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: | $3, 47, 50$ |
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.
15.64-50.0.2-32-32.15.1
| (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) | |
| (1,40,12,46,6,34,15,43,3,37,9,48,8,36,14,42,2,39,11,45,5,33,16,44,4,38,10,47,7,35,13,41) (17,56,28,62,22,50,31,59,19,53,25,64,24,52,30,58,18,55,27,61,21,49,32,60,20,54,26,63,23,51,29,57) | |
| (1,57,13,51,7,63,10,54,4,60,16,49,5,61,11,55,2,58,14,52,8,64,9,53,3,59,15,50,6,62,12,56) (17,41,29,35,23,47,26,38,20,44,32,33,21,45,27,39,18,42,30,36,24,48,25,37,19,43,31,34,22,46,28,40) |