Properties

Label 10.108-22.0.3-3-6.2
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: $7, 10, 17$

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.

10.108-22.0.3-3-6.2.1

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