Actual and conjectured gap count

Gap size : 2 (r=1)

Generated by program gapCounts : Wed Jul 16 13:43:30 2008

π(r,x) = actual gap count
L(r,x) = conjectured gap count
D(r,x) = L(r,x) - π(r,x)
S(r,x) = D(r,x)*ln(x)/x^½

x	π(r,x)	L(r,x)	D(r,x)	S(r,x)
1.0000e+02	8	14	5.54	2.55
2.0000e+02	15	19	3.86	1.45
3.0000e+02	19	23	4.21	1.39
4.0000e+02	21	27	6.06	1.82
5.0000e+02	24	31	6.60	1.84
6.0000e+02	26	34	7.92	2.07
7.0000e+02	30	37	7.07	1.75
8.0000e+02	30	40	10.08	2.38
9.0000e+02	35	43	7.99	1.81
1.0000e+03	35	46	10.80	2.36
1.1000e+03	40	49	8.52	1.80
1.2000e+03	41	51	10.18	2.08
1.3000e+03	44	54	9.78	1.94
1.4000e+03	46	56	10.32	2.00
1.5000e+03	50	59	8.81	1.66
1.6000e+03	50	61	11.26	2.08
1.7000e+03	54	64	9.67	1.74
1.8000e+03	56	66	10.03	1.77
1.9000e+03	58	68	10.37	1.80
2.0000e+03	61	71	9.67	1.64
2.1000e+03	64	73	8.94	1.49
2.2000e+03	67	75	8.18	1.34
2.3000e+03	69	77	8.40	1.36
2.4000e+03	72	80	7.59	1.21
2.5000e+03	72	82	9.76	1.53
2.6000e+03	74	84	9.90	1.53
2.7000e+03	76	86	10.03	1.52
2.8000e+03	79	88	9.13	1.37
2.9000e+03	80	90	10.22	1.51
3.0000e+03	81	92	11.29	1.65
3.1000e+03	82	94	12.34	1.78
3.2000e+03	84	96	12.37	1.77
3.3000e+03	86	98	12.39	1.75
3.4000e+03	91	100	9.40	1.31
3.5000e+03	93	102	9.39	1.29
3.6000e+03	97	104	7.36	1.00
3.7000e+03	98	106	8.32	1.12
3.8000e+03	99	108	9.27	1.24
3.9000e+03	101	110	9.21	1.22
4.0000e+03	103	112	9.14	1.20
4.1000e+03	107	114	7.05	0.92
4.2000e+03	109	116	6.95	0.90
4.3000e+03	114	118	3.84	0.49
4.4000e+03	115	120	4.73	0.60
4.5000e+03	117	122	4.60	0.58
4.6000e+03	119	123	4.46	0.55
4.7000e+03	121	125	4.31	0.53
4.8000e+03	123	127	4.15	0.51
4.9000e+03	124	129	4.98	0.61
5.0000e+03	126	131	4.81	0.58
5.2000e+03	129	134	5.43	0.64
5.4000e+03	131	138	7.02	0.82
5.6000e+03	136	142	5.58	0.64
5.8000e+03	140	145	5.11	0.58
6.0000e+03	143	149	5.62	0.63
6.2000e+03	146	152	6.09	0.68
6.4000e+03	149	156	6.54	0.72
6.6000e+03	152	159	6.97	0.75
6.8000e+03	158	162	4.37	0.47
7.0000e+03	162	166	3.75	0.40
7.2000e+03	163	169	6.11	0.64
7.4000e+03	167	172	5.45	0.56
7.6000e+03	172	176	3.76	0.39
7.8000e+03	173	179	6.06	0.61
8.0000e+03	175	182	7.34	0.74
8.2000e+03	177	186	8.60	0.86
8.4000e+03	181	189	7.84	0.77
8.6000e+03	184	192	8.07	0.79
8.8000e+03	185	195	10.28	0.99
9.0000e+03	189	198	9.47	0.91
9.2000e+03	192	202	9.65	0.92
9.4000e+03	195	205	9.81	0.93
9.6000e+03	199	208	8.96	0.84
9.8000e+03	203	211	8.09	0.75
1.0000e+04	205	214	9.21	0.85
1.0500e+04	215	222	6.95	0.63
1.1000e+04	221	230	8.61	0.76
1.1500e+04	228	237	9.20	0.80
1.2000e+04	235	245	9.72	0.83
1.2500e+04	242	252	10.17	0.86
1.3000e+04	246	260	13.55	1.13
1.3500e+04	251	267	15.88	1.30
1.4000e+04	261	274	13.15	1.06
1.4500e+04	267	281	14.37	1.14
1.5000e+04	272	289	16.53	1.30
1.5500e+04	277	296	18.65	1.45
1.6000e+04	284	303	18.72	1.43
1.6500e+04	291	310	18.74	1.42
1.7000e+04	297	317	19.72	1.47
1.7500e+04	304	324	19.66	1.45
1.8000e+04	315	331	15.55	1.14
1.8500e+04	323	337	14.41	1.04
1.9000e+04	327	344	17.23	1.23
1.9500e+04	335	351	16.01	1.13
2.0000e+04	342	358	15.76	1.10
2.1000e+04	357	371	14.16	0.97
2.2000e+04	372	384	12.42	0.84
2.3000e+04	388	398	9.57	0.63
2.4000e+04	402	411	8.60	0.56
2.5000e+04	408	424	15.53	0.99
2.6000e+04	420	436	16.36	1.03
2.7000e+04	431	449	18.08	1.12
2.8000e+04	446	462	15.72	0.96
2.9000e+04	458	474	16.27	0.98
3.0000e+04	467	487	19.73	1.17
3.1000e+04	478	499	21.12	1.24
3.2000e+04	491	511	20.43	1.18
3.3000e+04	510	524	13.66	0.78
3.4000e+04	523	536	12.82	0.73
3.5000e+04	539	548	8.91	0.50
3.6000e+04	550	560	9.94	0.55
3.7000e+04	559	572	12.91	0.71
3.8000e+04	571	584	12.81	0.69
3.9000e+04	582	596	13.65	0.73
4.0000e+04	591	607	16.44	0.87
4.1000e+04	599	619	20.17	1.06
4.2000e+04	611	631	19.85	1.03
4.3000e+04	623	642	19.47	1.00
4.4000e+04	634	654	20.05	1.02
4.5000e+04	645	666	20.57	1.04
4.6000e+04	652	677	25.05	1.25
4.7000e+04	664	688	24.48	1.21
4.8000e+04	675	700	24.87	1.22
4.9000e+04	688	711	23.21	1.13
5.0000e+04	705	723	17.51	0.85
5.2000e+04	728	745	16.98	0.81
5.4000e+04	747	767	20.30	0.95
5.6000e+04	766	789	23.46	1.08
5.8000e+04	789	811	22.48	1.02
6.0000e+04	811	833	22.37	1.00
6.2000e+04	827	855	28.12	1.25
6.4000e+04	845	877	31.74	1.39
6.6000e+04	868	898	30.24	1.31
6.8000e+04	884	920	35.62	1.52
7.0000e+04	905	941	35.90	1.51
7.2000e+04	931	962	31.06	1.29
7.4000e+04	948	983	35.12	1.45
7.6000e+04	967	1004	37.07	1.51
7.8000e+04	987	1025	37.93	1.53
8.0000e+04	1007	1046	38.70	1.54
8.2000e+04	1032	1066	34.37	1.36
8.4000e+04	1053	1087	33.95	1.33
8.6000e+04	1076	1107	31.45	1.22
8.8000e+04	1098	1128	29.86	1.15
9.0000e+04	1116	1148	32.19	1.22
9.2000e+04	1136	1168	32.45	1.22
9.4000e+04	1160	1189	28.62	1.07
9.6000e+04	1181	1209	27.72	1.03
9.8000e+04	1203	1229	25.75	0.95
1.0000e+05	1224	1249	24.71	0.90
1.0500e+05	1273	1298	25.30	0.90
1.1000e+05	1320	1347	27.49	0.96
1.1500e+05	1367	1396	29.29	1.01
1.2000e+05	1424	1445	20.73	0.70
1.2500e+05	1473	1493	19.83	0.66
1.3000e+05	1517	1541	23.60	0.77
1.3500e+05	1562	1588	26.06	0.84
1.4000e+05	1608	1635	27.22	0.86
1.4500e+05	1650	1682	32.09	1.00
1.5000e+05	1701	1729	27.70	0.85
1.5500e+05	1755	1775	20.05	0.61
1.6000e+05	1801	1821	20.14	0.60
1.6500e+05	1845	1867	22.00	0.65
1.7000e+05	1882	1913	30.63	0.89
1.7500e+05	1921	1958	37.03	1.07
1.8000e+05	1976	2003	27.22	0.78
1.8500e+05	2032	2048	16.20	0.46
1.9000e+05	2075	2093	17.98	0.50
1.9500e+05	2115	2138	22.57	0.62
2.0000e+05	2160	2182	21.97	0.60
2.1000e+05	2253	2270	17.24	0.46
2.2000e+05	2329	2358	28.82	0.76
2.3000e+05	2422	2445	22.75	0.59
2.4000e+05	2503	2531	28.08	0.71
2.5000e+05	2588	2617	28.82	0.72
2.6000e+05	2663	2702	39.02	0.95
2.7000e+05	2753	2787	33.69	0.81
2.8000e+05	2835	2871	35.86	0.85
2.9000e+05	2921	2955	33.55	0.78
3.0000e+05	2994	3038	43.79	1.01
3.1000e+05	3083	3121	37.58	0.85
3.2000e+05	3170	3203	32.96	0.74
3.3000e+05	3273	3285	11.93	0.26
3.4000e+05	3345	3367	21.51	0.47
3.5000e+05	3422	3448	25.71	0.55
3.6000e+05	3502	3529	26.55	0.57
3.7000e+05	3574	3609	35.04	0.74
3.8000e+05	3643	3689	46.19	0.96
3.9000e+05	3720	3769	49.02	1.01
4.0000e+05	3804	3849	44.53	0.91
4.1000e+05	3881	3928	46.72	0.94
4.2000e+05	3960	4007	46.62	0.93
4.3000e+05	4054	4085	31.24	0.62
4.4000e+05	4119	4164	44.57	0.87
4.5000e+05	4194	4242	47.62	0.92
4.6000e+05	4271	4319	48.41	0.93
4.7000e+05	4336	4397	60.94	1.16
4.8000e+05	4417	4474	57.22	1.08
4.9000e+05	4487	4551	64.25	1.20
5.0000e+05	4565	4628	63.05	1.17
5.2000e+05	4712	4781	68.94	1.26
5.4000e+05	4876	4933	56.94	1.02
5.6000e+05	5018	5084	66.09	1.17
5.8000e+05	5178	5234	56.42	0.98
6.0000e+05	5331	5384	52.98	0.91
6.2000e+05	5479	5533	53.79	0.91
6.4000e+05	5631	5681	49.87	0.83
6.6000e+05	5776	5828	52.27	0.86
6.8000e+05	5931	5975	44.01	0.72
7.0000e+05	6061	6121	60.10	0.97
7.2000e+05	6201	6267	65.57	1.04
7.4000e+05	6342	6411	69.45	1.09
7.6000e+05	6477	6556	78.74	1.22
7.8000e+05	6618	6699	81.48	1.25
8.0000e+05	6766	6843	76.68	1.17
8.2000e+05	6894	6985	91.35	1.37
8.4000e+05	7050	7128	77.50	1.15
8.6000e+05	7178	7269	91.17	1.34
8.8000e+05	7328	7410	82.35	1.20
9.0000e+05	7472	7551	79.06	1.14
9.2000e+05	7616	7691	75.32	1.08
9.4000e+05	7755	7831	76.13	1.08
9.6000e+05	7890	7971	80.52	1.13
9.8000e+05	8034	8109	75.48	1.05
1.0000e+06	8169	8248	79.03	1.09
1.0500e+06	8543	8593	49.68	0.67
1.1000e+06	8894	8935	40.96	0.54
1.1500e+06	9242	9275	33.02	0.43
1.2000e+06	9599	9613	13.96	0.18
1.2500e+06	9931	9949	17.89	0.22
1.3000e+06	10251	10283	31.92	0.39
1.3500e+06	10601	10615	14.12	0.17
1.4000e+06	10952	10946	-6.41	-0.08
1.4500e+06	11258	11274	16.39	0.19
1.5000e+06	11596	11602	5.60	0.06
1.5500e+06	11936	11927	-8.73	-0.10
1.6000e+06	12260	12251	-8.52	-0.10
1.6500e+06	12600	12574	-25.73	-0.29
1.7000e+06	12931	12896	-35.31	-0.39
1.7500e+06	13271	13216	-55.20	-0.60
1.8000e+06	13583	13535	-48.36	-0.52
1.8500e+06	13916	13852	-63.74	-0.68
1.9000e+06	14240	14169	-71.32	-0.75
1.9500e+06	14562	14484	-78.04	-0.81
2.0000e+06	14871	14798	-72.88	-0.75
2.1000e+06	15515	15423	-91.77	-0.92
2.2000e+06	16117	16044	-72.74	-0.72
2.3000e+06	16755	16661	-93.57	-0.90
2.4000e+06	17360	17275	-85.05	-0.81
2.5000e+06	17937	17885	-51.99	-0.48
2.6000e+06	18545	18492	-53.25	-0.49
2.7000e+06	19154	19095	-58.66	-0.53
2.8000e+06	19757	19696	-61.08	-0.54
2.9000e+06	20334	20294	-40.38	-0.35
3.0000e+06	20932	20889	-43.45	-0.37
3.1000e+06	21544	21481	-63.17	-0.54
3.2000e+06	22137	22071	-66.44	-0.56
3.3000e+06	22737	22658	-79.17	-0.65
3.4000e+06	23327	23243	-84.27	-0.69
3.5000e+06	23911	23825	-85.65	-0.69
3.6000e+06	24497	24406	-91.23	-0.73
3.7000e+06	25122	24984	-137.95	-1.08
3.8000e+06	25698	25560	-137.73	-1.07
3.9000e+06	26291	26134	-156.51	-1.20
4.0000e+06	26860	26707	-153.23	-1.16
4.1000e+06	27456	27277	-178.82	-1.34
4.2000e+06	28031	27846	-185.24	-1.38
4.3000e+06	28591	28413	-178.44	-1.31
4.4000e+06	29132	28978	-154.35	-1.13
4.5000e+06	29705	29541	-163.95	-1.18
4.6000e+06	30257	30103	-154.18	-1.10
4.7000e+06	30817	30663	-153.99	-1.09
4.8000e+06	31356	31222	-134.36	-0.94
4.9000e+06	31904	31779	-125.23	-0.87
5.0000e+06	32463	32334	-128.59	-0.89
5.2000e+06	33525	33441	-83.57	-0.57
5.4000e+06	34612	34543	-69.05	-0.46
5.6000e+06	35743	35639	-103.79	-0.68
5.8000e+06	36825	36730	-94.55	-0.61
6.0000e+06	37916	37817	-99.14	-0.63
6.2000e+06	39031	38899	-132.35	-0.83
6.4000e+06	40092	39976	-116.02	-0.72
6.6000e+06	41146	41049	-96.98	-0.59
6.8000e+06	42174	42118	-56.08	-0.34
7.0000e+06	43259	43183	-76.16	-0.45
7.2000e+06	44314	44244	-70.10	-0.41
7.4000e+06	45368	45301	-66.77	-0.39
7.6000e+06	46462	46355	-107.04	-0.62
7.8000e+06	47548	47405	-142.81	-0.81
8.0000e+06	48618	48452	-165.97	-0.93
8.2000e+06	49652	49496	-156.41	-0.87
8.4000e+06	50698	50536	-162.05	-0.89
8.6000e+06	51773	51573	-199.79	-1.09
8.8000e+06	52834	52607	-226.55	-1.22
9.0000e+06	53867	53639	-228.25	-1.22
9.2000e+06	54878	54667	-210.80	-1.11
9.4000e+06	55914	55693	-221.14	-1.16
9.6000e+06	56932	56716	-216.20	-1.12
9.8000e+06	58016	57736	-279.90	-1.44
1.0000e+07	58980	58754	-226.18	-1.15
1.0500e+07	61540	61287	-252.81	-1.26
1.1000e+07	64040	63806	-234.32	-1.15
1.1500e+07	66528	66310	-217.92	-1.04
1.2000e+07	69011	68801	-209.88	-0.99
1.2500e+07	71491	71279	-211.55	-0.98
1.3000e+07	73897	73746	-151.32	-0.69
1.3500e+07	76353	76200	-152.66	-0.68
1.4000e+07	78784	78644	-140.04	-0.62
1.4500e+07	81238	81077	-161.02	-0.70
1.5000e+07	83660	83500	-160.15	-0.68
1.5500e+07	86106	85913	-193.04	-0.81
1.6000e+07	88534	88317	-217.31	-0.90
1.6500e+07	90907	90711	-195.63	-0.80
1.7000e+07	93302	93097	-204.66	-0.83
1.7500e+07	95681	95475	-206.11	-0.82
1.8000e+07	98106	97844	-261.70	-1.03
1.8500e+07	100408	100206	-202.15	-0.79
1.9000e+07	102808	102560	-248.22	-0.95
1.9500e+07	105145	104906	-238.67	-0.91
2.0000e+07	107407	107246	-161.28	-0.61
2.1000e+07	112103	111904	-199.15	-0.73
2.2000e+07	116685	116536	-149.27	-0.54
2.3000e+07	121301	121143	-158.23	-0.56
2.4000e+07	125919	125726	-192.78	-0.67
2.5000e+07	130512	130287	-224.76	-0.77
2.6000e+07	135050	134827	-223.11	-0.75
2.7000e+07	139526	139346	-179.88	-0.59
2.8000e+07	143978	143846	-132.17	-0.43
2.9000e+07	148454	148327	-127.17	-0.41
3.0000e+07	152891	152790	-101.12	-0.32
3.1000e+07	157355	157236	-119.33	-0.37
3.2000e+07	161810	161665	-145.14	-0.44
3.3000e+07	166157	166078	-78.93	-0.24
3.4000e+07	170577	170476	-101.16	-0.30
3.5000e+07	174945	174859	-86.28	-0.25
3.6000e+07	179257	179227	-29.79	-0.09
3.7000e+07	183728	183582	-146.24	-0.42
3.8000e+07	188065	187923	-142.17	-0.40
3.9000e+07	192408	192251	-157.18	-0.44
4.0000e+07	196753	196566	-186.86	-0.52
4.1000e+07	201056	200869	-186.86	-0.51
4.2000e+07	205266	205160	-105.81	-0.29
4.3000e+07	209502	209440	-62.40	-0.17
4.4000e+07	213732	213708	-24.29	-0.06
4.5000e+07	217981	217965	-16.19	-0.04
4.6000e+07	222239	222211	-27.82	-0.07
4.7000e+07	226474	226447	-26.90	-0.07
4.8000e+07	230667	230673	5.83	0.01
4.9000e+07	234864	234889	24.62	0.06
5.0000e+07	239101	239095	-6.31	-0.02
5.2000e+07	247305	247479	173.63	0.43
5.4000e+07	255705	255826	121.33	0.29
5.6000e+07	264005	264139	134.36	0.32
5.8000e+07	272333	272419	86.17	0.20
6.0000e+07	280558	280667	109.09	0.25
6.2000e+07	288778	288884	106.36	0.24
6.4000e+07	296908	297072	164.13	0.37
6.6000e+07	304999	305231	232.47	0.52
6.8000e+07	313233	313363	130.39	0.29
7.0000e+07	321466	321469	2.83	0.01
7.2000e+07	329353	329549	195.66	0.42
7.4000e+07	337525	337604	78.72	0.17
7.6000e+07	345544	345635	90.77	0.19
7.8000e+07	353556	353643	86.57	0.18
8.0000e+07	361450	361628	177.80	0.36
8.2000e+07	369438	369591	153.11	0.31
8.4000e+07	377370	377533	163.13	0.32
8.6000e+07	385281	385454	173.45	0.34
8.8000e+07	393227	393356	128.63	0.25
9.0000e+07	401090	401237	147.20	0.28
9.2000e+07	408998	409100	101.66	0.19
9.4000e+07	416834	416944	109.50	0.21
9.6000e+07	424656	424769	113.18	0.21
9.8000e+07	432433	432577	144.14	0.27
1.0000e+08	440312	440368	55.79	0.10
1.0500e+08	459755	459771	16.33	0.03
1.1000e+08	479129	479075	-53.97	-0.10
1.1500e+08	498272	498284	12.15	0.02
1.2000e+08	517360	517403	43.45	0.07
1.2500e+08	536320	536437	117.26	0.20
1.3000e+08	555376	555390	13.56	0.02
1.3500e+08	574232	574264	31.96	0.05
1.4000e+08	593174	593064	-110.20	-0.17
1.4500e+08	611853	611792	-60.82	-0.09
1.5000e+08	630392	630452	59.93	0.09
1.5500e+08	648835	649046	210.71	0.32
1.6000e+08	667529	667576	46.98	0.07
1.6500e+08	685693	686045	352.03	0.52
1.7000e+08	704104	704455	351.00	0.51
1.7500e+08	722333	722808	474.92	0.68
1.8000e+08	740685	741106	420.65	0.60
1.8500e+08	758775	759350	574.97	0.80
1.9000e+08	777052	777543	490.56	0.68
1.9500e+08	795167	795685	517.98	0.71
2.0000e+08	813371	813779	407.71	0.55
2.1000e+08	849331	849826	494.69	0.65
2.2000e+08	884979	885694	714.89	0.93
2.3000e+08	920557	921393	835.66	1.06
2.4000e+08	956210	956931	720.52	0.90
2.5000e+08	991446	992315	869.18	1.06
2.6000e+08	1026583	1027554	970.71	1.17
2.7000e+08	1061743	1062653	909.58	1.07
2.8000e+08	1096722	1097618	895.75	1.04
2.9000e+08	1131791	1132455	663.72	0.76
3.0000e+08	1166480	1167169	688.58	0.78
3.1000e+08	1201177	1201764	587.05	0.65
3.2000e+08	1235712	1236246	533.54	0.58
3.3000e+08	1270140	1270617	477.14	0.52
3.4000e+08	1304395	1304883	487.68	0.52
3.5000e+08	1338542	1339046	503.75	0.53
3.6000e+08	1372352	1373110	757.72	0.79
3.7000e+08	1406264	1407078	813.76	0.83
3.8000e+08	1440182	1440953	770.84	0.78
3.9000e+08	1474067	1474738	670.79	0.67
4.0000e+08	1507733	1508435	702.25	0.70
4.1000e+08	1541276	1542048	771.75	0.76
4.2000e+08	1574914	1575578	663.66	0.64
4.3000e+08	1608322	1609027	705.25	0.68
4.4000e+08	1641886	1642399	512.66	0.49
4.5000e+08	1675221	1675694	472.93	0.44
4.6000e+08	1708469	1708915	446.00	0.41
4.7000e+08	1741415	1742064	648.74	0.60
4.8000e+08	1774572	1775142	569.91	0.52
4.9000e+08	1807357	1808151	794.19	0.72
5.0000e+08	1840170	1841093	923.20	0.83
5.2000e+08	1905751	1906782	1030.54	0.91
5.4000e+08	1971327	1972219	891.51	0.77
5.6000e+08	2036570	2037415	844.79	0.72
5.8000e+08	2101553	2102380	827.24	0.69
6.0000e+08	2166301	2167124	822.99	0.68
6.2000e+08	2231005	2231654	649.49	0.53
6.4000e+08	2295290	2295980	689.65	0.55
6.6000e+08	2359266	2360107	840.80	0.66
6.8000e+08	2423168	2424043	874.82	0.68
7.0000e+08	2486868	2487794	926.16	0.71
7.2000e+08	2550660	2551367	706.85	0.54
7.4000e+08	2614093	2614767	673.58	0.51
7.6000e+08	2677212	2677999	786.70	0.58
7.8000e+08	2740090	2741068	978.26	0.72
8.0000e+08	2802751	2803980	1229.03	0.89
8.2000e+08	2865369	2866739	1369.53	0.98
8.4000e+08	2928115	2929348	1233.03	0.87
8.6000e+08	2990443	2991813	1369.60	0.96
8.8000e+08	3052924	3054136	1212.09	0.84
9.0000e+08	3115262	3116322	1060.16	0.73
9.2000e+08	3177501	3178374	873.32	0.59
9.4000e+08	3239451	3240296	844.89	0.57
9.6000e+08	3301361	3302090	729.06	0.49
9.8000e+08	3362942	3363760	817.84	0.54
1.0000e+09	3424506	3425308	802.16	0.53
1.0500e+09	3577758	3578665	907.44	0.58
1.1000e+09	3730451	3731321	869.91	0.55
1.1500e+09	3882386	3883311	924.97	0.57
1.2000e+09	4033838	4034669	830.63	0.50
1.2500e+09	4184625	4185424	798.96	0.47
1.3000e+09	4334388	4335604	1216.44	0.71
1.3500e+09	4483909	4485235	1326.29	0.76
1.4000e+09	4632699	4634340	1640.72	0.92
1.4500e+09	4781577	4782939	1362.16	0.75
1.5000e+09	4929508	4931053	1545.48	0.84
1.5500e+09	5076686	5078701	2015.09	1.08
1.6000e+09	5223982	5225899	1917.16	1.02
1.6500e+09	5370271	5372664	2392.70	1.25
1.7000e+09	5516430	5519010	2579.67	1.33
1.7500e+09	5662632	5664951	2319.10	1.18
1.8000e+09	5808585	5810501	1916.16	0.96
1.8500e+09	5954463	5955672	1209.22	0.60
1.9000e+09	6099613	6100476	862.95	0.42
1.9500e+09	6244256	6244923	667.36	0.32
2.0000e+09	6388041	6389025	983.86	0.47
2.1000e+09	6674812	6676229	1416.95	0.66
2.2000e+09	6960677	6962161	1484.04	0.68
2.3000e+09	7245806	7246887	1080.86	0.49
2.4000e+09	7528643	7530466	1823.02	0.80
2.5000e+09	7810997	7812953	1955.82	0.85
2.6000e+09	8092871	8094397	1525.90	0.65
2.7000e+09	8373302	8374844	1541.82	0.64
2.8000e+09	8652758	8654336	1577.53	0.65
2.9000e+09	8932233	8932911	677.79	0.27
3.0000e+09	9210144	9210605	461.46	0.18
3.1000e+09	9487353	9487453	99.89	0.04
3.2000e+09	9762902	9763484	582.10	0.23
3.3000e+09	10038577	10038728	151.04	0.06
3.4000e+09	10313157	10313212	54.79	0.02
3.5000e+09	10586929	10586961	31.72	0.01
3.6000e+09	10859464	10859999	534.66	0.20
3.7000e+09	11131895	11132348	453.00	0.16
3.8000e+09	11403183	11404030	846.88	0.30
3.9000e+09	11674153	11675064	911.20	0.32
4.0000e+09	11944438	11945470	1031.80	0.36
4.1000e+09	12214163	12215265	1101.51	0.38
4.2000e+09	12484112	12484465	353.23	0.12
4.3000e+09	12752991	12753088	96.98	0.03
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4.5000e+09	13288127	13288660	532.82	0.18
4.6000e+09	13555113	13555637	524.21	0.17
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4.8000e+09	14087306	14088041	734.82	0.24
4.9000e+09	14353023	14353492	468.61	0.15
5.0000e+09	14618166	14618457	291.22	0.09
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3.6000e+10	88056138	88058905	2766.79	0.35
3.7000e+10	90288645	90291109	2463.70	0.31
3.8000e+10	92515564	92518359	2795.00	0.35
3.9000e+10	94737492	94740802	3309.91	0.41
4.0000e+10	96956707	96958576	1868.68	0.23
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4.2000e+10	101378655	101380633	1977.65	0.24
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4.4000e+10	105785108	105785499	390.75	0.05
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4.8000e+10	114544059	114547079	3019.82	0.34
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5.8000e+10	136201562	136202755	1193.02	0.12
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7.4000e+10	170246977	170247274	297.42	0.03
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