Properties

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

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Family Information

Genus: 5
Quotient Genus: 0
Group name: $C_2^2:C_8$
Group identifier: [32,5]
Signature: $[ 0; 2, 8, 8 ]$
Conjugacy classes for this refined passport: 5, 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:$E\times A_{2}\times E^{2}$
Corresponding character(s): 5, 13, 19

Generating Vector(s)

Displaying the unique generating vector for this refined passport.

5.32-5.0.2-8-8.2.1

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