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# Fourier Analysis of PIN (PowerShares India Portfolio)

PIN (PowerShares India Portfolio) appears to have interesting cyclic behaviour every 38 weeks (.3982*sine), 38 weeks (.3404*cosine), and 53 weeks (.277*sine).

PIN (PowerShares India Portfolio) has an average price of 19.42 (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.

Right click on the graph above to see the menu of operations (download, full screen, etc.)

## Fourier Analysis

Using data from 3/5/2008 to 4/16/2018 for PIN (PowerShares India Portfolio), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
019.41689   0
11.19868 -.72542 (1*2π)/529529 weeks
2-.96441 -1.24458 (2*2π)/529265 weeks
31.79429 -2.40006 (3*2π)/529176 weeks
41.1993 -1.76337 (4*2π)/529132 weeks
5.38717 -.19006 (5*2π)/529106 weeks
61.20557 -.53806 (6*2π)/52988 weeks
7.58307 .21092 (7*2π)/52976 weeks
8.33352 .29398 (8*2π)/52966 weeks
9-.33189 .39678 (9*2π)/52959 weeks
10-.07704 .27698 (10*2π)/52953 weeks
11-.10874 .09683 (11*2π)/52948 weeks
12-.02246 -.2364 (12*2π)/52944 weeks
13-.11726 .04945 (13*2π)/52941 weeks
14-.34041 -.39819 (14*2π)/52938 weeks
15-.03492 -.23883 (15*2π)/52935 weeks
16.0983 .25327 (16*2π)/52933 weeks
17-.22371 -.09607 (17*2π)/52931 weeks
18.10051 .03607 (18*2π)/52929 weeks
19.01499 -.07738 (19*2π)/52928 weeks
20.04137 -.03229 (20*2π)/52926 weeks
21-.11819 -.02953 (21*2π)/52925 weeks
22-.10617 -.19181 (22*2π)/52924 weeks
23.14117 .06528 (23*2π)/52923 weeks
24-.045 .1518 (24*2π)/52922 weeks
25.1665 .2237 (25*2π)/52921 weeks
26.0387 .20252 (26*2π)/52920 weeks
27-.1394 .08262 (27*2π)/52920 weeks
28-.14582 .26143 (28*2π)/52919 weeks
29-.08728 .11272 (29*2π)/52918 weeks
30-.19829 -.08434 (30*2π)/52918 weeks
31-.14123 .06093 (31*2π)/52917 weeks
32-.26854 -.10569 (32*2π)/52917 weeks
33.07423 -.1473 (33*2π)/52916 weeks
34-.10724 -.00324 (34*2π)/52916 weeks
35-.08303 -.12033 (35*2π)/52915 weeks
36.03894 -.00354 (36*2π)/52915 weeks
37-.20134 -.08078 (37*2π)/52914 weeks
38-.06648 -.18895 (38*2π)/52914 weeks
39.19437 -.11232 (39*2π)/52914 weeks
40.12807 .14593 (40*2π)/52913 weeks
41-.05277 -.15914 (41*2π)/52913 weeks
42-.01473 -.12653 (42*2π)/52913 weeks
43.02751 -.04905 (43*2π)/52912 weeks
44.11908 .02498 (44*2π)/52912 weeks
45.03512 -.1316 (45*2π)/52912 weeks
46-.13222 -.08467 (46*2π)/52912 weeks
47.13715 .00526 (47*2π)/52911 weeks
48-.05875 -.13907 (48*2π)/52911 weeks
49.03248 -.05384 (49*2π)/52911 weeks
50-.03897 -.02906 (50*2π)/52911 weeks
51-.02992 -.00832 (51*2π)/52910 weeks
52-.01413 .06554 (52*2π)/52910 weeks
53-.00994 -.07525 (53*2π)/52910 weeks
54-.05071 -.1157 (54*2π)/52910 weeks
55.00947 .01902 (55*2π)/52910 weeks
56.00403 -.0431 (56*2π)/5299 weeks
57.04262 -.00878 (57*2π)/5299 weeks
58.01496 .03399 (58*2π)/5299 weeks
59.00251 .11824 (59*2π)/5299 weeks
60-.03627 -.0596 (60*2π)/5299 weeks
61-.10394 .00092 (61*2π)/5299 weeks
62.0082 -.02999 (62*2π)/5299 weeks
63-.07591 -.04493 (63*2π)/5298 weeks
64.07027 -.04558 (64*2π)/5298 weeks
65.04681 -.02475 (65*2π)/5298 weeks
66.06193 -.01531 (66*2π)/5298 weeks
67.03926 .05829 (67*2π)/5298 weeks
68-.06322 -.07879 (68*2π)/5298 weeks
69-.04598 -.04657 (69*2π)/5298 weeks
70-.05549 -.11832 (70*2π)/5298 weeks
71-.02202 -.11561 (71*2π)/5297 weeks
72.07876 -.07766 (72*2π)/5297 weeks
73.03376 .01707 (73*2π)/5297 weeks
74-.01401 -.05666 (74*2π)/5297 weeks
75.10701 -.05884 (75*2π)/5297 weeks
76.07833 .06465 (76*2π)/5297 weeks
77.01479 .00916 (77*2π)/5297 weeks
78.0062 .03039 (78*2π)/5297 weeks
79.00197 .06379 (79*2π)/5297 weeks
80.00086 .00271 (80*2π)/5297 weeks
81.06803 -.01495 (81*2π)/5297 weeks
82-.06353 -.01827 (82*2π)/5296 weeks
83.05194 -.01814 (83*2π)/5296 weeks
84-.06344 -.0412 (84*2π)/5296 weeks
85-.0987 .03576 (85*2π)/5296 weeks
86-.00526 -.10651 (86*2π)/5296 weeks
87.02546 -.0684 (87*2π)/5296 weeks
88-.02695 -.06114 (88*2π)/5296 weeks
89-.01252 .02828 (89*2π)/5296 weeks
90-.0007 .03379 (90*2π)/5296 weeks
91-.04146 -.07424 (91*2π)/5296 weeks
92-.00957 .04005 (92*2π)/5296 weeks
93.00667 -.01715 (93*2π)/5296 weeks
94-.02857 -.01493 (94*2π)/5296 weeks
95.0186 .03401 (95*2π)/5296 weeks
96.01751 -.0013 (96*2π)/5296 weeks
97-.03727 -.04842 (97*2π)/5295 weeks
98-.0498 -.04869 (98*2π)/5295 weeks
99-.0676 .02744 (99*2π)/5295 weeks
100.03893 .01235 (100*2π)/5295 weeks
101-.02808 -.03497 (101*2π)/5295 weeks
102-.03262 -.02046 (102*2π)/5295 weeks
103-.01596 .00624 (103*2π)/5295 weeks
104-.04309 .00133 (104*2π)/5295 weeks
105-.00536 -.03646 (105*2π)/5295 weeks
106-.03731 -.04917 (106*2π)/5295 weeks
107.0248 .01794 (107*2π)/5295 weeks
108.00557 .00399 (108*2π)/5295 weeks
109-.00283 .00088 (109*2π)/5295 weeks
110.01746 .00475 (110*2π)/5295 weeks
111-.05663 .01825 (111*2π)/5295 weeks
112-.037 .00897 (112*2π)/5295 weeks
113-.01507 -.0379 (113*2π)/5295 weeks
114.00346 -.01268 (114*2π)/5295 weeks
115-.02776 -.04196 (115*2π)/5295 weeks
116-.00209 .04319 (116*2π)/5295 weeks
117.00843 -.03238 (117*2π)/5295 weeks
118-.01972 -.05313 (118*2π)/5294 weeks
119.03778 -.05476 (119*2π)/5294 weeks
120-.05154 -.00865 (120*2π)/5294 weeks
121-.00703 -.02209 (121*2π)/5294 weeks
122.03875 -.00224 (122*2π)/5294 weeks
123-.01709 .00811 (123*2π)/5294 weeks
124.0029 -.0461 (124*2π)/5294 weeks
125.01068 -.02625 (125*2π)/5294 weeks
126.01076 .00995 (126*2π)/5294 weeks
127-.01976 -.00162 (127*2π)/5294 weeks
128-.03201 -.02638 (128*2π)/5294 weeks
129-.03402 -.04259 (129*2π)/5294 weeks
130-.01667 -.03613 (130*2π)/5294 weeks
131.021 -.04208 (131*2π)/5294 weeks
132.01721 -.07604 (132*2π)/5294 weeks
133.05152 .05239 (133*2π)/5294 weeks
134-.00794 .00012 (134*2π)/5294 weeks
135-.03221 .00014 (135*2π)/5294 weeks
136.00733 -.0289 (136*2π)/5294 weeks
137-.02868 -.06028 (137*2π)/5294 weeks
138.02352 .00408 (138*2π)/5294 weeks
139.0041 -.00186 (139*2π)/5294 weeks
140.01445 -.00025 (140*2π)/5294 weeks
141.02632 -.0254 (141*2π)/5294 weeks
142-.03561 .04308 (142*2π)/5294 weeks
143.03765 -.04176 (143*2π)/5294 weeks
144-.01961 -.01968 (144*2π)/5294 weeks
145.0052 .01577 (145*2π)/5294 weeks
146.02262 .00499 (146*2π)/5294 weeks
147.03004 .00332 (147*2π)/5294 weeks
148.01164 .00473 (148*2π)/5294 weeks
149.01792 .02038 (149*2π)/5294 weeks
150.01848 -.0047 (150*2π)/5294 weeks
151-.0061 -.02228 (151*2π)/5294 weeks
152.0608 .02726 (152*2π)/5293 weeks
153-.02706 .04258 (153*2π)/5293 weeks
154-.01694 -.01494 (154*2π)/5293 weeks
155.00802 -.01409 (155*2π)/5293 weeks
156.0162 .01649 (156*2π)/5293 weeks
157.03304 -.00709 (157*2π)/5293 weeks
158-.04674 -.01911 (158*2π)/5293 weeks
159-.00132 .05458 (159*2π)/5293 weeks
160-.00936 -.00536 (160*2π)/5293 weeks
161-.05719 -.00378 (161*2π)/5293 weeks
162.06066 .00229 (162*2π)/5293 weeks
163-.02494 .02245 (163*2π)/5293 weeks
164.03721 .03598 (164*2π)/5293 weeks
165.00561 -.04736 (165*2π)/5293 weeks
166.01695 .02035 (166*2π)/5293 weeks
167.03792 -.01846 (167*2π)/5293 weeks
168.01631 -.04362 (168*2π)/5293 weeks
169.04133 .02219 (169*2π)/5293 weeks
170.03131 .00423 (170*2π)/5293 weeks
171.00583 .01327 (171*2π)/5293 weeks
172.00675 -.00465 (172*2π)/5293 weeks
173-.05002 .00442 (173*2π)/5293 weeks
174.00453 -.0118 (174*2π)/5293 weeks
175-.03553 -.00729 (175*2π)/5293 weeks
176-.00397 -.00872 (176*2π)/5293 weeks
177-.0366 -.00321 (177*2π)/5293 weeks
178-.0245 .009 (178*2π)/5293 weeks
179-.00942 -.00771 (179*2π)/5293 weeks
180-.0192 .01121 (180*2π)/5293 weeks
181.01038 -.03332 (181*2π)/5293 weeks
182-.00881 .00833 (182*2π)/5293 weeks
183.01236 -.00342 (183*2π)/5293 weeks
184.02285 -.01461 (184*2π)/5293 weeks
185.00139 .02817 (185*2π)/5293 weeks
186.05334 -.00181 (186*2π)/5293 weeks
187-.02957 .02615 (187*2π)/5293 weeks
188-.05133 .05558 (188*2π)/5293 weeks
189-.03402 .01704 (189*2π)/5293 weeks
190.00375 .03592 (190*2π)/5293 weeks
191-.00467 -.01965 (191*2π)/5293 weeks
192-.01018 -.01911 (192*2π)/5293 weeks
193.00353 .03918 (193*2π)/5293 weeks
194-.01757 -.0321 (194*2π)/5293 weeks
195.00922 .03677 (195*2π)/5293 weeks
196-.0344 -.00899 (196*2π)/5293 weeks
197-.04217 -.01657 (197*2π)/5293 weeks
198.02369 .00493 (198*2π)/5293 weeks
199-.02684 -.00249 (199*2π)/5293 weeks
200.00543 .02647 (200*2π)/5293 weeks
201-.02513 .02673 (201*2π)/5293 weeks
202-.02268 .02262 (202*2π)/5293 weeks
203-.01168 .00071 (203*2π)/5293 weeks
204-.03022 .0027 (204*2π)/5293 weeks
205-.02777 .03348 (205*2π)/5293 weeks
206-.02038 -.04437 (206*2π)/5293 weeks
207-.03248 .00119 (207*2π)/5293 weeks
208.00665 -.02871 (208*2π)/5293 weeks
209.02429 .02116 (209*2π)/5293 weeks
210-.00176 -.00088 (210*2π)/5293 weeks
211-.05102 .021 (211*2π)/5293 weeks
212.00711 -.01141 (212*2π)/5292 weeks
213-.02392 -.02537 (213*2π)/5292 weeks
214.01778 .00781 (214*2π)/5292 weeks
215-.02841 -.00582 (215*2π)/5292 weeks
216-.02278 .00184 (216*2π)/5292 weeks
217.01206 .00024 (217*2π)/5292 weeks
218-.01804 -.01755 (218*2π)/5292 weeks
219.01679 .03051 (219*2π)/5292 weeks
220-.04145 .01399 (220*2π)/5292 weeks
221-.01856 .0548 (221*2π)/5292 weeks
222-.00965 -.03932 (222*2π)/5292 weeks
223-.03085 .01489 (223*2π)/5292 weeks
224.00379 -.00634 (224*2π)/5292 weeks
225-.04054 -.00852 (225*2π)/5292 weeks
226-.01188 .05252 (226*2π)/5292 weeks
227-.03762 .00075 (227*2π)/5292 weeks
228-.02432 .03174 (228*2π)/5292 weeks
229.00088 -.00652 (229*2π)/5292 weeks
230-.03996 -.00595 (230*2π)/5292 weeks
231-.00086 .03804 (231*2π)/5292 weeks
232-.04163 -.00669 (232*2π)/5292 weeks
233.02381 .04023 (233*2π)/5292 weeks
234-.00306 .03341 (234*2π)/5292 weeks
235-.03233 .0107 (235*2π)/5292 weeks
236.02547 .0076 (236*2π)/5292 weeks
237-.03386 .00706 (237*2π)/5292 weeks
238-.03236 .00592 (238*2π)/5292 weeks
239-.03681 -.0146 (239*2π)/5292 weeks
240-.02128 .01243 (240*2π)/5292 weeks
241-.01618 -.03185 (241*2π)/5292 weeks
242-.01915 -.01358 (242*2π)/5292 weeks
243-.01823 -.039 (243*2π)/5292 weeks
244-.00909 .02371 (244*2π)/5292 weeks
245.02826 .01493 (245*2π)/5292 weeks
246-.02493 -.05306 (246*2π)/5292 weeks
247-.00983 -.00542 (247*2π)/5292 weeks
248.02757 -.00053 (248*2π)/5292 weeks
249-.06213 .00896 (249*2π)/5292 weeks
250.01265 -.00629 (250*2π)/5292 weeks
251.00772 -.04209 (251*2π)/5292 weeks
252-.02369 .01658 (252*2π)/5292 weeks
253-.04996 -.02127 (253*2π)/5292 weeks
254-.02349 -.01182 (254*2π)/5292 weeks
255.00201 -.03564 (255*2π)/5292 weeks
256-.01442 -.05107 (256*2π)/5292 weeks
257-.04254 .0034 (257*2π)/5292 weeks
258-.01049 -.05599 (258*2π)/5292 weeks
259.02446 -.02489 (259*2π)/5292 weeks
260.03667 -.00462 (260*2π)/5292 weeks
261-.00844 -.01834 (261*2π)/5292 weeks
262.03973 .05409 (262*2π)/5292 weeks
263.00842 -.02292 (263*2π)/5292 weeks
264.00849 .01757 (264*2π)/5292 weeks
265.00849 -.01757 (265*2π)/5292 weeks
266.00842 .02292 (266*2π)/5292 weeks
267.03973 -.05409 (267*2π)/5292 weeks
268-.00844 .01834 (268*2π)/5292 weeks
269.03667 .00462 (269*2π)/5292 weeks
270.02446 .02489 (270*2π)/5292 weeks
271-.01049 .05599 (271*2π)/5292 weeks
272-.04254 -.0034 (272*2π)/5292 weeks
273-.01442 .05107 (273*2π)/5292 weeks
274.00201 .03564 (274*2π)/5292 weeks
275-.02349 .01182 (275*2π)/5292 weeks
276-.04996 .02127 (276*2π)/5292 weeks
277-.02369 -.01658 (277*2π)/5292 weeks
278.00772 .04209 (278*2π)/5292 weeks
279.01265 .00629 (279*2π)/5292 weeks
280-.06213 -.00896 (280*2π)/5292 weeks
281.02757 .00053 (281*2π)/5292 weeks
282-.00983 .00542 (282*2π)/5292 weeks
283-.02493 .05306 (283*2π)/5292 weeks
284.02826 -.01493 (284*2π)/5292 weeks
285-.00909 -.02371 (285*2π)/5292 weeks
286-.01823 .039 (286*2π)/5292 weeks
287-.01915 .01358 (287*2π)/5292 weeks
288-.01618 .03185 (288*2π)/5292 weeks
289-.02128 -.01243 (289*2π)/5292 weeks
290-.03681 .0146 (290*2π)/5292 weeks
291-.03236 -.00592 (291*2π)/5292 weeks
292-.03386 -.00706 (292*2π)/5292 weeks
293.02547 -.0076 (293*2π)/5292 weeks
294-.03233 -.0107 (294*2π)/5292 weeks
295-.00306 -.03341 (295*2π)/5292 weeks
296.02381 -.04023 (296*2π)/5292 weeks
297-.04163 .00669 (297*2π)/5292 weeks
298-.00086 -.03804 (298*2π)/5292 weeks
299-.03996 .00595 (299*2π)/5292 weeks
300.00088 .00652 (300*2π)/5292 weeks
301-.02432 -.03174 (301*2π)/5292 weeks
302-.03762 -.00075 (302*2π)/5292 weeks
303-.01188 -.05252 (303*2π)/5292 weeks
304-.04054 .00852 (304*2π)/5292 weeks
305.00379 .00634 (305*2π)/5292 weeks
306-.03085 -.01489 (306*2π)/5292 weeks
307-.00965 .03932 (307*2π)/5292 weeks
308-.01856 -.0548 (308*2π)/5292 weeks
309-.04145 -.01399 (309*2π)/5292 weeks
310.01679 -.03051 (310*2π)/5292 weeks
311-.01804 .01755 (311*2π)/5292 weeks
312.01206 -.00024 (312*2π)/5292 weeks
313-.02278 -.00184 (313*2π)/5292 weeks
314-.02841 .00582 (314*2π)/5292 weeks
315.01778 -.00781 (315*2π)/5292 weeks
316-.02392 .02537 (316*2π)/5292 weeks
317.00711 .01141 (317*2π)/5292 weeks
318-.05102 -.021 (318*2π)/5292 weeks
319-.00176 .00088 (319*2π)/5292 weeks
320.02429 -.02116 (320*2π)/5292 weeks
321.00665 .02871 (321*2π)/5292 weeks
322-.03248 -.00119 (322*2π)/5292 weeks
323-.02038 .04437 (323*2π)/5292 weeks
324-.02777 -.03348 (324*2π)/5292 weeks
325-.03022 -.0027 (325*2π)/5292 weeks
326-.01168 -.00071 (326*2π)/5292 weeks
327-.02268 -.02262 (327*2π)/5292 weeks
328-.02513 -.02673 (328*2π)/5292 weeks
329.00543 -.02647 (329*2π)/5292 weeks
330-.02684 .00249 (330*2π)/5292 weeks
331.02369 -.00493 (331*2π)/5292 weeks
332-.04217 .01657 (332*2π)/5292 weeks
333-.0344 .00899 (333*2π)/5292 weeks
334.00922 -.03677 (334*2π)/5292 weeks
335-.01757 .0321 (335*2π)/5292 weeks
336.00353 -.03918 (336*2π)/5292 weeks
337-.01018 .01911 (337*2π)/5292 weeks
338-.00467 .01965 (338*2π)/5292 weeks
339.00375 -.03592 (339*2π)/5292 weeks
340-.03402 -.01704 (340*2π)/5292 weeks
341-.05133 -.05558 (341*2π)/5292 weeks
342-.02957 -.02615 (342*2π)/5292 weeks
343.05334 .00181 (343*2π)/5292 weeks
344.00139 -.02817 (344*2π)/5292 weeks
345.02285 .01461 (345*2π)/5292 weeks
346.01236 .00342 (346*2π)/5292 weeks
347-.00881 -.00833 (347*2π)/5292 weeks
348.01038 .03332 (348*2π)/5292 weeks
349-.0192 -.01121 (349*2π)/5292 weeks
350-.00942 .00771 (350*2π)/5292 weeks
351-.0245 -.009 (351*2π)/5292 weeks
352-.0366 .00321 (352*2π)/5292 weeks
353-.00397 .00872 (353*2π)/5291 weeks
354-.03553 .00729 (354*2π)/5291 weeks
355.00453 .0118 (355*2π)/5291 weeks
356-.05002 -.00442 (356*2π)/5291 weeks
357.00675 .00465 (357*2π)/5291 weeks
358.00583 -.01327 (358*2π)/5291 weeks
359.03131 -.00423 (359*2π)/5291 weeks
360.04133 -.02219 (360*2π)/5291 weeks
361.01631 .04362 (361*2π)/5291 weeks
362.03792 .01846 (362*2π)/5291 weeks
363.01695 -.02035 (363*2π)/5291 weeks
364.00561 .04736 (364*2π)/5291 weeks
365.03721 -.03598 (365*2π)/5291 weeks
366-.02494 -.02245 (366*2π)/5291 weeks
367.06066 -.00229 (367*2π)/5291 weeks
368-.05719 .00378 (368*2π)/5291 weeks
369-.00936 .00536 (369*2π)/5291 weeks
370-.00132 -.05458 (370*2π)/5291 weeks
371-.04674 .01911 (371*2π)/5291 weeks
372.03304 .00709 (372*2π)/5291 weeks
373.0162 -.01649 (373*2π)/5291 weeks
374.00802 .01409 (374*2π)/5291 weeks
375-.01694 .01494 (375*2π)/5291 weeks
376-.02706 -.04258 (376*2π)/5291 weeks
377.0608 -.02726 (377*2π)/5291 weeks
378-.0061 .02228 (378*2π)/5291 weeks
379.01848 .0047 (379*2π)/5291 weeks
380.01792 -.02038 (380*2π)/5291 weeks
381.01164 -.00473 (381*2π)/5291 weeks
382.03004 -.00332 (382*2π)/5291 weeks
383.02262 -.00499 (383*2π)/5291 weeks
384.0052 -.01577 (384*2π)/5291 weeks
385-.01961 .01968 (385*2π)/5291 weeks
386.03765 .04176 (386*2π)/5291 weeks
387-.03561 -.04308 (387*2π)/5291 weeks
388.02632 .0254 (388*2π)/5291 weeks
389.01445 .00025 (389*2π)/5291 weeks
390.0041 .00186 (390*2π)/5291 weeks
391.02352 -.00408 (391*2π)/5291 weeks
392-.02868 .06028 (392*2π)/5291 weeks
393.00733 .0289 (393*2π)/5291 weeks
394-.03221 -.00014 (394*2π)/5291 weeks
395-.00794 -.00012 (395*2π)/5291 weeks
396.05152 -.05239 (396*2π)/5291 weeks
397.01721 .07604 (397*2π)/5291 weeks
398.021 .04208 (398*2π)/5291 weeks
399-.01667 .03613 (399*2π)/5291 weeks
400-.03402 .04259 (400*2π)/5291 weeks
401-.03201 .02638 (401*2π)/5291 weeks
402-.01976 .00162 (402*2π)/5291 weeks
403.01076 -.00995 (403*2π)/5291 weeks
404.01068 .02625 (404*2π)/5291 weeks
405.0029 .0461 (405*2π)/5291 weeks
406-.01709 -.00811 (406*2π)/5291 weeks
407.03875 .00224 (407*2π)/5291 weeks
408-.00703 .02209 (408*2π)/5291 weeks
409-.05154 .00865 (409*2π)/5291 weeks
410.03778 .05476 (410*2π)/5291 weeks
411-.01972 .05313 (411*2π)/5291 weeks
412.00843 .03238 (412*2π)/5291 weeks
413-.00209 -.04319 (413*2π)/5291 weeks
414-.02776 .04196 (414*2π)/5291 weeks
415.00346 .01268 (415*2π)/5291 weeks
416-.01507 .0379 (416*2π)/5291 weeks
417-.037 -.00897 (417*2π)/5291 weeks
418-.05663 -.01825 (418*2π)/5291 weeks
419.01746 -.00475 (419*2π)/5291 weeks
420-.00283 -.00088 (420*2π)/5291 weeks
421.00557 -.00399 (421*2π)/5291 weeks
422.0248 -.01794 (422*2π)/5291 weeks
423-.03731 .04917 (423*2π)/5291 weeks
424-.00536 .03646 (424*2π)/5291 weeks
425-.04309 -.00133 (425*2π)/5291 weeks
426-.01596 -.00624 (426*2π)/5291 weeks
427-.03262 .02046 (427*2π)/5291 weeks
428-.02808 .03497 (428*2π)/5291 weeks
429.03893 -.01235 (429*2π)/5291 weeks
430-.0676 -.02744 (430*2π)/5291 weeks
431-.0498 .04869 (431*2π)/5291 weeks
432-.03727 .04842 (432*2π)/5291 weeks
433.01751 .0013 (433*2π)/5291 weeks
434.0186 -.03401 (434*2π)/5291 weeks
435-.02857 .01493 (435*2π)/5291 weeks
436.00667 .01715 (436*2π)/5291 weeks
437-.00957 -.04005 (437*2π)/5291 weeks
438-.04146 .07424 (438*2π)/5291 weeks
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5231.20557 .53806 (523*2π)/5291 weeks
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5251.1993 1.76337 (525*2π)/5291 weeks
5261.79429 2.40006 (526*2π)/5291 weeks
527-.96441 1.24458 (527*2π)/5291 weeks