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: | $3, 11, 15$ |
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): | $6, 10, 19$ |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
11.80-28.0.2-8-8.2.1
| (1,31) (2,35) (3,34) (4,33) (5,32) (6,36) (7,40) (8,39) (9,38) (10,37) (11,26) (12,30) (13,29) (14,28) (15,27) (16,21) (17,25) (18,24) (19,23) (20,22) (41,71) (42,75) (43,74) (44,73) (45,72) (46,76) (47,80) (48,79) (49,78) (50,77) (51,66) (52,70) (53,69) (54,68) (55,67) (56,61) (57,65) (58,64) (59,63) (60,62) | |
| (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) | |
| (1,77,15,64,6,72,20,69) (2,80,14,61,7,75,19,66) (3,78,13,63,8,73,18,68) (4,76,12,65,9,71,17,70) (5,79,11,62,10,74,16,67) (21,52,35,49,26,57,40,44) (22,55,34,46,27,60,39,41) (23,53,33,48,28,58,38,43) (24,51,32,50,29,56,37,45) (25,54,31,47,30,59,36,42) |