Properties

Genus \(7\)
Quotient Genus \(0\)
Group \(OD_{32}:C_2\)
Signature \([ 0; 2, 4, 16 ]\)
Generating Vectors \(1\)

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Family Information

Genus: 7
Quotient Genus: 0
Group name: $OD_{32}:C_2$
Group identifier: [64,41]
Signature: $[ 0; 2, 4, 16 ]$
Conjugacy classes for this refined passport: 4, 8, 14

Jacobian variety group algebra decomposition:$E\times E^{2}\times E^{4}$
Corresponding character(s): 7, 12, 15

Other Data

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

Generating Vector(s)

Displaying the unique generating vector for this refined passport.

7.64-41.0.2-4-16.1.1

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