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: 5, 7, 10

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.

4.12-2.0.4-6-12.1.1

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