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Properties

Label 14.96-33.0.2-6-16.5
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: $4, 9, 13$

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.

14.96-33.0.2-6-16.5.1

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