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, 5

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.

3.21-1.0.3-3-7.2.1

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