Properties

Genus \(14\)
Quotient Genus \(0\)
Group \(C_5\times Q_8\)
Signature \([ 0; 4, 20, 20 ]\)
Generating Vectors \(1\)

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Family Information

Genus: 14
Quotient Genus: 0
Group name: $C_5\times Q_8$
Group identifier: [40,11]
Signature: $[ 0; 4, 20, 20 ]$
Conjugacy classes for this refined passport: 3, 19, 24

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

Jacobian variety group algebra decomposition:$A_{2}\times A_{2}\times A_{2}\times A_{4}^{2}$
Corresponding character(s): 5, 6, 21, 22

Generating Vector(s)

Displaying the unique generating vector for this refined passport.

14.40-11.0.4-20-20.2.1

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