Properties

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

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Family Information

Genus: 15
Quotient Genus: 0
Group name: $C_{31}$
Group identifier: [31,1]
Signature: $[ 0; 31, 31, 31 ]$
Conjugacy classes for this refined passport: 2, 8, 24

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.

15.31-1.0.31-31-31.7.1

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