Properties

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, 2, 30

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

Jacobian variety group algebra decomposition:$A_{15}$
Corresponding character(s): 2

Generating Vector(s)

Displaying the unique generating vector for this refined passport.

15.31-1.0.31-31-31.1.1

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