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Fourier Analysis of ZION (Zions Bancorporation)


ZION (Zions Bancorporation) appears to have interesting cyclic behaviour every 207 weeks (3.4191*sine), 188 weeks (1.9517*cosine), and 159 weeks (1.1475*cosine).

ZION (Zions Bancorporation) has an average price of 23.13 (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 3/17/1980 to 11/11/2019 for ZION (Zions Bancorporation), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
023.12805   0 
1-10.04856 -18.99786 (1*2π)/20702,070 weeks
27.99861 3.49263 (2*2π)/20701,035 weeks
34.45207 -7.57499 (3*2π)/2070690 weeks
4-.84403 -8.34028 (4*2π)/2070518 weeks
5-2.13453 1.43546 (5*2π)/2070414 weeks
65.13731 -4.574 (6*2π)/2070345 weeks
7-1.50601 -4.38096 (7*2π)/2070296 weeks
8-1.55094 -1.5969 (8*2π)/2070259 weeks
91.13784 -1.46833 (9*2π)/2070230 weeks
10-1.12178 -3.41911 (10*2π)/2070207 weeks
11-1.95172 -1.00253 (11*2π)/2070188 weeks
12-.57399 .2363 (12*2π)/2070173 weeks
131.14748 -.6762 (13*2π)/2070159 weeks
14-1.04261 -1.5979 (14*2π)/2070148 weeks
15.05432 .00071 (15*2π)/2070138 weeks
16-.3389 -.90122 (16*2π)/2070129 weeks
17.23312 -.17987 (17*2π)/2070122 weeks
18.17717 -1.14522 (18*2π)/2070115 weeks
19-.05945 -.32228 (19*2π)/2070109 weeks
20-.03954 -1.16603 (20*2π)/2070104 weeks
21-.10886 -.20956 (21*2π)/207099 weeks
22.02858 -.80719 (22*2π)/207094 weeks
23-.19906 -.54492 (23*2π)/207090 weeks
24-.43868 -.17385 (24*2π)/207086 weeks
25.81761 -.14164 (25*2π)/207083 weeks
26-.23111 -.7689 (26*2π)/207080 weeks
27.41341 -.10875 (27*2π)/207077 weeks
28.29581 -.72085 (28*2π)/207074 weeks
29.51872 -.50715 (29*2π)/207071 weeks
30-.28704 -1.42483 (30*2π)/207069 weeks
31-.14078 .08535 (31*2π)/207067 weeks
32.46066 -1.01811 (32*2π)/207065 weeks
33-.48725 -.89948 (33*2π)/207063 weeks
34-.34933 -.11656 (34*2π)/207061 weeks
35-.16404 -.419 (35*2π)/207059 weeks
36-.07647 -.15714 (36*2π)/207058 weeks
37-.14461 -.38733 (37*2π)/207056 weeks
38.19417 -.17958 (38*2π)/207054 weeks
39-.20057 -.58572 (39*2π)/207053 weeks
40-.10832 -.0574 (40*2π)/207052 weeks
41-.08638 -.16663 (41*2π)/207050 weeks
42.2128 -.32069 (42*2π)/207049 weeks
43-.10959 -.28063 (43*2π)/207048 weeks
44.1132 -.41063 (44*2π)/207047 weeks
45-.34313 -.04984 (45*2π)/207046 weeks
46.44875 -.22594 (46*2π)/207045 weeks
47-.11282 -.33565 (47*2π)/207044 weeks
48.00654 -.60394 (48*2π)/207043 weeks
49-.48116 .14824 (49*2π)/207042 weeks
50.44548 -.27249 (50*2π)/207041 weeks
51-.29971 -.17594 (51*2π)/207041 weeks
52.08265 -.36292 (52*2π)/207040 weeks
53-.27059 .19107 (53*2π)/207039 weeks
54.42166 -.15099 (54*2π)/207038 weeks
55.08174 -.31908 (55*2π)/207038 weeks
56-.04316 -.2918 (56*2π)/207037 weeks
57.13525 .06203 (57*2π)/207036 weeks
58.34901 -.55889 (58*2π)/207036 weeks
59-.1256 -.42975 (59*2π)/207035 weeks
60-.30391 -.0874 (60*2π)/207035 weeks
61.34837 -.02532 (61*2π)/207034 weeks
62.0804 -.47407 (62*2π)/207033 weeks
63-.09731 -.29845 (63*2π)/207033 weeks
64-.11255 -.03059 (64*2π)/207032 weeks
65.27283 -.16135 (65*2π)/207032 weeks
66-.12448 -.29965 (66*2π)/207031 weeks
67.06807 .04175 (67*2π)/207031 weeks
68.2232 -.25788 (68*2π)/207030 weeks
69.17936 -.23007 (69*2π)/207030 weeks
70-.06509 -.4568 (70*2π)/207030 weeks
71.19006 .15607 (71*2π)/207029 weeks
72.27286 -.79014 (72*2π)/207029 weeks
73-.3521 -.27538 (73*2π)/207028 weeks
74-.0603 -.19161 (74*2π)/207028 weeks
75.11781 -.06328 (75*2π)/207028 weeks
76-.08456 -.62683 (76*2π)/207027 weeks
77-.32995 .13184 (77*2π)/207027 weeks
78.15036 -.18614 (78*2π)/207027 weeks
79.02158 -.11568 (79*2π)/207026 weeks
80.0049 -.39753 (80*2π)/207026 weeks
81-.19834 .08065 (81*2π)/207026 weeks
82.26376 -.25056 (82*2π)/207025 weeks
83-.04317 -.30659 (83*2π)/207025 weeks
84-.17976 -.24547 (84*2π)/207025 weeks
85.02546 -.04775 (85*2π)/207024 weeks
86-.02264 -.23067 (86*2π)/207024 weeks
87.02414 -.10633 (87*2π)/207024 weeks
88-.04494 -.20169 (88*2π)/207024 weeks
89.08643 -.06376 (89*2π)/207023 weeks
90.10282 -.29619 (90*2π)/207023 weeks
91-.12759 -.30514 (91*2π)/207023 weeks
92-.1074 -.05591 (92*2π)/207023 weeks
93-.02296 -.12867 (93*2π)/207022 weeks
94.0175 -.16564 (94*2π)/207022 weeks
95-.12908 -.1253 (95*2π)/207022 weeks
96.00788 -.09764 (96*2π)/207022 weeks
97-.04649 .00787 (97*2π)/207021 weeks
98.05579 -.06671 (98*2π)/207021 weeks
99.10278 .00227 (99*2π)/207021 weeks
100.11585 -.26879 (100*2π)/207021 weeks
101.02417 -.09766 (101*2π)/207020 weeks
102.00651 -.24405 (102*2π)/207020 weeks
103-.0379 -.07792 (103*2π)/207020 weeks
104.09344 -.15366 (104*2π)/207020 weeks
105-.04606 -.13055 (105*2π)/207020 weeks
106.08217 -.17867 (106*2π)/207020 weeks
107-.06927 -.08152 (107*2π)/207019 weeks
108.14328 -.10406 (108*2π)/207019 weeks
109.02062 -.17768 (109*2π)/207019 weeks
110.10966 -.12315 (110*2π)/207019 weeks
111.10241 -.26623 (111*2π)/207019 weeks
112-.06688 -.18958 (112*2π)/207018 weeks
113.17397 -.16168 (113*2π)/207018 weeks
114-.08457 -.37812 (114*2π)/207018 weeks
115-.075 -.16368 (115*2π)/207018 weeks
116-.17636 -.09331 (116*2π)/207018 weeks
117.16822 -.02482 (117*2π)/207018 weeks
118-.0184 -.2953 (118*2π)/207018 weeks
119-.02866 -.14086 (119*2π)/207017 weeks
120-.03643 -.13575 (120*2π)/207017 weeks
121.09895 -.16309 (121*2π)/207017 weeks
122-.10375 -.31945 (122*2π)/207017 weeks
123-.16231 -.05947 (123*2π)/207017 weeks
124.07621 -.0188 (124*2π)/207017 weeks
125.01462 -.37729 (125*2π)/207017 weeks
126-.21227 -.01793 (126*2π)/207016 weeks
127.0076 -.10151 (127*2π)/207016 weeks
128.03033 -.01058 (128*2π)/207016 weeks
129-.00012 -.29805 (129*2π)/207016 weeks
130-.15572 .01798 (130*2π)/207016 weeks
131.07399 -.1159 (131*2π)/207016 weeks
132.01074 -.10225 (132*2π)/207016 weeks
133-.03658 -.14813 (133*2π)/207016 weeks
134.04379 -.07169 (134*2π)/207015 weeks
135.03436 -.17342 (135*2π)/207015 weeks
136-.02026 -.1825 (136*2π)/207015 weeks
137-.02565 -.11769 (137*2π)/207015 weeks
138-.00039 -.15534 (138*2π)/207015 weeks
139-.00486 -.1902 (139*2π)/207015 weeks
140-.13141 -.17488 (140*2π)/207015 weeks
141-.04494 -.0903 (141*2π)/207015 weeks
142-.0982 -.11797 (142*2π)/207015 weeks
143-.01432 -.1013 (143*2π)/207014 weeks
144-.13854 -.06093 (144*2π)/207014 weeks
145.02551 -.02875 (145*2π)/207014 weeks
146-.00198 -.08349 (146*2π)/207014 weeks
147-.0206 -.11968 (147*2π)/207014 weeks
148.01348 -.00925 (148*2π)/207014 weeks
149.0167 -.1511 (149*2π)/207014 weeks
150.0255 -.05961 (150*2π)/207014 weeks
151-.05938 -.10761 (151*2π)/207014 weeks
152.10198 -.05876 (152*2π)/207014 weeks
153-.02183 -.17149 (153*2π)/207014 weeks
154.0251 -.15141 (154*2π)/207013 weeks
155-.16181 -.07916 (155*2π)/207013 weeks
156.10115 -.00265 (156*2π)/207013 weeks
157-.02131 -.17166 (157*2π)/207013 weeks
158-.00948 -.01789 (158*2π)/207013 weeks
159.05196 -.11412 (159*2π)/207013 weeks
160-.01991 -.11545 (160*2π)/207013 weeks
161.11502 -.01461 (161*2π)/207013 weeks
162.10294 -.31204 (162*2π)/207013 weeks
163-.07924 -.17431 (163*2π)/207013 weeks
164-.04368 -.22337 (164*2π)/207013 weeks
165-.09395 -.06297 (165*2π)/207013 weeks
166.01084 -.17923 (166*2π)/207012 weeks
167-.05074 -.14784 (167*2π)/207012 weeks
168-.05567 -.16137 (168*2π)/207012 weeks
169-.09944 -.10225 (169*2π)/207012 weeks
170.02424 -.07804 (170*2π)/207012 weeks
171-.07846 -.24504 (171*2π)/207012 weeks
172-.11569 -.03232 (172*2π)/207012 weeks
173-.03834 -.18945 (173*2π)/207012 weeks
174-.1249 -.05901 (174*2π)/207012 weeks
175-.05659 -.10152 (175*2π)/207012 weeks
176-.08 -.09311 (176*2π)/207012 weeks
177-.09612 -.08609 (177*2π)/207012 weeks
178-.07548 -.07018 (178*2π)/207012 weeks
179-.08191 -.06514 (179*2π)/207012 weeks
180-.1245 -.06943 (180*2π)/207012 weeks
181-.13589 .05934 (181*2π)/207011 weeks
182.07758 .05427 (182*2π)/207011 weeks
183-.06957 -.15556 (183*2π)/207011 weeks
184-.06552 .06095 (184*2π)/207011 weeks
185.02465 -.03827 (185*2π)/207011 weeks
186.01018 -.03418 (186*2π)/207011 weeks
187-.0498 -.09148 (187*2π)/207011 weeks
188-.02752 .04542 (188*2π)/207011 weeks
189.05193 -.07077 (189*2π)/207011 weeks
190-.02146 -.05844 (190*2π)/207011 weeks
191.0133 -.0659 (191*2π)/207011 weeks
192-.02659 -.04892 (192*2π)/207011 weeks
193.04222 -.0799 (193*2π)/207011 weeks
194-.09057 -.08701 (194*2π)/207011 weeks
195.03361 -.00448 (195*2π)/207011 weeks
196-.00692 -.09063 (196*2π)/207011 weeks
197-.03813 -.10484 (197*2π)/207011 weeks
198-.05798 .0241 (198*2π)/207010 weeks
199.02367 -.05193 (199*2π)/207010 weeks
200.03613 -.01589 (200*2π)/207010 weeks
201-.05146 -.1134 (201*2π)/207010 weeks
202.06149 .12386 (202*2π)/207010 weeks
203.11653 -.16397 (203*2π)/207010 weeks
204-.02083 -.05755 (204*2π)/207010 weeks
205.04281 -.02328 (205*2π)/207010 weeks
206.1027 -.10527 (206*2π)/207010 weeks
207.01657 -.15413 (207*2π)/207010 weeks
208-.0321 -.05986 (208*2π)/207010 weeks
209.10578 -.08843 (209*2π)/207010 weeks
210-.04657 -.22166 (210*2π)/207010 weeks
211-.0873 -.0146 (211*2π)/207010 weeks
212.06503 -.04868 (212*2π)/207010 weeks
213.0028 -.16482 (213*2π)/207010 weeks
214-.03141 -.06423 (214*2π)/207010 weeks
215-.02526 -.12123 (215*2π)/207010 weeks
216.0221 -.03955 (216*2π)/207010 weeks
217-.05768 -.1583 (217*2π)/207010 weeks
218.00065 -.00687 (218*2π)/20709 weeks
219-.03438 -.16614 (219*2π)/20709 weeks
220-.02181 -.01008 (220*2π)/20709 weeks
221-.03588 -.13755 (221*2π)/20709 weeks
222-.02102 -.03183 (222*2π)/20709 weeks
223-.04078 -.05609 (223*2π)/20709 weeks
224.03437 -.04784 (224*2π)/20709 weeks
225-.04642 -.13108 (225*2π)/20709 weeks
226-.00185 .01227 (226*2π)/20709 weeks
227.00592 -.12153 (227*2π)/20709 weeks
228.04166 -.01273 (228*2π)/20709 weeks
229-.00618 -.18146 (229*2π)/20709 weeks
230-.03404 -.02148 (230*2π)/20709 weeks
231-.00267 -.1036 (231*2π)/20709 weeks
232.059 -.02736 (232*2π)/20709 weeks
233-.0322 -.21608 (233*2π)/20709 weeks
234-.0967 -.01004 (234*2π)/20709 weeks
235.05719 -.02213 (235*2π)/20709 weeks
236.00288 -.15729 (236*2π)/20709 weeks
237-.03259 -.04379 (237*2π)/20709 weeks
238-.00411 -.08912 (238*2π)/20709 weeks
239.03374 -.09798 (239*2π)/20709 weeks
240-.10614 -.14935 (240*2π)/20709 weeks
241-.03031 .04282 (241*2π)/20709 weeks
242.06118 -.09276 (242*2π)/20709 weeks
243.00623 -.14622 (243*2π)/20709 weeks
244-.08457 -.0669 (244*2π)/20708 weeks
245.06515 -.05461 (245*2π)/20708 weeks
246-.04601 -.17531 (246*2π)/20708 weeks
247-.05818 -.08609 (247*2π)/20708 weeks
248-.06168 -.02409 (248*2π)/20708 weeks
249.04133 -.14002 (249*2π)/20708 weeks
250-.09926 -.0685 (250*2π)/20708 weeks
251-.02323 -.0723 (251*2π)/20708 weeks
252.00301 -.04382 (252*2π)/20708 weeks
253-.01303 -.192 (253*2π)/20708 weeks
254-.15961 -.0377 (254*2π)/20708 weeks
255-.00833 -.03261 (255*2π)/20708 weeks
256.00611 -.0562 (256*2π)/20708 weeks
257-.07957 -.15066 (257*2π)/20708 weeks
258-.05813 .06134 (258*2π)/20708 weeks
259.02266 -.13127 (259*2π)/20708 weeks
260-.03906 -.01159 (260*2π)/20708 weeks
261-.07902 -.11254 (261*2π)/20708 weeks
262.02795 .05153 (262*2π)/20708 weeks
263.01273 -.15738 (263*2π)/20708 weeks
264-.08468 -.09378 (264*2π)/20708 weeks
265-.08938 .02948 (265*2π)/20708 weeks
266.07871 -.04652 (266*2π)/20708 weeks
267-.03881 -.10513 (267*2π)/20708 weeks
268-.06541 -.07229 (268*2π)/20708 weeks
269.01823 -.01865 (269*2π)/20708 weeks
270-.06712 -.11421 (270*2π)/20708 weeks
271-.00687 -.05385 (271*2π)/20708 weeks
272-.14197 -.05014 (272*2π)/20708 weeks
273.01436 .01947 (273*2π)/20708 weeks
274-.04735 .00869 (274*2π)/20708 weeks
275.06931 -.06943 (275*2π)/20708 weeks
276-.07503 .01263 (276*2π)/20708 weeks
277.13671 -.07779 (277*2π)/20707 weeks
278-.06085 -.07678 (278*2π)/20707 weeks
279.04577 -.08553 (279*2π)/20707 weeks
280-.02058 -.04894 (280*2π)/20707 weeks
281.03806 -.11367 (281*2π)/20707 weeks
282-.04086 -.10349 (282*2π)/20707 weeks
283-.0098 -.08332 (283*2π)/20707 weeks
284-.01061 -.05173 (284*2π)/20707 weeks
285.01858 -.08521 (285*2π)/20707 weeks
286-.00843 -.12034 (286*2π)/20707 weeks
287-.04153 -.10872 (287*2π)/20707 weeks
288-.05546 -.09528 (288*2π)/20707 weeks
289-.04988 -.08319 (289*2π)/20707 weeks
290-.02982 -.06166 (290*2π)/20707 weeks
291-.04908 -.06612 (291*2π)/20707 weeks
292.02305 -.0982 (292*2π)/20707 weeks
293-.15393 -.12709 (293*2π)/20707 weeks
294-.03853 .07083 (294*2π)/20707 weeks
295.05752 -.14489 (295*2π)/20707 weeks
296-.15721 -.09069 (296*2π)/20707 weeks
297-.06543 .01662 (297*2π)/20707 weeks
298-.00209 .01317 (298*2π)/20707 weeks
299.04493 -.09441 (299*2π)/20707 weeks
300-.09848 -.11329 (300*2π)/20707 weeks
301-.06217 .00935 (301*2π)/20707 weeks
302.01559 -.05794 (302*2π)/20707 weeks
303-.06407 -.08775 (303*2π)/20707 weeks
304-.06855 -.04655 (304*2π)/20707 weeks
305-.00965 .02025 (305*2π)/20707 weeks
306.03105 -.11863 (306*2π)/20707 weeks
307-.09826 -.08053 (307*2π)/20707 weeks
308-.03732 -.00846 (308*2π)/20707 weeks
309-.01227 -.06633 (309*2π)/20707 weeks
310-.04045 -.07523 (310*2π)/20707 weeks
311-.05518 -.03454 (311*2π)/20707 weeks
312-.05463 -.02907 (312*2π)/20707 weeks
313.02064 -.04574 (313*2π)/20707 weeks
314-.10717 -.09814 (314*2π)/20707 weeks
315-.03811 .03194 (315*2π)/20707 weeks
316.00824 -.01842 (316*2π)/20707 weeks
317-.00906 -.13247 (317*2π)/20707 weeks
318-.15549 .02545 (318*2π)/20707 weeks
319.04783 .02207 (319*2π)/20706 weeks
320.01132 -.06359 (320*2π)/20706 weeks
321-.04519 -.06929 (321*2π)/20706 weeks
322-.04363 .00932 (322*2π)/20706 weeks
323.04637 -.00411 (323*2π)/20706 weeks
324.02666 -.12128 (324*2π)/20706 weeks
325-.06723 -.07425 (325*2π)/20706 weeks
326-.04601 -.04171 (326*2π)/20706 weeks
327.01173 -.01423 (327*2π)/20706 weeks
328-.03844 -.13495 (328*2π)/20706 weeks
329-.098 .01747 (329*2π)/20706 weeks
330.02767 -.01729 (330*2π)/20706 weeks
331.00764 -.08279 (331*2π)/20706 weeks
332-.09172 -.054 (332*2π)/20706 weeks
333.07135 -.01803 (333*2π)/20706 weeks
334-.07009 -.12301 (334*2π)/20706 weeks
335-.00798 -.06412 (335*2π)/20706 weeks
336-.10338 -.04885 (336*2π)/20706 weeks
337.00704 -.03464 (337*2π)/20706 weeks
338-.06596 -.05763 (338*2π)/20706 weeks
339-.03123 -.05432 (339*2π)/20706 weeks
340-.05946 -.00798 (340*2π)/20706 weeks
341.01108 -.05139 (341*2π)/20706 weeks
342-.07899 -.04267 (342*2π)/20706 weeks
343.00465 -.01009 (343*2π)/20706 weeks
344-.02788 -.03589 (344*2π)/20706 weeks
345.01114 -.08762 (345*2π)/20706 weeks
346-.07707 -.00139 (346*2π)/20706 weeks
347.01792 -.0817 (347*2π)/20706 weeks
348-.02213 -.00096 (348*2π)/20706 weeks
349-.03337 -.15392 (349*2π)/20706 weeks
350-.0776 .01669 (350*2π)/20706 weeks
351-.03522 -.066 (351*2π)/20706 weeks
352-.02484 -.0339 (352*2π)/20706 weeks
353-.09008 -.01909 (353*2π)/20706 weeks
354.03628 -.02352 (354*2π)/20706 weeks
355-.0889 -.05936 (355*2π)/20706 weeks
356.00542 -.00216 (356*2π)/20706 weeks
357-.04497 -.06236 (357*2π)/20706 weeks
358-.00748 -.02413 (358*2π)/20706 weeks
359-.05613 -.06873 (359*2π)/20706 weeks
360-.0325 -.03516 (360*2π)/20706 weeks
361-.10605 -.05394 (361*2π)/20706 weeks
362-.0179 .07067 (362*2π)/20706 weeks
363-.00279 -.08093 (363*2π)/20706 weeks
364-.06328 .01399 (364*2π)/20706 weeks
365-.01016 -.02195 (365*2π)/20706 weeks
366.00122 .01709 (366*2π)/20706 weeks
367.02021 -.09245 (367*2π)/20706 weeks
368-.07101 -.00394 (368*2π)/20706 weeks
369.05125 -.02097 (369*2π)/20706 weeks
370-.03137 -.10538 (370*2π)/20706 weeks
371-.06589 -.02028 (371*2π)/20706 weeks
372-.00706 -.00717 (372*2π)/20706 weeks
373.01007 -.04604 (373*2π)/20706 weeks
374-.03051 -.0783 (374*2π)/20706 weeks
375-.08157 -.01878 (375*2π)/20706 weeks
376.01443 .01721 (376*2π)/20706 weeks
377-.01441 -.07673 (377*2π)/20705 weeks
378-.02458 -.01948 (378*2π)/20705 weeks
379-.02636 -.04352 (379*2π)/20705 weeks
380.00335 -.03063 (380*2π)/20705 weeks
381-.03575 -.07271 (381*2π)/20705 weeks
382-.07866 -.04739 (382*2π)/20705 weeks
383-.00371 .04765 (383*2π)/20705 weeks
384-.00043 -.09687 (384*2π)/20705 weeks
385-.0486 .00586 (385*2π)/20705 weeks
386-.00438 -.03225 (386*2π)/20705 weeks
387.00521 -.02636 (387*2π)/20705 weeks
388-.00064 -.08 (388*2π)/20705 weeks
389-.04351 -.05006 (389*2π)/20705 weeks
390-.03378 -.03209 (390*2π)/20705 weeks
391.01593 -.03904 (391*2π)/20705 weeks
392-.05965 -.10508 (392*2π)/20705 weeks
393-.04449 .01082 (393*2π)/20705 weeks
394-.0181 -.07797 (394*2π)/20705 weeks
395-.00939 -.03266 (395*2π)/20705 weeks
396-.1028 -.07896 (396*2π)/20705 weeks
397-.00333 .05012 (397*2π)/20705 weeks
398.01674 -.08881 (398*2π)/20705 weeks
399-.05293 -.07687 (399*2π)/20705 weeks
400-.08869 -.03804 (400*2π)/20705 weeks
401-.01407 .00444 (401*2π)/20705 weeks
402-.04923 -.0452 (402*2π)/20705 weeks
403-.05606 -.04434 (403*2π)/20705 weeks
404-.05397 .04163 (404*2π)/20705 weeks
405.02094 -.06479 (405*2π)/20705 weeks
406-.07607 -.00189 (406*2π)/20705 weeks
407-.01754 -.0122 (407*2π)/20705 weeks
408.011 .03252 (408*2π)/20705 weeks
409-.00026 -.09513 (409*2π)/20705 weeks
410-.03693 -.00909 (410*2π)/20705 weeks
411-.02006 -.05899 (411*2π)/20705 weeks
412-.03653 -.03572 (412*2π)/20705 weeks
413-.05501