Properties

Label 15.20-2.0.4-5-10-20.19
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: $4, 7, 9, 17$

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.

15.20-2.0.4-5-10-20.19.1

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