1# Table was made with:
2#
3# seq -180 1 180 | awk '{print $1" "$1*3.14159265358979323846/180}' | awk '{printf "%20g %20g %20g\n", $1,
4#     9.2789 -12.156*cos($2) -13.12  *cos($2)^2       +3.0597          *cos($2)^3 +26.24          *cos($2)^4 +31.495          *cos($2)^5,
5# -1*(0.0    +12.156*sin($2) +13.12*2*sin($2)*cos($2) -3.0597*3*sin($2)*cos($2)^2 -26.24*4*sin($2)*cos($2)^3 -31.495*5*sin($2)*cos($2)^4)*3.14159265358979323846/180}'
6                -180               0.0002         -3.50958e-06
7                -179            0.0117364           -0.0230646
8                -178            0.0462849           -0.0460188
9                -177             0.103725           -0.0687729
10                -176             0.183725           -0.0911958
11                -175             0.285942            -0.113198
12                -174             0.409982            -0.134691
13                -173             0.555133            -0.155555
14                -172             0.720796            -0.175708
15                -171             0.906328            -0.195073
16                -170              1.11068            -0.213546
17                -169              1.33302             -0.23106
18                -168              1.57251            -0.247553
19                -167               1.8278            -0.262942
20                -166              2.09791            -0.277178
21                -165              2.38182            -0.290217
22                -164              2.67798            -0.302002
23                -163              2.98528            -0.312505
24                -162              3.30261            -0.321703
25                -161               3.6283            -0.329565
26                -160              3.96117            -0.336087
27                -159              4.30009            -0.341266
28                -158              4.64332              -0.3451
29                -157              4.98972            -0.347605
30                -156              5.33816            -0.348799
31                -155              5.68696            -0.348709
32                -154              6.03503            -0.347368
33                -153              6.38136            -0.344815
34                -152              6.72434            -0.341099
35                -151              7.06305            -0.336269
36                -150              7.39659            -0.330381
37                -149              7.72355            -0.323501
38                -148              8.04316            -0.315694
39                -147              8.35471            -0.307022
40                -146              8.65701             -0.29757
41                -145               8.9495            -0.287406
42                -144              9.23166              -0.2766
43                -143              9.50258            -0.265244
44                -142              9.76189            -0.253409
45                -141              10.0093            -0.241165
46                -140              10.2442            -0.228604
47                -139              10.4663            -0.215795
48                -138              10.6757            -0.202803
49                -137               10.872            -0.189716
50                -136              11.0551            -0.176593
51                -135              11.2252            -0.163492
52                -134              11.3821            -0.150489
53                -133              11.5262            -0.137633
54                -132              11.6575            -0.124966
55                -131              11.7762            -0.112551
56                -130              11.8826            -0.100421
57                -129              11.9772            -0.088605
58                -128                12.06           -0.0771457
59                -127              12.1315           -0.0660604
60                -126              12.1922           -0.0553611
61                -125              12.2424           -0.0450721
62                -124              12.2825           -0.0351936
63                -123              12.3129           -0.0257211
64                -122              12.3341           -0.0166606
65                -121              12.3464           -0.0079967
66                -120              12.3502          0.000285479
67                -119              12.3459            0.0082098
68                -118              12.3339            0.0157908
69                -117              12.3145            0.0230605
70                -116              12.2879            0.0300535
71                -115              12.2544            0.0367953
72                -114              12.2144            0.0433255
73                -113              12.1678            0.0496852
74                -112               12.115            0.0559055
75                -111              12.0561            0.0620291
76                -110               11.991            0.0680983
77                -109              11.9199            0.0741442
78                -108              11.8427            0.0802072
79                -107              11.7594            0.0863256
80                -106                11.67            0.0925247
81                -105              11.5744            0.0988373
82                -104              11.4723             0.105293
83                -103              11.3637             0.111905
84                -102              11.2485             0.118694
85                -101              11.1262             0.125676
86                -100               10.997             0.132848
87                 -99              10.8605             0.140216
88                 -98              10.7165             0.147777
89                 -97              10.5649             0.155511
90                 -96              10.4055             0.163403
91                 -95               10.238             0.171431
92                 -94              10.0626             0.179554
93                 -93              9.87895             0.187737
94                 -92              9.68703              0.19594
95                 -91              9.48705             0.204099
96                 -90              9.27894             0.212161
97                 -89              9.06273             0.220064
98                 -88              8.83886             0.227729
99                 -87              8.60746             0.235085
100                 -86              8.36877             0.242053
101                 -85              8.12347              0.24854
102                 -84              7.87197              0.25446
103                 -83              7.61472             0.259724
104                 -82              7.35273             0.264231
105                 -81              7.08664             0.267886
106                 -80              6.81722             0.270593
107                 -79              6.54575              0.27225
108                 -78               6.2732             0.272762
109                 -77              6.00059             0.272031
110                 -76              5.72953             0.269964
111                 -75              5.46124              0.26647
112                 -74              5.19705             0.261459
113                 -73               4.9388             0.254855
114                 -72              4.68799             0.246579
115                 -71              4.44618             0.236556
116                 -70              4.21543             0.224734
117                 -69              3.99742             0.211054
118                 -68              3.79392             0.195462
119                 -67              3.60709              0.17794
120                 -66              3.43876             0.158455
121                 -65              3.29082             0.136979
122                 -64              3.16543             0.113534
123                 -63              3.06446            0.0881168
124                 -62              2.98984            0.0607332
125                 -61               2.9436            0.0314479
126                 -60              2.92758          0.000292252
127                 -59              2.94364           -0.0326936
128                 -58              2.99354           -0.0673993
129                 -57              3.07898            -0.103762
130                 -56              3.20158            -0.141684
131                 -55              3.36283            -0.181048
132                 -54              3.56411            -0.221732
133                 -53              3.80668            -0.263602
134                 -52              4.09167            -0.306512
135                 -51                 4.42              -0.3503
136                 -50              4.79249            -0.394799
137                 -49              5.20979            -0.439836
138                 -48              5.67229            -0.485217
139                 -47              6.18026            -0.530751
140                 -46              6.73379             -0.57624
141                 -45              7.33267            -0.621471
142                 -44              7.97655            -0.666233
143                 -43              8.66488            -0.710312
144                 -42               9.3969            -0.753491
145                 -41              10.1715            -0.795545
146                 -40              10.9875            -0.836257
147                 -39              11.8435             -0.87541
148                 -38              12.7378            -0.912784
149                 -37              13.6684            -0.948167
150                 -36              14.6333            -0.981352
151                 -35              15.6303             -1.01214
152                 -34              16.6568             -1.04033
153                 -33                17.71             -1.06575
154                 -32              18.7873             -1.08821
155                 -31              19.8854             -1.10755
156                 -30              21.0013             -1.12362
157                 -29              22.1315             -1.13628
158                 -28              23.2727              -1.1454
159                 -27              24.4211             -1.15088
160                 -26              25.5732             -1.15263
161                 -25              26.7251             -1.15055
162                 -24               27.873             -1.14461
163                 -23               29.013             -1.13474
164                 -22              30.1412             -1.12093
165                 -21              31.2536             -1.10317
166                 -20              32.3462             -1.08149
167                 -19              33.4152             -1.05589
168                 -18              34.4567             -1.02645
169                 -17              35.4669            -0.993229
170                 -16              36.4419            -0.956317
171                 -15              37.3783            -0.915818
172                 -14              38.2724            -0.871864
173                 -13              39.1209            -0.824594
174                 -12              39.9205            -0.774168
175                 -11              40.6683            -0.720759
176                 -10              41.3611            -0.664564
177                  -9              41.9965            -0.605784
178                  -8              42.5719            -0.544635
179                  -7              43.0851            -0.481355
180                  -6               43.534            -0.416182
181                  -5              43.9169            -0.349366
182                  -4              44.2323            -0.281169
183                  -3              44.4789            -0.211859
184                  -2              44.6557            -0.141708
185                  -1              44.7621           -0.0709953
186                   0              44.7976                   -0
187                   1              44.7621            0.0709953
188                   2              44.6557             0.141708
189                   3              44.4789             0.211859
190                   4              44.2323             0.281169
191                   5              43.9169             0.349366
192                   6               43.534             0.416182
193                   7              43.0851             0.481355
194                   8              42.5719             0.544635
195                   9              41.9965             0.605784
196                  10              41.3611             0.664564
197                  11              40.6683             0.720759
198                  12              39.9205             0.774168
199                  13              39.1209             0.824594
200                  14              38.2724             0.871864
201                  15              37.3783             0.915818
202                  16              36.4419             0.956317
203                  17              35.4669             0.993229
204                  18              34.4567              1.02645
205                  19              33.4152              1.05589
206                  20              32.3462              1.08149
207                  21              31.2536              1.10317
208                  22              30.1412              1.12093
209                  23               29.013              1.13474
210                  24               27.873              1.14461
211                  25              26.7251              1.15055
212                  26              25.5732              1.15263
213                  27              24.4211              1.15088
214                  28              23.2727               1.1454
215                  29              22.1315              1.13628
216                  30              21.0013              1.12362
217                  31              19.8854              1.10755
218                  32              18.7873              1.08821
219                  33                17.71              1.06575
220                  34              16.6568              1.04033
221                  35              15.6303              1.01214
222                  36              14.6333             0.981352
223                  37              13.6684             0.948167
224                  38              12.7378             0.912784
225                  39              11.8435              0.87541
226                  40              10.9875             0.836257
227                  41              10.1715             0.795545
228                  42               9.3969             0.753491
229                  43              8.66488             0.710312
230                  44              7.97655             0.666233
231                  45              7.33267             0.621471
232                  46              6.73379              0.57624
233                  47              6.18026             0.530751
234                  48              5.67229             0.485217
235                  49              5.20979             0.439836
236                  50              4.79249             0.394799
237                  51                 4.42               0.3503
238                  52              4.09167             0.306512
239                  53              3.80668             0.263602
240                  54              3.56411             0.221732
241                  55              3.36283             0.181048
242                  56              3.20158             0.141684
243                  57              3.07898             0.103762
244                  58              2.99354            0.0673993
245                  59              2.94364            0.0326936
246                  60              2.92758         -0.000292252
247                  61               2.9436           -0.0314479
248                  62              2.98984           -0.0607332
249                  63              3.06446           -0.0881168
250                  64              3.16543            -0.113534
251                  65              3.29082            -0.136979
252                  66              3.43876            -0.158455
253                  67              3.60709             -0.17794
254                  68              3.79392            -0.195462
255                  69              3.99742            -0.211054
256                  70              4.21543            -0.224734
257                  71              4.44618            -0.236556
258                  72              4.68799            -0.246579
259                  73               4.9388            -0.254855
260                  74              5.19705            -0.261459
261                  75              5.46124             -0.26647
262                  76              5.72953            -0.269964
263                  77              6.00059            -0.272031
264                  78               6.2732            -0.272762
265                  79              6.54575             -0.27225
266                  80              6.81722            -0.270593
267                  81              7.08664            -0.267886
268                  82              7.35273            -0.264231
269                  83              7.61472            -0.259724
270                  84              7.87197             -0.25446
271                  85              8.12347             -0.24854
272                  86              8.36877            -0.242053
273                  87              8.60746            -0.235085
274                  88              8.83886            -0.227729
275                  89              9.06273            -0.220064
276                  90              9.27894            -0.212161
277                  91              9.48705            -0.204099
278                  92              9.68703             -0.19594
279                  93              9.87895            -0.187737
280                  94              10.0626            -0.179554
281                  95               10.238            -0.171431
282                  96              10.4055            -0.163403
283                  97              10.5649            -0.155511
284                  98              10.7165            -0.147777
285                  99              10.8605            -0.140216
286                 100               10.997            -0.132848
287                 101              11.1262            -0.125676
288                 102              11.2485            -0.118694
289                 103              11.3637            -0.111905
290                 104              11.4723            -0.105293
291                 105              11.5744           -0.0988373
292                 106                11.67           -0.0925247
293                 107              11.7594           -0.0863256
294                 108              11.8427           -0.0802072
295                 109              11.9199           -0.0741442
296                 110               11.991           -0.0680983
297                 111              12.0561           -0.0620291
298                 112               12.115           -0.0559055
299                 113              12.1678           -0.0496852
300                 114              12.2144           -0.0433255
301                 115              12.2544           -0.0367953
302                 116              12.2879           -0.0300535
303                 117              12.3145           -0.0230605
304                 118              12.3339           -0.0157908
305                 119              12.3459           -0.0082098
306                 120              12.3502         -0.000285479
307                 121              12.3464            0.0079967
308                 122              12.3341            0.0166606
309                 123              12.3129            0.0257211
310                 124              12.2825            0.0351936
311                 125              12.2424            0.0450721
312                 126              12.1922            0.0553611
313                 127              12.1315            0.0660604
314                 128                12.06            0.0771457
315                 129              11.9772             0.088605
316                 130              11.8826             0.100421
317                 131              11.7762             0.112551
318                 132              11.6575             0.124966
319                 133              11.5262             0.137633
320                 134              11.3821             0.150489
321                 135              11.2252             0.163492
322                 136              11.0551             0.176593
323                 137               10.872             0.189716
324                 138              10.6757             0.202803
325                 139              10.4663             0.215795
326                 140              10.2442             0.228604
327                 141              10.0093             0.241165
328                 142              9.76189             0.253409
329                 143              9.50258             0.265244
330                 144              9.23166               0.2766
331                 145               8.9495             0.287406
332                 146              8.65701              0.29757
333                 147              8.35471             0.307022
334                 148              8.04316             0.315694
335                 149              7.72355             0.323501
336                 150              7.39659             0.330381
337                 151              7.06305             0.336269
338                 152              6.72434             0.341099
339                 153              6.38136             0.344815
340                 154              6.03503             0.347368
341                 155              5.68696             0.348709
342                 156              5.33816             0.348799
343                 157              4.98972             0.347605
344                 158              4.64332               0.3451
345                 159              4.30009             0.341266
346                 160              3.96117             0.336087
347                 161               3.6283             0.329565
348                 162              3.30261             0.321703
349                 163              2.98528             0.312505
350                 164              2.67798             0.302002
351                 165              2.38182             0.290217
352                 166              2.09791             0.277178
353                 167               1.8278             0.262942
354                 168              1.57251             0.247553
355                 169              1.33302              0.23106
356                 170              1.11068             0.213546
357                 171             0.906328             0.195073
358                 172             0.720796             0.175708
359                 173             0.555133             0.155555
360                 174             0.409982             0.134691
361                 175             0.285942             0.113198
362                 176             0.183725            0.0911958
363                 177             0.103725            0.0687729
364                 178            0.0462849            0.0460188
365                 179            0.0117364            0.0230646
366                 180               0.0002          3.50958e-06
367