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Fourier Analysis of XES (SPDR S&P Oil & Gas Equipment & Services ETF)


XES (SPDR S&P Oil & Gas Equipment & Services ETF) appears to have interesting cyclic behaviour every 74 weeks (18.4896*sine), 47 weeks (15.6912*sine), and 74 weeks (14.3893*cosine).

XES (SPDR S&P Oil & Gas Equipment & Services ETF) has an average price of 241.34 (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 6/22/2006 to 9/14/2020 for XES (SPDR S&P Oil & Gas Equipment & Services ETF), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
0241.3372   0 
1-80.96767 66.03979 (1*2π)/744744 weeks
232.27452 35.80002 (2*2π)/744372 weeks
3-24.45865 32.31932 (3*2π)/744248 weeks
4-14.07301 56.23169 (4*2π)/744186 weeks
5-23.1567 -10.72575 (5*2π)/744149 weeks
6-5.47144 10.3412 (6*2π)/744124 weeks
77.3546 -1.4301 (7*2π)/744106 weeks
810.3266 .15557 (8*2π)/74493 weeks
97.9048 16.2126 (9*2π)/74483 weeks
10-14.38929 18.4896 (10*2π)/74474 weeks
11-5.88833 7.08722 (11*2π)/74468 weeks
124.10365 -9.4046 (12*2π)/74462 weeks
133.39396 7.60421 (13*2π)/74457 weeks
147.28254 -1.25086 (14*2π)/74453 weeks
156.30657 11.5276 (15*2π)/74450 weeks
162.69171 15.69117 (16*2π)/74447 weeks
17-8.95017 .25779 (17*2π)/74444 weeks
18-3.81819 7.6667 (18*2π)/74441 weeks
191.61485 -1.04583 (19*2π)/74439 weeks
205.77347 .61658 (20*2π)/74437 weeks
216.97349 1.86865 (21*2π)/74435 weeks
22-1.24911 2.83701 (22*2π)/74434 weeks
232.49757 6.28578 (23*2π)/74432 weeks
24-4.57384 1.95361 (24*2π)/74431 weeks
25-2.99625 -1.46953 (25*2π)/74430 weeks
261.20332 4.13745 (26*2π)/74429 weeks
271.92838 -1.96854 (27*2π)/74428 weeks
28.23877 2.78457 (28*2π)/74427 weeks
291.24231 2.22267 (29*2π)/74426 weeks
302.89478 1.42647 (30*2π)/74425 weeks
31-1.12357 3.86371 (31*2π)/74424 weeks
32.75673 1.05052 (32*2π)/74423 weeks
33-1.41288 2.13919 (33*2π)/74423 weeks
34.59636 3.81965 (34*2π)/74422 weeks
351.84641 6.63598 (35*2π)/74421 weeks
36-1.85894 .90501 (36*2π)/74421 weeks
372.17944 3.89413 (37*2π)/74420 weeks
38.61827 .33 (38*2π)/74420 weeks
392.36366 1.12126 (39*2π)/74419 weeks
40-.36737 4.95273 (40*2π)/74419 weeks
41-1.54533 3.66153 (41*2π)/74418 weeks
42.31468 1.31358 (42*2π)/74418 weeks
43.48045 2.01557 (43*2π)/74417 weeks
44.69006 -1.41704 (44*2π)/74417 weeks
453.04238 2.28029 (45*2π)/74417 weeks
46-.45166 4.39001 (46*2π)/74416 weeks
47-1.24301 1.42848 (47*2π)/74416 weeks
481.2482 1.50236 (48*2π)/74416 weeks
49-1.73411 1.27496 (49*2π)/74415 weeks
50-.17491 .48666 (50*2π)/74415 weeks
51-.0612 .66173 (51*2π)/74415 weeks
52-.9435 1.30032 (52*2π)/74414 weeks
531.16419 1.31487 (53*2π)/74414 weeks
54-.46669 .5555 (54*2π)/74414 weeks
55-1.58584 -1.25577 (55*2π)/74414 weeks
56.93939 1.35081 (56*2π)/74413 weeks
57.41796 2.36613 (57*2π)/74413 weeks
581.2574 1.17954 (58*2π)/74413 weeks
591.47157 1.27341 (59*2π)/74413 weeks
60-.10882 1.66853 (60*2π)/74412 weeks
61-.24529 1.60241 (61*2π)/74412 weeks
62-1.33033 -.46181 (62*2π)/74412 weeks
63-.32467 .19527 (63*2π)/74412 weeks
641.59407 -.98002 (64*2π)/74412 weeks
65-.10378 1.98057 (65*2π)/74411 weeks
661.20282 1.55456 (66*2π)/74411 weeks
67-.31832 1.16897 (67*2π)/74411 weeks
681.87294 1.87946 (68*2π)/74411 weeks
69.02694 .73861 (69*2π)/74411 weeks
701.17828 1.04769 (70*2π)/74411 weeks
711.61044 2.24293 (71*2π)/74410 weeks
72-.16882 .96507 (72*2π)/74410 weeks
73.48492 .97667 (73*2π)/74410 weeks
74-1.22904 .82357 (74*2π)/74410 weeks
75-.97592 .64145 (75*2π)/74410 weeks
761.06558 -1.18619 (76*2π)/74410 weeks
771.31635 1.5415 (77*2π)/74410 weeks
78.96316 2.39359 (78*2π)/74410 weeks
79-.1737 1.49176 (79*2π)/7449 weeks
80-.17473 .72425 (80*2π)/7449 weeks
81-1.0348 -.32419 (81*2π)/7449 weeks
821.002 -.26025 (82*2π)/7449 weeks
83.22265 1.03925 (83*2π)/7449 weeks
84.73343 .73374 (84*2π)/7449 weeks
851.9627 .96222 (85*2π)/7449 weeks
86-.58195 1.57983 (86*2π)/7449 weeks
871.21969 .59469 (87*2π)/7449 weeks
88-1.40271 .27617 (88*2π)/7448 weeks
89.11024 2.20285 (89*2π)/7448 weeks
901.44447 .16023 (90*2π)/7448 weeks
91.49038 1.52355 (91*2π)/7448 weeks
92-.11568 -.55257 (92*2π)/7448 weeks
931.52385 2.24605 (93*2π)/7448 weeks
94.6955 2.04922 (94*2π)/7448 weeks
951.89247 -.64529 (95*2π)/7448 weeks
96.91886 1.34616 (96*2π)/7448 weeks
97.91393 2.37297 (97*2π)/7448 weeks
98-.47169 .66059 (98*2π)/7448 weeks
99-.76989 2.36867 (99*2π)/7448 weeks
100-.17064 -.91134 (100*2π)/7447 weeks
1012.0422 .11751 (101*2π)/7447 weeks
102.38973 1.22273 (102*2π)/7447 weeks
103-1.17149 -.21866 (103*2π)/7447 weeks
1041.62511 1.40387 (104*2π)/7447 weeks
105-1.14277 .8579 (105*2π)/7447 weeks
106-.97783 .57718 (106*2π)/7447 weeks
1071.4143 .00738 (107*2π)/7447 weeks
108-.45164 1.31161 (108*2π)/7447 weeks
109.6342 .23465 (109*2π)/7447 weeks
110.54746 .91784 (110*2π)/7447 weeks
111-.82921 .26769 (111*2π)/7447 weeks
1121.48045 .16709 (112*2π)/7447 weeks
113-.34298 1.12246 (113*2π)/7447 weeks
114.0194 .24758 (114*2π)/7447 weeks
1151.08787 1.01337 (115*2π)/7446 weeks
116.28445 1.7496 (116*2π)/7446 weeks
117-.21491 -.20887 (117*2π)/7446 weeks
118-.43319 .1911 (118*2π)/7446 weeks
1191.13507 .24205 (119*2π)/7446 weeks
120.88051 .09618 (120*2π)/7446 weeks
121.42389 1.69106 (121*2π)/7446 weeks
122.12065 1.64691 (122*2π)/7446 weeks
123-.01365 .40865 (123*2π)/7446 weeks
124.21655 .06877 (124*2π)/7446 weeks
125.19202 .04715 (125*2π)/7446 weeks
1261.09487 1.02698 (126*2π)/7446 weeks
127.25018 .56536 (127*2π)/7446 weeks
128.0723 .16002 (128*2π)/7446 weeks
129.81067 1.14736 (129*2π)/7446 weeks
130-.60117 -.22486 (130*2π)/7446 weeks
131-.23192 1.00361 (131*2π)/7446 weeks
132.28753 .06696 (132*2π)/7446 weeks
133.75286 .53223 (133*2π)/7446 weeks
134.21741 1.00555 (134*2π)/7446 weeks
135.68355 1.11415 (135*2π)/7446 weeks
136.16975 .43646 (136*2π)/7445 weeks
137-.45153 .39951 (137*2π)/7445 weeks
138.20531 .80922 (138*2π)/7445 weeks
1391.00906 -.1276 (139*2π)/7445 weeks
140-.00056 1.09122 (140*2π)/7445 weeks
141.35357 .37174 (141*2π)/7445 weeks
142.07011 .62399 (142*2π)/7445 weeks
143-.1465 .24959 (143*2π)/7445 weeks
1441.26849 .17003 (144*2π)/7445 weeks
145.51243 .08747 (145*2π)/7445 weeks
146.50283 .73828 (146*2π)/7445 weeks
147.20539 1.24534 (147*2π)/7445 weeks
148-.22938 .0049 (148*2π)/7445 weeks
149.22284 .1057 (149*2π)/7445 weeks
150.97767 -.05869 (150*2π)/7445 weeks
151.92678 1.02917 (151*2π)/7445 weeks
152.22491 .6629 (152*2π)/7445 weeks
153.54749 .73289 (153*2π)/7445 weeks
154-.43649 .54817 (154*2π)/7445 weeks
155-.79877 -.46611 (155*2π)/7445 weeks
156.94181 .21733 (156*2π)/7445 weeks
157.5263 .18206 (157*2π)/7445 weeks
158.92416 .7001 (158*2π)/7445 weeks
159.81252 .76368 (159*2π)/7445 weeks
160-.04853 1.21968 (160*2π)/7445 weeks
161-.58415 .27793 (161*2π)/7445 weeks
162.43543 .23806 (162*2π)/7445 weeks
163.05071 .1697 (163*2π)/7445 weeks
164.95847 .62651 (164*2π)/7445 weeks
165.14143 .92405 (165*2π)/7445 weeks
166-.24452 .97875 (166*2π)/7444 weeks
167.02756 -.62488 (167*2π)/7444 weeks
168.31486 1.17351 (168*2π)/7444 weeks
169.57791 -.03906 (169*2π)/7444 weeks
170-.10435 .27109 (170*2π)/7444 weeks
171.42585 .6569 (171*2π)/7444 weeks
172.35767 .61615 (172*2π)/7444 weeks
173.00009 .62678 (173*2π)/7444 weeks
174-.09468 .45612 (174*2π)/7444 weeks
175-.00677 .10327 (175*2π)/7444 weeks
1761.09835 -.06343 (176*2π)/7444 weeks
177.18222 1.35962 (177*2π)/7444 weeks
178.51699 .56408 (178*2π)/7444 weeks
179-.70712 .09489 (179*2π)/7444 weeks
180.64052 1.18837 (180*2π)/7444 weeks
181.02413 .27253 (181*2π)/7444 weeks
182-.28606 -.22611 (182*2π)/7444 weeks
183.56837 .47646 (183*2π)/7444 weeks
184-.17308 -.08524 (184*2π)/7444 weeks
185.69202 -.01314 (185*2π)/7444 weeks
186.20095 1.20221 (186*2π)/7444 weeks
187-.27863 .0782 (187*2π)/7444 weeks
188.83662 -.39049 (188*2π)/7444 weeks
189.36449 .52521 (189*2π)/7444 weeks
190.1537 .57151 (190*2π)/7444 weeks
191.30047 .80669 (191*2π)/7444 weeks
192-.51034 .61364 (192*2π)/7444 weeks
193.54262 -.40639 (193*2π)/7444 weeks
194.01 .09624 (194*2π)/7444 weeks
195-.12123 .48757 (195*2π)/7444 weeks
196.40588 -.41922 (196*2π)/7444 weeks
197.70791 .80068 (197*2π)/7444 weeks
198.22942 .36755 (198*2π)/7444 weeks
199.4401 .39075 (199*2π)/7444 weeks
200-.33178 .02037 (200*2π)/7444 weeks
201.04433 -.49076 (201*2π)/7444 weeks
202.09668 .52298 (202*2π)/7444 weeks
203.25066 .05725 (203*2π)/7444 weeks
2041.22347 .64621 (204*2π)/7444 weeks
205-.17911 .63107 (205*2π)/7444 weeks
206-.35962 .08734 (206*2π)/7444 weeks
207.5845 .15329 (207*2π)/7444 weeks
208.31274 .02622 (208*2π)/7444 weeks
209.00161 .23128 (209*2π)/7444 weeks
210.23033 .27598 (210*2π)/7444 weeks
211.18956 -.10443 (211*2π)/7444 weeks
212.49379 .38402 (212*2π)/7444 weeks
213.18851 .6277 (213*2π)/7443 weeks
214-.13296 -.45747 (214*2π)/7443 weeks
215.6448 .02132 (215*2π)/7443 weeks
216.24589 .49103 (216*2π)/7443 weeks
217.21336 .1178 (217*2π)/7443 weeks
218.585 .12933 (218*2π)/7443 weeks
219.51559 .67044 (219*2π)/7443 weeks
220.00036 .13728 (220*2π)/7443 weeks
221-.06715 .4378 (221*2π)/7443 weeks
222.90701 .10691 (222*2π)/7443 weeks
223-.03593 .11351 (223*2π)/7443 weeks
224.39614 .24569 (224*2π)/7443 weeks
225.04111 .68723 (225*2π)/7443 weeks
226.19722 -.27106 (226*2π)/7443 weeks
227.47009 -.02302 (227*2π)/7443 weeks
228.45313 .24096 (228*2π)/7443 weeks
229.5187 -.10292 (229*2π)/7443 weeks
230.47201 .69376 (230*2π)/7443 weeks
231.05997 -.03025 (231*2π)/7443 weeks
232.13214 .40375 (232*2π)/7443 weeks
2331.07677 -.05847 (233*2π)/7443 weeks
234.24266 .29714 (234*2π)/7443 weeks
235.19296 .65847 (235*2π)/7443 weeks
236.06527 .44123 (236*2π)/7443 weeks
237.0121 .01138 (237*2π)/7443 weeks
238-.09444 .02999 (238*2π)/7443 weeks
239.11666 .02269 (239*2π)/7443 weeks
240.25943 -.45562 (240*2π)/7443 weeks
2411.13283 .10011 (241*2π)/7443 weeks
242.46003 .72284 (242*2π)/7443 weeks
243.16075 .0953 (243*2π)/7443 weeks
244-.07303 .19375 (244*2π)/7443 weeks
245-.30598 .13642 (245*2π)/7443 weeks
246.1074 .10426 (246*2π)/7443 weeks
247.38776 .00403 (247*2π)/7443 weeks
248.66901 -.5443 (248*2π)/7443 weeks
249.49498 .10846 (249*2π)/7443 weeks
250.44314 .17041 (250*2π)/7443 weeks
251.52471 .45968 (251*2π)/7443 weeks
252.1056 -.05124 (252*2π)/7443 weeks
253.86266 .25628 (253*2π)/7443 weeks
254.34061 .21762 (254*2π)/7443 weeks
255-.29829 -.264 (255*2π)/7443 weeks
256.65172 -.28223 (256*2π)/7443 weeks
257.22135 .16409 (257*2π)/7443 weeks
258.56225 .748 (258*2π)/7443 weeks
259.69061 .16174 (259*2π)/7443 weeks
260-.37626 .12316 (260*2π)/7443 weeks
261.42787 -.04724 (261*2π)/7443 weeks
262.0347 -.05359 (262*2π)/7443 weeks
263.20112 -.35858 (263*2π)/7443 weeks
2641.30416 -.33762 (264*2π)/7443 weeks
265.36914 .60884 (265*2π)/7443 weeks
266.25127 .38456 (266*2π)/7443 weeks
267.09055 .63569 (267*2π)/7443 weeks
268.03047 -.1539 (268*2π)/7443 weeks
269.55265 -.01064 (269*2π)/7443 weeks
270.37489 .12603 (270*2π)/7443 weeks
271-.31413 .06256 (271*2π)/7443 weeks
2721.15686 .22988 (272*2π)/7443 weeks
273.19263 .2527 (273*2π)/7443 weeks
274.33426 -.55504 (274*2π)/7443 weeks
275.82738 .47788 (275*2π)/7443 weeks
276-.00906 .11613 (276*2π)/7443 weeks
277.56546 .1765 (277*2π)/7443 weeks
278.21369 .63909 (278*2π)/7443 weeks
279.27931 .60633 (279*2π)/7443 weeks
280-.01615 -.2152 (280*2π)/7443 weeks
281.28849 -.03073 (281*2π)/7443 weeks
282.76302 -.16893 (282*2π)/7443 weeks
283.60686 .46037 (283*2π)/7443 weeks
284.03161 .50671 (284*2π)/7443 weeks
285.13464 -.15509 (285*2π)/7443 weeks
286.40307 -.11446 (286*2π)/7443 weeks
287.26641 .06768 (287*2π)/7443 weeks
288.48395 -.00678 (288*2π)/7443 weeks
289.50067 .86886 (289*2π)/7443 weeks
290-.12867 .11033 (290*2π)/7443 weeks
291.4122 -.07682 (291*2π)/7443 weeks
292-.06845 .06264 (292*2π)/7443 weeks
293.47999 -.08503 (293*2π)/7443 weeks
294.23645 .49112 (294*2π)/7443 weeks
295.05107 .55386 (295*2π)/7443 weeks
296.25417 -.61286 (296*2π)/7443 weeks
297.48967 -.19862 (297*2π)/7443 weeks
298.56108 .28605 (298*2π)/7442 weeks
299-.22736 .19028 (299*2π)/7442 weeks
300.31942 -.16039 (300*2π)/7442 weeks
301.31007 .33866 (301*2π)/7442 weeks
302.12111 -.04206 (302*2π)/7442 weeks
303.7628 -.07163 (303*2π)/7442 weeks
304.78296 .34487 (304*2π)/7442 weeks
305.03528 .0455 (305*2π)/7442 weeks
306.48226 .94401 (306*2π)/7442 weeks
307.45899 .27272 (307*2π)/7442 weeks
308.08751 .37295 (308*2π)/7442 weeks
309.278 .72257 (309*2π)/7442 weeks
310-.15277 -.17679 (310*2π)/7442 weeks
311-.094 -.23822 (311*2π)/7442 weeks
312.53917 .22399 (312*2π)/7442 weeks
313-.09549 -.13715 (313*2π)/7442 weeks
314.44637 .24139 (314*2π)/7442 weeks
315.08172 .18116 (315*2π)/7442 weeks
316.46461 -.19483 (316*2π)/7442 weeks
317.27499 .00355 (317*2π)/7442 weeks
318.11986 -.03536 (318*2π)/7442 weeks
319.80985 .05553 (319*2π)/7442 weeks
320.3705 -.17633 (320*2π)/7442 weeks
321.36819 .35636 (321*2π)/7442 weeks
322.75033 .08326 (322*2π)/7442 weeks
323-.14929 .92273 (323*2π)/7442 weeks
324.05829 -.38406 (324*2π)/7442 weeks
325.30555 .62667 (325*2π)/7442 weeks
326-.1419 .02443 (326*2π)/7442 weeks
327.84443 -.26716 (327*2π)/7442 weeks
328.12877 .51785 (328*2π)/7442 weeks
329.40937 -.13235 (329*2π)/7442 weeks
330.55952 .17366 (330*2π)/7442 weeks
331.27277 .23502 (331*2π)/7442 weeks
332.34055 -.19001 (332*2π)/7442 weeks
333.41881 .56063 (333*2π)/7442 weeks
334.18253 .59176 (334*2π)/7442 weeks
335-.02708 .13098 (335*2π)/7442 weeks
336-.05936 .26853 (336*2π)/7442 weeks
337.31502 -.46277 (337*2π)/7442 weeks
338.30174 -.03797 (338*2π)/7442 weeks
339.6863 .23584 (339*2π)/7442 weeks
340-.10986 -.02393 (340*2π)/7442 weeks
341.52317 .31726 (341*2π)/7442 weeks
342-.06864 .14534 (342*2π)/7442 weeks
343-.1247 .34734 (343*2π)/7442 weeks
344.53903 -.30824 (344*2π)/7442 weeks
345.03384 .06015 (345*2π)/7442 weeks
346.42998 -.11579 (346*2π)/7442 weeks
347.10983 .70449 (347*2π)/7442 weeks
348-.33337 .07732 (348*2π)/7442 weeks
349.06095 -.64039 (349*2π)/7442 weeks
350-.02483 .06494 (350*2π)/7442 weeks
351.24692 -.03246 (351*2π)/7442 weeks
352.48614 .04808 (352*2π)/7442 weeks
353.2934 .67438 (353*2π)/7442 weeks
354.11831 -.21588 (354*2π)/7442 weeks
355-.36036 -.22823 (355*2π)/7442 weeks
356.85783 .26052 (356*2π)/7442 weeks
357.13088 -.29854 (357*2π)/7442 weeks
358.12895 .05988 (358*2π)/7442 weeks
359.16355 .25998 (359*2π)/7442 weeks
360.07489 -.11537 (360*2π)/7442 weeks
361.21371 .20403 (361*2π)/7442 weeks
362.48687 -.7362 (362*2π)/7442 weeks
363.81685 .30956 (363*2π)/7442 weeks
364.28519 .31402 (364*2π)/7442 weeks
365.02177 .36061 (365*2π)/7442 weeks
366.20667 .01663 (366*2π)/7442 weeks
367-.22556 .35164 (367*2π)/7442 weeks
368.44223 -.09928 (368*2π)/7442 weeks
369.3736 .01902 (369*2π)/7442 weeks
370.11819 .01333 (370*2π)/7442 weeks
371.56605 .39954 (371*2π)/7442 weeks
372-.50764   (372*2π)/7442 weeks
373.56605 -.39954 (373*2π)/7442 weeks
374.11819 -.01333 (374*2π)/7442 weeks
375.3736 -.01902 (375*2π)/7442 weeks
376.44223 .09928 (376*2π)/7442 weeks
377-.22556 -.35164 (377*2π)/7442 weeks
378.20667 -.01663 (378*2π)/7442 weeks
379.02177 -.36061 (379*2π)/7442 weeks
380.28519 -.31402 (380*2π)/7442 weeks
381.81685 -.30956 (381*2π)/7442 weeks
382.48687 .7362 (382*2π)/7442 weeks
383.21371 -.20403 (383*2π)/7442 weeks
384.07489 .11537 (384*2π)/7442 weeks
385.16355 -.25998 (385*2π)/7442 weeks
386.12895 -.05988 (386*2π)/7442 weeks
387.13088 .29854 (387*2π)/7442 weeks
388.85783 -.26052 (388*2π)/7442 weeks
389-.36036 .22823 (389*2π)/7442 weeks
390.11831 .21588 (390*2π)/7442 weeks
391.2934 -.67438 (391*2π)/7442 weeks
392.48614 -.04808 (392*2π)/7442 weeks
393.24692 .03246 (393*2π)/7442 weeks
394-.02483 -.06494 (394*2π)/7442 weeks
395.06095 .64039 (395*2π)/7442 weeks
396-.33337 -.07732 (396*2π)/7442 weeks
397.10983 -.70449 (397*2π)/7442 weeks
398.42998 .11579 (398*2π)/7442 weeks
399.03384 -.06015 (399*2π)/7442 weeks
400.53903 .30824 (400*2π)/7442 weeks
401-.1247 -.34734 (401*2π)/7442 weeks
402-.06864 -.14534 (402*2π)/7442 weeks
403.52317 -.31726 (403*2π)/7442 weeks
404-.10986 .02393 (404*2π)/7442 weeks
405.6863 -.23584 (405*2π)/7442 weeks
406.30174 .03797 (406*2π)/7442 weeks
407.31502 .46277 (407*2π)/7442 weeks
408-.05936 -.26853 (408*2π)/7442 weeks
409-.02708 -.13098 (409*2π)/7442 weeks
410.18253 -.59176 (410*2π)/7442 weeks
411.41881 -.56063 (411*2π)/7442 weeks
412.34055 .19001 (412*2π)/7442 weeks
413.27277 -.23502 (413*2π)/7442 weeks
414.55952 -.17366 (414*2π)/7442 weeks
415.40937 .13235 (415*2π)/7442 weeks
416.12877 -.51785 (416*2π)/7442 weeks
417.84443 .26716 (417*2π)/7442 weeks
418-.1419 -.02443 (418*2π)/7442 weeks
419.30555 -.62667 (419*2π)/7442 weeks
420.05829 .38406 (420*2π)/7442 weeks
421-.14929 -.92273 (421*2π)/7442 weeks
422.75033 -.08326 (422*2π)/7442 weeks
423.36819 -.35636 (423*2π)/7442 weeks
424.3705 .17633 (424*2π)/7442 weeks
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7313.39396 -7.60421 (731*2π)/7441 weeks
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733-5.88833 -7.08722 (733*2π)/7441 weeks
734-14.38929 -18.4896 (734*2π)/7441 weeks
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738-5.47144 -10.3412 (738*2π)/7441 weeks
739-23.1567 10.72575 (739*2π)/7441 weeks
740-14.07301 -56.23169 (740*2π)/7441 weeks
741-24.45865 -32.31932 (741*2π)/7441 weeks
74232.27452 -35.80002 (742*2π)/7441 weeks



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