Properties

Genus \(4\)
Quotient Genus \(0\)
Group \(C_2\times C_{10}\)
Signature \([ 0; 2, 10, 10 ]\)
Generating Vectors \(1\)

Related objects

Downloads

Learn more about

Family Information

Genus: 4
Quotient Genus: 0
Group name: $C_2\times C_{10}$
Group identifier: [20,5]
Signature: $[ 0; 2, 10, 10 ]$
Conjugacy classes for this refined passport: 2, 13, 20

The full automorphism group for this family is $C_5:D_4$ with signature $[ 0; 2, 4, 10 ]$.

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

Generating Vector(s)

Displaying the unique generating vector for this refined passport.

4.20-5.0.2-10-10.1.1

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