Properties

Genus \(10\)
Quotient Genus \(0\)
Group \(AGL(2,3)\)
Signature \([ 0; 2, 3, 8 ]\)
Generating Vectors \(1\)

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Family Information

Genus: 10
Quotient Genus: 0
Group name: $AGL(2,3)$
Group identifier: [432,734]
Signature: $[ 0; 2, 3, 8 ]$
Conjugacy classes for this refined passport: 3, 6, 10

Jacobian variety group algebra decomposition:$E^{2}\times E^{8}$
Corresponding character(s): 4, 10

Other Data

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

Generating Vector(s)

Displaying the unique generating vector for this refined passport.

10.432-734.0.2-3-8.1.1

  (1,217) (2,219) (3,218) (4,222) (5,221) (6,220) (7,224) (8,223) (9,225) (10,226) (11,228) (12,227) (13,231) (14,230) (15,229) (16,233) (17,232) (18,234) (19,280) (20,282) (21,281) (22,285) (23,284) (24,283) (25,287) (26,286) (27,288) (28,271) (29,273) (30,272) (31,276) (32,275) (33,274) (34,278) (35,277) (36,279) (37,262) (38,264) (39,263) (40,267) (41,266) (42,265) (43,269) (44,268) (45,270) (46,253) (47,255) (48,254) (49,258) (50,257) (51,256) (52,260) (53,259) (54,261) (55,244) (56,246) (57,245) (58,249) (59,248) (60,247) (61,251) (62,250) (63,252) (64,235) (65,237) (66,236) (67,240) (68,239) (69,238) (70,242) (71,241) (72,243) (73,361) (74,363) (75,362) (76,366) (77,365) (78,364) (79,368) (80,367) (81,369) (82,370) (83,372) (84,371) (85,375) (86,374) (87,373) (88,377) (89,376) (90,378) (91,424) (92,426) (93,425) (94,429) (95,428) (96,427) (97,431) (98,430) (99,432) (100,415) (101,417) (102,416) (103,420) (104,419) (105,418) (106,422) (107,421) (108,423) (109,406) (110,408) (111,407) (112,411) (113,410) (114,409) (115,413) (116,412) (117,414) (118,397) (119,399) (120,398) (121,402) (122,401) (123,400) (124,404) (125,403) (126,405) (127,388) (128,390) (129,389) (130,393) (131,392) (132,391) (133,395) (134,394) (135,396) (136,379) (137,381) (138,380) (139,384) (140,383) (141,382) (142,386) (143,385) (144,387) (145,289) (146,291) (147,290) (148,294) (149,293) (150,292) (151,296) (152,295) (153,297) (154,298) (155,300) (156,299) (157,303) (158,302) (159,301) (160,305) (161,304) (162,306) (163,352) (164,354) (165,353) (166,357) (167,356) (168,355) (169,359) (170,358) (171,360) (172,343) (173,345) (174,344) (175,348) (176,347) (177,346) (178,350) (179,349) (180,351) (181,334) (182,336) (183,335) (184,339) (185,338) (186,337) (187,341) (188,340) (189,342) (190,325) (191,327) (192,326) (193,330) (194,329) (195,328) (196,332) (197,331) (198,333) (199,316) (200,318) (201,317) (202,321) (203,320) (204,319) (205,323) (206,322) (207,324) (208,307) (209,309) (210,308) (211,312) (212,311) (213,310) (214,314) (215,313) (216,315)
  (1,115,200) (2,109,205) (3,112,204) (4,114,201) (5,117,206) (6,111,202) (7,110,199) (8,113,207) (9,116,203) (10,124,209) (11,118,214) (12,121,213) (13,123,210) (14,126,215) (15,120,211) (16,119,208) (17,122,216) (18,125,212) (19,97,164) (20,91,169) (21,94,168) (22,96,165) (23,99,170) (24,93,166) (25,92,163) (26,95,171) (27,98,167) (28,106,173) (29,100,178) (30,103,177) (31,105,174) (32,108,179) (33,102,175) (34,101,172) (35,104,180) (36,107,176) (37,133,146) (38,127,151) (39,130,150) (40,132,147) (41,135,152) (42,129,148) (43,128,145) (44,131,153) (45,134,149) (46,142,155) (47,136,160) (48,139,159) (49,141,156) (50,144,161) (51,138,157) (52,137,154) (53,140,162) (54,143,158) (55,79,182) (56,73,187) (57,76,186) (58,78,183) (59,81,188) (60,75,184) (61,74,181) (62,77,189) (63,80,185) (64,88,191) (65,82,196) (66,85,195) (67,87,192) (68,90,197) (69,84,193) (70,83,190) (71,86,198) (72,89,194) (217,331,416) (218,325,421) (219,328,420) (220,330,417) (221,333,422) (222,327,418) (223,326,415) (224,329,423) (225,332,419) (226,340,425) (227,334,430) (228,337,429) (229,339,426) (230,342,431) (231,336,427) (232,335,424) (233,338,432) (234,341,428) (235,313,380) (236,307,385) (237,310,384) (238,312,381) (239,315,386) (240,309,382) (241,308,379) (242,311,387) (243,314,383) (244,322,389) (245,316,394) (246,319,393) (247,321,390) (248,324,395) (249,318,391) (250,317,388) (251,320,396) (252,323,392) (253,349,362) (254,343,367) (255,346,366) (256,348,363) (257,351,368) (258,345,364) (259,344,361) (260,347,369) (261,350,365) (262,358,371) (263,352,376) (264,355,375) (265,357,372) (266,360,377) (267,354,373) (268,353,370) (269,356,378) (270,359,374) (271,295,398) (272,289,403) (273,292,402) (274,294,399) (275,297,404) (276,291,400) (277,290,397) (278,293,405) (279,296,401) (280,304,407) (281,298,412) (282,301,411) (283,303,408) (284,306,413) (285,300,409) (286,299,406) (287,302,414) (288,305,410)
  (1,318,58,335,17,315,68,331) (2,323,63,338,16,307,66,328) (3,319,56,341,18,311,70,325) (4,317,62,342,14,313,64,327) (5,322,55,336,13,308,71,333) (6,321,60,339,15,312,69,330) (7,316,57,337,11,314,72,329) (8,324,59,340,10,309,67,326) (9,320,61,334,12,310,65,332) (19,354,40,290,35,351,50,304) (20,359,45,293,34,343,48,301) (21,355,38,296,36,347,52,298) (22,353,44,297,32,349,46,300) (23,358,37,291,31,344,53,306) (24,357,42,294,33,348,51,303) (25,352,39,292,29,350,54,302) (26,360,41,295,28,345,49,299) (27,356,43,289,30,346,47,305) (73,246,130,263,89,243,140,259) (74,251,135,266,88,235,138,256) (75,247,128,269,90,239,142,253) (76,245,134,270,86,241,136,255) (77,250,127,264,85,236,143,261) (78,249,132,267,87,240,141,258) (79,244,129,265,83,242,144,257) (80,252,131,268,82,237,139,254) (81,248,133,262,84,238,137,260) (91,282,112,218,107,279,122,232) (92,287,117,221,106,271,120,229) (93,283,110,224,108,275,124,226) (94,281,116,225,104,277,118,228) (95,286,109,219,103,272,125,234) (96,285,114,222,105,276,123,231) (97,280,111,220,101,278,126,230) (98,288,113,223,100,273,121,227) (99,284,115,217,102,274,119,233) (145,390,202,407,161,387,212,403) (146,395,207,410,160,379,210,400) (147,391,200,413,162,383,214,397) (148,389,206,414,158,385,208,399) (149,394,199,408,157,380,215,405) (150,393,204,411,159,384,213,402) (151,388,201,409,155,386,216,401) (152,396,203,412,154,381,211,398) (153,392,205,406,156,382,209,404) (163,426,184,362,179,423,194,376) (164,431,189,365,178,415,192,373) (165,427,182,368,180,419,196,370) (166,425,188,369,176,421,190,372) (167,430,181,363,175,416,197,378) (168,429,186,366,177,420,195,375) (169,424,183,364,173,422,198,374) (170,432,185,367,172,417,193,371) (171,428,187,361,174,418,191,377)