Euclidean Disc with Neumann Boundary Conditions

The region examined here is the Euclidean Disc of radius 1 with Neumann 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 derivatives of 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 550 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 550 values were used here.

Below is the Eigenvalue spectrum for the Euclidean Disc of radius 1 under Neumann 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.

Euclidean Disc, r =1, Neumann Conditions
	Refinements
Initial	1	2	3	4		Predicted	True Value	Bessel Zero	k	n
1.42E-14	3.06E-13	1.99E-13	0	0		0	0	0	0	1
3.426961277	3.399294229	3.39230016	3.390544025	3.390104348		3.389962052	3.389957717	1.841183781	1	1
3.427903785	3.399546165	3.39236476	3.390560313	3.390108431		3.389962185	3.389957717	1.841183781	1	1
9.523476565	9.377662911	9.340740601	9.331462003	9.329138258		9.328386207	9.328363214	3.054236928	2	1
9.530112909	9.379273998	9.341141216	9.331562058	9.329163268		9.328386929	9.328363214	3.054236928	2	1
15.22363014	14.81751582	14.71592573	14.69046729	14.68409552		14.68203337	14.68197064	3.83170597	0	2
18.25997294	17.80443307	17.68878286	17.65970222	17.6524181		17.65006069	17.64998852	4.201188941	3	1
18.27694615	17.80802908	17.68964651	17.65991601	17.65247142		17.65006207	17.64998852	4.201188941	3	1
29.79727581	28.65965397	28.37254185	28.30044528	28.28239224		28.2765496	28.27637125	5.317553126	4	1
29.81165149	28.66344912	28.37354754	28.30070159	28.28245664		28.27655188	28.27637125	5.317553126	4	1
30.20620747	28.86848451	28.53545015	28.45209504	28.4312375		28.42448722	28.42428205	5.331442774	1	2
30.28435778	28.88812617	28.54037749	28.45332815	28.43154586		28.42449629	28.42428205	5.331442774	1	2
44.36727615	41.96567509	41.36194738	41.21062963	41.17276114		41.16050547	41.16013348	6.415616376	5	1
44.42916825	41.97770946	41.36480694	41.21133628	41.17293729		41.16050993	41.16013348	6.415616376	5	1
49.38899367	46.06603804	45.24551899	45.04057279	44.98931388		44.97272457	44.97222242	6.706133194	2	2
49.49388736	46.08769371	45.25056188	45.04180475	44.98961969		44.97273064	44.97222242	6.706133194	2	2
54.60857013	50.53987997	49.54768885	49.3007289	49.23902433		49.21905442	49.21845632	7.01558667	0	3
62.30915146	57.78140768	56.64736676	56.36363169	56.29265781		56.269688	56.26899377	7.501266145	6	1
62.45641431	57.8050268	56.6526161	56.36490211	56.29297256		56.26969346	56.26899377	7.501266145	6	1
72.92806673	66.38912145	64.77895748	64.37772529	64.2774466		64.24499264	64.24401773	8.015236598	3	2
73.26275412	66.45381297	64.79429184	64.38151363	64.27839111		64.24501679	64.24401773	8.015236598	3	2
84.04014053	75.61290722	73.55161872	73.03930938	72.91134766		72.86993443	72.86869711	8.536316366	1	3
84.07899322	75.78669941	73.59471363	73.05005089	72.91403137		72.87001034	72.86869711	8.536316366	1	3
84.35248153	76.18909331	74.22986024	73.74185791	73.61992196		73.5804589	73.57927884	8.57783649	7	1
84.85625877	76.23645321	74.24153059	73.74475892	73.62064659		73.58047918	73.57927884	8.57783649	7	1
101.5482274	89.94002554	87.10276911	86.3976737	86.22157428		86.16458189	86.1628808	9.282396285	4	2
101.9492749	90.03433128	87.12522442	86.4032136	86.2229547		86.16461614	86.1628808	9.282396285	4	2
110.1150502	97.30227965	94.12272914	93.33481324	93.1382373		93.07461794	93.07274453	9.647421652	8	1
110.4747521	97.36339425	94.14261432	93.34009335	93.13957974		93.074686	93.07274453	9.647421652	8	1
120.1898873	104.4861914	100.6558098	99.70626928	99.46926823		99.39256579	99.39028868	9.969467823	2	3
121.1472891	104.7191718	100.7135112	99.72067497	99.47286958		99.39267044	99.39028868	9.969467823	2	3
127.4315955	109.3220372	104.9411373	103.859137	103.5893394		103.5020227	103.4994539	10.17346814	0	4
135.6652413	116.8251246	112.1964963	111.0491925	110.7628788		110.670217	110.6674728	10.51986087	5	2
136.6428163	117.013561	112.2400035	111.0598516	110.7655303		110.6702769	110.6674728	10.51986087	5	2
141.0421061	121.2592008	116.3538113	115.1388231	114.835777		114.7376999	114.7348177	10.71143397	9	1
141.4986389	121.3291058	116.369992	115.1428188	114.8367746		114.7377272	114.7348177	10.71143397	9	1
163.2469995	137.2775685	130.8515472	129.259621	128.8623738		128.7338097	128.7299985	11.34592431	3	3
164.7266654	137.5801975	130.9190547	129.2759103	128.8664047		128.7338733	128.7299985	11.34592431	3	3
174.8519516	146.8930219	139.4864448	137.6436546	137.1837823		137.0349504	137.0305508	11.7060049	1	4
176.3756462	147.0820135	139.6023451	137.672538	137.1909798		137.0351295	137.0305508	11.7060049	1	4
177.2231617	147.4831311	140.064404	138.2964722	137.8556171		137.7129398	137.7087218	11.73493595	6	2
178.7282735	147.7310976	140.1472203	138.3147848	137.8600388		137.712866	137.7087218	11.73493595	6	2
179.229334	148.1415655	140.9195384	139.143404	138.7009094		138.5577015	138.5535377	11.77087667	10	1
180.1653124	148.4555106	140.9869117	139.1592133	138.7047974		138.5577313	138.5535377	11.77087667	10	1
213.057555	174.0528127	164.1046613	161.6473374	161.0348346		160.8366056	160.8308017	12.68190844	4	3
213.8375779	174.3674685	164.1855598	161.6676567	161.0399226		160.8367642	160.8308017	12.68190844	4	3
218.6130635	178.289036	167.9190477	165.3660691	164.7305046		164.524812	164.5188772	12.82649123	11	1
220.2677553	178.4238115	167.9451287	165.3721972	164.7320132		164.5248256	164.5188772	12.82649123	11	1
223.6191623	181.4889576	170.7637443	168.1230869	167.4655733		167.2527772	167.2466138	12.93238624	7	2
225.6408031	181.6761495	170.7899037	168.1284508	167.4668403		167.2527183	167.2466138	12.93238624	7	2
234.2561405	189.0578198	177.3004867	174.4155017	173.6976771		173.465362	173.4586685	13.17037086	2	4
235.7119739	189.6253823	177.4461146	174.4518736	173.706761		173.4656146	173.4586685	13.17037086	2	4
241.2498952	194.21786	181.6405012	178.5470099	177.7771184		177.5279526	177.5207668	13.32369194	0	5
264.3833387	211.7209949	197.3360759	193.7960219	192.9154258		192.6304318	192.622285	13.87884307	12	1
265.6129888	211.8348617	197.353313	193.7999065	192.9163764		192.6304329	192.622285	13.87884307	12	1
267.698905	214.8344614	200.403417	196.8292874	195.9382621		195.6498929	195.6414458	13.98718863	5	3
272.66372	215.4576876	200.5210372	196.8572099	195.9451718		195.650002	195.6414458	13.98718863	5	3
275.3663273	219.4408629	204.2125288	200.482971	199.5562819		199.2563705	199.247874	14.11551891	8	2
281.9101096	220.0259623	204.318952	200.5076857	199.5623508		199.2564049	199.247874	14.11551891	8	2
292.0979571	235.0194925	218.2760471	214.1263629	213.0916729		212.7568084	212.7469702	14.58584829	3	4
296.4939503	236.3264902	218.5821683	214.201069	213.1102289		212.757192	212.7469702	14.58584829	3	4
304.0035277	245.8240286	227.1074502	222.4674565	221.3113354		220.9371711	220.9262671	14.86358863	1	5
310.3432603	246.2387571	227.1873314	222.4861276	221.315928		220.9372074	220.9262671	14.86358863	1	5
316.1888166	248.8524928	229.228789	224.4400689	223.2517045		222.867105	222.856365	14.92837449	13	1
319.4916159	248.9501139	229.2562102	224.4471477	223.2534876		222.8671744	222.856365	14.92837449	13	1
322.9201411	259.2144712	239.6977234	234.7768543	233.5331185		233.1305989	233.1173651	15.26818146	6	3
332.5230962	260.5648975	239.8809438	234.8121377	233.5418833		233.1307812	233.1173651	15.26818146	6	3
339.1890255	262.4022981	240.5813343	235.3702259	234.1030967		233.6930061	233.6843485	15.28673767	9	2
345.6935762	262.8269905	240.7767478	235.4416363	234.1225596		233.6956568	233.6843485	15.28673767	9	2
348.5126902	286.3971562	262.7261638	256.8185721	255.3440867		254.8668877	254.8527135	15.96410704	4	4
359.0553121	287.5012505	262.9393694	256.8680637	255.3562021		254.8669069	254.8527135	15.96410704	4	4
368.1303352	289.6849603	263.6498151	257.3086791	255.7371902		255.2285973	255.2146451	15.97543881	14	1
371.3156536	289.8066055	263.6834292	257.317312	255.7393896		255.2287146	255.2146451	15.97543881	14	1
374.1467323	302.0540007	275.9825985	269.426343	267.7877222		267.2574029	267.2414859	16.34752232	2	5
382.1581048	304.8890948	276.65519	269.590984	267.8285989		267.2582249	267.2414859	16.34752232	2	5
389.6237778	307.217551	279.6239622	272.7989995	271.0982962		270.5478846	270.53186	16.44785275	10	2
397.4810226	308.4549959	279.8555817	272.8531813	271.1116211		270.5479867	270.53186	16.44785275	10	2
398.6078046	310.103736	280.8043818	273.6471029	271.8720699		271.2976025	271.2816543	16.47063005	0	6
402.9260693	311.406815	282.4825142	275.5124935	273.7916419		273.2347096	273.2199365	16.52936588	7	3
412.5946041	312.4768183	282.5932189	275.5339282	273.7967342		273.234513	273.2199365	16.52936588	7	3
419.3392366	334.5504126	300.6696299	292.413543	290.3704944		289.7092871	289.6914043	17.02032327	15	1
424.1493387	334.6557365	300.6796063	292.4169522	290.3714081		289.7093931	289.6914043	17.02032327	15	1
429.1605372	343.0111822	310.5757093	302.4433072	300.4116735		299.7541604	299.734515	17.31284249	5	4
430.276463	344.6167102	310.8353024	302.498924	300.4249985		299.7537983	299.734515	17.31284249	5	4
438.0931407	358.4150821	321.7405048	312.7464852	310.5126987		309.7897615	309.7693829	17.60026656	11	2
451.7915265	359.8006974	322.0154636	312.8105699	310.5284215		309.7898324	309.7693829	17.60026656	11	2
460.0525784	364.7540912	327.9570472	318.922901	316.6692431		315.9398747	315.9155156	17.77401237	8	3
463.1061125	365.3145394	328.2439545	319.0205768	316.6935907		315.9404905	315.9155156	17.77401237	8	3
469.5256934	369.0380767	329.0411816	319.5254606	317.2069371		316.4565758	316.4395506	17.78874787	3	5
473.3562221	372.1615154	330.0786746	319.8096807	317.2774243		316.457891	316.4395506	17.78874787	3	5
483.0352892	378.8758273	338.3799875	327.9880043	325.4147915		324.5820031	324.5592442	18.01552786	1	6
494.1447619	381.0721831	338.563015	328.0262274	325.4239137		324.5817072	324.5592442	18.01552786	1	6
497.9341215	382.2426056	339.4852657	329.5699957	327.1027211		326.3042183	326.2815422	18.06326499	16	1
513.9042412	389.6226868	341.2110384	329.9552316	327.1963349		326.3034523	326.2815422	18.06326499	16	1
517.611068	406.8519002	362.0828359	351.0227294	348.2706259		347.3799417	347.3542819	18.63744301	6	4
522.2620511	407.2776276	362.1562813	351.0386771	348.2744725		347.3798719	347.3542819	18.63744301	6	4
528.9985286	414.4232052	366.8905572	355.2315942	352.3401401		351.4043569	351.3784335	18.74509092	12	2
530.8979137	415.7516622	367.082152	355.2722404	352.3498767		351.4040899	351.3784335	18.74509092	12	2
540.4718884	427.0796466	377.2432697	365.1599113	362.1690326		361.2010719	361.1745755	19.00459354	9	3
543.97865	428.3637152	377.612784	365.2534216	362.192377		361.2017079	361.1745755	19.00459354	9	3
555.3677601	437.4331856	382.5904382	369.3338277	366.0656056		365.0078861	364.9804775	19.10446224	17	1
560.9327856	439.2289805	382.8855948	369.3996	366.0815967		365.0077662	364.9804775	19.10446224	17	1
568.9905141	439.5643952	385.8030337	372.7727913	369.5561471		368.5151202	368.4875217	19.1960288	4	5
573.8101227	440.1548636	386.0641477	372.8587713	369.5789484		368.5174745	368.4875217	19.1960288	4	5
578.833052	455.7172076	399.1246375	385.3110496	381.8909146		380.7840304	380.7537653	19.51291278	2	6
584.4898003	459.5172986	400.3853617	385.6307821	381.9708577		380.7863686	380.7537653	19.51291278	2	6
594.9335505	465.2429493	404.3451525	389.6229337	385.9890806		384.8130291	384.7819051	19.61585851	0	7
599.2461547	474.2395718	414.8703996	400.1976404	396.5546182		395.3755993	395.342611	19.88322436	13	2
600.9272036	477.1738407	415.3545026	400.2989314	396.5787827		395.3748027	395.342611	19.88322436	13	2
615.9375347	477.5090445	417.0897143	402.4939192	398.8795506		397.709805	397.6775157	19.94185337	7	4
624.8614286	478.0995483	417.1811367	402.5126643	398.8839338		397.7095403	397.6775157	19.94185337	7	4
629.4365893	494.406444	427.6369227	411.1837521	407.1572751		405.8541557	405.784068	20.1440827	18	1
640.1816429	495.8149514	428.1617897	411.2981345	407.169204		405.8235423	405.784068	20.1440827	18	1
649.7072245	496.0221612	429.8722226	414.1388771	410.2594786		409.0039594	408.9709995	20.22303141	10	3
652.9257802	499.0619845	430.1159381	414.1987159	410.274269		409.0041705	408.9709995	20.22303141	10	3
660.568164	514.136494	445.7496216	428.9177284	424.7412249		423.3895513	423.3517978	20.57551452	5	5
673.1117558	517.6582164	446.4047594	429.0604371	424.7755387		423.3887845	423.3517978	20.57551452	5	5
674.9828732	537.0424528	464.1543764	445.9101231	441.3604044		439.8879444	439.8447889	20.97247694	3	6
714.0448773	541.2588957	465.7391331	446.3022477	441.4576251		439.8897231	439.8447889	20.97247694	3	6
745.5068152	542.0266469	466.2271364	447.7423576	443.1678855		441.6874144	441.6472446	21.01540493	14	2
755.1638597	543.7490066	466.5547568	447.812538	443.1848068		441.687099	441.6472446	21.01540493	14	2
759.3247828	552.0451278	474.0992075	454.4421966	449.553816		447.9717523	447.9305515	21.16436986	1	7
764.2547925	555.5630901	474.7748251	454.5919321	449.589361		447.970341	447.9305515	21.16436986	1	7
779.9817375	557.0033638	475.5950527	455.3210304	450.340373		448.7284451	448.6885467	21.18226963	19	1
781.4736911	558.8384012	475.9176204	455.485373	450.3801351		448.7278882	448.6885467	21.18226963	19	1
812.3962181	562.6418041	476.0814566	456.7999721	452.1990719		450.7100476	450.6730998	21.22906262	8	4
819.5834134	564.3557173	476.4257565	456.9677486	452.2422858		450.7129483	450.6730998	21.22906262	8	4
827.6690558	569.0287705	485.8222198	465.829886	460.9130688		459.3218019	459.2815134	21.43085424	11	3
835.5051481	570.7508695	486.1743168	465.9058912	460.9312071		459.3212123	459.2815134	21.43085424	11	3
861.8641568	597.9040421	509.9312102	488.1780213	482.7910716		481.0476522	481.0001236	21.93171502	6	5
868.1046951	600.2298893	510.1916767	488.2317713	482.8038734		481.0472016	481.0001236	21.93171502	6	5
877.7092458	613.631415	520.5807883	497.7842098	492.1515639		490.3286279	490.2791175	22.14224735	15	2
907.0188109	615.9609645	521.0533967	497.8980544	492.1797191		490.3290508	490.2791175	22.14224735	15	2
925.0296999	626.5827823	526.9477802	501.8660161	495.7243553		493.7366829	493.6904704	22.21914648	20	1
947.4018802	628.8943328	527.0658608	501.8809289	495.7271146		493.7355089	493.6904704	22.21914648	20	1
965.2364544	631.108872	533.7423745	509.8462137	503.817503		501.8663856	501.8062467	22.40103227	4	6
1042.521481	632.1408141	534.4266595	510.029558	503.864934		501.8698299	501.8062467	22.40103227	4	6
1117.815849	640.8030469	538.380063	514.1390077	508.2583324		506.3551248	506.3129447	22.50139873	9	4
1136.593023	641.2131514	538.5003757	514.2106456	508.2815681		506.3626957	506.3129447	22.50139873	9	4
1159.608464	649.990452	545.3998026	520.2732728	514.1229046		512.1324142	512.0852322	22.6293003	12	3
1191.664818	652.9765276	545.7364434	520.3353894	514.1371232		512.1311313	512.0852322	22.6293003	12	3
1200.728749	659.1030792	548.6339344	522.5006582	516.1157211		514.0493155	514.0006201	22.67158177	2	7
1244.240233	662.7102984	550.4960916	522.99171	516.2388845		514.0534163	514.0006201	22.67158177	2	7
1344.566971	672.4745119	554.5952257	526.9705631	520.2465813		518.070448	518.021441	22.76008438	0	8
0	687.1182832	577.4829948	550.250757	543.22279		540.9482757	540.786677	23.25482051	21	1
0	691.545974	578.1899495	550.3014752	543.2331011		540.9455095	540.786677	23.25482051	21	1
0	694.388065	578.5186952	550.4160203	543.5211294		541.2896836	541.402287	23.26805293	7	5
0	694.7282389	578.7697535	550.6023535	543.5602432		541.2811515	541.402287	23.26805293	7	5
0	704.9172935	581.0813956	550.7689426	543.6436317		541.3376132	541.2262485	23.26426978	16	2
0	708.6981728	581.4780018	550.876698	543.6939318		541.3693186	541.2262485	23.26426978	16	2
0	719.4280541	602.8885966	574.1857516	566.9864494		564.6564846	564.5716182	23.76071586	10	4
0	721.2311165	603.2873942	574.3120739	567.0228553		564.6637901	564.5716182	23.76071586	10	4
0	736.1109649	608.3181804	576.9253091	569.1719923		566.6627275	566.6104911	23.80358148	5	6
0	736.4845958	608.6200606	577.1098908	569.2164741		566.6618677	566.6104911	23.80358148	5	6
0	740.275311	609.0284476	577.4573943	569.8672051		567.4107345	567.3632966	23.81938909	13	3
0	745.4128475	609.9227481	577.5541068	569.8885405		567.407675	567.3632966	23.81938909	13	3
0	762.0169493	627.0962006	593.8877465	585.6963989		583.0453709	582.976072	24.14489743	3	7
0	769.821977	629.1379433	594.3927525	585.8220692		583.0482739	582.976072	24.14489743	3	7
0	774.7457392	637.1860876	601.6914872	592.8941123		590.0469511	589.9742501	24.28938554	22	1
0	778.6300385	637.6373457	601.8070496	592.9208526		590.0449452	589.9742501	24.28938554	22	1
0	783.0061838	638.0052968	602.5335502	593.8984771		591.1038428	591.0406136	24.31132686	1	8
0	783.4623184	638.5560984	602.6670453	593.9300722		591.1024593	591.0406136	24.31132686	1	8
0	785.1769621	640.2372248	605.6188283	597.2483201		594.5393089	594.4777157	24.3819137	17	2
0	790.4536186	640.5772541	605.7424908	597.2781361		594.5387528	594.4777157	24.3819137	17	2
0	791.5602161	649.663553	615.6397393	607.2974933		604.5976289	604.5302802	24.58719749	8	5
0	795.3192123	651.1249871	616.0157569	607.390983		604.599682	604.5302802	24.58719749	8	5
0	813.4729941	671.7245941	636.7612034	628.072079		625.2599517	625.0985789	25.0019715	14	3
0	821.348674	673.2970973	637.0921335	628.1309195		625.2307338	625.0985789	25.0019715	14	3
0	832.4944614	676.3249458	637.8525737	628.4570957		625.4163658	625.4260078	25.0085187	11	4
0	836.146169	676.8825348	637.974786	628.5053851		625.440731	625.4260078	25.0085187	11	4
0	843.8585461	685.7902714	646.9157955	637.3876788		634.3040221	634.2301086	25.1839256	6	6
0	848.0321722	686.8870099	647.1841646	637.4534435		634.3042163	634.2301086	25.1839256	6	6
0	863.9842736	698.1189121	655.2284442	644.7276637		641.3292163	641.2504905	25.32292421	23	1
0	869.9533049	698.2854298	655.2676874	644.7374175		641.3294263	641.2504905	25.32292421	23	1
0	873.2895251	704.2502834	663.3342829	653.335037		650.0989052	650.0235137	25.49555871	18	2
0	875.447711	705.2483124	663.5414115	653.3840603		650.0967596	650.0235137	25.49555871	18	2
0	877.1650732	710.6994105	668.6799728	658.2877668		654.9244583	654.8358006	25.58975968	4	7
0	882.6135345	711.715076	668.9528496	658.3591749		654.9306635	654.8358006	25.58975968	4	7
0	895.3354987	724.6071204	681.2298577	670.5286548		667.0653432	666.9841944	25.82603714	2	8
0	898.4844467	726.1843351	682.0755262	670.7447786		667.0777228	666.9841944	25.82603714	2	8
0	905.1464923	726.8822508	684.1723505	673.7987505		670.4414635	670.358239	25.89127728	9	5
0	910.3126955	729.0551293	684.2456553	673.8099813		670.4326049	670.358239	25.89127728	9	5
0	918.4220785	732.7855022	686.0221188	674.7237512		671.0671747	671.0002276	25.90367209	0	9
0	922.3709251	743.3028565	699.7984594	688.910805		685.3871508	685.2754433	26.1777662	15	3
0	926.7641035	744.6036999	699.9516781	688.9386736		685.3744513	685.2754433	26.1777662	15	3
0	933.0072152	749.4363416	703.6710946	692.5302434		688.9246452	688.8550238	26.24604777	12	4
0	946.3475151	750.7417749	703.7833082	692.5512467		688.9161294	688.8550238	26.24604777	12	4
0	950.1509534	760.6790881	710.8669046	698.6567377		694.7050687	694.6128907	26.35550968	24	1
0	952.3271865	763.3015462	711.3796965	698.7769652		694.6982476	694.6128907	26.35550968	24	1
0	961.5607149	767.1697669	720.077185	708.4848339		704.7331133	704.6387272	26.54503206	7	6
0	964.3211951	768.8523779	720.410873	708.5624866		704.7279033	704.6387272	26.54503206	7	6
0	972.1219106	772.3801627	723.6916206	711.7931861		707.9424054	707.8544354	26.60553392	19	2
0	983.2148106	773.517641	723.9038043	711.8424454		707.9389362	707.8544354	26.60553392	19	2
0	996.7986545	797.7611077	746.6206162	733.8237608		729.6822173	729.5567327	27.0103079	5	7
0	1002.580011	799.1042658	746.8801075	733.8786199		729.6708497	729.5567327	27.0103079	5	7
0	1012.289037	807.4286285	755.5349012	743.0041052		738.9486686	738.8622943	27.18202153	10	5
0	1018.463985	807.6535353	755.7498029	743.0647688		738.9594149	738.8622943	27.18202153	10	5
0	1025.038715	817.5646855	763.5936509	750.2603003		745.9451268	745.8392642	27.31005793	3	8
0	1030.095043	818.0995043	764.5993237	750.5125333		745.9535184	745.8392642	27.31005793	3	8
0	1033.554153	819.0310018	765.2042079	752.1969959		747.9873731	747.8795491	27.34738651	16	3
0	1044.498428	821.7455968	765.3876127	752.2436126		747.9897201	747.8795491	27.34738651	16	3
0	1050.482985	828.2309739	769.3769308	754.8576502		750.1586651	750.0591141	27.38720713	25	1
0	1052.259759	828.7667997	769.4354051	754.8718832		750.1585801	750.0591141	27.38720713	25	1
0	1055.307002	829.1901201	772.5431512	758.5273672		753.9913326	753.8896261	27.45705057	1	9
0	1057.985389	829.3759785	772.568502	758.5887153		754.0643308	753.8896261	27.45705057	1	9
0	1060.471116	830.2445743	772.8434328	759.2810664		754.8917748	754.8393448	27.47433975	13	4
0	1062.454931	832.1262448	773.0546452	759.3089405		754.8603137	754.8393448	27.47433975	13	4
0	1069.673211	844.6732647	786.7521448	772.6315972		768.0616572	767.9619742	27.71212684	20	2
0	1074.015366	845.0565438	786.7952929	772.6397575		768.0584941	767.9619742	27.71212684	20	2
0	1080.026022	853.1694276	796.2924215	782.4092882		777.9161844	777.8113492	27.88926943	8	6
0	1085.353052	855.7427358	796.9845593	782.5825609		777.9215328	777.8113492	27.88926943	8	6
0	1118.146966	887.4119173	827.5102618	812.2437665		807.3029547	807.115393	28.40977636	6	7
0	1126.204473	888.39191	827.8397151	812.3557903		807.3446102	807.115393	28.40977636	6	7
0	1134.331339	894.2740733	830.0898529	813.1788128		807.7057645	807.5869773	28.41807483	26	1
0	1138.472643	894.7888375	830.1179049	813.1818698		807.7007323	807.5869773	28.41807483	26	1
0	1141.655496	896.1767736	830.2482177	814.984934		810.0451616	810.0203971	28.46085728	11	5
0	1145.845403	897.4344038	830.5039752	815.0751896		810.0818545	810.0203971	28.46085728	11	5
0	1159.671641	899.9534931	833.3196866	817.9820782		813.0182515	812.8976876	28.51136068	17	3
0	1161.540348	899.9976133	833.6204577	818.050837		813.0119224	812.8976876	28.51136068	17	3
0	1165.092913	911.1486741	844.7827838	828.67888		823.4670514	823.361201	28.69427122	14	4
0	1167.11778	911.7708474	844.8749999	828.6976711		823.4620794	823.361201	28.69427122	14	4
0	1172.157446	916.8758446	849.6114601	833.0744117		827.7224012	827.5884006	28.76783622	4	8
0	1172.669376	918.9057207	850.1932067	833.2231979		827.7310651	827.5884006	28.76783622	4	8
0	1175.078338	920.3111248	852.3267725	835.7977888		830.4483883	830.338242	28.81559026	21	2
0	1180.458082	920.9278412	852.4465539	835.826032		830.4470063	830.338242	28.81559026	21	2
0	1184.690551	931.0867701	862.1259916	845.2771153		839.8241855	839.7055193	28.97767277	2	9
0	1189.302787	937.0370709	863.6248997	845.6469383		839.8285941	839.7055193	28.97767277	2	9
0	1198.673655	938.9945222	867.1865164	849.5466585		843.8377374	843.7182479	29.04682853	0	10
0	1206.469487	945.946156	876.1752816	859.3027297		853.8421377	853.724453	29.2185635	9	6
0	1211.828008	946.9920803	876.3909933	859.3538598		853.840003	853.724453	29.2185635	9	6
0	1244.681004	974.204588	893.2800887	873.6666538		867.319009	867.1944343	29.44816521	27	1
0	1251.513	974.3898102	893.2976051	873.6701769		867.3180033	867.1944343	29.44816521	27	1
0	1258.176333	976.8882282	904.2312055	886.276729		880.4659855	880.3176449	29.67014737	18	3
0	1261.052933	978.265806	904.474339	886.3308788		880.458973	880.3176449	29.67014737	18	3
0	1266.921036	978.7508884	907.3929742	889.7265771		884.0090669	883.812143	29.72897817	12	5
0	1270.908805	979.9254203	907.5024295	889.7403731		883.9919039	883.812143	29.72897817	12	5
0	1273.978919	989.1735144	912.3418942	893.6441395		887.5928432	887.4887011	29.79074858	7	7
0	1278.567471	991.462539	912.9087675	893.7806906		887.5901258	887.4887011	29.79074858	7	7
0	1284.417161	997.5052394	919.5929514	900.685271		894.5660349	894.4041898	29.90659108	15	4
0	1290.499586	998.2334049	919.7600148	900.7154513		894.5519147	894.4041898	29.90659108	15	4
0	1297.279129	1001.420834	920.8229393	901.359056		895.0598118	894.9758998	29.91614781	22	2
0	1299.233687	1001.97645	920.9085687	901.3725534		895.0499645	894.9758998	29.91614781	22	2
0	1308.439437	1019.00613	938.9154207	918.8899664		912.4089766	912.2120925	30.20284908	5	8
0	1312.833487	1022.195387	939.3457175	918.9630353		912.3664331	912.2120925	30.20284908	5	8
0	1318.927499	1037.873521	955.6525878	935.2282164		928.618122	928.4372811	30.47026881	3	9
0	1321.794657	1041.408654	957.4014596	935.6550904		928.6171479	928.4372811	30.47026881	3	9
0	1329.862204	1042.289563	958.8363157	936.328618		929.0442809	928.8795633	30.47752554	28	1
0	1339.423764	1045.217794	958.9472485	936.3402957		929.0238359	928.8795633	30.47752554	28	1
0	1350.958112	1052.423202	959.0717917	938.9585627		932.4491657	932.3559806	30.53450475	10	6
0	1358.179171	1052.650169	959.2030055	939.0418986		932.5170065	932.3559806	30.53450475	10	6
0	1364.296852	1055.345912	965.34854	943.6265119		936.5964471	936.4776896	30.60192297	1	10
0	1370.270131	1058.362653	965.7918798	943.6974989		936.5469267	936.4776896	30.60192297	1	10
0	1374.937374	1063.771449	978.0617007	957.0790016		950.2882114	950.1280876	30.8241478	19	3
0	1381.54911	1064.219895	978.1430298	957.0979787		950.287009	950.1280876	30.8241478	19	3
0	1386.663292	1072.658503	988.1532798	967.2075608		960.4287387	960.2186075	30.98739433	13	5
0	1389.18073	1073.892336	988.288307	967.2323358		960.417832	960.2186075	30.98739433	13	5
0	1391.461903	1082.392863	991.3828788	969.2014857		962.0227531	961.8680986	31.01399843	23	2
0	1398.715135	1083.575219	991.630826	969.2600833		962.0200701	961.8680986	31.01399843	23	2
0	1403.769632	1089.606969	997.8760958	975.3408055		968.0475385	967.9531178	31.11194494	16	4
0	1415.210395	1092.276407	998.1958814	975.4240399		968.0542159	967.9531178	31.11194494	16	4
0	1429.368869	1093.259869	999.5597449	977.8150936		970.777707	970.6543728	31.15532656	8	7
0	1434.42222	1093.906734	1000.981405	978.1898602		970.8136596	970.6543728	31.15532656	8	7
0	1440.017778	1127.067486	1027.079133	1001.175276		992.7918145	992.640555	31.50619868	29	1
0	1446.837893	1128.059883	1027.160364	1001.192571		992.7884176	992.640555	31.50619868	29	1
0	1450.517198	1134.361794	1031.44826	1007.620003		999.908283	999.6900648	31.61787572	6	8
0	1457.076139	1134.919814	1031.953496	1007.758155		999.9276333	999.6900648	31.61787572	6	8
0	1464.116812	1142.803855	1045.132169	1021.475282		1013.819024	1013.685272	31.83842446	11	6
0	1472.558564	1145.038762	1045.395161	1021.55014		1013.832995	1013.685272	31.83842446	11	6
0	1480.46969	1153.135276	1053.15932	1028.325061		1020.287761	1020.070295	31.93853934	4	9
0	1482.820347	1153.793125	1054.472218	1028.641456		1020.281651	1020.070295	31.93853934	4	9
0	1487.097131	1154.883876	1054.561576	1030.336139		1022.495877	1022.318465	31.97371522	20	3
0	1487.604184	1159.87716	1054.796509	1030.391583		1022.493232	1022.318465	31.97371522	20	3
0	1495.806567	1167.647091	1064.977018	1039.439358		1031.174412	1031.008428	32.10931996	24	2
0	1507.954462	1169.45087	1065.323355	1039.521435		1031.170964	1031.008428	32.10931996	24	2
0	1519.824485	1171.481511	1065.88054	1040.540559		1032.339588	1032.165141	32.12732702	2	10
0	1524.600552	1171.867854	1068.285855	1041.120498		1032.328767	1032.165141	32.12732702	2	10
0	1526.675056	1175.907635	1071.5186	1044.925146		1036.318505	1036.175493	32.18967991	0	11
0	1529.194056	1178.931916	1071.939427	1047.410678		1039.472252	1039.222197	32.23696941	14	5
0	1534.0904	1182.475278	1072.333733	1047.477157		1039.432635	1039.222197	32.23696941	14	5
0	1541.350316	1188.628974	1078.85774	1052.592051		1044.091486	1043.993867	32.31089394	17	4
0	1548.618844	1191.315669	1079.486429	1052.730211		1044.070893	1043.993867	32.31089394	17	4
0	1560.958748	1197.652139	1091.070583	1065.156728		1056.770031	1056.591105	32.50524735	9	7
0	1565.105845	1200.37672	1091.571392	1065.265502		1056.751927	1056.591105	32.50524735	9	7
0	1568.671227	1220.784279	1097.82744	1068.219486		1058.637239	1058.475702	32.53422356	30	1
0	1573.944741	1220.913096	1097.858759	1068.226844		1058.636842	1058.475702	32.53422356	30	1
0	1581.056308	1235.486015	1126.906324	1099.292068		1090.355056	1090.002021	33.01517864	7	8
0	1588.752482	1240.287693	1127.880477	1099.493646		1090.3066	1090.002021	33.01517864	7	8
0	1590.66903	1247.815571	1133.893831	1106.0962		1097.099841	1096.878925	33.11916251	21	3
0	1603.938353	1249.101902	1134.133523	1106.150497		1097.094138	1096.878925	33.11916251	21	3
0	1609.321871	1252.29572	1134.78951	1106.832189		1097.784149	1097.692976	33.13144995	12	6
0	1618.657195	1253.609532	1135.077599	1106.884276		1097.759857	1097.692976	33.13144995	12	6
0	1621.745005	1261.729808	1141.328127	1112.042655		1102.564776	1102.390875	33.20227214	25	2
0	1622.77308	1264.066879	1141.741744	1112.13911		1102.558584	1102.390875	33.20227214	25	2
0	1624.21141	1272.994441	1154.357123	1124.538421		1114.887967	1114.587864	33.3854439	5	9
0	1630.248857	1275.11385	1154.937726	1124.613854		1114.799909	1114.587864	33.3854439	5	9
0	1633.641363	1276.695457	1158.795436	1130.35295		1121.147893	1120.806513	33.47844849	15	5
0	1642.216783	1278.917157	1159.062166	1130.381577		1121.09946	1120.806513	33.47844849	15	5
0	1645.893096	1290.701194	1163.294218	1132.546463		1122.595333	1122.51328	33.50392932	18	4
0	1650.480628	1293.737589	1163.770522	1132.622068		1122.541257	1122.51328	33.50392932	18	4
0	1653.939959	1294.508853	1171.073259	1137.449353		1126.567393	1126.383392	33.56163572	31	1
0	1659.608304	1301.213489	1171.11341	1137.4643		1126.574184	1126.383392	33.56163572	31	1
0	1667.08655	1308.106287	1171.16696	1140.815476		1130.992595	1130.771711	33.62694918	3	10
0	1679.08579	1310.490239	1173.378544	1141.399109		1131.049361	1130.771711	33.62694918	3	10
0	1682.663229	1311.203141	1181.295985	1149.333711		1138.989518	1138.80486	33.7461829	1	11
0	1689.022695	1311.841161	1181.490845	1149.387554		1138.997722	1138.80486	33.7461829	1	11
0	1696.295973	1314.933579	1185.683078	1155.284591		1145.446497	1145.278648	33.84196578	10	7
0	1700.733637	1320.897645	1186.427427	1155.399896		1145.35822	1145.278648	33.84196578	10	7
0	1707.370661	1346.196114	1216.101999	1184.327086		1174.04353	1173.800245	34.2607683	22	3
0	1714.677571	1348.34486	1216.537766	1184.429703		1174.038327	1173.800245	34.2607683	22	3
0	1723.073743	1349.268167	1220.412936	1187.000826		1176.187411	1176.009782	34.29299903	26	2
0	1737.030642	1353.913347	1220.962571	1187.132975		1176.184446	1176.009782	34.29299903	26	2
0	1738.002727	1358.086912	1224.257996	1193.59698		1183.673923	1183.128056	34.39662855	8	8
0	1741.234086	1361.440711	1225.756004	1194.125716		1183.888965	1183.128056	34.39662855	8	8
0	1753.503475	1367.976207	1229.007435	1195.148569		1184.190567	1184.360953	34.41454566	13	6
0	1761.230572	1368.852134	1229.360751	1195.231807		1184.186398	1184.360953	34.41454566	13	6
0	1772.870917	1383.902764	1245.894233	1208.639026		1196.58184	1196.362095	34.58846766	32	1
0	1780.191011	1385.177773	1247.997878	1209.145959		1196.572017	1196.362095	34.58846766	32	1
0	1782.191439	1398.142641	1248.125147	1214.819034		1204.039924	1203.499058	34.69148395	19	4
0	1789.221526	1398.986895	1248.381909	1214.853167		1204.002005	1203.499058	34.69148395	19	4
0	1798.598294	1400.038495	1251.695226	1216.236574		1204.760821	1204.956239	34.71247959	16	5
0	1807.138699	1400.657774	1252.009109	1216.383604		1204.853852	1204.956239	34.71247959	16	5
0	1812.566847	1403.526435	1258.441042	1223.563189		1212.275405	1211.972331	34.81339298	6	9
0	1821.472112	1413.321076	1259.843971	1223.925107		1212.300412	1211.972331	34.81339298	6	9
0	1825.535285	1424.869645	1280.521357	1244.322589		1232.607307	1232.284966	35.10391668	4	10
0	1830.209298	1428.762281	1282.092435	1244.805715		1232.738331	1232.284966	35.10391668	4	10
0	1838.050626	1431.147818	1283.770497	1248.276862		1236.789787	1236.697804	35.16671443	11	7
0	1841.615116	1438.044614	1284.073368	1248.430751		1236.89546	1236.697804	35.16671443	11	7
0	1847.742114	1445.424286	1293.660466	1256.568328		1244.563917	1244.363373	35.27553505	2	11
0	1854.319983	1450.131486	1297.325978	1257.469365		1244.570266	1244.363373	35.27553505	2	11
0	1856.154105	1451.288975	1300.32879	1261.154558		1248.476304	1248.371957	35.33230755	0	12
0	1858.356756	1457.922563	1301.015318	1264.318669		1252.442254	1251.859818	35.38163108	27	2
0	1865.099601	1460.64494	1301.236808	1264.341454		1252.40073	1251.859818	35.38163108	27	2
0	1872.598804	1461.129683	1303.036721	1265.186576		1252.936847	1253.073765	35.39878197	23	3
0	1884.312298	1463.958631	1303.095246	1265.217157		1252.958383	1253.073765	35.39878197	23	3
0	1888.015039	1470.403866	1322.106995	1282.51725		1269.70452	1268.410362	35.61474922	33	1
0	1901.985313	1473.641663	1322.3462	1282.559657		1269.683236	1268.410362	35.61474922	33	1
0	1912.712668	1488.263944	1325.499643	1285.84586		1273.012405	1273.672179	35.68854409	14	6
0	1914.053919	1495.028244	1325.68756	1285.853063		1272.961122	1273.672179	35.68854409	14	6
0	1918.617608	1496.593136	1330.201492	1291.697251		1279.235831	1279.048885	35.76379293	9	8
0	1929.779395	1499.053346	1331.262625	1291.888325		1279.145321	1279.048885	35.76379293	9	8
0	1937.837841	1504.756459	1338.852823	1299.938945		1287.344951	1286.939679	35.8739415	20	4
0	1951.42141	1506.142377	1339.374277	1300.071332		1287.351421	1286.939679	35.8739415	20	4
0	1954.359209	1513.741182	1344.664029	1304.637069		1291.68284	1291.657029	35.93963034	17	5
0	1961.986294	1515.986334	1345.018494	1304.702475		1291.654696	1291.657029	35.93963034	17	5
0	1964.152901	1527.632245	1366.711715	1325.865829		1312.646565	1312.205746	36.22438055	7	9
0	1970.151612	1534.199359	1367.67668	1326.052369		1312.581178	1312.205746	36.22438055	7	9
0	1976.640945	1553.975846	1384.914385	1344.01779		1330.782115	1329.935946	36.46828685	28	2
0	1983.407551	1555.345825	1385.427915	1344.060845		1330.672907	1329.935946	36.46828685	28	2
0	1985.75318	1558.193689	1386.663365	1344.279797		1330.562881	1330.830404	36.4805483	12	7
0	1994.594094	1558.779214	1386.865052	1344.33408		1330.569459	1330.830404	36.4805483	12	7
0	1998.54437	1565.689464	1390.174508	1348.390206		1334.867235	1334.69134	36.5334277	24	3
0	2009.89874	1567.222464	1390.458026	1348.423463		1334.819497	1334.69134	36.5334277	24	3
0	2016.109718	1569.311206	1394.064743	1351.062541		1337.145412	1336.690465	36.56077769	5	10
0	2021.137974	1576.562438	1395.539841	1351.25851		1336.927406	1336.690465	36.56077769	5	10
0	2024.734294	1587.383585	1406.58437	1358.350718		1342.740495	1342.526815	36.64050785	34	1
0	2034.710826	1590.92342	1407.045764	1358.449195		1342.721518	1342.526815	36.64050785	34	1
0	2038.455631	1594.360391	1410.88497	1367.269341		1353.153683	1352.843482	36.78102068	3	11
0	2044.308585	1600.238944	1414.266577	1368.201874		1353.293604	1352.843482	36.78102068	3	11
0	2047.635999	1607.401247	1420.958353	1375.970506		1361.410748	1360.871171	36.88998741	1	12
0	2050.139884	1610.715391	1421.509629	1376.111885		1361.419469	1360.871171	36.88998741	1	12
0	2060.741901	1611.835151	1422.644131	1379.606456		1365.677847	1365.610655	36.95416965	15	6
0	2065.703856	1613.99929	1423.575751	1379.663711		1365.452124	1365.610655	36.95416965	15	6
0	2068.289394	1616.170544	1432.111891	1387.599507		1373.193626	1372.824317	37.05164392	21	4
0	2075.776158	1619.210044	1432.789054	1387.774989		1373.206746	1372.824317	37.05164392	21	4
0	2088.323581	1621.913438	1436.840723	1392.331711		1377.926921	1377.745955	37.11800042	10	8
0	2091.47277	1631.977854	1437.792378	1392.515916		1377.862751	1377.745955	37.11800042	10	8
0	2100.072807	1636.062835	1441.707846	1395.815034		1380.962395	1380.89542	37.16040124	18	5
0	2108.324676	1636.364101	1441.892237	1395.868162		1380.973041	1380.89542	37.16040124	18	5
0	2116.902261	1661.553745	1474.080536	1426.093422		1410.562989	1410.233399	37.55307443	29	2
0	2121.162031	1666.622035	1474.439645	1426.181422		1410.563247	1410.233399	37.55307443	29	2
0	2125.287075	1668.515169	1477.040663	1430.778437		1415.806242	1415.270272	37.62007804	8	9
0	2130.740863	1670.228943	1479.899611	1431.527077		1415.871907	1415.270272	37.62007804	8	9
0	2131.643497	1680.145878	1481.341255	1434.122346		1418.840532	1418.645287	37.6649079	25	3
0	2146.77041	1680.786763	1481.511136	1434.178095		1418.859344	1418.645287	37.6649079	25	3
0	2158.409332	1690.904746	1490.390329	1436.400784		1418.927737	1418.710143	37.66576885	35	1
0	2169.930414	1691.768462	1490.538646	1436.575591		1419.111118	1418.710143	37.66576885	35	1
0	2170.108413	1713.080894	1490.773088	1443.105375		1427.678311	1427.659259	37.78437851	13	7
0	0	1715.371315	1491.237854	1443.141574		1427.57581	1427.659259	37.78437851	13	7
0	0	1715.698837	1510.667673	1460.565677		1444.350788	1443.972708	37.9996409	6	10
0	0	1717.002276	1512.403053	1461.044135		1444.422459	1443.972708	37.9996409	6	10
0	0	1721.240672	1523.395348	1475.985289		1460.641612	1460.161318	38.21205723	16	6
0	0	1725.634864	1525.075977	1476.360003		1460.593683	1460.161318	38.21205723	16	6
0	0	1735.686231	1528.559614	1477.933134		1461.548501	1461.142784	38.22489744	22	4
0	0	1738.011153	1529.020799	1478.000372		1461.488244	1461.142784	38.22489744	22	4
0	0	1744.204971	1532.857841	1481.308154		1464.624738	1464.234484	38.26531699	4	11
0	0	1748.723808	1535.394806	1481.953825		1464.658315	1464.234484	38.26531699	4	11
0	0	1757.035286	1541.980042	1489.676424		1472.749007	1472.658751	38.37523617	19	5
0	0	1758.968048	1542.410186	1489.795601		1472.767544	1472.658751	38.37523617	19	5
0	0	1762.401621	1545.511963	1493.503787		1476.671987	1476.300403	38.42265482	2	12
0	0	1768.507994	1546.703767	1494.645002		1477.796829	1476.300403	38.42265482	2	12
0	0	1779.904369	1547.894535	1496.065087		1479.291129	1479.201501	38.46038872	11	8
0	0	1783.883877	1551.402552	1496.082654		1478.179055	1479.201501	38.46038872	11	8
0	0	1785.221772	1554.406358	1498.384688		1480.25397	1480.307637	38.47476623	0	13
0	0	1789.11829	1564.501659	1510.5325		1493.066052	1492.747659	38.6360927	30	2
0	0	1797.331751	1564.928996	1510.633047		1493.060837	1492.747659	38.6360927	30	2
0	0	1800.025348	1575.383549	1516.781855		1497.816144	1496.959096	38.69055565	36	1
0	0	1804.283855	1575.886806	1516.826115		1497.711855	1496.959096	38.69055565	36	1
0	0	1809.853816	1577.39689	1522.349934		1504.53467	1504.92835	38.79340601	26	3
0	0	1831.04461	1577.60739	1522.458343		1504.610038	1504.92835	38.79340601	26	3
0	0	1832.289014	1591.605232	1539.112523		1522.123909	1521.148423	39.00190281	9	9
0	0	1832.601612	1592.854502	1539.358687		1522.045431	1521.148423	39.00190281	9	9
0	0	1836.228505	1600.078497	1544.858744		1526.987556	1527.168099	39.07899819	14	7
0	0	1853.827627	1600.957189	1544.988354		1526.874734	1527.168099	39.07899819	14	7
0	0	1854.025199	1627.837571	1570.778921		1552.312597	1551.885466	39.39397753	23	4
0	0	1859.47898	1628.061927	1570.811673		1552.283339	1551.885466	39.39397753	23	4
0	0	1862.828187	1630.326619	1573.348607		1554.90838	1554.115733	39.42227458	3	10
0	0	1864.818105	1630.641038	1573.693467		1555.263092	1554.115733	39.42227458	3	10
0	0	1873.595194	1631.103369	1575.5667		1557.592947	1557.309968	39.46276685	17	6
0	0	1893.319969	1633.173938	1575.64258		1557.02327	1557.309968	39.46276685	17	6
0	0	1895.927978	1645.703071	1586.282577		1567.051871	1566.935086	39.58453089	20	5
0	0	1898.341174	1646.562784	1586.443338		1566.986425	1566.935086	39.58453089	20	5
0	0	1902.123206	1657.835137	1597.367193		1577.797494	1577.474435	39.71743238	31	2
0	0	1904.356581	1657.984808	1597.419449		1577.818222	1577.474435	39.71743238	31	2
0	0	1905.69895	1658.067803	1598.550873		1579.139971	1578.523773	39.73064023	5	11
0	0	1907.483227	1659.768698	1598.838598		1579.119327	1578.523773	39.73064023	5	11
0	0	1918.34574	1661.813347	1599.354124		1579.288957	1577.272482	39.71488993	39	1
0	0	1923.078035	1662.732432	1599.406087		1578.911301	1577.272482	39.71488993	39	1
0	0	1923.942483	1666.846452	1602.59847		1581.805407	1583.398546	39.79194072	12	8
0	0	1931.337878	1667.097725	1602.738457		1581.909378	1583.398546	39.79194072	12	8
0	0	1937.511972	1673.033318	1613.15871		1593.781036	1593.533656	39.91908887	27	3
0	0	1941.618657	1673.093228	1613.171395		1593.778437	1593.533656	39.91908887	27	3
0	0	1949.245407	1675.868975	1614.760936		1594.984078	1594.653164	39.93310862	3	12
0	0	1950.654977	1680.242629	1616.009677		1595.221479	1594.653164	39.93310862	3	12
0	0	1951.773253	1687.872343	1623.629186		1602.837686	1602.676643	40.03344405	1	13
0	0	1960.497543	1689.78418	1623.950397		1602.644109	1602.676643	40.03344405	1	13
0	0	1970.498074	1707.258068	1648.771592		1629.84317	1629.34152	40.36510275	15	7
0	0	1981.476107	1707.924354	1648.838269		1629.715791	1629.34152	40.36510275	15	7
0	0	1985.671106	1715.80308	1651.028225		1630.064647	1629.823205	40.37106891	10	9
0	0	1991.297996	1716.653981	1651.232596		1630.059777	1629.823205	40.37106891	10	9
0	0	1995.458247	1730.437985	1666.211277		1645.4251	1645.043275	40.55913306	24	4
0	0	1998.859298	1730.666365	1666.286441		1645.450677	1645.043275	40.55913306	24	4
0	0	1999.838619	1740.057566	1677.781475		1657.626591	1657.043194	40.70679543	18	6
0	0	2016.9012	1740.38483	1677.827177		1657.581169	1657.043194	40.70679543	18	6
0	0	2021.907385	1752.824375	1684.081653		1661.833925	1659.64916	40.73879184	38	1
0	0	2023.163182	1753.098671	1684.2205		1661.928935	1659.64916	40.73879184	38	1
0	0	2033.701766	1753.628882	1685.666426		1663.67122	1664.409643	40.7971769	32	2
0	0	2036.63648	1753.984513	1685.714016		1663.619116	1664.409643	40.7971769	32	2
0	0	2037.773099	1755.058543	1686.442341		1664.235559	1663.713156	40.78864004	21	5
0	0	2051.916504	1758.355874	1686.836735		1663.690453	1663.713156	40.78864004	21	5
0	0	2055.747202	1759.121122	1688.727028		1665.944853	1667.103491	40.83017868	8	10
0	0	2058.756662	1759.56792	1689.921588		1667.381417	1667.103491	40.83017868	8	10
0	0	2059.294105	1773.314613	1706.382123		1684.680206	1684.454691	41.04210875	28	3
0	0	2071.517902	1773.937268	1706.50411		1684.720253	1684.454691	41.04210875	28	3
0	0	2072.820958	1778.864396	1712.13969		1690.545066	1690.3209	41.11351238	13	8
0	0	2076.272353	1779.672989	1712.265132		1690.449415	1690.3209	41.11351238	13	8
0	0	2078.177719	1788.475489	1718.712602		1696.134709	1695.697644	41.17884947	6	11
0	0	2088.792295	1790.445287	1719.287198		1696.257766	1695.697644	41.17884947	6	11
0	0	2104.355107	1809.892057	1739.324339		1716.485973	1715.920146	41.4236665	4	12
0	0	2107.148679	1814.111339	1740.360471		1716.491917	1715.920146	41.4236665	4	12
0	0	2110.864915	1822.280528	1751.544781		1728.652034	1727.976352	41.56893494	2	13
0	0	2122.034851	1823.670462	1753.319084		1730.550733	1727.976352	41.56893494	2	13
0	0	2128.35184	1824.87443	1755.915575		1733.597897	1734.164922	41.64330585	16	7
0	0	2133.749433	1830.664907	1756.915604		1733.047558	1734.164922	41.64330585	16	7
0	0	2137.17054	1832.931879	1757.181161		1732.665381	1731.982531	41.61709421	0	13
0	0	2138.935818	1835.722127	1764.181195		1741.027859	1740.607605	41.7205897	25	4
0	0	2143.666356	1836.688186	1764.382566		1740.98175	1740.607605	41.7205897	25	4
0	0	2148.268254	1838.009198	1764.863446		1741.190731	1741.278191	41.72862556	11	9
0	0	2149.868817	1839.255574	1765.07153		1741.062785	1741.278191	41.72862556	11	9
0	0	2158.29352	1852.636729	1771.192773		1744.834447	1744.088041	41.76228012	39	1
0	0	2160.887766	1853.05691	1771.248686		1744.772469	1744.088041	41.76228012	39	1
0	0	2161.710636	1853.35195	1778.111304		1753.760602	1753.549396	41.87540324	33	2
0	0	2174.227318	1853.501271	1778.301753		1753.964363	1753.549396	41.87540324	33	2
0	0	0	1854.571683	1782.787499		1759.555438	1759.348311	41.9445862	19	6
0	0	0	1855.041818	1782.81609		1759.441129	1759.348311	41.9445862	19	6
0	0	0	1864.350425	1787.792511		1763.015492	1762.9823	41.98788278	22	5
0	0	0	1864.585185	1787.855562		1763.022972	1762.9823	41.98788278	22	5
0	0	0	1877.124635	1802.200502		1777.952236	1777.685264	42.16260504	29	3
0	0	0	1877.70076	1802.283797		1777.876033	1777.685264	42.16260504	29	3
0	0	0	1882.146448	1807.974871		1783.97016	1782.920091	42.22463843	9	10
0	0	0	1884.493631	1808.300112		1783.641025	1782.920091	42.22463843	9	10
0	0	0	1900.786456	1824.635835		1799.990631	1799.953124	42.42585443	14	8
0	0	0	1901.840366	1824.834595		1799.912633	1799.953124	42.42585443	14	8
0	0	0	1921.068578	1842.106532		1816.551445	1815.741822	42.61152217	7	11
0	0	0	1924.556261	1842.633949		1816.12081	1815.741822	42.61152217	7	11
0	0	0	1942.687658	1860.389152		1833.754261	1830.588079	42.78537226	40	1
0	0	0	1943.520024	1860.711849		1833.912011	1830.588079	42.78537226	40	1
0	0	0	1945.07992	1864.894488		1838.943468	1838.570293	42.87855284	26	4
0	0	0	1945.131725	1864.915035		1838.953898	1838.570293	42.87855284	26	4
0	0	0	1949.180049	1866.80843		1840.149877	1840.090251	42.89627316	5	12
0	0	0	1951.659681	1867.096338		1840.128528	1840.090251	42.89627316	5	12
0	0	0	1952.534424	1867.612466		1839.728461	1844.889985	42.95218254	34	2
0	0	0	1952.953515	1867.841429		1840.295959	1844.889985	42.95218254	34	2
0	0	0	1955.311001	1872.079856		1845.143128	1841.624456	42.91415216	17	7
0	0	0	1956.088878	1872.315503		1845.203289	1841.624456	42.91415216	17	7
0	0	0	1962.631799	1881.85683		1855.715013	1855.497563	43.0754868	12	9
0	0	0	1963.463025	1882.156462		1855.842602	1855.497563	43.0754868	12	9
0	0	0	1967.609311	1883.567699		1856.368674	1856.201127	43.08365266	3	13
0	0	0	1969.346736	1885.232193		1858.009564	1856.201127	43.08365266	3	13
0	0	0	1970.11865	1890.275901		1864.435786	1864.213301	43.17653646	20	6
0	0	0	1972.713464	1890.410178		1863.773741	1864.213301	43.17653646	20	6
0	0	0	1978.345412	1892.634037		1864.894613	1864.732415	43.18254757	23	5
0	0	0	1979.316981	1892.900019		1864.932242	1864.732415	43.18254757	23	5
0	0	0	1981.089635	1893.032779		1864.53427	1864.221289	43.17662897	1	14
0	0	0	1982.976116	1893.077919		1863.983483	1864.221289	43.17662897	1	14
0	0	0	1984.923911	1900.549373		1873.242601	1873.219486	43.2807057	30	1
0	0	0	1985.200686	1900.639128		1873.271829	1873.219486	43.2807057	30	1
0	0	0	2013.103086	1929.720497		1902.734757	1901.549945	43.6067649	10	10
0	0	0	2014.832401	1930.154646		1902.749741	1901.549945	43.6067649	10	10
0	0	0	2027.555844	1940.203513		1911.933016	1912.280503	43.72962958	15	8
0	0	0	2027.914657	1940.322457		1911.974328	1912.280503	43.72962958	15	8
0	0	0	2053.239671	1952.102079		1919.370152	1919.148274	43.80808458	41	1
0	0	0	2053.741478	1952.212092		1919.353366	1919.148274	43.80808458	41	1
0	0	0	2056.483265	1967.998432		1939.361413	1938.427865	44.02758073	35	2
0	0	0	2056.683276	1968.059472		1939.377478	1938.427865	44.02758073	35	2
0	0	0	2057.437627	1968.134236		1938.826365	1938.923581	44.03320998	27	4
0	0	0	2060.470673	1968.59027		1938.854318	1938.923581	44.03320998	27	4
0	0	0	2061.175805	1968.741561		1939.232301	1938.64181	44.03001034	8	11
0	0	0	2062.676623	1969.667794		1939.56664	1938.64181	44.03001034	8	11
0	0	0	2066.471362	1980.297165		1952.407956	1951.706968	44.17812771	18	7
0	0	0	2067.258861	1980.43035		1952.32938	1951.706968	44.17812771	18	7
0	0	0	2087.367217	1998.087752		1969.026476	1967.151282	44.3525792	5	13
0	0	0	2088.371051	1998.829117		1968.691751	1967.151282	44.3525792	5	13
0	0	0	2091.173708	1998.892231		1969.193561	1968.95391	44.37289611	24	5
0	0	0	2093.283214	1999.155136		1969.849981	1968.95391	44.37289611	24	5
0	0	0	2093.92335	2001.408272		1971.466915	1971.62676	44.40300395	21	6
0	0	0	2094.699258	2001.517654		1971.360584	1971.62676	44.40300395	21	6
0	0	0	2095.223312	2002.248649		1972.158553	1972.466116	44.41245452	13	9
0	0	0	2096.561372	2002.417347		1971.948801	1972.466116	44.41245452	13	9
0	0	0	2099.727449	2002.581178		1971.140992	1971.051746	44.39652854	31	3
0	0	0	2100.330013	2002.657732		1971.04731	1971.051746	44.39652854	31	3
0	0	0	2114.631582	2018.859972		1987.864678	1987.342799	44.57962314	4	13
0	0	0	2119.728541	2020.216166		1988.010221	1987.342799	44.57962314	4	13
0	0	0	2128.951298	2031.169796		1999.524026	1999.391298	44.71455353	2	14
0	0	0	2136.283613	2033.407547		2000.112985	1999.391298	44.71455353	2	14
0	0	0	2137.959117	2036.465993		2003.619002	2003.396637	44.759319	0	14
0	0	0	2147.598421	2046.012513		2013.135494	2009.767664	44.83043235	42	1
0	0	0	2149.022181	2046.084125		2012.769501	2009.767664	44.83043235	42	1
0	0	0	2157.414818	2054.366562		2021.016273	2022.977868	44.97752625	11	10
0	0	0	2157.748807	2054.628319		2021.254652	2022.977868	44.97752625	11	10
0	0	0	2159.085382	2058.898894		2026.474781	2027.289005	45.02542621	16	8
0	0	0	2159.745601	2059.175691		2026.627488	2027.289005	45.02542621	16	8
0	0	0	2168.454206	2067.337951		2034.612929	2034.159649	45.10165905	36	2
0	0	0	2169.027425	2067.413253		2034.527087	2034.159649	45.10165905	36	2
0	0	0	2172.323173	2073.945159		2042.106335	2041.660086	45.18473289	28	4
0	0	0	2173.564146	2074.127302		2041.945802	2041.660086	45.18473289	28	4