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# Fourier Analysis of SSO (ProShares Ultra S&P500)

SSO (ProShares Ultra S&P500) appears to have interesting cyclic behaviour every 63 weeks (3.6053*sine), 52 weeks (2.6086*sine), and 57 weeks (2.18*sine).

SSO (ProShares Ultra S&P500) has an average price of 44.46 (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 6/21/2006 to 6/4/2018 for SSO (ProShares Ultra S&P500), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
044.46181   0
119.06254 -24.9122 (1*2π)/625625 weeks
26.04043 -6.37235 (2*2π)/625313 weeks
34.97577 -4.16204 (3*2π)/625208 weeks
4-1.19601 -7.30044 (4*2π)/625156 weeks
5-1.68374 -6.97779 (5*2π)/625125 weeks
6-.49865 -5.06184 (6*2π)/625104 weeks
7.90615 -3.78188 (7*2π)/62589 weeks
8.20714 -3.08084 (8*2π)/62578 weeks
9-1.60551 -3.76448 (9*2π)/62569 weeks
10-.16318 -3.60526 (10*2π)/62563 weeks
11-.14565 -2.18 (11*2π)/62557 weeks
12.21471 -2.60861 (12*2π)/62552 weeks
13-.44516 -1.61916 (13*2π)/62548 weeks
14-1.31209 -1.9564 (14*2π)/62545 weeks
15-.95015 -1.8447 (15*2π)/62542 weeks
16-.66448 -1.61212 (16*2π)/62539 weeks
17-.20763 -1.19543 (17*2π)/62537 weeks
18-.14393 -.69921 (18*2π)/62535 weeks
19.26543 -1.17325 (19*2π)/62533 weeks
20-.6792 -1.01162 (20*2π)/62531 weeks
21-.32731 -1.32721 (21*2π)/62530 weeks
22-.37892 -.94128 (22*2π)/62528 weeks
23.07865 -.70748 (23*2π)/62527 weeks
24.28642 -1.06419 (24*2π)/62526 weeks
25.25195 -1.20599 (25*2π)/62525 weeks
26-.03942 -.61399 (26*2π)/62524 weeks
27.64583 -.55374 (27*2π)/62523 weeks
28.38975 -.88978 (28*2π)/62522 weeks
29.05987 -.90303 (29*2π)/62522 weeks
30-.80201 -.89936 (30*2π)/62521 weeks
31-.10957 -.7366 (31*2π)/62520 weeks
32.17368 -.64805 (32*2π)/62520 weeks
33.53475 -.86929 (33*2π)/62519 weeks
34.13147 -.99217 (34*2π)/62518 weeks
35-.52407 -.9961 (35*2π)/62518 weeks
36-.32194 -.72872 (36*2π)/62517 weeks
37.37095 -.96665 (37*2π)/62517 weeks
38.62252 -.95017 (38*2π)/62516 weeks
39-.04157 -.67272 (39*2π)/62516 weeks
40-.2552 -.78517 (40*2π)/62516 weeks
41-.31896 -.71142 (41*2π)/62515 weeks
42-.14237 -.8664 (42*2π)/62515 weeks
43-.33268 -.82153 (43*2π)/62515 weeks
44-.14881 -.58603 (44*2π)/62514 weeks
45-.11294 -.51092 (45*2π)/62514 weeks
46-.38906 -.47507 (46*2π)/62514 weeks
47.0543 -.59915 (47*2π)/62513 weeks
48-.12541 -.53866 (48*2π)/62513 weeks
49-.19403 -.61757 (49*2π)/62513 weeks
50-.07937 -.26796 (50*2π)/62513 weeks
51-.19895 -.58176 (51*2π)/62512 weeks
52-.39127 -.55629 (52*2π)/62512 weeks
53-.36549 -.37665 (53*2π)/62512 weeks
54.31319 -.52021 (54*2π)/62512 weeks
55-.00093 -.77329 (55*2π)/62511 weeks
56-.04782 -.46956 (56*2π)/62511 weeks
57.14585 -.4174 (57*2π)/62511 weeks
58.00606 -.49366 (58*2π)/62511 weeks
59-.03076 -.6199 (59*2π)/62511 weeks
60-.37278 -.4903 (60*2π)/62510 weeks
61-.32442 -.39391 (61*2π)/62510 weeks
62-.30968 -.34821 (62*2π)/62510 weeks
63-.21589 -.42571 (63*2π)/62510 weeks
64.11644 -.59168 (64*2π)/62510 weeks
65-.17138 -.50433 (65*2π)/62510 weeks
66-.17538 -.35827 (66*2π)/6259 weeks
67-.18999 -.40485 (67*2π)/6259 weeks
68-.32265 -.47134 (68*2π)/6259 weeks
69-.16662 -.40003 (69*2π)/6259 weeks
70-.20461 -.35735 (70*2π)/6259 weeks
71-.15373 -.55283 (71*2π)/6259 weeks
72-.24806 -.34302 (72*2π)/6259 weeks
73-.0616 -.36027 (73*2π)/6259 weeks
74-.25263 -.3755 (74*2π)/6258 weeks
75-.37235 -.0847 (75*2π)/6258 weeks
76-.01941 -.18793 (76*2π)/6258 weeks
77-.31903 -.32255 (77*2π)/6258 weeks
78-.10445 -.2647 (78*2π)/6258 weeks
79-.20143 -.22705 (79*2π)/6258 weeks
80.00093 -.2534 (80*2π)/6258 weeks
81-.0345 -.15073 (81*2π)/6258 weeks
82-.17415 .00696 (82*2π)/6258 weeks
83-.0306 -.04793 (83*2π)/6258 weeks
84-.11262 -.37188 (84*2π)/6257 weeks
85-.05676 -.24575 (85*2π)/6257 weeks
86-.06865 -.09403 (86*2π)/6257 weeks
87.00645 -.40251 (87*2π)/6257 weeks
88-.07917 -.1745 (88*2π)/6257 weeks
89-.11004 -.33764 (89*2π)/6257 weeks
90.12851 -.31314 (90*2π)/6257 weeks
91.01754 -.22379 (91*2π)/6257 weeks
92.04246 -.19576 (92*2π)/6257 weeks
93-.02334 -.23477 (93*2π)/6257 weeks
94.0951 -.39258 (94*2π)/6257 weeks
95-.03815 -.40495 (95*2π)/6257 weeks
96-.00255 -.42532 (96*2π)/6257 weeks
97-.11908 -.31561 (97*2π)/6256 weeks
98-.25606 -.4247 (98*2π)/6256 weeks
99-.28605 -.37916 (99*2π)/6256 weeks
100-.06534 -.41097 (100*2π)/6256 weeks
101-.10739 -.47709 (101*2π)/6256 weeks
102-.27733 -.36713 (102*2π)/6256 weeks
103-.3553 -.23433 (103*2π)/6256 weeks
104-.25841 -.20939 (104*2π)/6256 weeks
105-.2006 -.20215 (105*2π)/6256 weeks
106-.18705 -.16829 (106*2π)/6256 weeks
107-.25126 -.26106 (107*2π)/6256 weeks
108-.161 -.24093 (108*2π)/6256 weeks
109-.32817 -.25279 (109*2π)/6256 weeks
110-.25194 -.18209 (110*2π)/6256 weeks
111-.15143 -.1925 (111*2π)/6256 weeks
112-.0755 -.1383 (112*2π)/6256 weeks
113-.06066 -.13635 (113*2π)/6256 weeks
114-.23253 -.20704 (114*2π)/6255 weeks
115-.26973 -.06031 (115*2π)/6255 weeks
116-.08231 -.02054 (116*2π)/6255 weeks
117-.04596 -.06655 (117*2π)/6255 weeks
118-.12452 -.04263 (118*2π)/6255 weeks
119-.12554 -.12432 (119*2π)/6255 weeks
120-.2452 -.25867 (120*2π)/6255 weeks
121-.06069 -.14967 (121*2π)/6255 weeks
122.04628 -.24706 (122*2π)/6255 weeks
123-.00498 -.23543 (123*2π)/6255 weeks
124-.19734 -.15531 (124*2π)/6255 weeks
125-.12254 -.10166 (125*2π)/6255 weeks
126.0092 -.17635 (126*2π)/6255 weeks
127-.03646 -.17652 (127*2π)/6255 weeks
128-.13153 -.14938 (128*2π)/6255 weeks
129-.12559 -.09164 (129*2π)/6255 weeks
130-.2197 -.17884 (130*2π)/6255 weeks
131-.05643 -.20308 (131*2π)/6255 weeks
132-.04002 -.26782 (132*2π)/6255 weeks
133-.18518 -.22588 (133*2π)/6255 weeks
134-.1847 -.05788 (134*2π)/6255 weeks
135-.18544 -.03087 (135*2π)/6255 weeks
136-.03958 -.11685 (136*2π)/6255 weeks
137-.09546 -.24487 (137*2π)/6255 weeks
138-.18852 -.12568 (138*2π)/6255 weeks
139-.16894 -.1397 (139*2π)/6254 weeks
140-.20231 -.19815 (140*2π)/6254 weeks
141-.00203 -.15708 (141*2π)/6254 weeks
142-.06568 -.25625 (142*2π)/6254 weeks
143-.21672 -.16428 (143*2π)/6254 weeks
144-.16021 -.05681 (144*2π)/6254 weeks
145-.06174 -.07781 (145*2π)/6254 weeks
146-.12168 -.17304 (146*2π)/6254 weeks
147-.11328 -.1633 (147*2π)/6254 weeks
148-.00664 -.11279 (148*2π)/6254 weeks
149-.12598 -.13292 (149*2π)/6254 weeks
150-.11398 -.04948 (150*2π)/6254 weeks
151.02366 -.00324 (151*2π)/6254 weeks
152-.03489 -.16866 (152*2π)/6254 weeks
153-.18028 -.2585 (153*2π)/6254 weeks
154-.23984 -.11939 (154*2π)/6254 weeks
155-.05551 -.19129 (155*2π)/6254 weeks
156-.0269 -.22268 (156*2π)/6254 weeks
157-.18093 -.23589 (157*2π)/6254 weeks
158-.13596 -.12829 (158*2π)/6254 weeks
159-.11577 -.02851 (159*2π)/6254 weeks
160-.01701 -.10873 (160*2π)/6254 weeks
161-.16265 -.2212 (161*2π)/6254 weeks
162-.11922 -.31713 (162*2π)/6254 weeks
163-.23252 -.22873 (163*2π)/6254 weeks
164-.31154 -.12003 (164*2π)/6254 weeks
165-.1318 -.10397 (165*2π)/6254 weeks
166-.13795 -.18507 (166*2π)/6254 weeks
167-.23394 -.16832 (167*2π)/6254 weeks
168-.23562 -.07708 (168*2π)/6254 weeks
169-.13234 -.14377 (169*2π)/6254 weeks
170-.19128 -.16762 (170*2π)/6254 weeks
171-.20834 -.14521 (171*2π)/6254 weeks
172-.22443 -.02246 (172*2π)/6254 weeks
173-.22031 -.10884 (173*2π)/6254 weeks
174-.1617 -.05603 (174*2π)/6254 weeks
175-.15493 -.08612 (175*2π)/6254 weeks
176-.15522 -.08123 (176*2π)/6254 weeks
177-.19363 -.12345 (177*2π)/6254 weeks
178-.20573 -.0423 (178*2π)/6254 weeks
179-.158 .05303 (179*2π)/6253 weeks
180-.1056 -.0828 (180*2π)/6253 weeks
181-.08006 .03538 (181*2π)/6253 weeks
182-.10615 -.06609 (182*2π)/6253 weeks
183-.07934 -.08734 (183*2π)/6253 weeks
184-.07453 -.05062 (184*2π)/6253 weeks
185-.05856 -.12745 (185*2π)/6253 weeks
186-.14769 -.14642 (186*2π)/6253 weeks
187-.12674 -.01832 (187*2π)/6253 weeks
188-.12252 -.09777 (188*2π)/6253 weeks
189-.13755 -.03963 (189*2π)/6253 weeks
190-.09391 -.16132 (190*2π)/6253 weeks
191-.07492 -.17043 (191*2π)/6253 weeks
192-.08261 -.15889 (192*2π)/6253 weeks
193-.06277 -.14833 (193*2π)/6253 weeks
194-.09732 -.21157 (194*2π)/6253 weeks
195-.12969 -.13758 (195*2π)/6253 weeks
196-.0529 -.11808 (196*2π)/6253 weeks
197-.14617 -.2017 (197*2π)/6253 weeks
198-.20399 -.19615 (198*2π)/6253 weeks
199-.23082 -.2102 (199*2π)/6253 weeks
200-.18179 -.19542 (200*2π)/6253 weeks
201-.1609 -.20513 (201*2π)/6253 weeks
202-.1984 -.20919 (202*2π)/6253 weeks
203-.24357 -.10215 (203*2π)/6253 weeks
204-.27583 -.11386 (204*2π)/6253 weeks
205-.26581 -.08936 (205*2π)/6253 weeks
206-.24161 -.08015 (206*2π)/6253 weeks
207-.18793 -.05028 (207*2π)/6253 weeks
208-.26381 -.05427 (208*2π)/6253 weeks
209-.23121 .02516 (209*2π)/6253 weeks
210-.21134 -.03224 (210*2π)/6253 weeks
211-.19018 -.05977 (211*2π)/6253 weeks
212-.2328 -.09082 (212*2π)/6253 weeks
213-.20752 .02103 (213*2π)/6253 weeks
214-.15055 .02026 (214*2π)/6253 weeks
215-.10013 -.0235 (215*2π)/6253 weeks
216-.17129 .0714 (216*2π)/6253 weeks
217-.13189 .11239 (217*2π)/6253 weeks
218-.13329 .08202 (218*2π)/6253 weeks
219-.13551 -.01748 (219*2π)/6253 weeks
220-.13389 .01301 (220*2π)/6253 weeks
221-.08456 -.03713 (221*2π)/6253 weeks
222.09579 -.00716 (222*2π)/6253 weeks
223-.07582 -.03782 (223*2π)/6253 weeks
224-.05842 .00859 (224*2π)/6253 weeks
225-.10424 -.02707 (225*2π)/6253 weeks
226-.09666 -.02502 (226*2π)/6253 weeks
227-.05929 -.03239 (227*2π)/6253 weeks
228-.09385 -.18575 (228*2π)/6253 weeks
229-.05733 -.11018 (229*2π)/6253 weeks
230-.10905 -.20987 (230*2π)/6253 weeks
231-.04407 -.1167 (231*2π)/6253 weeks
232-.12999 -.06593 (232*2π)/6253 weeks
233-.03266 -.0303 (233*2π)/6253 weeks
234-.07742 -.092 (234*2π)/6253 weeks
235-.22208 -.14116 (235*2π)/6253 weeks
236-.15121 -.09714 (236*2π)/6253 weeks
237-.11415 -.10394 (237*2π)/6253 weeks
238-.13475 -.06606 (238*2π)/6253 weeks
239-.17738 -.04041 (239*2π)/6253 weeks
240-.0722 -.05304 (240*2π)/6253 weeks
241-.08785 -.09857 (241*2π)/6253 weeks
242-.1703 -.08619 (242*2π)/6253 weeks
243-.15538 .05726 (243*2π)/6253 weeks
244-.16232 -.11027 (244*2π)/6253 weeks
245-.20879 -.14362 (245*2π)/6253 weeks
246-.16615 -.10788 (246*2π)/6253 weeks
247-.11284 -.0232 (247*2π)/6253 weeks
248-.13273 -.03621 (248*2π)/6253 weeks
249-.15359 -.05926 (249*2π)/6253 weeks
250-.17837 .00021 (250*2π)/6253 weeks
251-.17637 -.03033 (251*2π)/6252 weeks
252-.11942 -.12849 (252*2π)/6252 weeks
253-.14813 -.05631 (253*2π)/6252 weeks
254-.13574 -.05646 (254*2π)/6252 weeks
255-.08004 -.00951 (255*2π)/6252 weeks
256-.16377 .02625 (256*2π)/6252 weeks
257-.08802 .01644 (257*2π)/6252 weeks
258-.13438 -.04343 (258*2π)/6252 weeks
259-.11401 -.02677 (259*2π)/6252 weeks
260-.21101 .05081 (260*2π)/6252 weeks
261-.14637 .04982 (261*2π)/6252 weeks
262-.08935 -.01887 (262*2π)/6252 weeks
263-.16275 -.11783 (263*2π)/6252 weeks
264-.20228 -.07038 (264*2π)/6252 weeks
265-.17272 -.0139 (265*2π)/6252 weeks
266-.15915 -.02274 (266*2π)/6252 weeks
267-.16078 -.03832 (267*2π)/6252 weeks
268-.12129 -.03027 (268*2π)/6252 weeks
269-.07473 .00351 (269*2π)/6252 weeks
270-.10357 .04317 (270*2π)/6252 weeks
271-.0459 .01191 (271*2π)/6252 weeks
272-.19767 -.08952 (272*2π)/6252 weeks
273-.1552 .00869 (273*2π)/6252 weeks
274-.14142 -.01161 (274*2π)/6252 weeks
275-.05877 .02735 (275*2π)/6252 weeks
276-.11168 -.04456 (276*2π)/6252 weeks
277-.08974 -.01036 (277*2π)/6252 weeks
278-.10587 .01125 (278*2π)/6252 weeks
279-.06865 -.04204 (279*2π)/6252 weeks
280-.14019 -.06405 (280*2π)/6252 weeks
281-.2539 -.01389 (281*2π)/6252 weeks
282-.10663 .01401 (282*2π)/6252 weeks
283-.09595 -.1 (283*2π)/6252 weeks
284-.12548 -.02991 (284*2π)/6252 weeks
285-.101 .05886 (285*2π)/6252 weeks
286-.13265 -.02407 (286*2π)/6252 weeks
287-.19244 -.04317 (287*2π)/6252 weeks
288-.11605 -.01572 (288*2π)/6252 weeks
289-.06298 -.12667 (289*2π)/6252 weeks
290-.12698 -.07521 (290*2π)/6252 weeks
291-.08033 .02978 (291*2π)/6252 weeks
292-.16809 .00286 (292*2π)/6252 weeks
293-.12872 -.06903 (293*2π)/6252 weeks
294-.12049 -.05757 (294*2π)/6252 weeks
295-.11556 -.11419 (295*2π)/6252 weeks
296-.13056 -.05009 (296*2π)/6252 weeks
297-.20856 -.05489 (297*2π)/6252 weeks
298-.24053 -.0085 (298*2π)/6252 weeks
299-.097 -.00105 (299*2π)/6252 weeks
300-.13904 -.09616 (300*2π)/6252 weeks
301-.16444 -.1185 (301*2π)/6252 weeks
302-.18676 -.06774 (302*2π)/6252 weeks
303-.10244 -.0074 (303*2π)/6252 weeks
304-.08753 -.09876 (304*2π)/6252 weeks
305-.12521 -.0432 (305*2π)/6252 weeks
306-.25151 .03035 (306*2π)/6252 weeks
307-.16139 .05036 (307*2π)/6252 weeks
308-.05334 .01527 (308*2π)/6252 weeks
309-.08531 -.09605 (309*2π)/6252 weeks
310-.20728 -.0185 (310*2π)/6252 weeks
311-.20348 .01938 (311*2π)/6252 weeks
312-.22987 .06882 (312*2π)/6252 weeks
313-.22987 -.06882 (313*2π)/6252 weeks
314-.20348 -.01938 (314*2π)/6252 weeks
315-.20728 .0185 (315*2π)/6252 weeks
316-.08531 .09605 (316*2π)/6252 weeks
317-.05334 -.01527 (317*2π)/6252 weeks
318-.16139 -.05036 (318*2π)/6252 weeks
319-.25151 -.03035 (319*2π)/6252 weeks
320-.12521 .0432 (320*2π)/6252 weeks
321-.08753 .09876 (321*2π)/6252 weeks
322-.10244 .0074 (322*2π)/6252 weeks
323-.18676 .06774 (323*2π)/6252 weeks
324-.16444 .1185 (324*2π)/6252 weeks
325-.13904 .09616 (325*2π)/6252 weeks
326-.097 .00105 (326*2π)/6252 weeks
327-.24053 .0085 (327*2π)/6252 weeks
328-.20856 .05489 (328*2π)/6252 weeks
329-.13056 .05009 (329*2π)/6252 weeks
330-.11556 .11419 (330*2π)/6252 weeks
331-.12049 .05757 (331*2π)/6252 weeks
332-.12872 .06903 (332*2π)/6252 weeks
333-.16809 -.00286 (333*2π)/6252 weeks
334-.08033 -.02978 (334*2π)/6252 weeks
335-.12698 .07521 (335*2π)/6252 weeks
336-.06298 .12667 (336*2π)/6252 weeks
337-.11605 .01572 (337*2π)/6252 weeks
338-.19244 .04317 (338*2π)/6252 weeks
339-.13265 .02407 (339*2π)/6252 weeks
340-.101 -.05886 (340*2π)/6252 weeks
341-.12548 .02991 (341*2π)/6252 weeks
342-.09595 .1 (342*2π)/6252 weeks
343-.10663 -.01401 (343*2π)/6252 weeks
344-.2539 .01389 (344*2π)/6252 weeks
345-.14019 .06405 (345*2π)/6252 weeks
346-.06865 .04204 (346*2π)/6252 weeks
347-.10587 -.01125 (347*2π)/6252 weeks
348-.08974 .01036 (348*2π)/6252 weeks
349-.11168 .04456 (349*2π)/6252 weeks
350-.05877 -.02735 (350*2π)/6252 weeks
351-.14142 .01161 (351*2π)/6252 weeks
352-.1552 -.00869 (352*2π)/6252 weeks
353-.19767 .08952 (353*2π)/6252 weeks
354-.0459 -.01191 (354*2π)/6252 weeks
355-.10357 -.04317 (355*2π)/6252 weeks
356-.07473 -.00351 (356*2π)/6252 weeks
357-.12129 .03027 (357*2π)/6252 weeks
358-.16078 .03832 (358*2π)/6252 weeks
359-.15915 .02274 (359*2π)/6252 weeks
360-.17272 .0139 (360*2π)/6252 weeks
361-.20228 .07038 (361*2π)/6252 weeks
362-.16275 .11783 (362*2π)/6252 weeks
363-.08935 .01887 (363*2π)/6252 weeks
364-.14637 -.04982 (364*2π)/6252 weeks
365-.21101 -.05081 (365*2π)/6252 weeks
366-.11401 .02677 (366*2π)/6252 weeks
367-.13438 .04343 (367*2π)/6252 weeks
368-.08802 -.01644 (368*2π)/6252 weeks
369-.16377 -.02625 (369*2π)/6252 weeks
370-.08004 .00951 (370*2π)/6252 weeks
371-.13574 .05646 (371*2π)/6252 weeks
372-.14813 .05631 (372*2π)/6252 weeks
373-.11942 .12849 (373*2π)/6252 weeks
374-.17637 .03033 (374*2π)/6252 weeks
375-.17837 -.00021 (375*2π)/6252 weeks
376-.15359 .05926 (376*2π)/6252 weeks
377-.13273 .03621 (377*2π)/6252 weeks
378-.11284 .0232 (378*2π)/6252 weeks
379-.16615 .10788 (379*2π)/6252 weeks
380-.20879 .14362 (380*2π)/6252 weeks
381-.16232 .11027 (381*2π)/6252 weeks
382-.15538 -.05726 (382*2π)/6252 weeks
383-.1703 .08619 (383*2π)/6252 weeks
384-.08785 .09857 (384*2π)/6252 weeks
385-.0722 .05304 (385*2π)/6252 weeks
386-.17738 .04041 (386*2π)/6252 weeks
387-.13475 .06606 (387*2π)/6252 weeks
388-.11415 .10394 (388*2π)/6252 weeks
389-.15121 .09714 (389*2π)/6252 weeks
390-.22208 .14116 (390*2π)/6252 weeks
391-.07742 .092 (391*2π)/6252 weeks
392-.03266 .0303 (392*2π)/6252 weeks
393-.12999 .06593 (393*2π)/6252 weeks
394-.04407 .1167 (394*2π)/6252 weeks
395-.10905 .20987 (395*2π)/6252 weeks
396-.05733 .11018 (396*2π)/6252 weeks
397-.09385 .18575 (397*2π)/6252 weeks
398-.05929 .03239 (398*2π)/6252 weeks
399-.09666 .02502 (399*2π)/6252 weeks
400-.10424 .02707 (400*2π)/6252 weeks
401-.05842 -.00859 (401*2π)/6252 weeks
402-.07582 .03782 (402*2π)/6252 weeks
403.09579 .00716 (403*2π)/6252 weeks
404-.08456 .03713 (404*2π)/6252 weeks
405-.13389 -.01301 (405*2π)/6252 weeks
406-.13551 .01748 (406*2π)/6252 weeks
407-.13329 -.08202 (407*2π)/6252 weeks
408-.13189 -.11239 (408*2π)/6252 weeks
409-.17129 -.0714 (409*2π)/6252 weeks
410-.10013 .0235 (410*2π)/6252 weeks
411-.15055 -.02026 (411*2π)/6252 weeks
412-.20752 -.02103 (412*2π)/6252 weeks
413-.2328 .09082 (413*2π)/6252 weeks
414-.19018 .05977 (414*2π)/6252 weeks
415-.21134 .03224 (415*2π)/6252 weeks
416-.23121 -.02516 (416*2π)/6252 weeks
417-.26381 .05427 (417*2π)/6251 weeks
418-.18793 .05028 (418*2π)/6251 weeks
419-.24161 .08015 (419*2π)/6251 weeks
420-.26581 .08936 (420*2π)/6251 weeks
421-.27583 .11386 (421*2π)/6251 weeks
422-.24357 .10215 (422*2π)/6251 weeks
423-.1984 .20919 (423*2π)/6251 weeks
424-.1609 .20513 (424*2π)/6251 weeks
425-.18179 .19542 (425*2π)/6251 weeks
426-.23082 .2102 (426*2π)/6251 weeks
427-.20399 .19615 (427*2π)/6251 weeks
428-.14617 .2017 (428*2π)/6251 weeks
429-.0529 .11808 (429*2π)/6251 weeks
430-.12969 .13758 (430*2π)/6251 weeks
431-.09732 .21157 (431*2π)/6251 weeks
432-.06277 .14833 (432*2π)/6251 weeks
433-.08261 .15889 (433*2π)/6251 weeks
434-.07492 .17043 (434*2π)/6251 weeks
435-.09391 .16132 (435*2π)/6251 weeks
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