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Fourier Analysis of DDD (3D Systems Corporation Common S)

DDD (3D Systems Corporation Common S) appears to have interesting cyclic behaviour every 138 weeks (2.2085*sine), 125 weeks (1.369*sine), and 69 weeks (.9714*cosine).

DDD (3D Systems Corporation Common S) has an average price of 9.58 (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 11/5/1990 to 3/13/2017 for DDD (3D Systems Corporation Common S), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
09.58493   0
17.15838 -8.07796 (1*2π)/13751,375 weeks
2.35384 -9.23038 (2*2π)/1375688 weeks
3-5.36383 -6.65347 (3*2π)/1375458 weeks
4-6.00231 -.6741 (4*2π)/1375344 weeks
5-1.96285 2.42617 (5*2π)/1375275 weeks
6-.33114 3.75665 (6*2π)/1375229 weeks
71.82016 2.36117 (7*2π)/1375196 weeks
82.8653 .69022 (8*2π)/1375172 weeks
92.29055 -1.80396 (9*2π)/1375153 weeks
10.79951 -2.20854 (10*2π)/1375138 weeks
11-.16474 -1.36901 (11*2π)/1375125 weeks
12-.94636 -.77328 (12*2π)/1375115 weeks
13-.61381 -.24472 (13*2π)/1375106 weeks
14-.078 -.10679 (14*2π)/137598 weeks
15-.23757 .16098 (15*2π)/137592 weeks
16.46087 .13829 (16*2π)/137586 weeks
17.62 -.27358 (17*2π)/137581 weeks
18.33763 -1.05159 (18*2π)/137576 weeks
19-.3355 -1.04273 (19*2π)/137572 weeks
20-.97141 -.43444 (20*2π)/137569 weeks
21-.76751 .44518 (21*2π)/137565 weeks
22.04455 .51156 (22*2π)/137563 weeks
23.07306 .24694 (23*2π)/137560 weeks
24.44409 .12824 (24*2π)/137557 weeks
25.42871 -.11283 (25*2π)/137555 weeks
26.21909 -.30583 (26*2π)/137553 weeks
27-.05481 -.60207 (27*2π)/137551 weeks
28-.43722 -.29716 (28*2π)/137549 weeks
29-.42125 .1172 (29*2π)/137547 weeks
30.03534 .47517 (30*2π)/137546 weeks
31.2677 .24747 (31*2π)/137544 weeks
32.57482 -.21434 (32*2π)/137543 weeks
33.32837 -.46615 (33*2π)/137542 weeks
34.14369 -.81772 (34*2π)/137540 weeks
35-.23084 -.55267 (35*2π)/137539 weeks
36-.68714 -.17027 (36*2π)/137538 weeks
37-.49179 .03065 (37*2π)/137537 weeks
38-.15846 .4093 (38*2π)/137536 weeks
39.24674 .3104 (39*2π)/137535 weeks
40.35883 .19225 (40*2π)/137534 weeks
41.50081 -.23863 (41*2π)/137534 weeks
42.28269 -.48548 (42*2π)/137533 weeks
43.09864 -.50245 (43*2π)/137532 weeks
44-.39048 -.5029 (44*2π)/137531 weeks
45-.51774 -.298 (45*2π)/137531 weeks
46-.43326 .12785 (46*2π)/137530 weeks
47-.26144 .4588 (47*2π)/137529 weeks
48.12265 .43957 (48*2π)/137529 weeks
49.38282 .2496 (49*2π)/137528 weeks
50.56722 -.20842 (50*2π)/137528 weeks
51.25274 -.49959 (51*2π)/137527 weeks
52.01686 -.42348 (52*2π)/137526 weeks
53-.32195 -.25199 (53*2π)/137526 weeks
54-.36331 .03919 (54*2π)/137525 weeks
55-.10214 .33864 (55*2π)/137525 weeks
56.3441 .24668 (56*2π)/137525 weeks
57.43391 -.06549 (57*2π)/137524 weeks
58.34152 -.35016 (58*2π)/137524 weeks
59-.04492 -.52246 (59*2π)/137523 weeks
60-.21951 -.27277 (60*2π)/137523 weeks
61-.16318 -.06559 (61*2π)/137523 weeks
62-.00424 .00122 (62*2π)/137522 weeks
63.06239 -.04901 (63*2π)/137522 weeks
64-.03559 -.10989 (64*2π)/137521 weeks
65-.00351 -.17872 (65*2π)/137521 weeks
66-.12337 -.16011 (66*2π)/137521 weeks
67-.05531 -.07681 (67*2π)/137521 weeks
68-.006 .00077 (68*2π)/137520 weeks
69-.06194 .01006 (69*2π)/137520 weeks
70.00095 -.14285 (70*2π)/137520 weeks
71-.08444 -.21997 (71*2π)/137519 weeks
72-.22897 -.04463 (72*2π)/137519 weeks
73-.12316 .18171 (73*2π)/137519 weeks
74.04824 .13832 (74*2π)/137519 weeks
75.15804 -.00954 (75*2π)/137518 weeks
76.13897 -.15951 (76*2π)/137518 weeks
77-.09165 -.12187 (77*2π)/137518 weeks
78-.10103 -.03777 (78*2π)/137518 weeks
79-.07316 -.04668 (79*2π)/137517 weeks
80-.05451 .04694 (80*2π)/137517 weeks
81-.02332 .09816 (81*2π)/137517 weeks
82.07538 .1347 (82*2π)/137517 weeks
83.15925 -.00596 (83*2π)/137517 weeks
84.05253 -.23479 (84*2π)/137516 weeks
85-.10509 -.16829 (85*2π)/137516 weeks
86-.15917 .06287 (86*2π)/137516 weeks
87-.00653 .07931 (87*2π)/137516 weeks
88.12324 .00967 (88*2π)/137516 weeks
89.06483 -.13706 (89*2π)/137515 weeks
90.01359 -.14427 (90*2π)/137515 weeks
91-.13881 -.02138 (91*2π)/137515 weeks
92-.10143 -.08807 (92*2π)/137515 weeks
93-.10204 -.00308 (93*2π)/137515 weeks
94-.09229 .0419 (94*2π)/137515 weeks
95.00679 .09006 (95*2π)/137514 weeks
96.06356 .02349 (96*2π)/137514 weeks
97.05385 -.18426 (97*2π)/137514 weeks
98-.05885 -.21067 (98*2π)/137514 weeks
99-.22124 -.13469 (99*2π)/137514 weeks
100-.21072 .09649 (100*2π)/137514 weeks
101-.13182 .13366 (101*2π)/137514 weeks
102.02337 .10946 (102*2π)/137513 weeks
103.10961 .0287 (103*2π)/137513 weeks
104.05886 -.04619 (104*2π)/137513 weeks
105.01375 .02425 (105*2π)/137513 weeks
106.06044 -.03255 (106*2π)/137513 weeks
107.06178 -.04807 (107*2π)/137513 weeks
108.09233 -.04228 (108*2π)/137513 weeks
109-.00635 -.14798 (109*2π)/137513 weeks
110-.06836 -.10328 (110*2π)/137513 weeks
111-.1112 -.03453 (111*2π)/137512 weeks
112-.07109 .02239 (112*2π)/137512 weeks
113-.01274 .03221 (113*2π)/137512 weeks
114.04717 .03371 (114*2π)/137512 weeks
115.08233 -.05735 (115*2π)/137512 weeks
116.0233 -.13301 (116*2π)/137512 weeks
117-.06428 -.1625 (117*2π)/137512 weeks
118-.10729 -.08505 (118*2π)/137512 weeks
119-.09027 .04727 (119*2π)/137512 weeks
120-.06206 -.00146 (120*2π)/137511 weeks
121-.01204 .0433 (121*2π)/137511 weeks
122-.01226 -.05277 (122*2π)/137511 weeks
123.01044 -.03286 (123*2π)/137511 weeks
124.01121 -.03751 (124*2π)/137511 weeks
125.00908 -.03927 (125*2π)/137511 weeks
126.0181 -.05826 (126*2π)/137511 weeks
127-.07611 -.07712 (127*2π)/137511 weeks
128-.03585 -.09724 (128*2π)/137511 weeks
129-.11036 -.02689 (129*2π)/137511 weeks
130-.04331 -.01297 (130*2π)/137511 weeks
131-.05017 -.03248 (131*2π)/137510 weeks
132-.03824 .06108 (132*2π)/137510 weeks
133-.00265 .00657 (133*2π)/137510 weeks
134-.01065 -.00565 (134*2π)/137510 weeks
135-.01893 .00449 (135*2π)/137510 weeks
136-.01446 .03304 (136*2π)/137510 weeks
137-.00601 .06945 (137*2π)/137510 weeks
138.06818 .02087 (138*2π)/137510 weeks
139.09791 -.1141 (139*2π)/137510 weeks
140-.03489 -.13439 (140*2π)/137510 weeks
141-.11002 -.06854 (141*2π)/137510 weeks
142-.12057 .0323 (142*2π)/137510 weeks
143-.07093 .08985 (143*2π)/137510 weeks
144-.02441 .06665 (144*2π)/137510 weeks
145.0339 .07427 (145*2π)/13759 weeks
146.0421 .02941 (146*2π)/13759 weeks
147.0786 .05278 (147*2π)/13759 weeks
148.06311 -.03786 (148*2π)/13759 weeks
149.02733 -.08929 (149*2π)/13759 weeks
150-.01248 -.09242 (150*2π)/13759 weeks
151-.05617 -.08724 (151*2π)/13759 weeks
152-.11117 -.04289 (152*2π)/13759 weeks
153-.10133 .03777 (153*2π)/13759 weeks
154-.05422 .09372 (154*2π)/13759 weeks
155.01893 .10242 (155*2π)/13759 weeks
156.15206 -.01155 (156*2π)/13759 weeks
157.06069 -.12702 (157*2π)/13759 weeks
158-.03824 -.15856 (158*2π)/13759 weeks
159-.15322 -.0645 (159*2π)/13759 weeks
160-.17714 .01377 (160*2π)/13759 weeks
161-.12173 .13844 (161*2π)/13759 weeks
162-.02156 .19553 (162*2π)/13758 weeks
163.07143 .12747 (163*2π)/13758 weeks
164.18939 .08662 (164*2π)/13758 weeks
165.19836 -.0632 (165*2π)/13758 weeks
166.08878 -.14197 (166*2π)/13758 weeks
167-.00397 -.1573 (167*2π)/13758 weeks
168-.09125 -.12822 (168*2π)/13758 weeks
169-.10682 -.03547 (169*2π)/13758 weeks
170-.08487 .08371 (170*2π)/13758 weeks
171.00065 .11449 (171*2π)/13758 weeks
172.10964 .0606 (172*2π)/13758 weeks
173.11325 -.05116 (173*2π)/13758 weeks
174.05676 -.11567 (174*2π)/13758 weeks
175-.0552 -.08472 (175*2π)/13758 weeks
176-.06932 -.01674 (176*2π)/13758 weeks
177-.01273 .02022 (177*2π)/13758 weeks
178.01207 .02014 (178*2π)/13758 weeks
179.04745 .00876 (179*2π)/13758 weeks
180.04675 -.06175 (180*2π)/13758 weeks
181.01596 -.10015 (181*2π)/13758 weeks
182-.02619 -.12749 (182*2π)/13758 weeks
183-.13332 -.09166 (183*2π)/13758 weeks
184-.14237 .00071 (184*2π)/13757 weeks
185-.05552 .08257 (185*2π)/13757 weeks
186.06693 .059 (186*2π)/13757 weeks
187.04156 -.01708 (187*2π)/13757 weeks
188.00952 -.02804 (188*2π)/13757 weeks
189.01725 -.0248 (189*2π)/13757 weeks
190.04296 -.09257 (190*2π)/13757 weeks
191-.01846 -.08901 (191*2π)/13757 weeks
192-.07052 -.07209 (192*2π)/13757 weeks
193-.13538 .01748 (193*2π)/13757 weeks
194-.02293 .05619 (194*2π)/13757 weeks
195.05712 .03566 (195*2π)/13757 weeks
196.02083 -.06589 (196*2π)/13757 weeks
197-.02117 -.02659 (197*2π)/13757 weeks
198.03086 -.0125 (198*2π)/13757 weeks
199-.02711 -.11301 (199*2π)/13757 weeks
200-.07127 -.03437 (200*2π)/13757 weeks
201-.10235 -.00967 (201*2π)/13757 weeks
202-.0867 .13057 (202*2π)/13757 weeks
203.04339 .14203 (203*2π)/13757 weeks
204.12969 -.00232 (204*2π)/13757 weeks
205.13523 -.07818 (205*2π)/13757 weeks
206.03666 -.12451 (206*2π)/13757 weeks
207-.03503 -.09654 (207*2π)/13757 weeks
208-.07042 -.1039 (208*2π)/13757 weeks
209-.11046 -.07636 (209*2π)/13757 weeks
210-.1367 .0249 (210*2π)/13757 weeks
211-.07024 .12094 (211*2π)/13757 weeks
212.01123 .11359 (212*2π)/13756 weeks
213.10037 .07985 (213*2π)/13756 weeks
214.13397 -.06172 (214*2π)/13756 weeks
215.02133 -.11008 (215*2π)/13756 weeks
216-.03351 -.05796 (216*2π)/13756 weeks
217-.07338 -.06022 (217*2π)/13756 weeks
218-.07558 -.00786 (218*2π)/13756 weeks
219-.05502 .05556 (219*2π)/13756 weeks
220.03033 .04088 (220*2π)/13756 weeks
221.0366 .04963 (221*2π)/13756 weeks
222.07373 -.02921 (222*2π)/13756 weeks
223.02669 -.05316 (223*2π)/13756 weeks
224-.03323 -.01774 (224*2π)/13756 weeks
225-.01898 .00715 (225*2π)/13756 weeks
226.00387 .01521 (226*2π)/13756 weeks
227.00538 .00644 (227*2π)/13756 weeks
228.0056 .01184 (228*2π)/13756 weeks
229.00602 .01519 (229*2π)/13756 weeks
230.03988 .01847 (230*2π)/13756 weeks
231.03395 -.03372 (231*2π)/13756 weeks
232.00909 -.03463 (232*2π)/13756 weeks
233.00756 -.05998 (233*2π)/13756 weeks
234.00912 -.06277 (234*2π)/13756 weeks
235-.03431 -.05187 (235*2π)/13756 weeks
236-.0665 -.04263 (236*2π)/13756 weeks
237-.03687 .00264 (237*2π)/13756 weeks
238-.00886 .02718 (238*2π)/13756 weeks
239.01624 -.02898 (239*2π)/13756 weeks
240.01144 -.05245 (240*2π)/13756 weeks
241-.02499 -.05883 (241*2π)/13756 weeks
242-.03381 -.05862 (242*2π)/13756 weeks
243-.05433 -.02611 (243*2π)/13756 weeks
244-.07745 -.02195 (244*2π)/13756 weeks
245-.063 .01959 (245*2π)/13756 weeks
246-.04262 .01583 (246*2π)/13756 weeks
247-.00033 .00321 (247*2π)/13756 weeks
248-.02561 .02016 (248*2π)/13756 weeks
249-.03116 .02286 (249*2π)/13756 weeks
250-.00833 .02412 (250*2π)/13756 weeks
251.01934 .01415 (251*2π)/13755 weeks
252.02036 -.02885 (252*2π)/13755 weeks
253-.03891 -.04609 (253*2π)/13755 weeks
254-.04756 .00794 (254*2π)/13755 weeks
255-.05135 .05197 (255*2π)/13755 weeks
256-.00462 .03923 (256*2π)/13755 weeks
257.02697 .04165 (257*2π)/13755 weeks
258.05425 .00227 (258*2π)/13755 weeks
259.02225 .00465 (259*2π)/13755 weeks
260.02227 -.03888 (260*2π)/13755 weeks
261-.00779 -.05028 (261*2π)/13755 weeks
262-.04531 -.01257 (262*2π)/13755 weeks
263-.01178 .0341 (263*2π)/13755 weeks
264.02429 .00694 (264*2π)/13755 weeks
265.0342 -.0273 (265*2π)/13755 weeks
266.01141 -.0592 (266*2π)/13755 weeks
267-.019 -.0529 (267*2π)/13755 weeks
268-.06098 -.01377 (268*2π)/13755 weeks
269-.05177 .00826 (269*2π)/13755 weeks
270-.04652 .01577 (270*2π)/13755 weeks
271-.02202 .04433 (271*2π)/13755 weeks
272.04237 .06339 (272*2π)/13755 weeks
273.08385 .01878 (273*2π)/13755 weeks
274.06033 -.03783 (274*2π)/13755 weeks
275.01937 -.07793 (275*2π)/13755 weeks
276-.03282 -.07153 (276*2π)/13755 weeks
277-.03863 -.02344 (277*2π)/13755 weeks
278-.03056 -.00923 (278*2π)/13755 weeks
279-.05301 .03287 (279*2π)/13755 weeks
280-.01158 .03028 (280*2π)/13755 weeks
281-.00564 .04482 (281*2π)/13755 weeks
282.04009 .02423 (282*2π)/13755 weeks
283.03812 .00522 (283*2π)/13755 weeks
284.01302 -.02829 (284*2π)/13755 weeks
285.00923 -.04758 (285*2π)/13755 weeks
286-.0293 -.04011 (286*2π)/13755 weeks
287-.06424 .0126 (287*2π)/13755 weeks
288-.03564 .0491 (288*2π)/13755 weeks
289.03665 .03197 (289*2π)/13755 weeks
290.07933 -.00316 (290*2π)/13755 weeks
291.07431 -.03707 (291*2π)/13755 weeks
292.00948 -.07091 (292*2π)/13755 weeks
293-.02969 -.05243 (293*2π)/13755 weeks
294-.03273 -.04497 (294*2π)/13755 weeks
295-.02924 .02228 (295*2π)/13755 weeks
296.00859 .00734 (296*2π)/13755 weeks
297-.01624 -.00437 (297*2π)/13755 weeks
298.02574 .01138 (298*2π)/13755 weeks
299.046 -.01179 (299*2π)/13755 weeks
300.04867 -.05141 (300*2π)/13755 weeks
301.00364 -.06869 (301*2π)/13755 weeks
302-.03975 -.11002 (302*2π)/13755 weeks
303-.08838 -.04053 (303*2π)/13755 weeks
304-.07492 .0466 (304*2π)/13755 weeks
305-.00801 .04095 (305*2π)/13755 weeks
306.01797 .04588 (306*2π)/13754 weeks
307.06497 -.00882 (307*2π)/13754 weeks
308.04748 -.06215 (308*2π)/13754 weeks
309-.00008 -.04385 (309*2π)/13754 weeks
310-.03521 -.04516 (310*2π)/13754 weeks
311-.03626 -.00737 (311*2π)/13754 weeks
312-.02991 -.01517 (312*2π)/13754 weeks
313-.0137 .01299 (313*2π)/13754 weeks
314-.01766 .00798 (314*2π)/13754 weeks
315-.0067 .04387 (315*2π)/13754 weeks
316.0314 .02738 (316*2π)/13754 weeks
317.06784 -.01525 (317*2π)/13754 weeks
318.04057 -.04176 (318*2π)/13754 weeks
319.02591 -.06941 (319*2π)/13754 weeks
320-.01546 -.06289 (320*2π)/13754 weeks
321-.07382 -.03361 (321*2π)/13754 weeks
322-.05612 -.00969 (322*2π)/13754 weeks
323-.04796 .02795 (323*2π)/13754 weeks
324-.00281 .03764 (324*2π)/13754 weeks
325.04175 .03647 (325*2π)/13754 weeks
326.03858 -.00651 (326*2π)/13754 weeks
327.01061 -.04445 (327*2π)/13754 weeks
328.01198 -.04597 (328*2π)/13754 weeks
329.00571 -.04648 (329*2π)/13754 weeks
330-.03457 -.0509 (330*2π)/13754 weeks
331-.06745 -.03209 (331*2π)/13754 weeks
332-.04709 .00269 (332*2π)/13754 weeks
333-.03797 .0315 (333*2π)/13754 weeks
334.00813 .03053 (334*2π)/13754 weeks
335-.00373 -.02397 (335*2π)/13754 weeks
336-.0195 -.01639 (336*2π)/13754 weeks
337-.0174 -.00318 (337*2π)/13754 weeks
338-.03842 -.00311 (338*2π)/13754 weeks
339-.02123 -.00744 (339*2π)/13754 weeks
340-.01803 -.00425 (340*2π)/13754 weeks
341-.01777 .00195 (341*2π)/13754 weeks
342-.00696 .0058 (342*2π)/13754 weeks
343.01223 .01472 (343*2π)/13754 weeks
344.01689 -.05132 (344*2π)/13754 weeks
345.00155 -.02192 (345*2π)/13754 weeks
346-.00858 -.0436 (346*2π)/13754 weeks
347-.02068 .00128 (347*2π)/13754 weeks
348.00529 -.03187 (348*2π)/13754 weeks
349-.02416 -.0407 (349*2π)/13754 weeks
350-.03737 -.01735 (350*2π)/13754 weeks
351-.04684 .00596 (351*2π)/13754 weeks
352-.01048 .0201 (352*2π)/13754 weeks
353.02834 .01998 (353*2π)/13754 weeks
354.0673 -.05648 (354*2π)/13754 weeks
355.00046 -.07346 (355*2π)/13754 weeks
356-.05492 -.05341 (356*2π)/13754 weeks
357-.06834 -.03273 (357*2π)/13754 weeks
358-.06369 .00918 (358*2π)/13754 weeks
359-.034 .00765 (359*2π)/13754 weeks
360-.01194 .04339 (360*2π)/13754 weeks
361-.00165 .03095 (361*2π)/13754 weeks
362.03163 -.00778 (362*2π)/13754 weeks
363-.00219 -.03599 (363*2π)/13754 weeks
364-.03624 -.03022 (364*2π)/13754 weeks
365-.04375 -.00017 (365*2π)/13754 weeks
366-.03319 .03573 (366*2π)/13754 weeks
367.00775 .02337 (367*2π)/13754 weeks
368.00399 .00031 (368*2π)/13754 weeks
369-.00074 .00224 (369*2π)/13754 weeks
370.01123 -.02732 (370*2π)/13754 weeks
371-.01317 -.0126 (371*2π)/13754 weeks
372-.01218 -.00949 (372*2π)/13754 weeks
373-.04149 -.0015 (373*2π)/13754 weeks
374-.03055 .01813 (374*2π)/13754 weeks
375-.01361 .03244 (375*2π)/13754 weeks
376.02136 .01756 (376*2π)/13754 weeks
377.02726 .01986 (377*2π)/13754 weeks
378.04598 .00043 (378*2π)/13754 weeks
379.03595 -.03682 (379*2π)/13754 weeks
380-.02388 -.0439 (380*2π)/13754 weeks
381-.04598 -.02358 (381*2π)/13754 weeks
382-.03612 .00935 (382*2π)/13754 weeks
383.00976 .03367 (383*2π)/13754 weeks
384.03434 .01624 (384*2π)/13754 weeks
385.03301 -.02508 (385*2π)/13754 weeks
386-.00642 -.05402 (386*2π)/13754 weeks
387-.04933 -.03673 (387*2π)/13754 weeks
388-.03504 -.00323 (388*2π)/13754 weeks
389-.03036 .00989 (389*2π)/13754 weeks
390-.0081 .02704 (390*2π)/13754 weeks
391.00928 .01622 (391*2π)/13754 weeks
392.02443 -.00895 (392*2π)/13754 weeks
393.00253 -.03152 (393*2π)/13753 weeks
394-.00576 -.02162 (394*2π)/13753 weeks
395-.02822 -.02033 (395*2π)/13753 weeks
396-.01672 .0043 (396*2π)/13753 weeks
397-.01174 -.00291 (397*2π)/13753 weeks
398-.01747 -.00917 (398*2π)/13753 weeks
399-.00535 .0086 (399*2π)/13753 weeks
400.01637 -.00131 (400*2π)/13753 weeks
401.01936 -.00723 (401*2π)/13753 weeks
402-.0081 -.01155 (402*2π)/13753 weeks
403-.00793 -.02985 (403*2π)/13753 weeks
404-.0214 -.03239 (404*2π)/13753 weeks
405-.03455 -.01129 (405*2π)/13753 weeks
406-.02709 .00275 (406*2π)/13753 weeks
407-.02746 .00703 (407*2π)/13753 weeks
408.01231 .00879 (408*2π)/13753 weeks
409.01147 -.01551 (409*2π)/13753 weeks
410-.00064 -.03571 (410*2π)/13753 weeks
411-.03651 -.02851 (411*2π)/13753 weeks
412-.04739 -.02299 (412*2π)/13753 weeks
413-.02941 .01241 (413*2π)/13753 weeks
414-.0124 .02385 (414*2π)/13753 weeks
415.01016 .00103 (415*2π)/13753 weeks
416.00352 -.00501 (416*2π)/13753 weeks
417-.01008 -.01496 (417*2π)/13753 weeks
418-.01034 -.01678 (418*2π)/13753 weeks
419-.02551 -.01383 (419*2π)/13753 weeks
420-.02557 .0003 (420*2π)/13753 weeks
421-.00071 .00485 (421*2π)/13753 weeks
422-.0039 -.00298 (422*2π)/13753 weeks
423-.00026 -.02383 (423*2π)/13753 weeks
424-.00034 -.02629 (424*2π)/13753 weeks
425-.01579 -.02979 (425*2π)/13753 weeks
426-.01078 -.02969 (426*2π)/13753 weeks
427-.0257 -.00363 (427*2π)/13753 weeks
428-.02534 -.03898 (428*2π)/13753 weeks
429-.02186 -.02924 (429*2π)/13753 weeks
430-.05141 -.00343 (430*2π)/13753 weeks
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