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Fourier Analysis of UPW (ProShares Ultra Utilities ETF)


UPW (ProShares Ultra Utilities ETF) appears to have interesting cyclic behaviour every 56 weeks (1.3395*sine), 43 weeks (.9305*sine), and 51 weeks (.8537*sine).

UPW (ProShares Ultra Utilities ETF) has an average price of 22.06 (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 10/16/2017 for UPW (ProShares Ultra Utilities ETF), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
022.06472   0 
17.48961 -10.8295 (1*2π)/560560 weeks
23.20906 -3.56102 (2*2π)/560280 weeks
31.57467 -1.30958 (3*2π)/560187 weeks
4.05025 -1.92362 (4*2π)/560140 weeks
5-1.1583 -1.92766 (5*2π)/560112 weeks
6-.55817 -1.25842 (6*2π)/56093 weeks
71.07807 -1.2859 (7*2π)/56080 weeks
81.20615 -1.6704 (8*2π)/56070 weeks
9.23425 -1.28459 (9*2π)/56062 weeks
10-.32975 -1.33955 (10*2π)/56056 weeks
11-.76594 -.85375 (11*2π)/56051 weeks
12-.17027 -.82035 (12*2π)/56047 weeks
13-.51576 -.93053 (13*2π)/56043 weeks
14-.05233 -.16343 (14*2π)/56040 weeks
15.46086 -.3826 (15*2π)/56037 weeks
16.24093 -.35356 (16*2π)/56035 weeks
17-.18092 -.56652 (17*2π)/56033 weeks
18-.26296 .02007 (18*2π)/56031 weeks
19-.15019 -.65405 (19*2π)/56029 weeks
20-.39036 -.86328 (20*2π)/56028 weeks
21-.27871 -.69696 (21*2π)/56027 weeks
22-.11739 -.6368 (22*2π)/56025 weeks
23-.12495 -.44768 (23*2π)/56024 weeks
24-.17315 -.43638 (24*2π)/56023 weeks
25-.11392 -.28653 (25*2π)/56022 weeks
26.15813 -.42246 (26*2π)/56022 weeks
27.14581 -.53612 (27*2π)/56021 weeks
28-.16718 -.43454 (28*2π)/56020 weeks
29-.28151 -.36633 (29*2π)/56019 weeks
30-.16308 -.19135 (30*2π)/56019 weeks
31-.22066 -.41212 (31*2π)/56018 weeks
32-.09995 -.39002 (32*2π)/56018 weeks
33.12738 -.40585 (33*2π)/56017 weeks
34.09032 -.32395 (34*2π)/56016 weeks
35-.01772 -.29131 (35*2π)/56016 weeks
36-.23179 -.46859 (36*2π)/56016 weeks
37-.28246 -.18142 (37*2π)/56015 weeks
38.0443 -.12617 (38*2π)/56015 weeks
39-.0794 -.39539 (39*2π)/56014 weeks
40-.04598 -.23789 (40*2π)/56014 weeks
41-.05996 -.26629 (41*2π)/56014 weeks
42-.15421 -.06396 (42*2π)/56013 weeks
43.06928 -.38383 (43*2π)/56013 weeks
44-.28721 -.36057 (44*2π)/56013 weeks
45-.27441 -.16459 (45*2π)/56012 weeks
46-.16264 -.08571 (46*2π)/56012 weeks
47.00455 .01326 (47*2π)/56012 weeks
48.17465 -.05465 (48*2π)/56012 weeks
49.02703 -.05762 (49*2π)/56011 weeks
50-.04814 -.03821 (50*2π)/56011 weeks
51.01514 -.11347 (51*2π)/56011 weeks
52-.01638 -.1631 (52*2π)/56011 weeks
53.13706 -.08161 (53*2π)/56011 weeks
54.07396 -.13941 (54*2π)/56010 weeks
55.04714 -.18196 (55*2π)/56010 weeks
56-.25424 -.13682 (56*2π)/56010 weeks
57-.14923 .01809 (57*2π)/56010 weeks
58.08863 -.2652 (58*2π)/56010 weeks
59-.00059 -.32525 (59*2π)/5609 weeks
60-.025 -.17763 (60*2π)/5609 weeks
61.01594 -.03857 (61*2π)/5609 weeks
62-.0371 -.17596 (62*2π)/5609 weeks
63-.03147 -.18431 (63*2π)/5609 weeks
64-.05257 -.14303 (64*2π)/5609 weeks
65-.09641 -.2441 (65*2π)/5609 weeks
66-.12403 -.12251 (66*2π)/5608 weeks
67-.0722 -.12261 (67*2π)/5608 weeks
68.09525 -.16714 (68*2π)/5608 weeks
69-.09772 -.29979 (69*2π)/5608 weeks
70-.06924 -.1993 (70*2π)/5608 weeks
71-.1392 -.15207 (71*2π)/5608 weeks
72-.0834 -.1185 (72*2π)/5608 weeks
73.00143 -.01832 (73*2π)/5608 weeks
74-.01818 -.05443 (74*2π)/5608 weeks
75.00865 -.01499 (75*2π)/5607 weeks
76-.06946 -.12479 (76*2π)/5607 weeks
77-.06822 -.08494 (77*2π)/5607 weeks
78-.02498 -.04911 (78*2π)/5607 weeks
79.06375 -.16418 (79*2π)/5607 weeks
80-.01436 -.09409 (80*2π)/5607 weeks
81-.02595 -.0558 (81*2π)/5607 weeks
82-.02802 -.10398 (82*2π)/5607 weeks
83-.03751 -.11463 (83*2π)/5607 weeks
84-.03834 -.14007 (84*2π)/5607 weeks
85-.10025 -.06055 (85*2π)/5607 weeks
86.01883 -.03217 (86*2π)/5607 weeks
87-.0448 -.05071 (87*2π)/5606 weeks
88.0025 -.13408 (88*2π)/5606 weeks
89-.0422 -.26446 (89*2π)/5606 weeks
90-.03035 -.23629 (90*2π)/5606 weeks
91-.12718 -.14971 (91*2π)/5606 weeks
92-.08363 -.07784 (92*2π)/5606 weeks
93-.0888 -.07786 (93*2π)/5606 weeks
94-.04866 -.13551 (94*2π)/5606 weeks
95-.07134 -.14732 (95*2π)/5606 weeks
96-.05024 -.09193 (96*2π)/5606 weeks
97-.05471 -.09387 (97*2π)/5606 weeks
98-.00183 -.1067 (98*2π)/5606 weeks
99-.02724 -.13758 (99*2π)/5606 weeks
100-.0763 -.07933 (100*2π)/5606 weeks
101-.06457 -.07434 (101*2π)/5606 weeks
102-.08431 -.15739 (102*2π)/5605 weeks
103-.14516 -.13903 (103*2π)/5605 weeks
104-.1105 -.06286 (104*2π)/5605 weeks
105-.02595 -.00847 (105*2π)/5605 weeks
106-.05989 .02033 (106*2π)/5605 weeks
107-.10525 -.01592 (107*2π)/5605 weeks
108-.07878 -.10516 (108*2π)/5605 weeks
109-.11515 -.11442 (109*2π)/5605 weeks
110-.08866 -.14304 (110*2π)/5605 weeks
111-.04143 -.09501 (111*2π)/5605 weeks
112-.02316 -.12623 (112*2π)/5605 weeks
113-.07724 -.14564 (113*2π)/5605 weeks
114-.16714 -.13529 (114*2π)/5605 weeks
115-.13796 -.00421 (115*2π)/5605 weeks
116.02793 -.00945 (116*2π)/5605 weeks
117.05753 -.07309 (117*2π)/5605 weeks
118.04504 -.08349 (118*2π)/5605 weeks
119-.07725 -.10436 (119*2π)/5605 weeks
120-.1177 -.07239 (120*2π)/5605 weeks
121-.12496 -.05953 (121*2π)/5605 weeks
122-.07331 -.08119 (122*2π)/5605 weeks
123-.01867 -.08126 (123*2π)/5605 weeks
124-.04028 -.0612 (124*2π)/5605 weeks
125-.02623 -.05998 (125*2π)/5604 weeks
126-.09569 -.09882 (126*2π)/5604 weeks
127-.05788 -.00422 (127*2π)/5604 weeks
128.00591 -.02694 (128*2π)/5604 weeks
129-.00523 -.12995 (129*2π)/5604 weeks
130-.11823 -.1158 (130*2π)/5604 weeks
131-.08772 -.01942 (131*2π)/5604 weeks
132-.0562 -.06224 (132*2π)/5604 weeks
133-.11755 -.18197 (133*2π)/5604 weeks
134-.15905 -.16355 (134*2π)/5604 weeks
135-.17598 -.02264 (135*2π)/5604 weeks
136-.07869 -.0245 (136*2π)/5604 weeks
137-.0236 -.06707 (137*2π)/5604 weeks
138-.06409 -.08758 (138*2π)/5604 weeks
139-.0621 -.05453 (139*2π)/5604 weeks
140-.03293 -.06174 (140*2π)/5604 weeks
141-.08438 -.12931 (141*2π)/5604 weeks
142-.09863 -.07864 (142*2π)/5604 weeks
143-.08328 -.01613 (143*2π)/5604 weeks
144-.03107 .05759 (144*2π)/5604 weeks
145-.07416 -.02006 (145*2π)/5604 weeks
146-.06834 -.05268 (146*2π)/5604 weeks
147-.01375 .00673 (147*2π)/5604 weeks
148-.01488 -.07398 (148*2π)/5604 weeks
149-.05798 -.08706 (149*2π)/5604 weeks
150-.05946 -.04598 (150*2π)/5604 weeks
151-.05305 -.02895 (151*2π)/5604 weeks
152-.07781 -.04179 (152*2π)/5604 weeks
153-.10021 -.01593 (153*2π)/5604 weeks
154-.0812 -.0111 (154*2π)/5604 weeks
155-.00966 -.09243 (155*2π)/5604 weeks
156-.06181 -.0482 (156*2π)/5604 weeks
157-.05889 -.01703 (157*2π)/5604 weeks
158-.04638 -.0097 (158*2π)/5604 weeks
159-.04544 -.02059 (159*2π)/5604 weeks
160.00709 -.01189 (160*2π)/5604 weeks
161-.05499 -.04989 (161*2π)/5603 weeks
162-.01086 -.06772 (162*2π)/5603 weeks
163-.01716 -.0294 (163*2π)/5603 weeks
164-.0518 -.09983 (164*2π)/5603 weeks
165-.06975 -.09077 (165*2π)/5603 weeks
166-.09533 -.03576 (166*2π)/5603 weeks
167-.08022 -.00628 (167*2π)/5603 weeks
168-.04691 -.06521 (168*2π)/5603 weeks
169-.067 -.07356 (169*2π)/5603 weeks
170-.06597 -.11973 (170*2π)/5603 weeks
171-.083 -.03047 (171*2π)/5603 weeks
172-.05937 -.01451 (172*2π)/5603 weeks
173-.02054 .01306 (173*2π)/5603 weeks
174-.07222 -.0317 (174*2π)/5603 weeks
175-.08791 .01624 (175*2π)/5603 weeks
176-.05172 .0627 (176*2π)/5603 weeks
177-.00369 -.00156 (177*2π)/5603 weeks
178-.04365 -.05168 (178*2π)/5603 weeks
179-.07756 -.05862 (179*2π)/5603 weeks
180-.03521 -.0468 (180*2π)/5603 weeks
181-.04477 -.0785 (181*2π)/5603 weeks
182-.08004 -.06358 (182*2π)/5603 weeks
183-.07974 .00217 (183*2π)/5603 weeks
184-.06477 -.03642 (184*2π)/5603 weeks
185-.06944 .00181 (185*2π)/5603 weeks
186.01568 -.03509 (186*2π)/5603 weeks
187-.01694 -.04751 (187*2π)/5603 weeks
188-.03831 -.0506 (188*2π)/5603 weeks
189-.05529 -.05295 (189*2π)/5603 weeks
190-.06111 -.06762 (190*2π)/5603 weeks
191-.07565 -.06131 (191*2π)/5603 weeks
192-.0779 .00108 (192*2π)/5603 weeks
193-.00041 -.02743 (193*2π)/5603 weeks
194-.06021 -.02375 (194*2π)/5603 weeks
195-.03741 .04015 (195*2π)/5603 weeks
196-.00995 .02056 (196*2π)/5603 weeks
197-.04238 -.02476 (197*2π)/5603 weeks
198-.07952 -.03399 (198*2π)/5603 weeks
199-.10986 -.15042 (199*2π)/5603 weeks
200-.10795 -.0613 (200*2π)/5603 weeks
201-.06509 -.0677 (201*2π)/5603 weeks
202-.10511 -.0633 (202*2π)/5603 weeks
203-.11278 .00717 (203*2π)/5603 weeks
204-.01477 .01177 (204*2π)/5603 weeks
205-.01314 .00684 (205*2π)/5603 weeks
206-.008 -.06447 (206*2π)/5603 weeks
207-.05151 .01171 (207*2π)/5603 weeks
208-.05591 .03039 (208*2π)/5603 weeks
209-.05305 .02073 (209*2π)/5603 weeks
210-.06186 -.0169 (210*2π)/5603 weeks
211-.09227 -.06195 (211*2π)/5603 weeks
212-.07178 -.05821 (212*2π)/5603 weeks
213-.03663 -.04984 (213*2π)/5603 weeks
214-.05917 -.02154 (214*2π)/5603 weeks
215-.06957 -.03419 (215*2π)/5603 weeks
216-.08652 -.06189 (216*2π)/5603 weeks
217-.09253 -.02507 (217*2π)/5603 weeks
218-.03284 -.05449 (218*2π)/5603 weeks
219-.08567 -.03792 (219*2π)/5603 weeks
220-.09414 .02642 (220*2π)/5603 weeks
221-.09212 .00129 (221*2π)/5603 weeks
222-.11342 -.04155 (222*2π)/5603 weeks
223-.08399 -.01179 (223*2π)/5603 weeks
224-.09895 -.03374 (224*2π)/5603 weeks
225-.07525 -.03471 (225*2π)/5602 weeks
226-.03302 -.02703 (226*2π)/5602 weeks
227-.06929 -.00709 (227*2π)/5602 weeks
228-.04436 -.03112 (228*2π)/5602 weeks
229-.0633 .00332 (229*2π)/5602 weeks
230-.03359 .01569 (230*2π)/5602 weeks
231-.03028 -.01464 (231*2π)/5602 weeks
232-.02525 -.08105 (232*2π)/5602 weeks
233-.07732 .00261 (233*2π)/5602 weeks
234-.06184 .06714 (234*2π)/5602 weeks
235-.01264 .01752 (235*2π)/5602 weeks
236-.03606 -.00766 (236*2π)/5602 weeks
237-.05217 -.00092 (237*2π)/5602 weeks
238-.02544 -.00257 (238*2π)/5602 weeks
239-.01691 -.0146 (239*2π)/5602 weeks
240-.04682 .0077 (240*2π)/5602 weeks
241-.04612 .04032 (241*2π)/5602 weeks
242-.08202 .0253 (242*2π)/5602 weeks
243-.05929 .02137 (243*2π)/5602 weeks
244-.0675 -.03381 (244*2π)/5602 weeks
245-.07869 -.01678 (245*2π)/5602 weeks
246-.0477 -.05524 (246*2π)/5602 weeks
247-.0992 -.0124 (247*2π)/5602 weeks
248-.07484 -.01302 (248*2π)/5602 weeks
249-.07549 .01628 (249*2π)/5602 weeks
250-.06732 -.02531 (250*2π)/5602 weeks
251-.05398 -.00829 (251*2π)/5602 weeks
252-.02987 .02387 (252*2π)/5602 weeks
253-.00102 -.00725 (253*2π)/5602 weeks
254-.04759 -.01635 (254*2π)/5602 weeks
255-.07867 -.03097 (255*2π)/5602 weeks
256-.07319 -.02626 (256*2π)/5602 weeks
257-.07209 -.0151 (257*2π)/5602 weeks
258-.03145 -.00827 (258*2π)/5602 weeks
259-.03188 -.0025 (259*2π)/5602 weeks
260-.02817 -.00801 (260*2π)/5602 weeks
261-.07366 -.03474 (261*2π)/5602 weeks
262-.10945 -.02118 (262*2π)/5602 weeks
263-.05981 -.00806 (263*2π)/5602 weeks
264-.08169 -.02402 (264*2π)/5602 weeks
265-.0174 .01834 (265*2π)/5602 weeks
266-.03924 .03828 (266*2π)/5602 weeks
267.00376 .04122 (267*2π)/5602 weeks
268-.02076 -.03668 (268*2π)/5602 weeks
269-.0687 .02482 (269*2π)/5602 weeks
270-.06699 .03031 (270*2π)/5602 weeks
271-.09302 .03602 (271*2π)/5602 weeks
272-.04001 .07595 (272*2π)/5602 weeks
273-.04663 .00933 (273*2π)/5602 weeks
274-.08003 -.02071 (274*2π)/5602 weeks
275-.06333 .00439 (275*2π)/5602 weeks
276-.07917 .01524 (276*2π)/5602 weeks
277-.06485 .04149 (277*2π)/5602 weeks
278-.04656 .0188 (278*2π)/5602 weeks
279-.0808 .04541 (279*2π)/5602 weeks
280-.0702   (280*2π)/5602 weeks
281-.0808 -.04541 (281*2π)/5602 weeks
282-.04656 -.0188 (282*2π)/5602 weeks
283-.06485 -.04149 (283*2π)/5602 weeks
284-.07917 -.01524 (284*2π)/5602 weeks
285-.06333 -.00439 (285*2π)/5602 weeks
286-.08003 .02071 (286*2π)/5602 weeks
287-.04663 -.00933 (287*2π)/5602 weeks
288-.04001 -.07595 (288*2π)/5602 weeks
289-.09302 -.03602 (289*2π)/5602 weeks
290-.06699 -.03031 (290*2π)/5602 weeks
291-.0687 -.02482 (291*2π)/5602 weeks
292-.02076 .03668 (292*2π)/5602 weeks
293.00376 -.04122 (293*2π)/5602 weeks
294-.03924 -.03828 (294*2π)/5602 weeks
295-.0174 -.01834 (295*2π)/5602 weeks
296-.08169 .02402 (296*2π)/5602 weeks
297-.05981 .00806 (297*2π)/5602 weeks
298-.10945 .02118 (298*2π)/5602 weeks
299-.07366 .03474 (299*2π)/5602 weeks
300-.02817 .00801 (300*2π)/5602 weeks
301-.03188 .0025 (301*2π)/5602 weeks
302-.03145 .00827 (302*2π)/5602 weeks
303-.07209 .0151 (303*2π)/5602 weeks
304-.07319 .02626 (304*2π)/5602 weeks
305-.07867 .03097 (305*2π)/5602 weeks
306-.04759 .01635 (306*2π)/5602 weeks
307-.00102 .00725 (307*2π)/5602 weeks
308-.02987 -.02387 (308*2π)/5602 weeks
309-.05398 .00829 (309*2π)/5602 weeks
310-.06732 .02531 (310*2π)/5602 weeks
311-.07549 -.01628 (311*2π)/5602 weeks
312-.07484 .01302 (312*2π)/5602 weeks
313-.0992 .0124 (313*2π)/5602 weeks
314-.0477 .05524 (314*2π)/5602 weeks
315-.07869 .01678 (315*2π)/5602 weeks
316-.0675 .03381 (316*2π)/5602 weeks
317-.05929 -.02137 (317*2π)/5602 weeks
318-.08202 -.0253 (318*2π)/5602 weeks
319-.04612 -.04032 (319*2π)/5602 weeks
320-.04682 -.0077 (320*2π)/5602 weeks
321-.01691 .0146 (321*2π)/5602 weeks
322-.02544 .00257 (322*2π)/5602 weeks
323-.05217 .00092 (323*2π)/5602 weeks
324-.03606 .00766 (324*2π)/5602 weeks
325-.01264 -.01752 (325*2π)/5602 weeks
326-.06184 -.06714 (326*2π)/5602 weeks
327-.07732 -.00261 (327*2π)/5602 weeks
328-.02525 .08105 (328*2π)/5602 weeks
329-.03028 .01464 (329*2π)/5602 weeks
330-.03359 -.01569 (330*2π)/5602 weeks
331-.0633 -.00332 (331*2π)/5602 weeks
332-.04436 .03112 (332*2π)/5602 weeks
333-.06929 .00709 (333*2π)/5602 weeks
334-.03302 .02703 (334*2π)/5602 weeks
335-.07525 .03471 (335*2π)/5602 weeks
336-.09895 .03374 (336*2π)/5602 weeks
337-.08399 .01179 (337*2π)/5602 weeks
338-.11342 .04155 (338*2π)/5602 weeks
339-.09212 -.00129 (339*2π)/5602 weeks
340-.09414 -.02642 (340*2π)/5602 weeks
341-.08567 .03792 (341*2π)/5602 weeks
342-.03284 .05449 (342*2π)/5602 weeks
343-.09253 .02507 (343*2π)/5602 weeks
344-.08652 .06189 (344*2π)/5602 weeks
345-.06957 .03419 (345*2π)/5602 weeks
346-.05917 .02154 (346*2π)/5602 weeks
347-.03663 .04984 (347*2π)/5602 weeks
348-.07178 .05821 (348*2π)/5602 weeks
349-.09227 .06195 (349*2π)/5602 weeks
350-.06186 .0169 (350*2π)/5602 weeks
351-.05305 -.02073 (351*2π)/5602 weeks
352-.05591 -.03039 (352*2π)/5602 weeks
353-.05151 -.01171 (353*2π)/5602 weeks
354-.008 .06447 (354*2π)/5602 weeks
355-.01314 -.00684 (355*2π)/5602 weeks
356-.01477 -.01177 (356*2π)/5602 weeks
357-.11278 -.00717 (357*2π)/5602 weeks
358-.10511 .0633 (358*2π)/5602 weeks
359-.06509 .0677 (359*2π)/5602 weeks
360-.10795 .0613 (360*2π)/5602 weeks
361-.10986 .15042 (361*2π)/5602 weeks
362-.07952 .03399 (362*2π)/5602 weeks
363-.04238 .02476 (363*2π)/5602 weeks
364-.00995 -.02056 (364*2π)/5602 weeks
365-.03741 -.04015 (365*2π)/5602 weeks
366-.06021 .02375 (366*2π)/5602 weeks
367-.00041 .02743 (367*2π)/5602 weeks
368-.0779 -.00108 (368*2π)/5602 weeks
369-.07565 .06131 (369*2π)/5602 weeks
370-.06111 .06762 (370*2π)/5602 weeks
371-.05529 .05295 (371*2π)/5602 weeks
372-.03831 .0506 (372*2π)/5602 weeks
373-.01694 .04751 (373*2π)/5602 weeks
374.01568 .03509 (374*2π)/5601 weeks
375-.06944 -.00181 (375*2π)/5601 weeks
376-.06477 .03642 (376*2π)/5601 weeks
377-.07974 -.00217 (377*2π)/5601 weeks
378-.08004 .06358 (378*2π)/5601 weeks
379-.04477 .0785 (379*2π)/5601 weeks
380-.03521 .0468 (380*2π)/5601 weeks
381-.07756 .05862 (381*2π)/5601 weeks
382-.04365 .05168 (382*2π)/5601 weeks
383-.00369 .00156 (383*2π)/5601 weeks
384-.05172 -.0627 (384*2π)/5601 weeks
385-.08791 -.01624 (385*2π)/5601 weeks
386-.07222 .0317 (386*2π)/5601 weeks
387-.02054 -.01306 (387*2π)/5601 weeks
388-.05937 .01451 (388*2π)/5601 weeks
389-.083 .03047 (389*2π)/5601 weeks
390-.06597 .11973 (390*2π)/5601 weeks
391-.067 .07356 (391*2π)/5601 weeks
392-.04691 .06521 (392*2π)/5601 weeks
393-.08022 .00628 (393*2π)/5601 weeks
394-.09533 .03576 (394*2π)/5601 weeks
395-.06975 .09077 (395*2π)/5601 weeks
396-.0518 .09983 (396*2π)/5601 weeks
397-.01716 .0294 (397*2π)/5601 weeks
398-.01086 .06772 (398*2π)/5601 weeks
399-.05499 .04989 (399*2π)/5601 weeks
400.00709 .01189 (400*2π)/5601 weeks
401-.04544 .02059 (401*2π)/5601 weeks
402-.04638 .0097 (402*2π)/5601 weeks
403-.05889 .01703 (403*2π)/5601 weeks
404-.06181 .0482 (404*2π)/5601 weeks
405-.00966 .09243 (405*2π)/5601 weeks
406-.0812 .0111 (406*2π)/5601 weeks
407-.10021 .01593 (407*2π)/5601 weeks
408-.07781 .04179 (408*2π)/5601 weeks
409-.05305 .02895 (409*2π)/5601 weeks
410-.05946 .04598 (410*2π)/5601 weeks
411-.05798 .08706 (411*2π)/5601 weeks
412-.01488 .07398 (412*2π)/5601 weeks
413-.01375 -.00673 (413*2π)/5601 weeks
414-.06834 .05268 (414*2π)/5601 weeks
415-.07416 .02006 (415*2π)/5601 weeks
416-.03107 -.05759 (416*2π)/5601 weeks
417-.08328 .01613 (417*2π)/5601 weeks
418-.09863 .07864 (418*2π)/5601 weeks
419-.08438 .12931 (419*2π)/5601 weeks
420-.03293 .06174 (420*2π)/5601 weeks
421-.0621 .05453 (421*2π)/5601 weeks
422-.06409 .08758 (422*2π)/5601 weeks
423-.0236 .06707 (423*2π)/5601 weeks
424-.07869 .0245 (424*2π)/5601 weeks
425-.17598 .02264 (425*2π)/5601 weeks
426-.15905 .16355 (426*2π)/5601 weeks
427-.11755 .18197 (427*2π)/5601 weeks
428-.0562 .06224 (428*2π)/5601 weeks
429-.08772 .01942 (429*2π)/5601 weeks
430-.11823 .1158 (430*2π)/5601 weeks
431-.00523 .12995 (431*2π)/5601 weeks
432.00591 .02694 (432*2π)/5601 weeks
433-.05788 .00422 (433*2π)/5601 weeks
434-.09569 .09882 (434*2π)/5601 weeks
435-.02623 .05998 (435*2π)/5601 weeks
436-.04028 .0612 (436*2π)/5601 weeks
437-.01867 .08126 (437*2π)/5601 weeks
438-.07331 .08119 (438*2π)/5601 weeks
439-.12496 .05953 (439*2π)/5601 weeks
440-.1177 .07239 (440*2π)/5601 weeks
441-.07725 .10436 (441*2π)/5601 weeks
442.04504 .08349 (442*2π)/5601 weeks
443.05753 .07309 (443*2π)/5601 weeks
444.02793 .00945 (444*2π)/5601 weeks
445-.13796 .00421 (445*2π)/5601 weeks
446-.16714 .13529 (446*2π)/5601 weeks
447-.07724 .14564 (447*2π)/5601 weeks
448-.02316 .12623 (448*2π)/5601 weeks
449-.04143 .09501 (449*2π)/5601 weeks
450-.08866 .14304 (450*2π)/5601 weeks
451-.11515 .11442 (451*2π)/5601 weeks
452-.07878 .10516 (452*2π)/5601 weeks
453-.10525 .01592 (453*2π)/5601 weeks
454-.05989 -.02033 (454*2π)/5601 weeks
455-.02595 .00847 (455*2π)/5601 weeks
456-.1105 .06286 (456*2π)/5601 weeks
457-.14516 .13903 (457*2π)/5601 weeks
458-.08431 .15739 (458*2π)/5601 weeks
459-.06457 .07434 (459*2π)/5601 weeks
460-.0763 .07933 (460*2π)/5601 weeks
461-.02724 .13758 (461*2π)/5601 weeks
462-.00183 .1067 (462*2π)/5601 weeks
463-.05471 .09387 (463*2π)/5601 weeks
464-.05024 .09193 (464*2π)/5601 weeks
465-.07134 .14732 (465*2π)/5601 weeks
466-.04866 .13551 (466*2π)/5601 weeks
467-.0888 .07786 (467*2π)/5601 weeks
468-.08363 .07784 (468*2π)/5601 weeks
469-.12718 .14971 (469*2π)/5601 weeks
470-.03035 .23629 (470*2π)/5601 weeks
471-.0422 .26446 (471*2π)/5601 weeks
472.0025 .13408 (472*2π)/5601 weeks
473-.0448 .05071 (473*2π)/5601 weeks
474.01883 .03217 (474*2π)/5601 weeks
475-.10025 .06055 (475*2π)/5601 weeks
476-.03834 .14007 (476*2π)/5601 weeks
477-.03751 .11463 (477*2π)/5601 weeks
478-.02802 .10398 (478*2π)/5601 weeks
479-.02595 .0558 (479*2π)/5601 weeks
480-.01436 .09409 (480*2π)/5601 weeks
481.06375 .16418 (481*2π)/5601 weeks
482-.02498 .04911 (482*2π)/5601 weeks
483-.06822 .08494 (483*2π)/5601 weeks
484-.06946 .12479 (484*2π)/5601 weeks
485.00865 .01499 (485*2π)/5601 weeks
486-.01818 .05443 (486*2π)/5601 weeks
487.00143 .01832 (487*2π)/5601 weeks
488-.0834 .1185 (488*2π)/5601 weeks
489-.1392 .15207 (489*2π)/5601 weeks
490-.06924 .1993 (490*2π)/5601 weeks
491-.09772 .29979 (491*2π)/5601 weeks
492.09525 .16714 (492*2π)/5601 weeks
493-.0722 .12261 (493*2π)/5601 weeks
494-.12403 .12251 (494*2π)/5601 weeks
495-.09641 .2441 (495*2π)/5601 weeks
496-.05257 .14303 (496*2π)/5601 weeks
497-.03147 .18431 (497*2π)/5601 weeks
498-.0371 .17596 (498*2π)/5601 weeks
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500-.025 .17763 (500*2π)/5601 weeks
501-.00059 .32525 (501*2π)/5601 weeks
502.08863 .2652 (502*2π)/5601 weeks
503-.14923 -.01809 (503*2π)/5601 weeks
504-.25424 .13682 (504*2π)/5601 weeks
505.04714 .18196 (505*2π)/5601 weeks
506.07396 .13941 (506*2π)/5601 weeks
507.13706 .08161 (507*2π)/5601 weeks
508-.01638 .1631 (508*2π)/5601 weeks
509.01514 .11347 (509*2π)/5601 weeks
510-.04814 .03821 (510*2π)/5601 weeks
511.02703 .05762 (511*2π)/5601 weeks
512.17465 .05465 (512*2π)/5601 weeks
513.00455 -.01326 (513*2π)/5601 weeks
514-.16264 .08571 (514*2π)/5601 weeks
515-.27441 .16459 (515*2π)/5601 weeks
516-.28721 .36057 (516*2π)/5601 weeks
517.06928 .38383 (517*2π)/5601 weeks
518-.15421 .06396 (518*2π)/5601 weeks
519-.05996 .26629 (519*2π)/5601 weeks
520-.04598 .23789 (520*2π)/5601 weeks
521-.0794 .39539 (521*2π)/5601 weeks
522.0443 .12617 (522*2π)/5601 weeks
523-.28246 .18142 (523*2π)/5601 weeks
524-.23179 .46859 (524*2π)/5601 weeks
525-.01772 .29131 (525*2π)/5601 weeks
526.09032 .32395 (526*2π)/5601 weeks
527.12738 .40585 (527*2π)/5601 weeks
528-.09995 .39002 (528*2π)/5601 weeks
529-.22066 .41212 (529*2π)/5601 weeks
530-.16308 .19135 (530*2π)/5601 weeks
531-.28151 .36633 (531*2π)/5601 weeks
532-.16718 .43454 (532*2π)/5601 weeks
533.14581 .53612 (533*2π)/5601 weeks
534.15813 .42246 (534*2π)/5601 weeks
535-.11392 .28653 (535*2π)/5601 weeks
536-.17315 .43638 (536*2π)/5601 weeks
537-.12495 .44768 (537*2π)/5601 weeks
538-.11739 .6368 (538*2π)/5601 weeks
539-.27871 .69696 (539*2π)/5601 weeks
540-.39036 .86328 (540*2π)/5601 weeks
541-.15019 .65405 (541*2π)/5601 weeks
542-.26296 -.02007 (542*2π)/5601 weeks
543-.18092 .56652 (543*2π)/5601 weeks
544.24093 .35356 (544*2π)/5601 weeks
545.46086 .3826 (545*2π)/5601 weeks
546-.05233 .16343 (546*2π)/5601 weeks
547-.51576 .93053 (547*2π)/5601 weeks
548-.17027 .82035 (548*2π)/5601 weeks
549-.76594 .85375 (549*2π)/5601 weeks
550-.32975 1.33955 (550*2π)/5601 weeks
551.23425 1.28459 (551*2π)/5601 weeks
5521.20615 1.6704 (552*2π)/5601 weeks
5531.07807 1.2859 (553*2π)/5601 weeks
554-.55817 1.25842 (554*2π)/5601 weeks
555-1.1583 1.92766 (555*2π)/5601 weeks
556.05025 1.92362 (556*2π)/5601 weeks
5571.57467 1.30958 (557*2π)/5601 weeks
5583.20906 3.56102 (558*2π)/5601 weeks



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