Properties

Label 15.20-2.0.4-5-10-20.11
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: $3, 8, 11, 16$

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.

15.20-2.0.4-5-10-20.11.1

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