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: | $4, 43, 62$ |
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): | $3, 6, 10, 18$ |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
15.64-50.0.2-32-32.27.1
| (1,18) (2,17) (3,20) (4,19) (5,22) (6,21) (7,24) (8,23) (9,26) (10,25) (11,28) (12,27) (13,30) (14,29) (15,32) (16,31) (33,50) (34,49) (35,52) (36,51) (37,54) (38,53) (39,56) (40,55) (41,58) (42,57) (43,60) (44,59) (45,62) (46,61) (47,64) (48,63) | |
| (1,38,11,48,6,35,16,42,3,40,10,45,8,34,13,44,2,37,12,47,5,36,15,41,4,39,9,46,7,33,14,43) (17,54,27,64,22,51,32,58,19,56,26,61,24,50,29,60,18,53,28,63,21,52,31,57,20,55,25,62,23,49,30,59) | |
| (1,60,14,50,7,61,9,56,4,58,15,51,5,64,12,54,2,59,13,49,8,62,10,55,3,57,16,52,6,63,11,53) (17,44,30,34,23,45,25,40,20,42,31,35,21,48,28,38,18,43,29,33,24,46,26,39,19,41,32,36,22,47,27,37) |