Properties

Label 14.40-3.0.8-8-10.2
Genus \(14\)
Quotient genus \(0\)
Group \(C_5:C_8\)
Signature \([ 0; 8, 8, 10 ]\)
Generating Vectors \(1\)

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Family Information

Genus: $14$
Quotient genus: $0$
Group name: $C_5:C_8$
Group identifier: $[40,3]$
Signature: $[ 0; 8, 8, 10 ]$
Conjugacy classes for this refined passport: $8, 9, 10$

Jacobian variety group algebra decomposition:$A_{2}\times E^{4}\times A_{4}^{2}$
Corresponding character(s): $5, 9, 10$

Other Data

Hyperelliptic curve(s):no
Cyclic trigonal curve(s):no

Generating vector(s)

Displaying the unique generating vector for this refined passport.

14.40-3.0.8-8-10.2.1

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