Properties

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

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Family Information

Genus: 13
Quotient Genus: 0
Group name: $C_2^2\wr C_2:C_3$
Group identifier: [96,70]
Signature: $[ 0; 3, 4, 6 ]$
Conjugacy classes for this refined passport: 6, 8, 10

Jacobian variety group algebra decomposition:$E\times E^{6}\times E^{6}$
Corresponding character(s): 3, 9, 10

Other Data

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

Generating Vector(s)

Displaying 2 of 2 generating vectors for this refined passport.

13.96-70.0.3-4-6.1.1

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

13.96-70.0.3-4-6.1.2
  (1,17,33) (2,20,35) (3,18,36) (4,19,34) (5,29,41) (6,32,43) (7,30,44) (8,31,42) (9,21,45) (10,24,47) (11,22,48) (12,23,46) (13,25,37) (14,28,39) (15,26,40) (16,27,38) (49,65,81) (50,68,83) (51,66,84) (52,67,82) (53,77,89) (54,80,91) (55,78,92) (56,79,90) (57,69,93) (58,72,95) (59,70,96) (60,71,94) (61,73,85) (62,76,87) (63,74,88) (64,75,86)
  (1,55,2,56) (3,53,4,54) (5,52,6,51) (7,50,8,49) (9,61,10,62) (11,63,12,64) (13,58,14,57) (15,60,16,59) (17,71,18,72) (19,69,20,70) (21,68,22,67) (23,66,24,65) (25,77,26,78) (27,79,28,80) (29,74,30,73) (31,76,32,75) (33,87,34,88) (35,85,36,86) (37,84,38,83) (39,82,40,81) (41,93,42,94) (43,95,44,96) (45,90,46,89) (47,92,48,91)
  (1,90,21,52,41,71) (2,92,24,51,43,70) (3,91,22,50,44,72) (4,89,23,49,42,69) (5,84,25,55,33,74) (6,82,28,56,35,75) (7,81,26,53,36,73) (8,83,27,54,34,76) (9,87,17,58,37,68) (10,85,20,57,39,65) (11,86,18,60,40,67) (12,88,19,59,38,66) (13,93,29,61,45,77) (14,95,32,62,47,80) (15,96,30,63,48,78) (16,94,31,64,46,79)

Display number of generating vectors: