Properties

Label 6.39-1.0.3-3-13.2
Genus \(6\)
Quotient genus \(0\)
Group \(C_{13}:C_3\)
Signature \([ 0; 3, 3, 13 ]\)
Generating Vectors \(1\)

Related objects

Downloads

Learn more

Family Information

Genus: $6$
Quotient genus: $0$
Group name: $C_{13}:C_3$
Group identifier: $[39,1]$
Signature: $[ 0; 3, 3, 13 ]$
Conjugacy classes for this refined passport: $2, 3, 5$

Jacobian variety group algebra decomposition:$A_{2}^{3}$
Corresponding character(s): $4$

Other Data

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

Generating vector(s)

Displaying the unique generating vector for this refined passport.

6.39-1.0.3-3-13.2.1

  (1,14,27) (2,17,36) (3,20,32) (4,23,28) (5,26,37) (6,16,33) (7,19,29) (8,22,38) (9,25,34) (10,15,30) (11,18,39) (12,21,35) (13,24,31)
  (1,34,19) (2,30,22) (3,39,25) (4,35,15) (5,31,18) (6,27,21) (7,36,24) (8,32,14) (9,28,17) (10,37,20) (11,33,23) (12,29,26) (13,38,16)
  (1,7,13,6,12,5,11,4,10,3,9,2,8) (14,20,26,19,25,18,24,17,23,16,22,15,21) (27,33,39,32,38,31,37,30,36,29,35,28,34)