Properties

Genus \(5\)
Small Group \(C_{15}\)
Signature \([ 0; 3, 15, 15 ]\)
Generating Vectors \(1\)

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Family Information

Genus: 5
Group name: $C_{15}$
Group identifier: [15,1]
Signature: $[ 0; 3, 15, 15 ]$
Conjugacy classes for this refined passport: 2, 11, 14

The full automorphism group for this family is $C_3\times D_5$ with signature $[ 0; 2, 6, 15 ]$.

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

Other Data

Generating Vector(s)

Displaying the unique generating vector for this refined passport.

5.15-1.0.3-15-15.2.1

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