Properties

Label 9.27-1.0.3-27-27.1
Genus \(9\)
Quotient genus \(0\)
Group \(C_{27}\)
Signature \([ 0; 3, 27, 27 ]\)
Generating Vectors \(1\)

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Family Information

Genus: $9$
Quotient genus: $0$
Group name: $C_{27}$
Group identifier: $[27,1]$
Signature: $[ 0; 3, 27, 27 ]$
Conjugacy classes for this refined passport: $2, 10, 21$

Jacobian variety group algebra decomposition:$A_{9}$

Other Data

Hyperelliptic curve(s):no
Cyclic trigonal curve(s):yes
Trigonal automorphism: (1,2,3) (4,5,6) (7,8,9) (10,11,12) (13,14,15) (16,17,18) (19,20,21) (22,23,24) (25,26,27)

Generating vector(s)

Displaying the unique generating vector for this refined passport.

9.27-1.0.3-27-27.1.1

  (1,2,3) (4,5,6) (7,8,9) (10,11,12) (13,14,15) (16,17,18) (19,20,21) (22,23,24) (25,26,27)
  (1,10,19,4,13,22,7,16,25,2,11,20,5,14,23,8,17,26,3,12,21,6,15,24,9,18,27)
  (1,26,16,9,23,13,6,20,10,3,25,18,8,22,15,5,19,12,2,27,17,7,24,14,4,21,11)