Properties

Genus \(5\)
Small Group \(C_2^2:C_8\)
Signature \([ 0; 2, 8, 8 ]\)
Generating Vectors \(1\)

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Family Information

Genus: 5
Group name: $C_2^2:C_8$
Group identifier: [32,5]
Signature: $[ 0; 2, 8, 8 ]$
Conjugacy classes for this refined passport: 5, 13, 20

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:$E\times A_{2}\times E^{2}$
Corresponding character(s): 5, 13, 19

Other Data

Generating Vector(s)

Displaying the unique generating vector for this refined passport.

5.32-5.0.2-8-8.1.1

  (1,9) (2,10) (3,11) (4,12) (5,13) (6,14) (7,15) (8,16) (17,25) (18,26) (19,27) (20,28) (21,29) (22,30) (23,31) (24,32)
  (1,17,3,19,2,18,4,20) (5,21,7,23,6,22,8,24) (9,29,11,31,10,30,12,32) (13,25,15,27,14,26,16,28)
  (1,28,8,30,2,27,7,29) (3,25,5,32,4,26,6,31) (9,24,16,18,10,23,15,17) (11,21,13,20,12,22,14,19)