Family Information
| Genus: | $11$ |
| Quotient genus: | $0$ |
| Group name: | $C_{11}:C_4$ |
| Group identifier: | $[44,1]$ |
| Signature: | $[ 0; 4, 4, 22 ]$ |
| Conjugacy classes for this refined passport: | $3, 3, 13$ |
The full automorphism group for this family is $C_4\times D_{11}$ with signature $[ 0; 2, 4, 44 ]$.
| Jacobian variety group algebra decomposition: | $E\times A_{10}$ |
| Corresponding character(s): | $3, 6$ |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
11.44-1.0.4-4-22.4.1
| (1,23,12,34) (2,33,13,44) (3,32,14,43) (4,31,15,42) (5,30,16,41) (6,29,17,40) (7,28,18,39) (8,27,19,38) (9,26,20,37) (10,25,21,36) (11,24,22,35) | |
| (1,27,12,38) (2,26,13,37) (3,25,14,36) (4,24,15,35) (5,23,16,34) (6,33,17,44) (7,32,18,43) (8,31,19,42) (9,30,20,41) (10,29,21,40) (11,28,22,39) | |
| (1,19,4,22,7,14,10,17,2,20,5,12,8,15,11,18,3,21,6,13,9,16) (23,41,26,44,29,36,32,39,24,42,27,34,30,37,33,40,25,43,28,35,31,38) |