{"label":"515.2.a.c","letter":"c","dim":9,"charpoly":["-313002","89626","260785","-54431","-31389","3802","1017","-104","-10","1"],"traces":["9","1","3","11","-9","0","9","3","4","-1","1","13","23","1","-3","7","7","6","10","-11","9","10","3","9","9","-1","6","17","-9","0","12","12","-9","1","-9","-17","26","-5","-9","-3","-19","-3","16","-4","-4","-44","15","19","28","1","-12","18","1","-3","-1","-44","27","-9","1","-13","22","11","11","7","-23","-59","22","-12","3","-1","1","-20","29","-7","3","2","4","-21","8","-7","-35","-2","4","5","-7","-56","-5","-16","14","-6","2","-5","9","19","-10","-47","20","-41","9","11","-10","-23","9","-1","-9","-44","6","-33","31","-10","5","37","0","24","-3","-68","8","-46","-28","-9","-30","24","-28","30","-9","-32","9","-31","0","1","-9","2","24","3","-6","-58","-27","-73","-10","-17","-12","-35","20","-8","9","-38","26","-31","-19","0","27","23","23","12","-12","-27","22","23","-35","-12","-55","-13","-25","-18","9","-47","-7","-97","18","-1","-14","23","25","61","9","47","-15","56","-16","17","68","63","-23","-17","-26","-36","24","85","29","5","-33","22","53","36","9","16","63","-45","-15","3","-18","101","18","59","19","1","-6","-51","-29","3","40","26","58","95","-16","36","50","10","-91","4","44","51","-5","-3","4","14","11","45","62","44","26","26","27","24","-15","-7","45","0","-66","-19","15","3","-54","93","-28","17","-55","48","-4","-1","-45","-34","29","59","12","-97","46","-8","-79","-18","32","-68","10","0","-1","13","-62","54","4","3","2","-18","71","5","1","58","50","16","-6","44","-61","21","0","27","-27","109","-72","-25","-52","9","25","-16","79","19","-1","2","-8","-72","-23","13","67","-59","-14","48","-22","77","1","61","3","-11","-15","-12","45","102","-11","15","53","-15","-70","-7","-3","-83","-32","-42","23","-21","-30","93","-39","59","37","98","40","24","-22","-22","26","50","-44","12","47","-3","-63","-154","-3","51","-61","-115","71","1","16","-39","47","-35","-1","53","65","58","-117","20","-27","-34","-77","103","-29","-46","-52","53","-49","7","52","-31","23","-33","-3","60","-42","48","-19","-2","28","23","-16","59","-4","64","35","-42","-12","21","34","-70","-11","5","-8","-65","98","78","-49","7","17","-54","22","-114","35","2","-58","24","-31","2","32","11","45","5","-4","43","-1","-77","-46","-5","22","-80","-13","-15","7","67","-147","50","-42","56","11","-45","67","14","5","83","52","-113","1","16","-78","14","-44","113","-14","-83","-132","-43","-127","6","-19","-67","18","68","-2","12","9","-44","-56","5","59","-70","4","-114","-9","-98","-36","-111","32","-19","-25","-200","-48","72","10","-14","-35","-49","-19","47","30","126","-50","1","-20","-39","-42","62","-114","41","-19","-80","-71","-110","-9","79","-39","-164","-92","-11","53","-62","-10","-11","10","-63","-125","-69","-55","23","50","-79","33","68","-9","78","-2","8","-7","1","-60","-1","-65","5","9","52","-63","-18","0","44","103","-86","-37","108","-6","64","-14","69","-60","33","45","-95","-6","15","-31","102","-10","-82","-31","10","28","55","7","-16","-5","8","67","-110","40","-37","-103","-77","112","149","0","175","-114","-129","-197","-24","-67","51","2","37","3","70","37","29","13","68","18","188","-29","-57","-8","-48","-83","33","23","46","57","-67","2","118","28","22","-45","-149","39","9","8","-188","-60","56","30","86","-22","-10","-69","-24","-6","33","27","4","28","83","-31","0","68","-30","-23","41","71","-1","9","150","42","46","122","32","26","92","-44","137","-9","4","124","39","-10","31","-41","-8","31","17","0","-53","-89","103","-11","-1","-21","-251","8","89","9","-38","-8","-136","-17","-2","56","200","-98","5","-24","180","-64","-124","121","-3","70","-87","-9","-162","6","-46","33","98","-106","58","-77","67","36","52","27","211","-69","-33","-55","73","44","40","-71","-15","10","88","-61","110","-82","17","-101","7","96","28","12","9","90","26","115","35","156","1","1","10","-20","65","86","-121","23","8","9","80","82","22","-9","37","-123","-21","-44","38","63","228","49","54","-26","-73","57","-42","-67","31","156","-195","136","-6","19","-53","-179","-34","30","0","-5","119","98","-76","-27","-47","81","56","54","-23","-51","56","33","-243","-23","-147","80","-139","33","-12","34","123","-84","111","12","223","-21","-132","-19","27","-102","-47","117","-112","-22","-46","94","336","3","-23","29","-66","62","65","35","-61","130","-82","28","12","19","-39","75","-77","55","93","56","-115","-118","13","-12","-176","83","-102","25","30","-18","19","71","18","80","-7","27","3","-9","-234","36","28","99","47","63","97","85","0","7","-47","60","-122","-71","97","-24","23","42","81","-18","30","-17","54","2","1","109","125","103","-60","14","-22","8","-142","-74","-23","-150","-57","20","63","-25","110","-187","109","-49","-61","126","84","15","-44","-9","-68","1","-50","147","-47","-28","145","-29","-107","15","-16","37","225","-1","-56","35","63","-3","-2","16","103","-21","-64","-17","-17","-79","80","106","62","-68","-133","2","-45","109","-63","33","-15","117","139","23","-158","149","36","-86","17","-113","-147","39","98","26","139","4","53","-8","36","104","83","47","-96","-24","-206","-9","108","-76","-85","123","138","18","-96","-29","-23","72","-79","137","-5","78","-139","-57","-50","33","98","89","-92","166","-22","-145","-225","88","103","-53","-249","-159","20","115","-36","47","-82","-18","-325","-9","145","61","-49","-52","-16","-223","37","71","84","-63","144","-101","0","21","45","-88","-30","-77","51","15","75","94","7","-18","-3"],"lmfdb":"agrees","space":"515.2.a","level":515,"weight":2,"T":[[2,1],[3,3]],"status":"proven","derived":{"al":[[5,1],[103,-1]],"fricke":-1,"sign":1,"cm":null,"cmInert":0,"cmExact":0},"url":"https://sagebrush.space/atlas/mf/515.2.a.c"}