Properties

Label 12.27-1.0.9-27-27.5
Genus \(12\)
Quotient genus \(0\)
Group \(C_{27}\)
Signature \([ 0; 9, 27, 27 ]\)
Generating Vectors \(1\)

Related objects

Downloads

Learn more

Family Information

Genus: $12$
Quotient genus: $0$
Group name: $C_{27}$
Group identifier: $[27,1]$
Signature: $[ 0; 9, 27, 27 ]$
Conjugacy classes for this refined passport: $4, 14, 21$

Jacobian variety group algebra decomposition:$A_{9}\times A_{3}$

Other Data

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

Generating vector(s)

Displaying the unique generating vector for this refined passport.

12.27-1.0.9-27-27.5.1

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