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: | $3, 3, 10$ |
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.
11.44-1.0.4-4-22.1.1
| (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) | |
| (1,33,12,44) (2,32,13,43) (3,31,14,42) (4,30,15,41) (5,29,16,40) (6,28,17,39) (7,27,18,38) (8,26,19,37) (9,25,20,36) (10,24,21,35) (11,23,22,34) | |
| (1,13,3,15,5,17,7,19,9,21,11,12,2,14,4,16,6,18,8,20,10,22) (23,35,25,37,27,39,29,41,31,43,33,34,24,36,26,38,28,40,30,42,32,44) |