Properties

Genus \(15\)
Quotient Genus \(0\)
Group \(C_{40}\)
Signature \([ 0; 4, 40, 40 ]\)
Generating Vectors \(1\)

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Family Information

Genus: 15
Quotient Genus: 0
Group name: $C_{40}$
Group identifier: [40,2]
Signature: $[ 0; 4, 40, 40 ]$
Conjugacy classes for this refined passport: 3, 25, 36

The full automorphism group for this family is $C_{40}:C_2$ with signature $[ 0; 2, 8, 40 ]$.

Jacobian variety group algebra decomposition:$A_{2}\times E\times A_{8}\times A_{4}$
Corresponding character(s): 2, 3, 10, 11

Generating Vector(s)

Displaying the unique generating vector for this refined passport.

15.40-2.0.4-40-40.1.1

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