Properties

Genus \(8\)
Quotient Genus \(0\)
Group \(C_{20}\)
Signature \([ 0; 5, 20, 20 ]\)
Generating Vectors \(1\)

Related objects

Downloads

Learn more about

Family Information

Genus: 8
Quotient Genus: 0
Group name: $C_{20}$
Group identifier: [20,2]
Signature: $[ 0; 5, 20, 20 ]$
Conjugacy classes for this refined passport: 5, 13, 14

Jacobian variety group algebra decomposition:$A_{2}\times A_{4}\times A_{2}$
Corresponding character(s): 5, 6, 7

Other Data

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

Generating Vector(s)

Displaying the unique generating vector for this refined passport.

8.20-2.0.5-20-20.1.1

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