Properties

Label 10.108-22.0.3-3-6.16
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: $10, 11, 16$

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.

10.108-22.0.3-3-6.16.1

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