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Fourier Analysis of PAL (North American Palladium, Ltd. )


PAL (North American Palladium, Ltd. ) appears to have interesting cyclic behaviour every 72 weeks (30.545*cosine), 78 weeks (28.147*sine), and 39 weeks (16.8573*cosine).

PAL (North American Palladium, Ltd. ) has an average price of 139.73 (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 1/3/2000 to 3/13/2017 for PAL (North American Palladium, Ltd. ), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
0139.7317   0 
1117.9135 -196.7737 (1*2π)/860860 weeks
2-63.83015 -116.4743 (2*2π)/860430 weeks
3-25.73351 9.85576 (3*2π)/860287 weeks
433.46286 -19.80244 (4*2π)/860215 weeks
5-.29147 -47.93976 (5*2π)/860172 weeks
6-12.93297 -7.72239 (6*2π)/860143 weeks
722.29856 -16.41475 (7*2π)/860123 weeks
84.10402 -45.29786 (8*2π)/860108 weeks
9-23.32178 -24.53445 (9*2π)/86096 weeks
10-4.72183 -11.89576 (10*2π)/86086 weeks
11-8.8879 -28.14699 (11*2π)/86078 weeks
12-30.54496 -14.77033 (12*2π)/86072 weeks
13-16.05157 9.17006 (13*2π)/86066 weeks
14-1.5567 -3.12283 (14*2π)/86061 weeks
15-13.18957 -4.07846 (15*2π)/86057 weeks
16-5.41295 10.89556 (16*2π)/86054 weeks
1711.67096 -.38435 (17*2π)/86051 weeks
18.73636 -13.49222 (18*2π)/86048 weeks
19-4.94924 -5.77758 (19*2π)/86045 weeks
203.84915 -7.71625 (20*2π)/86043 weeks
21-6.0801 -18.953 (21*2π)/86041 weeks
22-16.85726 -7.74112 (22*2π)/86039 weeks
23-9.14878 .41779 (23*2π)/86037 weeks
24-8.71475 -6.21169 (24*2π)/86036 weeks
25-15.82157 1.87617 (25*2π)/86034 weeks
26-5.28872 10.61321 (26*2π)/86033 weeks
273.05138 1.18653 (27*2π)/86032 weeks
28-4.82985 -1.76777 (28*2π)/86031 weeks
29-.46378 4.17531 (29*2π)/86030 weeks
305.27403 -4.39457 (30*2π)/86029 weeks
31-5.1213 -10.75465 (31*2π)/86028 weeks
32-9.86835 -1.88185 (32*2π)/86027 weeks
33-4.75195 -1.81962 (33*2π)/86026 weeks
34-9.77203 -4.63028 (34*2π)/86025 weeks
35-14.10749 5.15647 (35*2π)/86025 weeks
36-4.04805 9.24058 (36*2π)/86024 weeks
37-1.73063 3.87023 (37*2π)/86023 weeks
38-3.96043 5.91119 (38*2π)/86023 weeks
394.11494 7.78261 (39*2π)/86022 weeks
406.06604 -2.46614 (40*2π)/86022 weeks
41-1.23026 -5.45797 (41*2π)/86021 weeks
42-1.56095 -1.28883 (42*2π)/86020 weeks
43-1.18969 -6.7673 (43*2π)/86020 weeks
44-10.19006 -6.44918 (44*2π)/86020 weeks
45-12.37365 2.58704 (45*2π)/86019 weeks
46-6.72513 4.7145 (46*2π)/86019 weeks
47-8.53611 4.48126 (47*2π)/86018 weeks
48-7.14274 11.08659 (48*2π)/86018 weeks
492.02166 11.88432 (49*2π)/86018 weeks
504.22265 4.94235 (50*2π)/86017 weeks
512.96532 4.82551 (51*2π)/86017 weeks
526.58187 2.86129 (52*2π)/86017 weeks
536.00332 -4.694 (53*2π)/86016 weeks
54-1.5583 -5.72874 (54*2π)/86016 weeks
55-3.06253 -2.72567 (55*2π)/86016 weeks
56-3.35849 -3.49652 (56*2π)/86015 weeks
57-9.23177 -2.28578 (57*2π)/86015 weeks
58-9.06845 5.22625 (58*2π)/86015 weeks
59-4.04296 7.2928 (59*2π)/86015 weeks
60-3.46874 5.71864 (60*2π)/86014 weeks
61-2.32811 9.79367 (61*2π)/86014 weeks
624.42424 8.89082 (62*2π)/86014 weeks
635.44745 2.968 (63*2π)/86014 weeks
642.81587 2.61285 (64*2π)/86013 weeks
655.52777 1.86894 (65*2π)/86013 weeks
664.00532 -3.07168 (66*2π)/86013 weeks
67-1.25787 -3.21965 (67*2π)/86013 weeks
68-1.35602 .65994 (68*2π)/86013 weeks
69-.5975 -1.0297 (69*2π)/86012 weeks
70-4.08676 -.57791 (70*2π)/86012 weeks
71-4.03508 4.7883 (71*2π)/86012 weeks
72.63914 4.28679 (72*2π)/86012 weeks
73-.55337 2.27549 (73*2π)/86012 weeks
74-1.38877 5.16939 (74*2π)/86012 weeks
753.50646 5.31168 (75*2π)/86011 weeks
762.77184 1.05413 (76*2π)/86011 weeks
77.50481 2.48137 (77*2π)/86011 weeks
783.38624 3.6498 (78*2π)/86011 weeks
793.52783 -.21185 (79*2π)/86011 weeks
80.63232 .37379 (80*2π)/86011 weeks
811.96104 2.29196 (81*2π)/86011 weeks
823.67087 -.51475 (82*2π)/86010 weeks
83-.14477 -1.35423 (83*2π)/86010 weeks
84.1168 1.57863 (84*2π)/86010 weeks
852.27163 .11594 (85*2π)/86010 weeks
86-.94162 -1.38805 (86*2π)/86010 weeks
87-1.67039 2.31464 (87*2π)/86010 weeks
881.2128 2.80947 (88*2π)/86010 weeks
89.8521 .56523 (89*2π)/86010 weeks
90-.6207 3.12058 (90*2π)/86010 weeks
913.2105 4.08658 (91*2π)/8609 weeks
924.20276 .51403 (92*2π)/8609 weeks
931.81389 .50343 (93*2π)/8609 weeks
943.93883 1.53936 (94*2π)/8609 weeks
954.53625 -1.83795 (95*2π)/8609 weeks
96.83616 -2.93124 (96*2π)/8609 weeks
97.61696 .17325 (97*2π)/8609 weeks
982.17748 -1.64112 (98*2π)/8609 weeks
99-1.08878 -1.94756 (99*2π)/8609 weeks
100-1.18123 1.94407 (100*2π)/8609 weeks
1011.93255 1.28852 (101*2π)/8609 weeks
102.86755 .09599 (102*2π)/8608 weeks
103.7414 1.72898 (103*2π)/8608 weeks
1043.41833 1.5463 (104*2π)/8608 weeks
1053.04694 -1.42133 (105*2π)/8608 weeks
1061.17446 -1.09787 (106*2π)/8608 weeks
1071.98616 -.39334 (107*2π)/8608 weeks
1081.77672 -2.27895 (108*2π)/8608 weeks
109-.49698 -1.74356 (109*2π)/8608 weeks
110-.34834 .38137 (110*2π)/8608 weeks
1111.6544 .24443 (111*2π)/8608 weeks
112.51507 -.78146 (112*2π)/8608 weeks
113.6805 1.31796 (113*2π)/8608 weeks
1143.75101 .60956 (114*2π)/8608 weeks
1152.74574 -2.61461 (115*2π)/8607 weeks
1161.10074 -1.47443 (116*2π)/8607 weeks
1172.42476 -1.81017 (117*2π)/8607 weeks
1181.00116 -4.28098 (118*2π)/8607 weeks
119-1.99836 -2.69836 (119*2π)/8607 weeks
120-1.24127 -.7201 (120*2π)/8607 weeks
121-.93739 -1.00257 (121*2π)/8607 weeks
122-2.18821 .16858 (122*2π)/8607 weeks
123-.55833 2.66917 (123*2π)/8607 weeks
1242.37858 1.74001 (124*2π)/8607 weeks
1252.01925 -.16423 (125*2π)/8607 weeks
1262.28981 .98014 (126*2π)/8607 weeks
1274.8548 -1.35095 (127*2π)/8607 weeks
1282.53867 -4.65766 (128*2π)/8607 weeks
129.04255 -3.48974 (129*2π)/8607 weeks
130.72533 -3.45746 (130*2π)/8607 weeks
131-1.45068 -4.85737 (131*2π)/8607 weeks
132-4.17031 -2.53941 (132*2π)/8607 weeks
133-2.78205 .47097 (133*2π)/8606 weeks
134-1.77525 -.07648 (134*2π)/8606 weeks
135-2.63564 1.11857 (135*2π)/8606 weeks
136-.20951 3.21237 (136*2π)/8606 weeks
1372.38863 1.18489 (137*2π)/8606 weeks
1381.34109 -.4136 (138*2π)/8606 weeks
1391.9093 .20602 (139*2π)/8606 weeks
1403.23208 -2.13767 (140*2π)/8606 weeks
141.59034 -4.08741 (141*2π)/8606 weeks
142-.82486 -2.48679 (142*2π)/8606 weeks
143-.46782 -2.63833 (143*2π)/8606 weeks
144-1.94381 -3.11041 (144*2π)/8606 weeks
145-3.32423 -1.20173 (145*2π)/8606 weeks
146-2.09985 .50149 (146*2π)/8606 weeks
147-.99086 -.31446 (147*2π)/8606 weeks
148-2.20071 .00301 (148*2π)/8606 weeks
149-.71053 1.51957 (149*2π)/8606 weeks
150.83831 -.13303 (150*2π)/8606 weeks
151-.75761 -1.0937 (151*2π)/8606 weeks
152-.73821 .348 (152*2π)/8606 weeks
153.76775 -.41309 (153*2π)/8606 weeks
154-.79239 -1.80975 (154*2π)/8606 weeks
155-1.65036 .22524 (155*2π)/8606 weeks
156.48809 .23452 (156*2π)/8606 weeks
157-.42721 -1.53755 (157*2π)/8605 weeks
158-1.35299 -.26266 (158*2π)/8605 weeks
159.04249 .06095 (159*2π)/8605 weeks
160-.06566 -1.78684 (160*2π)/8605 weeks
161-1.95851 -1.57716 (161*2π)/8605 weeks
162-1.64478 .05916 (162*2π)/8605 weeks
163-.94279 -1.23703 (163*2π)/8605 weeks
164-3.16695 -.69206 (164*2π)/8605 weeks
165-2.36991 1.75851 (165*2π)/8605 weeks
166-.84818 .96204 (166*2π)/8605 weeks
167-1.67861 1.04706 (167*2π)/8605 weeks
168-.82151 2.40534 (168*2π)/8605 weeks
1691.01881 1.68359 (169*2π)/8605 weeks
170.88803 -.06226 (170*2π)/8605 weeks
171-.09487 .19279 (171*2π)/8605 weeks
1721.17052 .03348 (172*2π)/8605 weeks
173.48202 -1.99129 (173*2π)/8605 weeks
174-1.73606 -1.52001 (174*2π)/8605 weeks
175-1.24018 -.33678 (175*2π)/8605 weeks
176-1.45289 -.93622 (176*2π)/8605 weeks
177-2.81352 -.39552 (177*2π)/8605 weeks
178-2.57331 1.55288 (178*2π)/8605 weeks
179-1.14623 1.56884 (179*2π)/8605 weeks
180-1.56691 1.04081 (180*2π)/8605 weeks
181-1.45898 2.71425 (181*2π)/8605 weeks
182.65792 2.31071 (182*2π)/8605 weeks
183.22644 .79824 (183*2π)/8605 weeks
184-.17614 1.71655 (184*2π)/8605 weeks
1851.31675 1.56045 (185*2π)/8605 weeks
1861.16358 -.23535 (186*2π)/8605 weeks
187-.12684 -.1059 (187*2π)/8605 weeks
188.53847 .53111 (188*2π)/8605 weeks
189.83036 -1.00834 (189*2π)/8605 weeks
190-1.09229 -1.25501 (190*2π)/8605 weeks
191-1.33949 .02157 (191*2π)/8605 weeks
192-.79621 -.22253 (192*2π)/8604 weeks
193-2.24219 -.50692 (193*2π)/8604 weeks
194-2.94999 1.6462 (194*2π)/8604 weeks
195-1.0697 2.64498 (195*2π)/8604 weeks
196-1.20309 1.766 (196*2π)/8604 weeks
197-1.24584 3.83519 (197*2π)/8604 weeks
1981.87092 3.99346 (198*2π)/8604 weeks
1992.39032 1.75777 (199*2π)/8604 weeks
2002.07549 1.73171 (200*2π)/8604 weeks
2013.63184 .92537 (201*2π)/8604 weeks
2023.29116 -1.76087 (202*2π)/8604 weeks
203.9381 -2.70504 (203*2π)/8604 weeks
204-.02527 -1.79088 (204*2π)/8604 weeks
205-.70876 -2.57206 (205*2π)/8604 weeks
206-3.21355 -1.90373 (206*2π)/8604 weeks
207-3.9557 1.18143 (207*2π)/8604 weeks
208-2.28533 2.27585 (208*2π)/8604 weeks
209-2.31411 2.82687 (209*2π)/8604 weeks
210-1.3011 5.04278 (210*2π)/8604 weeks
2112.30951 4.94935 (211*2π)/8604 weeks
2123.09111 2.73076 (212*2π)/8604 weeks
2133.47513 2.26332 (213*2π)/8604 weeks
2144.93528 .69428 (214*2π)/8604 weeks
2154.19413 -2.15772 (215*2π)/8604 weeks
2161.9777 -3.09924 (216*2π)/8604 weeks
217.60792 -2.76548 (217*2π)/8604 weeks
218-.27336 -3.04313 (218*2π)/8604 weeks
219-2.6808 -2.36394 (219*2π)/8604 weeks
220-3.25586 .32266 (220*2π)/8604 weeks
221-2.04037 1.62905 (221*2π)/8604 weeks
222-1.96096 1.99917 (222*2π)/8604 weeks
223-.94096 3.86827 (223*2π)/8604 weeks
2241.64814 3.88319 (224*2π)/8604 weeks
2252.5687 2.01793 (225*2π)/8604 weeks
2262.53587 1.90327 (226*2π)/8604 weeks
2273.90946 .90409 (227*2π)/8604 weeks
2283.66263 -1.38343 (228*2π)/8604 weeks
2291.77794 -2.01375 (229*2π)/8604 weeks
2301.435 -1.48052 (230*2π)/8604 weeks
2311.21052 -2.40873 (231*2π)/8604 weeks
232-.83165 -2.47308 (232*2π)/8604 weeks
233-1.23617 -.40803 (233*2π)/8604 weeks
234-.41322 -.52559 (234*2π)/8604 weeks
235-1.22007 -.34495 (235*2π)/8604 weeks
236-1.21805 1.10511 (236*2π)/8604 weeks
237.16283 1.51411 (237*2π)/8604 weeks
238.52394 .88637 (238*2π)/8604 weeks
239.1254 1.19488 (239*2π)/8604 weeks
2401.71341 2.02573 (240*2π)/8604 weeks
2412.53258 .08701 (241*2π)/8604 weeks
2421.3703 -.14903 (242*2π)/8604 weeks
2432.47218 .50244 (243*2π)/8604 weeks
2443.03117 -1.88615 (244*2π)/8604 weeks
245.93137 -2.29673 (245*2π)/8604 weeks
246.97149 -1.56464 (246*2π)/8603 weeks
247.89114 -2.71248 (247*2π)/8603 weeks
248-1.16844 -2.57839 (248*2π)/8603 weeks
249-1.55086 -1.19682 (249*2π)/8603 weeks
250-1.37599 -.37592 (250*2π)/8603 weeks
251-1.42919 -.17037 (251*2π)/8603 weeks
252-1.6603 1.18095 (252*2π)/8603 weeks
253-.02336 2.36888 (253*2π)/8603 weeks
2541.433 1.08484 (254*2π)/8603 weeks
255.8252 1.15905 (255*2π)/8603 weeks
2562.61976 1.22272 (256*2π)/8603 weeks
2573.26909 -1.06737 (257*2π)/8603 weeks
2581.59751 -2.05783 (258*2π)/8603 weeks
2591.5915 -1.74434 (259*2π)/8603 weeks
2601.18671 -3.04053 (260*2π)/8603 weeks
261-.79931 -3.38686 (261*2π)/8603 weeks
262-1.63472 -1.79714 (262*2π)/8603 weeks
263-1.48119 -1.39988 (263*2π)/8603 weeks
264-1.93627 -.96792 (264*2π)/8603 weeks
265-2.36564 .29809 (265*2π)/8603 weeks
266-.88515 1.5219 (266*2π)/8603 weeks
267.12745 .61015 (267*2π)/8603 weeks
268-.58034 .79986 (268*2π)/8603 weeks
2691.24795 1.68076 (269*2π)/8603 weeks
2701.95619 -.60667 (270*2π)/8603 weeks
271.65583 -.72193 (271*2π)/8603 weeks
2721.27405 -.3529 (272*2π)/8603 weeks
2731.56615 -1.81291 (273*2π)/8603 weeks
274.07371 -2.28992 (274*2π)/8603 weeks
275-.55743 -1.50156 (275*2π)/8603 weeks
276.02868 -1.69421 (276*2π)/8603 weeks
277-1.46407 -2.36829 (277*2π)/8603 weeks
278-2.02651 -.86882 (278*2π)/8603 weeks
279-1.46796 -.48027 (279*2π)/8603 weeks
280-1.95927 -.55656 (280*2π)/8603 weeks
281-2.04209 .6503 (281*2π)/8603 weeks
282-1.27184 1.47455 (282*2π)/8603 weeks
283-.01285 1.2254 (283*2π)/8603 weeks
284-.25622 .99183 (284*2π)/8603 weeks
285.8155 1.70812 (285*2π)/8603 weeks
2862.33808 .23736 (286*2π)/8603 weeks
2871.17469 -1.37242 (287*2π)/8603 weeks
288.99768 -.87472 (288*2π)/8603 weeks
2891.29764 -2.25075 (289*2π)/8603 weeks
290-.64552 -3.43693 (290*2π)/8603 weeks
291-2.23734 -2.01608 (291*2π)/8603 weeks
292-2.04485 -1.4939 (292*2π)/8603 weeks
293-3.07122 -1.21835 (293*2π)/8603 weeks
294-3.74923 .80672 (294*2π)/8603 weeks
295-2.13834 2.28073 (295*2π)/8603 weeks
296-1.20939 2.17528 (296*2π)/8603 weeks
297-.5276 2.59971 (297*2π)/8603 weeks
2981.14589 2.78796 (298*2π)/8603 weeks
2992.33325 1.05906 (299*2π)/8603 weeks
3002.05407 -.44006 (300*2π)/8603 weeks
3011.39581 -.94758 (301*2π)/8603 weeks
3021.4203 -2.05253 (302*2π)/8603 weeks
303-.39762 -3.23542 (303*2π)/8603 weeks
304-2.38545 -2.07752 (304*2π)/8603 weeks
305-2.05454 -.94971 (305*2π)/8603 weeks
306-3.01727 -.90204 (306*2π)/8603 weeks
307-3.55762 1.25011 (307*2π)/8603 weeks
308-1.84977 2.56593 (308*2π)/8603 weeks
309-.79103 2.17505 (309*2π)/8603 weeks
310-.37189 2.48831 (310*2π)/8603 weeks
311.97684 2.53462 (311*2π)/8603 weeks
3122.24506 1.05798 (312*2π)/8603 weeks
3131.23959 -.46891 (313*2π)/8603 weeks
314.79996 -.10322 (314*2π)/8603 weeks
3151.23232 -1.03024 (315*2π)/8603 weeks
316-.69319 -2.15367 (316*2π)/8603 weeks
317-1.76006 -.37838 (317*2π)/8603 weeks
318-.96488 -.06563 (318*2π)/8603 weeks
319-1.77969 -.37581 (319*2π)/8603 weeks
320-2.09938 1.34283 (320*2π)/8603 weeks
321-.64714 1.78757 (321*2π)/8603 weeks
322-.27335 1.20487 (322*2π)/8603 weeks
323-.42471 1.43968 (323*2π)/8603 weeks
324.43496 1.83362 (324*2π)/8603 weeks
3251.21226 .68354 (325*2π)/8603 weeks
326.14451 .04122 (326*2π)/8603 weeks
327.23833 1.10592 (327*2π)/8603 weeks
3281.1726 -.10145 (328*2π)/8603 weeks
329-.38912 -.58108 (329*2π)/8603 weeks
330-.37621 .68999 (330*2π)/8603 weeks
331.51238 .13608 (331*2π)/8603 weeks
332-.46934 -.27191 (332*2π)/8603 weeks
333-.725 .5784 (333*2π)/8603 weeks
334.09025 .87702 (334*2π)/8603 weeks
335-.19195 .19558 (335*2π)/8603 weeks
336-.67558 .93021 (336*2π)/8603 weeks
337.19195 1.34947 (337*2π)/8603 weeks
338.3394 .74391 (338*2π)/8603 weeks
339.155 .95753 (339*2π)/8603 weeks
340.597 1.10217 (340*2π)/8603 weeks
3411.17218 .70955 (341*2π)/8603 weeks
342.85838 -.13168 (342*2π)/8603 weeks
343.35525 .26882 (343*2π)/8603 weeks
344.98791 .14081 (344*2π)/8603 weeks
345.40654 -.86469 (345*2π)/8602 weeks
346-.65071 -.04112 (346*2π)/8602 weeks
347-.01413 .6788 (347*2π)/8602 weeks
348.21605 .0337 (348*2π)/8602 weeks
349-.80884 .59622 (349*2π)/8602 weeks
350.29141 1.82304 (350*2π)/8602 weeks
3511.35078 .69176 (351*2π)/8602 weeks
352.34559 .43794 (352*2π)/8602 weeks
3531.19906 1.27017 (353*2π)/8602 weeks
3541.99593 -.15214 (354*2π)/8602 weeks
355.60649 -.90201 (355*2π)/8602 weeks
356.39268 .05465 (356*2π)/8602 weeks
3571.00822 -.50899 (357*2π)/8602 weeks
358-.3252 -.98059 (358*2π)/8602 weeks
359-.67424 .45315 (359*2π)/8602 weeks
360.30562 .65266 (360*2π)/8602 weeks
361.10137 .25725 (361*2π)/8602 weeks
362.06976 .90061 (362*2π)/8602 weeks
363.98421 1.16025 (363*2π)/8602 weeks
3641.61183 .06645 (364*2π)/8602 weeks
365.77399 -.32243 (365*2π)/8602 weeks
3661.12526 .22344 (366*2π)/8602 weeks
3671.52668 -1.07689 (367*2π)/8602 weeks
368-.06052 -1.22907 (368*2π)/8602 weeks
369.0965 -.05215 (369*2π)/8602 weeks
370.5034 -.66408 (370*2π)/8602 weeks
371-.38937 -.42984 (371*2π)/8602 weeks
372-.0682 .46301 (372*2π)/8602 weeks
373.56042 .3774 (373*2π)/8602 weeks
374.8293 .13107 (374*2π)/8602 weeks
375.54478 -.27295 (375*2π)/8602 weeks
376.70705 .2858 (376*2π)/8602 weeks
3771.47153 -.62291 (377*2π)/8602 weeks
378.03773 -1.40884 (378*2π)/8602 weeks
379.03806 .15669 (379*2π)/8602 weeks
380.92083 -.83883 (380*2π)/8602 weeks
381-.53649 -.99216 (381*2π)/8602 weeks
382-.0906 .60915 (382*2π)/8602 weeks
3831.08338 -.16497 (383*2π)/8602 weeks
384.30053 -.68305 (384*2π)/8602 weeks
385.3693 .15783 (385*2π)/8602 weeks
3861.45272 -.44096 (386*2π)/8602 weeks
387.60824 -1.62255 (387*2π)/8602 weeks
388-.26512 -.93679 (388*2π)/8602 weeks
389.17574 -.77206 (389*2π)/8602 weeks
390-.26605 -1.36194 (390*2π)/8602 weeks
391-1.27761 -.61056 (391*2π)/8602 weeks
392-.70394 .56349 (392*2π)/8602 weeks
393.23455 .14012 (393*2π)/8602 weeks
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395.67005 1.06264 (395*2π)/8602 weeks
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