Properties

Label 3.16-2.0.4-4-4.13
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: $8, 9, 13$

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.

3.16-2.0.4-4-4.13.1

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