Properties

Genus \(3\)
Quotient Genus \(0\)
Group \(C_7:C_3\)
Signature \([ 0; 3, 3, 7 ]\)
Generating Vectors \(1\)

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Family Information

Genus: 3
Quotient Genus: 0
Group name: $C_7:C_3$
Group identifier: [21,1]
Signature: $[ 0; 3, 3, 7 ]$
Conjugacy classes for this refined passport: 2, 3, 4

The full automorphism group for this family is $\PSL(2,7)$ with signature $[ 0; 2, 3, 7 ]$.

Jacobian variety group algebra decomposition:$E^{3}$
Corresponding character(s): 4

Generating Vector(s)

Displaying the unique generating vector for this refined passport.

3.21-1.0.3-3-7.1.1

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