Properties

Genus \(14\)
Quotient Genus \(0\)
Group \(Q_8:D_5\)
Signature \([ 0; 2, 8, 20 ]\)
Generating Vectors \(1\)

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Family Information

Genus: 14
Quotient Genus: 0
Group name: $Q_8:D_5$
Group identifier: [80,17]
Signature: $[ 0; 2, 8, 20 ]$
Conjugacy classes for this refined passport: 3, 8, 15

Jacobian variety group algebra decomposition:$A_{2}^{2}\times E^{2}\times A_{4}^{2}$
Corresponding character(s): 6, 14, 16

Other Data

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

Generating Vector(s)

Displaying the unique generating vector for this refined passport.

14.80-17.0.2-8-20.2.1

  (1,41) (2,45) (3,44) (4,43) (5,42) (6,46) (7,50) (8,49) (9,48) (10,47) (11,56) (12,60) (13,59) (14,58) (15,57) (16,51) (17,55) (18,54) (19,53) (20,52) (21,71) (22,75) (23,74) (24,73) (25,72) (26,76) (27,80) (28,79) (29,78) (30,77) (31,61) (32,65) (33,64) (34,63) (35,62) (36,66) (37,70) (38,69) (39,68) (40,67)
  (1,63,11,73,6,68,16,78) (2,62,12,72,7,67,17,77) (3,61,13,71,8,66,18,76) (4,65,14,75,9,70,19,80) (5,64,15,74,10,69,20,79) (21,53,31,48,26,58,36,43) (22,52,32,47,27,57,37,42) (23,51,33,46,28,56,38,41) (24,55,34,50,29,60,39,45) (25,54,35,49,30,59,40,44)
  (1,29,7,25,3,26,9,22,5,28,6,24,2,30,8,21,4,27,10,23) (11,34,17,40,13,31,19,37,15,33,16,39,12,35,18,36,14,32,20,38) (41,69,47,65,43,66,49,62,45,68,46,64,42,70,48,61,44,67,50,63) (51,74,57,80,53,71,59,77,55,73,56,79,52,75,58,76,54,72,60,78)