Actual and conjectured gap count

Gap size : 36 (r=18)

Generated by program gapCounts : Wed Jul 16 16:28:11 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	0.00	0.00
2.0000e+02	0	0	0.00	0.00
3.0000e+02	0	0	0.00	0.00
4.0000e+02	0	0	0.00	0.00
5.0000e+02	0	0	0.00	0.00
6.0000e+02	0	0	0.00	0.00
7.0000e+02	0	0	0.00	0.00
8.0000e+02	0	0	0.00	0.00
9.0000e+02	0	0	0.00	0.00
1.0000e+03	0	0	0.00	0.00
1.1000e+03	0	0	0.00	0.00
1.2000e+03	0	0	0.00	0.00
1.3000e+03	0	0	0.00	0.00
1.4000e+03	0	0	0.00	0.00
1.5000e+03	0	0	0.01	0.00
1.6000e+03	0	0	0.01	0.00
1.7000e+03	0	0	0.01	0.00
1.8000e+03	0	0	0.01	0.00
1.9000e+03	0	0	0.02	0.00
2.0000e+03	0	0	0.02	0.00
2.1000e+03	0	0	0.03	0.00
2.2000e+03	0	0	0.03	0.01
2.3000e+03	0	0	0.04	0.01
2.4000e+03	0	0	0.04	0.01
2.5000e+03	0	0	0.05	0.01
2.6000e+03	0	0	0.05	0.01
2.7000e+03	0	0	0.06	0.01
2.8000e+03	0	0	0.07	0.01
2.9000e+03	0	0	0.08	0.01
3.0000e+03	0	0	0.08	0.01
3.1000e+03	0	0	0.09	0.01
3.2000e+03	0	0	0.10	0.01
3.3000e+03	0	0	0.11	0.02
3.4000e+03	0	0	0.12	0.02
3.5000e+03	0	0	0.13	0.02
3.6000e+03	0	0	0.14	0.02
3.7000e+03	0	0	0.15	0.02
3.8000e+03	0	0	0.16	0.02
3.9000e+03	0	0	0.17	0.02
4.0000e+03	0	0	0.18	0.02
4.1000e+03	0	0	0.19	0.03
4.2000e+03	0	0	0.21	0.03
4.3000e+03	0	0	0.22	0.03
4.4000e+03	0	0	0.23	0.03
4.5000e+03	0	0	0.24	0.03
4.6000e+03	0	0	0.26	0.03
4.7000e+03	0	0	0.27	0.03
4.8000e+03	0	0	0.28	0.03
4.9000e+03	0	0	0.30	0.04
5.0000e+03	0	0	0.31	0.04
5.2000e+03	0	0	0.34	0.04
5.4000e+03	0	0	0.37	0.04
5.6000e+03	0	0	0.41	0.05
5.8000e+03	0	0	0.44	0.05
6.0000e+03	0	0	0.47	0.05
6.2000e+03	0	1	0.51	0.06
6.4000e+03	0	1	0.54	0.06
6.6000e+03	0	1	0.58	0.06
6.8000e+03	0	1	0.62	0.07
7.0000e+03	0	1	0.66	0.07
7.2000e+03	0	1	0.70	0.07
7.4000e+03	0	1	0.74	0.08
7.6000e+03	0	1	0.78	0.08
7.8000e+03	0	1	0.82	0.08
8.0000e+03	0	1	0.86	0.09
8.2000e+03	0	1	0.91	0.09
8.4000e+03	0	1	0.95	0.09
8.6000e+03	0	1	0.99	0.10
8.8000e+03	0	1	1.04	0.10
9.0000e+03	0	1	1.09	0.10
9.2000e+03	0	1	1.13	0.11
9.4000e+03	0	1	1.18	0.11
9.6000e+03	1	1	0.23	0.02
9.8000e+03	1	1	0.28	0.03
1.0000e+04	1	1	0.33	0.03
1.0500e+04	1	1	0.46	0.04
1.1000e+04	1	2	0.59	0.05
1.1500e+04	1	2	0.73	0.06
1.2000e+04	1	2	0.87	0.07
1.2500e+04	1	2	1.01	0.09
1.3000e+04	2	2	0.15	0.01
1.3500e+04	2	2	0.30	0.02
1.4000e+04	2	2	0.46	0.04
1.4500e+04	3	3	-0.39	-0.03
1.5000e+04	3	3	-0.23	-0.02
1.5500e+04	3	3	-0.07	-0.01
1.6000e+04	4	3	-0.91	-0.07
1.6500e+04	4	3	-0.74	-0.06
1.7000e+04	4	3	-0.57	-0.04
1.7500e+04	4	4	-0.40	-0.03
1.8000e+04	4	4	-0.22	-0.02
1.8500e+04	4	4	-0.05	-0.00
1.9000e+04	5	4	-0.87	-0.06
1.9500e+04	5	4	-0.69	-0.05
2.0000e+04	5	4	-0.50	-0.04
2.1000e+04	5	5	-0.13	-0.01
2.2000e+04	5	5	0.25	0.02
2.3000e+04	8	6	-2.36	-0.16
2.4000e+04	8	6	-1.96	-0.13
2.5000e+04	9	6	-2.56	-0.16
2.6000e+04	9	7	-2.15	-0.14
2.7000e+04	9	7	-1.73	-0.11
2.8000e+04	10	8	-2.31	-0.14
2.9000e+04	11	8	-2.88	-0.17
3.0000e+04	12	9	-3.45	-0.21
3.1000e+04	12	9	-3.00	-0.18
3.2000e+04	12	9	-2.56	-0.15
3.3000e+04	13	10	-3.11	-0.18
3.4000e+04	13	10	-2.65	-0.15
3.5000e+04	13	11	-2.19	-0.12
3.6000e+04	13	11	-1.72	-0.10
3.7000e+04	13	12	-1.25	-0.07
3.8000e+04	13	12	-0.77	-0.04
3.9000e+04	13	13	-0.29	-0.02
4.0000e+04	13	13	0.19	0.01
4.1000e+04	14	14	-0.32	-0.02
4.2000e+04	14	14	0.18	0.01
4.3000e+04	15	15	-0.33	-0.02
4.4000e+04	15	15	0.18	0.01
4.5000e+04	15	16	0.68	0.03
4.6000e+04	17	16	-0.81	-0.04
4.7000e+04	19	17	-2.30	-0.11
4.8000e+04	19	17	-1.78	-0.09
4.9000e+04	20	18	-2.26	-0.11
5.0000e+04	20	18	-1.74	-0.08
5.2000e+04	21	19	-1.68	-0.08
5.4000e+04	21	20	-0.62	-0.03
5.6000e+04	21	21	0.46	0.02
5.8000e+04	22	23	0.56	0.03
6.0000e+04	22	24	1.66	0.07
6.2000e+04	24	25	0.77	0.03
6.4000e+04	25	26	0.90	0.04
6.6000e+04	25	27	2.03	0.09
6.8000e+04	27	28	1.18	0.05
7.0000e+04	30	29	-0.67	-0.03
7.2000e+04	31	30	-0.50	-0.02
7.4000e+04	34	32	-2.33	-0.10
7.6000e+04	34	33	-1.15	-0.05
7.8000e+04	35	34	-0.96	-0.04
8.0000e+04	36	35	-0.76	-0.03
8.2000e+04	36	36	0.44	0.02
8.4000e+04	38	38	-0.34	-0.01
8.6000e+04	40	39	-1.12	-0.04
8.8000e+04	40	40	0.10	0.00
9.0000e+04	42	41	-0.66	-0.03
9.2000e+04	45	43	-2.42	-0.09
9.4000e+04	46	44	-2.17	-0.08
9.6000e+04	48	45	-2.91	-0.11
9.8000e+04	52	46	-5.65	-0.21
1.0000e+05	54	48	-6.38	-0.23
1.0500e+05	55	51	-4.19	-0.15
1.1000e+05	57	54	-2.95	-0.10
1.1500e+05	60	57	-2.69	-0.09
1.2000e+05	66	61	-5.39	-0.18
1.2500e+05	68	64	-4.06	-0.13
1.3000e+05	71	67	-3.69	-0.12
1.3500e+05	74	71	-3.30	-0.11
1.4000e+05	76	74	-1.89	-0.06
1.4500e+05	81	78	-3.44	-0.11
1.5000e+05	82	81	-0.98	-0.03
1.5500e+05	85	85	-0.48	-0.01
1.6000e+05	89	88	-0.97	-0.03
1.6500e+05	91	92	0.57	0.02
1.7000e+05	94	95	1.13	0.03
1.7500e+05	99	99	-0.29	-0.01
1.8000e+05	102	102	0.31	0.01
1.8500e+05	105	106	0.93	0.03
1.9000e+05	107	110	2.57	0.07
1.9500e+05	114	113	-0.77	-0.02
2.0000e+05	117	117	-0.09	-0.00
2.1000e+05	121	124	3.31	0.09
2.2000e+05	128	132	3.78	0.10
2.3000e+05	134	139	5.30	0.14
2.4000e+05	143	147	3.89	0.10
2.5000e+05	147	155	7.54	0.19
2.6000e+05	157	162	5.23	0.13
2.7000e+05	163	170	6.98	0.17
2.8000e+05	166	178	11.77	0.28
2.9000e+05	174	186	11.62	0.27
3.0000e+05	184	194	9.50	0.22
3.1000e+05	190	201	11.43	0.26
3.2000e+05	200	209	9.40	0.21
3.3000e+05	206	217	11.41	0.25
3.4000e+05	213	225	12.46	0.27
3.5000e+05	223	234	10.54	0.23
3.6000e+05	228	242	13.66	0.29
3.7000e+05	239	250	10.82	0.23
3.8000e+05	247	258	11.00	0.23
3.9000e+05	253	266	13.22	0.27
4.0000e+05	258	274	16.47	0.34
4.1000e+05	268	283	14.75	0.30
4.2000e+05	274	291	17.06	0.34
4.3000e+05	278	299	21.40	0.42
4.4000e+05	288	308	19.77	0.39
4.5000e+05	296	316	20.16	0.39
4.6000e+05	303	325	21.58	0.41
4.7000e+05	307	333	26.02	0.50
4.8000e+05	316	341	25.49	0.48
4.9000e+05	325	350	24.99	0.47
5.0000e+05	331	359	27.51	0.51
5.2000e+05	352	376	23.61	0.43
5.4000e+05	366	393	26.80	0.48
5.6000e+05	380	410	30.08	0.53
5.8000e+05	393	427	34.43	0.60
6.0000e+05	410	445	34.86	0.60
6.2000e+05	427	462	35.37	0.60
6.4000e+05	445	480	34.95	0.58
6.6000e+05	468	498	29.59	0.49
6.8000e+05	488	515	27.30	0.44
7.0000e+05	504	533	29.08	0.47
7.2000e+05	525	551	25.91	0.41
7.4000e+05	536	569	32.80	0.52
7.6000e+05	546	587	40.76	0.63
7.8000e+05	564	605	40.76	0.63
8.0000e+05	586	623	36.82	0.56
8.2000e+05	604	641	36.93	0.56
8.4000e+05	627	659	32.09	0.48
8.6000e+05	648	677	29.30	0.43
8.8000e+05	667	696	28.56	0.42
9.0000e+05	684	714	29.86	0.43
9.2000e+05	699	732	33.21	0.48
9.4000e+05	709	751	41.60	0.59
9.6000e+05	727	769	42.04	0.59
9.8000e+05	743	788	44.51	0.62
1.0000e+06	767	806	39.03	0.54
1.0500e+06	810	852	42.48	0.57
1.1000e+06	871	899	28.17	0.37
1.1500e+06	915	946	31.07	0.40
1.2000e+06	954	993	39.19	0.50
1.2500e+06	986	1040	54.49	0.68
1.3000e+06	1032	1088	55.98	0.69
1.3500e+06	1077	1136	58.65	0.71
1.4000e+06	1134	1183	49.48	0.59
1.4500e+06	1189	1231	42.48	0.50
1.5000e+06	1231	1280	48.63	0.56
1.5500e+06	1286	1328	41.93	0.48
1.6000e+06	1335	1376	41.36	0.47
1.6500e+06	1384	1425	40.94	0.46
1.7000e+06	1423	1474	50.64	0.56
1.7500e+06	1477	1522	45.47	0.49
1.8000e+06	1520	1571	51.42	0.55
1.8500e+06	1571	1620	49.49	0.53
1.9000e+06	1622	1670	47.67	0.50
1.9500e+06	1673	1719	45.95	0.48
2.0000e+06	1726	1768	42.35	0.43
2.1000e+06	1843	1867	24.44	0.25
2.2000e+06	1934	1967	32.91	0.32
2.3000e+06	2038	2067	28.75	0.28
2.4000e+06	2157	2167	9.93	0.09
2.5000e+06	2277	2267	-9.57	-0.09
2.6000e+06	2385	2368	-16.77	-0.15
2.7000e+06	2495	2469	-25.67	-0.23
2.8000e+06	2596	2571	-25.30	-0.22
2.9000e+06	2680	2672	-7.66	-0.07
3.0000e+06	2765	2774	9.24	0.08
3.1000e+06	2849	2876	27.37	0.23
3.2000e+06	2961	2979	17.74	0.15
3.3000e+06	3060	3081	21.33	0.18
3.4000e+06	3148	3184	36.13	0.29
3.5000e+06	3255	3287	32.14	0.26
3.6000e+06	3355	3390	35.35	0.28
3.7000e+06	3454	3494	39.75	0.31
3.8000e+06	3544	3597	53.33	0.41
3.9000e+06	3643	3701	58.09	0.45
4.0000e+06	3747	3805	58.03	0.44
4.1000e+06	3840	3909	69.12	0.52
4.2000e+06	3930	4013	83.38	0.62
4.3000e+06	4042	4118	75.80	0.56
4.4000e+06	4142	4222	80.37	0.59
4.5000e+06	4242	4327	85.08	0.61
4.6000e+06	4346	4432	85.94	0.61
4.7000e+06	4457	4537	79.93	0.57
4.8000e+06	4541	4642	101.06	0.71
4.9000e+06	4654	4747	93.32	0.65
5.0000e+06	4763	4853	89.71	0.62
5.2000e+06	4989	5064	74.85	0.51
5.4000e+06	5211	5275	64.47	0.43
5.6000e+06	5431	5488	56.53	0.37
5.8000e+06	5641	5700	59.02	0.38
6.0000e+06	5852	5913	60.91	0.39
6.2000e+06	6077	6126	49.20	0.31
6.4000e+06	6287	6340	52.86	0.33
6.6000e+06	6497	6554	56.87	0.35
6.8000e+06	6713	6768	55.23	0.33
7.0000e+06	6933	6983	49.92	0.30
7.2000e+06	7162	7198	35.92	0.21
7.4000e+06	7390	7413	23.23	0.14
7.6000e+06	7600	7629	28.83	0.17
7.8000e+06	7850	7845	-5.28	-0.03
8.0000e+06	8071	8061	-10.12	-0.06
8.2000e+06	8264	8277	13.30	0.07
8.4000e+06	8483	8494	10.98	0.06
8.6000e+06	8679	8711	31.91	0.17
8.8000e+06	8918	8928	10.07	0.05
9.0000e+06	9124	9145	21.47	0.11
9.2000e+06	9362	9363	1.10	0.01
9.4000e+06	9584	9581	-3.06	-0.02
9.6000e+06	9777	9799	22.00	0.11
9.8000e+06	9979	10017	38.26	0.20
1.0000e+07	10194	10236	41.72	0.21
1.0500e+07	10751	10783	31.72	0.16
1.1000e+07	11307	11331	23.87	0.12
1.1500e+07	11880	11880	0.08	0.00
1.2000e+07	12448	12430	-17.69	-0.08
1.2500e+07	12982	12981	-0.52	-0.00
1.3000e+07	13544	13534	-10.45	-0.05
1.3500e+07	14119	14086	-32.53	-0.15
1.4000e+07	14660	14640	-19.79	-0.09
1.4500e+07	15220	15195	-25.30	-0.11
1.5000e+07	15769	15750	-19.07	-0.08
1.5500e+07	16314	16306	-8.14	-0.03
1.6000e+07	16864	16862	-1.55	-0.01
1.6500e+07	17397	17420	22.68	0.09
1.7000e+07	17936	17978	41.52	0.17
1.7500e+07	18539	18536	-3.06	-0.01
1.8000e+07	19101	19095	-6.08	-0.02
1.8500e+07	19665	19654	-10.55	-0.04
1.9000e+07	20210	20214	4.49	0.02
1.9500e+07	20794	20775	-18.97	-0.07
2.0000e+07	21363	21336	-26.94	-0.10
2.1000e+07	22452	22459	7.48	0.03
2.2000e+07	23650	23585	-65.36	-0.24
2.3000e+07	24806	24711	-94.58	-0.33
2.4000e+07	25919	25840	-79.28	-0.27
2.5000e+07	27089	26969	-119.54	-0.41
2.6000e+07	28230	28101	-129.46	-0.43
2.7000e+07	29364	29233	-131.11	-0.43
2.8000e+07	30459	30366	-92.54	-0.30
2.9000e+07	31598	31501	-96.84	-0.31
3.0000e+07	32741	32637	-104.05	-0.33
3.1000e+07	33835	33774	-61.22	-0.19
3.2000e+07	34971	34912	-59.41	-0.18
3.3000e+07	36108	36050	-57.66	-0.17
3.4000e+07	37220	37190	-30.02	-0.09
3.5000e+07	38350	38330	-19.51	-0.06
3.6000e+07	39528	39472	-56.18	-0.16
3.7000e+07	40661	40614	-47.07	-0.13
3.8000e+07	41801	41757	-44.19	-0.13
3.9000e+07	42970	42900	-69.59	-0.19
4.0000e+07	44128	44045	-83.29	-0.23
4.1000e+07	45314	45190	-124.32	-0.34
4.2000e+07	46465	46335	-129.70	-0.35
4.3000e+07	47571	47482	-89.45	-0.24
4.4000e+07	48722	48628	-93.60	-0.25
4.5000e+07	49897	49776	-121.17	-0.32
4.6000e+07	51055	50924	-131.18	-0.34
4.7000e+07	52189	52072	-116.64	-0.30
4.8000e+07	53375	53221	-153.58	-0.39
4.9000e+07	54537	54371	-166.00	-0.42
5.0000e+07	55722	55521	-200.94	-0.50
5.2000e+07	58020	57823	-197.38	-0.49
5.4000e+07	60370	60126	-244.03	-0.59
5.6000e+07	62687	62431	-255.98	-0.61
5.8000e+07	64997	64738	-259.32	-0.61
6.0000e+07	67316	67046	-270.15	-0.62
6.2000e+07	69659	69355	-303.54	-0.69
6.4000e+07	71931	71666	-264.57	-0.59
6.6000e+07	74251	73979	-272.30	-0.60
6.8000e+07	76594	76292	-301.79	-0.66
7.0000e+07	78951	78607	-344.11	-0.74
7.2000e+07	81301	80923	-378.31	-0.81
7.4000e+07	83612	83240	-372.44	-0.78
7.6000e+07	85958	85557	-400.54	-0.83
7.8000e+07	88271	87876	-394.66	-0.81
8.0000e+07	90524	90196	-327.84	-0.67
8.2000e+07	92812	92517	-295.12	-0.59
8.4000e+07	95131	94838	-292.54	-0.58
8.6000e+07	97484	97161	-323.13	-0.64
8.8000e+07	99945	99484	-460.91	-0.90
9.0000e+07	102266	101808	-457.93	-0.88
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9.4000e+07	106844	106458	-385.79	-0.73
9.6000e+07	109269	108784	-484.67	-0.91
9.8000e+07	111623	111111	-511.89	-0.95
1.0000e+08	114028	113439	-589.47	-1.09
1.0500e+08	119924	119260	-664.28	-1.20
1.1000e+08	125751	125084	-666.54	-1.18
1.1500e+08	131471	130912	-558.55	-0.97
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1.5000e+08	172182	171782	-400.30	-0.62
1.5500e+08	177992	177629	-363.38	-0.55
1.6000e+08	183899	183477	-421.74	-0.63
1.6500e+08	189808	189328	-480.49	-0.71
1.7000e+08	195565	195179	-385.71	-0.56
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1.8000e+08	207373	206887	-485.96	-0.69
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2.8000e+08	324667	324172	-494.75	-0.58
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3.0000e+08	348249	347658	-590.86	-0.67
3.1000e+08	360147	359403	-743.68	-0.83
3.2000e+08	372016	371150	-866.21	-0.95
3.3000e+08	383758	382897	-860.56	-0.93
3.4000e+08	395461	394646	-814.87	-0.87
3.5000e+08	407283	406396	-887.23	-0.93
3.6000e+08	418899	418146	-752.74	-0.78
3.7000e+08	430693	429898	-795.50	-0.82
3.8000e+08	442563	441649	-913.58	-0.93
3.9000e+08	454399	453402	-997.07	-1.00
4.0000e+08	466162	465155	-1007.04	-1.00
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4.6000e+08	536883	535681	-1202.24	-1.12
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4.8000e+08	560430	559191	-1238.95	-1.13
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5.4000e+08	631067	629723	-1344.42	-1.16
5.6000e+08	654719	653233	-1486.49	-1.27
5.8000e+08	677940	676742	-1198.17	-1.00
6.0000e+08	701140	700250	-889.64	-0.73
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6.4000e+08	748354	747265	-1089.49	-0.87
6.6000e+08	771744	770770	-974.13	-0.77
6.8000e+08	795302	794274	-1028.03	-0.80
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7.2000e+08	842357	841278	-1079.04	-0.82
7.4000e+08	865849	864778	-1071.30	-0.80
7.6000e+08	889384	888276	-1108.15	-0.82
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8.2000e+08	959877	958760	-1116.79	-0.80
8.4000e+08	983486	982251	-1234.54	-0.88
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9.4000e+08	1101387	1099680	-1707.33	-1.15
9.6000e+08	1124836	1123160	-1676.50	-1.12
9.8000e+08	1147926	1146637	-1288.64	-0.85
1.0000e+09	1171524	1170113	-1410.79	-0.92
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1.1500e+09	1346898	1346117	-780.83	-0.48
1.2000e+09	1405631	1404759	-871.63	-0.53
1.2500e+09	1464060	1463389	-671.41	-0.40
1.3000e+09	1522191	1522005	-186.16	-0.11
1.3500e+09	1580799	1580608	-190.88	-0.11
1.4000e+09	1639274	1639198	-75.51	-0.04
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1.5000e+09	1756753	1756341	-412.26	-0.22
1.5500e+09	1815347	1814893	-454.23	-0.24
1.6000e+09	1873967	1873432	-534.82	-0.28
1.6500e+09	1932487	1931959	-527.91	-0.28
1.7000e+09	1990827	1990474	-353.41	-0.18
1.7500e+09	2049266	2048976	-290.22	-0.15
1.8000e+09	2107713	2107466	-247.23	-0.12
1.8500e+09	2165742	2165944	201.68	0.10
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1.9500e+09	2283042	2282864	-178.30	-0.09
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3.2000e+09	3741233	3740684	-548.84	-0.21
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3.6000e+09	4205789	4205900	111.16	0.04
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5.2000e+09	6062287	6061589	-697.86	-0.22
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5.6000e+09	6525404	6524364	-1040.09	-0.31
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6.8000e+09	7911600	7910296	-1303.75	-0.36
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1.6500e+10	19020772	19018753	-2019.14	-0.37
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1.7500e+10	20158745	20156784	-1961.05	-0.35
1.8000e+10	20727047	20725398	-1649.32	-0.29
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3.0000e+10	34305016	34305105	89.43	0.01
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4.1000e+10	46665420	46665576	155.96	0.02
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4.5000e+10	51143638	51144061	422.60	0.05
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4.7000e+10	53379549	53380441	892.03	0.10
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5.0000e+10	56728950	56731638	2687.73	0.30
5.2000e+10	58957430	58963614	6184.23	0.67
5.4000e+10	61186131	61193937	7805.65	0.83
5.6000e+10	63415952	63422660	6708.07	0.70
5.8000e+10	65644508	65649836	5327.89	0.55
6.0000e+10	67871380	67875512	4132.25	0.42
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6.8000e+10	76757910	76764087	6176.70	0.59
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8.6000e+10	96681166	96690298	9131.93	0.78
8.8000e+10	98890820	98898749	7929.05	0.67
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9.2000e+10	103303596	103312593	8997.03	0.75
9.4000e+10	105508941	105518027	9085.91	0.75
9.6000e+10	107712729	107722495	9765.71	0.80
9.8000e+10	109915750	109926015	10264.93	0.83
1.0000e+11	112117864	112128605	10741.40	0.86
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1.1000e+11	123124910	123128190	3279.82	0.25
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1.5000e+11	166921666	166932429	10762.61	0.72
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1.6000e+11	177827881	177841500	13619.01	0.88
1.6500e+11	183277642	183290450	12808.01	0.81
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1.7500e+11	194163218	194177703	14484.75	0.90
1.8000e+11	199601346	199616198	14851.75	0.91
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1.9500e+11	215897770	215912206	14436.30	0.85
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2.6000e+11	286227087	286231757	4669.66	0.24
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3.6000e+11	393662431	393666520	4089.34	0.18
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4.8000e+11	521678673	521687551	8877.61	0.34
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5.4000e+11	585398807	585403847	5040.39	0.19
5.6000e+11	606592793	606604551	11757.63	0.43
5.8000e+11	627773952	627787330	13377.52	0.48
6.0000e+11	648939777	648952781	13003.72	0.46
6.2000e+11	670090297	670101462	11165.12	0.39
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6.6000e+11	712336138	712350575	14436.91	0.48
6.8000e+11	733440854	733451959	11105.18	0.37
7.0000e+11	754523765	754538485	14719.76	0.48
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7.4000e+11	796655986	796668582	12596.08	0.40
7.6000e+11	817704699	817712911	8211.96	0.26
7.8000e+11	838743244	838743899	654.80	0.02
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