Properties

Label 6.39-1.0.3-3-13.1
Genus \(6\)
Quotient genus \(0\)
Group \(C_{13}:C_3\)
Signature \([ 0; 3, 3, 13 ]\)
Generating Vectors \(1\)

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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: $2, 3, 4$

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.

6.39-1.0.3-3-13.1.1

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