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Fourier Analysis of TMV (Direxion Daily 20+ Yr Trsy Bear 3X ETF)


TMV (Direxion Daily 20+ Yr Trsy Bear 3X ETF) appears to have interesting cyclic behaviour every 43 weeks (14.9648*sine), 48 weeks (13.1214*sine), and 48 weeks (8.7106*cosine).

TMV (Direxion Daily 20+ Yr Trsy Bear 3X ETF) has an average price of 97.34 (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 4/16/2009 to 5/29/2018 for TMV (Direxion Daily 20+ Yr Trsy Bear 3X ETF), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
097.3404   0 
164.13126 80.009 (1*2π)/477477 weeks
221.72427 68.24715 (2*2π)/477239 weeks
3-6.15991 35.52897 (3*2π)/477159 weeks
48.80776 22.68892 (4*2π)/477119 weeks
53.47869 26.62951 (5*2π)/47795 weeks
6-1.92997 25.37941 (6*2π)/47780 weeks
7-7.34795 12.46083 (7*2π)/47768 weeks
8.36391 2.54858 (8*2π)/47760 weeks
98.2434 6.49059 (9*2π)/47753 weeks
108.71059 13.12136 (10*2π)/47748 weeks
112.27039 14.9648 (11*2π)/47743 weeks
122.38125 12.82999 (12*2π)/47740 weeks
13.35682 12.83202 (13*2π)/47737 weeks
14-3.04127 10.45102 (14*2π)/47734 weeks
15-1.50055 7.28751 (15*2π)/47732 weeks
16-.56001 7.01525 (16*2π)/47730 weeks
17-.76326 8.42143 (17*2π)/47728 weeks
18-2.02431 6.83689 (18*2π)/47727 weeks
19-1.05835 4.77585 (19*2π)/47725 weeks
20-1.40218 5.14585 (20*2π)/47724 weeks
21.3639 4.90239 (21*2π)/47723 weeks
22-1.14672 6.57253 (22*2π)/47722 weeks
23-2.57295 3.5626 (23*2π)/47721 weeks
24-.46013 3.07934 (24*2π)/47720 weeks
25.0204 3.589 (25*2π)/47719 weeks
26-.63279 3.17112 (26*2π)/47718 weeks
27-.24396 2.13419 (27*2π)/47718 weeks
281.95936 2.48422 (28*2π)/47717 weeks
291.75581 4.56061 (29*2π)/47716 weeks
30-.08557 5.26977 (30*2π)/47716 weeks
31-.51863 3.48114 (31*2π)/47715 weeks
32-.71782 3.11061 (32*2π)/47715 weeks
33-.45192 3.0656 (33*2π)/47714 weeks
34-1.11552 2.7785 (34*2π)/47714 weeks
35-.47476 1.25745 (35*2π)/47714 weeks
36.80404 2.08512 (36*2π)/47713 weeks
371.39772 2.70821 (37*2π)/47713 weeks
38-.56157 3.56808 (38*2π)/47713 weeks
39-.38539 2.34629 (39*2π)/47712 weeks
40.21518 2.6403 (40*2π)/47712 weeks
41-.38586 3.41601 (41*2π)/47712 weeks
42-1.27447 2.75807 (42*2π)/47711 weeks
43-1.70232 1.49836 (43*2π)/47711 weeks
44-.65849 .92339 (44*2π)/47711 weeks
45-.24023 .83084 (45*2π)/47711 weeks
46-.10798 1.4021 (46*2π)/47710 weeks
47-.39885 1.37895 (47*2π)/47710 weeks
48-.60226 .64612 (48*2π)/47710 weeks
49.19679 .54454 (49*2π)/47710 weeks
50.6639 .68242 (50*2π)/47710 weeks
51.53668 .79307 (51*2π)/4779 weeks
52.55453 .89341 (52*2π)/4779 weeks
53.93667 .91278 (53*2π)/4779 weeks
541.31202 .73124 (54*2π)/4779 weeks
55.88805 1.41349 (55*2π)/4779 weeks
561.20194 1.56275 (56*2π)/4779 weeks
57.7155 1.74515 (57*2π)/4778 weeks
58.34283 1.75259 (58*2π)/4778 weeks
59.04059 1.43208 (59*2π)/4778 weeks
60.27951 .64885 (60*2π)/4778 weeks
61.65049 .79857 (61*2π)/4778 weeks
62.73671 .41824 (62*2π)/4778 weeks
63.89505 .51908 (63*2π)/4778 weeks
641.75171 .31913 (64*2π)/4777 weeks
652.52313 1.18769 (65*2π)/4777 weeks
661.85383 2.90705 (66*2π)/4777 weeks
67.35304 2.28937 (67*2π)/4777 weeks
68.43734 1.57789 (68*2π)/4777 weeks
691.02019 1.40586 (69*2π)/4777 weeks
70.65708 1.89922 (70*2π)/4777 weeks
71.40285 1.43646 (71*2π)/4777 weeks
721.04019 1.65649 (72*2π)/4777 weeks
73.33434 2.04576 (73*2π)/4777 weeks
74.29347 1.6639 (74*2π)/4776 weeks
75.15251 1.28243 (75*2π)/4776 weeks
76.46762 1.23255 (76*2π)/4776 weeks
77.70376 1.33546 (77*2π)/4776 weeks
78.62232 1.80238 (78*2π)/4776 weeks
79.24852 1.56823 (79*2π)/4776 weeks
80.27257 1.75031 (80*2π)/4776 weeks
81-.12611 1.71884 (81*2π)/4776 weeks
82-.36194 1.08985 (82*2π)/4776 weeks
83.18824 .76982 (83*2π)/4776 weeks
84.24945 1.07798 (84*2π)/4776 weeks
85-.01 1.20285 (85*2π)/4776 weeks
86.10374 .90327 (86*2π)/4776 weeks
87.26904 .89714 (87*2π)/4775 weeks
88.33853 1.18075 (88*2π)/4775 weeks
89.04775 1.16688 (89*2π)/4775 weeks
90-.09849 .78847 (90*2π)/4775 weeks
91.3852 .79088 (91*2π)/4775 weeks
92-.02678 1.19157 (92*2π)/4775 weeks
93.01579 1.00373 (93*2π)/4775 weeks
94-.24481 .88447 (94*2π)/4775 weeks
95-.28459 .36125 (95*2π)/4775 weeks
96.16155 .32172 (96*2π)/4775 weeks
97.05708 .49398 (97*2π)/4775 weeks
98.33454 .41868 (98*2π)/4775 weeks
99.39539 .63782 (99*2π)/4775 weeks
100.23906 .82162 (100*2π)/4775 weeks
101.02594 .66917 (101*2π)/4775 weeks
102-.15818 .429 (102*2π)/4775 weeks
103-.04995 .09978 (103*2π)/4775 weeks
104.40535 .02729 (104*2π)/4775 weeks
105.41013 .27291 (105*2π)/4775 weeks
106.45048 .32412 (106*2π)/4775 weeks
107.28462 .25665 (107*2π)/4774 weeks
108.3732 -.05394 (108*2π)/4774 weeks
109.62844 -.12335 (109*2π)/4774 weeks
1101.29202 -.06987 (110*2π)/4774 weeks
1111.09009 .50073 (111*2π)/4774 weeks
1121.24231 .73964 (112*2π)/4774 weeks
113.62011 .8423 (113*2π)/4774 weeks
114.4853 .50679 (114*2π)/4774 weeks
115.81099 .54386 (115*2π)/4774 weeks
1161.25334 .88535 (116*2π)/4774 weeks
117.81778 1.27181 (117*2π)/4774 weeks
118.28923 1.27366 (118*2π)/4774 weeks
119-.16647 .81081 (119*2π)/4774 weeks
120.2244 .37539 (120*2π)/4774 weeks
121.41339 .74267 (121*2π)/4774 weeks
122.09174 .56623 (122*2π)/4774 weeks
123-.08831 .40944 (123*2π)/4774 weeks
124.30464 .10225 (124*2π)/4774 weeks
125.42319 .1779 (125*2π)/4774 weeks
126.58192 .33623 (126*2π)/4774 weeks
127.41218 .472 (127*2π)/4774 weeks
128.52366 .17836 (128*2π)/4774 weeks
129.48659 .60923 (129*2π)/4774 weeks
130.29155 .29769 (130*2π)/4774 weeks
131.47587 .10745 (131*2π)/4774 weeks
132.77709 .23463 (132*2π)/4774 weeks
133.57528 .53511 (133*2π)/4774 weeks
134.45936 .36926 (134*2π)/4774 weeks
135.67932 .48145 (135*2π)/4774 weeks
136.37909 .43508 (136*2π)/4774 weeks
137.16765 .6665 (137*2π)/4773 weeks
138-.00973 .0449 (138*2π)/4773 weeks
139.42982 -.34279 (139*2π)/4773 weeks
140.90235 -.12987 (140*2π)/4773 weeks
141.92314 .05903 (141*2π)/4773 weeks
142.9576 .2563 (142*2π)/4773 weeks
143.66054 .33112 (143*2π)/4773 weeks
144.9108 .05454 (144*2π)/4773 weeks
1451.1637 .51521 (145*2π)/4773 weeks
146.83888 .90149 (146*2π)/4773 weeks
147.64957 .5268 (147*2π)/4773 weeks
148.55082 .88742 (148*2π)/4773 weeks
149.35943 .53819 (149*2π)/4773 weeks
150.2655 .4192 (150*2π)/4773 weeks
151.31545 .30626 (151*2π)/4773 weeks
152.56707 .24214 (152*2π)/4773 weeks
153.60602 .40282 (153*2π)/4773 weeks
154.50643 .65177 (154*2π)/4773 weeks
155.39171 .45684 (155*2π)/4773 weeks
156.24335 .60256 (156*2π)/4773 weeks
157.17704 .39692 (157*2π)/4773 weeks
158.10804 .47465 (158*2π)/4773 weeks
159.13135 .16777 (159*2π)/4773 weeks
160.04736 .12567 (160*2π)/4773 weeks
161-.02155 -.15669 (161*2π)/4773 weeks
162.50608 -.37346 (162*2π)/4773 weeks
163.48934 .03034 (163*2π)/4773 weeks
164.45625 -.02377 (164*2π)/4773 weeks
165.25005 -.12347 (165*2π)/4773 weeks
166.51347 -.43609 (166*2π)/4773 weeks
167.55619 .10826 (167*2π)/4773 weeks
168.18082 -.33684 (168*2π)/4773 weeks
169.60724 -.57988 (169*2π)/4773 weeks
170.86118 -.55347 (170*2π)/4773 weeks
1711.08956 -.28856 (171*2π)/4773 weeks
172.8755 -.26483 (172*2π)/4773 weeks
1731.21921 -.2399 (173*2π)/4773 weeks
1741.33355 .13305 (174*2π)/4773 weeks
1751.10584 .35372 (175*2π)/4773 weeks
176.7591 .20414 (176*2π)/4773 weeks
1771.08222 .03677 (177*2π)/4773 weeks
178.96362 .15777 (178*2π)/4773 weeks
1791.13302 .32476 (179*2π)/4773 weeks
180.83502 .35153 (180*2π)/4773 weeks
181.86202 .21722 (181*2π)/4773 weeks
182.76613 .35487 (182*2π)/4773 weeks
183.79541 .14688 (183*2π)/4773 weeks
184.7997 -.02044 (184*2π)/4773 weeks
1851.2713 .13764 (185*2π)/4773 weeks
1861.22901 .5333 (186*2π)/4773 weeks
187.82367 .60459 (187*2π)/4773 weeks
1881.05596 .60365 (188*2π)/4773 weeks
189.83818 .73029 (189*2π)/4773 weeks
190.59521 .87094 (190*2π)/4773 weeks
191.15228 .82712 (191*2π)/4772 weeks
192.06055 .20631 (192*2π)/4772 weeks
193.32273 -.12015 (193*2π)/4772 weeks
194.80048 -.21277 (194*2π)/4772 weeks
195.96708 .41555 (195*2π)/4772 weeks
196.43502 .27765 (196*2π)/4772 weeks
197.70992 .23364 (197*2π)/4772 weeks
198.75152 .39141 (198*2π)/4772 weeks
199.38897 .47963 (199*2π)/4772 weeks
200.31199 .21318 (200*2π)/4772 weeks
201.35639 .07084 (201*2π)/4772 weeks
202.45297 -.00988 (202*2π)/4772 weeks
203.66647 -.09046 (203*2π)/4772 weeks
204.81118 .08331 (204*2π)/4772 weeks
205.49477 .02878 (205*2π)/4772 weeks
206.70293 -.17364 (206*2π)/4772 weeks
207.68612 -.08812 (207*2π)/4772 weeks
2081.08907 -.1727 (208*2π)/4772 weeks
2091.00771 .34507 (209*2π)/4772 weeks
210.72473 .26131 (210*2π)/4772 weeks
211.87492 -.16984 (211*2π)/4772 weeks
2121.30003 -.08327 (212*2π)/4772 weeks
2131.48718 .42405 (213*2π)/4772 weeks
2141.3509 .80294 (214*2π)/4772 weeks
215.9923 .95067 (215*2π)/4772 weeks
216.78488 .94629 (216*2π)/4772 weeks
217.75936 .97474 (217*2π)/4772 weeks
218.2458 .97316 (218*2π)/4772 weeks
219.29801 .97132 (219*2π)/4772 weeks
220-.0981 .42377 (220*2π)/4772 weeks
221.31215 .38727 (221*2π)/4772 weeks
222.24405 .35894 (222*2π)/4772 weeks
223.35054 .38251 (223*2π)/4772 weeks
224.33926 .47723 (224*2π)/4772 weeks
225-.06655 .57663 (225*2π)/4772 weeks
226-.1369 .12876 (226*2π)/4772 weeks
227.1606 -.13193 (227*2π)/4772 weeks
228.47976 .07295 (228*2π)/4772 weeks
229.15008 .32359 (229*2π)/4772 weeks
230.06498 .15276 (230*2π)/4772 weeks
231.17608 -.28538 (231*2π)/4772 weeks
232.65018 .18795 (232*2π)/4772 weeks
233.22906 .45681 (233*2π)/4772 weeks
234-.0831 .08674 (234*2π)/4772 weeks
235-.00829 -.18055 (235*2π)/4772 weeks
236.22263 -.15839 (236*2π)/4772 weeks
237.29524 -.29083 (237*2π)/4772 weeks
238.77596 -.37768 (238*2π)/4772 weeks
239.77596 .37768 (239*2π)/4772 weeks
240.29524 .29083 (240*2π)/4772 weeks
241.22263 .15839 (241*2π)/4772 weeks
242-.00829 .18055 (242*2π)/4772 weeks
243-.0831 -.08674 (243*2π)/4772 weeks
244.22906 -.45681 (244*2π)/4772 weeks
245.65018 -.18795 (245*2π)/4772 weeks
246.17608 .28538 (246*2π)/4772 weeks
247.06498 -.15276 (247*2π)/4772 weeks
248.15008 -.32359 (248*2π)/4772 weeks
249.47976 -.07295 (249*2π)/4772 weeks
250.1606 .13193 (250*2π)/4772 weeks
251-.1369 -.12876 (251*2π)/4772 weeks
252-.06655 -.57663 (252*2π)/4772 weeks
253.33926 -.47723 (253*2π)/4772 weeks
254.35054 -.38251 (254*2π)/4772 weeks
255.24405 -.35894 (255*2π)/4772 weeks
256.31215 -.38727 (256*2π)/4772 weeks
257-.0981 -.42377 (257*2π)/4772 weeks
258.29801 -.97132 (258*2π)/4772 weeks
259.2458 -.97316 (259*2π)/4772 weeks
260.75936 -.97474 (260*2π)/4772 weeks
261.78488 -.94629 (261*2π)/4772 weeks
262.9923 -.95067 (262*2π)/4772 weeks
2631.3509 -.80294 (263*2π)/4772 weeks
2641.48718 -.42405 (264*2π)/4772 weeks
2651.30003 .08327 (265*2π)/4772 weeks
266.87492 .16984 (266*2π)/4772 weeks
267.72473 -.26131 (267*2π)/4772 weeks
2681.00771 -.34507 (268*2π)/4772 weeks
2691.08907 .1727 (269*2π)/4772 weeks
270.68612 .08812 (270*2π)/4772 weeks
271.70293 .17364 (271*2π)/4772 weeks
272.49477 -.02878 (272*2π)/4772 weeks
273.81118 -.08331 (273*2π)/4772 weeks
274.66647 .09046 (274*2π)/4772 weeks
275.45297 .00988 (275*2π)/4772 weeks
276.35639 -.07084 (276*2π)/4772 weeks
277.31199 -.21318 (277*2π)/4772 weeks
278.38897 -.47963 (278*2π)/4772 weeks
279.75152 -.39141 (279*2π)/4772 weeks
280.70992 -.23364 (280*2π)/4772 weeks
281.43502 -.27765 (281*2π)/4772 weeks
282.96708 -.41555 (282*2π)/4772 weeks
283.80048 .21277 (283*2π)/4772 weeks
284.32273 .12015 (284*2π)/4772 weeks
285.06055 -.20631 (285*2π)/4772 weeks
286.15228 -.82712 (286*2π)/4772 weeks
287.59521 -.87094 (287*2π)/4772 weeks
288.83818 -.73029 (288*2π)/4772 weeks
2891.05596 -.60365 (289*2π)/4772 weeks
290.82367 -.60459 (290*2π)/4772 weeks
2911.22901 -.5333 (291*2π)/4772 weeks
2921.2713 -.13764 (292*2π)/4772 weeks
293.7997 .02044 (293*2π)/4772 weeks
294.79541 -.14688 (294*2π)/4772 weeks
295.76613 -.35487 (295*2π)/4772 weeks
296.86202 -.21722 (296*2π)/4772 weeks
297.83502 -.35153 (297*2π)/4772 weeks
2981.13302 -.32476 (298*2π)/4772 weeks
299.96362 -.15777 (299*2π)/4772 weeks
3001.08222 -.03677 (300*2π)/4772 weeks
301.7591 -.20414 (301*2π)/4772 weeks
3021.10584 -.35372 (302*2π)/4772 weeks
3031.33355 -.13305 (303*2π)/4772 weeks
3041.21921 .2399 (304*2π)/4772 weeks
305.8755 .26483 (305*2π)/4772 weeks
3061.08956 .28856 (306*2π)/4772 weeks
307.86118 .55347 (307*2π)/4772 weeks
308.60724 .57988 (308*2π)/4772 weeks
309.18082 .33684 (309*2π)/4772 weeks
310.55619 -.10826 (310*2π)/4772 weeks
311.51347 .43609 (311*2π)/4772 weeks
312.25005 .12347 (312*2π)/4772 weeks
313.45625 .02377 (313*2π)/4772 weeks
314.48934 -.03034 (314*2π)/4772 weeks
315.50608 .37346 (315*2π)/4772 weeks
316-.02155 .15669 (316*2π)/4772 weeks
317.04736 -.12567 (317*2π)/4772 weeks
318.13135 -.16777 (318*2π)/4772 weeks
319.10804 -.47465 (319*2π)/4771 weeks
320.17704 -.39692 (320*2π)/4771 weeks
321.24335 -.60256 (321*2π)/4771 weeks
322.39171 -.45684 (322*2π)/4771 weeks
323.50643 -.65177 (323*2π)/4771 weeks
324.60602 -.40282 (324*2π)/4771 weeks
325.56707 -.24214 (325*2π)/4771 weeks
326.31545 -.30626 (326*2π)/4771 weeks
327.2655 -.4192 (327*2π)/4771 weeks
328.35943 -.53819 (328*2π)/4771 weeks
329.55082 -.88742 (329*2π)/4771 weeks
330.64957 -.5268 (330*2π)/4771 weeks
331.83888 -.90149 (331*2π)/4771 weeks
3321.1637 -.51521 (332*2π)/4771 weeks
333.9108 -.05454 (333*2π)/4771 weeks
334.66054 -.33112 (334*2π)/4771 weeks
335.9576 -.2563 (335*2π)/4771 weeks
336.92314 -.05903 (336*2π)/4771 weeks
337.90235 .12987 (337*2π)/4771 weeks
338.42982 .34279 (338*2π)/4771 weeks
339-.00973 -.0449 (339*2π)/4771 weeks
340.16765 -.6665 (340*2π)/4771 weeks
341.37909 -.43508 (341*2π)/4771 weeks
342.67932 -.48145 (342*2π)/4771 weeks
343.45936 -.36926 (343*2π)/4771 weeks
344.57528 -.53511 (344*2π)/4771 weeks
345.77709 -.23463 (345*2π)/4771 weeks
346.47587 -.10745 (346*2π)/4771 weeks
347.29155 -.29769 (347*2π)/4771 weeks
348.48659 -.60923 (348*2π)/4771 weeks
349.52366 -.17836 (349*2π)/4771 weeks
350.41218 -.472 (350*2π)/4771 weeks
351.58192 -.33623 (351*2π)/4771 weeks
352.42319 -.1779 (352*2π)/4771 weeks
353.30464 -.10225 (353*2π)/4771 weeks
354-.08831 -.40944 (354*2π)/4771 weeks
355.09174 -.56623 (355*2π)/4771 weeks
356.41339 -.74267 (356*2π)/4771 weeks
357.2244 -.37539 (357*2π)/4771 weeks
358-.16647 -.81081 (358*2π)/4771 weeks
359.28923 -1.27366 (359*2π)/4771 weeks
360.81778 -1.27181 (360*2π)/4771 weeks
3611.25334 -.88535 (361*2π)/4771 weeks
362.81099 -.54386 (362*2π)/4771 weeks
363.4853 -.50679 (363*2π)/4771 weeks
364.62011 -.8423 (364*2π)/4771 weeks
3651.24231 -.73964 (365*2π)/4771 weeks
3661.09009 -.50073 (366*2π)/4771 weeks
3671.29202 .06987 (367*2π)/4771 weeks
368.62844 .12335 (368*2π)/4771 weeks
369.3732 .05394 (369*2π)/4771 weeks
370.28462 -.25665 (370*2π)/4771 weeks
371.45048 -.32412 (371*2π)/4771 weeks
372.41013 -.27291 (372*2π)/4771 weeks
373.40535 -.02729 (373*2π)/4771 weeks
374-.04995 -.09978 (374*2π)/4771 weeks
375-.15818 -.429 (375*2π)/4771 weeks
376.02594 -.66917 (376*2π)/4771 weeks
377.23906 -.82162 (377*2π)/4771 weeks
378.39539 -.63782 (378*2π)/4771 weeks
379.33454 -.41868 (379*2π)/4771 weeks
380.05708 -.49398 (380*2π)/4771 weeks
381.16155 -.32172 (381*2π)/4771 weeks
382-.28459 -.36125 (382*2π)/4771 weeks
383-.24481 -.88447 (383*2π)/4771 weeks
384.01579 -1.00373 (384*2π)/4771 weeks
385-.02678 -1.19157 (385*2π)/4771 weeks
386.3852 -.79088 (386*2π)/4771 weeks
387-.09849 -.78847 (387*2π)/4771 weeks
388.04775 -1.16688 (388*2π)/4771 weeks
389.33853 -1.18075 (389*2π)/4771 weeks
390.26904 -.89714 (390*2π)/4771 weeks
391.10374 -.90327 (391*2π)/4771 weeks
392-.01 -1.20285 (392*2π)/4771 weeks
393.24945 -1.07798 (393*2π)/4771 weeks
394.18824 -.76982 (394*2π)/4771 weeks
395-.36194 -1.08985 (395*2π)/4771 weeks
396-.12611 -1.71884 (396*2π)/4771 weeks
397.27257 -1.75031 (397*2π)/4771 weeks
398.24852 -1.56823 (398*2π)/4771 weeks
399.62232 -1.80238 (399*2π)/4771 weeks
400.70376 -1.33546 (400*2π)/4771 weeks
401.46762 -1.23255 (401*2π)/4771 weeks
402.15251 -1.28243 (402*2π)/4771 weeks
403.29347 -1.6639 (403*2π)/4771 weeks
404.33434 -2.04576 (404*2π)/4771 weeks
4051.04019 -1.65649 (405*2π)/4771 weeks
406.40285 -1.43646 (406*2π)/4771 weeks
407.65708 -1.89922 (407*2π)/4771 weeks
4081.02019 -1.40586 (408*2π)/4771 weeks
409.43734 -1.57789 (409*2π)/4771 weeks
410.35304 -2.28937 (410*2π)/4771 weeks
4111.85383 -2.90705 (411*2π)/4771 weeks
4122.52313 -1.18769 (412*2π)/4771 weeks
4131.75171 -.31913 (413*2π)/4771 weeks
414.89505 -.51908 (414*2π)/4771 weeks
415.73671 -.41824 (415*2π)/4771 weeks
416.65049 -.79857 (416*2π)/4771 weeks
417.27951 -.64885 (417*2π)/4771 weeks
418.04059 -1.43208 (418*2π)/4771 weeks
419.34283 -1.75259 (419*2π)/4771 weeks
420.7155 -1.74515 (420*2π)/4771 weeks
4211.20194 -1.56275 (421*2π)/4771 weeks
422.88805 -1.41349 (422*2π)/4771 weeks
4231.31202 -.73124 (423*2π)/4771 weeks
424.93667 -.91278 (424*2π)/4771 weeks
425.55453 -.89341 (425*2π)/4771 weeks
426.53668 -.79307 (426*2π)/4771 weeks
427.6639 -.68242 (427*2π)/4771 weeks
428.19679 -.54454 (428*2π)/4771 weeks
429-.60226 -.64612 (429*2π)/4771 weeks
430-.39885 -1.37895 (430*2π)/4771 weeks
431-.10798 -1.4021 (431*2π)/4771 weeks
432-.24023 -.83084 (432*2π)/4771 weeks
433-.65849 -.92339 (433*2π)/4771 weeks
434-1.70232 -1.49836 (434*2π)/4771 weeks
435-1.27447 -2.75807 (435*2π)/4771 weeks
436-.38586 -3.41601 (436*2π)/4771 weeks
437.21518 -2.6403 (437*2π)/4771 weeks
438-.38539 -2.34629 (438*2π)/4771 weeks
439-.56157 -3.56808 (439*2π)/4771 weeks
4401.39772 -2.70821 (440*2π)/4771 weeks
441.80404 -2.08512 (441*2π)/4771 weeks
442-.47476 -1.25745 (442*2π)/4771 weeks
443-1.11552 -2.7785 (443*2π)/4771 weeks
444-.45192 -3.0656 (444*2π)/4771 weeks
445-.71782 -3.11061 (445*2π)/4771 weeks
446-.51863 -3.48114 (446*2π)/4771 weeks
447-.08557 -5.26977 (447*2π)/4771 weeks
4481.75581 -4.56061 (448*2π)/4771 weeks
4491.95936 -2.48422 (449*2π)/4771 weeks
450-.24396 -2.13419 (450*2π)/4771 weeks
451-.63279 -3.17112 (451*2π)/4771 weeks
452.0204 -3.589 (452*2π)/4771 weeks
453-.46013 -3.07934 (453*2π)/4771 weeks
454-2.57295 -3.5626 (454*2π)/4771 weeks
455-1.14672 -6.57253 (455*2π)/4771 weeks
456.3639 -4.90239 (456*2π)/4771 weeks
457-1.40218 -5.14585 (457*2π)/4771 weeks
458-1.05835 -4.77585 (458*2π)/4771 weeks
459-2.02431 -6.83689 (459*2π)/4771 weeks
460-.76326 -8.42143 (460*2π)/4771 weeks
461-.56001 -7.01525 (461*2π)/4771 weeks
462-1.50055 -7.28751 (462*2π)/4771 weeks
463-3.04127 -10.45102 (463*2π)/4771 weeks
464.35682 -12.83202 (464*2π)/4771 weeks
4652.38125 -12.82999 (465*2π)/4771 weeks
4662.27039 -14.9648 (466*2π)/4771 weeks
4678.71059 -13.12136 (467*2π)/4771 weeks
4688.2434 -6.49059 (468*2π)/4771 weeks
469.36391 -2.54858 (469*2π)/4771 weeks
470-7.34795 -12.46083 (470*2π)/4771 weeks
471-1.92997 -25.37941 (471*2π)/4771 weeks
4723.47869 -26.62951 (472*2π)/4771 weeks
4738.80776 -22.68892 (473*2π)/4771 weeks
474-6.15991 -35.52897 (474*2π)/4771 weeks
47521.72427 -68.24715 (475*2π)/4771 weeks



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