Properties

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

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Family Information

Genus: 15
Quotient Genus: 0
Group name: $D_{12}:C_4$
Group identifier: [96,12]
Signature: $[ 0; 2, 8, 12 ]$
Conjugacy classes for this refined passport: 4, 17, 25

Jacobian variety group algebra decomposition:$E\times E^{2}\times E^{2}\times E^{2}\times A_{2}^{2}\times A_{2}^{2}$
Corresponding character(s): 5, 13, 16, 17, 21, 22

Other Data

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

Generating Vector(s)

Displaying the unique generating vector for this refined passport.

15.96-12.0.2-8-12.1.1

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