# Euler Factors of 2-409-1.1-c1-0-27 downloaded from the LMFDB on 11 September 2025. {"bad_lfactors": [[409, [{"__Complex__": 0, "prec": 53, "data": ["1.00000000000000", "0.000000000000000"]}, {"__Complex__": 0, "prec": 53, "data": ["-1.00000000000000", "0.000000000000000"]}]]], "first_lfactors": [[2, [{"__Complex__": 0, "prec": 53, "data": ["1.00000000000000", "0.000000000000000"]}, {"__Complex__": 0, "prec": 53, "data": ["-1.85177581246217", "0.000000000000000"]}, {"__Complex__": 0, "prec": 53, "data": ["2.00000000000000", "0.000000000000000"]}]], [3, [{"__Complex__": 0, "prec": 53, "data": ["1.00000000000000", "0.000000000000000"]}, {"__Complex__": 0, "prec": 53, "data": ["-1.64564520118264", "0.000000000000000"]}, {"__Complex__": 0, "prec": 53, "data": ["3.00000000000000", "0.000000000000000"]}]], [5, [{"__Complex__": 0, "prec": 53, "data": ["1.00000000000000", "0.000000000000000"]}, {"__Complex__": 0, "prec": 53, "data": ["-3.93196908047781", "0.000000000000000"]}, {"__Complex__": 0, "prec": 53, "data": ["5.00000000000000", "0.000000000000000"]}]], [7, [{"__Complex__": 0, "prec": 53, "data": ["1.00000000000000", "0.000000000000000"]}, {"__Complex__": 0, "prec": 53, "data": ["3.53265768655352", "0.000000000000000"]}, {"__Complex__": 0, "prec": 53, "data": ["7.00000000000000", "0.000000000000000"]}]], [11, [{"__Complex__": 0, "prec": 53, "data": ["1.00000000000000", "0.000000000000000"]}, {"__Complex__": 0, "prec": 53, "data": ["-2.86780075951234", "0.000000000000000"]}, {"__Complex__": 0, "prec": 53, "data": ["11.0000000000000", "0.000000000000000"]}]], [13, [{"__Complex__": 0, "prec": 53, "data": ["1.00000000000000", "0.000000000000000"]}, {"__Complex__": 0, "prec": 53, "data": ["5.08048199457599", "0.000000000000000"]}, {"__Complex__": 0, "prec": 53, "data": ["13.0000000000000", "0.000000000000000"]}]], [17, [{"__Complex__": 0, "prec": 53, "data": ["1.00000000000000", "0.000000000000000"]}, {"__Complex__": 0, "prec": 53, "data": ["2.89695301720892", "0.000000000000000"]}, {"__Complex__": 0, "prec": 53, "data": ["17.0000000000000", "0.000000000000000"]}]], [19, [{"__Complex__": 0, "prec": 53, "data": ["1.00000000000000", "0.000000000000000"]}, {"__Complex__": 0, "prec": 53, "data": ["-1.67790703515982", "0.000000000000000"]}, {"__Complex__": 0, "prec": 53, "data": ["19.0000000000000", "0.000000000000000"]}]], [23, [{"__Complex__": 0, "prec": 53, "data": ["1.00000000000000", "0.000000000000000"]}, {"__Complex__": 0, "prec": 53, "data": ["-0.133892672290899", "0.000000000000000"]}, {"__Complex__": 0, "prec": 53, "data": ["23.0000000000000", "0.000000000000000"]}]], [29, [{"__Complex__": 0, "prec": 53, "data": ["1.00000000000000", "0.000000000000000"]}, {"__Complex__": 0, "prec": 53, "data": ["1.23176860071865", "0.000000000000000"]}, {"__Complex__": 0, "prec": 53, "data": ["29.0000000000000", "0.000000000000000"]}]], [31, [{"__Complex__": 0, "prec": 53, "data": ["1.00000000000000", "0.000000000000000"]}, {"__Complex__": 0, "prec": 53, "data": ["-2.50017010197973", "0.000000000000000"]}, {"__Complex__": 0, "prec": 53, "data": ["31.0000000000000", "0.000000000000000"]}]], [37, [{"__Complex__": 0, "prec": 53, "data": ["1.00000000000000", "0.000000000000000"]}, {"__Complex__": 0, "prec": 53, "data": ["-9.64446914203660", "0.000000000000000"]}, {"__Complex__": 0, "prec": 53, "data": ["37.0000000000000", "0.000000000000000"]}]], [41, [{"__Complex__": 0, "prec": 53, "data": ["1.00000000000000", "0.000000000000000"]}, {"__Complex__": 0, "prec": 53, "data": ["0.232811540654568", "0.000000000000000"]}, {"__Complex__": 0, "prec": 53, "data": ["41.0000000000000", "0.000000000000000"]}]], [43, [{"__Complex__": 0, "prec": 53, "data": ["1.00000000000000", "0.000000000000000"]}, {"__Complex__": 0, "prec": 53, "data": ["-5.40056200330935", "0.000000000000000"]}, {"__Complex__": 0, "prec": 53, "data": ["43.0000000000000", "0.000000000000000"]}]], [47, [{"__Complex__": 0, "prec": 53, "data": ["1.00000000000000", "0.000000000000000"]}, {"__Complex__": 0, "prec": 53, "data": ["-10.3395327360290", "0.000000000000000"]}, {"__Complex__": 0, "prec": 53, "data": ["47.0000000000000", "0.000000000000000"]}]], [53, [{"__Complex__": 0, "prec": 53, "data": ["1.00000000000000", "0.000000000000000"]}, {"__Complex__": 0, "prec": 53, "data": ["10.4481021704756", "0.000000000000000"]}, {"__Complex__": 0, "prec": 53, "data": ["53.0000000000000", "0.000000000000000"]}]], [59, [{"__Complex__": 0, "prec": 53, "data": ["1.00000000000000", "0.000000000000000"]}, {"__Complex__": 0, "prec": 53, "data": ["-8.53141520327864", "0.000000000000000"]}, {"__Complex__": 0, "prec": 53, "data": ["59.0000000000000", "0.000000000000000"]}]], [61, [{"__Complex__": 0, "prec": 53, "data": ["1.00000000000000", "0.000000000000000"]}, {"__Complex__": 0, "prec": 53, "data": ["-14.4675231546862", "0.000000000000000"]}, {"__Complex__": 0, "prec": 53, "data": ["61.0000000000000", "0.000000000000000"]}]], [67, [{"__Complex__": 0, "prec": 53, "data": ["1.00000000000000", "0.000000000000000"]}, {"__Complex__": 0, "prec": 53, "data": ["9.21538544167760", "0.000000000000000"]}, {"__Complex__": 0, "prec": 53, "data": ["67.0000000000000", "0.000000000000000"]}]], [71, [{"__Complex__": 0, "prec": 53, "data": ["1.00000000000000", "0.000000000000000"]}, {"__Complex__": 0, "prec": 53, "data": ["-8.87533786024054", "0.000000000000000"]}, {"__Complex__": 0, "prec": 53, "data": ["71.0000000000000", "0.000000000000000"]}]], [73, [{"__Complex__": 0, "prec": 53, "data": ["1.00000000000000", "0.000000000000000"]}, {"__Complex__": 0, "prec": 53, "data": ["14.8382551310409", "0.000000000000000"]}, {"__Complex__": 0, "prec": 53, "data": ["73.0000000000000", "0.000000000000000"]}]], [79, [{"__Complex__": 0, "prec": 53, "data": ["1.00000000000000", "0.000000000000000"]}, {"__Complex__": 0, "prec": 53, "data": ["6.15862889636120", "0.000000000000000"]}, {"__Complex__": 0, "prec": 53, "data": ["79.0000000000000", "0.000000000000000"]}]], [83, [{"__Complex__": 0, "prec": 53, "data": ["1.00000000000000", "0.000000000000000"]}, {"__Complex__": 0, "prec": 53, "data": ["14.3828760501830", "0.000000000000000"]}, {"__Complex__": 0, "prec": 53, "data": ["83.0000000000000", "0.000000000000000"]}]], [89, [{"__Complex__": 0, "prec": 53, "data": ["1.00000000000000", "0.000000000000000"]}, {"__Complex__": 0, "prec": 53, "data": ["14.0138246415337", "0.000000000000000"]}, {"__Complex__": 0, "prec": 53, "data": ["89.0000000000000", "0.000000000000000"]}]], [97, [{"__Complex__": 0, "prec": 53, "data": ["1.00000000000000", "0.000000000000000"]}, {"__Complex__": 0, "prec": 53, "data": ["-8.70693648004693", "0.000000000000000"]}, {"__Complex__": 0, "prec": 53, "data": ["97.0000000000000", "0.000000000000000"]}]], [101, [{"__Complex__": 0, "prec": 53, "data": ["1.00000000000000", "0.000000000000000"]}, {"__Complex__": 0, "prec": 53, "data": ["-0.533090457757856", "0.000000000000000"]}, {"__Complex__": 0, "prec": 53, "data": ["101.000000000000", "0.000000000000000"]}]], [103, [{"__Complex__": 0, "prec": 53, "data": ["1.00000000000000", "0.000000000000000"]}, {"__Complex__": 0, "prec": 53, "data": ["-12.3689036157404", "0.000000000000000"]}, {"__Complex__": 0, "prec": 53, "data": ["103.000000000000", "0.000000000000000"]}]], [107, [{"__Complex__": 0, "prec": 53, "data": ["1.00000000000000", "0.000000000000000"]}, {"__Complex__": 0, "prec": 53, "data": ["-0.184917197268505", "0.000000000000000"]}, {"__Complex__": 0, "prec": 53, "data": ["107.000000000000", "0.000000000000000"]}]], [109, [{"__Complex__": 0, "prec": 53, "data": ["1.00000000000000", "0.000000000000000"]}, {"__Complex__": 0, "prec": 53, "data": ["9.85422134962270", "0.000000000000000"]}, {"__Complex__": 0, "prec": 53, "data": ["109.000000000000", "0.000000000000000"]}]], [113, [{"__Complex__": 0, "prec": 53, "data": ["1.00000000000000", "0.000000000000000"]}, {"__Complex__": 0, "prec": 53, "data": ["6.11043599926784", "0.000000000000000"]}, {"__Complex__": 0, "prec": 53, "data": ["113.000000000000", "0.000000000000000"]}]]]}