{"label":"958.2.a","level":958,"weight":2,"dims":{"new":39,"cusp":119,"eisenstein":3,"modsym":241},"old":[[479,40,2]],"T":[[3,1],[5,1]],"status":"proven","checks":["dim M^+ at levels [1, 2, 479, 958]: [0, 1, 41, 122] (certified at ell = 2147482877)","T = [(3, 1), (5, 1)]; h of degree 39 = 1 x 39 (phi(ord eps) x dim S_k^new); 5 primes, 0 rejected"],"newforms":[{"label":"958.2.a.a","letter":"a","dim":2,"charpoly":["-1","-4","1"],"traces":["2","-2","-1","2","5","1","4","-2","-3","-5","4","-1","-2","-4","0","2","7","3","8","5","3","-4","-6","1","5","2","2","4","-2","0","-16","-2","3","-7","15","-3","8","-8","-4","-5","-5","-3","-6","4","-10","6","-4","-1","4","-5","-6","-2","3","-2","15","-4","1","2","7","0","-6","16","-11","2","-10","-3","17","7","8","-15","30","3","18","-8","10","8","18","4","-20","5","-2","5","12","3","15","6","-9","-4","27","10","-14","-6","3","4","25","1","0","-4","-11","5","2","6","-2","2","10","-3","-3","2","6","-15","-19","4","0","-1","-10","-2","8","-7","9","0","-4","6","-15","-16","0","11","-10","-2","8","10","-12","3","26","-17","-5","-7","42","-8","5","15","-23","-30","-14","-3","-15","-18","18","8","26","-10","-4","-8","-8","-18","-45","-4","5","20","16","-5","-2","2","-8","-5","10","-12","-28","-3","-14","-15","-17","-6","8","9","35","4","-1","-27","-8","-10","-13","14","-17","6","5","-3","9","-4","-16","-25","2","-1","-7","0","-10","4","30","11","-24","-5","-16","-2","-24","-6","-30","2","4","-2","26","-10","-30","3","-15","3","-10","-2","-42","-6","-24","15","-2","19","22","-4","-20","0","-13","1","-17","10","11","2","15","-8","-35","7","15","-9","15","0","10","4","10","-6","30","15","-18","16","-16","0","-10","-11","-2","10","-5","2","14","-8","-14","-10","13","12","24","-3","25","-26","-16","17","27","5","-1","7","-8","-42","35","8","-14","-5","29","-15","-3","23","5","30","10","14","-45","3","-7","15","-5","18","-3","-18","20","-8","-16","-26","-4","10","-2","4","-1","8","-35","8","8","18","-29","45","-51","4","-4","-5","-40","-20","12","-16","-24","5","14","2","23","-2","-30","8","-13","5","-58","-10","-58","12","3","28","35","3","-25","14","-35","15","-42","17","20","6","10","-8","-38","-9","13","-35","18","-4","-18","1","75","27","8","8","44","10","4","13","22","-14","30","17","18","-6","25","-5","41","3","-28","-9","25","4","22","16","14","25","15","-2","1","1","65","7","4","0","-2","10","-26","-4","11","-30","-45","-11","-22","24","17","5","-9","16","26","2","10","24","-14","6","-15","30","-16","-2","19","-4","20","2","-20","-26","-3","10","-24","30","31","-3","5","15","-52","-3","-8","10","-9","2","13","42","-20","6","-14","24","-1","-15","-26","2","-11","-19","65","-22","2","4","13","20","-45","0","22","13","-50","-1","42","17","17","-10","-41","-11","11","-2","-10","-15","59","8","19","35","10","-7","-2","-15","45","9","-22","-15","2","0","22","-10","-4","-4","-5","-10","-3","6","-6","-30","56","-15","3","18","-40","-16","60","16","18","0","24","10","8","11","5","2","17","-10","-4","5","6","-2","-12","-14","-35","8","-58","14","16","10","-13","-13","24","-12","20","-24","-51","3","-18","-25","-13","26","40","16","5","-17","29","-27","48","-5","-15","1","29","-7","5","8","-38","42","29","-35","-28","-8","-30","14","-30","5","80","-29","-4","15","8","3","-5","-23","-35","-5","26","-30","-20","-10","54","-14","-51","45","10","-3","9","7","36","-15","4","5","41","-18","30","3","18","18","-74","-20","-35","8","-2","16","35","26","17","4","-17","-10","25","2","-18","-4","10","1","36","-8","-13","35","54","-8","40","-8","-35","-18","35","29","-13","-45","-26","51","49","-4","0","4","17","5","43","40","-14","20","25","-12","-15","16","-44","24","-45","-5","-35","-14","0","-2","10","-23","-41","2","19","30","-29","-8","-17","13","-25","-5","-12","58","-12","10","-39","58","-14","-12","95","-3","-14","-28","-41","-35","-52","-3","66","25","-45","-14","21","35","-10","-15","19","42","27","-17","110","-20","-4","-6","-38","-10","-18","8","-47","38","-5","9","0","-13","10","35","-57","-18","2","4","-50","18","4","-1","-31","-75","25","-27","38","-8","-50","-8","40","-44","-58","-10","-64","-4","10","-13","-55","-22","-1","14","21","-30","-26","-17","44","-18","40","6","19","-25","25","5","-16","-41","48","-3","80","28","-8","9","19","-25","-9","-4","-5","-22","10","-16","-29","-14","-4","-25","1","-15","-8","2","-25","-1","-12","-1","39","-65","-32","-7","-46","-4","-65","0","-3","2","-55","-10","60","26","38","4","25","-11","-35","30","-37","45","-70","11","46","22","35","-24","-82","-17","11","-5","-38","9","6","-16","-10","-26","-36","-2","-16","-10","2","-24","-2","14","-30","-6","-14","15","36","-30","11","16","22","2","20","-19","24","4","-18","-20","-3","-2","-6","20","-60","26","4","3","29","-10","-16","24","-56","-30","-25","-31","32","3","60","-5","-54","-15","-18","52","-60","3","49","8","13","-10","-25","9","12","-2","40","-13","-14","-42","-30","20","-2","-6","5","14","50","-24","44","1","24","15","14","26","-8","-2","5","11","36","19","0","-65","26","22","-66","-2","5","-4","12","-13","36","-20","-7","45","-4","0","-10","-22","-54","-13","-3","50","-65","1","4","-42","-40","-17","-14","-17","13","10","-24","41","-30","11","-55","-11","33","2","83","10","56","15","23","-59","35","-8","38","-19","-43","-35","-10","-10","-20","7","-55","2","26","15","12","-45","39","-9","-38","22","-45","15","-13","-2","94","0","76","-22","-8","10","15","4","101","4","-4","5","-64","10","-25","3","-10","-6","-87","6","49","30","1","-56","-26","15","55","-3","-31","-18","28","40","-90","16","24","-60","-55","-16","-39","-18","68","0"],"lmfdb":"agrees","derived":{"al":[[2,1],[479,-1]],"fricke":-1,"sign":1,"cm":null,"cmInert":0,"cmExact":0}},{"label":"958.2.a.b","letter":"b","dim":2,"charpoly":["-1","4","1"],"traces":["2","2","-3","2","-1","-3","0","2","1","-1","-10","-3","2","0","4","2","-3","1","-6","-1","-5","-10","-6","-3","-7","2","0","0","8","4","4","2","15","-3","-5","1","6","-6","-8","-1","-19","-5","-18","-10","-8","-6","4","-3","-4","-7","-8","2","-1","0","5","0","19","8","-5","4","16","4","15","2","-6","15","11","-3","4","-5","-18","1","-10","6","8","-6","0","-8","0","-1","2","-19","-32","-5","-11","-18","3","-10","11","-8","10","-6","9","4","13","-3","24","-4","-5","-7","8","-8","2","2","10","-1","-23","0","8","5","1","0","-8","19","-2","8","16","-5","25","4","28","16","31","4","6","15","-18","2","32","-6","6","15","-20","11","5","-3","-14","4","-23","-5","-21","-18","-10","1","11","-10","6","6","2","8","24","-6","36","0","13","-8","21","0","24","-1","10","2","12","-19","-20","-32","-16","-5","-14","-11","-33","-18","24","3","5","-10","5","11","22","-8","-5","10","-19","-6","7","9","15","4","-10","13","26","-3","13","24","14","-4","-12","-5","-4","-7","-24","8","-30","-8","12","2","12","2","30","10","-32","-1","37","-23","14","0","-30","8","0","5","22","1","30","0","4","-8","-21","19","7","-2","25","8","-33","16","-17","-5","-15","25","-25","4","6","28","12","16","2","31","-26","4","48","6","-16","15","30","-18","19","2","6","32","-20","-6","-41","6","-12","15","23","-20","-14","11","-9","5","17","-3","-20","-14","35","4","-8","-23","-43","-5","-13","-21","27","-18","-32","-10","-5","1","33","11","-31","-10","11","6","0","6","0","2","4","8","-10","24","-17","-6","-3","36","-12","0","7","13","-27","-8","-28","21","-10","0","-38","24","-40","-1","42","10","-41","2","-2","12","-47","-19","30","-20","6","-32","-27","-16","-13","-5","1","-14","17","-11","-20","-33","0","-18","-2","24","-40","3","7","5","-10","-10","18","5","19","11","-30","22","-4","-8","20","-5","-42","10","-10","-19","-10","-6","-17","7","-45","9","36","15","-29","4","-22","-10","-40","13","-3","26","57","-3","25","13","-24","24","42","14","34","-4","-9","-12","-15","-5","14","-4","45","-7","-37","-24","-26","8","14","-30","-30","-8","-9","12","36","2","5","12","16","2","32","30","-25","10","16","-32","47","-1","23","37","-10","-23","40","14","-41","0","-5","-30","-14","8","-2","0","31","5","-2","22","33","1","-3","30","2","0","7","4","95","-8","-46","-21","-10","19","30","7","-25","-2","-21","25","-57","8","-22","-33","-17","16","15","-17","-54","-5","90","-15","11","25","-68","-25","2","4","-14","6","0","28","-7","12","-1","16","-38","2","56","31","-87","-26","40","4","-20","48","-22","6","4","-16","8","15","-9","30","11","-18","46","19","30","2","20","6","9","32","-20","-20","-36","-6","7","-41","-2","6","10","-12","-81","15","-18","23","5","-20","-24","-14","19","11","-13","-9","20","5","3","17","-25","-3","-39","-20","-4","-14","-7","35","36","4","30","-8","-8","-23","-46","-43","-28","-5","40","-13","-3","-21","9","27","-30","-18","-12","-32","-16","-10","-29","-5","26","1","-59","33","18","11","0","-31","5","-10","-18","11","18","6","48","0","63","6","-10","0","-5","2","11","4","-7","8","-15","-10","28","24","-14","-17","-8","-6","25","-3","34","36","4","-12","-43","0","-13","7","15","13","-10","-27","-5","-8","12","-28","-95","21","-59","-10","62","0","73","-38","-21","24","-4","-40","-39","-1","-39","42","42","10","-46","-41","5","2","25","-2","35","12","13","-47","-3","-19","40","30","46","-20","7","6","-38","-32","25","-27","-54","-16","-35","-13","-80","-5","-18","1","-5","-14","13","17","-10","-11","69","-20","17","-33","22","0","-48","-18","-46","-2","-14","24","-75","-40","9","3","16","7","32","5","-11","-10","22","-10","38","18","10","5","51","19","45","11","-42","-30","30","22","10","-4","34","-8","-20","20","26","-5","-43","-42","43","10","-59","-10","2","-19","52","-10","-8","-6","-55","-17","-11","7","64","-45","0","9","4","36","-16","15","-15","-29","-29","4","-1","-22","-22","-10","-69","-40","-20","13","15","-3","70","26","-13","57","0","-3","21","25","-44","13","-62","-24","-29","24","15","42","67","14","90","34","30","-4","-33","-9","-7","-12","13","-15","-10","-5","6","14","-47","-4","-58","45","69","-7","-2","-37","50","-24","10","-26","36","8","-28","14","-58","-30","-8","-30","-26","-8","74","-9","20","12","-31","36","-38","2","-40","5","-2","12","-6","16","47","2","6","32","-12","30","30","-25","19","10","64","16","2","-32","-3","47","0","-1","-8","23","-38","37","18","-10","44","-23","-31","40","45","14","55","-41","92","0","-12","-5","-12","-30","0","-14","26","8","-3","-2","40","0","-16","31","-44","5","26","-2","-20","22","-5","33","36","1","60","-3","-10","30","-72","2","9","0","4","7","106","4","-111","95","60","-8","-30","-46","32","-21","19","-10","65","19","160","30","22","7","0","-25","-37","-2","8","-21","-38","25","-31","-57","-29","8","-1","-22","12","-33","63","-17","55","16","2","15","67","-17","48","-54","52","-5","5","90","-46","-15","20","11","27","25","70","-68","-3","-25","-15","2","-30","4","36","-14","-34","6","31","0","-9","28","84","-7","-18","12","5","-1","18","16","3","-38","-55","2","109","56","-22","31","51","-87","-55","-26","44","40","10","4","-64","-20","7","48","-5","-22","20","6"],"lmfdb":"agrees","derived":{"al":[[2,-1],[479,-1]],"fricke":1,"sign":-1,"cm":null,"cmInert":0,"cmExact":0}},{"label":"958.2.a.c","letter":"c","dim":6,"charpoly":["-73","-156","-68","40","40","11","1"],"traces":["6","6","-5","6","-6","-5","-10","6","1","-6","-7","-5","-7","-10","-11","6","-10","1","0","-6","11","-7","-21","-5","14","-7","-14","-10","-34","-11","-18","6","1","-10","-15","1","-19","0","-2","-6","18","11","6","-7","25","-21","-13","-5","26","14","27","-7","-22","-14","3","-10","-13","-34","13","-11","-10","-18","-19","6","0","1","-22","-10","27","-15","7","1","16","-19","7","0","0","-2","-23","-6","18","18","28","11","9","6","41","-7","16","25","-19","-21","7","-13","-21","-5","4","26","3","14","17","27","12","-7","58","-22","-9","-14","-14","3","40","-10","27","-13","46","-34","61","13","13","-11","3","-10","-50","-18","6","-19","4","6","14","0","-6","1","33","-22","18","-10","8","27","31","-15","21","7","21","1","51","16","-64","-19","2","7","-60","0","-51","0","-25","-2","-2","-23","35","-6","15","18","1","18","62","28","-30","11","53","9","36","6","-50","41","12","-7","8","16","-21","25","0","-19","27","-21","-11","7","-10","-13","83","-21","-11","-5","5","4","-5","26","-97","3","-2","14","38","17","19","27","55","12","-40","-7","16","58","6","-22","-11","-9","9","-14","118","-14","37","3","-49","40","-12","-10","-28","27","1","-13","36","46","-8","-34","-20","61","32","13","45","13","-8","-11","42","3","3","-10","13","-50","23","-18","25","6","12","-19","-4","4","-7","6","-43","14","10","0","-53","-6","-18","1","-31","33","-42","-22","21","18","-20","-10","96","8","-127","27","-13","31","-15","-15","44","21","4","7","49","21","-58","1","-14","51","31","16","-24","-64","16","-19","-17","2","-6","7","-48","-60","27","0","-3","-51","-72","0","-63","-25","-63","-2","-6","-2","-51","-23","6","35","70","-6","-16","15","-15","18","-58","1","-17","18","-65","62","-47","28","20","-30","19","11","32","53","-80","9","54","36","22","6","-10","-50","-76","41","-7","12","-152","-7","30","8","29","16","-81","-21","-15","25","10","0","26","-19","-115","27","29","-21","51","-11","75","7","-87","-10","-46","-13","-23","83","-90","-21","25","-11","-31","-5","63","5","-32","4","10","-5","29","26","-33","-97","-33","3","42","-2","-19","14","14","38","3","17","-23","19","-60","27","94","55","25","12","-23","-40","-117","-7","-69","16","-48","58","-38","6","10","-22","37","-11","-69","-9","-115","9","100","-14","49","118","55","-14","-157","37","20","3","56","-49","-41","40","32","-12","-44","-10","15","-28","-35","27","51","1","107","-13","78","36","98","46","34","-8","30","-34","154","-20","-12","61","12","32","16","13","-43","45","-10","13","-24","-8","6","-11","141","42","-19","3","-30","3","-79","-10","-98","13","-134","-50","124","23","-45","-18","-30","25","-64","6","18","12","-16","-19","-60","-4","-198","4","-27","-7","13","6","-24","-43","-12","14","36","10","11","0","21","-53","-5","-6","-36","-18","-55","1","157","-31","-54","33","-28","-42","-3","-22","-1","21","55","18","-54","-20","48","-10","21","96","-39","8","-23","-127","-33","27","89","-13","-69","31","-88","-15","-36","-15","41","44","70","21","-9","4","-129","7","67","49","23","21","-106","-58","-28","1","-14","-14","97","51","-45","31","32","16","-21","-24","2","-64","17","16","61","-19","-6","-17","35","2","-16","-6","96","7","116","-48","-55","-60","43","27","-89","0","-91","-3","69","-51","50","-72","-75","0","-122","-63","-61","-25","94","-63","-10","-2","30","-6","-66","-2","36","-51","-38","-23","-58","6","-38","35","-71","70","26","-6","3","-16","0","15","-85","-15","-8","18","-119","-58","-137","1","-28","-17","65","18","-101","-65","-68","62","-8","-47","167","28","-47","20","119","-30","-54","19","134","11","-48","32","53","53","-56","-80","45","9","-20","54","12","36","-56","22","-72","6","33","-10","4","-50","14","-76","10","41","-92","-7","121","12","-44","-152","1","-7","-42","30","-83","8","19","29","-20","16","109","-81","142","-21","19","-15","32","25","90","10","56","0","-121","26","-64","-19","49","-115","67","27","35","29","33","-21","49","51","-7","-11","-66","75","-13","7","69","-87","-76","-10","46","-46","40","-13","-47","-23","43","83","35","-90","88","-21","79","25","42","-11","-40","-31","-111","-5","-71","63","24","5","59","-32","-104","4","24","10","-118","-5","-93","29","134","26","-19","-33","59","-97","43","-33","19","3","113","42","85","-2","-156","-19","69","14","-14","14","54","38","66","3","-17","17","-68","-23","40","19","14","-60","90","27","-39","94","-226","55","-80","25","25","12","38","-23","-44","-40","37","-117","-28","-7","-53","-69","35","16","97","-48","34","58","146","-38","29","6","71","10","-63","-22","-114","37","52","-11","105","-69","-35","-9","-21","-115","41","9","172","100","-36","-14","161","49","-110","118","-55","55","-14","-14","-26","-157","-29","37","13","20","56","3","-19","56","116","-49","-129","-41","-6","40","97","32","142","-12","-2","-44","182","-10","103","15","-1","-28","59","-35","12","27","60","51","44","1","-30","107","47","-13","54","78","55","36","131","98","-36","46","80","34","-34","-8","106","30","73","-34","-54","154","110","-20","97","-12","-19","61","32","12","60","32","-14","16","130","13","-116","-43","-16","45","-16","-10","-58","13","-106","-24","185","-8","55","6","69","-11","166","141","71","42","-92","-19","37","3","132","-30","87","3","-37","-79","259","-10","15","-98","38","13","-27","-134","85","-50","129","124","68","23","-10","-45","-69","-18","101","-30","-46","25","-131","-64","-102","6"],"lmfdb":"agrees","derived":{"al":[[2,-1],[479,-1]],"fricke":1,"sign":-1,"cm":null,"cmInert":0,"cmExact":0}},{"label":"958.2.a.d","letter":"d","dim":8,"charpoly":["-25","-110","-71","158","76","-61","-17","5","1"],"traces":["8","-8","-2","8","-3","2","-2","-8","-2","3","-5","-2","-3","2","1","8","-15","2","2","-3","-6","5","-17","2","-5","3","-8","-2","-16","-1","8","-8","-16","15","-12","-2","-7","-2","-8","3","-11","6","0","-5","-5","17","-15","-2","-6","5","3","-3","-23","8","-4","2","-18","16","-4","1","-6","-8","-12","8","-36","16","-3","-15","-7","12","-5","2","-18","7","-17","2","-26","8","7","-3","-24","11","-30","-6","-10","0","2","5","-33","5","13","-17","-30","15","-18","2","-28","6","12","-5","-19","-3","-8","3","-12","23","-34","-8","-8","4","15","-2","-41","18","20","-16","-1","4","-14","-1","11","6","-1","8","-24","12","10","-8","8","36","-10","-16","1","3","15","15","-34","7","28","-12","24","5","-17","-2","-26","18","44","-7","4","17","34","-2","-5","26","18","-8","29","-7","11","3","-7","24","9","-11","16","30","-2","6","23","10","53","0","-40","-2","37","-5","-1","33","13","-5","43","-13","34","17","20","30","49","-15","11","18","3","-2","-10","28","43","-6","-5","-12","56","5","44","19","11","3","29","8","24","-3","-10","12","42","-23","44","34","19","8","-26","8","7","-4","41","-15","46","2","24","41","28","-18","25","-20","51","16","-37","1","49","-4","-2","14","15","1","16","-11","29","-6","21","1","25","-8","17","24","36","-12","28","-10","32","8","-9","-8","22","-36","52","10","-16","16","26","-1","50","-3","20","-15","27","-15","2","34","12","-7","-31","-28","26","12","-25","-24","3","-5","-3","17","23","2","-65","26","40","-18","-17","-44","32","7","43","-4","-16","-17","34","-34","-24","2","-38","5","-6","-26","30","-18","64","8","-78","-29","27","7","-44","-11","30","-3","-2","7","-24","-24","22","-9","20","11","-11","-16","53","-30","-27","2","-16","-6","-19","-23","23","-10","14","-53","-28","0","-24","40","-60","2","22","-37","48","5","-20","1","12","-33","25","-13","-49","5","-58","-43","6","13","15","-34","5","-17","-46","-20","0","-30","-39","-49","49","15","-41","-11","-4","-18","56","-3","-24","2","-48","10","-50","-28","-32","-43","21","6","-10","5","44","12","-62","-56","-10","-5","-19","-44","15","-19","9","-11","2","-3","-49","-29","29","-8","-22","-24","-57","3","-41","10","33","-12","32","-42","-15","23","10","-44","-17","-34","-51","-19","-29","-8","-58","26","13","-8","21","-7","-37","4","-42","-41","-94","15","-15","-46","12","-2","-96","-24","20","-41","-13","-28","35","18","-62","-25","41","20","55","-51","9","-16","14","37","-39","-1","-63","-49","-40","4","-31","2","31","-14","-30","-15","-8","-1","-97","-16","-29","11","-11","-29","-12","6","-92","-21","78","-1","9","-25","-1","8","-106","-17","-4","-24","54","-36","-64","12","-37","-28","63","10","-7","-32","97","-8","-18","9","-19","8","-60","-22","-9","36","52","-52","-95","-10","38","16","-12","-16","-33","-26","51","1","-6","-50","62","3","-10","-20","3","15","-19","-27","-107","15","26","-2","17","-34","34","-12","57","7","-57","31","9","28","26","-26","-30","-12","-11","25","5","24","52","-3","89","5","-21","3","79","-17","35","-23","0","-2","-13","65","-23","-26","41","-40","-7","18","-25","17","2","44","33","-32","56","-7","-24","-43","-6","4","-7","16","27","17","29","-34","15","34","113","24","-51","-2","46","38","-47","-5","-28","6","-46","26","73","-30","2","18","28","-64","-45","-8","-82","78","-21","29","-9","-27","76","-7","-29","44","19","11","-17","-30","-19","3","56","2","16","-7","5","24","-9","24","-118","-22","32","9","-75","-20","-22","-11","15","11","-62","16","119","-53","-35","30","38","27","1","-2","-21","16","32","6","-34","19","-12","23","-17","-23","-47","10","23","-14","-67","53","-52","28","96","0","23","24","38","-40","91","60","-49","-2","28","-22","-37","37","59","-48","-75","-5","38","20","53","-1","-72","-12","-1","33","-79","-25","12","13","45","49","-112","-5","-74","58","-56","43","84","-6","9","-13","-2","-15","-11","34","5","-5","-21","17","-86","46","-48","20","86","0","43","30","59","39","4","49","95","-49","9","-15","36","41","-47","11","-20","4","76","18","44","-56","36","3","-11","24","-13","-2","-54","48","112","-10","67","50","-25","28","-27","32","-67","43","101","-21","-68","-6","74","10","54","-5","-44","-44","145","-12","-75","62","58","56","92","10","-2","5","84","19","-118","44","-6","-15","33","19","-104","-9","-24","11","150","-2","76","3","-81","49","-62","29","3","-29","51","8","46","22","46","24","-5","57","123","-3","37","41","-73","-10","47","-33","-11","12","-34","-32","33","42","12","15","-51","-23","-132","-10","88","44","-3","17","-9","34","44","51","116","19","3","29","-44","8","-19","58","-32","-26","91","-13","106","8","27","-21","49","7","37","37","-64","-4","23","42","-52","41","138","94","22","-15","-95","15","-36","46","-64","-12","-31","2","69","96","-5","24","62","-20","56","41","-2","13","8","28","11","-35","64","-18","34","62","13","25","75","-41","-99","-20","16","-55","-2","51","23","-9","110","16","97","-14","-74","-37","-68","39","58","1","-76","63","-3","49","98","40","110","-4","29","31","16","-2","-78","-31","15","14","-26","30","-62","15","40","8","-29","1","-74","97","31","16","-13","29","32","-11","80","11","53","29","16","12","-79","-6","-28","92","-9","21","-8","-78","67","1","-76","-9","-17","25","-118","1","13","-8","-39","106","39","17","-32","4","-40","24"],"lmfdb":"agrees","derived":{"al":[[2,1],[479,1]],"fricke":1,"sign":-1,"cm":null,"cmInert":0,"cmExact":0}},{"label":"958.2.a.e","letter":"e","dim":10,"charpoly":["-11952","-37056","23888","15560","-7731","-2290","968","140","-52","-3","1"],"traces":["10","-10","3","10","0","-3","-2","-10","21","0","3","3","5","2","-3","10","22","-21","-20","0","-5","-3","37","-3","18","-5","6","-2","24","3","-8","-10","5","-22","17","21","-15","20","-6","0","28","5","18","3","21","-37","25","3","18","-18","13","5","38","-6","-31","2","43","-24","1","-3","-4","8","39","10","52","-5","-30","22","-15","-17","-19","-21","4","15","-19","-20","40","6","-5","0","46","-28","12","-5","-17","-18","53","-3","-24","-21","-25","37","11","-25","47","-3","4","-18","31","18","27","-13","-6","-5","42","-38","89","6","-38","31","28","-2","51","-43","14","24","39","-1","-11","3","59","4","60","-8","0","-39","14","-10","-4","-52","6","5","-31","30","-52","-22","-20","15","-9","17","-41","19","3","21","-3","-4","-58","-15","-16","19","-62","20","55","-40","-1","-6","-4","5","-53","0","19","-46","-39","28","-54","-12","30","5","45","17","-46","18","32","-53","-82","3","-48","24","11","21","-28","25","15","-37","-45","-11","-34","25","-49","-47","-27","3","33","-4","-127","18","-3","-31","-36","-18","-20","-27","-59","13","11","6","20","5","-54","-42","-40","38","7","-89","27","-6","-10","38","-93","-31","-37","-28","-48","2","-72","-51","-9","43","-50","-14","-176","-24","104","-39","-38","1","-133","11","-50","-3","-38","-59","-9","-4","-45","-60","-53","8","49","0","-18","39","-14","-14","-81","10","-51","4","-2","52","-11","-6","58","-5","-9","31","-14","-30","-15","52","-40","22","38","20","-19","-15","55","9","-97","-17","-18","41","-36","-19","21","-3","-12","-21","98","3","-87","4","30","58","-60","15","-57","16","44","-19","-98","62","77","-20","85","-55","2","40","-5","1","-35","6","22","4","99","-5","58","53","-46","0","44","-19","9","46","64","39","-43","-28","93","54","-57","12","-10","-30","-21","-5","-2","-45","36","-17","84","46","32","-18","58","-32","128","53","69","82","-212","-3","32","48","-51","-24","-135","-11","1","-21","98","28","36","-25","-147","-15","-37","37","65","45","-77","11","89","34","-140","-25","53","49","10","47","-17","27","-43","-3","-53","-33","106","4","38","127","-17","-18","-29","3","65","31","0","36","47","18","-22","20","-3","27","183","59","34","-13","64","-11","-3","-6","97","-20","35","-5","-1","54","-22","42","-20","40","-28","-38","189","-7","67","89","109","-27","-16","6","43","10","21","-38","-169","93","-16","31","-28","37","53","28","-68","48","48","-2","-15","72","15","51","105","9","87","-43","38","50","4","14","96","176","-68","24","-70","-104","-144","39","-18","38","28","-1","157","133","-44","-11","62","50","10","3","-71","38","95","59","6","9","7","4","150","45","-30","60","66","53","-61","-8","-22","-49","-78","0","-122","18","40","-39","-24","14","-278","14","85","81","-5","-10","162","51","56","-4","108","2","43","-52","-7","11","-35","6","-134","-58","63","5","61","9","112","-31","14","14","-31","30","-121","15","3","-52","80","40","-36","-22","5","-38","-5","-20","-35","19","-35","15","37","-55","71","-9","36","97","186","17","-137","18","-14","-41","21","36","-13","19","63","-21","-71","3","-60","12","98","21","90","-98","61","-3","3","87","-44","-4","105","-30","-4","-58","107","60","-13","-15","50","57","147","-16","62","-44","40","19","32","98","-157","-62","-129","-77","65","20","101","-85","-77","55","-10","-2","-11","-40","-66","5","15","-1","-110","35","-58","-6","162","-22","110","-4","8","-99","-82","5","-114","-58","-172","-53","-61","46","70","0","43","-44","86","19","-257","-9","-28","-46","181","-64","-141","-39","82","43","-33","28","11","-93","30","-54","-42","57","-41","-12","-141","10","55","30","-114","21","-72","5","116","2","-219","45","-46","-36","-21","17","18","-84","-46","-46","86","-32","-102","18","-55","-58","24","32","-46","-128","24","-53","44","-69","-11","-82","-18","212","-13","3","92","-32","-185","-48","27","51","-128","24","-121","135","-78","11","-29","-1","-34","21","10","-98","-18","-28","27","-36","120","25","141","147","-49","15","-129","37","103","-37","121","-65","-25","-45","-50","77","35","-11","-147","-89","-38","-34","32","140","-76","25","-59","-53","-45","-49","-7","-10","-52","-47","17","17","52","-27","168","43","115","3","237","53","-172","33","-55","-106","64","-4","-76","-38","28","-127","-83","17","124","18","-43","29","53","-3","75","-65","75","-31","-7","0","7","-36","-212","-47","-53","-18","-234","22","116","-20","48","3","25","-27","96","-183","-76","-59","-128","-34","-158","13","-31","-64","40","11","64","3","53","6","-22","-97","54","20","-35","-35","-58","5","11","1","211","-54","-75","22","-40","-42","-34","20","-119","-40","-139","28","165","38","68","-189","-176","7","43","-67","-123","-89","67","-109","53","27","32","16","104","-6","69","-43","98","-10","-207","-21","-4","38","-54","169","-37","-93","3","16","-28","-31","-1","28","-64","-37","-251","-53","92","-28","-15","68","-62","-48","-142","-48","-64","2","79","15","47","-72","97","-15","-210","-51","36","-105","22","-9","-104","-87","37","43","72","-38","141","-50","45","-4","296","-14","-64","-96","120","-176","-146","68","-43","-24","-90","70","-252","104","-99","144","-85","-39","22","18","140","-38","-124","-28","148","1","-152","-157","-54","-133","-118","44","-232","11","36","-62","-97","-50","73","-10","137","-3","-38","71","303","-38","-220","-95","-129","-59","-68","-6","127","-9","221","-7","57","-4","91","-150","14","-45","-213","30","13","-60","-31","-66","-42","-53","12","61","83","8","85","22","134","49","-87","78","290","0"],"lmfdb":"agrees","derived":{"al":[[2,1],[479,-1]],"fricke":-1,"sign":1,"cm":null,"cmInert":0,"cmExact":0}},{"label":"958.2.a.f","letter":"f","dim":11,"charpoly":["1000","8524","2694","-19863","7054","5879","-3348","-122","311","-31","-7","1"],"traces":["11","11","4","11","3","4","6","11","9","3","11","4","5","6","5","11","13","9","10","3","2","11","21","4","4","5","10","6","12","5","10","11","-8","13","0","9","3","10","0","3","-9","2","10","11","-5","21","7","4","-7","4","3","5","9","10","-4","6","-12","12","6","5","-4","10","-8","11","-12","-8","1","13","-17","0","17","9","-28","3","-17","10","12","0","5","3","-33","-9","-4","2","-18","10","2","11","-27","-5","-13","21","-16","7","10","4","-38","-7","-10","4","1","3","-22","5","-60","9","24","10","-20","-4","-41","6","-3","-12","-28","12","-3","6","2","5","-42","-4","-37","10","-24","-8","8","11","-26","-12","8","-8","-29","1","-17","13","8","-17","0","0","0","17","-3","9","-50","-28","-22","3","14","-17","12","10","-37","12","28","0","-21","5","-13","3","-15","-33","13","-9","-26","-4","46","2","-48","-18","-31","10","4","2","-7","11","-7","-27","9","-5","-19","-13","4","21","8","-16","-21","7","-43","10","11","4","-52","-38","-19","-7","41","-10","2","4","-86","1","47","3","-17","-22","20","5","-20","-60","2","9","-58","24","-3","10","-14","-20","9","-4","-3","-41","-22","6","-31","-3","48","-12","-17","-28","9","12","13","-3","-11","6","6","2","9","5","-46","-42","-21","-4","-19","-37","17","10","-31","-24","4","-8","14","8","26","11","13","-26","-24","-12","-8","8","48","-8","-102","-29","16","1","24","-17","1","13","-52","8","64","-17","49","0","20","0","25","0","7","17","15","-3","49","9","-12","-50","4","-28","21","-22","12","3","-13","14","26","-17","-32","12","30","10","-18","-37","48","12","-16","28","72","0","-76","-21","27","5","66","-13","26","3","6","-15","36","-33","-56","13","52","-9","43","-26","35","-4","-19","46","12","2","39","-48","-21","-18","-38","-31","6","10","-40","4","76","2","22","-7","64","11","16","-7","4","-27","97","9","47","-5","-47","-19","4","-13","83","4","19","21","-52","8","22","-16","-29","-21","-7","7","35","-43","100","10","-16","11","32","4","-36","-52","50","-38","44","-19","55","-7","6","41","16","-10","22","2","48","4","43","-86","-23","1","33","47","68","3","-59","-17","-3","-22","-16","20","79","5","55","-20","35","-60","-8","2","19","9","6","-58","41","24","41","-3","51","10","-44","-14","21","-20","117","9","43","-4","-27","-3","34","-41","5","-22","24","6","-38","-31","-6","-3","-7","48","7","-12","8","-17","29","-28","-11","9","11","12","18","13","87","-3","-9","-11","52","6","29","6","21","2","86","9","-11","5","-69","-46","5","-42","-13","-21","72","-4","20","-19","58","-37","-39","17","-57","10","-2","-31","-22","-24","-2","4","20","-8","-43","14","81","8","53","26","-21","11","8","13","5","-26","6","-24","-5","-12","-22","-8","-51","8","6","48","104","-8","14","-102","-19","-29","56","16","-40","1","56","24","51","-17","41","1","-85","13","26","-52","83","8","52","64","-1","-17","-129","49","131","0","88","20","56","0","-53","25","43","0","-110","7","33","17","29","15","47","-3","-5","49","34","9","69","-12","3","-50","65","4","73","-28","-59","21","80","-22","17","12","12","3","54","-13","10","14","121","26","105","-17","-41","-32","5","12","55","30","-57","10","-24","-18","55","-37","-28","48","74","12","79","-16","-18","28","-40","72","-3","0","-47","-76","3","-21","-35","27","8","5","3","66","47","-13","-35","26","59","3","-70","6","-74","-15","101","36","37","-33","-16","-56","-12","13","97","52","-118","-9","1","43","98","-26","-37","35","-43","-4","-42","-19","53","46","69","12","42","2","-132","39","-52","-48","43","-21","19","-18","-37","-38","-37","-31","42","6","146","10","-5","-40","-60","4","3","76","55","2","-152","22","45","-7","67","64","-61","11","-60","16","33","-7","56","4","-5","-27","43","97","56","9","87","47","18","-5","-182","-47","42","-19","76","4","5","-13","-75","83","-15","4","-79","19","-83","21","60","-52","-8","8","-82","22","71","-16","-105","-29","32","-21","27","-7","-67","7","-60","35","-47","-43","32","100","40","10","-38","-16","-48","11","-35","32","65","4","-30","-36","8","-52","-65","50","-21","-38","79","44","-15","-19","-111","55","-74","-7","-36","6","-60","41","38","16","-115","-10","-59","22","-178","2","152","48","-46","4","10","43","-176","-86","-64","-23","95","1","-34","33","-46","47","78","68","56","3","-153","-59","-96","-17","-43","-3","-109","-22","-42","-16","88","20","-59","79","-149","5","19","55","-57","-20","53","35","-59","-60","-77","-8","-5","2","2","19","-27","9","-2","6","-76","-58","-49","41","3","24","42","41","-62","-3","-17","51","-116","10","-111","-44","-22","-14","61","21","-184","-20","-187","117","-129","9","19","43","-32","-4","-221","-27","26","-3","-34","34","76","-41","-171","5","-52","-22","-18","24","-25","6","21","-38","-111","-31","-16","-6","-186","-3","-10","-7","-108","48","63","7","-12","-12","-120","8","-171","-17","-9","29","43","-28","-24","-11","52","9","-33","11","16","12","-81","18","-82","13","48","87","-128","-3","-20","-9","-45","-11","-76","52","-204","6","117","29","108","6","-104","21","25","2","-30","86","-2","9","52","-11","59","5","-183","-69","-235","-46","39","5","40","-42","-80","-13","-199","-21","-12","72","-73","-4","40","20","-113","-19","0","58","-17","-37","-156","-39","-23","17","8","-57","-55","10","-151","-2","-75","-31","-54","-22","-24","-24"],"lmfdb":"agrees","derived":{"al":[[2,-1],[479,1]],"fricke":-1,"sign":1,"cm":null,"cmInert":0,"cmExact":0}}],"seconds":0.379,"computed":"atlas","estimate":{"seconds":0.634,"low":0.387,"high":1.097,"bytes":2415244},"url":"https://sagebrush.space/atlas/mf/958.2.a"}