Actual and conjectured gap count

Gap size : 18 (r=9)

Generated by program gapCounts : Wed Jul 16 14:51:09 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	0	0	0.07	0.03
2.0000e+02	0	0	0.01	0.00
3.0000e+02	0	0	0.06	0.02
4.0000e+02	0	0	0.18	0.05
5.0000e+02	0	0	0.35	0.10
6.0000e+02	1	1	-0.44	-0.11
7.0000e+02	1	1	-0.19	-0.05
8.0000e+02	1	1	0.08	0.02
9.0000e+02	1	1	0.37	0.08
1.0000e+03	1	2	0.68	0.15
1.1000e+03	2	2	0.00	0.00
1.2000e+03	2	2	0.34	0.07
1.3000e+03	3	3	-0.31	-0.06
1.4000e+03	4	3	-0.95	-0.18
1.5000e+03	4	3	-0.58	-0.11
1.6000e+03	4	4	-0.20	-0.04
1.7000e+03	4	4	0.18	0.03
1.8000e+03	5	5	-0.43	-0.08
1.9000e+03	5	5	-0.03	-0.01
2.0000e+03	6	5	-0.63	-0.11
2.1000e+03	6	6	-0.22	-0.04
2.2000e+03	7	6	-0.80	-0.13
2.3000e+03	7	7	-0.38	-0.06
2.4000e+03	7	7	0.04	0.01
2.5000e+03	7	7	0.46	0.07
2.6000e+03	8	8	-0.11	-0.02
2.7000e+03	8	8	0.33	0.05
2.8000e+03	8	9	0.77	0.11
2.9000e+03	9	9	0.21	0.03
3.0000e+03	9	10	0.65	0.09
3.1000e+03	9	10	1.09	0.16
3.2000e+03	9	11	1.54	0.22
3.3000e+03	9	11	1.99	0.28
3.4000e+03	9	11	2.45	0.34
3.5000e+03	9	12	2.90	0.40
3.6000e+03	9	12	3.36	0.46
3.7000e+03	9	13	3.82	0.52
3.8000e+03	9	13	4.28	0.57
3.9000e+03	10	14	3.74	0.50
4.0000e+03	11	14	3.21	0.42
4.1000e+03	11	15	3.67	0.48
4.2000e+03	12	15	3.14	0.40
4.3000e+03	12	16	3.61	0.46
4.4000e+03	13	16	3.08	0.39
4.5000e+03	15	17	1.55	0.19
4.6000e+03	15	17	2.03	0.25
4.7000e+03	16	18	1.50	0.19
4.8000e+03	18	18	-0.02	-0.00
4.9000e+03	18	18	0.46	0.06
5.0000e+03	18	19	0.94	0.11
5.2000e+03	19	20	0.90	0.11
5.4000e+03	20	21	0.86	0.10
5.6000e+03	21	22	0.83	0.10
5.8000e+03	21	23	1.81	0.21
6.0000e+03	21	24	2.78	0.31
6.2000e+03	22	25	2.76	0.31
6.4000e+03	23	26	2.75	0.30
6.6000e+03	26	27	0.73	0.08
6.8000e+03	27	28	0.72	0.08
7.0000e+03	27	29	1.71	0.18
7.2000e+03	28	30	1.71	0.18
7.4000e+03	29	31	1.70	0.18
7.6000e+03	32	32	-0.30	-0.03
7.8000e+03	33	33	-0.30	-0.03
8.0000e+03	34	34	-0.30	-0.03
8.2000e+03	34	35	0.71	0.07
8.4000e+03	35	36	0.71	0.07
8.6000e+03	35	37	1.72	0.17
8.8000e+03	36	38	1.73	0.17
9.0000e+03	36	39	2.74	0.26
9.2000e+03	37	40	2.76	0.26
9.4000e+03	38	41	2.77	0.26
9.6000e+03	38	42	3.79	0.35
9.8000e+03	39	43	3.80	0.35
1.0000e+04	40	44	3.82	0.35
1.0500e+04	41	46	5.37	0.49
1.1000e+04	43	49	5.93	0.53
1.1500e+04	44	51	7.49	0.65
1.2000e+04	44	54	10.06	0.86
1.2500e+04	44	57	12.64	1.07
1.3000e+04	49	59	10.22	0.85
1.3500e+04	50	62	11.80	0.97
1.4000e+04	53	64	11.39	0.92
1.4500e+04	58	67	8.98	0.71
1.5000e+04	58	70	11.58	0.91
1.5500e+04	61	72	11.18	0.87
1.6000e+04	64	75	10.78	0.82
1.6500e+04	66	77	11.38	0.86
1.7000e+04	69	80	10.99	0.82
1.7500e+04	74	83	8.60	0.64
1.8000e+04	77	85	8.21	0.60
1.8500e+04	80	88	7.82	0.57
1.9000e+04	80	90	10.44	0.75
1.9500e+04	84	93	9.06	0.64
2.0000e+04	84	96	11.67	0.82
2.1000e+04	93	101	7.91	0.54
2.2000e+04	102	106	4.16	0.28
2.3000e+04	110	111	1.41	0.09
2.4000e+04	115	117	1.67	0.11
2.5000e+04	121	122	0.92	0.06
2.6000e+04	128	127	-0.82	-0.05
2.7000e+04	135	132	-2.55	-0.16
2.8000e+04	139	138	-1.29	-0.08
2.9000e+04	146	143	-3.02	-0.18
3.0000e+04	151	148	-2.75	-0.16
3.1000e+04	159	154	-5.48	-0.32
3.2000e+04	163	159	-4.21	-0.24
3.3000e+04	166	164	-1.94	-0.11
3.4000e+04	174	169	-4.67	-0.26
3.5000e+04	183	175	-8.40	-0.47
3.6000e+04	187	180	-7.13	-0.39
3.7000e+04	192	185	-6.85	-0.37
3.8000e+04	198	190	-7.58	-0.41
3.9000e+04	204	196	-8.31	-0.44
4.0000e+04	209	201	-8.04	-0.43
4.1000e+04	213	206	-6.77	-0.35
4.2000e+04	216	212	-4.50	-0.23
4.3000e+04	220	217	-3.23	-0.17
4.4000e+04	225	222	-2.96	-0.15
4.5000e+04	227	227	0.31	0.02
4.6000e+04	234	233	-1.42	-0.07
4.7000e+04	240	238	-2.15	-0.11
4.8000e+04	248	243	-4.89	-0.24
4.9000e+04	256	248	-7.62	-0.37
5.0000e+04	261	254	-7.35	-0.36
5.2000e+04	272	264	-7.83	-0.37
5.4000e+04	288	275	-13.30	-0.62
5.6000e+04	302	285	-16.79	-0.78
5.8000e+04	312	296	-16.27	-0.74
6.0000e+04	322	306	-15.76	-0.71
6.2000e+04	329	317	-12.26	-0.54
6.4000e+04	346	327	-18.76	-0.82
6.6000e+04	361	338	-23.27	-1.00
6.8000e+04	367	348	-18.78	-0.80
7.0000e+04	378	359	-19.29	-0.81
7.2000e+04	385	369	-15.81	-0.66
7.4000e+04	391	380	-11.34	-0.47
7.6000e+04	399	390	-8.87	-0.36
7.8000e+04	413	401	-12.41	-0.50
8.0000e+04	423	411	-11.95	-0.48
8.2000e+04	432	422	-10.50	-0.41
8.4000e+04	439	432	-7.05	-0.28
8.6000e+04	449	442	-6.61	-0.26
8.8000e+04	458	453	-5.17	-0.20
9.0000e+04	466	463	-2.74	-0.10
9.2000e+04	476	474	-2.32	-0.09
9.4000e+04	485	484	-0.90	-0.03
9.6000e+04	492	495	2.52	0.09
9.8000e+04	502	505	2.93	0.11
1.0000e+05	514	515	1.33	0.05
1.0500e+05	539	541	2.32	0.08
1.1000e+05	569	567	-1.72	-0.06
1.1500e+05	594	593	-0.79	-0.03
1.2000e+05	616	619	3.10	0.10
1.2500e+05	646	645	-1.03	-0.03
1.3000e+05	668	671	2.80	0.09
1.3500e+05	692	697	4.61	0.15
1.4000e+05	720	722	2.39	0.08
1.4500e+05	748	748	0.14	0.00
1.5000e+05	785	774	-11.14	-0.34
1.5500e+05	807	800	-7.45	-0.23
1.6000e+05	838	825	-12.78	-0.38
1.6500e+05	861	851	-10.14	-0.30
1.7000e+05	889	876	-12.52	-0.37
1.7500e+05	912	902	-9.93	-0.29
1.8000e+05	939	928	-11.37	-0.32
1.8500e+05	968	953	-14.83	-0.42
1.9000e+05	990	979	-11.31	-0.32
1.9500e+05	1012	1004	-7.82	-0.22
2.0000e+05	1035	1030	-5.35	-0.15
2.1000e+05	1083	1081	-2.48	-0.07
2.2000e+05	1132	1131	-0.70	-0.02
2.3000e+05	1174	1182	8.00	0.21
2.4000e+05	1221	1233	11.61	0.29
2.5000e+05	1265	1283	18.15	0.45
2.6000e+05	1316	1334	17.60	0.43
2.7000e+05	1358	1384	25.98	0.63
2.8000e+05	1411	1434	23.28	0.55
2.9000e+05	1463	1485	21.52	0.50
3.0000e+05	1508	1535	26.68	0.61
3.1000e+05	1562	1585	22.77	0.52
3.2000e+05	1602	1635	32.80	0.73
3.3000e+05	1654	1685	30.76	0.68
3.4000e+05	1710	1735	24.66	0.54
3.5000e+05	1759	1784	25.50	0.55
3.6000e+05	1812	1834	22.27	0.47
3.7000e+05	1859	1884	24.99	0.53
3.8000e+05	1907	1934	26.65	0.56
3.9000e+05	1953	1983	30.25	0.62
4.0000e+05	2011	2033	21.80	0.44
4.1000e+05	2060	2082	22.29	0.45
4.2000e+05	2111	2132	20.73	0.41
4.3000e+05	2170	2181	11.12	0.22
4.4000e+05	2220	2230	10.45	0.20
4.5000e+05	2274	2280	5.74	0.11
4.6000e+05	2317	2329	11.98	0.23
4.7000e+05	2377	2378	1.16	0.02
4.8000e+05	2429	2427	-1.70	-0.03
4.9000e+05	2474	2476	2.40	0.04
5.0000e+05	2512	2525	13.45	0.25
5.2000e+05	2613	2623	10.41	0.19
5.4000e+05	2710	2721	11.20	0.20
5.6000e+05	2823	2819	-4.18	-0.07
5.8000e+05	2921	2916	-4.73	-0.08
6.0000e+05	3019	3014	-5.43	-0.09
6.2000e+05	3107	3111	3.72	0.06
6.4000e+05	3189	3208	18.71	0.31
6.6000e+05	3298	3305	6.56	0.11
6.8000e+05	3390	3401	11.27	0.18
7.0000e+05	3487	3498	10.84	0.17
7.2000e+05	3578	3594	16.27	0.26
7.4000e+05	3656	3691	34.58	0.54
7.6000e+05	3758	3787	28.76	0.45
7.8000e+05	3849	3883	33.81	0.52
8.0000e+05	3948	3979	30.74	0.47
8.2000e+05	4051	4075	23.56	0.35
8.4000e+05	4153	4170	17.25	0.26
8.6000e+05	4246	4266	19.84	0.29
8.8000e+05	4364	4361	-2.69	-0.04
9.0000e+05	4453	4457	3.67	0.05
9.2000e+05	4543	4552	8.93	0.13
9.4000e+05	4640	4647	7.08	0.10
9.6000e+05	4743	4742	-0.87	-0.01
9.8000e+05	4818	4837	19.08	0.27
1.0000e+06	4909	4932	22.93	0.32
1.0500e+06	5145	5169	23.64	0.32
1.1000e+06	5396	5405	8.76	0.12
1.1500e+06	5619	5640	21.34	0.28
1.2000e+06	5839	5875	36.38	0.46
1.2500e+06	6069	6110	40.91	0.51
1.3000e+06	6305	6344	38.96	0.48
1.3500e+06	6555	6578	22.53	0.27
1.4000e+06	6799	6811	11.64	0.14
1.4500e+06	7041	7043	2.31	0.03
1.5000e+06	7250	7276	25.56	0.30
1.5500e+06	7476	7507	31.39	0.36
1.6000e+06	7697	7739	41.83	0.47
1.6500e+06	7930	7970	39.88	0.44
1.7000e+06	8157	8201	43.55	0.48
1.7500e+06	8372	8431	58.85	0.64
1.8000e+06	8624	8661	36.80	0.40
1.8500e+06	8854	8890	36.40	0.39
1.9000e+06	9088	9120	31.67	0.33
1.9500e+06	9324	9349	24.61	0.26
2.0000e+06	9559	9577	18.22	0.19
2.1000e+06	10031	10034	2.53	0.03
2.2000e+06	10478	10489	10.64	0.10
2.3000e+06	10918	10943	24.61	0.24
2.4000e+06	11373	11395	22.50	0.21
2.5000e+06	11836	11847	11.33	0.11
2.6000e+06	12292	12298	6.17	0.06
2.7000e+06	12735	12748	13.04	0.12
2.8000e+06	13164	13197	32.97	0.29
2.9000e+06	13636	13645	9.01	0.08
3.0000e+06	14088	14092	4.18	0.04
3.1000e+06	14540	14539	-1.49	-0.01
3.2000e+06	14963	14984	21.03	0.18
3.3000e+06	15415	15429	13.77	0.11
3.4000e+06	15882	15873	-9.26	-0.08
3.5000e+06	16330	16316	-14.03	-0.11
3.6000e+06	16762	16758	-3.52	-0.03
3.7000e+06	17197	17200	3.29	0.03
3.8000e+06	17651	17641	-9.57	-0.07
3.9000e+06	18063	18082	18.90	0.15
4.0000e+06	18471	18522	50.72	0.39
4.1000e+06	18915	18961	45.91	0.35
4.2000e+06	19342	19399	57.50	0.43
4.3000e+06	19740	19837	97.48	0.72
4.4000e+06	20167	20275	107.87	0.79
4.5000e+06	20617	20712	94.70	0.68
4.6000e+06	21071	21148	76.97	0.55
4.7000e+06	21483	21584	100.69	0.71
4.8000e+06	21925	22019	93.87	0.66
4.9000e+06	22399	22454	54.53	0.38
5.0000e+06	22842	22888	45.68	0.32
5.2000e+06	23702	23754	52.48	0.36
5.4000e+06	24554	24619	65.35	0.44
5.6000e+06	25398	25482	84.35	0.55
5.8000e+06	26267	26344	76.57	0.50
6.0000e+06	27089	27203	114.05	0.73
6.2000e+06	27937	28061	123.87	0.78
6.4000e+06	28808	28917	109.07	0.68
6.6000e+06	29658	29772	113.70	0.69
6.8000e+06	30464	30625	160.82	0.97
7.0000e+06	31339	31476	137.46	0.82
7.2000e+06	32151	32327	175.68	1.03
7.4000e+06	33007	33176	168.51	0.98
7.6000e+06	33843	34023	179.99	1.03
7.8000e+06	34696	34869	173.16	0.98
8.0000e+06	35577	35714	137.05	0.77
8.2000e+06	36373	36558	184.70	1.03
8.4000e+06	37209	37400	191.12	1.05
8.6000e+06	38037	38241	204.37	1.11
8.8000e+06	38910	39081	171.46	0.92
9.0000e+06	39706	39920	214.42	1.14
9.2000e+06	40572	40758	186.27	0.98
9.4000e+06	41375	41595	220.04	1.15
9.6000e+06	42210	42431	220.76	1.15
9.8000e+06	43058	43265	207.45	1.07
1.0000e+07	43851	44099	248.12	1.26
1.0500e+07	45972	46179	207.02	1.03
1.1000e+07	48002	48253	251.03	1.23
1.1500e+07	50088	50321	233.42	1.12
1.2000e+07	52141	52384	243.45	1.15
1.2500e+07	54181	54442	261.35	1.21
1.3000e+07	56241	56495	254.33	1.16
1.3500e+07	58295	58544	248.59	1.11
1.4000e+07	60390	60587	197.30	0.87
1.4500e+07	62441	62627	185.65	0.80
1.5000e+07	64431	64662	230.77	0.98
1.5500e+07	66513	66693	179.82	0.76
1.6000e+07	68559	68720	160.94	0.67
1.6500e+07	70606	70743	137.24	0.56
1.7000e+07	72598	72763	164.86	0.67
1.7500e+07	74648	74779	130.91	0.52
1.8000e+07	76657	76791	134.48	0.53
1.8500e+07	78711	78801	89.69	0.35
1.9000e+07	80745	80807	61.62	0.24
1.9500e+07	82768	82809	41.37	0.16
2.0000e+07	84782	84809	27.01	0.10
2.1000e+07	88783	88799	16.33	0.06
2.2000e+07	92718	92778	60.16	0.22
2.3000e+07	96780	96746	-33.93	-0.12
2.4000e+07	100694	100704	9.53	0.03
2.5000e+07	104668	104651	-16.99	-0.06
2.6000e+07	108563	108589	25.92	0.09
2.7000e+07	112434	112518	83.65	0.28
2.8000e+07	116370	116438	67.56	0.22
2.9000e+07	120255	120349	93.97	0.30
3.0000e+07	124171	124252	81.19	0.26
3.1000e+07	128070	128148	77.50	0.24
3.2000e+07	131951	132035	84.18	0.26
3.3000e+07	135773	135915	142.48	0.43
3.4000e+07	139671	139789	117.62	0.35
3.5000e+07	143534	143655	120.84	0.35
3.6000e+07	147410	147514	104.33	0.30
3.7000e+07	151343	151367	24.29	0.07
3.8000e+07	155162	155214	51.92	0.15
3.9000e+07	158962	159054	92.37	0.26
4.0000e+07	162828	162889	60.83	0.17
4.1000e+07	166666	166717	51.45	0.14
4.2000e+07	170407	170540	133.38	0.36
4.3000e+07	174329	174358	28.75	0.08
4.4000e+07	178136	178170	33.72	0.09
4.5000e+07	181933	181976	43.39	0.11
4.6000e+07	185720	185778	57.91	0.15
4.7000e+07	189559	189574	15.39	0.04
4.8000e+07	193322	193366	43.94	0.11
4.9000e+07	197091	197153	61.66	0.16
5.0000e+07	200886	200935	48.67	0.12
5.2000e+07	208415	208485	69.93	0.17
5.4000e+07	216112	216017	-94.54	-0.23
5.6000e+07	223607	223533	-74.04	-0.18
5.8000e+07	231139	231032	-106.94	-0.25
6.0000e+07	238576	238515	-60.63	-0.14
6.2000e+07	245911	245983	72.44	0.17
6.4000e+07	253352	253437	84.79	0.19
6.6000e+07	260788	260876	87.91	0.19
6.8000e+07	268212	268301	89.24	0.20
7.0000e+07	275567	275713	146.22	0.32
7.2000e+07	283035	283112	77.26	0.16
7.4000e+07	290305	290499	193.73	0.41
7.6000e+07	297541	297873	331.99	0.69
7.8000e+07	304776	305235	459.38	0.95
8.0000e+07	311815	312586	771.23	1.57
8.2000e+07	319147	319926	778.83	1.57
8.4000e+07	326471	327254	783.49	1.56
8.6000e+07	333770	334572	802.47	1.58
8.8000e+07	341139	341880	741.03	1.45
9.0000e+07	348421	349177	756.44	1.46
9.2000e+07	355721	356465	743.93	1.42
9.4000e+07	362976	363743	766.72	1.45
9.6000e+07	370255	371011	756.04	1.42
9.8000e+07	377570	378270	700.09	1.30
1.0000e+08	384738	385520	782.08	1.44
1.0500e+08	402766	403607	840.64	1.52
1.1000e+08	421019	421641	621.52	1.10
1.1500e+08	438869	439624	755.26	1.31
1.2000e+08	456940	457560	620.18	1.05
1.2500e+08	474899	475450	551.40	0.92
1.3000e+08	492768	493297	528.85	0.87
1.3500e+08	510549	511101	552.33	0.89
1.4000e+08	528303	528865	562.47	0.89
1.4500e+08	546057	546591	533.82	0.83
1.5000e+08	563801	564279	477.80	0.73
1.5500e+08	581404	581931	526.72	0.80
1.6000e+08	599155	599548	392.83	0.59
1.6500e+08	616930	617131	201.28	0.30
1.7000e+08	634584	634682	98.16	0.14
1.7500e+08	652160	652201	41.49	0.06
1.8000e+08	669735	669690	-44.78	-0.06
1.8500e+08	687104	687149	45.26	0.06
1.9000e+08	704579	704579	0.47	0.00
1.9500e+08	722123	721982	-141.35	-0.19
2.0000e+08	739453	739357	-96.44	-0.13
2.1000e+08	773951	774027	76.48	0.10
2.2000e+08	808652	808598	-54.41	-0.07
2.3000e+08	843201	843072	-129.22	-0.16
2.4000e+08	877459	877454	-4.51	-0.01
2.5000e+08	911730	911750	19.79	0.02
2.6000e+08	945863	945961	98.40	0.12
2.7000e+08	980016	980093	76.75	0.09
2.8000e+08	1013858	1014147	289.02	0.34
2.9000e+08	1047810	1048127	317.13	0.36
3.0000e+08	1081879	1082036	156.82	0.18
3.1000e+08	1115431	1115876	444.62	0.49
3.2000e+08	1149064	1149649	584.92	0.64
3.3000e+08	1182798	1183358	559.91	0.60
3.4000e+08	1216508	1217005	496.70	0.53
3.5000e+08	1250054	1250591	537.22	0.56
3.6000e+08	1283512	1284119	607.31	0.63
3.7000e+08	1317071	1317591	519.71	0.53
3.8000e+08	1350330	1351007	677.06	0.69
3.9000e+08	1383906	1384370	463.90	0.46
4.0000e+08	1417335	1417681	345.70	0.34
4.1000e+08	1450531	1450941	409.85	0.40
4.2000e+08	1483792	1484152	359.66	0.35
4.3000e+08	1516860	1517314	454.40	0.44
4.4000e+08	1549972	1550430	458.25	0.43
4.5000e+08	1583106	1583500	394.36	0.37
4.6000e+08	1616263	1616526	262.82	0.24
4.7000e+08	1649449	1649508	58.65	0.05
4.8000e+08	1682415	1682447	31.85	0.03
4.9000e+08	1715327	1715344	17.38	0.02
5.0000e+08	1748160	1748201	41.14	0.04
5.2000e+08	1813303	1813796	492.80	0.43
5.4000e+08	1878687	1879237	550.40	0.48
5.6000e+08	1943878	1944532	654.00	0.56
5.8000e+08	2008969	2009685	716.22	0.60
6.0000e+08	2073692	2074702	1010.27	0.83
6.2000e+08	2138626	2139588	962.00	0.78
6.4000e+08	2203490	2204347	856.95	0.69
6.6000e+08	2268045	2268983	938.36	0.74
6.8000e+08	2332689	2333501	812.19	0.63
7.0000e+08	2397205	2397904	699.19	0.54
7.2000e+08	2461684	2462196	511.86	0.39
7.4000e+08	2525633	2526380	746.51	0.56
7.6000e+08	2589394	2590458	1064.27	0.79
7.8000e+08	2653093	2654435	1342.09	0.98
8.0000e+08	2717028	2718313	1284.77	0.93
8.2000e+08	2780883	2782094	1210.97	0.87
8.4000e+08	2844726	2845781	1055.20	0.75
8.6000e+08	2908061	2909377	1315.86	0.92
8.8000e+08	2971640	2972883	1243.24	0.86
9.0000e+08	3035100	3036302	1202.50	0.83
9.2000e+08	3098335	3099637	1301.72	0.89
9.4000e+08	3161641	3162888	1246.87	0.84
9.6000e+08	3224569	3226058	1488.86	0.99
9.8000e+08	3287913	3289148	1235.50	0.82
1.0000e+09	3351032	3352162	1129.51	0.74
1.0500e+09	3508382	3509365	983.20	0.63
1.1000e+09	3665411	3666118	707.20	0.44
1.1500e+09	3821736	3822442	706.46	0.43
1.2000e+09	3977919	3978358	438.94	0.26
1.2500e+09	4133281	4133883	601.90	0.36
1.3000e+09	4288391	4289034	643.08	0.37
1.3500e+09	4442993	4443827	833.88	0.48
1.4000e+09	4597428	4598276	847.55	0.48
1.4500e+09	4751368	4752393	1025.24	0.57
1.5000e+09	4904656	4906192	1536.21	0.84
1.5500e+09	5057837	5059684	1846.83	0.99
1.6000e+09	5211135	5212879	1743.74	0.92
1.6500e+09	5363506	5365787	2280.88	1.19
1.7000e+09	5516410	5518418	2007.58	1.03
1.7500e+09	5669272	5670780	1507.58	0.77
1.8000e+09	5821897	5822881	984.13	0.49
1.8500e+09	5973629	5974730	1100.97	0.55
1.9000e+09	6125021	6126333	1312.44	0.64
1.9500e+09	6276261	6277698	1437.46	0.70
2.0000e+09	6427670	6428832	1161.60	0.56
2.1000e+09	6729432	6730427	994.79	0.47
2.2000e+09	7030389	7031165	776.12	0.36
2.3000e+09	7330664	7331088	424.38	0.19
2.4000e+09	7629671	7630235	563.60	0.25
2.5000e+09	7928011	7928639	627.51	0.27
2.6000e+09	8225826	8226332	505.98	0.22
2.7000e+09	8523031	8523344	313.33	0.13
2.8000e+09	8819330	8819703	372.63	0.15
2.9000e+09	9114717	9115432	714.96	0.29
3.0000e+09	9409546	9410556	1009.59	0.40
3.1000e+09	9704504	9705095	591.21	0.23
3.2000e+09	9998731	9999071	340.03	0.13
3.3000e+09	10292460	10292502	41.97	0.02
3.4000e+09	10585180	10585406	225.76	0.08
3.5000e+09	10877628	10877799	171.04	0.06
3.6000e+09	11170067	11169697	-369.53	-0.14
3.7000e+09	11461972	11461116	-856.17	-0.31
3.8000e+09	11753251	11752068	-1182.97	-0.42
3.9000e+09	12043342	12042567	-774.74	-0.27
4.0000e+09	12333336	12332626	-710.02	-0.25
4.1000e+09	12622720	12622256	-463.97	-0.16
4.2000e+09	12911689	12911469	-220.36	-0.08
4.3000e+09	13200720	13200274	-445.53	-0.15
4.4000e+09	13488571	13488684	112.70	0.04
4.5000e+09	13776846	13776706	-139.99	-0.05
4.6000e+09	14063927	14064351	423.62	0.14
4.7000e+09	14351680	14351626	-53.64	-0.02
4.8000e+09	14638691	14638542	-149.33	-0.05
4.9000e+09	14926437	14925105	-1332.40	-0.42
5.0000e+09	15212024	15211323	-701.11	-0.22
5.2000e+09	15783655	15782755	-900.14	-0.28
5.4000e+09	16353521	16352893	-627.69	-0.19
5.6000e+09	16922336	16921790	-546.30	-0.16
5.8000e+09	17489063	17489492	428.67	0.13
6.0000e+09	18054496	18056043	1547.48	0.45
6.2000e+09	18619571	18621486	1915.31	0.55
6.4000e+09	19184484	19185859	1374.60	0.39
6.6000e+09	19747487	19749196	1709.27	0.48
6.8000e+09	20310085	20311533	1448.03	0.40
7.0000e+09	20871382	20872900	1518.49	0.41
7.2000e+09	21432148	21433328	1180.42	0.32
7.4000e+09	21991169	21992845	1675.86	0.44
7.6000e+09	22548274	22551476	3202.29	0.84
7.8000e+09	23105617	23109248	3630.72	0.94
8.0000e+09	23662167	23666183	4015.86	1.02
8.2000e+09	24218032	24222304	4272.17	1.08
8.4000e+09	24772970	24777633	4662.99	1.16
8.6000e+09	25327277	25332190	4912.60	1.21
8.8000e+09	25880329	25885993	5664.29	1.38
9.0000e+09	26432770	26439062	6292.46	1.52
9.2000e+09	26985705	26991415	5709.65	1.37
9.4000e+09	27538203	27543067	4863.62	1.15
9.6000e+09	28089188	28094034	4846.38	1.14
9.8000e+09	28640146	28644333	4187.25	0.97
1.0000e+10	29189691	29193978	4286.90	0.99
1.0500e+10	30561852	30565318	3466.24	0.78
1.1000e+10	31930390	31932861	2470.86	0.54
1.1500e+10	33294884	33296791	1907.27	0.41
1.2000e+10	34656033	34657278	1245.24	0.26
1.2500e+10	36013985	36014476	490.94	0.10
1.3000e+10	37368445	37368526	80.77	0.02
1.3500e+10	38719109	38719558	448.85	0.09
1.4000e+10	40067314	40067692	378.30	0.07
1.4500e+10	41410502	41413040	2538.35	0.49
1.5000e+10	42754007	42755705	1698.26	0.32
1.5500e+10	44095361	44095783	422.16	0.08
1.6000e+10	45431498	45433364	1865.76	0.35
1.6500e+10	46765748	46768531	2782.94	0.51
1.7000e+10	48097880	48101363	3483.31	0.63
1.7500e+10	49429169	49431935	2765.69	0.49
1.8000e+10	50758437	50760315	1877.52	0.33
1.8500e+10	52085036	52086568	1532.25	0.27
1.9000e+10	53409533	53410758	1224.64	0.21
1.9500e+10	54731730	54732941	1211.10	0.21
2.0000e+10	56052905	56053174	268.92	0.05
2.1000e+10	58686860	58687995	1134.69	0.19
2.2000e+10	61315075	61315609	533.69	0.09
2.3000e+10	63936660	63936368	-292.00	-0.05
2.4000e+10	66551907	66550593	-1314.06	-0.20
2.5000e+10	69158761	69158576	-184.85	-0.03
2.6000e+10	71760963	71760586	-377.01	-0.06
2.7000e+10	74359461	74356869	-2591.60	-0.38
2.8000e+10	76949252	76947654	-1597.65	-0.23
2.9000e+10	79534551	79533152	-1399.07	-0.20
3.0000e+10	82115402	82113558	-1843.87	-0.26
3.1000e+10	84690551	84689055	-1495.63	-0.21
3.2000e+10	87260475	87259814	-661.12	-0.09
3.3000e+10	89826514	89825993	-521.14	-0.07
3.4000e+10	92388236	92387741	-494.52	-0.07
3.5000e+10	94946844	94945200	-1644.18	-0.21
3.6000e+10	97500359	97498500	-1859.34	-0.24
3.7000e+10	100048144	100047765	-378.82	-0.05
3.8000e+10	102595289	102593114	-2175.40	-0.27
3.9000e+10	105137348	105134656	-2692.25	-0.33
4.0000e+10	107673974	107672497	-1477.45	-0.18
4.1000e+10	110206805	110206735	-69.52	-0.01
4.2000e+10	112738389	112737467	-922.02	-0.11
4.3000e+10	115265305	115264781	-524.15	-0.06
4.4000e+10	117788518	117788763	244.54	0.03
4.5000e+10	120311036	120309493	-1542.54	-0.18
4.6000e+10	122830029	122827051	-2977.72	-0.34
4.7000e+10	125344358	125341510	-2847.83	-0.32
4.8000e+10	127849943	127852941	2998.02	0.34
4.9000e+10	130357834	130361412	3577.66	0.40
5.0000e+10	132863724	132866987	3263.04	0.36
5.2000e+10	137867256	137869699	2442.52	0.26
5.4000e+10	142859284	142861544	2260.02	0.24
5.6000e+10	147837824	147842956	5132.11	0.54
5.8000e+10	152807658	152814335	6677.30	0.69
6.0000e+10	157765651	157776053	10402.44	1.05
6.2000e+10	162719429	162728457	9027.68	0.90
6.4000e+10	167664030	167671868	7838.01	0.77
6.6000e+10	172595563	172606589	11026.45	1.07
6.8000e+10	177520393	177532904	12511.07	1.20
7.0000e+10	182437689	182451078	13388.63	1.26
7.2000e+10	187345886	187361360	15474.17	1.44
7.4000e+10	192244839	192263987	19148.31	1.76
7.6000e+10	197140264	197159181	18917.44	1.72
7.8000e+10	202027033	202047153	20119.83	1.81
8.0000e+10	206906749	206928101	21351.55	1.90
8.2000e+10	211778601	211802213	23612.36	2.07
8.4000e+10	216650229	216669670	19441.45	1.69
8.6000e+10	221511874	221530642	18768.18	1.61
8.8000e+10	226366874	226385291	18416.67	1.56
9.0000e+10	231214594	231233770	19176.39	1.61
9.2000e+10	236059949	236076229	16279.72	1.35
9.4000e+10	240897138	240912806	15668.36	1.29
9.6000e+10	245728236	245743638	15401.82	1.26
9.8000e+10	250552182	250568852	16669.78	1.35
1.0000e+11	255371697	255388571	16874.49	1.35
1.0500e+11	267395639	267414597	18957.80	1.48
1.1000e+11	279391156	279408728	17572.08	1.35
1.1500e+11	291357964	291372523	14559.10	1.09
1.2000e+11	303290503	303307399	16896.12	1.24
1.2500e+11	315195447	315214651	19203.88	1.39
1.3000e+11	327076793	327095466	18672.69	1.33
1.3500e+11	338927064	338950936	23872.11	1.67
1.4000e+11	350765217	350782071	16853.77	1.16
1.4500e+11	362571499	362589804	18304.57	1.24
1.5000e+11	374355818	374375002	19183.60	1.27
1.5500e+11	386114983	386138472	23488.98	1.54
1.6000e+11	397856757	397880968	24210.83	1.56
1.6500e+11	409576116	409603193	27077.46	1.72
1.7000e+11	421278073	421305809	27735.87	1.74
1.7500e+11	432963196	432989434	26237.82	1.62
1.8000e+11	444624727	444654651	29924.32	1.83
1.8500e+11	456271103	456302011	30907.80	1.86
1.9000e+11	467897963	467932031	34067.86	2.03
1.9500e+11	479511309	479545202	33892.81	2.00
2.0000e+11	491105414	491141988	36573.86	2.13
2.1000e+11	514253610	514288144	34533.60	1.96
2.2000e+11	537340132	537373762	33629.62	1.87
2.3000e+11	560367866	560401798	33931.71	1.85
2.4000e+11	583340383	583374941	34558.10	1.85
2.5000e+11	606259361	606295649	36287.55	1.90
2.6000e+11	629133349	629166173	32824.01	1.69
2.7000e+11	651950786	651988588	37801.66	1.91
2.8000e+11	674723440	674764806	41366.42	2.06
2.9000e+11	697459978	697496601	36623.43	1.79
3.0000e+11	720147827	720185618	37791.06	1.82
3.1000e+11	742790815	742833388	42572.93	2.02
3.2000e+11	765404183	765441340	37157.18	1.74
3.3000e+11	787976015	788010811	34796.30	1.61
3.4000e+11	810503909	810543054	39144.79	1.78
3.5000e+11	833001708	833039244	37535.72	1.69
3.6000e+11	855469239	855500487	31248.49	1.39
3.7000e+11	877895171	877927828	32656.72	1.43
3.8000e+11	900291753	900322249	30495.61	1.32
3.9000e+11	922653569	922684681	31111.62	1.33
4.0000e+11	944983404	945016005	32600.72	1.38
4.1000e+11	967284585	967317056	32471.22	1.36
4.2000e+11	989562717	989588628	25911.15	1.07
4.3000e+11	1011803299	1011831474	28175.37	1.15
4.4000e+11	1034013420	1034046312	32892.40	1.33
4.5000e+11	1056201602	1056233826	32223.92	1.29
4.6000e+11	1078363884	1078394667	30783.09	1.22
4.7000e+11	1100495124	1100529459	34334.67	1.35
4.8000e+11	1122606916	1122638796	31879.95	1.24
4.9000e+11	1144689961	1144723248	33287.46	1.28
5.0000e+11	1166753189	1166783362	30172.67	1.15
5.2000e+11	1210804342	1210832640	28298.12	1.06
5.4000e+11	1254758897	1254790566	31669.10	1.16
5.6000e+11	1298625032	1298660772	35740.17	1.29
5.8000e+11	1342402080	1342446622	44541.83	1.58
6.0000e+11	1386108075	1386151238	43163.05	1.51
6.2000e+11	1429725739	1429777528	51788.91	1.79
6.4000e+11	1473284000	1473328204	44204.02	1.50
6.6000e+11	1516768465	1516805803	37338.19	1.25
6.8000e+11	1560180546	1560212703	32156.79	1.06
7.0000e+11	1603515948	1603551135	35187.21	1.15
7.2000e+11	1646787491	1646823201	35709.55	1.15
7.4000e+11	1689994176	1690030878	36701.94	1.17
7.6000e+11	1733140556	1733176036	35479.57	1.11
7.8000e+11	1776218909	1776260440	41530.69	1.29
8.0000e+11	1819252347	1819285763	33415.64	1.02
8.2000e+11	1862227772	1862253590	25818.02	0.78
8.4000e+11	1905145123	1905165427	20304.27	0.61
8.6000e+11	1947998714	1948022705	23991.47	0.71
8.8000e+11	1990809168	1990826787	17618.71	0.52
9.0000e+11	2033550049	2033578969	28919.85	0.84
9.2000e+11	2076256267	2076280490	24222.95	0.70
9.4000e+11	2118908633	2118932532	23899.28	0.68
9.6000e+11	2161510695	2161536226	25530.92	0.72
9.8000e+11	2204063821	2204092652	28831.12	0.80
1.0000e+12	2246576317	2246602846	26529.38	0.73
1.0500e+12	2352649821	2352682482	32661.24	0.88
1.1000e+12	2458462935	2458493714	30779.30	0.81
1.1500e+12	2564019128	2564049633	30505.10	0.79
1.2000e+12	2669342535	2669362149	19614.02	0.50
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