Properties

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

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Family Information

Genus: 4
Quotient Genus: 0
Group name: $C_{12}$
Group identifier: [12,2]
Signature: $[ 0; 4, 6, 12 ]$
Conjugacy classes for this refined passport: 6, 7, 12

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.

4.12-2.0.4-6-12.3.1

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