Properties

Genus \(15\)
Quotient Genus \(0\)
Group \(C_2\times C_2^2:D_9\)
Signature \([ 0; 2, 4, 18 ]\)
Generating Vectors \(1\)

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Family Information

Genus: 15
Quotient Genus: 0
Group name: $C_2\times C_2^2:D_9$
Group identifier: [144,109]
Signature: $[ 0; 2, 4, 18 ]$
Conjugacy classes for this refined passport: 5, 9, 16

Jacobian variety group algebra decomposition:$E^{3}\times E^{6}\times E^{6}$
Corresponding character(s): 14, 17, 18

Other Data

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

Generating Vector(s)

Displaying the unique generating vector for this refined passport.

15.144-109.0.2-4-18.1.1

  (1,73) (2,75) (3,74) (4,76) (5,81) (6,83) (7,82) (8,84) (9,77) (10,79) (11,78) (12,80) (13,101) (14,103) (15,102) (16,104) (17,97) (18,99) (19,98) (20,100) (21,105) (22,107) (23,106) (24,108) (25,89) (26,91) (27,90) (28,92) (29,85) (30,87) (31,86) (32,88) (33,93) (34,95) (35,94) (36,96) (37,109) (38,111) (39,110) (40,112) (41,117) (42,119) (43,118) (44,120) (45,113) (46,115) (47,114) (48,116) (49,137) (50,139) (51,138) (52,140) (53,133) (54,135) (55,134) (56,136) (57,141) (58,143) (59,142) (60,144) (61,125) (62,127) (63,126) (64,128) (65,121) (66,123) (67,122) (68,124) (69,129) (70,131) (71,130) (72,132)
  (1,140,3,138) (2,137,4,139) (5,136,7,134) (6,133,8,135) (9,144,11,142) (10,141,12,143) (13,128,15,126) (14,125,16,127) (17,124,19,122) (18,121,20,123) (21,132,23,130) (22,129,24,131) (25,116,27,114) (26,113,28,115) (29,112,31,110) (30,109,32,111) (33,120,35,118) (34,117,36,119) (37,104,39,102) (38,101,40,103) (41,100,43,98) (42,97,44,99) (45,108,47,106) (46,105,48,107) (49,92,51,90) (50,89,52,91) (53,88,55,86) (54,85,56,87) (57,96,59,94) (58,93,60,95) (61,80,63,78) (62,77,64,79) (65,76,67,74) (66,73,68,75) (69,84,71,82) (70,81,72,83)
  (1,51,28,45,23,72,5,55,32,37,15,64,9,59,36,41,19,68) (2,50,26,46,22,70,6,54,30,38,14,62,10,58,34,42,18,66) (3,52,25,47,24,69,7,56,29,39,16,61,11,60,33,43,20,65) (4,49,27,48,21,71,8,53,31,40,13,63,12,57,35,44,17,67) (73,123,100,117,95,144,77,127,104,109,87,136,81,131,108,113,91,140) (74,122,98,118,94,142,78,126,102,110,86,134,82,130,106,114,90,138) (75,124,97,119,96,141,79,128,101,111,88,133,83,132,105,115,92,137) (76,121,99,120,93,143,80,125,103,112,85,135,84,129,107,116,89,139)