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, 18, 25

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.

14.40-11.0.4-20-20.1.1

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