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Properties

Label 14.96-33.0.2-6-16.6
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: $4, 9, 14$

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.

14.96-33.0.2-6-16.6.1

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