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Fourier Analysis of AU (AngloGold Ashanti Limited Commo)


AU (AngloGold Ashanti Limited Commo) appears to have interesting cyclic behaviour every 88 weeks (1.8046*cosine), 61 weeks (1.5748*cosine), and 61 weeks (.9935*sine).

AU (AngloGold Ashanti Limited Commo) has an average price of 27.24 (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 8/5/1998 to 3/13/2017 for AU (AngloGold Ashanti Limited Commo), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
027.23774   0 
1-14.91748 -.64661 (1*2π)/971971 weeks
2-2.32709 .90144 (2*2π)/971486 weeks
34.86084 3.40384 (3*2π)/971324 weeks
41.53107 -2.66812 (4*2π)/971243 weeks
5-.92223 2.86113 (5*2π)/971194 weeks
6-.84302 -.67941 (6*2π)/971162 weeks
7.49018 .1402 (7*2π)/971139 weeks
8.42183 -.57035 (8*2π)/971121 weeks
9-1.61357 -1.51804 (9*2π)/971108 weeks
10.96151 -.88578 (10*2π)/97197 weeks
11-1.80464 .41149 (11*2π)/97188 weeks
12.80063 .4099 (12*2π)/97181 weeks
13-.23749 -.37498 (13*2π)/97175 weeks
14.37538 .04818 (14*2π)/97169 weeks
15.08447 .02633 (15*2π)/97165 weeks
16-1.57483 .99354 (16*2π)/97161 weeks
17.54861 .0961 (17*2π)/97157 weeks
18.30412 1.18076 (18*2π)/97154 weeks
19-.56157 -.14096 (19*2π)/97151 weeks
20.48047 .29718 (20*2π)/97149 weeks
21.56378 .62083 (21*2π)/97146 weeks
22-.07883 .33411 (22*2π)/97144 weeks
23-.78075 .09198 (23*2π)/97142 weeks
24.07289 -.44902 (24*2π)/97140 weeks
25.33288 .6412 (25*2π)/97139 weeks
26.2443 -.21485 (26*2π)/97137 weeks
27-.09001 .54324 (27*2π)/97136 weeks
28.5058 -.15692 (28*2π)/97135 weeks
29-.27208 -.09968 (29*2π)/97133 weeks
30.56755 -.10546 (30*2π)/97132 weeks
31-.44715 .41215 (31*2π)/97131 weeks
32.15412 -.07027 (32*2π)/97130 weeks
33-.11048 -.23789 (33*2π)/97129 weeks
34.2004 .1387 (34*2π)/97129 weeks
35.09003 .32207 (35*2π)/97128 weeks
36.04943 .14655 (36*2π)/97127 weeks
37.03362 -.09228 (37*2π)/97126 weeks
38.21246 .04982 (38*2π)/97126 weeks
39-.36421 -.27484 (39*2π)/97125 weeks
40-.11328 .40724 (40*2π)/97124 weeks
41-.33475 -.19648 (41*2π)/97124 weeks
42-.20943 -.18101 (42*2π)/97123 weeks
43-.04685 .23286 (43*2π)/97123 weeks
44-.0668 -.6209 (44*2π)/97122 weeks
45-.13891 -.12297 (45*2π)/97122 weeks
46-.29112 .05772 (46*2π)/97121 weeks
47-.04086 .12754 (47*2π)/97121 weeks
48-.16616 .0746 (48*2π)/97120 weeks
49.04282 .19588 (49*2π)/97120 weeks
50.26652 .19575 (50*2π)/97119 weeks
51.00264 -.08637 (51*2π)/97119 weeks
52-.2048 .093 (52*2π)/97119 weeks
53.00248 -.13413 (53*2π)/97118 weeks
54.17884 .24217 (54*2π)/97118 weeks
55-.03989 -.17291 (55*2π)/97118 weeks
56-.03909 .20271 (56*2π)/97117 weeks
57-.22484 -.17052 (57*2π)/97117 weeks
58-.092 .02343 (58*2π)/97117 weeks
59.12823 -.17898 (59*2π)/97116 weeks
60.15927 .06111 (60*2π)/97116 weeks
61-.29083 .23577 (61*2π)/97116 weeks
62-.03521 -.34419 (62*2π)/97116 weeks
63.41386 -.09452 (63*2π)/97115 weeks
64-.52689 .05819 (64*2π)/97115 weeks
65.11446 -.0663 (65*2π)/97115 weeks
66-.28278 .08223 (66*2π)/97115 weeks
67.10099 -.464 (67*2π)/97114 weeks
68-.20548 .14674 (68*2π)/97114 weeks
69-.11438 -.0114 (69*2π)/97114 weeks
70.18286 -.18176 (70*2π)/97114 weeks
71-.1734 .2658 (71*2π)/97114 weeks
72-.16062 -.23139 (72*2π)/97113 weeks
73.14134 .01183 (73*2π)/97113 weeks
74-.01542 .01263 (74*2π)/97113 weeks
75-.23911 .05995 (75*2π)/97113 weeks
76-.2042 .1381 (76*2π)/97113 weeks
77.36837 -.04161 (77*2π)/97113 weeks
78-.20921 .12847 (78*2π)/97112 weeks
79.19614 -.18116 (79*2π)/97112 weeks
80.02068 .0733 (80*2π)/97112 weeks
81.07295 -.01683 (81*2π)/97112 weeks
82-.1295 .15994 (82*2π)/97112 weeks
83.02909 .09729 (83*2π)/97112 weeks
84.06036 -.09547 (84*2π)/97112 weeks
85-.05086 .06102 (85*2π)/97111 weeks
86.10006 .01981 (86*2π)/97111 weeks
87-.021 .07118 (87*2π)/97111 weeks
88.18201 .03482 (88*2π)/97111 weeks
89-.10439 -.16023 (89*2π)/97111 weeks
90.13096 .06806 (90*2π)/97111 weeks
91-.17623 -.21788 (91*2π)/97111 weeks
92.06456 .08131 (92*2π)/97111 weeks
93-.10796 .07043 (93*2π)/97110 weeks
94.08692 -.04991 (94*2π)/97110 weeks
95-.02584 -.00483 (95*2π)/97110 weeks
96-.076 .05481 (96*2π)/97110 weeks
97.0713 .14507 (97*2π)/97110 weeks
98-.08704 -.15908 (98*2π)/97110 weeks
99.02866 -.13121 (99*2π)/97110 weeks
100.01204 .1083 (100*2π)/97110 weeks
101.04587 .03941 (101*2π)/97110 weeks
102.01595 -.02204 (102*2π)/97110 weeks
103-.02293 .19577 (103*2π)/9719 weeks
104.11311 -.00555 (104*2π)/9719 weeks
105.09255 -.06652 (105*2π)/9719 weeks
106-.14532 -.02248 (106*2π)/9719 weeks
107.13784 .15872 (107*2π)/9719 weeks
108-.05286 -.191 (108*2π)/9719 weeks
109.07883 .06143 (109*2π)/9719 weeks
110.07678 -.07926 (110*2π)/9719 weeks
111-.09217 .18589 (111*2π)/9719 weeks
112-.01153 -.1742 (112*2π)/9719 weeks
113-.05097 .12947 (113*2π)/9719 weeks
114.05132 -.09396 (114*2π)/9719 weeks
115-.07469 .18722 (115*2π)/9718 weeks
116.12443 -.02693 (116*2π)/9718 weeks
117-.04173 -.04632 (117*2π)/9718 weeks
118.10241 -.08229 (118*2π)/9718 weeks
119.05855 .10844 (119*2π)/9718 weeks
120-.02629 -.09045 (120*2π)/9718 weeks
121.02731 .12346 (121*2π)/9718 weeks
122.07733 -.32064 (122*2π)/9718 weeks
123.06351 .19305 (123*2π)/9718 weeks
124-.03719 -.07551 (124*2π)/9718 weeks
125.11564 .01231 (125*2π)/9718 weeks
126-.13142 -.01015 (126*2π)/9718 weeks
127.1138 -.04882 (127*2π)/9718 weeks
128.13428 .10629 (128*2π)/9718 weeks
129.08188 -.04669 (129*2π)/9718 weeks
130-.05422 .05597 (130*2π)/9717 weeks
131.13845 .03063 (131*2π)/9717 weeks
132.08034 -.01272 (132*2π)/9717 weeks
133-.01335 .02287 (133*2π)/9717 weeks
134-.02736 .13598 (134*2π)/9717 weeks
135.09311 .06571 (135*2π)/9717 weeks
136-.15735 -.04762 (136*2π)/9717 weeks
137.05255 .19761 (137*2π)/9717 weeks
138.00367 -.08771 (138*2π)/9717 weeks
139-.08971 .08944 (139*2π)/9717 weeks
140-.00649 .13401 (140*2π)/9717 weeks
141.04226 -.09264 (141*2π)/9717 weeks
142.08532 -.04115 (142*2π)/9717 weeks
143-.12515 .10413 (143*2π)/9717 weeks
144.18311 -.0332 (144*2π)/9717 weeks
145.07301 -.03425 (145*2π)/9717 weeks
146.0331 .02661 (146*2π)/9717 weeks
147-.08598 .10346 (147*2π)/9717 weeks
148.14644 -.02743 (148*2π)/9717 weeks
149.02837 .12001 (149*2π)/9717 weeks
150-.02756 .01729 (150*2π)/9716 weeks
151-.02059 .01449 (151*2π)/9716 weeks
152.04518 .09289 (152*2π)/9716 weeks
153-.08326 -.02975 (153*2π)/9716 weeks
154.07141 -.11172 (154*2π)/9716 weeks
155-.05351 .10847 (155*2π)/9716 weeks
156-.06381 -.0493 (156*2π)/9716 weeks
157-.0945 .01911 (157*2π)/9716 weeks
158.21211 -.11331 (158*2π)/9716 weeks
159-.09212 .08259 (159*2π)/9716 weeks
160.11382 .00182 (160*2π)/9716 weeks
161-.04947 -.06181 (161*2π)/9716 weeks
162.03634 .18101 (162*2π)/9716 weeks
163.0243 -.07553 (163*2π)/9716 weeks
164-.04681 .04425 (164*2π)/9716 weeks
165.0007 .10275 (165*2π)/9716 weeks
166.04118 -.01737 (166*2π)/9716 weeks
167-.00903 .03229 (167*2π)/9716 weeks
168.05352 .00204 (168*2π)/9716 weeks
169-.09235 -.00359 (169*2π)/9716 weeks
170.00669 .02168 (170*2π)/9716 weeks
171-.06854 -.08764 (171*2π)/9716 weeks
172.01518 .11755 (172*2π)/9716 weeks
173.10391 -.04814 (173*2π)/9716 weeks
174-.16508 .02358 (174*2π)/9716 weeks
175.05131 -.0425 (175*2π)/9716 weeks
176.05501 .04918 (176*2π)/9716 weeks
177-.00437 .05961 (177*2π)/9715 weeks
178-.03849 .01829 (178*2π)/9715 weeks
179-.00924 -.07966 (179*2π)/9715 weeks
180.10429 .04475 (180*2π)/9715 weeks
181.06745 .03637 (181*2π)/9715 weeks
182.02639 .05712 (182*2π)/9715 weeks
183.02821 -.07161 (183*2π)/9715 weeks
184.01313 .03884 (184*2π)/9715 weeks
185.00798 .04099 (185*2π)/9715 weeks
186.11878 -.0174 (186*2π)/9715 weeks
187.00768 .00917 (187*2π)/9715 weeks
188-.01939 -.0726 (188*2π)/9715 weeks
189.07278 .01512 (189*2π)/9715 weeks
190.13688 -.01696 (190*2π)/9715 weeks
191-.03877 -.03174 (191*2π)/9715 weeks
192-.04103 .03018 (192*2π)/9715 weeks
193.11501 -.06239 (193*2π)/9715 weeks
194-.06889 -.04937 (194*2π)/9715 weeks
195.05592 .04512 (195*2π)/9715 weeks
196.04834 -.0615 (196*2π)/9715 weeks
197.03645 .09674 (197*2π)/9715 weeks
198.01061 -.02874 (198*2π)/9715 weeks
199-.13142 .01737 (199*2π)/9715 weeks
200.08325 -.14921 (200*2π)/9715 weeks
201-.04302 .05308 (201*2π)/9715 weeks
202.08622 .01224 (202*2π)/9715 weeks
203-.06829 -.0413 (203*2π)/9715 weeks
204.00287 -.03827 (204*2π)/9715 weeks
205.01143 -.00663 (205*2π)/9715 weeks
206.00385 .01908 (206*2π)/9715 weeks
207.02363 -.01269 (207*2π)/9715 weeks
208.03848 .00249 (208*2π)/9715 weeks
209-.06343 .01624 (209*2π)/9715 weeks
210.12099 -.01851 (210*2π)/9715 weeks
211-.03569 .08095 (211*2π)/9715 weeks
212.09272 -.02979 (212*2π)/9715 weeks
213-.02162 .02573 (213*2π)/9715 weeks
214.03395 -.02556 (214*2π)/9715 weeks
215.03488 .0051 (215*2π)/9715 weeks
216-.06822 .01091 (216*2π)/9714 weeks
217.03484 -.05422 (217*2π)/9714 weeks
218-.02203 -.01453 (218*2π)/9714 weeks
219-.02047 -.07055 (219*2π)/9714 weeks
220-.00243 .03417 (220*2π)/9714 weeks
221.03108 .00137 (221*2π)/9714 weeks
222.02836 -.0116 (222*2π)/9714 weeks
223-.00573 -.03612 (223*2π)/9714 weeks
224.05525 .03179 (224*2π)/9714 weeks
225.03072 .09188 (225*2π)/9714 weeks
226-.0878 -.05685 (226*2π)/9714 weeks
227.00383 .11545 (227*2π)/9714 weeks
228.08809 .01046 (228*2π)/9714 weeks
229-.03402 .07391 (229*2π)/9714 weeks
230.01275 .1057 (230*2π)/9714 weeks
231.02569 -.12621 (231*2π)/9714 weeks
232.01503 .17495 (232*2π)/9714 weeks
233.07634 -.11878 (233*2π)/9714 weeks
234.02317 .10255 (234*2π)/9714 weeks
235.02764 .05274 (235*2π)/9714 weeks
236.03068 -.13317 (236*2π)/9714 weeks
237-.04588 -.02324 (237*2π)/9714 weeks
238.0484 .03479 (238*2π)/9714 weeks
239.00709 .06747 (239*2π)/9714 weeks
240-.01619 -.17635 (240*2π)/9714 weeks
241-.03483 -.07651 (241*2π)/9714 weeks
242.08077 .10655 (242*2π)/9714 weeks
243.06008 -.04015 (243*2π)/9714 weeks
244-.08688 -.02879 (244*2π)/9714 weeks
245.03927 .07507 (245*2π)/9714 weeks
246.10441 -.10107 (246*2π)/9714 weeks
247-.00064 .08224 (247*2π)/9714 weeks
248-.00707 .04336 (248*2π)/9714 weeks
249.01389 .02568 (249*2π)/9714 weeks
250-.02962 -.02558 (250*2π)/9714 weeks
251.02656 -.05218 (251*2π)/9714 weeks
252.01436 .10632 (252*2π)/9714 weeks
253.00454 -.01941 (253*2π)/9714 weeks
254-.0046 -.04785 (254*2π)/9714 weeks
255.02864 .02202 (255*2π)/9714 weeks
256.09541 .03039 (256*2π)/9714 weeks
257-.0036 .01865 (257*2π)/9714 weeks
258.02011 .09113 (258*2π)/9714 weeks
259.01262 .05122 (259*2π)/9714 weeks
260.07586 .01353 (260*2π)/9714 weeks
261-.06583 -.01385 (261*2π)/9714 weeks
262.07478 .11215 (262*2π)/9714 weeks
263.0091 .00816 (263*2π)/9714 weeks
264-.05795 .09145 (264*2π)/9714 weeks
265-.01727 -.08871 (265*2π)/9714 weeks
266-.05706 .00456 (266*2π)/9714 weeks
267.07605 .09181 (267*2π)/9714 weeks
268-.04447 .00903 (268*2π)/9714 weeks
269.06198 .05304 (269*2π)/9714 weeks
270-.05883 -.04402 (270*2π)/9714 weeks
271.06653 -.02457 (271*2π)/9714 weeks
272.04159 .04528 (272*2π)/9714 weeks
273-.06544 .00277 (273*2π)/9714 weeks
274-.00366 .01629 (274*2π)/9714 weeks
275-.00031 .04103 (275*2π)/9714 weeks
276.00015 .04928 (276*2π)/9714 weeks
277.02348 .05662 (277*2π)/9714 weeks
278-.03966 .00335 (278*2π)/9713 weeks
279-.04316 -.0452 (279*2π)/9713 weeks
280.01149 .07927 (280*2π)/9713 weeks
281.00417 -.00219 (281*2π)/9713 weeks
282-.08933 .01329 (282*2π)/9713 weeks
283-.00472 .01914 (283*2π)/9713 weeks
284.06225 -.0872 (284*2π)/9713 weeks
285-.05118 -.00143 (285*2π)/9713 weeks
286.00153 -.01135 (286*2π)/9713 weeks
287-.03009 .06428 (287*2π)/9713 weeks
288.01035 -.00416 (288*2π)/9713 weeks
289.03575 .02038 (289*2π)/9713 weeks
290.02321 -.01147 (290*2π)/9713 weeks
291-.11112 -.01192 (291*2π)/9713 weeks
292-.01467 .05021 (292*2π)/9713 weeks
293-.00438 -.02291 (293*2π)/9713 weeks
294.02298 -.03327 (294*2π)/9713 weeks
295.0087 .06861 (295*2π)/9713 weeks
296.02821 -.05129 (296*2π)/9713 weeks
297-.02211 .06842 (297*2π)/9713 weeks
298.04915 -.00628 (298*2π)/9713 weeks
299-.02088 .03511 (299*2π)/9713 weeks
300-.0003 -.03657 (300*2π)/9713 weeks
301-.01397 .01693 (301*2π)/9713 weeks
302-.04477 .03376 (302*2π)/9713 weeks
303-.01112 -.00227 (303*2π)/9713 weeks
304-.02618 -.02287 (304*2π)/9713 weeks
305.09015 .01324 (305*2π)/9713 weeks
306.01842 -.00754 (306*2π)/9713 weeks
307-.00526 -.02594 (307*2π)/9713 weeks
308.02076 -.04027 (308*2π)/9713 weeks
309.06247 -.03308 (309*2π)/9713 weeks
310.00903 .05453 (310*2π)/9713 weeks
311-.03967 .00259 (311*2π)/9713 weeks
312.01249 -.01038 (312*2π)/9713 weeks
313.02946 .00017 (313*2π)/9713 weeks
314-.0247 -.0148 (314*2π)/9713 weeks
315.08335 .07278 (315*2π)/9713 weeks
316-.02786 -.02476 (316*2π)/9713 weeks
317-.0411 -.00545 (317*2π)/9713 weeks
318-.03256 -.06045 (318*2π)/9713 weeks
319.0412 .08532 (319*2π)/9713 weeks
320-.03187 -.06415 (320*2π)/9713 weeks
321-.05732 .01346 (321*2π)/9713 weeks
322.04177 -.05504 (322*2π)/9713 weeks
323-.04511 .05875 (323*2π)/9713 weeks
324.0241 -.01816 (324*2π)/9713 weeks
325-.07251 .05261 (325*2π)/9713 weeks
326.0061 -.01673 (326*2π)/9713 weeks
327-.0044 -.00994 (327*2π)/9713 weeks
328.08316 .03279 (328*2π)/9713 weeks
329-.06182 -.00496 (329*2π)/9713 weeks
330.01466 .05798 (330*2π)/9713 weeks
331.04496 .01467 (331*2π)/9713 weeks
332-.0066 .00885 (332*2π)/9713 weeks
333-.03565 .04184 (333*2π)/9713 weeks
334.01824 -.05478 (334*2π)/9713 weeks
335-.04528 .03023 (335*2π)/9713 weeks
336.02536 -.02166 (336*2π)/9713 weeks
337-.02274 .00176 (337*2π)/9713 weeks
338-.04753 -.07297 (338*2π)/9713 weeks
339-.03031 -.01107 (339*2π)/9713 weeks
340.02115 -.00195 (340*2π)/9713 weeks
341.00843 -.03207 (341*2π)/9713 weeks
342.02191 -.00668 (342*2π)/9713 weeks
343-.02442 .02199 (343*2π)/9713 weeks
344.03041 .017 (344*2π)/9713 weeks
345-.06067 -.08285 (345*2π)/9713 weeks
346.05789 -.01638 (346*2π)/9713 weeks
347.02222 .04334 (347*2π)/9713 weeks
348.03559 -.07527 (348*2π)/9713 weeks
349-.01768 .00812 (349*2π)/9713 weeks
350.02979 -.004 (350*2π)/9713 weeks
351.00233 .01969 (351*2π)/9713 weeks
352-.00841 .00426 (352*2π)/9713 weeks
353-.01391 -.0395 (353*2π)/9713 weeks
354-.0065 .00971 (354*2π)/9713 weeks
355.02334 .01229 (355*2π)/9713 weeks
356.00513 -.02342 (356*2π)/9713 weeks
357-.04855 -.00614 (357*2π)/9713 weeks
358.03883 -.02357 (358*2π)/9713 weeks
359-.02566 .00018 (359*2π)/9713 weeks
360-.02031 -.00739 (360*2π)/9713 weeks
361-.00117 .02092 (361*2π)/9713 weeks
362.05742 -.03798 (362*2π)/9713 weeks
363-.11793 .06743 (363*2π)/9713 weeks
364.01893 -.01879 (364*2π)/9713 weeks
365.00794 -.04908 (365*2π)/9713 weeks
366.01446 .07247 (366*2π)/9713 weeks
367-.03426 -.07238 (367*2π)/9713 weeks
368-.03946 .04837 (368*2π)/9713 weeks
369.06943 -.01467 (369*2π)/9713 weeks
370-.04197 -.00704 (370*2π)/9713 weeks
371-.00269 .02866 (371*2π)/9713 weeks
372.04201 -.08844 (372*2π)/9713 weeks
373.04922 .02447 (373*2π)/9713 weeks
374-.04439 -.01945 (374*2π)/9713 weeks
375.07312 -.03161 (375*2π)/9713 weeks
376.01189 .01642 (376*2π)/9713 weeks
377.02912 .01158 (377*2π)/9713 weeks
378-.02399 .0091 (378*2π)/9713 weeks
379.04121 .03705 (379*2π)/9713 weeks
380.00365 -.06706 (380*2π)/9713 weeks
381-.03793 .07387 (381*2π)/9713 weeks
382.06388 -.03531 (382*2π)/9713 weeks
383-.01185 .00452 (383*2π)/9713 weeks
384.02132 .003 (384*2π)/9713 weeks
385-.01074 .03477 (385*2π)/9713 weeks
386.00309 -.04141 (386*2π)/9713 weeks
387.02966 -.00543 (387*2π)/9713 weeks
388.01418 .0072 (388*2π)/9713 weeks
389-.01163 -.04231 (389*2π)/9712 weeks
390.04521 .06073 (390*2π)/9712 weeks
391-.01452 .01104 (391*2π)/9712 weeks
392-.01581 .01417 (392*2π)/9712 weeks
393.02686 -.01432 (393*2π)/9712 weeks
394-.03703 -.04649 (394*2π)/9712 weeks
395.00045 .00712 (395*2π)/9712 weeks
396.00639 -.00628 (396*2π)/9712 weeks
397.0236 -.00024 (397*2π)/9712 weeks
398.02639 -.0304 (398*2π)/9712 weeks
399.00657 .00619 (399*2π)/9712 weeks
400.045 -.00812 (400*2π)/9712 weeks
401-.04569 -.06758 (401*2π)/9712 weeks
402.01515 -.02711 (402*2π)/9712 weeks
403-.04306 .04327 (403*2π)/9712 weeks
404.04054 -.03252 (404*2π)/9712 weeks
405-.0598 -.05701 (405*2π)/9712 weeks
406.01819 -.0044 (406*2π)/9712 weeks
407.0422 -.01973 (407*2π)/9712 weeks
408-.09512 -.0579 (408*2π)/9712 weeks
409.07402 .05709 (409*2π)/9712 weeks
410.03338 -.04641 (410*2π)/9712 weeks
411-.00814 .02462 (411*2π)/9712 weeks
412-.03018 -.00143 (412*2π)/9712 weeks
413.01254 .0814 (413*2π)/9712 weeks
414.03593 -.00347 (414*2π)/9712 weeks
415-.01233 .04478 (415*2π)/9712 weeks
416-.0413 -.0063 (416*2π)/9712 weeks
417.02205 -.02459 (417*2π)/9712 weeks
418-.02504 .02238 (418*2π)/9712 weeks
419.04523 -.00132 (419*2π)/9712 weeks
420-.05804 -.02729 (420*2π)/9712 weeks
421.0501 .01205 (421*2π)/9712 weeks
422.00352 -.09476 (422*2π)/9712 weeks
423.05115 .0496 (423*2π)/9712 weeks
424-.00008 -.03488 (424*2π)/9712 weeks
425.02645 .02851 (425*2π)/9712 weeks
426.01339 -.04272 (426*2π)/9712 weeks
427.01304 .04238 (427*2π)/9712 weeks
428-.03255 .04924 (428*2π)/9712 weeks
429.00888 -.06625 (429*2π)/9712 weeks
430-.002 .03737 (430*2π)/9712 weeks
431.04537 -.00775 (431*2π)/9712 weeks
432.02961 .00142 (432*2π)/9712 weeks
433.02651 -.00409 (433*2π)/9712 weeks
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