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# Fourier Analysis of SIAF (Sino Agro Food)

SIAF (Sino Agro Food) appears to have interesting cyclic behaviour every 26 weeks (.6155*cosine), 38 weeks (.524*cosine), and 26 weeks (.3697*sine).

SIAF (Sino Agro Food) has an average price of 6.51 (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 3/26/2010 to 4/23/2018 for SIAF (Sino Agro Food), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
06.50678   0
1-.18832 .09622 (1*2π)/423423 weeks
2-.73844 3.89385 (2*2π)/423212 weeks
3.68683 1.34778 (3*2π)/423141 weeks
4-1.49193 .729 (4*2π)/423106 weeks
5-.71358 .88876 (5*2π)/42385 weeks
6-.30975 -.37952 (6*2π)/42371 weeks
7-.24574 -.03814 (7*2π)/42360 weeks
8.2142 -.1492 (8*2π)/42353 weeks
9.32335 -.05592 (9*2π)/42347 weeks
10-.08991 -.08999 (10*2π)/42342 weeks
11.52397 .12092 (11*2π)/42338 weeks
12.37585 -.27266 (12*2π)/42335 weeks
13.18826 .52356 (13*2π)/42333 weeks
14.47584 .2264 (14*2π)/42330 weeks
15.15229 .03061 (15*2π)/42328 weeks
16.61553 .36968 (16*2π)/42326 weeks
17.05365 .38911 (17*2π)/42325 weeks
18.04639 .47902 (18*2π)/42324 weeks
19.26919 .20893 (19*2π)/42322 weeks
20-.06948 .29126 (20*2π)/42321 weeks
21-.03249 .37104 (21*2π)/42320 weeks
22.02487 .22044 (22*2π)/42319 weeks
23.02645 .03184 (23*2π)/42318 weeks
24-.01488 .16248 (24*2π)/42318 weeks
25.22273 .04522 (25*2π)/42317 weeks
26-.0176 .0982 (26*2π)/42316 weeks
27.22844 .27306 (27*2π)/42316 weeks
28-.068 .16504 (28*2π)/42315 weeks
29-.09668 .27764 (29*2π)/42315 weeks
30.08372 .05913 (30*2π)/42314 weeks
31.00375 .07745 (31*2π)/42314 weeks
32.17815 .12513 (32*2π)/42313 weeks
33-.01574 .15677 (33*2π)/42313 weeks
34.08875 .13951 (34*2π)/42312 weeks
35.12479 .12504 (35*2π)/42312 weeks
36.06615 .12162 (36*2π)/42312 weeks
37-.0323 .18749 (37*2π)/42311 weeks
38.03508 .12272 (38*2π)/42311 weeks
39.05372 .10122 (39*2π)/42311 weeks
40-.0108 .13626 (40*2π)/42311 weeks
41.11086 .15794 (41*2π)/42310 weeks
42-.09923 .26034 (42*2π)/42310 weeks
43-.0807 .1293 (43*2π)/42310 weeks
44-.04908 -.02136 (44*2π)/42310 weeks
45-.09098 .093 (45*2π)/4239 weeks
46-.01296 .09272 (46*2π)/4239 weeks
47.01879 -.06936 (47*2π)/4239 weeks
48-.04043 .00725 (48*2π)/4239 weeks
49.09008 .08789 (49*2π)/4239 weeks
50.0366 -.01742 (50*2π)/4238 weeks
51-.00198 .14071 (51*2π)/4238 weeks
52.10912 .04764 (52*2π)/4238 weeks
53.07206 .03769 (53*2π)/4238 weeks
54.02027 .02721 (54*2π)/4238 weeks
55.06892 .10842 (55*2π)/4238 weeks
56.05898 .14226 (56*2π)/4238 weeks
57-.07532 .04343 (57*2π)/4237 weeks
58.02687 .12297 (58*2π)/4237 weeks
59-.05089 -.00092 (59*2π)/4237 weeks
60-.05759 .00062 (60*2π)/4237 weeks
61.05975 .05037 (61*2π)/4237 weeks
62.04428 .03581 (62*2π)/4237 weeks
63.04517 .04787 (63*2π)/4237 weeks
64.09827 .04202 (64*2π)/4237 weeks
65.07766 .08544 (65*2π)/4237 weeks
66-.07881 .0172 (66*2π)/4236 weeks
67-.04424 .09595 (67*2π)/4236 weeks
68.01746 -.0107 (68*2π)/4236 weeks
69.03219 .01557 (69*2π)/4236 weeks
70-.02386 .09895 (70*2π)/4236 weeks
71.05607 -.05139 (71*2π)/4236 weeks
72.05315 .04061 (72*2π)/4236 weeks
73.02 .08637 (73*2π)/4236 weeks
74-.00025 -.00321 (74*2π)/4236 weeks
75-.02555 -.00283 (75*2π)/4236 weeks
76.11154 .0826 (76*2π)/4236 weeks
77.04799 -.03533 (77*2π)/4235 weeks
78.01765 .02818 (78*2π)/4235 weeks
79.06627 .05156 (79*2π)/4235 weeks
80.07059 .08952 (80*2π)/4235 weeks
81-.01164 .08126 (81*2π)/4235 weeks
82.041 .07327 (82*2π)/4235 weeks
83.00841 .00159 (83*2π)/4235 weeks
84-.02609 .06636 (84*2π)/4235 weeks
85.09048 .02799 (85*2π)/4235 weeks
86.03443 .0028 (86*2π)/4235 weeks
87-.05073 -.0035 (87*2π)/4235 weeks
88.08918 -.07002 (88*2π)/4235 weeks
89.04006 .09024 (89*2π)/4235 weeks
90.05605 .04704 (90*2π)/4235 weeks
91.01559 -.01798 (91*2π)/4235 weeks
92.07824 .11623 (92*2π)/4235 weeks
93.06314 .09395 (93*2π)/4235 weeks
94.0044 .02509 (94*2π)/4235 weeks
95-.00287 .00428 (95*2π)/4234 weeks
96.02446 .0579 (96*2π)/4234 weeks
97.04963 .04648 (97*2π)/4234 weeks
98-.08978 .00602 (98*2π)/4234 weeks
99.05193 -.00119 (99*2π)/4234 weeks
100.04951 -.05876 (100*2π)/4234 weeks
101.04651 .09 (101*2π)/4234 weeks
102.11449 .02856 (102*2π)/4234 weeks
103.01657 -.01935 (103*2π)/4234 weeks
104.03832 .0449 (104*2π)/4234 weeks
105.06346 .01841 (105*2π)/4234 weeks
106.00971 .05171 (106*2π)/4234 weeks
107.01096 .00942 (107*2π)/4234 weeks
108.02981 .0255 (108*2π)/4234 weeks
109.04059 .02628 (109*2π)/4234 weeks
110-.00841 .0163 (110*2π)/4234 weeks
111.06978 .08256 (111*2π)/4234 weeks
112.00703 .01317 (112*2π)/4234 weeks
113.04709 .05022 (113*2π)/4234 weeks
114.01525 .06151 (114*2π)/4234 weeks
115.01741 -.01447 (115*2π)/4234 weeks
116.05213 -.0027 (116*2π)/4234 weeks
117.04141 -.00402 (117*2π)/4234 weeks
118.01663 .01868 (118*2π)/4234 weeks
119.00264 .04852 (119*2π)/4234 weeks
120.05176 .03788 (120*2π)/4234 weeks
121.01058 .03993 (121*2π)/4233 weeks
122.01134 .01938 (122*2π)/4233 weeks
123.01728 .01005 (123*2π)/4233 weeks
124.05545 .01298 (124*2π)/4233 weeks
125.06146 .04969 (125*2π)/4233 weeks
126-.03998 .04371 (126*2π)/4233 weeks
127-.00865 -.00404 (127*2π)/4233 weeks
128.07598 .01461 (128*2π)/4233 weeks
129.0295 -.01593 (129*2π)/4233 weeks
130-.02599 .06872 (130*2π)/4233 weeks
131.02654 -.00954 (131*2π)/4233 weeks
132.00141 -.01877 (132*2π)/4233 weeks
133.06837 -.00323 (133*2π)/4233 weeks
134.02253 -.02083 (134*2π)/4233 weeks
135.01472 .01638 (135*2π)/4233 weeks
136.04566 .00472 (136*2π)/4233 weeks
137.04079 .01504 (137*2π)/4233 weeks
138.02178 -.02746 (138*2π)/4233 weeks
139.02841 .00317 (139*2π)/4233 weeks
140.08963 .00128 (140*2π)/4233 weeks
141.01994 .05831 (141*2π)/4233 weeks
142-.01069 .09077 (142*2π)/4233 weeks
143.01806 -.02504 (143*2π)/4233 weeks
144-.00659 .03373 (144*2π)/4233 weeks
145.02337 .00904 (145*2π)/4233 weeks
146.03597 -.0197 (146*2π)/4233 weeks
147.06929 -.00161 (147*2π)/4233 weeks
148.01686 .02044 (148*2π)/4233 weeks
149-.01047 -.00136 (149*2π)/4233 weeks
150.03661 .02252 (150*2π)/4233 weeks
151.01365 -.00646 (151*2π)/4233 weeks
152.02798 -.0483 (152*2π)/4233 weeks
153.04733 .03231 (153*2π)/4233 weeks
154.03424 .01863 (154*2π)/4233 weeks
155-.0108 -.01078 (155*2π)/4233 weeks
156.02306 -.00307 (156*2π)/4233 weeks
157.01548 .00288 (157*2π)/4233 weeks
158.01968 .02773 (158*2π)/4233 weeks
159.03295 -.02367 (159*2π)/4233 weeks
160-.00876 -.05014 (160*2π)/4233 weeks
161.01146 -.00833 (161*2π)/4233 weeks
162.06676 -.02112 (162*2π)/4233 weeks
163.06446 -.01457 (163*2π)/4233 weeks
164.0521 .0446 (164*2π)/4233 weeks
165.03259 .04433 (165*2π)/4233 weeks
166.03862 -.0093 (166*2π)/4233 weeks
167.02191 .01227 (167*2π)/4233 weeks
168.00345 -.0208 (168*2π)/4233 weeks
169.0106 -.01715 (169*2π)/4233 weeks
170.0515 -.00764 (170*2π)/4232 weeks
171.03022 .01478 (171*2π)/4232 weeks
172.03043 -.0031 (172*2π)/4232 weeks
173.03364 -.01771 (173*2π)/4232 weeks
174.03379 -.01329 (174*2π)/4232 weeks
175.0742 -.00758 (175*2π)/4232 weeks
176.04217 .04035 (176*2π)/4232 weeks
177.06406 .00918 (177*2π)/4232 weeks
178.01966 -.01148 (178*2π)/4232 weeks
179.01641 .046 (179*2π)/4232 weeks
180.03694 -.01615 (180*2π)/4232 weeks
181.03518 -.025 (181*2π)/4232 weeks
182.03044 -.01422 (182*2π)/4232 weeks
183.06975 .02781 (183*2π)/4232 weeks
184.07195 -.03513 (184*2π)/4232 weeks
185.03086 .01685 (185*2π)/4232 weeks
186.06085 .02183 (186*2π)/4232 weeks
187.04851 .01997 (187*2π)/4232 weeks
188.01712 .02618 (188*2π)/4232 weeks
189.05321 -.00134 (189*2π)/4232 weeks
190-.00039 .01287 (190*2π)/4232 weeks
191.02717 -.00201 (191*2π)/4232 weeks
192.04295 .00038 (192*2π)/4232 weeks
193.06239 .03182 (193*2π)/4232 weeks
194.05016 .03827 (194*2π)/4232 weeks
195.0213 .02554 (195*2π)/4232 weeks
196.01269 -.00665 (196*2π)/4232 weeks
197.05258 -.01672 (197*2π)/4232 weeks
198.05961 .00996 (198*2π)/4232 weeks
199.02391 .01555 (199*2π)/4232 weeks
200.02563 .04434 (200*2π)/4232 weeks
201.05396 -.01535 (201*2π)/4232 weeks
202.01215 .0322 (202*2π)/4232 weeks
203.02452 .00804 (203*2π)/4232 weeks
204.01628 -.03299 (204*2π)/4232 weeks
205.02798 .03635 (205*2π)/4232 weeks
206.07229 .00899 (206*2π)/4232 weeks
207-.00784 .00599 (207*2π)/4232 weeks
208.03129 .01231 (208*2π)/4232 weeks
209.04709 -.02147 (209*2π)/4232 weeks
210.01166 .03266 (210*2π)/4232 weeks
211.01332 .01853 (211*2π)/4232 weeks
212.01332 -.01853 (212*2π)/4232 weeks
213.01166 -.03266 (213*2π)/4232 weeks
214.04709 .02147 (214*2π)/4232 weeks
215.03129 -.01231 (215*2π)/4232 weeks
216-.00784 -.00599 (216*2π)/4232 weeks
217.07229 -.00899 (217*2π)/4232 weeks
218.02798 -.03635 (218*2π)/4232 weeks
219.01628 .03299 (219*2π)/4232 weeks
220.02452 -.00804 (220*2π)/4232 weeks
221.01215 -.0322 (221*2π)/4232 weeks
222.05396 .01535 (222*2π)/4232 weeks
223.02563 -.04434 (223*2π)/4232 weeks
224.02391 -.01555 (224*2π)/4232 weeks
225.05961 -.00996 (225*2π)/4232 weeks
226.05258 .01672 (226*2π)/4232 weeks
227.01269 .00665 (227*2π)/4232 weeks
228.0213 -.02554 (228*2π)/4232 weeks
229.05016 -.03827 (229*2π)/4232 weeks
230.06239 -.03182 (230*2π)/4232 weeks
231.04295 -.00038 (231*2π)/4232 weeks
232.02717 .00201 (232*2π)/4232 weeks
233-.00039 -.01287 (233*2π)/4232 weeks
234.05321 .00134 (234*2π)/4232 weeks
235.01712 -.02618 (235*2π)/4232 weeks
236.04851 -.01997 (236*2π)/4232 weeks
237.06085 -.02183 (237*2π)/4232 weeks
238.03086 -.01685 (238*2π)/4232 weeks
239.07195 .03513 (239*2π)/4232 weeks
240.06975 -.02781 (240*2π)/4232 weeks
241.03044 .01422 (241*2π)/4232 weeks
242.03518 .025 (242*2π)/4232 weeks
243.03694 .01615 (243*2π)/4232 weeks
244.01641 -.046 (244*2π)/4232 weeks
245.01966 .01148 (245*2π)/4232 weeks
246.06406 -.00918 (246*2π)/4232 weeks
247.04217 -.04035 (247*2π)/4232 weeks
248.0742 .00758 (248*2π)/4232 weeks
249.03379 .01329 (249*2π)/4232 weeks
250.03364 .01771 (250*2π)/4232 weeks
251.03043 .0031 (251*2π)/4232 weeks
252.03022 -.01478 (252*2π)/4232 weeks
253.0515 .00764 (253*2π)/4232 weeks
254.0106 .01715 (254*2π)/4232 weeks
255.00345 .0208 (255*2π)/4232 weeks
256.02191 -.01227 (256*2π)/4232 weeks
257.03862 .0093 (257*2π)/4232 weeks
258.03259 -.04433 (258*2π)/4232 weeks
259.0521 -.0446 (259*2π)/4232 weeks
260.06446 .01457 (260*2π)/4232 weeks
261.06676 .02112 (261*2π)/4232 weeks
262.01146 .00833 (262*2π)/4232 weeks
263-.00876 .05014 (263*2π)/4232 weeks
264.03295 .02367 (264*2π)/4232 weeks
265.01968 -.02773 (265*2π)/4232 weeks
266.01548 -.00288 (266*2π)/4232 weeks
267.02306 .00307 (267*2π)/4232 weeks
268-.0108 .01078 (268*2π)/4232 weeks
269.03424 -.01863 (269*2π)/4232 weeks
270.04733 -.03231 (270*2π)/4232 weeks
271.02798 .0483 (271*2π)/4232 weeks
272.01365 .00646 (272*2π)/4232 weeks
273.03661 -.02252 (273*2π)/4232 weeks
274-.01047 .00136 (274*2π)/4232 weeks
275.01686 -.02044 (275*2π)/4232 weeks
276.06929 .00161 (276*2π)/4232 weeks
277.03597 .0197 (277*2π)/4232 weeks
278.02337 -.00904 (278*2π)/4232 weeks
279-.00659 -.03373 (279*2π)/4232 weeks
280.01806 .02504 (280*2π)/4232 weeks
281-.01069 -.09077 (281*2π)/4232 weeks
282.01994 -.05831 (282*2π)/4232 weeks
283.08963 -.00128 (283*2π)/4231 weeks
284.02841 -.00317 (284*2π)/4231 weeks
285.02178 .02746 (285*2π)/4231 weeks
286.04079 -.01504 (286*2π)/4231 weeks
287.04566 -.00472 (287*2π)/4231 weeks
288.01472 -.01638 (288*2π)/4231 weeks
289.02253 .02083 (289*2π)/4231 weeks
290.06837 .00323 (290*2π)/4231 weeks
291.00141 .01877 (291*2π)/4231 weeks
292.02654 .00954 (292*2π)/4231 weeks
293-.02599 -.06872 (293*2π)/4231 weeks
294.0295 .01593 (294*2π)/4231 weeks
295.07598 -.01461 (295*2π)/4231 weeks
296-.00865 .00404 (296*2π)/4231 weeks
297-.03998 -.04371 (297*2π)/4231 weeks
298.06146 -.04969 (298*2π)/4231 weeks
299.05545 -.01298 (299*2π)/4231 weeks
300.01728 -.01005 (300*2π)/4231 weeks
301.01134 -.01938 (301*2π)/4231 weeks
302.01058 -.03993 (302*2π)/4231 weeks
303.05176 -.03788 (303*2π)/4231 weeks
304.00264 -.04852 (304*2π)/4231 weeks
305.01663 -.01868 (305*2π)/4231 weeks
306.04141 .00402 (306*2π)/4231 weeks
307.05213 .0027 (307*2π)/4231 weeks
308.01741 .01447 (308*2π)/4231 weeks
309.01525 -.06151 (309*2π)/4231 weeks
310.04709 -.05022 (310*2π)/4231 weeks
311.00703 -.01317 (311*2π)/4231 weeks
312.06978 -.08256 (312*2π)/4231 weeks
313-.00841 -.0163 (313*2π)/4231 weeks
314.04059 -.02628 (314*2π)/4231 weeks
315.02981 -.0255 (315*2π)/4231 weeks
316.01096 -.00942 (316*2π)/4231 weeks
317.00971 -.05171 (317*2π)/4231 weeks
318.06346 -.01841 (318*2π)/4231 weeks
319.03832 -.0449 (319*2π)/4231 weeks
320.01657 .01935 (320*2π)/4231 weeks
321.11449 -.02856 (321*2π)/4231 weeks
322.04651 -.09 (322*2π)/4231 weeks
323.04951 .05876 (323*2π)/4231 weeks
324.05193 .00119 (324*2π)/4231 weeks
325-.08978 -.00602 (325*2π)/4231 weeks
326.04963 -.04648 (326*2π)/4231 weeks
327.02446 -.0579 (327*2π)/4231 weeks
328-.00287 -.00428 (328*2π)/4231 weeks
329.0044 -.02509 (329*2π)/4231 weeks
330.06314 -.09395 (330*2π)/4231 weeks
331.07824 -.11623 (331*2π)/4231 weeks
332.01559 .01798 (332*2π)/4231 weeks
333.05605 -.04704 (333*2π)/4231 weeks
334.04006 -.09024 (334*2π)/4231 weeks
335.08918 .07002 (335*2π)/4231 weeks
336-.05073 .0035 (336*2π)/4231 weeks
337.03443 -.0028 (337*2π)/4231 weeks
338.09048 -.02799 (338*2π)/4231 weeks
339-.02609 -.06636 (339*2π)/4231 weeks
340.00841 -.00159 (340*2π)/4231 weeks
341.041 -.07327 (341*2π)/4231 weeks
342-.01164 -.08126 (342*2π)/4231 weeks
343.07059 -.08952 (343*2π)/4231 weeks
344.06627 -.05156 (344*2π)/4231 weeks
345.01765 -.02818 (345*2π)/4231 weeks
346.04799 .03533 (346*2π)/4231 weeks
347.11154 -.0826 (347*2π)/4231 weeks
348-.02555 .00283 (348*2π)/4231 weeks
349-.00025 .00321 (349*2π)/4231 weeks
350.02 -.08637 (350*2π)/4231 weeks
351.05315 -.04061 (351*2π)/4231 weeks
352.05607 .05139 (352*2π)/4231 weeks
353-.02386 -.09895 (353*2π)/4231 weeks
354.03219 -.01557 (354*2π)/4231 weeks
355.01746 .0107 (355*2π)/4231 weeks
356-.04424 -.09595 (356*2π)/4231 weeks
357-.07881 -.0172 (357*2π)/4231 weeks
358.07766 -.08544 (358*2π)/4231 weeks
359.09827 -.04202 (359*2π)/4231 weeks
360.04517 -.04787 (360*2π)/4231 weeks
361.04428 -.03581 (361*2π)/4231 weeks
362.05975 -.05037 (362*2π)/4231 weeks
363-.05759 -.00062 (363*2π)/4231 weeks
364-.05089 .00092 (364*2π)/4231 weeks
365.02687 -.12297 (365*2π)/4231 weeks
366-.07532 -.04343 (366*2π)/4231 weeks
367.05898 -.14226 (367*2π)/4231 weeks
368.06892 -.10842 (368*2π)/4231 weeks
369.02027 -.02721 (369*2π)/4231 weeks
370.07206 -.03769 (370*2π)/4231 weeks
371.10912 -.04764 (371*2π)/4231 weeks
372-.00198 -.14071 (372*2π)/4231 weeks
373.0366 .01742 (373*2π)/4231 weeks
374.09008 -.08789 (374*2π)/4231 weeks
375-.04043 -.00725 (375*2π)/4231 weeks
376.01879 .06936 (376*2π)/4231 weeks
377-.01296 -.09272 (377*2π)/4231 weeks
378-.09098 -.093 (378*2π)/4231 weeks
379-.04908 .02136 (379*2π)/4231 weeks
380-.0807 -.1293 (380*2π)/4231 weeks
381-.09923 -.26034 (381*2π)/4231 weeks
382.11086 -.15794 (382*2π)/4231 weeks
383-.0108 -.13626 (383*2π)/4231 weeks
384.05372 -.10122 (384*2π)/4231 weeks
385.03508 -.12272 (385*2π)/4231 weeks
386-.0323 -.18749 (386*2π)/4231 weeks
387.06615 -.12162 (387*2π)/4231 weeks
388.12479 -.12504 (388*2π)/4231 weeks
389.08875 -.13951 (389*2π)/4231 weeks
390-.01574 -.15677 (390*2π)/4231 weeks
391.17815 -.12513 (391*2π)/4231 weeks
392.00375 -.07745 (392*2π)/4231 weeks
393.08372 -.05913 (393*2π)/4231 weeks
394-.09668 -.27764 (394*2π)/4231 weeks
395-.068 -.16504 (395*2π)/4231 weeks
396.22844 -.27306 (396*2π)/4231 weeks
397-.0176 -.0982 (397*2π)/4231 weeks
398.22273 -.04522 (398*2π)/4231 weeks
399-.01488 -.16248 (399*2π)/4231 weeks
400.02645 -.03184 (400*2π)/4231 weeks
401.02487 -.22044 (401*2π)/4231 weeks
402-.03249 -.37104 (402*2π)/4231 weeks
403-.06948 -.29126 (403*2π)/4231 weeks
404.26919 -.20893 (404*2π)/4231 weeks
405.04639 -.47902 (405*2π)/4231 weeks
406.05365 -.38911 (406*2π)/4231 weeks
407.61553 -.36968 (407*2π)/4231 weeks
408.15229 -.03061 (408*2π)/4231 weeks
409.47584 -.2264 (409*2π)/4231 weeks
410.18826 -.52356 (410*2π)/4231 weeks
411.37585 .27266 (411*2π)/4231 weeks
412.52397 -.12092 (412*2π)/4231 weeks
413-.08991 .08999 (413*2π)/4231 weeks
414.32335 .05592 (414*2π)/4231 weeks
415.2142 .1492 (415*2π)/4231 weeks
416-.24574 .03814 (416*2π)/4231 weeks
417-.30975 .37952 (417*2π)/4231 weeks
418-.71358 -.88876 (418*2π)/4231 weeks
419-1.49193 -.729 (419*2π)/4231 weeks
420.68683 -1.34778 (420*2π)/4231 weeks
421-.73844 -3.89385 (421*2π)/4231 weeks