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# Fourier Analysis of PIO (PowerShares Global Water Portfolio)

PIO (PowerShares Global Water Portfolio) appears to have interesting cyclic behaviour every 52 weeks (.4487*cosine), 38 weeks (.3177*cosine), and 21 weeks (.2334*cosine).

PIO (PowerShares Global Water Portfolio) has an average price of 18.95 (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 6/13/2007 to 4/23/2018 for PIO (PowerShares Global Water Portfolio), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
018.95123   0
11.43187 -3.86426 (1*2π)/568568 weeks
2.96511 -.57207 (2*2π)/568284 weeks
32.65206 -.81447 (3*2π)/568189 weeks
4.48868 .20349 (4*2π)/568142 weeks
5.09958 .18097 (5*2π)/568114 weeks
6-.22445 .22016 (6*2π)/56895 weeks
7-.65362 -.21048 (7*2π)/56881 weeks
8.03187 -1.00533 (8*2π)/56871 weeks
9.14718 -.44982 (9*2π)/56863 weeks
10-.0237 .20588 (10*2π)/56857 weeks
11.44869 -.0111 (11*2π)/56852 weeks
12.16209 .15283 (12*2π)/56847 weeks
13-.13235 -.06815 (13*2π)/56844 weeks
14-.1215 .10053 (14*2π)/56841 weeks
15-.31774 -.16575 (15*2π)/56838 weeks
16-.19377 -.15435 (16*2π)/56836 weeks
17-.19754 .01021 (17*2π)/56833 weeks
18-.08889 -.23944 (18*2π)/56832 weeks
19.14919 -.15122 (19*2π)/56830 weeks
20-.05117 -.15236 (20*2π)/56828 weeks
21.07276 .03825 (21*2π)/56827 weeks
22.12121 -.02763 (22*2π)/56826 weeks
23.08102 -.07941 (23*2π)/56825 weeks
24-.18201 -.09486 (24*2π)/56824 weeks
25.0062 .01819 (25*2π)/56823 weeks
26.10078 -.05473 (26*2π)/56822 weeks
27.23337 -.22526 (27*2π)/56821 weeks
28.05568 .04946 (28*2π)/56820 weeks
29.0071 .00029 (29*2π)/56820 weeks
30-.04648 .13688 (30*2π)/56819 weeks
31-.04797 .06999 (31*2π)/56818 weeks
32-.05025 -.11091 (32*2π)/56818 weeks
33-.01062 -.09622 (33*2π)/56817 weeks
34.09272 -.1172 (34*2π)/56817 weeks
35.22376 .03993 (35*2π)/56816 weeks
36.04898 .08309 (36*2π)/56816 weeks
37.04436 .00018 (37*2π)/56815 weeks
38-.02736 .03593 (38*2π)/56815 weeks
39.02584 -.01996 (39*2π)/56815 weeks
40-.02841 .01456 (40*2π)/56814 weeks
41-.10686 -.03687 (41*2π)/56814 weeks
42.05921 -.11574 (42*2π)/56814 weeks
43.03736 .02903 (43*2π)/56813 weeks
44-.02297 -.03612 (44*2π)/56813 weeks
45.06352 -.05106 (45*2π)/56813 weeks
46-.02926 .04837 (46*2π)/56812 weeks
47.01488 .04406 (47*2π)/56812 weeks
48-.00077 -.00709 (48*2π)/56812 weeks
49-.14997 -.02497 (49*2π)/56812 weeks
50-.02828 .0637 (50*2π)/56811 weeks
51-.03617 -.07082 (51*2π)/56811 weeks
52-.11339 -.018 (52*2π)/56811 weeks
53-.03708 -.04205 (53*2π)/56811 weeks
54-.05535 .01227 (54*2π)/56811 weeks
55-.01772 -.02936 (55*2π)/56810 weeks
56-.00291 -.0195 (56*2π)/56810 weeks
57-.05327 -.03133 (57*2π)/56810 weeks
58-.07288 -.08694 (58*2π)/56810 weeks
59.01457 -.00321 (59*2π)/56810 weeks
60.0161 -.05471 (60*2π)/5689 weeks
61-.02029 -.01719 (61*2π)/5689 weeks
62.01507 .00687 (62*2π)/5689 weeks
63-.02373 .00392 (63*2π)/5689 weeks
64-.02206 -.0184 (64*2π)/5689 weeks
65-.00601 .03945 (65*2π)/5689 weeks
66-.01505 -.00648 (66*2π)/5689 weeks
67-.05165 .02062 (67*2π)/5688 weeks
68.02776 .05492 (68*2π)/5688 weeks
69.00332 -.04396 (69*2π)/5688 weeks
70-.0323 .05804 (70*2π)/5688 weeks
71-.03972 -.02991 (71*2π)/5688 weeks
72-.01656 .01225 (72*2π)/5688 weeks
73-.05897 -.00724 (73*2π)/5688 weeks
74-.09086 -.03968 (74*2π)/5688 weeks
75-.00886 -.06712 (75*2π)/5688 weeks
76-.01895 -.12723 (76*2π)/5687 weeks
77.04769 -.02875 (77*2π)/5687 weeks
78.05123 .00903 (78*2π)/5687 weeks
79-.0132 -.08041 (79*2π)/5687 weeks
80.0487 .03194 (80*2π)/5687 weeks
81-.04137 .02146 (81*2π)/5687 weeks
82-.04453 -.08522 (82*2π)/5687 weeks
83-.00431 -.047 (83*2π)/5687 weeks
84-.00964 -.08 (84*2π)/5687 weeks
85.05556 -.02934 (85*2π)/5687 weeks
86.00586 -.03559 (86*2π)/5687 weeks
87.01848 -.03302 (87*2π)/5687 weeks
88-.02708 .01279 (88*2π)/5686 weeks
89-.04502 -.04414 (89*2π)/5686 weeks
90-.05179 -.03451 (90*2π)/5686 weeks
91-.00114 -.06148 (91*2π)/5686 weeks
92-.00863 -.07684 (92*2π)/5686 weeks
93.00053 -.02907 (93*2π)/5686 weeks
94-.02611 .00982 (94*2π)/5686 weeks
95-.01445 .00563 (95*2π)/5686 weeks
96-.01544 -.01045 (96*2π)/5686 weeks
97-.00017 -.03881 (97*2π)/5686 weeks
98.00983 .01176 (98*2π)/5686 weeks
99-.03861 -.0386 (99*2π)/5686 weeks
100-.03123 -.03216 (100*2π)/5686 weeks
101-.00767 -.01144 (101*2π)/5686 weeks
102.01139 -.02093 (102*2π)/5686 weeks
103.01193 -.02638 (103*2π)/5686 weeks
104-.01138 -.03273 (104*2π)/5685 weeks
105-.03316 .01366 (105*2π)/5685 weeks
106-.01154 .02085 (106*2π)/5685 weeks
107.00256 -.02488 (107*2π)/5685 weeks
108-.00638 -.0267 (108*2π)/5685 weeks
109-.0056 -.04646 (109*2π)/5685 weeks
110-.00068 .01762 (110*2π)/5685 weeks
111.02394 -.00626 (111*2π)/5685 weeks
112.01401 .00364 (112*2π)/5685 weeks
113-.04068 .00456 (113*2π)/5685 weeks
114-.04143 .00359 (114*2π)/5685 weeks
115-.00595 -.00063 (115*2π)/5685 weeks
116.00407 -.04077 (116*2π)/5685 weeks
117-.00983 -.03503 (117*2π)/5685 weeks
118.04071 -.02978 (118*2π)/5685 weeks
119-.00282 .03455 (119*2π)/5685 weeks
120.02289 .01912 (120*2π)/5685 weeks
121.00955 -.01809 (121*2π)/5685 weeks
122-.01385 .01957 (122*2π)/5685 weeks
123-.03318 -.00425 (123*2π)/5685 weeks
124-.01259 .00417 (124*2π)/5685 weeks
125-.00008 -.02263 (125*2π)/5685 weeks
126-.00212 -.0024 (126*2π)/5685 weeks
127-.00851 .01112 (127*2π)/5684 weeks
128-.05681 .01044 (128*2π)/5684 weeks
129-.00738 .01446 (129*2π)/5684 weeks
130-.00029 -.02399 (130*2π)/5684 weeks
131-.03541 -.04277 (131*2π)/5684 weeks
132-.0222 -.01427 (132*2π)/5684 weeks
133-.04317 -.04558 (133*2π)/5684 weeks
134-.02045 -.05987 (134*2π)/5684 weeks
135.00809 -.00107 (135*2π)/5684 weeks
136.01516 -.0384 (136*2π)/5684 weeks
137-.00566 -.05559 (137*2π)/5684 weeks
138-.0017 -.01205 (138*2π)/5684 weeks
139.0211 .01798 (139*2π)/5684 weeks
140.02824 -.00783 (140*2π)/5684 weeks
141-.0151 .01413 (141*2π)/5684 weeks
142-.04825 .01365 (142*2π)/5684 weeks
143.01193 -.01235 (143*2π)/5684 weeks
144.01908 -.00608 (144*2π)/5684 weeks
145-.01759 -.01585 (145*2π)/5684 weeks
146-.02525 .03361 (146*2π)/5684 weeks
147-.04317 .00531 (147*2π)/5684 weeks
148.00124 -.0067 (148*2π)/5684 weeks
149.03102 .01332 (149*2π)/5684 weeks
150-.01485 -.01491 (150*2π)/5684 weeks
151-.01168 -.0035 (151*2π)/5684 weeks
152.00402 .00419 (152*2π)/5684 weeks
153.01834 -.02665 (153*2π)/5684 weeks
154.01641 -.00572 (154*2π)/5684 weeks
155.01375 -.01898 (155*2π)/5684 weeks
156.01531 .03048 (156*2π)/5684 weeks
157-.00388 .00491 (157*2π)/5684 weeks
158.01828 -.02684 (158*2π)/5684 weeks
159.00988 -.01565 (159*2π)/5684 weeks
160.01926 .00431 (160*2π)/5684 weeks
161.01405 .01939 (161*2π)/5684 weeks
162.02453 .00613 (162*2π)/5684 weeks
163.03772 -.01169 (163*2π)/5683 weeks
164.0322 .04142 (164*2π)/5683 weeks
165-.01608 -.01054 (165*2π)/5683 weeks
166-.00435 -.0149 (166*2π)/5683 weeks
167-.00705 .00308 (167*2π)/5683 weeks
168-.00947 -.01116 (168*2π)/5683 weeks
169-.02314 -.01672 (169*2π)/5683 weeks
170.01716 -.01195 (170*2π)/5683 weeks
171-.0076 .00824 (171*2π)/5683 weeks
172.01016 -.00084 (172*2π)/5683 weeks
173-.00887 .0072 (173*2π)/5683 weeks
174-.02412 -.00685 (174*2π)/5683 weeks
175-.01783 .00936 (175*2π)/5683 weeks
176-.01693 -.01219 (176*2π)/5683 weeks
177-.01334 -.00198 (177*2π)/5683 weeks
178.01876 -.00818 (178*2π)/5683 weeks
179-.01605 -.02185 (179*2π)/5683 weeks
180-.02037 -.00496 (180*2π)/5683 weeks
181-.03658 .01217 (181*2π)/5683 weeks
182-.03484 .01047 (182*2π)/5683 weeks
183-.03271 -.00216 (183*2π)/5683 weeks
184-.0419 -.00857 (184*2π)/5683 weeks
185-.03024 -.02916 (185*2π)/5683 weeks
186-.02586 -.01409 (186*2π)/5683 weeks
187-.00857 -.00278 (187*2π)/5683 weeks
188-.00241 -.01129 (188*2π)/5683 weeks
189-.02721 -.00229 (189*2π)/5683 weeks
190-.01264 .01562 (190*2π)/5683 weeks
191.00234 -.00292 (191*2π)/5683 weeks
192-.02341 .00161 (192*2π)/5683 weeks
193-.02627 .0004 (193*2π)/5683 weeks
194-.01123 .01247 (194*2π)/5683 weeks
195-.01851 .0212 (195*2π)/5683 weeks
196-.03128 -.00198 (196*2π)/5683 weeks
197-.0391 .01243 (197*2π)/5683 weeks
198-.0287 .00391 (198*2π)/5683 weeks
199-.01617 -.02713 (199*2π)/5683 weeks
200-.02953 -.00416 (200*2π)/5683 weeks
201-.03121 -.02792 (201*2π)/5683 weeks
202.05029 .00752 (202*2π)/5683 weeks
203-.00601 -.00399 (203*2π)/5683 weeks
204.0211 .00071 (204*2π)/5683 weeks
205-.01062 -.00082 (205*2π)/5683 weeks
206-.00805 -.01282 (206*2π)/5683 weeks
207.03216 .0053 (207*2π)/5683 weeks
208-.01387 -.00057 (208*2π)/5683 weeks
209.02092 -.01564 (209*2π)/5683 weeks
210-.00252 .02872 (210*2π)/5683 weeks
211.00154 -.0046 (211*2π)/5683 weeks
212.01294 .02596 (212*2π)/5683 weeks
213.0059 .03446 (213*2π)/5683 weeks
214-.02201 .00918 (214*2π)/5683 weeks
215-.01274 -.00171 (215*2π)/5683 weeks
216-.00216 -.01223 (216*2π)/5683 weeks
217.01583 -.01012 (217*2π)/5683 weeks
218.01046 .00359 (218*2π)/5683 weeks
219.01007 .00436 (219*2π)/5683 weeks
220.01533 .01143 (220*2π)/5683 weeks
221-.02693 .00917 (221*2π)/5683 weeks
222-.00106 -.01067 (222*2π)/5683 weeks
223.01042 -.01804 (223*2π)/5683 weeks
224.02322 -.02628 (224*2π)/5683 weeks
225.01584 .00766 (225*2π)/5683 weeks
226-.01273 .02357 (226*2π)/5683 weeks
227-.00261 -.00576 (227*2π)/5683 weeks
228.00806 -.00408 (228*2π)/5682 weeks
229-.01496 .01096 (229*2π)/5682 weeks
230-.01244 -.0092 (230*2π)/5682 weeks
231.00775 -.00022 (231*2π)/5682 weeks
232-.01566 .01397 (232*2π)/5682 weeks
233.0025 -.01152 (233*2π)/5682 weeks
234.00038 .00134 (234*2π)/5682 weeks
235-.01222 -.00734 (235*2π)/5682 weeks
236.03428 .01895 (236*2π)/5682 weeks
237-.00834 -.00455 (237*2π)/5682 weeks
238-.02938 -.00161 (238*2π)/5682 weeks
239-.01234 .00582 (239*2π)/5682 weeks
240-.00646 .00099 (240*2π)/5682 weeks
241-.00115 -.01319 (241*2π)/5682 weeks
242-.00517 -.01183 (242*2π)/5682 weeks
243-.00042 -.00767 (243*2π)/5682 weeks
244.00536 -.00523 (244*2π)/5682 weeks
245-.00479 .01191 (245*2π)/5682 weeks
246-.00531 .00127 (246*2π)/5682 weeks
247-.02097 .03868 (247*2π)/5682 weeks
248-.00122 -.00215 (248*2π)/5682 weeks
249-.01042 .00596 (249*2π)/5682 weeks
250-.01916 -.0093 (250*2π)/5682 weeks
251-.01187 .00223 (251*2π)/5682 weeks
252-.0259 .00081 (252*2π)/5682 weeks
253-.0132 -.01083 (253*2π)/5682 weeks
254-.02563 .00752 (254*2π)/5682 weeks
255-.04141 .02359 (255*2π)/5682 weeks
256-.00434 -.01692 (256*2π)/5682 weeks
257-.03146 -.027 (257*2π)/5682 weeks
258.00031 -.00983 (258*2π)/5682 weeks
259.00884 -.00549 (259*2π)/5682 weeks
260.0046 .00104 (260*2π)/5682 weeks
261.017 .00388 (261*2π)/5682 weeks
262.00108 .00308 (262*2π)/5682 weeks
263-.02813 .00222 (263*2π)/5682 weeks
264-.00925 .02043 (264*2π)/5682 weeks
265-.03825 -.01289 (265*2π)/5682 weeks
266-.00404 -.0238 (266*2π)/5682 weeks
267.00762 -.00764 (267*2π)/5682 weeks
268-.01587 -.02821 (268*2π)/5682 weeks
269-.00056 -.00283 (269*2π)/5682 weeks
270-.00978 .02446 (270*2π)/5682 weeks
271-.0077 .02136 (271*2π)/5682 weeks
272.00488 -.0381 (272*2π)/5682 weeks
273.0006 -.02069 (273*2π)/5682 weeks
274-.00682 -.01289 (274*2π)/5682 weeks
275-.00021 -.00369 (275*2π)/5682 weeks
276.01932 -.02282 (276*2π)/5682 weeks
277.00838 .01098 (277*2π)/5682 weeks
278-.02609 .02205 (278*2π)/5682 weeks
279-.01111 .00092 (279*2π)/5682 weeks
280.00284 .00691 (280*2π)/5682 weeks
281-.01002 -.01963 (281*2π)/5682 weeks
282-.01954 .01405 (282*2π)/5682 weeks
283-.01878 -.00621 (283*2π)/5682 weeks
284.01086   (284*2π)/5682 weeks
285-.01878 .00621 (285*2π)/5682 weeks
286-.01954 -.01405 (286*2π)/5682 weeks
287-.01002 .01963 (287*2π)/5682 weeks
288.00284 -.00691 (288*2π)/5682 weeks
289-.01111 -.00092 (289*2π)/5682 weeks
290-.02609 -.02205 (290*2π)/5682 weeks
291.00838 -.01098 (291*2π)/5682 weeks
292.01932 .02282 (292*2π)/5682 weeks
293-.00021 .00369 (293*2π)/5682 weeks
294-.00682 .01289 (294*2π)/5682 weeks
295.0006 .02069 (295*2π)/5682 weeks
296.00488 .0381 (296*2π)/5682 weeks
297-.0077 -.02136 (297*2π)/5682 weeks
298-.00978 -.02446 (298*2π)/5682 weeks
299-.00056 .00283 (299*2π)/5682 weeks
300-.01587 .02821 (300*2π)/5682 weeks
301.00762 .00764 (301*2π)/5682 weeks
302-.00404 .0238 (302*2π)/5682 weeks
303-.03825 .01289 (303*2π)/5682 weeks
304-.00925 -.02043 (304*2π)/5682 weeks
305-.02813 -.00222 (305*2π)/5682 weeks
306.00108 -.00308 (306*2π)/5682 weeks
307.017 -.00388 (307*2π)/5682 weeks
308.0046 -.00104 (308*2π)/5682 weeks
309.00884 .00549 (309*2π)/5682 weeks
310.00031 .00983 (310*2π)/5682 weeks
311-.03146 .027 (311*2π)/5682 weeks
312-.00434 .01692 (312*2π)/5682 weeks
313-.04141 -.02359 (313*2π)/5682 weeks
314-.02563 -.00752 (314*2π)/5682 weeks
315-.0132 .01083 (315*2π)/5682 weeks
316-.0259 -.00081 (316*2π)/5682 weeks
317-.01187 -.00223 (317*2π)/5682 weeks
318-.01916 .0093 (318*2π)/5682 weeks
319-.01042 -.00596 (319*2π)/5682 weeks
320-.00122 .00215 (320*2π)/5682 weeks
321-.02097 -.03868 (321*2π)/5682 weeks
322-.00531 -.00127 (322*2π)/5682 weeks
323-.00479 -.01191 (323*2π)/5682 weeks
324.00536 .00523 (324*2π)/5682 weeks
325-.00042 .00767 (325*2π)/5682 weeks
326-.00517 .01183 (326*2π)/5682 weeks
327-.00115 .01319 (327*2π)/5682 weeks
328-.00646 -.00099 (328*2π)/5682 weeks
329-.01234 -.00582 (329*2π)/5682 weeks
330-.02938 .00161 (330*2π)/5682 weeks
331-.00834 .00455 (331*2π)/5682 weeks
332.03428 -.01895 (332*2π)/5682 weeks
333-.01222 .00734 (333*2π)/5682 weeks
334.00038 -.00134 (334*2π)/5682 weeks
335.0025 .01152 (335*2π)/5682 weeks
336-.01566 -.01397 (336*2π)/5682 weeks
337.00775 .00022 (337*2π)/5682 weeks
338-.01244 .0092 (338*2π)/5682 weeks
339-.01496 -.01096 (339*2π)/5682 weeks
340.00806 .00408 (340*2π)/5682 weeks
341-.00261 .00576 (341*2π)/5682 weeks
342-.01273 -.02357 (342*2π)/5682 weeks
343.01584 -.00766 (343*2π)/5682 weeks
344.02322 .02628 (344*2π)/5682 weeks
345.01042 .01804 (345*2π)/5682 weeks
346-.00106 .01067 (346*2π)/5682 weeks
347-.02693 -.00917 (347*2π)/5682 weeks
348.01533 -.01143 (348*2π)/5682 weeks
349.01007 -.00436 (349*2π)/5682 weeks
350.01046 -.00359 (350*2π)/5682 weeks
351.01583 .01012 (351*2π)/5682 weeks
352-.00216 .01223 (352*2π)/5682 weeks
353-.01274 .00171 (353*2π)/5682 weeks
354-.02201 -.00918 (354*2π)/5682 weeks
355.0059 -.03446 (355*2π)/5682 weeks
356.01294 -.02596 (356*2π)/5682 weeks
357.00154 .0046 (357*2π)/5682 weeks
358-.00252 -.02872 (358*2π)/5682 weeks
359.02092 .01564 (359*2π)/5682 weeks
360-.01387 .00057 (360*2π)/5682 weeks
361.03216 -.0053 (361*2π)/5682 weeks
362-.00805 .01282 (362*2π)/5682 weeks
363-.01062 .00082 (363*2π)/5682 weeks
364.0211 -.00071 (364*2π)/5682 weeks
365-.00601 .00399 (365*2π)/5682 weeks
366.05029 -.00752 (366*2π)/5682 weeks
367-.03121 .02792 (367*2π)/5682 weeks
368-.02953 .00416 (368*2π)/5682 weeks
369-.01617 .02713 (369*2π)/5682 weeks
370-.0287 -.00391 (370*2π)/5682 weeks
371-.0391 -.01243 (371*2π)/5682 weeks
372-.03128 .00198 (372*2π)/5682 weeks
373-.01851 -.0212 (373*2π)/5682 weeks
374-.01123 -.01247 (374*2π)/5682 weeks
375-.02627 -.0004 (375*2π)/5682 weeks
376-.02341 -.00161 (376*2π)/5682 weeks
377.00234 .00292 (377*2π)/5682 weeks
378-.01264 -.01562 (378*2π)/5682 weeks
379-.02721 .00229 (379*2π)/5681 weeks
380-.00241 .01129 (380*2π)/5681 weeks
381-.00857 .00278 (381*2π)/5681 weeks
382-.02586 .01409 (382*2π)/5681 weeks
383-.03024 .02916 (383*2π)/5681 weeks
384-.0419 .00857 (384*2π)/5681 weeks
385-.03271 .00216 (385*2π)/5681 weeks
386-.03484 -.01047 (386*2π)/5681 weeks
387-.03658 -.01217 (387*2π)/5681 weeks
388-.02037 .00496 (388*2π)/5681 weeks
389-.01605 .02185 (389*2π)/5681 weeks
390.01876 .00818 (390*2π)/5681 weeks
391-.01334 .00198 (391*2π)/5681 weeks
392-.01693 .01219 (392*2π)/5681 weeks
393-.01783 -.00936 (393*2π)/5681 weeks
394-.02412 .00685 (394*2π)/5681 weeks
395-.00887 -.0072 (395*2π)/5681 weeks
396.01016 .00084 (396*2π)/5681 weeks
397-.0076 -.00824 (397*2π)/5681 weeks
398.01716 .01195 (398*2π)/5681 weeks
399-.02314 .01672 (399*2π)/5681 weeks
400-.00947 .01116 (400*2π)/5681 weeks
401-.00705 -.00308 (401*2π)/5681 weeks
402-.00435 .0149 (402*2π)/5681 weeks
403-.01608 .01054 (403*2π)/5681 weeks
404.0322 -.04142 (404*2π)/5681 weeks
405.03772 .01169 (405*2π)/5681 weeks
406.02453 -.00613 (406*2π)/5681 weeks
407.01405 -.01939 (407*2π)/5681 weeks
408.01926 -.00431 (408*2π)/5681 weeks
409.00988 .01565 (409*2π)/5681 weeks
410.01828 .02684 (410*2π)/5681 weeks
411-.00388 -.00491 (411*2π)/5681 weeks
412.01531 -.03048 (412*2π)/5681 weeks
413.01375 .01898 (413*2π)/5681 weeks
414.01641 .00572 (414*2π)/5681 weeks
415.01834 .02665 (415*2π)/5681 weeks
416.00402 -.00419 (416*2π)/5681 weeks
417-.01168 .0035 (417*2π)/5681 weeks
418-.01485 .01491 (418*2π)/5681 weeks
419.03102 -.01332 (419*2π)/5681 weeks
420.00124 .0067 (420*2π)/5681 weeks
421-.04317 -.00531 (421*2π)/5681 weeks
422-.02525 -.03361 (422*2π)/5681 weeks
423-.01759 .01585 (423*2π)/5681 weeks
424.01908 .00608 (424*2π)/5681 weeks
425.01193 .01235 (425*2π)/5681 weeks
426-.04825 -.01365 (426*2π)/5681 weeks
427-.0151 -.01413 (427*2π)/5681 weeks
428.02824 .00783 (428*2π)/5681 weeks
429.0211 -.01798 (429*2π)/5681 weeks
430-.0017 .01205 (430*2π)/5681 weeks
431-.00566 .05559 (431*2π)/5681 weeks
432.01516 .0384 (432*2π)/5681 weeks
433.00809 .00107 (433*2π)/5681 weeks
434-.02045 .05987 (434*2π)/5681 weeks
435-.04317 .04558 (435*2π)/5681 weeks
436-.0222 .01427 (436*2π)/5681 weeks
437-.03541 .04277 (437*2π)/5681 weeks
438-.00029 .02399 (438*2π)/5681 weeks
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