The best known packings of equal spheres in a sphere

N	radius	distance	ratio	density	contacts	loose	boundary	reference
1	1.000000000000	–	1.0000000000	1.000000000000	1		1
2	0.500000000000	2.000000000000	2.0000000000	0.250000000000	3		2
3	0.464101615138	1.732050807571	2.1547005384	0.299888971118	6		3	[1]
4	0.449489742783	1.632993161854	2.2247448714	0.363261480388	10		4	[1]
5	0.414213562373	1.414213562373	2.4142135624	0.355339059327	12		5	[1]
6	0.414213562373	1.414213562373	2.4142135624	0.426406871193	18		6	[1]
7	0.385913557400	1.256870468483	2.5912538723	0.402316780932	19		7	[2]
8	0.378024844801	1.215562524133	2.6453287760	0.432166419789	24		8	[2]
9	0.366025403785	1.154700538382	2.7320508076	0.441342951092	27		9	[2]
10	0.353049430432	1.091426291402	2.8324645611	0.440054580178	29		10	[5]
11	0.344576516755	1.051462224237	2.9021130326	0.450038547852	36		11	[5]
12	0.344576516755	1.051462224237	2.9021130326	0.490951143111	42		12	[1]
13	0.333333333333	1.000000000000	3.0000000000	0.481481481481	24		12
14	0.323504674183	0.956413627226	3.0911454449	0.473990585425	37	1	13	[2]
15	0.318304823107	0.933862623344	3.1416426249	0.483749932003	42	1	14	[2]
16	0.310975923325	0.902656188230	3.2156830320	0.481171926089	45	1	15	[2]
17	0.305693961650	0.880574112178	3.2712455117	0.485634466608	48	1	16	[2]
18	0.301296589342	0.862444879318	3.3189887817	0.492328697969	51	1	17	[5]
19	0.295332333897	0.838217355793	3.3860159733	0.489425500215	52	1	18	[6]
20	0.287890825717	0.808558114721	3.4735389622	0.477214324831	52	2	19	[7]
21	0.286832818119	0.804391523913	3.4863514104	0.495570920187	57	3	20	[3]
22	0.279342624810	0.775243921527	3.5798331912	0.479550457554	61	1	21	[8]
23	0.275670701290	0.761175067144	3.6275164365	0.481836470826	64	1	22	[8]
24	0.271341339941	0.744769409368	3.6853949355	0.479467459313	68	1	22	[31]
25	0.271191827927	0.744206331155	3.6874267475	0.498620125704	84	1	24	[4]
26	0.266851272489	0.727959450724	3.7474057765	0.494061693011	77		24	[11]
27	0.262232080452	0.710879596426	3.8134159569	0.486879204757	78	1	24	[11]
28	0.260305475681	0.703818852575	3.8416402782	0.493864651913	82		25	[11]
29	0.257925462478	0.695147049080	3.8770891032	0.497600320836	76	3	26	[11]
30	0.255330557656	0.685755432242	3.9164916616	0.499378264835	86	1	27	[11]
31	0.253116209529	0.677792751050	3.9507544849	0.502714681184	85	2	27	[11]
32	0.250787448179	0.669469425117	3.9874403893	0.504739586490	93	1	28	[11]
33	0.248762350343	0.662273384345	4.0199009160	0.508004891658	94	1	29	[11]
34	0.247052663501	0.656228268632	4.0477199712	0.512681372527	102		30	[11]
35	0.244833658425	0.648423122022	4.0844057408	0.513666698068	100	1	30	[11]
36	0.243132164915	0.642469275729	4.1129893297	0.517403964757	98	4	32	[11]
37	0.240686558293	0.633958376272	4.1547812520	0.515890148167	110		32	[11]
38	0.240519372142	0.633378557187	4.1576692600	0.528729790846	116		32	[11]
39	0.236745240285	0.620357062361	4.2239497563	0.517497643020	97	6	33	[11]
40	0.234999237637	0.614376479603	4.2553329537	0.519109947837	98	7	34	[11]
41	0.232755981857	0.606732607497	4.2963450048	0.516995080282	100	7	35	[11]
42	0.232118623301	0.604568961677	4.3081420430	0.525265949758	108	6	36	[11]
43	0.229732967254	0.596502141433	4.3528798324	0.521360856683	127		36	[11]
44	0.228163038226	0.591220813529	4.3828308379	0.522623038233	127	1	36	[11]
45	0.226911569263	0.587026167360	4.4070031477	0.525753813707	119	5	38	[11]
46	0.225168199111	0.581205363158	4.4411244747	0.525144709692	138		38	[11]
47	0.223507049839	0.575683397493	4.4741318035	0.524773065591	133	2	38	[11]
48	0.222405942149	0.572036115512	4.4962827447	0.528056504400	139	1	39	[11]
49	0.221278177007	0.568311226097	4.5191984746	0.530898911129	142	1	40	[11]
50	0.219758275796	0.563308187652	4.5504543407	0.530647009782	142	2	41	[11]
51	0.218550295807	0.559345776534	4.5756057950	0.532383236403	145	2	42	[11]
52	0.216930407731	0.554051414773	4.6097732930	0.530841223195	142	4	42	[11]
53	0.216288057367	0.551958048873	4.6234637833	0.536257636148	142	5	43	[11]
54	0.214920670908	0.547513258709	4.6528795754	0.536078417223	160		44	[11]
55	0.213441688789	0.542723116002	4.6851203515	0.534811127622	151	4	43	[11]
56	0.213067869308	0.541515236189	4.6933402171	0.541678896170	154	4	44	[11]
57	0.211327241143	0.535906023808	4.7319976099	0.537949249393	166	1	45	[12]
58	0.210480101312	0.533185044891	4.7510429431	0.540830438196	165	3	45	[11]
59	0.209759450876	0.530874937027	4.7673656459	0.544523495682	163	4	46	[11]
60	0.209426996435	0.529810644914	4.7749335903	0.551123897404	156	12	48	[11]
61	0.209108659202	0.528792385035	4.7822027257	0.557758101350	204		48	[11]
62	0.206739154000	0.521238770431	4.8370131185	0.547847764413	184	1	48	[11]
63	0.205954921018	0.518748686868	4.8554314461	0.550372935465	204	1	48	[11]
64	0.204107219252	0.512901295725	4.8993857428	0.544195657340	172	6	48	[31]
65	0.203076051707	0.509649765557	4.9242635535	0.544364116868	192	1	50	[11]
66	0.202108764115	0.506607304417	4.9478309581	0.544878127391	187	3	50	[11]
67	0.201216632889	0.503807768599	4.9697680835	0.545841352947	178	7	52	[11]
68	0.200002230133	0.500006969185	4.9999442473	0.544018198088	193	3	52	[11]
69	0.199281532516	0.497756803692	5.0180264442	0.546072434137	184	7	52	[11]
70	0.198688729141	0.495908984103	5.0329981188	0.549057383073	199	3	53	[11]
71	0.197222141221	0.491349229589	5.0704246177	0.544659844168	196	5	54	[11]
72	0.196285915470	0.488447121304	5.0946090432	0.544502539950	211	1	54	[11]
73	0.195628445518	0.486413136884	5.1117310540	0.546536123531	205	4	55	[12]
74	0.195146793635	0.484925181615	5.1243475815	0.549940848873	212	3	56	[31]
75	0.193964427622	0.481280068198	5.1555845175	0.547302624777	212	5	56	[31]
76	0.192947674925	0.478154064935	5.1827522689	0.545924067536	216	3	57	[12]
77	0.192254117422	0.476026239362	5.2014490686	0.547164199576	217	4	58	[12]
78	0.191458926390	0.473591095466	5.2230523740	0.547421008606	173	20	59	[31]
79	0.190659742093	0.471148544090	5.2449457291	0.547525177852	233	1	58	[31]
80	0.189727325517	0.468304884249	5.2707220601	0.546360937080	226	4	58	[12]
81	0.188970653150	0.466002010615	5.2918269759	0.546598091937	231	3	60	[12]
82	0.188297320002	0.463956383641	5.3107500414	0.547452280064	237	2	61	[12]
83	0.187640284124	0.461963537721	5.3293460126	0.548348093717	247		61	[31]
84	0.186956031676	0.459891565425	5.3488512301	0.548905685957	241	3	61	[12]
85	0.186411242271	0.458244390671	5.3644833209	0.550598758375	240	4	60	[12]
86	0.185610957844	0.455828721252	5.3876129492	0.549932374075	250	2	63	[31]
87	0.184952925832	0.453845996616	5.4067811877	0.550430981393	250	3	63	[12]
88	0.184275885830	0.451809337566	5.4266460069	0.550665914247	249	4	64	[12]
89	0.183598057582	0.449773691224	5.4466807175	0.550800407839	256	3	62	[31]
90	0.182937330629	0.447792654068	5.4663528574	0.550997365698	265	1	64	[12]
91	0.182353276900	0.446044169805	5.4838608716	0.551800523769	265	2	64	[12]
92	0.181782421764	0.444337610433	5.5010819544	0.552641484079	259	5	65	[31]
93	0.181286816984	0.442857940352	5.5161208997	0.554091668176	270	2	64	[12]
94	0.180820375937	0.441466976535	5.5303501877	0.555737825088	265	5	60	[12]
95	0.180532959436	0.440610666444	5.5391547512	0.558975933361	318		60	[12]
96	0.179567271930	0.437737954099	5.5689435455	0.555843827283	274	4	65	[12]
97	0.179019633861	0.436111851744	5.5859794729	0.556510967846	288	1	66	[31]
98	0.178499675043	0.434569943846	5.6022510952	0.557363295220	289	1	67	[12]
99	0.177879839132	0.432734404529	5.6217725678	0.557205479592	288	2	68	[12]
100	0.177439223049	0.431431276619	5.6357325219	0.558661678026	288	3	69	[12]
101	0.176688867565	0.429215300521	5.6596661339	0.557120238800	298	1	70	[12]
102	0.176215110923	0.427818264840	5.6748822207	0.558122607519	298	2	68	[31]
103	0.175681317426	0.426246113644	5.6921248921	0.558488150799	296	3	69	[12]
104	0.175184121787	0.424783582408	5.7082798932	0.559136135311	295	5	68	[12]
105	0.174670246799	0.423273839630	5.7250734932	0.559559277463	288	8	72	[12]
106	0.174167434485	0.421798417155	5.7416014823	0.560024116065	289	9	72	[12]
107	0.173608258062	0.420159711797	5.7600946589	0.559879951388	307	4	70	[12]
108	0.173168221779	0.418871713303	5.7747315860	0.560826268620	302	6	71	[12]
109	0.172638823470	0.417323965318	5.7924398458	0.560843771142	313	4	73	[31]
110	0.172285622418	0.416292448420	5.8043148695	0.562522364746	325	1	73	[12]
111	0.171744763732	0.414714586064	5.8225938204	0.562307004483	323	2	73	[12]
112	0.171331227895	0.413509555717	5.8366475994	0.563284245797	334		75	[12]
113	0.170853998626	0.412120418703	5.8529505194	0.563577810665	331	2	76	[31]
114	0.170449574713	0.410944457425	5.8668377535	0.564537268017	336	1	77	[12]
115	0.169844873619	0.409188278724	5.8877255386	0.563449723354	319	8	77	[12]
116	0.169416014365	0.407944331446	5.9026297115	0.564054892449	334	4	76	[12]
117	0.169057962712	0.406906751917	5.9151310235	0.565317923345	337	4	78	[12]
118	0.168723599855	0.405938626011	5.9268531543	0.566773460390	334	6	78	[31]
119	0.168129445780	0.404220211731	5.9477981109	0.565559504766	355		76	[13]
120	0.167683162280	0.402931082686	5.9636279898	0.565782633527	344	4	77	[12]
121	0.167217751301	0.401588174009	5.9802263349	0.565760349002	346	5	77	[12]
122	0.166844562670	0.400512449885	5.9936025723	0.566625355335	358	2	80	[13]
123	0.166501095219	0.399523248956	6.0059664994	0.567749022508	353	4	77	[12]
124	0.166046011632	0.398213843804	6.0224270982	0.567684492255	346	8	79	[12]
125	0.165707392900	0.397240468129	6.0347337708	0.568768671181	352	6	78	[12]
126	0.165236192632	0.395887294521	6.0519428829	0.568441901274	363	4	80	[12]
127	0.164839061175	0.394748014453	6.0665232674	0.568832128583	364	5	80	[12]
128	0.164797177355	0.394627922432	6.0680650970	0.572874216314	368	4	80	[13]
129	0.164142581214	0.392752585608	6.0922643753	0.570497159137	355	10	75	[13]
130	0.163801770859	0.391777368453	6.1049401039	0.571345919602	347	12	76	[13]
131	0.163545333743	0.391044106371	6.1145125765	0.573041094762	368	7	77	[13]
132	0.163232271313	0.390149537839	6.1262395723	0.574105889754	388	2	81	[12]
133	0.162963979279	0.389383432121	6.1363253673	0.575607578596	373	8	79	[12]
134	0.162832431396	0.389007977621	6.1412827373	0.578532180935	373	9	80	[12]
135	0.162579700716	0.388286982905	6.1508293815	0.580139889296	373	10	81	[31]
136	0.162377505731	0.387710470628	6.1584884895	0.582259396941	378	9	82	[13]
137	0.161772816367	0.385987998303	6.1815082562	0.580012303665	394	5	82	[31]
138	0.161135317283	0.384174755721	6.2059641354	0.577366128375	403	3	84	[12]
139	0.160746481721	0.383070140833	6.2209759697	0.577350078204	385	10	85	[12]
140	0.160407536677	0.382108090972	6.2341210439	0.577833004818	407	3	84	[12]
141	0.160041657637	0.381070464011	6.2483731721	0.577987219679	414	2	85	[12]
142	0.159699981108	0.380102290890	6.2617415047	0.578366245309	406	6	86	[12]
143	0.159449054966	0.379391768952	6.2715956530	0.579698112354	416	3	87	[12]
144	0.159153649105	0.378555841827	6.2832363921	0.580513460218	413	5	88	[12]
145	0.158609167902	0.377016629731	6.3048057891	0.578565938851	403	9	89	[12]
146	0.158248840832	0.375999104030	6.3191616112	0.578594722869	414	7	90	[12]
147	0.157784117755	0.374688060582	6.3377734986	0.577440435470	422	6	91	[31]
148	0.157569359432	0.374082688459	6.3464115333	0.578997947014	424	6	93	[13]
149	0.157097566347	0.372753856378	6.3654709825	0.577689721248	409	11	92	[12]
150	0.156791541716	0.371892715676	6.3778950641	0.578174789018	412	12	94	[12]
151	0.156639601709	0.371465394929	6.3840816057	0.580338867387	267	61	95	[12]
152	0.156045993115	0.369797386687	6.4083670464	0.577565778025	433	7	92	[12]
153	0.155704877618	0.368839931655	6.4224063838	0.577561297462	433	8	93	[12]
154	0.155370357768	0.367901740596	6.4362341335	0.577597384764	445	5	97	[13]
155	0.154990721956	0.366837917602	6.4519991092	0.577096980376	430	11	96	[12]
156	0.154643961095	0.365867052409	6.4664665398	0.576930493762	450	5	96	[12]
157	0.154337213662	0.365008880977	6.4793187351	0.577180458275	448	7	95	[12]
158	0.154083535103	0.364299647771	6.4899860931	0.577997271637	457	5	96	[12]
159	0.153739285883	0.363337877603	6.5045183101	0.577765629467	457	6	97	[12]
160	0.153403357533	0.362400108477	6.5187621450	0.577596533306	444	11	96	[12]
161	0.153102131936	0.361559847319	6.5315876883	0.577789427542	451	10	98	[12]
162	0.152793586534	0.360699787219	6.5447773214	0.577870321358	457	9	98	[12]
163	0.152493953330	0.359865168937	6.5576370614	0.578023472518	475	4	99	[13]
164	0.152224382259	0.359114791871	6.5692498479	0.578490869867	472	6	98	[12]
165	0.151988754849	0.358459291000	6.5794341232	0.579319724566	459	11	100	[12]
166	0.151626257544	0.357451556917	6.5951637678	0.578670489850	478	6	100	[12]
167	0.151301831791	0.356550390842	6.6093053082	0.578427628982	472	9	101	[13]
168	0.150987186808	0.355677050951	6.6230785614	0.578268535084	478	8	102	[13]
169	0.150689896199	0.354852475026	6.6361449920	0.578281242895	481	8	104	[13]
170	0.150452861896	0.354195441660	6.6466000540	0.578962294963	484	8	102	[13]
171	0.150136920417	0.353320255989	6.6605868645	0.578706846949	496	5	103	[13]
172	0.149892326079	0.352643154926	6.6714556119	0.579250802913	491	7	104	[13]
173	0.149662426611	0.352007088231	6.6817037692	0.579941851553	499	6	104	[12]
174	0.149322781215	0.351068014795	6.6969017846	0.579331921687	505	5	106	[12]
175	0.149028363986	0.350254597636	6.7101320397	0.579221735085	492	10	106	[13]
176	0.148746153967	0.349475434761	6.7228628998	0.579228474881	490	12	106	[12]
177	0.148444299701	0.348642607052	6.7365335147	0.578980373455	508	7	108	[13]
178	0.148152689318	0.347838603140	6.7497930993	0.578826785831	510	7	105	[13]
179	0.147915023152	0.347183736766	6.7606384983	0.579281806036	529	2	107	[13]
180	0.147649322270	0.346452055774	6.7728045387	0.579384508090	527	3	109	[13]
181	0.147349702922	0.345627517933	6.7865762887	0.579063736851	531	3	108	[13]
182	0.147073489170	0.344867904333	6.7993219284	0.578994682541	523	7	110	[13]
183	0.146797966222	0.344110680496	6.8120834759	0.578910205996	529	6	107	[13]
184	0.146535497150	0.343389787532	6.8242850330	0.578957053392	538	4	109	[13]
185	0.146258233310	0.342628740953	6.8372219284	0.578805564812	528	8	109	[13]
186	0.145978949142	0.341862648457	6.8503027723	0.578606946290	540	5	111	[13]
187	0.145706907536	0.341116904307	6.8630926077	0.578471582701	539	6	111	[13]
188	0.145452943205	0.340421143689	6.8750757322	0.578529341073	535	9	111	[12]
189	0.145245497123	0.339853131242	6.8848950212	0.579121696964	529	12	112	[13]
190	0.144962980007	0.339080008508	6.8983129345	0.578795206409	449	12	113	[13]
191	0.144714894423	0.338401530623	6.9101387524	0.578859364608	560	3	113	[13]
192	0.144501866356	0.337819243954	6.9203258423	0.579324102995	557	5	113	[12]
193	0.144287551916	0.337233733690	6.9306048008	0.579754200336	538	13	112	[12]
194	0.144082324351	0.336673323732	6.9404765956	0.580274983346	554	8	115	[13]
195	0.143779357073	0.335846509333	6.9551013467	0.579594456723	559	7	114	[12]
196	0.143581241383	0.335306157036	6.9646981066	0.580161870919	566	6	114	[12]
197	0.143375209097	0.334744477675	6.9747064803	0.580615223941	568	7	113	[12]
198	0.143077876509	0.333934374168	6.9892007374	0.579939444309	583	3	114	[12]
199	0.142826267421	0.333249286562	7.0015132234	0.579798832178	576	6	116	[13]
200	0.142593294458	0.332615300385	7.0129524940	0.579865545695	570	9	115	[13]
201	0.142366448864	0.331998319505	7.0241268781	0.579988008320	573	9	116	[13]
202	0.142130524291	0.331356991512	7.0357863308	0.579980568910	572	10	115	[12]
203	0.141925141987	0.330798975548	7.0459679377	0.580328701396	586	7	118	[13]
204	0.141725022305	0.330255514813	7.0559170409	0.580723992857	592	5	117	[31]
205	0.141577595922	0.329855314236	7.0632644486	0.581751432589	588	7	118	[12]
206	0.141275111715	0.329034627137	7.0783876074	0.580850273987	595	7	117	[12]
207	0.141029599591	0.328368939195	7.0907100559	0.580632263261	607	4	120	[13]
208	0.140785079876	0.327706320220	7.1030254121	0.580407785935	605	5	120	[13]
209	0.140573020977	0.327131971437	7.1137405531	0.580566831544	610	5	116	[12]
210	0.140365259385	0.326569536463	7.1242699538	0.580762000271	586	14	120	[12]
211	0.140190942902	0.326097851017	7.1331284268	0.581356222883	609	7	122	[31]
212	0.140021682155	0.325640028940	7.1417510817	0.581998322937	609	7	123	[12]
213	0.139751594650	0.324909860410	7.1555534125	0.581366388918	621	5	120	[13]
214	0.139549758852	0.324364506345	7.1659027448	0.581568726267	618	7	122	[13]
215	0.139337308316	0.323790747902	7.1768287481	0.581621845330	626	4	125	[31]
216	0.139127520346	0.323224458055	7.1876505634	0.581691724895	626	6	125	[12]
217	0.138933202398	0.322700173284	7.1977035204	0.581939548387	636	4	124	[12]
218	0.138754333155	0.322217779425	7.2069821335	0.582366195105	630	6	124	[13]
219	0.138577784717	0.321741841012	7.2161638465	0.582807266965	634	7	124	[13]
220	0.138331406346	0.321077981407	7.2290163631	0.582351310958	646	4	125	[13]
221	0.138172488643	0.320649983488	7.2373307438	0.582984506569	645	4	125	[13]
222	0.137952472614	0.320057695734	7.2488733333	0.582829387298	655	3	127	[12]
223	0.137777983226	0.319588181572	7.2580536932	0.583236013747	648	6	127	[12]
224	0.137576162444	0.319045361348	7.2687010761	0.583280679936	655	5	128	[13]
225	0.137387725432	0.318538767608	7.2786706153	0.583480462553	658	5	124	[31]
226	0.137237816865	0.318135911720	7.2866213034	0.584157344828	663	3	125	[12]
227	0.137032435894	0.317584209636	7.2975423189	0.584111814674	657	7	129	[13]
228	0.136831660309	0.317045132489	7.3082501356	0.584109994151	652	10	128	[12]
229	0.136624488976	0.316489145758	7.3193320428	0.584011143533	661	8	127	[13]
230	0.136437831304	0.315988440091	7.3293454641	0.584160596261	663	8	128	[13]
231	0.136267332102	0.315531268335	7.3385160227	0.584503666153	678	4	129	[13]
232	0.136081941226	0.315034371244	7.3485136308	0.584641274784	658	12	130	[12]
233	0.135911031843	0.314576477311	7.3577544548	0.584951757332	672	7	121	[31]
234	0.135687875853	0.313978878838	7.3698552189	0.584573318056	673	4	124	[31]
235	0.135569375442	0.313661667207	7.3762971670	0.585534714546	665	11	122	[31]
236	0.135369381634	0.313126504563	7.3871948585	0.585427795131	669	11	123	[31]
237	0.135200908905	0.312675881132	7.3963999806	0.585716123866	672	12	124	[31]
238	0.135030695442	0.312220779930	7.4057235410	0.585968769872	685	8	125	[31]
239	0.134878141559	0.311813047476	7.4140997825	0.586438698075	690	8	125	[12]
240	0.134644469895	0.311188789373	7.4269667427	0.585837009420	689	9	129	[31]
241	0.134512593958	0.310836629208	7.4342481293	0.586551143584	708	3	130	[12]
242	0.134304731964	0.310281774485	7.4457540354	0.586258711747	702	5	131	[31]
243	0.134152594192	0.309875835608	7.4541980051	0.586682993853	704	7	130	[12]
244	0.133988930142	0.309439301195	7.4633031172	0.586943888109	713	5	131	[12]
245	0.133805525482	0.308950309471	7.4735329232	0.586932594556	712	7	132	[12]
246	0.133631297203	0.308485975478	7.4832769039	0.587029139784	717	6	133	[13]
247	0.133486248105	0.308099549056	7.4914083975	0.587498189857	732	1	134	[13]
248	0.133341777976	0.307714793645	7.4995250190	0.587963553395	725	5	135	[12]
249	0.133172202471	0.307263340771	7.5090745775	0.588084989259	726	6	134	[13]
250	0.133019155938	0.306856043819	7.5177142190	0.588413423645	727	7	137	[12]
251	0.132875845086	0.306474786414	7.5258223145	0.588859709527	735	5	138	[13]
252	0.132731660835	0.306091332615	7.5339974932	0.589283290655	718	12	137	[13]
253	0.132583357799	0.305697058018	7.5424247553	0.589640848384	732	7	138	[12]
254	0.132482775180	0.305429728401	7.5481510607	0.590625192431	714	15	138	[13]
255	0.132224141801	0.304742614240	7.5629154130	0.589484582818	744	6	141	[13]
256	0.132081965229	0.304365066602	7.5710563381	0.589889317746	765		140	[13]
257	0.131915363620	0.303922816028	7.5806181521	0.589955507861	721	14	141	[12]
258	0.131688013226	0.303319579211	7.5937055735	0.589194172218	757	5	142	[12]
259	0.131484220664	0.302779117645	7.6054753563	0.588736109674	751	8	143	[12]
260	0.131335797550	0.302385656459	7.6140703346	0.589010036630	760	4	143	[13]
261	0.131149067340	0.301890836299	7.6249112577	0.588757058385	770	3	144	[13]
262	0.130974054754	0.301427259958	7.6350999584	0.588649947663	756	9	146	[12]
263	0.130837875697	0.301066675684	7.6430467452	0.589055480836	780	2	146	[12]
264	0.130688617398	0.300671589061	7.6517758004	0.589273915361	763	9	143	[12]
265	0.130517998362	0.300220126732	7.6617785482	0.589192334931	748	13	137	[31]
266	0.130320175263	0.299696903518	7.6734089559	0.588730590976	754	12	137	[31]
267	0.130173425439	0.299308917999	7.6820595035	0.588949776075	759	11	137	[31]
268	0.129972823646	0.298778767327	7.6939160968	0.588426815761	792	3	145	[12]
269	0.129844321441	0.298439289981	7.7015304859	0.588872350674	751	14	137	[31]
270	0.129730440741	0.298138523542	7.7082910864	0.589507649340	771	7	137	[31]
271	0.129662548876	0.297959254100	7.7123271806	0.590762547645	772	12	137	[31]
272	0.129528009572	0.297604083753	7.7203378891	0.591098666570	783	9	138	[31]
273	0.129399221215	0.297264198168	7.7280217811	0.591503930325	781	6	139	[31]
274	0.129267249991	0.296916016975	7.7359114553	0.591856051172	807	4	140	[13]
275	0.129105916045	0.296490511127	7.7455784416	0.591794772069	798	8	140	[31]
276	0.128970359111	0.296133112024	7.7537195903	0.592077843495	780	15	139	[12]
277	0.128848698648	0.295812446008	7.7610407439	0.592543009431	805	7	142	[31]
278	0.128690274591	0.295395014743	7.7705949667	0.592491301247	805	9	142	[12]
279	0.128556441630	0.295042496775	7.7786845009	0.592769339398	802	10	141	[13]
280	0.128457406677	0.294781706967	7.7846815210	0.593520169060	805	11	140	[13]
281	0.128358017827	0.294520044817	7.7907092750	0.594258394798	805	12	140	[13]
282	0.128173052703	0.294033243869	7.8019519619	0.593798768369	799	15	145	[13]
283	0.128113371705	0.293876216351	7.8055864637	0.595072415420	826	7	139	[12]
284	0.127946810321	0.293438088032	7.8157477900	0.594848992827	835	4	142	[12]
285	0.127804093207	0.293062813552	7.8244755305	0.594948193057	826	7	142	[12]
286	0.127663013473	0.292691965249	7.8331223179	0.595060753992	826	10	145	[12]
287	0.127507093530	0.292282246846	7.8427009221	0.594956119173	822	12	143	[13]
288	0.127378100251	0.291943395616	7.8506430700	0.595219005672	830	10	144	[13]
289	0.127225966866	0.291543886587	7.8600306575	0.595148197790	829	12	146	[12]
290	0.127067217822	0.291127153011	7.8698504393	0.594974785253	837	10	146	[12]
291	0.126915642873	0.290729393642	7.8792493767	0.594892441401	848	7	146	[13]
292	0.126779995085	0.290373547036	7.8876797505	0.595024767404	842	8	148	[13]
293	0.126641079987	0.290009243818	7.8963319019	0.595102037056	854	4	149	[12]
294	0.126494097683	0.289623910605	7.9055072001	0.595056378426	844	11	149	[13]
295	0.126382215143	0.289330682900	7.9125057182	0.595497448926	851	10	150	[13]
296	0.126235791265	0.288947040868	7.9216836206	0.595441679421	844	13	151	[13]
297	0.126109478031	0.288616193586	7.9296181034	0.595661641186	872	5	151	[13]
298	0.125962080860	0.288230242880	7.9388971123	0.595574018136	859	10	150	[13]
299	0.125824137614	0.287869164612	7.9476006668	0.595611501733	870	6	153	[12]
300	0.125649563411	0.287412365004	7.9586428544	0.595119535109	886	4	154	[12]
301	0.125489887710	0.286994709259	7.9687695817	0.594829758670	881	4	157	[12]
302	0.125373595136	0.286690624566	7.9761611599	0.595148278572	872	7	157	[12]
303	0.125214541764	0.286274858790	7.9862928531	0.594849271435	885	7	155	[12]
304	0.125088795793	0.285946265613	7.9943211033	0.595016239118	876	11	156	[13]
305	0.124934320247	0.285542726992	8.0042057140	0.594764603089	892	7	158	[13]
306	0.124806919979	0.285210024686	8.0123762382	0.594891034114	886	9	157	[13]
307	0.124649452632	0.284798936853	8.0224981248	0.594578913017	884	9	157	[12]
308	0.124499156334	0.284406707852	8.0321829436	0.594360503407	907	2	158	[12]
309	0.124380115475	0.284096141884	8.0398703296	0.594581437245	898	4	158	[31]
310	0.124282307945	0.283841034782	8.0461975364	0.595099550997	912	4	158	[12]
311	0.124130493195	0.283445175865	8.0560382406	0.594834065074	897	8	159	[12]
312	0.124016640410	0.283148393294	8.0634340415	0.595106207856	925	3	160	[13]
313	0.123879238875	0.282790328392	8.0723776565	0.595031452613	908	9	167	[12]
314	0.123746103538	0.282443488212	8.0810625257	0.595009975598	910	6	169	[31]
315	0.123711347569	0.282352960353	8.0833328522	0.596402103697	925	6	170	[12]
316	0.123588535871	0.282033133818	8.0913653759	0.596515378382	916	7	170	[12]
317	0.123478667870	0.281747091243	8.0985648554	0.596808594624	894	18	170	[12]
318	0.123337706583	0.281380201952	8.1078206147	0.596643241999	931	5	170	[12]
319	0.123166324303	0.280934292823	8.1191024061	0.596027949398	922	10	170	[12]
320	0.122988212784	0.280471059971	8.1308604895	0.595306260763	947	2	170	[31]
321	0.122857028382	0.280129995581	8.1395424680	0.595257741301	938	6	170	[31]
322	0.122733027190	0.279807700492	8.1477661140	0.595305931995	946	4	170	[12]
323	0.122567710303	0.279378162262	8.1587556587	0.594744920508	947	6	170	[12]
324	0.122437988244	0.279041222396	8.1673997943	0.594694012181	947	3	170	[12]
325	0.122349756395	0.278812106044	8.1732896694	0.595240794828	943	7	172	[12]
326	0.122223498947	0.278484326705	8.1817327160	0.595225785726	956	5	172	[12]
327	0.122129626255	0.278240683153	8.1880214544	0.595677007121	957	7	174	[12]
328	0.122036558605	0.277999180492	8.1942658121	0.596133736526	971	2	175	[12]
329	0.121948907393	0.277771779842	8.2001554698	0.596663729938	970	4	175	[31]
330	0.121781697486	0.277338099508	8.2114145282	0.596018869985	960	8	175	[31]
331	0.121647969536	0.276991377754	8.2204413589	0.595857742550	971	4	175	[12]
332	0.121479095089	0.276553681102	8.2318690246	0.595172324274	976	4	175	[31]
333	0.121355295231	0.276232917748	8.2402667152	0.595141762658	959	7	176	[12]
334	0.121216978665	0.275874648742	8.2496694028	0.594890223665	970	8	177	[31]
335	0.121137881518	0.275669821172	8.2550560359	0.595504064674	986	4	176	[12]
336	0.121001809184	0.275317538644	8.2643392421	0.595271196569	958	6	177	[31]
337	0.120914842080	0.275092443527	8.2702833068	0.595756432047	986	6	177	[12]
338	0.120703267160	0.274545014561	8.2847798865	0.594393124399	962	14	169	[31]
339	0.120585073857	0.274239315872	8.2929003401	0.594402133196	974	10	169	[31]
340	0.120577042572	0.274218546499	8.2934527060	0.596036423149	997	7	171	[12]
341	0.120383163985	0.273717280198	8.3068094150	0.594910507448	964	14	171	[31]
342	0.120285441497	0.273464705873	8.3135580462	0.595203266233	1002	7	171	[12]
343	0.120193022437	0.273225890456	8.3199505239	0.595568732308	993	10	172	[31]
344	0.120075889218	0.272923284513	8.3280665795	0.595560487861	1002	7	172	[31]
345	0.119943330848	0.272580925871	8.3372705504	0.595315801753	994	11	172	[31]
346	0.119808091145	0.272231748418	8.3466816843	0.595024084945	992	13	172	[31]
347	0.119652968571	0.271831367175	8.3575026340	0.594428889783	980	15	171	[31]
348	0.119564574031	0.271603278342	8.3636813672	0.594821703981	989	16	171	[31]
349	0.119475669684	0.271373920221	8.3699049576	0.595201267619	1013	11	174	[12]
350	0.119337513847	0.271017593512	8.3795947122	0.594838407475	997	13	173	[31]
351	0.119279658177	0.270868407400	8.3836591694	0.595670748909	1010	9	174	[31]
352	0.119157854555	0.270554389730	8.3922289784	0.595539660226	1008	14	172	[31]
353	0.119070033249	0.270328034562	8.3984187516	0.595911998765	1020	9	173	[31]
354	0.118974323096	0.270081397659	8.4051749485	0.596160214816	1017	14	174	[31]
355	0.118854571874	0.269772884430	8.4136435329	0.596040855078	1002	20	175	[31]
356	0.118779157079	0.269578637484	8.4189854903	0.596582781789	1015	13	175	[31]
357	0.118618627955	0.269165271057	8.4303790833	0.595836227172	1021	13	176	[31]
358	0.118522632340	0.268918151930	8.4372071415	0.596055763780	1012	15	177	[31]
359	0.118404239932	0.268613451413	8.4456435055	0.595931320668	1026	14	178	[31]
360	0.118283271789	0.268302206377	8.4542808537	0.595761572842	1023	17	179	[31]
361	0.118153869399	0.267969354968	8.4635400016	0.595457882084	1034	14	180	[31]
362	0.118074544675	0.267765362622	8.4692259686	0.595905520881	1036	15	180	[31]
363	0.117970095784	0.267496816650	8.4767244898	0.595967286219	1042	12	180	[31]
364	0.117876294872	0.267255701635	8.4834699045	0.596184681721	1062	9	180	[31]
364	0.117876598876	0.267256482995	8.4834480256	0.596189294437	1062	9	180	[31]
365	0.117794424192	0.267045295161	8.4893661721	0.596577768308	1047	13	181	[12]
366	0.117520146777	0.266340690607	8.5091792976	0.594043243900	1039	19	181	[12]
367	0.117447682865	0.266154607687	8.5144293664	0.594565113569	1057	13	181	[12]
368	0.117273951938	0.265708601656	8.5270427360	0.593543426981	1060	14	178	[12]
369	0.117215164754	0.265557721597	8.5313193229	0.594261743952	1087	6	184	[12]
370	0.117114430783	0.265299229858	8.5386573910	0.594337262842	1068	13	181	[13]
371	0.117175290613	0.265455394184	8.5342224864	0.596873128986	1048	21	183	[12]
372	0.116903802401	0.264758930497	8.5540416946	0.594331640570	1060	17	182	[12]
373	0.116773297226	0.264424290749	8.5636016431	0.593935742278	1093	6	186	[12]
374	0.116679996503	0.264185110812	8.5704493484	0.594101740229	1082	10	184	[31]
375	0.116616390376	0.264022083058	8.5751239322	0.594716587124	1048	25	183	[12]
376	0.116499137870	0.263721616726	8.5837545091	0.594505640321	1087	10	184	[31]
377	0.116410728185	0.263495114524	8.5902735563	0.594730714389	1096	9	184	[31]
378	0.116306252511	0.263227510303	8.5979900342	0.594704175361	1097	11	184	[31]
379	0.116206397460	0.262971800489	8.6053782051	0.594742978082	1110	6	185	[31]
380	0.116135496294	0.262790271148	8.6106318216	0.595221400238	1102	11	186	[31]
381	0.116004422551	0.262454757716	8.6203610001	0.594769398344	1094	11	186	[31]
382	0.115932019953	0.262269469249	8.6257446424	0.595214594741	1088	17	187	[31]
383	0.115874189434	0.262121494587	8.6300495812	0.595880126786	1098	14	187	[31]
384	0.115771402807	0.261858535621	8.6377116952	0.595847486172	1096	18	187	[31]
385	0.115617662736	0.261465336572	8.6491975044	0.595022360502	1108	13	188	[31]
386	0.115509941247	0.261189914129	8.6572635152	0.594901951445	1131	7	189	[31]
387	0.115441262916	0.261014352301	8.6624138955	0.595379905448	1102	19	190	[12]
388	0.115345328401	0.260769161356	8.6696185607	0.595431429889	1131	9	189	[31]
389	0.115208060528	0.260418422430	8.6799482208	0.594837305892	1132	11	189	[12]
390	0.115112211992	0.260173580316	8.6871756063	0.594879228947	1132	12	191	[12]
391	0.114990173569	0.259861913698	8.6963952568	0.594509701337	1133	9	191	[31]
392	0.114875181577	0.259568321181	8.7051004949	0.594243855223	1129	14	188	[13]
393	0.114815201158	0.259415212073	8.7096481121	0.594827068461	1154	5	192	[31]
394	0.114737039326	0.259215723288	8.7155813491	0.595123554052	1141	7	193	[31]
395	0.114623727242	0.258926584705	8.7241971978	0.594868092371	1153	5	193	[31]
396	0.114521761089	0.258666460803	8.7319649165	0.594783948374	1141	12	193	[31]
397	0.114472931498	0.258541913782	8.7356896247	0.595523523115	1156	11	190	[12]
398	0.114364787737	0.258266126173	8.7439501248	0.595333137311	1165	7	193	[31]
399	0.114261345229	0.258002390690	8.7518661538	0.595210925171	1151	13	193	[31]
400	0.114178913649	0.257792268458	8.7581845723	0.595412175411	1168	10	190	[12]
401	0.114086431800	0.257556574130	8.7652842167	0.595451459789	1153	11	195	[31]
402	0.114010355552	0.257362727131	8.7711330708	0.595743007137	1169	9	194	[31]
403	0.113890079695	0.257056324696	8.7803959983	0.595336810885	1146	18	195	[31]
404	0.113793674438	0.256810792600	8.7878346924	0.595299789001	1167	11	195	[31]
405	0.113685168503	0.256534505490	8.7962221736	0.595067802906	1159	15	195	[31]
406	0.113611646865	0.256347336838	8.8019144832	0.595380490142	1178	9	195	[31]
407	0.113510057619	0.256088765800	8.8097920217	0.595247310220	1185	7	195	[31]
408	0.113411074713	0.255836885570	8.8174810311	0.595150168562	1185	9	196	[31]
409	0.113265325018	0.255466100995	8.8288273560	0.594311637732	1193	6	196	[31]
410	0.113175734012	0.255238243591	8.8358163411	0.594352120129	1191	10	197	[31]
411	0.113103618271	0.255054864585	8.8414501259	0.594663547803	1180	15	197	[31]
412	0.113004729788	0.254803455176	8.8491871259	0.594548214922	1178	16	197	[31]
413	0.112981895691	0.254745410815	8.8509755823	0.595630082400	1196	11	198	[31]
414	0.112880707007	0.254488224749	8.8589097864	0.595469475270	1205	10	199	[31]
415	0.112781697441	0.254236634018	8.8666869066	0.595338510974	1185	12	198	[31]
416	0.112727182681	0.254098131896	8.8709748280	0.595908101653	1208	9	198	[31]
417	0.112651857705	0.253906786604	8.8769064299	0.596143933394	1207	12	198	[31]
418	0.112587494947	0.253743313975	8.8819810803	0.596549863354	1201	15	198	[31]
419	0.112490747890	0.253497634245	8.8896199799	0.596436805530	1219	9	199	[31]
420	0.112390411863	0.253242897250	8.8975561475	0.596261925988	1212	11	199	[31]
421	0.112295906029	0.253003014838	8.9050441406	0.596175145375	1215	12	199	[31]
422	0.112197345902	0.252752895892	8.9128668059	0.596019133246	1228	11	200	[31]
423	0.112083102526	0.252463046588	8.9219514580	0.595608379722	1244	6	201	[31]
424	0.111977673828	0.252195627356	8.9303516122	0.595333307318	1237	6	202	[31]
425	0.111898684934	0.251995314130	8.9366555164	0.595475472731	1248	7	204	[31]
426	0.111842836312	0.251853705367	8.9411180276	0.595983334316	1252	4	204	[31]
427	0.111734835400	0.251579910713	8.9497603538	0.595653441982	1246	8	204	[31]
428	0.111661469182	0.251393956939	8.9556407177	0.595873102971	1233	13	205	[31]
429	0.111600281716	0.251238894879	8.9605508572	0.596284012031	1251	10	205	[31]
430	0.111504968886	0.250997394428	8.9682102062	0.596143918816	1246	12	206	[31]
431	0.111444698649	0.250844710463	8.9730602902	0.596561899307	1260	7	206	[31]
432	0.111366048770	0.250645496080	8.9793973212	0.596680961313	1260	7	206	[31]
433	0.111270438881	0.250403370720	8.9871129300	0.596523145758	1228	19	206	[31]
434	0.111187744784	0.250193995710	8.9937969507	0.596568741939	1248	15	206	[31]
435	0.111108845526	0.249994265253	9.0001835161	0.596671318582	1232	20	206	[31]
436	0.111016704575	0.249761058832	9.0076534323	0.596556365236	1279	6	203	[31]
437	0.110937676492	0.249561079259	9.0140701665	0.596648611030	1286	6	204	[31]
438	0.110848742456	0.249336075309	9.0213021622	0.596576884979	1272	9	203	[31]
439	0.110765342551	0.249125113655	9.0280946817	0.596590323589	1238	23	204	[31]
440	0.110705981729	0.248974983423	9.0329355685	0.596988464156	1282	11	204	[31]
441	0.110623996637	0.248767666810	9.0396300116	0.597016897785	1268	12	205	[31]
442	0.110549720792	0.248579877653	9.0457035335	0.597166201511	1282	11	205	[31]
443	0.110446654560	0.248319350664	9.0541447723	0.596844811742	1291	7	206	[31]
444	0.110392887968	0.248183465432	9.0585545718	0.597318897858	1291	10	206	[31]
445	0.110321411303	0.248002846656	9.0644235619	0.597502102631	1301	7	207	[31]
446	0.110211526379	0.247725228290	9.0734611239	0.597057159325	1310	6	208	[31]
447	0.110161398438	0.247598605510	9.0775899197	0.597579711629	1300	11	208	[31]
448	0.110053875841	0.247327052398	9.0864587218	0.597164579660	1306	8	209	[31]
449	0.109981103306	0.247143299350	9.0924710694	0.597311061367	1314	7	210	[31]
450	0.109900761061	0.246940467428	9.0991180620	0.597330393969	1305	9	211	[31]
451	0.109820239412	0.246737219323	9.1057896554	0.597342892147	1307	9	211	[31]
452	0.109761802195	0.246589738488	9.1106375807	0.597712202648	1326	6	211	[31]
453	0.109697419645	0.246427275548	9.1159847081	0.597981072889	1295	13	212	[31]
454	0.109638408689	0.246278387923	9.1208912275	0.598334470112	1299	18	212	[31]
455	0.109550521407	0.246056680454	9.1282084937	0.598211480463	1313	15	212	[31]
456	0.109465855075	0.245843139646	9.1352687038	0.598137269963	1306	15	212	[31]
457	0.109380035794	0.245626732367	9.1424362110	0.598040207566	1329	10	214	[31]
458	0.109275478310	0.245363130012	9.1511839203	0.597631701085	1301	19	201	[31]
459	0.109237516999	0.245267440162	9.1543640635	0.598312595192	1264	30	202	[31]
460	0.109207887178	0.245192757337	9.1568477867	0.599128317286	1298	21	203	[31]
461	0.109189683761	0.245146877558	9.1583743588	0.600130570126	1310	17	203	[31]
462	0.109142505526	0.245027978556	9.1623331825	0.600653115226	1301	23	204	[31]
463	0.109115138491	0.244959013686	9.1646311761	0.601500531829	1310	23	204	[31]
464	0.109073240886	0.244853440017	9.1681515271	0.602105553643	1304	26	205	[31]
465	0.109044509415	0.244781048138	9.1705671873	0.602926485097	1301	26	205	[31]
466	0.109000034616	0.244668998542	9.1743090131	0.603484088955	1288	33	206	[31]
467	0.108864988571	0.244328832725	9.1856896613	0.602534022274	1339	16	206	[31]
468	0.108803052611	0.244172857481	9.1909186002	0.602794240001	1322	23	209	[31]
469	0.108767267507	0.244082748628	9.1939424693	0.603486413594	1270	43	210	[31]
470	0.108726108555	0.243979117079	9.1974228940	0.604086862629	1324	21	210	[31]
471	0.108699029729	0.243910942218	9.1997141326	0.604919952838	1341	19	211	[31]
472	0.108644378486	0.243773362424	9.2043418531	0.605290389024	1363	14	212	[31]
473	0.108594879289	0.243648767021	9.2085373320	0.605744084205	1314	30	213	[31]
474	0.108528020268	0.243480496831	9.2142102798	0.605904229593	1329	25	214	[31]
475	0.108480119790	0.243359956852	9.2182789062	0.606378895887	1350	18	215	[31]
476	0.108413978289	0.243193535225	9.2239028194	0.606544678233	1361	16	216	[31]
477	0.108356031972	0.243047754165	9.2288355507	0.606844830995	1336	24	217	[31]
478	0.108304218884	0.242917419097	9.2332506555	0.607245101323	1310	27	218	[31]
479	0.108221539877	0.242709472623	9.2403046671	0.607122937306	1369	17	218	[31]
480	0.108157354717	0.242548066722	9.2457882556	0.607308567624	1388	14	218	[31]
481	0.108082518969	0.242359907206	9.2521899891	0.607311422784	1375	16	218	[31]
482	0.108036607021	0.242244486425	9.2561218607	0.607798812588	1395	9	216	[31]
483	0.107988338447	0.242123153994	9.2602591574	0.608243823790	1364	23	217	[31]
484	0.107959979094	0.242051873378	9.2626916788	0.609023059955	1367	24	218	[31]
485	0.107843677404	0.241759599014	9.2726808291	0.608311188605	1409	11	218	[31]
486	0.107732492817	0.241480255528	9.2822506363	0.607682033718	1387	17	219	[31]
487	0.107621218500	0.241200756296	9.2918479640	0.607047501303	1396	15	220	[31]
488	0.107519113994	0.240944351146	9.3006718792	0.606564309746	1421	7	219	[31]
489	0.107443989148	0.240755734859	9.3071749098	0.606534113508	1418	13	220	[31]
490	0.107366755128	0.240561856160	9.3138700038	0.606464750958	1387	24	221	[31]
491	0.107283376938	0.240352591553	9.3211085309	0.606287756243	1391	22	223	[31]
492	0.107182741658	0.240100066742	9.3298602418	0.605814533907	1420	12	222	[31]
493	0.107108150081	0.239912930308	9.3363576837	0.605779363624	1409	17	224	[31]
494	0.107028884570	0.239714102104	9.3432721832	0.605661470887	1436	9	224	[31]
495	0.106936005370	0.239481170471	9.3513872764	0.605308913930	1416	16	224	[31]
496	0.106860370420	0.239291521463	9.3580061164	0.605245685636	1442	13	225	[31]
497	0.106793118213	0.239122918532	9.3638992543	0.605321627728	1452	11	226	[31]
498	0.106721925963	0.238944465480	9.3701457407	0.605327361882	1429	15	227	[31]
499	0.106672570989	0.238820767223	9.3744810941	0.605701756320	1454	12	226	[31]
500	0.106603510305	0.238647703532	9.3805541407	0.605737584305	1435	17	225	[31]
501	0.106538923505	0.238485875453	9.3862408883	0.605846549301	1427	19	226	[31]
502	0.106473268951	0.238321395994	9.3920287209	0.605934221843	1434	18	227	[31]
503	0.106380508645	0.238089051713	9.4002182612	0.605555806198	1448	16	224	[31]
504	0.106312075409	0.237917672342	9.4062691952	0.605589485081	1447	16	225	[31]
505	0.106240315145	0.237737989183	9.4126226813	0.605563135472	1431	23	225	[31]
506	0.106170516542	0.237563245579	9.4188107261	0.605567149487	1458	15	226	[31]
507	0.106111354249	0.237415151772	9.4240621758	0.605750151082	1437	24	228	[31]
508	0.106040807869	0.237238587180	9.4303317760	0.605735177289	1452	19	229	[31]
509	0.105969485140	0.237060107858	9.4366788578	0.605703739907	1464	15	230	[31]
510	0.105885890028	0.236850954139	9.4441289556	0.605458597344	1459	18	231	[31]
511	0.105835139731	0.236723996734	9.4486576249	0.605773907045	1460	20	231	[31]
512	0.105743976594	0.236495978392	9.4568034247	0.605392276746	1460	18	230	[31]
513	0.105678319338	0.236331784464	9.4626788755	0.605445504148	1478	16	231	[31]
514	0.105636390866	0.236226943465	9.4664347371	0.605903949683	1454	27	231	[31]
515	0.105552865374	0.236018119546	9.4739256624	0.605643849196	1492	13	231	[31]
516	0.105504507822	0.235897237592	9.4782679968	0.605986220906	1473	19	232	[31]
517	0.105448533289	0.235757331383	9.4832992818	0.606194753479	1482	17	233	[31]
518	0.105377068467	0.235578733236	9.4897306838	0.606133234869	1473	20	231	[31]
519	0.105321895555	0.235440869809	9.4947018826	0.606349967050	1502	9	231	[31]
520	0.105250391825	0.235262225014	9.5011522775	0.606281766777	1469	22	231	[31]
521	0.105183453841	0.235095013145	9.5071987417	0.606289441905	1504	12	232	[31]
522	0.105122571253	0.234942949450	9.5127049128	0.606398932379	1512	12	233	[31]
523	0.105040926092	0.234739060488	9.5200988529	0.606146099722	1498	17	233	[31]
524	0.104964960604	0.234549388535	9.5269887613	0.605988424348	1489	22	234	[31]
525	0.104913657994	0.234421313499	9.5316474434	0.606255082553	1511	17	232	[31]
526	0.104841520857	0.234241250683	9.5382057779	0.606157776352	1524	14	233	[31]
527	0.104769762535	0.234062162225	9.5447386326	0.606064008486	1509	19	234	[31]
528	0.104675176153	0.233826145249	9.5533634311	0.605570936681	1531	12	236	[31]
529	0.104609384536	0.233662007909	9.5593717948	0.605574546890	1528	17	234	[31]
530	0.104562889847	0.233546027212	9.5636224426	0.605910672381	1553	7	234	[31]
531	0.104515802466	0.233428580323	9.5679311301	0.606234152986	1525	19	234	[31]
532	0.104454234966	0.233275035279	9.5735706678	0.606303101846	1541	16	233	[31]
533	0.104392108184	0.233120116823	9.5792681784	0.606359538295	1549	12	235	[31]
534	0.104350486088	0.233016340582	9.5830890443	0.606770818960	1544	15	234	[31]
535	0.104275022672	0.232828212479	9.5900242875	0.606589182114	1555	12	235	[31]
536	0.104222591898	0.232697522745	9.5948486963	0.606806742563	1536	16	235	[31]
537	0.104162274809	0.232547194386	9.6004047707	0.606883951992	1563	11	236	[31]
538	0.104117442283	0.232435471338	9.6045386640	0.607229340810	1557	13	237	[31]
539	0.104072101923	0.232322494135	9.6087230057	0.607563595018	1542	18	237	[31]
540	0.104014357982	0.232178626764	9.6140573225	0.607678174146	1564	13	238	[31]
541	0.103954713358	0.232030043364	9.6195734440	0.607756791743	1563	14	238	[31]
542	0.103877543485	0.231837831382	9.6267197553	0.607525202631	1576	13	241	[31]
543	0.103813168022	0.231677512584	9.6326893693	0.607515220174	1578	13	241	[31]
544	0.103762393040	0.231551080281	9.6374030196	0.607741421421	1564	16	240	[31]
545	0.103675596304	0.231334985138	9.6454714094	0.607331949155	1571	17	240	[31]
546	0.103630212824	0.231222011957	9.6496955159	0.607647636321	1582	11	242	[31]
547	0.103547847680	0.231017009467	9.6573711806	0.607310171425	1577	15	243	[31]
548	0.103501884309	0.230902625444	9.6616598497	0.607610580560	1585	15	240	[31]
549	0.103447524865	0.230767362164	9.6667368437	0.607760759903	1608	8	240	[31]
550	0.103385427828	0.230612865409	9.6725430364	0.607771984666	1593	14	240	[31]
551	0.103331966431	0.230479871174	9.6775473703	0.607932948071	1590	15	240	[31]
552	0.103263118500	0.230308623701	9.6839996170	0.607819721126	1607	11	242	[31]
553	0.103180338282	0.230102756856	9.6917689615	0.607457604942	1597	14	243	[31]
554	0.103131402846	0.229981076767	9.6963676669	0.607690630818	1581	20	244	[31]
555	0.103063526303	0.229812320774	9.7027535916	0.607586304896	1611	12	245	[31]
556	0.103006580698	0.229670761193	9.7081176098	0.607672670234	1621	12	244	[31]
557	0.102945873502	0.229519870565	9.7138424881	0.607689908126	1614	14	245	[31]
558	0.102857995725	0.229301482339	9.7221416085	0.607223221229	1615	14	244	[31]
559	0.102802374597	0.229163278382	9.7274017640	0.607325123384	1626	13	244	[31]
560	0.102743084333	0.229015976447	9.7330151853	0.607359493356	1631	10	245	[31]
561	0.102680202122	0.228859771878	9.7389757649	0.607327583012	1621	19	246	[31]
562	0.102631457251	0.228738700682	9.7436012972	0.607544091884	1651	7	246	[31]
563	0.102584263859	0.228621495539	9.7480837936	0.607785918361	1628	12	247	[31]
564	0.102522611653	0.228468400395	9.7539458260	0.607768358926	1641	11	246	[31]
565	0.102441449478	0.228266890040	9.7616736691	0.607401125431	1638	16	248	[31]
566	0.102398929857	0.228161336395	9.7657270579	0.607718818878	1630	17	248	[31]
567	0.102341613035	0.228019064983	9.7711963916	0.607770801764	1653	11	248	[31]
568	0.102290481900	0.227892162972	9.7760806424	0.607930607759	1652	13	250	[31]
569	0.102212159840	0.227697804019	9.7835717547	0.607603074449	1636	20	249	[31]
570	0.102148263938	0.227539269203	9.7896915860	0.607530135994	1653	12	250	[31]
571	0.102098690757	0.227416286636	9.7944448904	0.607710342160	1654	14	253	[31]
572	0.102003984874	0.227181375321	9.8035385699	0.607082121795	1659	14	253	[31]
573	0.101941888475	0.227027376439	9.8095102510	0.607033481818	1652	19	253	[31]
574	0.101876059122	0.226864143098	9.8158488719	0.606915602925	1658	17	252	[31]
575	0.101800846683	0.226677672334	9.8231010113	0.606627389333	1661	16	252	[31]
576	0.101741002638	0.226529326034	9.8288789580	0.606611337602	1680	11	252	[31]
577	0.101677574268	0.226372116193	9.8350103963	0.606528682284	1675	13	253	[31]
578	0.101594039888	0.226165106643	9.8430971059	0.606083595809	1688	9	254	[31]
579	0.101532963655	0.226013775793	9.8490181317	0.606037855598	1685	13	254	[31]
580	0.101503915584	0.225941809530	9.8518366926	0.606563650638	1675	17	253	[31]
581	0.101455489208	0.225821844081	9.8565391366	0.606740213969	1686	14	253	[31]
582	0.101390180893	0.225660077905	9.8628880153	0.606611554501	1680	15	254	[31]
583	0.101324724608	0.225497968806	9.8692594909	0.606477719917	1703	9	255	[31]
584	0.101249350682	0.225311326914	9.8766065488	0.606163228462	1695	15	255	[31]
585	0.101145249908	0.225053602704	9.8867717556	0.605330199950	1674	26	257	[31]
586	0.101077025574	0.224884730838	9.8934450665	0.605138766905	1690	15	257	[31]
587	0.100991178421	0.224672274614	9.9018549505	0.604628230340	1685	15	254	[31]
588	0.100958081403	0.224590376299	9.9051010687	0.605062994144	1703	10	255	[31]
589	0.100880682694	0.224398877329	9.9127005616	0.604699114400	1682	24	255	[31]
590	0.100841615437	0.224302230105	9.9165408613	0.605022316988	1707	17	256	[31]
591	0.100793738314	0.224183799888	9.9212512278	0.605184978487	1724	12	255	[31]
592	0.100752089875	0.224080787379	9.9253524293	0.605457825542	1708	17	255	[31]
593	0.100706776032	0.223968719764	9.9298184234	0.605662621781	1712	15	256	[31]
594	0.100655851806	0.223842790346	9.9348421582	0.605764097996	1723	15	257	[31]
595	0.100617317148	0.223747508299	9.9386470276	0.606087273922	1719	15	256	[31]
596	0.100551433992	0.223584622382	9.9451590127	0.605914109113	1740	11	257	[31]
597	0.100504580752	0.223468799509	9.9497952483	0.606082717131	1709	18	258	[31]
598	0.100457950491	0.223353539829	9.9544137135	0.606253312771	1734	14	259	[31]
599	0.100395470625	0.223199122162	9.9606087185	0.606134748716	1708	23	259	[31]
600	0.100152367749	0.222598502591	9.9847864057	0.602746800479	1738	18	265	[31]
600	0.100350370570	0.223087671661	9.9650852739	0.606328792783	1742	15	258	[31]
601	0.100290111760	0.222938778535	9.9710727454	0.606245904627	1764	7	260	[31]
602	0.100242378119	0.222820847929	9.9758207932	0.606387967137	1748	14	261	[31]
603	0.100195690513	0.222705513758	9.9804691687	0.606546973424	1732	20	260	[31]
604	0.100133238465	0.222551254797	9.9866938824	0.606417499165	1749	15	261	[31]
605	0.100067124236	0.222387973439	9.9932920790	0.606219122844	1777	8	262	[31]
606	0.100028526834	0.222292661082	9.9971481301	0.606518765801	1755	11	259	[31]
607	0.099952933167	0.222106013897	10.0047088996	0.606143316311	1775	9	263	[31]
608	0.099902591733	0.221981734011	10.0097503243	0.606225003327	1742	23	261	[31]
609	0.099846883484	0.221844221060	10.0153351322	0.606206842407	1755	14	262	[31]
610	0.099802965878	0.221735824703	10.0197423113	0.606401375409	1778	12	261	[31]
611	0.099758517352	0.221626128711	10.0242067198	0.606584303390	1781	16	262	[31]
612	0.099697779354	0.221476248903	10.0303136788	0.606467981578	1779	17	263	[31]
613	0.099646604688	0.221349983699	10.0354648624	0.606524000106	1774	15	264	[31]
614	0.099582901460	0.221192826350	10.0418845539	0.606349045833	1795	11	264	[31]
615	0.099523765335	0.221046956052	10.0478513512	0.606255248504	1792	9	265	[31]
616	0.099461929150	0.220894446042	10.0540981715	0.606109858070	1799	9	266	[31]
617	0.099416834886	0.220783240765	10.0586585878	0.606268440469	1798	14	262	[31]
618	0.099363465035	0.220651641761	10.0640612689	0.606273602133	1806	14	263	[31]
619	0.099302168183	0.220500515656	10.0702735731	0.606131482997	1787	19	263	[31]
620	0.099254722861	0.220383554330	10.0750873225	0.606240900033	1815	10	264	[31]
621	0.099193587360	0.220232862396	10.0812968521	0.606097357998	1803	16	265	[31]
622	0.099144376206	0.220111577454	10.0863007895	0.606170278768	1785	20	266	[31]
623	0.099079285722	0.219951176950	10.0929270201	0.605949801783	1789	20	267	[31]
624	0.099024874424	0.219817110624	10.0984727910	0.605923073477	1805	19	268	[31]
625	0.098949400457	0.219631173892	10.1061754329	0.605507488700	1827	14	269	[31]
626	0.098897054625	0.219502233641	10.1115245928	0.605514302481	1809	20	270	[31]
627	0.098840339433	0.219362547522	10.1173266476	0.605438766168	1786	29	271	[31]
628	0.098796481131	0.219254539208	10.1218179894	0.605597499174	1824	15	272	[31]
629	0.098735005356	0.219103162650	10.1281201778	0.605430237709	1823	15	272	[31]
630	0.098647400724	0.218887482664	10.1371145378	0.604780094864	1812	19	273	[31]
631	0.098601366592	0.218774164809	10.1418472640	0.604892447193	1857	6	271	[31]
632	0.098554252394	0.218658200243	10.1466956089	0.604983014853	1850	11	271	[31]
633	0.098516993013	0.218566500421	10.1505331153	0.605253281646	1825	20	272	[31]
634	0.098469551719	0.218449752655	10.1554235045	0.605334101102	1849	13	273	[31]
635	0.098418021901	0.218322957405	10.1607406925	0.605337558878	1849	13	273	[31]
636	0.098370540798	0.218206137331	10.1656450385	0.605413767006	1866	10	273	[31]
637	0.098317095194	0.218074657221	10.1711711277	0.605377880460	1858	15	274	[31]
638	0.098264433436	0.217945120675	10.1766220496	0.605354454006	1846	17	274	[31]
639	0.098208329466	0.217807133676	10.1824357001	0.605265373680	1871	10	275	[31]
640	0.098145099060	0.217651639876	10.1889957785	0.605042423661	1862	15	275	[31]
641	0.098113531676	0.217574018731	10.1922740209	0.605403260855	1878	11	273	[31]
642	0.098064874574	0.217454386262	10.1973311478	0.605446063278	1864	15	273	[31]
643	0.098028868678	0.217365867429	10.2010766164	0.605721438041	1882	10	274	[31]
644	0.097944604857	0.217158736336	10.2098528189	0.605100376001	1885	12	275	[31]
645	0.097889972378	0.217024463493	10.2155509467	0.605026410096	1894	10	275	[31]
646	0.097828245166	0.216872773154	10.2219967076	0.604818835653	1882	13	276	[31]
647	0.097764410338	0.216715925326	10.2286711140	0.604570060468	1896	9	276	[31]
648	0.097705589009	0.216571415757	10.2348290425	0.604412207613	1846	30	279	[31]
649	0.097645072123	0.216422760283	10.2411722195	0.604220823426	1891	14	280	[31]
650	0.097592268000	0.216293066957	10.2467133974	0.604170602084	1891	16	281	[31]
651	0.097545191481	0.216177454118	10.2516585884	0.604224853830	1900	13	281	[31]
652	0.097501656161	0.216070548664	10.2562360412	0.604343108053	1885	16	280	[31]
653	0.097476118250	0.216007842498	10.2589230876	0.604794537092	1870	23	281	[31]
654	0.097440908382	0.215921393484	10.2626301069	0.605064565804	1899	16	281	[31]
655	0.097394411901	0.215807243352	10.2675295274	0.605122663242	1911	15	281	[31]
656	0.097370137258	0.215747653113	10.2700892508	0.605593473355	1904	13	282	[31]
657	0.097313462813	0.215608539186	10.2760704541	0.605458178505	1890	21	283	[31]
658	0.097269020274	0.215499462096	10.2807656249	0.605549316450	1911	17	283	[31]
659	0.097223361481	0.215387411089	10.2855937582	0.605615961128	1912	16	281	[31]
660	0.097137364459	0.215176397018	10.2946997334	0.604926880835	1921	13	282	[31]
661	0.097109884304	0.215108976421	10.2976129275	0.605329402939	1915	16	284	[31]
662	0.097073013064	0.215018521915	10.3015242696	0.605554895334	1934	9	285	[31]
663	0.097005982520	0.214854097906	10.3086425602	0.605214165782	1926	18	285	[31]
664	0.096920265510	0.214643872093	10.3177596010	0.604521658244	1938	13	283	[31]
665	0.096877930480	0.214540057761	10.3222683953	0.604639065884	1931	19	283	[31]
666	0.096837049863	0.214439819189	10.3266260322	0.604782031918	1954	9	285	[31]
667	0.096781746420	0.214304230537	10.3325269174	0.604652980387	1933	17	283	[31]
668	0.096741712613	0.214206089142	10.3368027399	0.604808347622	1956	12	283	[31]
669	0.096690937381	0.214081628055	10.3422308966	0.604760516775	1963	11	284	[31]
670	0.096659183969	0.214003800678	10.3456284125	0.605067986875	1928	22	284	[31]
671	0.096595205481	0.213847006496	10.3524806953	0.604768597178	1956	14	285	[31]
672	0.096564542269	0.213771867028	10.3557680335	0.605093282622	1948	18	284	[31]
673	0.096510436691	0.213639295041	10.3615736731	0.604975666092	1983	7	285	[31]
674	0.096482751853	0.213571466512	10.3645468314	0.605353338562	1968	13	284	[31]
675	0.096454531091	0.213502329235	10.3675793007	0.605719667170	1959	17	285	[31]
676	0.096395254968	0.213357124336	10.3739546136	0.605499327490	1981	10	285	[31]
677	0.096315424916	0.213161599902	10.3825529594	0.604889719658	1983	11	286	[31]
678	0.096271749508	0.213054642157	10.3872631910	0.604959479431	1966	20	289	[31]
679	0.096218669581	0.212924667378	10.3929934217	0.604850183984	1995	10	288	[31]
680	0.096177184864	0.212823095973	10.3974762977	0.604957820918	1988	10	288	[31]
681	0.096103833891	0.212643525870	10.4054121414	0.604462345716	1980	14	285	[31]
682	0.096054527735	0.212522836127	10.4107533875	0.604418707591	1971	21	283	[31]
683	0.096021722211	0.212442543301	10.4143101891	0.604684974019	1996	14	284	[31]
684	0.096004356280	0.212400041852	10.4161940015	0.605241810360	1995	15	285	[31]
685	0.095960708365	0.212293224980	10.4209318276	0.605300324965	1994	15	285	[31]
686	0.095883838694	0.212105131614	10.4292862449	0.604728384136	2013	12	285	[31]
687	0.095838415814	0.211994000830	10.4342292337	0.604749636545	2013	12	286	[31]
688	0.095776663334	0.211842936253	10.4409567549	0.604459972860	1994	18	287	[31]
689	0.095733921309	0.211738388877	10.4456182963	0.604528481010	1975	22	287	[31]
690	0.095717953069	0.211699332954	10.4473608966	0.605102989640	2006	15	287	[31]
691	0.095697328471	0.211648890319	10.4496125020	0.605588318632	2019	12	287	[31]
692	0.095642167456	0.211513991507	10.4556392499	0.605416597886	1997	24	287	[31]
693	0.095594024801	0.211396269866	10.4609048744	0.605376385444	2004	19	288	[31]
694	0.095570688078	0.211339209860	10.4634592479	0.605806053723	2027	13	289	[31]
695	0.095532016071	0.211244660438	10.4676949271	0.605942805931	2032	15	290	[31]
696	0.095483102939	0.211125084007	10.4730572135	0.605883061810	2011	20	290	[31]
697	0.095421605384	0.210974761175	10.4798069156	0.605581967744	2021	19	290	[31]
698	0.095393795950	0.210906791315	10.4828620147	0.605920735437	2035	16	291	[31]
699	0.095357188331	0.210817323923	10.4868863848	0.606090514371	2043	15	291	[31]
700	0.095315338631	0.210715053987	10.4914908174	0.606158815325	2034	17	292	[31]
701	0.095294844894	0.210664976001	10.4937470764	0.606633291759	2042	14	292	[31]
702	0.095247359176	0.210548949797	10.4989787502	0.606590971503	2039	18	292	[31]
703	0.095192321477	0.210414486385	10.5050489838	0.606402634746	2066	8	293	[31]
704	0.095148399416	0.210307191488	10.5098982867	0.606425032461	2068	9	293	[31]
705	0.095091232625	0.210167557335	10.5162166100	0.606192484855	2072	8	294	[31]
706	0.095027409713	0.210011685951	10.5232795782	0.605830836476	2039	24	294	[31]
707	0.094955904391	0.209837078330	10.5312039985	0.605320437481	2041	22	294	[31]
708	0.094903036389	0.209707998600	10.5370706571	0.605164691323	2048	22	294	[31]
709	0.094867058145	0.209620164637	10.5410668313	0.605330469424	2064	17	295	[31]
710	0.094822772876	0.209512060256	10.5459898468	0.605335720439	2057	22	296	[31]
711	0.094784365136	0.209418312025	10.5502632060	0.605451998860	2090	9	297	[31]
712	0.094738747989	0.209306976916	10.5553432067	0.605428577608	2069	16	297	[31]
713	0.094702905293	0.209219505611	10.5593381418	0.605591034902	2060	21	297	[31]
714	0.094665542369	0.209128331681	10.5635057379	0.605722901650	2088	14	297	[31]
715	0.094627291729	0.209034999320	10.5677757624	0.605836275011	2095	11	295	[31]
716	0.094584787050	0.208931296265	10.5725247282	0.605866435371	2092	14	295	[31]
717	0.094546966658	0.208839030135	10.5767539176	0.605985113604	2095	13	295	[31]
718	0.094501902325	0.208729101845	10.5817975659	0.605962986151	2086	18	295	[31]
719	0.094466299003	0.208642260137	10.5857857305	0.606121365742	2086	20	296	[31]
720	0.094413039243	0.208512364542	10.5917573252	0.605938337509	2090	21	296	[31]
721	0.094352705707	0.208365235123	10.5985301906	0.605617395157	2107	16	296	[31]
722	0.094319688772	0.208284728293	10.6022402429	0.605820931901	2102	16	297	[31]
723	0.094277770212	0.208182524645	10.6069542985	0.605851523582	2125	8	298	[31]
724	0.094239744450	0.208089820397	10.6112342074	0.605955686640	2113	15	299	[31]
725	0.094212850850	0.208024260310	10.6142632452	0.606273301188	2126	9	299	[31]
726	0.094183571832	0.207952889577	10.6175629205	0.606543692338	2125	15	300	[31]
727	0.094152063839	0.207876090634	10.6211160884	0.606769781473	2098	21	300	[31]
728	0.094121121598	0.207800675879	10.6246077716	0.607005548357	2099	23	301	[31]
729	0.094089059356	0.207722536807	10.6282282642	0.607218379634	2136	12	302	[31]
730	0.094041066964	0.207605584613	10.6336522148	0.607121347482	2129	13	303	[31]
731	0.093992946862	0.207488333643	10.6390961597	0.607020243145	2114	18	303	[31]
732	0.093941452505	0.207362874650	10.6449280199	0.606852148273	2103	21	304	[31]
733	0.093901357242	0.207265197873	10.6494733343	0.606903417933	2110	24	303	[31]
734	0.093873126222	0.207196428974	10.6526760133	0.607183419519	2126	21	303	[31]
735	0.093836141279	0.207106342580	10.6568747006	0.607292280172	2125	19	304	[31]
736	0.093807658527	0.207036970484	10.6601104398	0.607564936603	2150	15	304	[31]
737	0.093757545774	0.206914927317	10.6658081944	0.607415933050	2133	21	304	[31]
738	0.093711312486	0.206802344059	10.6710702633	0.607340752609	2160	11	305	[31]
739	0.093684394720	0.206736801561	10.6741363168	0.607639788745	2154	16	304	[31]
740	0.093644029599	0.206638523179	10.6787373876	0.607675882583	2127	26	304	[31]
741	0.093617541139	0.206574035549	10.6817588652	0.607980847776	2157	18	304	[31]
742	0.093556909468	0.206426438560	10.6886814206	0.607619224847	2176	13	305	[31]
743	0.093490912904	0.206265804138	10.6962267127	0.607151420363	2155	18	307	[31]
744	0.093455466634	0.206179538223	10.7002836326	0.607277326517	2174	12	307	[31]
745	0.093417681042	0.206087586507	10.7046116843	0.607356270788	2151	22	307	[31]
746	0.093383971029	0.206005559233	10.7084758656	0.607513370840	2192	10	307	[31]
747	0.093338230267	0.205894267042	10.7137235958	0.607434267663	2201	7	306	[31]
748	0.093288590522	0.205773500911	10.7194244699	0.607277502374	2191	13	307	[31]
749	0.093253602491	0.205688388169	10.7234463151	0.607405432676	2189	14	306	[31]
750	0.093198214836	0.205553664231	10.7298192542	0.607133287352	2182	18	306	[31]
751	0.093170373606	0.205485949939	10.7330255455	0.607398126397	2199	13	307	[31]
752	0.093133715855	0.205396798808	10.7372501013	0.607489300168	2184	20	308	[31]
753	0.093090217680	0.205291021212	10.7422672857	0.607445212741	2197	12	308	[31]
754	0.093029439823	0.205143240381	10.7492854080	0.607061322153	2121	13	309	[31]
755	0.092988307091	0.205043237740	10.7540402797	0.607060499887	2199	14	310	[31]
756	0.092960740159	0.204976221592	10.7572293238	0.607324098687	2207	12	310	[31]
757	0.092904831924	0.204840319282	10.7637028052	0.607030881372	2187	23	311	[31]
758	0.092869253971	0.204753844752	10.7678263499	0.607134729341	2206	20	312	[31]
759	0.092841474893	0.204686330610	10.7710481889	0.607390324103	2195	22	305	[31]
760	0.092811189684	0.204612730291	10.7745628884	0.607595587405	2171	32	305	[31]
761	0.092785545043	0.204550411506	10.7775408285	0.607890878075	2218	18	305	[31]
762	0.092747923778	0.204458994824	10.7819125137	0.607949577026	2203	20	305	[31]
763	0.092713731226	0.204375916217	10.7858888514	0.608074394815	2211	20	306	[31]
764	0.092682958083	0.204301151199	10.7894700459	0.608265266173	2233	14	307	[31]
765	0.092640466426	0.204197923752	10.7944188817	0.608224113494	2241	11	307	[31]
766	0.092595060567	0.204087627349	10.7997121431	0.608124121076	2202	25	308	[31]
767	0.092569745821	0.204026139518	10.8026655051	0.608418733432	2233	19	308	[31]
768	0.092528710549	0.203926474864	10.8074563459	0.608402163971	2229	19	308	[31]
769	0.092490793950	0.203834392717	10.8118868624	0.608445750515	2239	18	308	[31]
770	0.092453722992	0.203744371685	10.8162220800	0.608504701601	2222	25	309	[31]
771	0.092408416019	0.203634360763	10.8215251714	0.608399650829	2204	30	301	[31]
772	0.092367395556	0.203534767490	10.8263310228	0.608377851579	2239	21	302	[31]
773	0.092333423910	0.203452294801	10.8303142855	0.608494020711	2252	15	302	[31]
774	0.092301570185	0.203374969380	10.8340518801	0.608650843059	2224	23	302	[31]
775	0.092243164493	0.203233202736	10.8409116870	0.608281044255	2243	21	300	[31]
776	0.092189090847	0.203101967420	10.8472704396	0.607995433539	2251	19	300	[31]
777	0.092133134367	0.202966178973	10.8538584611	0.607671064621	2242	25	317	[31]
778	0.092091563801	0.202865311367	10.8587579440	0.607629905553	2260	18	318	[31]
779	0.092060461586	0.202789850405	10.8624265268	0.607794690562	2281	13	318	[31]
780	0.092017509022	0.202685646334	10.8674969647	0.607723485489	2204	34	300	[31]
781	0.091988244526	0.202614655529	10.8709542741	0.607922233195	2278	17	319	[31]
782	0.091941370738	0.202500957042	10.8764965322	0.607770583221	2246	29	301	[31]
783	0.091903736350	0.202409678420	10.8809504348	0.607800798179	2279	17	302	[31]
784	0.091866822818	0.202320155515	10.8853225716	0.607844026126	2262	25	301	[31]
785	0.091817311660	0.202200092204	10.8911923244	0.607635830719	2289	12	301	[31]
786	0.091796641514	0.202149971493	10.8936447293	0.607999081268	2258	27	301	[31]
787	0.091762415453	0.202066985587	10.8977079021	0.608091934540	2283	16	302	[31]
788	0.091715083816	0.201952233670	10.9033319100	0.607922922554	2264	29	302	[31]
789	0.091689179512	0.201889435739	10.9064123523	0.608178779179	2289	19	303	[31]
790	0.091658531339	0.201815142215	10.9100591662	0.608339160125	2297	22	303	[31]
791	0.091633042494	0.201753359117	10.9130939319	0.608601198940	2274	27	303	[31]
792	0.091598919945	0.201670653979	10.9171592918	0.608690102741	2282	24	303	[31]
793	0.091575319175	0.201613454826	10.9199728596	0.608987685000	2286	26	304	[31]
794	0.091550097659	0.201552330895	10.9229812482	0.609251964422	2280	24	304	[31]
795	0.091521693633	0.201483498266	10.9263712275	0.609451672812	2264	37	305	[31]
796	0.091474290569	0.201368634084	10.9320334028	0.609270593979	2324	16	305	[31]
797	0.091443691854	0.201294495529	10.9356914591	0.609424031619	2286	31	305	[31]
798	0.091426027382	0.201251698018	10.9378043500	0.609835131064	2307	21	306	[31]
799	0.091377364346	0.201133805742	10.9436292802	0.609624849157	2319	20	306	[31]
800	0.091355171387	0.201080044722	10.9462878217	0.609943204499	2321	21	306	[31]
801	0.091320222634	0.200995388934	10.9504770264	0.610005008594	2315	18	307	[31]
802	0.091299100909	0.200944229285	10.9530103806	0.610342862899	2327	22	307	[31]
803	0.091260166240	0.200849930529	10.9576833048	0.610322403151	2312	27	307	[31]
804	0.091226775557	0.200769065600	10.9616940190	0.610411944496	2339	18	307	[31]
805	0.091193300196	0.200688001564	10.9657178526	0.610498608525	2327	22	308	[31]
806	0.091170820347	0.200633567645	10.9684216528	0.610805064680	2338	23	309	[31]
807	0.091146779438	0.200575356671	10.9713146879	0.611079224331	2331	24	310	[31]
808	0.091115441437	0.200499481653	10.9750881325	0.611205581494	2338	21	311	[31]
809	0.091073930173	0.200398983364	10.9800905495	0.611125994114	2328	26	311	[31]
810	0.091036440882	0.200308230113	10.9846122093	0.611126097360	2339	21	312	[31]
811	0.090996646942	0.200211906009	10.9894159137	0.611078527173	2339	25	313	[31]
812	0.090964561394	0.200134246765	10.9932921643	0.611185044519	2361	18	314	[31]
813	0.090944332970	0.200085289094	10.9957373631	0.611529583650	2378	14	314	[31]
814	0.090904876053	0.199989800096	11.0005100212	0.611485188418	2339	26	315	[31]
815	0.090870966498	0.199907742794	11.0046149891	0.611551520590	2376	18	315	[31]
816	0.090841295601	0.199835947589	11.0082093544	0.611702305813	2358	22	315	[31]
817	0.090814612524	0.199771386067	11.0114437777	0.611912407652	2358	23	316	[31]
818	0.090786843575	0.199704201228	11.0148118452	0.612099542433	2377	18	317	[31]
819	0.090757609388	0.199633475793	11.0183598570	0.612255993321	2371	24	317	[31]
820	0.090724663169	0.199553775395	11.0223611207	0.612336215621	2351	32	317	[31]
821	0.090710156321	0.199518683622	11.0241238750	0.612788918748	2333	35	317	[31]
822	0.090680736068	0.199447520062	11.0277005168	0.612938537317	2384	18	317	[31]
823	0.090647486321	0.199367099024	11.0317455076	0.613009396584	2366	26	318	[31]
824	0.090612067317	0.199281437680	11.0360576644	0.613035082124	2379	26	319	[31]
825	0.090585790528	0.199217891219	11.0392589629	0.613245238230	2364	28	319	[31]
826	0.090531427933	0.199086435119	11.0458878517	0.612883823492	2398	21	318	[31]
827	0.090504654486	0.199021699083	11.0491554902	0.613081559943	2385	25	318	[31]
828	0.090475062757	0.198950153101	11.0527693436	0.613220995524	2372	27	318	[31]
829	0.090446586595	0.198881308699	11.0562491924	0.613382067380	2355	32	319	[31]
830	0.090412445045	0.198798773252	11.0604242536	0.613426784203	2384	28	319	[31]
831	0.090362095073	0.198677066080	11.0665871480	0.613140351678	2397	28	319	[31]
832	0.090320657320	0.198576911847	11.0716643310	0.613034046600	2406	24	320	[31]
833	0.090298883564	0.198524288764	11.0743340397	0.613327084977	2388	29	321	[31]
834	0.090275075932	0.198466753067	11.0772545985	0.613577799855	2426	21	321	[31]
835	0.090249788490	0.198405644425	11.0803583779	0.613797413163	2397	29	321	[31]
836	0.090217479082	0.198327571717	11.0843265648	0.613872728567	2393	30	321	[31]
837	0.090164835680	0.198200375663	11.0907982304	0.613531753457	2404	27	322	[31]
838	0.090140620299	0.198141871832	11.0937776630	0.613769983808	2434	20	322	[31]
839	0.090093826053	0.198028826779	11.0995397111	0.613545892332	2448	20	323	[31]
840	0.090062471355	0.197953086931	11.1034039479	0.613636050629	2434	21	323	[31]
841	0.090022932934	0.197857586069	11.1082806059	0.613557783750	2446	17	324	[31]
842	0.089992289434	0.197783575654	11.1120631144	0.613660250709	2420	28	325	[31]
843	0.089976280050	0.197744911649	11.1140402720	0.614061227247	2431	26	325	[31]
844	0.089937428707	0.197651088055	11.1188413364	0.613993604819	2443	23	325	[31]
845	0.089902205295	0.197566032613	11.1231976648	0.613999113617	2437	23	326	[31]
846	0.089863312445	0.197472124075	11.1280117858	0.613928270104	2461	18	327	[31]
847	0.089816190602	0.197358357015	11.1338500698	0.613687537826	2445	22	328	[31]
848	0.089773112005	0.197254361938	11.1391927679	0.613528431755	2451	25	329	[31]
849	0.089749391718	0.197197103526	11.1421367973	0.613765159032	2454	25	329	[31]
850	0.089706262819	0.197093002302	11.1474937042	0.613602638595	2462	22	330	[31]
851	0.089664238183	0.196991575952	11.1527184111	0.613461551795	2482	18	332	[31]
852	0.089624994846	0.196896870715	11.1576017574	0.613376348626	2440	35	331	[31]
853	0.089567168622	0.196757334611	11.1648053119	0.612908392279	2438	34	333	[31]
854	0.089509647583	0.196618552509	11.1719800826	0.612445449804	2474	24	334	[31]
855	0.089477328007	0.196540582150	11.1760154474	0.612498648246	2481	19	334	[31]
856	0.089438619304	0.196447205428	11.1808523855	0.612419518049	2500	15	334	[31]
857	0.089418172510	0.196397884980	11.1834090535	0.612714546431	2497	15	334	[31]
858	0.089401531625	0.196357746537	11.1854906938	0.613087081914	2479	22	334	[31]
859	0.089380229844	0.196306367978	11.1881565056	0.613362987001	2500	14	334	[31]
860	0.089346662855	0.196225411385	11.1923598268	0.613385434946	2530	13	335	[31]
861	0.089305248696	0.196125537274	11.1975501396	0.613245124537	2495	24	336	[31]
862	0.089261391737	0.196019782026	11.2030518519	0.613053290306	2511	20	337	[31]
863	0.089253186336	0.195999996919	11.2040817931	0.613595242695	2509	22	337	[31]
864	0.089232650930	0.195950482900	11.2066602256	0.613882323423	2521	18	337	[31]
865	0.089206839236	0.195888250108	11.2099028344	0.614059652942	2523	16	338	[31]
866	0.089169217690	0.195797549714	11.2146324248	0.613992069044	2543	10	339	[31]
867	0.089155754155	0.195765092795	11.2163259621	0.614422670299	2524	20	339	[31]
868	0.089130194801	0.195703478790	11.2195424035	0.614602457280	2513	25	339	[31]
869	0.089089676274	0.195605810920	11.2246451196	0.614471746790	2531	19	339	[31]
870	0.089041452994	0.195489582455	11.2307241894	0.614180420540	2526	22	339	[31]
871	0.088989880353	0.195365294927	11.2372327734	0.613818570682	2549	17	340	[31]
872	0.088953917324	0.195278634123	11.2417758552	0.613778567730	2535	16	339	[31]
873	0.088902247196	0.195154135596	11.2483095933	0.613412271915	2544	18	342	[31]
874	0.088882298801	0.195106073966	11.2508341198	0.613701617458	2541	21	342	[31]
875	0.088863821229	0.195061557865	11.2531735207	0.614020691168	2530	23	341	[31]
876	0.088808847441	0.194929125884	11.2601393759	0.613582278296	2547	21	342	[31]
877	0.088775825884	0.194849584561	11.2643277609	0.613597748127	2544	19	343	[31]
878	0.088747578385	0.194781547417	11.2679130879	0.613711201856	2529	28	344	[31]
879	0.088730649206	0.194740773688	11.2700629258	0.614058648380	2577	15	344	[31]
880	0.088692918571	0.194649905347	11.2748572954	0.613973336134	2570	21	345	[31]
881	0.088656484702	0.194562167204	11.2794907599	0.613913848226	2528	30	345	[31]
882	0.088611751336	0.194454452240	11.2851849210	0.613680813499	2575	19	346	[31]
883	0.088586508970	0.194393674972	11.2884005886	0.613851703546	2546	26	348	[31]
884	0.088524882754	0.194245308685	11.2962589601	0.613265234673	2577	18	348	[31]
885	0.088456062179	0.194079645553	11.3050476741	0.612528183706	2553	28	349	[31]
886	0.088409631268	0.193967892379	11.3109848515	0.612255167976	2617	8	347	[31]
887	0.088299207147	0.193702161585	11.3251300018	0.610652348680	2567	25	351	[31]
900	0.087723944140	0.192318856944	11.3993962515	0.607570891046	2614	22	353	[31]
904	0.087865816436	0.192659847683	11.3809902481	0.613236896159	2574	28	325	[31]
905	0.087835562549	0.192587123424	11.3849102912	0.613281325466	2572	33	324	[31]
906	0.087796014087	0.192492064150	11.3900387210	0.613130042155	2540	49	325	[31]
907	0.087772856822	0.192436406828	11.3930437747	0.613321217244	2610	22	326	[31]
908	0.087734258908	0.192343644962	11.3980560439	0.613187770100	2604	28	327	[31]
909	0.087698466814	0.192257633302	11.4027078959	0.613112098189	2567	39	328	[31]
910	0.087662833277	0.192172009372	11.4073429140	0.613038713788	2618	29	329	[31]
911	0.087632133842	0.192098246974	11.4113391533	0.613067844119	2608	31	329	[31]
912	0.087607910901	0.192040049333	11.4144943044	0.613232002501	2595	43	329	[31]
913	0.087576849464	0.191965426157	11.4185427555	0.613251656981	2620	35	330	[31]
914	0.087543004205	0.191884120804	11.4229573120	0.613211843621	2617	33	328	[31]
915	0.087506451212	0.191796317526	11.4277288834	0.613114106914	2587	40	328	[31]
916	0.087487244495	0.191750184241	11.4302376966	0.613380108767	2635	29	328	[31]
917	0.087455676060	0.191674363131	11.4343636120	0.613385266141	2596	43	329	[31]
918	0.087429193921	0.191610762340	11.4378270593	0.613496520750	2598	46	330	[31]
919	0.087402759772	0.191547280485	11.4412863233	0.613607909259	2613	36	331	[31]
920	0.087375377684	0.191481526024	11.4448718450	0.613698448574	2614	32	331	[31]
921	0.087350908086	0.191422768860	11.4480778954	0.613849494853	2612	44	331	[31]
922	0.087326814289	0.191364917160	11.4512364632	0.614007636813	2604	44	330	[31]
923	0.087305498589	0.191313738505	11.4540322908	0.614223589459	2615	35	331	[31]
924	0.087279964300	0.191252434232	11.4573832382	0.614349700721	2623	42	332	[31]
925	0.087251760582	0.191184725018	11.4610867830	0.614418565066	2625	39	333	[31]
926	0.087228085716	0.191127891538	11.4641974748	0.614582248060	2616	41	334	[31]
927	0.087188186485	0.191032116794	11.4694437436	0.614402066053	2615	46	335	[31]
928	0.087160130064	0.190964774731	11.4731357017	0.614471274501	2613	44	336	[31]
929	0.087120592344	0.190869881856	11.4783425261	0.614296686478	2662	29	336	[31]
930	0.087090521575	0.190797715728	11.4823057885	0.614321369922	2626	50	337	[31]
931	0.087059159930	0.190722456722	11.4864421022	0.614317797394	2668	36	338	[31]
932	0.087029101744	0.190650330498	11.4904092994	0.614340880032	2646	35	338	[31]
933	0.086992431831	0.190562345514	11.4952528508	0.614222976512	2682	31	339	[31]
934	0.086908115007	0.190360064382	11.5064053560	0.613095131435	2676	28	337	[31]
935	0.086955379489	0.190473450115	11.5001510646	0.614753450711	2553	52	329	[31]
959	0.086113522460	0.188455622392	11.6125780416	0.612396458069	2750	32	360	[31]
1000	0.084864364119	0.185468384776	11.7835090191	0.611189781043	2919	17	379	[31]
1055	0.083447520229	0.182089999363	11.9835795870	0.613045580732	3087	20	377	[31]
1061	0.083260872596	0.181645726919	12.0104434270	0.612404337722	3068	31	380	[31]
1157	0.080893782384	0.176027059405	12.3618895115	0.612461489305	3364	28	426	[31]
1205	0.079803276753	0.173448295863	12.5308137797	0.612419793834	3404	45	377	[31]
1253	0.078827079542	0.171145021290	12.6859958000	0.613730040158	3583	42	421	[31]
1289	0.078167551985	0.169591669621	12.7930320780	0.615647968543	3649	54	393	[31]
1409	0.076154441092	0.164864008616	13.1312105461	0.622295554446	4056	34	463	[31]
1433	0.075771336694	0.163966645274	13.1976027299	0.623391730215	4140	38	470	[31]
1481	0.074822911994	0.161748303031	13.3648901566	0.620381555455	4264	39	496	[31]
1505	0.074408668802	0.160780824742	13.4392943201	0.620022007168	4352	32	496	[31]
1553	0.073607102421	0.158911197643	13.5856455031	0.619342127044	4507	34	513	[31]
1601	0.072845698692	0.157138242446	13.7276464905	0.618875188136	4664	40	526	[31]
1721	0.070978933493	0.152803711459	14.0886873159	0.615416702369	4990	52	563	[31]
1745	0.070734553387	0.152237562786	14.1373621818	0.617575812766	5017	55	561	[31]
1865	0.069573892291	0.149552751615	14.3732076368	0.628084010835	5332	49	493	[31]
1961	0.068197437850	0.146377442218	14.6633074720	0.621987661744	5667	47	615	[31]
1985	0.068194753127	0.146371258062	14.6638847440	0.629525600068	5599	64	593	[31]
2000	0.067800362008	0.145463180299	14.7491837858	0.623341488610	5792	54	624	[31]
2093	0.067066559198	0.143775657008	14.9105606722	0.631374889582	5966	58	622	[31]
2123	0.066647726127	0.142813657807	15.0042628325	0.628501045803	6149	43	630	[31]
2171	0.066106943195	0.141572833663	15.1270040887	0.627192780478	6232	58	649	[31]
2243	0.065343938138	0.139824563932	15.3036383863	0.625813875897	6497	48	681	[31]
2315	0.064672251950	0.138287893382	15.4625820170	0.626188296896	6746	44	695	[31]
2347	0.064360750075	0.137575994338	15.5374199156	0.625714731748	6770	64	695	[31]
2491	0.063250369853	0.135042209396	15.8101842301	0.630322682375	7051	67	697	[31]
2587	0.062638988538	0.133649656369	15.9644978845	0.635814807150	7339	54	698	[31]
2659	0.062109131997	0.132444262154	16.1006919248	0.637066424323	7421	82	710	[31]
2731	0.061511257082	0.131085764312	16.2571868539	0.635602370147	7727	65	751	[31]
2779	0.061214170962	0.130411365550	16.3360866330	0.637447560061	7948	62	749	[31]
2899	0.060321948580	0.128388544329	16.5777138097	0.636318136328	8287	84	795	[31]
3000	0.059419702784	0.126346900865	16.8294345671	0.629379626189	8772	45	834	[31]
3043	0.059355142043	0.126200959992	16.8477399865	0.636322087330	9554	133	680	[31]
3055	0.059202488875	0.125855964062	16.8911817561	0.633915117930	8736	81	824	[31]
3103	0.058933552990	0.125248441653	16.9682625476	0.635140270350	8828	55	825	[31]
3151	0.058662130326	0.124635653607	17.0467726699	0.636094871963	8946	69	820	[31]
3319	0.057609871322	0.122263316580	17.3581363237	0.634596931727	9481	85	878	[31]
3367	0.057404156158	0.121800146973	17.4203414339	0.636902755703	9584	76	882	[31]
3463	0.056864051634	0.120585058246	17.5858028274	0.636745512566	10766	66	901	[31]
3511	0.056641776761	0.120085404178	17.6548134113	0.638030490521	9968	97	903	[31]
3559	0.056405574270	0.119554700053	17.7287442410	0.638695804753	10160	74	928	[31]
3589	0.056324917885	0.119373540644	17.7541315203	0.641320555498	10036	94	907	[31]
3781	0.055466051920	0.117446391488	18.0290459729	0.645191205422	12893	102	918	[31]
3805	0.055358103561	0.117204421633	18.0642026311	0.645503011109	10856	101	920	[31]
3925	0.054738886050	0.115817492632	18.2685485979	0.643765244814	10934	106	958	[31]
3997	0.054426950313	0.115119504159	18.3732506460	0.644430592651	10852	91	976	[31]
4000	0.054116708972	0.114425763697	18.4785811812	0.633948713105	11770	67	1022	[31]
4093	0.054033689415	0.114240198219	18.5069724245	0.645707173226	11319	130	971	[31]
4189	0.053572966969	0.113210982145	18.6661306360	0.644091336399	11614	99	990	[31]
4213	0.053462475289	0.112964301770	18.7047082013	0.643781728683	11900	80	984	[31]
4321	0.053056320422	0.112058027454	18.8478958218	0.645350496353	11928	120	1002	[31]
4417	0.052684186064	0.111228347060	18.9810277943	0.645904371518	12141	122	1023	[31]
4537	0.052223435092	0.110201997023	19.1484914433	0.646197218181	12701	112	1068	[31]
4585	0.052091737452	0.109908816096	19.1969024055	0.648105741752	12954	102	1053	[31]
4729	0.051529819168	0.108658807012	19.4062392639	0.647060917536	13019	110	1111	[31]
4753	0.051456493109	0.108495799582	19.4338933647	0.647572456045	11545	185	1096	[31]
4897	0.051085445393	0.107671328562	19.5750471060	0.652862398976	12909	155	1011	[31]
4921	0.050865749062	0.107183465377	19.6595944902	0.647634085980	13590	101	1134	[31]
5000	0.050363856639	0.106069797345	19.8555088259	0.638744158561	14617	93	1198	[31]
5017	0.050574237403	0.106536475827	19.7729130749	0.648981220175	18155	181	1142	[31]
5089	0.050442769936	0.106244823037	19.8244466208	0.653174514388	18443	175	1135	[31]
5233	0.049858809487	0.104950316826	20.0566361349	0.648599258405	14317	127	1190	[31]
5281	0.049766460614	0.104745746285	20.0938541271	0.650918225875	15662	119	1186	[31]
5425	0.049435571481	0.104013089482	20.2283491430	0.655418083246	14933	106	1113	[31]
5473	0.049133604238	0.103344916714	20.3526693290	0.649174299814	15484	146	1226	[31]
5481	0.049137823467	0.103354249816	20.3509217430	0.650290709276	15562	124	1221	[31]
5721	0.048362204502	0.101639940597	20.6773039049	0.647128035614	17862	137	1288	[31]
5775	0.048230928332	0.101350064354	20.7335839177	0.647931138638	16301	127	1295	[31]
5895	0.048058151421	0.100968670498	20.8081245414	0.654312163478	16298	171	1200	[31]
5979	0.047700111454	0.100178760972	20.9643116026	0.648913388665	16845	146	1324	[31]
6000	0.047187699337	0.099049307622	21.1919634576	0.630431146176	17494	128	1355	[31]
6051	0.047556166041	0.099861355275	21.0277674432	0.650800169036	16724	137	1345	[31]
6099	0.047420954441	0.099563295376	21.0877240196	0.650383486283	17126	132	1341	[31]
6339	0.046983761482	0.098600127853	21.2839493573	0.657452076017	16848	167	1303	[31]
6363	0.046766323549	0.098121425427	21.3829081294	0.650821082854	17994	124	1404	[31]
6459	0.046705520909	0.097987603901	21.4107450369	0.658066745676	24730	166	1276	[31]
6531	0.046382821560	0.097277655245	21.5597060801	0.651705184715	18827	162	1413	[31]
6603	0.046253017236	0.096992217164	21.6202111723	0.653373479790	22534	167	1414	[31]
7000	0.044845910117		22.2985774488	0.631344739890	20469	110	1495	[31]
8000	0.043021472466	0.089911050726	23.2442067337	0.637009338072	23348	132	1647	[31]
9000	0.041348250525	0.086263339211	24.1848200904	0.636229681916	26241	181	1794	[31]
9909	0.040692765852	0.084837817132	24.5743925010	0.667700123925	37798	267	1813	[31]
10000	0.039927779623	0.083176616874	25.0452193796	0.636539677077	29162	179	1936	[31]
10005	0.040579698283	0.084592119242	24.6428643463	0.668564841143	28329	348	1788	[31]
20000	0.031511804440	0.065074214811	31.7341395636	0.625820540730	58668	333	3513	[31]
20113	0.032360307172	0.066885034609	30.9020552458	0.681576738151	52293	384	3275	[31]
30000	0.027569300128	0.056701830026	36.2722301748	0.628634886153	88002	416	6699	[31]
30093	0.028353902321	0.058362612455	35.2685139660	0.685968229323	71212	733	4981	[31]
40000	0.025100123336	0.051492720302	39.8404416828	0.632539364395	117150	649	9016	[31]
40143	0.025842262077	0.053055600897	38.6963028631	0.692789672540	99231	1012	6827	[31]
50000	0.023292291593	0.047695521173	42.9326584723	0.631839335086	146380	719	10666	[31]
50141	0.024017994773	0.049218109851	41.6354491477	0.694709486079	114198	1207	8469	[31]
60000	0.021962913560	0.044912230558	45.5312997189	0.635654472887	175839	986	12268	[31]
60047	0.022656242323	0.046362893598	44.1379459905	0.698320767542	143629	1088	9762	[31]
70000	0.020874072304	0.042638176998	47.9063205989	0.636677629119	204695	1135	13752	[31]
70009	0.021542499588	0.044033592831	46.4198685912	0.699909928541	133282	3628	11006	[31]
80000	0.019966505753	0.040746578296	50.0838760858	0.636789934232	233889	1322	15085	[31]
80341	0.020583242024	0.042031631287	48.5832114705	0.700613618715	190100	1080	12567	[31]
90000	0.019199467294	0.039150605355	52.0847784309	0.636956899751	263186	1448	16480	[31]
90183	0.019807115279	0.040414729770	50.4869076549	0.700790758367	167090	6098	14020	[31]
100000	0.018537044699	0.037774313537	53.9460316484	0.636973685874	292221	1566	17729	[31]
100281	0.019150716641	0.039049254490	52.2173670441	0.704326043302	241716	1440	15346	[31]
110109	0.018570913333	0.037844636124	53.8476477742	0.705216732460	259230	2168	16636	[31]
120119	0.018039268987	0.036741324612	55.4346188152	0.705128894497	160346	30268	17944	[31]
130055	0.017580785179	0.035790800737	56.8802809328	0.706711006654	225072	14314	19668	[31]
180000	0.015060083171	0.030580714445	66.4006957097	0.614829385217	155200	106084	30217	[31]
500000	0.010670618461	0.021571417286	93.7152802956	0.607489504278	1320897	1909	81156	[31]
1030719	0.008879072967	0.017917234365	112.6243701022	0.721511332383	6102348		148028	[31]
1565879	0.007732295227	0.015585099041	129.3277055056	0.723908176976	9286272		224212	[31]
2005059	0.007124757201	0.014351767259	140.3556601002	0.725165882674	11901828		286814	[31]
2519011	0.006606203613	0.013300271528	151.3728698934	0.726249638858	14964828		360170	[31]
2982989	0.006246686016	0.012571904774	160.0848829985	0.727110946851	17730708		427090	[31]

14-Feb-2022:	First presentation for N=1–519, 531, 555, 600, 603, 627, 675, 683, 700, 767, 791, 800, 887, 900, 935, 959, 1000, 1055, 1061, 1157, 1205, 1253, 1289, 1409, 1433, 1481, 1505, 1553, 1601, 1721, 1745, 1865, 1961, 1985, 2000, 2093, 2123, 2171, 2243, 2315, 2347, 2491, 2587, 2659, 2731, 2779, 2899, 3000, 3043, 3055, 3103, 3151, 3319, 3367, 3463, 3511, 3559, 3589, 3781, 3805, 3925, 3997, 4000, 4093, 4189, 4213, 4321, 4417, 4537, 4585, 4729, 4753, 4897, 4921, 5000, 5017, 5089, 5233, 5281, 5425, 5473, 5481, 5721, 5775, 5895, 5979, 6000, 6051, 6099, 6339, 6363, 6459, 6531, 6603, 7000, 8000, 9000, 9909, 10000, 10005, 20000, 20113, 30000, 30093, 40000, 40143, 50000, 50141, 60000, 60047, 70000, 70009, 80000, 80341, 90000, 90183, 100000, 100281, 110109, 120119, 130055, 180000, and 500000.
16-Feb-2022:	First improvements for N= 94, 138, 148, 149, 156, 162, 165, 167, 190, 199, 210, 217, 219, 220, 223, 231, 232, 234, 236, 238, 239, 242, 243, 245, 250, 252, 253, 256, 258, 261, 270, 271, 272, 275, 281, 287, 293, 297, 299, 307, 312, 313, 323, 332, 355, 356, 358, 362, 363, 364, 376, 401, 407, 408, 410, 413, 419, 420, 424, 430, 431, 437, 439, 446, 449, 451, 458, 462, 482, 488, 489, 490, 501, 503, 507, 509, 510, 511, 513, 515, 516, and 518 by Eckard Specht [31].
17-Feb-2022:	Further small improvements for N= 120, 161, 165, 170, 182, 183, 190, 191, 206, 213, 221, 232, 233, 237, 239, 252, 266, 275, 290, 295, 299, 316, 332, 342, 351, 355, 357, 362, 369, 391, 397, 404, 412, 414, 424, 427, 428, 430, 433, 452, 461, 471, 478, 484, 490, 503, 504, 509, 510, and 514 by Eckard Specht [31].
22-Feb-2022:	Contact figures added. They are displayed at the right hand side. The colors indicate the number of contacting neighbors for each sphere. Furthermore, the size of the (equal) spheres are scaled linearly such that innermost spheres are larger than those near the container. This allows a pretty look at the spheres near the center.
25-Feb-2022:	Small improvements for N= 935, 1055, 9909, 100281, 110109, 120119, 130055, and 500000. New high density packings added for N= 1030719, 1565879, 2005059, 2519011, and 2982989 by Eckard Specht [31].
26-May-2023:	Many significant improvements for N= 57, 73, 76, 77, 80–82, 84, 85, 87, 88, 90, 91, 93–96, 98–101, 103–106, 108, 111, 112, 114–117, 119–134, 136, 138–141, 143–146, 148–179, 181–189, 191–268, 276, 278, 280–337, 339–343, 345–370, 372–375, 380, 384, 392, 395, 396, and 398 by Jianrong Zhou, Shuo Ren, Kun He, Yanli Liu, Chu-Min Li [12].
04-Jul-2023:	Further significant improvements and expansion for N= 119, 128, 130, 131, 150, 264, 266–269, 272, 274, 277, 332, 334, 336, 359, 366–368, 370–379, 381–386, 388–422, 425–437, 439–445, 449–600 by Eckard Specht [31].
11-Jul-2023:	Many more slightly improvements for N= 167, 183, 197, 200, 202–204, 206–216, 218–238, 240–248, 254, 255, 258–260, 264–267, 269, 272–277, 279, 280, 282, 285–288, 290, 292, 293, 296–305, 307–314, 319–326, 329, 330, 333, 335, 336, 338–364, 366, 367, 372, 373, 376, 377, 379–382, 386, 388, 391–396, 399–408, 410–430, 432–449, 453, 454, 456, 459, 461, 466–478, 481, 486–488, 490, 491, 494–498, 503–509, 511, 512, 519, 525, 526, 530, 532–535, 542, 558–560, 573, and 591–599 by Eckard Specht [31].
23-Jul-2023:	Some last improvements for N= 95, 361, 364, 445, 453, 470, 472, 478, 482, 498, 510, 511, 518–525, 527–541, 553, 554, 559, 567, 568, 579, 587–589, and 592 before expanding this table beyond N= 600 by Eckard Specht [31].
06-Jun-2024:	Jianrong Zhou et al. sent me on December 10, 2023 some improvements for N= 77, 80, 94, 98, 101, 107, 110, 112, 115–117, 121, 124, 131, 139, 142, 144, 150, 152, 153, 158, 159, 161–164, 166–168, 170, 173–176, 178–180, 184, 193, 197, 219, 230, 241, 244, 252, 254, 256, 262, 268, 283, 284, 289, 294–296, 298, 303, 310, 313, 317, 367, 372, 373 [12].
07-Jun-2024:	Xiangjing Lai et al. sent me on May 24, 2024 improvements for over hundred packings, but unfortunately only 88 survived due to [12]. These are for N= 119, 122, 128–131, 136, 148, 154, 155, 163, 167–172, 175, 177–187, 189–191; 194, 199–201, 203, 206–209, 213, 214, 218–221, 224, 227, 229–231, 245–247, 249, 251, 252, 254–256, 260, 261, 274, 279–282, 287, 288, 291, 292, 294–298, 300, 303–306, 312, 366, 368–370, 392 [13].
08-Jun-2024:	Jianrong Zhou et al. sent me on May 31, 2024 improvements for 109 instances, but unfortunately only 27 survived due to [13]. I regret for the delays in processing the incoming data. Thus, the following packings are new candidates: N= 155, 188, 206, 209, 210, 222, 232, 241, 245, 250, 264, 286, 300, 303, 315, 340, 349, 366, 368, 369, 371, 375, 387, 389, 390, 397, 400 [12].
08-Jun-2024:	Inspired by the latest improvements, I found 307 packings on my notebook waiting for a year for publication. These new candidates range from N = 600–753, 755–887, 904–934. They won't affect the recent improvements [12] and [13].

[1]	L. Fejes, Über eine Abschätzung des kürzesten Abstandes zweier Punkte eines auf einer Kugelfläche liegenden Punktsystems, Jahresbericht der Deutschen Mathematiker-Vereinigung 53 (1943), 66–68.
[2]	K. Schütte, B.L. van der Waerden, Auf welcher Kugel haben 5, 6, 7, 8 oder 9 Punkte mit Mindestabstand Eins Platz?, Math. Annalen 123 (1951), 96–124.
[3]	B.L. van der Waerden, Punkte auf der Kugel. Drei Zusätze, Math. Annalen 125 (1952), 213–222.
[4]	Raphael M. Robinson, Arrangement Of 24 Points On A Sphere, Math. Annalen 144 (1961), 17–48.
[5]	Ludwig Danzer, Endliche Punktmengen auf der 2-Sphäre mit möglichst großem Minimalabstand (Finite Point-Set on S² with Minimum Distance as Large as Possible), Habilitationsschrift, Univ. Göttingen, Germany (1963). Engl. transl.: Discrete Math. 60 (1986), 3–66.
[6]	T. Tarnai, Ts. Gáspár, Improved packing of equal circles on a sphere and rigidity of its graph, Math. Proc. Cambridge Phil. Soc. 93 (1983), 191–218.
[7]	D. Lazić, V. Šenk, I.P. Šeškar, Arrangements of Points on a Sphere Which Maximizes the Distance, Bulletin for Applied Mathematics, Technical University Budapest XLVII-4/9/87 (1987), 7–21.
[8]	D.A. Kottwitz, The Densest Packing of Equal Circles on a Sphere, Acta Cryst. A47 (1991), 158–165.
[9]	Th. Gensane, Dense Packings of Equal Spheres in a Larger Sphere, Les Cahiers du LMPA J. Liouville 188 (2003).
[10]	H. Pfoertner, Densest Packings of n Equal Spheres in a Sphere of Radius 1, August 25, 2013.
[11]	, Serial Symmetrical Relocation Algorithm for the Equal Sphere Packing Problem, Jisuanji Yingyong Yanjiu (Application Research of Computers) 29 (2012) 5, 1695–1697 (in Chinese), arxiv:1202.4149 (2012) (in English).
[12]	, An efficient solution space exploring and descent method for packing equal spheres in a sphere, Computers & Operations Research 164 (2024) 106522.
[13]	, private communication, May 2024.
[31]	, program ssp, April 2010–June 2024.

The best known packings of equal spheres in a sphere (complete up to N = 887)

Last update: 08-Jun-2024

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