Properties

Genus \(13\)
Quotient Genus \(0\)
Group \(C_2\times C_4^2:C_3\)
Signature \([ 0; 3, 4, 6 ]\)
Generating Vectors \(1\)

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Family Information

Genus: 13
Quotient Genus: 0
Group name: $C_2\times C_4^2:C_3$
Group identifier: [96,68]
Signature: $[ 0; 3, 4, 6 ]$
Conjugacy classes for this refined passport: 5, 11, 16

Jacobian variety group algebra decomposition:$E\times E^{3}\times E^{3}\times A_{2}^{3}$
Corresponding character(s): 3, 9, 10, 12

Other Data

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

Generating Vector(s)

Displaying the unique generating vector for this refined passport.

13.96-68.0.3-4-6.1.1

  (1,17,33) (2,20,35) (3,18,36) (4,19,34) (5,30,41) (6,31,43) (7,29,44) (8,32,42) (9,21,46) (10,24,48) (11,22,47) (12,23,45) (13,28,39) (14,25,37) (15,27,38) (16,26,40) (49,65,81) (50,68,83) (51,66,84) (52,67,82) (53,78,89) (54,79,91) (55,77,92) (56,80,90) (57,69,94) (58,72,96) (59,70,95) (60,71,93) (61,76,87) (62,73,85) (63,75,86) (64,74,88)
  (1,53,3,55) (2,54,4,56) (5,51,7,49) (6,52,8,50) (9,61,11,63) (10,62,12,64) (13,59,15,57) (14,60,16,58) (17,69,19,71) (18,70,20,72) (21,67,23,65) (22,68,24,66) (25,77,27,79) (26,78,28,80) (29,75,31,73) (30,76,32,74) (33,85,35,87) (34,86,36,88) (37,83,39,81) (38,84,40,82) (41,93,43,95) (42,94,44,96) (45,91,47,89) (46,92,48,90)
  (1,92,21,49,44,69) (2,90,24,50,42,72) (3,89,22,51,41,70) (4,91,23,52,43,71) (5,81,28,53,33,76) (6,83,25,54,35,73) (7,84,27,55,36,75) (8,82,26,56,34,74) (9,86,19,57,38,67) (10,88,18,58,40,66) (11,87,20,59,39,68) (12,85,17,60,37,65) (13,94,32,61,46,80) (14,96,29,62,48,77) (15,95,31,63,47,79) (16,93,30,64,45,78)