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Fourier Analysis of ASA (ASA Gold and Precious Metals L)


ASA (ASA Gold and Precious Metals L) appears to have interesting cyclic behaviour every 205 weeks (.9627*cosine), 108 weeks (.7471*sine), and 171 weeks (.651*cosine).

ASA (ASA Gold and Precious Metals L) has an average price of 9.82 (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.

Right click on the graph above to see the menu of operations (download, full screen, etc.)

Fourier Analysis

Using data from 1/3/1978 to 4/17/2017 for ASA (ASA Gold and Precious Metals L), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
09.81918   0 
11.83235 -6.1272 (1*2π)/20502,050 weeks
2-3.17636 -4.72449 (2*2π)/20501,025 weeks
3-2.0948 .72507 (3*2π)/2050683 weeks
4-.9179 -.03299 (4*2π)/2050513 weeks
5-.17243 .83518 (5*2π)/2050410 weeks
6.75603 -.23539 (6*2π)/2050342 weeks
7.86433 -.06974 (7*2π)/2050293 weeks
8.65608 -.92445 (8*2π)/2050256 weeks
9-.24268 -1.14386 (9*2π)/2050228 weeks
10-.96268 -.24801 (10*2π)/2050205 weeks
11.01596 -.01361 (11*2π)/2050186 weeks
12.65101 -.50042 (12*2π)/2050171 weeks
13.43449 -.27331 (13*2π)/2050158 weeks
14.16785 -.51994 (14*2π)/2050146 weeks
15-.04506 -.26994 (15*2π)/2050137 weeks
16.17738 -.12902 (16*2π)/2050128 weeks
17.48064 -.01978 (17*2π)/2050121 weeks
18-.04398 -.46133 (18*2π)/2050114 weeks
19-.47288 -.74714 (19*2π)/2050108 weeks
20-.21246 -.09839 (20*2π)/2050103 weeks
21.05093 -.15168 (21*2π)/205098 weeks
22-.08396 -.60502 (22*2π)/205093 weeks
23-.40638 -.2666 (23*2π)/205089 weeks
24-.40187 .17466 (24*2π)/205085 weeks
25.15589 .12099 (25*2π)/205082 weeks
26.19473 -.0859 (26*2π)/205079 weeks
27-.17375 -.44116 (27*2π)/205076 weeks
28-.24443 -.25696 (28*2π)/205073 weeks
29-.09259 -.02038 (29*2π)/205071 weeks
30.05646 -.03529 (30*2π)/205068 weeks
31-.00144 -.00131 (31*2π)/205066 weeks
32-.04882 -.34827 (32*2π)/205064 weeks
33-.39824 .06374 (33*2π)/205062 weeks
34-.24579 .39149 (34*2π)/205060 weeks
35.09943 .12763 (35*2π)/205059 weeks
36.08989 -.16631 (36*2π)/205057 weeks
37-.04818 -.1029 (37*2π)/205055 weeks
38.12032 -.03378 (38*2π)/205054 weeks
39.13108 -.08519 (39*2π)/205053 weeks
40-.09272 -.14967 (40*2π)/205051 weeks
41-.02692 .03341 (41*2π)/205050 weeks
42.11113 .04476 (42*2π)/205049 weeks
43.15753 .09237 (43*2π)/205048 weeks
44.18196 .00116 (44*2π)/205047 weeks
45.08767 -.21461 (45*2π)/205046 weeks
46-.03796 -.0863 (46*2π)/205045 weeks
47.0058 -.01017 (47*2π)/205044 weeks
48-.09305 -.14697 (48*2π)/205043 weeks
49.04205 -.06369 (49*2π)/205042 weeks
50.02158 -.06808 (50*2π)/205041 weeks
51-.14279 -.09621 (51*2π)/205040 weeks
52.07171 .03412 (52*2π)/205039 weeks
53.08344 -.08069 (53*2π)/205039 weeks
54.14017 -.11472 (54*2π)/205038 weeks
55.00563 -.1475 (55*2π)/205037 weeks
56.11021 -.12709 (56*2π)/205037 weeks
57.06356 .02757 (57*2π)/205036 weeks
58.11991 -.15657 (58*2π)/205035 weeks
59.0429 -.0348 (59*2π)/205035 weeks
60-.08992 -.01504 (60*2π)/205034 weeks
61-.02793 -.08906 (61*2π)/205034 weeks
62.06661 -.04126 (62*2π)/205033 weeks
63.07061 -.14006 (63*2π)/205033 weeks
64-.05364 -.16595 (64*2π)/205032 weeks
65-.16695 .04845 (65*2π)/205032 weeks
66.02532 .02399 (66*2π)/205031 weeks
67-.00047 -.08921 (67*2π)/205031 weeks
68.06375 -.15204 (68*2π)/205030 weeks
69.01777 -.1488 (69*2π)/205030 weeks
70-.09445 -.04154 (70*2π)/205029 weeks
71.03629 -.04312 (71*2π)/205029 weeks
72.04423 -.0217 (72*2π)/205028 weeks
73-.02652 -.0401 (73*2π)/205028 weeks
74.02083 .01137 (74*2π)/205028 weeks
75.00811 -.10432 (75*2π)/205027 weeks
76.05835 -.00026 (76*2π)/205027 weeks
77-.01409 -.11741 (77*2π)/205027 weeks
78-.00381 -.06128 (78*2π)/205026 weeks
79-.02395 -.1191 (79*2π)/205026 weeks
80-.05424 -.13779 (80*2π)/205026 weeks
81-.07529 -.12365 (81*2π)/205025 weeks
82-.09092 .04817 (82*2π)/205025 weeks
83-.09044 .03307 (83*2π)/205025 weeks
84.05347 .02386 (84*2π)/205024 weeks
85.11582 -.02505 (85*2π)/205024 weeks
86.017 -.11275 (86*2π)/205024 weeks
87-.01759 -.09552 (87*2π)/205024 weeks
88-.13703 -.08362 (88*2π)/205023 weeks
89-.0694 .00038 (89*2π)/205023 weeks
90.01853 -.00968 (90*2π)/205023 weeks
91.01026 -.11434 (91*2π)/205023 weeks
92-.10936 -.16512 (92*2π)/205022 weeks
93-.12008 -.03397 (93*2π)/205022 weeks
94.01036 .07097 (94*2π)/205022 weeks
95-.01223 -.01058 (95*2π)/205022 weeks
96-.01763 -.02706 (96*2π)/205021 weeks
97-.04035 -.01349 (97*2π)/205021 weeks
98.03043 .02985 (98*2π)/205021 weeks
99.04525 .02707 (99*2π)/205021 weeks
100-.00587 -.06906 (100*2π)/205021 weeks
101-.0561 -.0294 (101*2π)/205020 weeks
102.00778 .03625 (102*2π)/205020 weeks
103.0321 .04588 (103*2π)/205020 weeks
104.03982 -.06105 (104*2π)/205020 weeks
105.00265 -.12847 (105*2π)/205020 weeks
106-.05499 -.05542 (106*2π)/205019 weeks
107-.05754 -.02871 (107*2π)/205019 weeks
108-.01193 -.07804 (108*2π)/205019 weeks
109-.01192 -.01627 (109*2π)/205019 weeks
110.05432 -.0069 (110*2π)/205019 weeks
111.02693 -.04396 (111*2π)/205018 weeks
112-.04403 -.01896 (112*2π)/205018 weeks
113-.01468 -.03916 (113*2π)/205018 weeks
114-.01352 -.04416 (114*2π)/205018 weeks
115.00382 -.01889 (115*2π)/205018 weeks
116-.01579 -.0273 (116*2π)/205018 weeks
117-.0147 -.05076 (117*2π)/205018 weeks
118.00192 .04071 (118*2π)/205017 weeks
119.00303 -.02513 (119*2π)/205017 weeks
120-.05166 .04805 (120*2π)/205017 weeks
121-.02727 -.02624 (121*2π)/205017 weeks
122-.03388 -.01401 (122*2π)/205017 weeks
123.01502 .03369 (123*2π)/205017 weeks
124.03755 -.08149 (124*2π)/205017 weeks
125-.03073 -.08614 (125*2π)/205016 weeks
126-.03596 -.04697 (126*2π)/205016 weeks
127-.03423 .01307 (127*2π)/205016 weeks
128.0099 .0959 (128*2π)/205016 weeks
129.08956 -.05757 (129*2π)/205016 weeks
130-.03544 -.15966 (130*2π)/205016 weeks
131-.03996 -.01681 (131*2π)/205016 weeks
132-.0015 .01415 (132*2π)/205016 weeks
133-.03772 -.07155 (133*2π)/205015 weeks
134-.06402 .03429 (134*2π)/205015 weeks
135-.01955 .05735 (135*2π)/205015 weeks
136.01647 .01588 (136*2π)/205015 weeks
137.03532 -.01129 (137*2π)/205015 weeks
138-.04567 -.0333 (138*2π)/205015 weeks
139.03508 -.0497 (139*2π)/205015 weeks
140.02915 -.03482 (140*2π)/205015 weeks
141-.05477 -.0433 (141*2π)/205015 weeks
142-.04675 .05676 (142*2π)/205014 weeks
143.03331 .03453 (143*2π)/205014 weeks
144.01946 .01923 (144*2π)/205014 weeks
145.039 -.03987 (145*2π)/205014 weeks
146.05007 -.0215 (146*2π)/205014 weeks
147-.00813 -.05576 (147*2π)/205014 weeks
148-.03946 .00643 (148*2π)/205014 weeks
149.00296 .03605 (149*2π)/205014 weeks
150.02716 .00308 (150*2π)/205014 weeks
151-.00828 -.04641 (151*2π)/205014 weeks
152-.01743 -.03333 (152*2π)/205013 weeks
153.02925 -.02699 (153*2π)/205013 weeks
154-.00577 -.02784 (154*2π)/205013 weeks
155.01173 .0161 (155*2π)/205013 weeks
156.04637 -.02395 (156*2π)/205013 weeks
157.0246 -.00652 (157*2π)/205013 weeks
158.0107 -.01715 (158*2π)/205013 weeks
159.02684 .00754 (159*2π)/205013 weeks
160.04554 -.01488 (160*2π)/205013 weeks
161.05045 -.05803 (161*2π)/205013 weeks
162-.01319 -.06784 (162*2π)/205013 weeks
163-.0442 .01896 (163*2π)/205013 weeks
164.01168 -.01757 (164*2π)/205013 weeks
165.04277 -.05647 (165*2π)/205012 weeks
166-.01437 -.09132 (166*2π)/205012 weeks
167-.05316 .02986 (167*2π)/205012 weeks
168-.0076 -.01682 (168*2π)/205012 weeks
169.02178 -.03962 (169*2π)/205012 weeks
170-.02108 -.02808 (170*2π)/205012 weeks
171-.01084 -.03187 (171*2π)/205012 weeks
172.0413 -.00027 (172*2π)/205012 weeks
173.05133 -.04186 (173*2π)/205012 weeks
174.0153 -.04595 (174*2π)/205012 weeks
175-.02858 -.04346 (175*2π)/205012 weeks
176-.04154 -.05246 (176*2π)/205012 weeks
177-.03566 .0098 (177*2π)/205012 weeks
178.02818 -.00398 (178*2π)/205012 weeks
179.005 -.00569 (179*2π)/205011 weeks
180-.02481 -.02742 (180*2π)/205011 weeks
181-.01208 -.03997 (181*2π)/205011 weeks
182.00703 -.02653 (182*2π)/205011 weeks
183-.01835 -.02364 (183*2π)/205011 weeks
184.00465 -.05847 (184*2π)/205011 weeks
185-.01173 -.03864 (185*2π)/205011 weeks
186-.0264 -.03747 (186*2π)/205011 weeks
187-.04066 .01814 (187*2π)/205011 weeks
188-.01361 .01621 (188*2π)/205011 weeks
189.05807 -.02447 (189*2π)/205011 weeks
190-.01542 -.03931 (190*2π)/205011 weeks
191-.04285 -.00535 (191*2π)/205011 weeks
192.01184 .04096 (192*2π)/205011 weeks
193.0331 -.03556 (193*2π)/205011 weeks
194-.00171 -.03678 (194*2π)/205011 weeks
195-.00917 .00079 (195*2π)/205011 weeks
196.02978 -.00075 (196*2π)/205010 weeks
197.01352 -.06639 (197*2π)/205010 weeks
198-.04273 -.05976 (198*2π)/205010 weeks
199-.02796 -.01183 (199*2π)/205010 weeks
200-.01245 .01359 (200*2π)/205010 weeks
201.02788 .01421 (201*2π)/205010 weeks
202.05384 -.02221 (202*2π)/205010 weeks
203.0116 -.0272 (203*2π)/205010 weeks
204.00008 -.05805 (204*2π)/205010 weeks
205-.00605 -.04944 (205*2π)/205010 weeks
206-.02516 -.01134 (206*2π)/205010 weeks
207-.00536 -.00924 (207*2π)/205010 weeks
208-.01715 -.02639 (208*2π)/205010 weeks
209.0087 .01913 (209*2π)/205010 weeks
210.02081 -.01438 (210*2π)/205010 weeks
211.00217 -.05876 (211*2π)/205010 weeks
212-.02341 -.04416 (212*2π)/205010 weeks
213-.01746 -.01038 (213*2π)/205010 weeks
214-.01016 -.01474 (214*2π)/205010 weeks
215.01816 -.03007 (215*2π)/205010 weeks
216-.02416 -.04782 (216*2π)/20509 weeks
217-.03388 -.04327 (217*2π)/20509 weeks
218-.02472 -.01214 (218*2π)/20509 weeks
219-.03084 .02911 (219*2π)/20509 weeks
220-.01778 -.01384 (220*2π)/20509 weeks
221-.0074 .00299 (221*2π)/20509 weeks
222-.00681 .03713 (222*2π)/20509 weeks
223.01112 .01142 (223*2π)/20509 weeks
224.04124 -.02029 (224*2π)/20509 weeks
225-.01245 -.06277 (225*2π)/20509 weeks
226-.04222 -.01262 (226*2π)/20509 weeks
227-.04117 .02881 (227*2π)/20509 weeks
228.02988 .00452 (228*2π)/20509 weeks
229.03295 -.02965 (229*2π)/20509 weeks
230.00045 -.03249 (230*2π)/20509 weeks
231.00195 .00284 (231*2π)/20509 weeks
232-.00648 -.01304 (232*2π)/20509 weeks
233.01326 -.00797 (233*2π)/20509 weeks
234-.00042 -.02736 (234*2π)/20509 weeks
235.00504 .00766 (235*2π)/20509 weeks
236-.02227 .00403 (236*2π)/20509 weeks
237.02787 -.04906 (237*2π)/20509 weeks
238.02455 -.03368 (238*2π)/20509 weeks
239-.02165 -.0238 (239*2π)/20509 weeks
240-.01949 -.01382 (240*2π)/20509 weeks
241.00934 -.00653 (241*2π)/20509 weeks
242.00294 -.05524 (242*2π)/20508 weeks
243-.00704 -.04895 (243*2π)/20508 weeks
244-.02476 -.03901 (244*2π)/20508 weeks
245-.02356 -.01841 (245*2π)/20508 weeks
246-.01764 .0259 (246*2π)/20508 weeks
247.00419 -.01252 (247*2π)/20508 weeks
248.00048 -.03008 (248*2π)/20508 weeks
249-.02137 -.00688 (249*2π)/20508 weeks
250.01176 -.03326 (250*2π)/20508 weeks
251-.01661 -.00355 (251*2π)/20508 weeks
252-.01228 -.01463 (252*2π)/20508 weeks
253-.00564 -.0103 (253*2π)/20508 weeks
254.02519 -.05668 (254*2π)/20508 weeks
255-.03723 -.02909 (255*2π)/20508 weeks
256-.07176 -.02159 (256*2π)/20508 weeks
257-.00772 .06426 (257*2π)/20508 weeks
258.06382 .01201 (258*2π)/20508 weeks
259.01158 -.05874 (259*2π)/20508 weeks
260-.00916 -.0298 (260*2π)/20508 weeks
261-.01512 -.00829 (261*2π)/20508 weeks
262-.01156 -.01223 (262*2π)/20508 weeks
263-.00714 -.00353 (263*2π)/20508 weeks
264-.00927 .01132 (264*2π)/20508 weeks
265.00586 -.02781 (265*2π)/20508 weeks
266-.00539 -.0603 (266*2π)/20508 weeks
267-.04587 -.0325 (267*2π)/20508 weeks
268-.00274 .01386 (268*2π)/20508 weeks
269.02298 -.03257 (269*2π)/20508 weeks
270-.02842 -.02489 (270*2π)/20508 weeks
271-.02112 .00511 (271*2π)/20508 weeks
272-.03316 .01795 (272*2π)/20508 weeks
273.00407 .0089 (273*2π)/20508 weeks
274.0353 -.02025 (274*2π)/20507 weeks
275-.0186 -.029 (275*2π)/20507 weeks
276-.03148 -.01738 (276*2π)/20507 weeks
277-.00582 .01391 (277*2π)/20507 weeks
278.01091 .00388 (278*2π)/20507 weeks
279.02947 -.01212 (279*2π)/20507 weeks
280.00887 -.02751 (280*2π)/20507 weeks
281-.01124 -.01445 (281*2π)/20507 weeks
282-.00598 -.02042 (282*2π)/20507 weeks
283-.02463 -.03858 (283*2π)/20507 weeks
284-.02222 -.00783 (284*2π)/20507 weeks
285-.00538 -.00358 (285*2π)/20507 weeks
286.02499 -.02766 (286*2π)/20507 weeks
287.01055 -.03047 (287*2π)/20507 weeks
288-.03383 -.05245 (288*2π)/20507 weeks
289-.03544 -.01922 (289*2π)/20507 weeks
290-.03345 .03398 (290*2π)/20507 weeks
291.01503 .00936 (291*2π)/20507 weeks
292.01835 -.02217 (292*2π)/20507 weeks
293.0074 -.04491 (293*2π)/20507 weeks
294-.01382 -.01954 (294*2π)/20507 weeks
295-.03682 -.01639 (295*2π)/20507 weeks
296-.03875 -.01005 (296*2π)/20507 weeks
297-.00925 .03153 (297*2π)/20507 weeks
298.01426 .00165 (298*2π)/20507 weeks
299.01623 -.01901 (299*2π)/20507 weeks
300-.01547 -.01079 (300*2π)/20507 weeks
301-.02884 -.04635 (301*2π)/20507 weeks
302-.0332 -.02919 (302*2π)/20507 weeks
303-.03596 .01929 (303*2π)/20507 weeks
304-.01004 .0137 (304*2π)/20507 weeks
305.00912 -.01488 (305*2π)/20507 weeks
306.01647 .02061 (306*2π)/20507 weeks
307.00075 -.01831 (307*2π)/20507 weeks
308-.00927 -.03501 (308*2π)/20507 weeks
309-.01142 -.01486 (309*2π)/20507 weeks
310-.02867 -.01054 (310*2π)/20507 weeks
311-.03706 .01413 (311*2π)/20507 weeks
312.02078 .02074 (312*2π)/20507 weeks
313.02417 -.02316 (313*2π)/20507 weeks
314-.02112 -.0472 (314*2π)/20507 weeks
315-.03059 .01627 (315*2π)/20507 weeks
316-.01561 .00009 (316*2π)/20506 weeks
317.00036 -.01332 (317*2π)/20506 weeks
318-.01274 -.00954 (318*2π)/20506 weeks
319-.02597 -.00008 (319*2π)/20506 weeks
320.00605 .00557 (320*2π)/20506 weeks
321.00516 -.00315 (321*2π)/20506 weeks
322.01616 -.00141 (322*2π)/20506 weeks
323-.02119 -.01536 (323*2π)/20506 weeks
324-.03151 -.00522 (324*2π)/20506 weeks
325.02627 .02057 (325*2π)/20506 weeks
326.02855 -.02363 (326*2π)/20506 weeks
327-.00327 -.0328 (327*2π)/20506 weeks
328-.01212 -.01196 (328*2π)/20506 weeks
329-.00539 -.00663 (329*2π)/20506 weeks
330.00824 -.00674 (330*2π)/20506 weeks
331.00675 -.02617 (331*2π)/20506 weeks
332-.03477 -.03182 (332*2π)/20506 weeks
333-.0291 .02939 (333*2π)/20506 weeks
334.03054 .00385 (334*2π)/20506 weeks
335.01023 -.03286 (335*2π)/20506 weeks
336-.01862 -.04603 (336*2π)/20506 weeks
337-.0289 -.01046 (337*2π)/20506 weeks
338-.00484 .01397 (338*2π)/20506 weeks
339.02252 .00039 (339*2π)/20506 weeks
340.01157 -.02659 (340*2π)/20506 weeks
341-.0272 -.0408 (341*2π)/20506 weeks
342-.03328 .00567 (342*2π)/20506 weeks
343.00479 .02836 (343*2π)/20506 weeks
344.0246 -.01189 (344*2π)/20506 weeks
345.01758 -.0343 (345*2π)/20506 weeks
346-.01327 -.01849 (346*2π)/20506 weeks
347-.02747 -.00641 (347*2π)/20506 weeks
348-.01571 -.016 (348*2π)/20506 weeks
349-.00793 -.01582 (349*2π)/20506 weeks
350-.01734 -.02145 (350*2π)/20506 weeks
351-.02396 -.00998 (351*2π)/20506 weeks
352-.00748 -.00548 (352*2π)/20506 weeks
353-.00801 -.00345 (353*2π)/20506 weeks
354.00376 -.00683 (354*2π)/20506 weeks
355-.00244 -.00466 (355*2π)/20506 weeks
356-.00736 -.00804 (356*2π)/20506 weeks
357-.01682 -.00968 (357*2π)/20506 weeks
358.00475 -.00173 (358*2π)/20506 weeks
359-.01187 .00098 (359*2π)/20506 weeks
360-.01636 -.0123 (360*2π)/20506 weeks
361.0038 -.02973 (361*2π)/20506 weeks
362-.021 -.01299 (362*2π)/20506 weeks
363-.03201 -.00226 (363*2π)/20506 weeks
364-.02032 .00361 (364*2π)/20506 weeks
365.0062 .01378 (365*2π)/20506 weeks
366.02045 -.00587 (366*2π)/20506 weeks
367-.00329 -.03664 (367*2π)/20506 weeks
368-.02312 -.0052 (368*2π)/20506 weeks
369-.02102 -.00484 (369*2π)/20506 weeks
370-.0101 -.00267 (370*2π)/20506 weeks
371-.02735 .02596 (371*2π)/20506 weeks
372-.01334 .00639 (372*2π)/20506 weeks
373-.00798 -.00545 (373*2π)/20505 weeks
374-.00615 .00216 (374*2π)/20505 weeks
375-.00593 .00046 (375*2π)/20505 weeks
376-.01276 -.00129 (376*2π)/20505 weeks
377-.00491 -.00176 (377*2π)/20505 weeks
378.00633 -.01057 (378*2π)/20505 weeks
379-.03222 -.00106 (379*2π)/20505 weeks
380-.00317 .01053 (380*2π)/20505 weeks
381-.00677 .00703 (381*2π)/20505 weeks
382.00772 .02135 (382*2π)/20505 weeks
383.01399 .01541 (383*2π)/20505 weeks
384.00451 .00518 (384*2π)/20505 weeks
385.00217 .00814 (385*2π)/20505 weeks
386.02274 -.01519 (386*2π)/20505 weeks
387.00895 -.02145 (387*2π)/20505 weeks
388-.01186 -.00712 (388*2π)/20505 weeks
389-.00973 -.01577 (389*2π)/20505 weeks
390.00936 .01119 (390*2π)/20505 weeks
391.00049 .00158 (391*2π)/20505 weeks
392.01238 -.00344 (392*2π)/20505 weeks
393.01849 -.00895 (393*2π)/20505 weeks
394.01485 -.009 (394*2π)/20505 weeks
395.01367 -.01042 (395*2π)/20505 weeks
396.01257 -.02911 (396*2π)/20505 weeks
397-.02009 -.0227 (397*2π)/20505 weeks
398-.01714 -.01259 (398*2π)/20505 weeks
399-.0044 -.0069 (399*2π)/20505 weeks
400-.0081 .00987 (400*2π)/20505 weeks
401.01364 -.01787 (401*2π)/20505 weeks
402.00218 -.02608 (402*2π)/20505 weeks
403-.00242 -.01009 (403*2π)/20505 weeks
404-.00255 -.01353 (404*2π)/20505 weeks
405-.00959 -.0221 (405*2π)/20505 weeks
406.00214 -.00643 (406*2π)/20505 weeks
407-.00549 -.01628 (407*2π)/20505 weeks
408-.00272 -.01891 (408*2π)/20505 weeks
409-.00489 -.01972 (409*2π)/20505 weeks
410-.02031 -.01036 (410*2π)/20505 weeks
411-.01184 .01219 (411*2π)/20505 weeks
412.00777 .0061 (412*2π)/20505 weeks
413.01734 -.01641 (413*2π)/20505 weeks
414-.00273 -.02027 (414*2π)/20505 weeks
415-.03133 -.01585 (415*2π)/20505 weeks
416-.00237 .01513