Properties

Genus \(13\)
Quotient Genus \(0\)
Group \(C_2^3.A_4\)
Signature \([ 0; 3, 4, 6 ]\)
Generating Vectors \(2\)

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Family Information

Genus: 13
Quotient Genus: 0
Group name: $C_2^3.A_4$
Group identifier: [96,71]
Signature: $[ 0; 3, 4, 6 ]$
Conjugacy classes for this refined passport: 4, 8, 10

Jacobian variety group algebra decomposition:$E\times A_{2}^{6}$
Corresponding character(s): 5, 9

Other Data

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

Generating Vector(s)

Displaying 2 of 2 generating vectors for this refined passport.

13.96-71.0.3-4-6.1.1

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

13.96-71.0.3-4-6.1.2
  (1,17,33) (2,20,35) (3,18,36) (4,19,34) (5,30,41) (6,31,43) (7,29,44) (8,32,42) (9,21,46) (10,24,48) (11,22,47) (12,23,45) (13,28,39) (14,25,37) (15,27,38) (16,26,40) (49,65,81) (50,68,83) (51,66,84) (52,67,82) (53,78,89) (54,79,91) (55,77,92) (56,80,90) (57,69,94) (58,72,96) (59,70,95) (60,71,93) (61,76,87) (62,73,85) (63,75,86) (64,74,88)
  (1,55,4,54) (2,56,3,53) (5,50,8,51) (6,49,7,52) (9,61,12,64) (10,62,11,63) (13,60,16,57) (14,59,15,58) (17,71,20,70) (18,72,19,69) (21,66,24,67) (22,65,23,68) (25,77,28,80) (26,78,27,79) (29,76,32,73) (30,75,31,74) (33,87,36,86) (34,88,35,85) (37,82,40,83) (38,81,39,84) (41,93,44,96) (42,94,43,95) (45,92,48,89) (46,91,47,90)
  (1,91,21,52,44,71) (2,89,24,51,42,70) (3,90,22,50,41,72) (4,92,23,49,43,69) (5,84,28,55,33,75) (6,82,25,56,35,74) (7,81,27,53,36,76) (8,83,26,54,34,73) (9,88,19,58,38,66) (10,86,18,57,40,67) (11,85,20,60,39,65) (12,87,17,59,37,68) (13,94,32,61,46,80) (14,96,29,62,48,77) (15,95,31,63,47,79) (16,93,30,64,45,78)

Display number of generating vectors: