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# Fourier Analysis of GML (SPDR(R) S&P(R) EMERGING LATIN AMERICA ETF SPDR(R) S&P(R) EMERGING LATIN AMERICA ETF)

GML (SPDR(R) S&P(R) EMERGING LATIN AMERICA ETF SPDR(R) S&P(R) EMERGING LATIN AMERICA ETF) appears to have interesting cyclic behaviour every 52 weeks (4.1502*sine), 47 weeks (4.0394*sine), and 57 weeks (3.3939*sine).

GML (SPDR(R) S&P(R) EMERGING LATIN AMERICA ETF SPDR(R) S&P(R) EMERGING LATIN AMERICA ETF) has an average price of 53.61 (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 3/23/2007 to 1/22/2018 for GML (SPDR(R) S&P(R) EMERGING LATIN AMERICA ETF SPDR(R) S&P(R) EMERGING LATIN AMERICA ETF), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
053.60669   0
1-12.64157 7.50984 (1*2π)/567567 weeks
2.47229 1.12101 (2*2π)/567284 weeks
32.41919 3.71825 (3*2π)/567189 weeks
4-4.5631 5.55232 (4*2π)/567142 weeks
5-8.01841 4.14016 (5*2π)/567113 weeks
6-5.38153 4.40651 (6*2π)/56795 weeks
7-3.41221 .09693 (7*2π)/56781 weeks
8.00221 1.3683 (8*2π)/56771 weeks
91.5697 4.04749 (9*2π)/56763 weeks
10-1.04665 3.39392 (10*2π)/56757 weeks
11.08651 4.15018 (11*2π)/56752 weeks
12-.46342 4.03943 (12*2π)/56747 weeks
131.09929 1.70369 (13*2π)/56744 weeks
14-.69233 .94376 (14*2π)/56741 weeks
151.82815 .60715 (15*2π)/56738 weeks
161.88595 .76673 (16*2π)/56735 weeks
17.8285 .25377 (17*2π)/56733 weeks
181.78343 .93777 (18*2π)/56732 weeks
19-.15268 .64048 (19*2π)/56730 weeks
20.71045 .51229 (20*2π)/56728 weeks
21-.36079 -.035 (21*2π)/56727 weeks
22-.41159 .75818 (22*2π)/56726 weeks
23-.56578 .27339 (23*2π)/56725 weeks
24.03778 .02544 (24*2π)/56724 weeks
25-.4848 .35683 (25*2π)/56723 weeks
26-.87944 .1899 (26*2π)/56722 weeks
27-1.78496 .47129 (27*2π)/56721 weeks
28-.44924 .28173 (28*2π)/56720 weeks
29-.20939 .67401 (29*2π)/56720 weeks
30.1027 .546 (30*2π)/56719 weeks
31-.20401 1.08401 (31*2π)/56718 weeks
32.07426 .92879 (32*2π)/56718 weeks
33-.15949 1.1464 (33*2π)/56717 weeks
34-.12396 .76443 (34*2π)/56717 weeks
35.96878 -.06965 (35*2π)/56716 weeks
36.87351 .51693 (36*2π)/56716 weeks
37.82027 .39778 (37*2π)/56715 weeks
38.39954 .52438 (38*2π)/56715 weeks
39.47219 .28015 (39*2π)/56715 weeks
40.51095 .56359 (40*2π)/56714 weeks
41.01917 .35199 (41*2π)/56714 weeks
42.05541 -.35318 (42*2π)/56714 weeks
43.61224 .18468 (43*2π)/56713 weeks
44-.07713 -.28672 (44*2π)/56713 weeks
45-.02098 -.07677 (45*2π)/56713 weeks
46-.16478 .17083 (46*2π)/56712 weeks
47-.20596 .54892 (47*2π)/56712 weeks
48-.50953 .3739 (48*2π)/56712 weeks
49-.48929 .29117 (49*2π)/56712 weeks
50-.45739 .73938 (50*2π)/56711 weeks
51.14006 .44992 (51*2π)/56711 weeks
52-.36951 .56006 (52*2π)/56711 weeks
53-.22471 .36405 (53*2π)/56711 weeks
54.09281 .54978 (54*2π)/56711 weeks
55.16968 .50146 (55*2π)/56710 weeks
56.15448 .38843 (56*2π)/56710 weeks
57.19289 .4128 (57*2π)/56710 weeks
58.71645 .03235 (58*2π)/56710 weeks
59.55991 .28913 (59*2π)/56710 weeks
60.55152 .33833 (60*2π)/5679 weeks
61.26797 .14757 (61*2π)/5679 weeks
62-.01574 .13254 (62*2π)/5679 weeks
63.22943 -.31018 (63*2π)/5679 weeks
64.22172 .01073 (64*2π)/5679 weeks
65-.18067 -.04312 (65*2π)/5679 weeks
66-.03254 .05038 (66*2π)/5679 weeks
67-.08234 .08268 (67*2π)/5678 weeks
68-.04868 -.116 (68*2π)/5678 weeks
69-.2537 .21018 (69*2π)/5678 weeks
70-.09695 .0125 (70*2π)/5678 weeks
71-.07963 .34059 (71*2π)/5678 weeks
72-.28148 .2027 (72*2π)/5678 weeks
73.13669 .39427 (73*2π)/5678 weeks
74.28172 .73049 (74*2π)/5678 weeks
75.15254 .65937 (75*2π)/5678 weeks
76-.0569 .62672 (76*2π)/5677 weeks
77.10717 .11917 (77*2π)/5677 weeks
78.31646 .30278 (78*2π)/5677 weeks
79.05413 .38022 (79*2π)/5677 weeks
80.4613 -.17016 (80*2π)/5677 weeks
81.46293 .40444 (81*2π)/5677 weeks
82.08365 .16501 (82*2π)/5677 weeks
83.23136 .01534 (83*2π)/5677 weeks
84-.13039 .02116 (84*2π)/5677 weeks
85.39984 -.17032 (85*2π)/5677 weeks
86.05331 .0763 (86*2π)/5677 weeks
87-.09312 -.10305 (87*2π)/5677 weeks
88-.02134 .09151 (88*2π)/5676 weeks
89-.16663 -.01024 (89*2π)/5676 weeks
90-.38386 .10274 (90*2π)/5676 weeks
91-.23009 .12037 (91*2π)/5676 weeks
92.02277 .06694 (92*2π)/5676 weeks
93.12481 .13963 (93*2π)/5676 weeks
94-.04935 .31571 (94*2π)/5676 weeks
95-.0917 .43086 (95*2π)/5676 weeks
96-.00215 .23684 (96*2π)/5676 weeks
97.1245 .23636 (97*2π)/5676 weeks
98.04729 .44566 (98*2π)/5676 weeks
99.32837 .13377 (99*2π)/5676 weeks
100.20441 -.0233 (100*2π)/5676 weeks
101.34315 .25041 (101*2π)/5676 weeks
102.37587 .19828 (102*2π)/5676 weeks
103.28407 .12663 (103*2π)/5676 weeks
104.36876 .00362 (104*2π)/5675 weeks
105.22273 -.14639 (105*2π)/5675 weeks
106.01807 -.10228 (106*2π)/5675 weeks
107.07487 .00743 (107*2π)/5675 weeks
108.07003 .03434 (108*2π)/5675 weeks
109.02967 .06717 (109*2π)/5675 weeks
110-.11596 .09444 (110*2π)/5675 weeks
111-.13526 .17284 (111*2π)/5675 weeks
112-.24363 .0224 (112*2π)/5675 weeks
113-.05041 .1098 (113*2π)/5675 weeks
114.0372 .1469 (114*2π)/5675 weeks
115-.00587 .31141 (115*2π)/5675 weeks
116-.1219 .26907 (116*2π)/5675 weeks
117.07295 .35656 (117*2π)/5675 weeks
118-.18162 .29784 (118*2π)/5675 weeks
119.23517 .08689 (119*2π)/5675 weeks
120.25301 .0583 (120*2π)/5675 weeks
121.1998 .135 (121*2π)/5675 weeks
122.34001 .12705 (122*2π)/5675 weeks
123.25684 .12697 (123*2π)/5675 weeks
124.21774 .04136 (124*2π)/5675 weeks
125.10949 .04989 (125*2π)/5675 weeks
126.14301 -.10192 (126*2π)/5675 weeks
127.25055 -.12576 (127*2π)/5674 weeks
128.04872 .1379 (128*2π)/5674 weeks
129.13026 .00488 (129*2π)/5674 weeks
130-.04935 .05049 (130*2π)/5674 weeks
131-.09814 -.09139 (131*2π)/5674 weeks
132.01048 .05209 (132*2π)/5674 weeks
133-.14984 .0717 (133*2π)/5674 weeks
134-.18522 -.04429 (134*2π)/5674 weeks
135.03264 .12014 (135*2π)/5674 weeks
136.00654 .18226 (136*2π)/5674 weeks
137.051 .06645 (137*2π)/5674 weeks
138.08288 .09717 (138*2π)/5674 weeks
139.15003 .33974 (139*2π)/5674 weeks
140.26875 .18163 (140*2π)/5674 weeks
141.0965 .32073 (141*2π)/5674 weeks
142.01118 .05862 (142*2π)/5674 weeks
143.2882 .08186 (143*2π)/5674 weeks
144.31214 .13563 (144*2π)/5674 weeks
145.23964 .1279 (145*2π)/5674 weeks
146.12262 .1446 (146*2π)/5674 weeks
147.14756 -.1446 (147*2π)/5674 weeks
148.20129 -.05516 (148*2π)/5674 weeks
149.04774 -.03769 (149*2π)/5674 weeks
150.12864 -.10227 (150*2π)/5674 weeks
151.06079 -.02193 (151*2π)/5674 weeks
152-.0013 -.10431 (152*2π)/5674 weeks
153.13115 .10897 (153*2π)/5674 weeks
154-.03276 .107 (154*2π)/5674 weeks
155-.04285 .16838 (155*2π)/5674 weeks
156-.13751 .10111 (156*2π)/5674 weeks
157-.02947 .1148 (157*2π)/5674 weeks
158-.02765 .17414 (158*2π)/5674 weeks
159-.01271 .21453 (159*2π)/5674 weeks
160.04714 .24246 (160*2π)/5674 weeks
161.12101 .14508 (161*2π)/5674 weeks
162.08695 .15473 (162*2π)/5674 weeks
163.05861 .21481 (163*2π)/5673 weeks
164.22215 -.07797 (164*2π)/5673 weeks
165.28161 .04908 (165*2π)/5673 weeks
166.10754 .06732 (166*2π)/5673 weeks
167.1612 -.04696 (167*2π)/5673 weeks
168.24997 .00948 (168*2π)/5673 weeks
169.12837 .05973 (169*2π)/5673 weeks
170.06849 -.04244 (170*2π)/5673 weeks
171.05289 -.11224 (171*2π)/5673 weeks
172.04164 -.2276 (172*2π)/5673 weeks
173.12516 -.05611 (173*2π)/5673 weeks
174.04299 -.02668 (174*2π)/5673 weeks
175.08237 -.0088 (175*2π)/5673 weeks
176-.05147 .10616 (176*2π)/5673 weeks
177-.05337 .15472 (177*2π)/5673 weeks
178.10475 .03037 (178*2π)/5673 weeks
179.00536 .10034 (179*2π)/5673 weeks
180.09588 .16308 (180*2π)/5673 weeks
181.08082 .26744 (181*2π)/5673 weeks
182.10636 .21802 (182*2π)/5673 weeks
183.10373 .27199 (183*2π)/5673 weeks
184.08383 .11149 (184*2π)/5673 weeks
185.14691 .02763 (185*2π)/5673 weeks
186.131 .04202 (186*2π)/5673 weeks
187.21811 .0729 (187*2π)/5673 weeks
188.19329 .04913 (188*2π)/5673 weeks
189.16278 -.0158 (189*2π)/5673 weeks
190.11796 .1131 (190*2π)/5673 weeks
191.1575 .00557 (191*2π)/5673 weeks
192.04344 -.04187 (192*2π)/5673 weeks
193.03089 -.09305 (193*2π)/5673 weeks
194.05438 -.05846 (194*2π)/5673 weeks
195-.15751 -.0836 (195*2π)/5673 weeks
196-.05669 .01021 (196*2π)/5673 weeks
197-.00396 -.12318 (197*2π)/5673 weeks
198-.01509 -.1228 (198*2π)/5673 weeks
199.06133 .08596 (199*2π)/5673 weeks
200.12166 -.00965 (200*2π)/5673 weeks
201.30533 .16399 (201*2π)/5673 weeks
202-.01215 .22817 (202*2π)/5673 weeks
203.0617 .27736 (203*2π)/5673 weeks
204.05573 .16553 (204*2π)/5673 weeks
205.11549 .13734 (205*2π)/5673 weeks
206.15039 .24739 (206*2π)/5673 weeks
207.12103 .08249 (207*2π)/5673 weeks
208.23309 .13515 (208*2π)/5673 weeks
209-.02702 .04506 (209*2π)/5673 weeks
210.18303 -.05826 (210*2π)/5673 weeks
211.09152 -.0568 (211*2π)/5673 weeks
212.02165 -.19715 (212*2π)/5673 weeks
213.14247 -.21105 (213*2π)/5673 weeks
214.15672 -.09679 (214*2π)/5673 weeks
215.17755 .05692 (215*2π)/5673 weeks
216-.02946 .05302 (216*2π)/5673 weeks
217-.00314 -.04113 (217*2π)/5673 weeks
218-.05779 -.04177 (218*2π)/5673 weeks
219-.03478 .0021 (219*2π)/5673 weeks
220.11043 -.01093 (220*2π)/5673 weeks
221-.1292 .14531 (221*2π)/5673 weeks
222.03014 .14795 (222*2π)/5673 weeks
223-.02583 .07335 (223*2π)/5673 weeks
224.10052 -.01315 (224*2π)/5673 weeks
225.1139 .13914 (225*2π)/5673 weeks
226.09805 .12549 (226*2π)/5673 weeks
227.13096 -.01213 (227*2π)/5672 weeks
228.21368 -.04594 (228*2π)/5672 weeks
229.22576 .09392 (229*2π)/5672 weeks
230.16305 .01886 (230*2π)/5672 weeks
231.25544 -.01825 (231*2π)/5672 weeks
232.13381 .04801 (232*2π)/5672 weeks
233.15418 -.031 (233*2π)/5672 weeks
234.21571 -.06691 (234*2π)/5672 weeks
235.16551 -.10862 (235*2π)/5672 weeks
236.07061 .095 (236*2π)/5672 weeks
237.0707 .02803 (237*2π)/5672 weeks
238.04846 -.04402 (238*2π)/5672 weeks
239-.02135 -.0529 (239*2π)/5672 weeks
240-.05693 -.00144 (240*2π)/5672 weeks
241-.0297 .03183 (241*2π)/5672 weeks
242-.02687 .00177 (242*2π)/5672 weeks
243.01298 .08299 (243*2π)/5672 weeks
244.04851 .14443 (244*2π)/5672 weeks
245.0249 .16435 (245*2π)/5672 weeks
246.0014 .2211 (246*2π)/5672 weeks
247.08595 .04559 (247*2π)/5672 weeks
248.13104 .08789 (248*2π)/5672 weeks
249.06069 -.00668 (249*2π)/5672 weeks
250.18294 .12022 (250*2π)/5672 weeks
251.06023 .02574 (251*2π)/5672 weeks
252.20511 -.07857 (252*2π)/5672 weeks
253.16211 .03652 (253*2π)/5672 weeks
254.13122 -.10173 (254*2π)/5672 weeks
255.29527 -.13502 (255*2π)/5672 weeks
256.17424 -.12538 (256*2π)/5672 weeks
257.12058 -.00088 (257*2π)/5672 weeks
258-.02966 -.04954 (258*2π)/5672 weeks
259-.03856 -.04447 (259*2π)/5672 weeks
260-.07511 -.01975 (260*2π)/5672 weeks
261-.03483 -.09095 (261*2π)/5672 weeks
262-.01696 -.0821 (262*2π)/5672 weeks
263-.07602 -.03437 (263*2π)/5672 weeks
264.13247 .03936 (264*2π)/5672 weeks
265.06851 .24314 (265*2π)/5672 weeks
266-.01679 .07736 (266*2π)/5672 weeks
267.06107 .11952 (267*2π)/5672 weeks
268-.03363 .06501 (268*2π)/5672 weeks
269.11397 -.03561 (269*2π)/5672 weeks
270.2018 .04497 (270*2π)/5672 weeks
271.1965 .15362 (271*2π)/5672 weeks
272.21383 -.06773 (272*2π)/5672 weeks
273.21744 -.07899 (273*2π)/5672 weeks
274.19509 -.09242 (274*2π)/5672 weeks
275.04511 -.01632 (275*2π)/5672 weeks
276.25115 -.16934 (276*2π)/5672 weeks
277.21765 .00735 (277*2π)/5672 weeks
278.04045 -.03133 (278*2π)/5672 weeks
279.06253 -.16121 (279*2π)/5672 weeks
280-.02455 -.0633 (280*2π)/5672 weeks
281.07584 -.07467 (281*2π)/5672 weeks
282-.05864 -.1165 (282*2π)/5672 weeks
283.13832 -.12399 (283*2π)/5672 weeks
284.13832 .12399 (284*2π)/5672 weeks
285-.05864 .1165 (285*2π)/5672 weeks
286.07584 .07467 (286*2π)/5672 weeks
287-.02455 .0633 (287*2π)/5672 weeks
288.06253 .16121 (288*2π)/5672 weeks
289.04045 .03133 (289*2π)/5672 weeks
290.21765 -.00735 (290*2π)/5672 weeks
291.25115 .16934 (291*2π)/5672 weeks
292.04511 .01632 (292*2π)/5672 weeks
293.19509 .09242 (293*2π)/5672 weeks
294.21744 .07899 (294*2π)/5672 weeks
295.21383 .06773 (295*2π)/5672 weeks
296.1965 -.15362 (296*2π)/5672 weeks
297.2018 -.04497 (297*2π)/5672 weeks
298.11397 .03561 (298*2π)/5672 weeks
299-.03363 -.06501 (299*2π)/5672 weeks
300.06107 -.11952 (300*2π)/5672 weeks
301-.01679 -.07736 (301*2π)/5672 weeks
302.06851 -.24314 (302*2π)/5672 weeks
303.13247 -.03936 (303*2π)/5672 weeks
304-.07602 .03437 (304*2π)/5672 weeks
305-.01696 .0821 (305*2π)/5672 weeks
306-.03483 .09095 (306*2π)/5672 weeks
307-.07511 .01975 (307*2π)/5672 weeks
308-.03856 .04447 (308*2π)/5672 weeks
309-.02966 .04954 (309*2π)/5672 weeks
310.12058 .00088 (310*2π)/5672 weeks
311.17424 .12538 (311*2π)/5672 weeks
312.29527 .13502 (312*2π)/5672 weeks
313.13122 .10173 (313*2π)/5672 weeks
314.16211 -.03652 (314*2π)/5672 weeks
315.20511 .07857 (315*2π)/5672 weeks
316.06023 -.02574 (316*2π)/5672 weeks
317.18294 -.12022 (317*2π)/5672 weeks
318.06069 .00668 (318*2π)/5672 weeks
319.13104 -.08789 (319*2π)/5672 weeks
320.08595 -.04559 (320*2π)/5672 weeks
321.0014 -.2211 (321*2π)/5672 weeks
322.0249 -.16435 (322*2π)/5672 weeks
323.04851 -.14443 (323*2π)/5672 weeks
324.01298 -.08299 (324*2π)/5672 weeks
325-.02687 -.00177 (325*2π)/5672 weeks
326-.0297 -.03183 (326*2π)/5672 weeks
327-.05693 .00144 (327*2π)/5672 weeks
328-.02135 .0529 (328*2π)/5672 weeks
329.04846 .04402 (329*2π)/5672 weeks
330.0707 -.02803 (330*2π)/5672 weeks
331.07061 -.095 (331*2π)/5672 weeks
332.16551 .10862 (332*2π)/5672 weeks
333.21571 .06691 (333*2π)/5672 weeks
334.15418 .031 (334*2π)/5672 weeks
335.13381 -.04801 (335*2π)/5672 weeks
336.25544 .01825 (336*2π)/5672 weeks
337.16305 -.01886 (337*2π)/5672 weeks
338.22576 -.09392 (338*2π)/5672 weeks
339.21368 .04594 (339*2π)/5672 weeks
340.13096 .01213 (340*2π)/5672 weeks
341.09805 -.12549 (341*2π)/5672 weeks
342.1139 -.13914 (342*2π)/5672 weeks
343.10052 .01315 (343*2π)/5672 weeks
344-.02583 -.07335 (344*2π)/5672 weeks
345.03014 -.14795 (345*2π)/5672 weeks
346-.1292 -.14531 (346*2π)/5672 weeks
347.11043 .01093 (347*2π)/5672 weeks
348-.03478 -.0021 (348*2π)/5672 weeks
349-.05779 .04177 (349*2π)/5672 weeks
350-.00314 .04113 (350*2π)/5672 weeks
351-.02946 -.05302 (351*2π)/5672 weeks
352.17755 -.05692 (352*2π)/5672 weeks
353.15672 .09679 (353*2π)/5672 weeks
354.14247 .21105 (354*2π)/5672 weeks
355.02165 .19715 (355*2π)/5672 weeks
356.09152 .0568 (356*2π)/5672 weeks
357.18303 .05826 (357*2π)/5672 weeks
358-.02702 -.04506 (358*2π)/5672 weeks
359.23309 -.13515 (359*2π)/5672 weeks
360.12103 -.08249 (360*2π)/5672 weeks
361.15039 -.24739 (361*2π)/5672 weeks
362.11549 -.13734 (362*2π)/5672 weeks
363.05573 -.16553 (363*2π)/5672 weeks
364.0617 -.27736 (364*2π)/5672 weeks
365-.01215 -.22817 (365*2π)/5672 weeks
366.30533 -.16399 (366*2π)/5672 weeks
367.12166 .00965 (367*2π)/5672 weeks
368.06133 -.08596 (368*2π)/5672 weeks
369-.01509 .1228 (369*2π)/5672 weeks
370-.00396 .12318 (370*2π)/5672 weeks
371-.05669 -.01021 (371*2π)/5672 weeks
372-.15751 .0836 (372*2π)/5672 weeks
373.05438 .05846 (373*2π)/5672 weeks
374.03089 .09305 (374*2π)/5672 weeks
375.04344 .04187 (375*2π)/5672 weeks
376.1575 -.00557 (376*2π)/5672 weeks
377.11796 -.1131 (377*2π)/5672 weeks
378.16278 .0158 (378*2π)/5672 weeks
379.19329 -.04913 (379*2π)/5671 weeks
380.21811 -.0729 (380*2π)/5671 weeks
381.131 -.04202 (381*2π)/5671 weeks
382.14691 -.02763 (382*2π)/5671 weeks
383.08383 -.11149 (383*2π)/5671 weeks
384.10373 -.27199 (384*2π)/5671 weeks
385.10636 -.21802 (385*2π)/5671 weeks
386.08082 -.26744 (386*2π)/5671 weeks
387.09588 -.16308 (387*2π)/5671 weeks
388.00536 -.10034 (388*2π)/5671 weeks
389.10475 -.03037 (389*2π)/5671 weeks
390-.05337 -.15472 (390*2π)/5671 weeks
391-.05147 -.10616 (391*2π)/5671 weeks
392.08237 .0088 (392*2π)/5671 weeks
393.04299 .02668 (393*2π)/5671 weeks
394.12516 .05611 (394*2π)/5671 weeks
395.04164 .2276 (395*2π)/5671 weeks
396.05289 .11224 (396*2π)/5671 weeks
397.06849 .04244 (397*2π)/5671 weeks
398.12837 -.05973 (398*2π)/5671 weeks
399.24997 -.00948 (399*2π)/5671 weeks
400.1612 .04696 (400*2π)/5671 weeks
401.10754 -.06732 (401*2π)/5671 weeks
402.28161 -.04908 (402*2π)/5671 weeks
403.22215 .07797 (403*2π)/5671 weeks
404.05861 -.21481 (404*2π)/5671 weeks
405.08695 -.15473 (405*2π)/5671 weeks
406.12101 -.14508 (406*2π)/5671 weeks
407.04714 -.24246 (407*2π)/5671 weeks
408-.01271 -.21453 (408*2π)/5671 weeks
409-.02765 -.17414 (409*2π)/5671 weeks
410-.02947 -.1148 (410*2π)/5671 weeks
411-.13751 -.10111 (411*2π)/5671 weeks
412-.04285 -.16838 (412*2π)/5671 weeks
413-.03276 -.107 (413*2π)/5671 weeks
414.13115 -.10897 (414*2π)/5671 weeks
415-.0013 .10431 (415*2π)/5671 weeks
416.06079 .02193 (416*2π)/5671 weeks
417.12864 .10227 (417*2π)/5671 weeks
418.04774 .03769 (418*2π)/5671 weeks
419.20129 .05516 (419*2π)/5671 weeks
420.14756 .1446 (420*2π)/5671 weeks
421.12262 -.1446 (421*2π)/5671 weeks
422.23964 -.1279 (422*2π)/5671 weeks
423.31214 -.13563 (423*2π)/5671 weeks
424.2882 -.08186 (424*2π)/5671 weeks
425.01118 -.05862 (425*2π)/5671 weeks
426.0965 -.32073 (426*2π)/5671 weeks
427.26875 -.18163 (427*2π)/5671 weeks
428.15003 -.33974 (428*2π)/5671 weeks
429.08288 -.09717 (429*2π)/5671 weeks
430.051 -.06645 (430*2π)/5671 weeks
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