Supplementary material

This file provides the effective Fisher matrix used in the O’Shaughnessy et al work “Parameter Estimation of Gravitational Waves from Precessing BH-NS Inspirals with higher harmonics”

archivedFisher[{"ZeroSpin",10,1.4},{"mc","eta"},"no"]={{5688.175128136812`,-8900.069643698453`},{-8900.069643698453`,15197.465204200163`}};
archivedFisher[{"ZeroSpin",10,1.4},{"mc","eta"},"with"]={{6016.616330169358`,-9611.353908558449`},{-9611.353908558449`,16927.781002438547`}};
archivedFisher[{"ZeroSpin",10,1.4},{"mc","etaM2"},"no"]={{5624.043555650726`,5.49751162990145`},{5.49751162990145`,0.005860837834005777`}};
archivedFisher[{"ZeroSpin",10,1.4},{"mc","etaM2"},"with"]={{5951.668134398092`,5.956519598806023`},{5.956519598806023`,0.006572867087650481`}};
archivedFisher[{"ZeroSpin",10,1.4},{"tau0","tau3"},"no"]={{88116.57091883606`,-36778.40493697036`},{-36778.40493697036`,16570.579386446076`}};
archivedFisher[{"ZeroSpin",10,1.4},{"tau0","tau3"},"with"]={{93456.6736675286`,-39819.41871573423`},{-39819.41871573423`,18479.814647397765`}};

archivedFisher[{"AlignedSpin",10,1.4,1},{"mc","eta","chi"},"no"]={{6044.328750476832`,-246.45867505430542`,-1413.988523312787`},{-246.45867505430542`,379.8695819008389`,146.8346556014234`},{-1413.988523312787`,146.8346556014234`,354.27492418928847`}};
archivedFisher[{"AlignedSpin",10,1.4,1},{"mc","eta","chi"},"with"]={{7072.677707357888`,-603.7763314530515`,-1718.049784887951`},{-603.7763314530515`,646.1538734280025`,274.9828581457834`},{-1718.049784887951`,274.9828581457834`,448.0988548621682`}};
archivedFisher[{"AlignedSpin",10,1.4,1},{"mc","etaM2","chi"},"no"]={{5838.389536232642`,0.038788067509287406`,-1325.7877416288711`},{0.038788067509287406`,0.00014831217704130902`,-0.06308558428260226`},{-1325.7877416288711`,-0.06308558428260226`,323.01808683475247`}};
archivedFisher[{"AlignedSpin",10,1.4,1},{"mc","etaM2","chi"},"with"]={{6788.034672014279`,0.27433340306456666`,-1618.554621126701`},{0.27433340306456666`,0.0002567357187004949`,-0.14710284145023567`},{-1618.554621126701`,-0.14710284145023567`,416.1791747454936`}};
archivedFisher[{"AlignedSpin",10,1.4,1},{"tau0","tau3","chi"},"no"]={{82974.61922449917`,-683.6609241208284`,5156.839005281302`},{-683.6609241208284`,430.0140489883978`,-133.15709605853408`},{5156.839005281302`,-133.15709605853408`,341.9181695062168`}};
archivedFisher[{"AlignedSpin",10,1.4,1},{"tau0","tau3","chi"},"with"]={{96902.97437669456`,-2178.2637257644487`,6277.479675363758`},{-2178.2637257644487`,732.2368960496299`,-272.3175550581164`},{6277.479675363758`,-272.3175550581164`,434.96663474630395`}};

(*2014-02-06 version of precessing effective Fisher matrix*)archivedFisher[{"PrecessingSpinA",10,1.4,1},{"mc","eta","chi","beta","theta","alpha","phi"},"no"]={{5142.157725463446`,1880.9696951910864`,-1058.036576344038`,1185.782139664882`,-1.6236728520216277`,2.715930214139191`,-5.837534936165024`},{1880.9696951910864`,1430.594843664119`,-432.34216263686534`,352.2087146869279`,0.11400679268980869`,-4.5385879076475275`,6.444888394217116`},{-1058.036576344038`,-432.34216263686534`,244.91081191210213`,-276.20734957857627`,0.3107541264344067`,-0.3072821209437428`,2.2105765881126653`},{1185.782139664882`,352.2087146869279`,-276.20734957857627`,361.02822631774495`,0.06601149588620608`,1.6226125155412783`,-6.499245311931304`},{-1.6236728520216277`,0.11400679268980869`,0.3107541264344067`,0.06601149588620608`,0.7823388680864725`,-0.0011071557823961575`,0.009234913006012419`},{2.715930214139191`,-4.5385879076475275`,-0.3072821209437428`,1.6226125155412783`,-0.0011071557823961575`,0.318562279661729`,-0.10322410687625906`},{-5.837534936165024`,6.444888394217116`,2.2105765881126653`,-6.499245311931304`,0.009234913006012419`,-0.10322410687625906`,0.36902756696597805`}};

archivedFisher[{"PrecessingSpinA",10,1.4,1},{"mc","eta","chi","beta","theta","alpha","phi"},"with"]={{5476.2996292544`,1853.0395733497494`,-1149.4662381318767`,1300.914152975531`,-1.9571960947674254`,3.963719184071177`,-7.582787409267044`},{1853.0395733497494`,1488.575174742933`,-431.1970244723407`,345.55416261016865`,0.08584802929356547`,-5.1327431202906935`,6.819178935450908`},{-1149.4662381318767`,-431.1970244723407`,271.6052191890116`,-308.5170237216283`,0.4155231023015877`,-0.48451129436733054`,2.6720441929298486`},{1300.914152975531`,345.55416261016865`,-308.5170237216283`,402.6760455389089`,-0.06850543925337459`,1.855615211205957`,-7.229132732072911`},{-1.9571960947674254`,0.08584802929356547`,0.4155231023015877`,-0.06850543925337459`,0.8409656605459221`,-0.0023130018789642307`,0.01054802566834909`},{3.963719184071177`,-5.1327431202906935`,-0.48451129436733054`,1.855615211205957`,-0.0023130018789642307`,0.3340085594551275`,-0.10311124509462427`},{-7.582787409267044`,6.819178935450908`,2.6720441929298486`,-7.229132732072911`,0.01054802566834909`,-0.10311124509462427`,0.3893987859564608`}};

archivedFisher[{"PrecessingSpinB",10,1.4,1},{"mc","eta","chi","beta","theta","alpha","phi"},"no"]={{7585.312968144418`,2083.8770203770287`,-1701.8443222519027`,1984.3996456379332`,0.9037755561991815`,5.6262688058084604`,-17.61794304740967`},{2083.8770203770287`,1559.1635013786465`,-466.3335803891133`,380.50719683436955`,0.25124635339055523`,-4.777574725579391`,7.277116933552891`},{-1701.8443222519027`,-466.3335803891133`,423.5710522641468`,-499.13166247498174`,-0.48149440527558846`,-1.1353517645599114`,5.751903862875708`},{1984.3996456379332`,380.50719683436955`,-499.13166247498174`,641.7052119395524`,1.0456121137818915`,2.710608944420007`,-11.102725149920952`},{0.9037755561991815`,0.25124635339055523`,-0.48149440527558846`,1.0456121137818915`,0.8117455428549643`,-0.0007517653226432256`,-0.004285906818908111`},{5.6262688058084604`,-4.777574725579391`,-1.1353517645599114`,2.710608944420007`,-0.0007517653226432256`,0.33610599742698427`,-0.1275152905492912`},{-17.61794304740967`,7.277116933552891`,5.751903862875708`,-11.102725149920952`,-0.004285906818908111`,-0.1275152905492912`,0.4565177863814719`}};

archivedFisher[{"PrecessingSpinB",10,1.4,1},{"mc","eta","chi","beta","theta","alpha","phi"},"with"]={{8182.849060295286`,1991.8452657944038`,-1894.2984080935505`,2232.5219928954843`,0.8540718368441456`,6.846258436186246`,-22.489425620512627`},{1991.8452657944038`,1573.9200648535818`,-453.62260656482835`,365.43307144063914`,0.3915011235515607`,-5.2918072937190095`,7.2799179235040565`},{-1894.2984080935505`,-453.62260656482835`,484.13023807649245`,-575.7246981205429`,-0.4758265817940656`,-1.3084388281418025`,7.1788274125393565`},{2232.5219928954843`,365.43307144063914`,-575.7246981205429`,739.2049579358222`,0.9871160813932849`,2.9215845800452613`,-12.936295421086454`},{0.8540718368441456`,0.3915011235515607`,-0.4758265817940656`,0.9871160813932849`,0.8588961617405274`,-0.003646028051433315`,-0.0062346930675904735`},{6.846258436186246`,-5.2918072937190095`,-1.3084388281418025`,2.9215845800452613`,-0.003646028051433315`,0.3469773726394206`,-0.1258559091239252`},{-22.489425620512627`,7.2799179235040565`,7.1788274125393565`,-12.936295421086454`,-0.0062346930675904735`,-0.1258559091239252`,0.49110545671831335`}};

archivedFisher[{"PrecessingSpinC",10,1.4,1},{"mc","eta","chi","beta","theta","alpha","phi"},"no"]={{7376.314015643065`,1685.771973223274`,-1671.1342567636657`,2017.2160823888687`,1.9727414523346751`,9.339284545685675`,-22.312470762049863`},{1685.771973223274`,1477.217223439981`,-375.4904894867413`,273.8927107967521`,0.08543365613798783`,-6.277160123904151`,8.011185849348406`},{-1671.1342567636657`,-375.4904894867413`,425.8106201689745`,-524.7153627290695`,-0.8307605120049286`,-2.316851941306023`,7.608304296695366`},{2017.2160823888687`,273.8927107967521`,-524.7153627290695`,710.5244407440692`,1.5498921610121423`,4.973384376584105`,-14.541943428341147`},{1.9727414523346751`,0.08543365613798783`,-0.8307605120049286`,1.5498921610121423`,0.8656455336268906`,0.004186616037303409`,-0.013879282267901725`},{9.339284545685675`,-6.277160123904151`,-2.316851941306023`,4.973384376584105`,0.004186616037303409`,0.42386843234459004`,-0.2148422123938894`},{-22.312470762049863`,8.011185849348406`,7.608304296695366`,-14.541943428341147`,-0.013879282267901725`,-0.2148422123938894`,0.5851914908117364`}};

archivedFisher[{"PrecessingSpinC",10,1.4,1},{"mc","eta","chi","beta","theta","alpha","phi"},"with"]={{8486.50439772645`,1581.5071355580892`,-2011.5708341469315`,2462.0864605664783`,2.744002570689688`,12.570689571882856`,-31.16737622140129`},{1581.5071355580892`,1566.5884135183358`,-355.0414826027955`,240.11136370181364`,0.19890171403552623`,-7.276287972423053`,8.703223215163623`},{-2011.5708341469315`,-355.0414826027955`,530.4125622893138`,-659.8950909233422`,-1.107942195139151`,-3.0068961273900174`,10.232540752388767`},{2462.0864605664783`,240.11136370181364`,-659.8950909233422`,888.0588705231185`,1.8527198977805568`,5.912233324973581`,-18.110721020905814`},{2.744002570689688`,0.19890171403552623`,-1.107942195139151`,1.8527198977805568`,0.9177122780069537`,0.002109323624148567`,-0.021714248270354442`},{12.570689571882856`,-7.276287972423053`,-3.0068961273900174`,5.912233324973581`,0.002109323624148567`,0.4424995388757696`,-0.22672891489883057`},{-31.16737622140129`,8.703223215163623`,10.232540752388767`,-18.110721020905814`,-0.021714248270354442`,-0.22672891489883057`,0.6618187832846079`}};

(*20140410-using kappa*)

archivedFisher[{"PrecessingSpinC",10,1.4,1},{"mc","eta","chi","kappa","theta","alpha","phi"},"no"]={{7517.666277570587`,-6730.800517003768`,-1090.4282654158305`,-1567.9712029173602`,2.0535083683871447`,9.525338847920793`,-22.88921835678966`},{-6730.800517003768`,11297.418798373252`,1010.252597942845`,2039.2447170224614`,-6.35099547527995`,-26.786936721655188`,68.01144826889633`},{-1090.4282654158305`,1010.252597942845`,179.0296824429039`,242.8471747528764`,-0.380118295212832`,-0.8628010568006995`,3.3534225059757614`},{-1567.9712029173602`,2039.2447170224614`,242.8471747528764`,418.90284203818715`,-1.1974456074733415`,-3.8200806073683546`,11.1803885890881`},{2.0535083683871447`,-6.35099547527995`,-0.380118295212832`,-1.1974456074733415`,0.8655437175718933`,0.004254051883098207`,-0.014109684257624868`},{9.525338847920793`,-26.786936721655188`,-0.8628010568006995`,-3.8200806073683546`,0.004254051883098207`,0.42381801700706545`,-0.21498842209161131`},{-22.88921835678966`,68.01144826889633`,3.3534225059757614`,11.1803885890881`,-0.014109684257624868`,-0.21498842209161131`,0.5857558116727754`}};

archivedFisher[{"PrecessingSpinC",10,1.4,1},{"mc","eta","chi","kappa","theta","alpha","phi"},"with"]={{8657.493336573796`,-8695.969147749272`,-1303.7161589149475`,-1913.809089927831`,2.8376885383053834`,12.76043386795535`,-31.85751711188803`},{-8695.969147749272`,14690.210186549053`,1364.2558756329472`,2627.635212342285`,-7.489305059948284`,-31.645431289317177`,83.4494329435515`},{-1303.7161589149475`,1364.2558756329472`,219.7636784401103`,306.75008342263436`,-0.5694150480108306`,-1.2761744872233687`,4.934026649504656`},{-1913.809089927831`,2627.635212342285`,306.75008342263436`,523.4536439686618`,-1.4318872186094291`,-4.537116917804887`,13.919895373196887`},{2.8376885383053834`,-7.489305059948284`,-0.5694150480108306`,-1.4318872186094291`,0.9176508761937406`,0.0022256280757264905`,-0.022038458453415708`},{12.76043386795535`,-31.645431289317177`,-1.2761744872233687`,-4.537116917804887`,0.0022256280757264905`,0.44240709002115863`,-0.22679994916179227`},{-31.85751711188803`,83.4494329435515`,4.934026649504656`,13.919895373196887`,-0.022038458453415708`,-0.22679994916179227`,0.6624790142104665`}};