Euclidean Disc with Dirichlet Boundary Conditions

The region examined here is the Euclidean Disc of radius 1 with Dirichlet Boundary conditions. This was an important test case for us for the accuracy of MATLAB's FEM solver on curved regions, because the eigenvalue spectrum is known for this region: Eigenvalues correspond to the squares of the zeros of the Bessel Functions of the first kind, J_k(n). Eigenvalues corresponding to zeros of zero-eth Bessel Function, J_0(n), have multiplicity 1, and Eigenvalues corresponding to zeros of all other Bessel Functions, k>0, have multiplicity 2. This region also helped confirm that the accuracy of the MATLAB FEM solver begins to deteriorate after the first approximately 250 Eigenvalues.

Here are the counting graphs for the eigenvalue spectrum, using the true values since the spectrum is known. The first approximately 660 values were used here. The equation for the predicted counting function is N'(t) = 1/4*t - 1/2*sqrt(t) + 1/6.

Here are the difference graphs for the eigenvalue spectrum, using the true values since the spectrum is known. The first approximately 1250 values were used here.

Below is the Eigenvalue spectrum for the Euclidean Disc of radius 1 under Dirichlet Boundary conditions. The calculated and predicted eigenvalue spectrum is presented here, as well as their true values, and the Bessel zeroes that they correspond to. The columns k and n represent that the value corresponds to the nth zero of J_k.

Eigenvalues of Euclidean Disc, r = 1
Refinements
0	1	2	3	4		Predicted	True Value	Bessel Zero	k	n
5.855728684	5.801450956	5.787767182	5.78433261	5.783472733		5.783186107	5.783185963	2.404825558	0	1
15.10333332	14.78839612	14.70869776	14.68866321	14.68364465		14.6819718	14.68197064	3.83170597	1	1
15.12108855	14.79295975	14.7098595	14.68895577	14.68371797		14.68197204	14.68197064	3.83170597	1	1
27.8025603	26.73308388	26.46447933	26.39710793	26.38024155		26.37461943	26.37461643	5.135622302	2	1
27.82920122	26.73900251	26.46593997	26.39747287	26.38033282		26.37461947	26.37461643	5.135622302	2	1
32.32060793	30.93361271	30.58709519	30.50025102	30.47851233		30.47126609	30.47126234	5.52007811	0	2
44.07402271	41.54627536	40.91659227	40.75903096	40.71961061		40.70647049	40.70646582	6.380161896	3	1
44.12651813	41.56206382	40.92074017	40.76008396	40.7198751		40.70647214	40.70646582	6.380161896	3	1
53.97115887	50.40252725	49.51486605	49.29262917	49.23700676		49.21846595	49.21845632	7.01558667	1	2
54.14073779	50.45378734	49.52816526	49.29599115	49.2378501		49.21846975	49.21845632	7.01558667	1	2
64.30428974	59.2570884	58.00141559	57.68760007	57.60911117		57.5829482	57.5829409	7.588342435	4	1
64.44572768	59.28210092	58.00721268	57.6890217	57.60946478		57.58294581	57.5829409	7.588342435	4	1
80.7926178	73.32824946	71.46983899	71.0050774	70.88878251		70.85001754	70.84999892	8.41724414	2	2
81.28050457	73.44662122	71.49868112	71.01222926	70.89056631		70.85001199	70.84999892	8.41724414	2	2
86.37669501	77.74809688	75.601454	75.06566027	74.93167944		74.88701917	74.88700679	8.653727913	0	3
89.00331992	79.92332316	77.6830082	77.12489824	76.98542306		76.93893133	76.93892833	8.771483816	5	1
89.38390622	79.99388915	77.69916321	77.12883284	76.98639918		76.93892129	76.93892833	8.771483816	5	1
113.4175238	99.78628743	96.40334258	95.55910048	95.34797158		95.27759528	95.27757254	9.76102313	3	2
113.9618415	99.9256098	96.43583648	95.56702791	95.34993913		95.27757621	95.27757254	9.76102313	3	2
118.8474099	103.6879088	99.9598811	99.0343353	98.80327457		98.72625432	98.72627248	9.936109524	6	1
119.1692654	103.7482124	99.97348285	99.03763497	98.80409239		98.72624486	98.72627248	9.936109524	6	1
124.9434073	108.802176	104.8192819	103.8292174	103.5818956		103.499455	103.4994539	10.17346814	1	3
126.0741975	109.086611	104.8881072	103.84624	103.5861381		103.4994375	103.4994539	10.17346814	1	3
151.7713704	129.794939	124.2664047	122.8875815	122.5427722		122.4278357	122.4277961	11.06470949	4	2
152.207554	129.8517587	124.2992545	122.897828	122.5454673		122.4280138	122.4277961	11.06470949	4	2
154.542014	130.715252	124.8290168	123.3849356	123.0267398		122.9073413	122.9076002	11.08637002	7	1
155.4635912	130.8241285	124.8531578	123.3920369	123.0285982		122.907452	122.9076002	11.08637002	7	1
170.2158181	143.8944933	137.2306873	135.5729287	135.1587706		135.0207179	135.0207089	11.61984117	2	3
172.3405646	144.411346	137.3533154	135.6030667	135.1662674		135.0206677	135.0207089	11.61984117	2	3
178.3219791	148.932132	141.4966043	139.6534832	139.1935512		139.0402405	139.0402844	11.79153444	0	4
192.2210606	160.3111027	152.1568124	150.1281735	149.6216713		149.4528372	149.4528809	12.22509226	8	1
196.8539127	161.5037323	152.4403971	150.1979525	149.6390484		149.4527471	149.4528809	12.22509226	8	1
198.8363744	163.7581775	155.0879082	152.9509891	152.4185197		152.2410299	152.2411535	12.3386042	5	2
201.2418068	163.975601	155.1263138	152.9600251	152.4207524		152.2409949	152.2411535	12.3386042	5	2
224.7638245	183.5727457	172.9215533	170.2760658	169.6155797		169.3954176	169.3954498	13.01520072	3	3
226.7144215	184.0200714	173.0251043	170.3013907	169.6218743		169.3953688	169.3954498	13.01520072	3	3
239.8211192	193.7292044	181.5359854	178.5221972	177.7710084		177.5206121	177.5207668	13.32369194	1	4
240.7411513	194.5238109	181.7350745	178.5699795	177.7828292		177.5204458	177.5207668	13.32369194	1	4
244.1418669	194.6508327	182.3548715	179.339453	178.587737		178.337165	178.3373412	13.35430048	9	1
245.2712743	194.97445	182.4360307	179.3581563	178.5923227		178.3370448	178.3373412	13.35430048	9	1
251.6729061	201.5979952	188.8454846	185.70972	184.928869		184.6685853	184.6688073	13.58929017	6	2
255.529812	202.085535	188.9309681	185.7289004	184.9335271		184.6684027	184.6688073	13.58929017	6	2
287.3683625	227.9529378	211.8655609	207.8905066	206.8998192		206.5695901	206.5698104	14.37253667	4	3
288.8933606	228.4731956	211.9920196	207.922192	206.9077566		206.5696115	206.5698104	14.37253667	4	3
290.6406153	231.4793095	214.98139	210.8967062	209.8790446		209.5398241	209.5401201	14.47550069	10	1
299.7864949	233.1062442	215.3182396	210.9769002	209.8988496		209.5394994	209.5401201	14.47550069	10	1
307.4838137	243.2263194	225.0332787	220.4552305	219.3043582		218.9207341	218.9201891	14.79595178	2	4
309.8342585	243.3911044	225.3080344	220.5441554	219.3265745		218.9207142	218.9201891	14.79595178	2	4
312.8817952	245.0812775	225.7069743	221.1448383	220.0376361		219.6685687	219.6700067	14.82126873	7	2
326.0456386	246.1675913	225.8587261	221.1882242	220.0481499		219.6681252	219.6700067	14.82126873	7	2
335.663789	250.8151615	229.6595419	224.5985899	223.3479485		222.931068	222.9323036	14.93091771	0	5
348.561798	273.1327982	250.5005116	244.9016039	243.5075511		243.0428668	243.0433571	15.58984788	11	1
355.0741122	274.2762794	250.6911346	244.9439023	243.5178004		243.0424331	243.0433571	15.58984788	11	1
364.5461706	277.4097538	254.1163545	248.3922646	246.9691685		246.4948031	246.4954661	15.70017408	5	3
365.6697833	277.9331401	254.2102455	248.4158775	246.9751262		246.4948758	246.4954661	15.70017408	5	3
374.1159282	289.929398	265.2871807	259.2212724	257.7124866		257.209558	257.210201	16.03777419	8	2
391.1379879	292.1309706	265.676128	259.3112743	257.7345986		257.2090401	257.210201	16.03777419	8	2
401.1901171	298.8712509	271.9226791	265.3685241	263.7420432		263.1998829	263.2008543	16.22346616	3	4
404.8589003	302.9094426	272.7894454	265.5740352	263.792673		263.1988856	263.2008543	16.22346616	3	4
410.1013917	311.3258984	281.0016932	273.6916248	271.8829351		271.2800385	271.2816543	16.47063005	1	5
421.3234842	312.8306709	281.305416	273.7632704	271.9005868		271.2796923	271.2816543	16.47063005	1	5
424.5427056	319.0239245	288.7365127	281.2944336	279.4464293		278.8304278	278.8315509	16.69824993	12	1
440.5133305	319.8569475	288.8529085	281.3196407	279.4525128		278.8301368	278.8315509	16.69824993	12	1
443.6477519	331.6826766	299.6053251	291.7366841	289.7808798		289.128945	289.1298833	17.00381967	6	3
451.3896165	332.6689741	299.7263221	291.7604435	289.7864477		289.1284491	289.1298833	17.00381967	6	3
456.2021342	341.7393768	308.110205	299.9540301	297.9322037		297.2582615	297.2596803	17.24122038	9	2
466.2610351	344.5359609	308.6626417	300.0828636	297.9638046		297.2574516	297.2596803	17.24122038	9	2
477.7370767	359.700964	322.4784906	313.3443538	311.0767402		310.320869	310.3222599	17.61596605	4	4
482.948712	362.9477139	322.9894573	313.4570027	311.104018		310.3196898	310.3222599	17.61596605	4	4
489.4455875	368.8519033	329.6768002	320.0675852	317.683951		316.8894063	316.8910935	17.80143515	13	1
497.6192735	370.3214208	329.8954069	320.1146751	317.6952682		316.8887992	316.8910935	17.80143515	13	1
500.4419476	376.5589309	335.7842141	325.8379058	323.3742978		322.5530952	322.5551163	17.95981949	2	5
516.1424022	379.4871668	336.5641782	326.0358387	323.423891		322.5532417	322.5551163	17.95981949	2	5
525.3953228	384.8612028	340.6426184	330.0453708	327.4315353		326.5602568	326.5633529	18.07106397	0	6
539.3283449	391.247893	348.3386398	337.8931005	335.2990296		334.4343393	334.4356859	18.28758283	7	3
539.7063355	393.0769606	348.6334565	337.9521951	335.3128463		334.4330634	334.4356859	18.28758283	7	3
544.484096	400.3540731	354.3798393	343.3956323	340.6906174		339.7889458	339.7925828	18.43346367	10	2
546.8947449	400.7111675	354.4581188	343.4205999	340.6972443		339.7894591	339.7925828	18.43346367	10	2
557.5926919	423.6178843	373.525225	361.2575083	358.2197944		357.2072231	357.2099226	18.89999795	14	1
561.5213565	425.00151	373.7273608	361.3020812	358.2306056		357.2067804	357.2099226	18.89999795	14	1
577.8592821	425.8818525	376.3365245	364.2431242	361.2433843		360.2434709	360.2454819	18.98013388	5	4
581.3393316	428.6516852	376.8841741	364.3668061	361.273422		360.2422939	360.2454819	18.98013388	5	4
591.7390157	449.5808468	394.6184897	381.17331	377.8358642		376.7233823	376.7253994	19.40941523	3	5
596.371605	450.5902477	395.5706214	381.4279201	377.8999941		376.7240188	376.7253994	19.40941523	3	5
603.6058909	456.3709275	400.0688429	386.7804961	383.4797082		382.3794456	382.379895	19.55453643	8	3
617.9047032	459.6413123	401.2171605	387.0551097	383.5466731		382.3771942	382.379895	19.55453643	8	3
621.8732677	462.3456517	403.3777838	389.36511	385.9261704		384.7798572	384.7819051	19.61585851	1	6
634.0171952	464.8275041	403.9690635	389.4905443	385.9562511		384.7781533	384.7819051	19.61585851	1	6
642.028839	466.041334	404.3151712	389.6017951	385.9827731		384.7764324	384.7861576	19.6159669	11	2
660.3617824	467.8133516	404.6368381	389.673637	386.0004917		384.7761099	384.7861576	19.6159669	11	2
687.8861959	482.9606044	420.200252	404.8382297	401.0395796		399.7733628	399.7772562	19.99443063	15	1
690.2915459	485.2179802	420.5821086	404.9234649	401.0602519		399.7725143	399.7772562	19.99443063	15	1
699.9531842	498.6490515	434.0309759	418.1730291	414.2418792		412.931496	412.9344743	20.32078921	6	4
747.4193418	500.4859458	434.2827635	418.2235581	414.2537614		412.9304959	412.9344743	20.32078921	6	4
749.8046124	524.0085233	454.9801791	437.9796494	433.6670125		432.2294668	432.2202065	20.78990636	12	2
751.4725122	526.2471449	455.1920453	438.011314	433.6794418		432.2354845	432.2202065	20.78990636	12	2
769.9986495	528.9251226	456.438895	438.7276079	434.3751767		432.9243663	432.9332377	20.80704779	9	3
790.0152312	534.5061039	457.2179033	438.8457366	434.3994316		432.9173299	432.9332377	20.80704779	9	3
823.1134404	535.1903777	458.3029157	439.7579265	435.2477581		433.7443686	433.7611364	20.82693296	4	5
833.1792434	536.2240423	458.7083853	439.8995298	435.2859233		433.7480545	433.7611364	20.82693296	4	5
868.9018227	545.0308824	469.4380569	450.7422537	446.1193041		444.5783208	444.5833866	21.08514611	16	1
879.1389687	550.3382385	470.8626483	451.0648737	446.1981092		444.5758543	444.5833866	21.08514611	16	1
907.725313	553.7735685	471.3512408	452.2086507	447.4931261		445.9212845	445.9275645	21.11699705	2	6
912.6615998	555.6295215	472.85486	452.5841526	447.5866788		445.9208541	445.9275645	21.11699705	2	6
980.3388307	559.1251057	476.6864821	456.5427479	451.5806674		449.9266405	449.9335285	21.21163663	0	7
995.1716567	577.8335494	495.2468862	475.0253483	470.0202049		468.3518238	468.3562977	21.64154102	7	4
1047.162086	580.5052608	495.7117501	475.1234664	470.0435998		468.3503109	468.3562977	21.64154102	7	4
1071.25342	598.0848486	510.9287855	489.2643284	483.8719544		482.0744963	482.0766536	21.95624407	13	2
1116.914752	602.1923786	511.5158174	489.3857126	483.9007622		482.0724454	482.0766536	21.95624407	13	2
1153.213143	609.3325641	515.9060728	493.4098419	487.8971453		486.0595798	486.0695637	22.04698536	10	3
1236.318872	611.9487076	516.1865007	493.4773863	487.9140907		486.0596589	486.0695637	22.04698536	10	3
1249.572424	617.5917952	522.8749806	499.3320092	493.5406697		491.6102232	491.6195176	22.17249462	17	1
0	618.82822	523.097625	499.3887504	493.5548613		491.6102316	491.6195176	22.17249462	17	1
0	621.4195407	524.3916231	501.2437845	495.5291415		493.6242606	493.6306322	22.2177999	5	5
0	622.7618153	525.0306187	501.3786777	495.5609731		493.6217382	493.6306322	22.2177999	5	5
0	641.630629	542.6946423	518.1025555	512.0069077		509.9750251	509.9796759	22.58272959	3	6
0	644.7266561	544.2406032	518.5249218	512.1141101		509.9771728	509.9796759	22.58272959	3	6
0	656.7274936	552.9805261	526.6696487	520.1762269		518.0117529	518.021441	22.76008438	1	7
0	657.987328	553.10503	526.6853147	520.1795935		518.0110197	518.021441	22.76008438	1	7
0	666.3977934	560.2228411	534.7957195	528.5530843		526.4722059	526.4809701	22.94517313	8	4
0	669.2442408	561.1948596	535.0518298	528.6170512		526.472125	526.4809701	22.94517313	8	4
0	677.1968959	569.9251567	543.1817821	536.5461994		534.3343386	534.3392086	23.11577835	14	2
0	683.2922971	570.6158577	543.3043307	536.5738468		534.3303521	534.3392086	23.11577835	14	2
0	692.3444287	578.3329441	550.1886543	543.2024904		540.8737691	540.8776339	23.25677609	18	1
0	694.8825408	578.4720044	550.258103	543.2213211		540.8757272	540.8776339	23.25677609	18	1
0	697.7651256	579.5615833	550.928773	544.0378312		541.7408506	541.7653667	23.27585373	11	3
0	700.5998019	579.9596727	551.072743	544.0754089		541.7429642	541.7653667	23.27585373	11	3
0	711.6639219	594.6823513	565.8080484	558.6736487		556.2955155	556.303379	23.58608444	6	5
0	712.5872535	595.3257416	565.9702957	558.7140031		556.2952389	556.303379	23.58608444	6	5
0	739.8800358	618.5880494	587.3280844	579.5160296		576.9120114	576.9132989	24.01901952	4	6
0	745.5815921	619.8675136	587.6640458	579.6017291		576.9142903	576.9132989	24.01901952	4	6
0	755.6928756	629.1459148	597.6581592	589.8696253		587.2734474	587.2811947	24.23388526	9	4
0	761.2261936	629.8375074	597.7803939	589.9007962		587.2742636	587.2811947	24.23388526	9	4
0	764.2731387	632.5442599	599.7786725	591.682337		588.9835584	588.9930991	24.26918003	15	2
0	766.8812591	632.8493358	599.8351369	591.6949389		588.9815395	588.9930991	24.26918003	15	2
0	769.6777747	633.2932216	599.9135671	591.7445717		589.0215733	589.0383517	24.27011231	2	7
0	774.0672163	636.1719909	600.6472624	591.9248965		589.0174412	589.0383517	24.27011231	2	7
0	776.6854439	638.0884994	603.6050508	595.1516538		592.3338548	592.3503947	24.33824962	19	1
0	778.4195683	638.1648555	603.6320894	595.1590595		592.3347163	592.3503947	24.33824962	19	1
0	783.8442153	639.9157201	604.5135577	595.8944873		593.0214638	593.0428697	24.35247153	0	8
0	789.6184068	646.0176553	611.2762019	602.8031268		599.9787684	599.9993933	24.49488504	12	3
0	793.0322895	646.6258842	611.4044929	602.8338074		599.9769122	599.9993933	24.49488504	12	3
0	807.4760204	668.7323822	633.4228642	624.6634857		621.7436929	621.7506288	24.93492789	7	5
0	820.6803751	670.5456475	633.7659851	624.7425394		621.7347242	621.7506288	24.93492789	7	5
0	844.4868762	697.972476	658.8593169	649.2248358		646.013342	646.0248552	25.41701901	16	2
0	850.0505025	698.069248	658.9867187	649.2567356		646.013408	646.0248552	25.41701901	16	2
0	853.8167263	698.4768685	659.5354329	649.3923838		646.0113674	646.0310472	25.41714081	20	1
0	856.632316	698.7662168	659.562385	649.3978191		646.0096304	646.0310472	25.41714081	20	1
0	863.8038045	700.8760479	659.7736179	649.9854816		646.7227695	646.7022512	25.43034115	5	6
0	864.6144651	701.0318738	659.9462863	650.0225303		646.7146116	646.7022512	25.43034115	5	6
0	868.5358629	703.6955963	663.488878	653.8948655		650.6968614	650.7320676	25.50945055	10	4
0	871.3936426	704.5252766	663.7628061	653.9608696		650.6935574	650.7320676	25.50945055	10	4
0	880.1768629	716.8687186	674.5217636	664.1756685		660.7269701	660.752323	25.70510305	13	3
0	889.8735085	717.2514228	674.577422	664.1871009		660.7236605	660.752323	25.70510305	13	3
0	891.9495761	718.7826038	676.7412455	666.400178		662.9531555	662.9680884	25.7481667	3	7
0	894.9918286	721.5445161	677.5280454	666.6010219		662.9586808	662.9680884	25.7481667	3	7
0	903.7026932	730.1726641	685.5396966	674.6145223		670.9727975	671.0002276	25.90367209	1	8
0	909.9313825	731.3832458	685.7448066	674.6614984		670.9670623	671.0002276	25.90367209	1	8
0	924.1886632	747.637119	704.11745	693.4743295		689.9266227	689.9455514	26.26681464	8	5
0	929.5075984	750.1525011	704.802229	693.6460226		689.9272872	689.9455514	26.26681464	8	5
0	946.5087256	765.4617951	717.6892844	705.8455648		701.8976583	701.9133534	26.49364742	21	1
0	949.99583	766.0968756	717.8071431	705.8716605		701.8931663	701.9133534	26.49364742	21	1
0	956.5854883	768.564307	720.9001412	709.2737585		705.3982976	705.4221335	26.55978414	17	2
0	958.7665083	769.5038415	721.0395158	709.3031346		705.3910075	705.4221335	26.55978414	17	2
0	964.9715853	777.2978616	731.9794207	720.6289227		716.8454234	716.8108001	26.77332255	11	4
0	967.1356928	778.8415677	732.3445849	720.7115071		716.8338145	716.8108001	26.77332255	11	4
0	981.2312979	785.432362	735.5227816	723.3338328		719.2708498	719.3205524	26.82015198	6	6
0	988.0137391	787.3293507	735.9794592	723.4432116		719.2644623	719.3205524	26.82015198	6	6
0	995.2523375	791.7795871	740.5612211	728.1149354		723.9661735	724.0065052	26.90736898	14	3
0	1004.542869	792.7765099	740.723439	728.1522663		723.9618754	724.0065052	26.90736898	14	3
0	1007.949637	809.5789667	757.1717637	744.1286616		739.7809608	739.7903753	27.19908777	4	7
0	1013.819007	811.0533037	757.540972	744.2239234		739.7849072	739.7903753	27.19908777	4	7
0	1027.652847	823.6990819	769.585297	756.2910201		751.8595945	751.8878538	27.42057355	2	8
0	1042.441055	828.5065001	770.9111093	756.6219003		751.8588307	751.8878538	27.42057355	2	8
0	1044.842309	830.3909531	774.5523972	760.5313191		755.8576264	755.8913948	27.49347913	0	9
0	1047.06482	833.4020907	778.4144392	764.6157529		760.0161908	759.9915304	27.56794389	22	1
0	1049.11133	835.1708056	778.553258	764.6294491		759.9881794	759.9915304	27.56794389	22	1
0	1051.568853	835.3400154	778.5936133	765.2315992		760.7775945	760.8632069	27.58374896	9	5
0	1061.791802	835.6666956	778.6825358	765.2665669		760.7945772	760.8632069	27.58374896	9	5
0	1064.171626	841.6418375	785.4394936	771.7175074		767.143512	767.1735731	27.69789835	18	2
0	1070.077856	842.9421369	785.7068401	771.7803408		767.1381743	767.1735731	27.69789835	18	2
0	1075.865174	859.7378332	804.037308	790.1420408		785.510285	785.4964706	28.02670995	12	4
0	1084.264905	860.3303676	804.1451279	790.1691175		785.5104474	785.4964706	28.02670995	12	4
0	1105.944784	871.3084649	809.5767601	794.652656		789.6779547	789.7457419	28.10241523	15	3
0	1110.527444	871.5625435	809.6541007	794.6751733		789.6821974	789.7457419	28.10241523	15	3
0	1117.230628	874.5657944	814.3133377	799.6077563		794.7058958	794.7431068	28.19118846	7	6
0	1120.128273	876.0468297	814.6643256	799.6925413		794.7019466	794.7431068	28.19118846	7	6
0	1140.191605	903.9674544	840.7514776	824.8116635		819.4983921	819.4832757	28.62661831	5	7
0	1144.74227	906.6360916	841.1744427	824.8918993		819.4643849	819.4832757	28.62661831	5	7
0	1151.16404	908.506263	841.97854	825.6614535		820.2224247	820.2601986	28.64018503	23	1
0	1152.102181	908.6236645	841.9895999	825.6636471		820.2216628	820.2601986	28.64018503	23	1
0	1170.130395	919.1598712	852.849374	836.6357648		831.2312284	831.2686751	28.83173035	19	2
0	1174.40437	919.5546449	852.9318448	836.6561811		831.2309598	831.2686751	28.83173035	19	2
0	1176.016611	920.7265679	855.5168068	839.7097385		834.4407158	834.4804381	28.88737506	10	5
0	1178.811759	921.4256073	855.738865	839.7722401		834.4500318	834.4804381	28.88737506	10	5
0	1179.728716	924.8642932	857.6663507	841.1612928		835.6596068	835.6927449	28.90835078	3	8
0	1192.602721	930.2712958	859.1343663	841.5329457		835.6658056	835.6927449	28.90835078	3	8
0	1200.225768	938.8978426	866.9361925	849.4758552		843.6557428	843.7182479	29.04682853	1	9
0	1209.059735	942.2225247	867.4395703	849.5767857		843.6225241	843.7182479	29.04682853	1	9
0	1212.455223	945.9421024	878.9347883	862.3146588		856.7746156	856.7698065	29.27063044	13	4
0	1224.981071	946.3637938	881.4385151	862.3330558		855.9645693	856.7698065	29.27063044	13	4
0	1232.129934	954.4819109	881.8192058	863.7449557		857.7202057	857.9551061	29.2908707	16	3
0	1234.301931	956.3322906	896.0099096	863.8228999		853.0938967	857.9551061	29.2908707	16	3
0	1241.032737	967.4955955	897.1093226	878.6754721		872.5308552	872.9460054	29.54565967	8	6
0	1246.487926	971.0058741	907.7539787	878.9578531		869.3591445	872.9460054	29.54565967	8	6
0	1250.257596	984.18262	908.0765062	888.944244		882.5668232	882.7143385	29.71050889	24	1
0	1277.632912	986.4060374	922.9017937	889.0129386		877.7166536	882.7143385	29.71050889	24	1
0	1282.041363	1000.530572	923.0497666	903.9626719		897.6003069	897.6977018	29.96160379	20	2
0	1288.359866	1001.368525	927.5734732	903.9972176		896.1384657	897.6977018	29.96160379	20	2
0	1291.931128	1003.519716	928.0779174	908.4207088		901.868306	902.0244804	30.03372239	6	7
0	1298.640127	1004.648693	935.8970205	908.5585005		899.4456605	902.0244804	30.03372239	6	7
0	1309.033949	1015.399016	936.2899522	916.9855067		910.5506915	910.7757336	30.17906118	11	5
0	1321.066074	1016.359807	949.5734533	917.1000737		906.2756139	910.7757336	30.17906118	11	5
0	1330.911156	1032.150552	950.3811203	929.1730521		922.1036961	922.3981067	30.37100767	4	8
0	1333.140818	1034.913114	955.2485936	929.3747884		920.7501866	922.3981067	30.37100767	4	8
0	1338.998133	1035.565886	955.4635968	935.3270293		928.6148402	928.6207907	30.47327995	17	3
0	1342.938244	1036.056394	957.7908838	935.3997367		927.936021	928.6207907	30.47327995	17	3
0	1352.766455	1043.470234	957.9675778	937.2846522		930.3903437	930.6129954	30.50595016	14	4
0	1357.358354	1045.093633	962.2586722	937.2980581		928.9778534	930.6129954	30.50595016	14	4
0	1365.444019	1048.996912	964.0765025	941.3555026		933.781836	934.4762635	30.5692045	2	9
0	1368.071112	1054.396731	967.5268274	941.8251505		933.2579248	934.4762635	30.5692045	2	9
0	1370.701492	1057.981983	976.4130212	945.673772		935.4273557	938.4791135	30.63460647	0	10
0	1375.315998	1065.775244	976.4474475	954.570445		947.2781108	947.3492532	30.77903919	25	1
0	1380.437872	1065.968278	981.8824172	954.5779802		945.4765012	947.3492532	30.77903919	25	1
0	1387.182537	1068.476818	982.0782865	960.8596658		953.7867922	953.906634	30.88537897	9	6
0	1393.560286	1069.939744	995.7051651	960.8965823		949.2937213	953.906634	30.88537897	9	6
0	1399.837753	1085.921262	995.9584974	973.7205747		966.3079338	966.4515915	31.08780455	21	2
0	1418.203193	1087.448808	1017.068199	973.7771091		959.3467456	966.4515915	31.08780455	21	2
0	1426.729977	1104.38258	1017.506968	994.9683063		987.4554191	987.3919948	31.42279419	7	7
0	1433.339195	1106.143919	1020.215452	995.0840139		986.7068678	987.3919948	31.42279419	7	7
0	1447.768427	1116.448801	1020.510323	997.1479691		989.3605178	989.7290854	31.45996004	12	5
0	1455.688436	1118.21186	1033.068529	997.18816		985.228037	989.7290854	31.45996004	12	5
0	1458.8951	1127.705286	1033.322216	1009.556771		1001.634955	1001.729979	31.65011815	18	3
0	1466.951906	1129.694066	1038.807892	1009.615122		999.884199	1001.729979	31.65011815	18	3
0	1473.100986	1139.276516	1038.905919	1014.848742		1006.829683	1007.009522	31.73341334	15	4
0	1477.732706	1139.811667	1044.901856	1014.886256		1004.881056	1007.009522	31.73341334	15	4
0	1481.145642	1143.331438	1045.383266	1020.219295		1011.831304	1011.985321	31.81171672	5	8
0	1492.930236	1147.91451	1047.51427	1020.286483		1011.210554	1011.985321	31.81171672	5	8
0	1498.240268	1150.427926	1047.633798	1022.438945		1014.040661	1014.160537	31.84588728	26	1
0	1504.596926	1150.839686	1061.680611	1022.468091		1009.39725	1014.160537	31.84588728	26	1
0	1506.653694	1164.279319	1063.726447	1036.506574		1027.433284	1028.15476	32.06485241	3	9
0	1517.677575	1169.151099	1069.94646	1037.01491		1026.037726	1028.15476	32.06485241	3	9
0	1519.858686	1172.309487	1070.579081	1044.931055		1036.381713	1036.175493	32.18967991	1	10
0	1524.803381	1173.983428	1071.316092	1044.937057		1036.144045	1036.175493	32.18967991	1	10
0	1536.603957	1176.553071	1071.589379	1045.776144		1037.171732	1037.521886	32.21058655	22	2
0	1541.820878	1177.551891	1071.727548	1045.922717		1037.321107	1037.521886	32.21058655	22	2
0	1549.678266	1182.864445	1073.068517	1045.947264		1036.906847	1037.60368	32.2118562	10	6
0	1555.136951	1188.235647	1105.53508	1046.021381		1026.183482	1037.60368	32.2118562	10	6
0	1568.435232	1208.60811	1105.62414	1079.910957		1071.339896	1071.321851	32.73105331	13	5
0	1581.562933	1210.239631	1111.676711	1079.945802		1069.368833	1071.321851	32.73105331	13	5
0	1583.504161	1223.96984	1112.949254	1084.448494		1074.948241	1075.5645	32.79580004	8	7
0	1591.044724	1224.941693	1113.7283	1084.852324		1075.226998	1075.5645	32.79580004	8	7
0	1599.134374	1226.446767	1113.859771	1086.343268		1077.1711	1077.270737	32.82180276	19	3
0	1605.197889	1228.607267	1121.170124	1086.346651		1074.738827	1077.270737	32.82180276	19	3
0	1613.325306	1238.275239	1121.403567	1092.584515		1082.978164	1083.144045	32.9111538	27	1
0	1619.556441	1239.06395	1123.02431	1092.645033		1082.518608	1083.144045	32.9111538	27	1
0	1630.379115	1240.420117	1123.434466	1095.089675		1085.641412	1085.944029	32.95366489	16	4
0	1635.363165	1241.628877	1143.347237	1095.200069		1079.151013	1085.944029	32.95366489	16	4
0	1642.784084	1261.328779	1144.280829	1114.139967		1104.093013	1104.435065	33.23304176	6	8
0	1654.764588	1263.153717	1149.871285	1114.386883		1102.558749	1104.435065	33.23304176	6	8
0	1658.23833	1270.480498	1150.058997	1120.570449		1110.740934	1110.900668	33.33017653	23	2
0	1665.567005	1271.498788	1162.52523	1120.614187		1106.64384	1110.900668	33.33017653	23	2
0	1670.572212	1281.875145	1163.032998	1133.575169		1123.755893	1124.017088	33.52636408	11	6
0	1677.113643	1285.511913	1165.354902	1133.684988		1123.128349	1124.017088	33.52636408	11	6
0	1684.355723	1290.017661	1166.993997	1134.848819		1124.13376	1124.739606	33.53713771	4	9
0	1689.759065	1296.839254	1178.283963	1135.25366		1120.910226	1124.739606	33.53713771	4	9
0	1695.248183	1306.513342	1181.115539	1147.068294		1135.719213	1136.803688	33.71651951	2	10
0	1702.338413	1315.625126	1184.265377	1147.760395		1135.592068	1136.803688	33.71651951	2	10
0	1710.236811	1317.405126	1195.535208	1151.515859		1136.842742	1140.806031	33.77582021	0	11
0	1711.047499	1319.79727	1195.70516	1165.046941		1154.827534	1154.295872	33.97493006	28	1
0	1717.389698	1323.928881	1196.934654	1165.071956		1154.451057	1154.295872	33.97493006	28	1
0	1720.688309	1325.690596	1197.336458	1165.481819		1154.863606	1155.231917	33.98870279	20	3
0	1730.017233	1326.889384	1197.708206	1165.504667		1154.770154	1155.231917	33.98870279	20	3
0	1737.758971	1331.475169	1197.90962	1165.685231		1154.943769	1155.536625	33.99318498	14	5
0	1746.093085	1332.49428	1208.851252	1165.799667		1151.449139	1155.536625	33.99318498	14	5
0	1765.051295	1340.24181	1209.741487	1177.020351		1166.113306	1166.521531	34.15437792	9	7
0	1774.334699	1345.422378	1210.706851	1177.198431		1166.028958	1166.521531	34.15437792	9	7
0	1778.620768	1347.239648	1210.870989	1178.08153		1167.15171	1167.402193	34.16726785	17	4
0	1783.253836	1347.954077	1231.149448	1178.129387		1160.456034	1167.402193	34.16726785	17	4
0	1790.592315	1369.558101	1231.481211	1197.629129		1186.345101	1186.580507	34.44677788	24	2
0	1796.227824	1370.953657	1245.193113	1197.710719		1181.883254	1186.580507	34.44677788	24	2
0	1812.742284	1379.706535	1246.380203	1211.124508		1199.372609	1199.727959	34.63708935	7	8
0	1822.926137	1386.331729	1258.368198	1211.372878		1195.707771	1199.727959	34.63708935	7	8
0	1829.453543	1402.102153	1258.686519	1224.306799		1212.846892	1213.127994	34.82998699	12	6
0	1836.824203	1403.312411	1272.668404	1224.353492		1208.248521	1213.127994	34.82998699	12	6
0	1844.807095	1418.618351	1273.438581	1236.321594		1223.949266	1224.214816	34.98878129	5	9
0	1848.160861	1423.943707	1276.71311	1236.419124		1222.987795	1224.214816	34.98878129	5	9
0	1853.355412	1427.432117	1276.955461	1239.789549		1227.400912	1227.612331	35.03729914	29	1
0	1861.95289	1427.851817	1283.157295	1239.842486		1225.404216	1227.612331	35.03729914	29	1
0	1865.475767	1430.135883	1283.613472	1247.4258		1235.363242	1235.603082	35.15114624	21	3
0	1871.080843	1431.135876	1288.688912	1247.523472		1233.801659	1235.603082	35.15114624	21	3
0	1879.807797	1432.578856	1288.832178	1252.521239		1240.417592	1240.354769	35.21867074	3	10
0	1884.05204	1433.38423	1289.620717	1253.18663		1241.041934	1240.354769	35.21867074	3	10
0	1889.333042	1442.148781	1292.255225	1254.030148		1241.288456	1242.357127	35.24708679	15	5
0	1895.426929	1449.45989	1299.977503	1254.040578		1238.72827	1242.357127	35.24708679	15	5
0	1899.730895	1457.04776	1300.20248	1261.095953		1248.060443	1248.371957	35.33230755	1	11
0	1913.138328	1459.151672	1301.278065	1261.163854		1247.792451	1248.371957	35.33230755	1	11
0	1921.781215	1461.276164	1301.87313	1263.678199		1250.946555	1251.370618	35.37471722	18	4
0	1929.723714	1463.556101	1309.593032	1263.775712		1248.503272	1251.370618	35.37471722	18	4
0	1938.231696	1464.330872	1310.447761	1272.459872		1259.797242	1260.243554	35.49990921	10	7
0	1943.006468	1472.044535	1315.498398	1272.624475		1258.333167	1260.243554	35.49990921	10	7
0	1947.301257	1475.00291	1315.659746	1277.169237		1264.339067	1264.554414	35.56057387	25	2
0	1959.607185	1475.100523	1349.280298	1277.207321		1253.182996	1264.554414	35.56057387	25	2
0	1973.407053	1504.304672	1351.859107	1310.810263		1297.127315	1297.844941	36.02561506	8	8
0	1982.086416	1509.229168	1357.878849	1311.484742		1296.020039	1297.844941	36.02561506	8	8
0	1983.575114	1526.908483	1358.097839	1316.838846		1303.085848	1303.089931	36.09833696	30	1
0	1992.914269	1528.428745	1358.577672	1316.886537		1302.989492	1303.089931	36.09833696	30	1
0	1997.834512	1529.570855	1358.810922	1317.860059		1304.209771	1304.918643	36.12365767	13	6
0	2004.727293	1531.410423	1372.545156	1317.931627		1299.727117	1304.918643	36.12365767	13	6
0	2006.719993	1540.028985	1372.870744	1331.827735		1318.146733	1318.374433	36.30942622	22	3
0	2010.938789	1542.032743	1382.83071	1331.887193		1314.906021	1318.374433	36.30942622	22	3
0	2021.670149	1548.60143	1384.064936	1340.568823		1326.070119	1326.563517	36.42201967	6	9
0	2027.338509	1551.536855	1385.104681	1340.925172		1326.198669	1326.563517	36.42201967	6	9
0	2038.370297	1556.4907	1386.133146	1345.088022		1331.406315	1331.768091	36.49339791	16	5
0	2050.849607	1558.051312	1395.246279	1345.341619		1328.706732	1331.768091	36.49339791	16	5
0	2064.301207	1573.798675	1395.647265	1351.967953		1337.408182	1337.83675	36.57645076	19	4
0	2067.207895	1576.97703	1402.621623	1352.0634		1335.210659	1337.83675	36.57645076	19	4
0	2078.512693	1582.805452	1403.012407	1359.113426		1344.480433	1344.8158	36.67173025	26	2
0	2085.762266	1584.050708	1404.821148	1359.188982		1343.97826	1344.8158	36.67173025	26	2
0	2092.09194	1585.802992	1406.974277	1361.260286		1346.02229	1346.816684	36.69900113	4	10
0	2101.626433	1588.107697	1413.679103	1361.782843		1344.484089	1346.816684	36.69900113	4	10
0	2106.543077	1593.477587	1414.071371	1370.824783		1356.409254	1356.711978	36.83357134	11	7
0	2114.813173	1596.746067	1418.104577	1370.909194		1355.177399	1356.711978	36.83357134	11	7
0	2121.496664	1602.888563	1421.987336	1373.481517		1357.312911	1358.87019	36.86285651	2	11
0	2127.438275	1614.841434	1425.00083	1374.481496		1357.641718	1358.87019	36.86285651	2	11
0	2128.784608	1620.482397	1443.206501	1378.118622		1356.422663	1362.872151	36.91709835	0	12
0	2138.923847	1635.853361	1443.374037	1396.19614		1380.470175	1380.725363	37.15811302	31	1
0	2144.790264	1636.195318	1456.676187	1396.233302		1376.085673	1380.725363	37.15811302	31	1
0	2162.770064	1637.275768	1457.152701	1413.396948		1398.811697	1398.767478	37.40009998	9	8
0	2171.440035	1639.02574	1462.251232	1413.516911		1397.272138	1398.767478	37.40009998	9	8
0	2176.715298	1655.213722	1463.122595	1414.739725		1398.612102	1399.372315	37.40818513	14	6
0	2185.324872	1657.128152	1464.909375	1414.95374		1398.301862	1399.372315	37.40818513	14	6
0	2192.701933	1657.55967	1465.244136	1418.750809		1403.253033	1403.536746	37.46380582	23	3
0	2193.230637	1660.955389	1485.174022	1418.819766		1396.70168	1403.536746	37.46380582	23	3
0	2199.02851	1674.220574	1485.390882	1439.146672		1423.731935	1423.755179	37.73268052	17	5
0	2214.85295	1676.411828	1491.482492	1439.17607		1421.740596	1423.755179	37.73268052	17	5
0	2216.839283	1689.59119	1491.656229	1442.81103		1426.529297	1426.78879	37.77285784	20	4
0	2230.948412	1692.209467	1494.075367	1442.892447		1425.831474	1426.78879	37.77285784	20	4
0	2233.280009	1695.326929	1494.26618	1443.68165		1426.82014	1427.358439	37.78039755	27	2
0	2234.252316	1701.574364	1497.034381	1443.729451		1425.96114	1427.358439	37.78039755	27	2
0	2250.865675	1704.855038	1498.590433	1448.058789		1431.214908	1431.768533	37.83871738	7	9
0	2252.097522	1707.688196	1520.910262	1448.362889		1424.180432	1431.768533	37.83871738	7	9
0	2265.397244	1723.321177	1521.971545	1472.025678		1455.377056	1455.909144	38.1563775	12	7
0	2279.837078	1726.982113	1524.447378	1472.202789		1454.787927	1455.909144	38.1563775	12	7
0	2283.440843	1732.317426	1526.400384	1473.241495		1455.521865	1456.175569	38.15986856	5	10
0	2294.746778	1743.308256	1530.678551	1473.537237		1454.490132	1456.175569	38.15986856	5	10
0	2298.161842	1747.234846	1530.736409	1477.869173		1460.246762	1460.515485	38.21669119	32	1
0	2311.988897	1748.38083	1541.298655	1477.887118		1456.749939	1460.515485	38.21669119	32	1
0	2320.019364	1755.165372	1545.093731	1489.417442		1470.858678	1472.293155	38.37047243	3	11
0	2326.515553	1760.971094	1552.924389	1490.462703		1469.642141	1472.293155	38.37047243	3	11
0	2329.447285	1767.094564	1553.792428	1498.199268		1479.668215	1480.307637	38.47476623	1	12
0	2341.934067	1773.15718	1560.275037	1498.351439		1477.71024	1480.307637	38.47476623	1	12
0	2348.102144	1775.314851	1560.455124	1508.231316		1490.823381	1491.081326	38.61452222	24	3
0	2352.651817	1777.737558	1563.822167	1508.265427		1489.746514	1491.081326	38.61452222	24	3
0	2357.235109	1782.349368	1564.130173	1513.29335		1496.347743	1496.47324	38.68427639	15	6
0	2364.118927	1788.515064	1573.857439	1513.385421		1493.228082	1496.47324	38.68427639	15	6
0	2369.387747	1796.629362	1574.461182	1520.008075		1501.857039	1502.477683	38.76180702	10	8
0	2378.271451	1800.885566	1585.26834	1520.1655		1498.464554	1502.477683	38.76180702	10	8
0	2384.660631	1805.149835	1585.292354	1530.353412		1512.040431	1512.17644	38.8867129	28	2
0	2402.872409	1805.638652	1588.225477	1530.376944		1511.094099	1512.17644	38.8867129	28	2
0	2406.893509	1813.029633	1588.471292	1535.515417		1517.863458	1518.215626	38.96428655	21	4
0	2426.1908	1816.396003	1594.32722	1535.553133		1515.96177	1518.215626	38.96428655	21	4
0	2430.27568	1833.422325	1594.776797	1537.00633		1517.749508	1518.304895	38.96543205	18	5
0	2445.178656	1833.923709	1613.630675	1537.109812		1511.602858	1518.304895	38.96543205	18	5
0	2452.017647	1838.35581	1616.925982	1558.285175		1538.738239	1539.812759	39.240448	8	9
0	2452.246594	1845.25012	1620.447374	1559.107193		1538.660466	1539.812759	39.240448	8	9
0	2466.452124	1860.36	1621.40161	1561.752649		1541.869662	1542.45731	39.27413029	33	1
0	2475.866668	1866.439778	1632.852695	1561.960038		1538.329153	1542.45731	39.27413029	33	1
0	2485.631272	1869.193634	1633.371736	1576.316792		1557.298478	1557.818287	39.46920683	13	7
0	2492.234966	1871.493576	1647.36531	1576.376957		1552.714172	1557.818287	39.46920683	13	7
0	2497.740281	1886.807032	1649.297894	1588.047056		1567.63011	1568.416572	39.60323942	6	10
0	2506.812073	1892.864551	1658.443413	1588.552071		1565.254957	1568.416572	39.60323942	6	10
0	2529.480214	1899.673112	1659.085021	1600.189909		1580.558205	1580.999955	39.76179013	25	3
0	2532.526355	1901.816656	1668.858827	1600.333736		1577.492039	1580.999955	39.76179013	25	3
0	2538.496687	1904.01007	1672.227685	1608.657676		1587.467673	1588.630454	39.8576273	4	11
0	2548.848422	1912.892805	1672.859327	1609.52919		1588.419144	1588.630454	39.8576273	4	11
0	2561.153136	1919.282403	1673.825517	1615.288301		1595.775895	1596.20653	39.95255349	16	6
0	2576.045426	1927.806321	1681.414903	1615.533583		1593.573143	1596.20653	39.95255349	16	6
0	2590.89918	1931.935941	1681.752939	1619.634874		1598.928853	1599.264215	39.99080163	29	2
0	2592.991977	1933.951262	1682.502526	1619.714414		1598.785044	1599.264215	39.99080163	29	2
0	2598.33101	1934.786781	1687.110247	1620.886701		1598.812186	1600.67581	40.00844673	2	12
0	2609.768495	1940.526282	1689.069084	1622.349082		1600.109082	1600.67581	40.00844673	2	12
0	2620.119116	1945.053617	1690.673039	1625.706466		1604.050942	1604.677475	40.05842576	0	13
0	2624.950997	1946.338178	1692.925397	1628.94765		1607.621734	1608.958366	40.11182327	11	8
0	2632.774956	1949.599906	1693.253352	1629.129888		1607.755399	1608.958366	40.11182327	11	8
0	2667.501375	1959.742114	1693.94195	1632.483478		1611.99732	1612.106774	40.15104948	22	4
0	2678.034683	1967.409172	1699.915907	1632.555522		1610.10206	1612.106774	40.15104948	22	4
0	2703.381093	1971.592676	1700.333154	1635.824443		1614.32154	1615.404509	40.1920951	19	5
0	2711.731572	1972.450929	1713.524724	1635.952156		1610.094634	1615.404509	40.1920951	19	5
0	2721.361038	1981.086813	1714.536493	1648.046826		1625.883604	1626.547991	40.33048464	34	1
0	2735.680347	1986.830007	1735.06593	1648.272092		1619.340813	1626.547991	40.33048464	34	1
0	2742.22201	1988.164584	1737.001201	1671.984112		1650.311749	1650.679377	40.62855372	9	9
0	2770.664621	1996.843881	1748.354484	1672.34724		1647.011493	1650.679377	40.62855372	9	9
0	2791.136495	2020.870925	1748.946195	1683.43278		1661.594975	1662.423491	40.77282785	14	7
0	2798.432821	2022.9433	1760.141803	1683.537798		1658.003129	1662.423491	40.77282785	14	7
0	2809.277147	2030.231411	1760.527993	1694.795019		1672.884028	1673.28485	40.9058046	26	3
0	0	2033.565591	1774.000149	1694.864599		1668.486082	1673.28485	40.9058046	26	3
0	0	2043.896882	1776.194082	1706.156882		1682.811149	1683.52439	41.03077369	7	10
0	0	2050.534814	1780.457643	1706.502166		1681.850341	1683.52439	41.03077369	7	10
0	0	2053.896451	1781.0408	1711.36566		1688.140614	1688.616458	41.09277866	30	2
0	0	2059.870197	1785.496843	1711.497813		1686.83147	1688.616458	41.09277866	30	2
0	0	2066.180507	1786.193023	1720.244915		1698.262213	1698.55811	41.21356706	17	6
0	0	2067.272551	1800.124038	1720.389467		1693.811277	1698.55811	41.21356706	17	6
0	0	2078.159465	1800.638779	1731.230212		1708.094023	1707.869953	41.32638325	5	11
0	0	2084.461192	1801.586079	1731.452822		1708.07507	1707.869953	41.32638325	5	11
0	0	2087.668633	1804.030719	1731.518049		1707.347159	1708.452321	41.33342861	23	4
0	0	2092.597376	1809.460197	1731.700782		1705.780977	1708.452321	41.33342861	23	4
0	0	2096.718189	1809.65637	1736.731664		1712.423429	1712.784814	41.3858045	35	1
0	0	2106.379185	1810.023815	1736.85427		1712.464421	1712.784814	41.3858045	35	1
0	0	2109.651797	1810.383925	1738.075307		1713.972434	1715.041995	41.41306551	20	5
0	0	2112.977617	1810.548749	1738.248621		1714.148578	1715.041995	41.41306551	20	5
0	0	2113.848286	1811.174194	1740.823984		1717.373914	1718.193054	41.45109231	12	8
0	0	2115.960354	1819.248501	1740.98147		1714.892459	1718.193054	41.45109231	12	8
0	0	2120.356456	1823.914347	1747.454499		1721.967883	1723.970162	41.52071967	3	12
0	0	2123.010031	1832.22072	1748.933272		1721.17079	1723.970162	41.52071967	3	12
0	0	2135.049431	1833.536104	1756.557348		1730.897762	1731.982531	41.61709421	1	13
0	0	2146.335528	1858.65044	1756.711591		1722.731975	1731.982531	41.61709421	1	13
0	0	2153.231964	1860.148997	1788.342036		1764.406382	1764.351997	42.00419024	10	9
0	0	2159.575085	1864.958315	1788.678519		1763.25192	1764.351997	42.00419024	10	9
0	0	2166.669823	1865.072801	1791.935061		1767.555814	1767.928633	42.04674343	27	3
0	0	2168.923181	1869.047536	1791.961813		1766.266572	1767.928633	42.04674343	27	3
0	0	2181.306846	1869.104764	1793.646661		1768.49396	1769.709641	42.067917	15	7
0	0	2183.311514	1882.711428	1793.703475		1764.034157	1769.709641	42.067917	15	7
0	0	2196.762203	1883.390002	1805.575994		1779.637992	1780.22812	42.19274962	31	2
0	0	2200.235075	1901.707038	1805.72665		1773.733187	1780.22812	42.19274962	31	2
0	0	2204.049527	1902.048162	1826.841435		1801.772526	1801.165185	42.44013649	36	1
0	0	2208.160147	1903.453464	1827.683315		1802.426599	1801.165185	42.44013649	36	1
0	0	2217.370096	1907.692896	1827.818537		1801.19375	1801.483607	42.44388774	8	10
0	0	2219.204509	1908.665887	1827.906931		1800.987279	1801.483607	42.44388774	8	10
0	0	2229.790572	1909.330753	1828.098529		1801.021122	1803.51465	42.46780721	18	6
0	0	2231.817033	1910.873044	1828.219768		1800.668676	1803.51465	42.46780721	18	6
0	0	2241.327106	1910.991214	1832.980106		1806.976404	1807.242876	42.51167929	24	4
0	0	2244.923235	1923.987495	1833.042793		1802.727892	1807.242876	42.51167929	24	4
0	0	2251.902104	1924.577317	1843.25009		1816.141014	1817.205973	42.62869893	21	5
0	0	2260.556085	1934.026911	1843.349144		1813.123221	1817.205973	42.62869893	21	5
0	0	2263.322635	1937.828791	1855.710869		1828.338229	1829.998489	42.77848161	6	11
0	0	2264.944451	1940.826209	1855.859728		1827.537567	1829.998489	42.77848161	6	11
0	0	2270.462712	1959.615687	1856.813474		1822.54607	1830.165984	42.78043927	13	8
0	0	2276.818623	1964.270108	1857.548326		1821.974399	1830.165984	42.78043927	13	8
0	0	2289.95803	1972.687294	1877.372017		1845.600258	1850.181633	43.01373772	4	12
0	0	2303.586869	1973.099786	1878.559915		1847.046625	1850.181633	43.01373772	4	12
0	0	2306.630256	1973.222674	1889.560636		1861.67329	1862.220573	43.15345378	2	13
0	0	2309.516372	1979.680391	1891.579631		1862.21271	1862.220573	43.15345378	2	13
0	0	2312.315768	1981.012326	1891.626601		1861.83136	1864.924293	43.18476922	28	3
0	0	2313.478734	1984.800098	1891.703385		1860.671148	1864.924293	43.18476922	28	3
0	0	2320.18756	1987.11647	1894.765573		1863.98194	1866.222004	43.19979171	0	14
0	0	2339.231934	1988.534426	1902.290558		1873.542602	1874.094391	43.29081186	32	2
0	0	2340.301471	1988.883492	1902.31804		1873.462889	1874.094391	43.29081186	32	2
0	0	2343.538578	1995.610052	1905.682322		1875.706412	1879.662373	43.3550732	16	7
0	0	2344.571336	1995.923039	1905.842686		1875.815902	1879.662373	43.3550732	16	7
0	0	2353.398377	2010.521749	1908.968113		1875.116901	1880.814731	43.36836095	11	9
0	0	2363.079619	2011.577905	1908.975332		1874.774474	1880.814731	43.36836095	11	9
0	0	2364.66808	2021.579676	1920.978917		1887.44533	1891.686626	43.49352395	37	1
0	0	2368.806574	2021.809236	1921.207441		1887.673509	1891.686626	43.49352395	37	1
0	0	2374.851809	2024.220611	1937.062217		1908.009419	1908.469529	43.68603357	25	4
0	0	2379.137936	2024.68222	1937.170559		1908.000005	1908.469529	43.68603357	25	4
0	0	2382.42828	2037.928951	1938.730849		1905.664815	1911.063512	43.71571242	19	6
0	0	2385.12513	2040.399666	1938.766444		1904.888704	1911.063512	43.71571242	19	6
0	0	2387.297463	2042.256855	1951.071511		1920.676397	1921.88565	43.83931625	22	5
0	0	2395.208676	2042.735404	1951.17274		1920.651852	1921.88565	43.83931625	22	5
0	0	2422.266786	2062.739426	1951.580734		1914.527837	1922.278923	43.84380142	9	10
0	0	2423.42293	2063.472865	1951.910923		1914.723609	1922.278923	43.84380142	9	10
0	0	2430.754581	2077.022896	1973.770663		1939.353252	1944.862088	44.10059057	14	8
0	0	2433.774947	2081.035639	1973.888585		1938.172901	1944.862088	44.10059057	14	8
0	0	2441.308926	2083.934186	1985.546881		1952.751113	1955.002349	44.21540851	7	11
0	0	2454.498395	2084.357334	1986.154452		1953.420158	1955.002349	44.21540851	7	11
0	0	2457.557891	2096.392425	1993.816583		1959.624636	1964.265158	44.32003112	29	3
0	0	2459.3358	2097.050109	1993.93299		1959.560617	1964.265158	44.32003112	29	3
0	0	2469.106393	2103.802539	2001.400513		1967.266504	1970.210683	44.38705536	33	2
0	0	2477.547876	2109.146953	2001.550767		1965.685372	1970.210683	44.38705536	33	2
0	0	2486.132518	2115.692782	2010.687593		1975.685863	1979.299516	44.48931912	5	12
0	0	2488.628536	2116.549298	2011.308474		1976.228199	1979.299516	44.48931912	5	12
0	0	2489.724878	2121.879098	2016.697492		1981.636957	1984.346761	44.54600724	38	1
0	0	2504.816999	2125.914905	2016.84475		1980.488032	1984.346761	44.54600724	38	1
0	0	2509.249997	2128.392185	2021.923267		1986.433628	1992.268027	44.63482975	17	7
0	0	2515.666873	2128.769785	2021.982555		1986.386812	1992.268027	44.63482975	17	7
0	0	2522.990946	2138.100917	2026.751774		1989.635394	1995.38595	44.66974312	3	13
0	0	2524.297735	2140.274985	2028.546024		1991.303037	1995.38595	44.66974312	3	13
0	0	2525.449222	2140.823444	2031.070488		1994.486169	2000.052234	44.72194354	12	9
0	0	2526.083971	2141.462371	2031.26649		1994.53453	2000.052234	44.72194354	12	9
0	0	2530.672801	2145.432623	2036.272534		1999.885837	2003.396637	44.759319	1	14
0	0	2539.006188	2146.356436	2036.725775		2000.182222	2003.396637	44.759319	1	14
0	0	2541.459612	2163.499019	2043.928408		2004.071537	2012.123813	44.8567031	26	4
0	0	2544.295072	2164.361283	2044.018466		2003.904193	2012.123813	44.8567031	26	4
0	0	2548.790344	2175.894813	2052.094613		2010.827879	2021.192699	44.95767675	20	6
0	0	2562.734785	2178.060177	2052.278542		2010.351331	2021.192699	44.95767675	20	6
0	0	2569.243695	2195.683275	2061.839342		2017.224697	2029.07078	45.04520818	23	5
0	0	2582.121611	2196.326478	2062.034746		2017.270835	2029.07078	45.04520818	23	5
0	0	2587.58634	2198.249231	2078.650086		2038.783704	2045.895296	45.2315741	10	10
0	0	2591.65172	2198.88725	2079.108671		2039.182478	2045.895296	45.2315741	10	10
0	0	2606.803167	2208.497945	2094.719988		2056.794002	2062.266966	45.41218961	15	8
0	0	2611.212433	2208.576003	2094.910007		2057.021341	2062.266966	45.41218961	15	8
0	0	2612.854528	2219.440477	2098.611589		2058.335292	2065.944873	45.45266629	30	3
0	0	2618.601139	2224.333752	2098.724269		2056.854441	2065.944873	45.45266629	30	3
0	0	2630.450756	2224.391606	2103.103883		2062.674643	2068.572611	45.48156342	34	2
0	0	2636.4042	2225.490427	2103.148099		2062.367323	2068.572611	45.48156342	34	2
0	0	2640.073153	2240.711578	2114.809308		2072.841884	2079.143317	45.59762403	39	1
0	0	2642.281927	2241.067929	2114.848017		2072.774713	2079.143317	45.59762403	39	1
0	0	2654.230895	2254.40171	2116.825131		2070.966271	2082.867587	45.63844418	8	11
0	0	2657.44013	2257.362636	2118.554722		2072.285417	2082.867587	45.63844418	8	11
0	0	2668.356431	2260.632381	2140.751198		2100.790804	2107.513602	45.90766387	18	7
0	0	2670.2614	2260.937785	2140.821082		2100.782181	2107.513602	45.90766387	18	7
0	0	2677.7455	2262.745371	2146.814841		2108.171331	2111.312071	45.949016	6	12
0	0	2691.76566	2264.625679	2147.861106		2108.939582	2111.312071	45.949016	6	12
0	0	2695.318311	2272.716476	2153.40334		2113.632295	2118.197668	46.0238815	27	4
0	0	2700.178607	2273.158101	2153.481087		2113.588749	2118.197668	46.0238815	27	4
0	0	2706.615743	2278.503377	2156.680554		2116.072946	2122.049722	46.06571091	13	9
0	0	2707.834899	2282.820244	2156.911191		2114.941506	2122.049722	46.06571091	13	9
0	0	2709.323376	2289.137431	2167.608783		2127.099233	2131.470698	46.16785351	4	13
0	0	2713.062451	2289.768051	2168.445007		2128.003992	2131.470698	46.16785351	4	13
0	0	2726.579993	2291.929863	2168.539607		2127.409521	2133.8908	46.19405589	21	6
0	0	2738.41376	2300.825142	2169.075828		2125.15939	2133.8908	46.19405589	21	6
0	0	2743.359373	2303.214678	2175.38756		2132.778521	2138.75162	46.24663901	24	5
0	0	2747.737092	2315.635633	2175.571468		2128.883413	2138.75162	46.24663901	24	5
0	0	2756.980546	2316.05188	2179.861771		2134.465068	2143.504496	46.29799668	2	14
0	0	2758.780087	2317.999672	2182.530451		2137.374044	2143.504496	46.29799668	2	14
0	0	2762.296889	2318.943644	2185.422142		2140.914975	2147.50574	46.34118837	0	15
0	0	2773.41858	2323.296642	2205.780772		2166.608815	2169.175983	46.57441339	35	2
0	0	2776.793116	2324.067812	2205.860926		2166.45863	2169.175983	46.57441339	35	2
0	0	2781.028862	2333.579945	2207.365734		2165.29433	2169.95737	46.58280123	31	3
0	0	2791.781941	2334.214057	2207.504655		2165.268188	2169.95737	46.58280123	31	3
0	0	2793.325433	2334.486063	2208.947249		2167.100978	2172.318032	46.60813268	11	10
0	0	2801.051275	2337.439969	2209.21322		2166.470971	2172.318032	46.60813268	11	10
0	0	2808.377562	2366.786357	2214.949386		2164.337062	2176.074109	46.6484095	40	1
0	0	2809.983915	2371.441515	2215.609457		2163.665437	2176.074109	46.6484095	40	1
0	0	2814.303899	2374.846986	2218.686042			2182.366851	46.71580944	16	8
0	0	0	2375.714437	2219.104154			2182.366851	46.71580944	16	8
0	0	0	2383.447552	2252.273332			2213.580241	47.04870074	9	11
0	0	0	2384.427817	2253.030719			2213.580241	47.04870074	9	11
0	0	0	2402.597106	2262.465713			2225.386707	47.17400457	19	7
0	0	0	2403.205176	2262.60413			2225.386707	47.17400457	19	7
0	0	0	2404.484474	2265.461955			2226.683413	47.18774643	28	4
0	0	0	2405.962269	2265.676829			2226.683413	47.18774643	28	4
0	0	0	2408.876143	2285.283823			2246.206948	47.39416576	7	12
0	0	0	2414.095692	2285.489198			2246.206948	47.39416576	7	12
0	0	0	2419.052665	2286.572543			2246.79297	47.40034778	14	9
0	0	0	2419.53781	2291.959936			2246.79297	47.40034778	14	9
0	0	0	2434.66077	2292.042913			2249.146955	47.42517216	22	6
0	0	0	2436.22284	2311.844615			2249.146955	47.42517216	22	6
0	0	0	2436.829236	2312.719444			2250.918889	47.44384986	25	5
0	0	0	2442.03078	2313.333361			2250.918889	47.44384986	25	5
0	0	0	2442.396014	2313.483374			2270.465302	47.64939981	5	13
0	0	0	2442.76612	2316.215139			2270.465302	47.64939981	5	13
0	0	0	2450.675806	2316.467431			2272.016782	47.66567719	36	2
0	0	0	2451.286167	2318.116356			2272.016782	47.66567719	36	2
0	0	0	2453.510575	2318.306467			2275.13704	47.69839662	41	1
0	0	0	2456.88186	2327.808147			2275.13704	47.69839662	41	1
0	0	0	2460.967237	2330.284377			2276.296856	47.71055288	32	3
0	0	0	2461.563086	2337.426362			2276.296856	47.71055288	32	3
0	0	0	2472.498873	2338.009056			2286.540628	47.81778569	3	14
0	0	0	2475.512757	2341.890396			2286.540628	47.81778569	3	14
0	0	0	2477.711273	2342.272444			2294.549955	47.90146089	1	15
0	0	0	2481.069268	2346.492958			2294.549955	47.90146089	1	15
0	0	0	2509.910351	2346.581755			2301.53284	47.97429353	12	10
0	0	0	2510.972099	2380.225486			2301.53284	47.97429353	12	10
0	0	0	2511.358309	2380.430016			2305.148585	48.01196294	17	8
0	0	0	2513.073816	2387.096569			2305.148585	48.01196294	17	8
0	0	0	2520.954345	2387.318194			2337.573715	48.34846135	29	4
0	0	0	2522.728263	2390.622012			2337.573715	48.34846135	29	4
0	0	0	2537.561092	2391.106248			2345.875526	48.4342392	20	7
0	0	0	2537.924882	2408.444183			2345.875526	48.4342392	20	7
0	0	0	2551.498143	2408.511001			2347.126478	48.44715139	10	11
0	0	0	2551.729892	2412.057905			2347.126478	48.44715139	10	11
0	0	0	2552.636619	2412.097228			2365.563738	48.63706136	26	5
0	0	0	2552.877582	2417.489416			2365.563738	48.63706136	26	5
0	0	0	2559.044548	2417.695465			2366.950808	48.65131867	23	6
0	0	0	2559.213258	2421.876023			2366.950808	48.65131867	23	6
0	0	0	2564.465167	2421.926063			2374.268305	48.72646412	15	9
0	0	0	2565.129841	2423.951314			2374.268305	48.72646412	15	9
0	0	0	2565.374768	2424.106242			2376.330094	48.74761629	42	1
0	0	0	2569.909496	2428.790966			2376.330094	48.74761629	42	1
0	0	0	2571.004263	2428.914435			2377.091159	48.75542184	37	2
0	0	0	2571.628526	2428.993957			2377.091159	48.75542184	37	2
0	0	0	2598.736322	2430.887151			2383.971478	48.82593038	8	12
0	0	0	2603.485786	2458.878037			2383.971478	48.82593038	8	12
0	0	0	2605.548283	2460.181866			2384.957784	48.83602957	33	3
0	0	0	2606.442584	2473.952183			2384.957784	48.83602957	33	3
0	0	0	2619.260097	2474.396067			2412.359229	49.11577372	6	13
0	0	0	2625.094315	2478.86127			2412.359229	49.11577372	6	13
0	0	0	2629.208727	2480.201061			2430.599579	49.30111134	18	8
0	0	0	2631.624075	2481.119693			2430.599579	49.30111134	18	8
0	0	0	2639.071867	2481.686651			2432.497978	49.32036069	4	14
0	0	0	2640.656782	2492.089218			2432.497978	49.32036069	4	14
0	0	0	2641.776803	2495.432145			2433.525865	49.3307801	13	10
0	0	0	2648.40409	2497.658443			2433.525865	49.3307801	13	10
0	0	0	2653.10446	2497.821713			2444.527592	49.44216411	2	15
0	0	0	2654.070553	2498.088957			2444.527592	49.44216411	2	15
0	0	0	2655.238707	2514.794477			2448.528682	49.4826099	0	16
0	0	0	2674.291988	2514.889495			2450.861567	49.50617706	30	4
0	0	0	2674.502158	2530.084498			2450.861567	49.50617706	30	4
0	0	0	2677.591825	2530.388544			2468.968778	49.68871882	21	7
0	0	0	2678.287396	2530.991501			2468.968778	49.68871882	21	7
0	0	0	2682.562859	2531.080834			2479.651332	49.79609755	43	1
0	0	0	2682.621453	2532.023094			2479.651332	49.79609755	43	1
0	0	0	2688.64737	2532.289282			2482.677716	49.82647605	27	5
0	0	0	2688.776477	2534.651043			2482.677716	49.82647605	27	5
0	0	0	2691.547732	2534.877647			2483.492691	49.83465351	11	11
0	0	0	2691.884578	2536.400183			2483.492691	49.83465351	11	11
0	0	0	2696.458332	2536.444742			2484.395419	49.84370992	38	2
0	0	0	2697.823642	2544.082872			2484.395419	49.84370992	38	2
0	0	0	2703.205003	2544.284253			2487.292478	49.87276289	24	6
0	0	0	2704.325836	2552.377696			2487.292478	49.87276289	24	6
0	0	0	2726.073965	2552.992236			2495.934846	49.95933192	34	3
0	0	0	2733.055813	2575.316861			2495.934846	49.95933192	34	3
0	0	0	2753.937253	2576.216469			2504.462591	50.04460602	16	9
0	0	0	2754.489575	2607.431935			2504.462591	50.04460602	16	9
0	0	0	2764.822897	2607.538442			2524.592881	50.24532696	9	12
0	0	0	2774.055923	2609.509572			2524.592881	50.24532696	9	12
0	0	0	2774.903228	2610.766395			2557.141302	50.56818468	7	13
0	0	0	2775.938145	2617.780243			2557.141302	50.56818468	7	13
0	0	0	2779.081516	2618.05277			2558.707786	50.58367114	19	8
0	0	0	2780.100402	2619.388898			2558.707786	50.58367114	19	8
0	0	0	2794.370661	2619.81921			2566.540264	50.661033	31	4
0	0	0	2798.219161	2634.847715			2566.540264	50.661033	31	4
0	0	0	2799.907371	2636.146861			2568.2837	50.67823695	14	10
0	0	0	2806.135758	2640.465368			2568.2837	50.67823695	14	10
0	0	0	2807.792511	2640.560843			2581.368036	50.8071652	5	14
0	0	0	2808.278759	2645.252759			2581.368036	50.8071652	5	14
0	0	0	2813.160495	2645.568979			2585.098883	50.8438677	44	1
0	0	0	2814.328072	2648.640777			2585.098883	50.8438677	44	1
0	0	0	2815.392668	2648.714238			2593.926012	50.93059996	39	2
0	0	0	0	2650.78823			2593.926012	50.93059996	39	2
0	0	0	0	2653.821318			2594.655678	50.93776279	22	7
0	0	0	0	2655.423044			2594.655678	50.93776279	22	7
0	0	0	0	2655.626336			2597.434273	50.96502991	3	15
0	0	0	0	2661.23357			2597.434273	50.96502991	3	15
0	0	0	0	2661.696079			2602.252744	51.01228033	28	5
0	0	0	0	2662.050917			2602.252744	51.01228033	28	5
0	0	0	0	2662.252834			2605.442484	51.04353518	1	16
0	0	0	0	2664.18289			2605.442484	51.04353518	1	16
0	0	0	0	2664.372332			2609.222948	51.08055352	35	3
0	0	0	0	2676.449461			2609.222948	51.08055352	35	3
0	0	0	0	2676.604965			2610.162521	51.08974967	25	6
0	0	0	0	2690.81546			2610.162521	51.08974967	25	6
0	0	0	0	2691.041556			2622.665564	51.211967	12	11
0	0	0	0	2724.479382			2622.665564	51.211967	12	11
0	0	0	0	2725.316008			2637.363207	51.35526465	17	9
0	0	0	0	2740.654073			2637.363207	51.35526465	17	9
0	0	0	0	2740.779259			2668.058408	51.65325167	10	12
0	0	0	0	2743.559208			2668.058408	51.65325167	10	12
0	0	0	0	2743.654955			2684.603384	51.8131584	32	4
0	0	0	0	2752.938106			2684.603384	51.8131584	32	4
0	0	0	0	2753.008571			2689.461667	51.86001993	20	8
0	0	0	0	2761.415913			2689.461667	51.86001993	20	8
0	0	0	0	2762.261664			2692.670947	51.89095246	45	1
0	0	0	0	2763.41416			2692.670947	51.89095246	45	1
0	0	0	0	2765.112431			2704.799971	52.00769146	8	13
0	0	0	0	2765.232484			2704.799971	52.00769146	8	13
0	0	0	0	2765.778806			2705.679526	52.01614678	40	2
0	0	0	0	2778.705826			2705.679526	52.01614678	40	2
0	0	0	0	2779.135052			2705.79339	52.01724128	15	10
0	0	0	0	2781.057596			2705.79339	52.01724128	15	10
0	0	0	0	2781.363661			2722.925912	52.1816626	23	7
0	0	0	0	2784.170202			2722.925912	52.1816626	23	7
0	0	0	0	2784.363574			2724.281089	52.19464617	29	5
0	0	0	0	2792.909343			2724.281089	52.19464617	29	5
0	0	0	0	2794.455447			2724.817205	52.19978166	36	3
0	0	0	0	2795.070968			2724.817205	52.19978166	36	3
0	0	0	0	2795.421095			2733.1413	52.2794539	6	14
0	0	0	0	2813.239283			2733.1413	52.2794539	6	14