Properties

Genus \(10\)
Quotient Genus \(0\)
Group \(C_5:Q_8\)
Signature \([ 0; 4, 4, 20 ]\)
Generating Vectors \(1\)

Related objects

Downloads

Learn more about

Family Information

Genus: 10
Quotient Genus: 0
Group name: $C_5:Q_8$
Group identifier: [40,4]
Signature: $[ 0; 4, 4, 20 ]$
Conjugacy classes for this refined passport: 4, 5, 10

The full automorphism group for this family is $C_8:D_5$ with signature $[ 0; 2, 4, 40 ]$.

Jacobian variety group algebra decomposition:$A_{2}\times A_{8}$
Corresponding character(s): 5, 10

Generating Vector(s)

Displaying the unique generating vector for this refined passport.

10.40-4.0.4-4-20.1.1

  (1,21,6,26) (2,25,7,30) (3,24,8,29) (4,23,9,28) (5,22,10,27) (11,36,16,31) (12,40,17,35) (13,39,18,34) (14,38,19,33) (15,37,20,32)
  (1,35,6,40) (2,34,7,39) (3,33,8,38) (4,32,9,37) (5,31,10,36) (11,25,16,30) (12,24,17,29) (13,23,18,28) (14,22,19,27) (15,21,20,26)
  (1,12,8,19,5,11,7,18,4,15,6,17,3,14,10,16,2,13,9,20) (21,32,28,39,25,31,27,38,24,35,26,37,23,34,30,36,22,33,29,40)