Properties

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

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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, 18, 25

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.

8.40-10.0.2-10-20.1.1

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