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: | $4, 44, 61$ |
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.
15.64-50.0.2-32-32.28.1
| (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) | |
| (1,46,15,37,8,42,11,33,4,47,13,40,6,43,9,36,2,45,16,38,7,41,12,34,3,48,14,39,5,44,10,35) (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) | |
| (1,52,10,59,5,56,14,63,3,49,12,58,7,53,16,62,2,51,9,60,6,55,13,64,4,50,11,57,8,54,15,61) (17,36,26,43,21,40,30,47,19,33,28,42,23,37,32,46,18,35,25,44,22,39,29,48,20,34,27,41,24,38,31,45) |