Properties

Genus \(7\)
Quotient Genus \(0\)
Group \(C_{15}\)
Signature \([ 0; 15, 15, 15 ]\)
Generating Vectors \(1\)

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Family Information

Genus: 7
Quotient Genus: 0
Group name: $C_{15}$
Group identifier: [15,1]
Signature: $[ 0; 15, 15, 15 ]$
Conjugacy classes for this refined passport: 8, 8, 14

The full automorphism group for this family is $C_{30}$ with signature $[ 0; 2, 15, 30 ]$.

Jacobian variety group algebra decomposition:$E\times A_{2}\times A_{4}$
Corresponding character(s): 2, 4, 5

Generating Vector(s)

Displaying the unique generating vector for this refined passport.

7.15-1.0.15-15-15.1.1

  (1,7,13,4,10,11,2,8,14,5,6,12,3,9,15)
  (1,7,13,4,10,11,2,8,14,5,6,12,3,9,15)
  (1,9,12,5,8,11,4,7,15,3,6,14,2,10,13)