# Euler Factors of 2-51-51.11-c1-0-1 downloaded from the LMFDB on 25 September 2025.
{"bad_lfactors": [[3, [{"__Complex__": 0, "prec": 53, "data": ["1.00000000000000", "0.000000000000000"]}, {"__Complex__": 0, "prec": 53, "data": ["-0.802099250184552", "1.53513412861983"]}]], [17, [{"__Complex__": 0, "prec": 53, "data": ["1.00000000000000", "0.000000000000000"]}, {"__Complex__": 0, "prec": 53, "data": ["1.03609054699191", "-3.99080397644811"]}]]], "first_lfactors": [[2, [{"__Complex__": 0, "prec": 53, "data": ["1.00000000000000", "0.000000000000000"]}, {"__Complex__": 0, "prec": 53, "data": ["0.503008259557225", "-1.21436936220874"]}, {"__Complex__": 0, "prec": 53, "data": ["-1.41421356237310", "-1.41421356237310"]}]], [3, [{"__Complex__": 0, "prec": 53, "data": ["1.00000000000000", "0.000000000000000"]}, {"__Complex__": 0, "prec": 53, "data": ["-0.802099250184552", "1.53513412861983"]}]], [5, [{"__Complex__": 0, "prec": 53, "data": ["1.00000000000000", "0.000000000000000"]}, {"__Complex__": 0, "prec": 53, "data": ["0.0781693851626933", "-0.116988752298505"]}, {"__Complex__": 0, "prec": 53, "data": ["-1.91341716182545", "-4.61939766255643"]}]], [7, [{"__Complex__": 0, "prec": 53, "data": ["1.00000000000000", "0.000000000000000"]}, {"__Complex__": 0, "prec": 53, "data": ["1.47102058262135", "-0.982904529247187"]}, {"__Complex__": 0, "prec": 53, "data": ["2.67878402655563", "-6.46715672757901"]}]], [11, [{"__Complex__": 0, "prec": 53, "data": ["1.00000000000000", "0.000000000000000"]}, {"__Complex__": 0, "prec": 53, "data": ["-0.710484814198203", "3.57184836497432"]}, {"__Complex__": 0, "prec": 53, "data": ["-10.1626748576242", "-4.20951775601599"]}]], [13, [{"__Complex__": 0, "prec": 53, "data": ["1.00000000000000", "0.000000000000000"]}, {"__Complex__": 0, "prec": 53, "data": ["0.0825311355822653", "-0.0825311355822653"]}, {"__Complex__": 0, "prec": 53, "data": ["0.000000000000000", "-13.0000000000000"]}]], [17, [{"__Complex__": 0, "prec": 53, "data": ["1.00000000000000", "0.000000000000000"]}, {"__Complex__": 0, "prec": 53, "data": ["1.03609054699191", "-3.99080397644811"]}]], [19, [{"__Complex__": 0, "prec": 53, "data": ["1.00000000000000", "0.000000000000000"]}, {"__Complex__": 0, "prec": 53, "data": ["6.20278194505766", "2.56927640608585"]}, {"__Complex__": 0, "prec": 53, "data": ["13.4350288425444", "13.4350288425444"]}]], [23, [{"__Complex__": 0, "prec": 53, "data": ["1.00000000000000", "0.000000000000000"]}, {"__Complex__": 0, "prec": 53, "data": ["-6.15883580087852", "-1.22506860945534"]}, {"__Complex__": 0, "prec": 53, "data": ["21.2492292477596", "8.80171894439706"]}]], [29, [{"__Complex__": 0, "prec": 53, "data": ["1.00000000000000", "0.000000000000000"]}, {"__Complex__": 0, "prec": 53, "data": ["-3.27292255461661", "-2.18689693455908"]}, {"__Complex__": 0, "prec": 53, "data": ["11.0978195385876", "26.7925064428273"]}]], [31, [{"__Complex__": 0, "prec": 53, "data": ["1.00000000000000", "0.000000000000000"]}, {"__Complex__": 0, "prec": 53, "data": ["-8.78184877940691", "1.74681833068199"]}, {"__Complex__": 0, "prec": 53, "data": ["28.6402655078499", "-11.8631864033178"]}]], [37, [{"__Complex__": 0, "prec": 53, "data": ["1.00000000000000", "0.000000000000000"]}, {"__Complex__": 0, "prec": 53, "data": ["-0.0726521503844351", "-0.365247024815536"]}, {"__Complex__": 0, "prec": 53, "data": ["-34.1835427029176", "14.1592869975083"]}]], [41, [{"__Complex__": 0, "prec": 53, "data": ["1.00000000000000", "0.000000000000000"]}, {"__Complex__": 0, "prec": 53, "data": ["2.44314970262775", "3.65643192400717"]}, {"__Complex__": 0, "prec": 53, "data": ["-15.6900207269687", "37.8790608329628"]}]], [43, [{"__Complex__": 0, "prec": 53, "data": ["1.00000000000000", "0.000000000000000"]}, {"__Complex__": 0, "prec": 53, "data": ["-1.94823408123347", "0.806984979124390"]}, {"__Complex__": 0, "prec": 53, "data": ["30.4055915910215", "-30.4055915910215"]}]], [47, [{"__Complex__": 0, "prec": 53, "data": ["1.00000000000000", "0.000000000000000"]}, {"__Complex__": 0, "prec": 53, "data": ["2.11140562765204", "2.11140562765204"]}, {"__Complex__": 0, "prec": 53, "data": ["0.000000000000000", "47.0000000000000"]}]], [53, [{"__Complex__": 0, "prec": 53, "data": ["1.00000000000000", "0.000000000000000"]}, {"__Complex__": 0, "prec": 53, "data": ["2.45112769957185", "-5.91754573541472"]}, {"__Complex__": 0, "prec": 53, "data": ["-37.4766594028870", "-37.4766594028870"]}]], [59, [{"__Complex__": 0, "prec": 53, "data": ["1.00000000000000", "0.000000000000000"]}, {"__Complex__": 0, "prec": 53, "data": ["-8.83539847126700", "3.65974187576930"]}, {"__Complex__": 0, "prec": 53, "data": ["41.7193000900063", "-41.7193000900063"]}]], [61, [{"__Complex__": 0, "prec": 53, "data": ["1.00000000000000", "0.000000000000000"]}, {"__Complex__": 0, "prec": 53, "data": ["2.20784020702344", "3.30426637687584"]}, {"__Complex__": 0, "prec": 53, "data": ["-23.3436893742705", "56.3566514831885"]}]], [67, [{"__Complex__": 0, "prec": 53, "data": ["1.00000000000000", "0.000000000000000"]}, {"__Complex__": 0, "prec": 53, "data": ["0.000000000000000", "5.81844201321530"]}, {"__Complex__": 0, "prec": 53, "data": ["-67.0000000000000", "0.000000000000000"]}]], [71, [{"__Complex__": 0, "prec": 53, "data": ["1.00000000000000", "0.000000000000000"]}, {"__Complex__": 0, "prec": 53, "data": ["12.7461567472779", "-2.53536821359326"]}, {"__Complex__": 0, "prec": 53, "data": ["65.5954468083014", "-27.1705236979214"]}]], [73, [{"__Complex__": 0, "prec": 53, "data": ["1.00000000000000", "0.000000000000000"]}, {"__Complex__": 0, "prec": 53, "data": ["3.71467068534792", "2.48206359885452"]}, {"__Complex__": 0, "prec": 53, "data": ["27.9358905626516", "67.4432058733239"]}]], [79, [{"__Complex__": 0, "prec": 53, "data": ["1.00000000000000", "0.000000000000000"]}, {"__Complex__": 0, "prec": 53, "data": ["-2.39892869298854", "-0.477176585497339"]}, {"__Complex__": 0, "prec": 53, "data": ["72.9864830683916", "30.2319911568421"]}]], [83, [{"__Complex__": 0, "prec": 53, "data": ["1.00000000000000", "0.000000000000000"]}, {"__Complex__": 0, "prec": 53, "data": ["5.11813424803158", "2.12000061958090"]}, {"__Complex__": 0, "prec": 53, "data": ["58.6898628384834", "58.6898628384834"]}]], [89, [{"__Complex__": 0, "prec": 53, "data": ["1.00000000000000", "0.000000000000000"]}, {"__Complex__": 0, "prec": 53, "data": ["2.89760229460449", "-2.89760229460449"]}, {"__Complex__": 0, "prec": 53, "data": ["0.000000000000000", "-89.0000000000000"]}]], [97, [{"__Complex__": 0, "prec": 53, "data": ["1.00000000000000", "0.000000000000000"]}, {"__Complex__": 0, "prec": 53, "data": ["2.54849153969117", "-3.81408712440606"]}, {"__Complex__": 0, "prec": 53, "data": ["-37.1202929394137", "-89.6163146535948"]}]], [101, [{"__Complex__": 0, "prec": 53, "data": ["1.00000000000000", "0.000000000000000"]}, {"__Complex__": 0, "prec": 53, "data": ["-5.06728579670050", "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": ["15.9759730584664", "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": ["-0.756985906757096", "1.13290947030923"]}, {"__Complex__": 0, "prec": 53, "data": ["-40.9471272630646", "-98.8551099787077"]}]], [109, [{"__Complex__": 0, "prec": 53, "data": ["1.00000000000000", "0.000000000000000"]}, {"__Complex__": 0, "prec": 53, "data": ["-9.54382336895009", "6.37697889920745"]}, {"__Complex__": 0, "prec": 53, "data": ["41.7124941277948", "-100.702869043730"]}]], [113, [{"__Complex__": 0, "prec": 53, "data": ["1.00000000000000", "0.000000000000000"]}, {"__Complex__": 0, "prec": 53, "data": ["-2.64374641181964", "13.2910107433069"]}, {"__Complex__": 0, "prec": 53, "data": ["-104.398387173775", "-43.2432278572551"]}]]]}