Properties

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

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Family Information

Genus: 13
Quotient Genus: 0
Group name: $C_3\times C_{12}$
Group identifier: [36,8]
Signature: $[ 0; 6, 12, 12 ]$
Conjugacy classes for this refined passport: 13, 25, 30

The full automorphism group for this family is $C_{12}\times S_3$ with signature $[ 0; 2, 12, 12 ]$.

Jacobian variety group algebra decomposition:$E\times A_{2}\times E\times A_{2}\times E\times A_{2}\times E\times A_{2}\times E$
Corresponding character(s): 2, 6, 7, 14, 17, 18, 19, 22, 23

Generating Vector(s)

Displaying the unique generating vector for this refined passport.

13.36-8.0.6-12-12.1.1

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