Properties

Label 14.40-2.0.5-8-40.10
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: $7, 10, 39$

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.

14.40-2.0.5-8-40.10.1

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