Properties

Genus \(12\)
Small Group \(C_{27}\)
Signature \([ 0; 9, 27, 27 ]\)
Generating Vectors \(1\)

Related objects

Downloads

Learn more about

Family Information

Genus: 12
Group name: $C_{27}$
Group identifier: [27,1]
Signature: $[ 0; 9, 27, 27 ]$
Conjugacy classes for this refined passport: 9, 13, 26

Jacobian variety group algebra decomposition:$A_{9}\times A_{3}$
Corresponding character(s): 2, 4

Other Data

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

Generating Vector(s)

Displaying the unique generating vector for this refined passport.

12.27-1.0.9-27-27.48.1

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