Properties

Genus \(10\)
Quotient Genus \(0\)
Group \(C_6^2:C_3\)
Signature \([ 0; 3, 3, 6 ]\)
Generating Vectors \(1\)

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Family Information

Genus: 10
Quotient Genus: 0
Group name: $C_6^2:C_3$
Group identifier: [108,22]
Signature: $[ 0; 3, 3, 6 ]$
Conjugacy classes for this refined passport: 7, 10, 15

The full automorphism group for this family is $(C_3\times A_4):C_6$ 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.

10.108-22.0.3-3-6.1.1

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