Properties

Genus \(8\)
Quotient Genus \(0\)
Group \(C_9:C_4\)
Signature \([ 0; 4, 4, 9 ]\)
Generating Vectors \(1\)

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Family Information

Genus: 8
Quotient Genus: 0
Group name: $C_9:C_4$
Group identifier: [36,1]
Signature: $[ 0; 4, 4, 9 ]$
Conjugacy classes for this refined passport: 4, 5, 7

The full automorphism group for this family is $C_9:D_4$ with signature $[ 0; 2, 4, 18 ]$.

Jacobian variety group algebra decomposition:$A_{2}\times A_{6}$
Corresponding character(s): 5, 8

Generating Vector(s)

Displaying the unique generating vector for this refined passport.

8.36-1.0.4-4-9.1.1

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