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Fourier Analysis of PBW (PowerShares WilderHill Clean En)


PBW (PowerShares WilderHill Clean En) appears to have interesting cyclic behaviour every 52 weeks (.4677*sine), 44 weeks (.3817*sine), and 56 weeks (.3601*sine).

PBW (PowerShares WilderHill Clean En) has an average price of 9.12 (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 3/3/2005 to 1/17/2017 for PBW (PowerShares WilderHill Clean En), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
09.12403   0 
11.69625 5.75379 (1*2π)/621621 weeks
2-1.59155 2.22355 (2*2π)/621311 weeks
3-1.58698 .63056 (3*2π)/621207 weeks
41.27679 .42514 (4*2π)/621155 weeks
5-.13234 1.39684 (5*2π)/621124 weeks
6-.99456 .66415 (6*2π)/621104 weeks
7-.31396 -.39127 (7*2π)/62189 weeks
8.53775 .25324 (8*2π)/62178 weeks
9-.32988 .18759 (9*2π)/62169 weeks
10.30991 -.07048 (10*2π)/62162 weeks
11.15967 .36007 (11*2π)/62156 weeks
12-.03435 .4677 (12*2π)/62152 weeks
13-.02961 .08836 (13*2π)/62148 weeks
14.24247 .38165 (14*2π)/62144 weeks
15-.19511 .35938 (15*2π)/62141 weeks
16-.33178 -.05978 (16*2π)/62139 weeks
17.08775 -.1048 (17*2π)/62137 weeks
18-.00987 .17774 (18*2π)/62135 weeks
19-.06776 .14927 (19*2π)/62133 weeks
20.05138 -.12963 (20*2π)/62131 weeks
21.32257 -.01168 (21*2π)/62130 weeks
22.21607 .16778 (22*2π)/62128 weeks
23-.03343 .2211 (23*2π)/62127 weeks
24.03623 .12038 (24*2π)/62126 weeks
25.07627 .08878 (25*2π)/62125 weeks
26.03723 .1603 (26*2π)/62124 weeks
27.03884 .09201 (27*2π)/62123 weeks
28.01438 .16865 (28*2π)/62122 weeks
29.0285 .06817 (29*2π)/62121 weeks
30.19377 -.00123 (30*2π)/62121 weeks
31.06186 .24364 (31*2π)/62120 weeks
32-.09514 .19202 (32*2π)/62119 weeks
33-.00568 -.05856 (33*2π)/62119 weeks
34.1561 .05448 (34*2π)/62118 weeks
35-.07634 .22691 (35*2π)/62118 weeks
36-.09717 .00575 (36*2π)/62117 weeks
37.12167 -.04348 (37*2π)/62117 weeks
38.02564 .17005 (38*2π)/62116 weeks
39-.03917 -.00166 (39*2π)/62116 weeks
40.09038 .01328 (40*2π)/62116 weeks
41.1394 .10364 (41*2π)/62115 weeks
42.04416 .15906 (42*2π)/62115 weeks
43-.03492 .1159 (43*2π)/62114 weeks
44.06657 .04262 (44*2π)/62114 weeks
45.03016 .13822 (45*2π)/62114 weeks
46.00518 -.03523 (46*2π)/62114 weeks
47.07962 .08276 (47*2π)/62113 weeks
48-.02473 .06243 (48*2π)/62113 weeks
49.00592 .06401 (49*2π)/62113 weeks
50.08098 .02932 (50*2π)/62112 weeks
51.10761 .10306 (51*2π)/62112 weeks
52-.00952 .17768 (52*2π)/62112 weeks
53-.11522 .09073 (53*2π)/62112 weeks
54.04107 .02633 (54*2π)/62112 weeks
55.11638 .06683 (55*2π)/62111 weeks
56-.03654 .11253 (56*2π)/62111 weeks
57-.09668 .0783 (57*2π)/62111 weeks
58-.03561 -.01835 (58*2π)/62111 weeks
59-.00091 -.00656 (59*2π)/62111 weeks
60.01979 .0147 (60*2π)/62110 weeks
61.0111 .01495 (61*2π)/62110 weeks
62.03775 .04671 (62*2π)/62110 weeks
63-.00726 .00382 (63*2π)/62110 weeks
64.12192 .06547 (64*2π)/62110 weeks
65.0477 .09825 (65*2π)/62110 weeks
66.00226 .04436 (66*2π)/6219 weeks
67.05046 .02568 (67*2π)/6219 weeks
68.04013 .08464 (68*2π)/6219 weeks
69.00207 .07481 (69*2π)/6219 weeks
70-.02098 .08004 (70*2π)/6219 weeks
71-.02886 -.02805 (71*2π)/6219 weeks
72.04702 .01841 (72*2π)/6219 weeks
73.05206 .13202 (73*2π)/6219 weeks
74-.01851 .09941 (74*2π)/6218 weeks
75.00646 .00269 (75*2π)/6218 weeks
76.011 .00896 (76*2π)/6218 weeks
77-.00144 .07585 (77*2π)/6218 weeks
78-.00736 .03184 (78*2π)/6218 weeks
79-.02446 .00526 (79*2π)/6218 weeks
80.04073 -.05293 (80*2π)/6218 weeks
81.10348 .07495 (81*2π)/6218 weeks
82-.02547 .09471 (82*2π)/6218 weeks
83-.04968 -.03359 (83*2π)/6217 weeks
84.07653 .00655 (84*2π)/6217 weeks
85.00642 .0779 (85*2π)/6217 weeks
86.03499 .05183 (86*2π)/6217 weeks
87-.01257 -.00974 (87*2π)/6217 weeks
88.05339 .01232 (88*2π)/6217 weeks
89.00171 .03729 (89*2π)/6217 weeks
90.03879 .05121 (90*2π)/6217 weeks
91.02661 .027 (91*2π)/6217 weeks
92-.01017 .02878 (92*2π)/6217 weeks
93.03241 .01927 (93*2π)/6217 weeks
94.02904 .05047 (94*2π)/6217 weeks
95.00281 .04697 (95*2π)/6217 weeks
96.01246 -.01414 (96*2π)/6216 weeks
97.0761 .0345 (97*2π)/6216 weeks
98.01194 .08669 (98*2π)/6216 weeks
99-.05265 .00761 (99*2π)/6216 weeks
100.01156 -.00303 (100*2π)/6216 weeks
101.00675 .03114 (101*2π)/6216 weeks
102.01303 .0232 (102*2π)/6216 weeks
103.01799 .03754 (103*2π)/6216 weeks
104.00008 .04423 (104*2π)/6216 weeks
105-.00397 .00027 (105*2π)/6216 weeks
106.03299 .04369 (106*2π)/6216 weeks
107-.0005 .02009 (107*2π)/6216 weeks
108.02167 .02883 (108*2π)/6216 weeks
109-.00512 .00062 (109*2π)/6216 weeks
110.04045 -.00999 (110*2π)/6216 weeks
111.06088 .03397 (111*2π)/6216 weeks
112.00925 .04332 (112*2π)/6216 weeks
113-.00007 -.00413 (113*2π)/6215 weeks
114.00605 .0099 (114*2π)/6215 weeks
115.01269 .01174 (115*2π)/6215 weeks
116.03366 .00597 (116*2π)/6215 weeks
117.03114 .03297 (117*2π)/6215 weeks
118.01058 .04154 (118*2π)/6215 weeks
119-.00395 .00471 (119*2π)/6215 weeks
120.06837 .02604 (120*2π)/6215 weeks
121.03104 .03035 (121*2π)/6215 weeks
122.00207 .01282 (122*2π)/6215 weeks
123.05801 -.00565 (123*2π)/6215 weeks
124.01882 .0671 (124*2π)/6215 weeks
125-.02054 .01367 (125*2π)/6215 weeks
126.05238 .01474 (126*2π)/6215 weeks
127.03682 .06437 (127*2π)/6215 weeks
128-.02401 .07004 (128*2π)/6215 weeks
129-.03893 -.01829 (129*2π)/6215 weeks
130.04299 .00424 (130*2π)/6215 weeks
131-.01159 .03251 (131*2π)/6215 weeks
132.00186 -.00919 (132*2π)/6215 weeks
133.0403 -.03338 (133*2π)/6215 weeks
134.06417 .03477 (134*2π)/6215 weeks
135-.00912 .04274 (135*2π)/6215 weeks
136-.00364 .00641 (136*2π)/6215 weeks
137.03055 .02543 (137*2π)/6215 weeks
138-.00567 .03163 (138*2π)/6215 weeks
139.01035 -.01091 (139*2π)/6214 weeks
140.01263 .01408 (140*2π)/6214 weeks
141.01523 .00741 (141*2π)/6214 weeks
142.0405 .00071 (142*2π)/6214 weeks
143.0535 .01036 (143*2π)/6214 weeks
144.04867 .02581 (144*2π)/6214 weeks
145.02135 .03924 (145*2π)/6214 weeks
146.00683 .02065 (146*2π)/6214 weeks
147.04244 .03282 (147*2π)/6214 weeks
148.00635 .03313 (148*2π)/6214 weeks
149-.02072 .03025 (149*2π)/6214 weeks
150-.03741 -.01684 (150*2π)/6214 weeks
151.04074 -.01749 (151*2π)/6214 weeks
152.03993 .04419 (152*2π)/6214 weeks
153-.00267 .03017 (153*2π)/6214 weeks
154.01991 -.0145 (154*2π)/6214 weeks
155.04838 .03305 (155*2π)/6214 weeks
156.01428 .01283 (156*2π)/6214 weeks
157.02119 .01575 (157*2π)/6214 weeks
158-.01155 .01478 (158*2π)/6214 weeks
159.0029 -.00649 (159*2π)/6214 weeks
160.03832 .00783 (160*2π)/6214 weeks
161.01165 .00752 (161*2π)/6214 weeks
162.03951 .01251 (162*2π)/6214 weeks
163.01431 .05438 (163*2π)/6214 weeks
164.02303 .01723 (164*2π)/6214 weeks
165.02174 .02159 (165*2π)/6214 weeks
166.01165 .01485 (166*2π)/6214 weeks
167.01348 .00018 (167*2π)/6214 weeks
168.02539 .03265 (168*2π)/6214 weeks
169.01812 .02635 (169*2π)/6214 weeks
170.01015 .01065 (170*2π)/6214 weeks
171.04069 .02823 (171*2π)/6214 weeks
172.00343 .04464 (172*2π)/6214 weeks
173.01337 .03359 (173*2π)/6214 weeks
174.00128 .03178 (174*2π)/6214 weeks
175-.00042 .00483 (175*2π)/6214 weeks
176.01599 .0066 (176*2π)/6214 weeks
177.00604 .01502 (177*2π)/6214 weeks
178.00801 .00854 (178*2π)/6213 weeks
179-.01509 .00211 (179*2π)/6213 weeks
180.03085 -.02872 (180*2π)/6213 weeks
181.05488 .01767 (181*2π)/6213 weeks
182.03343 .03511 (182*2π)/6213 weeks
183-.00419 .03102 (183*2π)/6213 weeks
184.01587 .00293 (184*2π)/6213 weeks
185.02408 .02271 (185*2π)/6213 weeks
186.00244 .00663 (186*2π)/6213 weeks
187.0193 .00896 (187*2π)/6213 weeks
188.01177 .02619 (188*2π)/6213 weeks
189-.01097 .01098 (189*2π)/6213 weeks
190.01553 -.02155 (190*2π)/6213 weeks
191.03528 .00983 (191*2π)/6213 weeks
192.01152 .01664 (192*2π)/6213 weeks
193.02278 .01226 (193*2π)/6213 weeks
194.0328 .0149 (194*2π)/6213 weeks
195.00331 .02412 (195*2π)/6213 weeks
196.00023 .00043 (196*2π)/6213 weeks
197.02293 .00383 (197*2π)/6213 weeks
198-.01105 .02967 (198*2π)/6213 weeks
199-.01869 .00222 (199*2π)/6213 weeks
200.01625 -.02557 (200*2π)/6213 weeks
201.04769 .00169 (201*2π)/6213 weeks
202.00445 .03233 (202*2π)/6213 weeks
203.00735 -.01471 (203*2π)/6213 weeks
204.04108 .00077 (204*2π)/6213 weeks
205.0259 .01908 (205*2π)/6213 weeks
206.006 .00691 (206*2π)/6213 weeks
207.01188 .00411 (207*2π)/6213 weeks
208.01755 .00629 (208*2π)/6213 weeks
209.02657 .00569 (209*2π)/6213 weeks
210.01661 .00734 (210*2π)/6213 weeks
211.03647 .00572 (211*2π)/6213 weeks
212.02687 .01387 (212*2π)/6213 weeks
213.0281 .02978 (213*2π)/6213 weeks
214-.00109 .03613 (214*2π)/6213 weeks
215-.00704 .00211 (215*2π)/6213 weeks
216.02268 -.00526 (216*2π)/6213 weeks
217.01289 .03402 (217*2π)/6213 weeks
218-.00915 .00477 (218*2π)/6213 weeks
219-.00209 -.02543 (219*2π)/6213 weeks
220.05881 -.01473 (220*2π)/6213 weeks
221.00334 .04011 (221*2π)/6213 weeks
222.00173 -.00004 (222*2π)/6213 weeks
223.02647 -.00206 (223*2π)/6213 weeks
224.01282 .01672 (224*2π)/6213 weeks
225.02066 .00843 (225*2π)/6213 weeks
226.00619 .02677 (226*2π)/6213 weeks
227-.00524 -.01197 (227*2π)/6213 weeks
228-.00184 -.01006 (228*2π)/6213 weeks
229.04241 -.00819 (229*2π)/6213 weeks
230.02536 .00405 (230*2π)/6213 weeks
231.02952 .02823 (231*2π)/6213 weeks
232-.00824 .006 (232*2π)/6213 weeks
233.02316 -.01045 (233*2π)/6213 weeks
234.02102 .01854 (234*2π)/6213 weeks
235.00184 .01489 (235*2π)/6213 weeks
236.01285 -.00099 (236*2π)/6213 weeks
237.00913 .0048 (237*2π)/6213 weeks
238.01741 -.00958 (238*2π)/6213 weeks
239.0164 -.0001 (239*2π)/6213 weeks
240.01155 .0053 (240*2π)/6213 weeks
241-.00106 -.00882 (241*2π)/6213 weeks
242.03546 -.01249 (242*2π)/6213 weeks
243.03168 .02032 (243*2π)/6213 weeks
244.0022 .01486 (244*2π)/6213 weeks
245.02719 -.00211 (245*2π)/6213 weeks
246.0212 .01068 (246*2π)/6213 weeks
247.01411 -.01523 (247*2π)/6213 weeks
248.02327 .00896 (248*2π)/6213 weeks
249.01017 -.00108 (249*2π)/6212 weeks
250.03494 .00958 (250*2π)/6212 weeks
251.01884 -.00521 (251*2π)/6212 weeks
252.02385 .01059 (252*2π)/6212 weeks
253.00593 .00513 (253*2π)/6212 weeks
254.03378 .01134 (254*2π)/6212 weeks
255.02154 .01754 (255*2π)/6212 weeks
256.00863 .01599 (256*2π)/6212 weeks
257.00579 .00844 (257*2π)/6212 weeks
258-.00988 -.00375 (258*2π)/6212 weeks
259.01269 -.00479 (259*2π)/6212 weeks
260.02012 -.00782 (260*2π)/6212 weeks
261.02961 -.00084 (261*2π)/6212 weeks
262.01879 -.00472 (262*2π)/6212 weeks
263.0295 .0084 (263*2π)/6212 weeks
264.01554 .00146 (264*2π)/6212 weeks
265.01597 -.00063 (265*2π)/6212 weeks
266.04095 .01001 (266*2π)/6212 weeks
267.02224 .0205 (267*2π)/6212 weeks
268.00664 .00972 (268*2π)/6212 weeks
269.00202 -.00178 (269*2π)/6212 weeks
270.0375 .00493 (270*2π)/6212 weeks
271.01563 .0044 (271*2π)/6212 weeks
272.02473 -.00126 (272*2π)/6212 weeks
273.01249 -.0045 (273*2π)/6212 weeks
274.02383 -.00309 (274*2π)/6212 weeks
275.03301 .01807 (275*2π)/6212 weeks
276.00511 .01281 (276*2π)/6212 weeks
277.0182 -.00531 (277*2π)/6212 weeks
278.02438 .00368 (278*2π)/6212 weeks
279.04051 .00735 (279*2π)/6212 weeks
280.00767 .02118 (280*2π)/6212 weeks
281-.01413 -.0014 (281*2π)/6212 weeks
282.02152 -.02176 (282*2π)/6212 weeks
283.04108 .01263 (283*2π)/6212 weeks
284.00452 .00238 (284*2π)/6212 weeks
285.00557 -.00537 (285*2π)/6212 weeks
286.02563 -.00416 (286*2π)/6212 weeks
287.029 .02222 (287*2π)/6212 weeks
288.01802 .00263 (288*2π)/6212 weeks
289.02211 -.01191 (289*2π)/6212 weeks
290.02679 .03913 (290*2π)/6212 weeks
291-.01963 .0165 (291*2π)/6212 weeks
292.00506 -.01932 (292*2π)/6212 weeks
293.02554 -.01926 (293*2π)/6212 weeks
294.022 .00758 (294*2π)/6212 weeks
295.02332 -.01438 (295*2π)/6212 weeks
296.03387 .00637 (296*2π)/6212 weeks
297.00361 .01752 (297*2π)/6212 weeks
298.0132 .01324 (298*2π)/6212 weeks
299.00713 .01041 (299*2π)/6212 weeks
300-.00163 .00522 (300*2π)/6212 weeks
301.01256 -.01243 (301*2π)/6212 weeks
302.03517 -.01186 (302*2π)/6212 weeks
303.02751 .02113 (303*2π)/6212 weeks
304-.00291 .00267 (304*2π)/6212 weeks
305.01897 .0041 (305*2π)/6212 weeks
306-.00807 .00832 (306*2π)/6212 weeks
307.00263 -.01182 (307*2π)/6212 weeks
308.02178 .00359 (308*2π)/6212 weeks
309.02256 .00508 (309*2π)/6212 weeks
310.00064 .0225 (310*2π)/6212 weeks
311.00064 -.0225 (311*2π)/6212 weeks
312.02256 -.00508 (312*2π)/6212 weeks
313.02178 -.00359 (313*2π)/6212 weeks
314.00263 .01182 (314*2π)/6212 weeks
315-.00807 -.00832 (315*2π)/6212 weeks
316.01897 -.0041 (316*2π)/6212 weeks
317-.00291 -.00267 (317*2π)/6212 weeks
318.02751 -.02113 (318*2π)/6212 weeks
319.03517 .01186 (319*2π)/6212 weeks
320.01256 .01243 (320*2π)/6212 weeks
321-.00163 -.00522 (321*2π)/6212 weeks
322.00713 -.01041 (322*2π)/6212 weeks
323.0132 -.01324 (323*2π)/6212 weeks
324.00361 -.01752 (324*2π)/6212 weeks
325.03387 -.00637 (325*2π)/6212 weeks
326.02332 .01438 (326*2π)/6212 weeks
327.022 -.00758 (327*2π)/6212 weeks
328.02554 .01926 (328*2π)/6212 weeks
329.00506 .01932 (329*2π)/6212 weeks
330-.01963 -.0165 (330*2π)/6212 weeks
331.02679 -.03913 (331*2π)/6212 weeks
332.02211 .01191 (332*2π)/6212 weeks
333.01802 -.00263 (333*2π)/6212 weeks
334.029 -.02222 (334*2π)/6212 weeks
335.02563 .00416 (335*2π)/6212 weeks
336.00557 .00537 (336*2π)/6212 weeks
337.00452 -.00238 (337*2π)/6212 weeks
338.04108 -.01263 (338*2π)/6212 weeks
339.02152 .02176 (339*2π)/6212 weeks
340-.01413 .0014 (340*2π)/6212 weeks
341.00767 -.02118 (341*2π)/6212 weeks
342.04051 -.00735 (342*2π)/6212 weeks
343.02438 -.00368 (343*2π)/6212 weeks
344.0182 .00531 (344*2π)/6212 weeks
345.00511 -.01281 (345*2π)/6212 weeks
346.03301 -.01807 (346*2π)/6212 weeks
347.02383 .00309 (347*2π)/6212 weeks
348.01249 .0045 (348*2π)/6212 weeks
349.02473 .00126 (349*2π)/6212 weeks
350.01563 -.0044 (350*2π)/6212 weeks
351.0375 -.00493 (351*2π)/6212 weeks
352.00202 .00178 (352*2π)/6212 weeks
353.00664 -.00972 (353*2π)/6212 weeks
354.02224 -.0205 (354*2π)/6212 weeks
355.04095 -.01001 (355*2π)/6212 weeks
356.01597 .00063 (356*2π)/6212 weeks
357.01554 -.00146 (357*2π)/6212 weeks
358.0295 -.0084 (358*2π)/6212 weeks
359.01879 .00472 (359*2π)/6212 weeks
360.02961 .00084 (360*2π)/6212 weeks
361.02012 .00782 (361*2π)/6212 weeks
362.01269 .00479 (362*2π)/6212 weeks
363-.00988 .00375 (363*2π)/6212 weeks
364.00579 -.00844 (364*2π)/6212 weeks
365.00863 -.01599 (365*2π)/6212 weeks
366.02154 -.01754 (366*2π)/6212 weeks
367.03378 -.01134 (367*2π)/6212 weeks
368.00593 -.00513 (368*2π)/6212 weeks
369.02385 -.01059 (369*2π)/6212 weeks
370.01884 .00521 (370*2π)/6212 weeks
371.03494 -.00958 (371*2π)/6212 weeks
372.01017 .00108 (372*2π)/6212 weeks
373.02327 -.00896 (373*2π)/6212 weeks
374.01411 .01523 (374*2π)/6212 weeks
375.0212 -.01068 (375*2π)/6212 weeks
376.02719 .00211 (376*2π)/6212 weeks
377.0022 -.01486 (377*2π)/6212 weeks
378.03168 -.02032 (378*2π)/6212 weeks
379.03546 .01249 (379*2π)/6212 weeks
380-.00106 .00882 (380*2π)/6212 weeks
381.01155 -.0053 (381*2π)/6212 weeks
382.0164 .0001 (382*2π)/6212 weeks
383.01741 .00958 (383*2π)/6212 weeks
384.00913 -.0048 (384*2π)/6212 weeks
385.01285 .00099 (385*2π)/6212 weeks
386.00184 -.01489 (386*2π)/6212 weeks
387.02102 -.01854 (387*2π)/6212 weeks
388.02316 .01045 (388*2π)/6212 weeks
389-.00824 -.006 (389*2π)/6212 weeks
390.02952 -.02823 (390*2π)/6212 weeks
391.02536 -.00405 (391*2π)/6212 weeks
392.04241 .00819 (392*2π)/6212 weeks
393-.00184 .01006 (393*2π)/6212 weeks
394-.00524 .01197 (394*2π)/6212 weeks
395.00619 -.02677 (395*2π)/6212 weeks
396.02066 -.00843 (396*2π)/6212 weeks
397.01282 -.01672 (397*2π)/6212 weeks
398.02647 .00206 (398*2π)/6212 weeks
399.00173 .00004 (399*2π)/6212 weeks
400.00334 -.04011 (400*2π)/6212 weeks
401.05881 .01473 (401*2π)/6212 weeks
402-.00209 .02543 (402*2π)/6212 weeks
403-.00915 -.00477 (403*2π)/6212 weeks
404.01289 -.03402 (404*2π)/6212 weeks
405.02268 .00526 (405*2π)/6212 weeks
406-.00704 -.00211 (406*2π)/6212 weeks
407-.00109 -.03613 (407*2π)/6212 weeks
408.0281 -.02978 (408*2π)/6212 weeks
409.02687 -.01387 (409*2π)/6212 weeks
410.03647 -.00572 (410*2π)/6212 weeks
411.01661 -.00734 (411*2π)/6212 weeks
412.02657 -.00569 (412*2π)/6212 weeks
413.01755 -.00629 (413*2π)/6212 weeks
414.01188 -.00411 (414*2π)/6212 weeks
415.006 -.00691 (415*2π)/6211 weeks
416.0259 -.01908 (416*2π)/6211 weeks
417.04108 -.00077 (417*2π)/6211 weeks
418.00735 .01471 (418*2π)/6211 weeks
419.00445 -.03233 (419*2π)/6211 weeks
420.04769 -.00169 (420*2π)/6211 weeks
421.01625 .02557 (421*2π)/6211 weeks
422-.01869 -.00222 (422*2π)/6211 weeks
423-.01105 -.02967 (423*2π)/6211 weeks
424.02293 -.00383 (424*2π)/6211 weeks
425.00023 -.00043 (425*2π)/6211 weeks
426.00331 -.02412 (426*2π)/6211 weeks
427.0328 -.0149 (427*2π)/6211 weeks
428.02278 -.01226 (428*2π)/6211 weeks
429.01152 -.01664 (429*2π)/6211 weeks
430.03528 -.00983 (430*2π)/6211 weeks
431.01553 .02155 (431*2π)/6211 weeks
432-.01097 -.01098 (432*2π)/6211 weeks
433.01177 -.02619 (433*2π)/6211 weeks
434.0193 -.00896 (434*2π)/6211 weeks
435.00244 -.00663 (435*2π)/6211 weeks
436.02408 -.02271 (436*2π)/6211 weeks
437.01587 -.00293 (437*2π)/6211 weeks
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618-1.58698 -.63056 (618*2π)/6211 weeks
619-1.59155 -2.22355 (619*2π)/6211 weeks

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