Properties

Genus \(4\)
Quotient Genus \(0\)
Group \(S_3^2\)
Signature \([ 0; 2, 6, 6 ]\)
Generating Vectors \(1\)

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Family Information

Genus: 4
Quotient Genus: 0
Group name: $S_3^2$
Group identifier: [36,10]
Signature: $[ 0; 2, 6, 6 ]$
Conjugacy classes for this refined passport: 4, 8, 9

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): 9

Generating Vector(s)

Displaying the unique generating vector for this refined passport.

4.36-10.0.2-6-6.1.1

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