Properties

Genus \(13\)
Quotient Genus \(0\)
Group \((C_2\times OD_{16}).C_2\)
Signature \([ 0; 4, 4, 8 ]\)
Generating Vectors \(1\)

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Family Information

Genus: 13
Quotient Genus: 0
Group name: $(C_2\times OD_{16}).C_2$
Group identifier: [64,18]
Signature: $[ 0; 4, 4, 8 ]$
Conjugacy classes for this refined passport: 11, 15, 20

The full automorphism group for this family is $(C_2^2\times C_4).D_4$ with signature $[ 0; 2, 4, 16 ]$.

Jacobian variety group algebra decomposition:$E\times E\times E\times A_{2}\times A_{2}^{4}$
Corresponding character(s): 8, 9, 12, 18, 21

Generating Vector(s)

Displaying the unique generating vector for this refined passport.

13.64-18.0.4-4-8.1.1

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