Properties

Genus \(10\)
Quotient Genus \(0\)
Group \(C_3^2:S_3:C_3\)
Signature \([ 0; 2, 3, 18 ]\)
Generating Vectors \(1\)

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Family Information

Genus: 10
Quotient Genus: 0
Group name: $C_3^2:S_3:C_3$
Group identifier: [162,14]
Signature: $[ 0; 2, 3, 18 ]$
Conjugacy classes for this refined passport: 2, 7, 18

Jacobian variety group algebra decomposition:$E\times A_{3}^{3}$
Corresponding character(s): 5, 10

Other Data

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

Generating Vector(s)

Displaying the unique generating vector for this refined passport.

10.162-14.0.2-3-18.1.1

  (1,82) (2,83) (3,84) (4,89) (5,90) (6,88) (7,87) (8,85) (9,86) (10,100) (11,101) (12,102) (13,107) (14,108) (15,106) (16,105) (17,103) (18,104) (19,91) (20,92) (21,93) (22,98) (23,99) (24,97) (25,96) (26,94) (27,95) (28,109) (29,110) (30,111) (31,116) (32,117) (33,115) (34,114) (35,112) (36,113) (37,127) (38,128) (39,129) (40,134) (41,135) (42,133) (43,132) (44,130) (45,131) (46,118) (47,119) (48,120) (49,125) (50,126) (51,124) (52,123) (53,121) (54,122) (55,136) (56,137) (57,138) (58,143) (59,144) (60,142) (61,141) (62,139) (63,140) (64,154) (65,155) (66,156) (67,161) (68,162) (69,160) (70,159) (71,157) (72,158) (73,145) (74,146) (75,147) (76,152) (77,153) (78,151) (79,150) (80,148) (81,149)
  (1,37,77) (2,38,78) (3,39,76) (4,41,79) (5,42,80) (6,40,81) (7,45,75) (8,43,73) (9,44,74) (10,50,57) (11,51,55) (12,49,56) (13,54,59) (14,52,60) (15,53,58) (16,46,61) (17,47,62) (18,48,63) (19,34,72) (20,35,70) (21,36,71) (22,29,65) (23,30,66) (24,28,64) (25,33,67) (26,31,68) (27,32,69) (82,118,158) (83,119,159) (84,120,157) (85,122,160) (86,123,161) (87,121,162) (88,126,156) (89,124,154) (90,125,155) (91,131,138) (92,132,136) (93,130,137) (94,135,140) (95,133,141) (96,134,139) (97,127,142) (98,128,143) (99,129,144) (100,115,153) (101,116,151) (102,117,152) (103,110,146) (104,111,147) (105,109,145) (106,114,148) (107,112,149) (108,113,150)
  (1,153,33,96,62,119,2,151,31,94,63,120,3,152,32,95,61,118) (4,150,36,93,56,125,5,148,34,91,57,126,6,149,35,92,55,124) (7,147,30,99,59,122,8,145,28,97,60,123,9,146,29,98,58,121) (10,138,45,87,68,116,11,136,43,85,69,117,12,137,44,86,67,115) (13,144,39,84,71,113,14,142,37,82,72,114,15,143,38,83,70,112) (16,141,42,90,65,110,17,139,40,88,66,111,18,140,41,89,64,109) (19,158,46,105,73,132,20,159,47,103,74,130,21,157,48,104,75,131) (22,155,49,102,76,129,23,156,50,100,77,127,24,154,51,101,78,128) (25,161,52,108,79,135,26,162,53,106,80,133,27,160,54,107,81,134)