Family Information
| Genus: | $15$ |
| Quotient genus: | $0$ |
| Group name: | $\OD_{64}$ |
| Group identifier: | $[64,51]$ |
| Signature: | $[ 0; 2, 32, 32 ]$ |
| Conjugacy classes for this refined passport: | $3, 30, 35$ |
The full automorphism group for this family is $D_{16}:C_4$ with signature $[ 0; 2, 4, 32 ]$.
| Jacobian variety group algebra decomposition: | $E\times A_{2}\times A_{4}\times A_{4}^{2}$ |
| Corresponding character(s): | $6, 10, 17, 33$ |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
15.64-51.0.2-32-32.6.1
| (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) | |
| (1,43,14,33,7,46,9,39,4,41,15,36,5,47,12,37,2,44,13,34,8,45,10,40,3,42,16,35,6,48,11,38) (17,60,30,50,23,61,25,56,20,58,31,51,21,64,28,54,18,59,29,49,24,62,26,55,19,57,32,52,22,63,27,53) | |
| (1,54,12,63,6,51,15,57,3,56,9,62,8,50,14,59,2,53,11,64,5,52,16,58,4,55,10,61,7,49,13,60) (17,37,28,48,22,36,31,42,19,39,25,45,24,33,30,44,18,38,27,47,21,35,32,41,20,40,26,46,23,34,29,43) |