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# Fourier Analysis of PHO (PowerShares Water Resources Portfolio)

PHO (PowerShares Water Resources Portfolio) appears to have interesting cyclic behaviour every 50 weeks (.7224*sine), 59 weeks (.5193*cosine), and 46 weeks (.4066*cosine).

PHO (PowerShares Water Resources Portfolio) has an average price of 20.26 (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 12/6/2005 to 4/23/2018 for PHO (PowerShares Water Resources Portfolio), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
020.25723   0
11.76438 -4.59491 (1*2π)/647647 weeks
2.22061 .0712 (2*2π)/647324 weeks
3.69109 -.84307 (3*2π)/647216 weeks
4-.63062 -2.51449 (4*2π)/647162 weeks
5.29448 -1.56855 (5*2π)/647129 weeks
6.25187 -.69695 (6*2π)/647108 weeks
7.21326 -.23856 (7*2π)/64792 weeks
8-.27768 -.63597 (8*2π)/64781 weeks
9.44047 -1.16983 (9*2π)/64772 weeks
10.14759 -.2905 (10*2π)/64765 weeks
11-.51928 -.18636 (11*2π)/64759 weeks
12.01746 -.26434 (12*2π)/64754 weeks
13-.20772 -.72244 (13*2π)/64750 weeks
14.4066 -.41664 (14*2π)/64746 weeks
15-.12309 -.15378 (15*2π)/64743 weeks
16-.29634 -.16374 (16*2π)/64740 weeks
17-.29884 -.33916 (17*2π)/64738 weeks
18-.12443 -.3381 (18*2π)/64736 weeks
19-.11064 -.22488 (19*2π)/64734 weeks
20.08206 -.16529 (20*2π)/64732 weeks
21-.2508 -.11132 (21*2π)/64731 weeks
22-.09302 -.4694 (22*2π)/64729 weeks
23-.13716 -.28327 (23*2π)/64728 weeks
24-.01697 -.16005 (24*2π)/64727 weeks
25.0234 -.13173 (25*2π)/64726 weeks
26.05391 -.22097 (26*2π)/64725 weeks
27-.10832 -.34614 (27*2π)/64724 weeks
28-.02182 -.07781 (28*2π)/64723 weeks
29.00631 -.10423 (29*2π)/64722 weeks
30-.03482 -.20248 (30*2π)/64722 weeks
31.05408 -.43664 (31*2π)/64721 weeks
32.01708 -.16252 (32*2π)/64720 weeks
33-.02596 -.07014 (33*2π)/64720 weeks
34-.17076 -.01767 (34*2π)/64719 weeks
35-.05988 -.20695 (35*2π)/64718 weeks
36.16378 -.22049 (36*2π)/64718 weeks
37.00019 -.0961 (37*2π)/64717 weeks
38-.16413 .02386 (38*2π)/64717 weeks
39-.15375 -.24731 (39*2π)/64717 weeks
40.1474 -.16771 (40*2π)/64716 weeks
41.02696 -.00157 (41*2π)/64716 weeks
42-.01468 -.06404 (42*2π)/64715 weeks
43-.08766 -.09159 (43*2π)/64715 weeks
44.00221 -.18439 (44*2π)/64715 weeks
45-.00231 -.15283 (45*2π)/64714 weeks
46.01187 -.11691 (46*2π)/64714 weeks
47-.09124 -.04854 (47*2π)/64714 weeks
48-.05879 -.2713 (48*2π)/64713 weeks
49-.00332 -.09784 (49*2π)/64713 weeks
50-.04076 -.10231 (50*2π)/64713 weeks
51.027 -.08313 (51*2π)/64713 weeks
52-.09616 -.15114 (52*2π)/64712 weeks
53-.05163 -.12117 (53*2π)/64712 weeks
54.02803 -.15905 (54*2π)/64712 weeks
55.04294 -.13779 (55*2π)/64712 weeks
56-.09817 -.05157 (56*2π)/64712 weeks
57-.06087 .00465 (57*2π)/64711 weeks
58-.05838 -.12419 (58*2π)/64711 weeks
59-.09306 -.11178 (59*2π)/64711 weeks
60.01677 -.07099 (60*2π)/64711 weeks
61-.02832 -.08385 (61*2π)/64711 weeks
62.02009 -.05301 (62*2π)/64710 weeks
63-.00706 -.05968 (63*2π)/64710 weeks
64.02777 -.09557 (64*2π)/64710 weeks
65-.05137 -.07096 (65*2π)/64710 weeks
66-.10898 -.15317 (66*2π)/64710 weeks
67.00245 -.00381 (67*2π)/64710 weeks
68-.00472 -.06884 (68*2π)/64710 weeks
69-.04163 -.08236 (69*2π)/6479 weeks
70-.02747 -.03727 (70*2π)/6479 weeks
71-.01346 -.1074 (71*2π)/6479 weeks
72-.06204 -.05747 (72*2π)/6479 weeks
73-.02317 -.10992 (73*2π)/6479 weeks
74.00474 -.00831 (74*2π)/6479 weeks
75.00884 -.04667 (75*2π)/6479 weeks
76-.10029 -.03564 (76*2π)/6479 weeks
77-.05936 .019 (77*2π)/6478 weeks
78.03787 -.07265 (78*2π)/6478 weeks
79-.04314 -.09012 (79*2π)/6478 weeks
80.03359 -.00541 (80*2π)/6478 weeks
81-.06874 -.09984 (81*2π)/6478 weeks
82-.00528 -.03855 (82*2π)/6478 weeks
83-.06614 -.07586 (83*2π)/6478 weeks
84.01276 -.1288 (84*2π)/6478 weeks
85.06929 -.02045 (85*2π)/6478 weeks
86.03294 -.043 (86*2π)/6478 weeks
87-.09133 -.03659 (87*2π)/6477 weeks
88.00842 -.12225 (88*2π)/6477 weeks
89.05466 -.03278 (89*2π)/6477 weeks
90-.06438 -.11878 (90*2π)/6477 weeks
91-.0064 -.00187 (91*2π)/6477 weeks
92-.0584 -.061 (92*2π)/6477 weeks
93.04286 -.10368 (93*2π)/6477 weeks
94.00405 -.03796 (94*2π)/6477 weeks
95.00169 -.04404 (95*2π)/6477 weeks
96-.03279 -.06035 (96*2π)/6477 weeks
97.01782 -.09043 (97*2π)/6477 weeks
98-.01601 -.08246 (98*2π)/6477 weeks
99-.01189 -.03459 (99*2π)/6477 weeks
100-.0653 -.05619 (100*2π)/6476 weeks
101-.04168 -.13758 (101*2π)/6476 weeks
102-.00697 -.07371 (102*2π)/6476 weeks
103-.00964 .00124 (103*2π)/6476 weeks
104-.03937 -.05327 (104*2π)/6476 weeks
105-.05922 -.09619 (105*2π)/6476 weeks
106-.04114 -.08057 (106*2π)/6476 weeks
107-.05493 -.02727 (107*2π)/6476 weeks
108-.03588 -.02115 (108*2π)/6476 weeks
109-.02017 -.04035 (109*2π)/6476 weeks
110-.00238 -.01317 (110*2π)/6476 weeks
111-.04956 -.04988 (111*2π)/6476 weeks
112-.01803 -.07205 (112*2π)/6476 weeks
113-.06127 -.05476 (113*2π)/6476 weeks
114-.05636 -.04823 (114*2π)/6476 weeks
115-.01309 -.04685 (115*2π)/6476 weeks
116-.00462 -.02662 (116*2π)/6476 weeks
117-.00798 -.02695 (117*2π)/6476 weeks
118-.04412 -.04162 (118*2π)/6475 weeks
119-.04968 -.05162 (119*2π)/6475 weeks
120-.02925 -.0296 (120*2π)/6475 weeks
121-.02529 .01119 (121*2π)/6475 weeks
122-.04347 -.04186 (122*2π)/6475 weeks
123-.03427 -.06348 (123*2π)/6475 weeks
124.00837 -.07247 (124*2π)/6475 weeks
125-.03574 -.00981 (125*2π)/6475 weeks
126-.00987 -.01679 (126*2π)/6475 weeks
127-.03307 -.0594 (127*2π)/6475 weeks
128.00995 -.07906 (128*2π)/6475 weeks
129-.02627 -.01175 (129*2π)/6475 weeks
130-.05793 .00115 (130*2π)/6475 weeks
131-.02263 -.03929 (131*2π)/6475 weeks
132.0034 -.05078 (132*2π)/6475 weeks
133-.01067 -.03916 (133*2π)/6475 weeks
134.01386 .01712 (134*2π)/6475 weeks
135-.07257 -.01691 (135*2π)/6475 weeks
136-.02407 -.00973 (136*2π)/6475 weeks
137-.00397 -.00606 (137*2π)/6475 weeks
138-.01781 -.05113 (138*2π)/6475 weeks
139-.0508 -.00157 (139*2π)/6475 weeks
140-.06686 -.03208 (140*2π)/6475 weeks
141-.03851 -.02262 (141*2π)/6475 weeks
142-.01504 -.01252 (142*2π)/6475 weeks
143-.05889 -.03168 (143*2π)/6475 weeks
144-.05383 -.04278 (144*2π)/6474 weeks
145.00477 -.05648 (145*2π)/6474 weeks
146-.05178 -.00184 (146*2π)/6474 weeks
147-.03331 -.00919 (147*2π)/6474 weeks
148-.01533 -.04904 (148*2π)/6474 weeks
149-.03476 -.06268 (149*2π)/6474 weeks
150-.03846 -.06076 (150*2π)/6474 weeks
151-.01893 -.03771 (151*2π)/6474 weeks
152-.04548 -.02574 (152*2π)/6474 weeks
153-.04259 -.0306 (153*2π)/6474 weeks
154-.01345 -.03331 (154*2π)/6474 weeks
155-.02158 -.04536 (155*2π)/6474 weeks
156-.02814 -.06431 (156*2π)/6474 weeks
157-.02462 -.01433 (157*2π)/6474 weeks
158-.03486 .03545 (158*2π)/6474 weeks
159-.01782 .00314 (159*2π)/6474 weeks
160-.04992 -.06289 (160*2π)/6474 weeks
161-.02548 -.02878 (161*2π)/6474 weeks
162-.03512 .02304 (162*2π)/6474 weeks
163-.02242 -.02763 (163*2π)/6474 weeks
164-.00862 -.01365 (164*2π)/6474 weeks
165-.04234 -.0374 (165*2π)/6474 weeks
166-.08174 .00183 (166*2π)/6474 weeks
167-.03622 -.02475 (167*2π)/6474 weeks
168-.0288 .02055 (168*2π)/6474 weeks
169-.0387 -.00356 (169*2π)/6474 weeks
170.01925 -.03899 (170*2π)/6474 weeks
171-.01317 -.01952 (171*2π)/6474 weeks
172-.03772 -.02637 (172*2π)/6474 weeks
173-.02053 -.01724 (173*2π)/6474 weeks
174.0087 -.02701 (174*2π)/6474 weeks
175-.02092 -.00196 (175*2π)/6474 weeks
176-.02066 .00434 (176*2π)/6474 weeks
177-.04253 -.02413 (177*2π)/6474 weeks
178.0238 -.01396 (178*2π)/6474 weeks
179-.00629 .00543 (179*2π)/6474 weeks
180-.01482 -.02428 (180*2π)/6474 weeks
181-.02959 -.01828 (181*2π)/6474 weeks
182-.02268 -.00612 (182*2π)/6474 weeks
183-.03095 -.01199 (183*2π)/6474 weeks
184.0016 -.00737 (184*2π)/6474 weeks
185.00544 .00634 (185*2π)/6473 weeks
186-.03591 -.04644 (186*2π)/6473 weeks
187.01882 -.00418 (187*2π)/6473 weeks
188-.02892 -.00899 (188*2π)/6473 weeks
189-.03098 -.02294 (189*2π)/6473 weeks
190-.03803 -.02697 (190*2π)/6473 weeks
191-.03231 -.03931 (191*2π)/6473 weeks
192-.03107 -.02032 (192*2π)/6473 weeks
193-.02898 .00673 (193*2π)/6473 weeks
194-.02653 -.04658 (194*2π)/6473 weeks
195-.02872 -.03002 (195*2π)/6473 weeks
196.01185 -.01964 (196*2π)/6473 weeks
197-.02919 -.00228 (197*2π)/6473 weeks
198-.06163 -.02297 (198*2π)/6473 weeks
199-.04925 -.04172 (199*2π)/6473 weeks
200-.0162 -.04011 (200*2π)/6473 weeks
201-.02991 -.01739 (201*2π)/6473 weeks
202-.02837 -.00456 (202*2π)/6473 weeks
203-.02256 -.04196 (203*2π)/6473 weeks
204-.02874 -.04289 (204*2π)/6473 weeks
205-.04217 -.01282 (205*2π)/6473 weeks
206-.05497 -.00787 (206*2π)/6473 weeks
207-.04483 -.02441 (207*2π)/6473 weeks
208-.02257 -.04207 (208*2π)/6473 weeks
209-.01169 -.03905 (209*2π)/6473 weeks
210-.02063 .00498 (210*2π)/6473 weeks
211-.06902 -.00761 (211*2π)/6473 weeks
212-.06016 -.02258 (212*2π)/6473 weeks
213-.01883 -.01812 (213*2π)/6473 weeks
214-.02266 -.00381 (214*2π)/6473 weeks
215-.06066 -.00838 (215*2π)/6473 weeks
216-.05249 .00112 (216*2π)/6473 weeks
217-.01747 -.00617 (217*2π)/6473 weeks
218-.02486 -.0016 (218*2π)/6473 weeks
219-.02585 .00086 (219*2π)/6473 weeks
220-.06473 -.0014 (220*2π)/6473 weeks
221-.05189 -.01077 (221*2π)/6473 weeks
222-.03604 -.00922 (222*2π)/6473 weeks
223-.04168 -.0284 (223*2π)/6473 weeks
224-.0356 -.00257 (224*2π)/6473 weeks
225-.02919 .00675 (225*2π)/6473 weeks
226-.02258 .01646 (226*2π)/6473 weeks
227-.04238 -.00813 (227*2π)/6473 weeks
228-.05283 .0135 (228*2π)/6473 weeks
229-.06603 -.03771 (229*2π)/6473 weeks
230.0283 .01184 (230*2π)/6473 weeks
231-.02387 -.00795 (231*2π)/6473 weeks
232-.03085 .02233 (232*2π)/6473 weeks
233-.0439 -.01291 (233*2π)/6473 weeks
234-.02998 -.00856 (234*2π)/6473 weeks
235-.04285 -.01003 (235*2π)/6473 weeks
236.02192 -.00963 (236*2π)/6473 weeks
237-.0178 .01294 (237*2π)/6473 weeks
238.01739 -.00013 (238*2π)/6473 weeks
239-.03673 .02139 (239*2π)/6473 weeks
240-.01331 -.00659 (240*2π)/6473 weeks
241-.04125 .02357 (241*2π)/6473 weeks
242-.01738 -.0138 (242*2π)/6473 weeks
243.00935 -.02237 (243*2π)/6473 weeks
244-.01833 .00285 (244*2π)/6473 weeks
245-.02641 -.00105 (245*2π)/6473 weeks
246-.0104 -.02181 (246*2π)/6473 weeks
247-.00685 -.00321 (247*2π)/6473 weeks
248-.03871 -.00517 (248*2π)/6473 weeks
249-.02673 -.01355 (249*2π)/6473 weeks
250-.00877 -.0074 (250*2π)/6473 weeks
251-.00132 -.01996 (251*2π)/6473 weeks
252-.02355 .02292 (252*2π)/6473 weeks
253-.03752 -.01501 (253*2π)/6473 weeks
254-.02525 -.03923 (254*2π)/6473 weeks
255.0081 -.01894 (255*2π)/6473 weeks
256-.03034 -.00653 (256*2π)/6473 weeks
257-.03717 -.02809 (257*2π)/6473 weeks
258-.00562 -.00754 (258*2π)/6473 weeks
259-.02919 -.00134 (259*2π)/6472 weeks
260-.02199 -.02664 (260*2π)/6472 weeks
261-.01063 .0049 (261*2π)/6472 weeks
262-.02216 -.03177 (262*2π)/6472 weeks
263-.00876 .0007 (263*2π)/6472 weeks
264-.04728 .00415 (264*2π)/6472 weeks
265-.01249 -.02609 (265*2π)/6472 weeks
266-.02394 -.0302 (266*2π)/6472 weeks
267-.01247 -.02144 (267*2π)/6472 weeks
268-.03988 -.00642 (268*2π)/6472 weeks
269.01894 -.01914 (269*2π)/6472 weeks
270-.0125 -.02423 (270*2π)/6472 weeks
271-.03086 -.01794 (271*2π)/6472 weeks
272-.02847 .01946 (272*2π)/6472 weeks
273-.02775 .00866 (273*2π)/6472 weeks
274-.01131 -.00046 (274*2π)/6472 weeks
275-.0201 -.00897 (275*2π)/6472 weeks
276-.02953 -.00089 (276*2π)/6472 weeks
277-.01975 -.03119 (277*2π)/6472 weeks
278-.00946 -.00957 (278*2π)/6472 weeks
279-.02131 .01542 (279*2π)/6472 weeks
280-.00255 .00335 (280*2π)/6472 weeks
281-.06983 .00705 (281*2π)/6472 weeks
282.00135 .00248 (282*2π)/6472 weeks
283-.02267 -.00301 (283*2π)/6472 weeks
284-.00058 -.00865 (284*2π)/6472 weeks
285-.03084 -.00874 (285*2π)/6472 weeks
286-.01013 -.01635 (286*2π)/6472 weeks
287-.03036 -.0203 (287*2π)/6472 weeks
288-.011 -.00621 (288*2π)/6472 weeks
289-.04159 -.00149 (289*2π)/6472 weeks
290-.05381 -.00946 (290*2π)/6472 weeks
291-.0073 .01972 (291*2π)/6472 weeks
292-.00609 -.00195 (292*2π)/6472 weeks
293-.05235 .01284 (293*2π)/6472 weeks
294-.03441 -.0019 (294*2π)/6472 weeks
295-.00296 -.00827 (295*2π)/6472 weeks
296-.02903 .00341 (296*2π)/6472 weeks
297-.02316 .00829 (297*2π)/6472 weeks
298-.02516 -.01146 (298*2π)/6472 weeks
299-.04188 -.03542 (299*2π)/6472 weeks
300-.01923 -.00609 (300*2π)/6472 weeks
301.00811 .01423 (301*2π)/6472 weeks
302-.04708 .00653 (302*2π)/6472 weeks
303-.03768 -.03571 (303*2π)/6472 weeks
304.0003 -.01561 (304*2π)/6472 weeks
305-.00173 -.02603 (305*2π)/6472 weeks
306-.02495 .01331 (306*2π)/6472 weeks
307-.04723 -.00925 (307*2π)/6472 weeks
308-.02828 -.00218 (308*2π)/6472 weeks
309.01236 .02188 (309*2π)/6472 weeks
310-.02514 -.02343 (310*2π)/6472 weeks
311-.01061 -.00108 (311*2π)/6472 weeks
312-.02723 .01354 (312*2π)/6472 weeks
313-.03033 .02559 (313*2π)/6472 weeks
314-.03104 .00727 (314*2π)/6472 weeks
315-.06616 -.02192 (315*2π)/6472 weeks
316-.03378 -.03106 (316*2π)/6472 weeks
317-.02274 .03093 (317*2π)/6472 weeks
318-.03738 .01241 (318*2π)/6472 weeks
319-.01257 -.00218 (319*2π)/6472 weeks
320-.01666 -.02599 (320*2π)/6472 weeks
321-.02813 .00285 (321*2π)/6472 weeks
322-.01524 .00794 (322*2π)/6472 weeks
323-.04617 .02939 (323*2π)/6472 weeks
324-.04617 -.02939 (324*2π)/6472 weeks
325-.01524 -.00794 (325*2π)/6472 weeks
326-.02813 -.00285 (326*2π)/6472 weeks
327-.01666 .02599 (327*2π)/6472 weeks
328-.01257 .00218 (328*2π)/6472 weeks
329-.03738 -.01241 (329*2π)/6472 weeks
330-.02274 -.03093 (330*2π)/6472 weeks
331-.03378 .03106 (331*2π)/6472 weeks
332-.06616 .02192 (332*2π)/6472 weeks
333-.03104 -.00727 (333*2π)/6472 weeks
334-.03033 -.02559 (334*2π)/6472 weeks
335-.02723 -.01354 (335*2π)/6472 weeks
336-.01061 .00108 (336*2π)/6472 weeks
337-.02514 .02343 (337*2π)/6472 weeks
338.01236 -.02188 (338*2π)/6472 weeks
339-.02828 .00218 (339*2π)/6472 weeks
340-.04723 .00925 (340*2π)/6472 weeks
341-.02495 -.01331 (341*2π)/6472 weeks
342-.00173 .02603 (342*2π)/6472 weeks
343.0003 .01561 (343*2π)/6472 weeks
344-.03768 .03571 (344*2π)/6472 weeks
345-.04708 -.00653 (345*2π)/6472 weeks
346.00811 -.01423 (346*2π)/6472 weeks
347-.01923 .00609 (347*2π)/6472 weeks
348-.04188 .03542 (348*2π)/6472 weeks
349-.02516 .01146 (349*2π)/6472 weeks
350-.02316 -.00829 (350*2π)/6472 weeks
351-.02903 -.00341 (351*2π)/6472 weeks
352-.00296 .00827 (352*2π)/6472 weeks
353-.03441 .0019 (353*2π)/6472 weeks
354-.05235 -.01284 (354*2π)/6472 weeks
355-.00609 .00195 (355*2π)/6472 weeks
356-.0073 -.01972 (356*2π)/6472 weeks
357-.05381 .00946 (357*2π)/6472 weeks
358-.04159 .00149 (358*2π)/6472 weeks
359-.011 .00621 (359*2π)/6472 weeks
360-.03036 .0203 (360*2π)/6472 weeks
361-.01013 .01635 (361*2π)/6472 weeks
362-.03084 .00874 (362*2π)/6472 weeks
363-.00058 .00865 (363*2π)/6472 weeks
364-.02267 .00301 (364*2π)/6472 weeks
365.00135 -.00248 (365*2π)/6472 weeks
366-.06983 -.00705 (366*2π)/6472 weeks
367-.00255 -.00335 (367*2π)/6472 weeks
368-.02131 -.01542 (368*2π)/6472 weeks
369-.00946 .00957 (369*2π)/6472 weeks
370-.01975 .03119 (370*2π)/6472 weeks
371-.02953 .00089 (371*2π)/6472 weeks
372-.0201 .00897 (372*2π)/6472 weeks
373-.01131 .00046 (373*2π)/6472 weeks
374-.02775 -.00866 (374*2π)/6472 weeks
375-.02847 -.01946 (375*2π)/6472 weeks
376-.03086 .01794 (376*2π)/6472 weeks
377-.0125 .02423 (377*2π)/6472 weeks
378.01894 .01914 (378*2π)/6472 weeks
379-.03988 .00642 (379*2π)/6472 weeks
380-.01247 .02144 (380*2π)/6472 weeks
381-.02394 .0302 (381*2π)/6472 weeks
382-.01249 .02609 (382*2π)/6472 weeks
383-.04728 -.00415 (383*2π)/6472 weeks
384-.00876 -.0007 (384*2π)/6472 weeks
385-.02216 .03177 (385*2π)/6472 weeks
386-.01063 -.0049 (386*2π)/6472 weeks
387-.02199 .02664 (387*2π)/6472 weeks
388-.02919 .00134 (388*2π)/6472 weeks
389-.00562 .00754 (389*2π)/6472 weeks
390-.03717 .02809 (390*2π)/6472 weeks
391-.03034 .00653 (391*2π)/6472 weeks
392.0081 .01894 (392*2π)/6472 weeks
393-.02525 .03923 (393*2π)/6472 weeks
394-.03752 .01501 (394*2π)/6472 weeks
395-.02355 -.02292 (395*2π)/6472 weeks
396-.00132 .01996 (396*2π)/6472 weeks
397-.00877 .0074 (397*2π)/6472 weeks
398-.02673 .01355 (398*2π)/6472 weeks
399-.03871 .00517 (399*2π)/6472 weeks
400-.00685 .00321 (400*2π)/6472 weeks
401-.0104 .02181 (401*2π)/6472 weeks
402-.02641 .00105 (402*2π)/6472 weeks
403-.01833 -.00285 (403*2π)/6472 weeks
404.00935 .02237 (404*2π)/6472 weeks
405-.01738 .0138 (405*2π)/6472 weeks
406-.04125 -.02357 (406*2π)/6472 weeks
407-.01331 .00659 (407*2π)/6472 weeks
408-.03673 -.02139 (408*2π)/6472 weeks
409.01739 .00013 (409*2π)/6472 weeks
410-.0178 -.01294 (410*2π)/6472 weeks
411.02192 .00963 (411*2π)/6472 weeks
412-.04285 .01003 (412*2π)/6472 weeks
413-.02998 .00856 (413*2π)/6472 weeks
414-.0439 .01291 (414*2π)/6472 weeks
415-.03085 -.02233 (415*2π)/6472 weeks
416-.02387 .00795 (416*2π)/6472 weeks
417.0283 -.01184 (417*2π)/6472 weeks
418-.06603 .03771 (418*2π)/6472 weeks
419-.05283 -.0135 (419*2π)/6472 weeks
420-.04238 .00813 (420*2π)/6472 weeks
421-.02258 -.01646 (421*2π)/6472 weeks
422-.02919 -.00675 (422*2π)/6472 weeks
423-.0356 .00257 (423*2π)/6472 weeks
424-.04168 .0284 (424*2π)/6472 weeks
425-.03604 .00922 (425*2π)/6472 weeks
426-.05189 .01077 (426*2π)/6472 weeks
427-.06473 .0014 (427*2π)/6472 weeks
428-.02585 -.00086 (428*2π)/6472 weeks
429-.02486 .0016 (429*2π)/6472 weeks
430-.01747 .00617 (430*2π)/6472 weeks
431-.05249 -.00112 (431*2π)/6472 weeks
432-.06066 .00838 (432*2π)/6471 weeks
433-.02266 .00381 (433*2π)/6471 weeks
434-.01883 .01812 (434*2π)/6471 weeks
435-.06016 .02258 (435*2π)/6471 weeks
436-.06902 .00761 (436*2π)/6471 weeks
437-.02063 -.00498 (437*2π)/6471 weeks
438-.01169 .03905 (438*2π)/6471 weeks
439-.02257 .04207 (439*2π)/6471 weeks
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