Properties

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

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Family Information

Genus: 10
Quotient Genus: 0
Group name: $C_3.S_3^2$
Group identifier: [108,17]
Signature: $[ 0; 2, 6, 6 ]$
Conjugacy classes for this refined passport: 4, 9, 10

The full automorphism group for this family is $C_3.S_3\wr C_2$ with signature $[ 0; 2, 4, 6 ]$.

Jacobian variety group algebra decomposition:$E^{4}\times E^{6}$
Corresponding character(s): 9, 11

Generating Vector(s)

Displaying the unique generating vector for this refined passport.

10.108-17.0.2-6-6.1.1

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