Properties

Label 14.40-2.0.5-8-40.5
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: $6, 9, 34$

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.

14.40-2.0.5-8-40.5.1

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