Properties

Label 7.6-2.0.2-2-2-6-6-6.1
Genus \(7\)
Quotient genus \(0\)
Group \(C_6\)
Signature \([ 0; 2, 2, 2, 6, 6, 6 ]\)
Generating Vectors \(1\)

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Family Information

Genus: $7$
Quotient genus: $0$
Group name: $C_6$
Group identifier: $[6,2]$
Signature: $[ 0; 2, 2, 2, 6, 6, 6 ]$
Conjugacy classes for this refined passport: $2, 2, 2, 5, 5, 5$

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

Other Data

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

Generating vector(s)

Displaying the unique generating vector for this refined passport.

7.6-2.0.2-2-2-6-6-6.1.1

  (1,4) (2,5) (3,6)
  (1,4) (2,5) (3,6)
  (1,4) (2,5) (3,6)
  (1,5,3,4,2,6)
  (1,5,3,4,2,6)
  (1,5,3,4,2,6)