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# Fourier Analysis of TPI (Tianyin Pharmaceutical Co., Inc)

TPI (Tianyin Pharmaceutical Co., Inc) appears to have interesting cyclic behaviour every 24 weeks (.0562*sine), 15 weeks (.0562*cosine), and 10 weeks (.0368*cosine).

TPI (Tianyin Pharmaceutical Co., Inc) has an average price of 1.26 (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 11/19/2008 to 3/20/2017 for TPI (Tianyin Pharmaceutical Co., Inc), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
01.2551   0
1.40267 1.1666 (1*2π)/436436 weeks
2-.44029 .85972 (2*2π)/436218 weeks
3-.27523 .08721 (3*2π)/436145 weeks
4-.14172 .07028 (4*2π)/436109 weeks
5-.13764 .02452 (5*2π)/43687 weeks
6-.08699 -.12643 (6*2π)/43673 weeks
7.02128 -.05205 (7*2π)/43662 weeks
8.12319 .01821 (8*2π)/43655 weeks
9.00151 .04948 (9*2π)/43648 weeks
10.01284 .04286 (10*2π)/43644 weeks
11-.00507 -.002 (11*2π)/43640 weeks
12.05083 -.00556 (12*2π)/43636 weeks
13.03599 .03651 (13*2π)/43634 weeks
14.04053 .03248 (14*2π)/43631 weeks
15.02275 .05392 (15*2π)/43629 weeks
16-.02765 .04362 (16*2π)/43627 weeks
17.02385 -.01326 (17*2π)/43626 weeks
18.02811 .05617 (18*2π)/43624 weeks
19-.00085 .03761 (19*2π)/43623 weeks
20.01001 -.00635 (20*2π)/43622 weeks
21.00723 .01594 (21*2π)/43621 weeks
22.03015 .04489 (22*2π)/43620 weeks
23.00427 .03547 (23*2π)/43619 weeks
24-.00542 .03147 (24*2π)/43618 weeks
25.00156 .0201 (25*2π)/43617 weeks
26-.01491 .03091 (26*2π)/43617 weeks
27-.01667 .00715 (27*2π)/43616 weeks
28-.00817 -.01749 (28*2π)/43616 weeks
29.01405 -.01566 (29*2π)/43615 weeks
30.05616 .00309 (30*2π)/43615 weeks
31.02511 .04264 (31*2π)/43614 weeks
32.00905 .05334 (32*2π)/43614 weeks
33-.02376 .01746 (33*2π)/43613 weeks
34.01184 .01836 (34*2π)/43613 weeks
35-.02075 .02182 (35*2π)/43612 weeks
36-.02205 -.00052 (36*2π)/43612 weeks
37.01377 -.01282 (37*2π)/43612 weeks
38.00685 .00883 (38*2π)/43611 weeks
39.01264 .00661 (39*2π)/43611 weeks
40.01048 .008 (40*2π)/43611 weeks
41-.00117 .01546 (41*2π)/43611 weeks
42.00217 -.00571 (42*2π)/43610 weeks
43.01874 -.0106 (43*2π)/43610 weeks
44.03683 .01161 (44*2π)/43610 weeks
45.01683 .0349 (45*2π)/43610 weeks
46.00416 .02412 (46*2π)/4369 weeks
47.00832 .01072 (47*2π)/4369 weeks
48.01467 .04382 (48*2π)/4369 weeks
49-.01784 .02947 (49*2π)/4369 weeks
50-.02957 -.00197 (50*2π)/4369 weeks
51-.00921 .0008 (51*2π)/4369 weeks
52.00985 .00129 (52*2π)/4368 weeks
53.0043 -.00763 (53*2π)/4368 weeks
54.00839 .01054 (54*2π)/4368 weeks
55-.00541 .00803 (55*2π)/4368 weeks
56.00622 .00729 (56*2π)/4368 weeks
57.00279 -.00474 (57*2π)/4368 weeks
58.01194 -.0082 (58*2π)/4368 weeks
59.0156 .01448 (59*2π)/4367 weeks
60.0127 .01935 (60*2π)/4367 weeks
61-.00627 .00333 (61*2π)/4367 weeks
62.0007 .00091 (62*2π)/4367 weeks
63.01319 .00879 (63*2π)/4367 weeks
64.00917 .00149 (64*2π)/4367 weeks
65.01353 .00898 (65*2π)/4367 weeks
66.01117 .01333 (66*2π)/4367 weeks
67-.00309 .01661 (67*2π)/4367 weeks
68.00196 .0043 (68*2π)/4366 weeks
69-.00089 -.00467 (69*2π)/4366 weeks
70.01447 .00384 (70*2π)/4366 weeks
71.02112 .01287 (71*2π)/4366 weeks
72.00855 .01125 (72*2π)/4366 weeks
73.00952 .01231 (73*2π)/4366 weeks
74.00841 .02199 (74*2π)/4366 weeks
75.00033 .02572 (75*2π)/4366 weeks
76-.01152 .00948 (76*2π)/4366 weeks
77-.01017 .00532 (77*2π)/4366 weeks
78.0037 .00079 (78*2π)/4366 weeks
79-.00214 .00249 (79*2π)/4366 weeks
80.00691 .00551 (80*2π)/4365 weeks
81.00303 .00157 (81*2π)/4365 weeks
82.01007 .008 (82*2π)/4365 weeks
83.00655 .013 (83*2π)/4365 weeks
84-.00261 .00521 (84*2π)/4365 weeks
85-.00061 .01607 (85*2π)/4365 weeks
86-.00992 .00203 (86*2π)/4365 weeks
87.0009 -.00724 (87*2π)/4365 weeks
88.01637 .00296 (88*2π)/4365 weeks
89.00393 .00674 (89*2π)/4365 weeks
90.00907 .01107 (90*2π)/4365 weeks
91-.00202 .01196 (91*2π)/4365 weeks
92-.00513 .00348 (92*2π)/4365 weeks
93.00387 -.00269 (93*2π)/4365 weeks
94.00371 .00578 (94*2π)/4365 weeks
95.01088 .00478 (95*2π)/4365 weeks
96.01001 .01293 (96*2π)/4365 weeks
97.00035 .01837 (97*2π)/4364 weeks
98-.01382 .01103 (98*2π)/4364 weeks
99-.01376 .00527 (99*2π)/4364 weeks
100-.01083 -.01264 (100*2π)/4364 weeks
101.00482 -.01861 (101*2π)/4364 weeks
102.0178 -.00371 (102*2π)/4364 weeks
103.01273 .00496 (103*2π)/4364 weeks
104.01628 .01073 (104*2π)/4364 weeks
105.00089 .00788 (105*2π)/4364 weeks
106.00354 .00974 (106*2π)/4364 weeks
107.00726 .00898 (107*2π)/4364 weeks
108-.00248 .00886 (108*2π)/4364 weeks
109-.00254 .00504 (109*2π)/4364 weeks
110-.00252 .00363 (110*2π)/4364 weeks
111.00562 .00564 (111*2π)/4364 weeks
112.00306 .00788 (112*2π)/4364 weeks
113-.01341 .0076 (113*2π)/4364 weeks
114-.00632 -.00212 (114*2π)/4364 weeks
115.00093 -.01257 (115*2π)/4364 weeks
116.00205 -.00176 (116*2π)/4364 weeks
117.00629 -.00726 (117*2π)/4364 weeks
118.01173 -.00182 (118*2π)/4364 weeks
119.01291 .00886 (119*2π)/4364 weeks
120-.00469 .0043 (120*2π)/4364 weeks
121.00377 -.00153 (121*2π)/4364 weeks
122.01346 .00079 (122*2π)/4364 weeks
123-.00005 .00385 (123*2π)/4364 weeks
124.00335 .00204 (124*2π)/4364 weeks
125.00776 -.00112 (125*2π)/4363 weeks
126.00327 .00644 (126*2π)/4363 weeks
127.0065 -.00293 (127*2π)/4363 weeks
128.0081 -.00023 (128*2π)/4363 weeks
129.01284 .01123 (129*2π)/4363 weeks
130.00517 .00949 (130*2π)/4363 weeks
131-.00421 .00575 (131*2π)/4363 weeks
132-.0007 -.00116 (132*2π)/4363 weeks
133.00543 .0044 (133*2π)/4363 weeks
134.00117 -.00322 (134*2π)/4363 weeks
135.00477 -.0035 (135*2π)/4363 weeks
136.01229 .00181 (136*2π)/4363 weeks
137.01154 .00195 (137*2π)/4363 weeks
138.01333 .005 (138*2π)/4363 weeks
139.01255 .01102 (139*2π)/4363 weeks
140.00529 .01955 (140*2π)/4363 weeks
141.0038 .01226 (141*2π)/4363 weeks
142-.00892 .0162 (142*2π)/4363 weeks
143-.01369 .01072 (143*2π)/4363 weeks
144-.00909 -.0084 (144*2π)/4363 weeks
145.00335 -.00767 (145*2π)/4363 weeks
146.00515 -.00263 (146*2π)/4363 weeks
147.00394 .00299 (147*2π)/4363 weeks
148.00877 .00152 (148*2π)/4363 weeks
149.00452 .00391 (149*2π)/4363 weeks
150-.00159 .00668 (150*2π)/4363 weeks
151.0017 -.00352 (151*2π)/4363 weeks
152.0116 .00139 (152*2π)/4363 weeks
153.01268 .00945 (153*2π)/4363 weeks
154.00251 .01661 (154*2π)/4363 weeks
155-.00978 .01401 (155*2π)/4363 weeks
156-.01078 .00285 (156*2π)/4363 weeks
157-.01053 -.00387 (157*2π)/4363 weeks
158-.0006 -.00455 (158*2π)/4363 weeks
159.00114 -.00821 (159*2π)/4363 weeks
160.00335 -.00417 (160*2π)/4363 weeks
161.00774 -.00485 (161*2π)/4363 weeks
162.00852 .00068 (162*2π)/4363 weeks
163.00845 .00824 (163*2π)/4363 weeks
164.0008 .0045 (164*2π)/4363 weeks
165-.0039 -.00187 (165*2π)/4363 weeks
166.0074 .00483 (166*2π)/4363 weeks
167  .00406 (167*2π)/4363 weeks
168-.00153 -.00549 (168*2π)/4363 weeks
169.00648 .00082 (169*2π)/4363 weeks
170.0018 .00149 (170*2π)/4363 weeks
171.00699 -.00026 (171*2π)/4363 weeks
172.00392 .0063 (172*2π)/4363 weeks
173-.00558 .00812 (173*2π)/4363 weeks
174-.00576 -.00291 (174*2π)/4363 weeks
175.0021 -.00934 (175*2π)/4362 weeks
176.00677 -.00527 (176*2π)/4362 weeks
177.00219 .00034 (177*2π)/4362 weeks
178.00496 -.00859 (178*2π)/4362 weeks
179.0161 -.00157 (179*2π)/4362 weeks
180.00879 .00499 (180*2π)/4362 weeks
181.00379 .00627 (181*2π)/4362 weeks
182.00602 .0052 (182*2π)/4362 weeks
183.00809 .00017 (183*2π)/4362 weeks
184.00002 .00499 (184*2π)/4362 weeks
185.00692 .00525 (185*2π)/4362 weeks
186.0053 .00709 (186*2π)/4362 weeks
187-.00121 .00849 (187*2π)/4362 weeks
188-.00303 .00369 (188*2π)/4362 weeks
189-.00818 .001 (189*2π)/4362 weeks
190-.00059 -.00076 (190*2π)/4362 weeks
191.0022 -.01001 (191*2π)/4362 weeks
192.0062 -.00397 (192*2π)/4362 weeks
193.0115 .00289 (193*2π)/4362 weeks
194.00405 .00469 (194*2π)/4362 weeks
195.00029 .00553 (195*2π)/4362 weeks
196.00062 .00223 (196*2π)/4362 weeks
197.00158 .00097 (197*2π)/4362 weeks
198-.00121 .00118 (198*2π)/4362 weeks
199.00388 -.00329 (199*2π)/4362 weeks
200.00732 .00029 (200*2π)/4362 weeks
201-.00035 .00835 (201*2π)/4362 weeks
202.00076 .00052 (202*2π)/4362 weeks
203-.00007 .00307 (203*2π)/4362 weeks
204-.00186 .00133 (204*2π)/4362 weeks
205-.00239 -.00129 (205*2π)/4362 weeks
206-.0029 -.00294 (206*2π)/4362 weeks
207-.00284 -.00362 (207*2π)/4362 weeks
208.00166 -.00983 (208*2π)/4362 weeks
209.00597 -.00994 (209*2π)/4362 weeks
210.01573 -.00132 (210*2π)/4362 weeks
211.00642 .0014 (211*2π)/4362 weeks
212.00453 .00651 (212*2π)/4362 weeks
213.00307 .00075 (213*2π)/4362 weeks
214-.00034 -.0019 (214*2π)/4362 weeks
215.00523 -.00043 (215*2π)/4362 weeks
216.00802 -.00056 (216*2π)/4362 weeks
217-.00004 .00746 (217*2π)/4362 weeks
218.00119   (218*2π)/4362 weeks
219-.00004 -.00746 (219*2π)/4362 weeks
220.00802 .00056 (220*2π)/4362 weeks
221.00523 .00043 (221*2π)/4362 weeks
222-.00034 .0019 (222*2π)/4362 weeks
223.00307 -.00075 (223*2π)/4362 weeks
224.00453 -.00651 (224*2π)/4362 weeks
225.00642 -.0014 (225*2π)/4362 weeks
226.01573 .00132 (226*2π)/4362 weeks
227.00597 .00994 (227*2π)/4362 weeks
228.00166 .00983 (228*2π)/4362 weeks
229-.00284 .00362 (229*2π)/4362 weeks
230-.0029 .00294 (230*2π)/4362 weeks
231-.00239 .00129 (231*2π)/4362 weeks
232-.00186 -.00133 (232*2π)/4362 weeks
233-.00007 -.00307 (233*2π)/4362 weeks
234.00076 -.00052 (234*2π)/4362 weeks
235-.00035 -.00835 (235*2π)/4362 weeks
236.00732 -.00029 (236*2π)/4362 weeks
237.00388 .00329 (237*2π)/4362 weeks
238-.00121 -.00118 (238*2π)/4362 weeks
239.00158 -.00097 (239*2π)/4362 weeks
240.00062 -.00223 (240*2π)/4362 weeks
241.00029 -.00553 (241*2π)/4362 weeks
242.00405 -.00469 (242*2π)/4362 weeks
243.0115 -.00289 (243*2π)/4362 weeks
244.0062 .00397 (244*2π)/4362 weeks
245.0022 .01001 (245*2π)/4362 weeks
246-.00059 .00076 (246*2π)/4362 weeks
247-.00818 -.001 (247*2π)/4362 weeks
248-.00303 -.00369 (248*2π)/4362 weeks
249-.00121 -.00849 (249*2π)/4362 weeks
250.0053 -.00709 (250*2π)/4362 weeks
251.00692 -.00525 (251*2π)/4362 weeks
252.00002 -.00499 (252*2π)/4362 weeks
253.00809 -.00017 (253*2π)/4362 weeks
254.00602 -.0052 (254*2π)/4362 weeks
255.00379 -.00627 (255*2π)/4362 weeks
256.00879 -.00499 (256*2π)/4362 weeks
257.0161 .00157 (257*2π)/4362 weeks
258.00496 .00859 (258*2π)/4362 weeks
259.00219 -.00034 (259*2π)/4362 weeks
260.00677 .00527 (260*2π)/4362 weeks
261.0021 .00934 (261*2π)/4362 weeks
262-.00576 .00291 (262*2π)/4362 weeks
263-.00558 -.00812 (263*2π)/4362 weeks
264.00392 -.0063 (264*2π)/4362 weeks
265.00699 .00026 (265*2π)/4362 weeks
266.0018 -.00149 (266*2π)/4362 weeks
267.00648 -.00082 (267*2π)/4362 weeks
268-.00153 .00549 (268*2π)/4362 weeks
269  -.00406 (269*2π)/4362 weeks
270.0074 -.00483 (270*2π)/4362 weeks
271-.0039 .00187 (271*2π)/4362 weeks
272.0008 -.0045 (272*2π)/4362 weeks
273.00845 -.00824 (273*2π)/4362 weeks
274.00852 -.00068 (274*2π)/4362 weeks
275.00774 .00485 (275*2π)/4362 weeks
276.00335 .00417 (276*2π)/4362 weeks
277.00114 .00821 (277*2π)/4362 weeks
278-.0006 .00455 (278*2π)/4362 weeks
279-.01053 .00387 (279*2π)/4362 weeks
280-.01078 -.00285 (280*2π)/4362 weeks
281-.00978 -.01401 (281*2π)/4362 weeks
282.00251 -.01661 (282*2π)/4362 weeks
283.01268 -.00945 (283*2π)/4362 weeks
284.0116 -.00139 (284*2π)/4362 weeks
285.0017 .00352 (285*2π)/4362 weeks
286-.00159 -.00668 (286*2π)/4362 weeks
287.00452 -.00391 (287*2π)/4362 weeks
288.00877 -.00152 (288*2π)/4362 weeks
289.00394 -.00299 (289*2π)/4362 weeks
290.00515 .00263 (290*2π)/4362 weeks
291.00335 .00767 (291*2π)/4361 weeks
292-.00909 .0084 (292*2π)/4361 weeks
293-.01369 -.01072 (293*2π)/4361 weeks
294-.00892 -.0162 (294*2π)/4361 weeks
295.0038 -.01226 (295*2π)/4361 weeks
296.00529 -.01955 (296*2π)/4361 weeks
297.01255 -.01102 (297*2π)/4361 weeks
298.01333 -.005 (298*2π)/4361 weeks
299.01154 -.00195 (299*2π)/4361 weeks
300.01229 -.00181 (300*2π)/4361 weeks
301.00477 .0035 (301*2π)/4361 weeks
302.00117 .00322 (302*2π)/4361 weeks
303.00543 -.0044 (303*2π)/4361 weeks
304-.0007 .00116 (304*2π)/4361 weeks
305-.00421 -.00575 (305*2π)/4361 weeks
306.00517 -.00949 (306*2π)/4361 weeks
307.01284 -.01123 (307*2π)/4361 weeks
308.0081 .00023 (308*2π)/4361 weeks
309.0065 .00293 (309*2π)/4361 weeks
310.00327 -.00644 (310*2π)/4361 weeks
311.00776 .00112 (311*2π)/4361 weeks
312.00335 -.00204 (312*2π)/4361 weeks
313-.00005 -.00385 (313*2π)/4361 weeks
314.01346 -.00079 (314*2π)/4361 weeks
315.00377 .00153 (315*2π)/4361 weeks
316-.00469 -.0043 (316*2π)/4361 weeks
317.01291 -.00886 (317*2π)/4361 weeks
318.01173 .00182 (318*2π)/4361 weeks
319.00629 .00726 (319*2π)/4361 weeks
320.00205 .00176 (320*2π)/4361 weeks
321.00093 .01257 (321*2π)/4361 weeks
322-.00632 .00212 (322*2π)/4361 weeks
323-.01341 -.0076 (323*2π)/4361 weeks
324.00306 -.00788 (324*2π)/4361 weeks
325.00562 -.00564 (325*2π)/4361 weeks
326-.00252 -.00363 (326*2π)/4361 weeks
327-.00254 -.00504 (327*2π)/4361 weeks
328-.00248 -.00886 (328*2π)/4361 weeks
329.00726 -.00898 (329*2π)/4361 weeks
330.00354 -.00974 (330*2π)/4361 weeks
331.00089 -.00788 (331*2π)/4361 weeks
332.01628 -.01073 (332*2π)/4361 weeks
333.01273 -.00496 (333*2π)/4361 weeks
334.0178 .00371 (334*2π)/4361 weeks
335.00482 .01861 (335*2π)/4361 weeks
336-.01083 .01264 (336*2π)/4361 weeks
337-.01376 -.00527 (337*2π)/4361 weeks
338-.01382 -.01103 (338*2π)/4361 weeks
339.00035 -.01837 (339*2π)/4361 weeks
340.01001 -.01293 (340*2π)/4361 weeks
341.01088 -.00478 (341*2π)/4361 weeks
342.00371 -.00578 (342*2π)/4361 weeks
343.00387 .00269 (343*2π)/4361 weeks
344-.00513 -.00348 (344*2π)/4361 weeks
345-.00202 -.01196 (345*2π)/4361 weeks
346.00907 -.01107 (346*2π)/4361 weeks
347.00393 -.00674 (347*2π)/4361 weeks
348.01637 -.00296 (348*2π)/4361 weeks
349.0009 .00724 (349*2π)/4361 weeks
350-.00992 -.00203 (350*2π)/4361 weeks
351-.00061 -.01607 (351*2π)/4361 weeks
352-.00261 -.00521 (352*2π)/4361 weeks
353.00655 -.013 (353*2π)/4361 weeks
354.01007 -.008 (354*2π)/4361 weeks
355.00303 -.00157 (355*2π)/4361 weeks
356.00691 -.00551 (356*2π)/4361 weeks
357-.00214 -.00249 (357*2π)/4361 weeks
358.0037 -.00079 (358*2π)/4361 weeks
359-.01017 -.00532 (359*2π)/4361 weeks
360-.01152 -.00948 (360*2π)/4361 weeks
361.00033 -.02572 (361*2π)/4361 weeks
362.00841 -.02199 (362*2π)/4361 weeks
363.00952 -.01231 (363*2π)/4361 weeks
364.00855 -.01125 (364*2π)/4361 weeks
365.02112 -.01287 (365*2π)/4361 weeks
366.01447 -.00384 (366*2π)/4361 weeks
367-.00089 .00467 (367*2π)/4361 weeks
368.00196 -.0043 (368*2π)/4361 weeks
369-.00309 -.01661 (369*2π)/4361 weeks
370.01117 -.01333 (370*2π)/4361 weeks
371.01353 -.00898 (371*2π)/4361 weeks
372.00917 -.00149 (372*2π)/4361 weeks
373.01319 -.00879 (373*2π)/4361 weeks
374.0007 -.00091 (374*2π)/4361 weeks
375-.00627 -.00333 (375*2π)/4361 weeks
376.0127 -.01935 (376*2π)/4361 weeks
377.0156 -.01448 (377*2π)/4361 weeks
378.01194 .0082 (378*2π)/4361 weeks
379.00279 .00474 (379*2π)/4361 weeks
380.00622 -.00729 (380*2π)/4361 weeks
381-.00541 -.00803 (381*2π)/4361 weeks
382.00839 -.01054 (382*2π)/4361 weeks
383.0043 .00763 (383*2π)/4361 weeks
384.00985 -.00129 (384*2π)/4361 weeks
385-.00921 -.0008 (385*2π)/4361 weeks
386-.02957 .00197 (386*2π)/4361 weeks
387-.01784 -.02947 (387*2π)/4361 weeks
388.01467 -.04382 (388*2π)/4361 weeks
389.00832 -.01072 (389*2π)/4361 weeks
390.00416 -.02412 (390*2π)/4361 weeks
391.01683 -.0349 (391*2π)/4361 weeks
392.03683 -.01161 (392*2π)/4361 weeks
393.01874 .0106 (393*2π)/4361 weeks
394.00217 .00571 (394*2π)/4361 weeks
395-.00117 -.01546 (395*2π)/4361 weeks
396.01048 -.008 (396*2π)/4361 weeks
397.01264 -.00661 (397*2π)/4361 weeks
398.00685 -.00883 (398*2π)/4361 weeks
399.01377 .01282 (399*2π)/4361 weeks
400-.02205 .00052 (400*2π)/4361 weeks
401-.02075 -.02182 (401*2π)/4361 weeks
402.01184 -.01836 (402*2π)/4361 weeks
403-.02376 -.01746 (403*2π)/4361 weeks
404.00905 -.05334 (404*2π)/4361 weeks
405.02511 -.04264 (405*2π)/4361 weeks
406.05616 -.00309 (406*2π)/4361 weeks
407.01405 .01566 (407*2π)/4361 weeks
408-.00817 .01749 (408*2π)/4361 weeks
409-.01667 -.00715 (409*2π)/4361 weeks
410-.01491 -.03091 (410*2π)/4361 weeks
411.00156 -.0201 (411*2π)/4361 weeks
412-.00542 -.03147 (412*2π)/4361 weeks
413.00427 -.03547 (413*2π)/4361 weeks
414.03015 -.04489 (414*2π)/4361 weeks
415.00723 -.01594 (415*2π)/4361 weeks
416.01001 .00635 (416*2π)/4361 weeks
417-.00085 -.03761 (417*2π)/4361 weeks
418.02811 -.05617 (418*2π)/4361 weeks
419.02385 .01326 (419*2π)/4361 weeks
420-.02765 -.04362 (420*2π)/4361 weeks
421.02275 -.05392 (421*2π)/4361 weeks
422.04053 -.03248 (422*2π)/4361 weeks
423.03599 -.03651 (423*2π)/4361 weeks
424.05083 .00556 (424*2π)/4361 weeks
425-.00507 .002 (425*2π)/4361 weeks
426.01284 -.04286 (426*2π)/4361 weeks
427.00151 -.04948 (427*2π)/4361 weeks
428.12319 -.01821 (428*2π)/4361 weeks
429.02128 .05205 (429*2π)/4361 weeks
430-.08699 .12643 (430*2π)/4361 weeks
431-.13764 -.02452 (431*2π)/4361 weeks
432-.14172 -.07028 (432*2π)/4361 weeks
433-.27523 -.08721 (433*2π)/4361 weeks
434-.44029 -.85972 (434*2π)/4361 weeks