Properties

Label 6.21-2.0.3-7-21.6
Genus \(6\)
Quotient genus \(0\)
Group \(C_{21}\)
Signature \([ 0; 3, 7, 21 ]\)
Generating Vectors \(1\)

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Family Information

Genus: $6$
Quotient genus: $0$
Group name: $C_{21}$
Group identifier: $[21,2]$
Signature: $[ 0; 3, 7, 21 ]$
Conjugacy classes for this refined passport: $2, 9, 14$

Jacobian variety group algebra decomposition:$A_{6}$

Other Data

Hyperelliptic curve(s):no
Cyclic trigonal curve(s):yes
Trigonal automorphism: (1,8,15) (2,9,16) (3,10,17) (4,11,18) (5,12,19) (6,13,20) (7,14,21)

Generating vector(s)

Displaying the unique generating vector for this refined passport.

6.21-2.0.3-7-21.6.1

  (1,8,15) (2,9,16) (3,10,17) (4,11,18) (5,12,19) (6,13,20) (7,14,21)
  (1,7,6,5,4,3,2) (8,14,13,12,11,10,9) (15,21,20,19,18,17,16)
  (1,16,10,4,19,13,7,15,9,3,18,12,6,21,8,2,17,11,5,20,14)