Properties

Genus \(13\)
Quotient Genus \(0\)
Group \(C_2.D_4:C_4\)
Signature \([ 0; 4, 4, 8 ]\)
Generating Vectors \(1\)

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Family Information

Genus: 13
Quotient Genus: 0
Group name: $C_2.D_4:C_4$
Group identifier: [64,21]
Signature: $[ 0; 4, 4, 8 ]$
Conjugacy classes for this refined passport: 13, 17, 26

The full automorphism group for this family is $C_2^2:D_8.C_2$ with signature $[ 0; 2, 4, 16 ]$.

Jacobian variety group algebra decomposition:$E\times E\times E\times A_{2}\times A_{4}\times E^{2}\times E^{2}$
Corresponding character(s): 5, 6, 9, 17, 22, 23, 27

Generating Vector(s)

Displaying the unique generating vector for this refined passport.

13.64-21.0.4-4-8.1.1

  (1,33,5,37) (2,34,6,38) (3,36,7,40) (4,35,8,39) (9,42,13,46) (10,41,14,45) (11,43,15,47) (12,44,16,48) (17,57,21,61) (18,58,22,62) (19,60,23,64) (20,59,24,63) (25,49,29,53) (26,50,30,54) (27,52,31,56) (28,51,32,55)
  (1,50,15,64) (2,49,16,63) (3,51,14,62) (4,52,13,61) (5,54,11,60) (6,53,12,59) (7,55,10,58) (8,56,9,57) (17,44,31,38) (18,43,32,37) (19,42,30,39) (20,41,29,40) (21,48,27,34) (22,47,28,33) (23,46,26,35) (24,45,25,36)
  (1,23,4,21,2,24,3,22) (5,19,8,17,6,20,7,18) (9,31,12,29,10,32,11,30) (13,27,16,25,14,28,15,26) (33,55,36,53,34,56,35,54) (37,51,40,49,38,52,39,50) (41,63,44,61,42,64,43,62) (45,59,48,57,46,60,47,58)