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Fourier Analysis of USD (ProShares Ultra Semiconductors)


USD (ProShares Ultra Semiconductors) appears to have interesting cyclic behaviour every 44 weeks (2.307*sine), 48 weeks (1.9827*sine), and 48 weeks (1.4184*cosine).

USD (ProShares Ultra Semiconductors) has an average price of 27.25 (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 2/1/2007 to 3/20/2017 for USD (ProShares Ultra Semiconductors), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
027.25033   0 
113.04381 -11.09049 (1*2π)/530530 weeks
24.86854 -5.68868 (2*2π)/530265 weeks
33.44694 2.54142 (3*2π)/530177 weeks
43.22414 -.00841 (4*2π)/530133 weeks
51.24563 -2.55329 (5*2π)/530106 weeks
6.08466 -3.66158 (6*2π)/53088 weeks
7.10398 -2.87853 (7*2π)/53076 weeks
8.60389 -.64962 (8*2π)/53066 weeks
9-1.0221 -1.63736 (9*2π)/53059 weeks
10-.16209 -1.15246 (10*2π)/53053 weeks
11-1.41836 -1.98268 (11*2π)/53048 weeks
12-.41685 -2.30697 (12*2π)/53044 weeks
13-.0188 -1.20731 (13*2π)/53041 weeks
14.38983 -.82209 (14*2π)/53038 weeks
15.88708 -.62349 (15*2π)/53035 weeks
16.76657 -.8492 (16*2π)/53033 weeks
17-.31214 -.81228 (17*2π)/53031 weeks
18-.16627 -1.15455 (18*2π)/53029 weeks
19-.33243 -.9936 (19*2π)/53028 weeks
20-.42866 -.84496 (20*2π)/53027 weeks
21-.21345 -.47716 (21*2π)/53025 weeks
22.50876 -.57268 (22*2π)/53024 weeks
23.31632 -1.56496 (23*2π)/53023 weeks
24.08612 -1.31864 (24*2π)/53022 weeks
25-.63202 -1.03598 (25*2π)/53021 weeks
26-.19677 .10524 (26*2π)/53020 weeks
27-.21053 -.28976 (27*2π)/53020 weeks
28-.10726 -.10614 (28*2π)/53019 weeks
29-.20322 -.16135 (29*2π)/53018 weeks
30.13053 -.55899 (30*2π)/53018 weeks
31.22189 -.76547 (31*2π)/53017 weeks
32.38582 -.66025 (32*2π)/53017 weeks
33-.0556 -.15372 (33*2π)/53016 weeks
34-.18425 -.34171 (34*2π)/53016 weeks
35-.01267 -.31208 (35*2π)/53015 weeks
36-.1871 -.38864 (36*2π)/53015 weeks
37-.24244 -.41529 (37*2π)/53014 weeks
38.11325 -.32199 (38*2π)/53014 weeks
39.29863 .04402 (39*2π)/53014 weeks
40.21802 -.622 (40*2π)/53013 weeks
41-.04308 -.68694 (41*2π)/53013 weeks
42-.53408 -.52269 (42*2π)/53013 weeks
43-.07354 -.24982 (43*2π)/53012 weeks
44.04065 -.51946 (44*2π)/53012 weeks
45.16434 -.79514 (45*2π)/53012 weeks
46-.08262 -.11049 (46*2π)/53012 weeks
47.22587 -.05621 (47*2π)/53011 weeks
48.28216 -.02592 (48*2π)/53011 weeks
49.00194 -.22265 (49*2π)/53011 weeks
50-.0346 -.26986 (50*2π)/53011 weeks
51-.14501 -.17644 (51*2π)/53010 weeks
52-.19706 -.40583 (52*2π)/53010 weeks
53-.20662 -.19233 (53*2π)/53010 weeks
54-.5449 -.11187 (54*2π)/53010 weeks
55-.06998 -.06372 (55*2π)/53010 weeks
56-.15307 -.23859 (56*2π)/5309 weeks
57-.05468 -.23004 (57*2π)/5309 weeks
58-.14008 -.13411 (58*2π)/5309 weeks
59-.04439 -.1167 (59*2π)/5309 weeks
60.10129 -.07312 (60*2π)/5309 weeks
61-.09286 -.09487 (61*2π)/5309 weeks
62-.09973 -.02086 (62*2π)/5309 weeks
63-.02682 -.21557 (63*2π)/5308 weeks
64-.00052 -.44718 (64*2π)/5308 weeks
65-.2362 -.44344 (65*2π)/5308 weeks
66-.07102 -.50739 (66*2π)/5308 weeks
67-.17414 -.2868 (67*2π)/5308 weeks
68-.12765 -.35276 (68*2π)/5308 weeks
69-.05457 -.3721 (69*2π)/5308 weeks
70-.07894 -.15537 (70*2π)/5308 weeks
71-.08158 .02561 (71*2π)/5307 weeks
72-.03792 -.16348 (72*2π)/5307 weeks
73.06894 -.25125 (73*2π)/5307 weeks
74-.26229 -.12838 (74*2π)/5307 weeks
75-.15744 -.18206 (75*2π)/5307 weeks
76-.1556 -.04022 (76*2π)/5307 weeks
77-.13832 -.21873 (77*2π)/5307 weeks
78-.09993 -.22029 (78*2π)/5307 weeks
79.00654 -.37049 (79*2π)/5307 weeks
80-.1101 -.14875 (80*2π)/5307 weeks
81-.0483 -.19607 (81*2π)/5307 weeks
82-.12082 -.00566 (82*2π)/5306 weeks
83-.04002 -.01523 (83*2π)/5306 weeks
84-.16398 -.09618 (84*2π)/5306 weeks
85.01645 -.20696 (85*2π)/5306 weeks
86.05275 -.2348 (86*2π)/5306 weeks
87.02383 -.25534 (87*2π)/5306 weeks
88-.07386 -.27867 (88*2π)/5306 weeks
89-.1915 -.32234 (89*2π)/5306 weeks
90-.10205 -.32279 (90*2π)/5306 weeks
91-.10021 -.12031 (91*2π)/5306 weeks
92-.06733 -.19809 (92*2π)/5306 weeks
93-.15617 -.08395 (93*2π)/5306 weeks
94-.16195 -.08229 (94*2π)/5306 weeks
95-.24664 .0878 (95*2π)/5306 weeks
96-.23849 .0881 (96*2π)/5306 weeks
97-.05317 -.05609 (97*2π)/5305 weeks
98-.04994 -.17102 (98*2π)/5305 weeks
99-.2003 -.15108 (99*2π)/5305 weeks
100-.19997 -.08637 (100*2π)/5305 weeks
101-.12298 -.06003 (101*2π)/5305 weeks
102-.29762 -.22839 (102*2π)/5305 weeks
103-.20555 -.02328 (103*2π)/5305 weeks
104-.03417 .04236 (104*2π)/5305 weeks
105.18114 -.07818 (105*2π)/5305 weeks
106.03172 -.17245 (106*2π)/5305 weeks
107-.24217 -.20728 (107*2π)/5305 weeks
108-.18451 -.08091 (108*2π)/5305 weeks
109-.12277 -.1012 (109*2π)/5305 weeks
110-.01998 -.25599 (110*2π)/5305 weeks
111.01771 -.02948 (111*2π)/5305 weeks
112-.0371 .00729 (112*2π)/5305 weeks
113.02922 -.05555 (113*2π)/5305 weeks
114-.00307 -.12705 (114*2π)/5305 weeks
115-.11006 -.14806 (115*2π)/5305 weeks
116-.15771 -.16716 (116*2π)/5305 weeks
117-.03097 -.10726 (117*2π)/5305 weeks
118-.11891 -.13354 (118*2π)/5304 weeks
119-.21698 -.11326 (119*2π)/5304 weeks
120-.02115 -.00792 (120*2π)/5304 weeks
121.00905 -.09922 (121*2π)/5304 weeks
122-.0271 -.21535 (122*2π)/5304 weeks
123-.11116 -.28933 (123*2π)/5304 weeks
124-.16523 -.16235 (124*2π)/5304 weeks
125-.1447 -.07961 (125*2π)/5304 weeks
126-.18077 -.15565 (126*2π)/5304 weeks
127-.20881 -.08507 (127*2π)/5304 weeks
128-.30103 -.01359 (128*2π)/5304 weeks
129-.19641 -.06235 (129*2π)/5304 weeks
130-.0684 -.09598 (130*2π)/5304 weeks
131-.10751 -.29108 (131*2π)/5304 weeks
132-.10301 -.2052 (132*2π)/5304 weeks
133-.23619 -.05659 (133*2π)/5304 weeks
134-.12378 -.0627 (134*2π)/5304 weeks
135-.091 -.01992 (135*2π)/5304 weeks
136-.05019 -.02254 (136*2π)/5304 weeks
137-.11236 .08726 (137*2π)/5304 weeks
138.01667 -.0771 (138*2π)/5304 weeks
139.07444 -.11195 (139*2π)/5304 weeks
140-.04565 -.17133 (140*2π)/5304 weeks
141-.11677 -.0961 (141*2π)/5304 weeks
142-.13486 -.05743 (142*2π)/5304 weeks
143-.02152 -.00997 (143*2π)/5304 weeks
144-.06944 -.11633 (144*2π)/5304 weeks
145-.01412 -.09231 (145*2π)/5304 weeks
146-.13049 -.08667 (146*2π)/5304 weeks
147-.00724 -.06022 (147*2π)/5304 weeks
148-.11876 -.01661 (148*2π)/5304 weeks
149-.06379 -.10872 (149*2π)/5304 weeks
150-.156 -.14888 (150*2π)/5304 weeks
151-.21167 -.14565 (151*2π)/5304 weeks
152-.17191 -.03266 (152*2π)/5303 weeks
153-.12063 -.12932 (153*2π)/5303 weeks
154.01926 -.0865 (154*2π)/5303 weeks
155-.04438 -.1334 (155*2π)/5303 weeks
156-.08928 -.18706 (156*2π)/5303 weeks
157-.13361 -.13005 (157*2π)/5303 weeks
158-.1562 -.02677 (158*2π)/5303 weeks
159-.07362 -.0845 (159*2π)/5303 weeks
160-.10731 -.01432 (160*2π)/5303 weeks
161-.04553 -.01705 (161*2π)/5303 weeks
162-.03069 .04704 (162*2π)/5303 weeks
163-.13512 .01712 (163*2π)/5303 weeks
164-.15264 .03202 (164*2π)/5303 weeks
165-.06224 .04432 (165*2π)/5303 weeks
166-.05032 -.00437 (166*2π)/5303 weeks
167-.05537 -.10123 (167*2π)/5303 weeks
168-.08044 -.0419 (168*2π)/5303 weeks
169-.14521 .03867 (169*2π)/5303 weeks
170-.07437 .00893 (170*2π)/5303 weeks
171-.02031 -.06132 (171*2π)/5303 weeks
172-.0281 -.17738 (172*2π)/5303 weeks
173-.06962 -.12508 (173*2π)/5303 weeks
174-.03512 -.03933 (174*2π)/5303 weeks
175-.00311 -.01063 (175*2π)/5303 weeks
176-.09528 -.08295 (176*2π)/5303 weeks
177-.14402 -.06619 (177*2π)/5303 weeks
178-.11963 -.07063 (178*2π)/5303 weeks
179-.12844 -.08758 (179*2π)/5303 weeks
180.00915 -.08607 (180*2π)/5303 weeks
181-.04013 -.07749 (181*2π)/5303 weeks
182-.00472 -.06465 (182*2π)/5303 weeks
183-.06254 .01088 (183*2π)/5303 weeks
184-.06234 -.00188 (184*2π)/5303 weeks
185-.06886 .03704 (185*2π)/5303 weeks
186-.04636 -.06238 (186*2π)/5303 weeks
187-.07632 -.017 (187*2π)/5303 weeks
188-.1695 -.09792 (188*2π)/5303 weeks
189-.03476 -.07479 (189*2π)/5303 weeks
190-.03402 -.0482 (190*2π)/5303 weeks
191.04623 -.00479 (191*2π)/5303 weeks
192-.00045 -.03598 (192*2π)/5303 weeks
193.04773 -.11181 (193*2π)/5303 weeks
194-.09822 .00754 (194*2π)/5303 weeks
195-.01526 -.07479 (195*2π)/5303 weeks
196-.0571 -.00857 (196*2π)/5303 weeks
197-.05448 -.09959 (197*2π)/5303 weeks
198-.12126 -.00854 (198*2π)/5303 weeks
199-.14741 .00878 (199*2π)/5303 weeks
200-.08981 -.06065 (200*2π)/5303 weeks
201-.12455 -.08311 (201*2π)/5303 weeks
202-.08367 -.02063 (202*2π)/5303 weeks
203-.12967 -.02376 (203*2π)/5303 weeks
204-.03923 -.01031 (204*2π)/5303 weeks
205-.03015 -.02152 (205*2π)/5303 weeks
206-.03002 -.11871 (206*2π)/5303 weeks
207-.1142 -.03401 (207*2π)/5303 weeks
208-.11576 .01961 (208*2π)/5303 weeks
209-.13371 .06967 (209*2π)/5303 weeks
210-.09139 -.04218 (210*2π)/5303 weeks
211-.01931 -.14387 (211*2π)/5303 weeks
212-.14213 -.12876 (212*2π)/5303 weeks
213-.16644 -.13001 (213*2π)/5302 weeks
214-.0475 -.02556 (214*2π)/5302 weeks
215-.05368 -.05774 (215*2π)/5302 weeks
216-.02998 -.05712 (216*2π)/5302 weeks
217-.06281 .02954 (217*2π)/5302 weeks
218-.06748 -.08935 (218*2π)/5302 weeks
219-.13482 -.0334 (219*2π)/5302 weeks
220-.1479 -.04199 (220*2π)/5302 weeks
221-.13994 .00295 (221*2π)/5302 weeks
222-.16194 .03804 (222*2π)/5302 weeks
223-.09589 .0927 (223*2π)/5302 weeks
224-.09963 .09508 (224*2π)/5302 weeks
225-.06223 .01261 (225*2π)/5302 weeks
226-.04356 -.00515 (226*2π)/5302 weeks
227-.01994 .04567 (227*2π)/5302 weeks
228-.02541 .0256 (228*2π)/5302 weeks
229-.03236 .0012 (229*2π)/5302 weeks
230-.13268 .07884 (230*2π)/5302 weeks
231-.0298 .01317 (231*2π)/5302 weeks
232-.00561 .07209 (232*2π)/5302 weeks
233.01036 -.07651 (233*2π)/5302 weeks
234-.11421 -.07536 (234*2π)/5302 weeks
235-.10709 -.03292 (235*2π)/5302 weeks
236-.05741 .03228 (236*2π)/5302 weeks
237-.03707 -.00198 (237*2π)/5302 weeks
238-.0136 -.04943 (238*2π)/5302 weeks
239-.13498 -.05878 (239*2π)/5302 weeks
240-.14478 -.00055 (240*2π)/5302 weeks
241-.07181 -.00961 (241*2π)/5302 weeks
242-.14631 -.07352 (242*2π)/5302 weeks
243-.09746 -.01878 (243*2π)/5302 weeks
244-.01058 .04386 (244*2π)/5302 weeks
245.03929 -.01101 (245*2π)/5302 weeks
246-.05102 .013 (246*2π)/5302 weeks
247-.11869 .069 (247*2π)/5302 weeks
248-.13092 -.02912 (248*2π)/5302 weeks
249-.12115 -.09685 (249*2π)/5302 weeks
250-.15586 -.05885 (250*2π)/5302 weeks
251-.14081 -.0441 (251*2π)/5302 weeks
252-.13897 -.03592 (252*2π)/5302 weeks
253-.18813 .05553 (253*2π)/5302 weeks
254-.0969 .0671 (254*2π)/5302 weeks
255-.10877 .07361 (255*2π)/5302 weeks
256-.05297 .00066 (256*2π)/5302 weeks
257-.13298 -.06174 (257*2π)/5302 weeks
258-.1599 .08394 (258*2π)/5302 weeks
259-.197 .1149 (259*2π)/5302 weeks
260-.02901 .12894 (260*2π)/5302 weeks
261-.00116 .15612 (261*2π)/5302 weeks
262.01902 .05569 (262*2π)/5302 weeks
263-.12111 .00911 (263*2π)/5302 weeks
264-.09145 .02071 (264*2π)/5302 weeks
265-.2078   (265*2π)/5302 weeks
266-.09145 -.02071 (266*2π)/5302 weeks
267-.12111 -.00911 (267*2π)/5302 weeks
268.01902 -.05569 (268*2π)/5302 weeks
269-.00116 -.15612 (269*2π)/5302 weeks
270-.02901 -.12894 (270*2π)/5302 weeks
271-.197 -.1149 (271*2π)/5302 weeks
272-.1599 -.08394 (272*2π)/5302 weeks
273-.13298 .06174 (273*2π)/5302 weeks
274-.05297 -.00066 (274*2π)/5302 weeks
275-.10877 -.07361 (275*2π)/5302 weeks
276-.0969 -.0671 (276*2π)/5302 weeks
277-.18813 -.05553 (277*2π)/5302 weeks
278-.13897 .03592 (278*2π)/5302 weeks
279-.14081 .0441 (279*2π)/5302 weeks
280-.15586 .05885 (280*2π)/5302 weeks
281-.12115 .09685 (281*2π)/5302 weeks
282-.13092 .02912 (282*2π)/5302 weeks
283-.11869 -.069 (283*2π)/5302 weeks
284-.05102 -.013 (284*2π)/5302 weeks
285.03929 .01101 (285*2π)/5302 weeks
286-.01058 -.04386 (286*2π)/5302 weeks
287-.09746 .01878 (287*2π)/5302 weeks
288-.14631 .07352 (288*2π)/5302 weeks
289-.07181 .00961 (289*2π)/5302 weeks
290-.14478 .00055 (290*2π)/5302 weeks
291-.13498 .05878 (291*2π)/5302 weeks
292-.0136 .04943 (292*2π)/5302 weeks
293-.03707 .00198 (293*2π)/5302 weeks
294-.05741 -.03228 (294*2π)/5302 weeks
295-.10709 .03292 (295*2π)/5302 weeks
296-.11421 .07536 (296*2π)/5302 weeks
297.01036 .07651 (297*2π)/5302 weeks
298-.00561 -.07209 (298*2π)/5302 weeks
299-.0298 -.01317 (299*2π)/5302 weeks
300-.13268 -.07884 (300*2π)/5302 weeks
301-.03236 -.0012 (301*2π)/5302 weeks
302-.02541 -.0256 (302*2π)/5302 weeks
303-.01994 -.04567 (303*2π)/5302 weeks
304-.04356 .00515 (304*2π)/5302 weeks
305-.06223 -.01261 (305*2π)/5302 weeks
306-.09963 -.09508 (306*2π)/5302 weeks
307-.09589 -.0927 (307*2π)/5302 weeks
308-.16194 -.03804 (308*2π)/5302 weeks
309-.13994 -.00295 (309*2π)/5302 weeks
310-.1479 .04199 (310*2π)/5302 weeks
311-.13482 .0334 (311*2π)/5302 weeks
312-.06748 .08935 (312*2π)/5302 weeks
313-.06281 -.02954 (313*2π)/5302 weeks
314-.02998 .05712 (314*2π)/5302 weeks
315-.05368 .05774 (315*2π)/5302 weeks
316-.0475 .02556 (316*2π)/5302 weeks
317-.16644 .13001 (317*2π)/5302 weeks
318-.14213 .12876 (318*2π)/5302 weeks
319-.01931 .14387 (319*2π)/5302 weeks
320-.09139 .04218 (320*2π)/5302 weeks
321-.13371 -.06967 (321*2π)/5302 weeks
322-.11576 -.01961 (322*2π)/5302 weeks
323-.1142 .03401 (323*2π)/5302 weeks
324-.03002 .11871 (324*2π)/5302 weeks
325-.03015 .02152 (325*2π)/5302 weeks
326-.03923 .01031 (326*2π)/5302 weeks
327-.12967 .02376 (327*2π)/5302 weeks
328-.08367 .02063 (328*2π)/5302 weeks
329-.12455 .08311 (329*2π)/5302 weeks
330-.08981 .06065 (330*2π)/5302 weeks
331-.14741 -.00878 (331*2π)/5302 weeks
332-.12126 .00854 (332*2π)/5302 weeks
333-.05448 .09959 (333*2π)/5302 weeks
334-.0571 .00857 (334*2π)/5302 weeks
335-.01526 .07479 (335*2π)/5302 weeks
336-.09822 -.00754 (336*2π)/5302 weeks
337.04773 .11181 (337*2π)/5302 weeks
338-.00045 .03598 (338*2π)/5302 weeks
339.04623 .00479 (339*2π)/5302 weeks
340-.03402 .0482 (340*2π)/5302 weeks
341-.03476 .07479 (341*2π)/5302 weeks
342-.1695 .09792 (342*2π)/5302 weeks
343-.07632 .017 (343*2π)/5302 weeks
344-.04636 .06238 (344*2π)/5302 weeks
345-.06886 -.03704 (345*2π)/5302 weeks
346-.06234 .00188 (346*2π)/5302 weeks
347-.06254 -.01088 (347*2π)/5302 weeks
348-.00472 .06465 (348*2π)/5302 weeks
349-.04013 .07749 (349*2π)/5302 weeks
350.00915 .08607 (350*2π)/5302 weeks
351-.12844 .08758 (351*2π)/5302 weeks
352-.11963 .07063 (352*2π)/5302 weeks
353-.14402 .06619 (353*2π)/5302 weeks
354-.09528 .08295 (354*2π)/5301 weeks
355-.00311 .01063 (355*2π)/5301 weeks
356-.03512 .03933 (356*2π)/5301 weeks
357-.06962 .12508 (357*2π)/5301 weeks
358-.0281 .17738 (358*2π)/5301 weeks
359-.02031 .06132 (359*2π)/5301 weeks
360-.07437 -.00893 (360*2π)/5301 weeks
361-.14521 -.03867 (361*2π)/5301 weeks
362-.08044 .0419 (362*2π)/5301 weeks
363-.05537 .10123 (363*2π)/5301 weeks
364-.05032 .00437 (364*2π)/5301 weeks
365-.06224 -.04432 (365*2π)/5301 weeks
366-.15264 -.03202 (366*2π)/5301 weeks
367-.13512 -.01712 (367*2π)/5301 weeks
368-.03069 -.04704 (368*2π)/5301 weeks
369-.04553 .01705 (369*2π)/5301 weeks
370-.10731 .01432 (370*2π)/5301 weeks
371-.07362 .0845 (371*2π)/5301 weeks
372-.1562 .02677 (372*2π)/5301 weeks
373-.13361 .13005 (373*2π)/5301 weeks
374-.08928 .18706 (374*2π)/5301 weeks
375-.04438 .1334 (375*2π)/5301 weeks
376.01926 .0865 (376*2π)/5301 weeks
377-.12063 .12932 (377*2π)/5301 weeks
378-.17191 .03266 (378*2π)/5301 weeks
379-.21167 .14565 (379*2π)/5301 weeks
380-.156 .14888 (380*2π)/5301 weeks
381-.06379 .10872 (381*2π)/5301 weeks
382-.11876 .01661 (382*2π)/5301 weeks
383-.00724 .06022 (383*2π)/5301 weeks
384-.13049 .08667 (384*2π)/5301 weeks
385-.01412 .09231 (385*2π)/5301 weeks
386-.06944 .11633 (386*2π)/5301 weeks
387-.02152 .00997 (387*2π)/5301 weeks
388-.13486 .05743 (388*2π)/5301 weeks
389-.11677 .0961 (389*2π)/5301 weeks
390-.04565 .17133 (390*2π)/5301 weeks
391.07444 .11195 (391*2π)/5301 weeks
392.01667 .0771 (392*2π)/5301 weeks
393-.11236 -.08726 (393*2π)/5301 weeks
394-.05019 .02254 (394*2π)/5301 weeks
395-.091 .01992 (395*2π)/5301 weeks
396-.12378 .0627 (396*2π)/5301 weeks
397-.23619 .05659 (397*2π)/5301 weeks
398-.10301 .2052 (398*2π)/5301 weeks
399-.10751 .29108 (399*2π)/5301 weeks
400-.0684 .09598 (400*2π)/5301 weeks
401-.19641 .06235 (401*2π)/5301 weeks
402-.30103 .01359 (402*2π)/5301 weeks
403-.20881 .08507 (403*2π)/5301 weeks
404-.18077 .15565 (404*2π)/5301 weeks
405-.1447 .07961 (405*2π)/5301 weeks
406-.16523 .16235 (406*2π)/5301 weeks
407-.11116 .28933 (407*2π)/5301 weeks
408-.0271 .21535 (408*2π)/5301 weeks
409.00905 .09922 (409*2π)/5301 weeks
410-.02115 .00792 (410*2π)/5301 weeks
411-.21698 .11326 (411*2π)/5301 weeks
412-.11891 .13354 (412*2π)/5301 weeks
413-.03097 .10726 (413*2π)/5301 weeks
414-.15771 .16716 (414*2π)/5301 weeks
415-.11006 .14806 (415*2π)/5301 weeks
416-.00307 .12705 (416*2π)/5301 weeks
417.02922 .05555 (417*2π)/5301 weeks
418-.0371 -.00729 (418*2π)/5301 weeks
419.01771 .02948 (419*2π)/5301 weeks
420-.01998 .25599 (420*2π)/5301 weeks
421-.12277 .1012 (421*2π)/5301 weeks
422-.18451 .08091 (422*2π)/5301 weeks
423-.24217 .20728 (423*2π)/5301 weeks
424.03172 .17245 (424*2π)/5301 weeks
425.18114 .07818 (425*2π)/5301 weeks
426-.03417 -.04236 (426*2π)/5301 weeks
427-.20555 .02328 (427*2π)/5301 weeks
428-.29762 .22839 (428*2π)/5301 weeks
429-.12298 .06003 (429*2π)/5301 weeks
430-.19997 .08637 (430*2π)/5301 weeks
431-.2003 .15108 (431*2π)/5301 weeks
432-.04994 .17102 (432*2π)/5301 weeks
433-.05317 .05609 (433*2π)/5301 weeks
434-.23849 -.0881 (434*2π)/5301 weeks
435-.24664 -.0878 (435*2π)/5301 weeks
436-.16195 .08229 (436*2π)/5301 weeks
437-.15617 .08395 (437*2π)/5301 weeks
438-.06733 .19809 (438*2π)/5301 weeks
439-.10021 .12031 (439*2π)/5301 weeks
440-.10205 .32279 (440*2π)/5301 weeks
441-.1915 .32234 (441*2π)/5301 weeks
442-.07386 .27867 (442*2π)/5301 weeks
443.02383 .25534 (443*2π)/5301 weeks
444.05275 .2348 (444*2π)/5301 weeks
445.01645 .20696 (445*2π)/5301 weeks
446-.16398 .09618 (446*2π)/5301 weeks
447-.04002 .01523 (447*2π)/5301 weeks
448-.12082 .00566 (448*2π)/5301 weeks
449-.0483 .19607 (449*2π)/5301 weeks
450-.1101 .14875 (450*2π)/5301 weeks
451.00654 .37049 (451*2π)/5301 weeks
452-.09993 .22029 (452*2π)/5301 weeks
453-.13832 .21873 (453*2π)/5301 weeks
454-.1556 .04022 (454*2π)/5301 weeks
455-.15744 .18206 (455*2π)/5301 weeks
456-.26229 .12838 (456*2π)/5301 weeks
457.06894 .25125 (457*2π)/5301 weeks
458-.03792 .16348 (458*2π)/5301 weeks
459-.08158 -.02561 (459*2π)/5301 weeks
460-.07894 .15537 (460*2π)/5301 weeks
461-.05457 .3721 (461*2π)/5301 weeks
462-.12765 .35276 (462*2π)/5301 weeks
463-.17414 .2868 (463*2π)/5301 weeks
464-.07102 .50739 (464*2π)/5301 weeks
465-.2362 .44344 (465*2π)/5301 weeks
466-.00052 .44718 (466*2π)/5301 weeks
467-.02682 .21557 (467*2π)/5301 weeks
468-.09973 .02086 (468*2π)/5301 weeks
469-.09286 .09487 (469*2π)/5301 weeks
470.10129 .07312 (470*2π)/5301 weeks
471-.04439 .1167 (471*2π)/5301 weeks
472-.14008 .13411 (472*2π)/5301 weeks
473-.05468 .23004 (473*2π)/5301 weeks
474-.15307 .23859 (474*2π)/5301 weeks
475-.06998 .06372 (475*2π)/5301 weeks
476-.5449 .11187 (476*2π)/5301 weeks
477-.20662 .19233 (477*2π)/5301 weeks
478-.19706 .40583 (478*2π)/5301 weeks
479-.14501 .17644 (479*2π)/5301 weeks
480-.0346 .26986 (480*2π)/5301 weeks
481.00194 .22265 (481*2π)/5301 weeks
482.28216 .02592 (482*2π)/5301 weeks
483.22587 .05621 (483*2π)/5301 weeks
484-.08262 .11049 (484*2π)/5301 weeks
485.16434 .79514 (485*2π)/5301 weeks
486.04065 .51946 (486*2π)/5301 weeks
487-.07354 .24982 (487*2π)/5301 weeks
488-.53408 .52269 (488*2π)/5301 weeks
489-.04308 .68694 (489*2π)/5301 weeks
490.21802 .622 (490*2π)/5301 weeks
491.29863 -.04402 (491*2π)/5301 weeks
492.11325 .32199 (492*2π)/5301 weeks
493-.24244 .41529 (493*2π)/5301 weeks
494-.1871 .38864 (494*2π)/5301 weeks
495-.01267 .31208 (495*2π)/5301 weeks
496-.18425 .34171 (496*2π)/5301 weeks
497-.0556 .15372 (497*2π)/5301 weeks
498.38582 .66025 (498*2π)/5301 weeks
499.22189 .76547 (499*2π)/5301 weeks
500.13053 .55899 (500*2π)/5301 weeks
501-.20322 .16135 (501*2π)/5301 weeks
502-.10726 .10614 (502*2π)/5301 weeks
503-.21053 .28976 (503*2π)/5301 weeks
504-.19677 -.10524 (504*2π)/5301 weeks
505-.63202 1.03598 (505*2π)/5301 weeks
506.08612 1.31864 (506*2π)/5301 weeks
507.31632 1.56496 (507*2π)/5301 weeks
508.50876 .57268 (508*2π)/5301 weeks
509-.21345 .47716 (509*2π)/5301 weeks
510-.42866 .84496 (510*2π)/5301 weeks
511-.33243 .9936 (511*2π)/5301 weeks
512-.16627 1.15455 (512*2π)/5301 weeks
513-.31214 .81228 (513*2π)/5301 weeks
514.76657 .8492 (514*2π)/5301 weeks
515.88708 .62349 (515*2π)/5301 weeks
516.38983 .82209 (516*2π)/5301 weeks
517-.0188 1.20731 (517*2π)/5301 weeks
518-.41685 2.30697 (518*2π)/5301 weeks
519-1.41836 1.98268 (519*2π)/5301 weeks
520-.16209 1.15246 (520*2π)/5301 weeks
521-1.0221 1.63736 (521*2π)/5301 weeks
522.60389 .64962 (522*2π)/5301 weeks
523.10398 2.87853 (523*2π)/5301 weeks
524.08466 3.66158 (524*2π)/5301 weeks
5251.24563 2.55329 (525*2π)/5301 weeks
5263.22414 .00841 (526*2π)/5301 weeks
5273.44694 -2.54142 (527*2π)/5301 weeks
5284.86854 5.68868 (528*2π)/5301 weeks

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