Properties

Label 15.31-1.0.31-31-31.157
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: $20, 21, 24$

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.

15.31-1.0.31-31-31.157.1

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