Properties

Label 12.12-2.0.2-3-6-12-12.3
Genus \(12\)
Quotient genus \(0\)
Group \(C_{12}\)
Signature \([ 0; 2, 3, 6, 12, 12 ]\)
Generating Vectors \(1\)

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Family Information

Genus: $12$
Quotient genus: $0$
Group name: $C_{12}$
Group identifier: $[12,2]$
Signature: $[ 0; 2, 3, 6, 12, 12 ]$
Conjugacy classes for this refined passport: $2, 3, 8, 10, 11$

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

Other Data

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

Generating vector(s)

Displaying the unique generating vector for this refined passport.

12.12-2.0.2-3-6-12-12.3.1

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