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, 4, 28

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.

15.31-1.0.31-31-31.3.1

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