Properties

Genus \(13\)
Quotient Genus \(0\)
Group \(C_2\times \SL(2,3):C_2\)
Signature \([ 0; 2, 6, 12 ]\)
Generating Vectors \(1\)

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Family Information

Genus: 13
Quotient Genus: 0
Group name: $C_2\times \SL(2,3):C_2$
Group identifier: [96,200]
Signature: $[ 0; 2, 6, 12 ]$
Conjugacy classes for this refined passport: 5, 17, 26

Jacobian variety group algebra decomposition:$E\times E\times E^{2}\times E^{2}\times A_{2}^{2}\times E^{3}$
Corresponding character(s): 5, 8, 13, 14, 18, 26

Other Data

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

Generating Vector(s)

Displaying the unique generating vector for this refined passport.

13.96-200.0.2-6-12.1.1

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