Properties

Label 12.39-2.0.3-13-39.23
Genus \(12\)
Quotient genus \(0\)
Group \(C_{39}\)
Signature \([ 0; 3, 13, 39 ]\)
Generating Vectors \(1\)

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Family Information

Genus: $12$
Quotient genus: $0$
Group name: $C_{39}$
Group identifier: $[39,2]$
Signature: $[ 0; 3, 13, 39 ]$
Conjugacy classes for this refined passport: $3, 14, 32$

Jacobian variety group algebra decomposition:$A_{12}$

Other Data

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

Generating vector(s)

Displaying the unique generating vector for this refined passport.

12.39-2.0.3-13-39.23.1

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