Properties

Genus \(3\)
Quotient Genus \(0\)
Group \(C_4:C_4\)
Signature \([ 0; 4, 4, 4 ]\)
Generating Vectors \(1\)

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Family Information

Genus: 3
Quotient Genus: 0
Group name: $C_4:C_4$
Group identifier: [16,4]
Signature: $[ 0; 4, 4, 4 ]$
Conjugacy classes for this refined passport: 5, 8, 9

The full automorphism group for this family is $D_4:C_4$ with signature $[ 0; 2, 4, 8 ]$.

Jacobian variety group algebra decomposition:$E\times A_{2}$
Corresponding character(s): 6, 9

Generating Vector(s)

Displaying the unique generating vector for this refined passport.

3.16-4.0.4-4-4.2.1

  (1,5,3,7) (2,6,4,8) (9,13,11,15) (10,14,12,16)
  (1,10,2,9) (3,12,4,11) (5,16,6,15) (7,14,8,13)
  (1,15,2,16) (3,13,4,14) (5,11,6,12) (7,9,8,10)