Properties

Label 9.96-3.0.3-3-6.1
Genus \(9\)
Quotient genus \(0\)
Group \(C_2^3.A_4\)
Signature \([ 0; 3, 3, 6 ]\)
Generating Vectors \(4\)

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Family Information

Genus: $9$
Quotient genus: $0$
Group name: $C_2^3.A_4$
Group identifier: $[96,3]$
Signature: $[ 0; 3, 3, 6 ]$
Conjugacy classes for this refined passport: $5, 5, 11$

The full automorphism group for this family is $C_2^3.(C_2\times A_4)$ with signature $[ 0; 2, 3, 12 ]$.

Jacobian variety group algebra decomposition:$E\times A_{2}\times E^{6}$
Corresponding character(s): $2, 4, 12$

Generating vector(s)

Displaying 4 of 4 generating vectors for this refined passport.

9.96-3.0.3-3-6.1.1

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

9.96-3.0.3-3-6.1.2
  (1,33,65) (2,34,66) (3,40,70) (4,39,69) (5,36,71) (6,35,72) (7,37,68) (8,38,67) (9,59,81) (10,60,82) (11,62,86) (12,61,85) (13,58,87) (14,57,88) (15,63,84) (16,64,83) (17,41,91) (18,42,92) (19,48,96) (20,47,95) (21,44,93) (22,43,94) (23,45,90) (24,46,89) (25,56,78) (26,55,77) (27,49,73) (28,50,74) (29,53,76) (30,54,75) (31,52,79) (32,51,80)
  (1,49,90) (2,50,89) (3,56,93) (4,55,94) (5,52,96) (6,51,95) (7,53,91) (8,54,92) (9,46,80) (10,45,79) (11,43,75) (12,44,76) (13,47,74) (14,48,73) (15,42,77) (16,41,78) (17,58,65) (18,57,66) (19,63,70) (20,64,69) (21,59,71) (22,60,72) (23,62,68) (24,61,67) (25,34,82) (26,33,81) (27,39,85) (28,40,86) (29,35,88) (30,36,87) (31,38,83) (32,37,84)
  (1,45,82,2,46,81) (3,44,85,4,43,86) (5,48,88,6,47,87) (7,41,83,8,42,84) (9,51,72,10,52,71) (11,54,67,12,53,68) (13,50,66,14,49,65) (15,55,69,16,56,70) (17,33,77,18,34,78) (19,40,74,20,39,73) (21,36,75,22,35,76) (23,37,80,24,38,79) (25,60,94,26,59,93) (27,61,89,28,62,90) (29,57,92,30,58,91) (31,64,95,32,63,96)

9.96-3.0.3-3-6.1.3
  (1,33,65) (2,34,66) (3,40,70) (4,39,69) (5,36,71) (6,35,72) (7,37,68) (8,38,67) (9,59,81) (10,60,82) (11,62,86) (12,61,85) (13,58,87) (14,57,88) (15,63,84) (16,64,83) (17,41,91) (18,42,92) (19,48,96) (20,47,95) (21,44,93) (22,43,94) (23,45,90) (24,46,89) (25,56,78) (26,55,77) (27,49,73) (28,50,74) (29,53,76) (30,54,75) (31,52,79) (32,51,80)
  (1,51,93) (2,52,94) (3,54,90) (4,53,89) (5,50,91) (6,49,92) (7,55,96) (8,56,95) (9,48,75) (10,47,76) (11,41,80) (12,42,79) (13,45,77) (14,46,78) (15,44,74) (16,43,73) (17,60,70) (18,59,69) (19,61,65) (20,62,66) (21,57,68) (22,58,67) (23,64,71) (24,63,72) (25,36,85) (26,35,86) (27,37,82) (28,38,81) (29,33,83) (30,34,84) (31,40,88) (32,39,87)
  (1,44,84,2,43,83) (3,45,87,4,46,88) (5,41,86,6,42,85) (7,48,81,8,47,82) (9,54,70,10,53,69) (11,51,65,12,52,66) (13,55,68,14,56,67) (15,50,71,16,49,72) (17,40,79,18,39,80) (19,33,76,20,34,75) (21,37,73,22,38,74) (23,36,78,24,35,77) (25,61,96,26,62,95) (27,60,91,28,59,92) (29,64,90,30,63,89) (31,57,93,32,58,94)

9.96-3.0.3-3-6.1.4
  (1,33,65) (2,34,66) (3,40,70) (4,39,69) (5,36,71) (6,35,72) (7,37,68) (8,38,67) (9,59,81) (10,60,82) (11,62,86) (12,61,85) (13,58,87) (14,57,88) (15,63,84) (16,64,83) (17,41,91) (18,42,92) (19,48,96) (20,47,95) (21,44,93) (22,43,94) (23,45,90) (24,46,89) (25,56,78) (26,55,77) (27,49,73) (28,50,74) (29,53,76) (30,54,75) (31,52,79) (32,51,80)
  (1,56,92) (2,55,91) (3,49,95) (4,50,96) (5,53,94) (6,54,93) (7,52,89) (8,51,90) (9,43,78) (10,44,77) (11,46,73) (12,45,74) (13,42,76) (14,41,75) (15,47,79) (16,48,80) (17,63,67) (18,64,68) (19,58,72) (20,57,71) (21,62,69) (22,61,70) (23,59,66) (24,60,65) (25,39,84) (26,40,83) (27,34,87) (28,33,88) (29,38,86) (30,37,85) (31,35,81) (32,36,82)
  (1,42,87,2,41,88) (3,47,84,4,48,83) (5,43,81,6,44,82) (7,46,86,8,45,85) (9,56,65,10,55,66) (11,49,70,12,50,69) (13,53,71,14,54,72) (15,52,68,16,51,67) (17,38,76,18,37,75) (19,35,79,20,36,80) (21,39,78,22,40,77) (23,34,73,24,33,74) (25,63,91,26,64,92) (27,58,96,28,57,95) (29,62,93,30,61,94) (31,59,90,32,60,89)

Display number of generating vectors: