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, 10, 22

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.

15.31-1.0.31-31-31.9.1

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