Properties

Genus \(15\)
Quotient Genus \(0\)
Group \(C_4^2:C_3:C_2\)
Signature \([ 0; 3, 4, 8 ]\)
Generating Vectors \(1\)

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Family Information

Genus: 15
Quotient Genus: 0
Group name: $C_4^2:C_3:C_2$
Group identifier: [96,64]
Signature: $[ 0; 3, 4, 8 ]$
Conjugacy classes for this refined passport: 4, 8, 9

Jacobian variety group algebra decomposition:$E^{3}\times A_{2}^{3}\times E^{6}$
Corresponding character(s): 6, 7, 10

Other Data

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

Generating Vector(s)

Displaying the unique generating vector for this refined passport.

15.96-64.0.3-4-8.1.1

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