Properties

Genus \(7\)
Quotient Genus \(0\)
Group \(\PSL(2,8)\)
Signature \([ 0; 2, 3, 7 ]\)
Generating Vectors \(1\)

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Family Information

Genus: 7
Quotient Genus: 0
Group name: $\PSL(2,8)$
Group identifier: [504,156]
Signature: $[ 0; 2, 3, 7 ]$
Conjugacy classes for this refined passport: 2, 3, 5

Jacobian variety group algebra decomposition:$E^{7}$
Corresponding character(s): 2

Other Data

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

Generating Vector(s)

Displaying the unique generating vector for this refined passport.

7.504-156.0.2-3-7.2.1

  (1,33) (2,263) (3,139) (4,165) (5,493) (6,37) (7,257) (8,153) (9,368) (10,51) (11,380) (12,301) (13,228) (14,160) (15,19) (16,374) (17,252) (18,143) (20,155) (21,364) (22,462) (23,115) (24,55) (25,194) (26,486) (27,278) (28,60) (29,209) (30,94) (31,417) (32,268) (34,68) (35,405) (36,305) (38,488) (39,274) (40,120) (41,295) (42,46) (43,455) (44,135) (45,179) (47,290) (48,472) (49,354) (50,385) (52,320) (53,288) (54,98) (56,110) (57,175) (58,327) (59,214) (61,77) (62,315) (63,476) (64,429) (65,389) (66,265) (67,435) (69,208) (70,419) (71,450) (72,341) (73,105) (74,335) (75,211) (76,237) (78,109) (79,329) (80,225) (81,440) (82,123) (83,452) (84,373) (85,300) (86,232) (87,91) (88,446) (89,324) (90,215) (92,227) (93,436) (95,187) (96,127) (97,266) (99,350) (100,132) (101,281) (102,166) (103,489) (104,340) (106,140) (107,477) (108,377) (111,346) (112,192) (113,367) (114,118) (116,207) (117,251) (119,362) (121,426) (122,457) (124,392) (125,360) (126,170) (128,182) (129,247) (130,399) (131,286) (133,149) (134,387) (136,501) (137,461) (138,337) (141,280) (142,491) (144,413) (145,177) (146,407) (147,283) (148,309) (150,181) (151,401) (152,297) (154,195) (156,445) (157,372) (158,304) (159,163) (161,396) (162,287) (164,299) (167,259) (168,199) (169,338) (171,422) (172,204) (173,353) (174,238) (176,412) (178,212) (180,449) (183,418) (184,264) (185,439) (186,190) (188,279) (189,323) (191,434) (193,498) (196,464) (197,432) (198,242) (200,254) (201,319) (202,471) (203,358) (205,221) (206,459) (210,409) (213,352) (216,485) (217,249) (218,479) (219,355) (220,381) (222,253) (223,473) (224,369) (226,267) (229,444) (230,376) (231,235) (233,468) (234,359) (236,371) (239,331) (240,271) (241,410) (243,494) (244,276) (245,425) (246,310) (248,484) (250,284) (255,490) (256,336) (258,262) (260,351) (261,395) (269,504) (270,314) (272,326) (273,391) (275,430) (277,293) (282,481) (285,424) (289,321) (291,427) (292,453) (294,325) (296,441) (298,339) (302,448) (303,307) (306,431) (308,443) (311,403) (312,343) (313,482) (316,348) (317,497) (318,382) (322,356) (328,408) (330,334) (332,423) (333,467) (342,386) (344,398) (345,463) (347,502) (349,365) (357,496) (361,393) (363,499) (366,397) (370,411) (375,379) (378,503) (383,475) (384,415) (388,420) (390,454) (394,428) (400,480) (402,406) (404,495) (414,458) (416,470) (421,437) (433,465) (438,469) (442,483) (447,451) (456,487) (460,492) (466,500) (474,478)
  (1,499,480) (2,357,133) (3,370,193) (4,471,118) (5,234,233) (6,376,353) (7,389,483) (8,212,9) (10,337,147) (11,330,484) (12,64,256) (13,174,460) (14,423,422) (15,70,326) (16,497,150) (17,293,18) (19,391,129) (20,420,313) (21,253,454) (22,93,325) (23,171,170) (24,259,416) (25,236,132) (26,383,27) (28,85,246) (29,123,151) (30,316,373) (31,273,163) (32,360,359) (33,322,119) (34,335,249) (35,113,36) (37,238,309) (38,231,286) (39,190,76) (40,300,352) (41,468,467) (42,196,227) (43,200,312) (44,266,45) (46,436,399) (47,465,250) (48,73,67) (49,363,226) (50,333,332) (51,79,461) (52,83,402) (53,491,54) (55,202,282) (56,168,403) (57,451,319) (58,138,415) (59,126,125) (60,457,164) (61,434,285) (62,158,63) (65,222,88) (66,343,490) (68,369,368) (69,349,218) (71,248,72) (74,429,205) (75,442,265) (77,306,305) (78,448,425) (80,284,81) (82,409,219) (84,136,328) (86,495,494) (87,142,398) (89,365,90) (91,463,201) (92,492,385) (94,165,397) (95,243,242) (96,331,488) (97,308,204) (98,455,99) (100,157,318) (101,195,223) (102,388,445) (103,345,235) (104,432,431) (105,394,191) (106,407,321) (107,185,108) (109,310,381) (110,303,358) (111,262,148) (112,372,424) (114,268,299) (115,272,384) (116,338,117) (120,145,139) (121,435,298) (122,405,404) (124,155,474) (127,274,354) (128,240,475) (130,210,487) (131,198,197) (134,230,135) (137,294,160) (140,441,440) (141,421,290) (143,320,144) (146,501,277) (149,378,377) (152,356,153) (154,481,291) (156,208,400) (159,214,470) (161,437,162) (166,237,469) (167,315,314) (169,380,276) (172,229,390) (173,267,295) (175,417,307) (176,504,503) (177,466,263) (178,479,393) (179,257,180) (181,382,453) (182,375,430) (183,334,220) (184,444,496) (186,340,371) (187,344,456) (188,410,189) (192,217,211) (194,477,476) (199,346,426) (203,270,269) (206,302,207) (209,366,232) (213,493,362) (215,392,216) (221,450,449) (224,428,225) (228,280,472) (239,387,386) (241,452,348) (244,301,462) (245,339,367) (247,489,379) (251,329,252) (254,447,502) (255,406,292) (258,412,443) (260,482,261) (264,289,283) (271,418,498) (275,342,341) (278,374,279) (281,438,304) (287,464,288) (296,500,297) (311,459,458) (317,411,439) (323,401,324) (327,478,364) (336,361,355) (347,414,413) (350,446,351) (395,473,396) (408,433,427) (419,486,485)
  (1,400,69,479,212,153,322) (2,149,108,439,370,139,177) (3,498,183,381,246,300,120) (4,114,164,122,495,232,397) (5,468,295,226,499,33,362) (6,173,41,333,385,460,238) (7,442,211,249,74,221,180) (8,368,224,80,440,296,152) (9,178,361,256,429,335,68) (10,283,321,146,293,252,79) (11,248,450,205,64,301,276) (12,336,219,210,399,93,462) (13,492,227,464,162,421,280) (14,171,115,415,337,51,137) (15,272,23,126,214,163,391) (16,181,292,402,452,410,279) (17,143,413,458,206,116,251) (18,277,136,373,348,83,320) (19,247,375,128,383,486,70) (20,482,351,88,253,364,474) (21,390,444,264,147,138,327) (22,294,461,329,117,169,244) (24,470,59,360,268,118,202) (25,100,382,150,317,185,477) (26,278,188,323,89,215,485) (27,475,271,193,411,497,374) (28,310,78,245,113,405,457) (29,401,189,241,316,94,366) (30,84,408,291,282,471,165) (31,159,416,167,270,358,307) (32,234,493,352,85,60,299) (34,217,112,285,191,428,369) (35,305,431,197,242,494,404) (36,367,298,67,105,434,77) (37,148,258,308,266,135,376) (38,131,432,340,190,274,96) (39,237,102,156,480,363,354) (40,213,119,356,297,466,145) (42,92,50,423,160,325,436) (43,343,265,483,65,446,99) (44,179,449,71,341,386,134) (45,97,172,454,222,389,257) (46,130,456,398,491,288,196) (47,284,225,394,73,472,141) (48,435,426,111,309,174,228) (49,267,353,230,387,331,127) (52,406,490,312,254,347,144) (53,98,350,260,395,161,287) (54,142,91,319,447,200,455) (55,481,195,281,158,315,259) (56,311,414,502,451,175,303) (57,201,345,489,129,273,417) (58,384,326,419,216,124,478) (61,424,157,132,371,104,306) (62,476,107,377,503,269,314) (63,304,469,76,186,236,194) (66,255,453,318,372,192,75) (72,484,334,418,240,182,275) (81,250,433,328,501,407,140) (82,355,393,218,365,324,151) (86,243,187,487,409,123,209) (87,344,95,198,286,235,463) (90,349,208,445,420,155,392) (101,473,261,313,388,166,438) (103,231,488,239,342,430,379) (106,289,184,357,263,500,441) (109,220,330,380,338,207,448) (110,203,504,412,262,346,168) (121,339,425,302,459,403,199) (125,170,422,332,467,233,359) (133,496,229,204,443,176,378) (154,427,465,290,437,396,223)