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# Fourier Analysis of PHYS (Sprott Physical Gold Trust)

PHYS (Sprott Physical Gold Trust) appears to have interesting cyclic behaviour every 21 weeks (.1501*sine), 25 weeks (.142*cosine), and 24 weeks (.1417*cosine).

PHYS (Sprott Physical Gold Trust) has an average price of 11.49 (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 2/26/2010 to 4/16/2018 for PHYS (Sprott Physical Gold Trust), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
011.48931   0
1.17755 2.19186 (1*2π)/426426 weeks
2-.89221 -.13113 (2*2π)/426213 weeks
3-.08429 -.30146 (3*2π)/426142 weeks
4.08954 .25061 (4*2π)/426107 weeks
5.1627 -.29606 (5*2π)/42685 weeks
6.14062 .06526 (6*2π)/42671 weeks
7-.3834 .22281 (7*2π)/42661 weeks
8-.04208 .00667 (8*2π)/42653 weeks
9.11835 -.05517 (9*2π)/42647 weeks
10-.04078 .00835 (10*2π)/42643 weeks
11-.03563 -.10295 (11*2π)/42639 weeks
12-.03781 .07696 (12*2π)/42636 weeks
13-.06571 .02333 (13*2π)/42633 weeks
14-.08237 .05413 (14*2π)/42630 weeks
15-.03783 -.07178 (15*2π)/42628 weeks
16.11934 -.1114 (16*2π)/42627 weeks
17-.14202 .06838 (17*2π)/42625 weeks
18-.14167 -.07055 (18*2π)/42624 weeks
19-.09581 .02421 (19*2π)/42622 weeks
20-.03109 -.15007 (20*2π)/42621 weeks
21-.05631 -.03772 (21*2π)/42620 weeks
22.05688 .00511 (22*2π)/42619 weeks
23.01995 -.01453 (23*2π)/42619 weeks
24-.07907 -.01206 (24*2π)/42618 weeks
25-.0331 .00668 (25*2π)/42617 weeks
26.01903 -.03788 (26*2π)/42616 weeks
27-.00507 -.05805 (27*2π)/42616 weeks
28.0773 -.06867 (28*2π)/42615 weeks
29-.01283 .01962 (29*2π)/42615 weeks
30-.0501 -.01734 (30*2π)/42614 weeks
31-.04459 -.06816 (31*2π)/42614 weeks
32.04823 -.06614 (32*2π)/42613 weeks
33.1097 .00359 (33*2π)/42613 weeks
34-.00036 .03583 (34*2π)/42613 weeks
35-.00295 .01156 (35*2π)/42612 weeks
36-.07581 -.02102 (36*2π)/42612 weeks
37.03204 -.06273 (37*2π)/42612 weeks
38.08111 -.01968 (38*2π)/42611 weeks
39.00994 .00732 (39*2π)/42611 weeks
40-.0045 .02303 (40*2π)/42611 weeks
41-.04685 -.06499 (41*2π)/42610 weeks
42.03028 -.06808 (42*2π)/42610 weeks
43-.00563 .01418 (43*2π)/42610 weeks
44-.03099 .00707 (44*2π)/42610 weeks
45.03614 .0478 (45*2π)/4269 weeks
46-.03822 -.04459 (46*2π)/4269 weeks
47-.01256 -.05431 (47*2π)/4269 weeks
48.0331 .00718 (48*2π)/4269 weeks
49.0405 .00362 (49*2π)/4269 weeks
50.02338 -.01162 (50*2π)/4269 weeks
51.0043 .05128 (51*2π)/4268 weeks
52-.04457 .00593 (52*2π)/4268 weeks
53.03937 .01408 (53*2π)/4268 weeks
54-.01851 .03095 (54*2π)/4268 weeks
55.00311 .01468 (55*2π)/4268 weeks
56.00603 -.02149 (56*2π)/4268 weeks
57-.02962 .01651 (57*2π)/4267 weeks
58.00676 -.03453 (58*2π)/4267 weeks
59-.03038 -.01971 (59*2π)/4267 weeks
60-.02008 .02023 (60*2π)/4267 weeks
61-.01803 .01546 (61*2π)/4267 weeks
62-.02154 -.01742 (62*2π)/4267 weeks
63-.01426 -.05039 (63*2π)/4267 weeks
64.02585 -.04023 (64*2π)/4267 weeks
65.02441 .0121 (65*2π)/4267 weeks
66-.02256 .00363 (66*2π)/4266 weeks
67-.00165 -.02501 (67*2π)/4266 weeks
68-.03613 -.04062 (68*2π)/4266 weeks
69.00587 -.0137 (69*2π)/4266 weeks
70.014 .02526 (70*2π)/4266 weeks
71-.00325 -.01423 (71*2π)/4266 weeks
72.01893 .01505 (72*2π)/4266 weeks
73-.03931 .00108 (73*2π)/4266 weeks
74-.01046 -.01084 (74*2π)/4266 weeks
75.01273 .01013 (75*2π)/4266 weeks
76-.0154 -.02152 (76*2π)/4266 weeks
77.04431 -.01306 (77*2π)/4266 weeks
78.02306 .0073 (78*2π)/4265 weeks
79.00533 -.01537 (79*2π)/4265 weeks
80-.0069 .0226 (80*2π)/4265 weeks
81-.0144 -.02223 (81*2π)/4265 weeks
82.04177 -.0022 (82*2π)/4265 weeks
83-.00136 -.00189 (83*2π)/4265 weeks
84-.00753 -.02365 (84*2π)/4265 weeks
85.01214 .03501 (85*2π)/4265 weeks
86-.01694 -.00221 (86*2π)/4265 weeks
87.00681 .05131 (87*2π)/4265 weeks
88-.00543 .01844 (88*2π)/4265 weeks
89-.00087 -.00997 (89*2π)/4265 weeks
90-.01087 .00263 (90*2π)/4265 weeks
91-.00081 .00446 (91*2π)/4265 weeks
92-.01025 .01094 (92*2π)/4265 weeks
93-.01263 -.00235 (93*2π)/4265 weeks
94-.01188 .00557 (94*2π)/4265 weeks
95.01276 .0055 (95*2π)/4264 weeks
96-.01218 .00082 (96*2π)/4264 weeks
97.00954 .01662 (97*2π)/4264 weeks
98-.02615 .00732 (98*2π)/4264 weeks
99-.03146 .00762 (99*2π)/4264 weeks
100.00569 -.02909 (100*2π)/4264 weeks
101-.02366 .0021 (101*2π)/4264 weeks
102-.03662 .01479 (102*2π)/4264 weeks
103-.02524 .01852 (103*2π)/4264 weeks
104-.0266 -.05073 (104*2π)/4264 weeks
105.02464 -.04772 (105*2π)/4264 weeks
106.00993 .00427 (106*2π)/4264 weeks
107.00438 .01573 (107*2π)/4264 weeks
108-.0258 .00747 (108*2π)/4264 weeks
109-.04217 -.02042 (109*2π)/4264 weeks
110-.02112 -.0427 (110*2π)/4264 weeks
111.02316 -.01709 (111*2π)/4264 weeks
112-.00694 .00633 (112*2π)/4264 weeks
113-.01033 -.00378 (113*2π)/4264 weeks
114-.00142 -.01409 (114*2π)/4264 weeks
115-.01148 -.02081 (115*2π)/4264 weeks
116.01534 .00299 (116*2π)/4264 weeks
117-.00329 -.00554 (117*2π)/4264 weeks
118.00898 .00545 (118*2π)/4264 weeks
119.01159 -.00241 (119*2π)/4264 weeks
120-.01085 -.00354 (120*2π)/4264 weeks
121.01307 .00655 (121*2π)/4264 weeks
122-.02992 .01143 (122*2π)/4263 weeks
123-.00199 -.0147 (123*2π)/4263 weeks
124-.02488 -.00385 (124*2π)/4263 weeks
125.00641 .0014 (125*2π)/4263 weeks
126-.00072 .00004 (126*2π)/4263 weeks
127.01819 -.00935 (127*2π)/4263 weeks
128.00596 .00742 (128*2π)/4263 weeks
129.00223 .00071 (129*2π)/4263 weeks
130-.00742 .00138 (130*2π)/4263 weeks
131-.00024 -.00826 (131*2π)/4263 weeks
132-.00382 .01294 (132*2π)/4263 weeks
133-.01406 .00753 (133*2π)/4263 weeks
134-.0042 .02074 (134*2π)/4263 weeks
135-.01444 -.00545 (135*2π)/4263 weeks
136-.00842 -.00532 (136*2π)/4263 weeks
137-.01109 -.00086 (137*2π)/4263 weeks
138-.00643 -.00901 (138*2π)/4263 weeks
139.00362 .01956 (139*2π)/4263 weeks
140-.00877 -.0027 (140*2π)/4263 weeks
141-.00345 -.01424 (141*2π)/4263 weeks
142-.02375 -.0052 (142*2π)/4263 weeks
143-.00369 -.01926 (143*2π)/4263 weeks
144-.00179 -.00147 (144*2π)/4263 weeks
145-.00988 -.00504 (145*2π)/4263 weeks
146-.00996 -.00471 (146*2π)/4263 weeks
147-.00482 -.0006 (147*2π)/4263 weeks
148.00285 -.00743 (148*2π)/4263 weeks
149.00319 .00629 (149*2π)/4263 weeks
150-.00259 .00551 (150*2π)/4263 weeks
151-.02111 .00003 (151*2π)/4263 weeks
152-.00705 -.0141 (152*2π)/4263 weeks
153-.00016 .00097 (153*2π)/4263 weeks
154.00095 .01514 (154*2π)/4263 weeks
155.00687 -.00058 (155*2π)/4263 weeks
156-.00569 -.00595 (156*2π)/4263 weeks
157-.00291 .00377 (157*2π)/4263 weeks
158-.02115 .01693 (158*2π)/4263 weeks
159-.02387 .00728 (159*2π)/4263 weeks
160.00421 -.01911 (160*2π)/4263 weeks
161.01186 -.00452 (161*2π)/4263 weeks
162-.00763 .00458 (162*2π)/4263 weeks
163.00799 .02684 (163*2π)/4263 weeks
164-.01267 .00474 (164*2π)/4263 weeks
165-.01176 -.01946 (165*2π)/4263 weeks
166.0092 -.00451 (166*2π)/4263 weeks
167.01399 .0083 (167*2π)/4263 weeks
168-.00325 -.00157 (168*2π)/4263 weeks
169.00088 .00104 (169*2π)/4263 weeks
170-.00576 .01658 (170*2π)/4263 weeks
171-.00987 -.00248 (171*2π)/4262 weeks
172-.00521 -.00223 (172*2π)/4262 weeks
173-.01546 .00274 (173*2π)/4262 weeks
174-.00661 -.00748 (174*2π)/4262 weeks
175-.00765 -.01992 (175*2π)/4262 weeks
176.01233 .00578 (176*2π)/4262 weeks
177-.00717 .00643 (177*2π)/4262 weeks
178-.01364 -.00922 (178*2π)/4262 weeks
179-.00965 -.00829 (179*2π)/4262 weeks
180-.00645 -.00468 (180*2π)/4262 weeks
181.01118 .00659 (181*2π)/4262 weeks
182-.01343 .00017 (182*2π)/4262 weeks
183.00125 -.02371 (183*2π)/4262 weeks
184.01147 .00486 (184*2π)/4262 weeks
185-.00978 .01209 (185*2π)/4262 weeks
186-.01472 -.00326 (186*2π)/4262 weeks
187-.01329 -.01574 (187*2π)/4262 weeks
188.00399 -.00662 (188*2π)/4262 weeks
189.00653 -.00329 (189*2π)/4262 weeks
190-.02651 -.00256 (190*2π)/4262 weeks
191-.00304 -.00865 (191*2π)/4262 weeks
192-.00688 -.0055 (192*2π)/4262 weeks
193-.00264 -.00237 (193*2π)/4262 weeks
194.00795 -.00259 (194*2π)/4262 weeks
195-.0049 -.00212 (195*2π)/4262 weeks
196.00435 .01105 (196*2π)/4262 weeks
197-.01645 .01419 (197*2π)/4262 weeks
198-.00946 -.01157 (198*2π)/4262 weeks
199.00021 -.01778 (199*2π)/4262 weeks
200.00738 -.00484 (200*2π)/4262 weeks
201-.00219 -.0007 (201*2π)/4262 weeks
202.00307 .00214 (202*2π)/4262 weeks
203-.01278 .00202 (203*2π)/4262 weeks
204-.00405 .00037 (204*2π)/4262 weeks
205.00315 -.00702 (205*2π)/4262 weeks
206.01176 .01022 (206*2π)/4262 weeks
207-.01998 .01292 (207*2π)/4262 weeks
208-.02343 -.0182 (208*2π)/4262 weeks
209.00447 -.0085 (209*2π)/4262 weeks
210.01233 -.00817 (210*2π)/4262 weeks
211-.00477 .01093 (211*2π)/4262 weeks
212-.01224 .00402 (212*2π)/4262 weeks
213-.00914   (213*2π)/4262 weeks
214-.01224 -.00402 (214*2π)/4262 weeks
215-.00477 -.01093 (215*2π)/4262 weeks
216.01233 .00817 (216*2π)/4262 weeks
217.00447 .0085 (217*2π)/4262 weeks
218-.02343 .0182 (218*2π)/4262 weeks
219-.01998 -.01292 (219*2π)/4262 weeks
220.01176 -.01022 (220*2π)/4262 weeks
221.00315 .00702 (221*2π)/4262 weeks
222-.00405 -.00037 (222*2π)/4262 weeks
223-.01278 -.00202 (223*2π)/4262 weeks
224.00307 -.00214 (224*2π)/4262 weeks
225-.00219 .0007 (225*2π)/4262 weeks
226.00738 .00484 (226*2π)/4262 weeks
227.00021 .01778 (227*2π)/4262 weeks
228-.00946 .01157 (228*2π)/4262 weeks
229-.01645 -.01419 (229*2π)/4262 weeks
230.00435 -.01105 (230*2π)/4262 weeks
231-.0049 .00212 (231*2π)/4262 weeks
232.00795 .00259 (232*2π)/4262 weeks
233-.00264 .00237 (233*2π)/4262 weeks
234-.00688 .0055 (234*2π)/4262 weeks
235-.00304 .00865 (235*2π)/4262 weeks
236-.02651 .00256 (236*2π)/4262 weeks
237.00653 .00329 (237*2π)/4262 weeks
238.00399 .00662 (238*2π)/4262 weeks
239-.01329 .01574 (239*2π)/4262 weeks
240-.01472 .00326 (240*2π)/4262 weeks
241-.00978 -.01209 (241*2π)/4262 weeks
242.01147 -.00486 (242*2π)/4262 weeks
243.00125 .02371 (243*2π)/4262 weeks
244-.01343 -.00017 (244*2π)/4262 weeks
245.01118 -.00659 (245*2π)/4262 weeks
246-.00645 .00468 (246*2π)/4262 weeks
247-.00965 .00829 (247*2π)/4262 weeks
248-.01364 .00922 (248*2π)/4262 weeks
249-.00717 -.00643 (249*2π)/4262 weeks
250.01233 -.00578 (250*2π)/4262 weeks
251-.00765 .01992 (251*2π)/4262 weeks
252-.00661 .00748 (252*2π)/4262 weeks
253-.01546 -.00274 (253*2π)/4262 weeks
254-.00521 .00223 (254*2π)/4262 weeks
255-.00987 .00248 (255*2π)/4262 weeks
256-.00576 -.01658 (256*2π)/4262 weeks
257.00088 -.00104 (257*2π)/4262 weeks
258-.00325 .00157 (258*2π)/4262 weeks
259.01399 -.0083 (259*2π)/4262 weeks
260.0092 .00451 (260*2π)/4262 weeks
261-.01176 .01946 (261*2π)/4262 weeks
262-.01267 -.00474 (262*2π)/4262 weeks
263.00799 -.02684 (263*2π)/4262 weeks
264-.00763 -.00458 (264*2π)/4262 weeks
265.01186 .00452 (265*2π)/4262 weeks
266.00421 .01911 (266*2π)/4262 weeks
267-.02387 -.00728 (267*2π)/4262 weeks
268-.02115 -.01693 (268*2π)/4262 weeks
269-.00291 -.00377 (269*2π)/4262 weeks
270-.00569 .00595 (270*2π)/4262 weeks
271.00687 .00058 (271*2π)/4262 weeks
272.00095 -.01514 (272*2π)/4262 weeks
273-.00016 -.00097 (273*2π)/4262 weeks
274-.00705 .0141 (274*2π)/4262 weeks
275-.02111 -.00003 (275*2π)/4262 weeks
276-.00259 -.00551 (276*2π)/4262 weeks
277.00319 -.00629 (277*2π)/4262 weeks
278.00285 .00743 (278*2π)/4262 weeks
279-.00482 .0006 (279*2π)/4262 weeks
280-.00996 .00471 (280*2π)/4262 weeks
281-.00988 .00504 (281*2π)/4262 weeks
282-.00179 .00147 (282*2π)/4262 weeks
283-.00369 .01926 (283*2π)/4262 weeks
284-.02375 .0052 (284*2π)/4262 weeks
285-.00345 .01424 (285*2π)/4261 weeks
286-.00877 .0027 (286*2π)/4261 weeks
287.00362 -.01956 (287*2π)/4261 weeks
288-.00643 .00901 (288*2π)/4261 weeks
289-.01109 .00086 (289*2π)/4261 weeks
290-.00842 .00532 (290*2π)/4261 weeks
291-.01444 .00545 (291*2π)/4261 weeks
292-.0042 -.02074 (292*2π)/4261 weeks
293-.01406 -.00753 (293*2π)/4261 weeks
294-.00382 -.01294 (294*2π)/4261 weeks
295-.00024 .00826 (295*2π)/4261 weeks
296-.00742 -.00138 (296*2π)/4261 weeks
297.00223 -.00071 (297*2π)/4261 weeks
298.00596 -.00742 (298*2π)/4261 weeks
299.01819 .00935 (299*2π)/4261 weeks
300-.00072 -.00004 (300*2π)/4261 weeks
301.00641 -.0014 (301*2π)/4261 weeks
302-.02488 .00385 (302*2π)/4261 weeks
303-.00199 .0147 (303*2π)/4261 weeks
304-.02992 -.01143 (304*2π)/4261 weeks
305.01307 -.00655 (305*2π)/4261 weeks
306-.01085 .00354 (306*2π)/4261 weeks
307.01159 .00241 (307*2π)/4261 weeks
308.00898 -.00545 (308*2π)/4261 weeks
309-.00329 .00554 (309*2π)/4261 weeks
310.01534 -.00299 (310*2π)/4261 weeks
311-.01148 .02081 (311*2π)/4261 weeks
312-.00142 .01409 (312*2π)/4261 weeks
313-.01033 .00378 (313*2π)/4261 weeks
314-.00694 -.00633 (314*2π)/4261 weeks
315.02316 .01709 (315*2π)/4261 weeks
316-.02112 .0427 (316*2π)/4261 weeks
317-.04217 .02042 (317*2π)/4261 weeks
318-.0258 -.00747 (318*2π)/4261 weeks
319.00438 -.01573 (319*2π)/4261 weeks
320.00993 -.00427 (320*2π)/4261 weeks
321.02464 .04772 (321*2π)/4261 weeks
322-.0266 .05073 (322*2π)/4261 weeks
323-.02524 -.01852 (323*2π)/4261 weeks
324-.03662 -.01479 (324*2π)/4261 weeks
325-.02366 -.0021 (325*2π)/4261 weeks
326.00569 .02909 (326*2π)/4261 weeks
327-.03146 -.00762 (327*2π)/4261 weeks
328-.02615 -.00732 (328*2π)/4261 weeks
329.00954 -.01662 (329*2π)/4261 weeks
330-.01218 -.00082 (330*2π)/4261 weeks
331.01276 -.0055 (331*2π)/4261 weeks
332-.01188 -.00557 (332*2π)/4261 weeks
333-.01263 .00235 (333*2π)/4261 weeks
334-.01025 -.01094 (334*2π)/4261 weeks
335-.00081 -.00446 (335*2π)/4261 weeks
336-.01087 -.00263 (336*2π)/4261 weeks
337-.00087 .00997 (337*2π)/4261 weeks
338-.00543 -.01844 (338*2π)/4261 weeks
339.00681 -.05131 (339*2π)/4261 weeks
340-.01694 .00221 (340*2π)/4261 weeks
341.01214 -.03501 (341*2π)/4261 weeks
342-.00753 .02365 (342*2π)/4261 weeks
343-.00136 .00189 (343*2π)/4261 weeks
344.04177 .0022 (344*2π)/4261 weeks
345-.0144 .02223 (345*2π)/4261 weeks
346-.0069 -.0226 (346*2π)/4261 weeks
347.00533 .01537 (347*2π)/4261 weeks
348.02306 -.0073 (348*2π)/4261 weeks
349.04431 .01306 (349*2π)/4261 weeks
350-.0154 .02152 (350*2π)/4261 weeks
351.01273 -.01013 (351*2π)/4261 weeks
352-.01046 .01084 (352*2π)/4261 weeks
353-.03931 -.00108 (353*2π)/4261 weeks
354.01893 -.01505 (354*2π)/4261 weeks
355-.00325 .01423 (355*2π)/4261 weeks
356.014 -.02526 (356*2π)/4261 weeks
357.00587 .0137 (357*2π)/4261 weeks
358-.03613 .04062 (358*2π)/4261 weeks
359-.00165 .02501 (359*2π)/4261 weeks
360-.02256 -.00363 (360*2π)/4261 weeks
361.02441 -.0121 (361*2π)/4261 weeks
362.02585 .04023 (362*2π)/4261 weeks
363-.01426 .05039 (363*2π)/4261 weeks
364-.02154 .01742 (364*2π)/4261 weeks
365-.01803 -.01546 (365*2π)/4261 weeks
366-.02008 -.02023 (366*2π)/4261 weeks
367-.03038 .01971 (367*2π)/4261 weeks
368.00676 .03453 (368*2π)/4261 weeks
369-.02962 -.01651 (369*2π)/4261 weeks
370.00603 .02149 (370*2π)/4261 weeks
371.00311 -.01468 (371*2π)/4261 weeks
372-.01851 -.03095 (372*2π)/4261 weeks
373.03937 -.01408 (373*2π)/4261 weeks
374-.04457 -.00593 (374*2π)/4261 weeks
375.0043 -.05128 (375*2π)/4261 weeks
376.02338 .01162 (376*2π)/4261 weeks
377.0405 -.00362 (377*2π)/4261 weeks
378.0331 -.00718 (378*2π)/4261 weeks
379-.01256 .05431 (379*2π)/4261 weeks
380-.03822 .04459 (380*2π)/4261 weeks
381.03614 -.0478 (381*2π)/4261 weeks
382-.03099 -.00707 (382*2π)/4261 weeks
383-.00563 -.01418 (383*2π)/4261 weeks
384.03028 .06808 (384*2π)/4261 weeks
385-.04685 .06499 (385*2π)/4261 weeks
386-.0045 -.02303 (386*2π)/4261 weeks
387.00994 -.00732 (387*2π)/4261 weeks
388.08111 .01968 (388*2π)/4261 weeks
389.03204 .06273 (389*2π)/4261 weeks
390-.07581 .02102 (390*2π)/4261 weeks
391-.00295 -.01156 (391*2π)/4261 weeks
392-.00036 -.03583 (392*2π)/4261 weeks
393.1097 -.00359 (393*2π)/4261 weeks
394.04823 .06614 (394*2π)/4261 weeks
395-.04459 .06816 (395*2π)/4261 weeks
396-.0501 .01734 (396*2π)/4261 weeks
397-.01283 -.01962 (397*2π)/4261 weeks
398.0773 .06867 (398*2π)/4261 weeks
399-.00507 .05805 (399*2π)/4261 weeks
400.01903 .03788 (400*2π)/4261 weeks
401-.0331 -.00668 (401*2π)/4261 weeks
402-.07907 .01206 (402*2π)/4261 weeks
403.01995 .01453 (403*2π)/4261 weeks
404.05688 -.00511 (404*2π)/4261 weeks
405-.05631 .03772 (405*2π)/4261 weeks
406-.03109 .15007 (406*2π)/4261 weeks
407-.09581 -.02421 (407*2π)/4261 weeks
408-.14167 .07055 (408*2π)/4261 weeks
409-.14202 -.06838 (409*2π)/4261 weeks
410.11934 .1114 (410*2π)/4261 weeks
411-.03783 .07178 (411*2π)/4261 weeks
412-.08237 -.05413 (412*2π)/4261 weeks
413-.06571 -.02333 (413*2π)/4261 weeks
414-.03781 -.07696 (414*2π)/4261 weeks
415-.03563 .10295 (415*2π)/4261 weeks
416-.04078 -.00835 (416*2π)/4261 weeks
417.11835 .05517 (417*2π)/4261 weeks
418-.04208 -.00667 (418*2π)/4261 weeks
419-.3834 -.22281 (419*2π)/4261 weeks
420.14062 -.06526 (420*2π)/4261 weeks
421.1627 .29606 (421*2π)/4261 weeks
422.08954 -.25061 (422*2π)/4261 weeks
423-.08429 .30146 (423*2π)/4261 weeks
424-.89221 .13113 (424*2π)/4261 weeks