Properties

Label 10.108-22.0.3-3-6.9
Genus \(10\)
Quotient genus \(0\)
Group \(C_3^2:A_4\)
Signature \([ 0; 3, 3, 6 ]\)
Generating Vectors \(1\)

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Family Information

Genus: $10$
Quotient genus: $0$
Group name: $C_3^2:A_4$
Group identifier: $[108,22]$
Signature: $[ 0; 3, 3, 6 ]$
Conjugacy classes for this refined passport: $8, 9, 20$

The full automorphism group for this family is $C_3^2:S_4$ with signature $[ 0; 2, 3, 12 ]$.

Jacobian variety group algebra decomposition:$E\times E^{3}\times E^{3}\times E^{3}$
Corresponding character(s): $3, 12, 16, 17$

Generating vector(s)

Displaying the unique generating vector for this refined passport.

10.108-22.0.3-3-6.9.1

  (1,73,37) (2,75,40) (3,76,38) (4,74,39) (5,77,41) (6,79,44) (7,80,42) (8,78,43) (9,81,45) (10,83,48) (11,84,46) (12,82,47) (13,93,53) (14,95,56) (15,96,54) (16,94,55) (17,85,57) (18,87,60) (19,88,58) (20,86,59) (21,89,49) (22,91,52) (23,92,50) (24,90,51) (25,101,69) (26,103,72) (27,104,70) (28,102,71) (29,105,61) (30,107,64) (31,108,62) (32,106,63) (33,97,65) (34,99,68) (35,100,66) (36,98,67)
  (1,52,102) (2,49,104) (3,51,103) (4,50,101) (5,56,106) (6,53,108) (7,55,107) (8,54,105) (9,60,98) (10,57,100) (11,59,99) (12,58,97) (13,68,74) (14,65,76) (15,67,75) (16,66,73) (17,72,78) (18,69,80) (19,71,79) (20,70,77) (21,64,82) (22,61,84) (23,63,83) (24,62,81) (25,48,94) (26,45,96) (27,47,95) (28,46,93) (29,40,86) (30,37,88) (31,39,87) (32,38,85) (33,44,90) (34,41,92) (35,43,91) (36,42,89)
  (1,28,13,4,25,16) (2,27,14,3,26,15) (5,32,17,8,29,20) (6,31,18,7,30,19) (9,36,21,12,33,24) (10,35,22,11,34,23) (37,64,49,40,61,52) (38,63,50,39,62,51) (41,68,53,44,65,56) (42,67,54,43,66,55) (45,72,57,48,69,60) (46,71,58,47,70,59) (73,100,85,76,97,88) (74,99,86,75,98,87) (77,104,89,80,101,92) (78,103,90,79,102,91) (81,108,93,84,105,96) (82,107,94,83,106,95)