Properties

Genus \(4\)
Quotient Genus \(0\)
Group \(C_3:S_3.C_2\)
Signature \([ 0; 3, 4, 4 ]\)
Generating Vectors \(1\)

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Family Information

Genus: 4
Quotient Genus: 0
Group name: $C_3:S_3.C_2$
Group identifier: [36,9]
Signature: $[ 0; 3, 4, 4 ]$
Conjugacy classes for this refined passport: 3, 5, 6

The full automorphism group for this family is $S_3\wr C_2$ with signature $[ 0; 2, 4, 6 ]$.

Jacobian variety group algebra decomposition:$E^{4}$
Corresponding character(s): 6

Generating Vector(s)

Displaying the unique generating vector for this refined passport.

4.36-9.0.3-4-4.1.1

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