Properties

Genus \(15\)
Small Group \(C_{31}\)
Signature \([ 0; 31, 31, 31 ]\)
Generating Vectors \(1\)

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Family Information

Genus: 15
Group name: $C_{31}$
Group identifier: [31,1]
Signature: $[ 0; 31, 31, 31 ]$
Conjugacy classes for this refined passport: 2, 12, 20

Jacobian variety group algebra decomposition:$A_{15}$
Corresponding character(s): 2

Other Data

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

Generating Vector(s)

Displaying the unique generating vector for this refined passport.

15.31-1.0.31-31-31.11.1

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