Properties

Label 12.12-2.0.3-4-4-4-12.1
Genus \(12\)
Quotient genus \(0\)
Group \(C_{12}\)
Signature \([ 0; 3, 4, 4, 4, 12 ]\)
Generating Vectors \(1\)

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Family Information

Genus: $12$
Quotient genus: $0$
Group name: $C_{12}$
Group identifier: $[12,2]$
Signature: $[ 0; 3, 4, 4, 4, 12 ]$
Conjugacy classes for this refined passport: $3, 5, 5, 5, 10$

Jacobian variety group algebra decomposition:$A_{2}\times E\times A_{6}\times A_{3}$

Other Data

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

Generating vector(s)

Displaying the unique generating vector for this refined passport.

12.12-2.0.3-4-4-4-12.1.1

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