Properties

Genus \(5\)
Small Group \(C_2^2.D_4\)
Signature \([ 0; 4, 4, 4 ]\)
Generating Vectors \(1\)

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Family Information

Genus: 5
Group name: $C_2^2.D_4$
Group identifier: [32,6]
Signature: $[ 0; 4, 4, 4 ]$
Conjugacy classes for this refined passport: 7, 9, 11

The full automorphism group for this family is $C_2wrC_4$ with signature $[ 0; 2, 4, 8 ]$.

Jacobian variety group algebra decomposition:$E\times E^{4}$
Corresponding character(s): 6, 11

Other Data

Generating Vector(s)

Displaying the unique generating vector for this refined passport.

5.32-6.0.4-4-4.2.1

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