Properties

Genus \(14\)
Quotient Genus \(0\)
Group \(C_{40}\)
Signature \([ 0; 5, 8, 40 ]\)
Generating Vectors \(1\)

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Family Information

Genus: 14
Quotient Genus: 0
Group name: $C_{40}$
Group identifier: [40,2]
Signature: $[ 0; 5, 8, 40 ]$
Conjugacy classes for this refined passport: 5, 9, 40

Jacobian variety group algebra decomposition:$A_{8}\times A_{4}\times A_{2}$
Corresponding character(s): 10, 11, 13

Other Data

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

Generating Vector(s)

Displaying the unique generating vector for this refined passport.

14.40-2.0.5-8-40.1.1

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