Properties

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

Related objects

Downloads

Learn more about

Family Information

Genus: 5
Group name: $C_{15}$
Group identifier: [15,1]
Signature: $[ 0; 3, 15, 15 ]$
Conjugacy classes for this refined passport: 2, 8, 10

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.

5.15-1.0.3-15-15.1.1

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