Properties

Genus \(10\)
Quotient Genus \(0\)
Group \(C_{21}\)
Signature \([ 0; 21, 21, 21 ]\)
Generating Vectors \(1\)

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Family Information

Genus: 10
Quotient Genus: 0
Group name: $C_{21}$
Group identifier: [21,2]
Signature: $[ 0; 21, 21, 21 ]$
Conjugacy classes for this refined passport: 10, 10, 20

The full automorphism group for this family is $C_{42}$ with signature $[ 0; 2, 21, 42 ]$.

Jacobian variety group algebra decomposition:$E\times A_{3}\times A_{6}$
Corresponding character(s): 2, 4, 5

Generating Vector(s)

Displaying the unique generating vector for this refined passport.

10.21-2.0.21-21-21.1.1

  (1,9,17,4,12,20,7,8,16,3,11,19,6,14,15,2,10,18,5,13,21)
  (1,9,17,4,12,20,7,8,16,3,11,19,6,14,15,2,10,18,5,13,21)
  (1,13,18,2,14,19,3,8,20,4,9,21,5,10,15,6,11,16,7,12,17)