Properties

Genus \(15\)
Quotient Genus \(0\)
Group \(C_{40}:C_2\)
Signature \([ 0; 2, 8, 40 ]\)
Generating Vectors \(1\)

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Family Information

Genus: 15
Quotient Genus: 0
Group name: $C_{40}:C_2$
Group identifier: [80,5]
Signature: $[ 0; 2, 8, 40 ]$
Conjugacy classes for this refined passport: 3, 11, 20

Jacobian variety group algebra decomposition:$E\times E^{2}\times A_{2}^{2}\times A_{4}^{2}$
Corresponding character(s): 6, 9, 15, 19

Other Data

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

Generating Vector(s)

Displaying the unique generating vector for this refined passport.

15.80-5.0.2-8-40.1.1

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