Properties

Genus \(15\)
Quotient Genus \(0\)
Group \(\PSL(2,8)\)
Signature \([ 0; 2, 3, 9 ]\)
Generating Vectors \(1\)

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Family Information

Genus: 15
Quotient Genus: 0
Group name: $\PSL(2,8)$
Group identifier: [504,156]
Signature: $[ 0; 2, 3, 9 ]$
Conjugacy classes for this refined passport: 2, 3, 7

Jacobian variety group algebra decomposition:$E^{7}\times E^{8}$
Corresponding character(s): 2, 6

Other Data

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

Generating Vector(s)

Displaying the unique generating vector for this refined passport.

15.504-156.0.2-3-9.1.1

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