Properties

Genus \(10\)
Quotient Genus \(0\)
Group \(C_3^2:S_3.C_2\)
Signature \([ 0; 2, 4, 12 ]\)
Generating Vectors \(1\)

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Family Information

Genus: 10
Quotient Genus: 0
Group name: $C_3^2:S_3.C_2$
Group identifier: [108,15]
Signature: $[ 0; 2, 4, 12 ]$
Conjugacy classes for this refined passport: 2, 7, 11

Jacobian variety group algebra decomposition:$E\times A_{2}^{3}\times E^{3}$
Corresponding character(s): 3, 5, 7

Other Data

Hyperelliptic curve(s):No
Cyclic trigonal curve(s):No

Generating Vector(s)

Displaying the unique generating vector for this refined passport.

10.108-15.0.2-4-12.1.1

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