Properties

Genus \(8\)
Quotient Genus \(0\)
Group \(C_5\times D_4\)
Signature \([ 0; 2, 10, 20 ]\)
Generating Vectors \(1\)

Related objects

Downloads

Learn more about

Family Information

Genus: 8
Quotient Genus: 0
Group name: $C_5\times D_4$
Group identifier: [40,10]
Signature: $[ 0; 2, 10, 20 ]$
Conjugacy classes for this refined passport: 3, 19, 24

Jacobian variety group algebra decomposition:$A_{2}\times A_{2}\times A_{2}^{2}$
Corresponding character(s): 5, 7, 22

Other Data

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

Generating Vector(s)

Displaying the unique generating vector for this refined passport.

8.40-10.0.2-10-20.2.1

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