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Properties

Label 14.96-33.0.2-6-16.3
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: $4, 8, 15$

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.

14.96-33.0.2-6-16.3.1

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