Properties

Label 15.31-1.0.31-31-31.22
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: $3, 9, 22$

Jacobian variety group algebra decomposition:$A_{15}$

Other Data

Hyperelliptic curve(s):no
Cyclic trigonal curve(s):no

Generating vector(s)

Displaying the unique generating vector for this refined passport.

15.31-1.0.31-31-31.22.1

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