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, 14, 18

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.

15.31-1.0.31-31-31.13.1

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