Properties

Genus \(7\)
Quotient Genus \(0\)
Group \(C_{21}\)
Signature \([ 0; 3, 21, 21 ]\)
Generating Vectors \(1\)

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Family Information

Genus: 7
Quotient Genus: 0
Group name: $C_{21}$
Group identifier: [21,2]
Signature: $[ 0; 3, 21, 21 ]$
Conjugacy classes for this refined passport: 2, 12, 15

The full automorphism group for this family is $C_3\times D_7$ with signature $[ 0; 2, 6, 21 ]$.

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

Generating Vector(s)

Displaying the unique generating vector for this refined passport.

7.21-2.0.3-21-21.2.1

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