Properties

Genus \(5\)
Quotient Genus \(0\)
Group \(C_2^2.\SL(2,3)\)
Signature \([ 0; 3, 3, 4 ]\)
Generating Vectors \(1\)

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Family Information

Genus: 5
Quotient Genus: 0
Group name: $C_2^2.\SL(2,3)$
Group identifier: [96,3]
Signature: $[ 0; 3, 3, 4 ]$
Conjugacy classes for this refined passport: 5, 6, 8

The full automorphism group for this family is $C_2^2.\GL(2,3)$ with signature $[ 0; 2, 3, 8 ]$.

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

Generating Vector(s)

Displaying the unique generating vector for this refined passport.

5.96-3.0.3-3-4.2.1

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