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# Fourier Analysis of BIB (ProShares Ultra Nasdaq Biotechnology)

BIB (ProShares Ultra Nasdaq Biotechnology) appears to have interesting cyclic behaviour every 35 weeks (2.1658*sine), 42 weeks (2.0717*sine), and 19 weeks (1.7904*cosine).

BIB (ProShares Ultra Nasdaq Biotechnology) has an average price of 36.26 (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.

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

## Fourier Analysis

Using data from 4/8/2010 to 4/16/2018 for BIB (ProShares Ultra Nasdaq Biotechnology), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
036.25845   0
1-10.09817 -27.77278 (1*2π)/420420 weeks
23.54394 1.67485 (2*2π)/420210 weeks
35.57113 -9.8959 (3*2π)/420140 weeks
4-4.57043 -7.33864 (4*2π)/420105 weeks
5.23914 .43094 (5*2π)/42084 weeks
61.04985 -5.80887 (6*2π)/42070 weeks
7-1.88664 -2.70307 (7*2π)/42060 weeks
8-.12695 -1.04662 (8*2π)/42053 weeks
9.38129 -1.2978 (9*2π)/42047 weeks
10-.16659 -2.07171 (10*2π)/42042 weeks
11-.03846 -1.24842 (11*2π)/42038 weeks
12-.80841 -2.1658 (12*2π)/42035 weeks
13.34554 -.35488 (13*2π)/42032 weeks
14.55683 -1.50214 (14*2π)/42030 weeks
15-.0761 -1.7025 (15*2π)/42028 weeks
16-1.09906 -1.24292 (16*2π)/42026 weeks
17.45373 -.62037 (17*2π)/42025 weeks
18-1.2487 -1.7964 (18*2π)/42023 weeks
19-.65414 .07981 (19*2π)/42022 weeks
20.03745 -.33534 (20*2π)/42021 weeks
21.5355 -1.46329 (21*2π)/42020 weeks
22-1.79038 -.5632 (22*2π)/42019 weeks
23.48017 .56206 (23*2π)/42018 weeks
24.09135 -1.00124 (24*2π)/42018 weeks
25-.66016 -.69037 (25*2π)/42017 weeks
26-.42082 .09168 (26*2π)/42016 weeks
27.42185 -.06169 (27*2π)/42016 weeks
28-.12967 -.37772 (28*2π)/42015 weeks
29.50247 -.69523 (29*2π)/42014 weeks
30-.35659 -.43183 (30*2π)/42014 weeks
31.48296 -.79083 (31*2π)/42014 weeks
32-.41199 -.76394 (32*2π)/42013 weeks
33-.03922 -.18885 (33*2π)/42013 weeks
34-.2541 -.5747 (34*2π)/42012 weeks
35-.15928 -.50254 (35*2π)/42012 weeks
36-.48656 -.50441 (36*2π)/42012 weeks
37-.18539 -.14318 (37*2π)/42011 weeks
38-.27546 -.27553 (38*2π)/42011 weeks
39-.05829 -.24373 (39*2π)/42011 weeks
40-.0348 .11522 (40*2π)/42011 weeks
41-.03562 -.43681 (41*2π)/42010 weeks
42.15512 -.39077 (42*2π)/42010 weeks
43-.35762 -.57382 (43*2π)/42010 weeks
44-.04472 -.32151 (44*2π)/42010 weeks
45-.39307 -.24461 (45*2π)/4209 weeks
46.06682 -.08586 (46*2π)/4209 weeks
47-.19689 -.4226 (47*2π)/4209 weeks
48-.52585 -.04091 (48*2π)/4209 weeks
49.13 -.1401 (49*2π)/4209 weeks
50-.23878 .0549 (50*2π)/4208 weeks
51.16319 -.23045 (51*2π)/4208 weeks
52.21575 -.10772 (52*2π)/4208 weeks
53-.37416 -.79213 (53*2π)/4208 weeks
54-.64085 .36572 (54*2π)/4208 weeks
55.32297 .27611 (55*2π)/4208 weeks
56.4001 -.45774 (56*2π)/4208 weeks
57-.34252 -.48653 (57*2π)/4207 weeks
58-.0604 .20266 (58*2π)/4207 weeks
59.11805 -.08331 (59*2π)/4207 weeks
60-.15151 -.19462 (60*2π)/4207 weeks
61.05793 -.0147 (61*2π)/4207 weeks
62.30446 -.25979 (62*2π)/4207 weeks
63-.1002 -.34529 (63*2π)/4207 weeks
64.32944 -.18914 (64*2π)/4207 weeks
65-.21084 -.53063 (65*2π)/4206 weeks
66-.13043 -.12416 (66*2π)/4206 weeks
67.24805 -.22664 (67*2π)/4206 weeks
68-.1137 -.70344 (68*2π)/4206 weeks
69-.28621 -.26014 (69*2π)/4206 weeks
70-.2628 -.28716 (70*2π)/4206 weeks
71-.1127 .07357 (71*2π)/4206 weeks
72.0481 -.36141 (72*2π)/4206 weeks
73-.14795 -.18498 (73*2π)/4206 weeks
74.00331 -.21651 (74*2π)/4206 weeks
75-.15972 -.15765 (75*2π)/4206 weeks
76.11197 -.13534 (76*2π)/4206 weeks
77.03749 -.62429 (77*2π)/4205 weeks
78-.41602 -.19929 (78*2π)/4205 weeks
79-.09761 -.19723 (79*2π)/4205 weeks
80-.07805 -.21904 (80*2π)/4205 weeks
81-.34919 -.49227 (81*2π)/4205 weeks
82-.44176 .13967 (82*2π)/4205 weeks
83.08218 -.06312 (83*2π)/4205 weeks
84-.2786 -.17436 (84*2π)/4205 weeks
85-.09219 .09677 (85*2π)/4205 weeks
86.03635 -.18783 (86*2π)/4205 weeks
87-.13552 -.16117 (87*2π)/4205 weeks
88-.07121 -.13016 (88*2π)/4205 weeks
89-.05595 -.07768 (89*2π)/4205 weeks
90.08549 -.23165 (90*2π)/4205 weeks
91-.26557 -.47715 (91*2π)/4205 weeks
92-.31213 .11781 (92*2π)/4205 weeks
93.07187 -.18993 (93*2π)/4205 weeks
94-.15176 -.21627 (94*2π)/4204 weeks
95-.33293 -.03482 (95*2π)/4204 weeks
96.09635 .08517 (96*2π)/4204 weeks
97-.12153 -.40717 (97*2π)/4204 weeks
98-.17894 .1117 (98*2π)/4204 weeks
99.06371 -.26736 (99*2π)/4204 weeks
100-.23502 -.01797 (100*2π)/4204 weeks
101.15445 -.15704 (101*2π)/4204 weeks
102-.20143 -.50918 (102*2π)/4204 weeks
103-.4056 .16622 (103*2π)/4204 weeks
104.12525 -.25528 (104*2π)/4204 weeks
105-.32545 -.08158 (105*2π)/4204 weeks
106.03469 -.02579 (106*2π)/4204 weeks
107.09229 -.16181 (107*2π)/4204 weeks
108-.22827 -.45901 (108*2π)/4204 weeks
109-.41294 -.12143 (109*2π)/4204 weeks
110-.23114 .06237 (110*2π)/4204 weeks
111-.00935 -.14808 (111*2π)/4204 weeks
112-.27472 -.12078 (112*2π)/4204 weeks
113-.09621 .01502 (113*2π)/4204 weeks
114-.03256 -.15544 (114*2π)/4204 weeks
115-.27891 -.1636 (115*2π)/4204 weeks
116-.16951 .04293 (116*2π)/4204 weeks
117.03984 -.09703 (117*2π)/4204 weeks
118-.23333 -.21747 (118*2π)/4204 weeks
119-.21812 .03214 (119*2π)/4204 weeks
120-.12409 .02334 (120*2π)/4204 weeks
121-.17798 -.00669 (121*2π)/4203 weeks
122-.06143 -.07815 (122*2π)/4203 weeks
123-.17022 .05985 (123*2π)/4203 weeks
124.08862 .08852 (124*2π)/4203 weeks
125.00335 -.2533 (125*2π)/4203 weeks
126-.16466 .02266 (126*2π)/4203 weeks
127.07269 -.05317 (127*2π)/4203 weeks
128-.18369 -.18072 (128*2π)/4203 weeks
129-.03326 .0125 (129*2π)/4203 weeks
130-.05424 -.14312 (130*2π)/4203 weeks
131-.19973 -.0631 (131*2π)/4203 weeks
132-.01752 .09922 (132*2π)/4203 weeks
133.08537 -.14535 (133*2π)/4203 weeks
134-.17301 -.11237 (134*2π)/4203 weeks
135.01792 .0349 (135*2π)/4203 weeks
136.08873 -.24603 (136*2π)/4203 weeks
137-.10312 -.24985 (137*2π)/4203 weeks
138-.18729 -.09123 (138*2π)/4203 weeks
139.06826 -.12487 (139*2π)/4203 weeks
140-.26154 -.3506 (140*2π)/4203 weeks
141-.17284 -.01344 (141*2π)/4203 weeks
142-.08022 -.09817 (142*2π)/4203 weeks
143-.14834 -.22228 (143*2π)/4203 weeks
144-.15065 .01849 (144*2π)/4203 weeks
145-.05247 -.29018 (145*2π)/4203 weeks
146-.29904 -.17727 (146*2π)/4203 weeks
147-.26717 -.01754 (147*2π)/4203 weeks
148-.11484 -.05986 (148*2π)/4203 weeks
149-.29319 -.14152 (149*2π)/4203 weeks
150-.08092 .01725 (150*2π)/4203 weeks
151-.19241 -.11268 (151*2π)/4203 weeks
152-.243 -.07232 (152*2π)/4203 weeks
153-.24369 .11066 (153*2π)/4203 weeks
154-.06253 -.08944 (154*2π)/4203 weeks
155-.19067 .00361 (155*2π)/4203 weeks
156-.03189 .01081 (156*2π)/4203 weeks
157-.22119 -.20494 (157*2π)/4203 weeks
158-.25524 .07911 (158*2π)/4203 weeks
159-.23593 .09897 (159*2π)/4203 weeks
160-.01741 .1936 (160*2π)/4203 weeks
161.04512 -.14915 (161*2π)/4203 weeks
162-.25039 .01817 (162*2π)/4203 weeks
163.05699 .10831 (163*2π)/4203 weeks
164-.1683 -.2291 (164*2π)/4203 weeks
165-.22709 .07823 (165*2π)/4203 weeks
166-.03589 .01478 (166*2π)/4203 weeks
167-.14946 -.12319 (167*2π)/4203 weeks
168-.23077 .06475 (168*2π)/4203 weeks
169-.05013 .10815 (169*2π)/4202 weeks
170-.0807 .00703 (170*2π)/4202 weeks
171-.02703 .05095 (171*2π)/4202 weeks
172-.0651 -.07437 (172*2π)/4202 weeks
173-.08536 -.07514 (173*2π)/4202 weeks
174-.10913 -.12487 (174*2π)/4202 weeks
175-.24302 .03856 (175*2π)/4202 weeks
176-.04545 .05187 (176*2π)/4202 weeks
177-.14327 -.12344 (177*2π)/4202 weeks
178-.18423 .06698 (178*2π)/4202 weeks
179-.12545 .00118 (179*2π)/4202 weeks
180-.23148 .00644 (180*2π)/4202 weeks
181-.13139 .21263 (181*2π)/4202 weeks
182.15511 -.00867 (182*2π)/4202 weeks
183-.29367 -.12245 (183*2π)/4202 weeks
184-.12918 .18856 (184*2π)/4202 weeks
185.02745 -.07062 (185*2π)/4202 weeks
186-.25488 .02491 (186*2π)/4202 weeks
187-.01984 .21064 (187*2π)/4202 weeks
188.05811 -.03854 (188*2π)/4202 weeks
189-.16812 -.10215 (189*2π)/4202 weeks
190-.10579 .08803 (190*2π)/4202 weeks
191-.05645 .06381 (191*2π)/4202 weeks
192.00285 -.08654 (192*2π)/4202 weeks
193-.24211 -.03135 (193*2π)/4202 weeks
194-.0098 .15722 (194*2π)/4202 weeks
195-.17179 -.10714 (195*2π)/4202 weeks
196-.14958 .11733 (196*2π)/4202 weeks
197.03834 .08863 (197*2π)/4202 weeks
198-.06114 -.03801 (198*2π)/4202 weeks
199-.16291 .13326 (199*2π)/4202 weeks
200.16534 -.0213 (200*2π)/4202 weeks
201-.19138 -.11284 (201*2π)/4202 weeks
202-.13168 .141 (202*2π)/4202 weeks
203.09857 -.06453 (203*2π)/4202 weeks
204-.13238 -.1102 (204*2π)/4202 weeks
205-.12904 .02557 (205*2π)/4202 weeks
206-.0693 -.08213 (206*2π)/4202 weeks
207-.2972 -.0271 (207*2π)/4202 weeks
208-.04824 .27551 (208*2π)/4202 weeks
209.0624 -.05201 (209*2π)/4202 weeks
210-.14855   (210*2π)/4202 weeks
211.0624 .05201 (211*2π)/4202 weeks
212-.04824 -.27551 (212*2π)/4202 weeks
213-.2972 .0271 (213*2π)/4202 weeks
214-.0693 .08213 (214*2π)/4202 weeks
215-.12904 -.02557 (215*2π)/4202 weeks
216-.13238 .1102 (216*2π)/4202 weeks
217.09857 .06453 (217*2π)/4202 weeks
218-.13168 -.141 (218*2π)/4202 weeks
219-.19138 .11284 (219*2π)/4202 weeks
220.16534 .0213 (220*2π)/4202 weeks
221-.16291 -.13326 (221*2π)/4202 weeks
222-.06114 .03801 (222*2π)/4202 weeks
223.03834 -.08863 (223*2π)/4202 weeks
224-.14958 -.11733 (224*2π)/4202 weeks
225-.17179 .10714 (225*2π)/4202 weeks
226-.0098 -.15722 (226*2π)/4202 weeks
227-.24211 .03135 (227*2π)/4202 weeks
228.00285 .08654 (228*2π)/4202 weeks
229-.05645 -.06381 (229*2π)/4202 weeks
230-.10579 -.08803 (230*2π)/4202 weeks
231-.16812 .10215 (231*2π)/4202 weeks
232.05811 .03854 (232*2π)/4202 weeks
233-.01984 -.21064 (233*2π)/4202 weeks
234-.25488 -.02491 (234*2π)/4202 weeks
235.02745 .07062 (235*2π)/4202 weeks
236-.12918 -.18856 (236*2π)/4202 weeks
237-.29367 .12245 (237*2π)/4202 weeks
238.15511 .00867 (238*2π)/4202 weeks
239-.13139 -.21263 (239*2π)/4202 weeks
240-.23148 -.00644 (240*2π)/4202 weeks
241-.12545 -.00118 (241*2π)/4202 weeks
242-.18423 -.06698 (242*2π)/4202 weeks
243-.14327 .12344 (243*2π)/4202 weeks
244-.04545 -.05187 (244*2π)/4202 weeks
245-.24302 -.03856 (245*2π)/4202 weeks
246-.10913 .12487 (246*2π)/4202 weeks
247-.08536 .07514 (247*2π)/4202 weeks
248-.0651 .07437 (248*2π)/4202 weeks
249-.02703 -.05095 (249*2π)/4202 weeks
250-.0807 -.00703 (250*2π)/4202 weeks
251-.05013 -.10815 (251*2π)/4202 weeks
252-.23077 -.06475 (252*2π)/4202 weeks
253-.14946 .12319 (253*2π)/4202 weeks
254-.03589 -.01478 (254*2π)/4202 weeks
255-.22709 -.07823 (255*2π)/4202 weeks
256-.1683 .2291 (256*2π)/4202 weeks
257.05699 -.10831 (257*2π)/4202 weeks
258-.25039 -.01817 (258*2π)/4202 weeks
259.04512 .14915 (259*2π)/4202 weeks
260-.01741 -.1936 (260*2π)/4202 weeks
261-.23593 -.09897 (261*2π)/4202 weeks
262-.25524 -.07911 (262*2π)/4202 weeks
263-.22119 .20494 (263*2π)/4202 weeks
264-.03189 -.01081 (264*2π)/4202 weeks
265-.19067 -.00361 (265*2π)/4202 weeks
266-.06253 .08944 (266*2π)/4202 weeks
267-.24369 -.11066 (267*2π)/4202 weeks
268-.243 .07232 (268*2π)/4202 weeks
269-.19241 .11268 (269*2π)/4202 weeks
270-.08092 -.01725 (270*2π)/4202 weeks
271-.29319 .14152 (271*2π)/4202 weeks
272-.11484 .05986 (272*2π)/4202 weeks
273-.26717 .01754 (273*2π)/4202 weeks
274-.29904 .17727 (274*2π)/4202 weeks
275-.05247 .29018 (275*2π)/4202 weeks
276-.15065 -.01849 (276*2π)/4202 weeks
277-.14834 .22228 (277*2π)/4202 weeks
278-.08022 .09817 (278*2π)/4202 weeks
279-.17284 .01344 (279*2π)/4202 weeks
280-.26154 .3506 (280*2π)/4202 weeks
281.06826 .12487 (281*2π)/4201 weeks
282-.18729 .09123 (282*2π)/4201 weeks
283-.10312 .24985 (283*2π)/4201 weeks
284.08873 .24603 (284*2π)/4201 weeks
285.01792 -.0349 (285*2π)/4201 weeks
286-.17301 .11237 (286*2π)/4201 weeks
287.08537 .14535 (287*2π)/4201 weeks
288-.01752 -.09922 (288*2π)/4201 weeks
289-.19973 .0631 (289*2π)/4201 weeks
290-.05424 .14312 (290*2π)/4201 weeks
291-.03326 -.0125 (291*2π)/4201 weeks
292-.18369 .18072 (292*2π)/4201 weeks
293.07269 .05317 (293*2π)/4201 weeks
294-.16466 -.02266 (294*2π)/4201 weeks
295.00335 .2533 (295*2π)/4201 weeks
296.08862 -.08852 (296*2π)/4201 weeks
297-.17022 -.05985 (297*2π)/4201 weeks
298-.06143 .07815 (298*2π)/4201 weeks
299-.17798 .00669 (299*2π)/4201 weeks
300-.12409 -.02334 (300*2π)/4201 weeks
301-.21812 -.03214 (301*2π)/4201 weeks
302-.23333 .21747 (302*2π)/4201 weeks
303.03984 .09703 (303*2π)/4201 weeks
304-.16951 -.04293 (304*2π)/4201 weeks
305-.27891 .1636 (305*2π)/4201 weeks
306-.03256 .15544 (306*2π)/4201 weeks
307-.09621 -.01502 (307*2π)/4201 weeks
308-.27472 .12078 (308*2π)/4201 weeks
309-.00935 .14808 (309*2π)/4201 weeks
310-.23114 -.06237 (310*2π)/4201 weeks
311-.41294 .12143 (311*2π)/4201 weeks
312-.22827 .45901 (312*2π)/4201 weeks
313.09229 .16181 (313*2π)/4201 weeks
314.03469 .02579 (314*2π)/4201 weeks
315-.32545 .08158 (315*2π)/4201 weeks
316.12525 .25528 (316*2π)/4201 weeks
317-.4056 -.16622 (317*2π)/4201 weeks
318-.20143 .50918 (318*2π)/4201 weeks
319.15445 .15704 (319*2π)/4201 weeks
320-.23502 .01797 (320*2π)/4201 weeks
321.06371 .26736 (321*2π)/4201 weeks
322-.17894 -.1117 (322*2π)/4201 weeks
323-.12153 .40717 (323*2π)/4201 weeks
324.09635 -.08517 (324*2π)/4201 weeks
325-.33293 .03482 (325*2π)/4201 weeks
326-.15176 .21627 (326*2π)/4201 weeks
327.07187 .18993 (327*2π)/4201 weeks
328-.31213 -.11781 (328*2π)/4201 weeks
329-.26557 .47715 (329*2π)/4201 weeks
330.08549 .23165 (330*2π)/4201 weeks
331-.05595 .07768 (331*2π)/4201 weeks
332-.07121 .13016 (332*2π)/4201 weeks
333-.13552 .16117 (333*2π)/4201 weeks
334.03635 .18783 (334*2π)/4201 weeks
335-.09219 -.09677 (335*2π)/4201 weeks
336-.2786 .17436 (336*2π)/4201 weeks
337.08218 .06312 (337*2π)/4201 weeks
338-.44176 -.13967 (338*2π)/4201 weeks
339-.34919 .49227 (339*2π)/4201 weeks
340-.07805 .21904 (340*2π)/4201 weeks
341-.09761 .19723 (341*2π)/4201 weeks
342-.41602 .19929 (342*2π)/4201 weeks
343.03749 .62429 (343*2π)/4201 weeks
344.11197 .13534 (344*2π)/4201 weeks
345-.15972 .15765 (345*2π)/4201 weeks
346.00331 .21651 (346*2π)/4201 weeks
347-.14795 .18498 (347*2π)/4201 weeks
348.0481 .36141 (348*2π)/4201 weeks
349-.1127 -.07357 (349*2π)/4201 weeks
350-.2628 .28716 (350*2π)/4201 weeks
351-.28621 .26014 (351*2π)/4201 weeks
352-.1137 .70344 (352*2π)/4201 weeks
353.24805 .22664 (353*2π)/4201 weeks
354-.13043 .12416 (354*2π)/4201 weeks
355-.21084 .53063 (355*2π)/4201 weeks
356.32944 .18914 (356*2π)/4201 weeks
357-.1002 .34529 (357*2π)/4201 weeks
358.30446 .25979 (358*2π)/4201 weeks
359.05793 .0147 (359*2π)/4201 weeks
360-.15151 .19462 (360*2π)/4201 weeks
361.11805 .08331 (361*2π)/4201 weeks
362-.0604 -.20266 (362*2π)/4201 weeks
363-.34252 .48653 (363*2π)/4201 weeks
364.4001 .45774 (364*2π)/4201 weeks
365.32297 -.27611 (365*2π)/4201 weeks
366-.64085 -.36572 (366*2π)/4201 weeks
367-.37416 .79213 (367*2π)/4201 weeks
368.21575 .10772 (368*2π)/4201 weeks
369.16319 .23045 (369*2π)/4201 weeks
370-.23878 -.0549 (370*2π)/4201 weeks
371.13 .1401 (371*2π)/4201 weeks
372-.52585 .04091 (372*2π)/4201 weeks
373-.19689 .4226 (373*2π)/4201 weeks
374.06682 .08586 (374*2π)/4201 weeks
375-.39307 .24461 (375*2π)/4201 weeks
376-.04472 .32151 (376*2π)/4201 weeks
377-.35762 .57382 (377*2π)/4201 weeks
378.15512 .39077 (378*2π)/4201 weeks
379-.03562 .43681 (379*2π)/4201 weeks
380-.0348 -.11522 (380*2π)/4201 weeks
381-.05829 .24373 (381*2π)/4201 weeks
382-.27546 .27553 (382*2π)/4201 weeks
383-.18539 .14318 (383*2π)/4201 weeks
384-.48656 .50441 (384*2π)/4201 weeks
385-.15928 .50254 (385*2π)/4201 weeks
386-.2541 .5747 (386*2π)/4201 weeks
387-.03922 .18885 (387*2π)/4201 weeks
388-.41199 .76394 (388*2π)/4201 weeks
389.48296 .79083 (389*2π)/4201 weeks
390-.35659 .43183 (390*2π)/4201 weeks
391.50247 .69523 (391*2π)/4201 weeks
392-.12967 .37772 (392*2π)/4201 weeks
393.42185 .06169 (393*2π)/4201 weeks
394-.42082 -.09168 (394*2π)/4201 weeks
395-.66016 .69037 (395*2π)/4201 weeks
396.09135 1.00124 (396*2π)/4201 weeks
397.48017 -.56206 (397*2π)/4201 weeks
398-1.79038 .5632 (398*2π)/4201 weeks
399.5355 1.46329 (399*2π)/4201 weeks
400.03745 .33534 (400*2π)/4201 weeks
401-.65414 -.07981 (401*2π)/4201 weeks
402-1.2487 1.7964 (402*2π)/4201 weeks
403.45373 .62037 (403*2π)/4201 weeks
404-1.09906 1.24292 (404*2π)/4201 weeks
405-.0761 1.7025 (405*2π)/4201 weeks
406.55683 1.50214 (406*2π)/4201 weeks
407.34554 .35488 (407*2π)/4201 weeks
408-.80841 2.1658 (408*2π)/4201 weeks
409-.03846 1.24842 (409*2π)/4201 weeks
410-.16659 2.07171 (410*2π)/4201 weeks
411.38129 1.2978 (411*2π)/4201 weeks
412-.12695 1.04662 (412*2π)/4201 weeks
413-1.88664 2.70307 (413*2π)/4201 weeks
4141.04985 5.80887 (414*2π)/4201 weeks
415.23914 -.43094 (415*2π)/4201 weeks
416-4.57043 7.33864 (416*2π)/4201 weeks
4175.57113 9.8959 (417*2π)/4201 weeks
4183.54394 -1.67485 (418*2π)/4201 weeks