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: 7, 14, 25

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.

7.27-2.0.3-9-9.32.1

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