Properties

Genus \(10\)
Quotient Genus \(0\)
Group \(C_6\times S_3\)
Signature \([ 0; 6, 6, 6 ]\)
Generating Vectors \(1\)

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Family Information

Genus: 10
Quotient Genus: 0
Group name: $C_6\times S_3$
Group identifier: [36,12]
Signature: $[ 0; 6, 6, 6 ]$
Conjugacy classes for this refined passport: 12, 15, 18

The full automorphism group for this family is $C_3^2:D_4$ with signature $[ 0; 2, 6, 12 ]$.

Jacobian variety group algebra decomposition:$E\times E\times A_{2}^{2}\times A_{2}^{2}$
Corresponding character(s): 5, 6, 15, 16

Generating Vector(s)

Displaying the unique generating vector for this refined passport.

10.36-12.0.6-6-6.1.1

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