Properties

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: [40,1]
Signature: $[ 0; 8, 8, 10 ]$
Conjugacy classes for this refined passport: 7, 8, 11

The full automorphism group for this family is $Q_8:D_5$ with signature $[ 0; 2, 8, 20 ]$.

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

Generating Vector(s)

Displaying the unique generating vector for this refined passport.

14.40-1.0.8-8-10.1.1

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