49) (4,53,20,41,9,58,15,46) (5,51,19,43,10,56,14,48) (21,74,38,65,26,79,33,70) (22,72,37,62,27,77,32,67) (23,75,36,64,28,80,31,69) (24,73,40,61,29,78,35,66) (25,71,39,63,30,76,34,68) | |
| (1,72,15,69,6,77,20,64) (2,75,14,66,7,80,19,61) (3,73,13,68,8,78,18,63) (4,71,12,70,9,76,17,65) (5,74,11,67,10,79,16,62) (21,57,35,44,26,52,40,49) (22,60,34,41,27,55,39,46) (23,58,33,43,28,53,38,48) (24,56,32,45,29,51,37,50) (25,59,31,42,30,54,36,47) |