Properties

Label 12.3-1.0.3-3-3-3-3-3-3-3-3-3-3-3-3-3.2
Genus \(12\)
Quotient genus \(0\)
Group \(C_3\)
Signature \([ 0; 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3 ]\)
Generating Vectors \(1\)

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Family Information

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

Jacobian variety group algebra decomposition:$A_{12}$
Corresponding character(s): $2$

Other Data

Hyperelliptic curve(s):no
Cyclic trigonal curve(s):no

Generating vector(s)

Displaying the unique generating vector for this refined passport.

12.3-1.0.3-3-3-3-3-3-3-3-3-3-3-3-3-3.2.1

  (1,2,3)
  (1,2,3)
  (1,2,3)
  (1,2,3)
  (1,2,3)
  (1,2,3)
  (1,2,3)
  (1,2,3)
  (1,2,3)
  (1,2,3)
  (1,3,2)
  (1,3,2)
  (1,3,2)
  (1,3,2)