Properties

Label 15.31-1.0.31-31-31.112
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: $13, 22, 30$

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.

15.31-1.0.31-31-31.112.1

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