Properties

Genus \(13\)
Quotient Genus \(0\)
Group \(C_3\times C_3:C_4\)
Signature \([ 0; 6, 12, 12 ]\)
Generating Vectors \(1\)

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Family Information

Genus: 13
Quotient Genus: 0
Group name: $C_3\times C_3:C_4$
Group identifier: [36,6]
Signature: $[ 0; 6, 12, 12 ]$
Conjugacy classes for this refined passport: 12, 15, 16

The full automorphism group for this family is $S_3^2:C_4$ with signature $[ 0; 2, 4, 12 ]$.

Jacobian variety group algebra decomposition:$E\times A_{2}\times A_{2}\times A_{2}^{2}\times A_{2}^{2}$
Corresponding character(s): 7, 9, 14, 15, 16

Generating Vector(s)

Displaying the unique generating vector for this refined passport.

13.36-6.0.6-12-12.1.1

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