Actual and conjectured gap count

Gap size : 10 (r=5)

Generated by program gapCounts : Wed Jul 16 14:45:13 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	0.12	0.05
2.0000e+02	2	2	-0.39	-0.14
3.0000e+02	4	3	-0.82	-0.27
4.0000e+02	5	5	-0.25	-0.07
5.0000e+02	7	6	-0.69	-0.19
6.0000e+02	9	8	-1.16	-0.30
7.0000e+02	10	9	-0.65	-0.16
8.0000e+02	13	11	-2.16	-0.51
9.0000e+02	15	12	-2.68	-0.61
1.0000e+03	16	14	-2.22	-0.48
1.1000e+03	19	15	-3.77	-0.80
1.2000e+03	21	17	-4.34	-0.89
1.3000e+03	22	18	-3.92	-0.78
1.4000e+03	22	19	-2.52	-0.49
1.5000e+03	24	21	-3.12	-0.59
1.6000e+03	24	22	-1.74	-0.32
1.7000e+03	25	24	-1.36	-0.25
1.8000e+03	27	25	-2.00	-0.35
1.9000e+03	29	26	-2.64	-0.46
2.0000e+03	29	28	-1.30	-0.22
2.1000e+03	33	29	-3.96	-0.66
2.2000e+03	34	30	-3.63	-0.59
2.3000e+03	34	32	-2.30	-0.37
2.4000e+03	34	33	-0.98	-0.16
2.5000e+03	34	34	0.33	0.05
2.6000e+03	35	36	0.63	0.10
2.7000e+03	36	37	0.93	0.14
2.8000e+03	39	38	-0.78	-0.12
2.9000e+03	40	40	-0.50	-0.07
3.0000e+03	41	41	-0.22	-0.03
3.1000e+03	42	42	0.06	0.01
3.2000e+03	43	43	0.33	0.05
3.3000e+03	43	45	1.59	0.22
3.4000e+03	44	46	1.85	0.26
3.5000e+03	44	47	3.11	0.43
3.6000e+03	48	48	0.36	0.05
3.7000e+03	48	50	1.61	0.22
3.8000e+03	50	51	0.85	0.11
3.9000e+03	52	52	0.09	0.01
4.0000e+03	52	53	1.32	0.17
4.1000e+03	52	55	2.55	0.33
4.2000e+03	52	56	3.77	0.49
4.3000e+03	58	57	-1.00	-0.13
4.4000e+03	61	58	-2.78	-0.35
4.5000e+03	62	59	-2.57	-0.32
4.6000e+03	62	61	-1.36	-0.17
4.7000e+03	63	62	-1.15	-0.14
4.8000e+03	63	63	0.05	0.01
4.9000e+03	64	64	0.26	0.03
5.0000e+03	66	65	-0.55	-0.07
5.2000e+03	68	68	-0.16	-0.02
5.4000e+03	69	70	1.22	0.14
5.6000e+03	70	73	2.58	0.30
5.8000e+03	72	75	2.93	0.33
6.0000e+03	74	77	3.28	0.37
6.2000e+03	79	80	0.61	0.07
6.4000e+03	84	82	-2.07	-0.23
6.6000e+03	86	84	-1.76	-0.19
6.8000e+03	90	87	-3.45	-0.37
7.0000e+03	92	89	-3.16	-0.33
7.2000e+03	94	91	-2.87	-0.30
7.4000e+03	97	93	-3.59	-0.37
7.6000e+03	100	96	-4.32	-0.44
7.8000e+03	100	98	-2.06	-0.21
8.0000e+03	100	100	0.20	0.02
8.2000e+03	102	102	0.44	0.04
8.4000e+03	106	105	-1.32	-0.13
8.6000e+03	108	107	-1.08	-0.11
8.8000e+03	109	109	0.14	0.01
9.0000e+03	112	111	-0.64	-0.06
9.2000e+03	113	114	0.58	0.05
9.4000e+03	114	116	1.78	0.17
9.6000e+03	117	118	0.99	0.09
9.8000e+03	118	120	2.18	0.20
1.0000e+04	119	122	3.37	0.31
1.0500e+04	124	128	3.82	0.34
1.1000e+04	128	133	5.23	0.46
1.1500e+04	134	139	4.61	0.40
1.2000e+04	138	144	5.97	0.51
1.2500e+04	141	149	8.29	0.70
1.3000e+04	146	155	8.58	0.71
1.3500e+04	150	160	9.85	0.81
1.4000e+04	157	165	8.09	0.65
1.4500e+04	163	170	7.31	0.58
1.5000e+04	165	176	10.50	0.82
1.5500e+04	175	181	5.68	0.44
1.6000e+04	179	186	6.83	0.52
1.6500e+04	181	191	9.96	0.75
1.7000e+04	182	196	14.06	1.05
1.7500e+04	185	201	16.15	1.19
1.8000e+04	193	206	13.22	0.97
1.8500e+04	196	211	15.28	1.10
1.9000e+04	200	216	16.31	1.17
1.9500e+04	203	221	18.33	1.30
2.0000e+04	211	226	15.33	1.07
2.1000e+04	219	236	17.28	1.19
2.2000e+04	230	246	16.17	1.09
2.3000e+04	239	256	17.00	1.13
2.4000e+04	247	266	18.78	1.22
2.5000e+04	256	276	19.51	1.25
2.6000e+04	263	285	22.18	1.40
2.7000e+04	274	295	20.81	1.29
2.8000e+04	278	304	26.39	1.61
2.9000e+04	287	314	26.92	1.62
3.0000e+04	295	323	28.42	1.69
3.1000e+04	304	333	28.87	1.70
3.2000e+04	314	342	28.29	1.64
3.3000e+04	320	352	31.66	1.81
3.4000e+04	331	361	30.00	1.70
3.5000e+04	342	370	28.31	1.58
3.6000e+04	351	380	28.58	1.58
3.7000e+04	363	389	25.81	1.41
3.8000e+04	376	398	22.02	1.19
3.9000e+04	383	407	24.19	1.30
4.0000e+04	397	416	19.34	1.02
4.1000e+04	402	425	23.45	1.23
4.2000e+04	412	435	22.54	1.17
4.3000e+04	424	444	19.60	1.01
4.4000e+04	433	453	19.63	1.00
4.5000e+04	440	462	21.64	1.09
4.6000e+04	451	471	19.62	0.98
4.7000e+04	461	480	18.58	0.92
4.8000e+04	473	489	15.51	0.76
4.9000e+04	481	497	16.42	0.80
5.0000e+04	489	506	17.30	0.84
5.2000e+04	505	524	19.01	0.91
5.4000e+04	517	542	24.62	1.15
5.6000e+04	532	559	27.16	1.25
5.8000e+04	557	577	19.61	0.89
6.0000e+04	575	594	18.99	0.85
6.2000e+04	590	611	21.30	0.94
6.4000e+04	610	629	18.54	0.81
6.6000e+04	629	646	16.71	0.72
6.8000e+04	650	663	12.81	0.55
7.0000e+04	664	680	15.85	0.67
7.2000e+04	681	697	15.83	0.66
7.4000e+04	697	714	16.75	0.69
7.6000e+04	710	731	20.61	0.84
7.8000e+04	725	747	22.42	0.90
8.0000e+04	743	764	21.18	0.85
8.2000e+04	761	781	19.88	0.79
8.4000e+04	779	798	18.53	0.72
8.6000e+04	794	814	20.13	0.78
8.8000e+04	811	831	19.68	0.76
9.0000e+04	827	847	20.19	0.77
9.2000e+04	841	864	22.65	0.85
9.4000e+04	860	880	20.07	0.75
9.6000e+04	879	896	17.44	0.65
9.8000e+04	899	913	13.78	0.51
1.0000e+05	916	929	13.07	0.48
1.0500e+05	955	970	14.62	0.52
1.1000e+05	999	1010	10.93	0.38
1.1500e+05	1034	1050	16.02	0.55
1.2000e+05	1084	1090	5.89	0.20
1.2500e+05	1131	1130	-1.44	-0.05
1.3000e+05	1172	1169	-2.96	-0.10
1.3500e+05	1204	1208	4.33	0.14
1.4000e+05	1243	1247	4.44	0.14
1.4500e+05	1286	1286	0.38	0.01
1.5000e+05	1328	1325	-2.84	-0.09
1.5500e+05	1365	1364	-1.22	-0.04
1.6000e+05	1407	1402	-4.75	-0.14
1.6500e+05	1448	1441	-7.42	-0.22
1.7000e+05	1474	1479	4.76	0.14
1.7500e+05	1511	1517	5.81	0.17
1.8000e+05	1550	1555	4.73	0.13
1.8500e+05	1593	1593	-0.49	-0.01
1.9000e+05	1637	1630	-6.82	-0.19
1.9500e+05	1672	1668	-4.27	-0.12
2.0000e+05	1705	1705	0.16	0.00
2.1000e+05	1791	1780	-11.31	-0.30
2.2000e+05	1869	1854	-15.21	-0.40
2.3000e+05	1947	1927	-19.51	-0.50
2.4000e+05	2033	2001	-32.20	-0.81
2.5000e+05	2109	2074	-35.24	-0.88
2.6000e+05	2176	2146	-29.64	-0.72
2.7000e+05	2260	2219	-41.36	-1.00
2.8000e+05	2335	2291	-44.41	-1.05
2.9000e+05	2406	2362	-43.76	-1.02
3.0000e+05	2479	2434	-45.40	-1.05
3.1000e+05	2551	2505	-46.32	-1.05
3.2000e+05	2614	2575	-38.51	-0.86
3.3000e+05	2687	2646	-40.96	-0.91
3.4000e+05	2745	2716	-28.67	-0.63
3.5000e+05	2810	2786	-23.61	-0.51
3.6000e+05	2874	2856	-17.79	-0.38
3.7000e+05	2940	2926	-14.20	-0.30
3.8000e+05	3014	2995	-18.83	-0.39
3.9000e+05	3084	3064	-19.67	-0.41
4.0000e+05	3139	3133	-5.72	-0.12
4.1000e+05	3203	3202	-0.97	-0.02
4.2000e+05	3268	3271	2.58	0.05
4.3000e+05	3337	3339	1.94	0.04
4.4000e+05	3412	3407	-4.88	-0.10
4.5000e+05	3482	3475	-6.88	-0.13
4.6000e+05	3562	3543	-19.05	-0.37
4.7000e+05	3636	3611	-25.40	-0.48
4.8000e+05	3705	3678	-26.91	-0.51
4.9000e+05	3782	3745	-36.59	-0.68
5.0000e+05	3842	3813	-29.43	-0.55
5.2000e+05	3988	3946	-41.56	-0.76
5.4000e+05	4118	4080	-38.29	-0.69
5.6000e+05	4247	4212	-34.58	-0.61
5.8000e+05	4376	4345	-31.42	-0.55
6.0000e+05	4490	4476	-13.78	-0.24
6.2000e+05	4625	4607	-17.65	-0.30
6.4000e+05	4754	4738	-15.99	-0.27
6.6000e+05	4889	4868	-20.81	-0.34
6.8000e+05	5014	4998	-16.07	-0.26
7.0000e+05	5163	5127	-35.77	-0.58
7.2000e+05	5299	5256	-42.89	-0.68
7.4000e+05	5419	5385	-34.42	-0.54
7.6000e+05	5539	5513	-26.34	-0.41
7.8000e+05	5693	5640	-52.64	-0.81
8.0000e+05	5816	5768	-48.31	-0.73
8.2000e+05	5959	5895	-64.35	-0.97
8.4000e+05	6089	6021	-67.73	-1.01
8.6000e+05	6204	6148	-56.45	-0.83
8.8000e+05	6340	6273	-66.51	-0.97
9.0000e+05	6466	6399	-66.88	-0.97
9.2000e+05	6588	6524	-63.57	-0.91
9.4000e+05	6711	6649	-61.57	-0.87
9.6000e+05	6826	6774	-51.87	-0.73
9.8000e+05	6959	6899	-60.45	-0.84
1.0000e+06	7079	7023	-56.33	-0.78
1.0500e+06	7381	7332	-49.21	-0.67
1.1000e+06	7686	7639	-46.73	-0.62
1.1500e+06	7971	7945	-25.82	-0.34
1.2000e+06	8269	8250	-19.38	-0.25
1.2500e+06	8586	8553	-33.35	-0.42
1.3000e+06	8875	8854	-20.66	-0.26
1.3500e+06	9165	9155	-10.26	-0.12
1.4000e+06	9451	9454	2.92	0.03
1.4500e+06	9759	9752	-7.08	-0.08
1.5000e+06	10078	10049	-29.21	-0.34
1.5500e+06	10389	10345	-44.43	-0.51
1.6000e+06	10664	10639	-24.70	-0.28
1.6500e+06	10951	10933	-17.98	-0.20
1.7000e+06	11234	11226	-8.23	-0.09
1.7500e+06	11522	11518	-4.42	-0.05
1.8000e+06	11814	11808	-5.52	-0.06
1.8500e+06	12083	12098	15.50	0.16
1.9000e+06	12386	12388	1.66	0.02
1.9500e+06	12671	12676	5.00	0.05
2.0000e+06	12967	12964	-3.47	-0.04
2.1000e+06	13545	13536	-8.72	-0.09
2.2000e+06	14108	14106	-1.92	-0.02
2.3000e+06	14691	14673	-17.92	-0.17
2.4000e+06	15250	15237	-12.57	-0.12
2.5000e+06	15778	15799	21.24	0.20
2.6000e+06	16347	16359	11.65	0.11
2.7000e+06	16898	16916	17.74	0.16
2.8000e+06	17416	17471	54.63	0.48
2.9000e+06	17986	18023	37.41	0.33
3.0000e+06	18537	18574	37.15	0.32
3.1000e+06	19083	19123	39.93	0.34
3.2000e+06	19643	19670	26.84	0.22
3.3000e+06	20214	20215	0.92	0.01
3.4000e+06	20787	20758	-28.74	-0.23
3.5000e+06	21295	21300	4.90	0.04
3.6000e+06	21829	21840	10.91	0.09
3.7000e+06	22374	22378	4.33	0.03
3.8000e+06	22909	22915	6.22	0.05
3.9000e+06	23444	23451	6.61	0.05
4.0000e+06	23995	23985	-10.43	-0.08
4.1000e+06	24511	24517	6.11	0.05
4.2000e+06	25026	25048	22.30	0.17
4.3000e+06	25538	25578	40.15	0.30
4.4000e+06	26082	26107	24.72	0.18
4.5000e+06	26626	26634	8.02	0.06
4.6000e+06	27180	27160	-19.90	-0.14
4.7000e+06	27699	27685	-14.01	-0.10
4.8000e+06	28235	28209	-26.29	-0.18
4.9000e+06	28752	28731	-20.71	-0.14
5.0000e+06	29275	29253	-22.24	-0.15
5.2000e+06	30319	30292	-26.54	-0.18
5.4000e+06	31372	31328	-43.99	-0.29
5.6000e+06	32390	32360	-30.41	-0.20
5.8000e+06	33388	33387	-0.65	-0.00
6.0000e+06	34444	34411	-32.56	-0.21
6.2000e+06	35450	35432	-17.99	-0.11
6.4000e+06	36450	36449	-0.81	-0.01
6.6000e+06	37457	37463	6.10	0.04
6.8000e+06	38476	38474	-2.15	-0.01
7.0000e+06	39514	39482	-32.46	-0.19
7.2000e+06	40518	40486	-31.71	-0.19
7.4000e+06	41551	41488	-62.83	-0.37
7.6000e+06	42566	42487	-78.71	-0.45
7.8000e+06	43531	43484	-47.28	-0.27
8.0000e+06	44537	44478	-59.46	-0.33
8.2000e+06	45543	45469	-74.17	-0.41
8.4000e+06	46507	46458	-49.34	-0.27
8.6000e+06	47507	47444	-62.91	-0.34
8.8000e+06	48500	48428	-71.80	-0.39
9.0000e+06	49559	49410	-148.97	-0.80
9.2000e+06	50505	50390	-115.35	-0.61
9.4000e+06	51525	51367	-157.89	-0.83
9.6000e+06	52462	52342	-119.54	-0.62
9.8000e+06	53483	53316	-167.23	-0.86
1.0000e+07	54431	54287	-143.94	-0.73
1.0500e+07	56844	56707	-137.19	-0.68
1.1000e+07	59254	59115	-139.03	-0.68
1.1500e+07	61707	61512	-194.86	-0.93
1.2000e+07	64147	63899	-248.15	-1.17
1.2500e+07	66506	66276	-230.38	-1.06
1.3000e+07	68936	68643	-293.10	-1.33
1.3500e+07	71224	71001	-222.91	-1.00
1.4000e+07	73545	73351	-194.41	-0.85
1.4500e+07	75816	75692	-124.25	-0.54
1.5000e+07	78183	78025	-158.10	-0.67
1.5500e+07	80462	80350	-111.66	-0.47
1.6000e+07	82778	82668	-109.64	-0.45
1.6500e+07	85128	84979	-148.78	-0.61
1.7000e+07	87450	87283	-166.83	-0.67
1.7500e+07	89745	89580	-164.56	-0.66
1.8000e+07	92056	91871	-184.75	-0.73
1.8500e+07	94316	94156	-160.20	-0.62
1.9000e+07	96686	96434	-251.71	-0.97
1.9500e+07	98940	98707	-233.10	-0.89
2.0000e+07	101198	100974	-224.21	-0.84
2.1000e+07	105717	105491	-225.90	-0.83
2.2000e+07	110225	109987	-237.59	-0.86
2.3000e+07	114707	114464	-243.19	-0.86
2.4000e+07	119135	118921	-213.71	-0.74
2.5000e+07	123561	123361	-200.25	-0.68
2.6000e+07	128088	127783	-304.99	-1.02
2.7000e+07	132499	132189	-310.19	-1.02
2.8000e+07	136850	136579	-271.14	-0.88
2.9000e+07	141151	140954	-197.21	-0.63
3.0000e+07	145526	145314	-211.81	-0.67
3.1000e+07	149989	149661	-328.37	-1.02
3.2000e+07	154375	153994	-381.40	-1.17
3.3000e+07	158690	158314	-376.41	-1.13
3.4000e+07	162996	162621	-374.95	-1.12
3.5000e+07	167284	166916	-367.61	-1.08
3.6000e+07	171515	171200	-314.99	-0.91
3.7000e+07	175731	175472	-258.72	-0.74
3.8000e+07	180045	179734	-311.46	-0.88
3.9000e+07	184283	183984	-298.86	-0.84
4.0000e+07	188509	188224	-284.63	-0.79
4.1000e+07	192801	192455	-346.47	-0.95
4.2000e+07	197020	196675	-345.10	-0.93
4.3000e+07	201090	200886	-204.25	-0.55
4.4000e+07	205321	205087	-233.67	-0.62
4.5000e+07	209479	209280	-199.13	-0.52
4.6000e+07	213711	213464	-247.39	-0.64
4.7000e+07	217914	217639	-275.23	-0.71
4.8000e+07	221935	221806	-129.46	-0.33
4.9000e+07	226149	225964	-184.87	-0.47
5.0000e+07	230276	230115	-161.27	-0.40
5.2000e+07	238547	238393	-154.33	-0.38
5.4000e+07	246654	246641	-13.28	-0.03
5.6000e+07	254800	254860	60.15	0.14
5.8000e+07	262943	263052	109.11	0.26
6.0000e+07	271169	271218	48.67	0.11
6.2000e+07	279412	279358	-54.17	-0.12
6.4000e+07	287450	287474	23.53	0.05
6.6000e+07	295420	295566	145.62	0.32
6.8000e+07	303538	303635	96.92	0.21
7.0000e+07	311582	311682	100.19	0.22
7.2000e+07	319613	319708	95.15	0.20
7.4000e+07	327512	327713	201.46	0.42
7.6000e+07	335542	335699	156.75	0.33
7.8000e+07	343492	343665	172.63	0.36
8.0000e+07	351464	351612	147.65	0.30
8.2000e+07	359347	359540	193.36	0.39
8.4000e+07	367362	367451	89.25	0.18
8.6000e+07	375168	375345	176.81	0.35
8.8000e+07	383041	383222	180.50	0.35
9.0000e+07	391002	391082	79.75	0.15
9.2000e+07	398940	398926	-14.04	-0.03
9.4000e+07	406654	406755	100.55	0.19
9.6000e+07	414476	414568	91.88	0.17
9.8000e+07	422279	422366	87.31	0.16
1.0000e+08	430016	430150	134.19	0.25
1.0500e+08	449368	449548	180.36	0.33
1.1000e+08	468831	468862	31.39	0.06
1.1500e+08	488066	488097	30.60	0.05
1.2000e+08	507116	507255	138.92	0.24
1.2500e+08	526310	526341	30.92	0.05
1.3000e+08	545269	545358	88.88	0.15
1.3500e+08	564111	564309	197.78	0.32
1.4000e+08	582956	583196	240.40	0.38
1.4500e+08	601848	602023	175.29	0.27
1.5000e+08	620709	620792	82.81	0.13
1.5500e+08	639382	639504	122.17	0.19
1.6000e+08	658009	658162	153.40	0.23
1.6500e+08	676595	676768	173.42	0.26
1.7000e+08	695044	695324	280.02	0.41
1.7500e+08	713638	713831	192.87	0.28
1.8000e+08	731988	732291	302.54	0.43
1.8500e+08	750373	750705	331.51	0.46
1.9000e+08	768740	769074	334.18	0.46
1.9500e+08	787163	787401	237.86	0.33
2.0000e+08	805277	805686	408.79	0.55
2.1000e+08	841865	842135	270.08	0.36
2.2000e+08	878005	878431	425.76	0.55
2.3000e+08	914055	914581	525.69	0.67
2.4000e+08	950130	950592	462.02	0.58
2.5000e+08	985957	986471	514.26	0.63
2.6000e+08	1021758	1022224	466.37	0.56
2.7000e+08	1057378	1057857	478.80	0.57
2.8000e+08	1092906	1093374	467.59	0.54
2.9000e+08	1128350	1128779	429.39	0.49
3.0000e+08	1163533	1164079	545.53	0.61
3.1000e+08	1198913	1199275	361.99	0.40
3.2000e+08	1234160	1234373	212.51	0.23
3.3000e+08	1269200	1269375	174.57	0.19
3.4000e+08	1304212	1304284	72.43	0.08
3.5000e+08	1339208	1339105	-102.86	-0.11
3.6000e+08	1373769	1373840	70.57	0.07
3.7000e+08	1408623	1408490	-132.59	-0.14
3.8000e+08	1443177	1443060	-116.79	-0.12
3.9000e+08	1477967	1477551	-415.63	-0.42
4.0000e+08	1512371	1511966	-404.84	-0.40
4.1000e+08	1546688	1546307	-381.28	-0.37
4.2000e+08	1580957	1580575	-381.90	-0.37
4.3000e+08	1615351	1614773	-577.77	-0.55
4.4000e+08	1649286	1648903	-383.07	-0.36
4.5000e+08	1683459	1682966	-493.02	-0.46
4.6000e+08	1717354	1716964	-389.98	-0.36
4.7000e+08	1751542	1750899	-643.35	-0.59
4.8000e+08	1785135	1784771	-363.61	-0.33
4.9000e+08	1819026	1818584	-442.31	-0.40
5.0000e+08	1852344	1852337	-7.07	-0.01
5.2000e+08	1919609	1919672	62.51	0.06
5.4000e+08	1986958	1986785	-172.90	-0.15
5.6000e+08	2053601	2053687	85.90	0.07
5.8000e+08	2120242	2120385	143.40	0.12
6.0000e+08	2186430	2186888	458.48	0.38
6.2000e+08	2253150	2253203	53.45	0.04
6.4000e+08	2319659	2319337	-321.86	-0.26
6.6000e+08	2385688	2385296	-392.11	-0.31
6.8000e+08	2451477	2451086	-391.34	-0.31
7.0000e+08	2517212	2516712	-499.97	-0.38
7.2000e+08	2582855	2582180	-674.76	-0.51
7.4000e+08	2648436	2647495	-940.78	-0.71
7.6000e+08	2713371	2712662	-709.38	-0.53
7.8000e+08	2778462	2777684	-778.17	-0.57
8.0000e+08	2843153	2842566	-587.01	-0.43
8.2000e+08	2907992	2907312	-679.96	-0.49
8.4000e+08	2972828	2971926	-902.30	-0.64
8.6000e+08	3037132	3036411	-721.50	-0.51
8.8000e+08	3101379	3100770	-609.19	-0.42
9.0000e+08	3165445	3165007	-438.17	-0.30
9.2000e+08	3229799	3229125	-674.40	-0.46
9.4000e+08	3293149	3293126	-22.96	-0.02
9.6000e+08	3357230	3357014	-216.08	-0.14
9.8000e+08	3421065	3420791	-274.11	-0.18
1.0000e+09	3484767	3484459	-307.51	-0.20
1.0500e+09	3643549	3643173	-376.43	-0.24
1.1000e+09	3802005	3801259	-746.41	-0.47
1.1500e+09	3959692	3958749	-942.54	-0.58
1.2000e+09	4116789	4115674	-1114.85	-0.67
1.2500e+09	4273337	4272059	-1277.91	-0.76
1.3000e+09	4429396	4427928	-1467.56	-0.85
1.3500e+09	4585498	4583304	-2193.61	-1.26
1.4000e+09	4740478	4738207	-2270.60	-1.28
1.4500e+09	4894939	4892656	-2282.62	-1.26
1.5000e+09	5049564	5046669	-2895.15	-1.58
1.5500e+09	5202277	5200261	-2015.92	-1.08
1.6000e+09	5355528	5353448	-2079.76	-1.10
1.6500e+09	5508106	5506244	-1861.50	-0.97
1.7000e+09	5660449	5658663	-1785.90	-0.92
1.7500e+09	5812162	5810716	-1445.52	-0.74
1.8000e+09	5963779	5962416	-1362.70	-0.68
1.8500e+09	6115377	6113774	-1603.46	-0.80
1.9000e+09	6266511	6264799	-1712.43	-0.84
1.9500e+09	6417475	6415501	-1973.85	-0.96
2.0000e+09	6568071	6565891	-2180.47	-1.04
2.1000e+09	6868310	6865764	-2545.73	-1.19
2.2000e+09	7166628	7164485	-2143.41	-0.98
2.3000e+09	7463431	7462110	-1320.97	-0.59
2.4000e+09	7758860	7758694	-166.23	-0.07
2.5000e+09	8053898	8054284	386.27	0.17
2.6000e+09	8349130	8348926	-204.11	-0.09
2.7000e+09	8643026	8642659	-366.62	-0.15
2.8000e+09	8935723	8935522	-200.71	-0.08
2.9000e+09	9228272	9227549	-722.69	-0.29
3.0000e+09	9519628	9518773	-855.37	-0.34
3.1000e+09	9810093	9809222	-870.87	-0.34
3.2000e+09	10099675	10098926	-749.31	-0.29
3.3000e+09	10388743	10387909	-833.71	-0.32
3.4000e+09	10676827	10676197	-629.70	-0.24
3.5000e+09	10964277	10963813	-464.47	-0.17
3.6000e+09	11250957	11250776	-180.57	-0.07
3.7000e+09	11537336	11537109	-226.82	-0.08
3.8000e+09	11822743	11822830	86.80	0.03
3.9000e+09	12107094	12107956	862.27	0.30
4.0000e+09	12391557	12392506	948.58	0.33
4.1000e+09	12675139	12676494	1354.81	0.47
4.2000e+09	12959053	12959936	883.22	0.30
4.3000e+09	13241421	13242847	1426.31	0.48
4.4000e+09	13524303	13525241	937.86	0.31
4.5000e+09	13806757	13807130	372.97	0.12
4.6000e+09	14088262	14088527	265.14	0.09
4.7000e+09	14369384	14369444	60.30	0.02
4.8000e+09	14649775	14649893	117.83	0.04
4.9000e+09	14929367	14929884	516.62	0.16
5.0000e+09	15208721	15209427	706.06	0.22
5.2000e+09	15766353	15767211	858.42	0.27
5.4000e+09	16322786	16323321	534.86	0.16
5.6000e+09	16876705	16877824	1119.45	0.34
5.8000e+09	17430906	17430786	-119.96	-0.04
6.0000e+09	17983052	17982265	-787.15	-0.23
6.2000e+09	18532861	18532316	-545.12	-0.16
6.4000e+09	19081303	19080990	-312.60	-0.09
6.6000e+09	19628344	19628336	-7.70	-0.00
6.8000e+09	20173687	20174398	711.39	0.20
7.0000e+09	20718914	20719219	304.67	0.08
7.2000e+09	21261893	21262837	943.64	0.25
7.4000e+09	21804418	21805289	871.46	0.23
7.6000e+09	22345256	22346612	1356.17	0.35
7.8000e+09	22885464	22886838	1373.85	0.35
8.0000e+09	23425098	23425998	899.79	0.23
8.2000e+09	23963598	23964122	523.63	0.13
8.4000e+09	24501308	24501237	-70.51	-0.02
8.6000e+09	25038504	25037372	-1131.94	-0.28
8.8000e+09	25573466	25572551	-915.29	-0.22
9.0000e+09	26107106	26106798	-308.39	-0.07
9.2000e+09	26640598	26640136	-462.21	-0.11
9.4000e+09	27173262	27172587	-674.79	-0.16
9.6000e+09	27704170	27704173	2.85	0.00
9.8000e+09	28234467	28234913	445.77	0.10
1.0000e+10	28764495	28764826	331.16	0.08
1.0500e+10	30085511	30086112	601.29	0.14
1.1000e+10	31401508	31402613	1104.60	0.24
1.1500e+10	32712799	32714569	1769.66	0.38
1.2000e+10	34021064	34022200	1135.86	0.24
1.2500e+10	35324911	35325706	795.26	0.17
1.3000e+10	36624867	36625271	404.03	0.08
1.3500e+10	37920732	37921062	330.46	0.07
1.4000e+10	39213076	39213236	159.67	0.03
1.4500e+10	40502164	40501934	-229.94	-0.04
1.5000e+10	41785314	41787291	1976.62	0.38
1.5500e+10	43068036	43069429	1392.96	0.26
1.6000e+10	44347118	44348464	1346.26	0.25
1.6500e+10	45623333	45624504	1171.11	0.21
1.7000e+10	46898243	46897649	-593.77	-0.11
1.7500e+10	48168560	48167994	-565.96	-0.10
1.8000e+10	49434467	49435627	1160.32	0.20
1.8500e+10	50699398	50700633	1234.60	0.21
1.9000e+10	51963242	51963089	-153.35	-0.03
1.9500e+10	53221490	53223070	1579.89	0.27
2.0000e+10	54480401	54480647	245.68	0.04
2.1000e+10	56988672	56988850	178.10	0.03
2.2000e+10	59487613	59488193	579.50	0.09
2.3000e+10	61977165	61979120	1955.11	0.31
2.4000e+10	64460184	64462038	1854.22	0.29
2.5000e+10	66935215	66937316	2101.50	0.32
2.6000e+10	69402494	69405293	2799.41	0.42
2.7000e+10	71863983	71866280	2296.95	0.34
2.8000e+10	74318525	74320563	2037.84	0.29
2.9000e+10	76765455	76768407	2952.16	0.42
3.0000e+10	79207216	79210059	2842.74	0.40
3.1000e+10	81643783	81645746	1963.13	0.27
3.2000e+10	84073484	84075682	2198.29	0.30
3.3000e+10	86496489	86500066	3577.19	0.48
3.4000e+10	88914897	88919084	4187.04	0.55
3.5000e+10	91329541	91332911	3369.54	0.44
3.6000e+10	93740000	93741710	1709.84	0.22
3.7000e+10	96143210	96145636	2426.47	0.31
3.8000e+10	98541213	98544836	3623.17	0.45
3.9000e+10	100936759	100939447	2687.57	0.33
4.0000e+10	103327142	103329598	2455.88	0.30
4.1000e+10	105713709	105715413	1704.44	0.21
4.2000e+10	108095265	108097010	1745.23	0.21
4.3000e+10	110470643	110474499	3856.38	0.46
4.4000e+10	112844060	112847987	3926.56	0.46
4.5000e+10	115213482	115217572	4090.37	0.47
4.6000e+10	117580331	117583353	3021.70	0.35
4.7000e+10	119940026	119945419	5393.07	0.61
4.8000e+10	122299203	122303859	4655.85	0.52
4.9000e+10	124652392	124658756	6363.60	0.71
5.0000e+10	127004291	127010189	5898.29	0.65
5.2000e+10	131696201	131702971	6769.66	0.73
5.4000e+10	136375499	136382779	7279.79	0.77
5.6000e+10	141043952	141050145	6192.58	0.65
5.8000e+10	145699704	145705559	5854.99	0.60
6.0000e+10	150344472	150349477	5005.29	0.51
6.2000e+10	154979720	154982323	2602.80	0.26
6.4000e+10	159601372	159604490	3118.07	0.31
6.6000e+10	164209505	164216348	6842.64	0.66
6.8000e+10	168814200	168818241	4040.58	0.39
7.0000e+10	173405449	173410493	5043.53	0.48
7.2000e+10	177986793	177993408	6614.69	0.62
7.4000e+10	182563511	182567272	3761.44	0.35
7.6000e+10	187127456	187132357	4900.85	0.45
7.8000e+10	191681169	191688916	7747.05	0.70
8.0000e+10	196227530	196237191	9661.35	0.86
8.2000e+10	200765207	200777411	12204.40	1.07
8.4000e+10	205299053	205309793	10740.07	0.93
8.6000e+10	209820871	209834542	13671.37	1.17
8.8000e+10	214338879	214351855	12976.21	1.10
9.0000e+10	218849083	218861918	12835.15	1.08
9.2000e+10	223351258	223364909	13650.97	1.14
9.4000e+10	227847055	227860997	13942.36	1.15
9.6000e+10	232336512	232350345	13833.39	1.13
9.8000e+10	236822162	236833108	10946.00	0.88
1.0000e+11	241298621	241309434	10812.51	0.87
1.0500e+11	252461447	252473003	11555.79	0.91
1.1000e+11	263586138	263599278	13140.13	1.01
1.1500e+11	274678551	274690128	11577.10	0.87
1.2000e+11	285738409	285747250	8841.32	0.65
1.2500e+11	296766565	296772194	5628.57	0.41
1.3000e+11	307762194	307766376	4182.28	0.30
1.3500e+11	318729420	318731102	1682.09	0.12
1.4000e+11	329666173	329667573	1400.07	0.10
1.4500e+11	340574445	340576901	2455.99	0.17
1.5000e+11	351459097	351460117	1019.94	0.07
1.5500e+11	362314897	362318180	3282.73	0.21
1.6000e+11	373150853	373151983	1130.09	0.07
1.6500e+11	383958120	383962362	4242.03	0.27
1.7000e+11	394743754	394750098	6344.31	0.40
1.7500e+11	405507383	405515925	8542.35	0.53
1.8000e+11	416252402	416260532	8130.47	0.50
1.8500e+11	426977952	426984569	6616.75	0.40
1.9000e+11	437681921	437688646	6725.34	0.40
1.9500e+11	448370446	448373344	2897.55	0.17
2.0000e+11	459036417	459039207	2790.47	0.16
2.1000e+11	480314217	480316482	2265.21	0.13
2.2000e+11	501520061	501524310	4248.85	0.24
2.3000e+11	522654688	522666163	11474.85	0.63
2.4000e+11	543738463	543745196	6733.28	0.36
2.5000e+11	564758399	564764289	5889.94	0.31
2.6000e+11	585719386	585726078	6691.59	0.34
2.7000e+11	606630335	606632986	2650.87	0.13
2.8000e+11	627489138	627487249	-1889.23	-0.09
2.9000e+11	648284303	648290934	6630.52	0.32
3.0000e+11	669040932	669045958	5025.60	0.24
3.1000e+11	689750721	689754104	3383.14	0.16
3.2000e+11	710413823	710417035	3212.43	0.15
3.3000e+11	731034627	731036305	1677.60	0.08
3.4000e+11	751605566	751613366	7799.90	0.36
3.5000e+11	772144998	772149584	4585.72	0.21
3.6000e+11	792635523	792646241	10717.52	0.48
3.7000e+11	813094315	813104544	10228.95	0.45
3.8000e+11	833512645	833525633	12988.08	0.56
3.9000e+11	853903658	853910584	6925.99	0.30
4.0000e+11	874256317	874260415	4097.81	0.17
4.1000e+11	894570851	894576090	5239.21	0.22
4.2000e+11	914846368	914858525	12157.41	0.50
4.3000e+11	935094513	935108590	14076.88	0.58
4.4000e+11	955315634	955327111	11476.59	0.46
4.5000e+11	975496887	975514875	17988.06	0.72
4.6000e+11	995655976	995672634	16658.02	0.66
4.7000e+11	1015784103	1015801104	17000.94	0.67
4.8000e+11	1035879095	1035900969	21874.28	0.85
4.9000e+11	1055949555	1055972885	23329.52	0.90
5.0000e+11	1075993166	1076017476	24310.11	0.93
5.2000e+11	1116001515	1116027064	25549.14	0.96
5.4000e+11	1155900333	1155934247	33913.57	1.25
5.6000e+11	1195711958	1195743186	31227.67	1.13
5.8000e+11	1235415138	1235457732	42593.66	1.51
6.0000e+11	1275026741	1275081456	54715.07	1.92
6.2000e+11	1314560206	1314617681	57474.52	1.98
6.4000e+11	1354006469	1354069502	63032.73	2.14
6.6000e+11	1393380461	1393439813	59352.30	1.99
6.8000e+11	1432675963	1432731325	55361.78	1.83
7.0000e+11	1471887142	1471946578	59436.46	1.94
7.2000e+11	1511029687	1511087964	58277.19	1.88
7.4000e+11	1550107911	1550157732	49821.49	1.58
7.6000e+11	1589108528	1589158006	49478.22	1.55
7.8000e+11	1628037169	1628090791	53622.02	1.66
8.0000e+11	1666901399	1666957985	56585.60	1.73
8.2000e+11	1705708615	1705761385	52770.10	1.60
8.4000e+11	1744447725	1744502699	54973.65	1.65
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8.8000e+11	1821751077	1821805469	54392.26	1.59
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9.2000e+11	1898800195	1898878347	78152.16	2.24
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9.6000e+11	1975652844	1975732284	79440.05	2.24
9.8000e+11	2014001900	2014080307	78406.94	2.19
1.0000e+12	2052293026	2052377275	84248.53	2.33
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