Properties

Label 10.15-1.0.3-5-5-15.4
Genus \(10\)
Quotient genus \(0\)
Group \(C_{15}\)
Signature \([ 0; 3, 5, 5, 15 ]\)
Generating Vectors \(1\)

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Family Information

Genus: $10$
Quotient genus: $0$
Group name: $C_{15}$
Group identifier: $[15,1]$
Signature: $[ 0; 3, 5, 5, 15 ]$
Conjugacy classes for this refined passport: $2, 5, 5, 13$

Jacobian variety group algebra decomposition:$A_{2}\times A_{8}$

Other Data

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

Generating vector(s)

Displaying the unique generating vector for this refined passport.

10.15-1.0.3-5-5-15.4.1

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