Properties

Genus \(8\)
Small Group \(C_2\times F_7\)
Signature \([ 0; 2, 6, 6 ]\)
Generating Vectors \(1\)

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Family Information

Genus: 8
Group name: $C_2\times F_7$
Group identifier: [84,7]
Signature: $[ 0; 2, 6, 6 ]$
Conjugacy classes for this refined passport: 3, 8, 11

Jacobian variety group algebra decomposition:$E\times E\times E^{6}$
Corresponding character(s): 5, 6, 13

Other Data

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

Generating Vector(s)

Displaying the unique generating vector for this refined passport.

8.84-7.0.2-6-6.2.1

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