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


PAL (North American Palladium, Ltd. ) appears to have interesting cyclic behaviour every 77 weeks (27.7592*sine), 71 weeks (26.5746*sine), and 71 weeks (25.5898*cosine).

PAL (North American Palladium, Ltd. ) has an average price of 136.09 (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 1/16/2017 for PAL (North American Palladium, Ltd. ), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
0136.0898   0 
1118.4399 -191.7151 (1*2π)/852852 weeks
2-61.70816 -121.0583 (2*2π)/852426 weeks
3-34.31421 7.12321 (3*2π)/852284 weeks
428.51001 -12.85218 (4*2π)/852213 weeks
51.92706 -45.3378 (5*2π)/852170 weeks
6-17.70715 -8.08044 (6*2π)/852142 weeks
719.35066 -6.71574 (7*2π)/852122 weeks
812.66134 -38.86676 (8*2π)/852107 weeks
9-18.29795 -28.57262 (9*2π)/85295 weeks
10-4.70253 -10.81838 (10*2π)/85285 weeks
11-.79084 -27.7592 (11*2π)/85277 weeks
12-25.58978 -26.57455 (12*2π)/85271 weeks
13-24.69343 .58915 (13*2π)/85266 weeks
14-6.78944 -2.40583 (14*2π)/85261 weeks
15-16.18038 -9.12059 (15*2π)/85257 weeks
16-19.07698 8.28651 (16*2π)/85253 weeks
171.25777 11.25157 (17*2π)/85250 weeks
182.2333 -4.06741 (18*2π)/85247 weeks
19-5.91903 -1.69058 (19*2π)/85245 weeks
203.3372 3.7104 (20*2π)/85243 weeks
216.24906 -11.21077 (21*2π)/85241 weeks
22-7.54641 -13.09225 (22*2π)/85239 weeks
23-8.62676 -2.94702 (23*2π)/85237 weeks
24-2.94164 -7.65412 (24*2π)/85236 weeks
25-13.74973 -9.84432 (25*2π)/85234 weeks
26-16.83185 3.33246 (26*2π)/85233 weeks
27-5.24896 6.67351 (27*2π)/85232 weeks
28-6.63878 -.54992 (28*2π)/85230 weeks
29-9.94761 6.81735 (29*2π)/85229 weeks
30.80934 10.46215 (30*2π)/85228 weeks
314.84445 -.48179 (31*2π)/85227 weeks
32-3.15124 -2.21781 (32*2π)/85227 weeks
33-.52108 1.87316 (33*2π)/85226 weeks
342.63784 -4.58757 (34*2π)/85225 weeks
35-7.53741 -8.46447 (35*2π)/85224 weeks
36-10.51961 .19618 (36*2π)/85224 weeks
37-6.13778 1.42545 (37*2π)/85223 weeks
38-9.70736 -1.01934 (38*2π)/85222 weeks
39-12.58763 8.077 (39*2π)/85222 weeks
40-3.66588 11.83724 (40*2π)/85221 weeks
41.40414 6.4776 (41*2π)/85221 weeks
42-2.5514 7.86262 (42*2π)/85220 weeks
434.67039 9.96478 (43*2π)/85220 weeks
448.7336 1.79372 (44*2π)/85219 weeks
452.83147 -3.45413 (45*2π)/85219 weeks
461.38351 -.48992 (46*2π)/85219 weeks
472.86485 -4.28414 (47*2π)/85218 weeks
48-3.86272 -7.85585 (48*2π)/85218 weeks
49-9.50969 -1.67191 (49*2π)/85217 weeks
50-6.29664 1.9014 (50*2π)/85217 weeks
51-7.7379 1.36388 (51*2π)/85217 weeks
52-9.99359 6.34007 (52*2π)/85216 weeks
53-4.12739 11.99503 (53*2π)/85216 weeks
54.76785 9.04922 (54*2π)/85216 weeks
55.80935 7.83346 (55*2π)/85215 weeks
563.72779 10.077 (56*2π)/85215 weeks
579.18252 5.13747 (57*2π)/85215 weeks
586.80282 -.5108 (58*2π)/85215 weeks
593.50244 -.19218 (59*2π)/85214 weeks
605.59499 -1.12611 (60*2π)/85214 weeks
612.12834 -5.81086 (61*2π)/85214 weeks
62-3.52211 -3.46529 (62*2π)/85214 weeks
63-2.51184 .62743 (63*2π)/85214 weeks
64-2.19415 -1.05766 (64*2π)/85213 weeks
65-5.61388 1.45191 (65*2π)/85213 weeks
66-3.67928 6.17031 (66*2π)/85213 weeks
671.06319 5.51659 (67*2π)/85213 weeks
68-.2227 3.6951 (68*2π)/85213 weeks
69.45881 6.3703 (69*2π)/85212 weeks
705.27383 5.9381 (70*2π)/85212 weeks
714.93456 .73512 (71*2π)/85212 weeks
722.19252 1.70396 (72*2π)/85212 weeks
734.39859 2.95659 (73*2π)/85212 weeks
745.45415 -1.37597 (74*2π)/85212 weeks
75.89 -1.59032 (75*2π)/85211 weeks
761.69377 1.3446 (76*2π)/85211 weeks
773.81445 -.66869 (77*2π)/85211 weeks
78.46195 -2.22266 (78*2π)/85211 weeks
79-.01756 .88721 (79*2π)/85211 weeks
802.4284 .55065 (80*2π)/85211 weeks
811.08652 -2.12765 (81*2π)/85211 weeks
82-1.517 .60165 (82*2π)/85210 weeks
831.35044 1.97309 (83*2π)/85210 weeks
841.6184 -.66351 (84*2π)/85210 weeks
85-1.37898 .66154 (85*2π)/85210 weeks
861.09056 3.46912 (86*2π)/85210 weeks
873.37156 1.38282 (87*2π)/85210 weeks
881.54716 -.13748 (88*2π)/85210 weeks
891.93484 2.56613 (89*2π)/85210 weeks
905.30554 .78853 (90*2π)/8529 weeks
913.70202 -2.58203 (91*2π)/8529 weeks
921.57504 -1.11535 (92*2π)/8529 weeks
933.84442 -1.15663 (93*2π)/8529 weeks
942.6114 -4.18231 (94*2π)/8529 weeks
95-1.01858 -3.26325 (95*2π)/8529 weeks
96.20284 -.29281 (96*2π)/8529 weeks
971.08641 -2.56466 (97*2π)/8529 weeks
98-1.99475 -1.74389 (98*2π)/8529 weeks
99-.82829 1.83602 (99*2π)/8529 weeks
1001.96112 .22886 (100*2π)/8529 weeks
101.51539 -.73288 (101*2π)/8528 weeks
102.62033 .87134 (102*2π)/8528 weeks
1033.09859 .2982 (103*2π)/8528 weeks
1042.2914 -2.51881 (104*2π)/8528 weeks
105.42287 -1.9527 (105*2π)/8528 weeks
1061.25008 -1.21563 (106*2π)/8528 weeks
1071.04446 -3.05358 (107*2π)/8528 weeks
108-1.24351 -2.60291 (108*2π)/8528 weeks
109-1.32476 -.48995 (109*2π)/8528 weeks
110.60339 -.37102 (110*2π)/8528 weeks
111-.46467 -1.51065 (111*2π)/8528 weeks
112-.83537 .67199 (112*2π)/8528 weeks
1132.24839 .88478 (113*2π)/8528 weeks
1142.1664 -2.30739 (114*2π)/8527 weeks
115.35184 -1.59912 (115*2π)/8527 weeks
1161.79934 -1.33845 (116*2π)/8527 weeks
1171.59798 -4.16706 (117*2π)/8527 weeks
118-1.66064 -4.10838 (118*2π)/8527 weeks
119-1.9436 -2.19965 (119*2π)/8527 weeks
120-1.64366 -2.41619 (120*2π)/8527 weeks
121-3.56962 -2.2043 (121*2π)/8527 weeks
122-4.01158 .79716 (122*2π)/8527 weeks
123-1.43781 2.0566 (123*2π)/8527 weeks
124-.76444 .67106 (124*2π)/8527 weeks
125-1.45349 2.24392 (125*2π)/8527 weeks
1262.07632 2.81135 (126*2π)/8527 weeks
1273.16599 -.68365 (127*2π)/8527 weeks
1281.0805 -1.52862 (128*2π)/8527 weeks
1291.95591 -.9675 (129*2π)/8527 weeks
1302.19695 -3.6464 (130*2π)/8527 weeks
131-.95882 -5.01938 (131*2π)/8527 weeks
132-2.70095 -2.65873 (132*2π)/8526 weeks
133-1.99782 -2.41621 (133*2π)/8526 weeks
134-3.87118 -2.89426 (134*2π)/8526 weeks
135-5.25911 .1666 (135*2π)/8526 weeks
136-2.93184 2.03791 (136*2π)/8526 weeks
137-2.23508 .98691 (137*2π)/8526 weeks
138-2.83794 2.31977 (138*2π)/8526 weeks
139-.12517 3.57486 (139*2π)/8526 weeks
1401.44574 1.13158 (140*2π)/8526 weeks
141.18768 .46726 (141*2π)/8526 weeks
142.82487 .88123 (142*2π)/8526 weeks
1431.66551 -.62979 (143*2π)/8526 weeks
144.083 -2.12333 (144*2π)/8526 weeks
145-1.54706 -1.19653 (145*2π)/8526 weeks
146-.68166 -.31776 (146*2π)/8526 weeks
147-1.18179 -1.77277 (147*2π)/8526 weeks
148-2.99921 -.53055 (148*2π)/8526 weeks
149-1.76834 1.32184 (149*2π)/8526 weeks
150-.69145 .09921 (150*2π)/8526 weeks
151-2.08151 -.04839 (151*2π)/8526 weeks
152-1.64994 1.87906 (152*2π)/8526 weeks
153.26559 .9028 (153*2π)/8526 weeks
154-1.30698 -.48003 (154*2π)/8526 weeks
155-1.99584 1.56996 (155*2π)/8525 weeks
156-.1725 1.45199 (156*2π)/8525 weeks
157-.84195 .27162 (157*2π)/8525 weeks
158-1.94264 1.48844 (158*2π)/8525 weeks
159-.35447 2.64909 (159*2π)/8525 weeks
160.79474 1.31597 (160*2π)/8525 weeks
161-.57669 .97406 (161*2π)/8525 weeks
162.68427 2.50625 (162*2π)/8525 weeks
1632.16063 .54958 (163*2π)/8525 weeks
164.34355 -.5766 (164*2π)/8525 weeks
165.35368 .53619 (165*2π)/8525 weeks
1661.03394 -.44732 (166*2π)/8525 weeks
167-.43741 -1.47264 (167*2π)/8525 weeks
168-1.85633 -.35804 (168*2π)/8525 weeks
169-1.17034 .84523 (169*2π)/8525 weeks
170-1.07912 -.07672 (170*2π)/8525 weeks
171-2.53394 1.00369 (171*2π)/8525 weeks
172-1.39989 2.97001 (172*2π)/8525 weeks
173.17274 2.11462 (173*2π)/8525 weeks
174-.40278 2.02658 (174*2π)/8525 weeks
175.21107 3.00356 (175*2π)/8525 weeks
1761.97197 2.53381 (176*2π)/8525 weeks
1771.84445 .90914 (177*2π)/8525 weeks
1781.05158 1.14905 (178*2π)/8525 weeks
1792.32982 1.37909 (179*2π)/8525 weeks
1802.18358 -.69012 (180*2π)/8525 weeks
181.44748 -.49246 (181*2π)/8525 weeks
1821.13145 .39017 (182*2π)/8525 weeks
1831.41008 -.90396 (183*2π)/8525 weeks
184-.2747 -1.22628 (184*2π)/8525 weeks
185-.53466 .16235 (185*2π)/8525 weeks
186.43759 -.04459 (186*2π)/8525 weeks
187-.59891 -.92745 (187*2π)/8525 weeks
188-1.61374 .62591 (188*2π)/8525 weeks
189-.42892 1.45615 (189*2π)/8525 weeks
190-.16227 .7831 (190*2π)/8524 weeks
191-1.11028 1.55886 (191*2π)/8524 weeks
192.15327 3.19516 (192*2π)/8524 weeks
1932.08476 2.24749 (193*2π)/8524 weeks
1941.2671 1.43117 (194*2π)/8524 weeks
1952.36116 2.78336 (195*2π)/8524 weeks
1964.54533 .81252 (196*2π)/8524 weeks
1973.24035 -1.24057 (197*2π)/8524 weeks
1982.71671 -.89502 (198*2π)/8524 weeks
1993.41089 -2.1813 (199*2π)/8524 weeks
2001.65882 -4.01687 (200*2π)/8524 weeks
201-.73038 -3.43983 (201*2π)/8524 weeks
202-1.01648 -2.04624 (202*2π)/8524 weeks
203-1.71395 -2.45174 (203*2π)/8524 weeks
204-3.56445 -.97107 (204*2π)/8524 weeks
205-3.09269 1.95 (205*2π)/8524 weeks
206-1.13798 2.24785 (206*2π)/8524 weeks
207-1.12955 2.5481 (207*2π)/8524 weeks
208.14811 4.28557 (208*2π)/8524 weeks
2093.41652 3.47936 (209*2π)/8524 weeks
2103.61954 1.2102 (210*2π)/8524 weeks
2113.76333 .84542 (211*2π)/8524 weeks
2125.01837 -.62262 (212*2π)/8524 weeks
2134.22063 -3.26857 (213*2π)/8524 weeks
2142.12163 -4.13024 (214*2π)/8524 weeks
215.86083 -3.85141 (215*2π)/8524 weeks
216.13656 -4.28465 (216*2π)/8524 weeks
217-2.2791 -4.09819 (217*2π)/8524 weeks
218-3.36723 -1.76277 (218*2π)/8524 weeks
219-2.61236 -.39093 (219*2π)/8524 weeks
220-2.87567 -.12786 (220*2π)/8524 weeks
221-2.72677 1.9296 (221*2π)/8524 weeks
222-.58028 2.92395 (222*2π)/8524 weeks
223.74144 1.70949 (223*2π)/8524 weeks
224.64567 1.84453 (224*2π)/8524 weeks
2252.2646 1.81072 (225*2π)/8524 weeks
2263.24751 -.0789 (226*2π)/8524 weeks
2272.10541 -1.45614 (227*2π)/8524 weeks
2281.67781 -1.15224 (228*2π)/8524 weeks
2292.20464 -2.05485 (229*2π)/8524 weeks
230.75105 -3.49343 (230*2π)/8524 weeks
231-.8289 -2.31324 (231*2π)/8524 weeks
232-.23904 -2.04229 (232*2π)/8524 weeks
233-.99682 -2.61314 (233*2π)/8524 weeks
234-2.23952 -1.77996 (234*2π)/8524 weeks
235-1.9035 -.54122 (235*2π)/8524 weeks
236-1.4006 -.61136 (236*2π)/8524 weeks
237-2.21308 -.7877 (237*2π)/8524 weeks
238-2.25431 1.18256 (238*2π)/8524 weeks
239-.43959 1.05768 (239*2π)/8524 weeks
240-.97434 .17715 (240*2π)/8524 weeks
241-1.16646 1.83385 (241*2π)/8524 weeks
2421.23148 1.64744 (242*2π)/8524 weeks
243.97315 -.02272 (243*2π)/8524 weeks
244.55812 .47223 (244*2π)/8523 weeks
2451.97196 .1942 (245*2π)/8523 weeks
2461.64883 -1.65099 (246*2π)/8523 weeks
247.67092 -2.02015 (247*2π)/8523 weeks
248.02934 -1.92681 (248*2π)/8523 weeks
249-.04379 -2.37378 (249*2π)/8523 weeks
250-1.52491 -2.92699 (250*2π)/8523 weeks
251-3.0698 -1.52707 (251*2π)/8523 weeks
252-2.12927 -.34964 (252*2π)/8523 weeks
253-2.91112 -.86585 (253*2π)/8523 weeks
254-3.61147 1.09438 (254*2π)/8523 weeks
255-1.86192 2.50269 (255*2π)/8523 weeks
256-.94068 1.60842 (256*2π)/8523 weeks
257-1.13065 2.2293 (257*2π)/8523 weeks
258.35031 2.74823 (258*2π)/8523 weeks
2591.72112 1.3505 (259*2π)/8523 weeks
2601.11813 .39206 (260*2π)/8523 weeks
2611.21065 .25142 (261*2π)/8523 weeks
2621.54539 -.40964 (262*2π)/8523 weeks
263.91491 -1.89703 (263*2π)/8523 weeks
264-.75826 -1.60798 (264*2π)/8523 weeks
265-.49317 -.68017 (265*2π)/8523 weeks
266-.61275 -1.97121 (266*2π)/8523 weeks
267-2.75488 -1.01061 (267*2π)/8523 weeks
268-1.75908 .6595 (268*2π)/8523 weeks
269-1.35243 .00233 (269*2π)/8523 weeks
270-2.38556 .42222 (270*2π)/8523 weeks
271-1.81996 1.96179 (271*2π)/8523 weeks
272-.64569 1.90161 (272*2π)/8523 weeks
273-.74055 1.21767 (273*2π)/8523 weeks
274-.96484 2.39621 (274*2π)/8523 weeks
275.77059 2.2769 (275*2π)/8523 weeks
276.83711 1.27242 (276*2π)/8523 weeks
277.62129 1.45301 (277*2π)/8523 weeks
2781.62827 1.23702 (278*2π)/8523 weeks
2791.85694 .23087 (279*2π)/8523 weeks
2801.28979 -.82029 (280*2π)/8523 weeks
281.6597 -.4281 (281*2π)/8523 weeks
2821.15601 -1.09527 (282*2π)/8523 weeks
283-.26355 -2.22587 (283*2π)/8523 weeks
284-1.8922 -.91125 (284*2π)/8523 weeks
285-1.10308 -.21897 (285*2π)/8523 weeks
286-2.00734 -.62367 (286*2π)/8523 weeks
287-3.06043 1.01379 (287*2π)/8523 weeks
288-1.68194 2.74995 (288*2π)/8523 weeks
289-.72284 2.3003 (289*2π)/8523 weeks
290-.6676 2.92133 (290*2π)/8523 weeks
291.8926 3.79116 (291*2π)/8523 weeks
2922.68281 2.53212 (292*2π)/8523 weeks
2932.56319 1.34596 (293*2π)/8523 weeks
2942.85755 .89112 (294*2π)/8523 weeks
2953.41642 -.3247 (295*2π)/8523 weeks
2962.33491 -2.05723 (296*2π)/8523 weeks
297.85668 -2.29611 (297*2π)/8523 weeks
298.06025 -1.80099 (298*2π)/8523 weeks
299-.52557 -2.22814 (299*2π)/8523 weeks
300-2.30675 -1.55512 (300*2π)/8523 weeks
301-2.5666 .60834 (301*2π)/8523 weeks
302-1.25956 1.11997 (302*2π)/8523 weeks
303-1.77362 1.45288 (303*2π)/8523 weeks
304-.84347 3.18151 (304*2π)/8523 weeks
3051.24746 2.96464 (305*2π)/8523 weeks
3061.74659 1.82971 (306*2π)/8523 weeks
3072.02837 1.77188 (307*2π)/8523 weeks
3083.01618 1.12298 (308*2π)/8523 weeks
3093.31401 -.66616 (309*2π)/8523 weeks
3101.69572 -1.57702 (310*2π)/8523 weeks
3111.38214 -.96904 (311*2π)/8523 weeks
3121.51798 -1.89736 (312*2π)/8523 weeks
313-.54474 -2.41997 (313*2π)/8523 weeks
314-1.0776 -.47118 (314*2π)/8523 weeks
315-.17422 -.41399 (315*2π)/8523 weeks
316-1.00414 -.69902 (316*2π)/8523 weeks
317-1.14156 .92646 (317*2π)/8523 weeks
318.27723 1.14586 (318*2π)/8523 weeks
319.53754 .48025 (319*2π)/8523 weeks
320.29835 .67042 (320*2π)/8523 weeks
3211.05294 1.08145 (321*2π)/8523 weeks
3221.85622 .00142 (322*2π)/8523 weeks
323.83036 -.76482 (323*2π)/8523 weeks
324.72416 .30677 (324*2π)/8523 weeks
3251.85096 -.71054 (325*2π)/8523 weeks
326.43956 -1.56447 (326*2π)/8523 weeks
327.07935 -.39247 (327*2π)/8523 weeks
3281.06238 -.68801 (328*2π)/8523 weeks
329.2706 -1.44515 (329*2π)/8523 weeks
330-.34975 -.85405 (330*2π)/8523 weeks
331.21896 -.28255 (331*2π)/8523 weeks
332.2068 -1.06049 (332*2π)/8523 weeks
333-.65413 -.71963 (333*2π)/8523 weeks
334-.24728 .05515 (334*2π)/8523 weeks
335.08684 -.35445 (335*2π)/8523 weeks
336-.27378 -.28661 (336*2π)/8523 weeks
337-.16077 .12068 (337*2π)/8523 weeks
338.47346 .30525 (338*2π)/8523 weeks
339.80234 -.48415 (339*2π)/8523 weeks
340.15438 -.50524 (340*2π)/8523 weeks
341.69899 -.07592 (341*2π)/8522 weeks
3421.16881 -1.20269 (342*2π)/8522 weeks
343-.0635 -1.61686 (343*2π)/8522 weeks
344-.33684 -.79708 (344*2π)/8522 weeks
345.32449 -1.0696 (345*2π)/8522 weeks
346-.81951 -1.7911 (346*2π)/8522 weeks
347-1.57232 -.31452 (347*2π)/8522 weeks
348-.28353 .1559 (348*2π)/8522 weeks
349-.67469 -.77464 (349*2π)/8522 weeks
350-1.26325 .455 (350*2π)/8522 weeks
351.23847 .96175 (351*2π)/8522 weeks
352.58514 -.39063 (352*2π)/8522 weeks
353-.28371 -.25901 (353*2π)/8522 weeks
354.53884 .29694 (354*2π)/8522 weeks
355.89006 -1.1152 (355*2π)/8522 weeks
356-.43761 -1.4192 (356*2π)/8522 weeks
357-.59145 -.6334 (357*2π)/8522 weeks
358-.35564 -.98459 (358*2π)/8522 weeks
359-1.11568 -1.16117 (359*2π)/8522 weeks
360-1.77806 -.31012 (360*2π)/8522 weeks
361-.94833 .48522 (361*2π)/8522 weeks
362-.6517 -.16771 (362*2π)/8522 weeks
363-1.41287 .35696 (363*2π)/8522 weeks
364-.1463 1.19655 (364*2π)/8522 weeks
365.45723 -.10574 (365*2π)/8522 weeks
366-.49684 -.13949 (366*2π)/8522 weeks
367.13512 .34595 (367*2π)/8522 weeks
368.32565 -.5623 (368*2π)/8522 weeks
369-.4661 -.77459 (369*2π)/8522 weeks
370-.77706 -.44556 (370*2π)/8522 weeks
371-.89952 .00301 (371*2π)/8522 weeks
372-.4845 -.18643 (372*2π)/8522 weeks
373-1.36827 -.28492 (373*2π)/8522 weeks
374-1.18338 1.12507 (374*2π)/8522 weeks
375.33777 .4416 (375*2π)/8522 weeks
376-.91149 -.20689 (376*2π)/8522 weeks
377-.52731 1.11168 (377*2π)/8522 weeks
378.73438 .12098 (378*2π)/8522 weeks
379-.54518 -.72213 (379*2π)/8522 weeks
380-.85597 .38254 (380*2π)/8522 weeks
381-.05643 .21522 (381*2π)/8522 weeks
382-.7805 -.53368 (382*2π)/8522 weeks
383-1.60739 .60389 (383*2π)/8522 weeks
384-.56258 1.34338 (384*2π)/8522 weeks
385-.28739 .70118 (385*2π)/8522 weeks
386-.71628 1.02099 (386*2π)/8522 weeks
387.08253 1.75159 (387*2π)/8522 weeks
3881.11378 .94129 (388*2π)/8522 weeks
389.61356 -.08644 (389*2π)/8522 weeks
390.34282 .49927 (390*2π)/8522 weeks
3911.15799 -.25328 (391*2π)/8522 weeks
392.01558 -1.30762 (392*2π)/8522 weeks
393-.99716 -.47502 (393*2π)/8522 weeks
394-.67934 -.14364 (394*2π)/8522 weeks
395-1.17743 -.34972 (395*2π)/8522 weeks
396-1.98731 .55749 (396*2π)/8522 weeks
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804-3.86272 7.85585 (804*2π)/8521 weeks
8052.86485 4.28414 (805*2π)/8521 weeks
8061.38351