Properties

Genus \(13\)
Quotient Genus \(0\)
Group \(C_2^2:C_9\)
Signature \([ 0; 9, 9, 9 ]\)
Generating Vectors \(1\)

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Family Information

Genus: 13
Quotient Genus: 0
Group name: $C_2^2:C_9$
Group identifier: [36,3]
Signature: $[ 0; 9, 9, 9 ]$
Conjugacy classes for this refined passport: 7, 7, 11

The full automorphism group for this family is $C_2\times C_2^2:C_9$ with signature $[ 0; 2, 9, 18 ]$.

Jacobian variety group algebra decomposition:$E\times A_{3}\times A_{3}^{3}$
Corresponding character(s): 2, 4, 11

Generating Vector(s)

Displaying the unique generating vector for this refined passport.

13.36-3.0.9-9-9.1.1

  (1,13,25,5,17,29,9,21,33) (2,16,27,6,20,31,10,24,35) (3,14,28,7,18,32,11,22,36) (4,15,26,8,19,30,12,23,34)
  (1,15,28,5,19,32,9,23,36) (2,14,26,6,18,30,10,22,34) (3,16,25,7,20,29,11,24,33) (4,13,27,8,17,31,12,21,35)
  (1,22,31,5,14,35,9,18,27) (2,23,29,6,15,33,10,19,25) (3,21,30,7,13,34,11,17,26) (4,24,32,8,16,36,12,20,28)