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Fourier Analysis of YPF (YPF Sociedad Anonima)


YPF (YPF Sociedad Anonima) appears to have interesting cyclic behaviour every 138 weeks (1.2786*sine), 81 weeks (1.2664*sine), and 55 weeks (.7235*cosine).

YPF (YPF Sociedad Anonima) has an average price of 18.16 (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 6/30/1993 to 11/18/2019 for YPF (YPF Sociedad Anonima), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
018.15843   0 
1-7.12012 -9.47301 (1*2π)/13781,378 weeks
21.43553 .93449 (2*2π)/1378689 weeks
3-2.14004 -2.17456 (3*2π)/1378459 weeks
4-.29135 -2.62626 (4*2π)/1378345 weeks
5.44024 2.97788 (5*2π)/1378276 weeks
6.91004 -2.57924 (6*2π)/1378230 weeks
7-1.1365 -1.85762 (7*2π)/1378197 weeks
8-2.39643 1.63587 (8*2π)/1378172 weeks
91.28614 2.02744 (9*2π)/1378153 weeks
10.53738 -1.27855 (10*2π)/1378138 weeks
11-.30884 .01907 (11*2π)/1378125 weeks
12-.1 -.41633 (12*2π)/1378115 weeks
13.53516 .1091 (13*2π)/1378106 weeks
14-.2531 -.18166 (14*2π)/137898 weeks
15-.33732 -.38405 (15*2π)/137892 weeks
16.17466 .25276 (16*2π)/137886 weeks
17-.1545 -1.26644 (17*2π)/137881 weeks
18-.26199 .63047 (18*2π)/137877 weeks
19.3057 -.51525 (19*2π)/137873 weeks
20-.68678 -.05224 (20*2π)/137869 weeks
21.17343 -.24623 (21*2π)/137866 weeks
22-.46135 -.09205 (22*2π)/137863 weeks
23.04584 .45643 (23*2π)/137860 weeks
24.24545 -.46076 (24*2π)/137857 weeks
25-.72353 -.30033 (25*2π)/137855 weeks
26-.22917 .36409 (26*2π)/137853 weeks
27.13783 -.10511 (27*2π)/137851 weeks
28-.33448 .25745 (28*2π)/137849 weeks
29-.22572 .28274 (29*2π)/137848 weeks
30.62929 .31161 (30*2π)/137846 weeks
31.29683 -.6278 (31*2π)/137844 weeks
32-.42205 -.3501 (32*2π)/137843 weeks
33-.36411 .09584 (33*2π)/137842 weeks
34.01369 -.02302 (34*2π)/137841 weeks
35-.36835 .11677 (35*2π)/137839 weeks
36.06679 -.09757 (36*2π)/137838 weeks
37-.18196 -.22342 (37*2π)/137837 weeks
38-.25661 .28977 (38*2π)/137836 weeks
39-.01479 .08157 (39*2π)/137835 weeks
40.07113 .26189 (40*2π)/137834 weeks
41.36301 -.12873 (41*2π)/137834 weeks
42-.4762 -.28457 (42*2π)/137833 weeks
43.02005 .2096 (43*2π)/137832 weeks
44.02467 .05531 (44*2π)/137831 weeks
45-.03198 .02193 (45*2π)/137831 weeks
46-.04712 .31821 (46*2π)/137830 weeks
47-.17494 -.10835 (47*2π)/137829 weeks
48.24681 .11188 (48*2π)/137829 weeks
49-.24669 -.26822 (49*2π)/137828 weeks
50.05779 .59729 (50*2π)/137828 weeks
51.26577 -.17333 (51*2π)/137827 weeks
52-.15098 -.14851 (52*2π)/137827 weeks
53.16923 .17904 (53*2π)/137826 weeks
54.1886 -.22858 (54*2π)/137826 weeks
55-.27148 -.06883 (55*2π)/137825 weeks
56-.11612 .14005 (56*2π)/137825 weeks
57.02126 .28565 (57*2π)/137824 weeks
58.24445 -.12224 (58*2π)/137824 weeks
59-.06469 .0189 (59*2π)/137823 weeks
60-.0021 .0184 (60*2π)/137823 weeks
61.04613 .0775 (61*2π)/137823 weeks
62.032 .0958 (62*2π)/137822 weeks
63.26699 -.12026 (63*2π)/137822 weeks
64-.10289 -.06844 (64*2π)/137822 weeks
65.00308 .23327 (65*2π)/137821 weeks
66.25081 -.25001 (66*2π)/137821 weeks
67-.09011 .04634 (67*2π)/137821 weeks
68.24813 -.05229 (68*2π)/137820 weeks
69-.08555 -.11471 (69*2π)/137820 weeks
70.02934 -.04506 (70*2π)/137820 weeks
71-.00475 -.06338 (71*2π)/137819 weeks
72.09197 -.05609 (72*2π)/137819 weeks
73.03478 -.02117 (73*2π)/137819 weeks
74.01205 -.06185 (74*2π)/137819 weeks
75.2589 -.05773 (75*2π)/137818 weeks
76-.20825 -.1552 (76*2π)/137818 weeks
77.03637 .08241 (77*2π)/137818 weeks
78.00772 -.17046 (78*2π)/137818 weeks
79-.04696 -.07695 (79*2π)/137817 weeks
80.06485 -.09228 (80*2π)/137817 weeks
81-.09668 -.19029 (81*2π)/137817 weeks
82-.08186 .1173 (82*2π)/137817 weeks
83.06932 -.01368 (83*2π)/137817 weeks
84.07043 .04832 (84*2π)/137816 weeks
85.2644 -.07968 (85*2π)/137816 weeks
86-.12952 -.34538 (86*2π)/137816 weeks
87-.07093 .12297 (87*2π)/137816 weeks
88.05769 -.11006 (88*2π)/137816 weeks
89-.03503 -.00057 (89*2π)/137815 weeks
90.04228 -.08856 (90*2π)/137815 weeks
91-.0591 .04436 (91*2π)/137815 weeks
92-.12815 -.00503 (92*2π)/137815 weeks
93.16192 -.07193 (93*2π)/137815 weeks
94-.03985 -.15218 (94*2π)/137815 weeks
95-.06021 -.03933 (95*2π)/137815 weeks
96-.17818 .11204 (96*2π)/137814 weeks
97-.04583 .03021 (97*2π)/137814 weeks
98.1141 .0618 (98*2π)/137814 weeks
99.02602 -.12925 (99*2π)/137814 weeks
100.03236 .03602 (100*2π)/137814 weeks
101-.11733 -.01 (101*2π)/137814 weeks
102.06162 .03506 (102*2π)/137814 weeks
103.06603 -.08402 (103*2π)/137813 weeks
104.06088 -.08786 (104*2π)/137813 weeks
105-.13093 -.13598 (105*2π)/137813 weeks
106-.086 .04031 (106*2π)/137813 weeks
107.02174 -.05564 (107*2π)/137813 weeks
108-.17613 -.12004 (108*2π)/137813 weeks
109-.20597 .08767 (109*2π)/137813 weeks
110-.02534 .14118 (110*2π)/137813 weeks
111.10339 .0001 (111*2π)/137812 weeks
112-.04545 -.01959 (112*2π)/137812 weeks
113.03632 -.13978 (113*2π)/137812 weeks
114-.18795 .01865 (114*2π)/137812 weeks
115.06108 .04547 (115*2π)/137812 weeks
116-.12513 .04303 (116*2π)/137812 weeks
117.03764 .00411 (117*2π)/137812 weeks
118.00985 -.03082 (118*2π)/137812 weeks
119-.11503 .06407 (119*2π)/137812 weeks
120.11065 .04222 (120*2π)/137811 weeks
121-.01534 -.00389 (121*2π)/137811 weeks
122-.00747 -.02955 (122*2π)/137811 weeks
123-.11808 -.0116 (123*2π)/137811 weeks
124.01565 .11422 (124*2π)/137811 weeks
125.04542 -.04932 (125*2π)/137811 weeks
126-.00137 .08817 (126*2π)/137811 weeks
127.03052 -.0466 (127*2π)/137811 weeks
128-.01804 .06396 (128*2π)/137811 weeks
129.00817 -.06516 (129*2π)/137811 weeks
130.09356 .03568 (130*2π)/137811 weeks
131-.00796 -.03668 (131*2π)/137811 weeks
132.0636 -.01211 (132*2π)/137810 weeks
133-.0604 -.03152 (133*2π)/137810 weeks
134.05962 -.0306 (134*2π)/137810 weeks
135-.16559 -.05991 (135*2π)/137810 weeks
136.05796 .10847 (136*2π)/137810 weeks
137.0192 .04864 (137*2π)/137810 weeks
138.05571 -.06075 (138*2π)/137810 weeks
139-.0296 -.03107 (139*2π)/137810 weeks
140-.07715 -.10595 (140*2π)/137810 weeks
141.01037 .17948 (141*2π)/137810 weeks
142.11263 -.07802 (142*2π)/137810 weeks
143.01962 -.0883 (143*2π)/137810 weeks
144-.04064 -.02891 (144*2π)/137810 weeks
145-.08174 -.06851 (145*2π)/137810 weeks
146-.08881 .10614 (146*2π)/13789 weeks
147.03855 -.0357 (147*2π)/13789 weeks
148.03091 .1371 (148*2π)/13789 weeks
149.08022 -.14872 (149*2π)/13789 weeks
150-.18834 .11024 (150*2π)/13789 weeks
151.17023 .08423 (151*2π)/13789 weeks
152.03397 -.11928 (152*2π)/13789 weeks
153-.08071 .03076 (153*2π)/13789 weeks
154.0381 .05415 (154*2π)/13789 weeks
155-.01221 -.03132 (155*2π)/13789 weeks
156.03968 .03918 (156*2π)/13789 weeks
157.05048 .05365 (157*2π)/13789 weeks
158.09424 -.07536 (158*2π)/13789 weeks
159-.04172 -.06219 (159*2π)/13789 weeks
160-.02409 -.01873 (160*2π)/13789 weeks
161.04421 .02439 (161*2π)/13789 weeks
162.04907 -.08029 (162*2π)/13789 weeks
163.0506 -.02658 (163*2π)/13788 weeks
164-.04329 -.107 (164*2π)/13788 weeks
165-.10427 .03991 (165*2π)/13788 weeks
166.03037 .00646 (166*2π)/13788 weeks
167.02856 .01418 (167*2π)/13788 weeks
168.09068 .02393 (168*2π)/13788 weeks
169.04388 -.10217 (169*2π)/13788 weeks
170-.12525 -.05516 (170*2π)/13788 weeks
171.06197 .01848 (171*2π)/13788 weeks
172-.07841 -.07492 (172*2π)/13788 weeks
173.03631 .08398 (173*2π)/13788 weeks
174-.04189 -.05148 (174*2π)/13788 weeks
175.0157 .06677 (175*2π)/13788 weeks
176.00856 -.0706 (176*2π)/13788 weeks
177.00659 .02107 (177*2π)/13788 weeks
178.00982 .03232 (178*2π)/13788 weeks
179.13824 -.06005 (179*2π)/13788 weeks
180-.11455 -.10677 (180*2π)/13788 weeks
181.03148 .09755 (181*2π)/13788 weeks
182.00771 -.00858 (182*2π)/13788 weeks
183.04557 .02382 (183*2π)/13788 weeks
184.0173 -.09197 (184*2π)/13787 weeks
185-.0673 -.04574 (185*2π)/13787 weeks
186.02287 .04344 (186*2π)/13787 weeks
187-.0258 -.00044 (187*2π)/13787 weeks
188.01367 -.02037 (188*2π)/13787 weeks
189-.03618 -.0171 (189*2π)/13787 weeks
190.00589 -.07343 (190*2π)/13787 weeks
191-.11212 -.00547 (191*2π)/13787 weeks
192-.06122 .08791 (192*2π)/13787 weeks
193.12036 .04687 (193*2π)/13787 weeks
194-.01892 -.11278 (194*2π)/13787 weeks
195-.04845 .09887 (195*2π)/13787 weeks
196.11736 -.05274 (196*2π)/13787 weeks
197-.06749 -.01088 (197*2π)/13787 weeks
198.0849 .03395 (198*2π)/13787 weeks
199.01102 -.10209 (199*2π)/13787 weeks
200-.04445 .00397 (200*2π)/13787 weeks
201.05163 .04142 (201*2π)/13787 weeks
202.02336 -.10723 (202*2π)/13787 weeks
203-.04876 -.00916 (203*2π)/13787 weeks
204-.01873 -.05442 (204*2π)/13787 weeks
205-.02958 .0456 (205*2π)/13787 weeks
206-.01693 -.06189 (206*2π)/13787 weeks
207-.0739 -.00131 (207*2π)/13787 weeks
208-.0231 .00748 (208*2π)/13787 weeks
209-.04622 .03577 (209*2π)/13787 weeks
210.00311 .05279 (210*2π)/13787 weeks
211.07204 .00667 (211*2π)/13787 weeks
212-.02373 -.06803 (212*2π)/13787 weeks
213-.01821 .04992 (213*2π)/13786 weeks
214.03427 .0188 (214*2π)/13786 weeks
215.00765 -.05092 (215*2π)/13786 weeks
216-.04208 -.06569 (216*2π)/13786 weeks
217-.05833 .03172 (217*2π)/13786 weeks
218.02036 -.00336 (218*2π)/13786 weeks
219-.10879 .04977 (219*2π)/13786 weeks
220.07419 .03174 (220*2π)/13786 weeks
221.01689 -.04481 (221*2π)/13786 weeks
222-.03649 -.05627 (222*2π)/13786 weeks
223-.04731 .0809 (223*2π)/13786 weeks
224.01595 .03014 (224*2π)/13786 weeks
225-.00011 -.07755 (225*2π)/13786 weeks
226-.08095 .05343 (226*2π)/13786 weeks
227.04043 .05117 (227*2π)/13786 weeks
228-.00812 .00621 (228*2π)/13786 weeks
229.01959 -.00062 (229*2π)/13786 weeks
230-.03315 -.01809 (230*2π)/13786 weeks
231-.01931 .02681 (231*2π)/13786 weeks
232-.00015 .05985 (232*2π)/13786 weeks
233.01993 -.04049 (233*2π)/13786 weeks
234-.01704 -.00534 (234*2π)/13786 weeks
235-.02348 -.01272 (235*2π)/13786 weeks
236-.03007 .06167 (236*2π)/13786 weeks
237.01516 .05522 (237*2π)/13786 weeks
238.04308 -.06489 (238*2π)/13786 weeks
239-.03807 .001 (239*2π)/13786 weeks
240-.00806 .0163 (240*2π)/13786 weeks
241.01977 .08722 (241*2π)/13786 weeks
242.07235 .01318 (242*2π)/13786 weeks
243.00573 -.07154 (243*2π)/13786 weeks
244-.01719 -.00124 (244*2π)/13786 weeks
245.0282 -.02539 (245*2π)/13786 weeks
246-.02028 -.0358 (246*2π)/13786 weeks
247.00436 .04113 (247*2π)/13786 weeks
248.04087 -.02145 (248*2π)/13786 weeks
249-.03508 -.04204 (249*2π)/13786 weeks
250-.02815 .01528 (250*2π)/13786 weeks
251.00685 -.0018 (251*2π)/13785 weeks
252.03205 -.03387 (252*2π)/13785 weeks
253-.05108 .00545 (253*2π)/13785 weeks
254.02417 .03647 (254*2π)/13785 weeks
255.05966 -.01905 (255*2π)/13785 weeks
256-.01684 -.02512 (256*2π)/13785 weeks
257.06604 .00142 (257*2π)/13785 weeks
258-.02242 -.11871 (258*2π)/13785 weeks
259-.02275 .0744 (259*2π)/13785 weeks
260.01337 -.07168 (260*2π)/13785 weeks
261-.04583 -.01143 (261*2π)/13785 weeks
262-.05465 -.00758 (262*2π)/13785 weeks
263.04139 -.00441 (263*2π)/13785 weeks
264-.00603 .0585 (264*2π)/13785 weeks
265.03799 -.04407 (265*2π)/13785 weeks
266-.00882 -.00389 (266*2π)/13785 weeks
267-.02949 -.02631 (267*2π)/13785 weeks
268-.04125 .03061 (268*2π)/13785 weeks
269.02563 .07534 (269*2π)/13785 weeks
270.08738 -.1009 (270*2π)/13785 weeks
271-.08488 -.0133 (271*2π)/13785 weeks
272.03476 .00517 (272*2π)/13785 weeks
273-.04346 -.0478 (273*2π)/13785 weeks
274-.00415 .04705 (274*2π)/13785 weeks
275.06288 .00232 (275*2π)/13785 weeks
276.05005 -.04112 (276*2π)/13785 weeks
277-.02806 -.07567 (277*2π)/13785 weeks
278-.08142 -.00978 (278*2π)/13785 weeks
279.02686 .07747 (279*2π)/13785 weeks
280.00042 -.06934 (280*2π)/13785 weeks
281-.06109 .02842 (281*2π)/13785 weeks
282.02976 -.01009 (282*2π)/13785 weeks
283-.0534 -.04433 (283*2π)/13785 weeks
284-.01046 .04835 (284*2π)/13785 weeks
285-.03179 .00237 (285*2π)/13785 weeks
286.02298 .04139 (286*2π)/13785 weeks
287-.0246 -.07295 (287*2π)/13785 weeks
288-.02204 .02077 (288*2π)/13785 weeks
289.04005 .05655 (289*2π)/13785 weeks
290.01405 -.03454 (290*2π)/13785 weeks
291-.02793 .01221 (291*2π)/13785 weeks
292-.0284 -.01491 (292*2π)/13785 weeks
293.0467 .00119 (293*2π)/13785 weeks
294-.05104 .04613 (294*2π)/13785 weeks
295.05877 .02258 (295*2π)/13785 weeks
296.03821 -.02145 (296*2π)/13785 weeks
297.01073 -.10251 (297*2π)/13785 weeks
298-.06586 .02032 (298*2π)/13785 weeks
299.00806 .0111 (299*2π)/13785 weeks
300-.01211 .00704 (300*2π)/13785 weeks
301.00058 .02103 (301*2π)/13785 weeks
302.00654 -.00887 (302*2π)/13785 weeks
303-.00231 -.04912 (303*2π)/13785 weeks
304-.02543 -.0085 (304*2π)/13785 weeks
305-.05388 .04238 (305*2π)/13785 weeks
306.07887 .00805 (306*2π)/13785 weeks
307-.04231 -.03782 (307*2π)/13784 weeks
308-.00852 -.01598 (308*2π)/13784 weeks
309-.03058 .0281 (309*2π)/13784 weeks
310-.01865 -.02313 (310*2π)/13784 weeks
311.00384 .02274 (311*2π)/13784 weeks
312.00651 .00319 (312*2π)/13784 weeks
313.02182 -.01442 (313*2π)/13784 weeks
314-.0611 .03194 (314*2π)/13784 weeks
315.06323 .00784 (315*2π)/13784 weeks
316-.03319 -.02062 (316*2π)/13784 weeks
317.0103 .00965 (317*2π)/13784 weeks
318-.01966 .00851 (318*2π)/13784 weeks
319.03091 .00091 (319*2π)/13784 weeks
320-.04053 -.03661 (320*2π)/13784 weeks
321-.01607 -.02234 (321*2π)/13784 weeks
322-.05244 -.0101 (322*2π)/13784 weeks
323.00402 .08782 (323*2π)/13784 weeks
324.01729 -.01927 (324*2π)/13784 weeks
325-.0211 .03617 (325*2π)/13784 weeks
326.01315 -.01758 (326*2π)/13784 weeks
327.02109 .03246 (327*2π)/13784 weeks
328-.01669 .01572 (328*2π)/13784 weeks
329.05128 .01529 (329*2π)/13784 weeks
330.00042 -.00926 (330*2π)/13784 weeks
331.02332 .02526 (331*2π)/13784 weeks
332.03926 -.00497 (332*2π)/13784 weeks
333.02007 -.04383 (333*2π)/13784 weeks
334-.01145 -.04926 (334*2π)/13784 weeks
335-.06273 -.00992 (335*2π)/13784 weeks
336-.00467 .05705 (336*2π)/13784 weeks
337-.00022 .00677 (337*2π)/13784 weeks
338.04768 .0366 (338*2π)/13784 weeks
339.06058 -.06287 (339*2π)/13784 weeks
340-.08334 -.02953 (340*2π)/13784 weeks
341-.02104 .07115 (341*2π)/13784 weeks
342.04638 .03259 (342*2π)/13784 weeks
343.0389 -.00231 (343*2π)/13784 weeks
344.02433 -.00972 (344*2π)/13784 weeks
345.02353 -.03498 (345*2π)/13784 weeks
346-.02124 -.0106 (346*2π)/13784 weeks
347-.01067 -.0468 (347*2π)/13784 weeks
348.02161 .02281 (348*2π)/13784 weeks
349.00227 -.04901 (349*2π)/13784 weeks
350-.01805 .0401 (350*2π)/13784 weeks
351.01668 -.01921 (351*2π)/13784 weeks
352-.01126 -.02365 (352*2π)/13784 weeks
353.00068 .02477 (353*2π)/13784 weeks
354.03205 -.01589 (354*2π)/13784 weeks
355-.02753 -.03357 (355*2π)/13784 weeks
356-.00293 .01312 (356*2π)/13784 weeks
357-.0094 .0133 (357*2π)/13784 weeks
358.06059 -.00223 (358*2π)/13784 weeks
359-.00304 -.01445 (359*2π)/13784 weeks
360.03484 -.01131 (360*2π)/13784 weeks
361.00317 -.07963 (361*2π)/13784 weeks
362-.07244 -.02285 (362*2π)/13784 weeks
363.02136 .03602 (363*2π)/13784 weeks
364.02092 -.00461 (364*2π)/13784 weeks
365-.00725 -.06137 (365*2π)/13784 weeks
366-.03037 -.00868 (366*2π)/13784 weeks
367-.03427 -.01518 (367*2π)/13784 weeks
368-.0048 .03694 (368*2π)/13784 weeks
369-.0192 .00755 (369*2π)/13784 weeks
370.01995 .02941 (370*2π)/13784 weeks
371.01938 -.05189 (371*2π)/13784 weeks
372-.07794 -.00357 (372*2π)/13784 weeks
373.00952 .04035 (373*2π)/13784 weeks
374.01997 -.00343 (374*2π)/13784 weeks
375-.00709 -.0225 (375*2π)/13784 weeks
376-.0223 .01888 (376*2π)/13784 weeks
377.02255 -.0037 (377*2π)/13784 weeks
378.01 -.02154 (378*2π)/13784 weeks
379-.05008 -.04006 (379*2π)/13784 weeks
380-.00221 .07638 (380*2π)/13784 weeks
381.03414 -.03689 (381*2π)/13784 weeks
382-.0089 .00043 (382*2π)/13784 weeks
383.00936 .00021 (383*2π)/13784 weeks
384.00418 -.04626 (384*2π)/13784 weeks
385-.0641 -.03144 (385*2π)/13784 weeks
386-.00181 .03674 (386*2π)/13784 weeks
387-.00421 -.01043 (387*2π)/13784 weeks
388.04245 -.02883 (388*2π)/13784 weeks
389-.05518 -.03195 (389*2π)/13784 weeks
390-.03703 .02612 (390*2π)/13784 weeks
391.0018 -.00144 (391*2π)/13784 weeks
392-.04891 -.03115 (392*2π)/13784 weeks
393.00534 .05259 (393*2π)/13784 weeks
394-.0059 -.00811 (394*2π)/13783 weeks
395.0028 -.0176 (395*2π)/13783 weeks
396-.03687 .03151 (396*2π)/13783 weeks
397.02929 -.01946 (397*2π)/13783 weeks
398-.06026 -.00132 (398*2π)/13783 weeks
399-.00795 .0162 (399*2π)/13783 weeks
400-.00798 .03538 (400*2π)/13783 weeks
401.01814 .00806 (401*2π)/13783 weeks
402.01081 -.00071 (402*2π)/13783 weeks
403.02223 -.01672 (403*2π)/13783 weeks
404-.04078 .00262 (404*2π)/13783 weeks
405-.00413 .00605 (405*2π)/13783 weeks
406.00025 -.01535 (406*2π)/13783 weeks
407.00677 .041 (407*2π)/13783 weeks
408.02199 -.00032 (408*2π)/13783 weeks
409-.01946 .01386 (409*2π)/13783 weeks
410.02377 -.02148 (410*2π)/13783 weeks
411-.02144 -.00426 (411*2π)/13783 weeks
412.01692 .03394 (412*2π)/13783 weeks
413.00783 -.01053 (413*2π)/13783 weeks
414.02247 .02185 (414*2π)/13783 weeks
415.03256 -.02959 (415*2π)/13783 weeks
416-.02506 -.01422 (416*2π)/13783 weeks
417-.00921 .04295 (417*2π)/13783 weeks
418.06196 -.01356 (418*2π)/13783 weeks
419-.01487 -.01147 (419*2π)/13783 weeks
420.02907 -.00586 (420*2π)/13783 weeks
421-.03427 -.00226 (421*2π)/13783 weeks
422.02352 .01724 (422*2π)/13783 weeks
423.00694 -.0155 (423*2π)/13783 weeks
424.01581 -.03088 (424*2π)/13783 weeks
425-.02069 -.02799 (425*2π)/13783 weeks
426-.02513 .03291 (426*2π)/13783 weeks
427.03026 .02874 (427*2π)/13783 weeks
428.00314 -.03588 (428*2π)/13783 weeks
429-.01166 -.01367 (429*2π)/13783 weeks
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