Properties

Genus \(3\)
Quotient Genus \(0\)
Group \(C_4^2:C_3\)
Signature \([ 0; 3, 3, 4 ]\)
Generating Vectors \(1\)

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Family Information

Genus: 3
Quotient Genus: 0
Group name: $C_4^2:C_3$
Group identifier: [48,3]
Signature: $[ 0; 3, 3, 4 ]$
Conjugacy classes for this refined passport: 3, 4, 5

The full automorphism group for this family is $C_4^2:C_3:C_2$ with signature $[ 0; 2, 3, 8 ]$.

Jacobian variety group algebra decomposition:$E^{3}$
Corresponding character(s): 5

Generating Vector(s)

Displaying the unique generating vector for this refined passport.

3.48-3.0.3-3-4.1.1

  (1,17,33) (2,20,35) (3,18,36) (4,19,34) (5,30,41) (6,31,43) (7,29,44) (8,32,42) (9,21,46) (10,24,48) (11,22,47) (12,23,45) (13,28,39) (14,25,37) (15,27,38) (16,26,40)
  (1,45,25) (2,47,28) (3,48,26) (4,46,27) (5,40,23) (6,38,22) (7,37,24) (8,39,21) (9,33,29) (10,35,32) (11,36,30) (12,34,31) (13,41,17) (14,43,20) (15,44,18) (16,42,19)
  (1,14,2,13) (3,16,4,15) (5,12,6,11) (7,10,8,9) (17,30,18,29) (19,32,20,31) (21,28,22,27) (23,26,24,25) (33,46,34,45) (35,48,36,47) (37,44,38,43) (39,42,40,41)