Properties

Label 15.31-1.0.31-31-31.105
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: $11, 27, 27$

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.

15.31-1.0.31-31-31.105.1

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