Properties

Label 10.108-22.0.3-3-6.13
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: $9, 12, 15$

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.

10.108-22.0.3-3-6.13.1

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