Properties

Label 12.39-2.0.3-13-39.17
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: $3, 8, 36$

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.

12.39-2.0.3-13-39.17.1

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