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# Fourier Analysis of LPS (Lender Processing Services, Inc)

LPS (Lender Processing Services, Inc) appears to have interesting cyclic behaviour every 30 weeks (1.5029*sine), 38 weeks (1.266*sine), and 21 weeks (.9658*cosine).

LPS (Lender Processing Services, Inc) has an average price of 11.14 (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 6/25/2008 to 3/13/2017 for LPS (Lender Processing Services, Inc), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
011.14127   0
1-9.54382 5.39407 (1*2π)/456456 weeks
25.77791 3.52018 (2*2π)/456228 weeks
3-2.70198 -1.77433 (3*2π)/456152 weeks
4-.92074 2.44159 (4*2π)/456114 weeks
52.49215 -.56414 (5*2π)/45691 weeks
6-1.29687 -.31857 (6*2π)/45676 weeks
7.87727 2.74496 (7*2π)/45665 weeks
8.34204 -1.48636 (8*2π)/45657 weeks
9-.85413 1.41055 (9*2π)/45651 weeks
10.83702 .49387 (10*2π)/45646 weeks
11-.18189 -.73908 (11*2π)/45641 weeks
12.06581 1.26604 (12*2π)/45638 weeks
13.47346 .16087 (13*2π)/45635 weeks
14-.0626 -.26493 (14*2π)/45633 weeks
15-.0813 1.50289 (15*2π)/45630 weeks
16.39519 -.45368 (16*2π)/45629 weeks
17-.68738 .42522 (17*2π)/45627 weeks
18.43135 .66808 (18*2π)/45625 weeks
19-.12933 -.33684 (19*2π)/45624 weeks
20-.46197 .35645 (20*2π)/45623 weeks
21.87366 .55208 (21*2π)/45622 weeks
22-.96583 -.32325 (22*2π)/45621 weeks
23.39411 .53525 (23*2π)/45620 weeks
24.12022 .11387 (24*2π)/45619 weeks
25-.63349 -.0964 (25*2π)/45618 weeks
26.42968 .42585 (26*2π)/45618 weeks
27-.17613 -.10686 (27*2π)/45617 weeks
28-.40492 -.01765 (28*2π)/45616 weeks
29.47501 .2458 (29*2π)/45616 weeks
30-.20911 -.31174 (30*2π)/45615 weeks
31-.1325 .37219 (31*2π)/45615 weeks
32.43476 -.15758 (32*2π)/45614 weeks
33-.20947 -.01754 (33*2π)/45614 weeks
34.06295 .41857 (34*2π)/45613 weeks
35.3265 -.34225 (35*2π)/45613 weeks
36-.25774 .34161 (36*2π)/45613 weeks
37.25571 .23292 (37*2π)/45612 weeks
38-.06967 -.30552 (38*2π)/45612 weeks
39.04109 .43649 (39*2π)/45612 weeks
40.09153 .03029 (40*2π)/45611 weeks
41.03751 -.12213 (41*2π)/45611 weeks
42-.14617 .49863 (42*2π)/45611 weeks
43.20613 -.24735 (43*2π)/45611 weeks
44-.20133 .05138 (44*2π)/45610 weeks
45.16542 .33718 (45*2π)/45610 weeks
46.01557 -.32817 (46*2π)/45610 weeks
47-.05072 .23287 (47*2π)/45610 weeks
48.30481 .21906 (48*2π)/45610 weeks
49-.24714 -.14569 (49*2π)/4569 weeks
50.04073 .24035 (50*2π)/4569 weeks
51.22876 .01689 (51*2π)/4569 weeks
52-.28305 -.04471 (52*2π)/4569 weeks
53.19418 .26579 (53*2π)/4569 weeks
54.01731 -.19928 (54*2π)/4568 weeks
55-.0894 .1423 (55*2π)/4568 weeks
56.21578 .08953 (56*2π)/4568 weeks
57.03084 -.02427 (57*2π)/4568 weeks
58-.17115 .18652 (58*2π)/4568 weeks
59.3147 .04404 (59*2π)/4568 weeks
60-.20706 .00876 (60*2π)/4568 weeks
61-.04222 .24353 (61*2π)/4567 weeks
62.17431 -.21976 (62*2π)/4567 weeks
63-.15539 .16512 (63*2π)/4567 weeks
64.04424 .11406 (64*2π)/4567 weeks
65.0968 -.26992 (65*2π)/4567 weeks
66-.09218 .25458 (66*2π)/4567 weeks
67.21884 -.05277 (67*2π)/4567 weeks
68-.02665 -.04007 (68*2π)/4567 weeks
69-.01912 .2586 (69*2π)/4567 weeks
70.11103 -.12648 (70*2π)/4567 weeks
71-.03934 -.03851 (71*2π)/4566 weeks
72.12874 .28964 (72*2π)/4566 weeks
73.03108 -.19296 (73*2π)/4566 weeks
74-.05671 .14643 (74*2π)/4566 weeks
75.18376 .11468 (75*2π)/4566 weeks
76-.0873 -.14609 (76*2π)/4566 weeks
77.06311 .1661 (77*2π)/4566 weeks
78.1724 .03947 (78*2π)/4566 weeks
79-.12131 -.05073 (79*2π)/4566 weeks
80.11822 .2081 (80*2π)/4566 weeks
81.12369 -.06773 (81*2π)/4566 weeks
82-.16333 .10727 (82*2π)/4566 weeks
83.2364 .12378 (83*2π)/4565 weeks
84-.10312 -.01783 (84*2π)/4565 weeks
85-.06273 .09863 (85*2π)/4565 weeks
86.18691 .00177 (86*2π)/4565 weeks
87-.06718 .04872 (87*2π)/4565 weeks
88-.09028 .08646 (88*2π)/4565 weeks
89.27742 -.06406 (89*2π)/4565 weeks
90-.22468 .12968 (90*2π)/4565 weeks
91.10595 .04018 (91*2π)/4565 weeks
92.08694 -.07026 (92*2π)/4565 weeks
93-.13088 .14491 (93*2π)/4565 weeks
94.15052 .01665 (94*2π)/4565 weeks
95-.0156 -.08614 (95*2π)/4565 weeks
96-.02001 .22984 (96*2π)/4565 weeks
97.08386 -.09618 (97*2π)/4565 weeks
98-.04897 -.00859 (98*2π)/4565 weeks
99.07291 .18542 (99*2π)/4565 weeks
100.00791 -.12597 (100*2π)/4565 weeks
101.00852 .04917 (101*2π)/4565 weeks
102.08839 .19059 (102*2π)/4564 weeks
103-.06731 -.16055 (103*2π)/4564 weeks
104.0148 .12508 (104*2π)/4564 weeks
105.10854 .05053 (105*2π)/4564 weeks
106-.08299 -.13225 (106*2π)/4564 weeks
107.12902 .20753 (107*2π)/4564 weeks
108.04795 -.00323 (108*2π)/4564 weeks
109-.14504 -.02338 (109*2π)/4564 weeks
110.17219 .16661 (110*2π)/4564 weeks
111-.06887 -.13337 (111*2π)/4564 weeks
112-.02289 .1284 (112*2π)/4564 weeks
113.13129 -.00083 (113*2π)/4564 weeks
114-.06903 -.00889 (114*2π)/4564 weeks
115-.02227 .08728 (115*2π)/4564 weeks
116.1425 -.05135 (116*2π)/4564 weeks
117-.10084 .03665 (117*2π)/4564 weeks
118.00861 .08474 (118*2π)/4564 weeks
119.1312 -.18199 (119*2π)/4564 weeks
120-.06389 .17822 (120*2π)/4564 weeks
121.09075 -.02258 (121*2π)/4564 weeks
122.08131 -.07008 (122*2π)/4564 weeks
123-.06812 .21942 (123*2π)/4564 weeks
124.12676 -.11131 (124*2π)/4564 weeks
125-.01966 .0623 (125*2π)/4564 weeks
126-.02715 .15149 (126*2π)/4564 weeks
127.06806 -.14296 (127*2π)/4564 weeks
128-.04334 .08437 (128*2π)/4564 weeks
129.08108 .09473 (129*2π)/4564 weeks
130-.02598 -.09203 (130*2π)/4564 weeks
131-.03834 .10339 (131*2π)/4563 weeks
132.07903 .01275 (132*2π)/4563 weeks
133-.07334 -.13334 (133*2π)/4563 weeks
134.11233 .12887 (134*2π)/4563 weeks
135.05866 -.01564 (135*2π)/4563 weeks
136-.09444 -.04782 (136*2π)/4563 weeks
137.18345 .12522 (137*2π)/4563 weeks
138-.05443 -.044 (138*2π)/4563 weeks
139-.02398 .01651 (139*2π)/4563 weeks
140.15963 .08166 (140*2π)/4563 weeks
141-.0959 -.02774 (141*2π)/4563 weeks
142-.00446 .0583 (142*2π)/4563 weeks
143.12848 -.00115 (143*2π)/4563 weeks
144-.11763 -.01176 (144*2π)/4563 weeks
145.06853 .0592 (145*2π)/4563 weeks
146.10363 -.06223 (146*2π)/4563 weeks
147-.11675 .08293 (147*2π)/4563 weeks
148.12691 .00601 (148*2π)/4563 weeks
149.01161 -.04262 (149*2π)/4563 weeks
150-.07203 .11756 (150*2π)/4563 weeks
151.11765 -.07416 (151*2π)/4563 weeks
152-.03255 -.00228 (152*2π)/4563 weeks
153.00667 .11049 (153*2π)/4563 weeks
154.06286 -.1001 (154*2π)/4563 weeks
155-.04315 .03662 (155*2π)/4563 weeks
156.03603 .06999 (156*2π)/4563 weeks
157.03212 -.16903 (157*2π)/4563 weeks
158.03878 .10306 (158*2π)/4563 weeks
159.0702 .03166 (159*2π)/4563 weeks
160.01644 -.10341 (160*2π)/4563 weeks
161.01529 .17984 (161*2π)/4563 weeks
162.06611 -.08788 (162*2π)/4563 weeks
163-.03684 -.00279 (163*2π)/4563 weeks
164.08185 .11178 (164*2π)/4563 weeks
165.01994 -.09965 (165*2π)/4563 weeks
166-.03016 .06128 (166*2π)/4563 weeks
167.13653 .01846 (167*2π)/4563 weeks
168-.01632 .00602 (168*2π)/4563 weeks
169-.04483 .04821 (169*2π)/4563 weeks
170.14973 .00804 (170*2π)/4563 weeks
171-.10234 -.00755 (171*2π)/4563 weeks
172.04365 .06506 (172*2π)/4563 weeks
173.10729 -.05593 (173*2π)/4563 weeks
174-.11729 .0836 (174*2π)/4563 weeks
175.08102 -.00624 (175*2π)/4563 weeks
176.03445 -.04957 (176*2π)/4563 weeks
177-.08962 .07301 (177*2π)/4563 weeks
178.14469 -.05045 (178*2π)/4563 weeks
179-.03759 -.02637 (179*2π)/4563 weeks
180.01656 .11804 (180*2π)/4563 weeks
181.05184 -.11814 (181*2π)/4563 weeks
182-.00243 .03822 (182*2π)/4563 weeks
183.02972 .05567 (183*2π)/4562 weeks
184.06019 -.09936 (184*2π)/4562 weeks
185-.01765 .05693 (185*2π)/4562 weeks
186.10174 .05548 (186*2π)/4562 weeks
187-.02381 -.11029 (187*2π)/4562 weeks
188.04736 .14494 (188*2π)/4562 weeks
189.04106 -.05515 (189*2π)/4562 weeks
190-.01921 -.02693 (190*2π)/4562 weeks
191.07143 .08577 (191*2π)/4562 weeks
192.05285 -.0311 (192*2π)/4562 weeks
193-.06432 .01874 (193*2π)/4562 weeks
194.10566 .08706 (194*2π)/4562 weeks
195-.05525 -.08708 (195*2π)/4562 weeks
196-.00598 .04322 (196*2π)/4562 weeks
197.12308 -.00011 (197*2π)/4562 weeks
198-.06545 -.05301 (198*2π)/4562 weeks
199.05656 .08132 (199*2π)/4562 weeks
200.09035 -.07437 (200*2π)/4562 weeks
201-.04774 .05585 (201*2π)/4562 weeks
202.07348 .04058 (202*2π)/4562 weeks
203.04627 -.03876 (203*2π)/4562 weeks
204-.07726 .07673 (204*2π)/4562 weeks
205.10627 -.00975 (205*2π)/4562 weeks
206-.01138 -.02961 (206*2π)/4562 weeks
207-.05391 .10669 (207*2π)/4562 weeks
208.10398 -.09433 (208*2π)/4562 weeks
209-.06893 .01043 (209*2π)/4562 weeks
210.06145 .07401 (210*2π)/4562 weeks
211.01058 -.12024 (211*2π)/4562 weeks
212.0186 .05299 (212*2π)/4562 weeks
213.04607 .06088 (213*2π)/4562 weeks
214-.00892 -.10615 (214*2π)/4562 weeks
215-.01116 .096 (215*2π)/4562 weeks
216.07359 -.04148 (216*2π)/4562 weeks
217-.03997 -.05436 (217*2π)/4562 weeks
218.05187 .08827 (218*2π)/4562 weeks
219.03931 -.05081 (219*2π)/4562 weeks
220-.08046 -.0497 (220*2π)/4562 weeks
221.13507 .08197 (221*2π)/4562 weeks
222-.04982 -.13098 (222*2π)/4562 weeks
223.03798 .02345 (223*2π)/4562 weeks
224.14528 .03723 (224*2π)/4562 weeks
225-.07857 -.0726 (225*2π)/4562 weeks
226.08777 .10016 (226*2π)/4562 weeks
227.03318 -.06145 (227*2π)/4562 weeks
228-.0101   (228*2π)/4562 weeks
229.03318 .06145 (229*2π)/4562 weeks
230.08777 -.10016 (230*2π)/4562 weeks
231-.07857 .0726 (231*2π)/4562 weeks
232.14528 -.03723 (232*2π)/4562 weeks
233.03798 -.02345 (233*2π)/4562 weeks
234-.04982 .13098 (234*2π)/4562 weeks
235.13507 -.08197 (235*2π)/4562 weeks
236-.08046 .0497 (236*2π)/4562 weeks
237.03931 .05081 (237*2π)/4562 weeks
238.05187 -.08827 (238*2π)/4562 weeks
239-.03997 .05436 (239*2π)/4562 weeks
240.07359 .04148 (240*2π)/4562 weeks
241-.01116 -.096 (241*2π)/4562 weeks
242-.00892 .10615 (242*2π)/4562 weeks
243.04607 -.06088 (243*2π)/4562 weeks
244.0186 -.05299 (244*2π)/4562 weeks
245.01058 .12024 (245*2π)/4562 weeks
246.06145 -.07401 (246*2π)/4562 weeks
247-.06893 -.01043 (247*2π)/4562 weeks
248.10398 .09433 (248*2π)/4562 weeks
249-.05391 -.10669 (249*2π)/4562 weeks
250-.01138 .02961 (250*2π)/4562 weeks
251.10627 .00975 (251*2π)/4562 weeks
252-.07726 -.07673 (252*2π)/4562 weeks
253.04627 .03876 (253*2π)/4562 weeks
254.07348 -.04058 (254*2π)/4562 weeks
255-.04774 -.05585 (255*2π)/4562 weeks
256.09035 .07437 (256*2π)/4562 weeks
257.05656 -.08132 (257*2π)/4562 weeks
258-.06545 .05301 (258*2π)/4562 weeks
259.12308 .00011 (259*2π)/4562 weeks
260-.00598 -.04322 (260*2π)/4562 weeks
261-.05525 .08708 (261*2π)/4562 weeks
262.10566 -.08706 (262*2π)/4562 weeks
263-.06432 -.01874 (263*2π)/4562 weeks
264.05285 .0311 (264*2π)/4562 weeks
265.07143 -.08577 (265*2π)/4562 weeks
266-.01921 .02693 (266*2π)/4562 weeks
267.04106 .05515 (267*2π)/4562 weeks
268.04736 -.14494 (268*2π)/4562 weeks
269-.02381 .11029 (269*2π)/4562 weeks
270.10174 -.05548 (270*2π)/4562 weeks
271-.01765 -.05693 (271*2π)/4562 weeks
272.06019 .09936 (272*2π)/4562 weeks
273.02972 -.05567 (273*2π)/4562 weeks
274-.00243 -.03822 (274*2π)/4562 weeks
275.05184 .11814 (275*2π)/4562 weeks
276.01656 -.11804 (276*2π)/4562 weeks
277-.03759 .02637 (277*2π)/4562 weeks
278.14469 .05045 (278*2π)/4562 weeks
279-.08962 -.07301 (279*2π)/4562 weeks
280.03445 .04957 (280*2π)/4562 weeks
281.08102 .00624 (281*2π)/4562 weeks
282-.11729 -.0836 (282*2π)/4562 weeks
283.10729 .05593 (283*2π)/4562 weeks
284.04365 -.06506 (284*2π)/4562 weeks
285-.10234 .00755 (285*2π)/4562 weeks
286.14973 -.00804 (286*2π)/4562 weeks
287-.04483 -.04821 (287*2π)/4562 weeks
288-.01632 -.00602 (288*2π)/4562 weeks
289.13653 -.01846 (289*2π)/4562 weeks
290-.03016 -.06128 (290*2π)/4562 weeks
291.01994 .09965 (291*2π)/4562 weeks
292.08185 -.11178 (292*2π)/4562 weeks
293-.03684 .00279 (293*2π)/4562 weeks
294.06611 .08788 (294*2π)/4562 weeks
295.01529 -.17984 (295*2π)/4562 weeks
296.01644 .10341 (296*2π)/4562 weeks
297.0702 -.03166 (297*2π)/4562 weeks
298.03878 -.10306 (298*2π)/4562 weeks
299.03212 .16903 (299*2π)/4562 weeks
300.03603 -.06999 (300*2π)/4562 weeks
301-.04315 -.03662 (301*2π)/4562 weeks
302.06286 .1001 (302*2π)/4562 weeks
303.00667 -.11049 (303*2π)/4562 weeks
304-.03255 .00228 (304*2π)/4562 weeks
305.11765 .07416 (305*2π)/4561 weeks
306-.07203 -.11756 (306*2π)/4561 weeks
307.01161 .04262 (307*2π)/4561 weeks
308.12691 -.00601 (308*2π)/4561 weeks
309-.11675 -.08293 (309*2π)/4561 weeks
310.10363 .06223 (310*2π)/4561 weeks
311.06853 -.0592 (311*2π)/4561 weeks
312-.11763 .01176 (312*2π)/4561 weeks
313.12848 .00115 (313*2π)/4561 weeks
314-.00446 -.0583 (314*2π)/4561 weeks
315-.0959 .02774 (315*2π)/4561 weeks
316.15963 -.08166 (316*2π)/4561 weeks
317-.02398 -.01651 (317*2π)/4561 weeks
318-.05443 .044 (318*2π)/4561 weeks
319.18345 -.12522 (319*2π)/4561 weeks
320-.09444 .04782 (320*2π)/4561 weeks
321.05866 .01564 (321*2π)/4561 weeks
322.11233 -.12887 (322*2π)/4561 weeks
323-.07334 .13334 (323*2π)/4561 weeks
324.07903 -.01275 (324*2π)/4561 weeks
325-.03834 -.10339 (325*2π)/4561 weeks
326-.02598 .09203 (326*2π)/4561 weeks
327.08108 -.09473 (327*2π)/4561 weeks
328-.04334 -.08437 (328*2π)/4561 weeks
329.06806 .14296 (329*2π)/4561 weeks
330-.02715 -.15149 (330*2π)/4561 weeks
331-.01966 -.0623 (331*2π)/4561 weeks
332.12676 .11131 (332*2π)/4561 weeks
333-.06812 -.21942 (333*2π)/4561 weeks
334.08131 .07008 (334*2π)/4561 weeks
335.09075 .02258 (335*2π)/4561 weeks
336-.06389 -.17822 (336*2π)/4561 weeks
337.1312 .18199 (337*2π)/4561 weeks
338.00861 -.08474 (338*2π)/4561 weeks
339-.10084 -.03665 (339*2π)/4561 weeks
340.1425 .05135 (340*2π)/4561 weeks
341-.02227 -.08728 (341*2π)/4561 weeks
342-.06903 .00889 (342*2π)/4561 weeks
343.13129 .00083 (343*2π)/4561 weeks
344-.02289 -.1284 (344*2π)/4561 weeks
345-.06887 .13337 (345*2π)/4561 weeks
346.17219 -.16661 (346*2π)/4561 weeks
347-.14504 .02338 (347*2π)/4561 weeks
348.04795 .00323 (348*2π)/4561 weeks
349.12902 -.20753 (349*2π)/4561 weeks
350-.08299 .13225 (350*2π)/4561 weeks
351.10854 -.05053 (351*2π)/4561 weeks
352.0148 -.12508 (352*2π)/4561 weeks
353-.06731 .16055 (353*2π)/4561 weeks
354.08839 -.19059 (354*2π)/4561 weeks
355.00852 -.04917 (355*2π)/4561 weeks
356.00791 .12597 (356*2π)/4561 weeks
357.07291 -.18542 (357*2π)/4561 weeks
358-.04897 .00859 (358*2π)/4561 weeks
359.08386 .09618 (359*2π)/4561 weeks
360-.02001 -.22984 (360*2π)/4561 weeks
361-.0156 .08614 (361*2π)/4561 weeks
362.15052 -.01665 (362*2π)/4561 weeks
363-.13088 -.14491 (363*2π)/4561 weeks
364.08694 .07026 (364*2π)/4561 weeks
365.10595 -.04018 (365*2π)/4561 weeks
366-.22468 -.12968 (366*2π)/4561 weeks
367.27742 .06406 (367*2π)/4561 weeks
368-.09028 -.08646 (368*2π)/4561 weeks
369-.06718 -.04872 (369*2π)/4561 weeks
370.18691 -.00177 (370*2π)/4561 weeks
371-.06273 -.09863 (371*2π)/4561 weeks
372-.10312 .01783 (372*2π)/4561 weeks
373.2364 -.12378 (373*2π)/4561 weeks
374-.16333 -.10727 (374*2π)/4561 weeks
375.12369 .06773 (375*2π)/4561 weeks
376.11822 -.2081 (376*2π)/4561 weeks
377-.12131 .05073 (377*2π)/4561 weeks
378.1724 -.03947 (378*2π)/4561 weeks
379.06311 -.1661 (379*2π)/4561 weeks
380-.0873 .14609 (380*2π)/4561 weeks
381.18376 -.11468 (381*2π)/4561 weeks
382-.05671 -.14643 (382*2π)/4561 weeks
383.03108 .19296 (383*2π)/4561 weeks
384.12874 -.28964 (384*2π)/4561 weeks
385-.03934 .03851 (385*2π)/4561 weeks
386.11103 .12648 (386*2π)/4561 weeks
387-.01912 -.2586 (387*2π)/4561 weeks
388-.02665 .04007 (388*2π)/4561 weeks
389.21884 .05277 (389*2π)/4561 weeks
390-.09218 -.25458 (390*2π)/4561 weeks
391.0968 .26992 (391*2π)/4561 weeks
392.04424 -.11406 (392*2π)/4561 weeks
393-.15539 -.16512 (393*2π)/4561 weeks
394.17431 .21976 (394*2π)/4561 weeks
395-.04222 -.24353 (395*2π)/4561 weeks
396-.20706 -.00876 (396*2π)/4561 weeks
397.3147 -.04404 (397*2π)/4561 weeks
398-.17115 -.18652 (398*2π)/4561 weeks
399.03084 .02427 (399*2π)/4561 weeks
400.21578 -.08953 (400*2π)/4561 weeks
401-.0894 -.1423 (401*2π)/4561 weeks
402.01731 .19928 (402*2π)/4561 weeks
403.19418 -.26579 (403*2π)/4561 weeks
404-.28305 .04471 (404*2π)/4561 weeks
405.22876 -.01689 (405*2π)/4561 weeks
406.04073 -.24035 (406*2π)/4561 weeks
407-.24714 .14569 (407*2π)/4561 weeks
408.30481 -.21906 (408*2π)/4561 weeks
409-.05072 -.23287 (409*2π)/4561 weeks
410.01557 .32817 (410*2π)/4561 weeks
411.16542 -.33718 (411*2π)/4561 weeks
412-.20133 -.05138 (412*2π)/4561 weeks
413.20613 .24735 (413*2π)/4561 weeks
414-.14617 -.49863 (414*2π)/4561 weeks
415.03751 .12213 (415*2π)/4561 weeks
416.09153 -.03029 (416*2π)/4561 weeks
417.04109 -.43649 (417*2π)/4561 weeks
418-.06967 .30552 (418*2π)/4561 weeks
419.25571 -.23292 (419*2π)/4561 weeks
420-.25774 -.34161 (420*2π)/4561 weeks
421.3265 .34225 (421*2π)/4561 weeks
422.06295 -.41857 (422*2π)/4561 weeks
423-.20947 .01754 (423*2π)/4561 weeks
424.43476 .15758 (424*2π)/4561 weeks
425-.1325 -.37219 (425*2π)/4561 weeks
426-.20911 .31174 (426*2π)/4561 weeks
427.47501 -.2458 (427*2π)/4561 weeks
428-.40492 .01765 (428*2π)/4561 weeks
429-.17613 .10686 (429*2π)/4561 weeks
430.42968 -.42585 (430*2π)/4561 weeks
431-.63349 .0964 (431*2π)/4561 weeks
432.12022 -.11387 (432*2π)/4561 weeks
433.39411 -.53525 (433*2π)/4561 weeks
434-.96583 .32325 (434*2π)/4561 weeks
435.87366 -.55208 (435*2π)/4561 weeks
436-.46197 -.35645 (436*2π)/4561 weeks
437-.12933 .33684 (437*2π)/4561 weeks
438.43135 -.66808 (438*2π)/4561 weeks
439-.68738 -.42522 (439*2π)/4561 weeks
440.39519 .45368 (440*2π)/4561 weeks
441-.0813 -1.50289 (441*2π)/4561 weeks
442-.0626 .26493 (442*2π)/4561 weeks
443.47346 -.16087 (443*2π)/4561 weeks
444.06581 -1.26604 (444*2π)/4561 weeks
445-.18189 .73908 (445*2π)/4561 weeks
446.83702 -.49387 (446*2π)/4561 weeks
447-.85413 -1.41055 (447*2π)/4561 weeks
448.34204 1.48636 (448*2π)/4561 weeks
449.87727 -2.74496 (449*2π)/4561 weeks
450-1.29687 .31857 (450*2π)/4561 weeks
4512.49215 .56414 (451*2π)/4561 weeks
452-.92074 -2.44159 (452*2π)/4561 weeks
453-2.70198 1.77433 (453*2π)/4561 weeks
4545.77791 -3.52018 (454*2π)/4561 weeks