Properties

Genus \(10\)
Quotient Genus \(0\)
Group \(C_3\times S_3^2\)
Signature \([ 0; 2, 6, 6 ]\)
Generating Vectors \(1\)

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Family Information

Genus: 10
Quotient Genus: 0
Group name: $C_3\times S_3^2$
Group identifier: [108,38]
Signature: $[ 0; 2, 6, 6 ]$
Conjugacy classes for this refined passport: 4, 21, 25

The full automorphism group for this family is $S_3^2:S_3$ with signature $[ 0; 2, 4, 6 ]$.

Jacobian variety group algebra decomposition:$E\times E\times E^{2}\times E^{2}\times E^{4}$
Corresponding character(s): 8, 9, 17, 18, 25

Generating Vector(s)

Displaying the unique generating vector for this refined passport.

10.108-38.0.2-6-6.1.1

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