Properties

Genus \(5\)
Quotient Genus \(0\)
Group \(C_2^3.C_4\)
Signature \([ 0; 2, 8, 8 ]\)
Generating Vectors \(1\)

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Family Information

Genus: 5
Quotient Genus: 0
Group name: $C_2^3.C_4$
Group identifier: [32,7]
Signature: $[ 0; 2, 8, 8 ]$
Conjugacy classes for this refined passport: 4, 8, 11

The full automorphism group for this family is $C_2\wr C_4$ with signature $[ 0; 2, 4, 8 ]$.

Jacobian variety group algebra decomposition:$E\times E^{4}$
Corresponding character(s): 5, 11

Generating Vector(s)

Displaying the unique generating vector for this refined passport.

5.32-7.0.2-8-8.1.1

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