		Regime		Irregular High-frequency Oscillating, bi-stable with chaos													
		Remarks		Data corresponds to Fig.22a in the article



		Data point in Ga, Density Ratio regime map
		------------------------------------------																
		Density Ratio	0.872083525													
		Ga		307.2382259													
			


		Material Properties and Operating Conditions
		--------------------------------------------													
		Sno	Material	d (m)		Volume (m3)	Mass (kg)	Sphere Density (kg/m3)	Water Density (kg/m3)	Density ratio	Water Temperature (oC)	Kinematic viscosity  (m2/s)	Ga				
		1	Polypropylene	0.0040191	3.39926E-08	0.00002957	869.8945957		997.49			0.872083525	23.2			9.29E-07			307.2382259				
																
													
																
		Physical Parameters	
		-------------------													
		Cd				0.53462901													
		Re_avg				485.1972788													
		vx_avg (m/s)			0.001398729													
		vy_avg (m/s)			-0.112151544													
		vz_avg (m/s)			-0.003800907													
		Angle_avg (o)			2.847124673													
		v_gravitational (vg) (m/s)	0.071016972													
		f_gravitational (Hz)		17.66986936													
								

								
		Camera Acquisition and Signal Processing
		----------------------------------------														
		Frame Rate (Hz)			49.977													
		Filter Length			19													
														
																
		Raw Position Data (mm)					Filtered Position Data  (normalized by diameter)	Filtered normalized Position Data about origin 		Filtered Velocity Data (normalized by v_gravitational)	
		--------------------------------------------		------------------------------------------------	----------------------------------------------		------------------------------------------------------	
		x		y		z			x/dp		y/dp		z/dp			x/dp		y/dp		z/dp			vx/vg		vy/vg		vz/vg
		34.70297236	299.2885974	-7.941948025		8.208592608	61.66254299	-2.204042547		0		0		0			-0.043121478	-1.55977181	-0.035340036
		34.70672838	297.0624694	-7.989588246		8.195603077	61.11128029	-2.216752276		-0.012989531	0.551262707	-0.012709729		-0.038747279	-1.559022692	-0.043454854
		34.73843945	294.8278184	-8.034122145		8.183818822	60.56026947	-2.232625849		-0.024773786	1.102273529	-0.028583302		-0.033530377	-1.558485221	-0.049946671
		34.74938938	292.5988602	-8.091494295		8.172846068	60.00964238	-2.251033004		-0.03574654	1.652900614	-0.046990457		-0.028442819	-1.557574599	-0.055552685
		34.77813825	290.3567258	-8.162766357		8.162799633	59.45885115	-2.271228726		-0.045792975	2.203691841	-0.067186179		-0.024318466	-1.557135789	-0.059876597
		34.73379973	288.1129451	-8.205893608		8.153093028	58.90833808	-2.293217028		-0.05549958	2.754204918	-0.089174481		-0.022082009	-1.557161346	-0.064161345
		34.69213321	285.8577224	-8.261915811		8.143510759	58.35746171	-2.316664049		-0.065081849	3.305081281	-0.112621502		-0.022909814	-1.557494295	-0.068212897
		34.60130591	283.613785	-8.329906627		8.132903906	57.80666272	-2.341720837		-0.075688702	3.855880274	-0.13767829		-0.026965414	-1.558595845	-0.071808946
		34.50812908	281.354969	-8.399390154		8.121333855	57.25532736	-2.368038382		-0.087258753	4.407215631	-0.163995834		-0.032954294	-1.559830862	-0.075464184
		34.37740198	279.111974	-8.484118556		8.107529546	56.70360618	-2.39544258		-0.101063062	4.958936816	-0.191400033		-0.040717996	-1.561583691	-0.078616249
		34.23137616	276.8542553	-8.559693283		8.091578026	56.15096167	-2.423721835		-0.117014582	5.511581323	-0.219679288		-0.048941523	-1.563101181	-0.082453501
		34.06992109	274.6162149	-8.635755798		8.073686853	55.59790277	-2.453312317		-0.134905756	6.064640219	-0.24926977		-0.055994529	-1.565079629	-0.086434101
		33.92888273	272.3662238	-8.674969452		8.054358984	55.04393362	-2.484146675		-0.154233624	6.618609375	-0.280104128		-0.060766448	-1.567034592	-0.090727782
		33.7795812	270.1231155	-8.732773905		8.034153019	54.48935583	-2.516101014		-0.174439589	7.173187163	-0.312058467		-0.061389624	-1.569770169	-0.094427584
		33.64809312	267.8813403	-8.754956353		8.015018532	53.93408863	-2.55034012		-0.193574076	7.728454365	-0.346297572		-0.057897983	-1.571612419	-0.099312621
		33.55258871	265.637091	-8.78056534		7.997500509	53.37815494	-2.587102959		-0.211092099	8.284388054	-0.383060412		-0.049890986	-1.573616736	-0.105285573
		33.46905729	263.394371	-8.766270281		7.983091697	52.82197888	-2.626912308		-0.225500911	8.840564113	-0.422869761		-0.039017329	-1.574448502	-0.113267524
		33.40307003	261.1602353	-8.748546076		7.972779272	52.26554268	-2.669966782		-0.235813336	9.397000315	-0.465924234		-0.024161099	-1.574544861	-0.123538095
		33.3368704	258.9406172	-8.728339381		7.967358575	51.70935768	-2.717127126		-0.241234033	9.953185315	-0.513084579		-0.009002903	-1.57333489	-0.136030202
		33.28411947	256.70701	-8.724094544		7.966482611	51.15364773	-2.768902478		-0.242109997	10.50889527	-0.564859931		0.005702908	-1.571799278	-0.149539986
		33.21178311	254.4958184	-8.743701286		7.96957896	50.59868021	-2.824963668		-0.239013648	11.06386278	-0.620921121		0.01803212	-1.569490675	-0.163171133
		33.13670523	252.2630495	-8.76177112		7.97593101	50.04426055	-2.88415792		-0.232661598	11.61828244	-0.680115373		0.027120443	-1.567513012	-0.174621249
		33.05305915	250.0479302	-8.801609788		7.984079643	49.49014081	-2.946131939		-0.224512965	12.17240218	-0.742089392		0.030997159	-1.565157432	-0.183960593
		32.98077022	247.8158752	-8.834860642		7.99273103	48.9367185	-3.010425947		-0.215861578	12.72582449	-0.8063834		0.030094846	-1.563304353	-0.189385102
		32.91308559	245.6138609	-8.902287084		8.00037822	48.38393951	-3.075932338		-0.208214388	13.27860348	-0.87188979		0.024470264	-1.561424351	-0.191215088
		32.85893091	243.3934412	-8.971796268		8.006078042	47.83163707	-3.141093172		-0.202514566	13.83090592	-0.937050625		0.015548289	-1.560369311	-0.188245147
		32.80068183	241.1950196	-9.058453942		8.009159074	47.27996031	-3.205165357		-0.199433534	14.38258269	-1.00112281		0.003806809	-1.55952458	-0.181570856
		32.784664	238.9678347	-9.144327805		8.008475246	46.72851229	-3.267056504		-0.200117362	14.93403071	-1.063013957		-0.007848698	-1.559302942	-0.172227462
		32.75115268	236.7614362	-9.234040702		8.005244148	46.17751525	-3.327094963		-0.20334846	15.48502774	-1.123052416		-0.017384165	-1.559078971	-0.162029985
		32.74594044	234.5417052	-9.318782521		8.000139645	45.62665447	-3.384513459		-0.208452963	16.03588853	-1.180470912		-0.023224551	-1.559008472	-0.152255276
		32.70237993	232.3268438	-9.403898205		7.993778587	45.07579037	-3.438513915		-0.214814021	16.58675262	-1.234471367		-0.024679311	-1.558731275	-0.143477243
		32.68994625	230.1100172	-9.507580859		7.988140984	44.52512089	-3.489864797		-0.220451624	17.13742211	-1.285822249		-0.020690459	-1.55791928	-0.137727486
		32.63335577	227.9037769	-9.629603439		7.984608736	43.97466071	-3.53942088		-0.223983872	17.68788229	-1.335378333		-0.011708908	-1.557414814	-0.133290181
		32.56603823	225.6835389	-9.74480662		7.984178436	43.42386359	-3.586761291		-0.224414172	18.2386794	-1.382718744		0.001589331	-1.556772675	-0.13032618
		32.48211472	223.4655851	-9.866787279		7.987984696	42.87339545	-3.632304205		-0.220607912	18.78914754	-1.428261657		0.017455333	-1.556692692	-0.12743251
		32.39821436	221.2252848	-9.986328653		7.996694728	42.32252461	-3.675698221		-0.21189788	19.34001838	-1.471655674		0.032844437	-1.557099169	-0.123322257
		32.29822386	219.0053196	-10.13363313		8.009615698	41.7715331	-3.716866161		-0.19897691	19.89100989	-1.512823614		0.047208143	-1.55844002	-0.116591986
		32.20235883	216.7687658	-10.26512383		8.026461109	41.22000475	-3.75500371		-0.182131499	20.44253825	-1.550961163		0.058186168	-1.560215057	-0.106780533
		32.11394851	214.5394148	-10.41077033		8.04610322	40.66770835	-3.788536543		-0.162489388	20.99483465	-1.584493996		0.064824115	-1.563105203	-0.093104323
		32.05647644	212.3017445	-10.56158972		8.067133643	40.11437293	-3.816628199		-0.141458965	21.54817006	-1.612585652		0.065966508	-1.565901607	-0.07694974
		31.98452035	210.0632772	-10.71849799		8.088104211	39.56004294	-3.838888573		-0.120488397	22.10250006	-1.634846025		0.062850274	-1.569143936	-0.057427109
		31.96495174	207.8243643	-10.90236481		8.107963534	39.00497175	-3.855220838		-0.100629075	22.65757124	-1.651178291		0.055405088	-1.571985648	-0.037327486
		31.96676681	205.5860012	-11.09097801		8.125286953	38.44878562	-3.864922142		-0.083305655	23.21375738	-1.660879594		0.04514397	-1.575111392	-0.017178777
		31.987865	203.3470768	-11.2975832		8.139308663	37.89182911	-3.868404646		-0.069283945	23.77071388	-1.664362099		0.03312513	-1.57713894	-0.000299132
		32.03382658	201.1157483	-11.52752064		8.150120589	37.3340773	-3.867827918		-0.058472019	24.32846569	-1.663785371		0.022406282	-1.579151559	0.011726605
		32.09045593	198.9006072	-11.81611501		8.157050816	36.77568453	-3.86452778		-0.051541792	24.88685846	-1.660485233		0.012592682	-1.580138268	0.017727969
		32.13964149	196.6688884	-12.08490543		8.161856496	36.21687129	-3.861161022		-0.046736112	25.4456717	-1.657118475		0.005604228	-1.581048129	0.017176399
		32.1932961	194.4664854	-12.37577373		8.164669515	35.65795487	-3.859212629		-0.043923093	26.00458812	-1.655170081		0.002072795	-1.580895678	0.009239686
		32.25036536	192.2433435	-12.65810538		8.166819815	35.0990888	-3.86059808		-0.041772793	26.56345419	-1.656555533		0.002956442	-1.580406304	-0.005491899
		32.24900126	190.0363565	-12.93867423		8.16980831	34.54052964	-3.867973941		-0.038784298	27.12201336	-1.663931394		0.006835055	-1.579745022	-0.024770635
		32.24931974	187.8126682	-13.18879806		8.174016642	33.9824954	-3.881147053		-0.034575966	27.6800476	-1.677104506		0.013027198	-1.578180647	-0.046281011
		32.22175822	185.6002732	-13.41252005		8.180076349	33.42488082	-3.901043919		-0.028516259	28.23766218	-1.697001372		0.020483878	-1.576539772	-0.068104518
		32.18570605	183.3702416	-13.61001049		8.188073373	32.86783192	-3.926687953		-0.020519235	28.79471107	-1.722645405		0.027814691	-1.575149401	-0.086684253
		32.12508907	181.1597186	-13.8302579		8.19847025	32.31108683	-3.95770734		-0.010122358	29.35145616	-1.753664793		0.035058264	-1.573818418	-0.10093238
		32.08729234	178.94511	-14.01759307		8.210945338	31.7545942	-3.991798693		0.00235273	29.9079488	-1.787756145		0.040552759	-1.573139296	-0.107709161
		32.04646936	176.7354323	-14.20075176		8.224740458	31.19813821	-4.026712087		0.01614785	30.46440478	-1.822669539		0.043781396	-1.573067213	-0.106286177
		32.03349337	174.5150382	-14.36284318		8.239250298	30.64156499	-4.059843787		0.03065769	31.020978	-1.85580124		0.044498778	-1.573171292	-0.097271848
		32.03258778	172.3116036	-14.55684913		8.253604147	30.08488949	-4.089117632		0.045011538	31.5776535	-1.885075085		0.042875394	-1.574123768	-0.080628018
		32.07268698	170.0926291	-14.74169157		8.267601716	29.52800125	-4.112595453		0.059009108	32.13454174	-1.908552906		0.039053396	-1.575226456	-0.059192355
		32.15143486	167.8893369	-14.93697606		8.280427611	28.97074656	-4.128923957		0.071835003	32.69179643	-1.924881409		0.034112051	-1.577181501	-0.033956156
		32.23027921	165.6687638	-15.0919457		8.291492579	28.41295324	-4.136359654		0.082899971	33.24958975	-1.932317106		0.028485292	-1.578715319	-0.008450446
		32.32231485	163.4547486	-15.2348745		8.301251303	27.85469477	-4.136205219		0.092658695	33.80784823	-1.932162671		0.023780786	-1.580967746	0.014951674
		32.44530123	161.2368739	-15.38858226		8.309778085	27.29558612	-4.129568912		0.101185477	34.36695688	-1.925526365		0.01960953	-1.582639978	0.033832868
		32.54523169	159.00181	-15.48145397		8.316965747	26.73577187	-4.117553208		0.108373139	34.92677112	-1.91351066		0.018363268	-1.584547962	0.046262138
		32.6352532	156.7699658	-15.55160353		8.324289729	26.17531239	-4.103170845		0.115697121	35.4872306	-1.899128297		0.018425108	-1.585721653	0.050790885
		32.70842257	154.5379533	-15.59216216		8.332104902	25.61431273	-4.08858219		0.123512294	36.04823026	-1.884539643		0.021144599	-1.587202317	0.047213762
		32.75701716	152.2910553	-15.60048217		8.340927801	25.05295207	-4.076331435		0.132335193	36.60959092	-1.872288888		0.024881612	-1.587873257	0.036145758
		32.79680409	150.0509874	-15.58966303		8.351295582	24.49133874	-4.06863173		0.142702974	37.17120425	-1.864589182		0.030282021	-1.58848317	0.019124124
		32.81111146	147.8042104	-15.5551104		8.363171646	23.92992552	-4.067055039		0.154579038	37.73261747	-1.863012492		0.036469698	-1.588981494	-0.003141888
		32.81512919	145.5510932	-15.50205287		8.377056093	23.36819776	-4.072640789		0.168463485	38.29434524	-1.868598242		0.043032228	-1.589177631	-0.026521157
		32.80857027	143.3128948	-15.47690796		8.392373122	22.80665365	-4.084918933		0.183780514	38.85588934	-1.880876386		0.048540131	-1.58900001	-0.048942617
		32.81471255	141.0633411	-15.4500169		8.410035346	22.24468469	-4.104168706		0.201442738	39.41785831	-1.900126159		0.05282964	-1.589297839	-0.067200955
		32.80875046	138.8256341	-15.47171923		8.428656138	21.68259305	-4.127498381		0.22006353	39.97994995	-1.923455834		0.055483067	-1.589327547	-0.079566172
		32.81502382	136.5696374	-15.49230209		8.447756993	21.12023529	-4.152973657		0.239164385	40.5423077	-1.94893111		0.056155213	-1.589612114	-0.083521707
		32.83581945	134.3399836	-15.5895565		8.46657646	20.55810461	-4.177953966		0.257983852	41.10443839	-1.973911419		0.054500658	-1.589651259	-0.078247401
		32.88305312	132.0854126	-15.71724653		8.484748246	19.99594126	-4.200030433		0.276155638	41.66660173	-1.995987886		0.051202278	-1.589547498	-0.064707174
		32.906109	129.8552451	-15.85767985		8.501415788	19.43413052	-4.216656372		0.29282318	42.22841247	-2.012613825		0.045883236	-1.589356445	-0.043297607
		32.99495141	127.6131588	-16.03125861		8.516305618	18.87252073	-4.226013037		0.30771301	42.79002226	-2.02197049		0.039741952	-1.588691334	-0.017924522
		33.0542872	125.390285	-16.20059996		8.528908683	18.3112795	-4.227216982		0.320316075	43.35126349	-2.023174434		0.033312273	-1.588245374	0.008735287
		33.13504379	123.149982	-16.3640308		8.539745693	17.75009083	-4.220981672		0.331153085	43.91245216	-2.016939125		0.026920809	-1.587381204	0.033708547
		33.19430186	120.9208867	-16.50789857		8.548914532	17.18901923	-4.208728928		0.340321924	44.47352376	-2.004686381		0.022399378	-1.586808194	0.052756181
		33.24740977	118.6919405	-16.59930077		8.557161713	16.62792961	-4.191704342		0.348569105	45.03461339	-1.987661794		0.019446068	-1.586033314	0.063988894
		33.29988463	116.4412987	-16.68247067		8.564980013	16.06693798	-4.172442148		0.356387405	45.59560502	-1.968399601		0.018920849	-1.585692471	0.066916438
		33.34430142	114.1992114	-16.6997998		8.573017552	15.50617745	-4.153551077		0.364424944	46.15636554	-1.94950853		0.020237274	-1.584775533	0.060107441
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		33.41204726	109.6997458	-16.64040146		8.591243697	14.38565865	-4.126442718		0.382651089	47.27688434	-1.922400171		0.028642088	-1.583879604	0.023887718
		33.43140346	107.451258	-16.57496789		8.602987818	13.82583862	-4.123020088		0.39439521	47.83670438	-1.918977541		0.035371243	-1.583838661	-0.001501255
		33.45279317	105.2027394	-16.49384301		8.616255815	13.26629048	-4.126930434		0.407663207	48.39625252	-1.922887887		0.041530871	-1.583558435	-0.027668558
		33.47490402	102.946099	-16.40543359		8.63208857	12.70650799	-4.139310007		0.423495962	48.956035	-1.93526746		0.048698026	-1.584067009	-0.052271451
		33.50696757	100.6963214	-16.33791467		8.649729003	12.14652221	-4.15918201		0.441136395	49.51602079	-1.955139463		0.053130543	-1.583760158	-0.071818971
		33.54045029	98.43322536	-16.26889584		8.668295061	11.58645893	-4.184336099		0.459702453	50.07608407	-1.980293552		0.055752655	-1.583937533	-0.085144148
		33.58217223	96.18287011	-16.24563047		8.68703809	11.02621189	-4.213265335		0.478445482	50.6363311	-2.009222787		0.055465881	-1.58384905	-0.091796004
		33.65215888	93.91340805	-16.27896222		8.705113442	10.46574427	-4.243171297		0.496520834	51.19679872	-2.03912875		0.052334035	-1.584632104	-0.090771214
		33.70814705	91.6591026	-16.33529963		8.721921352	9.905231433	-4.272879576		0.513328744	51.75731156	-2.068837029		0.04631525	-1.585134384	-0.084093422
		33.79357031	89.39432298	-16.421736		8.736013747	9.34461297	-4.299014257		0.527421139	52.31793002	-2.09497171		0.038053362	-1.586080313	-0.072223397
		33.87080336	87.14348415	-16.55392543		8.747200098	8.783678633	-4.32155693		0.53860749	52.87886436	-2.117514383		0.027922045	-1.587400098	-0.057688248
		33.96031268	84.87882375	-16.68035013		8.754613305	8.222359599	-4.338721399		0.546020697	53.4401834	-2.134678852		0.016861176	-1.588675532	-0.04174148
		34.0295941	82.63391261	-16.8170609		8.758737583	7.660697954	-4.351796312		0.550144975	54.00184504	-2.147753764		0.005930159	-1.58989191	-0.027339121
		34.11887494	80.37039632	-16.9421944		8.759678222	7.098292076	-4.360734397		0.551085614	54.56425092	-2.15669185		-0.004413962	-1.591047193	-0.014780912
		34.18218412	78.11818585	-17.0452808		8.757360357	6.535573944	-4.366144886		0.548767749	55.12696905	-2.162102339		-0.013302562	-1.591894546	-0.006933516
		34.25047095	75.8529091	-17.08720937		8.752587514	5.972413555	-4.370766506		0.543994906	55.69012944	-2.166723958		-0.020010701	-1.592472039	-0.006006715
		34.29531029	73.59575135	-17.10296318		8.745612226	5.40931917	-4.37682453		0.537019618	56.25322382	-2.172781983		-0.024126255	-1.592992842	-0.011818343
		34.35972019	71.32141186	-17.07647434		8.737707235	4.845940947	-4.385820787		0.529114627	56.81660205	-2.18177824		-0.025191606	-1.593036006	-0.024405062
		34.37708785	69.07714013	-16.98308792		8.729298057	4.283167629	-4.39919548		0.520705449	57.37937537	-2.195152933		-0.023608899	-1.592680482	-0.041623213
		34.40232931	66.81895011	-16.87233777		8.722179913	3.720487206	-4.419235855		0.513587305	57.94205579	-2.215193308		-0.020307801	-1.591684534	-0.062144787
		34.42131522	64.57917477	-16.75367546		8.715634035	3.158222845	-4.445353596		0.507041427	58.50432015	-2.241311048		-0.015250515	-1.590674752	-0.083999321
		34.44862887	62.32356884	-16.64306057		8.711493387	2.596208954	-4.478158715		0.502900779	59.06633404	-2.274116167		-0.010494452	-1.588797889	-0.103510568
		34.46243979	60.07813919	-16.53612006		8.70856792	2.034494354	-4.515613082		0.499975312	59.62804864	-2.311570535		-0.004635817	-1.587862999	-0.118582238
		34.50286842	57.82585102	-16.48875895		8.707218458	1.473316463	-4.556032622		0.49862585	60.18922653	-2.351990075		-0.000136517	-1.586144337	-0.126675798
		34.54139004	55.56848968	-16.46903574		8.706560772	0.912501286	-4.596596249		0.497968164	60.75004171	-2.392553702		0.002686571	-1.584880478	-0.124993212
		34.60461855	53.31571593	-16.50935084		8.706728853	0.352201974	-4.635221611		0.498136245	61.31034102	-2.431179064		0.003899491	-1.583184761	-0.115186476
		34.67919393	51.0580316	-16.59064422		8.707251953	-0.207454008	-4.669347864		0.498659345	61.869997	-2.465305316		0.003566978	-1.582338046	-0.095678016
		34.7489157	48.81056654	-16.67316211		8.707678118	-0.766766112	-4.696380117		0.49908551	62.42930911	-2.49233757		0.002430666	-1.581435148	-0.070773393
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		35.10146593	19.47933686	-17.56739324		8.785672363	-8.034939983	-4.715033762		0.577079755	69.69748298	-2.510991215		0.061352967	-1.586581045	-0.08417271
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		35.03198676	14.95378282	-17.66558714		8.833317942	-9.158102723	-4.777249724		0.624725334	70.82064572	-2.573207177		0.074896911	-1.589768617	-0.103322556
		35.01629527	12.68859138	-17.78438837		8.860020829	-9.720335389	-4.809831459		0.651428221	71.38287838	-2.605788912		0.079108893	-1.591289953	-0.099182823
		34.99124299	10.42217743	-17.89155397		8.887950092	-10.28299601	-4.839605642		0.679357484	71.945539	-2.635563095		0.081776068	-1.592161333	-0.087776228
		34.97666754	8.171409404	-18.07286793		8.916930155	-10.84603089	-4.865064682		0.708337547	72.50857389	-2.661022135		0.083309781	-1.593239997	-0.069519282
		34.97888901	5.913276739	-18.29000644		8.946308935	-11.40938272	-4.884248538		0.737716327	73.07192571	-2.680205991		0.083788441	-1.594085126	-0.047616561
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		34.99959822	1.417051671	-18.6682871		9.004634214	-12.53702382	-4.901313197		0.796041606	74.19956681	-2.69727065		0.080112681	-1.594894836	0.001711236
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		35.02505954	-3.079034345	-18.99256602		9.059330787	-13.66515485	-4.892658715		0.850738179	75.32769785	-2.688616168		0.07272018	-1.595578933	0.035178196
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		35.0314749	-7.574701749	-19.10750073		9.107274538	-14.79393256	-4.872674356		0.89868193	76.45647556	-2.668631808		0.063805263	-1.59603142	0.035534143
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