Properties

Genus \(7\)
Quotient Genus \(0\)
Group \(C_9:C_3\)
Signature \([ 0; 3, 9, 9 ]\)
Generating Vectors \(1\)

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Family Information

Genus: 7
Quotient Genus: 0
Group name: $C_9:C_3$
Group identifier: [27,4]
Signature: $[ 0; 3, 9, 9 ]$
Conjugacy classes for this refined passport: 4, 7, 10

The full automorphism group for this family is $D_9:C_3$ with signature $[ 0; 2, 6, 9 ]$.

Jacobian variety group algebra decomposition:$E\times A_{2}^{3}$
Corresponding character(s): 3, 10

Generating Vector(s)

Displaying the unique generating vector for this refined passport.

7.27-4.0.3-9-9.2.1

  (1,4,7) (2,5,8) (3,6,9) (10,13,16) (11,14,17) (12,15,18) (19,22,25) (20,23,26) (21,24,27)
  (1,19,11,3,21,10,2,20,12) (4,24,15,6,23,14,5,22,13) (7,26,16,9,25,18,8,27,17)
  (1,18,22,2,16,23,3,17,24) (4,10,27,5,11,25,6,12,26) (7,14,20,8,15,21,9,13,19)