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: 5, 11, 20

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.

7.27-2.0.3-9-9.11.1

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