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Fourier Analysis of MVV (PROSHARES ULTRA MIDCAP400 PROSHARES ULTRA MIDCAP400)


MVV (PROSHARES ULTRA MIDCAP400 PROSHARES ULTRA MIDCAP400) appears to have interesting cyclic behaviour every 60 weeks (3.2605*sine), 54 weeks (3.1207*sine), and 60 weeks (1.2605*cosine).

MVV (PROSHARES ULTRA MIDCAP400 PROSHARES ULTRA MIDCAP400) has an average price of 48.15 (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 6/21/2006 to 11/6/2017 for MVV (PROSHARES ULTRA MIDCAP400 PROSHARES ULTRA MIDCAP400), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
048.15203   0 
116.50712 -26.69553 (1*2π)/595595 weeks
23.93525 -6.44448 (2*2π)/595298 weeks
33.89987 -1.16892 (3*2π)/595198 weeks
4-.89282 -7.83214 (4*2π)/595149 weeks
5.22054 -7.3815 (5*2π)/595119 weeks
6-.93451 -6.26187 (6*2π)/59599 weeks
7-.75939 -2.73026 (7*2π)/59585 weeks
8-1.44186 -.90867 (8*2π)/59574 weeks
9-.19101 -3.88685 (9*2π)/59566 weeks
101.26053 -3.26047 (10*2π)/59560 weeks
11-.61318 -3.12072 (11*2π)/59554 weeks
12.69222 -.73042 (12*2π)/59550 weeks
13-.98745 -.69291 (13*2π)/59546 weeks
14.05163 -1.66368 (14*2π)/59543 weeks
15.04325 -1.92455 (15*2π)/59540 weeks
16.76998 -1.66111 (16*2π)/59537 weeks
17.66126 -1.35285 (17*2π)/59535 weeks
18.41729 -1.91934 (18*2π)/59533 weeks
19-1.06043 -1.23571 (19*2π)/59531 weeks
20-.57089 -1.82629 (20*2π)/59530 weeks
21-.28858 -1.19473 (21*2π)/59528 weeks
22-.00723 -1.01427 (22*2π)/59527 weeks
23.17023 -1.10058 (23*2π)/59526 weeks
24.56426 -1.18997 (24*2π)/59525 weeks
25-.10258 -1.25143 (25*2π)/59524 weeks
26.14211 -.39223 (26*2π)/59523 weeks
27.39029 -.52994 (27*2π)/59522 weeks
28.42077 -.49367 (28*2π)/59521 weeks
29.1094 -1.73257 (29*2π)/59521 weeks
30.08106 -1.42968 (30*2π)/59520 weeks
31-.11699 -1.48398 (31*2π)/59519 weeks
32-.3621 -.69554 (32*2π)/59519 weeks
33-.45333 -.2603 (33*2π)/59518 weeks
34.19328 -.70069 (34*2π)/59518 weeks
35.3648 -1.33236 (35*2π)/59517 weeks
36.58724 -1.02967 (36*2π)/59517 weeks
37-.16854 -.41207 (37*2π)/59516 weeks
38-.36211 -.82176 (38*2π)/59516 weeks
39-.41644 -.65981 (39*2π)/59515 weeks
40-.14608 -1.07996 (40*2π)/59515 weeks
41-.31045 -.85216 (41*2π)/59515 weeks
42-.14134 -.65046 (42*2π)/59514 weeks
43-.17426 -.53988 (43*2π)/59514 weeks
44-.69851 -.81843 (44*2π)/59514 weeks
45-.14961 -.44914 (45*2π)/59513 weeks
46-.1106 -.42899 (46*2π)/59513 weeks
47.17787 -.67122 (47*2π)/59513 weeks
48-.25408 -.53237 (48*2π)/59512 weeks
49-.23993 -.45261 (49*2π)/59512 weeks
50-.09756 -.70926 (50*2π)/59512 weeks
51-.27744 -1.24987 (51*2π)/59512 weeks
52-.43094 -.45523 (52*2π)/59511 weeks
53.05779 -.4067 (53*2π)/59511 weeks
54-.08981 -.66824 (54*2π)/59511 weeks
55-.33565 -.25125 (55*2π)/59511 weeks
56-.1292 -.38529 (56*2π)/59511 weeks
57-.30281 -.12597 (57*2π)/59510 weeks
58-.32311 -.26473 (58*2π)/59510 weeks
59-.26255 -.0809 (59*2π)/59510 weeks
60-.24669 -.26985 (60*2π)/59510 weeks
61.37994 -.51042 (61*2π)/59510 weeks
62-.14688 -.56987 (62*2π)/59510 weeks
63-.25385 -.28164 (63*2π)/5959 weeks
64-.10839 -.30261 (64*2π)/5959 weeks
65-.2901 -.58482 (65*2π)/5959 weeks
66-.18246 -.34249 (66*2π)/5959 weeks
67-.37707 -.38307 (67*2π)/5959 weeks
68.08705 -.32611 (68*2π)/5959 weeks
69-.12917 -.44721 (69*2π)/5959 weeks
70-.03467 -.06285 (70*2π)/5959 weeks
71.17385 -.17228 (71*2π)/5958 weeks
72-.02787 -.59674 (72*2π)/5958 weeks
73-.41069 -.21299 (73*2π)/5958 weeks
74.03597 -.43884 (74*2π)/5958 weeks
75-.07854 -.37274 (75*2π)/5958 weeks
76-.02016 -.50396 (76*2π)/5958 weeks
77.00478 -.17313 (77*2π)/5958 weeks
78-.21502 .01227 (78*2π)/5958 weeks
79-.04504 -.0995 (79*2π)/5958 weeks
80-.21975 -.48426 (80*2π)/5957 weeks
81.02636 -.35693 (81*2π)/5957 weeks
82-.27499 -.19038 (82*2π)/5957 weeks
83.06719 -.48347 (83*2π)/5957 weeks
84-.26829 -.27968 (84*2π)/5957 weeks
85-.22454 -.44845 (85*2π)/5957 weeks
86.10542 -.2341 (86*2π)/5957 weeks
87-.12313 -.37178 (87*2π)/5957 weeks
88-.2412 -.22232 (88*2π)/5957 weeks
89-.37752 -.32043 (89*2π)/5957 weeks
90-.23249 -.13361 (90*2π)/5957 weeks
91-.179 -.26998 (91*2π)/5957 weeks
92-.11576 -.09108 (92*2π)/5956 weeks
93-.28421 -.07761 (93*2π)/5956 weeks
94-.19261 -.17253 (94*2π)/5956 weeks
95-.01878 -.43825 (95*2π)/5956 weeks
96-.12325 -.42084 (96*2π)/5956 weeks
97-.26525 -.26545 (97*2π)/5956 weeks
98-.2474 -.09628 (98*2π)/5956 weeks
99-.20419 -.07688 (99*2π)/5956 weeks
100-.07328 -.06708 (100*2π)/5956 weeks
101-.05886 -.0482 (101*2π)/5956 weeks
102-.07996 -.1958 (102*2π)/5956 weeks
103.01663 -.13508 (103*2π)/5956 weeks
104-.06366 -.33284 (104*2π)/5956 weeks
105-.10053 -.3437 (105*2π)/5956 weeks
106-.05535 -.29212 (106*2π)/5956 weeks
107-.03773 -.1536 (107*2π)/5956 weeks
108-.04501 -.01405 (108*2π)/5956 weeks
109.0031 -.14778 (109*2π)/5955 weeks
110-.04547 -.30386 (110*2π)/5955 weeks
111-.14866 -.27941 (111*2π)/5955 weeks
112-.21988 -.13637 (112*2π)/5955 weeks
113-.21544 -.21632 (113*2π)/5955 weeks
114-.34281 -.1698 (114*2π)/5955 weeks
115.00343 -.24083 (115*2π)/5955 weeks
116-.06515 -.3704 (116*2π)/5955 weeks
117-.13169 -.26263 (117*2π)/5955 weeks
118-.33621 -.10061 (118*2π)/5955 weeks
119-.17675 -.09535 (119*2π)/5955 weeks
120.0102 -.16198 (120*2π)/5955 weeks
121-.02543 -.11913 (121*2π)/5955 weeks
122-.13821 -.14568 (122*2π)/5955 weeks
123-.15339 -.04602 (123*2π)/5955 weeks
124-.29353 -.2309 (124*2π)/5955 weeks
125-.11527 -.10295 (125*2π)/5955 weeks
126-.01333 -.10607 (126*2π)/5955 weeks
127-.00769 -.21811 (127*2π)/5955 weeks
128-.12438 -.16257 (128*2π)/5955 weeks
129-.30607 -.26088 (129*2π)/5955 weeks
130-.3329 -.16179 (130*2π)/5955 weeks
131-.13261 -.07194 (131*2π)/5955 weeks
132-.15698 -.13356 (132*2π)/5955 weeks
133-.22775 -.15369 (133*2π)/5954 weeks
134-.00961 -.25064 (134*2π)/5954 weeks
135-.24455 -.23248 (135*2π)/5954 weeks
136-.29562 -.10248 (136*2π)/5954 weeks
137-.20187 -.02806 (137*2π)/5954 weeks
138-.108 -.06055 (138*2π)/5954 weeks
139-.164 -.16853 (139*2π)/5954 weeks
140-.15155 -.17413 (140*2π)/5954 weeks
141.00527 -.12343 (141*2π)/5954 weeks
142-.14554 -.21041 (142*2π)/5954 weeks
143-.24881 -.11072 (143*2π)/5954 weeks
144-.20963 .14687 (144*2π)/5954 weeks
145-.13481 .07734 (145*2π)/5954 weeks
146-.01411 -.14116 (146*2π)/5954 weeks
147-.20994 -.28037 (147*2π)/5954 weeks
148-.13827 -.14165 (148*2π)/5954 weeks
149-.10777 .02661 (149*2π)/5954 weeks
150-.01009 -.12594 (150*2π)/5954 weeks
151.01533 -.08475 (151*2π)/5954 weeks
152-.08739 -.2563 (152*2π)/5954 weeks
153-.29547 -.11948 (153*2π)/5954 weeks
154-.26544 -.22579 (154*2π)/5954 weeks
155-.25149 -.02823 (155*2π)/5954 weeks
156-.26346 .08126 (156*2π)/5954 weeks
157-.02894 -.07111 (157*2π)/5954 weeks
158-.07957 -.09547 (158*2π)/5954 weeks
159-.10945 -.14025 (159*2π)/5954 weeks
160-.18909 -.05392 (160*2π)/5954 weeks
161-.07379 -.1192 (161*2π)/5954 weeks
162-.09465 -.17776 (162*2π)/5954 weeks
163-.08098 -.21384 (163*2π)/5954 weeks
164-.23347 -.11477 (164*2π)/5954 weeks
165-.18439 -.18256 (165*2π)/5954 weeks
166-.22163 -.06954 (166*2π)/5954 weeks
167-.1593 -.04514 (167*2π)/5954 weeks
168-.13401 -.05014 (168*2π)/5954 weeks
169-.04138 -.09469 (169*2π)/5954 weeks
170-.03432 -.12862 (170*2π)/5954 weeks
171-.21637 -.19897 (171*2π)/5953 weeks
172-.03275 -.11025 (172*2π)/5953 weeks
173-.18389 -.07891 (173*2π)/5953 weeks
174-.14395 -.14 (174*2π)/5953 weeks
175-.15229 -.10788 (175*2π)/5953 weeks
176-.24438 -.15426 (176*2π)/5953 weeks
177-.27994 -.10666 (177*2π)/5953 weeks
178-.17819 .03492 (178*2π)/5953 weeks
179-.15611 -.07685 (179*2π)/5953 weeks
180-.20498 -.05839 (180*2π)/5953 weeks
181-.15879 -.17894 (181*2π)/5953 weeks
182-.08434 -.10896 (182*2π)/5953 weeks
183-.09712 -.12404 (183*2π)/5953 weeks
184-.14425 -.05553 (184*2π)/5953 weeks
185-.09896 -.11545 (185*2π)/5953 weeks
186-.17293 -.16631 (186*2π)/5953 weeks
187-.20187 -.0411 (187*2π)/5953 weeks
188-.1633 -.00582 (188*2π)/5953 weeks
189-.15133 -.06381 (189*2π)/5953 weeks
190-.16406 -.15088 (190*2π)/5953 weeks
191-.14763 -.14398 (191*2π)/5953 weeks
192-.14354 -.13331 (192*2π)/5953 weeks
193-.0941 -.05016 (193*2π)/5953 weeks
194-.173 -.01551 (194*2π)/5953 weeks
195-.15131 -.03634 (195*2π)/5953 weeks
196-.12661 -.06405 (196*2π)/5953 weeks
197-.07991 -.1069 (197*2π)/5953 weeks
198-.19863 -.06494 (198*2π)/5953 weeks
199-.12294 .0525 (199*2π)/5953 weeks
200-.10994 -.04576 (200*2π)/5953 weeks
201-.1135 -.05413 (201*2π)/5953 weeks
202-.06747 -.19081 (202*2π)/5953 weeks
203-.14593 -.13212 (203*2π)/5953 weeks
204-.08452 -.06754 (204*2π)/5953 weeks
205.01094 -.07522 (205*2π)/5953 weeks
206-.11606 -.0483 (206*2π)/5953 weeks
207-.15798 -.03041 (207*2π)/5953 weeks
208-.18941 -.07142 (208*2π)/5953 weeks
209-.12147 -.10608 (209*2π)/5953 weeks
210-.18925 -.1638 (210*2π)/5953 weeks
211-.03257 -.22962 (211*2π)/5953 weeks
212-.19997 .00891 (212*2π)/5953 weeks
213-.09237 -.01352 (213*2π)/5953 weeks
214-.2048 -.04461 (214*2π)/5953 weeks
215-.15928 -.02603 (215*2π)/5953 weeks
216-.11784 -.01889 (216*2π)/5953 weeks
217-.14062 -.19085 (217*2π)/5953 weeks
218-.05185 -.04845 (218*2π)/5953 weeks
219-.11488 -.23797 (219*2π)/5953 weeks
220-.09595 -.07864 (220*2π)/5953 weeks
221-.18268 -.10798 (221*2π)/5953 weeks
222-.05985 .01135 (222*2π)/5953 weeks
223-.06922 -.02714 (223*2π)/5953 weeks
224-.16588 -.14577 (224*2π)/5953 weeks
225-.17536 -.08153 (225*2π)/5953 weeks
226-.11058 -.05831 (226*2π)/5953 weeks
227-.16628 -.05172 (227*2π)/5953 weeks
228-.17869 -.13174 (228*2π)/5953 weeks
229-.15243 -.03361 (229*2π)/5953 weeks
230-.17996 .01157 (230*2π)/5953 weeks
231-.06695 .02205 (231*2π)/5953 weeks
232-.23029 -.08763 (232*2π)/5953 weeks
233-.21054 -.05539 (233*2π)/5953 weeks
234-.13209 -.06165 (234*2π)/5953 weeks
235-.09052 .01305 (235*2π)/5953 weeks
236-.1479 .03244 (236*2π)/5953 weeks
237-.11943 -.07721 (237*2π)/5953 weeks
238-.13612 -.01065 (238*2π)/5953 weeks
239-.18668 -.01724 (239*2π)/5952 weeks
240-.03335 -.12569 (240*2π)/5952 weeks
241-.13868 -.0648 (241*2π)/5952 weeks
242-.0903 -.08743 (242*2π)/5952 weeks
243-.04413 -.00309 (243*2π)/5952 weeks
244-.15494 -.05343 (244*2π)/5952 weeks
245-.15627 .0574 (245*2π)/5952 weeks
246-.14076 -.0267 (246*2π)/5952 weeks
247-.10538 .06531 (247*2π)/5952 weeks
248-.17481 -.07677 (248*2π)/5952 weeks
249-.26346 -.09419 (249*2π)/5952 weeks
250-.32396 .01866 (250*2π)/5952 weeks
251-.2003 .06365 (251*2π)/5952 weeks
252-.13078 .04551 (252*2π)/5952 weeks
253-.11108 .00453 (253*2π)/5952 weeks
254-.14686 -.01028 (254*2π)/5952 weeks
255-.05285 -.04068 (255*2π)/5952 weeks
256-.03336 -.029 (256*2π)/5952 weeks
257-.1195 .01082 (257*2π)/5952 weeks
258.00908 .011 (258*2π)/5952 weeks
259-.23355 -.1556 (259*2π)/5952 weeks
260-.15788 -.00411 (260*2π)/5952 weeks
261-.20181 -.0879 (261*2π)/5952 weeks
262-.16917 .03652 (262*2π)/5952 weeks
263-.19343 -.04924 (263*2π)/5952 weeks
264-.14154 .05095 (264*2π)/5952 weeks
265-.16694 .03382 (265*2π)/5952 weeks
266-.08996 .0581 (266*2π)/5952 weeks
267-.06927 .08536 (267*2π)/5952 weeks
268-.11136 -.09973 (268*2π)/5952 weeks
269-.25664 -.04426 (269*2π)/5952 weeks
270-.07579 .04425 (270*2π)/5952 weeks
271-.02787 .00368 (271*2π)/5952 weeks
272-.19821 -.02584 (272*2π)/5952 weeks
273-.16065 .02849 (273*2π)/5952 weeks
274-.08788 -.03259 (274*2π)/5952 weeks
275-.11788 -.16527 (275*2π)/5952 weeks
276-.17699 -.01502 (276*2π)/5952 weeks
277-.06676 .05056 (277*2π)/5952 weeks
278-.20992 .03576 (278*2π)/5952 weeks
279-.16229 -.06224 (279*2π)/5952 weeks
280-.12668 -.00498 (280*2π)/5952 weeks
281-.07667 -.10869 (281*2π)/5952 weeks
282-.11182 -.04858 (282*2π)/5952 weeks
283-.15328 -.08103 (283*2π)/5952 weeks
284-.25754 -.15888 (284*2π)/5952 weeks
285-.2039 .04332 (285*2π)/5952 weeks
286-.17493 -.00234 (286*2π)/5952 weeks
287-.06929 -.01202 (287*2π)/5952 weeks
288-.06524 -.09422 (288*2π)/5952 weeks
289-.16134 -.09076 (289*2π)/5952 weeks
290-.09742 .0114 (290*2π)/5952 weeks
291-.0813 .13112 (291*2π)/5952 weeks
292-.06479 -.00022 (292*2π)/5952 weeks
293-.00283 -.07613 (293*2π)/5952 weeks
294-.14007 -.1195 (294*2π)/5952 weeks
295-.20681 .00675 (295*2π)/5952 weeks
296-.15765 -.01136 (296*2π)/5952 weeks
297-.21909 .08471 (297*2π)/5952 weeks
298-.21909 -.08471 (298*2π)/5952 weeks
299-.15765 .01136 (299*2π)/5952 weeks
300-.20681 -.00675 (300*2π)/5952 weeks
301-.14007 .1195 (301*2π)/5952 weeks
302-.00283 .07613 (302*2π)/5952 weeks
303-.06479 .00022 (303*2π)/5952 weeks
304-.0813 -.13112 (304*2π)/5952 weeks
305-.09742 -.0114 (305*2π)/5952 weeks
306-.16134 .09076 (306*2π)/5952 weeks
307-.06524 .09422 (307*2π)/5952 weeks
308-.06929 .01202 (308*2π)/5952 weeks
309-.17493 .00234 (309*2π)/5952 weeks
310-.2039 -.04332 (310*2π)/5952 weeks
311-.25754 .15888 (311*2π)/5952 weeks
312-.15328 .08103 (312*2π)/5952 weeks
313-.11182 .04858 (313*2π)/5952 weeks
314-.07667 .10869 (314*2π)/5952 weeks
315-.12668 .00498 (315*2π)/5952 weeks
316-.16229 .06224 (316*2π)/5952 weeks
317-.20992 -.03576 (317*2π)/5952 weeks
318-.06676 -.05056 (318*2π)/5952 weeks
319-.17699 .01502 (319*2π)/5952 weeks
320-.11788 .16527 (320*2π)/5952 weeks
321-.08788 .03259 (321*2π)/5952 weeks
322-.16065 -.02849 (322*2π)/5952 weeks
323-.19821 .02584 (323*2π)/5952 weeks
324-.02787 -.00368 (324*2π)/5952 weeks
325-.07579 -.04425 (325*2π)/5952 weeks
326-.25664 .04426 (326*2π)/5952 weeks
327-.11136 .09973 (327*2π)/5952 weeks
328-.06927 -.08536 (328*2π)/5952 weeks
329-.08996 -.0581 (329*2π)/5952 weeks
330-.16694 -.03382 (330*2π)/5952 weeks
331-.14154 -.05095 (331*2π)/5952 weeks
332-.19343 .04924 (332*2π)/5952 weeks
333-.16917 -.03652 (333*2π)/5952 weeks
334-.20181 .0879 (334*2π)/5952 weeks
335-.15788 .00411 (335*2π)/5952 weeks
336-.23355 .1556 (336*2π)/5952 weeks
337.00908 -.011 (337*2π)/5952 weeks
338-.1195 -.01082 (338*2π)/5952 weeks
339-.03336 .029 (339*2π)/5952 weeks
340-.05285 .04068 (340*2π)/5952 weeks
341-.14686 .01028 (341*2π)/5952 weeks
342-.11108 -.00453 (342*2π)/5952 weeks
343-.13078 -.04551 (343*2π)/5952 weeks
344-.2003 -.06365 (344*2π)/5952 weeks
345-.32396 -.01866 (345*2π)/5952 weeks
346-.26346 .09419 (346*2π)/5952 weeks
347-.17481 .07677 (347*2π)/5952 weeks
348-.10538 -.06531 (348*2π)/5952 weeks
349-.14076 .0267 (349*2π)/5952 weeks
350-.15627 -.0574 (350*2π)/5952 weeks
351-.15494 .05343 (351*2π)/5952 weeks
352-.04413 .00309 (352*2π)/5952 weeks
353-.0903 .08743 (353*2π)/5952 weeks
354-.13868 .0648 (354*2π)/5952 weeks
355-.03335 .12569 (355*2π)/5952 weeks
356-.18668 .01724 (356*2π)/5952 weeks
357-.13612 .01065 (357*2π)/5952 weeks
358-.11943 .07721 (358*2π)/5952 weeks
359-.1479 -.03244 (359*2π)/5952 weeks
360-.09052 -.01305 (360*2π)/5952 weeks
361-.13209 .06165 (361*2π)/5952 weeks
362-.21054 .05539 (362*2π)/5952 weeks
363-.23029 .08763 (363*2π)/5952 weeks
364-.06695 -.02205 (364*2π)/5952 weeks
365-.17996 -.01157 (365*2π)/5952 weeks
366-.15243 .03361 (366*2π)/5952 weeks
367-.17869 .13174 (367*2π)/5952 weeks
368-.16628 .05172 (368*2π)/5952 weeks
369-.11058 .05831 (369*2π)/5952 weeks
370-.17536 .08153 (370*2π)/5952 weeks
371-.16588 .14577 (371*2π)/5952 weeks
372-.06922 .02714 (372*2π)/5952 weeks
373-.05985 -.01135 (373*2π)/5952 weeks
374-.18268 .10798 (374*2π)/5952 weeks
375-.09595 .07864 (375*2π)/5952 weeks
376-.11488 .23797 (376*2π)/5952 weeks
377-.05185 .04845 (377*2π)/5952 weeks
378-.14062 .19085 (378*2π)/5952 weeks
379-.11784 .01889 (379*2π)/5952 weeks
380-.15928 .02603 (380*2π)/5952 weeks
381-.2048 .04461 (381*2π)/5952 weeks
382-.09237 .01352 (382*2π)/5952 weeks
383-.19997 -.00891 (383*2π)/5952 weeks
384-.03257 .22962 (384*2π)/5952 weeks
385-.18925 .1638 (385*2π)/5952 weeks
386-.12147 .10608 (386*2π)/5952 weeks
387-.18941 .07142 (387*2π)/5952 weeks
388-.15798 .03041 (388*2π)/5952 weeks
389-.11606 .0483 (389*2π)/5952 weeks
390.01094 .07522 (390*2π)/5952 weeks
391-.08452 .06754 (391*2π)/5952 weeks
392-.14593 .13212 (392*2π)/5952 weeks
393-.06747 .19081 (393*2π)/5952 weeks
394-.1135 .05413 (394*2π)/5952 weeks
395-.10994 .04576 (395*2π)/5952 weeks
396-.12294 -.0525 (396*2π)/5952 weeks
397-.19863 .06494 (397*2π)/5951 weeks
398-.07991 .1069 (398*2π)/5951 weeks
399-.12661 .06405 (399*2π)/5951 weeks
400-.15131 .03634 (400*2π)/5951 weeks
401-.173 .01551 (401*2π)/5951 weeks
402-.0941 .05016 (402*2π)/5951 weeks
403-.14354 .13331 (403*2π)/5951 weeks
404-.14763 .14398 (404*2π)/5951 weeks
405-.16406 .15088 (405*2π)/5951 weeks
406-.15133 .06381 (406*2π)/5951 weeks
407-.1633 .00582 (407*2π)/5951 weeks
408-.20187 .0411 (408*2π)/5951 weeks
409-.17293 .16631 (409*2π)/5951 weeks
410-.09896 .11545 (410*2π)/5951 weeks
411-.14425 .05553 (411*2π)/5951 weeks
412-.09712 .12404 (412*2π)/5951 weeks
413-.08434 .10896 (413*2π)/5951 weeks
414-.15879 .17894 (414*2π)/5951 weeks
415-.20498 .05839 (415*2π)/5951 weeks
416-.15611 .07685 (416*2π)/5951 weeks
417-.17819 -.03492 (417*2π)/5951 weeks
418-.27994 .10666 (418*2π)/5951 weeks
419-.24438 .15426 (419*2π)/5951 weeks
420-.15229 .10788 (420*2π)/5951 weeks
421-.14395 .14 (421*2π)/5951 weeks
422-.18389 .07891 (422*2π)/5951 weeks
423-.03275 .11025 (423*2π)/5951 weeks
424-.21637 .19897 (424*2π)/5951 weeks
425-.03432 .12862 (425*2π)/5951 weeks
426-.04138 .09469 (426*2π)/5951 weeks
427-.13401 .05014 (427*2π)/5951 weeks
428-.1593 .04514 (428*2π)/5951 weeks
429-.22163 .06954 (429*2π)/5951 weeks
430-.18439 .18256 (430*2π)/5951 weeks
431-.23347 .11477 (431*2π)/5951 weeks
432-.08098 .21384 (432*2π)/5951 weeks
433-.09465 .17776 (433*2π)/5951 weeks
434-.07379 .1192 (434*2π)/5951 weeks
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436-.10945 .14025 (436*2π)/5951 weeks
437-.07957 .09547 (437*2π)/5951 weeks
438-.02894 .07111 (438*2π)/5951 weeks
439-.26346 -.08126 (439*2π)/5951 weeks
440-.25149 .02823 (440*2π)/5951 weeks
441-.26544 .22579 (441*2π)/5951 weeks
442-.29547 .11948 (442*2π)/5951 weeks
443-.08739 .2563 (443*2π)/5951 weeks
444.01533 .08475 (444*2π)/5951 weeks
445-.01009 .12594 (445*2π)/5951 weeks
446-.10777 -.02661 (446*2π)/5951 weeks
447-.13827 .14165 (447*2π)/5951 weeks
448-.20994 .28037 (448*2π)/5951 weeks
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450-.13481 -.07734 (450*2π)/5951 weeks
451-.20963 -.14687 (451*2π)/5951 weeks
452-.24881 .11072 (452*2π)/5951 weeks
453-.14554 .21041 (453*2π)/5951 weeks
454.00527 .12343 (454*2π)/5951 weeks
455-.15155 .17413 (455*2π)/5951 weeks
456-.164 .16853 (456*2π)/5951 weeks
457-.108 .06055 (457*2π)/5951 weeks
458-.20187 .02806 (458*2π)/5951 weeks
459-.29562 .10248 (459*2π)/5951 weeks
460-.24455 .23248 (460*2π)/5951 weeks
461-.00961 .25064 (461*2π)/5951 weeks
462-.22775 .15369 (462*2π)/5951 weeks
463-.15698 .13356 (463*2π)/5951 weeks
464-.13261 .07194 (464*2π)/5951 weeks
465-.3329 .16179 (465*2π)/5951 weeks
466-.30607 .26088 (466*2π)/5951 weeks
467-.12438 .16257 (467*2π)/5951 weeks
468-.00769 .21811 (468*2π)/5951 weeks
469-.01333 .10607 (469*2π)/5951 weeks
470-.11527 .10295 (470*2π)/5951 weeks
471-.29353 .2309 (471*2π)/5951 weeks
472-.15339 .04602 (472*2π)/5951 weeks
473-.13821 .14568 (473*2π)/5951 weeks
474-.02543 .11913 (474*2π)/5951 weeks
475.0102 .16198 (475*2π)/5951 weeks
476-.17675 .09535 (476*2π)/5951 weeks
477-.33621 .10061 (477*2π)/5951 weeks
478-.13169 .26263 (478*2π)/5951 weeks
479-.06515 .3704 (479*2π)/5951 weeks
480.00343 .24083 (480*2π)/5951 weeks
481-.34281 .1698 (481*2π)/5951 weeks
482-.21544 .21632 (482*2π)/5951 weeks
483-.21988 .13637 (483*2π)/5951 weeks
484-.14866 .27941 (484*2π)/5951 weeks
485-.04547 .30386 (485*2π)/5951 weeks
486.0031 .14778 (486*2π)/5951 weeks
487-.04501 .01405 (487*2π)/5951 weeks
488-.03773 .1536 (488*2π)/5951 weeks
489-.05535 .29212 (489*2π)/5951 weeks
490-.10053 .3437 (490*2π)/5951 weeks
491-.06366 .33284 (491*2π)/5951 weeks
492.01663 .13508 (492*2π)/5951 weeks
493-.07996 .1958 (493*2π)/5951 weeks
494-.05886 .0482 (494*2π)/5951 weeks
495-.07328 .06708 (495*2π)/5951 weeks
496-.20419 .07688 (496*2π)/5951 weeks
497-.2474 .09628 (497*2π)/5951 weeks
498-.26525 .26545 (498*2π)/5951 weeks
499-.12325 .42084 (499*2π)/5951 weeks
500-.01878 .43825 (500*2π)/5951 weeks
501-.19261 .17253 (501*2π)/5951 weeks
502-.28421 .07761 (502*2π)/5951 weeks
503-.11576 .09108 (503*2π)/5951 weeks
504-.179 .26998 (504*2π)/5951 weeks
505-.23249 .13361 (505*2π)/5951 weeks
506-.37752 .32043 (506*2π)/5951 weeks
507-.2412 .22232 (507*2π)/5951 weeks
508-.12313 .37178 (508*2π)/5951 weeks
509.10542 .2341 (509*2π)/5951 weeks
510-.22454 .44845 (510*2π)/5951 weeks
511-.26829 .27968 (511*2π)/5951 weeks
512.06719 .48347 (512*2π)/5951 weeks
513-.27499 .19038 (513*2π)/5951 weeks
514.02636 .35693 (514*2π)/5951 weeks
515-.21975 .48426 (515*2π)/5951 weeks
516-.04504 .0995 (516*2π)/5951 weeks
517-.21502 -.01227 (517*2π)/5951 weeks
518.00478 .17313 (518*2π)/5951 weeks
519-.02016 .50396 (519*2π)/5951 weeks
520-.07854 .37274 (520*2π)/5951 weeks
521.03597 .43884 (521*2π)/5951 weeks
522-.41069 .21299 (522*2π)/5951 weeks
523-.02787 .59674 (523*2π)/5951 weeks
524.17385 .17228 (524*2π)/5951 weeks
525-.03467 .06285 (525*2π)/5951 weeks
526-.12917 .44721 (526*2π)/5951 weeks
527.08705 .32611 (527*2π)/5951 weeks
528-.37707 .38307 (528*2π)/5951 weeks
529-.18246 .34249 (529*2π)/5951 weeks
530-.2901 .58482 (530*2π)/5951 weeks
531-.10839 .30261 (531*2π)/5951 weeks
532-.25385 .28164 (532*2π)/5951 weeks
533-.14688 .56987 (533*2π)/5951 weeks
534.37994 .51042 (534*2π)/5951 weeks
535-.24669 .26985 (535*2π)/5951 weeks
536-.26255 .0809 (536*2π)/5951 weeks
537-.32311 .26473 (537*2π)/5951 weeks
538-.30281 .12597 (538*2π)/5951 weeks
539-.1292 .38529 (539*2π)/5951 weeks
540-.33565 .25125 (540*2π)/5951 weeks
541-.08981 .66824 (541*2π)/5951 weeks
542.05779 .4067 (542*2π)/5951 weeks
543-.43094 .45523 (543*2π)/5951 weeks
544-.27744 1.24987 (544*2π)/5951 weeks
545-.09756 .70926 (545*2π)/5951 weeks
546-.23993 .45261 (546*2π)/5951 weeks
547-.25408 .53237 (547*2π)/5951 weeks
548.17787 .67122 (548*2π)/5951 weeks
549-.1106 .42899 (549*2π)/5951 weeks
550-.14961 .44914 (550*2π)/5951 weeks
551-.69851 .81843 (551*2π)/5951 weeks
552-.17426 .53988 (552*2π)/5951 weeks
553-.14134 .65046 (553*2π)/5951 weeks
554-.31045 .85216 (554*2π)/5951 weeks
555-.14608 1.07996 (555*2π)/5951 weeks
556-.41644 .65981 (556*2π)/5951 weeks
557-.36211 .82176 (557*2π)/5951 weeks
558-.16854 .41207 (558*2π)/5951 weeks
559.58724 1.02967 (559*2π)/5951 weeks
560.3648 1.33236 (560*2π)/5951 weeks
561.19328 .70069 (561*2π)/5951 weeks
562-.45333 .2603 (562*2π)/5951 weeks
563-.3621 .69554 (563*2π)/5951 weeks
564-.11699 1.48398 (564*2π)/5951 weeks
565.08106 1.42968 (565*2π)/5951 weeks
566.1094 1.73257 (566*2π)/5951 weeks
567.42077 .49367 (567*2π)/5951 weeks
568.39029 .52994 (568*2π)/5951 weeks
569.14211 .39223 (569*2π)/5951 weeks
570-.10258 1.25143 (570*2π)/5951 weeks
571.56426 1.18997 (571*2π)/5951 weeks
572.17023 1.10058 (572*2π)/5951 weeks
573-.00723 1.01427 (573*2π)/5951 weeks
574-.28858 1.19473 (574*2π)/5951 weeks
575-.57089 1.82629 (575*2π)/5951 weeks
576-1.06043 1.23571 (576*2π)/5951 weeks
577.41729 1.91934 (577*2π)/5951 weeks
578.66126 1.35285 (578*2π)/5951 weeks
579.76998 1.66111 (579*2π)/5951 weeks
580.04325 1.92455 (580*2π)/5951 weeks
581.05163 1.66368 (581*2π)/5951 weeks
582-.98745 .69291 (582*2π)/5951 weeks
583.69222 .73042 (583*2π)/5951 weeks
584-.61318 3.12072 (584*2π)/5951 weeks
5851.26053 3.26047 (585*2π)/5951 weeks
586-.19101 3.88685 (586*2π)/5951 weeks
587-1.44186 .90867 (587*2π)/5951 weeks
588-.75939 2.73026 (588*2π)/5951 weeks
589-.93451 6.26187 (589*2π)/5951 weeks
590.22054 7.3815 (590*2π)/5951 weeks
591-.89282 7.83214 (591*2π)/5951 weeks
5923.89987 1.16892 (592*2π)/5951 weeks
5933.93525 6.44448 (593*2π)/5951 weeks



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