Properties

Label 15.31-1.0.31-31-31.71
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: $7, 12, 15$

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.

15.31-1.0.31-31-31.71.1

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