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Fourier Analysis of RTG (RYDEX EXCHANGE TRADED FD TRUST)

RTG (RYDEX EXCHANGE TRADED FD TRUST) appears to have interesting cyclic behaviour every 38 weeks (6.0405*sine), 46 weeks (4.4425*sine), and 42 weeks (4.1493*sine).

RTG (RYDEX EXCHANGE TRADED FD TRUST) has an average price of 19.82 (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.

Fourier Analysis

Using data from 6/17/2008 to 3/20/2017 for RTG (RYDEX EXCHANGE TRADED FD TRUST), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
019.82487   0
115.69735 24.86004 (1*2π)/458458 weeks
2-1.84886 12.43382 (2*2π)/458229 weeks
31.21093 6.3024 (3*2π)/458153 weeks
4-1.28306 3.74599 (4*2π)/458115 weeks
53.7205 -.34091 (5*2π)/45892 weeks
64.70348 5.09071 (6*2π)/45876 weeks
71.9691 2.04212 (7*2π)/45865 weeks
87.27419 4.02191 (8*2π)/45857 weeks
92.03787 9.86956 (9*2π)/45851 weeks
10-1.99979 4.44253 (10*2π)/45846 weeks
111.3999 4.14929 (11*2π)/45842 weeks
12-1.87661 6.04047 (12*2π)/45838 weeks
13-3.51086 1.72907 (13*2π)/45835 weeks
14-.50847 -.13815 (14*2π)/45833 weeks
151.36445 1.52763 (15*2π)/45831 weeks
16-.53303 3.0775 (16*2π)/45829 weeks
17-1.24726 -.00718 (17*2π)/45827 weeks
182.51824 .97505 (18*2π)/45825 weeks
19-.62763 4.03197 (19*2π)/45824 weeks
20-1.5882 -.25856 (20*2π)/45823 weeks
211.88401 1.48644 (21*2π)/45822 weeks
22-2.14233 2.59442 (22*2π)/45821 weeks
23-.6293 -1.89821 (23*2π)/45820 weeks
242.09501 1.19879 (24*2π)/45819 weeks
25-.80955 .76102 (25*2π)/45818 weeks
262.23237 -.48055 (26*2π)/45818 weeks
271.25504 3.29915 (27*2π)/45817 weeks
28-.97352 .67658 (28*2π)/45816 weeks
291.83767 1.22539 (29*2π)/45816 weeks
30-.96268 2.95817 (30*2π)/45815 weeks
31-.96722 -.37766 (31*2π)/45815 weeks
321.01841 1.17977 (32*2π)/45814 weeks
33-1.13397 1.07993 (33*2π)/45814 weeks
34.55186 -.49933 (34*2π)/45813 weeks
35.77491 1.5809 (35*2π)/45813 weeks
36-.63617 .7729 (36*2π)/45813 weeks
37.27582 .37496 (37*2π)/45812 weeks
38-.0048 .44595 (38*2π)/45812 weeks
39.93337 .39592 (39*2π)/45812 weeks
40-.0378 1.8558 (40*2π)/45811 weeks
41-1.18537 -.28104 (41*2π)/45811 weeks
421.42307 -.55071 (42*2π)/45811 weeks
43.70546 1.52304 (43*2π)/45811 weeks
44-.03643 .26263 (44*2π)/45810 weeks
451.04968 .83676 (45*2π)/45810 weeks
46-.21576 1.26371 (46*2π)/45810 weeks
47.08486 .14002 (47*2π)/45810 weeks
48.58113 .78179 (48*2π)/45810 weeks
49.28036 .66012 (49*2π)/4589 weeks
50.58968 1.18358 (50*2π)/4589 weeks
51-.67079 1.26969 (51*2π)/4589 weeks
52-.23476 -.15362 (52*2π)/4589 weeks
53.62204 .8378 (53*2π)/4589 weeks
54-.66094 .86247 (54*2π)/4588 weeks
55.03503 -.20313 (55*2π)/4588 weeks
56.36162 .85686 (56*2π)/4588 weeks
57-.65312 .40124 (57*2π)/4588 weeks
58.21536 -.29612 (58*2π)/4588 weeks
59.3567 .57387 (59*2π)/4588 weeks
60-.23068 .11337 (60*2π)/4588 weeks
61.54396 -.15951 (61*2π)/4588 weeks
62.55121 .5863 (62*2π)/4587 weeks
63.09345 .38499 (63*2π)/4587 weeks
64.39828 .34869 (64*2π)/4587 weeks
65.00832 .60614 (65*2π)/4587 weeks
66-.0699 -.21431 (66*2π)/4587 weeks
671.06607 .03631 (67*2π)/4587 weeks
68.41665 1.12955 (68*2π)/4587 weeks
69-.21845 .08587 (69*2π)/4587 weeks
701.13133 .23926 (70*2π)/4587 weeks
71.14231 1.6404 (71*2π)/4586 weeks
72-.84459 .00356 (72*2π)/4586 weeks
731.09337 -.10681 (73*2π)/4586 weeks
74.07733 1.77175 (74*2π)/4586 weeks
75-1.29776 -.15383 (75*2π)/4586 weeks
76.96739 -.61382 (76*2π)/4586 weeks
77.2741 1.34356 (77*2π)/4586 weeks
78-.79766 -.31499 (78*2π)/4586 weeks
791.21258 -.18522 (79*2π)/4586 weeks
80-.09268 1.41606 (80*2π)/4586 weeks
81-.64014 -.6102 (81*2π)/4586 weeks
821.29765 .15824 (82*2π)/4586 weeks
83-.54329 1.16623 (83*2π)/4586 weeks
84-.19284 -1.01337 (84*2π)/4585 weeks
851.42415 .5752 (85*2π)/4585 weeks
86-.79822 .89241 (86*2π)/4585 weeks
87.32461 -1.05293 (87*2π)/4585 weeks
881.18212 .95949 (88*2π)/4585 weeks
89-.81956 .32196 (89*2π)/4585 weeks
901.1472 -.81044 (90*2π)/4585 weeks
911.00957 1.68443 (91*2π)/4585 weeks
92-1.04022 .52292 (92*2π)/4585 weeks
93.55202 -.39039 (93*2π)/4585 weeks
94.25926 .92582 (94*2π)/4585 weeks
95-.37899 -.02261 (95*2π)/4585 weeks
96.48812 .04077 (96*2π)/4585 weeks
97.05148 .29081 (97*2π)/4585 weeks
98.43937 -.02111 (98*2π)/4585 weeks
99.30441 .61347 (99*2π)/4585 weeks
100-.02302 .03441 (100*2π)/4585 weeks
101.68873 .35012 (101*2π)/4585 weeks
102-.22465 .81999 (102*2π)/4584 weeks
103-.24814 -.31607 (103*2π)/4584 weeks
104.64047 .06375 (104*2π)/4584 weeks
105.12496 .43314 (105*2π)/4584 weeks
106.20098 .04971 (106*2π)/4584 weeks
107.28484 .30725 (107*2π)/4584 weeks
108.20199 .12727 (108*2π)/4584 weeks
109.43118 .33284 (109*2π)/4584 weeks
110.0566 .37829 (110*2π)/4584 weeks
111.34346 .11208 (111*2π)/4584 weeks
112.32243 .67608 (112*2π)/4584 weeks
113-.29185 .42123 (113*2π)/4584 weeks
114.00517 .03197 (114*2π)/4584 weeks
115.02698 .20649 (115*2π)/4584 weeks
116.00723 -.03772 (116*2π)/4584 weeks
117.28461 .08519 (117*2π)/4584 weeks
118.05327 .17328 (118*2π)/4584 weeks
119.22352 -.0732 (119*2π)/4584 weeks
120.35924 .26833 (120*2π)/4584 weeks
121.0027 .16621 (121*2π)/4584 weeks
122.38156 .02498 (122*2π)/4584 weeks
123.05886 .596 (123*2π)/4584 weeks
124-.52388 -.31481 (124*2π)/4584 weeks
125.88742 -.66832 (125*2π)/4584 weeks
126.67598 .92088 (126*2π)/4584 weeks
127-.60259 -.07954 (127*2π)/4584 weeks
1281.08921 -.63619 (128*2π)/4584 weeks
129.71377 1.2411 (129*2π)/4584 weeks
130-.58117 .02925 (130*2π)/4584 weeks
1311.03898 -.12154 (131*2π)/4583 weeks
132.01283 1.28282 (132*2π)/4583 weeks
133-.55087 -.39933 (133*2π)/4583 weeks
134.9409 .16444 (134*2π)/4583 weeks
135-.43611 .74644 (135*2π)/4583 weeks
136.14503 -.65978 (136*2π)/4583 weeks
137.72832 .76324 (137*2π)/4583 weeks
138-.76708 .12127 (138*2π)/4583 weeks
139.81646 -.65387 (139*2π)/4583 weeks
140.52341 1.14577 (140*2π)/4583 weeks
141-.71339 .04836 (141*2π)/4583 weeks
142.46668 -.1851 (142*2π)/4583 weeks
143-.18392 .38088 (143*2π)/4583 weeks
144.08338 -.54889 (144*2π)/4583 weeks
145.57535 .18689 (145*2π)/4583 weeks
146.02721 -.09866 (146*2π)/4583 weeks
147.8239 .0422 (147*2π)/4583 weeks
148-.04909 .63872 (148*2π)/4583 weeks
149.19933 -.53056 (149*2π)/4583 weeks
150.99137 .65741 (150*2π)/4583 weeks
151-.62131 .57176 (151*2π)/4583 weeks
152.43289 -.64016 (152*2π)/4583 weeks
153.63321 .89638 (153*2π)/4583 weeks
154-.6562 .09564 (154*2π)/4583 weeks
155.59887 -.43664 (155*2π)/4583 weeks
156.37091 .54652 (156*2π)/4583 weeks
157.1419 .05232 (157*2π)/4583 weeks
158.31941 .50315 (158*2π)/4583 weeks
159-.30653 .12868 (159*2π)/4583 weeks
160.39021 -.02096 (160*2π)/4583 weeks
161-.21122 .40473 (161*2π)/4583 weeks
162.08368 -.60993 (162*2π)/4583 weeks
163.81783 .4417 (163*2π)/4583 weeks
164-.48738 .26796 (164*2π)/4583 weeks
165.61293 -.51557 (165*2π)/4583 weeks
166.3046 .89689 (166*2π)/4583 weeks
167-.48651 -.51464 (167*2π)/4583 weeks
1681.37914 .02114 (168*2π)/4583 weeks
169-.52965 1.34965 (169*2π)/4583 weeks
170-.49128 -1.23361 (170*2π)/4583 weeks
1711.67641 .36098 (171*2π)/4583 weeks
172-.89692 1.14606 (172*2π)/4583 weeks
173.07301 -1.35431 (173*2π)/4583 weeks
1741.52351 1.00764 (174*2π)/4583 weeks
175-1.34594 .93346 (175*2π)/4583 weeks
176.13054 -1.4092 (176*2π)/4583 weeks
1771.22769 .90028 (177*2π)/4583 weeks
178-1.21796 .57084 (178*2π)/4583 weeks
179.22712 -1.31788 (179*2π)/4583 weeks
1801.08881 .65033 (180*2π)/4583 weeks
181-.81199 .32495 (181*2π)/4583 weeks
182.56064 -1.00909 (182*2π)/4583 weeks
183.9112 .96524 (183*2π)/4583 weeks
184-1.03547 .16574 (184*2π)/4582 weeks
185.7614 -1.07316 (185*2π)/4582 weeks
186.74264 1.13752 (186*2π)/4582 weeks
187-1.06907 -.25334 (187*2π)/4582 weeks
1881.24763 -.90947 (188*2π)/4582 weeks
189.3882 1.37021 (189*2π)/4582 weeks
190-.81766 -.76809 (190*2π)/4582 weeks
1911.84 -.29744 (191*2π)/4582 weeks
192-.12993 1.82062 (192*2π)/4582 weeks
193-.88139 -.73177 (193*2π)/4582 weeks
1941.15973 .03003 (194*2π)/4582 weeks
195-.51036 .79898 (195*2π)/4582 weeks
196.02062 -.71995 (196*2π)/4582 weeks
197.57465 .51386 (197*2π)/4582 weeks
198-.49345 -.05564 (198*2π)/4582 weeks
199.61029 -.29285 (199*2π)/4582 weeks
200-.01943 .48824 (200*2π)/4582 weeks
201.10084 -.45413 (201*2π)/4582 weeks
202.56296 .54001 (202*2π)/4582 weeks
203-.71747 .05296 (203*2π)/4582 weeks
204.55589 -.72248 (204*2π)/4582 weeks
205.31614 .63946 (205*2π)/4582 weeks
206-.38737 -.50726 (206*2π)/4582 weeks
207.98911 -.2086 (207*2π)/4582 weeks
208-.08953 .59694 (208*2π)/4582 weeks
209.12805 -.66145 (209*2π)/4582 weeks
210.91356 .38228 (210*2π)/4582 weeks
211-.31417 .35736 (211*2π)/4582 weeks
212.45286 -.4074 (212*2π)/4582 weeks
213.47606 .67015 (213*2π)/4582 weeks
214-.41777 .14153 (214*2π)/4582 weeks
215.28439 -.30742 (215*2π)/4582 weeks
216.33811 .30997 (216*2π)/4582 weeks
217-.1805 .1495 (217*2π)/4582 weeks
218.11 -.41952 (218*2π)/4582 weeks
219.82264 .16676 (219*2π)/4582 weeks
220-.26802 .83739 (220*2π)/4582 weeks
221-.47607 -.71376 (221*2π)/4582 weeks
2221.10803 -.02995 (222*2π)/4582 weeks
223-.53155 .9104 (223*2π)/4582 weeks
224-.23531 -1.14729 (224*2π)/4582 weeks
2251.28957 .46114 (225*2π)/4582 weeks
226-1.07513 .63494 (226*2π)/4582 weeks
227.30468 -1.4594 (227*2π)/4582 weeks
2281.13569 .84525 (228*2π)/4582 weeks
229-.97328   (229*2π)/4582 weeks
2301.13569 -.84525 (230*2π)/4582 weeks
231.30468 1.4594 (231*2π)/4582 weeks
232-1.07513 -.63494 (232*2π)/4582 weeks
2331.28957 -.46114 (233*2π)/4582 weeks
234-.23531 1.14729 (234*2π)/4582 weeks
235-.53155 -.9104 (235*2π)/4582 weeks
2361.10803 .02995 (236*2π)/4582 weeks
237-.47607 .71376 (237*2π)/4582 weeks
238-.26802 -.83739 (238*2π)/4582 weeks
239.82264 -.16676 (239*2π)/4582 weeks
240.11 .41952 (240*2π)/4582 weeks
241-.1805 -.1495 (241*2π)/4582 weeks
242.33811 -.30997 (242*2π)/4582 weeks
243.28439 .30742 (243*2π)/4582 weeks
244-.41777 -.14153 (244*2π)/4582 weeks
245.47606 -.67015 (245*2π)/4582 weeks
246.45286 .4074 (246*2π)/4582 weeks
247-.31417 -.35736 (247*2π)/4582 weeks
248.91356 -.38228 (248*2π)/4582 weeks
249.12805 .66145 (249*2π)/4582 weeks
250-.08953 -.59694 (250*2π)/4582 weeks
251.98911 .2086 (251*2π)/4582 weeks
252-.38737 .50726 (252*2π)/4582 weeks
253.31614 -.63946 (253*2π)/4582 weeks
254.55589 .72248 (254*2π)/4582 weeks
255-.71747 -.05296 (255*2π)/4582 weeks
256.56296 -.54001 (256*2π)/4582 weeks
257.10084 .45413 (257*2π)/4582 weeks
258-.01943 -.48824 (258*2π)/4582 weeks
259.61029 .29285 (259*2π)/4582 weeks
260-.49345 .05564 (260*2π)/4582 weeks
261.57465 -.51386 (261*2π)/4582 weeks
262.02062 .71995 (262*2π)/4582 weeks
263-.51036 -.79898 (263*2π)/4582 weeks
2641.15973 -.03003 (264*2π)/4582 weeks
265-.88139 .73177 (265*2π)/4582 weeks
266-.12993 -1.82062 (266*2π)/4582 weeks
2671.84 .29744 (267*2π)/4582 weeks
268-.81766 .76809 (268*2π)/4582 weeks
269.3882 -1.37021 (269*2π)/4582 weeks
2701.24763 .90947 (270*2π)/4582 weeks
271-1.06907 .25334 (271*2π)/4582 weeks
272.74264 -1.13752 (272*2π)/4582 weeks
273.7614 1.07316 (273*2π)/4582 weeks
274-1.03547 -.16574 (274*2π)/4582 weeks
275.9112 -.96524 (275*2π)/4582 weeks
276.56064 1.00909 (276*2π)/4582 weeks
277-.81199 -.32495 (277*2π)/4582 weeks
2781.08881 -.65033 (278*2π)/4582 weeks
279.22712 1.31788 (279*2π)/4582 weeks
280-1.21796 -.57084 (280*2π)/4582 weeks
2811.22769 -.90028 (281*2π)/4582 weeks
282.13054 1.4092 (282*2π)/4582 weeks
283-1.34594 -.93346 (283*2π)/4582 weeks
2841.52351 -1.00764 (284*2π)/4582 weeks
285.07301 1.35431 (285*2π)/4582 weeks
286-.89692 -1.14606 (286*2π)/4582 weeks
2871.67641 -.36098 (287*2π)/4582 weeks
288-.49128 1.23361 (288*2π)/4582 weeks
289-.52965 -1.34965 (289*2π)/4582 weeks
2901.37914 -.02114 (290*2π)/4582 weeks
291-.48651 .51464 (291*2π)/4582 weeks
292.3046 -.89689 (292*2π)/4582 weeks
293.61293 .51557 (293*2π)/4582 weeks
294-.48738 -.26796 (294*2π)/4582 weeks
295.81783 -.4417 (295*2π)/4582 weeks
296.08368 .60993 (296*2π)/4582 weeks
297-.21122 -.40473 (297*2π)/4582 weeks
298.39021 .02096 (298*2π)/4582 weeks
299-.30653 -.12868 (299*2π)/4582 weeks
300.31941 -.50315 (300*2π)/4582 weeks
301.1419 -.05232 (301*2π)/4582 weeks
302.37091 -.54652 (302*2π)/4582 weeks
303.59887 .43664 (303*2π)/4582 weeks
304-.6562 -.09564 (304*2π)/4582 weeks
305.63321 -.89638 (305*2π)/4582 weeks
306.43289 .64016 (306*2π)/4581 weeks
307-.62131 -.57176 (307*2π)/4581 weeks
308.99137 -.65741 (308*2π)/4581 weeks
309.19933 .53056 (309*2π)/4581 weeks
310-.04909 -.63872 (310*2π)/4581 weeks
311.8239 -.0422 (311*2π)/4581 weeks
312.02721 .09866 (312*2π)/4581 weeks
313.57535 -.18689 (313*2π)/4581 weeks
314.08338 .54889 (314*2π)/4581 weeks
315-.18392 -.38088 (315*2π)/4581 weeks
316.46668 .1851 (316*2π)/4581 weeks
317-.71339 -.04836 (317*2π)/4581 weeks
318.52341 -1.14577 (318*2π)/4581 weeks
319.81646 .65387 (319*2π)/4581 weeks
320-.76708 -.12127 (320*2π)/4581 weeks
321.72832 -.76324 (321*2π)/4581 weeks
322.14503 .65978 (322*2π)/4581 weeks
323-.43611 -.74644 (323*2π)/4581 weeks
324.9409 -.16444 (324*2π)/4581 weeks
325-.55087 .39933 (325*2π)/4581 weeks
326.01283 -1.28282 (326*2π)/4581 weeks
3271.03898 .12154 (327*2π)/4581 weeks
328-.58117 -.02925 (328*2π)/4581 weeks
329.71377 -1.2411 (329*2π)/4581 weeks
3301.08921 .63619 (330*2π)/4581 weeks
331-.60259 .07954 (331*2π)/4581 weeks
332.67598 -.92088 (332*2π)/4581 weeks
333.88742 .66832 (333*2π)/4581 weeks
334-.52388 .31481 (334*2π)/4581 weeks
335.05886 -.596 (335*2π)/4581 weeks
336.38156 -.02498 (336*2π)/4581 weeks
337.0027 -.16621 (337*2π)/4581 weeks
338.35924 -.26833 (338*2π)/4581 weeks
339.22352 .0732 (339*2π)/4581 weeks
340.05327 -.17328 (340*2π)/4581 weeks
341.28461 -.08519 (341*2π)/4581 weeks
342.00723 .03772 (342*2π)/4581 weeks
343.02698 -.20649 (343*2π)/4581 weeks
344.00517 -.03197 (344*2π)/4581 weeks
345-.29185 -.42123 (345*2π)/4581 weeks
346.32243 -.67608 (346*2π)/4581 weeks
347.34346 -.11208 (347*2π)/4581 weeks
348.0566 -.37829 (348*2π)/4581 weeks
349.43118 -.33284 (349*2π)/4581 weeks
350.20199 -.12727 (350*2π)/4581 weeks
351.28484 -.30725 (351*2π)/4581 weeks
352.20098 -.04971 (352*2π)/4581 weeks
353.12496 -.43314 (353*2π)/4581 weeks
354.64047 -.06375 (354*2π)/4581 weeks
355-.24814 .31607 (355*2π)/4581 weeks
356-.22465 -.81999 (356*2π)/4581 weeks
357.68873 -.35012 (357*2π)/4581 weeks
358-.02302 -.03441 (358*2π)/4581 weeks
359.30441 -.61347 (359*2π)/4581 weeks
360.43937 .02111 (360*2π)/4581 weeks
361.05148 -.29081 (361*2π)/4581 weeks
362.48812 -.04077 (362*2π)/4581 weeks
363-.37899 .02261 (363*2π)/4581 weeks
364.25926 -.92582 (364*2π)/4581 weeks
365.55202 .39039 (365*2π)/4581 weeks
366-1.04022 -.52292 (366*2π)/4581 weeks
3671.00957 -1.68443 (367*2π)/4581 weeks
3681.1472 .81044 (368*2π)/4581 weeks
369-.81956 -.32196 (369*2π)/4581 weeks
3701.18212 -.95949 (370*2π)/4581 weeks
371.32461 1.05293 (371*2π)/4581 weeks
372-.79822 -.89241 (372*2π)/4581 weeks
3731.42415 -.5752 (373*2π)/4581 weeks
374-.19284 1.01337 (374*2π)/4581 weeks
375-.54329 -1.16623 (375*2π)/4581 weeks
3761.29765 -.15824 (376*2π)/4581 weeks
377-.64014 .6102 (377*2π)/4581 weeks
378-.09268 -1.41606 (378*2π)/4581 weeks
3791.21258 .18522 (379*2π)/4581 weeks
380-.79766 .31499 (380*2π)/4581 weeks
381.2741 -1.34356 (381*2π)/4581 weeks
382.96739 .61382 (382*2π)/4581 weeks
383-1.29776 .15383 (383*2π)/4581 weeks
384.07733 -1.77175 (384*2π)/4581 weeks
3851.09337 .10681 (385*2π)/4581 weeks
386-.84459 -.00356 (386*2π)/4581 weeks
387.14231 -1.6404 (387*2π)/4581 weeks
3881.13133 -.23926 (388*2π)/4581 weeks
389-.21845 -.08587 (389*2π)/4581 weeks
390.41665 -1.12955 (390*2π)/4581 weeks
3911.06607 -.03631 (391*2π)/4581 weeks
392-.0699 .21431 (392*2π)/4581 weeks
393.00832 -.60614 (393*2π)/4581 weeks
394.39828 -.34869 (394*2π)/4581 weeks
395.09345 -.38499 (395*2π)/4581 weeks
396.55121 -.5863 (396*2π)/4581 weeks
397.54396 .15951 (397*2π)/4581 weeks
398-.23068 -.11337 (398*2π)/4581 weeks
399.3567 -.57387 (399*2π)/4581 weeks
400.21536 .29612 (400*2π)/4581 weeks
401-.65312 -.40124 (401*2π)/4581 weeks
402.36162 -.85686 (402*2π)/4581 weeks
403.03503 .20313 (403*2π)/4581 weeks
404-.66094 -.86247 (404*2π)/4581 weeks
405.62204 -.8378 (405*2π)/4581 weeks
406-.23476 .15362 (406*2π)/4581 weeks
407-.67079 -1.26969 (407*2π)/4581 weeks
408.58968 -1.18358 (408*2π)/4581 weeks
409.28036 -.66012 (409*2π)/4581 weeks
410.58113 -.78179 (410*2π)/4581 weeks
411.08486 -.14002 (411*2π)/4581 weeks
412-.21576 -1.26371 (412*2π)/4581 weeks
4131.04968 -.83676 (413*2π)/4581 weeks
414-.03643 -.26263 (414*2π)/4581 weeks
415.70546 -1.52304 (415*2π)/4581 weeks
4161.42307 .55071 (416*2π)/4581 weeks
417-1.18537 .28104 (417*2π)/4581 weeks
418-.0378 -1.8558 (418*2π)/4581 weeks
419.93337 -.39592 (419*2π)/4581 weeks
420-.0048 -.44595 (420*2π)/4581 weeks
421.27582 -.37496 (421*2π)/4581 weeks
422-.63617 -.7729 (422*2π)/4581 weeks
423.77491 -1.5809 (423*2π)/4581 weeks
424.55186 .49933 (424*2π)/4581 weeks
425-1.13397 -1.07993 (425*2π)/4581 weeks
4261.01841 -1.17977 (426*2π)/4581 weeks
427-.96722 .37766 (427*2π)/4581 weeks
428-.96268 -2.95817 (428*2π)/4581 weeks
4291.83767 -1.22539 (429*2π)/4581 weeks
430-.97352 -.67658 (430*2π)/4581 weeks
4311.25504 -3.29915 (431*2π)/4581 weeks
4322.23237 .48055 (432*2π)/4581 weeks
433-.80955 -.76102 (433*2π)/4581 weeks
4342.09501 -1.19879 (434*2π)/4581 weeks
435-.6293 1.89821 (435*2π)/4581 weeks
436-2.14233 -2.59442 (436*2π)/4581 weeks
4371.88401 -1.48644 (437*2π)/4581 weeks
438-1.5882 .25856 (438*2π)/4581 weeks
439-.62763 -4.03197 (439*2π)/4581 weeks
4402.51824 -.97505 (440*2π)/4581 weeks
441-1.24726 .00718 (441*2π)/4581 weeks
442-.53303 -3.0775 (442*2π)/4581 weeks
4431.36445 -1.52763 (443*2π)/4581 weeks
444-.50847 .13815 (444*2π)/4581 weeks
445-3.51086 -1.72907 (445*2π)/4581 weeks
446-1.87661 -6.04047 (446*2π)/4581 weeks
4471.3999 -4.14929 (447*2π)/4581 weeks
448-1.99979 -4.44253 (448*2π)/4581 weeks
4492.03787 -9.86956 (449*2π)/4581 weeks
4507.27419 -4.02191 (450*2π)/4581 weeks
4511.9691 -2.04212 (451*2π)/4581 weeks
4524.70348 -5.09071 (452*2π)/4581 weeks
4533.7205 .34091 (453*2π)/4581 weeks
454-1.28306 -3.74599 (454*2π)/4581 weeks
4551.21093 -6.3024 (455*2π)/4581 weeks
456-1.84886 -12.43382 (456*2π)/4581 weeks