Properties

Genus \(13\)
Quotient Genus \(0\)
Group \(C_2^2.SD_{16}\)
Signature \([ 0; 4, 4, 8 ]\)
Generating Vectors \(1\)

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Family Information

Genus: 13
Quotient Genus: 0
Group name: $C_2^2.SD_{16}$
Group identifier: [64,8]
Signature: $[ 0; 4, 4, 8 ]$
Conjugacy classes for this refined passport: 11, 15, 16

Jacobian variety group algebra decomposition:$E\times A_{2}^{2}\times E^{2}\times E^{2}\times E^{4}$
Corresponding character(s): 6, 11, 12, 16, 19

Other Data

Hyperelliptic curve(s):No
Cyclic trigonal curve(s):No

Generating Vector(s)

Displaying the unique generating vector for this refined passport.

13.64-8.0.4-4-8.1.1

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