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, 13, 18

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.

5.32-2.0.4-4-4.1.1

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