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Fourier Analysis of PFG (Principal Financial Group Inc)


PFG (Principal Financial Group Inc) appears to have interesting cyclic behaviour every 75 weeks (1.9767*sine), 82 weeks (1.8215*sine), and 75 weeks (1.6945*cosine).

PFG (Principal Financial Group Inc) has an average price of 32.88 (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.

Right click on the graph above to see the menu of operations (download, full screen, etc.)

Fourier Analysis

Using data from 10/23/2001 to 7/17/2017 for PFG (Principal Financial Group Inc), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
032.87726   0 
15.14155 -1.25433 (1*2π)/822822 weeks
2-3.76547 -12.28526 (2*2π)/822411 weeks
33.09731 -2.5909 (3*2π)/822274 weeks
4-1.71462 .52925 (4*2π)/822206 weeks
53.7653 -4.4233 (5*2π)/822164 weeks
6.11474 -1.19807 (6*2π)/822137 weeks
71.01198 -3.69956 (7*2π)/822117 weeks
81.39029 -1.45992 (8*2π)/822103 weeks
9-.6388 -3.21504 (9*2π)/82291 weeks
10.45402 -1.82154 (10*2π)/82282 weeks
11-1.69445 -1.97672 (11*2π)/82275 weeks
12.64901 -1.22189 (12*2π)/82269 weeks
13-1.17448 -1.45463 (13*2π)/82263 weeks
14-.41355 -.8741 (14*2π)/82259 weeks
15-.02614 -.68694 (15*2π)/82255 weeks
16.13451 -.72734 (16*2π)/82251 weeks
17.02927 -.66571 (17*2π)/82248 weeks
18.20552 -1.76189 (18*2π)/82246 weeks
19-.56572 -.61034 (19*2π)/82243 weeks
20.20044 -1.21209 (20*2π)/82241 weeks
21.11938 .00411 (21*2π)/82239 weeks
22-.45559 -.72797 (22*2π)/82237 weeks
23-.041 -1.00768 (23*2π)/82236 weeks
24-.05718 -.51915 (24*2π)/82234 weeks
25-.19224 -.59671 (25*2π)/82233 weeks
26.57282 -.46013 (26*2π)/82232 weeks
27-.15805 -.921 (27*2π)/82230 weeks
28.24075 -.50026 (28*2π)/82229 weeks
29-.00041 -.44792 (29*2π)/82228 weeks
30.00907 -.61517 (30*2π)/82227 weeks
31-.02846 -.52251 (31*2π)/82227 weeks
32-.39498 -.2702 (32*2π)/82226 weeks
33-.36707 -.61803 (33*2π)/82225 weeks
34-.13864 -.29138 (34*2π)/82224 weeks
35-.07335 -.14257 (35*2π)/82223 weeks
36-.07007 -.49459 (36*2π)/82223 weeks
37.10667 -.27756 (37*2π)/82222 weeks
38-.13587 -.34086 (38*2π)/82222 weeks
39.50393 -.64082 (39*2π)/82221 weeks
40-.38298 -.30206 (40*2π)/82221 weeks
41.13251 -.74116 (41*2π)/82220 weeks
42-.15747 -.0945 (42*2π)/82220 weeks
43-.26313 -.6025 (43*2π)/82219 weeks
44.12086 -.01009 (44*2π)/82219 weeks
45-.56733 -.42309 (45*2π)/82218 weeks
46.41228 -.06524 (46*2π)/82218 weeks
47-.21902 -.18135 (47*2π)/82217 weeks
48.55513 -.61077 (48*2π)/82217 weeks
49-.32854 -.21573 (49*2π)/82217 weeks
50.08171 -.85682 (50*2π)/82216 weeks
51-.20864 .01043 (51*2π)/82216 weeks
52-.14147 -.65248 (52*2π)/82216 weeks
53.00163 -.27616 (53*2π)/82216 weeks
54-.12126 -.37474 (54*2π)/82215 weeks
55.12061 -.17533 (55*2π)/82215 weeks
56-.07934 -.33744 (56*2π)/82215 weeks
57-.02781 -.48456 (57*2π)/82214 weeks
58-.1451 -.28161 (58*2π)/82214 weeks
59-.15129 -.25422 (59*2π)/82214 weeks
60-.00803 -.19431 (60*2π)/82214 weeks
61-.23475 -.35325 (61*2π)/82213 weeks
62-.09194 -.11661 (62*2π)/82213 weeks
63-.17814 -.15598 (63*2π)/82213 weeks
64-.13507 -.13915 (64*2π)/82213 weeks
65.06239 -.14741 (65*2π)/82213 weeks
66.08582 -.40643 (66*2π)/82212 weeks
67-.06606 -.1366 (67*2π)/82212 weeks
68-.21698 -.44755 (68*2π)/82212 weeks
69.03169 -.18112 (69*2π)/82212 weeks
70-.27842 -.05196 (70*2π)/82212 weeks
71.24981 -.25068 (71*2π)/82212 weeks
72-.0003 -.28351 (72*2π)/82211 weeks
73-.12968 -.31019 (73*2π)/82211 weeks
74-.05637 -.27746 (74*2π)/82211 weeks
75-.07079 -.12439 (75*2π)/82211 weeks
76-.02429 -.23916 (76*2π)/82211 weeks
77.0419 -.08112 (77*2π)/82211 weeks
78-.02016 -.05611 (78*2π)/82211 weeks
79-.01619 -.14169 (79*2π)/82210 weeks
80.05407 -.24271 (80*2π)/82210 weeks
81.00561 -.17303 (81*2π)/82210 weeks
82-.11713 -.31072 (82*2π)/82210 weeks
83.04746 -.11637 (83*2π)/82210 weeks
84-.20202 -.35979 (84*2π)/82210 weeks
85-.22156 -.14328 (85*2π)/82210 weeks
86-.17158 -.16553 (86*2π)/82210 weeks
87-.04739 -.16773 (87*2π)/8229 weeks
88-.08095 -.21432 (88*2π)/8229 weeks
89-.01094 -.27494 (89*2π)/8229 weeks
90-.08997 -.14052 (90*2π)/8229 weeks
91-.07088 -.1808 (91*2π)/8229 weeks
92-.09935 -.14598 (92*2π)/8229 weeks
93-.01024 -.16091 (93*2π)/8229 weeks
94-.00421 -.20335 (94*2π)/8229 weeks
95-.14042 -.14935 (95*2π)/8229 weeks
96-.09458 -.10124 (96*2π)/8229 weeks
97-.00849 -.15928 (97*2π)/8228 weeks
98.03007 -.09739 (98*2π)/8228 weeks
99-.06198 -.23817 (99*2π)/8228 weeks
100-.20729 -.20386 (100*2π)/8228 weeks
101-.16941 -.06656 (101*2π)/8228 weeks
102-.08652 -.12852 (102*2π)/8228 weeks
103.03673 -.11374 (103*2π)/8228 weeks
104-.10175 -.20473 (104*2π)/8228 weeks
105.01186 -.18056 (105*2π)/8228 weeks
106-.16629 -.09856 (106*2π)/8228 weeks
107-.03648 -.27226 (107*2π)/8228 weeks
108-.14328 -.00992 (108*2π)/8228 weeks
109-.12397 -.14033 (109*2π)/8228 weeks
110.14253 .03786 (110*2π)/8227 weeks
111-.111 -.14659 (111*2π)/8227 weeks
112.12587 -.11904 (112*2π)/8227 weeks
113-.16498 -.17994 (113*2π)/8227 weeks
114.0167 -.16496 (114*2π)/8227 weeks
115.02519 -.05597 (115*2π)/8227 weeks
116-.05955 -.28076 (116*2π)/8227 weeks
117-.04604 -.01212 (117*2π)/8227 weeks
118-.12668 -.2455 (118*2π)/8227 weeks
119.03699 .00571 (119*2π)/8227 weeks
120-.09144 -.12418 (120*2π)/8227 weeks
121.0835 -.07303 (121*2π)/8227 weeks
122-.09947 -.07688 (122*2π)/8227 weeks
123.04639 -.16426 (123*2π)/8227 weeks
124-.13598 -.18786 (124*2π)/8227 weeks
125-.00824 -.17673 (125*2π)/8227 weeks
126-.01185 -.01723 (126*2π)/8227 weeks
127-.06311 -.33165 (127*2π)/8226 weeks
128.08289 .00178 (128*2π)/8226 weeks
129-.12406 -.23366 (129*2π)/8226 weeks
130.10474 -.16092 (130*2π)/8226 weeks
131-.26676 -.05977 (131*2π)/8226 weeks
132-.03841 -.26636 (132*2π)/8226 weeks
133-.07268 .06752 (133*2π)/8226 weeks
134-.03449 -.19407 (134*2π)/8226 weeks
135.09539 .00581 (135*2π)/8226 weeks
136-.11767 -.09674 (136*2π)/8226 weeks
137.05475 -.10763 (137*2π)/8226 weeks
138-.06604 -.12908 (138*2π)/8226 weeks
139-.03774 -.12427 (139*2π)/8226 weeks
140-.01947 -.16067 (140*2π)/8226 weeks
141-.01798 -.09027 (141*2π)/8226 weeks
142-.01901 -.12946 (142*2π)/8226 weeks
143-.09157 -.25301 (143*2π)/8226 weeks
144-.06391 -.06453 (144*2π)/8226 weeks
145-.18015 -.0746 (145*2π)/8226 weeks
146.05459 -.1149 (146*2π)/8226 weeks
147-.15901 -.03042 (147*2π)/8226 weeks
148-.04499 -.19107 (148*2π)/8226 weeks
149-.0922 -.04481 (149*2π)/8226 weeks
150-.03031 -.11077 (150*2π)/8225 weeks
151-.0472 -.14692 (151*2π)/8225 weeks
152-.08426 -.17874 (152*2π)/8225 weeks
153-.12006 -.11562 (153*2π)/8225 weeks
154-.10796 -.19812 (154*2π)/8225 weeks
155.00238 -.04603 (155*2π)/8225 weeks
156-.18247 -.20312 (156*2π)/8225 weeks
157-.02685 -.16836 (157*2π)/8225 weeks
158-.17214 .03768 (158*2π)/8225 weeks
159-.08289 -.15294 (159*2π)/8225 weeks
160.04043 -.0634 (160*2π)/8225 weeks
161-.09411 -.1519 (161*2π)/8225 weeks
162.05351 -.12509 (162*2π)/8225 weeks
163-.18496 -.15153 (163*2π)/8225 weeks
164-.0657 -.14427 (164*2π)/8225 weeks
165-.16464 -.03693 (165*2π)/8225 weeks
166-.07377 -.07923 (166*2π)/8225 weeks
167-.14002 -.0375 (167*2π)/8225 weeks
168-.08862 -.08068 (168*2π)/8225 weeks
169-.01912 -.00742 (169*2π)/8225 weeks
170-.17799 -.0919 (170*2π)/8225 weeks
171.05391 -.05131 (171*2π)/8225 weeks
172-.08174 -.09709 (172*2π)/8225 weeks
173-.075 -.12316 (173*2π)/8225 weeks
174-.07535 -.09613 (174*2π)/8225 weeks
175-.08349 -.1048 (175*2π)/8225 weeks
176-.05305 .0136 (176*2π)/8225 weeks
177-.08198 -.0963 (177*2π)/8225 weeks
178-.00092 -.00459 (178*2π)/8225 weeks
179-.0568 -.08581 (179*2π)/8225 weeks
180-.05461 -.02921 (180*2π)/8225 weeks
181-.10229 -.16862 (181*2π)/8225 weeks
182-.05899 -.02917 (182*2π)/8225 weeks
183-.15436 -.07894 (183*2π)/8224 weeks
184-.0411 -.04707 (184*2π)/8224 weeks
185-.18904 -.01111 (185*2π)/8224 weeks
186-.08011 -.04875 (186*2π)/8224 weeks
187-.06933 -.03353 (187*2π)/8224 weeks
188-.0656 -.03325 (188*2π)/8224 weeks
189-.01995 -.06917 (189*2π)/8224 weeks
190-.06192 -.09593 (190*2π)/8224 weeks
191-.06399 -.11063 (191*2π)/8224 weeks
192-.05438 -.09572 (192*2π)/8224 weeks
193-.08069 -.01611 (193*2π)/8224 weeks
194-.04091 -.03104 (194*2π)/8224 weeks
195-.05229 -.06679 (195*2π)/8224 weeks
196-.09841 -.04114 (196*2π)/8224 weeks
197-.04608 -.00927 (197*2π)/8224 weeks
198-.11618 -.066 (198*2π)/8224 weeks
199.04969 .00684 (199*2π)/8224 weeks
200-.10998 -.04157 (200*2π)/8224 weeks
201.03414 -.13977 (201*2π)/8224 weeks
202-.06445 -.05059 (202*2π)/8224 weeks
203-.06627 -.1769 (203*2π)/8224 weeks
204-.04229 .01104 (204*2π)/8224 weeks
205-.11935 -.12324 (205*2π)/8224 weeks
206-.02376 -.01045 (206*2π)/8224 weeks
207-.10745 -.0417 (207*2π)/8224 weeks
208-.04297 -.02522 (208*2π)/8224 weeks
209.02192 -.03704 (209*2π)/8224 weeks
210-.03154 -.08732 (210*2π)/8224 weeks
211-.06562 -.13916 (211*2π)/8224 weeks
212-.01989 -.0526 (212*2π)/8224 weeks
213-.0408 -.10415 (213*2π)/8224 weeks
214-.14133 -.13295 (214*2π)/8224 weeks
215-.06239 -.09376 (215*2π)/8224 weeks
216-.15554 -.01268 (216*2π)/8224 weeks
217-.0569 -.04172 (217*2π)/8224 weeks
218-.08459 -.03331 (218*2π)/8224 weeks
219-.01544 -.09954 (219*2π)/8224 weeks
220-.07771 -.02811 (220*2π)/8224 weeks
221-.04781 -.12488 (221*2π)/8224 weeks
222-.13158 -.00637 (222*2π)/8224 weeks
223-.0665 -.07925 (223*2π)/8224 weeks
224-.03735 .02554 (224*2π)/8224 weeks
225-.09954 -.07656 (225*2π)/8224 weeks
226.03672 .04267 (226*2π)/8224 weeks
227-.11397 -.04552 (227*2π)/8224 weeks
228.02213 -.04997 (228*2π)/8224 weeks
229-.09694 -.053 (229*2π)/8224 weeks
230-.06447 -.07582 (230*2π)/8224 weeks
231-.13197 -.02865 (231*2π)/8224 weeks
232-.03798 -.11804 (232*2π)/8224 weeks
233-.08601 -.08238 (233*2π)/8224 weeks
234-.06946 -.05299 (234*2π)/8224 weeks
235-.11132 -.02914 (235*2π)/8223 weeks
236-.05184 -.02967 (236*2π)/8223 weeks
237-.01327 -.01521 (237*2π)/8223 weeks
238-.11467 -.09979 (238*2π)/8223 weeks
239-.02082 -.03881 (239*2π)/8223 weeks
240-.07504 -.00908 (240*2π)/8223 weeks
241-.01266 -.05549 (241*2π)/8223 weeks
242-.07371 .03137 (242*2π)/8223 weeks
243-.09119 -.08451 (243*2π)/8223 weeks
244-.034 .00204 (244*2π)/8223 weeks
245-.07802 -.04639 (245*2π)/8223 weeks
246-.00187 -.08384 (246*2π)/8223 weeks
247-.06058 .02864 (247*2π)/8223 weeks
248-.11061 -.04842 (248*2π)/8223 weeks
249-.01688 .01282 (249*2π)/8223 weeks
250-.10974 -.07275 (250*2π)/8223 weeks
251.00265 -.05929 (251*2π)/8223 weeks
252-.06121 -.03908 (252*2π)/8223 weeks
253-.03572 -.09225 (253*2π)/8223 weeks
254-.10792 -.02775 (254*2π)/8223 weeks
255-.00069 -.04988 (255*2π)/8223 weeks
256-.07509 -.06615 (256*2π)/8223 weeks
257-.04245 -.08524 (257*2π)/8223 weeks
258-.10958 -.03634 (258*2π)/8223 weeks
259-.01561 -.07711 (259*2π)/8223 weeks
260-.05071 -.00613 (260*2π)/8223 weeks
261-.08601 -.1122 (261*2π)/8223 weeks
262-.01242 .02618 (262*2π)/8223 weeks
263-.10959 -.056 (263*2π)/8223 weeks
264-.02518 -.01146 (264*2π)/8223 weeks
265-.07211 -.00018 (265*2π)/8223 weeks
266-.04398 -.03582 (266*2π)/8223 weeks
267-.07205 -.00142 (267*2π)/8223 weeks
268-.05541 -.10894 (268*2π)/8223 weeks
269-.01059 -.00626 (269*2π)/8223 weeks
270-.08896 .00652 (270*2π)/8223 weeks
271-.0529 -.02695 (271*2π)/8223 weeks
272-.07035 -.0189 (272*2π)/8223 weeks
273-.01013 -.06645 (273*2π)/8223 weeks
274-.07082 -.00708 (274*2π)/8223 weeks
275-.0515 -.06383 (275*2π)/8223 weeks
276-.0496 -.01306 (276*2π)/8223 weeks
277-.08712 -.11258 (277*2π)/8223 weeks
278-.0597 -.0242 (278*2π)/8223 weeks
279-.10171 -.00125 (279*2π)/8223 weeks
280-.03874 -.06091 (280*2π)/8223 weeks
281-.11556 -.02939 (281*2π)/8223 weeks
282-.02871 -.04092 (282*2π)/8223 weeks
283-.11806 -.0392 (283*2π)/8223 weeks
284-.02652 -.0122 (284*2π)/8223 weeks
285-.08366 -.0247 (285*2π)/8223 weeks
286-.09356 -.05434 (286*2π)/8223 weeks
287-.07213 .02518 (287*2π)/8223 weeks
288-.03618 -.0573 (288*2π)/8223 weeks
289-.02434 -.00647 (289*2π)/8223 weeks
290-.06746 .02676 (290*2π)/8223 weeks
291-.05502 -.06308 (291*2π)/8223 weeks
292-.10057 .03158 (292*2π)/8223 weeks
293-.02968 -.04589 (293*2π)/8223 weeks
294-.10384 -.01269 (294*2π)/8223 weeks
295-.07625 -.04703 (295*2π)/8223 weeks
296-.06287 -.01877 (296*2π)/8223 weeks
297-.01063 -.02945 (297*2π)/8223 weeks
298-.09362 -.02828 (298*2π)/8223 weeks
299.0167 -.1062 (299*2π)/8223 weeks
300-.11892 .00895 (300*2π)/8223 weeks
301-.05603 -.10698 (301*2π)/8223 weeks
302-.02974 -.06873 (302*2π)/8223 weeks
303-.13599 -.02187 (303*2π)/8223 weeks
304-.01568 -.05887 (304*2π)/8223 weeks
305-.12324 -.04506 (305*2π)/8223 weeks
306-.09022 -.02635 (306*2π)/8223 weeks
307-.05816 -.02252 (307*2π)/8223 weeks
308-.03974 -.00433 (308*2π)/8223 weeks
309-.02269 -.04911 (309*2π)/8223 weeks
310-.0799 .01865 (310*2π)/8223 weeks
311-.05476 -.0665 (311*2π)/8223 weeks
312-.06154 -.00624 (312*2π)/8223 weeks
313-.04814 -.06195 (313*2π)/8223 weeks
314-.08008 -.01909 (314*2π)/8223 weeks
315-.05212 -.07042 (315*2π)/8223 weeks
316-.05505 .00134 (316*2π)/8223 weeks
317-.09126 -.04779 (317*2π)/8223 weeks
318-.08508 .01888 (318*2π)/8223 weeks
319-.12001 -.02799 (319*2π)/8223 weeks
320.04438 -.02838 (320*2π)/8223 weeks
321-.12261 -.04125 (321*2π)/8223 weeks
322-.00424 -.09242 (322*2π)/8223 weeks
323-.06414 .01843 (323*2π)/8223 weeks
324-.05581 -.12178 (324*2π)/8223 weeks
325-.05331 .03234 (325*2π)/8223 weeks
326-.06029 -.06342 (326*2π)/8223 weeks
327-.02736 .02396 (327*2π)/8223 weeks
328-.11548 .01222 (328*2π)/8223 weeks
329-.10194 -.02866 (329*2π)/8222 weeks
330-.05918 .02544 (330*2π)/8222 weeks
331-.14038 -.0347 (331*2π)/8222 weeks
332-.03818 .04265 (332*2π)/8222 weeks
333-.05381 -.00826 (333*2π)/8222 weeks
334-.07951 -.00129 (334*2π)/8222 weeks
335-.04449 -.01217 (335*2π)/8222 weeks
336-.13096 -.0218 (336*2π)/8222 weeks
337-.0844 .02234 (337*2π)/8222 weeks
338-.02731 -.00063 (338*2π)/8222 weeks
339-.07354 -.03903 (339*2π)/8222 weeks
340-.06588 -.03508 (340*2π)/8222 weeks
341-.04977 -.05653 (341*2π)/8222 weeks
342-.14289 -.00478 (342*2π)/8222 weeks
343-.10901 -.027 (343*2π)/8222 weeks
344-.10568 .02037 (344*2π)/8222 weeks
345-.08231 .02818 (345*2π)/8222 weeks
346-.04958 -.00531 (346*2π)/8222 weeks
347-.01276 -.02089 (347*2π)/8222 weeks
348-.08102 -.02313 (348*2π)/8222 weeks
349-.06192 -.03711 (349*2π)/8222 weeks
350-.07345 .01084 (350*2π)/8222 weeks
351-.0567 -.01312 (351*2π)/8222 weeks
352-.02641 -.01339 (352*2π)/8222 weeks
353-.05776 .00971 (353*2π)/8222 weeks
354-.06038 -.0425 (354*2π)/8222 weeks
355-.07378 .04585 (355*2π)/8222 weeks
356-.04042 .00237 (356*2π)/8222 weeks
357-.02735 -.04393 (357*2π)/8222 weeks
358-.10038 -.0311 (358*2π)/8222 weeks
359-.0539 .00023 (359*2π)/8222 weeks
360-.06934 .01728 (360*2π)/8222 weeks
361-.07206 -.03853 (361*2π)/8222 weeks
362-.06584 .03059 (362*2π)/8222 weeks
363-.06608 -.02417 (363*2π)/8222 weeks
364-.11074 -.01076 (364*2π)/8222 weeks
365-.05912 -.01943 (365*2π)/8222 weeks
366-.06763 .0237 (366*2π)/8222 weeks
367-.06836 -.02852 (367*2π)/8222 weeks
368-.04791 .03146 (368*2π)/8222 weeks
369-.15165 -.02304 (369*2π)/8222 weeks
370.05486 .00655 (370*2π)/8222 weeks
371-.08736 -.001 (371*2π)/8222 weeks
372-.02642 -.06599 (372*2π)/8222 weeks
373-.10124 .07731 (373*2π)/8222 weeks
374-.04293 -.0449 (374*2π)/8222 weeks
375-.00602 .09808 (375*2π)/8222 weeks
376-.03948 -.04635 (376*2π)/8222 weeks
377-.01489 .01736 (377*2π)/8222 weeks
378-.11712 -.00439 (378*2π)/8222 weeks
379-.06876 .02138 (379*2π)/8222 weeks
380-.04557 .00391 (380*2π)/8222 weeks
381-.02413 .00327 (381*2π)/8222 weeks
382.01728 -.02998 (382*2π)/8222 weeks
383-.1033 .02142 (383*2π)/8222 weeks
384-.0319 -.02456 (384*2π)/8222 weeks
385-.0847 .00917 (385*2π)/8222 weeks
386-.07145 -.01802 (386*2π)/8222 weeks
387-.08089 -.02136 (387*2π)/8222 weeks
388-.15508 -.02979 (388*2π)/8222 weeks
389-.03123 .00663 (389*2π)/8222 weeks
390-.14124 .01185 (390*2π)/8222 weeks
391-.06683 -.01463 (391*2π)/8222 weeks
392-.10011 .0454 (392*2π)/8222 weeks
393-.04635 .00537 (393*2π)/8222 weeks
394.0227 -.00593 (394*2π)/8222 weeks
395-.05378 .02406 (395*2π)/8222 weeks
396-.0012 -.08016 (396*2π)/8222 weeks
397-.00584 .00415 (397*2π)/8222 weeks
398-.09857 -.00529 (398*2π)/8222 weeks
399-.01899 -.0102 (399*2π)/8222 weeks
400-.03734 .07501 (400*2π)/8222 weeks
401-.03395 -.03571 (401*2π)/8222 weeks
402-.02509 .05018 (402*2π)/8222 weeks
403-.05219 -.06717 (403*2π)/8222 weeks
404-.04035 .0114 (404*2π)/8222 weeks
405-.10265 -.05941 (405*2π)/8222 weeks
406-.07067 -.02041 (406*2π)/8222 weeks
407-.12966 -.00657 (407*2π)/8222 weeks
408-.03897 .0213 (408*2π)/8222 weeks
409-.09587 .04026 (409*2π)/8222 weeks
410-.10464 -.00551 (410*2π)/8222 weeks
411-.07932   (411*2π)/8222 weeks
412-.10464 .00551 (412*2π)/8222 weeks
413-.09587 -.04026 (413*2π)/8222 weeks
414-.03897 -.0213 (414*2π)/8222 weeks
415-.12966 .00657 (415*2π)/8222 weeks
416-.07067 .02041 (416*2π)/8222 weeks
417-.10265 .05941 (417*2π)/8222 weeks
418-.04035 -.0114 (418*2π)/8222 weeks
419-.05219 .06717 (419*2π)/8222 weeks
420-.02509 -.05018 (420*2π)/8222 weeks
421-.03395 .03571 (421*2π)/8222 weeks
422-.03734 -.07501 (422*2π)/8222 weeks
423-.01899 .0102 (423*2π)/8222 weeks
424-.09857 .00529 (424*2π)/8222 weeks
425-.00584 -.00415 (425*2π)/8222 weeks
426-.0012 .08016 (426*2π)/8222 weeks
427-.05378 -.02406 (427*2π)/8222 weeks
428.0227 .00593 (428*2π)/8222 weeks
429-.04635 -.00537 (429*2π)/8222 weeks
430-.10011 -.0454 (430*2π)/8222 weeks
431-.06683 .01463 (431*2π)/8222 weeks
432-.14124 -.01185 (432*2π)/8222 weeks
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816.11474 1.19807 (816*2π)/8221 weeks
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818-1.71462 -.52925 (818*2π)/8221 weeks
8193.09731 2.5909 (819*2π)/8221 weeks
820-3.76547 12.28526 (820*2π)/8221 weeks



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