Properties

Label 5.15-1.0.3-15-15.4
Genus \(5\)
Quotient genus \(0\)
Group \(C_{15}\)
Signature \([ 0; 3, 15, 15 ]\)
Generating Vectors \(1\)

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Family Information

Genus: $5$
Quotient genus: $0$
Group name: $C_{15}$
Group identifier: $[15,1]$
Signature: $[ 0; 3, 15, 15 ]$
Conjugacy classes for this refined passport: $3, 13, 15$

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

Jacobian variety group algebra decomposition:$E\times A_{4}$

Generating vector(s)

Displaying the unique generating vector for this refined passport.

5.15-1.0.3-15-15.4.1

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