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, 7

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.

3.48-3.0.3-3-4.3.1

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