Properties

Label 15.31-1.0.31-31-31.83
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: $8, 27, 30$

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.

15.31-1.0.31-31-31.83.1

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