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, 13, 26

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.

7.27-2.0.3-9-9.40.1

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