Properties

Genus \(15\)
Quotient Genus \(0\)
Group \(C_5:C_8\)
Signature \([ 0; 8, 8, 20 ]\)
Generating Vectors \(1\)

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Family Information

Genus: 15
Quotient Genus: 0
Group name: $C_5:C_8$
Group identifier: [40,1]
Signature: $[ 0; 8, 8, 20 ]$
Conjugacy classes for this refined passport: 7, 7, 14

The full automorphism group for this family is $C_8\times D_5$ with signature $[ 0; 2, 8, 40 ]$.

Jacobian variety group algebra decomposition:$E\times A_{2}\times A_{4}\times A_{8}$
Corresponding character(s): 3, 5, 11, 13

Generating Vector(s)

Displaying the unique generating vector for this refined passport.

15.40-1.0.8-8-20.1.1

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