Back to list of Stocks    See Also: Seasonal Analysis of CPIGenetic Algorithms Stock Portfolio Generator, and Best Months to Buy/Sell Stocks

# Fourier Analysis of CPI (IQ Real Return ETF)

CPI (IQ Real Return ETF) appears to have interesting cyclic behaviour every 44 weeks (.1062*sine), 40 weeks (.0994*sine), and 28 weeks (.042*cosine).

CPI (IQ Real Return ETF) has an average price of 25.99 (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 10/27/2009 to 4/16/2018 for CPI (IQ Real Return ETF), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
025.98978   0
1-.02863 -.6456 (1*2π)/443443 weeks
2-.00317 -.50813 (2*2π)/443222 weeks
3.16319 -.42116 (3*2π)/443148 weeks
4-.07396 -.15426 (4*2π)/443111 weeks
5.03546 -.23928 (5*2π)/44389 weeks
6-.01254 -.1678 (6*2π)/44374 weeks
7-.0066 -.20226 (7*2π)/44363 weeks
8.02719 -.07339 (8*2π)/44355 weeks
9.0412 -.08374 (9*2π)/44349 weeks
10-.00189 -.10616 (10*2π)/44344 weeks
11-.01109 -.09935 (11*2π)/44340 weeks
12-.01215 -.08893 (12*2π)/44337 weeks
13-.02303 -.03704 (13*2π)/44334 weeks
14.00793 -.08031 (14*2π)/44332 weeks
15.01333 -.05173 (15*2π)/44330 weeks
16-.042 -.0644 (16*2π)/44328 weeks
17.01077 -.06686 (17*2π)/44326 weeks
18.00435 -.0452 (18*2π)/44325 weeks
19-.02707 -.02744 (19*2π)/44323 weeks
20-.01473 -.00709 (20*2π)/44322 weeks
21-.00161 -.06399 (21*2π)/44321 weeks
22.00311 -.0557 (22*2π)/44320 weeks
23-.0231 -.04019 (23*2π)/44319 weeks
24.00558 -.00714 (24*2π)/44318 weeks
25.00679 -.03546 (25*2π)/44318 weeks
26-.00598 -.03627 (26*2π)/44317 weeks
27.00885 -.02221 (27*2π)/44316 weeks
28-.00014 -.0332 (28*2π)/44316 weeks
29.00217 -.03312 (29*2π)/44315 weeks
30-.01492 -.01235 (30*2π)/44315 weeks
31-.01693 -.03744 (31*2π)/44314 weeks
32.00468 -.01871 (32*2π)/44314 weeks
33-.01147 -.03093 (33*2π)/44313 weeks
34.00492 -.00793 (34*2π)/44313 weeks
35-.02457 -.03746 (35*2π)/44313 weeks
36-.01661 -.02151 (36*2π)/44312 weeks
37.00754 -.01536 (37*2π)/44312 weeks
38.00022 -.04138 (38*2π)/44312 weeks
39-.01677 -.00486 (39*2π)/44311 weeks
40-.00472 -.04347 (40*2π)/44311 weeks
41.00256 -.01924 (41*2π)/44311 weeks
42-.01013 -.01207 (42*2π)/44311 weeks
43-.01331 -.01045 (43*2π)/44310 weeks
44-.00541 -.01801 (44*2π)/44310 weeks
45-.01125 -.03214 (45*2π)/44310 weeks
46-.0211 -.00824 (46*2π)/44310 weeks
47.00022 -.02196 (47*2π)/4439 weeks
48-.01904 -.00695 (48*2π)/4439 weeks
49-.01301 -.02307 (49*2π)/4439 weeks
50.00492 -.01789 (50*2π)/4439 weeks
51-.00529 -.00903 (51*2π)/4439 weeks
52-.00647 -.02069 (52*2π)/4439 weeks
53-.01645 .00224 (53*2π)/4438 weeks
54-.01082 -.02238 (54*2π)/4438 weeks
55.00361 -.0029 (55*2π)/4438 weeks
56-.01238 -.00215 (56*2π)/4438 weeks
57-.0067 -.01285 (57*2π)/4438 weeks
58-.00412 -.01089 (58*2π)/4438 weeks
59-.00063 -.01521 (59*2π)/4438 weeks
60-.00711 -.00867 (60*2π)/4437 weeks
61-.00725 -.01603 (61*2π)/4437 weeks
62-.00954 -.00912 (62*2π)/4437 weeks
63-.00012 -.01328 (63*2π)/4437 weeks
64.00062 -.01165 (64*2π)/4437 weeks
65-.00155 -.00434 (65*2π)/4437 weeks
66-.00296 -.01071 (66*2π)/4437 weeks
67-.01056 -.01627 (67*2π)/4437 weeks
68-.00387 -.02909 (68*2π)/4437 weeks
69-.0074 -.01671 (69*2π)/4436 weeks
70-.0123 -.02587 (70*2π)/4436 weeks
71-.00468 -.00975 (71*2π)/4436 weeks
72.00166 -.02574 (72*2π)/4436 weeks
73-.01051 -.01241 (73*2π)/4436 weeks
74-.00777 -.01353 (74*2π)/4436 weeks
75-.00414 -.00907 (75*2π)/4436 weeks
76-.01534 -.00609 (76*2π)/4436 weeks
77-.0086 -.01441 (77*2π)/4436 weeks
78-.01373 -.01087 (78*2π)/4436 weeks
79-.00667 -.01503 (79*2π)/4436 weeks
80-.00959 -.012 (80*2π)/4436 weeks
81-.00621 -.01266 (81*2π)/4435 weeks
82-.01609 -.01944 (82*2π)/4435 weeks
83-.01625 -.00957 (83*2π)/4435 weeks
84-.00499 -.01746 (84*2π)/4435 weeks
85.00012 -.00744 (85*2π)/4435 weeks
86-.01874 -.01157 (86*2π)/4435 weeks
87-.00393 -.00651 (87*2π)/4435 weeks
88-.01208 -.01372 (88*2π)/4435 weeks
89-.00638 -.00941 (89*2π)/4435 weeks
90-.01123 -.00104 (90*2π)/4435 weeks
91-.00818 -.01113 (91*2π)/4435 weeks
92.00121 -.00789 (92*2π)/4435 weeks
93-.01348 -.01236 (93*2π)/4435 weeks
94.00232 -.0032 (94*2π)/4435 weeks
95.00033 -.01328 (95*2π)/4435 weeks
96-.00447 -.01169 (96*2π)/4435 weeks
97-.00751 -.00609 (97*2π)/4435 weeks
98.00402 -.01567 (98*2π)/4435 weeks
99-.00263 -.0068 (99*2π)/4434 weeks
100-.00529 -.01371 (100*2π)/4434 weeks
101-.00153 -.0073 (101*2π)/4434 weeks
102.0021 -.01418 (102*2π)/4434 weeks
103-.0085 -.00962 (103*2π)/4434 weeks
104.00132 -.0127 (104*2π)/4434 weeks
105-.00899 -.01614 (105*2π)/4434 weeks
106-.00878 -.00437 (106*2π)/4434 weeks
107-.00025 -.00935 (107*2π)/4434 weeks
108-.00545 -.02093 (108*2π)/4434 weeks
109.00092 -.0049 (109*2π)/4434 weeks
110-.00233 -.0043 (110*2π)/4434 weeks
111-.00833 -.00543 (111*2π)/4434 weeks
112-.01452 -.00712 (112*2π)/4434 weeks
113.0016 -.01501 (113*2π)/4434 weeks
114-.01296 -.00789 (114*2π)/4434 weeks
115-.01481 -.00565 (115*2π)/4434 weeks
116-.01258 -.00164 (116*2π)/4434 weeks
117.00366 -.00835 (117*2π)/4434 weeks
118-.01328 -.00626 (118*2π)/4434 weeks
119-.00909 -.0053 (119*2π)/4434 weeks
120-.00712 -.00587 (120*2π)/4434 weeks
121-.00763 -.00536 (121*2π)/4434 weeks
122-.0092 .00395 (122*2π)/4434 weeks
123-.01082 -.0034 (123*2π)/4434 weeks
124.00323 -.007 (124*2π)/4434 weeks
125-.00773 -.00886 (125*2π)/4434 weeks
126-.00557 .00293 (126*2π)/4434 weeks
127-.00813 .0032 (127*2π)/4433 weeks
128-.01548 -.00711 (128*2π)/4433 weeks
129-.00868 .00019 (129*2π)/4433 weeks
130.00014 -.00495 (130*2π)/4433 weeks
131-.00549 -.00679 (131*2π)/4433 weeks
132-.00276 .00057 (132*2π)/4433 weeks
133-.00224 .00318 (133*2π)/4433 weeks
134-.00644 .00073 (134*2π)/4433 weeks
135-.00601 -.00105 (135*2π)/4433 weeks
136-.01112 .00489 (136*2π)/4433 weeks
137-.00467 .00023 (137*2π)/4433 weeks
138-.00823 -.0086 (138*2π)/4433 weeks
139-.01013 .00096 (139*2π)/4433 weeks
140-.00097 -.00756 (140*2π)/4433 weeks
141-.00563 -.00459 (141*2π)/4433 weeks
142-.00562 -.00397 (142*2π)/4433 weeks
143-.00407 -.00626 (143*2π)/4433 weeks
144-.00604 -.00529 (144*2π)/4433 weeks
145-.00294 -.01005 (145*2π)/4433 weeks
146-.00111 -.00988 (146*2π)/4433 weeks
147-.00414 -.00668 (147*2π)/4433 weeks
148-.00655 -.00374 (148*2π)/4433 weeks
149-.01 -.00017 (149*2π)/4433 weeks
150-.00373 -.00829 (150*2π)/4433 weeks
151-.01066 -.00169 (151*2π)/4433 weeks
152-.0122 -.00401 (152*2π)/4433 weeks
153-.00873 -.00921 (153*2π)/4433 weeks
154-.01503 -.00509 (154*2π)/4433 weeks
155-.00628 -.00222 (155*2π)/4433 weeks
156-.0119 -.00653 (156*2π)/4433 weeks
157-.01579 -.00987 (157*2π)/4433 weeks
158-.00953 -.00228 (158*2π)/4433 weeks
159-.01571 -.0031 (159*2π)/4433 weeks
160-.00101 .00007 (160*2π)/4433 weeks
161-.01021 -.00815 (161*2π)/4433 weeks
162-.01092 -.00209 (162*2π)/4433 weeks
163-.01251 .00302 (163*2π)/4433 weeks
164-.01587 -.00642 (164*2π)/4433 weeks
165-.00893 -.01036 (165*2π)/4433 weeks
166-.00537 -.00563 (166*2π)/4433 weeks
167-.0078 .00344 (167*2π)/4433 weeks
168-.00534 -.00326 (168*2π)/4433 weeks
169-.0069 -.00567 (169*2π)/4433 weeks
170-.00614 -.0019 (170*2π)/4433 weeks
171-.00638 .00052 (171*2π)/4433 weeks
172-.00393 .0009 (172*2π)/4433 weeks
173-.00987 -.00621 (173*2π)/4433 weeks
174-.00257 -.00295 (174*2π)/4433 weeks
175-.00265 .00204 (175*2π)/4433 weeks
176-.00241 -.00436 (176*2π)/4433 weeks
177-.00551 .00407 (177*2π)/4433 weeks
178-.00455 -.0027 (178*2π)/4432 weeks
179-.01106 -.0021 (179*2π)/4432 weeks
180-.00797 -.00752 (180*2π)/4432 weeks
181-.0016 .00236 (181*2π)/4432 weeks
182-.00362 -.00556 (182*2π)/4432 weeks
183-.00029 -.00508 (183*2π)/4432 weeks
184-.00409 -.00181 (184*2π)/4432 weeks
185-.00404 .00253 (185*2π)/4432 weeks
186-.00804 -.00649 (186*2π)/4432 weeks
187-.00444 -.00554 (187*2π)/4432 weeks
188-.00526 .00379 (188*2π)/4432 weeks
189-.00567 .0037 (189*2π)/4432 weeks
190-.005 -.00712 (190*2π)/4432 weeks
191-.00984 -.00354 (191*2π)/4432 weeks
192-.00735 -.00548 (192*2π)/4432 weeks
193-.0026 -.00591 (193*2π)/4432 weeks
194-.0063 -.00606 (194*2π)/4432 weeks
195-.01132 -.00076 (195*2π)/4432 weeks
196-.00516 -.00452 (196*2π)/4432 weeks
197.00019 -.00028 (197*2π)/4432 weeks
198-.00455 .00387 (198*2π)/4432 weeks
199-.00418 -.00697 (199*2π)/4432 weeks
200-.00781 .0079 (200*2π)/4432 weeks
201-.0047 .00272 (201*2π)/4432 weeks
202-.01191 .00356 (202*2π)/4432 weeks
203-.0095 -.00242 (203*2π)/4432 weeks
204-.00373 .0029 (204*2π)/4432 weeks
205-.00645 .00387 (205*2π)/4432 weeks
206-.01392 -.00254 (206*2π)/4432 weeks
207-.00945 -.00176 (207*2π)/4432 weeks
208-.00912 .00338 (208*2π)/4432 weeks
209-.00007 .00018 (209*2π)/4432 weeks
210-.00798 -.00382 (210*2π)/4432 weeks
211-.00976 -.00125 (211*2π)/4432 weeks
212-.00559 .00552 (212*2π)/4432 weeks
213-.00271 -.00137 (213*2π)/4432 weeks
214-.00421 .00491 (214*2π)/4432 weeks
215-.01359 -.00209 (215*2π)/4432 weeks
216-.00407 .00239 (216*2π)/4432 weeks
217-.00758 -.00107 (217*2π)/4432 weeks
218-.01309 -.00491 (218*2π)/4432 weeks
219-.01034 -.00088 (219*2π)/4432 weeks
220-.00048 -.00537 (220*2π)/4432 weeks
221-.00636 .00052 (221*2π)/4432 weeks
222-.00636 -.00052 (222*2π)/4432 weeks
223-.00048 .00537 (223*2π)/4432 weeks
224-.01034 .00088 (224*2π)/4432 weeks
225-.01309 .00491 (225*2π)/4432 weeks
226-.00758 .00107 (226*2π)/4432 weeks
227-.00407 -.00239 (227*2π)/4432 weeks
228-.01359 .00209 (228*2π)/4432 weeks
229-.00421 -.00491 (229*2π)/4432 weeks
230-.00271 .00137 (230*2π)/4432 weeks
231-.00559 -.00552 (231*2π)/4432 weeks
232-.00976 .00125 (232*2π)/4432 weeks
233-.00798 .00382 (233*2π)/4432 weeks
234-.00007 -.00018 (234*2π)/4432 weeks
235-.00912 -.00338 (235*2π)/4432 weeks
236-.00945 .00176 (236*2π)/4432 weeks
237-.01392 .00254 (237*2π)/4432 weeks
238-.00645 -.00387 (238*2π)/4432 weeks
239-.00373 -.0029 (239*2π)/4432 weeks
240-.0095 .00242 (240*2π)/4432 weeks
241-.01191 -.00356 (241*2π)/4432 weeks
242-.0047 -.00272 (242*2π)/4432 weeks
243-.00781 -.0079 (243*2π)/4432 weeks
244-.00418 .00697 (244*2π)/4432 weeks
245-.00455 -.00387 (245*2π)/4432 weeks
246.00019 .00028 (246*2π)/4432 weeks
247-.00516 .00452 (247*2π)/4432 weeks
248-.01132 .00076 (248*2π)/4432 weeks
249-.0063 .00606 (249*2π)/4432 weeks
250-.0026 .00591 (250*2π)/4432 weeks
251-.00735 .00548 (251*2π)/4432 weeks
252-.00984 .00354 (252*2π)/4432 weeks
253-.005 .00712 (253*2π)/4432 weeks
254-.00567 -.0037 (254*2π)/4432 weeks
255-.00526 -.00379 (255*2π)/4432 weeks
256-.00444 .00554 (256*2π)/4432 weeks
257-.00804 .00649 (257*2π)/4432 weeks
258-.00404 -.00253 (258*2π)/4432 weeks
259-.00409 .00181 (259*2π)/4432 weeks
260-.00029 .00508 (260*2π)/4432 weeks
261-.00362 .00556 (261*2π)/4432 weeks
262-.0016 -.00236 (262*2π)/4432 weeks
263-.00797 .00752 (263*2π)/4432 weeks
264-.01106 .0021 (264*2π)/4432 weeks
265-.00455 .0027 (265*2π)/4432 weeks
266-.00551 -.00407 (266*2π)/4432 weeks
267-.00241 .00436 (267*2π)/4432 weeks
268-.00265 -.00204 (268*2π)/4432 weeks
269-.00257 .00295 (269*2π)/4432 weeks
270-.00987 .00621 (270*2π)/4432 weeks
271-.00393 -.0009 (271*2π)/4432 weeks
272-.00638 -.00052 (272*2π)/4432 weeks
273-.00614 .0019 (273*2π)/4432 weeks
274-.0069 .00567 (274*2π)/4432 weeks
275-.00534 .00326 (275*2π)/4432 weeks
276-.0078 -.00344 (276*2π)/4432 weeks
277-.00537 .00563 (277*2π)/4432 weeks
278-.00893 .01036 (278*2π)/4432 weeks
279-.01587 .00642 (279*2π)/4432 weeks
280-.01251 -.00302 (280*2π)/4432 weeks
281-.01092 .00209 (281*2π)/4432 weeks
282-.01021 .00815 (282*2π)/4432 weeks
283-.00101 -.00007 (283*2π)/4432 weeks
284-.01571 .0031 (284*2π)/4432 weeks
285-.00953 .00228 (285*2π)/4432 weeks
286-.01579 .00987 (286*2π)/4432 weeks
287-.0119 .00653 (287*2π)/4432 weeks
288-.00628 .00222 (288*2π)/4432 weeks
289-.01503 .00509 (289*2π)/4432 weeks
290-.00873 .00921 (290*2π)/4432 weeks
291-.0122 .00401 (291*2π)/4432 weeks
292-.01066 .00169 (292*2π)/4432 weeks
293-.00373 .00829 (293*2π)/4432 weeks
294-.01 .00017 (294*2π)/4432 weeks
295-.00655 .00374 (295*2π)/4432 weeks
296-.00414 .00668 (296*2π)/4431 weeks
297-.00111 .00988 (297*2π)/4431 weeks
298-.00294 .01005 (298*2π)/4431 weeks
299-.00604 .00529 (299*2π)/4431 weeks
300-.00407 .00626 (300*2π)/4431 weeks
301-.00562 .00397 (301*2π)/4431 weeks
302-.00563 .00459 (302*2π)/4431 weeks
303-.00097 .00756 (303*2π)/4431 weeks
304-.01013 -.00096 (304*2π)/4431 weeks
305-.00823 .0086 (305*2π)/4431 weeks
306-.00467 -.00023 (306*2π)/4431 weeks
307-.01112 -.00489 (307*2π)/4431 weeks
308-.00601 .00105 (308*2π)/4431 weeks
309-.00644 -.00073 (309*2π)/4431 weeks
310-.00224 -.00318 (310*2π)/4431 weeks
311-.00276 -.00057 (311*2π)/4431 weeks
312-.00549 .00679 (312*2π)/4431 weeks
313.00014 .00495 (313*2π)/4431 weeks
314-.00868 -.00019 (314*2π)/4431 weeks
315-.01548 .00711 (315*2π)/4431 weeks
316-.00813 -.0032 (316*2π)/4431 weeks
317-.00557 -.00293 (317*2π)/4431 weeks
318-.00773 .00886 (318*2π)/4431 weeks
319.00323 .007 (319*2π)/4431 weeks
320-.01082 .0034 (320*2π)/4431 weeks
321-.0092 -.00395 (321*2π)/4431 weeks
322-.00763 .00536 (322*2π)/4431 weeks
323-.00712 .00587 (323*2π)/4431 weeks
324-.00909 .0053 (324*2π)/4431 weeks
325-.01328 .00626 (325*2π)/4431 weeks
326.00366 .00835 (326*2π)/4431 weeks
327-.01258 .00164 (327*2π)/4431 weeks
328-.01481 .00565 (328*2π)/4431 weeks
329-.01296 .00789 (329*2π)/4431 weeks
330.0016 .01501 (330*2π)/4431 weeks
331-.01452 .00712 (331*2π)/4431 weeks
332-.00833 .00543 (332*2π)/4431 weeks
333-.00233 .0043 (333*2π)/4431 weeks
334.00092 .0049 (334*2π)/4431 weeks
335-.00545 .02093 (335*2π)/4431 weeks
336-.00025 .00935 (336*2π)/4431 weeks
337-.00878 .00437 (337*2π)/4431 weeks
338-.00899 .01614 (338*2π)/4431 weeks
339.00132 .0127 (339*2π)/4431 weeks
340-.0085 .00962 (340*2π)/4431 weeks
341.0021 .01418 (341*2π)/4431 weeks
342-.00153 .0073 (342*2π)/4431 weeks
343-.00529 .01371 (343*2π)/4431 weeks
344-.00263 .0068 (344*2π)/4431 weeks
345.00402 .01567 (345*2π)/4431 weeks
346-.00751 .00609 (346*2π)/4431 weeks
347-.00447 .01169 (347*2π)/4431 weeks
348.00033 .01328 (348*2π)/4431 weeks
349.00232 .0032 (349*2π)/4431 weeks
350-.01348 .01236 (350*2π)/4431 weeks
351.00121 .00789 (351*2π)/4431 weeks
352-.00818 .01113 (352*2π)/4431 weeks
353-.01123 .00104 (353*2π)/4431 weeks
354-.00638 .00941 (354*2π)/4431 weeks
355-.01208 .01372 (355*2π)/4431 weeks
356-.00393 .00651 (356*2π)/4431 weeks
357-.01874 .01157 (357*2π)/4431 weeks
358.00012 .00744 (358*2π)/4431 weeks
359-.00499 .01746 (359*2π)/4431 weeks
360-.01625 .00957 (360*2π)/4431 weeks
361-.01609 .01944 (361*2π)/4431 weeks
362-.00621 .01266 (362*2π)/4431 weeks
363-.00959 .012 (363*2π)/4431 weeks
364-.00667 .01503 (364*2π)/4431 weeks
365-.01373 .01087 (365*2π)/4431 weeks
366-.0086 .01441 (366*2π)/4431 weeks
367-.01534 .00609 (367*2π)/4431 weeks
368-.00414 .00907 (368*2π)/4431 weeks
369-.00777 .01353 (369*2π)/4431 weeks
370-.01051 .01241 (370*2π)/4431 weeks
371.00166 .02574 (371*2π)/4431 weeks
372-.00468 .00975 (372*2π)/4431 weeks
373-.0123 .02587 (373*2π)/4431 weeks
374-.0074 .01671 (374*2π)/4431 weeks
375-.00387 .02909 (375*2π)/4431 weeks
376-.01056 .01627 (376*2π)/4431 weeks
377-.00296 .01071 (377*2π)/4431 weeks
378-.00155 .00434 (378*2π)/4431 weeks
379.00062 .01165 (379*2π)/4431 weeks
380-.00012 .01328 (380*2π)/4431 weeks
381-.00954 .00912 (381*2π)/4431 weeks
382-.00725 .01603 (382*2π)/4431 weeks
383-.00711 .00867 (383*2π)/4431 weeks
384-.00063 .01521 (384*2π)/4431 weeks
385-.00412 .01089 (385*2π)/4431 weeks
386-.0067 .01285 (386*2π)/4431 weeks
387-.01238 .00215 (387*2π)/4431 weeks
388.00361 .0029 (388*2π)/4431 weeks
389-.01082 .02238 (389*2π)/4431 weeks
390-.01645 -.00224 (390*2π)/4431 weeks
391-.00647 .02069 (391*2π)/4431 weeks
392-.00529 .00903 (392*2π)/4431 weeks
393.00492 .01789 (393*2π)/4431 weeks
394-.01301 .02307 (394*2π)/4431 weeks
395-.01904 .00695 (395*2π)/4431 weeks
396.00022 .02196 (396*2π)/4431 weeks
397-.0211 .00824 (397*2π)/4431 weeks
398-.01125 .03214 (398*2π)/4431 weeks
399-.00541 .01801 (399*2π)/4431 weeks
400-.01331 .01045 (400*2π)/4431 weeks
401-.01013 .01207 (401*2π)/4431 weeks
402.00256 .01924 (402*2π)/4431 weeks
403-.00472 .04347 (403*2π)/4431 weeks
404-.01677 .00486 (404*2π)/4431 weeks
405.00022 .04138 (405*2π)/4431 weeks
406.00754 .01536 (406*2π)/4431 weeks
407-.01661 .02151 (407*2π)/4431 weeks
408-.02457 .03746 (408*2π)/4431 weeks
409.00492 .00793 (409*2π)/4431 weeks
410-.01147 .03093 (410*2π)/4431 weeks
411.00468 .01871 (411*2π)/4431 weeks
412-.01693 .03744 (412*2π)/4431 weeks
413-.01492 .01235 (413*2π)/4431 weeks
414.00217 .03312 (414*2π)/4431 weeks
415-.00014 .0332 (415*2π)/4431 weeks
416.00885 .02221 (416*2π)/4431 weeks
417-.00598 .03627 (417*2π)/4431 weeks
418.00679 .03546 (418*2π)/4431 weeks
419.00558 .00714 (419*2π)/4431 weeks
420-.0231 .04019 (420*2π)/4431 weeks
421.00311 .0557 (421*2π)/4431 weeks
422-.00161 .06399 (422*2π)/4431 weeks
423-.01473 .00709 (423*2π)/4431 weeks
424-.02707 .02744 (424*2π)/4431 weeks
425.00435 .0452 (425*2π)/4431 weeks
426.01077 .06686 (426*2π)/4431 weeks
427-.042 .0644 (427*2π)/4431 weeks
428.01333 .05173 (428*2π)/4431 weeks
429.00793 .08031 (429*2π)/4431 weeks
430-.02303 .03704 (430*2π)/4431 weeks
431-.01215 .08893 (431*2π)/4431 weeks
432-.01109 .09935 (432*2π)/4431 weeks
433-.00189 .10616 (433*2π)/4431 weeks
434.0412 .08374 (434*2π)/4431 weeks
435.02719 .07339 (435*2π)/4431 weeks
436-.0066 .20226 (436*2π)/4431 weeks
437-.01254 .1678 (437*2π)/4431 weeks
438.03546 .23928 (438*2π)/4431 weeks
439-.07396 .15426 (439*2π)/4431 weeks
440.16319 .42116 (440*2π)/4431 weeks
441-.00317 .50813 (441*2π)/4431 weeks