Properties

Label 14.40-2.0.5-8-40.8
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: $6, 12, 38$

Jacobian variety group algebra decomposition:$A_{8}\times A_{4}\times A_{2}$

Other Data

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

Generating vector(s)

Displaying the unique generating vector for this refined passport.

14.40-2.0.5-8-40.8.1

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