Properties

Label 14.40-2.0.5-8-40.7
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: $6, 11, 26$

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.

14.40-2.0.5-8-40.7.1

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