Properties

Label 15.31-1.0.31-31-31.53
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: $5, 29, 31$

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.

15.31-1.0.31-31-31.53.1

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