Properties

Genus \(2\)
Small Group \(C_3:C_4\)
Signature \([ 0; 3, 4, 4 ]\)
Generating Vectors \(1\)

Related objects

Downloads

Learn more about

Family Information

Genus: 2
Group name: $C_3:C_4$
Group identifier: [12,1]
Signature: $[ 0; 3, 4, 4 ]$
Conjugacy classes for this refined passport: 3, 4, 5

The full automorphism group for this family is $C_3:D_4$ with signature $[ 0; 2, 4, 6 ]$.

Jacobian variety group algebra decomposition:$A_{2}$
Corresponding character(s): 5

Other Data

Generating Vector(s)

Displaying the unique generating vector for this refined passport.

2.12-1.0.3-4-4.1.1

  (1,2,3) (4,5,6) (7,8,9) (10,11,12)
  (1,7,4,10) (2,9,5,12) (3,8,6,11)
  (1,12,4,9) (2,11,5,8) (3,10,6,7)