Properties

Genus \(13\)
Quotient Genus \(0\)
Group \(C_2^2.\SL(2,3)\)
Signature \([ 0; 3, 4, 6 ]\)
Generating Vectors \(1\)

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Family Information

Genus: 13
Quotient Genus: 0
Group name: $C_2^2.\SL(2,3)$
Group identifier: [96,3]
Signature: $[ 0; 3, 4, 6 ]$
Conjugacy classes for this refined passport: 5, 7, 12

Jacobian variety group algebra decomposition:$A_{2}\times E^{2}\times E^{3}\times E^{6}$
Corresponding character(s): 4, 5, 10, 12

Other Data

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

Generating Vector(s)

Displaying the unique generating vector for this refined passport.

13.96-3.0.3-4-6.1.1

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