Properties

Genus \(13\)
Quotient Genus \(0\)
Group \(D_4\times A_4\)
Signature \([ 0; 2, 6, 12 ]\)
Generating Vectors \(1\)

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Family Information

Genus: 13
Quotient Genus: 0
Group name: $D_4\times A_4$
Group identifier: [96,197]
Signature: $[ 0; 2, 6, 12 ]$
Conjugacy classes for this refined passport: 7, 17, 20

Jacobian variety group algebra decomposition:$E\times E\times E^{2}\times E^{3}\times E^{6}$
Corresponding character(s): 5, 9, 14, 16, 20

Other Data

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

Generating Vector(s)

Displaying the unique generating vector for this refined passport.

13.96-197.0.2-6-12.1.1

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