Properties

Genus \(10\)
Quotient Genus \(0\)
Group \(C_2\times He_3:C_2\)
Signature \([ 0; 2, 6, 6 ]\)
Generating Vectors \(1\)

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Family Information

Genus: 10
Quotient Genus: 0
Group name: $C_2\times He_3:C_2$
Group identifier: [108,25]
Signature: $[ 0; 2, 6, 6 ]$
Conjugacy classes for this refined passport: 3, 15, 20

Jacobian variety group algebra decomposition:$E\times E\times E^{2}\times E^{6}$
Corresponding character(s): 5, 8, 15, 19

Other Data

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

Generating Vector(s)

Displaying the unique generating vector for this refined passport.

10.108-25.0.2-6-6.1.1

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