Properties

Label 6.15-1.0.5-15-15.4
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: $5, 8, 9$

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.

6.15-1.0.5-15-15.4.1

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