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Fourier Analysis of HYGS (Hydrogenics Corporation)


HYGS (Hydrogenics Corporation) appears to have interesting cyclic behaviour every 53 weeks (8.3835*sine), 56 weeks (7.5371*sine), and 65 weeks (6.9414*sine).

HYGS (Hydrogenics Corporation) has an average price of 49.27 (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 11/1/2000 to 1/17/2017 for HYGS (Hydrogenics Corporation), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
049.26578   0 
129.36981 53.71222 (1*2π)/846846 weeks
2-9.64813 21.0604 (2*2π)/846423 weeks
3-1.94639 7.18927 (3*2π)/846282 weeks
44.6365 11.68291 (4*2π)/846212 weeks
5.89241 11.30176 (5*2π)/846169 weeks
61.74761 8.40935 (6*2π)/846141 weeks
7-3.01458 7.45929 (7*2π)/846121 weeks
8-5.08365 .68242 (8*2π)/846106 weeks
91.62251 -1.15948 (9*2π)/84694 weeks
103.10172 1.21135 (10*2π)/84685 weeks
115.17751 1.99584 (11*2π)/84677 weeks
126.11842 4.52511 (12*2π)/84671 weeks
131.71712 6.94138 (13*2π)/84665 weeks
141.96837 2.34307 (14*2π)/84660 weeks
154.55483 7.53715 (15*2π)/84656 weeks
16-.49373 8.38354 (16*2π)/84653 weeks
17-3.01595 6.80263 (17*2π)/84650 weeks
18-4.56116 2.23133 (18*2π)/84647 weeks
19-2.91561 1.18347 (19*2π)/84645 weeks
20-2.71546 -.88991 (20*2π)/84642 weeks
211.13513 -.19071 (21*2π)/84640 weeks
22-.74421 .45679 (22*2π)/84638 weeks
231.47029 -1.89712 (23*2π)/84637 weeks
242.1257 .66951 (24*2π)/84635 weeks
251.21081 1.28608 (25*2π)/84634 weeks
261.20656 .81697 (26*2π)/84633 weeks
273.17753 1.19775 (27*2π)/84631 weeks
281.36838 2.31275 (28*2π)/84630 weeks
29.81883 .37731 (29*2π)/84629 weeks
301.06527 1.72163 (30*2π)/84628 weeks
31.44095 1.39874 (31*2π)/84627 weeks
321.50074 1.37217 (32*2π)/84626 weeks
331.90371 1.38231 (33*2π)/84626 weeks
341.46712 2.81814 (34*2π)/84625 weeks
35-.65712 2.09461 (35*2π)/84624 weeks
36.09285 1.0925 (36*2π)/84624 weeks
37.09393 1.66527 (37*2π)/84623 weeks
38-.52202 1.92685 (38*2π)/84622 weeks
39-1.12461 .39289 (39*2π)/84622 weeks
40.31207 -.47404 (40*2π)/84621 weeks
41.29911 -.44608 (41*2π)/84621 weeks
42.25786 -.84 (42*2π)/84620 weeks
431.09958 -1.44919 (43*2π)/84620 weeks
442.83905 -.08212 (44*2π)/84619 weeks
452.0231 .93401 (45*2π)/84619 weeks
461.97871 .88957 (46*2π)/84618 weeks
47.96252 1.23668 (47*2π)/84618 weeks
48.52352 .48975 (48*2π)/84618 weeks
491.21586 .5364 (49*2π)/84617 weeks
501.09879 .76088 (50*2π)/84617 weeks
51.85499 .5837 (51*2π)/84617 weeks
52.7811 -.2163 (52*2π)/84616 weeks
531.55535 -.25738 (53*2π)/84616 weeks
541.37763 -.42121 (54*2π)/84616 weeks
552.50375 -.62835 (55*2π)/84615 weeks
563.17538 .55878 (56*2π)/84615 weeks
572.29846 1.73282 (57*2π)/84615 weeks
581.854 .97005 (58*2π)/84615 weeks
592.29484 1.25774 (59*2π)/84614 weeks
601.37763 1.32279 (60*2π)/84614 weeks
611.77006 .76638 (61*2π)/84614 weeks
622.04824 1.20067 (62*2π)/84614 weeks
632.08618 1.14168 (63*2π)/84613 weeks
642.07132 1.80111 (64*2π)/84613 weeks
651.67892 1.73991 (65*2π)/84613 weeks
661.775 1.9339 (66*2π)/84613 weeks
671.71556 2.35169 (67*2π)/84613 weeks
68.35646 2.48383 (68*2π)/84612 weeks
69-.06067 .7635 (69*2π)/84612 weeks
701.41268 .34965 (70*2π)/84612 weeks
712.03617 1.79606 (71*2π)/84612 weeks
721.16865 2.4443 (72*2π)/84612 weeks
73.74234 1.9756 (73*2π)/84612 weeks
74.58503 1.75429 (74*2π)/84611 weeks
75.27034 2.03867 (75*2π)/84611 weeks
76-.3482 1.74968 (76*2π)/84611 weeks
77-.32827 1.14446 (77*2π)/84611 weeks
78-.14879 1.12722 (78*2π)/84611 weeks
79-.28216 .32161 (79*2π)/84611 weeks
80.60804 -.04913 (80*2π)/84611 weeks
811.09328 .3305 (81*2π)/84610 weeks
821.19803 .54234 (82*2π)/84610 weeks
831.22359 .91786 (83*2π)/84610 weeks
841.02136 1.05085 (84*2π)/84610 weeks
85.96153 1.04493 (85*2π)/84610 weeks
861.12922 .8593 (86*2π)/84610 weeks
871.27108 1.59896 (87*2π)/84610 weeks
88.37034 1.39608 (88*2π)/84610 weeks
89.73222 1.29139 (89*2π)/84610 weeks
90.26427 1.47367 (90*2π)/8469 weeks
91-.01582 .98267 (91*2π)/8469 weeks
92.21262 .3194 (92*2π)/8469 weeks
931.11826 .56808 (93*2π)/8469 weeks
94.97278 .94542 (94*2π)/8469 weeks
95.88618 1.14775 (95*2π)/8469 weeks
96.27143 1.00455 (96*2π)/8469 weeks
97.68463 .43438 (97*2π)/8469 weeks
981.0609 .89417 (98*2π)/8469 weeks
99.96002 1.13451 (99*2π)/8469 weeks
100.78553 1.37662 (100*2π)/8468 weeks
101.62302 1.2183 (101*2π)/8468 weeks
102.71602 1.28224 (102*2π)/8468 weeks
103.54686 .96205 (103*2π)/8468 weeks
104.71007 1.38706 (104*2π)/8468 weeks
105.13053 1.40437 (105*2π)/8468 weeks
106.28943 1.17318 (106*2π)/8468 weeks
107.17623 .95228 (107*2π)/8468 weeks
108.33079 .98314 (108*2π)/8468 weeks
109.08447 1.00454 (109*2π)/8468 weeks
110.07955 .91175 (110*2π)/8468 weeks
111.01217 .84934 (111*2π)/8468 weeks
112.04364 .6198 (112*2π)/8468 weeks
113-.06156 .59102 (113*2π)/8467 weeks
114-.10575 .24316 (114*2π)/8467 weeks
115-.01068 .06324 (115*2π)/8467 weeks
116.5863 .00321 (116*2π)/8467 weeks
117.63708 .46159 (117*2π)/8467 weeks
118.8136 .11304 (118*2π)/8467 weeks
1191.01345 .55012 (119*2π)/8467 weeks
120.81379 .51201 (120*2π)/8467 weeks
121.78892 .71347 (121*2π)/8467 weeks
122.63508 .64703 (122*2π)/8467 weeks
1231.07848 1.05505 (123*2π)/8467 weeks
124.4068 1.35515 (124*2π)/8467 weeks
125.08793 .78248 (125*2π)/8467 weeks
126.17604 .05005 (126*2π)/8467 weeks
1271.12822 .33713 (127*2π)/8467 weeks
128.61497 1.2962 (128*2π)/8467 weeks
129.26873 .97341 (129*2π)/8467 weeks
130.09263 .62501 (130*2π)/8467 weeks
131.36141 .10667 (131*2π)/8466 weeks
132.48268 .24028 (132*2π)/8466 weeks
133.81723 .11454 (133*2π)/8466 weeks
134.87212 .72588 (134*2π)/8466 weeks
135.59406 .29537 (135*2π)/8466 weeks
1361.4017 .40978 (136*2π)/8466 weeks
1371.50459 .99751 (137*2π)/8466 weeks
1381.0747 1.48957 (138*2π)/8466 weeks
139.58976 1.39976 (139*2π)/8466 weeks
140.28383 1.4057 (140*2π)/8466 weeks
141.10204 .91811 (141*2π)/8466 weeks
142.44689 .94422 (142*2π)/8466 weeks
143.25984 .95094 (143*2π)/8466 weeks
144.30374 .97124 (144*2π)/8466 weeks
145.15607 1.00781 (145*2π)/8466 weeks
146.12446 .76676 (146*2π)/8466 weeks
147.3635 .52508 (147*2π)/8466 weeks
148.73886 .67851 (148*2π)/8466 weeks
149.49543 1.12799 (149*2π)/8466 weeks
150.34122 1.08024 (150*2π)/8466 weeks
151.27867 1.19256 (151*2π)/8466 weeks
152-.04851 1.01839 (152*2π)/8466 weeks
153-.07715 .96904 (153*2π)/8466 weeks
154-.21896 .65713 (154*2π)/8465 weeks
155-.03376 .61046 (155*2π)/8465 weeks
156.02684 .51823 (156*2π)/8465 weeks
157.14208 .59811 (157*2π)/8465 weeks
158.08624 .69607 (158*2π)/8465 weeks
159-.0834 .69842 (159*2π)/8465 weeks
160-.1101 .48338 (160*2π)/8465 weeks
161-.06765 .58115 (161*2π)/8465 weeks
162-.25078 .34166 (162*2π)/8465 weeks
163.00311 .20401 (163*2π)/8465 weeks
164.15834 .19134 (164*2π)/8465 weeks
165.32188 .20922 (165*2π)/8465 weeks
166.23139 .21209 (166*2π)/8465 weeks
167.27948 .12288 (167*2π)/8465 weeks
168.50261 .31402 (168*2π)/8465 weeks
169.32659 .52892 (169*2π)/8465 weeks
170.21783 .42259 (170*2π)/8465 weeks
171.25745 .11556 (171*2π)/8465 weeks
172.7778 .3462 (172*2π)/8465 weeks
173.26321 .9104 (173*2π)/8465 weeks
174.04779 .48968 (174*2π)/8465 weeks
175.15802 .59766 (175*2π)/8465 weeks
176-.07553 .37357 (176*2π)/8465 weeks
177.03746 .0177 (177*2π)/8465 weeks
178.47039 -.01464 (178*2π)/8465 weeks
179.43112 .37797 (179*2π)/8465 weeks
180.22894 .15742 (180*2π)/8465 weeks
181.54317 .0776 (181*2π)/8465 weeks
182.69409 .18978 (182*2π)/8465 weeks
183.81946 .42468 (183*2π)/8465 weeks
184.61754 .76453 (184*2π)/8465 weeks
185.10937 .63572 (185*2π)/8465 weeks
186.28524 .18749 (186*2π)/8465 weeks
187.59735 .56079 (187*2π)/8465 weeks
188.33565 .55069 (188*2π)/8465 weeks
189.44246 .44666 (189*2π)/8464 weeks
190.28157 .43331 (190*2π)/8464 weeks
191.36804 .37799 (191*2π)/8464 weeks
192.48747 .31916 (192*2π)/8464 weeks
193.55543 .6664 (193*2π)/8464 weeks
194.23271 .4777 (194*2π)/8464 weeks
195.71698 .43641 (195*2π)/8464 weeks
196.58904 .7675 (196*2π)/8464 weeks
197.29133 .81019 (197*2π)/8464 weeks
198.08454 .56193 (198*2π)/8464 weeks
199.30252 .62438 (199*2π)/8464 weeks
200.06359 .73817 (200*2π)/8464 weeks
201.14826 .46217 (201*2π)/8464 weeks
202-.0031 .69672 (202*2π)/8464 weeks
203-.19106 .21017 (203*2π)/8464 weeks
204.2377 .12542 (204*2π)/8464 weeks
205.34481 .34382 (205*2π)/8464 weeks
206.30766 .54149 (206*2π)/8464 weeks
207.2544 .46323 (207*2π)/8464 weeks
208.27486 .58068 (208*2π)/8464 weeks
209-.0068 .58724 (209*2π)/8464 weeks
210-.15394 .28857 (210*2π)/8464 weeks
211.08633 .20162 (211*2π)/8464 weeks
212.16575 .40433 (212*2π)/8464 weeks
213-.08977 .25313 (213*2π)/8464 weeks
214.10783 -.00006 (214*2π)/8464 weeks
215.30385 .08003 (215*2π)/8464 weeks
216.3015 .38202 (216*2π)/8464 weeks
217-.03839 .43615 (217*2π)/8464 weeks
218-.03753 .1165 (218*2π)/8464 weeks
219.07574 -.07193 (219*2π)/8464 weeks
220.20652 -.15568 (220*2π)/8464 weeks
221.39845 -.11808 (221*2π)/8464 weeks
222.52384 .19297 (222*2π)/8464 weeks
223.45939 .23534 (223*2π)/8464 weeks
224.63449 .2253 (224*2π)/8464 weeks
225.44613 .51606 (225*2π)/8464 weeks
226.26202 .20926 (226*2π)/8464 weeks
227.39814 .24584 (227*2π)/8464 weeks
228.57496 .33136 (228*2π)/8464 weeks
229.30187 .78518 (229*2π)/8464 weeks
230-.09313 .40191 (230*2π)/8464 weeks
231.07478 .16761 (231*2π)/8464 weeks
232.27062 .10851 (232*2π)/8464 weeks
233.23969 .3211 (233*2π)/8464 weeks
234.06485 .1571 (234*2π)/8464 weeks
235.25185 .04906 (235*2π)/8464 weeks
236.29444 .14433 (236*2π)/8464 weeks
237.31321 .06585 (237*2π)/8464 weeks
238.50201 .01455 (238*2π)/8464 weeks
239.73116 .30364 (239*2π)/8464 weeks
240.48624 .52317 (240*2π)/8464 weeks
241.21998 .56406 (241*2π)/8464 weeks
242-.02862 .29857 (242*2π)/8463 weeks
243.16364 .1118 (243*2π)/8463 weeks
244.26532 .03858 (244*2π)/8463 weeks
245.55716 .243 (245*2π)/8463 weeks
246.26799 .55444 (246*2π)/8463 weeks
247.03471 .27702 (247*2π)/8463 weeks
248.21755 .09698 (248*2π)/8463 weeks
249.31344 .10639 (249*2π)/8463 weeks
250.30947 .2204 (250*2π)/8463 weeks
251.21047 .17312 (251*2π)/8463 weeks
252.34305 .03663 (252*2π)/8463 weeks
253.49937 .10308 (253*2π)/8463 weeks
254.59803 .17833 (254*2π)/8463 weeks
255.54815 .46319 (255*2π)/8463 weeks
256.34546 .52915 (256*2π)/8463 weeks
257.17996 .4905 (257*2π)/8463 weeks
258.1292 .47234 (258*2π)/8463 weeks
259.06801 .31125 (259*2π)/8463 weeks
260.2017 .36736 (260*2π)/8463 weeks
261.02043 .4292 (261*2π)/8463 weeks
262-.05141 .39374 (262*2π)/8463 weeks
263-.15325 .21812 (263*2π)/8463 weeks
264-.1244 .05146 (264*2π)/8463 weeks
265-.0133 -.1556 (265*2π)/8463 weeks
266.08273 -.09825 (266*2π)/8463 weeks
267.09714 -.19737 (267*2π)/8463 weeks
268.34328 -.35394 (268*2π)/8463 weeks
269.63112 -.02793 (269*2π)/8463 weeks
270.38407 .22107 (270*2π)/8463 weeks
271.33317 .09901 (271*2π)/8463 weeks
272.35448 .32193 (272*2π)/8463 weeks
273-.0139 .22618 (273*2π)/8463 weeks
274.07721 -.19004 (274*2π)/8463 weeks
275.42223 -.18114 (275*2π)/8463 weeks
276.34299 .09174 (276*2π)/8463 weeks
277.22687 -.15511 (277*2π)/8463 weeks
278.59474 -.08577 (278*2π)/8463 weeks
279.42436 .30911 (279*2π)/8463 weeks
280.04527 .03802 (280*2π)/8463 weeks
281.35593 -.18589 (281*2π)/8463 weeks
282.33757 -.05698 (282*2π)/8463 weeks
283.55623 -.1927 (283*2π)/8463 weeks
284.69635 .12684 (284*2π)/8463 weeks
285.47549 .28382 (285*2π)/8463 weeks
286.33223 .111 (286*2π)/8463 weeks
287.39914 -.01436 (287*2π)/8463 weeks
288.44821 .01754 (288*2π)/8463 weeks
289.50099 .05979 (289*2π)/8463 weeks
290.56763 .25223 (290*2π)/8463 weeks
291.34058 .22972 (291*2π)/8463 weeks
292.43107 .09949 (292*2π)/8463 weeks
293.3992 .00528 (293*2π)/8463 weeks
294.55388 .08064 (294*2π)/8463 weeks
295.50952 .22928 (295*2π)/8463 weeks
296.47886 .42012 (296*2π)/8463 weeks
297.17568 .3614 (297*2π)/8463 weeks
298.22874 .03908 (298*2π)/8463 weeks
299.3207 -.07095 (299*2π)/8463 weeks
300.53572 .10568 (300*2π)/8463 weeks
301.20802 .30355 (301*2π)/8463 weeks
302.15987 .02569 (302*2π)/8463 weeks
303.30015 -.03753 (303*2π)/8463 weeks
304.46113 -.12957 (304*2π)/8463 weeks
305.60407 -.15508 (305*2π)/8463 weeks
306.81727 .06347 (306*2π)/8463 weeks
307.46911 .34018 (307*2π)/8463 weeks
308.38242 .0894 (308*2π)/8463 weeks
309.56771 .14605 (309*2π)/8463 weeks
310.66291 .26428 (310*2π)/8463 weeks
311.48432 .40252 (311*2π)/8463 weeks
312.30003 .2554 (312*2π)/8463 weeks
313.24722 .17837 (313*2π)/8463 weeks
314.29835 .04345 (314*2π)/8463 weeks
315.47079 .12691 (315*2π)/8463 weeks
316.41456 .08013 (316*2π)/8463 weeks
317.59601 .10724 (317*2π)/8463 weeks
318.53328 .29334 (318*2π)/8463 weeks
319.30586 .45685 (319*2π)/8463 weeks
320.16313 .20322 (320*2π)/8463 weeks
321.34796 .11566 (321*2π)/8463 weeks
322.28677 .02577 (322*2π)/8463 weeks
323.50263 -.05169 (323*2π)/8463 weeks
324.51142 .108 (324*2π)/8463 weeks
325.45572 .18857 (325*2π)/8463 weeks
326.37691 .08621 (326*2π)/8463 weeks
327.57778 -.03857 (327*2π)/8463 weeks
328.73651 .10519 (328*2π)/8463 weeks
329.76683 .36357 (329*2π)/8463 weeks
330.56665 .53924 (330*2π)/8463 weeks
331.28987 .51701 (331*2π)/8463 weeks
332.39104 .29524 (332*2π)/8463 weeks
333.41603 .49245 (333*2π)/8463 weeks
334.23868 .38339 (334*2π)/8463 weeks
335.25258 .36585 (335*2π)/8463 weeks
336.02668 .34279 (336*2π)/8463 weeks
337.04265 -.06424 (337*2π)/8463 weeks
338.50147 -.01136 (338*2π)/8463 weeks
339.45348 .24058 (339*2π)/8462 weeks
340.32975 .20597 (340*2π)/8462 weeks
341.4369 .18721 (341*2π)/8462 weeks
342.46059 .27642 (342*2π)/8462 weeks
343.4481 .18289 (343*2π)/8462 weeks
344.52442 .33385 (344*2π)/8462 weeks
345.38839 .48441 (345*2π)/8462 weeks
346.18782 .47764 (346*2π)/8462 weeks
347.1988 .3949 (347*2π)/8462 weeks
348.21146 .35205 (348*2π)/8462 weeks
349.24324 .39045 (349*2π)/8462 weeks
350.05169 .34504 (350*2π)/8462 weeks
351.08888 .17796 (351*2π)/8462 weeks
352.0838 .16374 (352*2π)/8462 weeks
353.24705 .10436 (353*2π)/8462 weeks
354.27347 .21056 (354*2π)/8462 weeks
355.19581 .19707 (355*2π)/8462 weeks
356.19776 .13831 (356*2π)/8462 weeks
357.24685 .12621 (357*2π)/8462 weeks
358.23663 .27113 (358*2π)/8462 weeks
359.081 .1769 (359*2π)/8462 weeks
360.22462 .06737 (360*2π)/8462 weeks
361.28222 .18542 (361*2π)/8462 weeks
362.26966 .26219 (362*2π)/8462 weeks
363.13154 .29808 (363*2π)/8462 weeks
364.10301 .2429 (364*2π)/8462 weeks
365.03402 .11033 (365*2π)/8462 weeks
366.15363 .0537 (366*2π)/8462 weeks
367.04425 .11945 (367*2π)/8462 weeks
368.05093 -.10522 (368*2π)/8462 weeks
369.20502 -.12619 (369*2π)/8462 weeks
370.402 -.17198 (370*2π)/8462 weeks
371.52422 -.00311 (371*2π)/8462 weeks
372.55225 .2573 (372*2π)/8462 weeks
373.23995 .45345 (373*2π)/8462 weeks
374-.00056 .23805 (374*2π)/8462 weeks
375.1436 .19339 (375*2π)/8462 weeks
376-.0688 .18302 (376*2π)/8462 weeks
377-.09599 -.164 (377*2π)/8462 weeks
378.30669 -.22628 (378*2π)/8462 weeks
379.41158 .05443 (379*2π)/8462 weeks
380.20392 -.01557 (380*2π)/8462 weeks
381.27639 -.14961 (381*2π)/8462 weeks
382.41364 -.01578 (382*2π)/8462 weeks
383.33851 .162 (383*2π)/8462 weeks
384.30404 .12514 (384*2π)/8462 weeks
385.25429 .11123 (385*2π)/8462 weeks
386.21107 .05386 (386*2π)/8462 weeks
387.32582 .00397 (387*2π)/8462 weeks
388.35666 .14126 (388*2π)/8462 weeks
389.26583 .25537 (389*2π)/8462 weeks
390.04585 .21362 (390*2π)/8462 weeks
391.06975 .01923 (391*2π)/8462 weeks
392.17721 -.06265 (392*2π)/8462 weeks
393.35059 -.06772 (393*2π)/8462 weeks
394.31606 .08587 (394*2π)/8462 weeks
395.20317 .11173 (395*2π)/8462 weeks
396.17566 -.00576 (396*2π)/8462 weeks
397.2801 .07329 (397*2π)/8462 weeks
398.20096 .10614 (398*2π)/8462 weeks
399.20751 .01204 (399*2π)/8462 weeks
400.23169 .08621 (400*2π)/8462 weeks
401.05686 -.05207 (401*2π)/8462 weeks
402.32575 -.2207 (402*2π)/8462 weeks
403.43653 .10191 (403*2π)/8462 weeks
404.186 .22954 (404*2π)/8462 weeks
405.10074 .08922 (405*2π)/8462 weeks
406.1391 .1585 (406*2π)/8462 weeks
407.05076 .00246 (407*2π)/8462 weeks
408.07796 -.09826 (408*2π)/8462 weeks
409.09354 -.10965 (409*2π)/8462 weeks
410.11899 -.20558 (410*2π)/8462 weeks
411.33552 -.29522 (411*2π)/8462 weeks
412.51496 -.18997 (412*2π)/8462 weeks
413.36209 -.02807 (413*2π)/8462 weeks
414.28551 -.10845 (414*2π)/8462 weeks
415.34163 -.071 (415*2π)/8462 weeks
416.38077 .01346 (416*2π)/8462 weeks
417.32978 .02572 (417*2π)/8462 weeks
418.4303 -.14586 (418*2π)/8462 weeks
419.54294 .02956 (419*2π)/8462 weeks
420.37738 .24438 (420*2π)/8462 weeks
421.11515 .28578 (421*2π)/8462 weeks
422.07203 .05518 (422*2π)/8462 weeks
423.29479   (423*2π)/8462 weeks
424.07203 -.05518 (424*2π)/8462 weeks
425.11515 -.28578 (425*2π)/8462 weeks
426.37738 -.24438 (426*2π)/8462 weeks
427.54294 -.02956 (427*2π)/8462 weeks
428.4303 .14586 (428*2π)/8462 weeks
429.32978 -.02572 (429*2π)/8462 weeks
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