Properties

Label 15.31-1.0.31-31-31.26
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: $3, 13, 18$

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.

15.31-1.0.31-31-31.26.1

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