{"label":"589.2.a.c","letter":"c","dim":9,"charpoly":["181","-855","742","467","-600","-33","122","-10","-7","1"],"traces":["9","0","7","10","0","5","1","0","4","-4","7","-2","13","23","2","4","9","30","9","-10","-10","-8","13","6","5","13","19","-38","26","-11","-9","-10","-14","11","4","5","-9","0","4","-8","17","-24","13","8","3","-39","18","3","10","-23","-1","15","8","29","-9","28","7","11","47","-28","-13","0","-7","-12","42","-30","-36","-10","-8","9","15","53","-25","-24","28","10","12","-22","23","-19","21","4","-5","-50","-59","-2","31","-53","14","-66","20","25","-7","-18","0","24","6","-40","-59","-16","-14","-23","25","-14","18","-13","60","62","-29","19","-30","-41","-3","5","0","48","22","-46","40","-1","-22","-62","-27","-10","-3","-84","-6","-41","42","-63","12","-65","1","-44","-7","43","-32","-35","40","31","43","-61","30","10","-42","-18","-39","-66","-49","-35","4","0","20","105","0","-74","13","24","-56","-56","-30","8","-26","30","7","-18","5","-98","-14","68","4","32","23","91","-25","43","5","-64","74","-76","-41","77","-13","-54","-31","-5","-20","-16","-28","-4","-6","-3","-11","24","68","91","-15","-36","-58","23","-21","-21","-16","-39","-20","-20","-41","35","7","55","15","87","1","-1","7","63","-1","-76","-40","77","-49","-10","1","13","-26","148","76","-2","35","-20","45","-20","20","-18","43","141","-3","-12","32","-52","8","2","14","-19","-32","83","13","0","-3","78","102","31","55","-34","-37","-64","29","87","54","53","-39","58","5","-43","15","23","9","-68","10","-125","26","-52","-1","3","12","-78","3","21","-4","34","-6","106","-1","44","2","7","35","10","52","33","146","31","-23","8","-85","61","-77","40","35","39","-50","-67","-7","4","13","54","-18","-75","-42","4","13","-10","-21","-49","17","144","75","-81","63","155","7","140","9","83","-40","19","4","-16","-9","82","-29","-83","-45","62","64","25","22","-39","41","-110","-7","30","-79","163","27","-94","-1","142","-29","6","36","-31","-24","-18","72","-42","-33","9","-68","-16","9","99","-26","-1","-24","-83","26","74","-57","-85","-28","2","-44","73","50","-7","-23","-61","12","-10","34","49","70","-54","-83","-43","95","-31","6","-19","-12","-124","43","18","36","-107","-81","69","-10","-78","39","-3","-13","-55","-81","29","19","-135","-55","-8","-5","146","-98","22","18","-111","25","-8","123","127","52","43","27","-29","-16","-24","-56","98","-37","-10","30","69","11","-23","-102","-73","13","49","6","-29","-99","229","144","-3","-106","98","-85","-10","41","-69","23","46","-62","-49","-100","6","-64","26","36","51","38","10","30","29","-2","-110","22","-46","-27","-170","-8","55","-172","190","5","120","-27","38","50","-35","-36","170","29","-40","-153","145","-13","-81","-85","-22","-18","49","-51","13","56","-4","-76","-215","23","-12","-79","-136","-115","-191","102","-56","-69","-195","12","86","-59","53","19","-114","1","232","21","-135","-108","-29","17","152","-12","85","-7","10","-9","-46","-94","-17","-7","-38","-10","-27","52","-140","40","6","110","-105","36","-59","-10","146","-61","-77","-58","-24","-170","29","26","-7","-71","142","-51","35","-36","-30","-99","-135","-10","83","39","88","9","51","-104","44","117","-11","7","113","77","-3","9","-52","-69","-148","27","-11","58","142","18","-64","-18","-92","5","-34","-9","-79","-23","55","-49","-121","97","-51","-149","-58","49","100","-14","-192","-5","-34","-79","97","-14","-10","-28","220","66","7","-50","-120","-130","165","-5","-137","8","10","-15","10","-3","-39","-31","58","-14","103","0","104","32","-106","-35","123","112","-132","28","-89","-54","66","108","47","-59","-180","-38","11","47","-45","53","30","10","-76","-89","-46","-84","44","-81","-79","61","115","-49","-35","-62","48","4","-54","-3","14","-27","25","54","53","-93","-175","-133","79","-13","152","-79","53","61","8","-65","5","97","66","64","-160","70","39","122","82","72","90","-101","146","13","-56","128","-4","-143","-38","-9","-35","-20","-2","13","54","-15","-29","28","16","-13","7","8","216","38","-113","105","-59","-74","0","-26","49","92","50","-18","134","-47","42","69","0","-70","32","-79","-47","-51","133","-98","111","4","213","104","-6","-158","28","27","-73","14","-17","-86","134","220","16","128","-122","13","15","16","-8","50","-55","-65","-113","100","102","3","-71","-9","6","110","-89","-94","193","-5","67","5","108","17","33","-30","145","-13","178","-74","205","108","-134","-84","-43","55","22","-103","-98","40","148","-32","-24","-182","74","18","-77","9","-140","-98","-13","24","-124","-19","7","89","-273","96","36","-97","86","13","-231","24","55","38","138","17","-83","42","198","-12","-196","146","-78","170","59","-82","106","-44","8","-19","94","29","11","77","-243","56","-3","-11","85","24","31","-42","-222","43","75","-70","119","3","96","-47","6","105","-282","-14","21","69","-75","67","179","-13","38","-34","-80","-7","-33","196","-39","34","92","222","97","4","-7","38","131","41","-147","-62","-90","68","-1","115","87","-19","64","18","-32","-39","-47","-2","-120","-26","-8","40","-37","-195","101","89","69","73","-18","-36","185","18","3","63","94","83","10","-46","161","-162","26","-6","-1","2","82","-28","-52","-57","-23","-205","11","10","-60","-3","-116","-99","92","117","3","166","148","26","49","2","109","38","-20","146","125","-81","-23","205","-127","19","49","53","29","-9","9","-32","158","9","-117","48","96","-9","8","10","-73","-1","-20","58","111","41","-308","92","-152","-78","-127","-51","114","-32","224","-26","-54","57","-155","23","15","-102","124","64","10","-25","54","11","-268","-67","-32","-13","188"],"lmfdb":"agrees","space":"589.2.a","level":589,"weight":2,"T":[[2,1],[3,1]],"status":"proven","derived":{"al":[[19,-1],[31,1]],"fricke":-1,"sign":1,"cm":null,"cmInert":0,"cmExact":0},"url":"https://sagebrush.space/atlas/mf/589.2.a.c"}