Properties

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

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Family Information

Genus: 3
Quotient Genus: 0
Group name: $C_7$
Group identifier: [7,1]
Signature: $[ 0; 7, 7, 7 ]$
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:$A_{3}$
Corresponding character(s): 2

Generating Vector(s)

Displaying the unique generating vector for this refined passport.

3.7-1.0.7-7-7.2.1

  (1,2,3,4,5,6,7)
  (1,3,5,7,2,4,6)
  (1,5,2,6,3,7,4)