Properties

Genus \(10\)
Quotient Genus \(0\)
Group \(C_3^3:C_2^2:C_3\)
Signature \([ 0; 2, 3, 9 ]\)
Generating Vectors \(1\)

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Family Information

Genus: 10
Quotient Genus: 0
Group name: $C_3^3:C_2^2:C_3$
Group identifier: [324,160]
Signature: $[ 0; 2, 3, 9 ]$
Conjugacy classes for this refined passport: 2, 7, 11

Jacobian variety group algebra decomposition:$E^{4}\times E^{6}$
Corresponding character(s): 9, 12

Other Data

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

Generating Vector(s)

Displaying the unique generating vector for this refined passport.

10.324-160.0.2-3-9.1.1

  (1,28) (2,29) (3,30) (4,34) (5,35) (6,36) (7,31) (8,32) (9,33) (10,46) (11,47) (12,48) (13,52) (14,53) (15,54) (16,49) (17,50) (18,51) (19,37) (20,38) (21,39) (22,43) (23,44) (24,45) (25,40) (26,41) (27,42) (55,82) (56,83) (57,84) (58,88) (59,89) (60,90) (61,85) (62,86) (63,87) (64,100) (65,101) (66,102) (67,106) (68,107) (69,108) (70,103) (71,104) (72,105) (73,91) (74,92) (75,93) (76,97) (77,98) (78,99) (79,94) (80,95) (81,96) (109,136) (110,137) (111,138) (112,142) (113,143) (114,144) (115,139) (116,140) (117,141) (118,154) (119,155) (120,156) (121,160) (122,161) (123,162) (124,157) (125,158) (126,159) (127,145) (128,146) (129,147) (130,151) (131,152) (132,153) (133,148) (134,149) (135,150) (163,190) (164,191) (165,192) (166,196) (167,197) (168,198) (169,193) (170,194) (171,195) (172,208) (173,209) (174,210) (175,214) (176,215) (177,216) (178,211) (179,212) (180,213) (181,199) (182,200) (183,201) (184,205) (185,206) (186,207) (187,202) (188,203) (189,204) (217,244) (218,245) (219,246) (220,250) (221,251) (222,252) (223,247) (224,248) (225,249) (226,262) (227,263) (228,264) (229,268) (230,269) (231,270) (232,265) (233,266) (234,267) (235,253) (236,254) (237,255) (238,259) (239,260) (240,261) (241,256) (242,257) (243,258) (271,298) (272,299) (273,300) (274,304) (275,305) (276,306) (277,301) (278,302) (279,303) (280,316) (281,317) (282,318) (283,322) (284,323) (285,324) (286,319) (287,320) (288,321) (289,307) (290,308) (291,309) (292,313) (293,314) (294,315) (295,310) (296,311) (297,312)
  (1,116,232) (2,125,226) (3,134,229) (4,117,241) (5,126,235) (6,135,238) (7,115,223) (8,124,217) (9,133,220) (10,110,233) (11,119,227) (12,128,230) (13,111,242) (14,120,236) (15,129,239) (16,109,224) (17,118,218) (18,127,221) (19,113,234) (20,122,228) (21,131,231) (22,114,243) (23,123,237) (24,132,240) (25,112,225) (26,121,219) (27,130,222) (28,170,313) (29,179,307) (30,188,310) (31,171,322) (32,180,316) (33,189,319) (34,169,304) (35,178,298) (36,187,301) (37,164,314) (38,173,308) (39,182,311) (40,165,323) (41,174,317) (42,183,320) (43,163,305) (44,172,299) (45,181,302) (46,167,315) (47,176,309) (48,185,312) (49,168,324) (50,177,318) (51,186,321) (52,166,306) (53,175,300) (54,184,303) (55,197,259) (56,206,253) (57,215,256) (58,198,268) (59,207,262) (60,216,265) (61,196,250) (62,205,244) (63,214,247) (64,191,260) (65,200,254) (66,209,257) (67,192,269) (68,201,263) (69,210,266) (70,190,251) (71,199,245) (72,208,248) (73,194,261) (74,203,255) (75,212,258) (76,195,270) (77,204,264) (78,213,267) (79,193,252) (80,202,246) (81,211,249) (82,143,286) (83,152,280) (84,161,283) (85,144,295) (86,153,289) (87,162,292) (88,142,277) (89,151,271) (90,160,274) (91,137,287) (92,146,281) (93,155,284) (94,138,296) (95,147,290) (96,156,293) (97,136,278) (98,145,272) (99,154,275) (100,140,288) (101,149,282) (102,158,285) (103,141,297) (104,150,291) (105,159,294) (106,139,279) (107,148,273) (108,157,276)
  (1,265,177,17,245,181,24,261,170) (2,262,186,18,251,163,22,258,179) (3,268,168,16,248,172,23,255,188) (4,256,176,11,263,183,27,252,169) (5,253,185,12,269,165,25,249,178) (6,259,167,10,266,174,26,246,187) (7,247,175,14,254,182,21,270,171) (8,244,184,15,260,164,19,267,180) (9,250,166,13,257,173,20,264,189) (28,292,123,44,272,127,51,288,116) (29,289,132,45,278,109,49,285,125) (30,295,114,43,275,118,50,282,134) (31,283,122,38,290,129,54,279,115) (32,280,131,39,296,111,52,276,124) (33,286,113,37,293,120,53,273,133) (34,274,121,41,281,128,48,297,117) (35,271,130,42,287,110,46,294,126) (36,277,112,40,284,119,47,291,135) (55,238,150,71,218,154,78,234,143) (56,235,159,72,224,136,76,231,152) (57,241,141,70,221,145,77,228,161) (58,229,149,65,236,156,81,225,142) (59,226,158,66,242,138,79,222,151) (60,232,140,64,239,147,80,219,160) (61,220,148,68,227,155,75,243,144) (62,217,157,69,233,137,73,240,153) (63,223,139,67,230,146,74,237,162) (82,319,204,98,299,208,105,315,197) (83,316,213,99,305,190,103,312,206) (84,322,195,97,302,199,104,309,215) (85,310,203,92,317,210,108,306,196) (86,307,212,93,323,192,106,303,205) (87,313,194,91,320,201,107,300,214) (88,301,202,95,308,209,102,324,198) (89,298,211,96,314,191,100,321,207) (90,304,193,94,311,200,101,318,216)