{"label":"687.2.a.c","letter":"c","dim":7,"charpoly":["1","-8","16","4","-30","9","8","1"],"traces":["7","-2","-7","14","-6","2","-3","-18","7","-5","-10","-14","-5","-10","6","16","-17","-2","9","-20","3","-11","-14","18","-7","-2","-7","-16","-8","5","6","-23","10","1","17","14","2","-10","5","5","-11","10","12","-18","-6","16","-11","-16","-20","-6","17","-18","-35","2","4","-21","-9","-3","-7","20","-11","-26","-3","8","-17","11","-3","-29","14","16","10","-18","-40","-8","7","42","0","2","13","-19","7","-33","-17","16","6","30","8","-13","-7","-5","1","4","-6","23","-9","23","-40","44","-10","33","-13","-1","10","22","-17","41","-5","-14","-2","83","-2","35","-26","10","-34","50","-5","-39","-8","-5","17","34","11","27","24","-10","29","-41","-12","61","6","18","-15","63","6","51","-45","-16","14","47","11","3","-15","16","-34","15","20","47","-22","6","39","30","-17","22","18","18","-7","78","35","62","-16","-2","38","-35","-4","51","-41","21","28","35","9","24","-35","3","-18","16","7","47","2","-20","2","78","11","36","2","26","63","-33","3","-79","-8","-8","-65","14","17","-48","3","-11","-29","33","3","33","-21","29","-19","-60","-14","-71","-81","-16","83","-85","-10","62","-53","18","-35","35","40","-8","-10","8","-69","7","-7","-72","4","-42","-7","36","0","-17","-53","-2","52","16","-13","14","-32","19","-26","99","-7","-139","-4","33","-3","-18","17","-18","-11","-16","13","18","-6","52","-12","-30","12","-35","-8","-110","36","13","32","-24","7","-61","43","5","19","-28","-1","30","-29","-4","11","-52","6","31","-36","-23","2","-10","9","-59","25","-23","-42","28","40","-149","22","-44","77","-67","10","-18","40","-33","-38","6","13","19","9","1","-18","57","-10","3","-52","-22","-25","4","17","-27","12","-41","45","-53","5","-15","-24","14","-3","-3","2","-41","24","-83","28","-58","2","-23","30","-35","-27","-54","26","8","23","-10","-9","25","34","64","-31","-50","26","-29","5","-73","-50","39","21","11","8","-103","-20","5","18","-53","-17","-19","122","-34","4","30","-11","-31","-1","-27","-4","44","-24","43","-55","10","79","-23","-29","60","-2","41","-61","24","12","-137","114","-61","37","119","-6","0","-58","-18","-23","111","15","20","-8","-63","34","-74","-6","-77","26","-51","-102","212","45","48","68","16","-19","137","-14","-61","7","-47","15","3","-11","52","19","-3","9","-191","15","-13","39","-16","-55","32","34","-50","-10","-15","6","162","-20","-70","67","-47","20","-35","22","86","-5","-6","108","82","-39","3","-11","-30","18","2","17","-147","-100","-22","-19","163","-18","-76","37","-18","14","-129","7","-143","-65","-78","81","23","-35","-13","44","-62","-144","143","16","57","51","2","-56","121","-38","-33","-77","35","57","0","4","-152","-55","-51","57","73","41","64","39","-21","29","-162","-28","0","77","-35","48","-105","-9","-102","-64","-24","-101","-106","35","48","-40","-3","-11","72","18","-101","-3","-16","-19","43","-7","-75","98","-47","-2","12","-2","-31","19","20","-34","97","-2","19","56","-78","38","-100","-11","-46","3","-36","-47","91","-2","98","-8","-26","92","-31","-63","35","27","33","-5","64","-3","120","83","79","31","87","8","128","56","8","-48","59","65","-190","-44","-14","90","97","-17","-217","37","48","-8","-19","-3","225","-38","11","-29","-128","29","-44","52","-33","22","-17","-3","25","-40","-33","-59","75","21","84","34","-29","73","19","19","103","2","60","12","138","14","-40","19","71","-45","12","81","-31","18","16","36","76","-83","56","16","85","12","-137","10","213","-26","-62","130","-14","53","28","24","-18","-9","11","35","21","58","-35","54","54","-40","10","-52","8","89","117","10","255","99","-8","134","-25","69","-84","83","-7","-51","-113","7","-12","-3","72","123","26","-4","234","13","42","20","48","7","-77","48","-36","10","12","0","110","28","17","57","55","53","-11","-98","2","-2","159","-52","-68","-1","-16","48","-113","13","44","-100","-14","53","89","32","137","-13","-19","23","126","26","165","78","-99","65","20","7","-41","-54","139","-78","-73","4","-121","-15","-33","57","-75","3","30","-98","18","-21","-153","-17","65","39","18","51","-152","11","5","-94","16","15","-46","-13","-198","-153","-18","13","-24","6","-108","-34","-52","-29","-88","12","-130","239","30","-11","-9","-12","-99","-102","35","4","-71","8","-142","33","110","-11","4","-36","-41","-3","-13","47","-2","-32","-149","-6","24","-67","-21","-7","-13","125","61","-2","-113","-43","145","-106","-5","25","15","-19","-49","-55","28","28","-41","1","-104","-18","-30","-40","-92","29","22","29","4","34","-125","-11","-17","60","52","122","-311","-6","-190","-83","-31","31","-143","36","303","18","23","-40","-203","-2","32","37","10","-86","106","-9","135","-139","59","-99","-148","-25","-151","-105","23","26","-162","42","12","22","-28","-40","221","-40","254","-40","149","-119","169","-22","-98","14","44","-111","114","-77","-63","-2","67","62","-205","-10","-174","12","18","-71","-20","-40","172","-132","33","56","-10","38","-87","56","-6","102","-153","-13","-95","16","-19","-64","-85","-9","-14","124","-1","27","113","18","151","-89","-57","35","5","10","-337","-58","-3","-22","-177","52","14","-13","22","-52","-55","25","248","-10","-4","50","76","-17","-181","-102","27","-129","119","-12","89","-58","41","-38","5","-45","99","-43","53","93","165","-5","-117","46","15","85","99","24","110","-39","-14","-73","-94","3","-198","42","3","-171","8","-2","80","-112","41","-86","26","-24","-18","62","83","-21","179","-28","-34","-11","58","-64","-23","-2","-119"],"lmfdb":"agrees","space":"687.2.a","level":687,"weight":2,"T":[[2,1],[5,1]],"status":"proven","derived":{"al":[[3,1],[229,1]],"fricke":1,"sign":-1,"cm":null,"cmInert":0,"cmExact":0},"url":"https://sagebrush.space/atlas/mf/687.2.a.c"}