Family Information
| Genus: | $15$ |
| Quotient genus: | $0$ |
| Group name: | $C_2\times C_{32}$ |
| Group identifier: | $[64,50]$ |
| Signature: | $[ 0; 2, 32, 32 ]$ |
| Conjugacy classes for this refined passport: | $3, 44, 53$ |
The full automorphism group for this family is $D_{16}:C_4$ with signature $[ 0; 2, 4, 32 ]$.
| Jacobian variety group algebra decomposition: | $A_{8}\times A_{4}\times A_{2}\times E$ |
| Corresponding character(s): | $4, 6, 10, 18$ |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
15.64-50.0.2-32-32.12.1
| (1,17) (2,18) (3,19) (4,20) (5,21) (6,22) (7,23) (8,24) (9,25) (10,26) (11,27) (12,28) (13,29) (14,30) (15,31) (16,32) (33,49) (34,50) (35,51) (36,52) (37,53) (38,54) (39,55) (40,56) (41,57) (42,58) (43,59) (44,60) (45,61) (46,62) (47,63) (48,64) | |
| (1,46,15,37,8,42,11,33,4,47,13,40,6,43,9,36,2,45,16,38,7,41,12,34,3,48,14,39,5,44,10,35) (17,62,31,53,24,58,27,49,20,63,29,56,22,59,25,52,18,61,32,54,23,57,28,50,19,64,30,55,21,60,26,51) | |
| (1,51,10,60,5,55,14,64,3,50,12,57,7,54,16,61,2,52,9,59,6,56,13,63,4,49,11,58,8,53,15,62) (17,35,26,44,21,39,30,48,19,34,28,41,23,38,32,45,18,36,25,43,22,40,29,47,20,33,27,42,24,37,31,46) |