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# Fourier Analysis of YPF (YPF Sociedad Anónima)

YPF (YPF Sociedad Anónima) appears to have interesting cyclic behaviour every 145 weeks (2.0756*cosine), 81 weeks (1.0864*sine), and 104 weeks (.7289*sine).

YPF (YPF Sociedad Anónima) has an average price of 17.18 (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 6/30/1993 to 4/12/2021 for YPF (YPF Sociedad Anónima), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
017.17937   0
1-9.2016 -8.1066 (1*2π)/14511,451 weeks
21.25157 .60533 (2*2π)/1451726 weeks
3-3.29235 -.72849 (3*2π)/1451484 weeks
4-1.31068 -1.12431 (4*2π)/1451363 weeks
52.12855 1.89211 (5*2π)/1451290 weeks
6-2.29991 -1.64518 (6*2π)/1451242 weeks
7-.99869 1.63076 (7*2π)/1451207 weeks
81.97127 2.03866 (8*2π)/1451181 weeks
9.89762 -1.93819 (9*2π)/1451161 weeks
10-2.07557 .27839 (10*2π)/1451145 weeks
11.41138 .68595 (11*2π)/1451132 weeks
12-.24675 .1601 (12*2π)/1451121 weeks
13.16195 -.13828 (13*2π)/1451112 weeks
14.24482 .7289 (14*2π)/1451104 weeks
15.04438 .12582 (15*2π)/145197 weeks
16.03031 -.30477 (16*2π)/145191 weeks
17.09991 .50584 (17*2π)/145185 weeks
18.32218 -1.08635 (18*2π)/145181 weeks
19-.26215 .57232 (19*2π)/145176 weeks
20.3431 -.46712 (20*2π)/145173 weeks
21-.58977 .11778 (21*2π)/145169 weeks
22.14071 -.2152 (22*2π)/145166 weeks
23-.33202 .22029 (23*2π)/145163 weeks
24.37517 .24847 (24*2π)/145160 weeks
25-.24574 -.39886 (25*2π)/145158 weeks
26-.38838 .54357 (26*2π)/145156 weeks
27.48252 .10014 (27*2π)/145154 weeks
28-.0184 -.27283 (28*2π)/145152 weeks
29.20623 .20649 (29*2π)/145150 weeks
30-.02287 -.20633 (30*2π)/145148 weeks
31-.3216 -.47849 (31*2π)/145147 weeks
32-.51113 .57295 (32*2π)/145145 weeks
33.45913 .38704 (33*2π)/145144 weeks
34.21574 -.27252 (34*2π)/145143 weeks
35-.22005 -.13883 (35*2π)/145141 weeks
36.06596 .0392 (36*2π)/145140 weeks
37-.34258 .01431 (37*2π)/145139 weeks
38.10963 .00362 (38*2π)/145138 weeks
39-.09456 -.17272 (39*2π)/145137 weeks
40-.16808 .34307 (40*2π)/145136 weeks
41.1136 .10708 (41*2π)/145135 weeks
42.26308 .18225 (42*2π)/145135 weeks
43.24344 -.30169 (43*2π)/145134 weeks
44-.41706 .10412 (44*2π)/145133 weeks
45.37359 .03854 (45*2π)/145132 weeks
46.11444 -.09544 (46*2π)/145132 weeks
47.05467 -.06415 (47*2π)/145131 weeks
48.18582 -.05076 (48*2π)/145130 weeks
49-.24955 -.10052 (49*2π)/145130 weeks
50-.00327 -.339 (50*2π)/145129 weeks
51-.18407 .15385 (51*2π)/145128 weeks
52.18942 -.41219 (52*2π)/145128 weeks
53-.59164 .14745 (53*2π)/145127 weeks
54.04686 .17142 (54*2π)/145127 weeks
55-.1169 -.17625 (55*2π)/145126 weeks
56-.08556 .27323 (56*2π)/145126 weeks
57.20636 -.0219 (57*2π)/145125 weeks
58-.25699 -.07155 (58*2π)/145125 weeks
59-.1574 .19101 (59*2π)/145125 weeks
60.03556 .34929 (60*2π)/145124 weeks
61.2051 -.10072 (61*2π)/145124 weeks
62-.03829 .10785 (62*2π)/145123 weeks
63.06104 .05347 (63*2π)/145123 weeks
64.12725 .03701 (64*2π)/145123 weeks
65.0915 -.01292 (65*2π)/145122 weeks
66.00164 -.24318 (66*2π)/145122 weeks
67-.05526 .14526 (67*2π)/145122 weeks
68.15952 -.03167 (68*2π)/145121 weeks
69-.26918 -.18974 (69*2π)/145121 weeks
70.11849 .15538 (70*2π)/145121 weeks
71-.1061 -.11057 (71*2π)/145120 weeks
72.03612 .21334 (72*2π)/145120 weeks
73.02297 -.05787 (73*2π)/145120 weeks
74.02187 .01423 (74*2π)/145120 weeks
75-.00183 -.03323 (75*2π)/145119 weeks
76.07728 .01129 (76*2π)/145119 weeks
77.0332 .01551 (77*2π)/145119 weeks
78.01226 -.03317 (78*2π)/145119 weeks
79.24569 -.02011 (79*2π)/145118 weeks
80-.21449 -.12037 (80*2π)/145118 weeks
81.05659 .07858 (81*2π)/145118 weeks
82-.06593 -.13831 (82*2π)/145118 weeks
83-.06638 -.00771 (83*2π)/145117 weeks
84.00086 -.06547 (84*2π)/145117 weeks
85-.12688 .03338 (85*2π)/145117 weeks
86.15383 .11678 (86*2π)/145117 weeks
87.03003 -.11474 (87*2π)/145117 weeks
88.03084 -.05013 (88*2π)/145116 weeks
89-.10772 -.08585 (89*2π)/145116 weeks
90-.10018 .28384 (90*2π)/145116 weeks
91.29785 -.06296 (91*2π)/145116 weeks
92-.07197 -.02439 (92*2π)/145116 weeks
93.11746 -.00154 (93*2π)/145116 weeks
94-.00075 -.02508 (94*2π)/145115 weeks
95.11476 -.04657 (95*2π)/145115 weeks
96-.03769 .00207 (96*2π)/145115 weeks
97-.12749 -.05176 (97*2π)/145115 weeks
98.15432 -.03164 (98*2π)/145115 weeks
99-.03499 -.14848 (99*2π)/145115 weeks
100-.07896 -.023 (100*2π)/145115 weeks
101-.13798 .15439 (101*2π)/145114 weeks
102-.00158 .02989 (102*2π)/145114 weeks
103.11307 -.02892 (103*2π)/145114 weeks
104-.09563 -.08891 (104*2π)/145114 weeks
105.02868 .0442 (105*2π)/145114 weeks
106-.07397 .09028 (106*2π)/145114 weeks
107.02304 -.06596 (107*2π)/145114 weeks
108-.10463 -.01505 (108*2π)/145113 weeks
109-.03998 .06507 (109*2π)/145113 weeks
110.01355 .17565 (110*2π)/145113 weeks
111.12391 -.02246 (111*2π)/145113 weeks
112-.03004 -.02129 (112*2π)/145113 weeks
113.08198 .06233 (113*2π)/145113 weeks
114.05387 -.16536 (114*2π)/145113 weeks
115-.17802 -.10411 (115*2π)/145113 weeks
116-.12934 .09058 (116*2π)/145113 weeks
117.07187 .0646 (117*2π)/145112 weeks
118-.04022 .00246 (118*2π)/145112 weeks
119.04136 -.11068 (119*2π)/145112 weeks
120-.16707 .06694 (120*2π)/145112 weeks
121.08428 .05103 (121*2π)/145112 weeks
122-.06862 .09621 (122*2π)/145112 weeks
123.06708 -.02344 (123*2π)/145112 weeks
124.01022 -.00721 (124*2π)/145112 weeks
125.0235 .10068 (125*2π)/145112 weeks
126.08614 -.11277 (126*2π)/145112 weeks
127-.03145 .02524 (127*2π)/145111 weeks
128-.01698 .00261 (128*2π)/145111 weeks
129.02191 .04206 (129*2π)/145111 weeks
130.05123 -.11781 (130*2π)/145111 weeks
131-.10781 -.01868 (131*2π)/145111 weeks
132.03314 -.00612 (132*2π)/145111 weeks
133-.09434 .03918 (133*2π)/145111 weeks
134.02663 .00421 (134*2π)/145111 weeks
135-.0733 .06143 (135*2π)/145111 weeks
136.00662 -.02961 (136*2π)/145111 weeks
137.06594 .08372 (137*2π)/145111 weeks
138.0037 -.00847 (138*2π)/145111 weeks
139.06665 .01206 (139*2π)/145110 weeks
140-.0521 -.00377 (140*2π)/145110 weeks
141.0549 -.02207 (141*2π)/145110 weeks
142-.13289 .0482 (142*2π)/145110 weeks
143.15192 .05118 (143*2π)/145110 weeks
144.03886 -.00785 (144*2π)/145110 weeks
145-.02641 -.07681 (145*2π)/145110 weeks
146-.02803 .03404 (146*2π)/145110 weeks
147-.03683 .01762 (147*2π)/145110 weeks
148.17299 -.04777 (148*2π)/145110 weeks
149-.1422 -.07967 (149*2π)/145110 weeks
150-.01191 .06646 (150*2π)/145110 weeks
151.06813 .03837 (151*2π)/145110 weeks
152.03259 -.00208 (152*2π)/145110 weeks
153.05278 -.10441 (153*2π)/14519 weeks
154-.13579 -.02628 (154*2π)/14519 weeks
155.02087 -.03132 (155*2π)/14519 weeks
156-.05815 .13896 (156*2π)/14519 weeks
157.11672 -.09304 (157*2π)/14519 weeks
158-.19715 .081 (158*2π)/14519 weeks
159.16223 .09688 (159*2π)/14519 weeks
160.01274 -.10107 (160*2π)/14519 weeks
161-.05101 .07071 (161*2π)/14519 weeks
162.07567 .02594 (162*2π)/14519 weeks
163-.00952 -.0221 (163*2π)/14519 weeks
164.06986 -.01152 (164*2π)/14519 weeks
165.03998 -.03535 (165*2π)/14519 weeks
166-.06485 -.0875 (166*2π)/14519 weeks
167-.04915 .06409 (167*2π)/14519 weeks
168.01849 -.00054 (168*2π)/14519 weeks
169.01737 -.05093 (169*2π)/14519 weeks
170-.06053 .00658 (170*2π)/14519 weeks
171.03549 .01661 (171*2π)/14518 weeks
172.02984 .06441 (172*2π)/14518 weeks
173.08861 -.06518 (173*2π)/14518 weeks
174-.08841 -.06443 (174*2π)/14518 weeks
175-.0114 .00357 (175*2π)/14518 weeks
176-.00716 .02136 (176*2π)/14518 weeks
177.06197 .06289 (177*2π)/14518 weeks
178.05195 -.07573 (178*2π)/14518 weeks
179-.12756 -.03794 (179*2π)/14518 weeks
180.0551 .02471 (180*2π)/14518 weeks
181-.094 -.01443 (181*2π)/14518 weeks
182.07466 .07514 (182*2π)/14518 weeks
183-.05386 -.00106 (183*2π)/14518 weeks
184.07049 .03647 (184*2π)/14518 weeks
185-.04191 -.0348 (185*2π)/14518 weeks
186.04918 .01697 (186*2π)/14518 weeks
187.02312 -.00842 (187*2π)/14518 weeks
188-.04338 -.06268 (188*2π)/14518 weeks
189.00221 .15207 (189*2π)/14518 weeks
190.12547 -.08733 (190*2π)/14518 weeks
191-.03319 .02516 (191*2π)/14518 weeks
192.00741 -.00463 (192*2π)/14518 weeks
193-.00281 .06106 (193*2π)/14518 weeks
194.08598 -.02775 (194*2π)/14517 weeks
195-.00675 -.08724 (195*2π)/14517 weeks
196.00574 .02864 (196*2π)/14517 weeks
197-.02456 -.0147 (197*2π)/14517 weeks
198.01161 -.0235 (198*2π)/14517 weeks
199-.04437 -.01849 (199*2π)/14517 weeks
200-.02281 -.06509 (200*2π)/14517 weeks
201-.10201 .04932 (201*2π)/14517 weeks
202.01488 .09306 (202*2π)/14517 weeks
203.09902 -.05924 (203*2π)/14517 weeks
204-.10855 -.03422 (204*2π)/14517 weeks
205.0636 .08142 (205*2π)/14517 weeks
206-.03186 -.10823 (206*2π)/14517 weeks
207-.02366 .09544 (207*2π)/14517 weeks
208.0181 -.05368 (208*2π)/14517 weeks
209-.07153 .071 (209*2π)/14517 weeks
210.07479 .04583 (210*2π)/14517 weeks
211.0085 -.02707 (211*2π)/14517 weeks
212-.02468 .08313 (212*2π)/14517 weeks
213.1089 .00209 (213*2π)/14517 weeks
214.00795 -.01822 (214*2π)/14517 weeks
215.04265 -.05583 (215*2π)/14517 weeks
216-.02135 .02549 (216*2π)/14517 weeks
217.01542 -.06187 (217*2π)/14517 weeks
218-.05995 -.01459 (218*2π)/14517 weeks
219-.01305 .00633 (219*2π)/14517 weeks
220-.02286 .04226 (220*2π)/14517 weeks
221.03589 .03267 (221*2π)/14517 weeks
222.05493 -.04553 (222*2π)/14517 weeks
223-.06328 -.02555 (223*2π)/14517 weeks
224.03333 .04399 (224*2π)/14516 weeks
225.00617 -.02917 (225*2π)/14516 weeks
226-.05945 -.00338 (226*2π)/14516 weeks
227-.02682 .04696 (227*2π)/14516 weeks
228.06523 .02847 (228*2π)/14516 weeks
229.00189 -.03978 (229*2π)/14516 weeks
230.04231 .03575 (230*2π)/14516 weeks
231-.06605 -.09282 (231*2π)/14516 weeks
232-.02355 .06023 (232*2π)/14516 weeks
233.03747 .01263 (233*2π)/14516 weeks
234.03463 -.06405 (234*2π)/14516 weeks
235-.07215 .02932 (235*2π)/14516 weeks
236-.00381 .0426 (236*2π)/14516 weeks
237.02311 -.0665 (237*2π)/14516 weeks
238-.07943 .04656 (238*2π)/14516 weeks
239.04467 .04816 (239*2π)/14516 weeks
240-.00286 .00557 (240*2π)/14516 weeks
241.01782 -.00728 (241*2π)/14516 weeks
242-.03229 .00751 (242*2π)/14516 weeks
243.01705 .02716 (243*2π)/14516 weeks
244.03737 .01117 (244*2π)/14516 weeks
245-.03857 -.04579 (245*2π)/14516 weeks
246-.00489 .01947 (246*2π)/14516 weeks
247.00065 .00677 (247*2π)/14516 weeks
248.04426 -.00406 (248*2π)/14516 weeks
249-.02764 -.03966 (249*2π)/14516 weeks
250-.08951 .00305 (250*2π)/14516 weeks
251.04091 .02792 (251*2π)/14516 weeks
252-.01315 -.02443 (252*2π)/14516 weeks
253-.02133 -.0136 (253*2π)/14516 weeks
254-.06302 .07474 (254*2π)/14516 weeks
255.03384 .08231 (255*2π)/14516 weeks
256.03372 -.03135 (256*2π)/14516 weeks
257-.01178 .01091 (257*2π)/14516 weeks
258.03417 -.00891 (258*2π)/14516 weeks
259-.01516 -.01845 (259*2π)/14516 weeks
260.02269 .04541 (260*2π)/14516 weeks
261.0278 -.03119 (261*2π)/14516 weeks
262-.04314 -.00117 (262*2π)/14516 weeks
263.01084 .03183 (263*2π)/14516 weeks
264.01483 -.01695 (264*2π)/14515 weeks
265-.00172 -.03065 (265*2π)/14515 weeks
266.01187 .04516 (266*2π)/14515 weeks
267.03222 -.0441 (267*2π)/14515 weeks
268-.03586 -.03219 (268*2π)/14515 weeks
269-.00883 .04359 (269*2π)/14515 weeks
270-.00182 -.02146 (270*2π)/14515 weeks
271-.0075 .08039 (271*2π)/14515 weeks
272.1019 -.05438 (272*2π)/14515 weeks
273-.05121 .03406 (273*2π)/14515 weeks
274.0583 -.03012 (274*2π)/14515 weeks
275-.017 -.03257 (275*2π)/14515 weeks
276-.04841 -.03108 (276*2π)/14515 weeks
277.03571 .00031 (277*2π)/14515 weeks
278-.00867 .05576 (278*2π)/14515 weeks
279.03078 -.04596 (279*2π)/14515 weeks
280-.01287 .00477 (280*2π)/14515 weeks
281-.0345 -.00073 (281*2π)/14515 weeks
282-.0003 .04693 (282*2π)/14515 weeks
283.06232 .00606 (283*2π)/14515 weeks
284-.05148 -.10763 (284*2π)/14515 weeks
285-.03249 .09577 (285*2π)/14515 weeks
286.02886 -.03241 (286*2π)/14515 weeks
287-.02462 .03689 (287*2π)/14515 weeks
288.05698 -.02159 (288*2π)/14515 weeks
289-.03206 -.03379 (289*2π)/14515 weeks
290-.01864 .04256 (290*2π)/14515 weeks
291.03968 .06955 (291*2π)/14515 weeks
292.07725 -.02007 (292*2π)/14515 weeks
293-.00992 -.07722 (293*2π)/14515 weeks
294-.02017 .06886 (294*2π)/14515 weeks
295.04559 -.04932 (295*2π)/14515 weeks
296-.05569 .00083 (296*2π)/14515 weeks
297.03376 -.00474 (297*2π)/14515 weeks
298-.04578 -.04349 (298*2π)/14515 weeks
299-.00029 .04801 (299*2π)/14515 weeks
300-.021 .00742 (300*2π)/14515 weeks
301.04053 .01629 (301*2π)/14515 weeks
302-.05379 -.04206 (302*2π)/14515 weeks
303.0249 .03171 (303*2π)/14515 weeks
304.059 -.01194 (304*2π)/14515 weeks
305-.04163 -.01796 (305*2π)/14515 weeks
306.00523 .03425 (306*2π)/14515 weeks
307-.01136 -.00026 (307*2π)/14515 weeks
308.01466 -.04144 (308*2π)/14515 weeks
309.02769 .03932 (309*2π)/14515 weeks
310-.04841 -.04433 (310*2π)/14515 weeks
311-.02723 .05028 (311*2π)/14515 weeks
312.01153 .05594 (312*2π)/14515 weeks
313.09766 -.03175 (313*2π)/14515 weeks
314-.0356 -.02558 (314*2π)/14515 weeks
315.01069 .01099 (315*2π)/14515 weeks
316-.00319 .00434 (316*2π)/14515 weeks
317.00619 .02158 (317*2π)/14515 weeks
318.01676 -.00908 (318*2π)/14515 weeks
319-.00056 -.04533 (319*2π)/14515 weeks
320-.0161 .00534 (320*2π)/14515 weeks
321-.00818 .04983 (321*2π)/14515 weeks
322.06643 -.05286 (322*2π)/14515 weeks
323-.05758 .00731 (323*2π)/14514 weeks
324.00413 -.002 (324*2π)/14514 weeks
325.02306 .02226 (325*2π)/14514 weeks
326-.01286 -.01932 (326*2π)/14514 weeks
327.02986 -.02413 (327*2π)/14514 weeks
328-.00989 -.01811 (328*2π)/14514 weeks
329-.01005 -.01112 (329*2π)/14514 weeks
330.02944 .02056 (330*2π)/14514 weeks
331-.05407 -.05055 (331*2π)/14514 weeks
332.01259 .04932 (332*2π)/14514 weeks
333-.00904 -.02871 (333*2π)/14514 weeks
334.00082 .01305 (334*2π)/14514 weeks
335-.02473 .00204 (335*2π)/14514 weeks
336.02799 .01606 (336*2π)/14514 weeks
337-.03062 -.03477 (337*2π)/14514 weeks
338-.01588 -.01569 (338*2π)/14514 weeks
339-.04569 .00843 (339*2π)/14514 weeks
340.04239 .07767 (340*2π)/14514 weeks
341.01049 -.02953 (341*2π)/14514 weeks
342.01189 .03192 (342*2π)/14514 weeks
343.00601 -.03379 (343*2π)/14514 weeks
344.03771 -.00335 (344*2π)/14514 weeks
345-.00518 .00136 (345*2π)/14514 weeks
346.00536 -.05088 (346*2π)/14514 weeks
347-.02683 .01108 (347*2π)/14514 weeks
348-.00007 -.01312 (348*2π)/14514 weeks
349-.03831 .00544 (349*2π)/14514 weeks
350-.02126 .04117 (350*2π)/14514 weeks
351.02777 .03038 (351*2π)/14514 weeks
352.04725 -.012 (352*2π)/14514 weeks
353-.01776 -.05818 (353*2π)/14514 weeks
354-.03857 .03034 (354*2π)/14514 weeks
355-.0148 .00751 (355*2π)/14514 weeks
356.02644 .05428 (356*2π)/14514 weeks
357.0677 -.04698 (357*2π)/14514 weeks
358-.0781 -.02133 (358*2π)/14514 weeks
359.00176 .07274 (359*2π)/14514 weeks
360.05622 .00261 (360*2π)/14514 weeks
361.02155 -.03118 (361*2π)/14514 weeks
362-.00605 -.02483 (362*2π)/14514 weeks
363-.02866 -.0268 (363*2π)/14514 weeks
364-.02761 .02433 (364*2π)/14514 weeks
365-.02988 -.00405 (365*2π)/14514 weeks
366.0325 -.00187 (366*2π)/14514 weeks
367-.03582 .01445 (367*2π)/14514 weeks
368.04609 .0174 (368*2π)/14514 weeks
369-.03431 -.00252 (369*2π)/14514 weeks
370.0052 .02081 (370*2π)/14514 weeks
371.01762 -.01306 (371*2π)/14514 weeks
372-.02154 .01662 (372*2π)/14514 weeks
373.03025 .02715 (373*2π)/14514 weeks
374.00335 -.03316 (374*2π)/14514 weeks
375-.0044 .01026 (375*2π)/14514 weeks
376-.01257 .0148 (376*2π)/14514 weeks
377.05966 .00886 (377*2π)/14514 weeks
378-.00133 -.01294 (378*2π)/14514 weeks
379.02802 -.01937 (379*2π)/14514 weeks
380-.03409 -.0613 (380*2π)/14514 weeks
381-.06085 .03508 (381*2π)/14514 weeks
382.04897 .01486 (382*2π)/14514 weeks
383-.00537 -.01264 (383*2π)/14514 weeks
384-.05077 .00181 (384*2π)/14514 weeks
385.01047 .04506 (385*2π)/14514 weeks
386.01341 .02287 (386*2π)/14514 weeks
387.04741 -.00585 (387*2π)/14514 weeks
388-.00497 .00473 (388*2π)/14514 weeks
389-.00033 -.01962 (389*2π)/14514 weeks
390-.03144 .03149 (390*2π)/14514 weeks
391.05909 .02277 (391*2π)/14514 weeks
392-.02106 -.05832 (392*2π)/14514 weeks
393-.02041 .02592 (393*2π)/14514 weeks
394.01833 .01672 (394*2π)/14514 weeks
395.01041 -.01793 (395*2π)/14514 weeks
396-.01959 .01311 (396*2π)/14514 weeks
397.02726 .00042 (397*2π)/14514 weeks
398.01164 -.02042 (398*2π)/14514 weeks
399-.04921 -.02156 (399*2π)/14514 weeks
400.03683 .06285 (400*2π)/14514 weeks
401.00678 -.05541 (401*2π)/14514 weeks
402-.00993 .00969 (402*2π)/14514 weeks
403-.00344 -.0079 (403*2π)/14514 weeks
404-.03911 -.00802 (404*2π)/14514 weeks
405-.01729 .0517 (405*2π)/14514 weeks
406.04962 -.01362 (406*2π)/14514 weeks
407-.02005 -.00693 (407*2π)/14514 weeks
408-.0115 -.01242 (408*2π)/14514 weeks
409.02776 .05963 (409*2π)/14514 weeks
410.03653 -.02881 (410*2π)/14514 weeks
411-.02103 -.01796 (411*2π)/14514 weeks
412.00703 .00888 (412*2π)/14514 weeks
413-.00742 -.05857 (413*2π)/14514 weeks
414-.02038 .03853 (414*2π)/14514 weeks
415-.00086 -.00309 (415*2π)/14513 weeks
416.01149 -.01332 (416*2π)/14513 weeks
417-.03183 .0294 (417*2π)/14513 weeks
418.03207 -.01918 (418*2π)/14513 weeks
419-.0472 .01798 (419*2π)/14513 weeks
420.01621 .01737 (420*2π)/14513 weeks
421.02646 .02118 (421*2π)/14513 weeks
422.02395 -.02272 (422*2π)/14513 weeks
423.00382 -.01779 (423*2π)/14513 weeks
424-.00509 -.02077 (424*2π)/14513 weeks
425-.00199 .03206 (425*2π)/14513 weeks
426.01099 -.02167 (426*2π)/14513 weeks
427-.00513 -.01807 (427*2π)/14513 weeks
428.02713 -.02079 (428*2π)/14513 weeks
429-.03003 -.00603 (429*2π)/14513 weeks
430.00115 .01703 (430*2π)/14513 weeks
431-.03307 -.00641 (431*2π)/14513 weeks
432.02112 .00586 (432*2π)/14513 weeks
433-.01357 -.02022 (433*2π)/14513 weeks
434-.00931 .0359 (434*2π)/14513 weeks
435.00684 -.00181 (435*2π)/14513 weeks
436.01709 .03035 (436*2π)/14513 weeks
437.03517 -.02227 (437*2π)/14513 weeks
438-.02207 -.00685 (438*2π)/14513 weeks
439.01164 .04054 (439*2π)/14513 weeks
440.0482 -.04011 (440*2π)/14513 weeks
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