{"label":"629.2.a.f","letter":"f","dim":8,"charpoly":["-33653744","50421239","19193125","-190732","-368949","-16724","941","69","1"],"traces":["8","0","-3","4","-5","-7","-5","0","5","-13","-6","-12","-1","-6","-19","-4","-8","14","-26","8","10","-7","-14","-2","-3","8","-12","-9","-9","11","-14","-15","4","0","1","-9","-8","6","-23","-2","2","0","-19","-15","2","-27","24","4","-15","4","3","3","18","-8","9","-21","4","13","-5","25","-29","5","-9","-20","16","31","-41","-4","29","25","3","28","20","0","36","-17","8","9","-41","15","4","-8","1","0","5","0","31","-11","-21","14","-59","2","-27","60","16","36","-29","46","-61","-25","22","7","7","40","14","30","28","-10","-13","3","3","10","-15","14","12","20","9","30","5","-6","-16","19","-1","16","-12","7","-2","19","-19","-18","24","75","-3","-3","1","0","34","60","10","42","-12","9","11","28","-35","21","-23","-4","16","62","-27","26","-5","26","36","6","22","-17","-36","7","-10","21","-69","52","44","19","-9","45","33","13","-28","-11","9","35","-15","-20","70","-37","-46","-1","20","-47","52","-11","5","-36","6","37","56","49","1","15","-11","-22","8","-12","-35","-90","-42","-23","2","-31","-6","12","7","61","12","16","41","-9","-4","-57","31","-31","38","-89","11","-9","-72","-35","1","7","-4","75","15","-62","-22","124","-85","-7","-62","-53","7","-7","-72","-57","7","6","-23","-52","8","84","11","-37","-8","-103","-18","18","20","30","-47","-3","-43","-58","19","-20","29","31","5","-65","-19","38","12","63","-12","4","-45","-27","18","-21","39","4","60","-34","-26","27","-33","-16","21","-16","-25","-115","-42","-3","88","-58","33","-33","8","-50","-18","55","67","29","-95","0","43","56","-26","-4","8","69","50","-77","-42","-14","-30","31","56","43","-3","-69","72","-49","-84","-29","8","1","-32","16","-124","-14","26","63","-1","18","8","24","-17","-3","-71","-4","-5","-9","42","33","60","5","22","-8","-10","-128","2","-9","-59","-37","-55","-75","-41","-30","-82","8","45","-1","-43","-95","-10","21","78","57","86","-118","-18","5","31","51","-6","43","47","13","7","-7","8","7","-9","11","9","55","-88","-145","23","-100","21","-30","28","4","-50","-26","-65","14","14","-15","-4","-2","51","-56","5","71","-31","54","-32","-39","9","-19","0","-70","6","2","59","55","28","18","12","-48","-40","-143","39","76","9","-15","7","-95","66","1","3","-162","8","106","139","18","-37","38","60","17","-20","-47","69","-55","-19","-2","-28","-8","-8","12","103","68","-56","58","41","-99","-98","-19","48","-54","46","-1","-54","-73","12","36","-9","-89","36","55","84","47","2","54","-10","-30","57","21","80","75","-23","9","70","-90","-1","19","1","-76","49","11","69","-3","62","-12","-26","-33","20","-166","9","46","96","-9","65","-14","-214","4","12","6","4","-57","-41","53","20","-61","77","-11","41","29","-9","155","-124","96","-91","6","76","7","10","-8","-22","-54","26","-147","14","-41","34","-10","-36","27","-45","127","127","120","-25","-7","63","79","-64","28","114","15","14","39","-75","113","-68","52","-71","-36","51","23","19","72","20","74","36","-76","-4","-75","89","-100","55","-132","-73","88","86","-36","-9","-78","14","-10","124","-78","-18","0","97","82","18","105","23","-82","149","-12","61","98","54","38","12","4","73","132","-1","102","47","82","27","-33","24","38","12","-128","-50","81","-92","64","-26","25","-90","9","79","60","51","3","33","1","-81","-37","34","121","12","-44","6","-2","-21","-17","8","-41","-58","-39","83","27","37","34","50","0","-1","71","19","26","-6","37","95","-6","52","12","23","-3","5","-32","-46","51","-58","18","134","-102","-27","-99","17","-4","23","-20","30","-14","84","89","-79","151","53","-80","-6","-109","74","-102","-113","-51","100","2","22","-66","-27","15","-28","-2","38","-16","2","-16","-122","-105","62","13","-33","4","-2","26","-64","-16","45","-108","26","139","-11","46","25","-60","-38","150","-37","14","-20","0","-92","58","143","-8","-68","-101","-16","-183","139","19","150","-162","24","19","-73","-61","19","-3","128","-12","67","81","13","284","-124","-8","37","70","50","-24","-16","-11","109","15","-89","-98","-99","-124","1","30","-90","19","-5","-124","-118","86","69","27","-104","-38","-2","55","26","143","25","16","-152","132","5","-89","-93","-128","-10","60","-92","-18","-27","27","95","-65","-30","-82","-23","80","26","53","44","-80","64","75","-89","-142","-72","-63","-24","3","-12","75","-117","-1","-25","6","61","-78","-153","-65","-99","-68","-135","7","77","-4","89","34","-43","106","-121","-118","-17","-71","-184","-31","9","-174","-23","-3","-90","-54","15","-112","6","76","-38","7","-58","42","-1","8","-67","90","-58","83","24","12","55","-4","14","-95","86","-26","153","-40","4","115","-29","-76","22","-58","47","114","-48","-150","-3","15","59","-53","144","122","-57","53","14","-147","41","-77","-6","75","59","-181","20","-3","-18","52","-34","2","100","47","-22","202","43","-49","50","-20","-163","73","-52","-193","-18","-189","-58","103","-16","-99","0","6","-14","121","82","-110","-125","113","52","33","15","8","-6","0","38","-26","-105","-62","3","-227","-45","-4","-12","8","145","4","-165","22","-9","68","75","18","-17","-68","123","19","-24","21","-11","67","-11","101","-96","70","15","21","-34","-77","85","-305","-67","250","19","81","-148","-8","-33","-15","-90","-8","-58","59","-4","1","-23","-41","-34","-81","-104","49","-137","1","152","-163","50","-10","17","-12","25","-13","23","-45","-44","43","-83","14","-135","28","-76","-217","-7","0","12","62"],"lmfdb":"agrees","space":"629.2.a","level":629,"weight":2,"T":[[2,1],[3,3],[5,5],[7,7]],"status":"proven","derived":{"al":[[17,1],[37,1]],"fricke":1,"sign":-1,"cm":null,"cmInert":0,"cmExact":0},"url":"https://sagebrush.space/atlas/mf/629.2.a.f"}