Properties

Label 15.80-5.0.2-8-40.2
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: $3, 11, 21$

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.

15.80-5.0.2-8-40.2.1

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