Properties

Label 15.31-1.0.31-31-31.139
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: $17, 19, 29$

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.

15.31-1.0.31-31-31.139.1

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