Engineering Tables/Chi-Squared Distribution

Table of values of χ2 in a Chi-Squared Distribution with k degrees of freedom such that p is the area between χ2 and +∞
k	Probability Content, p, between χ2 and +∞
	0.995	0.99	0.975	0.95	0.9	0.75	0.5	0.25	0.1	0.05	0.025	0.01	0.005	0.002	0.001
1	3.927e-5	1.570e-4	9.820e-4	0.00393	0.0157	0.102	0.455	1.323	2.706	3.841	5.024	6.635	7.879	9.550	10.828
2	0.0100	0.0201	0.0506	0.103	0.211	0.575	1.386	2.773	4.605	5.991	7.378	9.210	10.597	12.429	13.816
3	0.0717	0.115	0.216	0.352	0.584	1.213	2.366	4.108	6.251	7.815	9.348	11.345	12.838	14.796	16.266
4	0.207	0.297	0.484	0.711	1.064	1.923	3.357	5.385	7.779	9.488	11.143	13.277	14.860	16.924	18.467
5	0.412	0.554	0.831	1.145	1.610	2.675	4.351	6.626	9.236	11.070	12.833	15.086	16.750	18.907	20.515
6	0.676	0.872	1.237	1.635	2.204	3.455	5.348	7.841	10.645	12.592	14.449	16.812	18.548	20.791	22.458
7	0.989	1.239	1.690	2.167	2.833	4.255	6.346	9.037	12.017	14.067	16.013	18.475	20.278	22.601	24.322
8	1.344	1.646	2.180	2.733	3.490	5.071	7.344	10.219	13.362	15.507	17.535	20.090	21.955	24.352	26.124
9	1.735	2.088	2.700	3.325	4.168	5.899	8.343	11.389	14.684	16.919	19.023	21.666	23.589	26.056	27.877
10	2.156	2.558	3.247	3.940	4.865	6.737	9.342	12.549	15.987	18.307	20.483	23.209	25.188	27.722	29.588
11	2.603	3.053	3.816	4.575	5.578	7.584	10.341	13.701	17.275	19.675	21.920	24.725	26.757	29.354	31.264
12	3.074	3.571	4.404	5.226	6.304	8.438	11.340	14.845	18.549	21.026	23.337	26.217	28.300	30.957	32.909
13	3.565	4.107	5.009	5.892	7.042	9.299	12.340	15.984	19.812	22.362	24.736	27.688	29.819	32.535	34.528
14	4.075	4.660	5.629	6.571	7.790	10.165	13.339	17.117	21.064	23.685	26.119	29.141	31.319	34.091	36.123
15	4.601	5.229	6.262	7.261	8.547	11.037	14.339	18.245	22.307	24.996	27.488	30.578	32.801	35.628	37.697
16	5.142	5.812	6.908	7.962	9.312	11.912	15.338	19.369	23.542	26.296	28.845	32.000	34.267	37.146	39.252
17	5.697	6.408	7.564	8.672	10.085	12.792	16.338	20.489	24.769	27.587	30.191	33.409	35.718	38.648	40.790
18	6.265	7.015	8.231	9.390	10.865	13.675	17.338	21.605	25.989	28.869	31.526	34.805	37.156	40.136	42.312
19	6.844	7.633	8.907	10.117	11.651	14.562	18.338	22.718	27.204	30.144	32.852	36.191	38.582	41.610	43.820
20	7.434	8.260	9.591	10.851	12.443	15.452	19.337	23.828	28.412	31.410	34.170	37.566	39.997	43.072	45.315
21	8.034	8.897	10.283	11.591	13.240	16.344	20.337	24.935	29.615	32.671	35.479	38.932	41.401	44.522	46.797
22	8.643	9.542	10.982	12.338	14.041	17.240	21.337	26.039	30.813	33.924	36.781	40.289	42.796	45.962	48.268
23	9.260	10.196	11.689	13.091	14.848	18.137	22.337	27.141	32.007	35.172	38.076	41.638	44.181	47.391	49.728
24	9.886	10.856	12.401	13.848	15.659	19.037	23.337	28.241	33.196	36.415	39.364	42.980	45.559	48.812	51.179
25	10.520	11.524	13.120	14.611	16.473	19.939	24.337	29.339	34.382	37.652	40.646	44.314	46.928	50.223	52.620
26	11.160	12.198	13.844	15.379	17.292	20.843	25.336	30.435	35.563	38.885	41.923	45.642	48.290	51.627	54.052
27	11.808	12.879	14.573	16.151	18.114	21.749	26.336	31.528	36.741	40.113	43.195	46.963	49.645	53.023	55.476
28	12.461	13.565	15.308	16.928	18.939	22.657	27.336	32.620	37.916	41.337	44.461	48.278	50.993	54.411	56.892
29	13.121	14.256	16.047	17.708	19.768	23.567	28.336	33.711	39.087	42.557	45.722	49.588	52.336	55.792	58.301
30	13.787	14.953	16.791	18.493	20.599	24.478	29.336	34.800	40.256	43.773	46.979	50.892	53.672	57.167	59.703
31	14.458	15.655	17.539	19.281	21.434	25.390	30.336	35.887	41.422	44.985	48.232	52.191	55.003	58.536	61.098
32	15.134	16.362	18.291	20.072	22.271	26.304	31.336	36.973	42.585	46.194	49.480	53.486	56.328	59.899	62.487
33	15.815	17.074	19.047	20.867	23.110	27.219	32.336	38.058	43.745	47.400	50.725	54.776	57.648	61.256	63.870
34	16.501	17.789	19.806	21.664	23.952	28.136	33.336	39.141	44.903	48.602	51.966	56.061	58.964	62.608	65.247
35	17.192	18.509	20.569	22.465	24.797	29.054	34.336	40.223	46.059	49.802	53.203	57.342	60.275	63.955	66.619
36	17.887	19.233	21.336	23.269	25.643	29.973	35.336	41.304	47.212	50.998	54.437	58.619	61.581	65.296	67.985
37	18.586	19.960	22.106	24.075	26.492	30.893	36.336	42.383	48.363	52.192	55.668	59.893	62.883	66.633	69.346
38	19.289	20.691	22.878	24.884	27.343	31.815	37.335	43.462	49.513	53.384	56.896	61.162	64.181	67.966	70.703
39	19.996	21.426	23.654	25.695	28.196	32.737	38.335	44.539	50.660	54.572	58.120	62.428	65.476	69.294	72.055
40	20.707	22.164	24.433	26.509	29.051	33.660	39.335	45.616	51.805	55.758	59.342	63.691	66.766	70.618	73.402
41	21.421	22.906	25.215	27.326	29.907	34.585	40.335	46.692	52.949	56.942	60.561	64.950	68.053	71.938	74.745
42	22.138	23.650	25.999	28.144	30.765	35.510	41.335	47.766	54.090	58.124	61.777	66.206	69.336	73.254	76.084
43	22.859	24.398	26.785	28.965	31.625	36.436	42.335	48.840	55.230	59.304	62.990	67.459	70.616	74.566	77.419
44	23.584	25.148	27.575	29.787	32.487	37.363	43.335	49.913	56.369	60.481	64.201	68.710	71.893	75.874	78.750
45	24.311	25.901	28.366	30.612	33.350	38.291	44.335	50.985	57.505	61.656	65.410	69.957	73.166	77.179	80.077
46	25.041	26.657	29.160	31.439	34.215	39.220	45.335	52.056	58.641	62.830	66.617	71.201	74.437	78.481	81.400
47	25.775	27.416	29.956	32.268	35.081	40.149	46.335	53.127	59.774	64.001	67.821	72.443	75.704	79.780	82.720
48	26.511	28.177	30.755	33.098	35.949	41.079	47.335	54.196	60.907	65.171	69.023	73.683	76.969	81.075	84.037
49	27.249	28.941	31.555	33.930	36.818	42.010	48.335	55.265	62.038	66.339	70.222	74.919	78.231	82.367	85.351
50	27.991	29.707	32.357	34.764	37.689	42.942	49.335	56.334	63.167	67.505	71.420	76.154	79.490	83.657	86.661
51	28.735	30.475	33.162	35.600	38.560	43.874	50.335	57.401	64.295	68.669	72.616	77.386	80.747	84.943	87.968
52	29.481	31.246	33.968	36.437	39.433	44.808	51.335	58.468	65.422	69.832	73.810	78.616	82.001	86.227	89.272
53	30.230	32.018	34.776	37.276	40.308	45.741	52.335	59.534	66.548	70.993	75.002	79.843	83.253	87.507	90.573
54	30.981	32.793	35.586	38.116	41.183	46.676	53.335	60.600	67.673	72.153	76.192	81.069	84.502	88.786	91.872
55	31.735	33.570	36.398	38.958	42.060	47.610	54.335	61.665	68.796	73.311	77.380	82.292	85.749	90.061	93.168
56	32.490	34.350	37.212	39.801	42.937	48.546	55.335	62.729	69.919	74.468	78.567	83.513	86.994	91.335	94.461
57	33.248	35.131	38.027	40.646	43.816	49.482	56.335	63.793	71.040	75.624	79.752	84.733	88.236	92.605	95.751
58	34.008	35.913	38.844	41.492	44.696	50.419	57.335	64.857	72.160	76.778	80.936	85.950	89.477	93.874	97.039
59	34.770	36.698	39.662	42.339	45.577	51.356	58.335	65.919	73.279	77.931	82.117	87.166	90.715	95.140	98.324
60	35.534	37.485	40.482	43.188	46.459	52.294	59.335	66.981	74.397	79.082	83.298	88.379	91.952	96.404	99.607
61	36.301	38.273	41.303	44.038	47.342	53.232	60.335	68.043	75.514	80.232	84.476	89.591	93.186	97.665	100.888
62	37.068	39.063	42.126	44.889	48.226	54.171	61.335	69.104	76.630	81.381	85.654	90.802	94.419	98.925	102.166
63	37.838	39.855	42.950	45.741	49.111	55.110	62.335	70.165	77.745	82.529	86.830	92.010	95.649	100.182	103.442
64	38.610	40.649	43.776	46.595	49.996	56.050	63.335	71.225	78.860	83.675	88.004	93.217	96.878	101.437	104.716
65	39.383	41.444	44.603	47.450	50.883	56.990	64.335	72.285	79.973	84.821	89.177	94.422	98.105	102.691	105.988
66	40.158	42.240	45.431	48.305	51.770	57.931	65.335	73.344	81.085	85.965	90.349	95.626	99.330	103.942	107.258
67	40.935	43.038	46.261	49.162	52.659	58.872	66.335	74.403	82.197	87.108	91.519	96.828	100.554	105.192	108.526
68	41.713	43.838	47.092	50.020	53.548	59.814	67.335	75.461	83.308	88.250	92.689	98.028	101.776	106.440	109.791
69	42.494	44.639	47.924	50.879	54.438	60.756	68.334	76.519	84.418	89.391	93.856	99.228	102.996	107.685	111.055
70	43.275	45.442	48.758	51.739	55.329	61.698	69.334	77.577	85.527	90.531	95.023	100.425	104.215	108.929	112.317
71	44.058	46.246	49.592	52.600	56.221	62.641	70.334	78.634	86.635	91.670	96.189	101.621	105.432	110.172	113.577
72	44.843	47.051	50.428	53.462	57.113	63.585	71.334	79.690	87.743	92.808	97.353	102.816	106.648	111.412	114.835
73	45.629	47.858	51.265	54.325	58.006	64.528	72.334	80.747	88.850	93.945	98.516	104.010	107.862	112.651	116.092
74	46.417	48.666	52.103	55.189	58.900	65.472	73.334	81.803	89.956	95.081	99.678	105.202	109.074	113.889	117.346
75	47.206	49.475	52.942	56.054	59.795	66.417	74.334	82.858	91.061	96.217	100.839	106.393	110.286	115.125	118.599
76	47.997	50.286	53.782	56.920	60.690	67.362	75.334	83.913	92.166	97.351	101.999	107.583	111.495	116.359	119.850
77	48.788	51.097	54.623	57.786	61.586	68.307	76.334	84.968	93.270	98.484	103.158	108.771	112.704	117.591	121.100
78	49.582	51.910	55.466	58.654	62.483	69.252	77.334	86.022	94.374	99.617	104.316	109.958	113.911	118.823	122.348
79	50.376	52.725	56.309	59.522	63.380	70.198	78.334	87.077	95.476	100.749	105.473	111.144	115.117	120.052	123.594
80	51.172	53.540	57.153	60.391	64.278	71.145	79.334	88.130	96.578	101.879	106.629	112.329	116.321	121.280	124.839
81	51.969	54.357	57.998	61.261	65.176	72.091	80.334	89.184	97.680	103.010	107.783	113.512	117.524	122.507	126.083
82	52.767	55.174	58.845	62.132	66.076	73.038	81.334	90.237	98.780	104.139	108.937	114.695	118.726	123.733	127.324
83	53.567	55.993	59.692	63.004	66.976	73.985	82.334	91.289	99.880	105.267	110.090	115.876	119.927	124.957	128.565
84	54.368	56.813	60.540	63.876	67.876	74.933	83.334	92.342	100.980	106.395	111.242	117.057	121.126	126.179	129.804
85	55.170	57.634	61.389	64.749	68.777	75.881	84.334	93.394	102.079	107.522	112.393	118.236	122.325	127.401	131.041
86	55.973	58.456	62.239	65.623	69.679	76.829	85.334	94.446	103.177	108.648	113.544	119.414	123.522	128.621	132.277
87	56.777	59.279	63.089	66.498	70.581	77.777	86.334	95.497	104.275	109.773	114.693	120.591	124.718	129.840	133.512
88	57.582	60.103	63.941	67.373	71.484	78.726	87.334	96.548	105.372	110.898	115.841	121.767	125.913	131.057	134.745
89	58.389	60.928	64.793	68.249	72.387	79.675	88.334	97.599	106.469	112.022	116.989	122.942	127.106	132.273	135.978
90	59.196	61.754	65.647	69.126	73.291	80.625	89.334	98.650	107.565	113.145	118.136	124.116	128.299	133.489	137.208
91	60.005	62.581	66.501	70.003	74.196	81.574	90.334	99.700	108.661	114.268	119.282	125.289	129.491	134.702	138.438
92	60.815	63.409	67.356	70.882	75.100	82.524	91.334	100.750	109.756	115.390	120.427	126.462	130.681	135.915	139.666
93	61.625	64.238	68.211	71.760	76.006	83.474	92.334	101.800	110.850	116.511	121.571	127.633	131.871	137.127	140.893
94	62.437	65.068	69.068	72.640	76.912	84.425	93.334	102.850	111.944	117.632	122.715	128.803	133.059	138.337	142.119
95	63.250	65.898	69.925	73.520	77.818	85.376	94.334	103.899	113.038	118.752	123.858	129.973	134.247	139.546	143.344
96	64.063	66.730	70.783	74.401	78.725	86.327	95.334	104.948	114.131	119.871	125.000	131.141	135.433	140.755	144.567
97	64.878	67.562	71.642	75.282	79.633	87.278	96.334	105.997	115.223	120.990	126.141	132.309	136.619	141.962	145.789
98	65.694	68.396	72.501	76.164	80.541	88.229	97.334	107.045	116.315	122.108	127.282	133.476	137.803	143.168	147.010
99	66.510	69.230	73.361	77.046	81.449	89.181	98.334	108.093	117.407	123.225	128.422	134.642	138.987	144.373	148.230
100	67.328	70.065	74.222	77.929	82.358	90.133	99.334	109.141	118.498	124.342	129.561	135.807	140.169	145.577	149.449
101	68.146	70.901	75.083	78.813	83.267	91.085	100.334	110.189	119.589	125.458	130.700	136.971	141.351	146.780	150.667
102	68.965	71.737	75.946	79.697	84.177	92.038	101.334	111.236	120.679	126.574	131.838	138.134	142.532	147.982	151.884
103	69.785	72.575	76.809	80.582	85.088	92.991	102.334	112.284	121.769	127.689	132.975	139.297	143.712	149.183	153.099
104	70.606	73.413	77.672	81.468	85.998	93.944	103.334	113.331	122.858	128.804	134.111	140.459	144.891	150.383	154.314
105	71.428	74.252	78.536	82.354	86.909	94.897	104.334	114.378	123.947	129.918	135.247	141.620	146.070	151.582	155.528
106	72.251	75.092	79.401	83.240	87.821	95.850	105.334	115.424	125.035	131.031	136.382	142.780	147.247	152.780	156.740
107	73.075	75.932	80.267	84.127	88.733	96.804	106.334	116.471	126.123	132.144	137.517	143.940	148.424	153.977	157.952
108	73.899	76.774	81.133	85.015	89.645	97.758	107.334	117.517	127.211	133.257	138.651	145.099	149.599	155.173	159.162
109	74.724	77.616	82.000	85.903	90.558	98.712	108.334	118.563	128.298	134.369	139.784	146.257	150.774	156.369	160.372
110	75.550	78.458	82.867	86.792	91.471	99.666	109.334	119.608	129.385	135.480	140.917	147.414	151.948	157.563	161.581
111	76.377	79.302	83.735	87.681	92.385	100.620	110.334	120.654	130.472	136.591	142.049	148.571	153.122	158.757	162.788
112	77.204	80.146	84.604	88.570	93.299	101.575	111.334	121.699	131.558	137.701	143.180	149.727	154.294	159.950	163.995
113	78.033	80.991	85.473	89.461	94.213	102.530	112.334	122.744	132.643	138.811	144.311	150.882	155.466	161.141	165.201
114	78.862	81.836	86.342	90.351	95.128	103.485	113.334	123.789	133.729	139.921	145.441	152.037	156.637	162.332	166.406
115	79.692	82.682	87.213	91.242	96.043	104.440	114.334	124.834	134.813	141.030	146.571	153.191	157.808	163.523	167.610
116	80.522	83.529	88.084	92.134	96.958	105.396	115.334	125.878	135.898	142.138	147.700	154.344	158.977	164.712	168.813
117	81.353	84.377	88.955	93.026	97.874	106.352	116.334	126.923	136.982	143.246	148.829	155.496	160.146	165.900	170.016
118	82.185	85.225	89.827	93.918	98.790	107.307	117.334	127.967	138.066	144.354	149.957	156.648	161.314	167.088	171.217
119	83.018	86.074	90.700	94.811	99.707	108.263	118.334	129.011	139.149	145.461	151.084	157.800	162.481	168.275	172.418
120	83.852	86.923	91.573	95.705	100.624	109.220	119.334	130.055	140.233	146.567	152.211	158.950	163.648	169.461	173.617
121	84.686	87.773	92.446	96.598	101.541	110.176	120.334	131.098	141.315	147.674	153.338	160.100	164.814	170.647	174.816
122	85.520	88.624	93.320	97.493	102.458	111.133	121.334	132.142	142.398	148.779	154.464	161.250	165.980	171.831	176.014
123	86.356	89.475	94.195	98.387	103.376	112.089	122.334	133.185	143.480	149.885	155.589	162.398	167.144	173.015	177.212
124	87.192	90.327	95.070	99.283	104.295	113.046	123.334	134.228	144.562	150.989	156.714	163.546	168.308	174.198	178.408
125	88.029	91.180	95.946	100.178	105.213	114.004	124.334	135.271	145.643	152.094	157.839	164.694	169.471	175.380	179.604
126	88.866	92.033	96.822	101.074	106.132	114.961	125.334	136.313	146.724	153.198	158.962	165.841	170.634	176.562	180.799
127	89.704	92.887	97.698	101.971	107.051	115.918	126.334	137.356	147.805	154.302	160.086	166.987	171.796	177.743	181.993
128	90.543	93.741	98.576	102.867	107.971	116.876	127.334	138.398	148.885	155.405	161.209	168.133	172.957	178.923	183.186
129	91.382	94.596	99.453	103.765	108.891	117.834	128.334	139.440	149.965	156.508	162.331	169.278	174.118	180.103	184.379
130	92.222	95.451	100.331	104.662	109.811	118.792	129.334	140.482	151.045	157.610	163.453	170.423	175.278	181.282	185.571
131	93.063	96.307	101.210	105.560	110.732	119.750	130.334	141.524	152.125	158.712	164.575	171.567	176.438	182.460	186.762
132	93.904	97.163	102.089	106.459	111.652	120.708	131.334	142.566	153.204	159.814	165.696	172.711	177.597	183.637	187.953
133	94.746	98.020	102.968	107.357	112.573	121.667	132.334	143.608	154.283	160.915	166.816	173.854	178.755	184.814	189.142
134	95.588	98.878	103.848	108.257	113.495	122.625	133.334	144.649	155.361	162.016	167.936	174.996	179.913	185.990	190.331
135	96.431	99.736	104.729	109.156	114.417	123.584	134.334	145.690	156.440	163.116	169.056	176.138	181.070	187.165	191.520
136	97.275	100.595	105.609	110.056	115.338	124.543	135.334	146.731	157.518	164.216	170.175	177.280	182.226	188.340	192.707
137	98.119	101.454	106.491	110.956	116.261	125.502	136.334	147.772	158.595	165.316	171.294	178.421	183.382	189.514	193.894
138	98.964	102.314	107.372	111.857	117.183	126.461	137.334	148.813	159.673	166.415	172.412	179.561	184.538	190.688	195.080
139	99.809	103.174	108.254	112.758	118.106	127.421	138.334	149.854	160.750	167.514	173.530	180.701	185.693	191.861	196.266
140	100.655	104.034	109.137	113.659	119.029	128.380	139.334	150.894	161.827	168.613	174.648	181.840	186.847	193.033	197.451
141	101.501	104.896	110.020	114.561	119.953	129.340	140.334	151.934	162.904	169.711	175.765	182.979	188.001	194.205	198.635
142	102.348	105.757	110.903	115.463	120.876	130.299	141.334	152.975	163.980	170.809	176.882	184.118	189.154	195.376	199.819
143	103.196	106.619	111.787	116.366	121.800	131.259	142.334	154.015	165.056	171.907	177.998	185.256	190.306	196.546	201.002
144	104.044	107.482	112.671	117.268	122.724	132.219	143.334	155.055	166.132	173.004	179.114	186.393	191.458	197.716	202.184
145	104.892	108.345	113.556	118.171	123.649	133.180	144.334	156.094	167.207	174.101	180.229	187.530	192.610	198.885	203.366
146	105.741	109.209	114.441	119.075	124.574	134.140	145.334	157.134	168.283	175.198	181.344	188.666	193.761	200.054	204.547
147	106.591	110.073	115.326	119.979	125.499	135.101	146.334	158.174	169.358	176.294	182.459	189.802	194.912	201.222	205.727
148	107.441	110.937	116.212	120.883	126.424	136.061	147.334	159.213	170.432	177.390	183.573	190.938	196.062	202.390	206.907
149	108.291	111.802	117.098	121.787	127.349	137.022	148.334	160.252	171.507	178.485	184.687	192.073	197.211	203.557	208.086
150	109.142	112.668	117.985	122.692	128.275	137.983	149.334	161.291	172.581	179.581	185.800	193.208	198.360	204.723	209.265
151	109.994	113.533	118.871	123.597	129.201	138.944	150.334	162.330	173.655	180.676	186.914	194.342	199.509	205.889	210.443
152	110.846	114.400	119.759	124.502	130.127	139.905	151.334	163.369	174.729	181.770	188.026	195.476	200.657	207.054	211.620
153	111.698	115.266	120.646	125.408	131.054	140.866	152.334	164.408	175.803	182.865	189.139	196.609	201.804	208.219	212.797
154	112.551	116.134	121.534	126.314	131.980	141.828	153.334	165.446	176.876	183.959	190.251	197.742	202.951	209.383	213.973
155	113.405	117.001	122.423	127.220	132.907	142.789	154.334	166.485	177.949	185.052	191.362	198.874	204.098	210.547	215.149
156	114.259	117.869	123.312	128.127	133.835	143.751	155.334	167.523	179.022	186.146	192.474	200.006	205.244	211.710	216.324
157	115.113	118.738	124.201	129.034	134.762	144.713	156.334	168.561	180.094	187.239	193.584	201.138	206.390	212.873	217.499
158	115.968	119.607	125.090	129.941	135.690	145.675	157.334	169.599	181.167	188.332	194.695	202.269	207.535	214.035	218.673
159	116.823	120.476	125.980	130.848	136.618	146.637	158.334	170.637	182.239	189.424	195.805	203.400	208.680	215.197	219.846
160	117.679	121.346	126.870	131.756	137.546	147.599	159.334	171.675	183.311	190.516	196.915	204.530	209.824	216.358	221.019
161	118.536	122.216	127.761	132.664	138.474	148.561	160.334	172.713	184.382	191.608	198.025	205.660	210.968	217.518	222.191
162	119.392	123.086	128.651	133.572	139.403	149.523	161.334	173.751	185.454	192.700	199.134	206.790	212.111	218.678	223.363
163	120.249	123.957	129.543	134.481	140.331	150.486	162.334	174.788	186.525	193.791	200.243	207.919	213.254	219.838	224.535
164	121.107	124.828	130.434	135.390	141.260	151.449	163.334	175.825	187.596	194.883	201.351	209.047	214.396	220.997	225.705
165	121.965	125.700	131.326	136.299	142.190	152.411	164.334	176.863	188.667	195.973	202.459	210.176	215.539	222.156	226.876
166	122.823	126.572	132.218	137.209	143.119	153.374	165.334	177.900	189.737	197.064	203.567	211.304	216.680	223.314	228.045
167	123.682	127.445	133.111	138.118	144.049	154.337	166.334	178.937	190.808	198.154	204.675	212.431	217.821	224.472	229.215
168	124.541	128.318	134.003	139.028	144.979	155.300	167.334	179.974	191.878	199.244	205.782	213.558	218.962	225.629	230.383
169	125.401	129.191	134.897	139.939	145.909	156.263	168.334	181.011	192.948	200.334	206.889	214.685	220.102	226.786	231.552
170	126.261	130.064	135.790	140.849	146.839	157.227	169.334	182.047	194.017	201.423	207.995	215.812	221.242	227.942	232.719
171	127.122	130.938	136.684	141.760	147.769	158.190	170.334	183.084	195.087	202.513	209.102	216.938	222.382	229.098	233.887
172	127.983	131.813	137.578	142.671	148.700	159.154	171.334	184.120	196.156	203.602	210.208	218.063	223.521	230.253	235.053
173	128.844	132.687	138.472	143.582	149.631	160.117	172.334	185.157	197.225	204.690	211.313	219.189	224.660	231.408	236.220
174	129.706	133.563	139.367	144.494	150.562	161.081	173.334	186.193	198.294	205.779	212.419	220.314	225.798	232.563	237.385
175	130.568	134.438	140.262	145.406	151.493	162.045	174.334	187.229	199.363	206.867	213.524	221.438	226.936	233.717	238.551
176	131.430	135.314	141.157	146.318	152.425	163.009	175.334	188.265	200.432	207.955	214.628	222.563	228.074	234.870	239.716
177	132.293	136.190	142.053	147.230	153.356	163.973	176.334	189.301	201.500	209.042	215.733	223.687	229.211	236.023	240.880
178	133.157	137.066	142.949	148.143	154.288	164.937	177.334	190.337	202.568	210.130	216.837	224.810	230.347	237.176	242.044
179	134.020	137.943	143.845	149.056	155.220	165.901	178.334	191.373	203.636	211.217	217.941	225.933	231.484	238.328	243.207
180	134.884	138.820	144.741	149.969	156.153	166.865	179.334	192.409	204.704	212.304	219.044	227.056	232.620	239.480	244.370
181	135.749	139.698	145.638	150.882	157.085	167.830	180.334	193.444	205.771	213.391	220.148	228.179	233.755	240.632	245.533
182	136.614	140.576	146.535	151.796	158.018	168.794	181.334	194.480	206.839	214.477	221.251	229.301	234.891	241.783	246.695
183	137.479	141.454	147.432	152.709	158.951	169.759	182.334	195.515	207.906	215.563	222.353	230.423	236.026	242.933	247.857
184	138.344	142.332	148.330	153.623	159.883	170.724	183.334	196.550	208.973	216.649	223.456	231.544	237.160	244.084	249.018
185	139.210	143.211	149.228	154.538	160.817	171.688	184.334	197.586	210.040	217.735	224.558	232.665	238.294	245.234	250.179
186	140.077	144.090	150.126	155.452	161.750	172.653	185.334	198.621	211.106	218.820	225.660	233.786	239.428	246.383	251.339
187	140.943	144.970	151.024	156.367	162.684	173.618	186.334	199.656	212.173	219.906	226.761	234.907	240.561	247.532	252.499
188	141.810	145.850	151.923	157.282	163.617	174.583	187.334	200.690	213.239	220.991	227.863	236.027	241.694	248.681	253.659
189	142.678	146.730	152.822	158.197	164.551	175.549	188.334	201.725	214.305	222.076	228.964	237.147	242.827	249.829	254.818
190	143.545	147.610	153.721	159.113	165.485	176.514	189.334	202.760	215.371	223.160	230.064	238.266	243.959	250.977	255.976
191	144.413	148.491	154.621	160.028	166.419	177.479	190.334	203.795	216.437	224.245	231.165	239.386	245.091	252.124	257.135
192	145.282	149.372	155.521	160.944	167.354	178.445	191.334	204.829	217.502	225.329	232.265	240.505	246.223	253.271	258.292
193	146.150	150.254	156.421	161.860	168.288	179.410	192.334	205.864	218.568	226.413	233.365	241.623	247.354	254.418	259.450
194	147.020	151.135	157.321	162.776	169.223	180.376	193.334	206.898	219.633	227.496	234.465	242.742	248.485	255.564	260.607
195	147.889	152.017	158.221	163.693	170.158	181.342	194.334	207.932	220.698	228.580	235.564	243.860	249.616	256.710	261.763
196	148.759	152.900	159.122	164.610	171.093	182.308	195.334	208.966	221.763	229.663	236.664	244.977	250.746	257.855	262.920
197	149.629	153.782	160.023	165.527	172.029	183.273	196.334	210.000	222.828	230.746	237.763	246.095	251.876	259.001	264.075
198	150.499	154.665	160.925	166.444	172.964	184.239	197.334	211.034	223.892	231.829	238.861	247.212	253.006	260.145	265.231
199	151.370	155.548	161.826	167.361	173.900	185.205	198.334	212.068	224.957	232.912	239.960	248.329	254.135	261.290	266.386
200	152.241	156.432	162.728	168.279	174.835	186.172	199.334	213.102	226.021	233.994	241.058	249.445	255.264	262.434	267.541
201	153.112	157.316	163.630	169.196	175.771	187.138	200.334	214.136	227.085	235.077	242.156	250.561	256.393	263.578	268.695
202	153.984	158.200	164.532	170.114	176.707	188.104	201.334	215.170	228.149	236.159	243.254	251.677	257.521	264.721	269.849
203	154.856	159.084	165.435	171.032	177.643	189.071	202.334	216.203	229.213	237.240	244.351	252.793	258.649	265.864	271.002
204	155.728	159.969	166.338	171.951	178.580	190.037	203.334	217.237	230.276	238.322	245.448	253.908	259.777	267.007	272.155
205	156.601	160.854	167.241	172.869	179.516	191.004	204.334	218.270	231.340	239.403	246.545	255.023	260.904	268.149	273.308
206	157.474	161.739	168.144	173.788	180.453	191.970	205.334	219.303	232.403	240.485	247.642	256.138	262.031	269.291	274.460
207	158.347	162.624	169.047	174.707	181.390	192.937	206.334	220.337	233.466	241.566	248.739	257.253	263.158	270.432	275.612
208	159.221	163.510	169.951	175.626	182.327	193.904	207.334	221.370	234.529	242.647	249.835	258.367	264.285	271.574	276.764
209	160.095	164.396	170.855	176.546	183.264	194.871	208.334	222.403	235.592	243.727	250.931	259.481	265.411	272.715	277.915
210	160.969	165.283	171.759	177.465	184.201	195.838	209.334	223.436	236.655	244.808	252.027	260.595	266.537	273.855	279.066
211	161.843	166.169	172.664	178.385	185.139	196.805	210.334	224.469	237.717	245.888	253.122	261.708	267.662	274.995	280.217
212	162.718	167.056	173.568	179.305	186.076	197.772	211.334	225.502	238.780	246.968	254.218	262.821	268.788	276.135	281.367
213	163.593	167.943	174.473	180.225	187.014	198.739	212.334	226.534	239.842	248.048	255.313	263.934	269.912	277.275	282.517
214	164.469	168.831	175.378	181.145	187.952	199.707	213.334	227.567	240.904	249.128	256.408	265.047	271.037	278.414	283.666
215	165.344	169.718	176.283	182.066	188.890	200.674	214.334	228.600	241.966	250.207	257.503	266.159	272.162	279.553	284.815
216	166.220	170.606	177.189	182.987	189.828	201.642	215.334	229.632	243.028	251.286	258.597	267.271	273.286	280.692	285.964
217	167.096	171.494	178.095	183.907	190.767	202.609	216.334	230.665	244.090	252.365	259.691	268.383	274.409	281.830	287.112
218	167.973	172.383	179.001	184.828	191.705	203.577	217.334	231.697	245.151	253.444	260.785	269.495	275.533	282.968	288.261
219	168.850	173.271	179.907	185.750	192.644	204.544	218.334	232.729	246.213	254.523	261.879	270.606	276.656	284.106	289.408
220	169.727	174.160	180.813	186.671	193.582	205.512	219.334	233.762	247.274	255.602	262.973	271.717	277.779	285.243	290.556
221	170.604	175.050	181.720	187.593	194.521	206.480	220.334	234.794	248.335	256.680	264.066	272.828	278.902	286.380	291.703
222	171.482	175.939	182.627	188.514	195.460	207.448	221.334	235.826	249.396	257.758	265.159	273.939	280.024	287.517	292.850
223	172.360	176.829	183.534	189.436	196.400	208.416	222.334	236.858	250.457	258.837	266.252	275.049	281.146	288.653	293.996
224	173.238	177.719	184.441	190.359	197.339	209.384	223.334	237.890	251.517	259.914	267.345	276.159	282.268	289.789	295.142
225	174.116	178.609	185.348	191.281	198.278	210.352	224.334	238.922	252.578	260.992	268.438	277.269	283.390	290.925	296.288
226	174.995	179.499	186.256	192.203	199.218	211.320	225.334	239.954	253.638	262.070	269.530	278.379	284.511	292.061	297.433
227	175.874	180.390	187.164	193.126	200.158	212.288	226.334	240.985	254.699	263.147	270.622	279.488	285.632	293.196	298.579
228	176.753	181.281	188.072	194.049	201.097	213.257	227.334	242.017	255.759	264.224	271.714	280.597	286.753	294.331	299.723
229	177.633	182.172	188.980	194.972	202.037	214.225	228.334	243.049	256.819	265.301	272.806	281.706	287.874	295.465	300.868
230	178.512	183.063	189.889	195.895	202.978	215.194	229.334	244.080	257.879	266.378	273.898	282.814	288.994	296.600	302.012
231	179.392	183.955	190.797	196.818	203.918	216.162	230.334	245.112	258.939	267.455	274.989	283.923	290.114	297.734	303.156
232	180.273	184.847	191.706	197.742	204.858	217.131	231.334	246.143	259.998	268.531	276.080	285.031	291.234	298.867	304.299
233	181.153	185.739	192.615	198.665	205.799	218.099	232.334	247.174	261.058	269.608	277.171	286.139	292.353	300.001	305.443
234	182.034	186.631	193.524	199.589	206.739	219.068	233.334	248.206	262.117	270.684	278.262	287.247	293.472	301.134	306.586
235	182.915	187.524	194.434	200.513	207.680	220.037	234.334	249.237	263.176	271.760	279.352	288.354	294.591	302.267	307.728
236	183.796	188.417	195.343	201.437	208.621	221.006	235.334	250.268	264.235	272.836	280.443	289.461	295.710	303.400	308.871
237	184.678	189.310	196.253	202.362	209.562	221.975	236.334	251.299	265.294	273.911	281.533	290.568	296.828	304.532	310.013
238	185.560	190.203	197.163	203.286	210.503	222.944	237.334	252.330	266.353	274.987	282.623	291.675	297.947	305.664	311.154
239	186.442	191.096	198.073	204.211	211.444	223.913	238.334	253.361	267.412	276.062	283.713	292.782	299.065	306.796	312.296
240	187.324	191.990	198.984	205.135	212.386	224.882	239.334	254.392	268.471	277.138	284.802	293.888	300.182	307.927	313.437
241	188.207	192.884	199.894	206.060	213.327	225.851	240.334	255.423	269.529	278.213	285.892	294.994	301.300	309.058	314.578
242	189.090	193.778	200.805	206.985	214.269	226.820	241.334	256.453	270.588	279.288	286.981	296.100	302.417	310.189	315.718
243	189.973	194.672	201.716	207.911	215.210	227.790	242.334	257.484	271.646	280.362	288.070	297.206	303.534	311.320	316.859
244	190.856	195.567	202.627	208.836	216.152	228.759	243.334	258.515	272.704	281.437	289.159	298.311	304.651	312.450	317.999
245	191.739	196.462	203.539	209.762	217.094	229.729	244.334	259.545	273.762	282.511	290.248	299.417	305.767	313.580	319.138
246	192.623	197.357	204.450	210.687	218.036	230.698	245.334	260.576	274.820	283.586	291.336	300.522	306.883	314.710	320.278
247	193.507	198.252	205.362	211.613	218.979	231.668	246.334	261.606	275.878	284.660	292.425	301.626	307.999	315.840	321.417
248	194.391	199.147	206.274	212.539	219.921	232.637	247.334	262.636	276.935	285.734	293.513	302.731	309.115	316.969	322.556
249	195.276	200.043	207.186	213.465	220.863	233.607	248.334	263.667	277.993	286.808	294.601	303.835	310.231	318.098	323.694
250	196.161	200.939	208.098	214.392	221.806	234.577	249.334	264.697	279.050	287.882	295.689	304.940	311.346	319.227	324.832
300	240.663	245.972	253.912	260.878	269.068	283.135	299.334	316.138	331.789	341.395	349.874	359.906	366.844	375.369	381.425
350	285.608	291.406	300.064	307.648	316.550	331.810	349.334	367.464	384.306	394.626	403.723	414.474	421.900	431.017	437.488
400	330.903	337.155	346.482	354.641	364.207	380.577	399.334	418.697	436.649	447.632	457.305	468.724	476.606	486.274	493.132
450	376.483	383.163	393.118	401.817	412.007	429.418	449.334	469.855	488.849	500.456	510.670	522.717	531.026	541.212	548.432
500	422.303	429.388	439.936	449.147	459.926	478.323	499.333	520.950	540.930	553.127	563.852	576.493	585.207	595.882	603.446
550	468.328	475.796	486.910	496.607	507.947	527.281	549.333	571.992	592.909	605.667	616.878	630.084	639.183	650.324	658.215
600	514.529	522.365	534.019	544.180	556.056	576.286	599.333	622.988	644.800	658.094	669.769	683.516	692.982	704.568	712.771
650	560.885	569.074	581.245	591.853	604.242	625.331	649.333	673.942	696.614	710.421	722.542	736.807	746.625	758.639	767.141
700	607.380	615.907	628.577	639.613	652.497	674.413	699.333	724.861	748.359	762.661	775.211	789.974	800.131	812.556	821.347
750	653.997	662.852	676.003	687.452	700.814	723.526	749.333	775.747	800.043	814.822	827.785	843.029	853.514	866.336	875.404
800	700.725	709.897	723.513	735.362	749.185	772.669	799.333	826.604	851.671	866.911	880.275	895.984	906.786	919.991	929.329
850	747.554	757.033	771.099	783.337	797.607	821.839	849.333	877.435	903.249	918.937	932.689	948.848	959.957	973.534	983.133
900	794.475	804.252	818.756	831.370	846.075	871.032	899.333	928.241	954.782	970.904	985.032	1001.630	1013.036	1026.974	1036.826
950	841.480	851.547	866.477	879.457	894.584	920.248	949.333	979.026	1006.272	1022.816	1037.311	1054.334	1066.031	1080.320	1090.418
1000	888.564	898.912	914.257	927.594	943.133	969.484	999.333	1029.790	1057.724	1074.679	1089.531	1106.969	1118.948	1133.579	1143.917