Having received the prototype step attenuator PCBs from Mitch at Hackvana, the next step was to figure out the resistor values for the step attenuator stages.
One could just use a single standard value resistor whose value is closest to the required Pi network resistor value required, but in my book, any job worth doing is usually worth overdoing, unless it's boring.
The PCB has been designed to allow a pair of resistors in parallel to be used to achieve each of the required Pi network resistances.
So, how to quickly and easily find a good match across possibilities in one decade versus three possible decades to choose from in parallel = 36 x 12 = 432 possibilities?
A cheat sheet knocked up in an openoffice spreadsheet led to the following table (saved in tab delimited CSV format, converted to three decimal places, saved as html, then cut and pasted the table html into the blog from a text editor).
To use it, find the closest match to what you need by visual inspection, using the most significant figures. Read off the corresponding values at the top and the left side of the table - these are the resistor values in parallel giving the value in shown the table. Multiply the values by by 10, 100, 1000 etc... to get you into the right decade for your needed value, et voila:
Value: |
10 |
12 |
15 |
18 |
22 |
27 |
33 |
39 |
47 |
56 |
68 |
82 |
10 |
5.000 |
5.455 |
6.000 |
6.429 |
6.875 |
7.297 |
7.674 |
7.959 |
8.246 |
8.485 |
8.718 |
8.913 |
12 |
5.455 |
6.000 |
6.667 |
7.200 |
7.765 |
8.308 |
8.800 |
9.176 |
9.559 |
9.882 |
10.200 |
10.468 |
15 |
6.000 |
6.667 |
7.500 |
8.182 |
8.919 |
9.643 |
10.313 |
10.833 |
11.371 |
11.831 |
12.289 |
12.680 |
18 |
6.429 |
7.200 |
8.182 |
9.000 |
9.900 |
10.800 |
11.647 |
12.316 |
13.015 |
13.622 |
14.233 |
14.760 |
22 |
6.875 |
7.765 |
8.919 |
9.900 |
11.000 |
12.122 |
13.200 |
14.066 |
14.986 |
15.795 |
16.622 |
17.346 |
27 |
7.297 |
8.308 |
9.643 |
10.800 |
12.122 |
13.500 |
14.850 |
15.955 |
17.149 |
18.217 |
19.326 |
20.312 |
33 |
7.674 |
8.800 |
10.313 |
11.647 |
13.200 |
14.850 |
16.500 |
17.875 |
19.388 |
20.764 |
22.218 |
23.530 |
39 |
7.959 |
9.176 |
10.833 |
12.316 |
14.066 |
15.955 |
17.875 |
19.500 |
21.314 |
22.989 |
24.785 |
26.430 |
47 |
8.246 |
9.559 |
11.371 |
13.015 |
14.986 |
17.149 |
19.388 |
21.314 |
23.500 |
25.553 |
27.791 |
29.876 |
56 |
8.485 |
9.882 |
11.831 |
13.622 |
15.795 |
18.217 |
20.764 |
22.989 |
25.553 |
28.000 |
30.710 |
33.275 |
68 |
8.718 |
10.200 |
12.289 |
14.233 |
16.622 |
19.326 |
22.218 |
24.785 |
27.791 |
30.710 |
34.000 |
37.173 |
82 |
8.913 |
10.468 |
12.680 |
14.760 |
17.346 |
20.312 |
23.530 |
26.430 |
29.876 |
33.275 |
37.173 |
41.000 |
100 |
9.091 |
10.714 |
13.043 |
15.254 |
18.033 |
21.260 |
24.812 |
28.058 |
31.973 |
35.897 |
40.476 |
45.055 |
120 |
9.231 |
10.909 |
13.333 |
15.652 |
18.592 |
22.041 |
25.882 |
29.434 |
33.772 |
38.182 |
43.404 |
48.713 |
150 |
9.375 |
11.111 |
13.636 |
16.071 |
19.186 |
22.881 |
27.049 |
30.952 |
35.787 |
40.777 |
46.789 |
53.017 |
180 |
9.474 |
11.250 |
13.846 |
16.364 |
19.604 |
23.478 |
27.887 |
32.055 |
37.269 |
42.712 |
49.355 |
56.336 |
220 |
9.565 |
11.379 |
14.043 |
16.639 |
20.000 |
24.049 |
28.696 |
33.127 |
38.727 |
44.638 |
51.944 |
59.735 |
270 |
9.643 |
11.489 |
14.211 |
16.875 |
20.342 |
24.545 |
29.406 |
34.078 |
40.032 |
46.380 |
54.320 |
62.898 |
330 |
9.706 |
11.579 |
14.348 |
17.069 |
20.625 |
24.958 |
30.000 |
34.878 |
41.141 |
47.876 |
56.382 |
65.680 |
390 |
9.750 |
11.642 |
14.444 |
17.206 |
20.825 |
25.252 |
30.426 |
35.455 |
41.945 |
48.969 |
57.904 |
67.754 |
470 |
9.792 |
11.701 |
14.536 |
17.336 |
21.016 |
25.533 |
30.835 |
36.012 |
42.727 |
50.038 |
59.405 |
69.819 |
560 |
9.825 |
11.748 |
14.609 |
17.439 |
21.168 |
25.758 |
31.164 |
36.461 |
43.361 |
50.909 |
60.637 |
71.526 |
680 |
9.855 |
11.792 |
14.676 |
17.536 |
21.311 |
25.969 |
31.473 |
36.885 |
43.961 |
51.739 |
61.818 |
73.176 |
820 |
9.880 |
11.827 |
14.731 |
17.613 |
21.425 |
26.139 |
31.723 |
37.229 |
44.452 |
52.420 |
62.793 |
74.545 |
1000 |
9.901 |
11.858 |
14.778 |
17.682 |
21.526 |
26.290 |
31.946 |
37.536 |
44.890 |
53.030 |
63.670 |
75.786 |
1200 |
9.917 |
11.881 |
14.815 |
17.734 |
21.604 |
26.406 |
32.117 |
37.772 |
45.229 |
53.503 |
64.353 |
76.755 |
1500 |
9.934 |
11.905 |
14.851 |
17.787 |
21.682 |
26.523 |
32.290 |
38.012 |
45.572 |
53.985 |
65.051 |
77.750 |
1800 |
9.945 |
11.921 |
14.876 |
17.822 |
21.734 |
26.601 |
32.406 |
38.173 |
45.804 |
54.310 |
65.525 |
78.427 |
2200 |
9.955 |
11.935 |
14.898 |
17.854 |
21.782 |
26.673 |
32.512 |
38.321 |
46.017 |
54.610 |
65.961 |
79.053 |
2700 |
9.963 |
11.947 |
14.917 |
17.881 |
21.822 |
26.733 |
32.602 |
38.445 |
46.196 |
54.862 |
66.329 |
79.583 |
3300 |
9.970 |
11.957 |
14.932 |
17.902 |
21.854 |
26.781 |
32.673 |
38.544 |
46.340 |
55.066 |
66.627 |
80.012 |
3900 |
9.974 |
11.963 |
14.943 |
17.917 |
21.877 |
26.814 |
32.723 |
38.614 |
46.440 |
55.207 |
66.835 |
80.311 |
4700 |
9.979 |
11.969 |
14.952 |
17.931 |
21.898 |
26.846 |
32.770 |
38.679 |
46.535 |
55.341 |
67.030 |
80.594 |
5600 |
9.982 |
11.974 |
14.960 |
17.942 |
21.914 |
26.870 |
32.807 |
38.730 |
46.609 |
55.446 |
67.184 |
80.817 |
6800 |
9.985 |
11.979 |
14.967 |
17.952 |
21.929 |
26.893 |
32.841 |
38.778 |
46.677 |
55.543 |
67.327 |
81.023 |
8200 |
9.988 |
11.982 |
14.973 |
17.961 |
21.941 |
26.911 |
32.868 |
38.815 |
46.732 |
55.620 |
67.441 |
81.188 |
10000 |
9.990 |
11.986 |
14.978 |
17.968 |
21.952 |
26.927 |
32.891 |
38.848 |
46.780 |
55.688 |
67.541 |
81.333 |
12000 |
9.992 |
11.988 |
14.981 |
17.973 |
21.960 |
26.939 |
32.909 |
38.874 |
46.817 |
55.740 |
67.617 |
81.443 |
15000 |
9.993 |
11.990 |
14.985 |
17.978 |
21.968 |
26.951 |
32.928 |
38.899 |
46.853 |
55.792 |
67.693 |
81.554 |
18000 |
9.994 |
11.992 |
14.988 |
17.982 |
21.973 |
26.960 |
32.940 |
38.916 |
46.878 |
55.826 |
67.744 |
81.628 |
22000 |
9.995 |
11.993 |
14.990 |
17.985 |
21.978 |
26.967 |
32.951 |
38.931 |
46.900 |
55.858 |
67.790 |
81.695 |
27000 |
9.996 |
11.995 |
14.992 |
17.988 |
21.982 |
26.973 |
32.960 |
38.944 |
46.918 |
55.884 |
67.829 |
81.752 |
33000 |
9.997 |
11.996 |
14.993 |
17.990 |
21.985 |
26.978 |
32.967 |
38.954 |
46.933 |
55.905 |
67.860 |
81.797 |
39000 |
9.997 |
11.996 |
14.994 |
17.992 |
21.988 |
26.981 |
32.972 |
38.961 |
46.943 |
55.920 |
67.882 |
81.828 |
47000 |
9.998 |
11.997 |
14.995 |
17.993 |
21.990 |
26.984 |
32.977 |
38.968 |
46.953 |
55.933 |
67.902 |
81.857 |
56000 |
9.998 |
11.997 |
14.996 |
17.994 |
21.991 |
26.987 |
32.981 |
38.973 |
46.961 |
55.944 |
67.918 |
81.880 |
68000 |
9.999 |
11.998 |
14.997 |
17.995 |
21.993 |
26.989 |
32.984 |
38.978 |
46.968 |
55.954 |
67.932 |
81.901 |
82000 |
9.999 |
11.998 |
14.997 |
17.996 |
21.994 |
26.991 |
32.987 |
38.981 |
46.973 |
55.962 |
67.944 |
81.918 |
In this case, the target values, closest parallel approximations, and % error are as follows:
Closest Match |
8.7179 |
11.6471 |
9.6429 |
43.4030 |
29.4059 |
30.4255 |
57.9039 |
71.5265 |
17.6134 |
17.8539 |
Desired Value |
8.6955 |
11.6150 |
9.6248 |
43.6212 |
29.2402 |
30.3980 |
57.6900 |
71.1510 |
17.6150 |
17.8489 |
Percent error |
1.0026 |
1.0028 |
1.0019 |
0.9950 |
1.0057 |
1.0009 |
1.0037 |
1.0053 |
0.9999 |
1.0003 |
From this we see at most, around half a percent error... not awful...
The ten values above are suitable for 1dB, 2dB, 3dB, 5dB and 10dB Pi attenuator networks. If you look closely at the table, the ten values are in bold.
Those wanting 20dB attenuator network values can find them, but Jim, VK5TR reckons one is better off using two 10dB stages rather than excessive attenuation in one stage to avoid excessive coupling between adjacent step attenuator sections, and I think that makes good sense, so I have not bothered to calculate them.
Another reason to use parallel resistors is that most AHARS (Adelaide Hills Amateur Radio Society) members have around 12,000 resistors in a box not doing much from that one time, at AHARS, we bought 1.28 million resistors and
sorted them into bulk packs...
After some more work in the spreadsheet, we have a sorted list for easy value lookups:
R1 |
R2 |
Parallel Value |
10 |
10 |
5.000000 |
10 |
12 |
5.454550 |
12 |
10 |
5.454550 |
10 |
15 |
6.000000 |
12 |
12 |
6.000000 |
15 |
10 |
6.000000 |
10 |
18 |
6.428570 |
18 |
10 |
6.428570 |
12 |
15 |
6.666670 |
15 |
12 |
6.666670 |
10 |
22 |
6.875000 |
22 |
10 |
6.875000 |
12 |
18 |
7.200000 |
18 |
12 |
7.200000 |
10 |
27 |
7.297300 |
27 |
10 |
7.297300 |
15 |
15 |
7.500000 |
10 |
33 |
7.674420 |
33 |
10 |
7.674420 |
12 |
22 |
7.764710 |
22 |
12 |
7.764710 |
10 |
39 |
7.959180 |
39 |
10 |
7.959180 |
15 |
18 |
8.181820 |
18 |
15 |
8.181820 |
10 |
47 |
8.245610 |
47 |
10 |
8.245610 |
12 |
27 |
8.307690 |
27 |
12 |
8.307690 |
10 |
56 |
8.484850 |
56 |
10 |
8.484850 |
10 |
68 |
8.717950 |
68 |
10 |
8.717950 |
12 |
33 |
8.800000 |
33 |
12 |
8.800000 |
10 |
82 |
8.913040 |
82 |
10 |
8.913040 |
15 |
22 |
8.918920 |
22 |
15 |
8.918920 |
18 |
18 |
9.000000 |
100 |
10 |
9.090910 |
12 |
39 |
9.176470 |
39 |
12 |
9.176470 |
120 |
10 |
9.230770 |
150 |
10 |
9.375000 |
180 |
10 |
9.473680 |
12 |
47 |
9.559320 |
47 |
12 |
9.559320 |
220 |
10 |
9.565220 |
15 |
27 |
9.642860 |
27 |
15 |
9.642860 |
270 |
10 |
9.642860 |
330 |
10 |
9.705880 |
390 |
10 |
9.750000 |
470 |
10 |
9.791670 |
560 |
10 |
9.824560 |
680 |
10 |
9.855070 |
820 |
10 |
9.879520 |
12 |
56 |
9.882350 |
56 |
12 |
9.882350 |
18 |
22 |
9.900000 |
22 |
18 |
9.900000 |
1000 |
10 |
9.900990 |
1200 |
10 |
9.917360 |
1200 |
10 |
9.917360 |
1500 |
10 |
9.933770 |
1500 |
10 |
9.933770 |
1800 |
10 |
9.944750 |
2200 |
10 |
9.954750 |
2200 |
10 |
9.954750 |
2700 |
10 |
9.963100 |
2700 |
10 |
9.963100 |
3300 |
10 |
9.969790 |
3900 |
10 |
9.974420 |
4700 |
10 |
9.978770 |
4700 |
10 |
9.978770 |
5600 |
10 |
9.982170 |
5600 |
10 |
9.982170 |
6800 |
10 |
9.985320 |
6800 |
10 |
9.985320 |
8200 |
10 |
9.987820 |
10000 |
10 |
9.990010 |
18000 |
10 |
9.994450 |
33000 |
10 |
9.996970 |
39000 |
10 |
9.997440 |
82000 |
10 |
9.998780 |
12 |
68 |
10.200000 |
68 |
12 |
10.200000 |
15 |
33 |
10.312500 |
33 |
15 |
10.312500 |
12 |
82 |
10.468090 |
82 |
12 |
10.468090 |
100 |
12 |
10.714290 |
18 |
27 |
10.800000 |
27 |
18 |
10.800000 |
22 |
22 |
11.000000 |
150 |
12 |
11.111110 |
180 |
12 |
11.250000 |
15 |
47 |
11.370970 |
47 |
15 |
11.370970 |
220 |
12 |
11.379310 |
270 |
12 |
11.489360 |
330 |
12 |
11.578950 |
390 |
12 |
11.641790 |
18 |
33 |
11.647060 |
33 |
18 |
11.647060 |
470 |
12 |
11.701240 |
560 |
12 |
11.748250 |
680 |
12 |
11.791910 |
820 |
12 |
11.826920 |
15 |
56 |
11.830990 |
56 |
15 |
11.830990 |
1000 |
12 |
11.857710 |
1000 |
12 |
11.857710 |
1200 |
12 |
11.881190 |
1200 |
12 |
11.881190 |
1200 |
12 |
11.881190 |
1500 |
12 |
11.904760 |
1500 |
12 |
11.904760 |
1800 |
12 |
11.920530 |
2200 |
12 |
11.934900 |
2200 |
12 |
11.934900 |
2700 |
12 |
11.946900 |
2700 |
12 |
11.946900 |
3300 |
12 |
11.956520 |
3900 |
12 |
11.963190 |
3900 |
12 |
11.963190 |
4700 |
12 |
11.969440 |
4700 |
12 |
11.969440 |
6800 |
12 |
11.978860 |
6800 |
12 |
11.978860 |
8200 |
12 |
11.982460 |
18000 |
12 |
11.992010 |
33000 |
12 |
11.995640 |
56000 |
12 |
11.997430 |
56000 |
12 |
11.997430 |
82000 |
12 |
11.998240 |
22 |
27 |
12.122450 |
27 |
22 |
12.122450 |
15 |
68 |
12.289160 |
68 |
15 |
12.289160 |
18 |
39 |
12.315790 |
39 |
18 |
12.315790 |
15 |
82 |
12.680410 |
82 |
15 |
12.680410 |
18 |
47 |
13.015380 |
47 |
18 |
13.015380 |
100 |
15 |
13.043480 |
22 |
33 |
13.200000 |
33 |
22 |
13.200000 |
120 |
15 |
13.333330 |
27 |
27 |
13.500000 |
18 |
56 |
13.621620 |
22 |
39 |
14.065570 |
39 |
22 |
14.065570 |
270 |
15 |
14.210530 |
18 |
68 |
14.232560 |
68 |
18 |
14.232560 |
330 |
15 |
14.347830 |
390 |
15 |
14.444440 |
390 |
15 |
14.444440 |
470 |
15 |
14.536080 |
560 |
15 |
14.608700 |
680 |
15 |
14.676260 |
820 |
15 |
14.730540 |
18 |
82 |
14.760000 |
82 |
18 |
14.760000 |
1000 |
15 |
14.778330 |
1200 |
15 |
14.814810 |
1200 |
15 |
14.814810 |
27 |
33 |
14.850000 |
33 |
27 |
14.850000 |
1500 |
15 |
14.851490 |
1500 |
15 |
14.851490 |
1500 |
15 |
14.851490 |
1800 |
15 |
14.876030 |
1800 |
15 |
14.876030 |
2200 |
15 |
14.898420 |
2200 |
15 |
14.898420 |
2200 |
15 |
14.898420 |
2700 |
15 |
14.917130 |
3300 |
15 |
14.932130 |
3900 |
15 |
14.942530 |
3900 |
15 |
14.942530 |
4700 |
15 |
14.952280 |
4700 |
15 |
14.952280 |
5600 |
15 |
14.959930 |
5600 |
15 |
14.959930 |
6800 |
15 |
14.966980 |
6800 |
15 |
14.966980 |
8200 |
15 |
14.972610 |
10000 |
15 |
14.977530 |
22 |
47 |
14.985510 |
47 |
22 |
14.985510 |
18000 |
15 |
14.987510 |
27000 |
15 |
14.991670 |
33000 |
15 |
14.993180 |
82000 |
15 |
14.997260 |
100 |
18 |
15.254240 |
120 |
18 |
15.652170 |
22 |
56 |
15.794870 |
56 |
22 |
15.794870 |
27 |
39 |
15.954550 |
150 |
18 |
16.071430 |
180 |
18 |
16.363640 |
22 |
68 |
16.622220 |
68 |
22 |
16.622220 |
220 |
18 |
16.638660 |
270 |
18 |
16.875000 |
330 |
18 |
17.068970 |
27 |
47 |
17.148650 |
47 |
27 |
17.148650 |
390 |
18 |
17.205880 |
470 |
18 |
17.336070 |
22 |
82 |
17.346150 |
82 |
22 |
17.346150 |
560 |
18 |
17.439450 |
560 |
18 |
17.439450 |
680 |
18 |
17.535820 |
820 |
18 |
17.613370 |
1000 |
18 |
17.681730 |
1200 |
18 |
17.733990 |
1200 |
18 |
17.733990 |
1500 |
18 |
17.786560 |
1500 |
18 |
17.786560 |
2200 |
18 |
17.853920 |
33 |
39 |
17.875000 |
39 |
33 |
17.875000 |
2700 |
18 |
17.880790 |
3300 |
18 |
17.902350 |
3900 |
18 |
17.917300 |
3900 |
18 |
17.917300 |
4700 |
18 |
17.931330 |
4700 |
18 |
17.931330 |
5600 |
18 |
17.942330 |
6800 |
18 |
17.952480 |
8200 |
18 |
17.960570 |
10000 |
18 |
17.967660 |
18000 |
18 |
17.982020 |
18000 |
18 |
17.982020 |
22000 |
18 |
17.985280 |
27000 |
18 |
17.988010 |
33000 |
18 |
17.990190 |
56000 |
18 |
17.994220 |
68000 |
18 |
17.995240 |
82000 |
18 |
17.996050 |
100 |
22 |
18.032790 |
27 |
56 |
18.216870 |
56 |
27 |
18.216870 |
150 |
22 |
19.186050 |
27 |
68 |
19.326320 |
68 |
27 |
19.326320 |
33 |
47 |
19.387500 |
39 |
39 |
19.500000 |
180 |
22 |
19.603960 |
220 |
22 |
20.000000 |
82 |
27 |
20.311930 |
270 |
22 |
20.342470 |
330 |
22 |
20.625000 |
33 |
56 |
20.764040 |
56 |
33 |
20.764040 |
390 |
22 |
20.825240 |
470 |
22 |
21.016260 |
560 |
22 |
21.168380 |
100 |
27 |
21.259840 |
680 |
22 |
21.310540 |
39 |
47 |
21.313950 |
47 |
39 |
21.313950 |
820 |
22 |
21.425180 |
1000 |
22 |
21.526420 |
1200 |
22 |
21.603930 |
1200 |
22 |
21.603930 |
1200 |
22 |
21.603930 |
1500 |
22 |
21.682000 |
1500 |
22 |
21.682000 |
1800 |
22 |
21.734360 |
2200 |
22 |
21.782180 |
2200 |
22 |
21.782180 |
2700 |
22 |
21.822190 |
3300 |
22 |
21.854300 |
3900 |
22 |
21.876590 |
3900 |
22 |
21.876590 |
4700 |
22 |
21.897500 |
4700 |
22 |
21.897500 |
6800 |
22 |
21.929050 |
10000 |
22 |
21.951710 |
18000 |
22 |
21.973140 |
27000 |
22 |
21.982090 |
33000 |
22 |
21.985340 |
56000 |
22 |
21.991360 |
56000 |
22 |
21.991360 |
68000 |
22 |
21.992880 |
82000 |
22 |
21.994100 |
82000 |
22 |
21.994100 |
56 |
39 |
22.989470 |
180 |
27 |
23.478260 |
47 |
47 |
23.500000 |
33 |
82 |
23.530430 |
82 |
33 |
23.530430 |
220 |
27 |
24.048580 |
270 |
27 |
24.545450 |
39 |
68 |
24.785050 |
68 |
39 |
24.785050 |
100 |
33 |
24.812030 |
330 |
27 |
24.957980 |
390 |
27 |
25.251800 |
390 |
27 |
25.251800 |
470 |
27 |
25.533200 |
47 |
56 |
25.553400 |
56 |
47 |
25.553400 |
560 |
27 |
25.758090 |
120 |
33 |
25.882350 |
680 |
27 |
25.968880 |
1000 |
27 |
26.290170 |
1000 |
27 |
26.290170 |
1200 |
27 |
26.405870 |
1200 |
27 |
26.405870 |
1200 |
27 |
26.405870 |
39 |
82 |
26.429750 |
82 |
39 |
26.429750 |
1500 |
27 |
26.522590 |
1500 |
27 |
26.522590 |
1500 |
27 |
26.522590 |
1800 |
27 |
26.600990 |
1800 |
27 |
26.600990 |
2200 |
27 |
26.672650 |
2200 |
27 |
26.672650 |
2700 |
27 |
26.732670 |
2700 |
27 |
26.732670 |
3300 |
27 |
26.780880 |
3900 |
27 |
26.814360 |
3900 |
27 |
26.814360 |
4700 |
27 |
26.845780 |
5600 |
27 |
26.870450 |
8200 |
27 |
26.911390 |
33000 |
27 |
26.977930 |
47000 |
27 |
26.984500 |
56000 |
27 |
26.986990 |
68000 |
27 |
26.989280 |
68000 |
27 |
26.989280 |
82000 |
27 |
26.991110 |
82000 |
27 |
26.991110 |
330 |
33 |
30.000000 |
470 |
33 |
30.834990 |
150 |
39 |
30.952380 |
150 |
39 |
30.952380 |
560 |
33 |
31.163580 |
680 |
33 |
31.472650 |
680 |
33 |
31.472650 |
820 |
33 |
31.723330 |
1000 |
33 |
31.945790 |
1000 |
33 |
31.945790 |
100 |
47 |
31.972790 |
1200 |
33 |
32.116790 |
1200 |
33 |
32.116790 |
1500 |
33 |
32.289630 |
1500 |
33 |
32.289630 |
1500 |
33 |
32.289630 |
1800 |
33 |
32.405890 |
1800 |
33 |
32.405890 |
1800 |
33 |
32.405890 |
2200 |
33 |
32.512320 |
2200 |
33 |
32.512320 |
2200 |
33 |
32.512320 |
2700 |
33 |
32.601540 |
2700 |
33 |
32.601540 |
3300 |
33 |
32.673270 |
3300 |
33 |
32.673270 |
3900 |
33 |
32.723110 |
3900 |
33 |
32.723110 |
3900 |
33 |
32.723110 |
4700 |
33 |
32.769910 |
4700 |
33 |
32.769910 |
4700 |
33 |
32.769910 |
5600 |
33 |
32.806670 |
5600 |
33 |
32.806670 |
6800 |
33 |
32.840630 |
6800 |
33 |
32.840630 |
8200 |
33 |
32.867730 |
27000 |
33 |
32.959720 |
33000 |
33 |
32.967030 |
82000 |
33 |
32.986720 |
220 |
39 |
33.127410 |
56 |
82 |
33.275360 |
82 |
56 |
33.275360 |
120 |
47 |
33.772460 |
68 |
68 |
34.000000 |
270 |
39 |
34.077670 |
330 |
39 |
34.878050 |
390 |
39 |
35.454550 |
150 |
47 |
35.786800 |
100 |
56 |
35.897440 |
470 |
39 |
36.011790 |
560 |
39 |
36.460770 |
680 |
39 |
36.884560 |
68 |
82 |
37.173330 |
82 |
68 |
37.173330 |
820 |
39 |
37.229340 |
180 |
47 |
37.268720 |
1000 |
39 |
37.536090 |
1000 |
39 |
37.536090 |
1000 |
39 |
37.536090 |
1200 |
39 |
37.772400 |
1500 |
39 |
38.011700 |
1500 |
39 |
38.011700 |
1800 |
39 |
38.172920 |
1800 |
39 |
38.172920 |
2200 |
39 |
38.320680 |
3900 |
39 |
38.613860 |
4700 |
39 |
38.679050 |
5600 |
39 |
38.730270 |
12000 |
39 |
38.873660 |
12000 |
39 |
38.873660 |
18000 |
39 |
38.915680 |
22000 |
39 |
38.930990 |
27000 |
39 |
38.943750 |
27000 |
39 |
38.943750 |
33000 |
39 |
38.953960 |
33000 |
39 |
38.953960 |
39000 |
39 |
38.961040 |
47000 |
39 |
38.967670 |
56000 |
39 |
38.972860 |
68000 |
39 |
38.977650 |
68000 |
39 |
38.977650 |
82000 |
39 |
38.981460 |
82000 |
39 |
38.981460 |
270 |
47 |
40.031550 |
100 |
68 |
40.476190 |
150 |
56 |
40.776700 |
82 |
82 |
41.000000 |
330 |
47 |
41.140580 |
390 |
47 |
41.945080 |
470 |
47 |
42.727270 |
560 |
47 |
43.360790 |
120 |
68 |
43.404260 |
680 |
47 |
43.961490 |
680 |
47 |
43.961490 |
820 |
47 |
44.452130 |
820 |
47 |
44.452130 |
220 |
56 |
44.637680 |
1000 |
47 |
44.890160 |
100 |
82 |
45.054950 |
1200 |
47 |
45.228550 |
1500 |
47 |
45.572070 |
1800 |
47 |
45.804010 |
2200 |
47 |
46.016910 |
2200 |
47 |
46.016910 |
2200 |
47 |
46.016910 |
2700 |
47 |
46.195850 |
3300 |
47 |
46.340010 |
270 |
56 |
46.380370 |
3900 |
47 |
46.440330 |
4700 |
47 |
46.534650 |
4700 |
47 |
46.534650 |
5600 |
47 |
46.608820 |
6800 |
47 |
46.677380 |
6800 |
47 |
46.677380 |
8200 |
47 |
46.732150 |
10000 |
47 |
46.780130 |
150 |
68 |
46.788990 |
12000 |
47 |
46.816630 |
15000 |
47 |
46.853190 |
18000 |
47 |
46.877600 |
27000 |
47 |
46.918330 |
33000 |
47 |
46.933160 |
39000 |
47 |
46.943430 |
56000 |
47 |
46.960590 |
82000 |
47 |
46.973080 |
330 |
56 |
47.875650 |
120 |
82 |
48.712870 |
390 |
56 |
48.968610 |
390 |
56 |
48.968610 |
180 |
68 |
49.354840 |
470 |
56 |
50.038020 |
560 |
56 |
50.909090 |
560 |
56 |
50.909090 |
680 |
56 |
51.739130 |
1000 |
56 |
53.030300 |
1200 |
56 |
53.503180 |
1200 |
56 |
53.503180 |
1200 |
56 |
53.503180 |
1500 |
56 |
53.984580 |
1800 |
56 |
54.310340 |
1800 |
56 |
54.310340 |
270 |
68 |
54.319530 |
2200 |
56 |
54.609930 |
2200 |
56 |
54.609930 |
2700 |
56 |
54.862120 |
3300 |
56 |
55.065550 |
3300 |
56 |
55.065550 |
3900 |
56 |
55.207280 |
4700 |
56 |
55.340620 |
5600 |
56 |
55.445540 |
5600 |
56 |
55.445540 |
6800 |
56 |
55.542590 |
6800 |
56 |
55.542590 |
8200 |
56 |
55.620160 |
10000 |
56 |
55.688150 |
15000 |
56 |
55.791710 |
18000 |
56 |
55.826320 |
27000 |
56 |
55.884090 |
39000 |
56 |
55.919710 |
47000 |
56 |
55.933360 |
68000 |
56 |
55.953920 |
82000 |
56 |
55.961780 |
82000 |
56 |
55.961780 |
180 |
82 |
56.335880 |
330 |
68 |
56.381910 |
330 |
68 |
56.381910 |
390 |
68 |
57.903930 |
470 |
68 |
59.405200 |
220 |
82 |
59.735100 |
560 |
68 |
60.636940 |
680 |
68 |
61.818180 |
820 |
68 |
62.792790 |
270 |
82 |
62.897730 |
1000 |
68 |
63.670410 |
1000 |
68 |
63.670410 |
1200 |
68 |
64.353310 |
1200 |
68 |
64.353310 |
1800 |
68 |
65.524630 |
1800 |
68 |
65.524630 |
2200 |
68 |
65.961200 |
2200 |
68 |
65.961200 |
2200 |
68 |
65.961200 |
2700 |
68 |
66.329480 |
3300 |
68 |
66.627080 |
3900 |
68 |
66.834680 |
3900 |
68 |
66.834680 |
4700 |
68 |
67.030200 |
4700 |
68 |
67.030200 |
4700 |
68 |
67.030200 |
5600 |
68 |
67.184190 |
5600 |
68 |
67.184190 |
6800 |
68 |
67.326730 |
8200 |
68 |
67.440740 |
15000 |
68 |
67.693120 |
15000 |
68 |
67.693120 |
390 |
82 |
67.754240 |
27000 |
68 |
67.829170 |
33000 |
68 |
67.860170 |
56000 |
68 |
67.917530 |
68000 |
68 |
67.932070 |
82000 |
68 |
67.943660 |
470 |
82 |
69.818840 |
470 |
82 |
69.818840 |
560 |
82 |
71.526480 |
680 |
82 |
73.175850 |
1000 |
82 |
75.785580 |
1000 |
82 |
75.785580 |
1500 |
82 |
77.749680 |
2200 |
82 |
79.053460 |
2700 |
82 |
79.583030 |
3300 |
82 |
80.011830 |
3300 |
82 |
80.011830 |
3900 |
82 |
80.311400 |
4700 |
82 |
80.593890 |
5600 |
82 |
80.816610 |
5600 |
82 |
80.816610 |
6800 |
82 |
81.022960 |
8200 |
82 |
81.188120 |
8200 |
82 |
81.188120 |
12000 |
82 |
81.443470 |
12000 |
82 |
81.443470 |
15000 |
82 |
81.554170 |
15000 |
82 |
81.554170 |
18000 |
82 |
81.628140 |
18000 |
82 |
81.628140 |
22000 |
82 |
81.695500 |
27000 |
82 |
81.751720 |
27000 |
82 |
81.751720 |
33000 |
82 |
81.796750 |
39000 |
82 |
81.827950 |
47000 |
82 |
81.857190 |
68000 |
82 |
81.901240 |
82000 |
82 |
81.918080 |