Properties

Label 7.12-2.0.2-4-6-12.2
Genus \(7\)
Quotient genus \(0\)
Group \(C_{12}\)
Signature \([ 0; 2, 4, 6, 12 ]\)
Generating Vectors \(1\)

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Family Information

Genus: $7$
Quotient genus: $0$
Group name: $C_{12}$
Group identifier: $[12,2]$
Signature: $[ 0; 2, 4, 6, 12 ]$
Conjugacy classes for this refined passport: $2, 5, 8, 11$

Jacobian variety group algebra decomposition:$A_{2}\times A_{4}\times E$

Other Data

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

Generating vector(s)

Displaying the unique generating vector for this refined passport.

7.12-2.0.2-4-6-12.2.1

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