Properties

Genus \(3\)
Quotient Genus \(0\)
Group \(C_4^2\)
Signature \([ 0; 4, 4, 4 ]\)
Generating Vectors \(1\)

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Family Information

Genus: 3
Quotient Genus: 0
Group name: $C_4^2$
Group identifier: [16,2]
Signature: $[ 0; 4, 4, 4 ]$
Conjugacy classes for this refined passport: 5, 9, 14

The full automorphism group for this family is $C_4^2:C_3:C_2$ with signature $[ 0; 2, 3, 8 ]$.

Jacobian variety group algebra decomposition:$E\times E\times E$
Corresponding character(s): 6, 7, 10

Generating Vector(s)

Displaying the unique generating vector for this refined passport.

3.16-2.0.4-4-4.1.1

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