Back to list of Stocks    See Also: Seasonal Analysis of FXEGenetic Algorithms Stock Portfolio Generator, and Best Months to Buy/Sell Stocks

# Fourier Analysis of FXE (CurrencyShares Euro ETF)

FXE (CurrencyShares Euro ETF) appears to have interesting cyclic behaviour every 64 weeks (1.2118*cosine), 53 weeks (.982*cosine), and 38 weeks (.776*cosine).

FXE (CurrencyShares Euro ETF) has an average price of 126.08 (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 12/12/2005 to 3/19/2018 for FXE (CurrencyShares Euro ETF), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
0126.0778   0
1-10.18951 10.97944 (1*2π)/641641 weeks
2-3.51821 5.523 (2*2π)/641321 weeks
3.60271 -.74749 (3*2π)/641214 weeks
4-.70542 -4.59013 (4*2π)/641160 weeks
5.02048 1.2006 (5*2π)/641128 weeks
63.2 -.86059 (6*2π)/641107 weeks
71.21658 1.56757 (7*2π)/64192 weeks
8-3.8617 -1.6398 (8*2π)/64180 weeks
9.65278 -2.1185 (9*2π)/64171 weeks
101.2118 -.2265 (10*2π)/64164 weeks
11-.9535 .51813 (11*2π)/64158 weeks
12-.98198 -.13195 (12*2π)/64153 weeks
13-.34458 .10159 (13*2π)/64149 weeks
14.33022 -.18828 (14*2π)/64146 weeks
15.43544 -.93625 (15*2π)/64143 weeks
16.00571 .84587 (16*2π)/64140 weeks
17-.77596 -.69326 (17*2π)/64138 weeks
18.56122 -.2162 (18*2π)/64136 weeks
19.41233 -.75129 (19*2π)/64134 weeks
20.29412 -.45194 (20*2π)/64132 weeks
21-.07951 .2032 (21*2π)/64131 weeks
22-.34768 -.23887 (22*2π)/64129 weeks
23.4391 -.65607 (23*2π)/64128 weeks
24-.0509 -.07318 (24*2π)/64127 weeks
25.43901 -.58705 (25*2π)/64126 weeks
26.11127 .13931 (26*2π)/64125 weeks
27-.16083 -.88618 (27*2π)/64124 weeks
28.15323 .01749 (28*2π)/64123 weeks
29-.08635 .53421 (29*2π)/64122 weeks
30-.52861 .00251 (30*2π)/64121 weeks
31.1194 -.63719 (31*2π)/64121 weeks
32-.04609 -.17884 (32*2π)/64120 weeks
33.29134 .48969 (33*2π)/64119 weeks
34-.26326 -.18328 (34*2π)/64119 weeks
35-.07754 -.35801 (35*2π)/64118 weeks
36-.20596 -.26191 (36*2π)/64118 weeks
37.12681 -.07366 (37*2π)/64117 weeks
38.13923 .47944 (38*2π)/64117 weeks
39-.2524 -.09876 (39*2π)/64116 weeks
40.38031 .16531 (40*2π)/64116 weeks
41-.25215 .12572 (41*2π)/64116 weeks
42-.38564 .16533 (42*2π)/64115 weeks
43.09913 -.19378 (43*2π)/64115 weeks
44-.05813 .06766 (44*2π)/64115 weeks
45.02605 -.42869 (45*2π)/64114 weeks
46-.17736 .30439 (46*2π)/64114 weeks
47-.52336 -.39155 (47*2π)/64114 weeks
48.42816 -.3606 (48*2π)/64113 weeks
49-.03453 .31073 (49*2π)/64113 weeks
50-.24861 -.07422 (50*2π)/64113 weeks
51-.28206 -.05322 (51*2π)/64113 weeks
52-.00805 -.36212 (52*2π)/64112 weeks
53.26243 -.10319 (53*2π)/64112 weeks
54.11079 .35912 (54*2π)/64112 weeks
55-.34433 -.01508 (55*2π)/64112 weeks
56.12026 -.3535 (56*2π)/64111 weeks
57-.04757 .17395 (57*2π)/64111 weeks
58-.03405 .00022 (58*2π)/64111 weeks
59-.25794 .05042 (59*2π)/64111 weeks
60.16264 -.27727 (60*2π)/64111 weeks
61.0946 -.08068 (61*2π)/64111 weeks
62.0109 .07661 (62*2π)/64110 weeks
63-.02846 .0429 (63*2π)/64110 weeks
64.11694 -.13479 (64*2π)/64110 weeks
65-.02492 .0205 (65*2π)/64110 weeks
66-.10998 .17348 (66*2π)/64110 weeks
67-.00801 .01799 (67*2π)/64110 weeks
68-.24569 .11228 (68*2π)/6419 weeks
69.13252 -.11157 (69*2π)/6419 weeks
70-.08242 .01528 (70*2π)/6419 weeks
71.21619 -.04932 (71*2π)/6419 weeks
72.14743 .09629 (72*2π)/6419 weeks
73-.37066 -.12371 (73*2π)/6419 weeks
74-.05571 .08608 (74*2π)/6419 weeks
75.132 -.30126 (75*2π)/6419 weeks
76.09871 -.04834 (76*2π)/6418 weeks
77-.14136 -.22995 (77*2π)/6418 weeks
78-.17489 .05152 (78*2π)/6418 weeks
79-.06264 .02775 (79*2π)/6418 weeks
80-.08172 -.09887 (80*2π)/6418 weeks
81-.06314 -.15785 (81*2π)/6418 weeks
82.11413 -.0372 (82*2π)/6418 weeks
83-.20581 -.06499 (83*2π)/6418 weeks
84.01378 -.17699 (84*2π)/6418 weeks
85.12376 .02448 (85*2π)/6418 weeks
86-.03959 -.05033 (86*2π)/6417 weeks
87-.13153 -.08139 (87*2π)/6417 weeks
88-.10423 -.20248 (88*2π)/6417 weeks
89-.0289 -.11414 (89*2π)/6417 weeks
90.24577 .00069 (90*2π)/6417 weeks
91-.15986 .09724 (91*2π)/6417 weeks
92-.1116 -.2116 (92*2π)/6417 weeks
93.03133 -.05147 (93*2π)/6417 weeks
94.09408 .01933 (94*2π)/6417 weeks
95-.1035 .034 (95*2π)/6417 weeks
96-.03422 -.19571 (96*2π)/6417 weeks
97.07557 .18881 (97*2π)/6417 weeks
98.05931 -.15111 (98*2π)/6417 weeks
99-.1105 .02828 (99*2π)/6416 weeks
100-.09032 -.22478 (100*2π)/6416 weeks
101-.05287 -.02614 (101*2π)/6416 weeks
102.11401 .2048 (102*2π)/6416 weeks
103-.06062 .00591 (103*2π)/6416 weeks
104-.17155 -.06035 (104*2π)/6416 weeks
105.13452 -.13827 (105*2π)/6416 weeks
106.16591 .18682 (106*2π)/6416 weeks
107-.13254 -.06823 (107*2π)/6416 weeks
108-.03125 -.11495 (108*2π)/6416 weeks
109-.04615 -.03202 (109*2π)/6416 weeks
110.11738 .00131 (110*2π)/6416 weeks
111.06136 -.06744 (111*2π)/6416 weeks
112-.14264 -.09133 (112*2π)/6416 weeks
113-.04706 .00034 (113*2π)/6416 weeks
114-.02685 .03081 (114*2π)/6416 weeks
115.20503 -.05218 (115*2π)/6416 weeks
116-.12227 -.09715 (116*2π)/6416 weeks
117-.00398 -.0417 (117*2π)/6415 weeks
118-.04707 -.00651 (118*2π)/6415 weeks
119-.02761 -.03778 (119*2π)/6415 weeks
120-.11504 -.06628 (120*2π)/6415 weeks
121-.06024 .04677 (121*2π)/6415 weeks
122.03245 .01509 (122*2π)/6415 weeks
123-.03059 -.126 (123*2π)/6415 weeks
124-.08277 -.12337 (124*2π)/6415 weeks
125-.07665 -.0742 (125*2π)/6415 weeks
126-.07738 -.03079 (126*2π)/6415 weeks
127.00431 -.06973 (127*2π)/6415 weeks
128.11521 .10702 (128*2π)/6415 weeks
129-.15245 .02707 (129*2π)/6415 weeks
130-.02868 -.01024 (130*2π)/6415 weeks
131.13491 .0072 (131*2π)/6415 weeks
132.0241 -.06043 (132*2π)/6415 weeks
133.11314 .06286 (133*2π)/6415 weeks
134-.14005 -.02973 (134*2π)/6415 weeks
135.0037 -.01495 (135*2π)/6415 weeks
136.02138 -.0576 (136*2π)/6415 weeks
137-.06454 -.04827 (137*2π)/6415 weeks
138.05221 .03968 (138*2π)/6415 weeks
139.09312 .01894 (139*2π)/6415 weeks
140-.05076 -.01474 (140*2π)/6415 weeks
141-.00293 -.01036 (141*2π)/6415 weeks
142.01427 -.04854 (142*2π)/6415 weeks
143.02161 .03443 (143*2π)/6414 weeks
144.03243 -.01106 (144*2π)/6414 weeks
145-.07421 .02395 (145*2π)/6414 weeks
146.00414 -.10462 (146*2π)/6414 weeks
147.04242 .12008 (147*2π)/6414 weeks
148-.22481 .01574 (148*2π)/6414 weeks
149.08712 -.00541 (149*2π)/6414 weeks
150.02006 -.22846 (150*2π)/6414 weeks
151.11798 -.07444 (151*2π)/6414 weeks
152-.18547 -.0551 (152*2π)/6414 weeks
153-.07928 -.09867 (153*2π)/6414 weeks
154-.02407 -.02219 (154*2π)/6414 weeks
155.09444 -.02752 (155*2π)/6414 weeks
156.08612 -.03166 (156*2π)/6414 weeks
157.0022 .01288 (157*2π)/6414 weeks
158-.01533 .01601 (158*2π)/6414 weeks
159-.0271 -.02563 (159*2π)/6414 weeks
160.10773 .03509 (160*2π)/6414 weeks
161-.00405 .02831 (161*2π)/6414 weeks
162-.11175 -.07301 (162*2π)/6414 weeks
163-.0123 -.01353 (163*2π)/6414 weeks
164.09973 -.06535 (164*2π)/6414 weeks
165-.13149 .0981 (165*2π)/6414 weeks
166.00684 -.09761 (166*2π)/6414 weeks
167.04541 .08049 (167*2π)/6414 weeks
168-.00269 -.1368 (168*2π)/6414 weeks
169.01538 .01944 (169*2π)/6414 weeks
170-.09506 -.02196 (170*2π)/6414 weeks
171-.02238 -.01214 (171*2π)/6414 weeks
172-.12818 -.11231 (172*2π)/6414 weeks
173.00072 -.0105 (173*2π)/6414 weeks
174.00137 .00766 (174*2π)/6414 weeks
175.07683 .0674 (175*2π)/6414 weeks
176-.11552 -.13058 (176*2π)/6414 weeks
177.01332 -.12127 (177*2π)/6414 weeks
178.01197 .03547 (178*2π)/6414 weeks
179.00692 .03611 (179*2π)/6414 weeks
180.0651 -.0623 (180*2π)/6414 weeks
181-.07261 .01201 (181*2π)/6414 weeks
182-.0418 -.0023 (182*2π)/6414 weeks
183.09289 .10594 (183*2π)/6414 weeks
184-.1128 .0517 (184*2π)/6413 weeks
185.00486 -.19028 (185*2π)/6413 weeks
186.08277 .00823 (186*2π)/6413 weeks
187-.08386 -.04256 (187*2π)/6413 weeks
188.06486 .04477 (188*2π)/6413 weeks
189-.06422 -.02301 (189*2π)/6413 weeks
190-.05856 -.0166 (190*2π)/6413 weeks
191.06871 -.01443 (191*2π)/6413 weeks
192-.02104 .05179 (192*2π)/6413 weeks
193.03579 -.02889 (193*2π)/6413 weeks
194-.06975 -.03782 (194*2π)/6413 weeks
195.04055 -.01745 (195*2π)/6413 weeks
196-.01755 .0045 (196*2π)/6413 weeks
197-.02997 .08601 (197*2π)/6413 weeks
198-.05107 -.04223 (198*2π)/6413 weeks
199-.00186 -.06651 (199*2π)/6413 weeks
200.06025 -.00771 (200*2π)/6413 weeks
201-.08884 -.00958 (201*2π)/6413 weeks
202-.03473 .02171 (202*2π)/6413 weeks
203.04021 -.11285 (203*2π)/6413 weeks
204.0487 .00172 (204*2π)/6413 weeks
205.02144 .06789 (205*2π)/6413 weeks
206-.07192 .02481 (206*2π)/6413 weeks
207-.02513 -.0486 (207*2π)/6413 weeks
208.05487 -.02706 (208*2π)/6413 weeks
209-.02609 .02596 (209*2π)/6413 weeks
210-.05481 .04843 (210*2π)/6413 weeks
211-.00792 .06389 (211*2π)/6413 weeks
212.00075 .02325 (212*2π)/6413 weeks
213.01555 -.02787 (213*2π)/6413 weeks
214.03131 -.0237 (214*2π)/6413 weeks
215.00588 .01811 (215*2π)/6413 weeks
216-.02222 .02584 (216*2π)/6413 weeks
217.07733 -.02726 (217*2π)/6413 weeks
218-.0071 .01842 (218*2π)/6413 weeks
219-.02118 -.03989 (219*2π)/6413 weeks
220.05281 .03738 (220*2π)/6413 weeks
221-.11171 .03445 (221*2π)/6413 weeks
222.07579 -.00476 (222*2π)/6413 weeks
223-.10154 .002 (223*2π)/6413 weeks
224.04006 -.08711 (224*2π)/6413 weeks
225-.02444 .03787 (225*2π)/6413 weeks
226.02845 -.03088 (226*2π)/6413 weeks
227-.02039 .07796 (227*2π)/6413 weeks
228-.04734 .00497 (228*2π)/6413 weeks
229.03498 -.04711 (229*2π)/6413 weeks
230.06214 .0026 (230*2π)/6413 weeks
231-.02379 -.0228 (231*2π)/6413 weeks
232-.09469 -.05411 (232*2π)/6413 weeks
233-.0104 -.04371 (233*2π)/6413 weeks
234.02126 -.02098 (234*2π)/6413 weeks
235.05152 .06633 (235*2π)/6413 weeks
236-.02694 -.07445 (236*2π)/6413 weeks
237-.06203 -.01242 (237*2π)/6413 weeks
238.01269 -.06157 (238*2π)/6413 weeks
239.07045 .04996 (239*2π)/6413 weeks
240-.09163 -.02003 (240*2π)/6413 weeks
241.00422 -.05938 (241*2π)/6413 weeks
242.03043 -.02019 (242*2π)/6413 weeks
243.08672 .06666 (243*2π)/6413 weeks
244.03982 .0829 (244*2π)/6413 weeks
245-.03831 -.04455 (245*2π)/6413 weeks
246.01235 -.11484 (246*2π)/6413 weeks
247.02641 .02724 (247*2π)/6413 weeks
248.02188 .03821 (248*2π)/6413 weeks
249.00353 -.01355 (249*2π)/6413 weeks
250.0024 .09469 (250*2π)/6413 weeks
251-.11428 -.04457 (251*2π)/6413 weeks
252-.00909 -.02635 (252*2π)/6413 weeks
253-.00589 -.01566 (253*2π)/6413 weeks
254.00126 .00043 (254*2π)/6413 weeks
255-.03494 .04089 (255*2π)/6413 weeks
256-.03715 -.02237 (256*2π)/6413 weeks
257.01832 -.01184 (257*2π)/6412 weeks
258-.06186 .00635 (258*2π)/6412 weeks
259-.07529 -.01086 (259*2π)/6412 weeks
260-.02816 .00528 (260*2π)/6412 weeks
261.00397 -.02168 (261*2π)/6412 weeks
262-.07726 .0261 (262*2π)/6412 weeks
263-.10043 -.03794 (263*2π)/6412 weeks
264.03189 .08855 (264*2π)/6412 weeks
265-.04548 -.0077 (265*2π)/6412 weeks
266-.05047 .02657 (266*2π)/6412 weeks
267-.05678 -.11447 (267*2π)/6412 weeks
268.04852 .01481 (268*2π)/6412 weeks
269-.00008 .02013 (269*2π)/6412 weeks
270-.03188 -.03962 (270*2π)/6412 weeks
271-.0034 -.036 (271*2π)/6412 weeks
272-.00866 -.06769 (272*2π)/6412 weeks
273-.02128 .05637 (273*2π)/6412 weeks
274.02563 -.00809 (274*2π)/6412 weeks
275-.03149 .04403 (275*2π)/6412 weeks
276-.01743 .04248 (276*2π)/6412 weeks
277-.0956 -.08582 (277*2π)/6412 weeks
278.02562 .01282 (278*2π)/6412 weeks
279-.00157 .09745 (279*2π)/6412 weeks
280-.06815 .05384 (280*2π)/6412 weeks
281-.11034 -.02094 (281*2π)/6412 weeks
282-.04531 .00546 (282*2π)/6412 weeks
283.0423 -.01258 (283*2π)/6412 weeks
284.01683 .01576 (284*2π)/6412 weeks
285-.07675 -.04447 (285*2π)/6412 weeks
286.02255 -.0304 (286*2π)/6412 weeks
287.01308 .07159 (287*2π)/6412 weeks
288-.03763 .04695 (288*2π)/6412 weeks
289-.01769 -.13136 (289*2π)/6412 weeks
290.03523 .02687 (290*2π)/6412 weeks
291.04203 -.00677 (291*2π)/6412 weeks
292.00148 -.06093 (292*2π)/6412 weeks
293-.06567 .03114 (293*2π)/6412 weeks
294-.02081 .02381 (294*2π)/6412 weeks
295.10897 .03719 (295*2π)/6412 weeks
296-.0732 -.00158 (296*2π)/6412 weeks
297.12135 -.00019 (297*2π)/6412 weeks
298-.07054 .0846 (298*2π)/6412 weeks
299.03326 -.03362 (299*2π)/6412 weeks
300-.00315 .08214 (300*2π)/6412 weeks
301-.08059 -.0566 (301*2π)/6412 weeks
302.04181 .07579 (302*2π)/6412 weeks
303-.03133 -.00729 (303*2π)/6412 weeks
304.00848 -.00388 (304*2π)/6412 weeks
305-.05464 .01379 (305*2π)/6412 weeks
306-.04521 .01088 (306*2π)/6412 weeks
307-.01791 .03462 (307*2π)/6412 weeks
308.02898 .07778 (308*2π)/6412 weeks
309-.00251 .04336 (309*2π)/6412 weeks
310-.02259 .01133 (310*2π)/6412 weeks
311-.07713 -.04813 (311*2π)/6412 weeks
312.12141 -.02966 (312*2π)/6412 weeks
313-.02928 .02247 (313*2π)/6412 weeks
314-.04164 .0301 (314*2π)/6412 weeks
315-.05982 .05726 (315*2π)/6412 weeks
316.04045 -.06655 (316*2π)/6412 weeks
317.01786 -.04267 (317*2π)/6412 weeks
318-.03038 -.01769 (318*2π)/6412 weeks
319-.10591 .02831 (319*2π)/6412 weeks
320-.04483 .08179 (320*2π)/6412 weeks
321-.04483 -.08179 (321*2π)/6412 weeks
322-.10591 -.02831 (322*2π)/6412 weeks
323-.03038 .01769 (323*2π)/6412 weeks
324.01786 .04267 (324*2π)/6412 weeks
325.04045 .06655 (325*2π)/6412 weeks
326-.05982 -.05726 (326*2π)/6412 weeks
327-.04164 -.0301 (327*2π)/6412 weeks
328-.02928 -.02247 (328*2π)/6412 weeks
329.12141 .02966 (329*2π)/6412 weeks
330-.07713 .04813 (330*2π)/6412 weeks
331-.02259 -.01133 (331*2π)/6412 weeks
332-.00251 -.04336 (332*2π)/6412 weeks
333.02898 -.07778 (333*2π)/6412 weeks
334-.01791 -.03462 (334*2π)/6412 weeks
335-.04521 -.01088 (335*2π)/6412 weeks
336-.05464 -.01379 (336*2π)/6412 weeks
337.00848 .00388 (337*2π)/6412 weeks
338-.03133 .00729 (338*2π)/6412 weeks
339.04181 -.07579 (339*2π)/6412 weeks
340-.08059 .0566 (340*2π)/6412 weeks
341-.00315 -.08214 (341*2π)/6412 weeks
342.03326 .03362 (342*2π)/6412 weeks
343-.07054 -.0846 (343*2π)/6412 weeks
344.12135 .00019 (344*2π)/6412 weeks
345-.0732 .00158 (345*2π)/6412 weeks
346.10897 -.03719 (346*2π)/6412 weeks
347-.02081 -.02381 (347*2π)/6412 weeks
348-.06567 -.03114 (348*2π)/6412 weeks
349.00148 .06093 (349*2π)/6412 weeks
350.04203 .00677 (350*2π)/6412 weeks
351.03523 -.02687 (351*2π)/6412 weeks
352-.01769 .13136 (352*2π)/6412 weeks
353-.03763 -.04695 (353*2π)/6412 weeks
354.01308 -.07159 (354*2π)/6412 weeks
355.02255 .0304 (355*2π)/6412 weeks
356-.07675 .04447 (356*2π)/6412 weeks
357.01683 -.01576 (357*2π)/6412 weeks
358.0423 .01258 (358*2π)/6412 weeks
359-.04531 -.00546 (359*2π)/6412 weeks
360-.11034 .02094 (360*2π)/6412 weeks
361-.06815 -.05384 (361*2π)/6412 weeks
362-.00157 -.09745 (362*2π)/6412 weeks
363.02562 -.01282 (363*2π)/6412 weeks
364-.0956 .08582 (364*2π)/6412 weeks
365-.01743 -.04248 (365*2π)/6412 weeks
366-.03149 -.04403 (366*2π)/6412 weeks
367.02563 .00809 (367*2π)/6412 weeks
368-.02128 -.05637 (368*2π)/6412 weeks
369-.00866 .06769 (369*2π)/6412 weeks
370-.0034 .036 (370*2π)/6412 weeks
371-.03188 .03962 (371*2π)/6412 weeks
372-.00008 -.02013 (372*2π)/6412 weeks
373.04852 -.01481 (373*2π)/6412 weeks
374-.05678 .11447 (374*2π)/6412 weeks
375-.05047 -.02657 (375*2π)/6412 weeks
376-.04548 .0077 (376*2π)/6412 weeks
377.03189 -.08855 (377*2π)/6412 weeks
378-.10043 .03794 (378*2π)/6412 weeks
379-.07726 -.0261 (379*2π)/6412 weeks
380.00397 .02168 (380*2π)/6412 weeks
381-.02816 -.00528 (381*2π)/6412 weeks
382-.07529 .01086 (382*2π)/6412 weeks
383-.06186 -.00635 (383*2π)/6412 weeks
384.01832 .01184 (384*2π)/6412 weeks
385-.03715 .02237 (385*2π)/6412 weeks
386-.03494 -.04089 (386*2π)/6412 weeks
387.00126 -.00043 (387*2π)/6412 weeks
388-.00589 .01566 (388*2π)/6412 weeks
389-.00909 .02635 (389*2π)/6412 weeks
390-.11428 .04457 (390*2π)/6412 weeks
391.0024 -.09469 (391*2π)/6412 weeks
392.00353 .01355 (392*2π)/6412 weeks
393.02188 -.03821 (393*2π)/6412 weeks
394.02641 -.02724 (394*2π)/6412 weeks
395.01235 .11484 (395*2π)/6412 weeks
396-.03831 .04455 (396*2π)/6412 weeks
397.03982 -.0829 (397*2π)/6412 weeks
398.08672 -.06666 (398*2π)/6412 weeks
399.03043 .02019 (399*2π)/6412 weeks
400.00422 .05938 (400*2π)/6412 weeks
401-.09163 .02003 (401*2π)/6412 weeks
402.07045 -.04996 (402*2π)/6412 weeks
403.01269 .06157 (403*2π)/6412 weeks
404-.06203 .01242 (404*2π)/6412 weeks
405-.02694 .07445 (405*2π)/6412 weeks
406.05152 -.06633 (406*2π)/6412 weeks
407.02126 .02098 (407*2π)/6412 weeks
408-.0104 .04371 (408*2π)/6412 weeks
409-.09469 .05411 (409*2π)/6412 weeks
410-.02379 .0228 (410*2π)/6412 weeks
411.06214 -.0026 (411*2π)/6412 weeks
412.03498 .04711 (412*2π)/6412 weeks
413-.04734 -.00497 (413*2π)/6412 weeks
414-.02039 -.07796 (414*2π)/6412 weeks
415.02845 .03088 (415*2π)/6412 weeks
416-.02444 -.03787 (416*2π)/6412 weeks
417.04006 .08711 (417*2π)/6412 weeks
418-.10154 -.002 (418*2π)/6412 weeks
419.07579 .00476 (419*2π)/6412 weeks
420-.11171 -.03445 (420*2π)/6412 weeks
421.05281 -.03738 (421*2π)/6412 weeks
422-.02118 .03989 (422*2π)/6412 weeks
423-.0071 -.01842 (423*2π)/6412 weeks
424.07733 .02726 (424*2π)/6412 weeks
425-.02222 -.02584 (425*2π)/6412 weeks
426.00588 -.01811 (426*2π)/6412 weeks
427.03131 .0237 (427*2π)/6412 weeks
428.01555 .02787 (428*2π)/6411 weeks
429.00075 -.02325 (429*2π)/6411 weeks
430-.00792 -.06389 (430*2π)/6411 weeks
431-.05481 -.04843 (431*2π)/6411 weeks
432-.02609 -.02596 (432*2π)/6411 weeks
433.05487 .02706 (433*2π)/6411 weeks
434-.02513 .0486 (434*2π)/6411 weeks
435-.07192 -.02481 (435*2π)/6411 weeks
436.02144 -.06789 (436*2π)/6411 weeks
437.0487 -.00172 (437*2π)/6411 weeks
438.04021 .11285 (438*2π)/6411 weeks
439-.03473 -.02171 (439*2π)/6411 weeks
440-.08884 .00958 (440*2π)/6411 weeks
441.06025 .00771 (441*2π)/6411 weeks
442-.00186 .06651 (442*2π)/6411 weeks
443-.05107 .04223 (443*2π)/6411 weeks
444-.02997 -.08601 (444*2π)/6411 weeks
445-.01755 -.0045 (445*2π)/6411 weeks
446.04055 .01745 (446*2π)/6411 weeks
447-.06975 .03782 (447*2π)/6411 weeks
448.03579 .02889 (448*2π)/6411 weeks
449-.02104 -.05179 (449*2π)/6411 weeks
450.06871 .01443 (450*2π)/6411 weeks
451-.05856 .0166 (451*2π)/6411 weeks
452-.06422 .02301 (452*2π)/6411 weeks
453.06486 -.04477 (453*2π)/6411 weeks
454-.08386 .04256 (454*2π)/6411 weeks
455.08277 -.00823 (455*2π)/6411 weeks
456.00486 .19028 (456*2π)/6411 weeks
457-.1128 -.0517 (457*2π)/6411 weeks
458.09289 -.10594 (458*2π)/6411 weeks
459-.0418 .0023 (459*2π)/6411 weeks
460-.07261 -.01201 (460*2π)/6411 weeks
461.0651 .0623 (461*2π)/6411 weeks
462.00692 -.03611 (462*2π)/6411 weeks
463.01197 -.03547 (463*2π)/6411 weeks
464.01332 .12127 (464*2π)/6411 weeks
465-.11552 .13058 (465*2π)/6411 weeks
466.07683 -.0674 (466*2π)/6411 weeks
467.00137 -.00766 (467*2π)/6411 weeks
468.00072 .0105 (468*2π)/6411 weeks
469-.12818 .11231 (469*2π)/6411 weeks
470-.02238 .01214 (470*2π)/6411 weeks
471-.09506 .02196 (471*2π)/6411 weeks
472.01538 -.01944 (472*2π)/6411 weeks
473-.00269 .1368 (473*2π)/6411 weeks
474.04541 -.08049 (474*2π)/6411 weeks
475.00684 .09761 (475*2π)/6411 weeks
476-.13149 -.0981 (476*2π)/6411 weeks
477.09973 .06535 (477*2π)/6411 weeks
478-.0123 .01353 (478*2π)/6411 weeks
479-.11175 .07301 (479*2π)/6411 weeks
480-.00405 -.02831 (480*2π)/6411 weeks
481.10773 -.03509 (481*2π)/6411 weeks
482-.0271 .02563 (482*2π)/6411 weeks
483-.01533 -.01601 (483*2π)/6411 weeks
484.0022 -.01288 (484*2π)/6411 weeks
485.08612 .03166 (485*2π)/6411 weeks
486.09444 .02752 (486*2π)/6411 weeks
487-.02407 .02219 (487*2π)/6411 weeks
488-.07928 .09867 (488*2π)/6411 weeks
489-.18547 .0551 (489*2π)/6411 weeks
490.11798 .07444 (490*2π)/6411 weeks
491.02006 .22846 (491*2π)/6411 weeks
492.08712 .00541 (492*2π)/6411 weeks
493-.22481 -.01574 (493*2π)/6411 weeks
494.04242 -.12008 (494*2π)/6411 weeks
495.00414 .10462 (495*2π)/6411 weeks
496-.07421 -.02395 (496*2π)/6411 weeks
497.03243 .01106 (497*2π)/6411 weeks
498.02161 -.03443 (498*2π)/6411 weeks
499.01427 .04854 (499*2π)/6411 weeks
500-.00293 .01036 (500*2π)/6411 weeks
501-.05076 .01474 (501*2π)/6411 weeks
502.09312 -.01894 (502*2π)/6411 weeks
503.05221 -.03968 (503*2π)/6411 weeks
504-.06454 .04827 (504*2π)/6411 weeks
505.02138 .0576 (505*2π)/6411 weeks
506.0037 .01495 (506*2π)/6411 weeks
507-.14005 .02973 (507*2π)/6411 weeks
508.11314 -.06286 (508*2π)/6411 weeks
509.0241 .06043 (509*2π)/6411 weeks
510.13491 -.0072 (510*2π)/6411 weeks
511-.02868 .01024 (511*2π)/6411 weeks
512-.15245 -.02707 (512*2π)/6411 weeks
513.11521 -.10702 (513*2π)/6411 weeks
514.00431 .06973 (514*2π)/6411 weeks
515-.07738 .03079 (515*2π)/6411 weeks
516-.07665 .0742 (516*2π)/6411 weeks
517-.08277 .12337 (517*2π)/6411 weeks
518-.03059 .126 (518*2π)/6411 weeks
519.03245 -.01509 (519*2π)/6411 weeks
520-.06024 -.04677 (520*2π)/6411 weeks
521-.11504 .06628 (521*2π)/6411 weeks
522-.02761 .03778 (522*2π)/6411 weeks
523-.04707 .00651 (523*2π)/6411 weeks
524-.00398 .0417 (524*2π)/6411 weeks
525-.12227 .09715 (525*2π)/6411 weeks
526.20503 .05218 (526*2π)/6411 weeks
527-.02685 -.03081 (527*2π)/6411 weeks
528-.04706 -.00034 (528*2π)/6411 weeks
529-.14264 .09133 (529*2π)/6411 weeks
530.06136 .06744 (530*2π)/6411 weeks
531.11738 -.00131 (531*2π)/6411 weeks
532-.04615 .03202 (532*2π)/6411 weeks
533-.03125 .11495 (533*2π)/6411 weeks
534-.13254 .06823 (534*2π)/6411 weeks
535.16591 -.18682 (535*2π)/6411 weeks
536.13452 .13827 (536*2π)/6411 weeks
537-.17155 .06035 (537*2π)/6411 weeks
538-.06062 -.00591 (538*2π)/6411 weeks
539.11401 -.2048 (539*2π)/6411 weeks
540-.05287 .02614 (540*2π)/6411 weeks
541-.09032 .22478 (541*2π)/6411 weeks
542-.1105 -.02828 (542*2π)/6411 weeks
543.05931 .15111 (543*2π)/6411 weeks
544.07557 -.18881 (544*2π)/6411 weeks
545-.03422 .19571 (545*2π)/6411 weeks
546-.1035 -.034 (546*2π)/6411 weeks
547.09408 -.01933 (547*2π)/6411 weeks
548.03133 .05147 (548*2π)/6411 weeks
549-.1116 .2116 (549*2π)/6411 weeks
550-.15986 -.09724 (550*2π)/6411 weeks
551.24577 -.00069 (551*2π)/6411 weeks
552-.0289 .11414 (552*2π)/6411 weeks
553-.10423 .20248 (553*2π)/6411 weeks
554-.13153 .08139 (554*2π)/6411 weeks
555-.03959 .05033 (555*2π)/6411 weeks
556.12376 -.02448 (556*2π)/6411 weeks
557.01378 .17699 (557*2π)/6411 weeks
558-.20581 .06499 (558*2π)/6411 weeks
559.11413 .0372 (559*2π)/6411 weeks
560-.06314 .15785 (560*2π)/6411 weeks
561-.08172 .09887 (561*2π)/6411 weeks
562-.06264 -.02775 (562*2π)/6411 weeks
563-.17489 -.05152 (563*2π)/6411 weeks
564-.14136 .22995 (564*2π)/6411 weeks
565.09871 .04834 (565*2π)/6411 weeks
566.132 .30126 (566*2π)/6411 weeks
567-.05571 -.08608 (567*2π)/6411 weeks
568-.37066 .12371 (568*2π)/6411 weeks
569.14743 -.09629 (569*2π)/6411 weeks
570.21619 .04932 (570*2π)/6411 weeks
571-.08242 -.01528 (571*2π)/6411 weeks
572.13252 .11157 (572*2π)/6411 weeks
573-.24569 -.11228 (573*2π)/6411 weeks
574-.00801 -.01799 (574*2π)/6411 weeks
575-.10998 -.17348 (575*2π)/6411 weeks
576-.02492 -.0205 (576*2π)/6411 weeks
577.11694 .13479 (577*2π)/6411 weeks
578-.02846 -.0429 (578*2π)/6411 weeks
579.0109 -.07661 (579*2π)/6411 weeks
580.0946 .08068 (580*2π)/6411 weeks
581.16264 .27727 (581*2π)/6411 weeks
582-.25794 -.05042 (582*2π)/6411 weeks
583-.03405 -.00022 (583*2π)/6411 weeks
584-.04757 -.17395 (584*2π)/6411 weeks
585.12026 .3535 (585*2π)/6411 weeks
586-.34433 .01508 (586*2π)/6411 weeks
587.11079 -.35912 (587*2π)/6411 weeks
588.26243 .10319 (588*2π)/6411 weeks
589-.00805 .36212 (589*2π)/6411 weeks
590-.28206 .05322 (590*2π)/6411 weeks
591-.24861 .07422 (591*2π)/6411 weeks
592-.03453 -.31073 (592*2π)/6411 weeks
593.42816 .3606 (593*2π)/6411 weeks
594-.52336 .39155 (594*2π)/6411 weeks
595-.17736 -.30439 (595*2π)/6411 weeks
596.02605 .42869 (596*2π)/6411 weeks
597-.05813 -.06766 (597*2π)/6411 weeks
598.09913 .19378 (598*2π)/6411 weeks
599-.38564 -.16533 (599*2π)/6411 weeks
600-.25215 -.12572 (600*2π)/6411 weeks
601.38031 -.16531 (601*2π)/6411 weeks
602-.2524 .09876 (602*2π)/6411 weeks
603.13923 -.47944 (603*2π)/6411 weeks
604.12681 .07366 (604*2π)/6411 weeks
605-.20596 .26191 (605*2π)/6411 weeks
606-.07754 .35801 (606*2π)/6411 weeks
607-.26326 .18328 (607*2π)/6411 weeks
608.29134 -.48969 (608*2π)/6411 weeks
609-.04609 .17884 (609*2π)/6411 weeks
610.1194 .63719 (610*2π)/6411 weeks
611-.52861 -.00251 (611*2π)/6411 weeks
612-.08635 -.53421 (612*2π)/6411 weeks
613.15323 -.01749 (613*2π)/6411 weeks
614-.16083 .88618 (614*2π)/6411 weeks
615.11127 -.13931 (615*2π)/6411 weeks
616.43901 .58705 (616*2π)/6411 weeks
617-.0509 .07318 (617*2π)/6411 weeks
618.4391 .65607 (618*2π)/6411 weeks
619-.34768 .23887 (619*2π)/6411 weeks
620-.07951 -.2032 (620*2π)/6411 weeks
621.29412 .45194 (621*2π)/6411 weeks
622.41233 .75129 (622*2π)/6411 weeks
623.56122 .2162 (623*2π)/6411 weeks
624-.77596 .69326 (624*2π)/6411 weeks
625.00571 -.84587 (625*2π)/6411 weeks
626.43544 .93625 (626*2π)/6411 weeks
627.33022 .18828 (627*2π)/6411 weeks
628-.34458 -.10159 (628*2π)/6411 weeks
629-.98198 .13195 (629*2π)/6411 weeks
630-.9535 -.51813 (630*2π)/6411 weeks
6311.2118 .2265 (631*2π)/6411 weeks
632.65278 2.1185 (632*2π)/6411 weeks
633-3.8617 1.6398 (633*2π)/6411 weeks
6341.21658 -1.56757 (634*2π)/6411 weeks
6353.2 .86059 (635*2π)/6411 weeks
636.02048 -1.2006 (636*2π)/6411 weeks
637-.70542 4.59013 (637*2π)/6411 weeks
638.60271 .74749 (638*2π)/6411 weeks
639-3.51821 -5.523 (639*2π)/6411 weeks