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Properties

Label 14.96-33.0.2-6-16.8
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: $4, 9, 16$

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.

14.96-33.0.2-6-16.8.1

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