{"label":"597.2.a.e","letter":"e","dim":14,"charpoly":["151519161847","-120099054178","-18955958278","24248009298","-713062996","-1544551121","124417808","43302864","-4592932","-560724","70521","2986","-451","-5","1"],"traces":["14","2","14","20","1","2","11","3","14","4","0","20","15","-4","1","28","5","2","19","-11","11","0","6","3","25","-15","14","1","-14","4","11","-7","0","-9","9","20","1","-20","15","-11","-17","-4","38","-45","1","-10","-5","28","25","-40","5","16","-12","2","30","-34","19","-20","9","-11","14","12","11","15","-30","0","10","2","6","-74","-19","3","37","-14","25","27","8","-15","11","-16","14","12","45","1","-6","-39","-14","-62","-25","4","24","19","11","-10","-39","-7","3","-11","0","-16","12","-9","8","-24","9","-25","-18","20","19","-43","1","11","-27","-20","-30","-73","15","11","-36","-11","24","15","-17","-53","-54","-4","30","-47","38","-72","32","-45","-23","16","1","-56","-20","-10","32","-41","-5","-81","-29","28","-20","-66","25","-39","-67","-40","-15","-39","5","-63","-26","16","25","-31","-12","-57","-48","2","46","-32","30","-2","11","-34","23","11","19","56","-25","-20","-9","-53","9","-20","-48","-11","1","23","14","-32","-39","12","23","16","11","13","-18","15","8","-82","-30","-12","-9","0","-14","21","10","11","12","2","-7","95","6","46","-32","-74","71","54","-19","-5","41","3","6","79","37","119","-70","-14","-30","-92","25","67","61","27","-21","144","8","-125","-27","-15","49","118","11","17","21","-16","28","81","14","35","-41","12","62","156","45","-21","67","1","-46","35","-6","106","-5","-39","59","20","-14","93","101","-62","-40","107","-25","25","-33","4","-19","101","24","-19","39","19","2","67","11","-8","-71","-10","136","-59","-39","-89","13","-7","-11","248","3","102","-19","-11","-64","51","0","-43","0","-16","17","109","12","-107","-8","-9","62","79","8","6","49","-24","2","-33","9","91","-33","-25","-6","-80","-18","-107","100","20","15","28","19","79","-65","-43","-21","304","1","-13","-36","11","46","142","-27","-78","-47","-20","40","-93","-30","103","25","-73","-10","135","15","-121","36","11","20","119","-36","-85","5","-11","-3","86","24","53","-73","15","-6","204","-17","13","66","-53","-38","124","-54","-47","-77","-4","-17","82","30","66","47","-47","-151","10","38","-11","-54","-72","48","100","32","-168","182","-45","-75","-2","-23","-47","-44","16","65","-14","1","5","20","-56","0","12","-20","-147","-84","-10","-75","219","32","145","53","-41","-31","5","-5","-110","-88","-81","80","0","-29","-22","-27","28","-64","64","-20","129","-64","-66","-10","47","25","-111","138","-39","-75","137","-67","-35","-74","-40","46","-37","-15","-136","52","-39","-15","197","5","-175","-84","-63","-62","-153","-26","-34","95","16","-72","73","25","246","-41","-31","31","30","-12","73","-57","-57","12","119","-48","-102","-83","2","-96","44","46","100","106","-32","-15","-214","30","-76","-108","-2","-30","108","11","-90","31","-34","-113","70","23","52","-92","11","-25","-41","19","-127","88","56","-64","-15","-25","-281","-124","-20","44","109","-9","94","-78","-53","-38","-6","9","28","-101","-20","61","42","-48","-35","-89","-11","-29","174","1","-174","-124","23","-67","-39","14","98","-72","-32","54","-63","-39","8","-73","12","-73","-93","23","-8","180","16","-136","96","11","-154","-108","13","90","-110","-18","-188","-72","15","-65","55","8","-32","-161","-82","-38","-261","-30","26","92","-12","-78","-111","-9","-131","-63","0","-197","-38","-14","220","-3","21","29","14","10","73","-154","11","-1","-16","12","-29","7","2","0","-87","-7","127","-107","95","9","-119","6","-59","13","46","80","134","-32","60","-138","-74","-29","-64","71","33","193","54","-135","115","-19","169","-158","-5","31","-204","41","131","107","3","-39","-195","6","173","-102","79","-101","56","37","-127","-46","119","13","-18","-70","43","-58","-14","56","247","-30","187","-52","-92","99","14","25","193","-48","67","31","161","61","-205","33","27","-151","91","-21","352","-46","144","-45","-114","8","-16","5","-125","-31","-65","-27","-112","-72","-15","-55","-265","49","224","27","118","-22","220","11","-33","-118","17","92","-302","21","-152","-97","-16","100","-95","28","191","-93","81","-58","-10","14","220","198","35","37","-98","-41","-84","-80","12","11","-56","62","120","-15","156","86","46","45","90","-67","-21","-58","95","67","24","20","1","-57","-11","-46","-64","-39","35","122","-184","-6","244","-32","106","193","46","-5","15","-74","-39","-9","-245","59","138","-133","20","-145","-182","-14","-223","-94","93","70","90","101","-87","-176","-62","59","-34","-40","-20","14","107","-39","89","-25","-78","132","25","88","221","-33","141","-65","4","-77","73","-19","73","-58","101","73","-15","24","11","-81","-19","146","38","39","39","194","19","-47","54","2","116","46","67","70","255","11","25","52","-8","54","-14","-71","194","114","-10","-174","-34","136","132","34","-59","98","-301","-39","237","-23","-89","185","-25","13","-183","16","-7","-76","-106","-11","192","17","248","-91","106","3","34","391","102","-32","161","-19","64","-121","-11","93","-357","-64","79","190","51","127","-198","0","-137","57","-43","-117","-29","0","99","179","-16","86","6","17","212","-1","109","52","-7","12","68","-65","-107","66","-306","-8","-130","11","-9","-21","249","62","198","157","79","13","-45","8","-157","162","6","111","-149","49","-128","31","-24","-19","-165","2","551","-91","-33","126","-13","9","2","41","91","-17","-215","-33","-181","41","-25","-36","-41","-6","-67","-49","-80","257","224","-18","-23","162","-107","100","122","100","-79","157","20","-115","-232","15","413","13","28","-66","-250","19","-100","129","79","31","-116","-65","-177","72","-43","-47","409","-21","32","-1","304","91","-208","1","-52"],"lmfdb":"agrees","space":"597.2.a","level":597,"weight":2,"T":[[2,1],[5,3]],"status":"proven","derived":{"al":[[3,-1],[199,1]],"fricke":-1,"sign":1,"cm":null,"cmInert":0,"cmExact":0},"url":"https://sagebrush.space/atlas/mf/597.2.a.e"}