Properties

Label 14.40-2.0.5-8-40.11
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: $7, 11, 35$

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.

14.40-2.0.5-8-40.11.1

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