Properties

Genus \(5\)
Quotient Genus \(0\)
Group \(C_2\times S_4\)
Signature \([ 0; 2, 2, 2, 3 ]\)
Generating Vectors \(3\)

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Family Information

Genus: 5
Quotient Genus: 0
Group name: $C_2\times S_4$
Group identifier: [48,48]
Signature: $[ 0; 2, 2, 2, 3 ]$
Conjugacy classes for this refined passport: 4, 5, 6, 7

Jacobian variety group algebra decomposition:$E^{2}\times E^{3}$
Corresponding character(s): 5, 10

Other Data

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

Generating Vector(s)

Displaying 3 of 3 generating vectors for this refined passport.

5.48-48.0.2-2-2-3.1.1

  (1,14) (2,13) (3,16) (4,15) (5,18) (6,17) (7,20) (8,19) (9,22) (10,21) (11,24) (12,23) (25,38) (26,37) (27,40) (28,39) (29,42) (30,41) (31,44) (32,43) (33,46) (34,45) (35,48) (36,47)
  (1,25) (2,27) (3,26) (4,28) (5,33) (6,35) (7,34) (8,36) (9,29) (10,31) (11,30) (12,32) (13,37) (14,39) (15,38) (16,40) (17,45) (18,47) (19,46) (20,48) (21,41) (22,43) (23,42) (24,44)
  (1,45) (2,48) (3,47) (4,46) (5,41) (6,44) (7,43) (8,42) (9,37) (10,40) (11,39) (12,38) (13,33) (14,36) (15,35) (16,34) (17,29) (18,32) (19,31) (20,30) (21,25) (22,28) (23,27) (24,26)
  (1,6,11) (2,7,9) (3,5,10) (4,8,12) (13,18,23) (14,19,21) (15,17,22) (16,20,24) (25,30,35) (26,31,33) (27,29,34) (28,32,36) (37,42,47) (38,43,45) (39,41,46) (40,44,48)

5.48-48.0.2-2-2-3.1.2
  (1,14) (2,13) (3,16) (4,15) (5,18) (6,17) (7,20) (8,19) (9,22) (10,21) (11,24) (12,23) (25,38) (26,37) (27,40) (28,39) (29,42) (30,41) (31,44) (32,43) (33,46) (34,45) (35,48) (36,47)
  (1,25) (2,27) (3,26) (4,28) (5,33) (6,35) (7,34) (8,36) (9,29) (10,31) (11,30) (12,32) (13,37) (14,39) (15,38) (16,40) (17,45) (18,47) (19,46) (20,48) (21,41) (22,43) (23,42) (24,44)
  (1,41) (2,42) (3,44) (4,43) (5,37) (6,38) (7,40) (8,39) (9,45) (10,46) (11,48) (12,47) (13,29) (14,30) (15,32) (16,31) (17,25) (18,26) (19,28) (20,27) (21,33) (22,34) (23,36) (24,35)
  (1,10,8) (2,12,5) (3,11,7) (4,9,6) (13,22,20) (14,24,17) (15,23,19) (16,21,18) (25,34,32) (26,36,29) (27,35,31) (28,33,30) (37,46,44) (38,48,41) (39,47,43) (40,45,42)

5.48-48.0.2-2-2-3.1.3
  (1,14) (2,13) (3,16) (4,15) (5,18) (6,17) (7,20) (8,19) (9,22) (10,21) (11,24) (12,23) (25,38) (26,37) (27,40) (28,39) (29,42) (30,41) (31,44) (32,43) (33,46) (34,45) (35,48) (36,47)
  (1,29) (2,30) (3,32) (4,31) (5,25) (6,26) (7,28) (8,27) (9,33) (10,34) (11,36) (12,35) (13,41) (14,42) (15,44) (16,43) (17,37) (18,38) (19,40) (20,39) (21,45) (22,46) (23,48) (24,47)
  (1,37) (2,39) (3,38) (4,40) (5,45) (6,47) (7,46) (8,48) (9,41) (10,43) (11,42) (12,44) (13,25) (14,27) (15,26) (16,28) (17,33) (18,35) (19,34) (20,36) (21,29) (22,31) (23,30) (24,32)
  (1,6,11) (2,7,9) (3,5,10) (4,8,12) (13,18,23) (14,19,21) (15,17,22) (16,20,24) (25,30,35) (26,31,33) (27,29,34) (28,32,36) (37,42,47) (38,43,45) (39,41,46) (40,44,48)

Display number of generating vectors: