Properties

Genus \(8\)
Quotient Genus \(0\)
Group \(C_2\times C_{10}\)
Signature \([ 0; 10, 10, 10 ]\)
Generating Vectors \(1\)

Related objects

Downloads

Learn more about

Family Information

Genus: 8
Quotient Genus: 0
Group name: $C_2\times C_{10}$
Group identifier: [20,5]
Signature: $[ 0; 10, 10, 10 ]$
Conjugacy classes for this refined passport: 9, 14, 17

The full automorphism group for this family is $C_5\times D_4$ with signature $[ 0; 2, 10, 20 ]$.

Jacobian variety group algebra decomposition:$A_{2}\times A_{2}\times A_{2}\times A_{2}$
Corresponding character(s): 5, 6, 7, 8

Generating Vector(s)

Displaying the unique generating vector for this refined passport.

8.20-5.0.10-10-10.2.1

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