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, 11, 21

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.

15.31-1.0.31-31-31.10.1

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