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: 8, 16, 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.

7.27-2.0.3-9-9.43.1

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