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# Fourier Analysis of PNBC (PRINCETON NATIONAL)

PNBC (PRINCETON NATIONAL) appears to have interesting cyclic behaviour every 78 weeks (.5177*sine), 124 weeks (.4812*cosine), and 124 weeks (.415*sine).

PNBC (PRINCETON NATIONAL) has an average price of 11.25 (topmost row, frequency = 0).

Click on the checkboxes shown on the right to see how the various frequencies contribute to the graph. Look for large magnitude coefficients (sine or cosine), as these are associated with frequencies which contribute most to the associated stock plot. If you find a large magnitude coefficient which dramatically changes the graph, look at the associated "Period" in weeks, as you may have found a significant recurring cycle for the stock of interest.

## Fourier Analysis

Using data from 5/8/1992 to 3/20/2017 for PNBC (PRINCETON NATIONAL), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
011.25082   0
1-11.40712 1.51017 (1*2π)/12401,240 weeks
23.64097 4.50446 (2*2π)/1240620 weeks
3-1.0678 -1.56654 (3*2π)/1240413 weeks
4-.13868 -.02141 (4*2π)/1240310 weeks
5.69744 .80383 (5*2π)/1240248 weeks
6-.13871 .58104 (6*2π)/1240207 weeks
7-.66929 .2151 (7*2π)/1240177 weeks
8-.04384 .22176 (8*2π)/1240155 weeks
9.46767 -.18947 (9*2π)/1240138 weeks
10-.48116 .41499 (10*2π)/1240124 weeks
11-.02479 .09363 (11*2π)/1240113 weeks
12-.20064 -.05539 (12*2π)/1240103 weeks
13.17186 .09594 (13*2π)/124095 weeks
14.13871 -.13488 (14*2π)/124089 weeks
15-.24697 .1114 (15*2π)/124083 weeks
16.26561 .51774 (16*2π)/124078 weeks
17-.07417 -.34164 (17*2π)/124073 weeks
18-.33015 .13409 (18*2π)/124069 weeks
19.21563 .11946 (19*2π)/124065 weeks
20.07818 -.12831 (20*2π)/124062 weeks
21-.05326 .1398 (21*2π)/124059 weeks
22.01526 .06233 (22*2π)/124056 weeks
23-.01939 -.10704 (23*2π)/124054 weeks
24.0771 .20496 (24*2π)/124052 weeks
25.09681 .05061 (25*2π)/124050 weeks
26-.03414 -.10284 (26*2π)/124048 weeks
27-.04419 .14674 (27*2π)/124046 weeks
28.05621 .18156 (28*2π)/124044 weeks
29.10728 -.09612 (29*2π)/124043 weeks
30-.13248 .03084 (30*2π)/124041 weeks
31.04359 .15363 (31*2π)/124040 weeks
32.08547 -.04342 (32*2π)/124039 weeks
33-.05114 .04653 (33*2π)/124038 weeks
34.07727 .2058 (34*2π)/124036 weeks
35.00579 -.08203 (35*2π)/124035 weeks
36-.17535 .06863 (36*2π)/124034 weeks
37.13956 .12378 (37*2π)/124034 weeks
38.02978 -.06899 (38*2π)/124033 weeks
39-.1327 .12743 (39*2π)/124032 weeks
40.06288 -.00699 (40*2π)/124031 weeks
41-.03072 .01717 (41*2π)/124030 weeks
42-.01988 .03128 (42*2π)/124030 weeks
43.07058 .05131 (43*2π)/124029 weeks
44-.06672 .00698 (44*2π)/124028 weeks
45.04453 .02099 (45*2π)/124028 weeks
46-.07731 .01307 (46*2π)/124027 weeks
47.05939 .0652 (47*2π)/124026 weeks
48.05019 -.02235 (48*2π)/124026 weeks
49-.06792 -.00139 (49*2π)/124025 weeks
50.04634 .10224 (50*2π)/124025 weeks
51-.04233 .01842 (51*2π)/124024 weeks
52.02394 -.05812 (52*2π)/124024 weeks
53.00904 .05669 (53*2π)/124023 weeks
54.01396 .02188 (54*2π)/124023 weeks
55.04203 .01883 (55*2π)/124023 weeks
56-.07588 .01654 (56*2π)/124022 weeks
57.06727 .04933 (57*2π)/124022 weeks
58.06144 -.05352 (58*2π)/124021 weeks
59-.03985 .11415 (59*2π)/124021 weeks
60-.01499 .08895 (60*2π)/124021 weeks
61-.0031 -.12604 (61*2π)/124020 weeks
62-.03223 .08145 (62*2π)/124020 weeks
63.11103 .0544 (63*2π)/124020 weeks
64-.01015 -.06127 (64*2π)/124019 weeks
65-.10522 .12466 (65*2π)/124019 weeks
66.08716 .02117 (66*2π)/124019 weeks
67-.01356 -.07321 (67*2π)/124019 weeks
68-.04237 .05339 (68*2π)/124018 weeks
69.06421 .0865 (69*2π)/124018 weeks
70-.02142 -.07064 (70*2π)/124018 weeks
71-.06588 .03969 (71*2π)/124017 weeks
72.08708 .04054 (72*2π)/124017 weeks
73.01296 -.04933 (73*2π)/124017 weeks
74-.06009 .06269 (74*2π)/124017 weeks
75.04205 .02997 (75*2π)/124017 weeks
76-.00588 -.05127 (76*2π)/124016 weeks
77.03073 .03285 (77*2π)/124016 weeks
78.04057 .06594 (78*2π)/124016 weeks
79-.04279 -.01527 (79*2π)/124016 weeks
80-.03796 .03584 (80*2π)/124016 weeks
81.08161 -.03065 (81*2π)/124015 weeks
82.0073 .02058 (82*2π)/124015 weeks
83-.01568 .07164 (83*2π)/124015 weeks
84.02673 -.03503 (84*2π)/124015 weeks
85-.02311 .02759 (85*2π)/124015 weeks
86.04382 .05276 (86*2π)/124014 weeks
87.0321 -.009 (87*2π)/124014 weeks
88-.05966 .03288 (88*2π)/124014 weeks
89.00865 .05609 (89*2π)/124014 weeks
90.03694 -.05646 (90*2π)/124014 weeks
91-.02641 .07609 (91*2π)/124014 weeks
92.01853 .02743 (92*2π)/124013 weeks
93-.02263 -.04592 (93*2π)/124013 weeks
94-.02229 .06432 (94*2π)/124013 weeks
95.03822 -.02272 (95*2π)/124013 weeks
96.004 .02462 (96*2π)/124013 weeks
97-.03103 -.00636 (97*2π)/124013 weeks
98.04413 .00154 (98*2π)/124013 weeks
99-.00383 .01273 (99*2π)/124013 weeks
100.03528 .05663 (100*2π)/124012 weeks
101-.00558 .0038 (101*2π)/124012 weeks
102-.04567 -.01773 (102*2π)/124012 weeks
103.01979 .03633 (103*2π)/124012 weeks
104.04296 .00925 (104*2π)/124012 weeks
105-.0235 -.04097 (105*2π)/124012 weeks
106.02205 .05131 (106*2π)/124012 weeks
107.01639 .03111 (107*2π)/124012 weeks
108.03471 -.03118 (108*2π)/124011 weeks
109-.03513 .05426 (109*2π)/124011 weeks
110.03117 .04365 (110*2π)/124011 weeks
111.0034 -.03392 (111*2π)/124011 weeks
112-.02759 .03679 (112*2π)/124011 weeks
113.05316 .01758 (113*2π)/124011 weeks
114-.0154 .00683 (114*2π)/124011 weeks
115-.01896 .06064 (115*2π)/124011 weeks
116.0515 -.01728 (116*2π)/124011 weeks
117-.07056 -.01174 (117*2π)/124011 weeks
118.05072 .07412 (118*2π)/124011 weeks
119.00021 .00852 (119*2π)/124010 weeks
120-.03831 -.01793 (120*2π)/124010 weeks
121-.00692 .00227 (121*2π)/124010 weeks
122.03524 .04122 (122*2π)/124010 weeks
123-.00706 -.00955 (123*2π)/124010 weeks
124-.01333 .00951 (124*2π)/124010 weeks
125-.00236 .02662 (125*2π)/124010 weeks
126-.00573 -.02893 (126*2π)/124010 weeks
127.02217 -.01175 (127*2π)/124010 weeks
128.04394 .06556 (128*2π)/124010 weeks
129-.04348 -.0257 (129*2π)/124010 weeks
130.00112 .03977 (130*2π)/124010 weeks
131.02513 -.01768 (131*2π)/12409 weeks
132.01357 -.01794 (132*2π)/12409 weeks
133-.01901 .04863 (133*2π)/12409 weeks
134.04694 .03758 (134*2π)/12409 weeks
135-.01956 -.0361 (135*2π)/12409 weeks
136-.00805 .00735 (136*2π)/12409 weeks
137.03532 .03474 (137*2π)/12409 weeks
138.00031 .02797 (138*2π)/12409 weeks
139.01738 -.00326 (139*2π)/12409 weeks
140-.03057 .01563 (140*2π)/12409 weeks
141.00853 .01373 (141*2π)/12409 weeks
142.02575 .02843 (142*2π)/12409 weeks
143-.0113 -.00575 (143*2π)/12409 weeks
144-.00391 .03699 (144*2π)/12409 weeks
145-.01706 .00582 (145*2π)/12409 weeks
146.00956 -.00946 (146*2π)/12408 weeks
147-.0009 .01422 (147*2π)/12408 weeks
148.00767 .02609 (148*2π)/12408 weeks
149.0028 -.00449 (149*2π)/12408 weeks
150-.05022 .02481 (150*2π)/12408 weeks
151.04714 -.01017 (151*2π)/12408 weeks
152-.02829 -.01684 (152*2π)/12408 weeks
153-.00194 .02481 (153*2π)/12408 weeks
154.04602 .01021 (154*2π)/12408 weeks
155-.0337 -.02899 (155*2π)/12408 weeks
156.02204 .04757 (156*2π)/12408 weeks
157-.01305 -.00636 (157*2π)/12408 weeks
158.00583 -.00503 (158*2π)/12408 weeks
159.02253 -.00103 (159*2π)/12408 weeks
160-.00552 .02436 (160*2π)/12408 weeks
161-.02228 .0049 (161*2π)/12408 weeks
162.03222 -.02124 (162*2π)/12408 weeks
163.02315 .02173 (163*2π)/12408 weeks
164-.01779 -.00535 (164*2π)/12408 weeks
165.02354 .02592 (165*2π)/12408 weeks
166-.00263 .01985 (166*2π)/12407 weeks
167.00942 -.01783 (167*2π)/12407 weeks
168-.00902 .01552 (168*2π)/12407 weeks
169.02291 .00864 (169*2π)/12407 weeks
170.00115 .00828 (170*2π)/12407 weeks
171.01419 .01544 (171*2π)/12407 weeks
172.00513 .015 (172*2π)/12407 weeks
173-.01536 .01228 (173*2π)/12407 weeks
174.00239 .00217 (174*2π)/12407 weeks
175.01573 -.00504 (175*2π)/12407 weeks
176-.00356 .01983 (176*2π)/12407 weeks
177.02482 .02384 (177*2π)/12407 weeks
178-.01579 -.01941 (178*2π)/12407 weeks
179-.00833 .04105 (179*2π)/12407 weeks
180.02139 -.00311 (180*2π)/12407 weeks
181-.00565 .00431 (181*2π)/12407 weeks
182-.00488 .01289 (182*2π)/12407 weeks
183.00816 -.00465 (183*2π)/12407 weeks
184-.00423 .03013 (184*2π)/12407 weeks
185.00379 .00268 (185*2π)/12407 weeks
186.0008 .00604 (186*2π)/12407 weeks
187-.0168 -.01062 (187*2π)/12407 weeks
188-.01429 .01927 (188*2π)/12407 weeks
189.03284 .00471 (189*2π)/12407 weeks
190-.00362 -.02439 (190*2π)/12407 weeks
191-.02212 -.00035 (191*2π)/12406 weeks
192.01563 .02814 (192*2π)/12406 weeks
193.05211 -.01931 (193*2π)/12406 weeks
194-.03405 .00466 (194*2π)/12406 weeks
195-.01738 .0266 (195*2π)/12406 weeks
196.05082 -.00907 (196*2π)/12406 weeks
197-.00336 -.02876 (197*2π)/12406 weeks
198-.01157 .05097 (198*2π)/12406 weeks
199.04135 -.00999 (199*2π)/12406 weeks
200-.02237 -.00054 (200*2π)/12406 weeks
201.01813 .02744 (201*2π)/12406 weeks
202.01446 -.01525 (202*2π)/12406 weeks
203-.01474 .00892 (203*2π)/12406 weeks
204.0158 .02129 (204*2π)/12406 weeks
205.02368 .00398 (205*2π)/12406 weeks
206-.01084 -.0009 (206*2π)/12406 weeks
207.00385 .00643 (207*2π)/12406 weeks
208.00636 .03125 (208*2π)/12406 weeks
209.02173 -.00524 (209*2π)/12406 weeks
210-.0154 .01071 (210*2π)/12406 weeks
211-.00569 .01179 (211*2π)/12406 weeks
212.02274 -.00496 (212*2π)/12406 weeks
213.00141 .01516 (213*2π)/12406 weeks
214-.01728 .01374 (214*2π)/12406 weeks
215.02702 .01215 (215*2π)/12406 weeks
216-.01073 -.01265 (216*2π)/12406 weeks
217-.00193 .00462 (217*2π)/12406 weeks
218-.01194 .02722 (218*2π)/12406 weeks
219.04321 -.00805 (219*2π)/12406 weeks
220-.01955 -.00769 (220*2π)/12406 weeks
221.00606 .00837 (221*2π)/12406 weeks
222-.00543 .02493 (222*2π)/12406 weeks
223.01963 -.01693 (223*2π)/12406 weeks
224.01915 .01697 (224*2π)/12406 weeks
225-.01158 .00231 (225*2π)/12406 weeks
226-.01054 .00708 (226*2π)/12405 weeks
227.0231 .01469 (227*2π)/12405 weeks
228.01671 -.00795 (228*2π)/12405 weeks
229-.00854 .01582 (229*2π)/12405 weeks
230.00005 .00307 (230*2π)/12405 weeks
231.03 .01675 (231*2π)/12405 weeks
232-.02532 .01591 (232*2π)/12405 weeks
233.01754 .00013 (233*2π)/12405 weeks
234-.00252 .01575 (234*2π)/12405 weeks
235-.0037 .00213 (235*2π)/12405 weeks
236.00236 .00294 (236*2π)/12405 weeks
237-.00943 .01692 (237*2π)/12405 weeks
238.01696 -.0026 (238*2π)/12405 weeks
239.00257 .00125 (239*2π)/12405 weeks
240-.01068 .00881 (240*2π)/12405 weeks
241.0066 .00563 (241*2π)/12405 weeks
242-.00324 .00755 (242*2π)/12405 weeks
243.02587 .01467 (243*2π)/12405 weeks
244-.02125 -.02282 (244*2π)/12405 weeks
245-.00795 .0199 (245*2π)/12405 weeks
246.01832 .01302 (246*2π)/12405 weeks
247.02082 -.0084 (247*2π)/12405 weeks
248-.025 -.0033 (248*2π)/12405 weeks
249-.00031 .02708 (249*2π)/12405 weeks
250.02919 -.01582 (250*2π)/12405 weeks
251-.02062 -.00149 (251*2π)/12405 weeks
252.02246 .02297 (252*2π)/12405 weeks
253.0081 -.01777 (253*2π)/12405 weeks
254-.00104 .0274 (254*2π)/12405 weeks
255.00933 .00346 (255*2π)/12405 weeks
256.00493 .00593 (256*2π)/12405 weeks
257-.00841 .01554 (257*2π)/12405 weeks
258.00816 .01861 (258*2π)/12405 weeks
259-.01833 -.02562 (259*2π)/12405 weeks
260.00917 .01904 (260*2π)/12405 weeks
261.01208 .01457 (261*2π)/12405 weeks
262-.01827 -.00997 (262*2π)/12405 weeks
263-.00157 -.00799 (263*2π)/12405 weeks
264.01472 .01518 (264*2π)/12405 weeks
265.0152 -.02215 (265*2π)/12405 weeks
266-.00869 .02831 (266*2π)/12405 weeks
267.01912 .00603 (267*2π)/12405 weeks
268-.00995 -.00853 (268*2π)/12405 weeks
269.00932 .01317 (269*2π)/12405 weeks
270.00638 .01048 (270*2π)/12405 weeks
271-.01549 .00608 (271*2π)/12405 weeks
272-.00044 -.00893 (272*2π)/12405 weeks
273.01868 .00214 (273*2π)/12405 weeks
274.00282 -.02199 (274*2π)/12405 weeks
275-.0066 .03368 (275*2π)/12405 weeks
276.03072 -.00221 (276*2π)/12404 weeks
277.01736 -.00014 (277*2π)/12404 weeks
278-.03201 .01212 (278*2π)/12404 weeks
279.01677 .01601 (279*2π)/12404 weeks
280.00461 .00423 (280*2π)/12404 weeks
281-.00388 -.00852 (281*2π)/12404 weeks
282.02025 .01115 (282*2π)/12404 weeks
283-.02589 -.01402 (283*2π)/12404 weeks
284.03134 .03483 (284*2π)/12404 weeks
285-.00026 .00237 (285*2π)/12404 weeks
286.00032 -.00836 (286*2π)/12404 weeks
287-.0087 .01488 (287*2π)/12404 weeks
288.00172 .00075 (288*2π)/12404 weeks
289.00873 .01177 (289*2π)/12404 weeks
290.00161 -.00397 (290*2π)/12404 weeks
291.0028 -.00379 (291*2π)/12404 weeks
292-.0036 .01731 (292*2π)/12404 weeks
293.00961 .00303 (293*2π)/12404 weeks
294-.01414 -.01079 (294*2π)/12404 weeks
295.02117 .0162 (295*2π)/12404 weeks
296.00351 .0059 (296*2π)/12404 weeks
297-.00854 -.01987 (297*2π)/12404 weeks
298-.00593 .02587 (298*2π)/12404 weeks
299.01218 .00655 (299*2π)/12404 weeks
300.02184 -.031 (300*2π)/12404 weeks
301-.01983 .022 (301*2π)/12404 weeks
302.01595 .00904 (302*2π)/12404 weeks
303-.00392 -.00224 (303*2π)/12404 weeks
304.00815 .01037 (304*2π)/12404 weeks
305.01104 -.0169 (305*2π)/12404 weeks
306-.00159 .00693 (306*2π)/12404 weeks
307-.00134 .02972 (307*2π)/12404 weeks
308.01619 -.01053 (308*2π)/12404 weeks
309-.0103 -.01231 (309*2π)/12404 weeks
310.01415 .01902 (310*2π)/12404 weeks
311.00566 .00043 (311*2π)/12404 weeks
312-.0048 .00134 (312*2π)/12404 weeks
313.01274 .01013 (313*2π)/12404 weeks
314-.00325 -.00658 (314*2π)/12404 weeks
315.02022 .01042 (315*2π)/12404 weeks
316-.00314 -.0003 (316*2π)/12404 weeks
317.00145 .01121 (317*2π)/12404 weeks
318.02152 .01329 (318*2π)/12404 weeks
319-.01824 .00763 (319*2π)/12404 weeks
320.00298 -.00253 (320*2π)/12404 weeks
321.01716 -.00153 (321*2π)/12404 weeks
322-.00642 .00581 (322*2π)/12404 weeks
323-.0025 .03881 (323*2π)/12404 weeks
324.00815 -.01782 (324*2π)/12404 weeks
325-.00481 -.01372 (325*2π)/12404 weeks
326-.00995 .01737 (326*2π)/12404 weeks
327.02396 .01012 (327*2π)/12404 weeks
328-.00751 -.00658 (328*2π)/12404 weeks
329.00486 .01581 (329*2π)/12404 weeks
330-.00314 -.01942 (330*2π)/12404 weeks
331-.00485 .02147 (331*2π)/12404 weeks
332.0246 -.00738 (332*2π)/12404 weeks
333-.00574 .0163 (333*2π)/12404 weeks
334-.00383 .00643 (334*2π)/12404 weeks
335-.00041 -.01135 (335*2π)/12404 weeks
336.00171 .00245 (336*2π)/12404 weeks
337.00938 .02397 (337*2π)/12404 weeks
338-.00546 -.00611 (338*2π)/12404 weeks
339-.01126 -.01244 (339*2π)/12404 weeks
340.00945 .00145 (340*2π)/12404 weeks
341.02113 .00196 (341*2π)/12404 weeks
342-.00836 .01131 (342*2π)/12404 weeks
343.00123 .00241 (343*2π)/12404 weeks
344.01375 .00622 (344*2π)/12404 weeks
345-.01348 -.01923 (345*2π)/12404 weeks
346.00404 .03164 (346*2π)/12404 weeks
347.01096 -.00731 (347*2π)/12404 weeks
348-.00945 -.01552 (348*2π)/12404 weeks
349.01145 .00995 (349*2π)/12404 weeks
350.00563 -.00598 (350*2π)/12404 weeks
351.01312 .01524 (351*2π)/12404 weeks
352-.00732 .01144 (352*2π)/12404 weeks
353.00795 -.0095 (353*2π)/12404 weeks
354-.00862 -.00502 (354*2π)/12404 weeks
355.01589 .02029 (355*2π)/12403 weeks
356.00189 -.00368 (356*2π)/12403 weeks
357-.01473 .01566 (357*2π)/12403 weeks
358.00781 -.01978 (358*2π)/12403 weeks
359.00625 -.00946 (359*2π)/12403 weeks
360-.00207 .01542 (360*2π)/12403 weeks
361.02053 .01263 (361*2π)/12403 weeks
362-.01058 -.01398 (362*2π)/12403 weeks
363.01902 -.0116 (363*2π)/12403 weeks
364-.00005 .01686 (364*2π)/12403 weeks
365.0032 .03168 (365*2π)/12403 weeks
366.00543 -.01403 (366*2π)/12403 weeks
367-.0112 -.00542 (367*2π)/12403 weeks
368-.00377 -.00415 (368*2π)/12403 weeks
369.01324 .00738 (369*2π)/12403 weeks
370.01314 .00514 (370*2π)/12403 weeks
371.00127 -.00546 (371*2π)/12403 weeks
372-.00485 -.00365 (372*2π)/12403 weeks
373-.00038 .01456 (373*2π)/12403 weeks
374.03449 -.00829 (374*2π)/12403 weeks
375-.01743 .00726 (375*2π)/12403 weeks
376.00209 .01599 (376*2π)/12403 weeks
377.00694 -.01132 (377*2π)/12403 weeks
378-.00453 -.00373 (378*2π)/12403 weeks
379.01042 .01239 (379*2π)/12403 weeks
380.00716 -.01939 (380*2π)/12403 weeks
381.00619 .02271 (381*2π)/12403 weeks
382.02241 .0006 (382*2π)/12403 weeks
383-.01432 .0034 (383*2π)/12403 weeks
384-.0113 .01373 (384*2π)/12403 weeks
385.0212 -.00487 (385*2π)/12403 weeks
386.00231 .00607 (386*2π)/12403 weeks
387-.00843 -.02249 (387*2π)/12403 weeks
388.00434 .03116 (388*2π)/12403 weeks
389.02285 -.00609 (389*2π)/12403 weeks
390-.00648 -.00061 (390*2π)/12403 weeks
391-.00455 .00832 (391*2π)/12403 weeks
392.00815 .00169 (392*2π)/12403 weeks
393-.0026 -.00285 (393*2π)/12403 weeks
394.00034 .00283 (394*2π)/12403 weeks
395.01964 .00004 (395*2π)/12403 weeks
396.00043 -.00487 (396*2π)/12403 weeks
397.0031 .01991 (397*2π)/12403 weeks
398-.00539 .00047 (398*2π)/12403 weeks
399.00706 -.00841 (399*2π)/12403 weeks
400.01325 .00672 (400*2π)/12403 weeks
401-.00676 .0127 (401*2π)/12403 weeks
402.00303 -.00705 (402*2π)/12403 weeks
403-.00866 -.00331 (403*2π)/12403 weeks
404.02 .00493 (404*2π)/12403 weeks
405.00973 .01357 (405*2π)/12403 weeks
406-.00397 -.01642 (406*2π)/12403 weeks
407-.00996 .011 (407*2π)/12403 weeks
408.00765 .0115 (408*2π)/12403 weeks
409.02544 -.0115 (409*2π)/12403 weeks
410-.01141 -.00032 (410*2π)/12403 weeks
411-.00236 .00998 (411*2π)/12403 weeks
412.02452 .01334 (412*2π)/12403 weeks
413-.02264 -.01124 (413*2π)/12403 weeks
414.01161 .02323 (414*2π)/12403 weeks
415.00579 -.02535 (415*2π)/12403 weeks
416-.00407 .00989 (416*2π)/12403 weeks
417-.00173 .00921 (417*2π)/12403 weeks
418.0139 -.00342 (418*2π)/12403 weeks
419-.00089 .00023 (419*2π)/12403 weeks
420-.00327 -.01403 (420*2π)/12403 weeks
421.01117 .01575 (421*2π)/12403 weeks
422.00654 -.00998 (422*2π)/12403 weeks
423.01472 .00928 (423*2π)/12403 weeks
424-.00293 .01054 (424*2π)/12403 weeks
425.00437 -.00775 (425*2π)/12403 weeks
426.00685 .00497 (426*2π)/12403 weeks
427-.00142 .01018 (427*2π)/12403 weeks
428.01549 .0105 (428*2π)/12403 weeks
429-.01228 -.00336 (429*2π)/12403 weeks
430.00446 .00071 (430*2π)/12403 weeks
431-.00348 -.00126 (431*2π)/12403 weeks
432.00549 .01612 (432*2π)/12403 weeks
433.01235 -.00691 (433*2π)/12403 weeks
434-.00818 .00162 (434*2π)/12403 weeks
435-.01235 .00159 (435*2π)/12403 weeks
436.01071 -.00337 (436*2π)/12403 weeks
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