Properties

Label 12.12-2.0.2-2-2-3-4-12.3
Genus \(12\)
Quotient genus \(0\)
Group \(C_{12}\)
Signature \([ 0; 2, 2, 2, 3, 4, 12 ]\)
Generating Vectors \(1\)

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Family Information

Genus: $12$
Quotient genus: $0$
Group name: $C_{12}$
Group identifier: $[12,2]$
Signature: $[ 0; 2, 2, 2, 3, 4, 12 ]$
Conjugacy classes for this refined passport: $2, 2, 2, 4, 5, 9$

Jacobian variety group algebra decomposition:$A_{3}\times A_{8}\times E$

Other Data

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

Generating vector(s)

Displaying the unique generating vector for this refined passport.

12.12-2.0.2-2-2-3-4-12.3.1

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