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Fourier Analysis of MIDU (Direxion Daily Mid Cap Bull 3x Shares ETF)


MIDU (Direxion Daily Mid Cap Bull 3x Shares ETF) appears to have interesting cyclic behaviour every 45 weeks (1.4699*sine), 41 weeks (.9933*sine), and 45 weeks (.4805*cosine).

MIDU (Direxion Daily Mid Cap Bull 3x Shares ETF) has an average price of 14.97 (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 1/8/2009 to 7/17/2017 for MIDU (Direxion Daily Mid Cap Bull 3x Shares ETF), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
014.97454   0 
11.84243 -10.73753 (1*2π)/446446 weeks
2-.03553 -2.67165 (2*2π)/446223 weeks
31.84767 -4.20263 (3*2π)/446149 weeks
41.32178 -3.50812 (4*2π)/446112 weeks
5-.31709 -3.14443 (5*2π)/44689 weeks
6-1.04002 -2.08202 (6*2π)/44674 weeks
7.0729 -1.60892 (7*2π)/44664 weeks
8.82273 -1.49052 (8*2π)/44656 weeks
9-.40197 -1.43827 (9*2π)/44650 weeks
10-.48045 -1.46987 (10*2π)/44645 weeks
11-.14704 -.99335 (11*2π)/44641 weeks
12-.26672 -.92092 (12*2π)/44637 weeks
13-.33729 -.70558 (13*2π)/44634 weeks
14.34071 -.40047 (14*2π)/44632 weeks
15.1248 -.52223 (15*2π)/44630 weeks
16.1321 -.76871 (16*2π)/44628 weeks
17.0233 -.82684 (17*2π)/44626 weeks
18-.16223 -.80375 (18*2π)/44625 weeks
19.10955 -.43087 (19*2π)/44623 weeks
20.1608 -.79997 (20*2π)/44622 weeks
21.10422 -.91261 (21*2π)/44621 weeks
22-.34913 -.60723 (22*2π)/44620 weeks
23-.37601 -.58653 (23*2π)/44619 weeks
24-.24499 -.25635 (24*2π)/44619 weeks
25.16174 -.18818 (25*2π)/44618 weeks
26.15699 -.58903 (26*2π)/44617 weeks
27.03229 -.59397 (27*2π)/44617 weeks
28-.03005 -.38535 (28*2π)/44616 weeks
29-.15777 -.36203 (29*2π)/44615 weeks
30-.00624 -.43174 (30*2π)/44615 weeks
31-.20134 -.40496 (31*2π)/44614 weeks
32-.13534 -.33604 (32*2π)/44614 weeks
33-.12846 -.55572 (33*2π)/44614 weeks
34-.18165 -.25368 (34*2π)/44613 weeks
35-.13089 -.08419 (35*2π)/44613 weeks
36-.04824 -.30983 (36*2π)/44612 weeks
37-.1559 -.21094 (37*2π)/44612 weeks
38.05498 -.01269 (38*2π)/44612 weeks
39.02801 -.48385 (39*2π)/44611 weeks
40-.14689 -.23123 (40*2π)/44611 weeks
41.10113 -.27127 (41*2π)/44611 weeks
42-.06156 -.24114 (42*2π)/44611 weeks
43-.03878 -.3245 (43*2π)/44610 weeks
44.0324 -.34209 (44*2π)/44610 weeks
45-.01692 -.36351 (45*2π)/44610 weeks
46-.34635 -.28443 (46*2π)/44610 weeks
47-.08374 -.15567 (47*2π)/4469 weeks
48-.0971 -.28384 (48*2π)/4469 weeks
49-.15943 -.11391 (49*2π)/4469 weeks
50-.15415 -.12906 (50*2π)/4469 weeks
51-.01063 -.25458 (51*2π)/4469 weeks
52-.12624 -.10862 (52*2π)/4469 weeks
53.08135 -.20424 (53*2π)/4468 weeks
54-.12643 -.39857 (54*2π)/4468 weeks
55-.08992 -.06724 (55*2π)/4468 weeks
56-.10724 -.22339 (56*2π)/4468 weeks
57-.10526 -.27276 (57*2π)/4468 weeks
58-.13505 -.20026 (58*2π)/4468 weeks
59-.1048 -.05785 (59*2π)/4468 weeks
60-.01661 -.22212 (60*2π)/4467 weeks
61-.00165 -.18816 (61*2π)/4467 weeks
62-.06412 -.02133 (62*2π)/4467 weeks
63-.07934 -.20111 (63*2π)/4467 weeks
64-.10894 -.22955 (64*2π)/4467 weeks
65.00175 -.08233 (65*2π)/4467 weeks
66-.01864 -.16436 (66*2π)/4467 weeks
67.00374 -.23701 (67*2π)/4467 weeks
68-.07958 -.16635 (68*2π)/4467 weeks
69-.08619 -.1855 (69*2π)/4466 weeks
70-.08252 -.22196 (70*2π)/4466 weeks
71-.19051 -.18168 (71*2π)/4466 weeks
72-.10794 -.05563 (72*2π)/4466 weeks
73.00556 -.08156 (73*2π)/4466 weeks
74.00606 -.15002 (74*2π)/4466 weeks
75-.01604 -.2017 (75*2π)/4466 weeks
76-.03919 -.22835 (76*2π)/4466 weeks
77-.01037 -.20464 (77*2π)/4466 weeks
78-.11537 -.20551 (78*2π)/4466 weeks
79-.11026 -.1527 (79*2π)/4466 weeks
80-.09771 -.12392 (80*2π)/4466 weeks
81-.03906 -.09704 (81*2π)/4466 weeks
82-.01727 -.19127 (82*2π)/4465 weeks
83-.10355 -.2115 (83*2π)/4465 weeks
84-.12138 -.14748 (84*2π)/4465 weeks
85-.13041 -.17965 (85*2π)/4465 weeks
86-.08474 -.04019 (86*2π)/4465 weeks
87-.03622 -.16974 (87*2π)/4465 weeks
88-.09497 -.22008 (88*2π)/4465 weeks
89-.17435 -.12334 (89*2π)/4465 weeks
90-.10288 -.05753 (90*2π)/4465 weeks
91-.08834 -.08008 (91*2π)/4465 weeks
92-.1202 -.12833 (92*2π)/4465 weeks
93-.05637 -.13554 (93*2π)/4465 weeks
94-.14746 -.10716 (94*2π)/4465 weeks
95-.14237 -.02541 (95*2π)/4465 weeks
96-.09933 -.04529 (96*2π)/4465 weeks
97-.00649 -.07418 (97*2π)/4465 weeks
98-.06112 -.1647 (98*2π)/4465 weeks
99-.10362 -.10259 (99*2π)/4465 weeks
100-.08281 -.14566 (100*2π)/4464 weeks
101-.11497 -.00419 (101*2π)/4464 weeks
102-.01722 -.03546 (102*2π)/4464 weeks
103-.0335 -.11766 (103*2π)/4464 weeks
104-.09764 -.10604 (104*2π)/4464 weeks
105-.07538 -.07404 (105*2π)/4464 weeks
106-.11669 -.16076 (106*2π)/4464 weeks
107-.14929 -.05416 (107*2π)/4464 weeks
108-.02687 .01946 (108*2π)/4464 weeks
109.02294 -.07645 (109*2π)/4464 weeks
110-.09054 -.17738 (110*2π)/4464 weeks
111-.09614 -.07838 (111*2π)/4464 weeks
112-.01718 -.02395 (112*2π)/4464 weeks
113-.01854 -.06782 (113*2π)/4464 weeks
114-.00907 -.17396 (114*2π)/4464 weeks
115-.10047 -.11376 (115*2π)/4464 weeks
116-.15781 -.14151 (116*2π)/4464 weeks
117-.20999 -.08173 (117*2π)/4464 weeks
118-.09173 -.03838 (118*2π)/4464 weeks
119-.07014 -.05486 (119*2π)/4464 weeks
120-.11504 -.09246 (120*2π)/4464 weeks
121-.1002 -.02345 (121*2π)/4464 weeks
122-.06966 -.01648 (122*2π)/4464 weeks
123-.03636 -.09313 (123*2π)/4464 weeks
124-.01891 -.08234 (124*2π)/4464 weeks
125-.06364 -.11913 (125*2π)/4464 weeks
126-.08561 -.12003 (126*2π)/4464 weeks
127-.12352 -.08456 (127*2π)/4464 weeks
128-.11405 -.00459 (128*2π)/4463 weeks
129-.12434 -.08561 (129*2π)/4463 weeks
130-.0933 -.08136 (130*2π)/4463 weeks
131-.09087 -.06133 (131*2π)/4463 weeks
132-.11194 -.01175 (132*2π)/4463 weeks
133-.04644 .0098 (133*2π)/4463 weeks
134-.04966 -.0823 (134*2π)/4463 weeks
135-.04931 -.04709 (135*2π)/4463 weeks
136-.07685 -.04784 (136*2π)/4463 weeks
137-.0728 -.07483 (137*2π)/4463 weeks
138-.06726 -.04444 (138*2π)/4463 weeks
139-.06261 -.10133 (139*2π)/4463 weeks
140-.13141 -.06196 (140*2π)/4463 weeks
141-.08539 -.03358 (141*2π)/4463 weeks
142-.06337 -.04898 (142*2π)/4463 weeks
143-.0862 -.0667 (143*2π)/4463 weeks
144-.0856 -.0834 (144*2π)/4463 weeks
145-.08114 -.06575 (145*2π)/4463 weeks
146-.10814 -.05402 (146*2π)/4463 weeks
147-.09979 -.03387 (147*2π)/4463 weeks
148-.04178 -.0453 (148*2π)/4463 weeks
149-.11919 -.09323 (149*2π)/4463 weeks
150-.11304 -.03871 (150*2π)/4463 weeks
151-.12828 -.02423 (151*2π)/4463 weeks
152-.04929 -.02325 (152*2π)/4463 weeks
153-.08549 -.07095 (153*2π)/4463 weeks
154-.1095 -.01341 (154*2π)/4463 weeks
155-.07998 -.02277 (155*2π)/4463 weeks
156-.08272 -.03226 (156*2π)/4463 weeks
157-.12273 -.02743 (157*2π)/4463 weeks
158-.12246 -.0415 (158*2π)/4463 weeks
159-.01796 .00772 (159*2π)/4463 weeks
160-.07815 -.03592 (160*2π)/4463 weeks
161-.04144 -.02287 (161*2π)/4463 weeks
162-.02799 -.06012 (162*2π)/4463 weeks
163-.07454 -.01227 (163*2π)/4463 weeks
164-.0962 -.105 (164*2π)/4463 weeks
165-.08129 -.04389 (165*2π)/4463 weeks
166-.0977 .01464 (166*2π)/4463 weeks
167-.04873 -.0222 (167*2π)/4463 weeks
168-.09862 -.08546 (168*2π)/4463 weeks
169-.10142 -.02817 (169*2π)/4463 weeks
170-.08618 -.04467 (170*2π)/4463 weeks
171-.0808 -.07437 (171*2π)/4463 weeks
172-.10494 -.04856 (172*2π)/4463 weeks
173-.11367 .01705 (173*2π)/4463 weeks
174-.06287 -.06035 (174*2π)/4463 weeks
175-.107 -.04645 (175*2π)/4463 weeks
176-.11224 -.04208 (176*2π)/4463 weeks
177-.11623 -.04235 (177*2π)/4463 weeks
178-.07467 -.02943 (178*2π)/4463 weeks
179-.08402 -.03309 (179*2π)/4462 weeks
180-.11483 .03123 (180*2π)/4462 weeks
181-.09056 -.02129 (181*2π)/4462 weeks
182-.10077 -.03819 (182*2π)/4462 weeks
183-.07296 .01566 (183*2π)/4462 weeks
184-.08527 -.02941 (184*2π)/4462 weeks
185-.06605 -.03839 (185*2π)/4462 weeks
186-.12752 .01218 (186*2π)/4462 weeks
187-.08228 .07614 (187*2π)/4462 weeks
188-.00923 .01422 (188*2π)/4462 weeks
189-.03172 -.03661 (189*2π)/4462 weeks
190-.06082 -.03657 (190*2π)/4462 weeks
191-.03916 -.03799 (191*2π)/4462 weeks
192-.06572 -.04991 (192*2π)/4462 weeks
193-.03125 -.01853 (193*2π)/4462 weeks
194-.11039 -.11858 (194*2π)/4462 weeks
195-.09622 -.02597 (195*2π)/4462 weeks
196-.13104 -.03331 (196*2π)/4462 weeks
197-.09416 -.03889 (197*2π)/4462 weeks
198-.11206 .00027 (198*2π)/4462 weeks
199-.1199 .01674 (199*2π)/4462 weeks
200-.10043 .04225 (200*2π)/4462 weeks
201-.01198 -.0153 (201*2π)/4462 weeks
202-.13239 -.04817 (202*2π)/4462 weeks
203-.09484 .03455 (203*2π)/4462 weeks
204-.04977 -.03859 (204*2π)/4462 weeks
205-.11411 -.01539 (205*2π)/4462 weeks
206-.05591 .0476 (206*2π)/4462 weeks
207-.04201 -.04084 (207*2π)/4462 weeks
208-.08583 .00845 (208*2π)/4462 weeks
209-.09543 -.00455 (209*2π)/4462 weeks
210-.09969 -.03764 (210*2π)/4462 weeks
211-.09079 .01285 (211*2π)/4462 weeks
212-.10339 .02377 (212*2π)/4462 weeks
213-.0598 .08164 (213*2π)/4462 weeks
214-.03594 -.0065 (214*2π)/4462 weeks
215-.04415 -.04394 (215*2π)/4462 weeks
216-.10416 -.03422 (216*2π)/4462 weeks
217-.06189 .02879 (217*2π)/4462 weeks
218-.02655 .02073 (218*2π)/4462 weeks
219-.04524 -.04228 (219*2π)/4462 weeks
220-.10794 -.08749 (220*2π)/4462 weeks
221-.14119 -.00261 (221*2π)/4462 weeks
222-.1112 -.01843 (222*2π)/4462 weeks
223-.07164   (223*2π)/4462 weeks
224-.1112 .01843 (224*2π)/4462 weeks
225-.14119 .00261 (225*2π)/4462 weeks
226-.10794 .08749 (226*2π)/4462 weeks
227-.04524 .04228 (227*2π)/4462 weeks
228-.02655 -.02073 (228*2π)/4462 weeks
229-.06189 -.02879 (229*2π)/4462 weeks
230-.10416 .03422 (230*2π)/4462 weeks
231-.04415 .04394 (231*2π)/4462 weeks
232-.03594 .0065 (232*2π)/4462 weeks
233-.0598 -.08164 (233*2π)/4462 weeks
234-.10339 -.02377 (234*2π)/4462 weeks
235-.09079 -.01285 (235*2π)/4462 weeks
236-.09969 .03764 (236*2π)/4462 weeks
237-.09543 .00455 (237*2π)/4462 weeks
238-.08583 -.00845 (238*2π)/4462 weeks
239-.04201 .04084 (239*2π)/4462 weeks
240-.05591 -.0476 (240*2π)/4462 weeks
241-.11411 .01539 (241*2π)/4462 weeks
242-.04977 .03859 (242*2π)/4462 weeks
243-.09484 -.03455 (243*2π)/4462 weeks
244-.13239 .04817 (244*2π)/4462 weeks
245-.01198 .0153 (245*2π)/4462 weeks
246-.10043 -.04225 (246*2π)/4462 weeks
247-.1199 -.01674 (247*2π)/4462 weeks
248-.11206 -.00027 (248*2π)/4462 weeks
249-.09416 .03889 (249*2π)/4462 weeks
250-.13104 .03331 (250*2π)/4462 weeks
251-.09622 .02597 (251*2π)/4462 weeks
252-.11039 .11858 (252*2π)/4462 weeks
253-.03125 .01853 (253*2π)/4462 weeks
254-.06572 .04991 (254*2π)/4462 weeks
255-.03916 .03799 (255*2π)/4462 weeks
256-.06082 .03657 (256*2π)/4462 weeks
257-.03172 .03661 (257*2π)/4462 weeks
258-.00923 -.01422 (258*2π)/4462 weeks
259-.08228 -.07614 (259*2π)/4462 weeks
260-.12752 -.01218 (260*2π)/4462 weeks
261-.06605 .03839 (261*2π)/4462 weeks
262-.08527 .02941 (262*2π)/4462 weeks
263-.07296 -.01566 (263*2π)/4462 weeks
264-.10077 .03819 (264*2π)/4462 weeks
265-.09056 .02129 (265*2π)/4462 weeks
266-.11483 -.03123 (266*2π)/4462 weeks
267-.08402 .03309 (267*2π)/4462 weeks
268-.07467 .02943 (268*2π)/4462 weeks
269-.11623 .04235 (269*2π)/4462 weeks
270-.11224 .04208 (270*2π)/4462 weeks
271-.107 .04645 (271*2π)/4462 weeks
272-.06287 .06035 (272*2π)/4462 weeks
273-.11367 -.01705 (273*2π)/4462 weeks
274-.10494 .04856 (274*2π)/4462 weeks
275-.0808 .07437 (275*2π)/4462 weeks
276-.08618 .04467 (276*2π)/4462 weeks
277-.10142 .02817 (277*2π)/4462 weeks
278-.09862 .08546 (278*2π)/4462 weeks
279-.04873 .0222 (279*2π)/4462 weeks
280-.0977 -.01464 (280*2π)/4462 weeks
281-.08129 .04389 (281*2π)/4462 weeks
282-.0962 .105 (282*2π)/4462 weeks
283-.07454 .01227 (283*2π)/4462 weeks
284-.02799 .06012 (284*2π)/4462 weeks
285-.04144 .02287 (285*2π)/4462 weeks
286-.07815 .03592 (286*2π)/4462 weeks
287-.01796 -.00772 (287*2π)/4462 weeks
288-.12246 .0415 (288*2π)/4462 weeks
289-.12273 .02743 (289*2π)/4462 weeks
290-.08272 .03226 (290*2π)/4462 weeks
291-.07998 .02277 (291*2π)/4462 weeks
292-.1095 .01341 (292*2π)/4462 weeks
293-.08549 .07095 (293*2π)/4462 weeks
294-.04929 .02325 (294*2π)/4462 weeks
295-.12828 .02423 (295*2π)/4462 weeks
296-.11304 .03871 (296*2π)/4462 weeks
297-.11919 .09323 (297*2π)/4462 weeks
298-.04178 .0453 (298*2π)/4461 weeks
299-.09979 .03387 (299*2π)/4461 weeks
300-.10814 .05402 (300*2π)/4461 weeks
301-.08114 .06575 (301*2π)/4461 weeks
302-.0856 .0834 (302*2π)/4461 weeks
303-.0862 .0667 (303*2π)/4461 weeks
304-.06337 .04898 (304*2π)/4461 weeks
305-.08539 .03358 (305*2π)/4461 weeks
306-.13141 .06196 (306*2π)/4461 weeks
307-.06261 .10133 (307*2π)/4461 weeks
308-.06726 .04444 (308*2π)/4461 weeks
309-.0728 .07483 (309*2π)/4461 weeks
310-.07685 .04784 (310*2π)/4461 weeks
311-.04931 .04709 (311*2π)/4461 weeks
312-.04966 .0823 (312*2π)/4461 weeks
313-.04644 -.0098 (313*2π)/4461 weeks
314-.11194 .01175 (314*2π)/4461 weeks
315-.09087 .06133 (315*2π)/4461 weeks
316-.0933 .08136 (316*2π)/4461 weeks
317-.12434 .08561 (317*2π)/4461 weeks
318-.11405 .00459 (318*2π)/4461 weeks
319-.12352 .08456 (319*2π)/4461 weeks
320-.08561 .12003 (320*2π)/4461 weeks
321-.06364 .11913 (321*2π)/4461 weeks
322-.01891 .08234 (322*2π)/4461 weeks
323-.03636 .09313 (323*2π)/4461 weeks
324-.06966 .01648 (324*2π)/4461 weeks
325-.1002 .02345 (325*2π)/4461 weeks
326-.11504 .09246 (326*2π)/4461 weeks
327-.07014 .05486 (327*2π)/4461 weeks
328-.09173 .03838 (328*2π)/4461 weeks
329-.20999 .08173 (329*2π)/4461 weeks
330-.15781 .14151 (330*2π)/4461 weeks
331-.10047 .11376 (331*2π)/4461 weeks
332-.00907 .17396 (332*2π)/4461 weeks
333-.01854 .06782 (333*2π)/4461 weeks
334-.01718 .02395 (334*2π)/4461 weeks
335-.09614 .07838 (335*2π)/4461 weeks
336-.09054 .17738 (336*2π)/4461 weeks
337.02294 .07645 (337*2π)/4461 weeks
338-.02687 -.01946 (338*2π)/4461 weeks
339-.14929 .05416 (339*2π)/4461 weeks
340-.11669 .16076 (340*2π)/4461 weeks
341-.07538 .07404 (341*2π)/4461 weeks
342-.09764 .10604 (342*2π)/4461 weeks
343-.0335 .11766 (343*2π)/4461 weeks
344-.01722 .03546 (344*2π)/4461 weeks
345-.11497 .00419 (345*2π)/4461 weeks
346-.08281 .14566 (346*2π)/4461 weeks
347-.10362 .10259 (347*2π)/4461 weeks
348-.06112 .1647 (348*2π)/4461 weeks
349-.00649 .07418 (349*2π)/4461 weeks
350-.09933 .04529 (350*2π)/4461 weeks
351-.14237 .02541 (351*2π)/4461 weeks
352-.14746 .10716 (352*2π)/4461 weeks
353-.05637 .13554 (353*2π)/4461 weeks
354-.1202 .12833 (354*2π)/4461 weeks
355-.08834 .08008 (355*2π)/4461 weeks
356-.10288 .05753 (356*2π)/4461 weeks
357-.17435 .12334 (357*2π)/4461 weeks
358-.09497 .22008 (358*2π)/4461 weeks
359-.03622 .16974 (359*2π)/4461 weeks
360-.08474 .04019 (360*2π)/4461 weeks
361-.13041 .17965 (361*2π)/4461 weeks
362-.12138 .14748 (362*2π)/4461 weeks
363-.10355 .2115 (363*2π)/4461 weeks
364-.01727 .19127 (364*2π)/4461 weeks
365-.03906 .09704 (365*2π)/4461 weeks
366-.09771 .12392 (366*2π)/4461 weeks
367-.11026 .1527 (367*2π)/4461 weeks
368-.11537 .20551 (368*2π)/4461 weeks
369-.01037 .20464 (369*2π)/4461 weeks
370-.03919 .22835 (370*2π)/4461 weeks
371-.01604 .2017 (371*2π)/4461 weeks
372.00606 .15002 (372*2π)/4461 weeks
373.00556 .08156 (373*2π)/4461 weeks
374-.10794 .05563 (374*2π)/4461 weeks
375-.19051 .18168 (375*2π)/4461 weeks
376-.08252 .22196 (376*2π)/4461 weeks
377-.08619 .1855 (377*2π)/4461 weeks
378-.07958 .16635 (378*2π)/4461 weeks
379.00374 .23701 (379*2π)/4461 weeks
380-.01864 .16436 (380*2π)/4461 weeks
381.00175 .08233 (381*2π)/4461 weeks
382-.10894 .22955 (382*2π)/4461 weeks
383-.07934 .20111 (383*2π)/4461 weeks
384-.06412 .02133 (384*2π)/4461 weeks
385-.00165 .18816 (385*2π)/4461 weeks
386-.01661 .22212 (386*2π)/4461 weeks
387-.1048 .05785 (387*2π)/4461 weeks
388-.13505 .20026 (388*2π)/4461 weeks
389-.10526 .27276 (389*2π)/4461 weeks
390-.10724 .22339 (390*2π)/4461 weeks
391-.08992 .06724 (391*2π)/4461 weeks
392-.12643 .39857 (392*2π)/4461 weeks
393.08135 .20424 (393*2π)/4461 weeks
394-.12624 .10862 (394*2π)/4461 weeks
395-.01063 .25458 (395*2π)/4461 weeks
396-.15415 .12906 (396*2π)/4461 weeks
397-.15943 .11391 (397*2π)/4461 weeks
398-.0971 .28384 (398*2π)/4461 weeks
399-.08374 .15567 (399*2π)/4461 weeks
400-.34635 .28443 (400*2π)/4461 weeks
401-.01692 .36351 (401*2π)/4461 weeks
402.0324 .34209 (402*2π)/4461 weeks
403-.03878 .3245 (403*2π)/4461 weeks
404-.06156 .24114 (404*2π)/4461 weeks
405.10113 .27127 (405*2π)/4461 weeks
406-.14689 .23123 (406*2π)/4461 weeks
407.02801 .48385 (407*2π)/4461 weeks
408.05498 .01269 (408*2π)/4461 weeks
409-.1559 .21094 (409*2π)/4461 weeks
410-.04824 .30983 (410*2π)/4461 weeks
411-.13089 .08419 (411*2π)/4461 weeks
412-.18165 .25368 (412*2π)/4461 weeks
413-.12846 .55572 (413*2π)/4461 weeks
414-.13534 .33604 (414*2π)/4461 weeks
415-.20134 .40496 (415*2π)/4461 weeks
416-.00624 .43174 (416*2π)/4461 weeks
417-.15777 .36203 (417*2π)/4461 weeks
418-.03005 .38535 (418*2π)/4461 weeks
419.03229 .59397 (419*2π)/4461 weeks
420.15699 .58903 (420*2π)/4461 weeks
421.16174 .18818 (421*2π)/4461 weeks
422-.24499 .25635 (422*2π)/4461 weeks
423-.37601 .58653 (423*2π)/4461 weeks
424-.34913 .60723 (424*2π)/4461 weeks
425.10422 .91261 (425*2π)/4461 weeks
426.1608 .79997 (426*2π)/4461 weeks
427.10955 .43087 (427*2π)/4461 weeks
428-.16223 .80375 (428*2π)/4461 weeks
429.0233 .82684 (429*2π)/4461 weeks
430.1321 .76871 (430*2π)/4461 weeks
431.1248 .52223 (431*2π)/4461 weeks
432.34071 .40047 (432*2π)/4461 weeks
433-.33729 .70558 (433*2π)/4461 weeks
434-.26672 .92092 (434*2π)/4461 weeks
435-.14704 .99335 (435*2π)/4461 weeks
436-.48045 1.46987 (436*2π)/4461 weeks
437-.40197 1.43827 (437*2π)/4461 weeks
438.82273 1.49052 (438*2π)/4461 weeks
439.0729 1.60892 (439*2π)/4461 weeks
440-1.04002 2.08202 (440*2π)/4461 weeks
441-.31709 3.14443 (441*2π)/4461 weeks
4421.32178 3.50812 (442*2π)/4461 weeks
4431.84767 4.20263 (443*2π)/4461 weeks
444-.03553 2.67165 (444*2π)/4461 weeks



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