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: 3, 5, 26

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.

15.31-1.0.31-31-31.18.1

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