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Fourier Analysis of ADS (Alliance Data Systems Corporation)


ADS (Alliance Data Systems Corporation) appears to have interesting cyclic behaviour every 84 weeks (11.3971*sine), 77 weeks (9.5769*sine), and 70 weeks (3.7601*cosine).

ADS (Alliance Data Systems Corporation) has an average price of 107.56 (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 6/15/2001 to 8/7/2017 for ADS (Alliance Data Systems Corporation), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
0107.5599   0 
141.25242 -90.90499 (1*2π)/844844 weeks
2-20.0139 -61.04678 (2*2π)/844422 weeks
3-11.3144 -15.55282 (3*2π)/844281 weeks
4-5.19399 -7.08677 (4*2π)/844211 weeks
58.51027 -10.15081 (5*2π)/844169 weeks
65.10077 -7.82091 (6*2π)/844141 weeks
71.18213 -11.64546 (7*2π)/844121 weeks
83.55224 -7.68433 (8*2π)/844106 weeks
93.5566 -12.14588 (9*2π)/84494 weeks
10-.18728 -11.39709 (10*2π)/84484 weeks
11-3.62644 -9.57687 (11*2π)/84477 weeks
12-3.7601 -4.86536 (12*2π)/84470 weeks
131.40171 -6.71362 (13*2π)/84465 weeks
14-1.0236 -5.12678 (14*2π)/84460 weeks
15-.52241 -6.91403 (15*2π)/84456 weeks
16-.40058 -3.72903 (16*2π)/84453 weeks
17-1.33181 -3.42377 (17*2π)/84450 weeks
182.22701 -3.78016 (18*2π)/84447 weeks
19-.91271 -5.06451 (19*2π)/84444 weeks
20.51776 -4.72641 (20*2π)/84442 weeks
21-.84344 -3.9306 (21*2π)/84440 weeks
22-1.14956 -4.4901 (22*2π)/84438 weeks
23-.44035 -3.47798 (23*2π)/84437 weeks
24-1.77276 -2.14784 (24*2π)/84435 weeks
25-1.72271 -1.7251 (25*2π)/84434 weeks
26-.59403 -1.05199 (26*2π)/84432 weeks
271.39255 -2.23216 (27*2π)/84431 weeks
28.35017 -1.80597 (28*2π)/84430 weeks
29.62346 -3.48121 (29*2π)/84429 weeks
30.45156 -3.1157 (30*2π)/84428 weeks
31-.2813 -3.72718 (31*2π)/84427 weeks
32-.82152 -4.0936 (32*2π)/84426 weeks
33-1.40019 -1.99557 (33*2π)/84426 weeks
34-2.46281 -1.70564 (34*2π)/84425 weeks
35-.39935 .10918 (35*2π)/84424 weeks
36.99683 -.69095 (36*2π)/84423 weeks
37.88364 -2.39871 (37*2π)/84423 weeks
38.62311 -3.19408 (38*2π)/84422 weeks
39-1.07087 -3.07324 (39*2π)/84422 weeks
40-1.39269 -2.36715 (40*2π)/84421 weeks
41-1.33336 -1.1518 (41*2π)/84421 weeks
42.13283 -1.51781 (42*2π)/84420 weeks
43-.34627 -2.04985 (43*2π)/84420 weeks
44-1.54464 -1.10415 (44*2π)/84419 weeks
45-.1899 -.63616 (45*2π)/84419 weeks
46.24852 -.00788 (46*2π)/84418 weeks
471.89358 -1.86759 (47*2π)/84418 weeks
48-.21438 -2.61512 (48*2π)/84418 weeks
49-.26136 -2.83439 (49*2π)/84417 weeks
50-1.46424 -1.14093 (50*2π)/84417 weeks
51-.02199 -1.84896 (51*2π)/84417 weeks
52-.24629 -1.16084 (52*2π)/84416 weeks
53-.49103 -2.36166 (53*2π)/84416 weeks
54-.92851 -1.86232 (54*2π)/84416 weeks
55-1.10625 -.77361 (55*2π)/84415 weeks
56.08859 -.86836 (56*2π)/84415 weeks
57-.28145 -2.06011 (57*2π)/84415 weeks
58-.9296 -1.8333 (58*2π)/84415 weeks
59-.90282 -.98249 (59*2π)/84414 weeks
60-.25254 -.37402 (60*2π)/84414 weeks
61.0548 -1.07267 (61*2π)/84414 weeks
62-.51087 -1.86198 (62*2π)/84414 weeks
63-.91734 -1.36342 (63*2π)/84413 weeks
64-.78945 -1.12167 (64*2π)/84413 weeks
65-1.09911 -.73834 (65*2π)/84413 weeks
66-.70852 -.70137 (66*2π)/84413 weeks
67-.6945 -.74949 (67*2π)/84413 weeks
68-.31732 -.40526 (68*2π)/84412 weeks
69-.20982 -.36651 (69*2π)/84412 weeks
70.38828 -.70491 (70*2π)/84412 weeks
71-.11329 -1.14087 (71*2π)/84412 weeks
72-.06957 -1.80478 (72*2π)/84412 weeks
73-1.1745 -1.53103 (73*2π)/84412 weeks
74-1.18612 -.54205 (74*2π)/84411 weeks
75-.35984 -.14845 (75*2π)/84411 weeks
76.09653 -.8 (76*2π)/84411 weeks
77-.0978 -1.16946 (77*2π)/84411 weeks
78-.83498 -.92149 (78*2π)/84411 weeks
79-.24041 -.34253 (79*2π)/84411 weeks
80.45817 -.64051 (80*2π)/84411 weeks
81.24515 -1.16532 (81*2π)/84410 weeks
82-.48559 -1.35857 (82*2π)/84410 weeks
83-.65722 -1.65937 (83*2π)/84410 weeks
84-1.20828 -.66356 (84*2π)/84410 weeks
85-.98464 -.6242 (85*2π)/84410 weeks
86-1.44958 -.34305 (86*2π)/84410 weeks
87-.43779 .66079 (87*2π)/84410 weeks
88-.2362 .0527 (88*2π)/84410 weeks
89.10453 -.58314 (89*2π)/8449 weeks
90-.27591 -.41038 (90*2π)/8449 weeks
91.08327 -.46832 (91*2π)/8449 weeks
92.29962 -.53 (92*2π)/8449 weeks
93.19232 -.9297 (93*2π)/8449 weeks
94-.27542 -1.00083 (94*2π)/8449 weeks
95-.31719 -1.23046 (95*2π)/8449 weeks
96-1.09517 -.53736 (96*2π)/8449 weeks
97-.54855 -.19097 (97*2π)/8449 weeks
98-.08169 -.15659 (98*2π)/8449 weeks
99-.08047 -.73289 (99*2π)/8449 weeks
100-.5261 -.60586 (100*2π)/8448 weeks
101-.50624 -.47909 (101*2π)/8448 weeks
102-.63416 -.13472 (102*2π)/8448 weeks
103-.13249 -.20964 (103*2π)/8448 weeks
104-.17555 -.22762 (104*2π)/8448 weeks
105-.35788 -.34112 (105*2π)/8448 weeks
106.26222 -.06894 (106*2π)/8448 weeks
107.18695 -.47463 (107*2π)/8448 weeks
108.06553 -.42877 (108*2π)/8448 weeks
109.55621 -.91792 (109*2π)/8448 weeks
110.07597 -.51958 (110*2π)/8448 weeks
111.33443 -1.17424 (111*2π)/8448 weeks
112-.13876 -.93955 (112*2π)/8448 weeks
113-.37002 -1.05158 (113*2π)/8447 weeks
114-.48867 -.70296 (114*2π)/8447 weeks
115-.61389 -.85521 (115*2π)/8447 weeks
116-.61477 -.38886 (116*2π)/8447 weeks
117-.37854 -.53016 (117*2π)/8447 weeks
118-.85565 -.41369 (118*2π)/8447 weeks
119-.45613 .18497 (119*2π)/8447 weeks
120.39246 -.15865 (120*2π)/8447 weeks
121-.01836 -.42576 (121*2π)/8447 weeks
122.20308 -1.06957 (122*2π)/8447 weeks
123-.15583 -.67639 (123*2π)/8447 weeks
124-.30115 -.94497 (124*2π)/8447 weeks
125-.22405 -.69232 (125*2π)/8447 weeks
126-.696 -.80618 (126*2π)/8447 weeks
127-.79865 -.53255 (127*2π)/8447 weeks
128-.58726 -.02001 (128*2π)/8447 weeks
129-.18224 -.45207 (129*2π)/8447 weeks
130-.34047 -.13109 (130*2π)/8446 weeks
131-.03852 -.46984 (131*2π)/8446 weeks
132-.28809 -.15871 (132*2π)/8446 weeks
133.12008 -.52972 (133*2π)/8446 weeks
134.05264 -.39166 (134*2π)/8446 weeks
135-.28369 -.87895 (135*2π)/8446 weeks
136-.33269 -.53683 (136*2π)/8446 weeks
137-.38368 -.50608 (137*2π)/8446 weeks
138-.22576 -.44225 (138*2π)/8446 weeks
139-.2027 -.45538 (139*2π)/8446 weeks
140-.23845 -.59357 (140*2π)/8446 weeks
141-.42221 -.44105 (141*2π)/8446 weeks
142-.1656 -.40967 (142*2π)/8446 weeks
143-.29147 -.509 (143*2π)/8446 weeks
144-.27981 -.44468 (144*2π)/8446 weeks
145-.34457 -.7192 (145*2π)/8446 weeks
146-.4113 -.44484 (146*2π)/8446 weeks
147-.42297 -.34863 (147*2π)/8446 weeks
148-.34936 -.14643 (148*2π)/8446 weeks
149-.51988 -.45853 (149*2π)/8446 weeks
150-.49414 -.25969 (150*2π)/8446 weeks
151-.29265 .04427 (151*2π)/8446 weeks
152-.09988 -.2393 (152*2π)/8446 weeks
153.09752 -.44741 (153*2π)/8446 weeks
154-.20369 -.49327 (154*2π)/8445 weeks
155-.19089 -.50495 (155*2π)/8445 weeks
156-.19583 -.3762 (156*2π)/8445 weeks
157-.23227 -.61816 (157*2π)/8445 weeks
158-.47105 -.4132 (158*2π)/8445 weeks
159-.541 -.46371 (159*2π)/8445 weeks
160-.38605 -.08404 (160*2π)/8445 weeks
161-.14613 .16747 (161*2π)/8445 weeks
162.07123 -.44464 (162*2π)/8445 weeks
163-.22934 -.48336 (163*2π)/8445 weeks
164-.20393 -.27251 (164*2π)/8445 weeks
165-.25772 -.28126 (165*2π)/8445 weeks
166-.13427 -.55595 (166*2π)/8445 weeks
167-.25983 -.29614 (167*2π)/8445 weeks
168-.42266 -.47398 (168*2π)/8445 weeks
169-.22662 -.3657 (169*2π)/8445 weeks
170-.20791 -.35063 (170*2π)/8445 weeks
171-.19581 -.38006 (171*2π)/8445 weeks
172-.30709 -.38027 (172*2π)/8445 weeks
173-.28456 -.29468 (173*2π)/8445 weeks
174-.28647 -.26836 (174*2π)/8445 weeks
175-.19542 -.26728 (175*2π)/8445 weeks
176-.00748 -.26435 (176*2π)/8445 weeks
177.00458 -.64295 (177*2π)/8445 weeks
178-.48968 -.53542 (178*2π)/8445 weeks
179-.33248 -.53194 (179*2π)/8445 weeks
180-.25489 -.39672 (180*2π)/8445 weeks
181-.5477 -.3606 (181*2π)/8445 weeks
182-.34988 -.52657 (182*2π)/8445 weeks
183-.74817 -.11851 (183*2π)/8445 weeks
184-.14713 -.03679 (184*2π)/8445 weeks
185-.19345 -.20626 (185*2π)/8445 weeks
186-.13798 -.45103 (186*2π)/8445 weeks
187-.46276 -.15457 (187*2π)/8445 weeks
188-.15454 -.36381 (188*2π)/8444 weeks
189-.12409 -.15173 (189*2π)/8444 weeks
190-.09626 -.68345 (190*2π)/8444 weeks
191-.56881 -.36934 (191*2π)/8444 weeks
192-.48194 -.24775 (192*2π)/8444 weeks
193-.39242 -.08311 (193*2π)/8444 weeks
194-.30071 .06902 (194*2π)/8444 weeks
195-.21603 -.16616 (195*2π)/8444 weeks
196-.03059 -.37459 (196*2π)/8444 weeks
197-.27386 -.2666 (197*2π)/8444 weeks
198-.23101 -.35053 (198*2π)/8444 weeks
199-.48167 -.34659 (199*2π)/8444 weeks
200-.25015 -.14306 (200*2π)/8444 weeks
201-.06985 -.39173 (201*2π)/8444 weeks
202-.12617 -.40473 (202*2π)/8444 weeks
203-.31813 -.47869 (203*2π)/8444 weeks
204-.57131 -.2316 (204*2π)/8444 weeks
205-.42331 .01172 (205*2π)/8444 weeks
206-.06615 .13726 (206*2π)/8444 weeks
207-.01524 -.14385 (207*2π)/8444 weeks
208.13802 -.48101 (208*2π)/8444 weeks
209-.35 -.56031 (209*2π)/8444 weeks
210-.28636 -.32154 (210*2π)/8444 weeks
211-.6293 -.25432 (211*2π)/8444 weeks
212-.45755 -.06742 (212*2π)/8444 weeks
213-.16301 -.03312 (213*2π)/8444 weeks
214-.18736 -.01957 (214*2π)/8444 weeks
215.03301 -.2361 (215*2π)/8444 weeks
216-.03219 -.23989 (216*2π)/8444 weeks
217-.0223 -.4158 (217*2π)/8444 weeks
218-.07387 -.35337 (218*2π)/8444 weeks
219-.16007 -.49203 (219*2π)/8444 weeks
220-.4078 -.41122 (220*2π)/8444 weeks
221-.24145 -.43676 (221*2π)/8444 weeks
222-.50423 -.18215 (222*2π)/8444 weeks
223-.27962 -.08011 (223*2π)/8444 weeks
224-.22966 -.12607 (224*2π)/8444 weeks
225-.13014 -.2334 (225*2π)/8444 weeks
226-.21474 -.50412 (226*2π)/8444 weeks
227-.22163 -.47021 (227*2π)/8444 weeks
228-.40889 -.4077 (228*2π)/8444 weeks
229-.51147 -.44501 (229*2π)/8444 weeks
230-.43833 -.19697 (230*2π)/8444 weeks
231-.55043 -.12825 (231*2π)/8444 weeks
232-.34196 -.15454 (232*2π)/8444 weeks
233-.37686 -.29681 (233*2π)/8444 weeks
234-.52895 -.11075 (234*2π)/8444 weeks
235-.28605 -.03597 (235*2π)/8444 weeks
236-.36886 -.10951 (236*2π)/8444 weeks
237-.20561 -.18028 (237*2π)/8444 weeks
238-.30791 -.10392 (238*2π)/8444 weeks
239-.16628 -.21204 (239*2π)/8444 weeks
240-.29623 -.17842 (240*2π)/8444 weeks
241-.39325 -.31911 (241*2π)/8444 weeks
242-.51031 -.27392 (242*2π)/8443 weeks
243-.37642 .00407 (243*2π)/8443 weeks
244-.27874 -.21024 (244*2π)/8443 weeks
245-.40697 .00867 (245*2π)/8443 weeks
246-.13039 -.1319 (246*2π)/8443 weeks
247-.27228 -.21568 (247*2π)/8443 weeks
248-.19104 -.18533 (248*2π)/8443 weeks
249-.41423 -.40613 (249*2π)/8443 weeks
250-.50031 -.2737 (250*2π)/8443 weeks
251-.55923 -.01116 (251*2π)/8443 weeks
252-.46541 .08181 (252*2π)/8443 weeks
253-.16851 -.06444 (253*2π)/8443 weeks
254-.31495 -.1097 (254*2π)/8443 weeks
255-.40501 -.13542 (255*2π)/8443 weeks
256-.22083 -.11958 (256*2π)/8443 weeks
257-.33364 -.01369 (257*2π)/8443 weeks
258-.16151 -.22275 (258*2π)/8443 weeks
259-.25078 -.30246 (259*2π)/8443 weeks
260-.4074 -.17241 (260*2π)/8443 weeks
261-.56062 -.08197 (261*2π)/8443 weeks
262-.22096 .02762 (262*2π)/8443 weeks
263-.32942 -.04019 (263*2π)/8443 weeks
264-.2211 -.17496 (264*2π)/8443 weeks
265-.29965 .03384 (265*2π)/8443 weeks
266-.21875 .01698 (266*2π)/8443 weeks
267-.11996 .05861 (267*2π)/8443 weeks
268-.13866 -.12905 (268*2π)/8443 weeks
269-.1693 -.15171 (269*2π)/8443 weeks
270-.24511 -.15285 (270*2π)/8443 weeks
271-.24188 -.15026 (271*2π)/8443 weeks
272-.16358 -.2291 (272*2π)/8443 weeks
273-.4229 -.25018 (273*2π)/8443 weeks
274-.4962 .13088 (274*2π)/8443 weeks
275-.17569 -.05033 (275*2π)/8443 weeks
276-.21372 -.06904 (276*2π)/8443 weeks
277-.25924 -.20095 (277*2π)/8443 weeks
278-.3475 -.04025 (278*2π)/8443 weeks
279-.33624 -.11228 (279*2π)/8443 weeks
280-.24886 .08231 (280*2π)/8443 weeks
281-.22909 -.31671 (281*2π)/8443 weeks
282-.52939 .03323 (282*2π)/8443 weeks
283-.56512 .09571 (283*2π)/8443 weeks
284-.08288 .41444 (284*2π)/8443 weeks
285-.09058 .15681 (285*2π)/8443 weeks
286-.06828 -.12607 (286*2π)/8443 weeks
287-.08848 -.09953 (287*2π)/8443 weeks
288-.2861 -.0788 (288*2π)/8443 weeks
289-.13982 -.09928 (289*2π)/8443 weeks
290-.15996 -.06152 (290*2π)/8443 weeks
291-.19451 .0297 (291*2π)/8443 weeks
292-.23158 -.09786 (292*2π)/8443 weeks
293-.24362 -.03628 (293*2π)/8443 weeks
294-.19296 -.03189 (294*2π)/8443 weeks
295-.16254 -.00895 (295*2π)/8443 weeks
296-.32268 -.07121 (296*2π)/8443 weeks
297-.21494 .11682 (297*2π)/8443 weeks
298-.05305 .01736 (298*2π)/8443 weeks
299-.27426 -.20816 (299*2π)/8443 weeks
300-.19683 .07366 (300*2π)/8443 weeks
301-.12499 -.01771 (301*2π)/8443 weeks
302-.18537 .11259 (302*2π)/8443 weeks
303.00611 -.07214 (303*2π)/8443 weeks
304.05137 -.11496 (304*2π)/8443 weeks
305-.147 -.42043 (305*2π)/8443 weeks
306-.11438 -.19218 (306*2π)/8443 weeks
307-.37963 -.13992 (307*2π)/8443 weeks
308-.13033 -.01912 (308*2π)/8443 weeks
309.004 -.1745 (309*2π)/8443 weeks
310-.22371 -.54194 (310*2π)/8443 weeks
311-.41333 -.21781 (311*2π)/8443 weeks
312-.33423 -.07898 (312*2π)/8443 weeks
313-.39368 -.24112 (313*2π)/8443 weeks
314-.29678 .05823 (314*2π)/8443 weeks
315-.20011 -.07091 (315*2π)/8443 weeks
316-.14766 -.04336 (316*2π)/8443 weeks
317-.1425 -.16529 (317*2π)/8443 weeks
318-.37643 -.16876 (318*2π)/8443 weeks
319-.35353 -.10349 (319*2π)/8443 weeks
320-.22746 -.01583 (320*2π)/8443 weeks
321-.29936 -.19055 (321*2π)/8443 weeks
322-.31742 -.07219 (322*2π)/8443 weeks
323-.30506 -.25716 (323*2π)/8443 weeks
324-.48954 .07704 (324*2π)/8443 weeks
325-.26244 -.05616 (325*2π)/8443 weeks
326-.27674 .04217 (326*2π)/8443 weeks
327-.33151 -.01607 (327*2π)/8443 weeks
328.03733 .09908 (328*2π)/8443 weeks
329-.3238 -.12183 (329*2π)/8443 weeks
330-.12994 -.04607 (330*2π)/8443 weeks
331-.14708 -.04447 (331*2π)/8443 weeks
332-.2144 -.15893 (332*2π)/8443 weeks
333-.27039 .07272 (333*2π)/8443 weeks
334-.25214 .0179 (334*2π)/8443 weeks
335-.08993 .09464 (335*2π)/8443 weeks
336-.01422 .03256 (336*2π)/8443 weeks
337-.10022 -.2045 (337*2π)/8443 weeks
338-.20017 .01469 (338*2π)/8442 weeks
339-.20597 -.10905 (339*2π)/8442 weeks
340-.07088 .049 (340*2π)/8442 weeks
341-.08384 -.13338 (341*2π)/8442 weeks
342-.24343 -.09306 (342*2π)/8442 weeks
343-.28071 -.06906 (343*2π)/8442 weeks
344-.25559 -.19102 (344*2π)/8442 weeks
345-.33443 .14407 (345*2π)/8442 weeks
346-.27112 .1359 (346*2π)/8442 weeks
347.04649 .15651 (347*2π)/8442 weeks
348-.00692 -.03823 (348*2π)/8442 weeks
349.00824 -.25384 (349*2π)/8442 weeks
350-.10991 -.30388 (350*2π)/8442 weeks
351-.24739 -.02188 (351*2π)/8442 weeks
352-.17946 -.08622 (352*2π)/8442 weeks
353-.06482 -.00473 (353*2π)/8442 weeks
354-.10994 -.09195 (354*2π)/8442 weeks
355-.08466 -.14932 (355*2π)/8442 weeks
356-.21984 -.2709 (356*2π)/8442 weeks
357-.22168 -.1922 (357*2π)/8442 weeks
358-.2224 -.01039 (358*2π)/8442 weeks
359-.12717 -.12513 (359*2π)/8442 weeks
360-.14048 -.13149 (360*2π)/8442 weeks
361-.26913 -.16604 (361*2π)/8442 weeks
362-.10208 -.14462 (362*2π)/8442 weeks
363-.17991 -.27781 (363*2π)/8442 weeks
364-.26343 -.20253 (364*2π)/8442 weeks
365-.35336 -.26361 (365*2π)/8442 weeks
366-.36535 -.27286 (366*2π)/8442 weeks
367-.52741 -.06901 (367*2π)/8442 weeks
368-.21896 .01534 (368*2π)/8442 weeks
369-.11126 -.0932 (369*2π)/8442 weeks
370-.24789 -.02301 (370*2π)/8442 weeks
371-.17252 -.16956 (371*2π)/8442 weeks
372-.24556 -.30383 (372*2π)/8442 weeks
373-.46413 -.08047 (373*2π)/8442 weeks
374-.2689 -.10323 (374*2π)/8442 weeks
375-.35044 .10474 (375*2π)/8442 weeks
376-.27354 -.05583 (376*2π)/8442 weeks
377-.24472 .00848 (377*2π)/8442 weeks
378-.25283 -.06367 (378*2π)/8442 weeks
379-.12924 -.0541 (379*2π)/8442 weeks
380-.32539 -.18628 (380*2π)/8442 weeks
381-.39784 -.16186 (381*2π)/8442 weeks
382-.27136 -.01235 (382*2π)/8442 weeks
383-.29718 -.04292 (383*2π)/8442 weeks
384-.19373 -.06159 (384*2π)/8442 weeks
385-.31586 -.14484 (385*2π)/8442 weeks
386-.34276 -.04462 (386*2π)/8442 weeks
387-.33146 -.0669 (387*2π)/8442 weeks
388-.22503 .12563 (388*2π)/8442 weeks
389-.29893 .08375 (389*2π)/8442 weeks
390-.13508 -.06992 (390*2π)/8442 weeks
391-.28497 .08496 (391*2π)/8442 weeks
392-.28961 .01056 (392*2π)/8442 weeks
393-.12099 -.00362 (393*2π)/8442 weeks
394-.2215 -.09378 (394*2π)/8442 weeks
395-.27032 .0857 (395*2π)/8442 weeks
396-.38283 -.02943 (396*2π)/8442 weeks
397-.26084 .31963 (397*2π)/8442 weeks
398-.03134 .27415 (398*2π)/8442 weeks
399.05671 -.00882 (399*2π)/8442 weeks
400-.07985 -.10053 (400*2π)/8442 weeks
401-.00982 -.11854 (401*2π)/8442 weeks
402-.04593 -.12292 (402*2π)/8442 weeks
403-.0483 -.41097 (403*2π)/8442 weeks
404-.21211 -.13662 (404*2π)/8442 weeks
405-.33973 -.20859 (405*2π)/8442 weeks
406-.37883 -.27838 (406*2π)/8442 weeks
407-.42555 -.12317 (407*2π)/8442 weeks
408-.39536 .10543 (408*2π)/8442 weeks
409-.23814 -.01134 (409*2π)/8442 weeks
410-.31999 .0008 (410*2π)/8442 weeks
411-.26167 -.15637 (411*2π)/8442 weeks
412-.26458 -.12395 (412*2π)/8442 weeks
413-.39396 -.2073 (413*2π)/8442 weeks
414-.53062 -.0497 (414*2π)/8442 weeks
415-.62283 .07717 (415*2π)/8442 weeks
416-.32288 .37455 (416*2π)/8442 weeks
417-.23437 .14985 (417*2π)/8442 weeks
418-.07721 .01313 (418*2π)/8442 weeks
419-.28301 -.0937 (419*2π)/8442 weeks
420-.31273 -.04214 (420*2π)/8442 weeks
421-.21287 .11419 (421*2π)/8442 weeks
422-.33515   (422*2π)/8442 weeks
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830-1.0236 5.12678 (830*2π)/8441 weeks
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8385.10077 7.82091 (838*2π)/8441 weeks
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840-5.19399 7.08677 (840*2π)/8441 weeks
841-11.3144 15.55282 (841*2π)/8441 weeks
842-20.0139 61.04678 (842*2π)/8441 weeks



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