Properties

Label 15.31-1.0.31-31-31.73
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: $7, 27, 31$

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.

15.31-1.0.31-31-31.73.1

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