The table entries are the critical values (percentiles) for the distribution. The column headed DF (degrees of freedom) gives the degrees of freedom for the values in that row. The columns are labeled by ``Percent''. ``One-sided'' and ``Two-sided''. Percent is distribution function - the table entry is the corresponding percentile. One-sided is the significance level for the one-sided upper critical value--the table entry is the critical value. Two-sided gives the two-sided significance level--the table entry is the corresponding two-sided critical value. |
Percent | ||||||||||||
75 | 90 | 95 | 97.5 | 99 | 99.5 | 99.75 | 99.9 | 99.95 | 99.975 | 99.99 | 99.995 | |
One-sided | ||||||||||||
.25 | .10 | .05 | .025 | .01 | .005 | .0025 | .001 | .0005 | .00025 | .0001 | .00005 | |
Two-sided | ||||||||||||
.50 | .20 | .10 | .05 | .02 | .01 | .005 | .002 | .001 | .0005 | .0002 | .0001 | |
df | ||||||||||||
---|---|---|---|---|---|---|---|---|---|---|---|---|
1 | 1.00 | 3.08 | 6.31 | 12.71 | 31.82 | 63.66 | 127.32 | 318.31 | 636.62 | 1273.24 | 3183.10 | 6366.20 |
2 | .82 | 1.89 | 2.92 | 4.30 | 6.96 | 9.22 | 14.09 | 22.33 | 31.60 | 44.70 | 70.70 | 99.99 |
3 | .76 | 1.64 | 2.35 | 3.18 | 4.54 | 5.84 | 7.45 | 10.21 | 12.92 | 16.33 | 22.20 | 28.00 |
4 | .74 | 1.53 | 2.13 | 2.78 | 3.75 | 4.60 | 5.60 | 7.17 | 8.61 | 10.31 | 13.03 | 15.54 |
5 | .73 | 1.48 | 2.02 | 2.57 | 3.37 | 4.03 | 4.77 | 5.89 | 6.87 | 7.98 | 9.68 | 11.18 |
6 | .72 | 1.44 | 1.94 | 2.45 | 3.14 | 3.71 | 4.32 | 5.21 | 5.96 | 6.79 | 8.02 | 9.08 |
7 | .71 | 1.42 | 1.90 | 2.37 | 3.00 | 3.50 | 4.03 | 4.79 | 5.41 | 6.08 | 7.06 | 7.88 |
8 | .71 | 1.40 | 1.86 | 2.31 | 2.90 | 3.36 | 3.83 | 4.50 | 5.04 | 5.62 | 6.44 | 7.12 |
9 | .70 | 1.38 | 1.83 | 2.26 | 2.82 | 3.25 | 3.69 | 4.30 | 4.78 | 5.29 | 6.01 | 6.59 |
10 | .70 | 1.37 | 1.81 | 2.23 | 2.76 | 3.17 | 3.58 | 4.14 | 4.59 | 5.05 | 5.69 | 6.21 |
11 | .70 | 1.36 | 1.80 | 2.20 | 2.72 | 3.11 | 3.50 | 4.03 | 4.44 | 4.86 | 5.45 | 5.92 |
12 | .70 | 1.36 | 1.78 | 2.18 | 2.68 | 3.06 | 3.43 | 3.93 | 4.32 | 4.72 | 5.26 | 5.69 |
13 | .69 | 1.35 | 1.77 | 2.16 | 2.65 | 3.01 | 3.37 | 3.85 | 4.22 | 4.60 | 5.11 | 5.51 |
14 | .69 | 1.35 | 1.76 | 2.15 | 2.63 | 2.98 | 3.33 | 3.79 | 4.14 | 4.50 | 4.99 | 5.36 |
15 | .69 | 1.34 | 1.75 | 2.13 | 2.60 | 2.95 | 3.29 | 3.73 | 4.07 | 4.42 | 4.88 | 5.24 |
16 | .69 | 1.34 | 1.75 | 2.12 | 2.58 | 2.92 | 3.25 | 3.69 | 4.02 | 4.35 | 4.79 | 5.13 |
17 | .69 | 1.33 | 1.74 | 2.11 | 2.57 | 2.90 | 3.22 | 3.65 | 3.97 | 4.29 | 4.71 | 5.04 |
18 | .69 | 1.33 | 1.73 | 2.10 | 2.55 | 2.88 | 3.20 | 3.61 | 3.92 | 4.23 | 4.65 | 4.97 |
19 | .69 | 1.33 | 1.73 | 2.09 | 2.54 | 2.86 | 3.17 | 3.58 | 3.88 | 4.19 | 4.59 | 4.90 |
20 | .69 | 1.33 | 1.73 | 2.09 | 2.53 | 2.85 | 3.15 | 3.55 | 3.85 | 4.15 | 4.54 | 4.84 |
21 | .69 | 1.32 | 1.72 | 2.08 | 2.52 | 2.83 | 3.14 | 3.53 | 3.82 | 4.11 | 4.49 | 4.78 |
22 | .69 | 1.32 | 1.72 | 2.07 | 2.51 | 2.82 | 3.12 | 3.51 | 3.79 | 4.08 | 4.45 | 4.74 |
23 | .68 | 1.32 | 1.71 | 2.07 | 2.50 | 2.81 | 3.10 | 3.49 | 3.77 | 4.05 | 4.42 | 4.69 |
24 | .68 | 1.32 | 1.71 | 2.06 | 2.49 | 2.80 | 3.09 | 3.47 | 3.75 | 4.02 | 4.38 | 4.65 |
25 | .68 | 1.32 | 1.71 | 2.06 | 2.49 | 2.79 | 3.08 | 3.45 | 3.73 | 4.00 | 4.35 | 4.62 |
26 | .68 | 1.32 | 1.71 | 2.06 | 2.48 | 2.78 | 3.07 | 3.44 | 3.71 | 3.97 | 4.32 | 4.59 |
27 | .68 | 1.31 | 1.70 | 2.05 | 2.47 | 2.77 | 3.06 | 3.42 | 3.69 | 3.95 | 4.30 | 4.56 |
28 | .68 | 1.31 | 1.70 | 2.05 | 2.47 | 2.76 | 3.05 | 3.41 | 3.67 | 3.94 | 4.28 | 4.53 |
29 | .68 | 1.31 | 1.70 | 2.05 | 2.46 | 2.76 | 3.04 | 3.40 | 3.66 | 3.92 | 4.25 | 4.51 |
30 | .68 | 1.31 | 1.70 | 2.04 | 2.46 | 2.75 | 3.03 | 3.39 | 3.65 | 3.90 | 4.23 | 4.48 |
35 | .68 | 1.31 | 1.69 | 2.03 | 2.44 | 2.72 | 3.00 | 3.34 | 3.59 | 3.84 | 4.15 | 4.39 |
40 | .68 | 1.30 | 1.68 | 2.02 | 2.42 | 2.70 | 2.97 | 3.31 | 3.55 | 3.79 | 4.09 | 4.32 |
45 | .68 | 1.30 | 1.68 | 2.01 | 2.41 | 2.69 | 2.95 | 3.28 | 3.52 | 3.75 | 4.05 | 4.27 |
50 | .68 | 1.30 | 1.68 | 2.01 | 2.40 | 2.68 | 2.94 | 3.26 | 3.50 | 3.72 | 4.01 | 4.23 |
55 | .68 | 1.30 | 1.67 | 2.00 | 2.40 | 2.67 | 2.93 | 3.25 | 3.48 | 3.70 | 3.99 | 4.20 |
60 | .68 | 1.30 | 1.67 | 2.00 | 2.39 | 2.66 | 2.91 | 3.23 | 3.46 | 3.68 | 3.96 | 4.17 |
65 | .68 | 1.29 | 1.67 | 2.00 | 2.39 | 2.65 | 2.91 | 3.22 | 3.45 | 3.66 | 3.94 | 4.15 |
70 | .68 | 1.29 | 1.67 | 1.99 | 2.38 | 2.65 | 2.90 | 3.21 | 3.44 | 3.65 | 3.93 | 4.13 |
75 | .68 | 1.29 | 1.67 | 1.99 | 2.38 | 2.64 | 2.89 | 3.20 | 3.43 | 3.64 | 3.91 | 4.11 |
80 | .68 | 1.29 | 1.66 | 1.99 | 2.37 | 2.64 | 2.89 | 3.20 | 3.42 | 3.63 | 3.90 | 4.10 |
85 | .68 | 1.29 | 1.66 | 1.99 | 2.37 | 2.64 | 2.88 | 3.19 | 3.41 | 3.62 | 3.89 | 4.08 |
90 | .68 | 1.29 | 1.66 | 1.99 | 2.37 | 2.63 | 2.88 | 3.18 | 3.40 | 3.61 | 3.88 | 4.07 |
95 | .68 | 1.29 | 1.66 | 1.99 | 2.37 | 2.63 | 2.87 | 3.18 | 3.40 | 3.60 | 3.87 | 4.06 |
100 | .68 | 1.29 | 1.66 | 1.98 | 2.36 | 2.63 | 2.87 | 3.17 | 3.39 | 3.60 | 3.86 | 4.05 |
200 | .68 | 1.29 | 1.65 | 1.97 | 2.35 | 2.60 | 2.84 | 3.13 | 3.34 | 3.54 | 3.79 | 3.97 |
500 | .68 | 1.28 | 1.65 | 1.97 | 2.33 | 2.59 | 2.82 | 3.11 | 3.31 | 3.50 | 3.75 | 3.92 |
.67 | 1.28 | 1.65 | 1.96 | 2.33 | 2.58 | 2.81 | 3.10 | 3.30 | 3.49 | 3.73 | 3.91 |
For each observed value of the statistic in column one, table entries correspond to the two-sided -value for the degrees of freedom in the column heading. |
Degrees of freedom | |||||||||||||||
1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | 15 | |
.5 | .705 | .667 | .651 | .643 | .638 | .635 | .632 | .631 | .629 | .628 | .627 | .626 | .625 | .625 | .624 |
1.0 | .500 | .423 | .391 | .374 | .363 | .356 | .351 | .347 | .343 | .341 | .339 | .337 | .336 | .334 | .333 |
1.5 | .374 | .272 | .231 | .208 | .194 | .184 | .177 | .172 | .168 | .165 | .162 | .159 | .158 | .156 | .154 |
1.6 | .356 | .251 | .208 | .185 | .170 | .161 | .154 | .148 | .144 | .141 | .138 | .136 | .134 | .132 | .130 |
1.7 | .339 | .231 | .188 | .164 | .150 | .140 | .133 | .128 | .123 | .120 | .117 | .115 | .113 | .111 | .110 |
1.8 | .323 | .214 | .170 | .146 | .132 | .122 | .115 | .110 | .105 | .102 | .099 | .097 | .095 | .093 | .092 |
1.9 | .308 | .198 | .154 | .130 | .116 | .106 | .099 | .094 | .090 | .087 | .084 | .082 | .080 | .078 | .077 |
2.0 | .295 | .184 | .139 | .116 | .102 | .092 | .086 | .081 | .077 | .073 | .071 | .069 | .067 | .065 | .064 |
2.1 | .283 | .171 | .127 | .104 | .090 | .080 | .074 | .069 | .065 | .062 | .060 | .058 | .056 | .054 | .053 |
2.2 | .272 | .159 | .115 | .093 | .079 | .070 | .064 | .059 | .055 | .052 | .050 | .048 | .046 | .045 | .044 |
2.3 | .261 | .148 | .105 | .083 | .070 | .061 | .055 | .050 | .047 | .044 | .042 | .040 | .039 | .037 | .036 |
2.4 | .251 | .138 | .096 | .074 | .062 | .053 | .047 | .043 | .040 | .037 | .035 | .034 | .032 | .031 | .030 |
2.5 | .242 | .130 | .088 | .067 | .054 | .047 | .041 | .037 | .034 | .031 | .030 | .028 | .027 | .025 | .025 |
2.6 | .234 | .122 | .080 | .060 | .048 | .041 | .035 | .032 | .029 | .026 | .025 | .023 | .022 | .021 | .020 |
2.7 | .226 | .114 | .074 | .054 | .043 | .036 | .031 | .027 | .024 | .022 | .021 | .019 | .018 | .017 | .016 |
2.8 | .218 | .107 | .068 | .049 | .038 | .031 | .027 | .023 | .021 | .019 | .017 | .016 | .015 | .014 | .013 |
2.9 | .211 | .101 | .063 | .044 | .034 | .027 | .023 | .020 | .018 | .016 | .014 | .013 | .012 | .012 | .011 |
3.0 | .205 | .095 | .058 | .040 | .030 | .024 | .020 | .017 | .015 | .013 | .012 | .011 | .010 | .010 | .009 |
3.1 | .199 | .090 | .053 | .036 | .027 | .021 | .017 | .015 | .013 | .011 | .010 | .009 | .008 | .008 | .007 |
3.2 | .193 | .085 | .049 | .033 | .024 | .019 | .015 | .013 | .011 | .009 | .008 | .008 | .007 | .006 | .006 |
3.3 | .187 | .081 | .046 | .030 | .021 | .016 | .013 | .011 | .009 | .008 | .007 | .006 | .006 | .005 | .005 |
3.4 | .182 | .077 | .042 | .027 | .019 | .014 | .011 | .009 | .008 | .007 | .006 | .005 | .005 | .004 | .004 |
3.5 | .177 | .073 | .039 | .025 | .017 | .013 | .010 | .008 | .007 | .006 | .005 | .004 | .004 | .004 | .003 |
3.6 | .172 | .069 | .037 | .023 | .016 | .011 | .009 | .007 | .006 | .005 | .004 | .004 | .003 | .003 | .003 |
3.7 | .168 | .066 | .034 | .021 | .014 | .010 | .008 | .006 | .005 | .004 | .004 | .003 | .003 | .002 | .002 |
3.8 | .164 | .063 | .032 | .019 | .013 | .009 | .007 | .005 | .004 | .003 | .003 | .003 | .002 | .002 | .002 |
3.9 | .160 | .060 | .030 | .018 | .011 | .008 | .006 | .005 | .004 | .003 | .002 | .002 | .002 | .002 | .001 |
4.0 | .156 | .057 | .028 | .016 | .010 | .007 | .005 | .004 | .003 | .003 | .002 | .002 | .002 | .001 | .001 |
4.1 | .152 | .055 | .026 | .015 | .009 | .006 | .005 | .003 | .003 | .002 | .002 | .001 | .001 | .001 | .001 |
4.2 | .149 | .052 | .025 | .014 | .008 | .006 | .004 | .003 | .002 | .002 | .001 | .001 | .001 | .001 | .001 |
4.3 | .145 | .050 | .023 | .013 | .008 | .005 | .004 | .003 | .002 | .002 | .001 | .001 | .001 | .001 | .001 |
4.4 | .142 | .048 | .022 | .012 | .007 | .005 | .003 | .002 | .002 | .001 | .001 | .001 | .001 | .001 | .001 |
4.5 | .139 | .046 | .020 | .011 | .006 | .004 | .003 | .002 | .001 | .001 | .001 | .001 | .001 | .000 | .000 |
4.6 | .136 | .044 | .019 | .010 | .006 | .004 | .002 | .002 | .001 | .001 | .001 | .001 | .000 | .000 | .000 |
4.7 | .133 | .042 | .018 | .009 | .005 | .003 | .002 | .002 | .001 | .001 | .001 | .001 | .000 | .000 | .000 |
4.8 | .131 | .041 | .017 | .009 | .005 | .003 | .002 | .001 | .001 | .001 | .001 | .000 | .000 | .000 | .000 |
4.9 | .128 | .039 | .016 | .008 | .004 | .003 | .002 | .001 | .001 | .001 | .000 | .000 | .000 | .000 | .000 |
5.0 | .126 | .038 | .015 | .007 | .004 | .002 | .002 | .001 | .001 | .001 | .000 | .000 | .000 | .000 | .000 |
5.2 | .121 | .035 | .014 | .007 | .003 | .002 | .001 | .001 | .001 | .000 | .000 | .000 | .000 | .000 | .000 |
5.4 | .117 | .033 | .012 | .006 | .003 | .002 | .001 | .001 | .000 | .000 | .000 | .000 | .000 | .000 | .000 |
5.6 | .112 | .030 | .011 | .005 | .003 | .001 | .001 | .001 | .000 | .000 | .000 | .000 | .000 | .000 | .000 |
5.8 | .109 | .028 | .010 | .004 | .002 | .001 | .001 | .000 | .000 | .000 | .000 | .000 | .000 | .000 | .000 |
6.0 | .105 | .027 | .009 | .004 | .002 | .001 | .001 | .000 | .000 | .000 | .000 | .000 | .000 | .000 | .000 |
6.2 | .102 | .025 | .008 | .003 | .002 | .001 | .000 | .000 | .000 | .000 | .000 | .000 | .000 | .000 | .000 |
6.4 | .099 | .024 | .008 | .003 | .001 | .001 | .000 | .000 | .000 | .000 | .000 | .000 | .000 | .000 | .000 |
6.6 | .096 | .022 | .007 | .003 | .001 | .001 | .000 | .000 | .000 | .000 | .000 | .000 | .000 | .000 | .000 |
6.8 | .093 | .021 | .007 | .002 | .001 | .000 | .000 | .000 | .000 | .000 | .000 | .000 | .000 | .000 | .000 |
7.0 | .090 | .020 | .006 | .002 | .001 | .000 | .000 | .000 | .000 | .000 | .000 | .000 | .000 | .000 | .000 |
7.2 | .088 | .019 | .006 | .002 | .001 | .000 | .000 | .000 | .000 | .000 | .000 | .000 | .000 | .000 | .000 |
7.4 | .086 | .018 | .005 | .002 | .001 | .000 | .000 | .000 | .000 | .000 | .000 | .000 | .000 | .000 | .000 |
7.6 | .083 | .017 | .005 | .002 | .001 | .000 | .000 | .000 | .000 | .000 | .000 | .000 | .000 | .000 | .000 |
7.8 | .081 | .016 | .004 | .001 | .001 | .000 | .000 | .000 | .000 | .000 | .000 | .000 | .000 | .000 | .000 |
8.0 | .079 | .015 | .004 | .001 | .000 | .000 | .000 | .000 | .000 | .000 | .000 | .000 | .000 | .000 | .000 |
8.5 | .075 | .014 | .003 | .001 | .000 | .000 | .000 | .000 | .000 | .000 | .000 | .000 | .000 | .000 | .000 |
9.0 | .070 | .012 | .003 | .001 | .000 | .000 | .000 | .000 | .000 | .000 | .000 | .000 | .000 | .000 | .000 |
9.5 | .067 | .011 | .002 | .001 | .000 | .000 | .000 | .000 | .000 | .000 | .000 | .000 | .000 | .000 | .000 |
10.0 | .063 | .010 | .002 | .001 | .000 | .000 | .000 | .000 | .000 | .000 | .000 | .000 | .000 | .000 | .000 |
10.5 | .060 | .009 | .002 | .000 | .000 | .000 | .000 | .000 | .000 | .000 | .000 | .000 | .000 | .000 | .000 |
11.0 | .058 | .008 | .002 | .000 | .000 | .000 | .000 | .000 | .000 | .000 | .000 | .000 | .000 | .000 | .000 |
11.5 | .055 | .007 | .001 | .000 | .000 | .000 | .000 | .000 | .000 | .000 | .000 | .000 | .000 | .000 | .000 |
12.0 | .053 | .007 | .001 | .000 | .000 | .000 | .000 | .000 | .000 | .000 | .000 | .000 | .000 | .000 | .000 |
12.5 | .051 | .006 | .001 | .000 | .000 | .000 | .000 | .000 | .000 | .000 | .000 | .000 | .000 | .000 | .000 |
13.0 | .049 | .006 | .001 | .000 | .000 | .000 | .000 | .000 | .000 | .000 | .000 | .000 | .000 | .000 | .000 |
.50 | .624 | .623 | .623 | .623 | .623 | .622 | .622 | .622 | .622 | .621 | .621 | .621 | .621 | .621 | .621 |
1.00 | .332 | .331 | .331 | .330 | .329 | .329 | .328 | .328 | .327 | .327 | .327 | .326 | .326 | .326 | .325 |
1.50 | .153 | .152 | .151 | .150 | .149 | .148 | .148 | .147 | .147 | .146 | .146 | .145 | .145 | .144 | .144 |
1.60 | .129 | .128 | .127 | .126 | .125 | .125 | .124 | .123 | .123 | .122 | .122 | .121 | .121 | .120 | .120 |
1.65 | .118 | .117 | .116 | .115 | .115 | .114 | .113 | .113 | .112 | .111 | .111 | .111 | .110 | .110 | .109 |
1.70 | .108 | .107 | .106 | .105 | .105 | .104 | .103 | .103 | .102 | .102 | .101 | .101 | .100 | .100 | .099 |
1.75 | .099 | .098 | .097 | .096 | .095 | .095 | .094 | .093 | .093 | .092 | .092 | .091 | .091 | .091 | .090 |
1.80 | .091 | .090 | .089 | .088 | .087 | .086 | .086 | .085 | .084 | .084 | .083 | .083 | .083 | .082 | .082 |
1.85 | .083 | .082 | .081 | .080 | .079 | .078 | .078 | .077 | .077 | .076 | .075 | .075 | .075 | .075 | .074 |
1.90 | .076 | .075 | .074 | .073 | .072 | .071 | .071 | .070 | .070 | .069 | .069 | .068 | .068 | .067 | .067 |
1.95 | .069 | .068 | .067 | .066 | .065 | .065 | .064 | .063 | .063 | .062 | .062 | .062 | .061 | .061 | .061 |
2.00 | .063 | .062 | .061 | .060 | .059 | .059 | .058 | .057 | .057 | .056 | .056 | .056 | .055 | .055 | .055 |
2.05 | .057 | .056 | .055 | .054 | .054 | .053 | .052 | .052 | .051 | .051 | .051 | .050 | .050 | .050 | .049 |
2.10 | .052 | .051 | .050 | .049 | .049 | .048 | .047 | .047 | .046 | .046 | .046 | .045 | .045 | .045 | .044 |
2.15 | .047 | .046 | .045 | .045 | .044 | .043 | .043 | .042 | .042 | .041 | .041 | .041 | .040 | .040 | .040 |
2.20 | .043 | .042 | .041 | .040 | .040 | .039 | .039 | .038 | .038 | .037 | .037 | .037 | .036 | .036 | .036 |
2.25 | .039 | .038 | .037 | .036 | .036 | .035 | .035 | .034 | .034 | .033 | .033 | .033 | .032 | .032 | .032 |
2.30 | .035 | .034 | .034 | .033 | .032 | .032 | .031 | .031 | .030 | .030 | .030 | .029 | .029 | .029 | .029 |
2.35 | .032 | .031 | .030 | .030 | .029 | .029 | .028 | .028 | .027 | .027 | .027 | .026 | .026 | .026 | .026 |
2.40 | .029 | .028 | .027 | .027 | .026 | .026 | .025 | .025 | .025 | .024 | .024 | .024 | .023 | .023 | .023 |
2.45 | .026 | .025 | .025 | .024 | .024 | .023 | .023 | .022 | .022 | .022 | .021 | .021 | .021 | .021 | .020 |
2.50 | .024 | .023 | .022 | .022 | .021 | .021 | .020 | .020 | .020 | .019 | .019 | .019 | .019 | .018 | .018 |
2.55 | .021 | .021 | .020 | .020 | .019 | .019 | .018 | .018 | .018 | .017 | .017 | .017 | .017 | .016 | .016 |
2.60 | .019 | .019 | .018 | .018 | .017 | .017 | .016 | .016 | .016 | .015 | .015 | .015 | .015 | .015 | .014 |
2.65 | .017 | .017 | .016 | .016 | .015 | .015 | .015 | .014 | .014 | .014 | .014 | .013 | .013 | .013 | .013 |
2.70 | .016 | .015 | .015 | .014 | .014 | .013 | .013 | .013 | .013 | .012 | .012 | .012 | .012 | .011 | .011 |
2.75 | .014 | .014 | .013 | .013 | .012 | .012 | .012 | .011 | .011 | .011 | .011 | .011 | .010 | .010 | .010 |
2.80 | .013 | .012 | .012 | .011 | .011 | .011 | .010 | .010 | .010 | .010 | .010 | .009 | .009 | .009 | .009 |
2.85 | .012 | .011 | .011 | .010 | .010 | .010 | .009 | .009 | .009 | .009 | .008 | .008 | .008 | .008 | .008 |
2.90 | .010 | .010 | .010 | .009 | .009 | .009 | .008 | .008 | .008 | .008 | .007 | .007 | .007 | .007 | .007 |
2.95 | .009 | .009 | .009 | .008 | .008 | .008 | .007 | .007 | .007 | .007 | .007 | .006 | .006 | .006 | .006 |
3.00 | .008 | .008 | .008 | .007 | .007 | .007 | .007 | .006 | .006 | .006 | .006 | .006 | .006 | .005 | .005 |
3.05 | .008 | .007 | .007 | .007 | .006 | .006 | .006 | .006 | .006 | .005 | .005 | .005 | .005 | .005 | .005 |
3.10 | .007 | .007 | .006 | .006 | .006 | .005 | .005 | .005 | .005 | .005 | .005 | .004 | .004 | .004 | .004 |
3.15 | .006 | .006 | .006 | .005 | .005 | .005 | .005 | .004 | .004 | .004 | .004 | .004 | .004 | .004 | .004 |
3.20 | .006 | .005 | .005 | .005 | .004 | .004 | .004 | .004 | .004 | .004 | .004 | .003 | .003 | .003 | .003 |
3.25 | .005 | .005 | .004 | .004 | .004 | .004 | .004 | .004 | .003 | .003 | .003 | .003 | .003 | .003 | .003 |
3.30 | .005 | .004 | .004 | .004 | .004 | .003 | .003 | .003 | .003 | .003 | .003 | .003 | .003 | .003 | .002 |
3.35 | .004 | .004 | .004 | .003 | .003 | .003 | .003 | .003 | .003 | .003 | .002 | .002 | .002 | .002 | .002 |
3.40 | .004 | .003 | .003 | .003 | .003 | .003 | .003 | .002 | .002 | .002 | .002 | .002 | .002 | .002 | .002 |
3.45 | .003 | .003 | .003 | .003 | .003 | .002 | .002 | .002 | .002 | .002 | .002 | .002 | .002 | .002 | .002 |
3.50 | .003 | .003 | .003 | .002 | .002 | .002 | .002 | .002 | .002 | .002 | .002 | .002 | .002 | .002 | .001 |
3.60 | .002 | .002 | .002 | .002 | .002 | .002 | .002 | .002 | .001 | .001 | .001 | .001 | .001 | .001 | .001 |
3.70 | .002 | .002 | .002 | .002 | .001 | .001 | .001 | .001 | .001 | .001 | .001 | .001 | .001 | .001 | .001 |
3.80 | .002 | .001 | .001 | .001 | .001 | .001 | .001 | .001 | .001 | .001 | .001 | .001 | .001 | .001 | .001 |
3.90 | .001 | .001 | .001 | .001 | .001 | .001 | .001 | .001 | .001 | .001 | .001 | .001 | .001 | .001 | .001 |
4.00 | .001 | .001 | .001 | .001 | .001 | .001 | .001 | .001 | .001 | .000 | .000 | .000 | .000 | .000 | .000 |
4.10 | .001 | .001 | .001 | .001 | .001 | .001 | .000 | .000 | .000 | .000 | .000 | .000 | .000 | .000 | .000 |
4.20 | .001 | .001 | .001 | .000 | .000 | .000 | .000 | .000 | .000 | .000 | .000 | .000 | .000 | .000 | .000 |
4.30 | .001 | .000 | .000 | .000 | .000 | .000 | .000 | .000 | .000 | .000 | .000 | .000 | .000 | .000 | .000 |
4.40 | .000 | .000 | .000 | .000 | .000 | .000 | .000 | .000 | .000 | .000 | .000 | .000 | .000 | .000 | .000 |
.50 | .620 | .620 | .620 | .619 | .619 | .619 | .619 | .619 | .618 | .618 | .618 | .618 | .617 | ||
1.00 | .324 | .323 | .323 | .322 | .322 | .321 | .321 | .321 | .320 | .320 | .320 | .319 | .318 | ||
1.60 | .119 | .117 | .117 | .116 | .115 | .115 | .114 | .114 | .114 | .113 | .113 | .111 | .110 | ||
1.65 | .108 | .107 | .106 | .105 | .105 | .104 | .104 | .103 | .103 | .102 | .102 | .101 | .099 | ||
1.70 | .098 | .097 | .096 | .095 | .095 | .094 | .094 | .094 | .093 | .093 | .092 | .091 | .089 | ||
1.75 | .089 | .088 | .087 | .086 | .086 | .085 | .085 | .085 | .084 | .084 | .083 | .082 | .080 | ||
1.80 | .080 | .079 | .079 | .078 | .077 | .077 | .077 | .076 | .076 | .075 | .075 | .073 | .072 | ||
1.85 | .073 | .072 | .071 | .070 | .070 | .069 | .069 | .069 | .068 | .068 | .067 | .066 | .065 | ||
1.90 | .066 | .065 | .064 | .063 | .063 | .062 | .062 | .062 | .061 | .061 | .060 | .059 | .058 | ||
1.95 | .059 | .058 | .057 | .057 | .056 | .056 | .055 | .055 | .055 | .054 | .054 | .053 | .051 | ||
1.98 | .056 | .055 | .054 | .053 | .053 | .052 | .052 | .052 | .051 | .051 | .050 | .049 | .048 | ||
2.00 | .053 | .052 | .052 | .051 | .050 | .050 | .050 | .049 | .049 | .049 | .048 | .047 | .046 | ||
2.02 | .051 | .050 | .049 | .049 | .048 | .048 | .048 | .047 | .047 | .046 | .046 | .045 | .044 | ||
2.04 | .049 | .048 | .047 | .047 | .046 | .046 | .045 | .045 | .045 | .044 | .044 | .043 | .042 | ||
2.06 | .047 | .046 | .045 | .045 | .044 | .044 | .043 | .043 | .043 | .042 | .042 | .041 | .040 | ||
2.08 | .045 | .044 | .043 | .043 | .042 | .042 | .041 | .041 | .041 | .040 | .040 | .039 | .038 | ||
2.10 | .043 | .042 | .041 | .041 | .040 | .040 | .040 | .039 | .039 | .039 | .038 | .037 | .036 | ||
2.12 | .041 | .040 | .040 | .039 | .039 | .038 | .038 | .038 | .037 | .037 | .036 | .035 | .034 | ||
2.14 | .039 | .039 | .038 | .037 | .037 | .036 | .036 | .036 | .035 | .035 | .035 | .034 | .033 | ||
2.16 | .038 | .037 | .036 | .036 | .035 | .035 | .034 | .034 | .034 | .033 | .033 | .032 | .031 | ||
2.18 | .036 | .035 | .035 | .034 | .034 | .033 | .033 | .033 | .032 | .032 | .032 | .030 | .029 | ||
2.20 | .035 | .034 | .033 | .032 | .032 | .032 | .031 | .031 | .031 | .030 | .030 | .029 | .028 | ||
2.22 | .033 | .032 | .031 | .031 | .031 | .030 | .030 | .030 | .029 | .029 | .029 | .028 | .027 | ||
2.24 | .032 | .031 | .030 | .030 | .029 | .029 | .029 | .028 | .028 | .028 | .027 | .026 | .025 | ||
2.26 | .030 | .029 | .029 | .028 | .028 | .027 | .027 | .027 | .027 | .026 | .026 | .025 | .024 | ||
2.28 | .029 | .028 | .027 | .027 | .027 | .026 | .026 | .026 | .025 | .025 | .025 | .024 | .023 | ||
2.30 | .028 | .027 | .026 | .026 | .025 | .025 | .025 | .024 | .024 | .024 | .024 | .022 | .022 | ||
2.32 | .026 | .026 | .025 | .024 | .024 | .024 | .023 | .023 | .023 | .023 | .022 | .021 | .021 | ||
2.34 | .025 | .024 | .024 | .023 | .023 | .023 | .022 | .022 | .022 | .021 | .021 | .020 | .019 | ||
2.36 | .024 | .023 | .023 | .022 | .022 | .022 | .021 | .021 | .021 | .020 | .020 | .019 | .018 | ||
2.38 | .023 | .022 | .022 | .021 | .021 | .021 | .020 | .020 | .020 | .019 | .019 | .018 | .017 | ||
2.40 | .022 | .021 | .021 | .020 | .020 | .020 | .019 | .019 | .019 | .018 | .018 | .017 | .017 | ||
2.42 | .021 | .020 | .020 | .019 | .019 | .019 | .018 | .018 | .018 | .018 | .017 | .016 | .016 | ||
2.44 | .020 | .019 | .019 | .018 | .018 | .018 | .017 | .017 | .017 | .017 | .016 | .016 | .015 | ||
2.46 | .019 | .018 | .018 | .017 | .017 | .017 | .017 | .016 | .016 | .016 | .016 | .015 | .014 | ||
2.48 | .018 | .017 | .017 | .017 | .016 | .016 | .016 | .016 | .015 | .015 | .015 | .014 | .013 | ||
2.50 | .017 | .017 | .016 | .016 | .015 | .015 | .015 | .015 | .014 | .014 | .014 | .013 | .013 | ||
2.45 | .019 | .019 | .018 | .018 | .017 | .017 | .017 | .017 | .016 | .016 | .016 | .015 | .014 | ||
2.50 | .017 | .017 | .016 | .016 | .015 | .015 | .015 | .015 | .014 | .014 | .014 | .013 | .013 | ||
2.55 | .015 | .015 | .014 | .014 | .014 | .013 | .013 | .013 | .013 | .012 | .012 | .012 | .011 | ||
2.60 | .014 | .013 | .013 | .012 | .012 | .012 | .012 | .011 | .011 | .011 | .011 | .010 | .009 | ||
2.65 | .012 | .011 | .011 | .011 | .010 | .010 | .010 | .010 | .010 | .010 | .009 | .009 | .008 | ||
2.70 | .011 | .010 | .010 | .009 | .009 | .009 | .009 | .009 | .008 | .008 | .008 | .008 | .007 | ||
2.75 | .009 | .009 | .009 | .008 | .008 | .008 | .008 | .008 | .007 | .007 | .007 | .007 | .006 | ||
2.80 | .008 | .008 | .008 | .007 | .007 | .007 | .007 | .007 | .006 | .006 | .006 | .006 | .005 | ||
2.85 | .007 | .007 | .007 | .006 | .006 | .006 | .006 | .006 | .006 | .005 | .005 | .005 | .004 | ||
2.90 | .006 | .006 | .006 | .006 | .005 | .005 | .005 | .005 | .005 | .005 | .005 | .004 | .004 | ||
2.95 | .006 | .005 | .005 | .005 | .005 | .005 | .004 | .004 | .004 | .004 | .004 | .004 | .003 | ||
3.00 | .005 | .005 | .004 | .004 | .004 | .004 | .004 | .004 | .004 | .003 | .003 | .003 | .003 | ||
3.05 | .004 | .004 | .004 | .004 | .004 | .003 | .003 | .003 | .003 | .003 | .003 | .003 | .002 | ||
3.10 | .004 | .004 | .003 | .003 | .003 | .003 | .003 | .003 | .003 | .003 | .003 | .002 | .002 | ||
3.15 | .003 | .003 | .003 | .003 | .003 | .003 | .002 | .002 | .002 | .002 | .002 | .002 | .002 | ||
3.20 | .003 | .003 | .003 | .002 | .002 | .002 | .002 | .002 | .002 | .002 | .002 | .002 | .001 | ||
3.25 | .003 | .002 | .002 | .002 | .002 | .002 | .002 | .002 | .002 | .002 | .002 | .001 | .001 | ||
3.30 | .002 | .002 | .002 | .002 | .002 | .002 | .002 | .002 | .001 | .001 | .001 | .001 | .001 | ||
3.35 | .002 | .002 | .002 | .002 | .001 | .001 | .001 | .001 | .001 | .001 | .001 | .001 | .001 | ||
3.40 | .002 | .002 | .001 | .001 | .001 | .001 | .001 | .001 | .001 | .001 | .001 | .001 | .001 | ||
3.45 | .001 | .001 | .001 | .001 | .001 | .001 | .001 | .001 | .001 | .001 | .001 | .001 | .001 | ||
3.50 | .001 | .001 | .001 | .001 | .001 | .001 | .001 | .001 | .001 | .001 | .001 | .001 | .000 | ||
3.60 | .001 | .001 | .001 | .001 | .001 | .001 | .001 | .001 | .001 | .001 | .000 | .000 | .000 | ||
3.70 | .001 | .001 | .001 | .001 | .000 | .000 | .000 | .000 | .000 | .000 | .000 | .000 | .000 |