Properties

Label 13.21-2.0.3-3-7-21.3
Genus \(13\)
Quotient genus \(0\)
Group \(C_{21}\)
Signature \([ 0; 3, 3, 7, 21 ]\)
Generating Vectors \(1\)

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Family Information

Genus: $13$
Quotient genus: $0$
Group name: $C_{21}$
Group identifier: $[21,2]$
Signature: $[ 0; 3, 3, 7, 21 ]$
Conjugacy classes for this refined passport: $2, 2, 6, 12$

Jacobian variety group algebra decomposition:$E\times A_{12}$

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.

13.21-2.0.3-3-7-21.3.1

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