Properties

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

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Family Information

Genus: 7
Quotient Genus: 0
Group name: $C_3\times C_9$
Group identifier: [27,2]
Signature: $[ 0; 3, 9, 9 ]$
Conjugacy classes for this refined passport: 9, 12, 23

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

Jacobian variety group algebra decomposition:$A_{3}\times A_{3}\times E$
Corresponding character(s): 5, 6, 11

Generating Vector(s)

Displaying the unique generating vector for this refined passport.

7.27-2.0.3-9-9.48.1

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