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, 19

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.

5.64-8.0.2-4-8.2.1

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