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Fourier Analysis of AGQ (ProShares Ultra Silver ETF)


AGQ (ProShares Ultra Silver ETF) appears to have interesting cyclic behaviour every 25 weeks (9.9874*sine), 40 weeks (8.4058*sine), and 24 weeks (8.3755*cosine).

AGQ (ProShares Ultra Silver ETF) has an average price of 117.44 (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 12/4/2008 to 2/12/2018 for AGQ (ProShares Ultra Silver ETF), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
0117.4391   0 
1-33.26967 115.6174 (1*2π)/481481 weeks
2-49.68717 -24.64949 (2*2π)/481241 weeks
313.63432 -25.11594 (3*2π)/481160 weeks
422.22409 12.6254 (4*2π)/481120 weeks
5-8.8807 32.43386 (5*2π)/48196 weeks
6-24.98304 -12.22174 (6*2π)/48180 weeks
713.51696 -12.93978 (7*2π)/48169 weeks
84.68307 5.55607 (8*2π)/48160 weeks
9-1.26484 7.04722 (9*2π)/48153 weeks
10-6.47315 1.57309 (10*2π)/48148 weeks
115.37133 -4.7081 (11*2π)/48144 weeks
121.36349 8.40576 (12*2π)/48140 weeks
13-3.50208 -1.97589 (13*2π)/48137 weeks
14.50139 .67171 (14*2π)/48134 weeks
15-2.85768 3.21357 (15*2π)/48132 weeks
16-2.02606 -2.03236 (16*2π)/48130 weeks
172.36097 2.76252 (17*2π)/48128 weeks
18-6.82671 1.91754 (18*2π)/48127 weeks
193.47789 -9.98741 (19*2π)/48125 weeks
208.37555 5.96399 (20*2π)/48124 weeks
21-3.40173 6.74567 (21*2π)/48123 weeks
22-8.25236 -1.80687 (22*2π)/48122 weeks
233.6425 -6.40168 (23*2π)/48121 weeks
246.66749 4.10996 (24*2π)/48120 weeks
25-5.77285 7.15669 (25*2π)/48119 weeks
26-6.46538 -5.50148 (26*2π)/48119 weeks
275.27432 -3.99858 (27*2π)/48118 weeks
283.30149 5.35009 (28*2π)/48117 weeks
29-6.10297 3.65633 (29*2π)/48117 weeks
30-4.30779 -5.68463 (30*2π)/48116 weeks
315.39901 -3.61944 (31*2π)/48116 weeks
32-.06912 5.65673 (32*2π)/48115 weeks
33-5.53526 -1.85537 (33*2π)/48115 weeks
342.5738 -5.07338 (34*2π)/48114 weeks
353.74301 2.76916 (35*2π)/48114 weeks
36-1.83975 .2786 (36*2π)/48113 weeks
371.24636 -1.38312 (37*2π)/48113 weeks
38.21155 .97291 (38*2π)/48113 weeks
39.34177 .18127 (39*2π)/48112 weeks
40.40784 -.30587 (40*2π)/48112 weeks
411.79958 .9048 (41*2π)/48112 weeks
42-1.66389 .8383 (42*2π)/48111 weeks
431.07373 -1.55974 (43*2π)/48111 weeks
441.2941 2.96664 (44*2π)/48111 weeks
45-3.50423 1.23702 (45*2π)/48111 weeks
46.56589 -4.00432 (46*2π)/48110 weeks
473.25449 2.62515 (47*2π)/48110 weeks
48-3.75006 2.1695 (48*2π)/48110 weeks
49-1.98236 -2.09914 (49*2π)/48110 weeks
501.82531 -1.69359 (50*2π)/48110 weeks
513.5811 3.52613 (51*2π)/4819 weeks
52-5.03272 1.63027 (52*2π)/4819 weeks
53-.18195 -4.27965 (53*2π)/4819 weeks
543.30106 .26976 (54*2π)/4819 weeks
55-.14536 2.91408 (55*2π)/4819 weeks
56-2.50329 -.07298 (56*2π)/4819 weeks
57-.03361 -3.13135 (57*2π)/4818 weeks
583.81428 .42041 (58*2π)/4818 weeks
59-.8575 2.6616 (59*2π)/4818 weeks
60-.21196 .58421 (60*2π)/4818 weeks
61-1.23407 .27356 (61*2π)/4818 weeks
62.87467 -.68093 (62*2π)/4818 weeks
631.09181 1.92999 (63*2π)/4818 weeks
64-1.64622 .98314 (64*2π)/4818 weeks
65-2.01664 -1.54506 (65*2π)/4817 weeks
662.75778 -2.34456 (66*2π)/4817 weeks
672.4894 2.98297 (67*2π)/4817 weeks
68-3.56611 2.45155 (68*2π)/4817 weeks
69-2.16057 -2.81373 (69*2π)/4817 weeks
703.27786 -1.3716 (70*2π)/4817 weeks
71.59811 4.44264 (71*2π)/4817 weeks
72-4.70892 -.32036 (72*2π)/4817 weeks
731.22784 -4.67246 (73*2π)/4817 weeks
744.2067 2.25031 (74*2π)/4817 weeks
75-2.77253 3.2119 (75*2π)/4816 weeks
76-1.67375 -2.44298 (76*2π)/4816 weeks
772.75747 -.9702 (77*2π)/4816 weeks
78.53917 2.7341 (78*2π)/4816 weeks
79-2.87618 .77518 (79*2π)/4816 weeks
80-1.27468 -2.01973 (80*2π)/4816 weeks
811.44522 -1.57904 (81*2π)/4816 weeks
82.44007 1.53718 (82*2π)/4816 weeks
83-1.219 -.23659 (83*2π)/4816 weeks
84.26102 -1.75927 (84*2π)/4816 weeks
852.18792 -.22702 (85*2π)/4816 weeks
86.60091 2.33358 (86*2π)/4816 weeks
87-2.51633 -.04601 (87*2π)/4816 weeks
88-.07064 -1.9124 (88*2π)/4815 weeks
891.20932 .33662 (89*2π)/4815 weeks
90.05594 1.54331 (90*2π)/4815 weeks
91-1.3415 -.30137 (91*2π)/4815 weeks
92.35959 -1.05089 (92*2π)/4815 weeks
93.59907 -.18934 (93*2π)/4815 weeks
94-.05922 .97028 (94*2π)/4815 weeks
95-1.19401 -.47742 (95*2π)/4815 weeks
961.29198 -1.32154 (96*2π)/4815 weeks
971.56038 .94503 (97*2π)/4815 weeks
98-.27068 2.21701 (98*2π)/4815 weeks
99-1.375 -.83819 (99*2π)/4815 weeks
1001.24728 -.7018 (100*2π)/4815 weeks
101.7213 1.33664 (101*2π)/4815 weeks
102-1.18134 .76188 (102*2π)/4815 weeks
103-.77425 -.78606 (103*2π)/4815 weeks
104.56951 -.28458 (104*2π)/4815 weeks
105.10215 .41624 (105*2π)/4815 weeks
106-.33834 .26596 (106*2π)/4815 weeks
107-.33221 -.52038 (107*2π)/4814 weeks
1081.01822 -.532 (108*2π)/4814 weeks
109-.02041 1.1211 (109*2π)/4814 weeks
110-.51038 .04382 (110*2π)/4814 weeks
111-.16578 -.47632 (111*2π)/4814 weeks
112.51831 .10232 (112*2π)/4814 weeks
113.31314 .90678 (113*2π)/4814 weeks
114-1.5905 -.11949 (114*2π)/4814 weeks
115-.21196 -1.82548 (115*2π)/4814 weeks
1161.78942 -.3588 (116*2π)/4814 weeks
117.36887 2.33694 (117*2π)/4814 weeks
118-2.61915 -.1221 (118*2π)/4814 weeks
1191.05092 -2.68131 (119*2π)/4814 weeks
1202.60311 1.20841 (120*2π)/4814 weeks
121-1.40457 2.42082 (121*2π)/4814 weeks
122-1.96003 -1.52749 (122*2π)/4814 weeks
1231.80882 -1.43105 (123*2π)/4814 weeks
1241.03094 1.8323 (124*2π)/4814 weeks
125-1.54839 .15907 (125*2π)/4814 weeks
126.03867 -1.05956 (126*2π)/4814 weeks
127.8444 -.03827 (127*2π)/4814 weeks
128-.17715 .93322 (128*2π)/4814 weeks
129-.83725 -.49472 (129*2π)/4814 weeks
130.53384 -.78386 (130*2π)/4814 weeks
131.79051 -.0739 (131*2π)/4814 weeks
132.25942 .64953 (132*2π)/4814 weeks
133-.32279 -.07221 (133*2π)/4814 weeks
134.06166 -.23747 (134*2π)/4814 weeks
135.65254 .39203 (135*2π)/4814 weeks
136.13883 .90339 (136*2π)/4814 weeks
137-1.14795 .34345 (137*2π)/4814 weeks
138-.00009 -1.36784 (138*2π)/4813 weeks
1391.49345 .16958 (139*2π)/4813 weeks
140.11669 1.88321 (140*2π)/4813 weeks
141-1.68045 -.21166 (141*2π)/4813 weeks
142.26412 -1.39808 (142*2π)/4813 weeks
1431.4022 .2108 (143*2π)/4813 weeks
144-.37745 1.48461 (144*2π)/4813 weeks
145-1.34108 -.54453 (145*2π)/4813 weeks
146.6062 -1.14687 (146*2π)/4813 weeks
147.89012 .92246 (147*2π)/4813 weeks
148-1.32989 .44317 (148*2π)/4813 weeks
149.06215 -1.01898 (149*2π)/4813 weeks
1501.14005 .02631 (150*2π)/4813 weeks
151.12639 1.30008 (151*2π)/4813 weeks
152-.87817 -.02905 (152*2π)/4813 weeks
153.13997 -.64794 (153*2π)/4813 weeks
154.41199 .31094 (154*2π)/4813 weeks
155-.26759 .73442 (155*2π)/4813 weeks
156-.58062 -.28637 (156*2π)/4813 weeks
157.10114 .10092 (157*2π)/4813 weeks
158-.14602 -.38484 (158*2π)/4813 weeks
159.25313 -.18639 (159*2π)/4813 weeks
160-.29126 .05674 (160*2π)/4813 weeks
161.06185 .12701 (161*2π)/4813 weeks
162-.17939 -.18972 (162*2π)/4813 weeks
163.21709 .39411 (163*2π)/4813 weeks
164-.73061 -.08508 (164*2π)/4813 weeks
165.02257 -.97083 (165*2π)/4813 weeks
166.6112 .21868 (166*2π)/4813 weeks
167-.28873 .66115 (167*2π)/4813 weeks
168-.53682 -.42066 (168*2π)/4813 weeks
169.60956 -.36937 (169*2π)/4813 weeks
170.51748 .67132 (170*2π)/4813 weeks
171-.85535 .312 (171*2π)/4813 weeks
172-.50656 -.74428 (172*2π)/4813 weeks
173.43139 -.5402 (173*2π)/4813 weeks
174.44665 .0417 (174*2π)/4813 weeks
175.09782 .44321 (175*2π)/4813 weeks
176-.02488 -.00817 (176*2π)/4813 weeks
177-.03241 -.25901 (177*2π)/4813 weeks
178.70118 .04177 (178*2π)/4813 weeks
179-.25469 .7951 (179*2π)/4813 weeks
180-.68731 -.47924 (180*2π)/4813 weeks
181.63101 -.11089 (181*2π)/4813 weeks
182-.1566 .93871 (182*2π)/4813 weeks
183-.89106 -.28055 (183*2π)/4813 weeks
184-.04184 -1.15041 (184*2π)/4813 weeks
1851.12773 -.07276 (185*2π)/4813 weeks
186-.03012 1.29647 (186*2π)/4813 weeks
187-1.28632 -.55158 (187*2π)/4813 weeks
188.85276 -.96798 (188*2π)/4813 weeks
189.65888 .9996 (189*2π)/4813 weeks
190-.89128 .48528 (190*2π)/4813 weeks
191-.72609 -.80473 (191*2π)/4813 weeks
192.93105 -.99629 (192*2π)/4813 weeks
193.8459 .77767 (193*2π)/4812 weeks
194-.29462 .69855 (194*2π)/4812 weeks
195-.5424 .05966 (195*2π)/4812 weeks
196.01772 -.68329 (196*2π)/4812 weeks
197.66222 .13538 (197*2π)/4812 weeks
198-.32053 .78106 (198*2π)/4812 weeks
199-.58899 -.61272 (199*2π)/4812 weeks
200.66415 -.26616 (200*2π)/4812 weeks
201.55456 .5492 (201*2π)/4812 weeks
202-.68723 1.0187 (202*2π)/4812 weeks
203-1.01325 -.69259 (203*2π)/4812 weeks
204.69366 -.39691 (204*2π)/4812 weeks
205.10335 .5087 (205*2π)/4812 weeks
206-.52445 .52569 (206*2π)/4812 weeks
207-1.1567 -.95366 (207*2π)/4812 weeks
2081.00231 -1.32732 (208*2π)/4812 weeks
209.85232 .97409 (209*2π)/4812 weeks
210-1.15266 .60792 (210*2π)/4812 weeks
211-.51236 -1.51596 (211*2π)/4812 weeks
2121.55973 -.50303 (212*2π)/4812 weeks
213.57239 1.19133 (213*2π)/4812 weeks
214-1.07406 .18058 (214*2π)/4812 weeks
215-.20848 -.89811 (215*2π)/4812 weeks
216.82174 -.02939 (216*2π)/4812 weeks
217-.37151 .29346 (217*2π)/4812 weeks
218-.02579 -.59609 (218*2π)/4812 weeks
219.66721 -.18356 (219*2π)/4812 weeks
220.52389 .33517 (220*2π)/4812 weeks
221-.50302 .61295 (221*2π)/4812 weeks
222.1225 -.79351 (222*2π)/4812 weeks
2231.04631 .67036 (223*2π)/4812 weeks
224-.47945 .85959 (224*2π)/4812 weeks
225-.53416 -.40327 (225*2π)/4812 weeks
226.24945 -.36775 (226*2π)/4812 weeks
227.31059 .18379 (227*2π)/4812 weeks
228-.08125 .36059 (228*2π)/4812 weeks
229-.30838 -.06257 (229*2π)/4812 weeks
230-.15292 -.58231 (230*2π)/4812 weeks
231.53383 -.45917 (231*2π)/4812 weeks
2321.07125 .58399 (232*2π)/4812 weeks
233-.63178 1.60487 (233*2π)/4812 weeks
234-1.48094 -.97723 (234*2π)/4812 weeks
2351.24947 -.85718 (235*2π)/4812 weeks
236.33612 1.06283 (236*2π)/4812 weeks
237-1.10605 .06814 (237*2π)/4812 weeks
238.26105 -1.19581 (238*2π)/4812 weeks
2391.20864 .40418 (239*2π)/4812 weeks
240-.66978 .94609 (240*2π)/4812 weeks
241-.66978 -.94609 (241*2π)/4812 weeks
2421.20864 -.40418 (242*2π)/4812 weeks
243.26105 1.19581 (243*2π)/4812 weeks
244-1.10605 -.06814 (244*2π)/4812 weeks
245.33612 -1.06283 (245*2π)/4812 weeks
2461.24947 .85718 (246*2π)/4812 weeks
247-1.48094 .97723 (247*2π)/4812 weeks
248-.63178 -1.60487 (248*2π)/4812 weeks
2491.07125 -.58399 (249*2π)/4812 weeks
250.53383 .45917 (250*2π)/4812 weeks
251-.15292 .58231 (251*2π)/4812 weeks
252-.30838 .06257 (252*2π)/4812 weeks
253-.08125 -.36059 (253*2π)/4812 weeks
254.31059 -.18379 (254*2π)/4812 weeks
255.24945 .36775 (255*2π)/4812 weeks
256-.53416 .40327 (256*2π)/4812 weeks
257-.47945 -.85959 (257*2π)/4812 weeks
2581.04631 -.67036 (258*2π)/4812 weeks
259.1225 .79351 (259*2π)/4812 weeks
260-.50302 -.61295 (260*2π)/4812 weeks
261.52389 -.33517 (261*2π)/4812 weeks
262.66721 .18356 (262*2π)/4812 weeks
263-.02579 .59609 (263*2π)/4812 weeks
264-.37151 -.29346 (264*2π)/4812 weeks
265.82174 .02939 (265*2π)/4812 weeks
266-.20848 .89811 (266*2π)/4812 weeks
267-1.07406 -.18058 (267*2π)/4812 weeks
268.57239 -1.19133 (268*2π)/4812 weeks
2691.55973 .50303 (269*2π)/4812 weeks
270-.51236 1.51596 (270*2π)/4812 weeks
271-1.15266 -.60792 (271*2π)/4812 weeks
272.85232 -.97409 (272*2π)/4812 weeks
2731.00231 1.32732 (273*2π)/4812 weeks
274-1.1567 .95366 (274*2π)/4812 weeks
275-.52445 -.52569 (275*2π)/4812 weeks
276.10335 -.5087 (276*2π)/4812 weeks
277.69366 .39691 (277*2π)/4812 weeks
278-1.01325 .69259 (278*2π)/4812 weeks
279-.68723 -1.0187 (279*2π)/4812 weeks
280.55456 -.5492 (280*2π)/4812 weeks
281.66415 .26616 (281*2π)/4812 weeks
282-.58899 .61272 (282*2π)/4812 weeks
283-.32053 -.78106 (283*2π)/4812 weeks
284.66222 -.13538 (284*2π)/4812 weeks
285.01772 .68329 (285*2π)/4812 weeks
286-.5424 -.05966 (286*2π)/4812 weeks
287-.29462 -.69855 (287*2π)/4812 weeks
288.8459 -.77767 (288*2π)/4812 weeks
289.93105 .99629 (289*2π)/4812 weeks
290-.72609 .80473 (290*2π)/4812 weeks
291-.89128 -.48528 (291*2π)/4812 weeks
292.65888 -.9996 (292*2π)/4812 weeks
293.85276 .96798 (293*2π)/4812 weeks
294-1.28632 .55158 (294*2π)/4812 weeks
295-.03012 -1.29647 (295*2π)/4812 weeks
2961.12773 .07276 (296*2π)/4812 weeks
297-.04184 1.15041 (297*2π)/4812 weeks
298-.89106 .28055 (298*2π)/4812 weeks
299-.1566 -.93871 (299*2π)/4812 weeks
300.63101 .11089 (300*2π)/4812 weeks
301-.68731 .47924 (301*2π)/4812 weeks
302-.25469 -.7951 (302*2π)/4812 weeks
303.70118 -.04177 (303*2π)/4812 weeks
304-.03241 .25901 (304*2π)/4812 weeks
305-.02488 .00817 (305*2π)/4812 weeks
306.09782 -.44321 (306*2π)/4812 weeks
307.44665 -.0417 (307*2π)/4812 weeks
308.43139 .5402 (308*2π)/4812 weeks
309-.50656 .74428 (309*2π)/4812 weeks
310-.85535 -.312 (310*2π)/4812 weeks
311.51748 -.67132 (311*2π)/4812 weeks
312.60956 .36937 (312*2π)/4812 weeks
313-.53682 .42066 (313*2π)/4812 weeks
314-.28873 -.66115 (314*2π)/4812 weeks
315.6112 -.21868 (315*2π)/4812 weeks
316.02257 .97083 (316*2π)/4812 weeks
317-.73061 .08508 (317*2π)/4812 weeks
318.21709 -.39411 (318*2π)/4812 weeks
319-.17939 .18972 (319*2π)/4812 weeks
320.06185 -.12701 (320*2π)/4812 weeks
321-.29126 -.05674 (321*2π)/4811 weeks
322.25313 .18639 (322*2π)/4811 weeks
323-.14602 .38484 (323*2π)/4811 weeks
324.10114 -.10092 (324*2π)/4811 weeks
325-.58062 .28637 (325*2π)/4811 weeks
326-.26759 -.73442 (326*2π)/4811 weeks
327.41199 -.31094 (327*2π)/4811 weeks
328.13997 .64794 (328*2π)/4811 weeks
329-.87817 .02905 (329*2π)/4811 weeks
330.12639 -1.30008 (330*2π)/4811 weeks
3311.14005 -.02631 (331*2π)/4811 weeks
332.06215 1.01898 (332*2π)/4811 weeks
333-1.32989 -.44317 (333*2π)/4811 weeks
334.89012 -.92246 (334*2π)/4811 weeks
335.6062 1.14687 (335*2π)/4811 weeks
336-1.34108 .54453 (336*2π)/4811 weeks
337-.37745 -1.48461 (337*2π)/4811 weeks
3381.4022 -.2108 (338*2π)/4811 weeks
339.26412 1.39808 (339*2π)/4811 weeks
340-1.68045 .21166 (340*2π)/4811 weeks
341.11669 -1.88321 (341*2π)/4811 weeks
3421.49345 -.16958 (342*2π)/4811 weeks
343-.00009 1.36784 (343*2π)/4811 weeks
344-1.14795 -.34345 (344*2π)/4811 weeks
345.13883 -.90339 (345*2π)/4811 weeks
346.65254 -.39203 (346*2π)/4811 weeks
347.06166 .23747 (347*2π)/4811 weeks
348-.32279 .07221 (348*2π)/4811 weeks
349.25942 -.64953 (349*2π)/4811 weeks
350.79051 .0739 (350*2π)/4811 weeks
351.53384 .78386 (351*2π)/4811 weeks
352-.83725 .49472 (352*2π)/4811 weeks
353-.17715 -.93322 (353*2π)/4811 weeks
354.8444 .03827 (354*2π)/4811 weeks
355.03867 1.05956 (355*2π)/4811 weeks
356-1.54839 -.15907 (356*2π)/4811 weeks
3571.03094 -1.8323 (357*2π)/4811 weeks
3581.80882 1.43105 (358*2π)/4811 weeks
359-1.96003 1.52749 (359*2π)/4811 weeks
360-1.40457 -2.42082 (360*2π)/4811 weeks
3612.60311 -1.20841 (361*2π)/4811 weeks
3621.05092 2.68131 (362*2π)/4811 weeks
363-2.61915 .1221 (363*2π)/4811 weeks
364.36887 -2.33694 (364*2π)/4811 weeks
3651.78942 .3588 (365*2π)/4811 weeks
366-.21196 1.82548 (366*2π)/4811 weeks
367-1.5905 .11949 (367*2π)/4811 weeks
368.31314 -.90678 (368*2π)/4811 weeks
369.51831 -.10232 (369*2π)/4811 weeks
370-.16578 .47632 (370*2π)/4811 weeks
371-.51038 -.04382 (371*2π)/4811 weeks
372-.02041 -1.1211 (372*2π)/4811 weeks
3731.01822 .532 (373*2π)/4811 weeks
374-.33221 .52038 (374*2π)/4811 weeks
375-.33834 -.26596 (375*2π)/4811 weeks
376.10215 -.41624 (376*2π)/4811 weeks
377.56951 .28458 (377*2π)/4811 weeks
378-.77425 .78606 (378*2π)/4811 weeks
379-1.18134 -.76188 (379*2π)/4811 weeks
380.7213 -1.33664 (380*2π)/4811 weeks
3811.24728 .7018 (381*2π)/4811 weeks
382-1.375 .83819 (382*2π)/4811 weeks
383-.27068 -2.21701 (383*2π)/4811 weeks
3841.56038 -.94503 (384*2π)/4811 weeks
3851.29198 1.32154 (385*2π)/4811 weeks
386-1.19401 .47742 (386*2π)/4811 weeks
387-.05922 -.97028 (387*2π)/4811 weeks
388.59907 .18934 (388*2π)/4811 weeks
389.35959 1.05089 (389*2π)/4811 weeks
390-1.3415 .30137 (390*2π)/4811 weeks
391.05594 -1.54331 (391*2π)/4811 weeks
3921.20932 -.33662 (392*2π)/4811 weeks
393-.07064 1.9124 (393*2π)/4811 weeks
394-2.51633 .04601 (394*2π)/4811 weeks
395.60091 -2.33358 (395*2π)/4811 weeks
3962.18792 .22702 (396*2π)/4811 weeks
397.26102 1.75927 (397*2π)/4811 weeks
398-1.219 .23659 (398*2π)/4811 weeks
399.44007 -1.53718 (399*2π)/4811 weeks
4001.44522 1.57904 (400*2π)/4811 weeks
401-1.27468 2.01973 (401*2π)/4811 weeks
402-2.87618 -.77518 (402*2π)/4811 weeks
403.53917 -2.7341 (403*2π)/4811 weeks
4042.75747 .9702 (404*2π)/4811 weeks
405-1.67375 2.44298 (405*2π)/4811 weeks
406-2.77253 -3.2119 (406*2π)/4811 weeks
4074.2067 -2.25031 (407*2π)/4811 weeks
4081.22784 4.67246 (408*2π)/4811 weeks
409-4.70892 .32036 (409*2π)/4811 weeks
410.59811 -4.44264 (410*2π)/4811 weeks
4113.27786 1.3716 (411*2π)/4811 weeks
412-2.16057 2.81373 (412*2π)/4811 weeks
413-3.56611 -2.45155 (413*2π)/4811 weeks
4142.4894 -2.98297 (414*2π)/4811 weeks
4152.75778 2.34456 (415*2π)/4811 weeks
416-2.01664 1.54506 (416*2π)/4811 weeks
417-1.64622 -.98314 (417*2π)/4811 weeks
4181.09181 -1.92999 (418*2π)/4811 weeks
419.87467 .68093 (419*2π)/4811 weeks
420-1.23407 -.27356 (420*2π)/4811 weeks
421-.21196 -.58421 (421*2π)/4811 weeks
422-.8575 -2.6616 (422*2π)/4811 weeks
4233.81428 -.42041 (423*2π)/4811 weeks
424-.03361 3.13135 (424*2π)/4811 weeks
425-2.50329 .07298 (425*2π)/4811 weeks
426-.14536 -2.91408 (426*2π)/4811 weeks
4273.30106 -.26976 (427*2π)/4811 weeks
428-.18195 4.27965 (428*2π)/4811 weeks
429-5.03272 -1.63027 (429*2π)/4811 weeks
4303.5811 -3.52613 (430*2π)/4811 weeks
4311.82531 1.69359 (431*2π)/4811 weeks
432-1.98236 2.09914 (432*2π)/4811 weeks
433-3.75006 -2.1695 (433*2π)/4811 weeks
4343.25449 -2.62515 (434*2π)/4811 weeks
435.56589 4.00432 (435*2π)/4811 weeks
436-3.50423 -1.23702 (436*2π)/4811 weeks
4371.2941 -2.96664 (437*2π)/4811 weeks
4381.07373 1.55974 (438*2π)/4811 weeks
439-1.66389 -.8383 (439*2π)/4811 weeks
4401.79958 -.9048 (440*2π)/4811 weeks
441.40784 .30587 (441*2π)/4811 weeks
442.34177 -.18127 (442*2π)/4811 weeks
443.21155 -.97291 (443*2π)/4811 weeks
4441.24636 1.38312 (444*2π)/4811 weeks
445-1.83975 -.2786 (445*2π)/4811 weeks
4463.74301 -2.76916 (446*2π)/4811 weeks
4472.5738 5.07338 (447*2π)/4811 weeks
448-5.53526 1.85537 (448*2π)/4811 weeks
449-.06912 -5.65673 (449*2π)/4811 weeks
4505.39901 3.61944 (450*2π)/4811 weeks
451-4.30779 5.68463 (451*2π)/4811 weeks
452-6.10297 -3.65633 (452*2π)/4811 weeks
4533.30149 -5.35009 (453*2π)/4811 weeks
4545.27432 3.99858 (454*2π)/4811 weeks
455-6.46538 5.50148 (455*2π)/4811 weeks
456-5.77285 -7.15669 (456*2π)/4811 weeks
4576.66749 -4.10996 (457*2π)/4811 weeks
4583.6425 6.40168 (458*2π)/4811 weeks
459-8.25236 1.80687 (459*2π)/4811 weeks
460-3.40173 -6.74567 (460*2π)/4811 weeks
4618.37555 -5.96399 (461*2π)/4811 weeks
4623.47789 9.98741 (462*2π)/4811 weeks
463-6.82671 -1.91754 (463*2π)/4811 weeks
4642.36097 -2.76252 (464*2π)/4811 weeks
465-2.02606 2.03236 (465*2π)/4811 weeks
466-2.85768 -3.21357 (466*2π)/4811 weeks
467.50139 -.67171 (467*2π)/4811 weeks
468-3.50208 1.97589 (468*2π)/4811 weeks
4691.36349 -8.40576 (469*2π)/4811 weeks
4705.37133 4.7081 (470*2π)/4811 weeks
471-6.47315 -1.57309 (471*2π)/4811 weeks
472-1.26484 -7.04722 (472*2π)/4811 weeks
4734.68307 -5.55607 (473*2π)/4811 weeks
47413.51696 12.93978 (474*2π)/4811 weeks
475-24.98304 12.22174 (475*2π)/4811 weeks
476-8.8807 -32.43386 (476*2π)/4811 weeks
47722.22409 -12.6254 (477*2π)/4811 weeks
47813.63432 25.11594 (478*2π)/4811 weeks
479-49.68717 24.64949 (479*2π)/4811 weeks



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