Properties

Genus \(3\)
Quotient Genus \(0\)
Group \(C_4\wr C_2\)
Signature \([ 0; 2, 4, 8 ]\)
Generating Vectors \(1\)

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Family Information

Genus: 3
Quotient Genus: 0
Group name: $C_4\wr C_2$
Group identifier: [32,11]
Signature: $[ 0; 2, 4, 8 ]$
Conjugacy classes for this refined passport: 4, 8, 14

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:$E\times E^{2}$
Corresponding character(s): 5, 12

Generating Vector(s)

Displaying the unique generating vector for this refined passport.

3.32-11.0.2-4-8.1.1

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