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Properties

Label 14.96-33.0.2-6-16.7
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: $4, 9, 15$

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.

14.96-33.0.2-6-16.7.1

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