Properties

Label 3.16-2.0.4-4-4.2
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: $5, 10, 15$

The full automorphism group for this family is $C_4^2:S_3$ 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.

3.16-2.0.4-4-4.2.1

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