Properties

Label 7.12-2.0.3-4-4-6.3
Genus \(7\)
Quotient genus \(0\)
Group \(C_{12}\)
Signature \([ 0; 3, 4, 4, 6 ]\)
Generating Vectors \(1\)

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Family Information

Genus: $7$
Quotient genus: $0$
Group name: $C_{12}$
Group identifier: $[12,2]$
Signature: $[ 0; 3, 4, 4, 6 ]$
Conjugacy classes for this refined passport: $4, 5, 5, 7$

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

Other Data

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

Generating vector(s)

Displaying the unique generating vector for this refined passport.

7.12-2.0.3-4-4-6.3.1

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