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	217	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	232	3	60	[12]
82	0.188297320002	0.463956383642	5.3107500414	0.547452280066	238	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	0.432734404528	5.6217725678	0.557205479589	289	2	68	[12]
100	0.177439223049	0.431431276621	5.6357325219	0.558661678031	289	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	0.559559277461	289	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	0.170449574714	0.410944457428	5.8668377535	0.564537268024	337	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	5.9636279899	0.565782633526	346	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	0.399523248954	6.0059664994	0.567749022503	355	4	77	[12]
124	0.166046011632	0.398213843804	6.0224270982	0.567684492255	346	8	79	[12]
125	0.165707392901	0.397240468131	6.0347337707	0.568768671188	355	6	78	[12]
126	0.165236192632	0.395887294521	6.0519428829	0.568441901274	363	4	80	[12]
127	0.164897399764	0.394915306736	6.0643770092	0.569436292598	325	18	80	[31]
128	0.164797177360	0.394627922447	6.0680650969	0.572874216366	370	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	0.158609167903	0.377016629734	6.3048057891	0.578565938862	406	9	89	[12]
146	0.158248840832	0.375999104031	6.3191616112	0.578594722871	415	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	451	5	96	[12]
157	0.154338501545	0.365012482718	6.4792646682	0.577194907418	445	8	95	[31]
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	0.358459291001	6.5794341232	0.579319724570	460	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	511	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	0.145452947787	0.340421156238	6.8750755156	0.578529395747	536	7	111	[12]
189	0.145245497123	0.339853131242	6.8848950212	0.579121696964	529	12	112	[13]
190	0.144968950591	0.339096342036	6.8980288256	0.578866725795	553	5	113	[31]
191	0.144714894423	0.338401530623	6.9101387524	0.578859364608	560	3	113	[13]
192	0.144508021238	0.337836063518	6.9200310919	0.579398132977	553	7	113	[31]
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	0.143781006891	0.335851010193	6.9550215402	0.579614408884	569	4	114	[31]
196	0.143581247013	0.335306172389	6.9646978335	0.580161939167	568	6	114	[12]
197	0.143375209098	0.334744477677	6.9747064802	0.580615223953	568	7	113	[12]
198	0.143082424861	0.333946762237	6.9889785623	0.579994753748	577	5	114	[12]
199	0.142826267421	0.333249286562	7.0015132234	0.579798832178	577	6	116	[13]
200	0.142593294458	0.332615300385	7.0129524940	0.579865545695	571	9	115	[13]
201	0.142366448864	0.331998319505	7.0241268781	0.579988008320	574	9	116	[13]
202	0.142130524291	0.331356991513	7.0357863308	0.579980568915	571	11	115	[12]
203	0.141925141987	0.330798975548	7.0459679377	0.580328701396	586	7	118	[13]
204	0.141735079717	0.330282821463	7.0554163584	0.580847633586	588	7	117	[31]
205	0.141577621807	0.329855384490	7.0632631572	0.581751751678	595	6	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	604	6	120	[13]
209	0.140573023821	0.327131979138	7.1137404092	0.580566866782	610	5	116	[12]
210	0.140365259385	0.326569536463	7.1242699538	0.580762000271	586	14	120	[12]
211	0.140198175138	0.326117417023	7.1327604587	0.581446201352	618	4	122	[31]
212	0.140021682216	0.325640029104	7.1417510786	0.581998323693	610	8	123	[12]
213	0.139762719890	0.324939927905	7.1549838239	0.581505242908	594	14	122	[31]
214	0.139549758852	0.324364506345	7.1659027448	0.581568726267	619	7	122	[13]
215	0.139337959075	0.323792504954	7.1767952297	0.581629994566	624	6	125	[31]
216	0.139127521285	0.323224460591	7.1876505149	0.581691736678	628	6	125	[12]
217	0.138934610172	0.322703970716	7.1976305887	0.581957238495	625	8	123	[31]
218	0.138758018716	0.322227717021	7.2067907084	0.582412602373	634	6	123	[31]
219	0.138577784717	0.321741841012	7.2161638465	0.582807266965	634	7	124	[13]
220	0.138363317998	0.321163945055	7.2273490869	0.582754431557	638	6	125	[31]
221	0.138172488643	0.320649983488	7.2373307438	0.582984506569	643	6	125	[13]
222	0.137952472614	0.320057695734	7.2488733333	0.582829387298	655	3	127	[12]
223	0.137781609068	0.319597936015	7.2578626913	0.583282061246	649	6	127	[31]
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	0.318135911721	7.2866213034	0.584157344834	661	5	125	[12]
227	0.137047851476	0.317625610436	7.2967214679	0.584308967337	660	5	129	[31]
228	0.136831752368	0.317045379608	7.3082452186	0.584111173105	656	8	128	[31]
229	0.136624488976	0.316489145758	7.3193320428	0.584011143533	661	8	127	[13]
230	0.136437831304	0.315988440091	7.3293454641	0.584160596261	664	8	128	[13]
231	0.136267332102	0.315531268335	7.3385160227	0.584503666153	679	4	129	[13]
232	0.136081941226	0.315034371244	7.3485136308	0.584641274784	658	12	130	[12]
233	0.135911032463	0.314576478972	7.3577544212	0.584951765337	676	7	121	[31]
234	0.135708938778	0.314035270910	7.3687113686	0.584845591506	661	13	122	[31]
235	0.135573225232	0.313671971275	7.3760877068	0.585584598593	667	12	122	[31]
236	0.135369403232	0.313126562345	7.3871936798	0.585428075347	667	13	123	[31]
237	0.135206530601	0.312690914965	7.3960924488	0.585789189682	679	10	124	[31]
238	0.135036628086	0.312236639078	7.4053981810	0.586046007793	675	10	125	[31]
239	0.134878141559	0.311813047475	7.4140997825	0.586438698070	691	8	125	[12]
240	0.134644469895	0.311188789372	7.4269667427	0.585837009418	688	10	129	[31]
241	0.134512621778	0.310836703487	7.4342465917	0.586551507517	705	4	130	[12]
242	0.134305150088	0.310282890332	7.4457308550	0.586264187265	700	8	131	[31]
243	0.134152598350	0.309875846701	7.4541977740	0.586683048409	706	7	130	[12]
244	0.133988933998	0.309439311478	7.4633029024	0.586943938783	712	6	131	[12]
245	0.133805756701	0.308950925814	7.4735200088	0.586935637260	709	8	132	[31]
246	0.133632050792	0.308487983458	7.4832347036	0.587039071167	715	7	134	[31]
247	0.133486248706	0.308099550657	7.4914083637	0.587498197792	733	2	134	[13]
248	0.133346318389	0.307726883802	7.4992696617	0.588023617582	712	10	135	[31]
249	0.133172202471	0.307263340771	7.5090745775	0.588084989259	727	6	134	[13]
250	0.133019157832	0.306856048859	7.5177141120	0.588413448780	727	7	137	[12]
251	0.132875845086	0.306474786414	7.5258223145	0.588859709527	736	5	138	[13]
252	0.132731660835	0.306091332615	7.5339974932	0.589283290655	718	12	137	[13]
253	0.132583357799	0.305697058020	7.5424247553	0.589640848389	736	7	138	[12]
254	0.132482775180	0.305429728401	7.5481510607	0.590625192431	715	15	138	[13]
255	0.132224141801	0.304742614240	7.5629154130	0.589484582818	745	6	141	[13]
256	0.132081965229	0.304365066602	7.5710563381	0.589889317746	766		140	[13]
257	0.131915363620	0.303922816029	7.5806181521	0.589955507865	732	11	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	0.131335797850	0.302385657254	7.6140703172	0.589010040667	762	5	143	[13]
261	0.131149067340	0.301890836299	7.6249112577	0.588757058385	772	3	144	[13]
262	0.130974054754	0.301427259958	7.6350999584	0.588649947663	757	9	146	[12]
263	0.130856611219	0.301116278184	7.6419524446	0.589308569068	751	12	142	[31]
264	0.130690863367	0.300677533134	7.6516443020	0.589304297051	772	6	143	[31]
265	0.130518255647	0.300220807382	7.6617634448	0.589195819297	737	18	137	[31]
266	0.130320182422	0.299696922449	7.6734085344	0.588730688002	757	13	137	[31]
267	0.130173426996	0.299308922114	7.6820594116	0.588949797205	766	11	137	[31]
268	0.129972969724	0.298779153293	7.6939074496	0.588428799783	793	3	145	[31]
269	0.129844323531	0.298439295501	7.7015303619	0.588872379109	763	14	137	[31]
270	0.129735240880	0.298151199438	7.7080058835	0.589573088651	772	12	136	[31]
271	0.129662549017	0.297959254472	7.7123271722	0.590762549570	772	13	137	[31]
272	0.129528966956	0.297606610763	7.7202808260	0.591111773679	790	8	138	[31]
273	0.129404622337	0.297278450259	7.7276992270	0.591578001520	784	11	139	[31]
274	0.129267249991	0.296916016975	7.7359114553	0.591856051172	808	4	140	[13]
275	0.129106718465	0.296492627059	7.7455303015	0.591805806521	802	7	140	[31]
276	0.128970902318	0.296134543981	7.7536869327	0.592085324801	796	10	139	[12]
277	0.128848732105	0.295812534180	7.7610387286	0.592543471013	811	6	142	[31]
278	0.128696509625	0.295411440552	7.7702185002	0.592577423891	814	6	142	[31]
279	0.128566099471	0.295067932044	7.7781001688	0.592902945355	799	12	139	[31]
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	0.128227937370	0.294177670670	7.7986125373	0.594561902377	811	11	138	[31]
283	0.128113371705	0.293876216351	7.8055864637	0.595072415420	826	7	139	[12]
284	0.127946811562	0.293438091296	7.8157477142	0.594849010136	837	4	142	[12]
285	0.127804094630	0.293062817294	7.8244754434	0.594948212933	823	10	142	[12]
286	0.127663659549	0.292693663279	7.8330826763	0.595069788475	829	9	145	[31]
287	0.127507093531	0.292282246848	7.8427009220	0.594956119187	826	11	143	[13]
288	0.127378100251	0.291943395616	7.8506430700	0.595219005672	831	10	144	[13]
289	0.127225969923	0.291543894613	7.8600304687	0.595148240691	826	13	146	[12]
290	0.127068273470	0.291129923700	7.8697850588	0.594989614150	840	9	146	[31]
291	0.126915642951	0.290729393847	7.8792493719	0.594892442498	850	7	146	[13]
292	0.126780000894	0.290373562273	7.8876793891	0.595024849195	844	10	148	[13]
293	0.126641081071	0.290009246660	7.8963318344	0.595102052334	853	8	149	[12]
294	0.126494097683	0.289623910605	7.9055072001	0.595056378426	847	11	149	[13]
295	0.126382215143	0.289330682900	7.9125057182	0.595497448926	853	10	150	[13]
296	0.126235791266	0.288947040870	7.9216836206	0.595441679435	847	13	151	[13]
297	0.126109478031	0.288616193586	7.9296181034	0.595661641186	874	5	151	[13]
298	0.125962080860	0.288230242880	7.9388971123	0.595574018136	862	10	150	[13]
299	0.125824264362	0.287869496332	7.9475926608	0.595613301684	873	7	153	[12]
300	0.125649582321	0.287412414475	7.9586416566	0.595119803802	889	3	154	[31]
301	0.125490931837	0.286997439834	7.9687032789	0.594844606465	879	7	157	[31]
302	0.125373629555	0.286690714553	7.9761589702	0.595148768732	865	13	157	[12]
303	0.125214543370	0.286274862987	7.9862927507	0.594849294323	885	6	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	0.124654623016	0.284812432426	8.0221653702	0.594652904407	876	12	157	[31]
308	0.124500154949	0.284409313497	8.0321185175	0.594374805718	906	4	158	[31]
309	0.124381242099	0.284099080740	8.0397975058	0.594597594384	909	5	158	[31]
310	0.124282510831	0.283841563902	8.0461844013	0.595102465432	915	4	158	[31]
311	0.124133187750	0.283452200754	8.0558633684	0.594872802882	915	5	159	[12]
312	0.124016640410	0.283148393294	8.0634340415	0.595106207856	925	3	160	[13]
313	0.123879257436	0.282790376754	8.0723764470	0.595031720076	921	4	167	[12]
314	0.123747407103	0.282446883709	8.0809773991	0.595028779642	920	4	169	[31]
315	0.123711418243	0.282353144429	8.0833282344	0.596403125838	927	4	170	[31]
316	0.123588709574	0.282033586112	8.0913540035	0.596517893582	918	9	170	[12]
317	0.123478681974	0.281747127958	8.0985639303	0.596808799131	893	17	170	[12]
318	0.123337709396	0.281380209273	8.1078204298	0.596643282827	940	3	170	[12]
319	0.123166336424	0.280934324354	8.1191016071	0.596028125370	925	10	170	[31]
320	0.122988290754	0.280471262715	8.1308553348	0.595307392974	948	2	170	[31]
321	0.122857918082	0.280132308356	8.1394835238	0.595270673525	940	6	170	[31]
322	0.122736206214	0.279815962048	8.1475550764	0.595352191939	954	3	170	[31]
323	0.122567710414	0.279378162552	8.1587556512	0.594744922129	946	7	170	[12]
324	0.122441755419	0.279051005845	8.1671485073	0.594748906546	943	9	171	[31]
325	0.122349917470	0.278812524275	8.1732789092	0.595243145761	947	8	172	[31]
326	0.122223501795	0.278484334099	8.1817325254	0.595225827339	958	6	172	[12]
327	0.122129852979	0.278241271544	8.1880062541	0.595680324606	962	5	174	[31]
328	0.122048765754	0.278030854091	8.1934462329	0.596312645735	974	2	174	[31]
329	0.121950939061	0.277777050250	8.2000188576	0.596693551678	979	2	175	[31]
330	0.121781829182	0.277338441013	8.2114056483	0.596020803610	964	8	175	[31]
331	0.121649560330	0.276995501649	8.2203338614	0.595881119008	973	6	175	[31]
332	0.121479137749	0.276553791649	8.2318661338	0.595172951297	982	3	175	[31]
333	0.121355387879	0.276233157763	8.2402604242	0.595143125733	962	8	176	[12]
334	0.121217703381	0.275876525614	8.2496200811	0.594900893674	965	11	177	[31]
335	0.121138209374	0.275670670101	8.2550336939	0.595508899825	992	2	176	[31]
336	0.121001833439	0.275317601429	8.2643375855	0.595271554537	983	5	177	[31]
337	0.120916177697	0.275095900139	8.2701919548	0.595776174317	999	3	177	[31]
338	0.120807448913	0.274814541510	8.2776352700	0.595933556149	973	13	170	[31]
339	0.120701534988	0.274540533825	8.2848987803	0.596126018785	993	6	170	[31]
340	0.120578398495	0.274222052969	8.2933594448	0.596056531170	961	19	171	[31]
341	0.120428195520	0.273833687953	8.3037032622	0.595578368834	979	11	171	[31]
342	0.120310799980	0.273530242220	8.3118057578	0.595579786469	966	17	170	[31]
343	0.120232820641	0.273328724831	8.3171965414	0.596160540748	971	18	171	[31]
344	0.120082017728	0.272939115116	8.3276415480	0.595651682302	990	12	172	[31]
345	0.119947957457	0.272592873281	8.3369489669	0.595384694277	997	12	172	[31]
346	0.119818993838	0.272259894270	8.3459221945	0.595186543631	988	16	172	[31]
347	0.119706956324	0.271970696995	8.3537334062	0.595233876802	979	20	171	[31]
348	0.119606381361	0.271711150169	8.3607579179	0.595445883942	1002	12	172	[31]
349	0.119475705887	0.271374013609	8.3699024214	0.595201808685	1003	14	174	[12]
350	0.119369456838	0.271099969823	8.3773523520	0.595316195317	1016	10	174	[31]
351	0.119279659315	0.270868410334	8.3836590894	0.595670765958	1008	14	174	[31]
352	0.119161623265	0.270564104409	8.3919635584	0.595596168982	1019	10	172	[31]
353	0.119070466290	0.270329150593	8.3983882079	0.595918500528	1009	16	173	[31]
354	0.118974323096	0.270081397659	8.4051749485	0.596160214818	1018	14	174	[31]
355	0.118857073934	0.269779329591	8.4134664173	0.596078498426	994	23	174	[31]
356	0.118779160578	0.269578646497	8.4189852423	0.596582834514	1024	14	175	[31]
357	0.118671146696	0.269300491527	8.4266481604	0.596628002267	1026	13	175	[31]
358	0.118608390741	0.269138915086	8.4311067181	0.597350549007	1024	15	175	[31]
359	0.118475240212	0.268796171399	8.4405821690	0.597004001875	1013	20	176	[31]
360	0.118285197830	0.268307161315	8.4541431924	0.595790676192	1025	16	176	[31]
361	0.118159920816	0.267984918366	8.4631065516	0.595549378415	1027	15	176	[31]
362	0.118074544675	0.267765362622	8.4692259686	0.595905520881	1036	15	180	[31]
363	0.117971973629	0.267501644170	8.4765895597	0.595995746450	1051	12	180	[31]
364	0.117895423793	0.267304868318	8.4820934335	0.596474974712	1049	12	180	[31]
365	0.117794792790	0.267046242365	8.4893396076	0.596583368694	1055	12	181	[31]
366	0.117655898649	0.266689375424	8.4993613706	0.596104226811	1054	12	179	[31]
367	0.117567789804	0.266463051656	8.5057310482	0.596391061445	1029	22	179	[31]
368	0.117496313849	0.266279485724	8.5109052977	0.596926067080	1046	18	180	[31]
369	0.117359143330	0.265927285018	8.5208529274	0.596454278503	1063	14	182	[31]
370	0.117268078317	0.265693525829	8.5274698311	0.596679544094	1052	18	182	[31]
371	0.117176099130	0.265457468957	8.5341636001	0.596885484459	1051	18	183	[31]
372	0.117088638479	0.265233054148	8.5405382878	0.597155185442	1046	22	182	[31]
373	0.116977361361	0.264947593057	8.5486626503	0.597054937626	1054	21	183	[31]
374	0.116816592838	0.264535297857	8.5604277244	0.596190714273	1071	15	183	[31]
375	0.116649382316	0.264106641193	8.5726986303	0.595221483700	1059	20	183	[31]
376	0.116517400327	0.263768410086	8.5824091268	0.594785269061	1089	11	184	[31]
377	0.116437707874	0.263564230641	8.5882831108	0.595144319798	1097	10	184	[31]
378	0.116330463510	0.263289518777	8.5962005981	0.595075644120	1112	6	185	[31]
379	0.116236516418	0.263048923332	8.6031483979	0.595205543370	1102	11	185	[31]
380	0.116135580344	0.262790486326	8.6106255898	0.595222692571	1098	13	186	[31]
381	0.116043427132	0.262554588526	8.6174635196	0.595369544404	1099	14	186	[31]
382	0.115956191693	0.262331324768	8.6239465560	0.595586977767	1120	8	186	[31]
383	0.115874189730	0.262121495344	8.6300495592	0.595880131347	1102	15	187	[31]
384	0.115778491539	0.261876668756	8.6371828369	0.595956944849	1111	13	187	[31]
385	0.115667460476	0.261592682179	8.6454738081	0.595791538821	1131	6	187	[31]
386	0.115564726696	0.261329981253	8.6531593903	0.595748824817	1127	9	188	[31]
387	0.115455539866	0.261050846101	8.6613427226	0.595600829758	1133	8	190	[31]
388	0.115367843867	0.260826701962	8.6679265771	0.595780183494	1114	16	190	[31]
389	0.115265212490	0.260564440592	8.6756444412	0.595722998778	1135	9	189	[31]
390	0.115129577836	0.260217936892	8.6858652554	0.595148500250	1122	13	189	[31]
391	0.114998604732	0.259883442776	8.6957576775	0.594640480575	1129	14	189	[31]
392	0.114936723140	0.259725436915	8.7004394477	0.595199421704	1133	13	190	[31]
393	0.114856204905	0.259519878107	8.7065387615	0.595464584662	1135	14	190	[31]
394	0.114764603508	0.259286070039	8.7134880393	0.595552570754	1155	8	191	[31]
395	0.114660729042	0.259020994105	8.7213818398	0.595444368252	1141	14	191	[31]
396	0.114571512626	0.258793373513	8.7281731478	0.595559458795	1145	13	192	[31]
397	0.114472931498	0.258541913782	8.7356896247	0.595523523115	1156	11	190	[12]
398	0.114373149795	0.258287448644	8.7433108364	0.595463734530	1147	15	189	[31]
399	0.114299465255	0.258099573775	8.7489473181	0.595806849186	1165	8	189	[31]
400	0.114181829812	0.257799701236	8.7579608914	0.595457797581	1171	8	190	[31]
401	0.114097010379	0.257583531641	8.7644715377	0.595617113515	1166	10	193	[31]
402	0.114013085024	0.257369681418	8.7709230900	0.595785795425	1163	11	194	[31]
403	0.113898964772	0.257078956561	8.7797110536	0.595476156456	1168	13	195	[31]
404	0.113795342572	0.256815040675	8.7877058709	0.595325969401	1155	16	195	[31]
405	0.113700976381	0.256574752653	8.7949992325	0.595316069253	1191	7	195	[31]
406	0.113611659614	0.256347369291	8.8019134955	0.595380690573	1180	12	195	[31]
407	0.113510190517	0.256089104021	8.8097817072	0.595249400975	1192	9	195	[31]
408	0.113416200820	0.255849928512	8.8170825047	0.595230873415	1195	7	196	[31]
409	0.113327255266	0.255623635527	8.8240026431	0.595287028800	1185	13	195	[31]
410	0.113236063862	0.255391675839	8.8311087996	0.595303109099	1196	8	195	[31]
411	0.113157487368	0.255191842421	8.8372411164	0.595513633278	1201	10	196	[31]
412	0.113075779255	0.254984082315	8.8436268721	0.595670351102	1205	8	197	[31]
413	0.112982017557	0.254745720590	8.8509660353	0.595632009799	1194	13	198	[31]
414	0.112884972536	0.254499065039	8.8585750391	0.595536982508	1200	12	199	[31]
415	0.112800801459	0.254285174388	8.8651852386	0.595641094227	1176	22	197	[31]
416	0.112727652157	0.254099324590	8.8709378832	0.595915547029	1215	9	198	[31]
417	0.112660499304	0.253928736894	8.8762255287	0.596281135715	1216	11	198	[31]
418	0.112592545389	0.253756140551	8.8815826709	0.596630146924	1213	13	198	[31]
419	0.112494307124	0.253506671624	8.8893387191	0.596493421527	1227	9	199	[31]
420	0.112400981512	0.253269729170	8.8967194641	0.596430166452	1203	17	199	[31]
421	0.112307226749	0.253031747319	8.9041465002	0.596355467501	1218	13	199	[31]
422	0.112216323292	0.252801051058	8.9113595123	0.596321621706	1239	8	200	[31]
423	0.112109639249	0.252530366822	8.9198396025	0.596031527449	1217	16	200	[31]
424	0.111992307481	0.252232741731	8.9291847136	0.595566738843	1228	11	200	[31]
425	0.111914260069	0.252034809337	8.9354117999	0.595724159342	1245	9	203	[31]
426	0.111847607502	0.251865802416	8.9407366177	0.596059611117	1253	7	204	[31]
427	0.111757418008	0.251637154700	8.9479518928	0.596014675623	1270	3	204	[31]
428	0.111666537428	0.251406801911	8.9552342450	0.595954245607	1249	11	205	[31]
429	0.111604820627	0.251250396711	8.9601864362	0.596356769642	1255	10	205	[31]
430	0.111516617369	0.251026906184	8.9672734306	0.596330768729	1241	15	205	[31]
431	0.111444952708	0.250845354033	8.9730398345	0.596565979243	1260	8	206	[31]
432	0.111371274886	0.250658732356	8.9789759615	0.596764967265	1262	10	203	[31]
433	0.111298633415	0.250474765990	8.9848362852	0.596976715119	1248	15	204	[31]
434	0.111216099714	0.250265783793	8.9915039511	0.597025266503	1239	18	205	[31]
435	0.111128957747	0.250045175204	8.9985546546	0.596995394249	1264	10	205	[31]
436	0.111038564336	0.249816380962	9.0058801280	0.596908829698	1266	12	206	[31]
437	0.110953826244	0.249601943114	9.0127581342	0.596909220333	1266	13	206	[31]
438	0.110862056210	0.249369756367	9.0202187672	0.596791870688	1291	5	207	[31]
439	0.110781726059	0.249166552927	9.0267595169	0.596855091097	1277	7	203	[31]
440	0.110706306299	0.248975804244	9.0329090856	0.596993714962	1279	12	204	[31]
441	0.110636129569	0.248798345081	9.0386386788	0.597213356791	1279	12	204	[31]
442	0.110556513581	0.248597050333	9.0451477494	0.597276287900	1301	6	205	[31]
443	0.110480487643	0.248404866016	9.0513720688	0.597393473528	1286	12	206	[31]
444	0.110409970203	0.248226635877	9.0571530647	0.597596228782	1297	9	206	[31]
445	0.110329701864	0.248023795096	9.0637424293	0.597636818091	1289	13	206	[31]
446	0.110242721853	0.247804035012	9.0708935991	0.597564295581	1298	10	207	[31]
447	0.110167721842	0.247614577592	9.0770688844	0.597682623037	1304	10	208	[31]
448	0.110070980410	0.247370246361	9.0850467242	0.597443056830	1311	10	209	[31]
449	0.109992259613	0.247171467442	9.0915488373	0.597492850632	1306	12	210	[31]
450	0.109900765714	0.246940479175	9.0991176768	0.597330469844	1314	11	211	[31]
451	0.109831301381	0.246765139128	9.1048725402	0.597523417720	1309	13	210	[31]
452	0.109779307967	0.246633916622	9.1091847682	0.597998233375	1315	13	211	[31]
453	0.109708393902	0.246454966329	9.1150728256	0.598160559002	1307	16	212	[31]
454	0.109638537936	0.246278714000	9.1208804753	0.598336586158	1303	17	212	[31]
455	0.109562367061	0.246086560154	9.1272215709	0.598405554543	1321	14	212	[31]
456	0.109468890202	0.245850793976	9.1350154199	0.598187024460	1339	9	212	[31]
457	0.109384933764	0.245639082272	9.1420268367	0.598120550767	1320	15	215	[31]
458	0.109309824972	0.245449715371	9.1483084915	0.598195407783	1319	16	215	[31]
459	0.109262665873	0.245330832529	9.1522570130	0.598725924406	1314	20	202	[31]
460	0.109236144306	0.245263980140	9.1544790999	0.599593504188	1312	22	202	[31]
461	0.109194716250	0.245159561224	9.1579522741	0.600213552957	1318	21	203	[31]
462	0.109159451241	0.245070683846	9.1609108385	0.600932934993	1319	17	203	[31]
463	0.109123679767	0.244980537228	9.1639138465	0.601641795013	1308	24	204	[31]
464	0.109086950906	0.244887985459	9.1669992762	0.602332628129	1313	22	205	[31]
465	0.109055056704	0.244807622569	9.1696802535	0.603101455530	1319	21	205	[31]
466	0.109000035467	0.244669000687	9.1743089414	0.603484103094	1298	30	206	[31]
467	0.108933846376	0.244502264917	9.1798833261	0.603678065505	1305	29	207	[31]
468	0.108882556630	0.244373078858	9.1842075623	0.604116618130	1310	21	208	[31]
469	0.108822657665	0.244222227149	9.1892628011	0.604408866672	1322	27	209	[31]
470	0.108757629852	0.244058481721	9.1947571987	0.604612415947	1310	27	210	[31]
471	0.108705128410	0.243926296167	9.1991980013	0.605021777681	1310	33	211	[31]
472	0.108645749588	0.243776813849	9.2042256949	0.605313305774	1325	26	212	[31]
473	0.108596985546	0.243654068441	9.2083587309	0.605779331104	1332	22	213	[31]
474	0.108528179435	0.243480897391	9.2141967663	0.605906895450	1343	23	214	[31]
475	0.108488245184	0.243380403226	9.2175884890	0.606515163336	1325	31	215	[31]
476	0.108414012939	0.243193622404	9.2238998713	0.606545259811	1355	21	216	[31]
477	0.108359091922	0.243055451898	9.2285749379	0.606896243932	1316	30	217	[31]
478	0.108304831188	0.242918959250	9.2331984551	0.607255400665	1303	37	217	[31]
479	0.108242617185	0.242762480627	9.2385053688	0.607477737556	1373	17	217	[31]
480	0.108158304104	0.242550453969	9.2457070984	0.607324560324	1400	11	218	[31]
481	0.108090978405	0.242381175182	9.2514658925	0.607454033657	1402	11	218	[31]
482	0.108037648961	0.242247105688	9.2560325925	0.607816398183	1367	23	216	[31]
483	0.107990674309	0.242129025334	9.2600588560	0.608283294838	1384	19	217	[31]
484	0.107959980247	0.242051876275	9.2626915799	0.609023079463	1370	26	218	[31]
485	0.107843677630	0.241759599581	9.2726808096	0.608311192428	1418	10	218	[31]
486	0.107733535315	0.241482874408	9.2821608153	0.607699675012	1377	24	219	[31]
487	0.107622925268	0.241205042835	9.2917006066	0.607076383309	1408	15	220	[31]
488	0.107519606294	0.240945587269	9.3006292942	0.606572641646	1416	13	219	[31]
489	0.107444020418	0.240755813363	9.3071722010	0.606534643080	1419	14	220	[31]
490	0.107367229019	0.240563045654	9.3138288949	0.606472781355	1398	22	221	[31]
491	0.107284635368	0.240355749701	9.3209991959	0.606309091693	1410	20	223	[31]
492	0.107182858284	0.240100359359	9.3298500899	0.605816511477	1422	13	222	[31]
493	0.107108187817	0.239913024972	9.3363543944	0.605780003900	1426	13	224	[31]
494	0.107040073590	0.239742166304	9.3422955204	0.605851442037	1420	19	224	[31]
495	0.106938263603	0.239486833317	9.3511898016	0.605347262779	1449	11	224	[31]
496	0.106870917453	0.239317965435	9.3570825799	0.605424915111	1437	14	223	[31]
497	0.106803651805	0.239149324828	9.3629757326	0.605500763994	1435	15	224	[31]
498	0.106729089159	0.238962419718	9.3695168569	0.605449259127	1453	10	225	[31]
499	0.106674106659	0.238824615863	9.3743461400	0.605727915942	1440	17	226	[31]
500	0.106604412779	0.238649964929	9.3804747283	0.605752968432	1450	14	225	[31]
501	0.106542750183	0.238495462888	9.3859037643	0.605911834248	1450	14	226	[31]
502	0.106475228019	0.238326303552	9.3918559143	0.605967669343	1453	15	227	[31]
503	0.106397370497	0.238131283379	9.3987285149	0.605843802878	1469	11	224	[31]
504	0.106331698068	0.237966811261	9.4045333440	0.605924878849	1473	12	227	[31]
505	0.106257188747	0.237780237019	9.4111279603	0.605851716719	1454	19	227	[31]
506	0.106191809418	0.237616550255	9.4169221287	0.605931568515	1441	24	228	[31]
507	0.106144104523	0.237497129146	9.4211544249	0.606311201512	1447	21	229	[31]
508	0.106083015492	0.237344221735	9.4265796967	0.606458770975	1452	21	229	[31]
509	0.105994105169	0.237121714257	9.4344869312	0.606126009816	1449	21	229	[31]
510	0.105918247007	0.236931906176	9.4412438674	0.606013821417	1462	20	230	[31]
511	0.105849319267	0.236759466940	9.4473918862	0.606017420036	1460	21	229	[31]
512	0.105753822823	0.236520603659	9.4559229473	0.605561403708	1465	22	229	[31]
513	0.105689834099	0.236360578530	9.4616479298	0.605643434620	1484	16	230	[31]
514	0.105637116557	0.236228757952	9.4663697060	0.605916436916	1463	24	231	[31]
515	0.105578802177	0.236082960542	9.4715982695	0.606090421409	1484	15	228	[31]
516	0.105519541936	0.235934817770	9.4769175610	0.606245312140	1503	12	229	[31]
517	0.105458162290	0.235781397458	9.4824333962	0.606360832125	1490	17	230	[31]
518	0.105384292043	0.235596784420	9.4890802093	0.606257894333	1516	11	231	[31]
519	0.105322028723	0.235441202543	9.4946898776	0.606352267042	1499	16	231	[31]
520	0.105259083876	0.235283939695	9.5003676944	0.606431987612	1499	18	231	[31]
521	0.105196808356	0.235128370883	9.5059918226	0.606520402076	1501	18	232	[31]
522	0.105123957373	0.234946411269	9.5125794823	0.606422920170	1526	12	232	[31]
523	0.105060802413	0.234788693346	9.5182977574	0.606490257989	1527	9	232	[31]
524	0.104994703137	0.234623646374	9.5242899891	0.606503703109	1507	20	233	[31]
525	0.104932501974	0.234468355080	9.5299357319	0.606581817249	1518	17	233	[31]
526	0.104842223196	0.234243003664	9.5381418814	0.606169958483	1542	8	233	[31]
527	0.104773730241	0.234072063746	9.5443771802	0.606132867329	1503	24	234	[31]
528	0.104705717483	0.233902348150	9.5505768361	0.606101158058	1520	19	230	[31]
529	0.104653196786	0.233771308303	9.5553698378	0.606335741414	1539	13	231	[31]
530	0.104601621148	0.233642641351	9.5600812781	0.606584230728	1542	13	231	[31]
531	0.104530261301	0.233464642709	9.5666076747	0.606485789161	1528	21	232	[31]
532	0.104472190838	0.233319813788	9.5719252366	0.606615829399	1514	22	232	[31]
533	0.104408443290	0.233160847727	9.5777694647	0.606644229278	1536	20	232	[31]
534	0.104354681221	0.233026799857	9.5827037973	0.606844002710	1553	14	233	[31]
535	0.104284729436	0.232852409383	9.5891316534	0.606758596592	1536	20	235	[31]
536	0.104236224359	0.232731501750	9.5935938408	0.607044887225	1560	13	236	[31]
537	0.104200166810	0.232641630305	9.5969136194	0.607546507044	1557	16	236	[31]
538	0.104139994611	0.232491670539	9.6024587262	0.607624012485	1546	19	235	[31]
539	0.104085424686	0.232355690049	9.6074931050	0.607796956175	1560	14	236	[31]
540	0.104028065780	0.232212777670	9.6127904763	0.607918459074	1579	13	237	[31]
541	0.103956095425	0.232033486070	9.6194455545	0.607781032253	1579	14	238	[31]
542	0.103896271526	0.231884475479	9.6249844707	0.607853853300	1563	20	238	[31]
543	0.103840056241	0.231744471429	9.6301950923	0.607987392464	1574	16	239	[31]
544	0.103777798376	0.231589438842	9.6359723915	0.608012151035	1593	11	240	[31]
545	0.103698649209	0.231392375159	9.6433271564	0.607737171205	1590	13	240	[31]
546	0.103632560998	0.231227856990	9.6494768668	0.607688943617	1576	17	235	[31]
547	0.103569738029	0.231071489714	9.6553300127	0.607695414847	1611	8	236	[31]
548	0.103516710220	0.230939519788	9.6602760837	0.607871725680	1594	14	237	[31]
549	0.103461319468	0.230801685894	9.6654479678	0.608003924833	1594	14	238	[31]
550	0.103412725757	0.230680779725	9.6699897685	0.608253540851	1591	17	239	[31]
551	0.103349986940	0.230524698455	9.6758599552	0.608251063713	1608	12	240	[31]
552	0.103281253115	0.230353727908	9.6822992541	0.608140005251	1620	9	241	[31]
553	0.103192677349	0.230133440579	9.6906100868	0.607675563808	1604	14	242	[31]
554	0.103134643598	0.229989134627	9.6960629825	0.607747919960	1604	18	243	[31]
555	0.103069135601	0.229826265751	9.7022255418	0.607685515102	1613	16	244	[31]
556	0.103008498603	0.229675528570	9.7079368553	0.607706614090	1587	24	244	[31]
557	0.102959193065	0.229552975225	9.7125858336	0.607925814953	1607	16	244	[31]
558	0.102890885379	0.229383212593	9.7190338708	0.607805900730	1623	14	245	[31]
559	0.102835060626	0.229244492541	9.7243099184	0.607904604908	1601	23	243	[31]
560	0.102759440802	0.229056610847	9.7314659577	0.607649610356	1617	19	244	[31]
561	0.102706403416	0.228924855381	9.7364912677	0.607792623858	1612	21	245	[31]
562	0.102648463746	0.228780939462	9.7419870060	0.607846160320	1627	19	246	[31]
563	0.102584383595	0.228621792890	9.7480724157	0.607788046588	1630	19	245	[31]
564	0.102533756983	0.228496074991	9.7528855806	0.607966593691	1629	18	246	[31]
565	0.102476282129	0.228353368470	9.7583555846	0.608020930781	1638	17	247	[31]
566	0.102415656133	0.228202857665	9.7641321431	0.608016669643	1655	11	247	[31]
567	0.102357757586	0.228059137036	9.7696552131	0.608058477551	1645	17	249	[31]
568	0.102303579980	0.227924669629	9.7748289962	0.608164170351	1660	13	249	[31]
569	0.102228477823	0.227738294873	9.7820100748	0.607894129048	1659	12	249	[31]
570	0.102154002125	0.227553505538	9.7891416802	0.607632525906	1669	13	252	[31]
571	0.102099211501	0.227417578442	9.7943949351	0.607719640902	1649	19	253	[31]
572	0.102011985884	0.227201219349	9.8027696582	0.607224988298	1652	17	250	[31]
573	0.101960024776	0.227072352209	9.8077653688	0.607357528223	1676	11	251	[31]
574	0.101890845680	0.226900806411	9.8144243806	0.607179909252	1672	16	251	[31]
575	0.101834446460	0.226760970867	9.8198599272	0.607228246997	1670	11	252	[31]
576	0.101756954480	0.226568866828	9.8273381422	0.606896711791	1674	15	252	[31]
577	0.101683846137	0.226387660290	9.8344037720	0.606640928362	1677	15	253	[31]
578	0.101644184583	0.226289367395	9.8382411557	0.606981489427	1683	16	250	[31]
579	0.101573311979	0.226113746026	9.8451057716	0.606760645402	1679	17	251	[31]
580	0.101517350947	0.225975094909	9.8505328466	0.606804542274	1700	12	252	[31]
581	0.101460762549	0.225834906969	9.8560268509	0.606834828300	1696	13	253	[31]
582	0.101401478527	0.225688060027	9.8617891428	0.606814356358	1699	13	253	[31]
583	0.101333376820	0.225519395527	9.8684168177	0.606633096259	1711	9	254	[31]
584	0.101249350886	0.225311327421	9.8766065288	0.606163232134	1704	15	255	[31]
585	0.101170033064	0.225114953407	9.8843498387	0.605775272825	1718	10	257	[31]
586	0.101080252287	0.224892717162	9.8931292451	0.605196722846	1726	9	257	[31]
587	0.101036079748	0.224783392240	9.8974544786	0.605435053744	1707	15	253	[31]
588	0.100979946625	0.224644480945	9.9029563138	0.605456207902	1716	15	254	[31]
589	0.100923818163	0.224505598528	9.9084638116	0.605475134169	1697	22	254	[31]
590	0.100874854803	0.224384459364	9.9132732528	0.605620795724	1719	14	254	[31]
591	0.100830846743	0.224275591256	9.9175999439	0.605853643024	1702	20	253	[31]
592	0.100759270929	0.224098548190	9.9246450553	0.605587295866	1717	18	254	[31]
593	0.100720447111	0.224002529108	9.9284706202	0.605909313788	1723	17	254	[31]
594	0.100677806701	0.223897080382	9.9326756588	0.606160569370	1740	12	255	[31]
595	0.100638451902	0.223799765767	9.9365598447	0.606469281616	1730	16	256	[31]
596	0.100580242544	0.223655844138	9.9423104847	0.606435051755	1746	13	257	[31]
597	0.100516024832	0.223497088568	9.9486624314	0.606289777813	1728	18	258	[31]
598	0.100458969226	0.223356057788	9.9543127677	0.606271756834	1726	20	259	[31]
599	0.100407480204	0.223228801917	9.9594173459	0.606352297202	1740	17	258	[31]
600	0.100352826383	0.223093740137	9.9648414105	0.606373308809	1729	21	258	[31]
601	0.100293713018	0.222947676301	9.9707147129	0.606311214943	1734	20	260	[31]
602	0.100253249532	0.222847705712	9.9747390201	0.606585279166	1757	14	259	[31]
603	0.100198238967	0.222711808992	9.9802153242	0.606593256743	1769	11	260	[31]
604	0.100140346297	0.222568810336	9.9859850398	0.606546645683	1771	13	257	[31]
605	0.100088871777	0.222441680379	9.9911207135	0.606614456699	1767	14	258	[31]
606	0.100030071383	0.222296475032	9.9969937657	0.606546862159	1769	15	259	[31]
607	0.099966857936	0.222140392979	10.0033153052	0.606396683010	1770	14	259	[31]
608	0.099924276481	0.222035266300	10.0075780903	0.606619848640	1792	9	259	[31]
609	0.099866127055	0.221891720902	10.0134052405	0.606557414177	1785	11	261	[31]
610	0.099815914868	0.221767783982	10.0184424630	0.606637439662	1780	14	262	[31]
611	0.099761292981	0.221632978460	10.0239278193	0.606634936656	1780	16	263	[31]
612	0.099723451037	0.221539595032	10.0277315877	0.606936589700	1793	12	262	[31]
613	0.099673174688	0.221415539082	10.0327896962	0.607009304352	1801	11	263	[31]
614	0.099595586920	0.221224119903	10.0406055220	0.606580796354	1793	10	264	[31]
615	0.099523852223	0.221047170364	10.0478425791	0.606256836357	1783	18	265	[31]
616	0.099471113265	0.220917096009	10.0531698820	0.606277774479	1809	11	262	[31]
617	0.099433253615	0.220823729089	10.0569976707	0.606568866486	1818	10	263	[31]
618	0.099386919426	0.220709473513	10.0616862438	0.606703029636	1816	12	263	[31]
619	0.099324395096	0.220555313268	10.0680200371	0.606538587326	1788	21	264	[31]
620	0.099269074844	0.220418933272	10.0736307009	0.606503920784	1807	16	264	[31]
621	0.099223699230	0.220307082114	10.0782374348	0.606649498501	1823	12	265	[31]
622	0.099170830062	0.220176773514	10.0836102650	0.606655626123	1797	21	266	[31]
623	0.099104271565	0.220012746064	10.0903824246	0.606408343189	1824	14	267	[31]
624	0.099052086817	0.219884158379	10.0956984566	0.606422740306	1818	15	268	[31]
625	0.099004537774	0.219767006438	10.1005471313	0.606520268928	1815	16	269	[31]
626	0.098944637779	0.219619441663	10.1066618914	0.606388731310	1836	12	269	[31]
627	0.098899091950	0.219507251777	10.1113162951	0.606519059898	1831	12	270	[31]
628	0.098846826920	0.219378524923	10.1166626300	0.606523791991	1821	16	271	[31]
629	0.098777652068	0.219208172755	10.1237474172	0.606215088922	1831	16	272	[31]
630	0.098694562519	0.219003588384	10.1322704562	0.605647917625	1825	20	272	[31]
631	0.098635078252	0.218857148469	10.1383809667	0.605513094817	1823	20	271	[31]
632	0.098575483131	0.218710455033	10.1445102599	0.605374078722	1833	19	272	[31]
633	0.098524199442	0.218584235719	10.1497906673	0.605386112553	1846	16	272	[31]
634	0.098473505010	0.218459480797	10.1550158075	0.605407011699	1866	11	273	[31]
635	0.098420878433	0.218329985863	10.1604457908	0.605390269234	1843	20	272	[31]
636	0.098370546190	0.218206150596	10.1656444813	0.605413866560	1855	16	273	[31]
637	0.098320014828	0.218081839333	10.1708690926	0.605431814143	1851	19	273	[31]
638	0.098273408131	0.217967195416	10.1756926825	0.605520333998	1856	16	274	[31]
639	0.098209083120	0.217808987165	10.1823575603	0.605279308267	1858	13	270	[31]
640	0.098167293330	0.217706216694	10.1866921872	0.605452984513	1880	11	271	[31]
641	0.098130127157	0.217614824737	10.1905503332	0.605710516877	1874	14	271	[31]
642	0.098074289947	0.217477534688	10.1963521789	0.605620469697	1858	20	273	[31]
643	0.098029775307	0.217368096248	10.2009822716	0.605738244407	1872	18	274	[31]
644	0.097963014461	0.217203986159	10.2079341423	0.605441642953	1899	9	275	[31]
645	0.097909708948	0.217072969123	10.2134917032	0.605392440044	1875	18	275	[31]
646	0.097841862817	0.216906235801	10.2205740080	0.605071442403	1872	19	276	[31]
647	0.097791880162	0.216783418397	10.2257978714	0.605079819589	1889	15	276	[31]
648	0.097741553457	0.216659769341	10.2310630907	0.605079887545	1887	13	276	[31]
649	0.097694837551	0.216545004100	10.2359554002	0.605145129226	1893	15	276	[31]
650	0.097654656277	0.216446301754	10.2401671167	0.605330036076	1885	18	277	[31]
651	0.097596161828	0.216302630152	10.2463045807	0.605172526764	1895	17	277	[31]
652	0.097558909594	0.216211142492	10.2502170654	0.605408352707	1885	19	278	[31]
653	0.097517927005	0.216110502187	10.2545247906	0.605573083283	1901	17	279	[31]
654	0.097473970916	0.216002570064	10.2591490898	0.605680685565	1898	19	280	[31]
655	0.097423061088	0.215877576499	10.2645101563	0.605656822402	1921	12	281	[31]
656	0.097374559150	0.215758507889	10.2696228741	0.605675982961	1922	13	281	[31]
657	0.097318003293	0.215619683672	10.2755910126	0.605542931394	1921	14	280	[31]
658	0.097273234315	0.215509804323	10.2803202447	0.605628023530	1925	14	281	[31]
659	0.097223365675	0.215387421381	10.2855933145	0.605616039503	1917	17	281	[31]
660	0.097163149548	0.215239662624	10.2919677332	0.605408741788	1918	20	283	[31]
661	0.097115694265	0.215123230403	10.2969968713	0.605438057707	1922	17	284	[31]
662	0.097075437605	0.215024469702	10.3012669803	0.605600270334	1913	20	285	[31]
663	0.097023214253	0.214896364523	10.3068117017	0.605536746141	1924	15	278	[31]
664	0.096964500595	0.214752356156	10.3130526519	0.605349759781	1922	20	278	[31]
665	0.096921317265	0.214646451340	10.3176476364	0.605451792644	1944	14	279	[31]
666	0.096883374172	0.214553406285	10.3216884068	0.605650382846	1958	10	279	[31]
667	0.096844971710	0.214459242714	10.3257813219	0.605838772375	1948	15	280	[31]
668	0.096803845972	0.214358410497	10.3301680833	0.605974429357	1961	11	281	[31]
669	0.096761054648	0.214253504338	10.3347364664	0.606077131756	1948	16	281	[31]
670	0.096710642894	0.214129928872	10.3401235901	0.606034870494	1953	17	282	[31]
671	0.096660381360	0.214006735375	10.3455002549	0.605993593579	1961	15	282	[31]
672	0.096617458730	0.213901540745	10.3500962781	0.606088584123	1977	11	284	[31]
673	0.096567280443	0.213778576650	10.3554743948	0.606045270999	1952	20	285	[31]
674	0.096522541403	0.213668953186	10.3602742475	0.606102591809	1978	13	286	[31]
675	0.096462099918	0.213520871475	10.3667658163	0.605862271579	1975	15	286	[31]
676	0.096401378083	0.213372122854	10.3732956923	0.605614720437	1994	10	285	[31]
677	0.096335502932	0.213210772902	10.3803890525	0.605268086386	1980	14	286	[31]
678	0.096285472622	0.213088247904	10.3857827434	0.605218219240	1997	11	287	[31]
679	0.096229771263	0.212951850378	10.3917944195	0.605059570454	1981	18	288	[31]
680	0.096186948877	0.212847001396	10.3964208417	0.605142087563	1994	13	288	[31]
681	0.096149167638	0.212754503720	10.4005060529	0.605318153550	1992	14	282	[31]
682	0.096108475555	0.212654888238	10.4049096006	0.605437672210	1997	13	283	[31]
683	0.096053487358	0.212520289673	10.4108661487	0.605285283872	1994	17	283	[31]
684	0.096005239420	0.212402203213	10.4160981842	0.605258513295	1993	18	285	[31]
685	0.095963209581	0.212299345774	10.4206602131	0.605347657661	1967	28	285	[31]
686	0.095916791464	0.212185760245	10.4257032031	0.605352086471	2005	15	284	[31]
687	0.095866669265	0.212063123891	10.4311540984	0.605284640228	2002	17	285	[31]
688	0.095819618243	0.211948014304	10.4362761858	0.605273621053	2011	14	286	[31]
689	0.095776521417	0.211842589107	10.4409722258	0.605335857526	1982	24	286	[31]
690	0.095739586337	0.211752245018	10.4450002163	0.605513361368	1999	21	286	[31]
691	0.095702112615	0.211660590940	10.4490901264	0.605679147706	2020	15	287	[31]
692	0.095647318573	0.211526588105	10.4550761581	0.605514423138	2028	14	287	[31]
693	0.095609967819	0.211435253413	10.4591605124	0.605679327068	1985	29	288	[31]
694	0.095577604545	0.211356120824	10.4627020604	0.605937590104	2041	12	289	[31]
695	0.095541834438	0.211268664657	10.4666192133	0.606129653667	2019	19	290	[31]
696	0.095494840136	0.211153776393	10.4717699781	0.606106522596	2040	14	290	[31]
697	0.095453108585	0.211051764128	10.4763481758	0.606181959838	2046	13	290	[31]
698	0.095408603895	0.210942983331	10.4812350163	0.606202949821	2052	9	290	[31]
699	0.095364768091	0.210835847925	10.4860528686	0.606235056777	2062	10	290	[31]
700	0.095328417403	0.210747014136	10.4900514164	0.606408373295	2020	24	291	[31]
701	0.095294937721	0.210665202825	10.4937368544	0.606635064530	2048	17	292	[31]
702	0.095249664637	0.210554582660	10.4987246287	0.606635020147	2034	21	292	[31]
703	0.095203312211	0.210441336702	10.5038362298	0.606612701467	2047	18	292	[31]
704	0.095165539044	0.210349059746	10.5080054192	0.606752807976	2072	12	293	[31]
705	0.095123563481	0.210246525696	10.5126423297	0.606811008320	2040	21	293	[31]
706	0.095059583683	0.210090260019	10.5197178575	0.606446403610	2058	17	294	[31]
707	0.095016794188	0.209985762339	10.5244552665	0.606485656601	2063	17	293	[31]
708	0.094971076220	0.209874123853	10.5295216165	0.606467225958	2073	16	294	[31]
709	0.094903939944	0.209710204546	10.5369703364	0.606036753288	2060	16	295	[31]
710	0.094862542816	0.209609141823	10.5415685719	0.606097697641	2079	15	295	[31]
711	0.094822548010	0.209511511365	10.5460148560	0.606183993363	2063	22	296	[31]
712	0.094762121119	0.209364020949	10.5527397254	0.605876786580	2087	11	296	[31]
713	0.094723474926	0.209269703350	10.5570451335	0.605985726843	2074	20	297	[31]
714	0.094680907533	0.209165825223	10.5617914536	0.606017894174	2059	23	297	[31]
715	0.094641936116	0.209070730999	10.5661405614	0.606117593661	2053	26	294	[31]
716	0.094606023058	0.208983106730	10.5701515366	0.606274611161	2112	10	295	[31]
717	0.094555094518	0.208858858105	10.5758447506	0.606141410070	2080	22	295	[31]
718	0.094516990343	0.208765905787	10.5801083633	0.606253273648	2098	17	295	[31]
719	0.094483068127	0.208683161631	10.5839069351	0.606444208771	2112	13	296	[31]
720	0.094432226719	0.208559159248	10.5896052094	0.606307845483	2090	22	296	[31]
721	0.094391454449	0.208459725591	10.5941793761	0.606363845957	2092	22	297	[31]
722	0.094355052458	0.208370957546	10.5982665893	0.606502616556	2110	17	297	[31]
723	0.094314105739	0.208271115486	10.6028678549	0.606552295985	2107	16	298	[31]
724	0.094276320996	0.208178991411	10.6071173486	0.606661515255	2102	21	299	[31]
725	0.094243586191	0.208099185949	10.6108016515	0.606866853857	2125	15	299	[31]
726	0.094206583371	0.208008982272	10.6149694025	0.606988384995	2119	15	300	[31]
727	0.094163863674	0.207904851436	10.6197851382	0.606997944735	2123	17	300	[31]
728	0.094123254563	0.207805874336	10.6243670031	0.607046817020	2101	25	301	[31]
729	0.094090172679	0.207725250000	10.6281025056	0.607239934899	2122	19	302	[31]
730	0.094054306383	0.207637846387	10.6321553840	0.607377801364	2130	18	303	[31]
731	0.094019615506	0.207553313770	10.6360783823	0.607537079808	2117	20	303	[31]
732	0.093968637774	0.207429106081	10.6418484261	0.607379142897	2112	26	302	[31]
733	0.093937841419	0.207354077266	10.6453372240	0.607611106617	2125	23	303	[31]
734	0.093903845427	0.207271259133	10.6491911535	0.607779701878	2138	20	303	[31]
735	0.093864252048	0.207174812957	10.6536831454	0.607838228698	2149	16	304	[31]
736	0.093820484107	0.207068207704	10.6586531664	0.607814173337	2140	19	300	[31]
737	0.093776956596	0.206962198277	10.6636004867	0.607793274957	2144	17	301	[31]
738	0.093748786474	0.206893596554	10.6668047407	0.608069648041	2145	21	302	[31]
739	0.093708313182	0.206795040813	10.6714118102	0.608105315159	2158	19	303	[31]
740	0.093668723933	0.206698646304	10.6759221009	0.608156749612	2165	17	304	[31]
741	0.093618639486	0.206576709461	10.6816335453	0.608002247028	2140	26	304	[31]
742	0.093559158917	0.206431914090	10.6884244319	0.607663054042	2185	12	305	[31]
743	0.093524144115	0.206346685370	10.6924261052	0.607799083826	2162	20	305	[31]
744	0.093482804290	0.206246069534	10.6971544938	0.607810405940	2203	8	304	[31]
745	0.093443746426	0.206151016129	10.7016257187	0.607864805954	2198	10	305	[31]
746	0.093395398525	0.206033365313	10.7071656184	0.607736424307	2183	16	306	[31]
747	0.093353086356	0.205930412272	10.7120186277	0.607724358890	2161	24	306	[31]
748	0.093300265654	0.205801903585	10.7180830943	0.607505534516	2190	16	305	[31]
749	0.093258982565	0.205701475442	10.7228276837	0.607510567747	2223	7	306	[31]
750	0.093221117289	0.205609369751	10.7271831649	0.607580986662	2206	13	305	[31]
751	0.093185964727	0.205523869509	10.7312297826	0.607703103251	2187	20	306	[31]
752	0.093149937062	0.205436247664	10.7353803077	0.607806776799	2200	15	306	[31]
753	0.093115114573	0.205351563510	10.7393950444	0.607932725091	2208	15	306	[31]
754	0.093070640075	0.205243416274	10.7445269442	0.607868233108	2198	17	307	[31]
755	0.093032036861	0.205149554652	10.7489853360	0.607917352849	2204	18	308	[31]
756	0.092982185154	0.205028354751	10.7547483246	0.607744504129	2191	23	302	[31]
757	0.092941461286	0.204929356418	10.7594606988	0.607749162257	2181	28	303	[31]
758	0.092896660152	0.204820456658	10.7646496479	0.607672393457	2207	21	304	[31]
759	0.092864965318	0.204743421360	10.7683236253	0.607851480084	2208	19	304	[31]
760	0.092838292626	0.204678596707	10.7714173938	0.608128037341	2216	19	305	[31]
761	0.092793567659	0.204569906806	10.7766090391	0.608048573870	2194	27	305	[31]
762	0.092759771726	0.204487783577	10.7805353699	0.608182591681	2214	23	305	[31]
763	0.092722042391	0.204396109513	10.7849220554	0.608237938864	2209	23	306	[31]
764	0.092691384043	0.204321622021	10.7884892466	0.608431176440	2211	23	307	[31]
765	0.092645251156	0.204209547091	10.7938613963	0.608318359732	2206	25	296	[31]
766	0.092618448344	0.204144437751	10.7969850271	0.608585039745	2193	32	297	[31]
767	0.092589892854	0.204075075040	10.8003149067	0.608816071683	2232	20	298	[31]
768	0.092563504785	0.204010980985	10.8033938681	0.609088767609	2221	25	299	[31]
769	0.092538600556	0.203950494451	10.8063013055	0.609389717881	2227	25	300	[31]
770	0.092502877290	0.203863736810	10.8104745419	0.609475777476	2221	28	301	[31]
771	0.092465977705	0.203774129528	10.8147885830	0.609537285154	2246	18	301	[31]
772	0.092423655880	0.203671363801	10.8197407956	0.609490204703	2239	18	297	[31]
773	0.092393607217	0.203598405546	10.8232596402	0.609684653180	2242	22	298	[31]
774	0.092367699274	0.203535504852	10.8262954243	0.609959976885	2248	18	299	[31]
775	0.092321628711	0.203423661136	10.8316979885	0.609834619754	2240	25	300	[31]
776	0.092276871777	0.203315017339	10.8369516732	0.609733857423	2244	25	301	[31]
777	0.092241597342	0.203229399082	10.8410958701	0.609819719418	2256	20	301	[31]
778	0.092191424750	0.203107631418	10.8469958319	0.609608729171	2268	19	301	[31]
779	0.092163493263	0.203039848208	10.8502831717	0.609837659379	2281	17	302	[31]
780	0.092126065352	0.202949025930	10.8546912991	0.609876883000	2272	19	303	[31]
781	0.092077593993	0.202831416834	10.8604054106	0.609695404460	2291	15	302	[31]
782	0.092048924358	0.202761859813	10.8637880016	0.609906001373	2267	22	303	[31]
783	0.092015410815	0.202680556280	10.8677447739	0.610019152165	2266	24	304	[31]
784	0.091979107013	0.202592490379	10.8720342312	0.610075562903	2289	19	302	[31]
785	0.091947441499	0.202515681803	10.8757784197	0.610223044503	2317	9	303	[31]
786	0.091907728500	0.202419360641	10.8804778044	0.610209049451	2257	30	304	[31]
787	0.091875063534	0.202340140315	10.8843462147	0.610334176585	2277	26	304	[31]
788	0.091844484186	0.202265983274	10.8879701254	0.610499701271	2265	28	305	[31]
789	0.091808077486	0.202177701012	10.8922877745	0.610547816677	2279	27	306	[31]
790	0.091763410768	0.202069398780	10.8975896998	0.610429809925	2307	19	307	[31]
791	0.091724762349	0.201975697557	10.9021814218	0.610430562165	2319	13	307	[31]
792	0.091678315780	0.201863100645	10.9077047445	0.610274270771	2300	21	306	[31]
793	0.091638282424	0.201766060042	10.9124699148	0.610244690049	2293	24	307	[31]
794	0.091589188123	0.201647067440	10.9183192961	0.610032720961	2303	22	307	[31]
795	0.091546991564	0.201544803559	10.9233518537	0.609957196514	2319	16	307	[31]
796	0.091504596019	0.201442067000	10.9284128176	0.609876349016	2288	29	300	[31]
797	0.091474958782	0.201370253173	10.9319535457	0.610049378201	2321	18	301	[31]
798	0.091438225009	0.201281250270	10.9363452747	0.610079247563	2314	23	302	[31]
799	0.091411539181	0.201216597223	10.9395379288	0.610309098091	2279	35	303	[31]
800	0.091377179372	0.201133357643	10.9436514332	0.610384127157	2334	18	303	[31]
801	0.091356377053	0.201082965303	10.9461433592	0.610729813309	2337	18	304	[31]
802	0.091317839738	0.200989617121	10.9507627739	0.610718752410	2330	19	304	[31]
803	0.091297280047	0.200939819024	10.9532288310	0.611067326220	2351	17	305	[31]
804	0.091272294382	0.200879303707	10.9562272623	0.611326120200	2318	25	306	[31]
805	0.091248712362	0.200822191073	10.9590587540	0.611612164346	2333	23	307	[31]
806	0.091223937322	0.200762192290	10.9620350684	0.611873269062	2343	22	308	[31]
807	0.091197478621	0.200698119725	10.9652154327	0.612099505695	2334	25	309	[31]
808	0.091168011365	0.200626766014	10.9687596014	0.612264114760	2342	23	310	[31]
809	0.091139609043	0.200557995375	10.9721778544	0.612449106587	2338	24	311	[31]
810	0.091103453432	0.200470457889	10.9765323084	0.612476653391	2338	24	311	[31]
811	0.091061406375	0.200368665196	10.9816006562	0.612384111605	2346	24	311	[31]
812	0.091013201078	0.200251975465	10.9874170797	0.612165989590	2349	23	312	[31]
813	0.090969940209	0.200147265163	10.9926421596	0.612046295139	2342	31	312	[31]
814	0.090932347064	0.200056281335	10.9971867249	0.612039719503	2345	27	312	[31]
815	0.090902921087	0.199985069132	11.0007465991	0.612196899997	2337	31	313	[31]
816	0.090868058993	0.199900707245	11.0049671038	0.612243118850	2385	18	314	[31]
817	0.090836958344	0.199825453042	11.0087349712	0.612364219831	2335	36	314	[31]
818	0.090811796490	0.199764572702	11.0117852377	0.612604390899	2380	20	312	[31]
819	0.090787068617	0.199704745684	11.0147845418	0.612852387766	2387	20	313	[31]
820	0.090756683093	0.199631234908	11.0184723143	0.612984789423	2362	28	314	[31]
821	0.090724778422	0.199554054194	11.0223471183	0.613085303615	2368	26	315	[31]
822	0.090699013068	0.199491729079	11.0254782955	0.613309231344	2369	28	316	[31]
823	0.090672706459	0.199428098338	11.0286770854	0.613521197318	2359	33	317	[31]
824	0.090648398213	0.199369304535	11.0316345320	0.613772766816	2380	27	312	[31]
825	0.090622732401	0.199307230629	11.0347588680	0.613995808520	2385	27	313	[31]
826	0.090588790902	0.199225146987	11.0388933337	0.614049577226	2382	30	314	[31]
827	0.090557480811	0.199149432538	11.0427100119	0.614155728559	2409	22	314	[31]
828	0.090524088971	0.199068689722	11.0467833630	0.614218403981	2405	23	315	[31]
829	0.090479618348	0.198961167167	11.0522128437	0.614054347654	2392	28	316	[31]
830	0.090439636341	0.198864506314	11.0570988613	0.613980409962	2405	24	317	[31]
831	0.090394941183	0.198756460965	11.0625659679	0.613809213887	2384	34	316	[31]
832	0.090361794430	0.198676339399	11.0666239677	0.613872058769	2412	23	317	[31]
833	0.090329949168	0.198599369267	11.0705254371	0.613960313139	2436	16	318	[31]
834	0.090295906267	0.198517093391	11.0746991901	0.614002634075	2411	27	319	[31]
835	0.090257023056	0.198423126847	11.0794702300	0.613945033914	2439	19	320	[31]
836	0.090219139452	0.198331583713	11.0841225717	0.613906622485	2428	21	321	[31]
837	0.090182017342	0.198241888072	11.0886851888	0.613882561087	2407	31	322	[31]
838	0.090145919790	0.198154675020	11.0931254829	0.613878243316	2434	23	321	[31]
839	0.090115773776	0.198081846412	11.0968364150	0.613994398625	2432	26	322	[31]
840	0.090094648732	0.198030814098	11.0994383581	0.614294002391	2447	20	316	[31]
841	0.090067208394	0.197964529303	11.1028199700	0.614463516826	2421	28	317	[31]
842	0.090030152352	0.197875023188	11.1073898452	0.614435141926	2442	25	318	[31]
843	0.090001251871	0.197805221284	11.1109565613	0.614572644809	2429	30	319	[31]
844	0.089976898872	0.197746406131	11.1139638345	0.614802335946	2434	29	320	[31]
845	0.089940236862	0.197657869307	11.1184941789	0.614778668294	2457	20	321	[31]
846	0.089901911938	0.197565324260	11.1232339607	0.614719722131	2419	36	321	[31]
847	0.089869098934	0.197486095305	11.1272952757	0.614772697893	2465	21	323	[31]
848	0.089833227686	0.197399488574	11.1317385088	0.614761787121	2476	22	324	[31]
849	0.089805139434	0.197331677698	11.1352201701	0.614909587849	2480	19	325	[31]
850	0.089769330303	0.197245233086	11.1396620274	0.614897718329	2483	18	326	[31]
851	0.089734966619	0.197162284232	11.1439279211	0.614914419025	2453	30	326	[31]
852	0.089685160166	0.197042069933	11.1501166765	0.614612457936	2469	26	327	[31]
853	0.089636225155	0.196923971783	11.1562038481	0.614327147742	2487	21	328	[31]
854	0.089604194293	0.196846676426	11.1601918626	0.614388231013	2501	15	329	[31]
855	0.089550875590	0.196718022323	11.1668366547	0.614010254623	2491	20	330	[31]
856	0.089512277242	0.196624896755	11.1716518763	0.613933854466	2507	17	330	[31]
857	0.089490121022	0.196571444392	11.1744177858	0.614194761673	2508	17	331	[31]
858	0.089459012099	0.196496397829	11.1783036335	0.614270390458	2517	14	332	[31]
859	0.089421799658	0.196406633992	11.1829554295	0.614219191301	2494	25	333	[31]
860	0.089389990162	0.196329908954	11.1869348927	0.614278223599	2513	19	334	[31]
861	0.089357998576	0.196252750118	11.1909399935	0.614332441967	2517	17	333	[31]
862	0.089329838954	0.196184837881	11.1944677356	0.614464672407	2509	19	333	[31]
863	0.089300856668	0.196114946021	11.1981008616	0.614578935789	2539	14	334	[31]
864	0.089269162397	0.196038519201	11.2020766539	0.614636181442	2536	15	334	[31]
865	0.089243717312	0.195977165370	11.2052705795	0.614821523946	2531	17	335	[31]
866	0.089212319646	0.195901463251	11.2092141979	0.614882860305	2532	19	336	[31]
867	0.089173556116	0.195808008682	11.2140868163	0.614790793905	2534	18	337	[31]
868	0.089143525778	0.195735614338	11.2178645759	0.614878272117	2550	12	337	[31]
869	0.089111219540	0.195657738797	11.2219314825	0.614917620999	2515	25	337	[31]
870	0.089071519105	0.195562046798	11.2269332560	0.614802790866	2541	22	338	[31]
871	0.089031505226	0.195465607728	11.2319790333	0.614680311574	2519	24	337	[31]
872	0.089001202540	0.195392579635	11.2358032415	0.614757886572	2526	26	338	[31]
873	0.088971755184	0.195321617503	11.2395220026	0.614852181429	2533	22	339	[31]
874	0.088943641438	0.195253873379	11.2430746463	0.614973143859	2542	20	340	[31]
875	0.088907703200	0.195167281103	11.2476193176	0.614930771742	2545	23	341	[31]
876	0.088874817809	0.195088050569	11.2517811530	0.614950666447	2526	30	342	[31]
877	0.088842500836	0.195010195093	11.2558740534	0.614981311759	2549	22	342	[31]
878	0.088809619320	0.194930985232	11.2600415097	0.614999186531	2548	26	343	[31]
879	0.088766129827	0.194826230088	11.2655581802	0.614795571717	2562	22	344	[31]
880	0.088730768934	0.194741062046	11.2700477187	0.614759724706	2526	32	345	[31]
881	0.088689098193	0.194640704983	11.2753429720	0.614591607108	2582	18	345	[31]
882	0.088644076014	0.194532286851	11.2810696999	0.614352652334	2506	40	312	[31]
883	0.088609791435	0.194449733171	11.2854345305	0.614335831576	2492	47	311	[31]
884	0.088584568760	0.194389003573	11.2886478311	0.614506514048	2517	38	312	[31]
885	0.088546900610	0.194298314788	11.2934500599	0.614417198105	2509	41	313	[31]
886	0.088516524465	0.194225187490	11.2973256242	0.614478627290	2508	43	313	[31]
887	0.088469115386	0.194111064977	11.3033796669	0.614184248177	2499	44	315	[31]
888	0.088430782611	0.194018799503	11.3082794302	0.614077763550	2515	43	315	[31]
889	0.088403439155	0.193952989627	11.3117771159	0.614199195158	2482	58	314	[31]
890	0.088370985662	0.193874886104	11.3159312698	0.614213140693	2517	46	314	[31]
891	0.088342899386	0.193807297341	11.3195288693	0.614317164094	2496	54	314	[31]
892	0.088309023354	0.193725781249	11.3238711291	0.614299412011	2515	49	315	[31]
893	0.088279757335	0.193655363134	11.3276251565	0.614376861395	2542	39	315	[31]
894	0.088251261180	0.193586801763	11.3312828239	0.614469428348	2536	44	315	[31]
895	0.088219593254	0.193510614181	11.3353503810	0.614494766659	2530	47	315	[31]
896	0.088191710110	0.193443536515	11.3389342236	0.614598225070	2539	46	315	[31]
897	0.088162633052	0.193373591054	11.3426739355	0.614675778398	2534	48	316	[31]
898	0.088129605734	0.193294148572	11.3469246988	0.614669718577	2538	43	313	[31]
899	0.088104192342	0.193233024216	11.3501976855	0.614822021791	2545	43	314	[31]
900	0.088062636910	0.193133082324	11.3555536728	0.614635395041	2548	45	315	[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].
29-Jul-2024:	Many small and some significant improvements for N = 127, 190, 196, 198–202, 204, 205, 208, 209, 211–218, 221, 223, 226–228, 230, 231, 233–251, 253–256, 260–279, 282, 284–288, 290–299, 301–303, 307–311, 313–318, 320–361, 363–386, 388–396, 398–400 by Eckard Specht [31].
30-Jul-2024:	An addendum for N = 76, 81, 82, 99, 100, 105, 114, 120, 123, 145, 146, 156, 157, 165, 178, 192, 195, 198, 205, 211, 228, 235, 241, 242, 244, 257, 265, 273, 289, 300, 303, 307, 308, 311, 315, 318, 319, 325, 328, 339, 360 by Eckard Specht [31].
16-Aug-2024:	Large scale improvements for N = 401–498, 500 by Eckard Specht [31].
18-Aug-2024:	Further improvements for N = 188, 192, 198, 211, 215, 227, 238, 248, 263, 275, 290, 307, 308, 313, 315, 321, 322, 327, 330, 334, 335, 338, 342, 343, 345, 346, 353, 357, 358, 364–369, 374, 375, 377–380, 384, 385, 388, 389, 400, 402–405, 409, 410, 412, 414, 416–420, 423, 424, 426, 430–436, 439, 440, 443, 444, 446, 448, 453, 454, 457, 458, 462–469, 472, 474, 475, 478–480, 482, 487–489, 495, 498–500 by Eckard Specht [31].
21-Aug-2024:	Further improvements for N = 462, 463, 470, 471, 477, 496, 497, 501–525, 527–600 by Eckard Specht [31].
24-Aug-2024:	Further improvements for N = 366–368, 370, 592, 600–700 by Eckard Specht [31].
03-Sep-2024:	Further improvements for N = 220, 314, 339–343, 346–348, 350, 352, 357–361, 367, 368, 372–376, 385–388, 390, 391, 401, 402, 405, 412, 413, 421, 423, 424, 427, 434–438, 445, 452, 457, 458, 462, 465, 475, 478, 479, 481, 504, 521, 526, 537, 545, 551–555, 557, 558, 569, 572–575, 587–589, 591, 592, 604–607, 609, 614, 615, 619–621, 624, 626–633, 637, 641, 642, 644–647, 650, 651, 655–658, 660, 664, 666–672, 675, 680–683, 687, 688, 690, 692–695, 697–700 by Eckard Specht [31].
13-Sep-2024:	Further improvements for N = 532, 614, 631, 639–641, 648, 649, 663 665, 669, 673, 689, 701–800 by Eckard Specht [31].
26-Sep-2024:	Further improvements for N = 509, 766, 772–774, 792, 801–900 by Eckard Specht [31].

[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–September 2024.

The best known packings of equal spheres in a sphere (complete up to N = 900)

Last update: 26-Sep-2024

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