Properties

Label 9.27-1.0.3-27-27.16
Genus \(9\)
Quotient genus \(0\)
Group \(C_{27}\)
Signature \([ 0; 3, 27, 27 ]\)
Generating Vectors \(1\)

Related objects

Downloads

Learn more

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: $3, 19, 24$

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.

9.27-1.0.3-27-27.16.1

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