Properties

Genus \(5\)
Small Group \(C_2.C_4^2\)
Signature \([ 0; 4, 4, 4 ]\)
Generating Vectors \(1\)

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Family Information

Genus: 5
Group name: $C_2.C_4^2$
Group identifier: [32,2]
Signature: $[ 0; 4, 4, 4 ]$
Conjugacy classes for this refined passport: 9, 14, 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:$E\times E\times E\times A_{2}$
Corresponding character(s): 9, 10, 12, 18

Other Data

Generating Vector(s)

Displaying the unique generating vector for this refined passport.

5.32-2.0.4-4-4.2.1

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