Properties

Label 14.40-2.0.5-8-40.13
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: $8, 9, 37$

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.

14.40-2.0.5-8-40.13.1

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