Family Information
| Genus: | $9$ |
| Quotient genus: | $0$ |
| Group name: | $C_2^2:S_4$ |
| Group identifier: | $[96,227]$ |
| Signature: | $[ 0; 2, 2, 2, 3 ]$ |
| Conjugacy classes for this refined passport: | $5, 6, 6, 7$ |
| Jacobian variety group algebra decomposition: | $E^{3}\times E^{3}\times E^{3}$ |
| Corresponding character(s): | $4, 6, 8$ |
Other Data
| Hyperelliptic curve(s): | no |
| Cyclic trigonal curve(s): | no |
Generating vector(s)
Displaying 6 of 6 generating vectors for this refined passport.
9.96-227.0.2-2-2-3.1.1
| (1,6) (2,5) (3,8) (4,7) (9,14) (10,13) (11,16) (12,15) (17,22) (18,21) (19,24) (20,23) (25,30) (26,29) (27,32) (28,31) (33,38) (34,37) (35,40) (36,39) (41,46) (42,45) (43,48) (44,47) (49,54) (50,53) (51,56) (52,55) (57,62) (58,61) (59,64) (60,63) (65,70) (66,69) (67,72) (68,71) (73,78) (74,77) (75,80) (76,79) (81,86) (82,85) (83,88) (84,87) (89,94) (90,93) (91,96) (92,95) | |
| (1,49) (2,51) (3,50) (4,52) (5,57) (6,59) (7,58) (8,60) (9,53) (10,55) (11,54) (12,56) (13,61) (14,63) (15,62) (16,64) (17,81) (18,83) (19,82) (20,84) (21,89) (22,91) (23,90) (24,92) (25,85) (26,87) (27,86) (28,88) (29,93) (30,95) (31,94) (32,96) (33,65) (34,67) (35,66) (36,68) (37,73) (38,75) (39,74) (40,76) (41,69) (42,71) (43,70) (44,72) (45,77) (46,79) (47,78) (48,80) | |
| (1,81) (2,82) (3,84) (4,83) (5,93) (6,94) (7,96) (8,95) (9,89) (10,90) (11,92) (12,91) (13,85) (14,86) (15,88) (16,87) (17,65) (18,66) (19,68) (20,67) (21,77) (22,78) (23,80) (24,79) (25,73) (26,74) (27,76) (28,75) (29,69) (30,70) (31,72) (32,71) (33,49) (34,50) (35,52) (36,51) (37,61) (38,62) (39,64) (40,63) (41,57) (42,58) (43,60) (44,59) (45,53) (46,54) (47,56) (48,55) | |
| (1,22,44) (2,24,41) (3,23,43) (4,21,42) (5,26,36) (6,28,33) (7,27,35) (8,25,34) (9,18,40) (10,20,37) (11,19,39) (12,17,38) (13,30,48) (14,32,45) (15,31,47) (16,29,46) (49,70,92) (50,72,89) (51,71,91) (52,69,90) (53,74,84) (54,76,81) (55,75,83) (56,73,82) (57,66,88) (58,68,85) (59,67,87) (60,65,86) (61,78,96) (62,80,93) (63,79,95) (64,77,94) |
9.96-227.0.2-2-2-3.1.2
| (1,6) (2,5) (3,8) (4,7) (9,14) (10,13) (11,16) (12,15) (17,22) (18,21) (19,24) (20,23) (25,30) (26,29) (27,32) (28,31) (33,38) (34,37) (35,40) (36,39) (41,46) (42,45) (43,48) (44,47) (49,54) (50,53) (51,56) (52,55) (57,62) (58,61) (59,64) (60,63) (65,70) (66,69) (67,72) (68,71) (73,78) (74,77) (75,80) (76,79) (81,86) (82,85) (83,88) (84,87) (89,94) (90,93) (91,96) (92,95) | |
| (1,49) (2,51) (3,50) (4,52) (5,57) (6,59) (7,58) (8,60) (9,53) (10,55) (11,54) (12,56) (13,61) (14,63) (15,62) (16,64) (17,81) (18,83) (19,82) (20,84) (21,89) (22,91) (23,90) (24,92) (25,85) (26,87) (27,86) (28,88) (29,93) (30,95) (31,94) (32,96) (33,65) (34,67) (35,66) (36,68) (37,73) (38,75) (39,74) (40,76) (41,69) (42,71) (43,70) (44,72) (45,77) (46,79) (47,78) (48,80) | |
| (1,65) (2,68) (3,67) (4,66) (5,69) (6,72) (7,71) (8,70) (9,77) (10,80) (11,79) (12,78) (13,73) (14,76) (15,75) (16,74) (17,49) (18,52) (19,51) (20,50) (21,53) (22,56) (23,55) (24,54) (25,61) (26,64) (27,63) (28,62) (29,57) (30,60) (31,59) (32,58) (33,81) (34,84) (35,83) (36,82) (37,85) (38,88) (39,87) (40,86) (41,93) (42,96) (43,95) (44,94) (45,89) (46,92) (47,91) (48,90) | |
| (1,38,31) (2,39,29) (3,37,30) (4,40,32) (5,46,19) (6,47,17) (7,45,18) (8,48,20) (9,42,27) (10,43,25) (11,41,26) (12,44,28) (13,34,23) (14,35,21) (15,33,22) (16,36,24) (49,86,79) (50,87,77) (51,85,78) (52,88,80) (53,94,67) (54,95,65) (55,93,66) (56,96,68) (57,90,75) (58,91,73) (59,89,74) (60,92,76) (61,82,71) (62,83,69) (63,81,70) (64,84,72) |
9.96-227.0.2-2-2-3.1.3
| (1,6) (2,5) (3,8) (4,7) (9,14) (10,13) (11,16) (12,15) (17,22) (18,21) (19,24) (20,23) (25,30) (26,29) (27,32) (28,31) (33,38) (34,37) (35,40) (36,39) (41,46) (42,45) (43,48) (44,47) (49,54) (50,53) (51,56) (52,55) (57,62) (58,61) (59,64) (60,63) (65,70) (66,69) (67,72) (68,71) (73,78) (74,77) (75,80) (76,79) (81,86) (82,85) (83,88) (84,87) (89,94) (90,93) (91,96) (92,95) | |
| (1,65) (2,68) (3,67) (4,66) (5,69) (6,72) (7,71) (8,70) (9,77) (10,80) (11,79) (12,78) (13,73) (14,76) (15,75) (16,74) (17,49) (18,52) (19,51) (20,50) (21,53) (22,56) (23,55) (24,54) (25,61) (26,64) (27,63) (28,62) (29,57) (30,60) (31,59) (32,58) (33,81) (34,84) (35,83) (36,82) (37,85) (38,88) (39,87) (40,86) (41,93) (42,96) (43,95) (44,94) (45,89) (46,92) (47,91) (48,90) | |
| (1,49) (2,51) (3,50) (4,52) (5,57) (6,59) (7,58) (8,60) (9,53) (10,55) (11,54) (12,56) (13,61) (14,63) (15,62) (16,64) (17,81) (18,83) (19,82) (20,84) (21,89) (22,91) (23,90) (24,92) (25,85) (26,87) (27,86) (28,88) (29,93) (30,95) (31,94) (32,96) (33,65) (34,67) (35,66) (36,68) (37,73) (38,75) (39,74) (40,76) (41,69) (42,71) (43,70) (44,72) (45,77) (46,79) (47,78) (48,80) | |
| (1,22,44) (2,24,41) (3,23,43) (4,21,42) (5,26,36) (6,28,33) (7,27,35) (8,25,34) (9,18,40) (10,20,37) (11,19,39) (12,17,38) (13,30,48) (14,32,45) (15,31,47) (16,29,46) (49,70,92) (50,72,89) (51,71,91) (52,69,90) (53,74,84) (54,76,81) (55,75,83) (56,73,82) (57,66,88) (58,68,85) (59,67,87) (60,65,86) (61,78,96) (62,80,93) (63,79,95) (64,77,94) |
9.96-227.0.2-2-2-3.1.4
| (1,6) (2,5) (3,8) (4,7) (9,14) (10,13) (11,16) (12,15) (17,22) (18,21) (19,24) (20,23) (25,30) (26,29) (27,32) (28,31) (33,38) (34,37) (35,40) (36,39) (41,46) (42,45) (43,48) (44,47) (49,54) (50,53) (51,56) (52,55) (57,62) (58,61) (59,64) (60,63) (65,70) (66,69) (67,72) (68,71) (73,78) (74,77) (75,80) (76,79) (81,86) (82,85) (83,88) (84,87) (89,94) (90,93) (91,96) (92,95) | |
| (1,65) (2,68) (3,67) (4,66) (5,69) (6,72) (7,71) (8,70) (9,77) (10,80) (11,79) (12,78) (13,73) (14,76) (15,75) (16,74) (17,49) (18,52) (19,51) (20,50) (21,53) (22,56) (23,55) (24,54) (25,61) (26,64) (27,63) (28,62) (29,57) (30,60) (31,59) (32,58) (33,81) (34,84) (35,83) (36,82) (37,85) (38,88) (39,87) (40,86) (41,93) (42,96) (43,95) (44,94) (45,89) (46,92) (47,91) (48,90) | |
| (1,81) (2,82) (3,84) (4,83) (5,93) (6,94) (7,96) (8,95) (9,89) (10,90) (11,92) (12,91) (13,85) (14,86) (15,88) (16,87) (17,65) (18,66) (19,68) (20,67) (21,77) (22,78) (23,80) (24,79) (25,73) (26,74) (27,76) (28,75) (29,69) (30,70) (31,72) (32,71) (33,49) (34,50) (35,52) (36,51) (37,61) (38,62) (39,64) (40,63) (41,57) (42,58) (43,60) (44,59) (45,53) (46,54) (47,56) (48,55) | |
| (1,38,31) (2,39,29) (3,37,30) (4,40,32) (5,46,19) (6,47,17) (7,45,18) (8,48,20) (9,42,27) (10,43,25) (11,41,26) (12,44,28) (13,34,23) (14,35,21) (15,33,22) (16,36,24) (49,86,79) (50,87,77) (51,85,78) (52,88,80) (53,94,67) (54,95,65) (55,93,66) (56,96,68) (57,90,75) (58,91,73) (59,89,74) (60,92,76) (61,82,71) (62,83,69) (63,81,70) (64,84,72) |
9.96-227.0.2-2-2-3.1.5
| (1,6) (2,5) (3,8) (4,7) (9,14) (10,13) (11,16) (12,15) (17,22) (18,21) (19,24) (20,23) (25,30) (26,29) (27,32) (28,31) (33,38) (34,37) (35,40) (36,39) (41,46) (42,45) (43,48) (44,47) (49,54) (50,53) (51,56) (52,55) (57,62) (58,61) (59,64) (60,63) (65,70) (66,69) (67,72) (68,71) (73,78) (74,77) (75,80) (76,79) (81,86) (82,85) (83,88) (84,87) (89,94) (90,93) (91,96) (92,95) | |
| (1,81) (2,82) (3,84) (4,83) (5,93) (6,94) (7,96) (8,95) (9,89) (10,90) (11,92) (12,91) (13,85) (14,86) (15,88) (16,87) (17,65) (18,66) (19,68) (20,67) (21,77) (22,78) (23,80) (24,79) (25,73) (26,74) (27,76) (28,75) (29,69) (30,70) (31,72) (32,71) (33,49) (34,50) (35,52) (36,51) (37,61) (38,62) (39,64) (40,63) (41,57) (42,58) (43,60) (44,59) (45,53) (46,54) (47,56) (48,55) | |
| (1,49) (2,51) (3,50) (4,52) (5,57) (6,59) (7,58) (8,60) (9,53) (10,55) (11,54) (12,56) (13,61) (14,63) (15,62) (16,64) (17,81) (18,83) (19,82) (20,84) (21,89) (22,91) (23,90) (24,92) (25,85) (26,87) (27,86) (28,88) (29,93) (30,95) (31,94) (32,96) (33,65) (34,67) (35,66) (36,68) (37,73) (38,75) (39,74) (40,76) (41,69) (42,71) (43,70) (44,72) (45,77) (46,79) (47,78) (48,80) | |
| (1,38,31) (2,39,29) (3,37,30) (4,40,32) (5,46,19) (6,47,17) (7,45,18) (8,48,20) (9,42,27) (10,43,25) (11,41,26) (12,44,28) (13,34,23) (14,35,21) (15,33,22) (16,36,24) (49,86,79) (50,87,77) (51,85,78) (52,88,80) (53,94,67) (54,95,65) (55,93,66) (56,96,68) (57,90,75) (58,91,73) (59,89,74) (60,92,76) (61,82,71) (62,83,69) (63,81,70) (64,84,72) |
9.96-227.0.2-2-2-3.1.6
| (1,6) (2,5) (3,8) (4,7) (9,14) (10,13) (11,16) (12,15) (17,22) (18,21) (19,24) (20,23) (25,30) (26,29) (27,32) (28,31) (33,38) (34,37) (35,40) (36,39) (41,46) (42,45) (43,48) (44,47) (49,54) (50,53) (51,56) (52,55) (57,62) (58,61) (59,64) (60,63) (65,70) (66,69) (67,72) (68,71) (73,78) (74,77) (75,80) (76,79) (81,86) (82,85) (83,88) (84,87) (89,94) (90,93) (91,96) (92,95) | |
| (1,81) (2,82) (3,84) (4,83) (5,93) (6,94) (7,96) (8,95) (9,89) (10,90) (11,92) (12,91) (13,85) (14,86) (15,88) (16,87) (17,65) (18,66) (19,68) (20,67) (21,77) (22,78) (23,80) (24,79) (25,73) (26,74) (27,76) (28,75) (29,69) (30,70) (31,72) (32,71) (33,49) (34,50) (35,52) (36,51) (37,61) (38,62) (39,64) (40,63) (41,57) (42,58) (43,60) (44,59) (45,53) (46,54) (47,56) (48,55) | |
| (1,65) (2,68) (3,67) (4,66) (5,69) (6,72) (7,71) (8,70) (9,77) (10,80) (11,79) (12,78) (13,73) (14,76) (15,75) (16,74) (17,49) (18,52) (19,51) (20,50) (21,53) (22,56) (23,55) (24,54) (25,61) (26,64) (27,63) (28,62) (29,57) (30,60) (31,59) (32,58) (33,81) (34,84) (35,83) (36,82) (37,85) (38,88) (39,87) (40,86) (41,93) (42,96) (43,95) (44,94) (45,89) (46,92) (47,91) (48,90) | |
| (1,22,44) (2,24,41) (3,23,43) (4,21,42) (5,26,36) (6,28,33) (7,27,35) (8,25,34) (9,18,40) (10,20,37) (11,19,39) (12,17,38) (13,30,48) (14,32,45) (15,31,47) (16,29,46) (49,70,92) (50,72,89) (51,71,91) (52,69,90) (53,74,84) (54,76,81) (55,75,83) (56,73,82) (57,66,88) (58,68,85) (59,67,87) (60,65,86) (61,78,96) (62,80,93) (63,79,95) (64,77,94) |