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Properties

Label 10.108-40.0.2-2-2-3.1
Genus \(10\)
Quotient genus \(0\)
Group \(C_3:S_3^2\)
Signature \([ 0; 2, 2, 2, 3 ]\)
Generating Vectors \(1\)

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Family Information

Genus: $10$
Quotient genus: $0$
Group name: $C_3:S_3^2$
Group identifier: $[108,40]$
Signature: $[ 0; 2, 2, 2, 3 ]$
Conjugacy classes for this refined passport: $2, 3, 4, 11$

Jacobian variety group algebra decomposition:$E^{2}\times E^{2}\times E^{2}\times E^{4}$
Corresponding character(s): $5, 7, 10, 14$

Other Data

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

Generating vector(s)

Displaying the unique generating vector for this refined passport.

10.108-40.0.2-2-2-3.1.1

  (1,28) (2,29) (3,30) (4,34) (5,35) (6,36) (7,31) (8,32) (9,33) (10,46) (11,47) (12,48) (13,52) (14,53) (15,54) (16,49) (17,50) (18,51) (19,37) (20,38) (21,39) (22,43) (23,44) (24,45) (25,40) (26,41) (27,42) (55,82) (56,83) (57,84) (58,88) (59,89) (60,90) (61,85) (62,86) (63,87) (64,100) (65,101) (66,102) (67,106) (68,107) (69,108) (70,103) (71,104) (72,105) (73,91) (74,92) (75,93) (76,97) (77,98) (78,99) (79,94) (80,95) (81,96)
  (1,73) (2,75) (3,74) (4,76) (5,78) (6,77) (7,79) (8,81) (9,80) (10,64) (11,66) (12,65) (13,67) (14,69) (15,68) (16,70) (17,72) (18,71) (19,55) (20,57) (21,56) (22,58) (23,60) (24,59) (25,61) (26,63) (27,62) (28,100) (29,102) (30,101) (31,103) (32,105) (33,104) (34,106) (35,108) (36,107) (37,91) (38,93) (39,92) (40,94) (41,96) (42,95) (43,97) (44,99) (45,98) (46,82) (47,84) (48,83) (49,85) (50,87) (51,86) (52,88) (53,90) (54,89)
  (1,90) (2,89) (3,88) (4,87) (5,86) (6,85) (7,84) (8,83) (9,82) (10,99) (11,98) (12,97) (13,96) (14,95) (15,94) (16,93) (17,92) (18,91) (19,108) (20,107) (21,106) (22,105) (23,104) (24,103) (25,102) (26,101) (27,100) (28,63) (29,62) (30,61) (31,60) (32,59) (33,58) (34,57) (35,56) (36,55) (37,72) (38,71) (39,70) (40,69) (41,68) (42,67) (43,66) (44,65) (45,64) (46,81) (47,80) (48,79) (49,78) (50,77) (51,76) (52,75) (53,74) (54,73)
  (1,14,27) (2,15,25) (3,13,26) (4,17,21) (5,18,19) (6,16,20) (7,11,24) (8,12,22) (9,10,23) (28,41,54) (29,42,52) (30,40,53) (31,44,48) (32,45,46) (33,43,47) (34,38,51) (35,39,49) (36,37,50) (55,68,81) (56,69,79) (57,67,80) (58,71,75) (59,72,73) (60,70,74) (61,65,78) (62,66,76) (63,64,77) (82,95,108) (83,96,106) (84,94,107) (85,98,102) (86,99,100) (87,97,101) (88,92,105) (89,93,103) (90,91,104)