Properties

Genus \(4\)
Small Group \(C_{12}\)
Signature \([ 0; 4, 6, 12 ]\)
Generating Vectors \(1\)

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Family Information

Genus: 4
Group name: $C_{12}$
Group identifier: [12,2]
Signature: $[ 0; 4, 6, 12 ]$
Conjugacy classes for this refined passport: 5, 8, 9

Jacobian variety group algebra decomposition:$E\times A_{2}\times E$
Corresponding character(s): 2, 6, 7

Other Data

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

Generating Vector(s)

Displaying the unique generating vector for this refined passport.

4.12-2.0.4-6-12.2.1

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