Properties

Label 5.96-3.0.3-3-4.3
Genus \(5\)
Quotient genus \(0\)
Group \(C_2^3.A_4\)
Signature \([ 0; 3, 3, 4 ]\)
Generating Vectors \(1\)

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Family Information

Genus: $5$
Quotient genus: $0$
Group name: $C_2^3.A_4$
Group identifier: $[96,3]$
Signature: $[ 0; 3, 3, 4 ]$
Conjugacy classes for this refined passport: $5, 6, 9$

The full automorphism group for this family is $C_2^3.S_4$ 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.

5.96-3.0.3-3-4.3.1

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