Properties

Genus \(15\)
Quotient Genus \(0\)
Group \(C_3:(D_4:C_4)\)
Signature \([ 0; 2, 8, 12 ]\)
Generating Vectors \(1\)

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Family Information

Genus: 15
Quotient Genus: 0
Group name: $C_3:(D_4:C_4)$
Group identifier: [96,16]
Signature: $[ 0; 2, 8, 12 ]$
Conjugacy classes for this refined passport: 5, 15, 23

Jacobian variety group algebra decomposition:$E\times E^{2}\times E^{2}\times E^{2}\times A_{2}^{2}\times E^{4}$
Corresponding character(s): 6, 13, 15, 18, 23, 24

Other Data

Hyperelliptic curve(s):No
Cyclic trigonal curve(s):No

Generating Vector(s)

Displaying the unique generating vector for this refined passport.

15.96-16.0.2-8-12.1.1

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