Properties

Genus \(14\)
Quotient Genus \(0\)
Group \(C_3:D_{16}\)
Signature \([ 0; 2, 6, 16 ]\)
Generating Vectors \(1\)

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Family Information

Genus: 14
Quotient Genus: 0
Group name: $C_3:D_{16}$
Group identifier: [96,33]
Signature: $[ 0; 2, 6, 16 ]$
Conjugacy classes for this refined passport: 4, 8, 13

Jacobian variety group algebra decomposition:$E^{2}\times A_{2}^{2}\times A_{4}^{2}$
Corresponding character(s): 8, 16, 17

Other Data

Hyperelliptic curve(s):No
Cyclic trigonal curve(s):Yes
Trigonal automorphism: (1,2,3) (4,5,6) (7,8,9) (10,11,12) (13,14,15) (16,17,18) (19,20,21) (22,23,24) (25,26,27) (28,29,30) (31,32,33) (34,35,36) (37,38,39) (40,41,42) (43,44,45) (46,47,48) (49,50,51) (52,53,54) (55,56,57) (58,59,60) (61,62,63) (64,65,66) (67,68,69) (70,71,72) (73,74,75) (76,77,78) (79,80,81) (82,83,84) (85,86,87) (88,89,90) (91,92,93) (94,95,96)

Generating Vector(s)

Displaying the unique generating vector for this refined passport.

14.96-33.0.2-6-16.1.1

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