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Properties

Label 7.504-156.0.2-3-7.3
Genus \(7\)
Quotient genus \(0\)
Group \(\SL(2,8)\)
Signature \([ 0; 2, 3, 7 ]\)
Generating Vectors \(1\)

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Family Information

Genus: $7$
Quotient genus: $0$
Group name: $\SL(2,8)$
Group identifier: $[504,156]$
Signature: $[ 0; 2, 3, 7 ]$
Conjugacy classes for this refined passport: $2, 3, 6$

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.

7.504-156.0.2-3-7.3.1

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