southeastern louisiana university / ligo livingston 1 modeling the input optics using e2e r. dodda,...
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Southeastern Louisiana University / LIGO Livingston
Calculating the HAM tables yawHAM stack boxX inY inTable uTable v
LIGO Laboratory
Southeastern Louisiana University / LIGO Livingston
Dependence of k on frequency
LIGO Laboratory
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Wave number k(f)
Chart6
0.999794190.999773380.99967819
0.999579310.999554040.99943101
0.0201071240.136989560.037354279
0.251748350.134129910.092979878
0.284912850.480160980.26264036
0.645879630.585657780.44376045
0.695742430.470399860.24190889
0.58466750.718011320.54304087
0.591038050.764268580.35634139
0.604636490.855208220.65683663
0.886838560.88105470.87530625
0.953125830.928678630.90938085
0.975046520.87939560.9367013
0.931183520.91033840.92878252
0.971911070.955955210.96843737
0.981582340.960820260.96478677
0.992451970.968026760.97712153
0.994888420.969952520.96846145
0.99213630.977903720.9701916
0.995683970.988012610.96207356
0.992874560.989278020.98273814
0.996028780.988242270.98865706
0.997855840.99180120.98989516
0.993554120.990673780.9865911
0.994336370.982790650.99109691
0.996843160.993164660.98553556
0.997986970.989684280.99357629
0.997640310.985628130.99032307
0.997417030.981720810.99007308
0.998525560.990069330.99284577
0.996568740.983977740.98966593
0.995950640.988541840.97728533
0.995989920.99298960.98084986
0.992274760.990380110.98579895
0.992481950.981912790.99021971
0.994238260.987576780.97865605
0.9946720.991417770.97711039
0.996688310.99150670.97328937
0.998335180.983047780.97285116
0.997817870.976554040.96119213
0.998012960.98502570.97625816
0.998047470.977836670.98732835
0.996195970.933440030.97546476
0.997413160.912453590.95714945
0.992410960.888297680.9718129
0.987023170.822377680.9800204
0.991202710.904062870.96855676
0.989493070.94291770.92597312
0.993261640.968114440.95575571
0.983666540.982502940.96417171
0.959976020.989589040.96523839
0.972685340.985978780.9655025
0.992380380.978351290.88311213
0.990230320.968737960.89852053
0.976900880.949724080.84961206
0.967172210.931759660.86629337
0.96533430.97742420.53302932
0.98676020.964420260.42292276
0.993130980.946842490.56004429
0.993373160.946252520.7683723
0.991678890.948867680.85364139
0.982926310.968073670.83811367
0.976160050.969780390.92746204
0.980582480.952741380.95823532
0.976707640.949597360.95109648
0.932001890.958719670.92202842
0.96252030.962255120.88486421
0.946962710.858986620.92748928
0.951048430.883258580.85952842
0.903547350.95635110.85554004
0.911816120.969765540.84536874
0.962424640.919362430.87669975
0.946627260.747252640.82568067
0.948985160.87471110.82669693
0.92595440.924750210.88711107
0.956834320.939017360.96606845
0.932397130.887712180.96725678
0.937669930.866457820.90634382
0.926418840.666416470.74943203
0.940153420.873043950.86910915
0.942657590.882099330.88783741
0.910720710.841294590.89271069
0.931802630.89575750.92077261
0.936868010.866910280.94818729
0.975199760.904613790.93898052
0.966262580.94040430.78814876
0.85723490.910663130.88526869
0.804436210.775770720.92883897
0.844843390.846115050.8887639
0.892443120.825751480.84858286
0.86834460.789616170.81201625
0.916435120.904909310.81700915
0.850812850.829533160.91649437
0.723253370.749989630.87905163
0.792815570.605796640.72164178
0.878568710.58474320.88155699
0.907602610.806977690.82711953
0.906634510.669445040.66559237
0.791518870.663512410.66377097
0.807165320.730308530.8197704
0.656381310.762504940.70702612
0.783147040.75889760.70310509
0.864558280.723432960.45515269
0.850482580.614643810.83686191
0.747698430.608731630.82323903
0.870130720.55755270.72715425
0.930904030.699318350.70146942
0.921953620.826546430.76371181
0.897657570.609723570.67512304
0.924527110.722450970.70358294
0.937106850.731360850.81358248
0.923504350.856410680.76911306
0.940212190.808143140.82893085
0.956957520.792447920.79352427
0.827751280.839992460.81372899
0.834048810.917914630.89466053
0.864965860.879948560.79715729
0.848703740.806426880.83804208
0.876987760.810346780.8541891
0.851720090.771457370.79406327
0.858257590.692702830.80850416
0.84973890.651748120.80009151
0.862358150.744351980.85920328
0.740517740.861560880.82544637
0.733708320.637982730.74320298
0.879141150.63991880.73278034
0.837652210.806972440.78130025
0.900418820.793931480.78332627
0.924566810.884277050.6785661
0.912583230.837771590.80018854
0.837895150.47944960.8458817
0.868313490.493288760.79577416
0.896567460.509633960.79316378
0.861182570.705385630.81766826
0.878908570.567161380.68075889
0.835305570.466109990.84788263
0.756567180.770116570.5642516
0.838903610.733275650.69264066
0.755036770.680663350.7320596
0.518269660.649147870.5514456
0.703000550.68764430.35896531
0.624241290.125625270.53907579
0.580535590.341066390.563568
0.643461350.394966330.40232456
0.623153750.431587460.63564163
0.867308260.365510340.71725374
0.831648710.520264980.58718878
0.877866740.469242360.36909738
0.805830660.331053580.31677437
0.758290230.343074350.26516742
0.786051570.359871450.20838897
0.775248590.481601480.29494637
0.739382980.273661020.11151858
0.741161110.426451920.63537604
0.796632710.389020860.48239478
0.728452270.294141830.23345561
0.82578230.564036790.50730181
0.892444550.509490430.56706613
0.752881650.431726780.63043272
0.598307370.274031580.43965027
0.562580110.39871630.44396704
0.592600940.53898650.705347
0.873367430.621500850.77212
0.903097090.634447520.77734613
0.883863390.596849260.47200164
0.544321890.42083320.45745891
0.507230220.572168830.66945785
0.836021130.648838040.58046073
0.702803190.564323130.078181602
0.670705970.509022650.14416148
0.642932240.635927320.60089999
0.70935380.627774830.54405195
0.695378480.640117050.34698319
0.698003710.497561810.41169482
0.848662080.573585390.19033876
0.911162790.718180540.32810819
0.861750420.691330370.54150629
0.753547070.678695020.58593601
0.82972330.712778930.71266598
0.890239780.577928720.50895804
0.908598540.436406970.43594778
0.923102740.561812760.56234437
0.94357890.628909170.43750417
0.853623150.400445580.49603504
0.904470440.639548060.50606859
0.926008280.684196650.43893054
0.845850880.439042690.3989225
0.864843790.189092760.26393032
0.939259890.149887010.21671213
0.785526280.325005890.26214421
0.683715220.342477290.2850301
0.74263120.570821050.48655266
0.846427980.546019430.56894547
0.884056930.660195590.5493539
0.911364320.711685780.79073811
0.865843120.688595830.64600044
0.890481530.527845980.58210361
0.81253660.547543050.73871833
0.715808570.237756790.84279162
0.853615520.603089390.89133286
0.851362230.561609390.57681662
0.677891140.637080370.56921589
0.397627650.736189190.2474696
0.659819720.668172180.10526869
0.910831450.511886480.24659513
0.931487440.44709420.38377777
0.890554670.208819360.47572565
0.698701260.373018650.090166554
0.804611440.366952690.044403531
0.78040820.178083970.023459693
0.804761350.350373920.43021262
0.725164180.617921770.58859187
0.564292370.776154640.84855896
0.735804020.573170240.52637327
0.679335060.232600110.37798151
0.776791210.513519050.36224297
0.885408940.240524980.66210145
0.615831430.34187210.49741372
0.821108760.427081440.50833631
0.721814270.499130960.40647244
0.706933740.392621340.19364187
0.840503450.627139030.3259311
0.841210720.323647290.36029729
0.902751330.144489630.35398254
0.918048680.26353920.6066075
0.890238520.537357990.72860897
0.806365850.566388190.41961735
0.653121350.442202660.40102634
0.847730880.374608780.2969884
0.952263830.279256080.1050135
0.801500860.38783020.3746888
0.758967040.175677940.44236824
0.741711320.159771830.061748479
0.608161570.33185220.041437946
0.738654550.424192790.21212447
0.799397110.479310660.24490708
0.824405430.45887360.1580127
0.636713390.421219410.22735786
0.743096650.389984790.35462192
0.653738620.2848810.42554221
0.82829690.790472570.64901447
0.974836350.938914360.97190738
0.897899690.851096870.94940233
0.564886450.304079710.54027396
0.641306220.349097580.48713094
0.579231140.31482580.62838447
0.632264020.579819080.43368581
0.591499270.651829360.20370369
0.787439640.516763630.49942878
0.829127130.459714140.64030838
0.815420210.378301950.54831082
0.755245860.418487160.62044907
0.712998090.347779780.56454307
0.766062260.231770830.3933275
0.877369820.468122010.54580587
0.899046360.408754770.79977179
0.815464320.366273730.68623018
0.71141040.254944260.15830758
0.686790530.282374530.28906327
0.50923270.382139380.2549375
0.798370660.321702930.29621631
0.856042620.394339320.38008291
0.809094790.182056260.30561259
0.833041130.372353760.25787595
0.858923490.552215160.53800428
0.692153280.395659030.36645409
0.650869610.114275470.41497225
0.661553030.248678340.52874827
0.737778370.521441340.62281305
0.822300490.409847410.54960203
0.662766280.245007810.74411744
0.295020670.142514650.64772534
0.611052040.33470190.43150681
0.690236030.311727320.51743656
0.629447040.610094010.26831838
0.568588550.203773070.24114652
0.619355020.0218639630.27030793
0.539068940.00853688180.22319241
0.860425290.42200050.20572053
0.85595620.37687510.18170615
0.814268350.115798490.25624543
0.680484350.301156730.39018407
0.713125350.160811170.83390999
0.737280850.164563060.42502514
0.818684160.385478880.17524958
0.857574110.426043540.43914258
0.897261320.520291860.74805093
0.706384840.394763620.61845356
0.76506770.397429290.54336286
0.476950530.460293230.1311118
0.514910280.623525440.47103295
0.727478560.744917810.5500263
0.869919780.513015810.56582069
0.864600480.413037270.57749575
0.77484310.205562830.66800207
0.672840480.309429290.66209519
0.509743870.383941140.32444698
0.569362940.296760920.19662833
0.714070440.267521140.14143962
0.810102940.282246770.30217445
0.749464570.128892880.3650184
0.365224450.247509360.29990578
0.477029030.299778460.23244458
0.616849660.563849510.4158327
0.692880090.547558840.44940507
0.689962740.520403680.36016056
0.728175880.42898360.55757189
0.631313150.36394790.70934737
0.618574020.50279790.57758039
0.599451960.619565130.36231202
0.711235640.543342230.2119692
0.900695260.595000450.4795804
0.897204580.534706060.16344021
0.827263950.12590140.41678256
0.942064520.465454430.7578159
0.866305230.633092050.80528659
0.407823920.558284760.48956037
0.593037840.315561260.29441294
0.62562340.580731030.58513886
0.779745820.381185290.63877594
0.828846990.268924710.23562308
pos1_x-seis_x
pos4_x-seis_x
pos5_x-seis_x
f (Hz)
coherence
Fig. 4 coherence in x when move along y arm (8-19-02 data)
pos1_3_transfer_phase
pos 1 - 3 go in x direction
seis x (measured 8/19/02)Note: assumed that DTT uses Hz, not omega.seis y
position123123123123
delta x (m) =0.22.74325.48640.22.74325.48640.22.74325.48640.22.74325.4864
freqomegaphase (deg)phase (deg)phase (deg)phase (rad)phase (rad)phase (rad)phase (deg)phase (deg)phase (deg)phase (rad)phase (rad)phase (rad)
00000000000000
0.06250.39269908170.24367984-0.0008295858-0.355737630.0085060311-0.000028958-0.0124175858-0.82012689-0.184749560.026046785-0.028627829-0.00644897620.0009092043
0.1250.7853981634142.22351140.17986-11.6574814.96453704654.893200204-0.4069228519-64.27494-29.58063337.921642-2.243618659-1.03255888131.3237150213
0.18751.1780972451154.56421-142.1282836.871045.3953087405-4.96121289241.2870420933167.12366-32.8647738.05761155.83371625-1.14719699350.281263701
0.251.5707963268152.38516-166.10425-152.492655.3192455464-5.7981321281-5.3229976552156.66637-25.173836-0.338348215.4686879673-0.8787326471-0.0118105806
0.31251.9634954085155.30162161.18076-21.5378785.42104920545.6262699057-0.75181377151.73643-3.7385683-12.8336185.2966005974-0.1305006523-0.4479777781
0.3752.3561944902172.11307147.25061-43.7661936.00787951445.1400159401-1.5277283378150.85678-18.533958-26.3689295.2658950199-0.6469571811-0.9204492625
0.43752.7488935719151.46179120.93527-21.7715895.28701385294.2214372866-0.7599718229150.6386-27.894567-36.5142755.2582791012-0.9737040751-1.2745886455
0.53.1415926536129.06448133.3965-12.7705854.50520024674.6564162713-0.4457775113139.75124-33.821148-24.3405284.8782385435-1.1805807788-0.8496447105
0.56253.5342917353126.0574146.91933-35.5043184.4002333535.1284520866-1.2393344956136.1169-39.370792-26.4560364.7513761452-1.374299899-0.9234898705
0.6253.926990817135.45256144.58862-43.6225554.72818630455.0470949598-1.5227144258134.58124-44.801781-43.1248254.6977714988-1.5638771784-1.5053403712
0.68754.3196898987127.04282140.51398-45.5822454.4346314.9048631922-1.5911205114126.30446-47.303253-44.0899894.4088573739-1.6511950235-1.5390309504
0.754.7123889804121.60206130.94322-57.0185974.24471264844.5707806443-1.990324505122.61058-54.961445-47.987114.2799166376-1.9185163538-1.675066136
0.81255.1050880621112.82668123.77972-58.9884643.93839410024.3207273224-2.059085835114.45919-66.545677-57.4402583.9953794493-2.3228823332-2.0050432506
0.8755.497787143896.497742117.8111-66.0145033.36840663734.1123831808-2.3043408628104.71281-77.643501-65.0623553.655166607-2.7102694705-2.2711046277
0.93755.890486225589.549561105.64575-79.2166443.12586936633.6877323565-2.765182520495.427773-87.442596-76.5563283.3310576734-3.0523224134-2.6723199737
16.283185307281.80286497.354744-88.1445012.85545862873.3983216505-3.0768235288.401535-93.493553-84.0088353.0857956991-3.2635406585-2.932461543
1.06256.675884388978.33643387.294449-97.7903442.73445736023.0471511075-3.413526958979.969307-101.54153-94.0351182.7914554154-3.544468052-3.2824448432
1.1257.068583470668.97194779.948143-106.978612.40757513332.7907166524-3.734257947471.203522-111.63505-104.170942.4854717958-3.8967983663-3.6362517758
1.18757.461282552363.28091474.958809-115.065772.20892060592.6165560408-4.016553085763.486858-116.88685-108.081322.2161094077-4.0801207696-3.7727497878
1.257.85398163458.76500366.537674-120.318052.05128557462.3226029758-4.199892244258.559341-124.78267-115.715422.0441066165-4.3557368819-4.0392301487
1.31258.246680715754.39632460.966656-126.647091.89878990962.1281377623-4.420817417152.027054-129.66599-120.178851.8160867848-4.5261969067-4.1950332475
1.3758.639379797450.9052256.256905-130.012951.77692739091.9637364385-4.538308095548.607155-132.22633-124.920381.6967097896-4.6155696327-4.3605438677
1.43759.032078879146.86724552.428257-136.635071.63597547321.8300914115-4.769463690444.983559-136.04422-135.76541.5702224276-4.7488391346-4.7391064806
1.59.424777960842.35223847.908665-138.578661.47837199741.672327889-4.8373077841.984955-138.81656-138.036251.4655514021-4.8456120566-4.8183740992
1.56259.817477042538.32871246.027077-141.577151.33792444491.6066480774-4.941974826238.376175-140.10136-139.86781.3395812161-4.890460037-4.882307255
1.62510.210176124236.41993343.567429-144.470981.27129548841.5207901654-5.042988549236.691128-144.71384-141.355151.2807619797-5.0514659624-4.9342255643
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1_6Hz
seis x (measured 8/19/02)seis y
position123position123pos 2- pos1pos 3- pos1
delta x (m) =0.22.74325.48640.22.74325.48642.54325.2864
freqomegaphase (deg)phase (deg)phase (deg)phase (deg)phase (deg)phase (deg)del Ph (deg)del Ph (deg)
0000000000
0.06250.39269908170.24367984-0.0008295858179.64426237179.17987311179.815250440.0260467850.63537733-179.153826325
0.1250.7853981634142.22351140.17986168.342519115.72506150.41936737.92164234.694307-77.803418
0.18751.1780972451154.56421-142.1282836.87104167.12366147.1352278.0576115-19.988433-159.0660485
0.251.5707963268152.38516-166.1042527.50735156.66637154.826164179.66165179-1.84020622.99528179
0.31251.9634954085155.30162161.18076158.462122151.73643176.2614317167.16638224.525001715.429952
0.3752.3561944902172.11307147.25061136.233807150.85678161.466042153.63107110.6092622.774291
0.43752.7488935719151.46179120.93527158.228411150.6386152.105433143.4857251.466833-7.152875
0.53.1415926536129.06448133.3965167.229415139.75124146.178852155.6594726.42761215.908232
0.56253.5342917353126.0574146.91933144.495682136.1169140.629208153.5439644.51230817.427064
0.6253.926990817135.45256144.58862136.377445134.58124135.198219136.8751750.6169792.293935
0.68754.3196898987127.04282140.51398134.417755126.30446132.696747135.9100116.3922879.605551
0.754.7123889804121.60206130.94322122.981403122.61058125.038555132.012892.4279759.40231
0.81255.1050880621112.82668123.77972121.011536114.45919113.454323122.559742-1.0048678.100552
0.8755.497787143896.497742117.8111113.985497104.71281102.356499114.937645-2.35631110.224835
0.93755.890486225589.549561105.64575100.78335695.42777392.557404103.443672-2.8703698.015899
16.283185307281.80286497.35474491.85549988.40153586.50644795.991165-1.8950887.58963
1.06256.675884388978.33643387.29444982.20965679.96930778.4584785.964882-1.5108375.995575
1.1257.068583470668.97194779.94814373.0213971.20352268.3649575.82906-2.8385724.625538
1.18757.461282552363.28091474.95880964.9342363.48685863.1131571.91868-0.3737088.431822
1.257.85398163458.76500366.53767459.6819558.55934155.2173364.28458-3.3420115.725239
1.31258.246680715754.39632460.96665653.3529152.02705450.3340159.82115-1.6930447.794096
1.3758.639379797450.9052256.25690549.9870548.60715547.7736755.07962-0.8334856.472465
1.43759.032078879146.86724552.42825743.3649344.98355943.9557844.2346-1.027779-0.748959
1.59.424777960842.35223847.90866541.4213441.98495541.1834441.96375-0.801515-0.021205
1.56259.817477042538.32871246.02707738.4228538.37617539.8986440.13221.5224651.756025
1.62510.210176124236.41993343.56742935.5290236.69112835.2861638.64485-1.4049681.953722
1.687510.602875205934.77495240.81965634.3379135.91203733.5939932.36272-2.318047-3.549317
1.7510.995574287632.91271237.5692133.5604635.31676933.0448229.36087-2.271949-5.955899
1.812511.388273369331.60191935.59705727.7946632.89513830.1903529.32114-2.704788-3.573998
1.87511.78097245131.27853233.78541226.6080631.18433428.010325.49054-3.174034-5.693794
1.937512.173671532730.84740430.76686526.6691930.54301527.3837927.06316-3.159225-3.479855
212.566370614430.816731.20701626.0856527.89305727.0756125.12065-0.817447-2.772407
2.062512.959069696127.9061730.34282323.836527.36699925.2936724.79967-2.073329-2.567329
2.12513.351768777825.74337428.50408223.4812927.25904522.8360921.16972-4.422955-6.089325
2.187513.744467859524.35472924.84104220.2372626.37563920.8673620.72061-5.508279-5.655029
2.2514.137166941222.10046426.89112516.9951624.88900419.8816521.65686-5.007354-3.232144
2.312514.529866022920.61457827.82413714.8406424.01735918.6327820.36462-5.384579-3.652739
2.37514.922565104621.43866924.6880817.3305122.82309517.5252218.05353-5.297875-4.769565
2.437515.315264186322.43986723.19854720.5639223.07722919.4640421.13544-3.613189-1.941789
2.515.707963267922.80883621.02306719.256522.96303722.8842622.64371-0.078777-0.319327
2.562516.100662349622.28213920.79560119.5633120.16117117.7016820.47243-2.4594910.311259
2.62516.493361431320.00279223.4341617.7724519.68484117.2336916.24219-2.451151-3.442651
2.687516.88606051318.57589722.70853216.8737820.25455114.0076415.96724-6.246911-4.287311
2.7517.278759594719.73671521.69794817.2068319.1221615.3191516.74417-3.80301-2.37799
2.812517.671458676421.85973720.54031418.1727419.30740913.6509719.58237-5.6564390.274961
2.87518.064157758119.26321619.85511419.9458918.93956412.8494319.21301-6.0901340.273446
2.937518.456856839818.13077920.43762814.4888317.36970111.2882517.26959-6.081451-0.100111
318.849555921518.61785520.04279311.398321.04707712.468610.12041-8.578477-10.926667
3.062519.242255003218.75324219.40485612.885622.01123815.49510.85953-6.516238-11.151708
3.12519.634954084915.68772117.11748517.0235919.37456515.7536212.66687-3.620945-6.707695
3.187520.027653166615.39170616.80382314.820417.352397.325876.67195-10.02652-10.68044
3.2520.420352248316.81623617.22587210.1309817.9847475.64094.05681-12.343847-13.927937
3.312520.8130513316.60631417.7027919.4018920.30058112.855552.56908-7.445031-17.731501
3.37521.205750411718.504718.12555511.0038319.40196415.516789.99481-3.885184-9.407154
3.437521.598449493417.31274420.5986187.3392818.19811115.1227322.78969-3.0753814.591579
3.521.991148575116.08704217.6566334.0304917.91336311.055040.6987-6.858323-17.214663
3.562522.383847656817.6411311.7709246.8359415.1954077.543965.56873-7.651447-9.626677
3.62522.776546738517.02968419.60717812.8635715.70874713.459124.11534-2.249627-11.593407
3.687523.169245820214.68166221.0977124.7003814.37603412.1370811.18637-2.238954-3.189664
3.7523.561944901911.40450513.5248176.7573514.0818649.629942.08359-4.451924-11.998274
3.812523.954643983612.88322317.9100041.7379515.69699811.650623.25204-4.046378-12.444958
3.87524.347343065314.37812619.01756912.2900117.59458713.366555.15205-4.228037-12.442537
3.937524.74004214713.56790320.07646411.4108317.53176515.896388.54793-1.635385-8.983835
425.132741228713.72992515.40043610.816814.4003678.49679.08026-5.903667-5.320107
4.062525.52544031048.908567411.81047410.0272212.5178467.815665.59779-4.702186-6.920056
4.12525.91813939215.688006413.3605111.1473514.79355111.735264.46426-3.058291-10.329291
4.187526.310838473811.12618416.35967315.6590915.7569887.317264.98386-8.439728-10.773128
4.2526.703537555516.62998219.36765515.8287813.24308411.476274.64285-1.766814-8.600234
4.312527.096236637212.23289414.09713410.5109612.99911514.820250.887821.821135-12.111295
4.37527.488935718917.0622512.1604772.8924316.52255415.112723.90279-1.409834-12.619764
4.437527.881634800613.51068715.1978584.4015715.55743910.088886.42897-5.468559-9.128469
4.528.274333882318.77863712.7878055.781213.40740910.4641914.19218-2.9432190.784771
4.562528.66703296418.97963715.0737157.9116512.42718811.6059411.83974-0.821248-0.587448
4.62529.059732045711.84206916.9929036.8090413.82554613.00313.21033-0.822446-10.615216
4.687529.452431127412.04767120.8004785.5841214.34911314.31451159.93202-0.034603145.582907
4.7529.845130209113.78814726.1612618.5772115.02800617.32167176.717972.293664161.689964
4.812530.237829290816.11722810.9378053.051517.02139716.429698.78123-0.591707-8.240167
4.87530.630528372518.2488359.7039328172.8358312.89183211.1765612.21722-1.715272-0.674612
4.937531.023227454215.22635813.692563177.3880215.12454514.8739810.41771-0.250565-4.706835
531.415926535915.38337411.134104176.0126811.30509413.5992914.412672.2941963.107576
5.062531.808625617613.45849419.1000730.5565510.5274439.906237.97514-0.621213-2.552303
5.12532.201324699315.27345833.9077811.6692212.6891569.790314.76474-2.898846-7.924416
5.187532.59402378115.44597120.90532917.6679113.0049055.1587215.23192-7.8461852.227015
5.2532.986722862713.04678721.2432517.4286511.8324385.678568.44228-6.153878-3.390158
5.312533.379421944417.22662416.1066044.0981311.9022937.1494811.70721-4.752813-0.195083
5.37533.772121026117.42235615.0806827.8459313.86925210.7968413.92348-3.0724120.054228
5.437534.164820107820.13597320.78298812.003313.78225912.631397.93588-1.150869-5.846379
5.534.557519189518.47439417.583014.038712.86074814.227428.462841.366672-4.397908
5.562534.950218271210.4371939.55336289.6698814.53534615.561959.838041.026604-4.697306
5.62535.34291735297.69739724.5326071174.2135213.51909818.6083218.183615.0892224.664512
5.687535.735616434620.93192914.704633170.2710112.46791717.511146.082285.043223-6.385637
5.7536.128315516316.2045815.23206921.6353612.41067110.421084.61531-1.989591-7.795361
5.812536.52101459821.1504596.12817110.5990114.5954815.370855.565750.77537-9.02973
5.87536.913713679716.35554118.894615179.18911.00045218.30856.782997.308048-4.217462
5.937537.30641276149.449692710.9969159.526739.39960589.2771930.02409-0.122415820.6244842
637.69911184316.8480127.619360919.9841911.613969.2803321.01117-2.333639.39721
6.062538.09181092488.044190413.13226911.5523717.49511913.2986921.00696-4.1964293.511841
6.12538.48451000658.41256143.285506513.9288611.28289620.1909817.240698.9080845.957794
6.187538.877209088215.6459017.132638915.481898.603887616.7957918.631368.191902410.0274724
6.2539.269908169914.62777113.091724174.3234113.7424515.0638723.89059-8.67858110.148139
6.312539.662607251612.74290611.356339162.1215512.2571328.843129.99774-3.414012-2.259392
6.37540.055306333315.2161942.7152138161.969018.550986316.944219.08538.39322370.5343137
6.437540.4480054154.48217490.0519164588.606526.995527717.352393.3022910.3568623-3.6932377
6.540.840704496716.943796-11.138526179.3968513.27742412.5351711.49744-0.742254-1.779984
6.562541.233403578421.03838-1.24889683.0661919.51356317.3782223.15067-2.1353433.637107
6.62541.626102660117.98441310.19213720.3564113.85638111.5120825.29337-2.34430111.436989
6.687542.018801741816.1870918.30031232.313545.36930668.7113211.321273.34201345.9519634
6.7542.411500823520.85002726.99326725.1931516.0184250.6513810.65771-15.367045-5.360715
6.812542.804199905219.26509721.2315397.8704214.0438592.8675526.39951-11.17630912.355651
6.87543.196898986913.59108112.9798371.7782910.92082819.1446717.831998.2238426.911162
6.937543.589598068612.10873213.28010211.6125812.1235224.6758318.2476512.552316.12413
743.982297150320.35332314.42269710.2184917.9781066.9770518.05452-11.0010560.076414
7.062544.37499623219.4602418.3374825178.3476616.10918411.1764813.42574-4.932704-2.683444
7.12544.767695313714.71106521.365599172.9796315.84194215.5898111.01764-0.252132-4.824302
7.187545.160394395413.01799119.76535811.0008913.81665613.0629123.44461-0.7537469.627954
7.2545.553093477111.2374067.16410545.8054711.06482811.7163517.219020.6515226.154192
7.312545.945792558820.4550712.5914271.1610412.2083979.8353312.78079-2.3730670.572393
7.37546.338491640423.035627.1069345170.9826814.0667689.572364.73053-4.494408-9.336238
7.437546.731190722120.395365-4.8374128167.302737.574857720.015984.3421912.4411223-3.2326677
7.547.123889803818.0058120.35868192173.935495.7231565167.78456178.48323162.0614035172.7600735
7.562547.516588885510.85237716.85539664.7135910.3944449.00545172.16704-1.388994161.772596
7.62547.909287967213.04453120.35686923.359444.85256778.0995613.324623.24699238.4720523
7.687548.30198704899.11604418.6594854.396448.752825712.5445325.321093.791704316.5682643
7.7548.69468613062.191374516.082542169.694329.875563617.0029420.590167.127376410.7145964
7.812549.08738521236.99874516.985819175.961712.25482419.3414224.724437.08659612.469606
7.87549.48008429412.34402216.8390859.7233319.50428212.6513118.87221-6.852972-0.632072
7.937549.87278337576.403538713.78158713.9766116.44059.0193512.08615-7.42115-4.35435
850.265482457411.45312911.09215213.8903821.2035276.63954175.68762-14.563987154.484093
8.062550.658181539119.10794111.08328922.7189317.4818081.490318.66931-15.991498-8.812498
8.12551.050880620815.95021713.07418625.9771112.78167212.2264623.47102-0.55521210.689348
8.187551.443579702515.62706614.51422627.4376113.2003779.8958713.0013-3.304507-0.199077
8.2551.836278784215.05908120.54619219.210367.834932310.41786.822682.5828677-1.0122523
8.312552.22897786598.113268912.40184936.3987912.14241316.59981179.984824.457397167.842407
8.37552.621676947614.59523910.31659852.9716215.57827424.7354420.015559.1571664.437276
8.437553.014376029313.035515.66644129.0249816.64621716.296459.24409-0.349767-7.402127
8.553.40707511111.63744318.82950624.6061222.783482.7545320.08493-20.02895-2.69855
8.562553.7997741927-1.089742312.7533848.6194821.146194177.8816110.34085156.735416-10.805344
8.62554.19247327442.441737710.67228828.5039817.9782019.7498214.39673-8.228381-3.581471
8.687554.58517235615.0504804-16.56361610.0132911.16866524.0644529.1872912.89578518.018625
8.7554.97787143780.52779514-13.0512055.7034613.73254345.5920311.7223231.859487-2.010223
8.812555.3705705195-19.5979691.668795912.4126137.15366452.6324633.8175815.478796-3.336084
8.87555.7632696012-27.510098-3.154816614.7312217.93881218.01512161.826520.076308143.887708
8.937556.1559686829-9.1135006-1.0582305147.0833613.710949159.44284173.50844145.731891159.797491
956.548667764613.9164343.5880163150.4275518.583885170.6012628.24855152.0173759.664665
9.062556.941366846314.02846519.005774169.826817.119174527.1532426.5159920.034065519.3968155
9.12557.3340659288.762843126.99964173.56731177.667917524.8958712.62007-152.7720475-165.0478475
9.187557.72676500979.124269511.223206170.453918.2070016.22831.34326-11.97900113.136259
9.2558.119464091413.3723985.17947533.0417830.26677128.35271171.18791-1.914061140.921139
9.312558.512163173117.88942719.196644167.0640719.26037434.075710.96314.815336-18.297374
9.37558.904862254814.8249528.89029797.6210921.15155651.857963.2624730.706404-17.889086
9.437559.297561336519.80325719.364548178.3752713.58319814.0569914.52040.4737920.937202
9.559.69026041821.067447722.081396140.5811810.08023329.2074357.1361219.12719747.055887
9.562560.0829594999-0.9308167724.55304578.9241336.804348530.687848.6140723.88349151.8097215
9.62560.4756585816-2.058152424.318623123.4801921.93345513.17513162.92368-8.758325140.990225
9.687560.86835766334.482820515.242931120.5426320.5654411.71069176.99031-18.854751156.424869
9.7561.26105674522.3868621.584967141.907277.94038399.840885.025711.9004961-2.9146739
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