Properties

Label 15.31-1.0.31-31-31.93
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: $10, 10, 14$

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.

15.31-1.0.31-31-31.93.1

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