Properties

Genus \(10\)
Quotient Genus \(0\)
Group \(C_3\times C_9\)
Signature \([ 0; 9, 9, 9 ]\)
Generating Vectors \(1\)

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Family Information

Genus: 10
Quotient Genus: 0
Group name: $C_3\times C_9$
Group identifier: [27,2]
Signature: $[ 0; 9, 9, 9 ]$
Conjugacy classes for this refined passport: 10, 16, 26

The full automorphism group for this family is $C_3^2:S_3:C_3$ with signature $[ 0; 2, 3, 18 ]$.

Jacobian variety group algebra decomposition:$A_{3}\times A_{3}\times A_{3}\times E$
Corresponding character(s): 4, 5, 6, 10

Generating Vector(s)

Displaying the unique generating vector for this refined passport.

10.27-2.0.9-9-9.1.1

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