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, 14

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.

14.80-17.0.2-8-20.1.1

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