Properties

Label 15.31-1.0.31-31-31.137
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: $17, 17, 31$

The full automorphism group for this family is $C_{62}$ with signature $[ 0; 2, 31, 62 ]$.

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

Generating vector(s)

Displaying the unique generating vector for this refined passport.

15.31-1.0.31-31-31.137.1

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