Properties

Genus \(14\)
Quotient Genus \(0\)
Group \(C_6\times D_7\)
Signature \([ 0; 2, 6, 42 ]\)
Generating Vectors \(1\)

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Family Information

Genus: 14
Quotient Genus: 0
Group name: $C_6\times D_7$
Group identifier: [84,12]
Signature: $[ 0; 2, 6, 42 ]$
Conjugacy classes for this refined passport: 3, 11, 26

Jacobian variety group algebra decomposition:$E\times E\times A_{3}^{2}\times A_{3}^{2}$
Corresponding character(s): 6, 7, 19, 20

Other Data

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

Generating Vector(s)

Displaying the unique generating vector for this refined passport.

14.84-12.0.2-6-42.1.1

  (1,43) (2,49) (3,48) (4,47) (5,46) (6,45) (7,44) (8,50) (9,56) (10,55) (11,54) (12,53) (13,52) (14,51) (15,57) (16,63) (17,62) (18,61) (19,60) (20,59) (21,58) (22,64) (23,70) (24,69) (25,68) (26,67) (27,66) (28,65) (29,71) (30,77) (31,76) (32,75) (33,74) (34,73) (35,72) (36,78) (37,84) (38,83) (39,82) (40,81) (41,80) (42,79)
  (1,73,15,66,8,80) (2,72,16,65,9,79) (3,71,17,64,10,78) (4,77,18,70,11,84) (5,76,19,69,12,83) (6,75,20,68,13,82) (7,74,21,67,14,81) (22,52,36,45,29,59) (23,51,37,44,30,58) (24,50,38,43,31,57) (25,56,39,49,32,63) (26,55,40,48,33,62) (27,54,41,47,34,61) (28,53,42,46,35,60)
  (1,41,11,23,21,33,3,36,13,25,16,35,5,38,8,27,18,30,7,40,10,22,20,32,2,42,12,24,15,34,4,37,14,26,17,29,6,39,9,28,19,31) (43,83,53,65,63,75,45,78,55,67,58,77,47,80,50,69,60,72,49,82,52,64,62,74,44,84,54,66,57,76,46,79,56,68,59,71,48,81,51,70,61,73)