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: | $4, 4, 10$ |
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.
11.44-1.0.4-4-22.6.1
| (1,34,12,23) (2,44,13,33) (3,43,14,32) (4,42,15,31) (5,41,16,30) (6,40,17,29) (7,39,18,28) (8,38,19,27) (9,37,20,26) (10,36,21,25) (11,35,22,24) | |
| (1,44,12,33) (2,43,13,32) (3,42,14,31) (4,41,15,30) (5,40,16,29) (6,39,17,28) (7,38,18,27) (8,37,19,26) (9,36,20,25) (10,35,21,24) (11,34,22,23) | |
| (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) |