Properties

Label 15.31-1.0.31-31-31.150
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: $18, 23, 24$

The full automorphism group for this family is $C_{31}:C_3$ with signature $[ 0; 3, 3, 31 ]$.

Jacobian variety group algebra decomposition:$A_{15}$

Generating vector(s)

Displaying the unique generating vector for this refined passport.

15.31-1.0.31-31-31.150.1

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