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Properties

Label 14.96-33.0.2-6-16.2
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: $4, 8, 14$

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.

14.96-33.0.2-6-16.2.1

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