Properties

Label 15.20-2.0.4-5-10-20.15
Genus \(15\)
Quotient genus \(0\)
Group \(C_{20}\)
Signature \([ 0; 4, 5, 10, 20 ]\)
Generating Vectors \(1\)

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Family Information

Genus: $15$
Quotient genus: $0$
Group name: $C_{20}$
Group identifier: $[20,2]$
Signature: $[ 0; 4, 5, 10, 20 ]$
Conjugacy classes for this refined passport: $4, 5, 11, 15$

Jacobian variety group algebra decomposition:$E\times A_{2}\times A_{8}\times A_{4}$

Other Data

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

Generating vector(s)

Displaying the unique generating vector for this refined passport.

15.20-2.0.4-5-10-20.15.1

  (1,12,2,11) (3,14,4,13) (5,16,6,15) (7,18,8,17) (9,20,10,19)
  (1,3,5,7,9) (2,4,6,8,10) (11,13,15,17,19) (12,14,16,18,20)
  (1,6,9,4,7,2,5,10,3,8) (11,16,19,14,17,12,15,20,13,18)
  (1,16,10,13,7,12,6,19,3,18,2,15,9,14,8,11,5,20,4,17)