Properties

Genus \(5\)
Small Group \(C_2^2.SD_{16}\)
Signature \([ 0; 2, 4, 8 ]\)
Generating Vectors \(1\)

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Family Information

Genus: 5
Group name: $C_2^2.SD_{16}$
Group identifier: [64,8]
Signature: $[ 0; 2, 4, 8 ]$
Conjugacy classes for this refined passport: 7, 11, 17

The full automorphism group for this family is $C_2^2.GL(2,3)$ with signature $[ 0; 2, 3, 8 ]$.

Jacobian variety group algebra decomposition:$E\times E^{2}\times E^{2}$
Corresponding character(s): 5, 13, 15

Other Data

Generating Vector(s)

Displaying the unique generating vector for this refined passport.

5.64-8.0.2-4-8.1.1

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