Properties

Label 6.15-1.0.5-15-15.3
Genus \(6\)
Quotient genus \(0\)
Group \(C_{15}\)
Signature \([ 0; 5, 15, 15 ]\)
Generating Vectors \(1\)

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Family Information

Genus: $6$
Quotient genus: $0$
Group name: $C_{15}$
Group identifier: $[15,1]$
Signature: $[ 0; 5, 15, 15 ]$
Conjugacy classes for this refined passport: $4, 13, 14$

Jacobian variety group algebra decomposition:$A_{2}\times A_{4}$

Other Data

Hyperelliptic curve(s):no
Cyclic trigonal curve(s):no

Generating vector(s)

Displaying the unique generating vector for this refined passport.

6.15-1.0.5-15-15.3.1

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