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# Fourier Analysis of PAY (VeriFone Systems)

PAY (VeriFone Systems) appears to have interesting cyclic behaviour every 68 weeks (1.6368*cosine), 57 weeks (1.6048*sine), and 38 weeks (1.2269*cosine).

PAY (VeriFone Systems) has an average price of 26.4 (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 4/29/2005 to 4/23/2018 for PAY (VeriFone Systems), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
026.39842   0
1-4.36699 -3.44081 (1*2π)/679679 weeks
23.13317 5.14394 (2*2π)/679340 weeks
3-8.69224 6.14444 (3*2π)/679226 weeks
42.1115 -3.04596 (4*2π)/679170 weeks
5-.38279 -2.23868 (5*2π)/679136 weeks
6.56437 .46778 (6*2π)/679113 weeks
7.51582 .69836 (7*2π)/67997 weeks
8-2.22627 -.11048 (8*2π)/67985 weeks
9.0397 .31601 (9*2π)/67975 weeks
10-1.63683 -.70209 (10*2π)/67968 weeks
111.05719 -.99532 (11*2π)/67962 weeks
12-.37333 1.60483 (12*2π)/67957 weeks
13.40848 -.97569 (13*2π)/67952 weeks
14-.80198 -.20789 (14*2π)/67949 weeks
151.04622 -1.59952 (15*2π)/67945 weeks
16.06308 1.04961 (16*2π)/67942 weeks
17.15784 1.14557 (17*2π)/67940 weeks
18-1.22692 .33731 (18*2π)/67938 weeks
19-.08991 -.2197 (19*2π)/67936 weeks
20.23894 -.65961 (20*2π)/67934 weeks
21.1563 -.17828 (21*2π)/67932 weeks
22.32273 -.17192 (22*2π)/67931 weeks
23-.23419 -.05366 (23*2π)/67930 weeks
24.09787 -.13312 (24*2π)/67928 weeks
25-.53374 .09087 (25*2π)/67927 weeks
26.83689 -.63528 (26*2π)/67926 weeks
27.2302 .43966 (27*2π)/67925 weeks
28-.24768 -.11704 (28*2π)/67924 weeks
29-1.10156 .1273 (29*2π)/67923 weeks
30.26984 -.34784 (30*2π)/67923 weeks
31.0541 .18792 (31*2π)/67922 weeks
32.73308 -.04821 (32*2π)/67921 weeks
33-.7659 -.01612 (33*2π)/67921 weeks
34-.09098 -.1396 (34*2π)/67920 weeks
35-.28272 -.82492 (35*2π)/67919 weeks
36.24125 .47113 (36*2π)/67919 weeks
37.29789 -.20912 (37*2π)/67918 weeks
38.04997 .37571 (38*2π)/67918 weeks
39-.0386 -.21684 (39*2π)/67917 weeks
40-.21066 -.22544 (40*2π)/67917 weeks
41-.01328 -.44969 (41*2π)/67917 weeks
42.5127 .23363 (42*2π)/67916 weeks
43-.16865 .17688 (43*2π)/67916 weeks
44-.03718 .15261 (44*2π)/67915 weeks
45.05287 -.48567 (45*2π)/67915 weeks
46.30054 -.18448 (46*2π)/67915 weeks
47.26613 .28653 (47*2π)/67914 weeks
48-.14915 -.17922 (48*2π)/67914 weeks
49-.44143 .173 (49*2π)/67914 weeks
50.35108 -.57627 (50*2π)/67914 weeks
51-.15462 .12822 (51*2π)/67913 weeks
52.23269 .01505 (52*2π)/67913 weeks
53-.16697 -.00122 (53*2π)/67913 weeks
54.11134 -.00894 (54*2π)/67913 weeks
55-.09772 -.54992 (55*2π)/67912 weeks
56.06834 .1107 (56*2π)/67912 weeks
57.13234 -.03669 (57*2π)/67912 weeks
58-.04935 -.11677 (58*2π)/67912 weeks
59-.01818 .06487 (59*2π)/67912 weeks
60-.09893 .1911 (60*2π)/67911 weeks
61.04274 -.0474 (61*2π)/67911 weeks
62-.12564 -.08301 (62*2π)/67911 weeks
63.02259 -.21578 (63*2π)/67911 weeks
64-.16625 .06164 (64*2π)/67911 weeks
65.10142 -.20738 (65*2π)/67910 weeks
66.05412 .20215 (66*2π)/67910 weeks
67.45592 .08318 (67*2π)/67910 weeks
68-.28564 -.11069 (68*2π)/67910 weeks
69-.10694 -.2217 (69*2π)/67910 weeks
70-.13503 -.16312 (70*2π)/67910 weeks
71.13615 -.14918 (71*2π)/67910 weeks
72.0281 -.07386 (72*2π)/6799 weeks
73.03708 -.0835 (73*2π)/6799 weeks
74.11608 -.07254 (74*2π)/6799 weeks
75.0187 -.21627 (75*2π)/6799 weeks
76.06754 .16091 (76*2π)/6799 weeks
77.08184 -.06705 (77*2π)/6799 weeks
78-.0583 .2393 (78*2π)/6799 weeks
79.07897 -.09519 (79*2π)/6799 weeks
80-.20706 -.21091 (80*2π)/6798 weeks
81-.0208 .15575 (81*2π)/6798 weeks
82.2266 -.09952 (82*2π)/6798 weeks
83-.21311 -.17526 (83*2π)/6798 weeks
84-.10747 .03115 (84*2π)/6798 weeks
85-.01685 -.17825 (85*2π)/6798 weeks
86.10981 .02996 (86*2π)/6798 weeks
87-.00658 -.12123 (87*2π)/6798 weeks
88-.06909 -.05296 (88*2π)/6798 weeks
89.07472 .04145 (89*2π)/6798 weeks
90-.05434 -.17464 (90*2π)/6798 weeks
91-.25255 -.15797 (91*2π)/6797 weeks
92.16169 -.15831 (92*2π)/6797 weeks
93-.16985 .01412 (93*2π)/6797 weeks
94.17418 -.14257 (94*2π)/6797 weeks
95-.07771 -.29525 (95*2π)/6797 weeks
96.10323 .01647 (96*2π)/6797 weeks
97.29603 .11592 (97*2π)/6797 weeks
98-.09842 -.05633 (98*2π)/6797 weeks
99-.08634 .00437 (99*2π)/6797 weeks
100-.09164 -.13457 (100*2π)/6797 weeks
101.05522 -.07791 (101*2π)/6797 weeks
102.15534 -.23994 (102*2π)/6797 weeks
103-.16597 .04261 (103*2π)/6797 weeks
104-.00524 -.15084 (104*2π)/6797 weeks
105-.12963 -.05102 (105*2π)/6796 weeks
106-.00569 -.28086 (106*2π)/6796 weeks
107.16886 .04299 (107*2π)/6796 weeks
108.0296 .00997 (108*2π)/6796 weeks
109-.05502 -.03207 (109*2π)/6796 weeks
110-.0449 -.09506 (110*2π)/6796 weeks
111-.0758 -.10705 (111*2π)/6796 weeks
112-.02898 .05502 (112*2π)/6796 weeks
113-.14258 .00574 (113*2π)/6796 weeks
114-.05319 .02208 (114*2π)/6796 weeks
115-.05692 -.17536 (115*2π)/6796 weeks
116.11253 -.06492 (116*2π)/6796 weeks
117.02894 -.05675 (117*2π)/6796 weeks
118-.06004 -.07922 (118*2π)/6796 weeks
119-.22163 .0096 (119*2π)/6796 weeks
120-.03123 -.17993 (120*2π)/6796 weeks
121.12651 .04668 (121*2π)/6796 weeks
122.11611 -.01302 (122*2π)/6796 weeks
123-.0811 .00891 (123*2π)/6796 weeks
124-.14387 -.04329 (124*2π)/6795 weeks
125-.17693 -.1348 (125*2π)/6795 weeks
126.08638 .09665 (126*2π)/6795 weeks
127-.01383 -.01246 (127*2π)/6795 weeks
128-.04492 -.04966 (128*2π)/6795 weeks
129-.03566 .09756 (129*2π)/6795 weeks
130.01577 -.21685 (130*2π)/6795 weeks
131-.19812 .0629 (131*2π)/6795 weeks
132.0339 -.10583 (132*2π)/6795 weeks
133-.01836 .12983 (133*2π)/6795 weeks
134.01188 -.16908 (134*2π)/6795 weeks
135-.09698 -.02537 (135*2π)/6795 weeks
136-.07106 -.11025 (136*2π)/6795 weeks
137.14628 .17877 (137*2π)/6795 weeks
138-.23663 -.03368 (138*2π)/6795 weeks
139-.17271 .02053 (139*2π)/6795 weeks
140-.11242 -.09256 (140*2π)/6795 weeks
141.02521 -.10916 (141*2π)/6795 weeks
142.1034 .05379 (142*2π)/6795 weeks
143-.07541 -.11855 (143*2π)/6795 weeks
144.01842 .07991 (144*2π)/6795 weeks
145-.05286 -.19266 (145*2π)/6795 weeks
146.02511 .01742 (146*2π)/6795 weeks
147.01488 .06791 (147*2π)/6795 weeks
148-.08153 .12073 (148*2π)/6795 weeks
149-.13721 .01646 (149*2π)/6795 weeks
150-.1335 -.08758 (150*2π)/6795 weeks
151.02485 -.1045 (151*2π)/6794 weeks
152.08637 .04208 (152*2π)/6794 weeks
153-.19763 .05145 (153*2π)/6794 weeks
154.01094 .05561 (154*2π)/6794 weeks
155.03304 -.16869 (155*2π)/6794 weeks
156.11446 .01383 (156*2π)/6794 weeks
157-.04409 .03044 (157*2π)/6794 weeks
158-.09836 .14878 (158*2π)/6794 weeks
159-.16435 -.00054 (159*2π)/6794 weeks
160-.08406 .00109 (160*2π)/6794 weeks
161.00687 .07773 (161*2π)/6794 weeks
162.04264 .01677 (162*2π)/6794 weeks
163-.12741 .00026 (163*2π)/6794 weeks
164-.13497 -.08694 (164*2π)/6794 weeks
165-.05831 -.12106 (165*2π)/6794 weeks
166.11323 .1133 (166*2π)/6794 weeks
167.13208 .07408 (167*2π)/6794 weeks
168-.14403 .10541 (168*2π)/6794 weeks
169-.06755 -.00358 (169*2π)/6794 weeks
170-.07881 -.05349 (170*2π)/6794 weeks
171.15014 -.06005 (171*2π)/6794 weeks
172-.01518 .07731 (172*2π)/6794 weeks
173-.15111 .041 (173*2π)/6794 weeks
174-.18623 .00375 (174*2π)/6794 weeks
175-.0776 -.19694 (175*2π)/6794 weeks
176.0457 .05374 (176*2π)/6794 weeks
177.11122 .0399 (177*2π)/6794 weeks
178-.00619 .1093 (178*2π)/6794 weeks
179-.13111 -.01452 (179*2π)/6794 weeks
180-.1015 -.10375 (180*2π)/6794 weeks
181-.02139 -.01686 (181*2π)/6794 weeks
182.16467 .0677 (182*2π)/6794 weeks
183.0019 .0714 (183*2π)/6794 weeks
184-.16112 -.01173 (184*2π)/6794 weeks
185-.08564 -.02711 (185*2π)/6794 weeks
186-.10374 -.04891 (186*2π)/6794 weeks
187.11553 .00797 (187*2π)/6794 weeks
188.00726 .02115 (188*2π)/6794 weeks
189-.09714 .10434 (189*2π)/6794 weeks
190-.00876 -.07581 (190*2π)/6794 weeks
191-.11571 -.14918 (191*2π)/6794 weeks
192.0478 .0425 (192*2π)/6794 weeks
193-.00417 -.02563 (193*2π)/6794 weeks
194-.09741 .14207 (194*2π)/6794 weeks
195-.06328 -.09841 (195*2π)/6793 weeks
196-.03596 .03521 (196*2π)/6793 weeks
197.00224 -.07792 (197*2π)/6793 weeks
198.00479 .01152 (198*2π)/6793 weeks
199-.02772 -.01719 (199*2π)/6793 weeks
200.02557 -.09415 (200*2π)/6793 weeks
201.06025 -.04441 (201*2π)/6793 weeks
202-.00875 .0074 (202*2π)/6793 weeks
203.00987 .1092 (203*2π)/6793 weeks
204-.09299 .03592 (204*2π)/6793 weeks
205-.08281 -.06236 (205*2π)/6793 weeks
206-.01251 -.03408 (206*2π)/6793 weeks
207.08874 .04938 (207*2π)/6793 weeks
208-.06835 .05949 (208*2π)/6793 weeks
209-.05536 -.04744 (209*2π)/6793 weeks
210-.01997 -.06656 (210*2π)/6793 weeks
211.02791 -.05337 (211*2π)/6793 weeks
212.02245 .03756 (212*2π)/6793 weeks
213-.07016 .07035 (213*2π)/6793 weeks
214-.03897 -.04025 (214*2π)/6793 weeks
215-.05777 -.05558 (215*2π)/6793 weeks
216-.0073 -.00837 (216*2π)/6793 weeks
217.05147 .00544 (217*2π)/6793 weeks
218-.00863 -.02555 (218*2π)/6793 weeks
219-.06807 -.01444 (219*2π)/6793 weeks
220.01556 -.05699 (220*2π)/6793 weeks
221-.00011 .00681 (221*2π)/6793 weeks
222.06139 .11422 (222*2π)/6793 weeks
223-.07831 .08887 (223*2π)/6793 weeks
224.015 .05775 (224*2π)/6793 weeks
225.01038 -.10798 (225*2π)/6793 weeks
226-.09391 .01938 (226*2π)/6793 weeks
227.07544 .00044 (227*2π)/6793 weeks
228-.09062 .0359 (228*2π)/6793 weeks
229-.03675 .06889 (229*2π)/6793 weeks
230.00615 -.13891 (230*2π)/6793 weeks
231-.0278 .0043 (231*2π)/6793 weeks
232.13209 -.05118 (232*2π)/6793 weeks
233-.02327 .10341 (233*2π)/6793 weeks
234-.08004 -.02415 (234*2π)/6793 weeks
235-.13023 .02393 (235*2π)/6793 weeks
236.0405 -.02083 (236*2π)/6793 weeks
237-.05805 .01482 (237*2π)/6793 weeks
238.02395 -.10401 (238*2π)/6793 weeks
239-.0872 -.00895 (239*2π)/6793 weeks
240.09991 -.1054 (240*2π)/6793 weeks
241-.07936 .04669 (241*2π)/6793 weeks
242.09763 .009 (242*2π)/6793 weeks
243-.03592 .03052 (243*2π)/6793 weeks
244.08414 -.03245 (244*2π)/6793 weeks
245-.05127 -.03863 (245*2π)/6793 weeks
246.06278 .01941 (246*2π)/6793 weeks
247.01556 .02714 (247*2π)/6793 weeks
248-.05785 -.0527 (248*2π)/6793 weeks
249-.06534 .03562 (249*2π)/6793 weeks
250-.00127 -.08684 (250*2π)/6793 weeks
251.05485 .05821 (251*2π)/6793 weeks
252.01946 -.04149 (252*2π)/6793 weeks
253-.09088 .0464 (253*2π)/6793 weeks
254-.02545 -.03502 (254*2π)/6793 weeks
255-.01455 -.08695 (255*2π)/6793 weeks
256.04871 -.06928 (256*2π)/6793 weeks
257.00394 -.00006 (257*2π)/6793 weeks
258.05588 -.04088 (258*2π)/6793 weeks
259-.07499 .03091 (259*2π)/6793 weeks
260.02306 -.10367 (260*2π)/6793 weeks
261-.03685 .02454 (261*2π)/6793 weeks
262.13115 .02036 (262*2π)/6793 weeks
263-.01982 .0443 (263*2π)/6793 weeks
264-.00192 .05271 (264*2π)/6793 weeks
265-.09537 -.08752 (265*2π)/6793 weeks
266.00741 .00745 (266*2π)/6793 weeks
267.06975 -.05445 (267*2π)/6793 weeks
268-.0448 .004 (268*2π)/6793 weeks
269.00583 .00097 (269*2π)/6793 weeks
270-.04643 .04476 (270*2π)/6793 weeks
271.04576 -.04173 (271*2π)/6793 weeks
272.03468 .03869 (272*2π)/6792 weeks
273-.02885 -.05044 (273*2π)/6792 weeks
274-.03625 .06169 (274*2π)/6792 weeks
275-.00658 -.03365 (275*2π)/6792 weeks
276-.03405 .00852 (276*2π)/6792 weeks
277-.00962 -.00322 (277*2π)/6792 weeks
278-.02485 -.07276 (278*2π)/6792 weeks
279-.02167 -.00456 (279*2π)/6792 weeks
280.01239 -.11305 (280*2π)/6792 weeks
281-.04315 -.01647 (281*2π)/6792 weeks
282.14278 .11598 (282*2π)/6792 weeks
283-.07288 .03035 (283*2π)/6792 weeks
284-.07534 .06456 (284*2π)/6792 weeks
285-.07949 -.01814 (285*2π)/6792 weeks
286.00464 .01653 (286*2π)/6792 weeks
287-.02395 -.02949 (287*2π)/6792 weeks
288-.09972 -.00232 (288*2π)/6792 weeks
289-.11 .03038 (289*2π)/6792 weeks
290.04011 -.0763 (290*2π)/6792 weeks
291-.04911 -.0295 (291*2π)/6792 weeks
292.10116 -.02322 (292*2π)/6792 weeks
293-.02847 .0559 (293*2π)/6792 weeks
294-.01776 -.00212 (294*2π)/6792 weeks
295-.20803 -.04037 (295*2π)/6792 weeks
296.04543 -.02543 (296*2π)/6792 weeks
297.01799 -.07654 (297*2π)/6792 weeks
298.03118 .10019 (298*2π)/6792 weeks
299-.06829 -.05789 (299*2π)/6792 weeks
300-.06029 -.01798 (300*2π)/6792 weeks
301-.01339 -.08863 (301*2π)/6792 weeks
302.0841 -.01779 (302*2π)/6792 weeks
303-.04152 .07601 (303*2π)/6792 weeks
304-.11537 .06024 (304*2π)/6792 weeks
305-.09092 -.00792 (305*2π)/6792 weeks
306-.01477 -.05646 (306*2π)/6792 weeks
307.03572 -.10873 (307*2π)/6792 weeks
308.00961 .05538 (308*2π)/6792 weeks
309-.03925 -.00267 (309*2π)/6792 weeks
310-.09081 -.06363 (310*2π)/6792 weeks
311-.00347 -.07215 (311*2π)/6792 weeks
312.07051 .05079 (312*2π)/6792 weeks
313.00383 .02753 (313*2π)/6792 weeks
314-.13585 .03697 (314*2π)/6792 weeks
315-.07992 -.03662 (315*2π)/6792 weeks
316-.00896 -.09553 (316*2π)/6792 weeks
317-.04363 .01079 (317*2π)/6792 weeks
318-.04266 .01799 (318*2π)/6792 weeks
319-.03456 .06348 (319*2π)/6792 weeks
320-.07099 -.10633 (320*2π)/6792 weeks
321.00666 -.04443 (321*2π)/6792 weeks
322-.01205 -.01856 (322*2π)/6792 weeks
323.03147 .04377 (323*2π)/6792 weeks
324-.07104 .13477 (324*2π)/6792 weeks
325.00741 -.11321 (325*2π)/6792 weeks
326-.03477 .02522 (326*2π)/6792 weeks
327.02204 -.03987 (327*2π)/6792 weeks
328-.08287 .03899 (328*2π)/6792 weeks
329-.04429 .02838 (329*2π)/6792 weeks
330-.01435 -.04582 (330*2π)/6792 weeks
331-.03243 .04961 (331*2π)/6792 weeks
332-.02358 .04475 (332*2π)/6792 weeks
333-.08261 .02551 (333*2π)/6792 weeks
334-.08066 -.00043 (334*2π)/6792 weeks
335-.07612 -.0601 (335*2π)/6792 weeks
336-.0345 -.0703 (336*2π)/6792 weeks
337-.04958 .06101 (337*2π)/6792 weeks
338-.0051 .00676 (338*2π)/6792 weeks
339-.0676 .09272 (339*2π)/6792 weeks
340-.0676 -.09272 (340*2π)/6792 weeks
341-.0051 -.00676 (341*2π)/6792 weeks
342-.04958 -.06101 (342*2π)/6792 weeks
343-.0345 .0703 (343*2π)/6792 weeks
344-.07612 .0601 (344*2π)/6792 weeks
345-.08066 .00043 (345*2π)/6792 weeks
346-.08261 -.02551 (346*2π)/6792 weeks
347-.02358 -.04475 (347*2π)/6792 weeks
348-.03243 -.04961 (348*2π)/6792 weeks
349-.01435 .04582 (349*2π)/6792 weeks
350-.04429 -.02838 (350*2π)/6792 weeks
351-.08287 -.03899 (351*2π)/6792 weeks
352.02204 .03987 (352*2π)/6792 weeks
353-.03477 -.02522 (353*2π)/6792 weeks
354.00741 .11321 (354*2π)/6792 weeks
355-.07104 -.13477 (355*2π)/6792 weeks
356.03147 -.04377 (356*2π)/6792 weeks
357-.01205 .01856 (357*2π)/6792 weeks
358.00666 .04443 (358*2π)/6792 weeks
359-.07099 .10633 (359*2π)/6792 weeks
360-.03456 -.06348 (360*2π)/6792 weeks
361-.04266 -.01799 (361*2π)/6792 weeks
362-.04363 -.01079 (362*2π)/6792 weeks
363-.00896 .09553 (363*2π)/6792 weeks
364-.07992 .03662 (364*2π)/6792 weeks
365-.13585 -.03697 (365*2π)/6792 weeks
366.00383 -.02753 (366*2π)/6792 weeks
367.07051 -.05079 (367*2π)/6792 weeks
368-.00347 .07215 (368*2π)/6792 weeks
369-.09081 .06363 (369*2π)/6792 weeks
370-.03925 .00267 (370*2π)/6792 weeks
371.00961 -.05538 (371*2π)/6792 weeks
372.03572 .10873 (372*2π)/6792 weeks
373-.01477 .05646 (373*2π)/6792 weeks
374-.09092 .00792 (374*2π)/6792 weeks
375-.11537 -.06024 (375*2π)/6792 weeks
376-.04152 -.07601 (376*2π)/6792 weeks
377.0841 .01779 (377*2π)/6792 weeks
378-.01339 .08863 (378*2π)/6792 weeks
379-.06029 .01798 (379*2π)/6792 weeks
380-.06829 .05789 (380*2π)/6792 weeks
381.03118 -.10019 (381*2π)/6792 weeks
382.01799 .07654 (382*2π)/6792 weeks
383.04543 .02543 (383*2π)/6792 weeks
384-.20803 .04037 (384*2π)/6792 weeks
385-.01776 .00212 (385*2π)/6792 weeks
386-.02847 -.0559 (386*2π)/6792 weeks
387.10116 .02322 (387*2π)/6792 weeks
388-.04911 .0295 (388*2π)/6792 weeks
389.04011 .0763 (389*2π)/6792 weeks
390-.11 -.03038 (390*2π)/6792 weeks
391-.09972 .00232 (391*2π)/6792 weeks
392-.02395 .02949 (392*2π)/6792 weeks
393.00464 -.01653 (393*2π)/6792 weeks
394-.07949 .01814 (394*2π)/6792 weeks
395-.07534 -.06456 (395*2π)/6792 weeks
396-.07288 -.03035 (396*2π)/6792 weeks
397.14278 -.11598 (397*2π)/6792 weeks
398-.04315 .01647 (398*2π)/6792 weeks
399.01239 .11305 (399*2π)/6792 weeks
400-.02167 .00456 (400*2π)/6792 weeks
401-.02485 .07276 (401*2π)/6792 weeks
402-.00962 .00322 (402*2π)/6792 weeks
403-.03405 -.00852 (403*2π)/6792 weeks
404-.00658 .03365 (404*2π)/6792 weeks
405-.03625 -.06169 (405*2π)/6792 weeks
406-.02885 .05044 (406*2π)/6792 weeks
407.03468 -.03869 (407*2π)/6792 weeks
408.04576 .04173 (408*2π)/6792 weeks
409-.04643 -.04476 (409*2π)/6792 weeks
410.00583 -.00097 (410*2π)/6792 weeks
411-.0448 -.004 (411*2π)/6792 weeks
412.06975 .05445 (412*2π)/6792 weeks
413.00741 -.00745 (413*2π)/6792 weeks
414-.09537 .08752 (414*2π)/6792 weeks
415-.00192 -.05271 (415*2π)/6792 weeks
416-.01982 -.0443 (416*2π)/6792 weeks
417.13115 -.02036 (417*2π)/6792 weeks
418-.03685 -.02454 (418*2π)/6792 weeks
419.02306 .10367 (419*2π)/6792 weeks
420-.07499 -.03091 (420*2π)/6792 weeks
421.05588 .04088 (421*2π)/6792 weeks
422.00394 .00006 (422*2π)/6792 weeks
423.04871 .06928 (423*2π)/6792 weeks
424-.01455 .08695 (424*2π)/6792 weeks
425-.02545 .03502 (425*2π)/6792 weeks
426-.09088 -.0464 (426*2π)/6792 weeks
427.01946 .04149 (427*2π)/6792 weeks
428.05485 -.05821 (428*2π)/6792 weeks
429-.00127 .08684 (429*2π)/6792 weeks
430-.06534 -.03562 (430*2π)/6792 weeks
431-.05785 .0527 (431*2π)/6792 weeks
432.01556 -.02714 (432*2π)/6792 weeks
433.06278 -.01941 (433*2π)/6792 weeks
434-.05127 .03863 (434*2π)/6792 weeks
435.08414 .03245 (435*2π)/6792 weeks
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