Properties

Label 15.31-1.0.31-31-31.5
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: $2, 6, 26$

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.

15.31-1.0.31-31-31.5.1

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