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# Fourier Analysis of ROM (ProShares Ultra Technology)

ROM (ProShares Ultra Technology) appears to have interesting cyclic behaviour every 59 weeks (3.0143*sine), 45 weeks (2.8697*sine), and 53 weeks (2.6298*sine).

ROM (ProShares Ultra Technology) has an average price of 28.25 (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 2/1/2007 to 4/16/2018 for ROM (ProShares Ultra Technology), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
028.24977   0
112.83665 -16.94493 (1*2π)/586586 weeks
26.41032 -9.14603 (2*2π)/586293 weeks
36.46052 -5.96351 (3*2π)/586195 weeks
42.5135 -7.0486 (4*2π)/586147 weeks
5-.60483 -5.23015 (5*2π)/586117 weeks
6-.17484 -4.56432 (6*2π)/58698 weeks
7.02246 -4.06232 (7*2π)/58684 weeks
8.97786 -4.01876 (8*2π)/58673 weeks
9.14285 -2.55561 (9*2π)/58665 weeks
10-.46902 -3.01426 (10*2π)/58659 weeks
11-.08759 -2.62977 (11*2π)/58653 weeks
12-.55055 -2.50813 (12*2π)/58649 weeks
13-.1258 -2.86974 (13*2π)/58645 weeks
14.07016 -2.49876 (14*2π)/58642 weeks
15.01039 -2.25765 (15*2π)/58639 weeks
16-.33934 -1.90559 (16*2π)/58637 weeks
17-.70654 -1.37303 (17*2π)/58634 weeks
18-.21525 -.79014 (18*2π)/58633 weeks
19-.54305 -1.26646 (19*2π)/58631 weeks
20-.26353 -1.22582 (20*2π)/58629 weeks
21-.41966 -1.20132 (21*2π)/58628 weeks
22-.13016 -1.06491 (22*2π)/58627 weeks
23-.20187 -1.16548 (23*2π)/58625 weeks
24.05219 -1.4661 (24*2π)/58624 weeks
25-.70942 -1.08695 (25*2π)/58623 weeks
26-.04155 -.74997 (26*2π)/58623 weeks
27.19614 -.8164 (27*2π)/58622 weeks
28.4703 -1.3492 (28*2π)/58621 weeks
29-.26556 -.98225 (29*2π)/58620 weeks
30-.37945 -1.05788 (30*2π)/58620 weeks
31-.4445 -.51499 (31*2π)/58619 weeks
32-.20083 -.6511 (32*2π)/58618 weeks
33-.10772 -.96231 (33*2π)/58618 weeks
34-.32773 -1.00634 (34*2π)/58617 weeks
35-.28668 -.70764 (35*2π)/58617 weeks
36-.05494 -.27283 (36*2π)/58616 weeks
37-.17011 -.47719 (37*2π)/58616 weeks
38-.15802 -.61718 (38*2π)/58615 weeks
39-.29875 -.65212 (39*2π)/58615 weeks
40-.23975 -.5388 (40*2π)/58615 weeks
41-.34281 -.61682 (41*2π)/58614 weeks
42-.14397 -.53735 (42*2π)/58614 weeks
43-.0211 -.35563 (43*2π)/58614 weeks
44-.3042 -.54141 (44*2π)/58613 weeks
45-.17225 -.35902 (45*2π)/58613 weeks
46.06353 -.28364 (46*2π)/58613 weeks
47-.11725 -.64003 (47*2π)/58612 weeks
48-.00327 -.41279 (48*2π)/58612 weeks
49.06081 -.54357 (49*2π)/58612 weeks
50.229 -.76401 (50*2π)/58612 weeks
51-.29242 -.52857 (51*2π)/58611 weeks
52-.08052 -.30502 (52*2π)/58611 weeks
53-.02279 -.44492 (53*2π)/58611 weeks
54-.265 -.49687 (54*2π)/58611 weeks
55-.3836 -.47227 (55*2π)/58611 weeks
56-.3529 -.21683 (56*2π)/58610 weeks
57-.23147 -.26395 (57*2π)/58610 weeks
58-.08853 -.29202 (58*2π)/58610 weeks
59-.14751 -.25391 (59*2π)/58610 weeks
60-.19407 -.53324 (60*2π)/58610 weeks
61-.19615 -.31716 (61*2π)/58610 weeks
62-.21327 -.3475 (62*2π)/5869 weeks
63-.22871 -.23082 (63*2π)/5869 weeks
64-.1498 -.12789 (64*2π)/5869 weeks
65-.07832 -.23049 (65*2π)/5869 weeks
66-.07759 -.27162 (66*2π)/5869 weeks
67-.21427 -.14045 (67*2π)/5869 weeks
68-.14346 -.09912 (68*2π)/5869 weeks
69-.19928 -.11364 (69*2π)/5868 weeks
70-.09932 -.00539 (70*2π)/5868 weeks
71.15002 -.16379 (71*2π)/5868 weeks
72.01935 -.29017 (72*2π)/5868 weeks
73.10564 -.32239 (73*2π)/5868 weeks
74.04123 -.19475 (74*2π)/5868 weeks
75.07705 -.35905 (75*2π)/5868 weeks
76.0446 -.28456 (76*2π)/5868 weeks
77.1447 -.19497 (77*2π)/5868 weeks
78.14607 -.28444 (78*2π)/5868 weeks
79-.11909 -.31221 (79*2π)/5867 weeks
80-.06346 -.24978 (80*2π)/5867 weeks
81.16329 -.14276 (81*2π)/5867 weeks
82-.03083 -.27647 (82*2π)/5867 weeks
83.03513 -.29908 (83*2π)/5867 weeks
84.02762 -.1824 (84*2π)/5867 weeks
85-.00901 -.32387 (85*2π)/5867 weeks
86.01233 -.3215 (86*2π)/5867 weeks
87-.00291 -.40189 (87*2π)/5867 weeks
88.09867 -.29514 (88*2π)/5867 weeks
89.07346 -.40619 (89*2π)/5867 weeks
90.10364 -.41145 (90*2π)/5867 weeks
91.00039 -.38101 (91*2π)/5866 weeks
92-.07177 -.39571 (92*2π)/5866 weeks
93-.09588 -.38072 (93*2π)/5866 weeks
94.00058 -.39192 (94*2π)/5866 weeks
95-.01627 -.48865 (95*2π)/5866 weeks
96-.15051 -.44965 (96*2π)/5866 weeks
97-.19707 -.31482 (97*2π)/5866 weeks
98-.15392 -.2873 (98*2π)/5866 weeks
99-.12246 -.36796 (99*2π)/5866 weeks
100-.06096 -.34387 (100*2π)/5866 weeks
101-.12408 -.30116 (101*2π)/5866 weeks
102-.0729 -.37139 (102*2π)/5866 weeks
103-.13256 -.31958 (103*2π)/5866 weeks
104-.13246 -.30868 (104*2π)/5866 weeks
105-.16182 -.26049 (105*2π)/5866 weeks
106-.17559 -.28464 (106*2π)/5866 weeks
107-.19037 -.37512 (107*2π)/5865 weeks
108-.25333 -.35688 (108*2π)/5865 weeks
109-.2511 -.24476 (109*2π)/5865 weeks
110-.2076 -.2094 (110*2π)/5865 weeks
111-.24633 -.22519 (111*2π)/5865 weeks
112-.21597 -.11771 (112*2π)/5865 weeks
113-.23904 -.3192 (113*2π)/5865 weeks
114-.2631 -.20195 (114*2π)/5865 weeks
115-.16268 -.18444 (115*2π)/5865 weeks
116-.06176 -.21951 (116*2π)/5865 weeks
117-.13355 -.25363 (117*2π)/5865 weeks
118-.22569 -.18056 (118*2π)/5865 weeks
119-.18485 -.18813 (119*2π)/5865 weeks
120-.12182 -.18282 (120*2π)/5865 weeks
121-.16322 -.24609 (121*2π)/5865 weeks
122-.0903 -.25243 (122*2π)/5865 weeks
123-.14695 -.16044 (123*2π)/5865 weeks
124-.11282 -.11564 (124*2π)/5865 weeks
125-.05846 -.1717 (125*2π)/5865 weeks
126-.10212 -.21557 (126*2π)/5865 weeks
127-.1703 -.26971 (127*2π)/5865 weeks
128-.23217 -.18198 (128*2π)/5865 weeks
129-.12427 -.18385 (129*2π)/5865 weeks
130-.14458 -.15324 (130*2π)/5865 weeks
131-.13633 -.17468 (131*2π)/5864 weeks
132-.16511 -.30026 (132*2π)/5864 weeks
133-.20353 -.13731 (133*2π)/5864 weeks
134-.07204 -.12191 (134*2π)/5864 weeks
135-.03346 -.25959 (135*2π)/5864 weeks
136-.15895 -.33559 (136*2π)/5864 weeks
137-.14662 -.17116 (137*2π)/5864 weeks
138-.11942 -.18768 (138*2π)/5864 weeks
139-.20139 -.21663 (139*2π)/5864 weeks
140-.13212 -.14576 (140*2π)/5864 weeks
141-.11747 -.19452 (141*2π)/5864 weeks
142-.23833 -.2644 (142*2π)/5864 weeks
143-.29624 -.22893 (143*2π)/5864 weeks
144-.23773 -.09282 (144*2π)/5864 weeks
145-.13602 -.23597 (145*2π)/5864 weeks
146-.1793 -.21932 (146*2π)/5864 weeks
147-.28594 -.13658 (147*2π)/5864 weeks
148-.15689 -.13063 (148*2π)/5864 weeks
149-.08154 -.13613 (149*2π)/5864 weeks
150-.10927 -.2733 (150*2π)/5864 weeks
151-.20425 -.19028 (151*2π)/5864 weeks
152-.31742 -.18667 (152*2π)/5864 weeks
153-.26335 -.07393 (153*2π)/5864 weeks
154-.16867 -.01394 (154*2π)/5864 weeks
155-.14924 -.07987 (155*2π)/5864 weeks
156-.18786 -.1024 (156*2π)/5864 weeks
157-.20616 -.03511 (157*2π)/5864 weeks
158-.08257 -.04087 (158*2π)/5864 weeks
159-.1478 -.12977 (159*2π)/5864 weeks
160-.1278 -.11004 (160*2π)/5864 weeks
161-.15953 -.05867 (161*2π)/5864 weeks
162-.11964 -.17572 (162*2π)/5864 weeks
163-.148 -.09948 (163*2π)/5864 weeks
164-.14725 -.13248 (164*2π)/5864 weeks
165-.14217 -.13033 (165*2π)/5864 weeks
166-.19296 -.15797 (166*2π)/5864 weeks
167-.23135 -.10493 (167*2π)/5864 weeks
168-.17741 .0218 (168*2π)/5863 weeks
169-.1797 -.05485 (169*2π)/5863 weeks
170-.08509 -.02919 (170*2π)/5863 weeks
171-.11481 -.02925 (171*2π)/5863 weeks
172-.12633 -.04341 (172*2π)/5863 weeks
173-.06151 -.0373 (173*2π)/5863 weeks
174-.03032 -.10504 (174*2π)/5863 weeks
175-.14833 -.11893 (175*2π)/5863 weeks
176-.08686 -.10065 (176*2π)/5863 weeks
177-.15045 -.08107 (177*2π)/5863 weeks
178-.09113 -.03481 (178*2π)/5863 weeks
179-.05258 -.03152 (179*2π)/5863 weeks
180-.08541 -.03149 (180*2π)/5863 weeks
181-.0819 -.04342 (181*2π)/5863 weeks
182-.01013 -.05492 (182*2π)/5863 weeks
183-.05341 -.07215 (183*2π)/5863 weeks
184-.03656 -.05261 (184*2π)/5863 weeks
185-.00238 -.08506 (185*2π)/5863 weeks
186.00062 -.09154 (186*2π)/5863 weeks
187-.02473 -.11879 (187*2π)/5863 weeks
188-.04486 -.14406 (188*2π)/5863 weeks
189.028 -.18701 (189*2π)/5863 weeks
190-.05771 -.29723 (190*2π)/5863 weeks
191-.07223 -.27314 (191*2π)/5863 weeks
192-.11004 -.26173 (192*2π)/5863 weeks
193-.17206 -.22121 (193*2π)/5863 weeks
194-.15216 -.16961 (194*2π)/5863 weeks
195-.12847 -.21677 (195*2π)/5863 weeks
196-.20935 -.20731 (196*2π)/5863 weeks
197-.16205 -.15147 (197*2π)/5863 weeks
198-.15135 -.13286 (198*2π)/5863 weeks
199-.08492 -.17462 (199*2π)/5863 weeks
200-.17529 -.18171 (200*2π)/5863 weeks
201-.17525 -.16639 (201*2π)/5863 weeks
202-.14789 -.12162 (202*2π)/5863 weeks
203-.18204 -.17616 (203*2π)/5863 weeks
204-.23229 -.15028 (204*2π)/5863 weeks
205-.27679 -.12914 (205*2π)/5863 weeks
206-.20258 -.11529 (206*2π)/5863 weeks
207-.28012 -.09141 (207*2π)/5863 weeks
208-.3109 -.13541 (208*2π)/5863 weeks
209-.21064 -.06558 (209*2π)/5863 weeks
210-.18692 -.07325 (210*2π)/5863 weeks
211-.115 -.0918 (211*2π)/5863 weeks
212-.18292 -.12278 (212*2π)/5863 weeks
213-.21509 -.07797 (213*2π)/5863 weeks
214-.1484 -.00842 (214*2π)/5863 weeks
215-.21153 -.08567 (215*2π)/5863 weeks
216-.15808 -.01682 (216*2π)/5863 weeks
217-.17977 -.00427 (217*2π)/5863 weeks
218-.15344 -.10539 (218*2π)/5863 weeks
219-.25381 -.06599 (219*2π)/5863 weeks
220-.25646 .01558 (220*2π)/5863 weeks
221-.17305 -.05822 (221*2π)/5863 weeks
222-.19312 -.05698 (222*2π)/5863 weeks
223-.16636 -.03355 (223*2π)/5863 weeks
224-.1486 -.01142 (224*2π)/5863 weeks
225-.15033 -.10836 (225*2π)/5863 weeks
226-.21115 -.05007 (226*2π)/5863 weeks
227-.16925 .00154 (227*2π)/5863 weeks
228-.09569 -.09512 (228*2π)/5863 weeks
229-.19999 -.06549 (229*2π)/5863 weeks
230-.20009 .00261 (230*2π)/5863 weeks
231-.17833 .03466 (231*2π)/5863 weeks
232-.18427 -.04437 (232*2π)/5863 weeks
233-.2158 -.04855 (233*2π)/5863 weeks
234-.20052 .02145 (234*2π)/5863 weeks
235-.16695 -.02531 (235*2π)/5862 weeks
236-.13004 -.08708 (236*2π)/5862 weeks
237-.16097 -.01599 (237*2π)/5862 weeks
238-.16348 -.02131 (238*2π)/5862 weeks
239-.08833 -.02651 (239*2π)/5862 weeks
240-.15503 .01415 (240*2π)/5862 weeks
241-.11827 -.0354 (241*2π)/5862 weeks
242-.16234 -.02872 (242*2π)/5862 weeks
243-.15035 -.04369 (243*2π)/5862 weeks
244-.13266 .0318 (244*2π)/5862 weeks
245-.09919 .00015 (245*2π)/5862 weeks
246-.12343 -.0902 (246*2π)/5862 weeks
247-.21413 -.03172 (247*2π)/5862 weeks
248-.25461 .0028 (248*2π)/5862 weeks
249-.18749 .02772 (249*2π)/5862 weeks
250-.15311 .00386 (250*2π)/5862 weeks
251-.1338 .0294 (251*2π)/5862 weeks
252-.1547 .036 (252*2π)/5862 weeks
253-.14242 .02369 (253*2π)/5862 weeks
254-.11271 .0345 (254*2π)/5862 weeks
255-.1732 -.07114 (255*2π)/5862 weeks
256-.16322 .00919 (256*2π)/5862 weeks
257-.17394 .02124 (257*2π)/5862 weeks
258-.10641 .04312 (258*2π)/5862 weeks
259-.13256 .00299 (259*2π)/5862 weeks
260-.11487 -.00059 (260*2π)/5862 weeks
261-.11265 .03474 (261*2π)/5862 weeks
262-.1201 -.00669 (262*2π)/5862 weeks
263-.1149 -.05105 (263*2π)/5862 weeks
264-.19489 .02286 (264*2π)/5862 weeks
265-.1246 .03574 (265*2π)/5862 weeks
266-.13883 -.01708 (266*2π)/5862 weeks
267-.17606 .00195 (267*2π)/5862 weeks
268-.12213 -.02656 (268*2π)/5862 weeks
269-.12482 -.02885 (269*2π)/5862 weeks
270-.13731 .00188 (270*2π)/5862 weeks
271-.07527 .01979 (271*2π)/5862 weeks
272-.10448 -.00019 (272*2π)/5862 weeks
273-.13202 .02744 (273*2π)/5862 weeks
274-.19737 -.00289 (274*2π)/5862 weeks
275-.16229 .02216 (275*2π)/5862 weeks
276-.13774 .04268 (276*2π)/5862 weeks
277-.10989 -.01177 (277*2π)/5862 weeks
278-.11054 .00422 (278*2π)/5862 weeks
279-.09728 -.03025 (279*2π)/5862 weeks
280-.18262 -.02404 (280*2π)/5862 weeks
281-.1466 .04984 (281*2π)/5862 weeks
282-.10721 .05099 (282*2π)/5862 weeks
283-.11132 -.02042 (283*2π)/5862 weeks
284-.20737 -.02404 (284*2π)/5862 weeks
285-.16059 .09762 (285*2π)/5862 weeks
286-.08628 .09411 (286*2π)/5862 weeks
287-.07717 -.07172 (287*2π)/5862 weeks
288-.14506 -.02224 (288*2π)/5862 weeks
289-.19186 .0937 (289*2π)/5862 weeks
290-.05935 .14778 (290*2π)/5862 weeks
291-.05657 .03455 (291*2π)/5862 weeks
292-.05583 .03605 (292*2π)/5862 weeks
293-.13217   (293*2π)/5862 weeks
294-.05583 -.03605 (294*2π)/5862 weeks
295-.05657 -.03455 (295*2π)/5862 weeks
296-.05935 -.14778 (296*2π)/5862 weeks
297-.19186 -.0937 (297*2π)/5862 weeks
298-.14506 .02224 (298*2π)/5862 weeks
299-.07717 .07172 (299*2π)/5862 weeks
300-.08628 -.09411 (300*2π)/5862 weeks
301-.16059 -.09762 (301*2π)/5862 weeks
302-.20737 .02404 (302*2π)/5862 weeks
303-.11132 .02042 (303*2π)/5862 weeks
304-.10721 -.05099 (304*2π)/5862 weeks
305-.1466 -.04984 (305*2π)/5862 weeks
306-.18262 .02404 (306*2π)/5862 weeks
307-.09728 .03025 (307*2π)/5862 weeks
308-.11054 -.00422 (308*2π)/5862 weeks
309-.10989 .01177 (309*2π)/5862 weeks
310-.13774 -.04268 (310*2π)/5862 weeks
311-.16229 -.02216 (311*2π)/5862 weeks
312-.19737 .00289 (312*2π)/5862 weeks
313-.13202 -.02744 (313*2π)/5862 weeks
314-.10448 .00019 (314*2π)/5862 weeks
315-.07527 -.01979 (315*2π)/5862 weeks
316-.13731 -.00188 (316*2π)/5862 weeks
317-.12482 .02885 (317*2π)/5862 weeks
318-.12213 .02656 (318*2π)/5862 weeks
319-.17606 -.00195 (319*2π)/5862 weeks
320-.13883 .01708 (320*2π)/5862 weeks
321-.1246 -.03574 (321*2π)/5862 weeks
322-.19489 -.02286 (322*2π)/5862 weeks
323-.1149 .05105 (323*2π)/5862 weeks
324-.1201 .00669 (324*2π)/5862 weeks
325-.11265 -.03474 (325*2π)/5862 weeks
326-.11487 .00059 (326*2π)/5862 weeks
327-.13256 -.00299 (327*2π)/5862 weeks
328-.10641 -.04312 (328*2π)/5862 weeks
329-.17394 -.02124 (329*2π)/5862 weeks
330-.16322 -.00919 (330*2π)/5862 weeks
331-.1732 .07114 (331*2π)/5862 weeks
332-.11271 -.0345 (332*2π)/5862 weeks
333-.14242 -.02369 (333*2π)/5862 weeks
334-.1547 -.036 (334*2π)/5862 weeks
335-.1338 -.0294 (335*2π)/5862 weeks
336-.15311 -.00386 (336*2π)/5862 weeks
337-.18749 -.02772 (337*2π)/5862 weeks
338-.25461 -.0028 (338*2π)/5862 weeks
339-.21413 .03172 (339*2π)/5862 weeks
340-.12343 .0902 (340*2π)/5862 weeks
341-.09919 -.00015 (341*2π)/5862 weeks
342-.13266 -.0318 (342*2π)/5862 weeks
343-.15035 .04369 (343*2π)/5862 weeks
344-.16234 .02872 (344*2π)/5862 weeks
345-.11827 .0354 (345*2π)/5862 weeks
346-.15503 -.01415 (346*2π)/5862 weeks
347-.08833 .02651 (347*2π)/5862 weeks
348-.16348 .02131 (348*2π)/5862 weeks
349-.16097 .01599 (349*2π)/5862 weeks
350-.13004 .08708 (350*2π)/5862 weeks
351-.16695 .02531 (351*2π)/5862 weeks
352-.20052 -.02145 (352*2π)/5862 weeks
353-.2158 .04855 (353*2π)/5862 weeks
354-.18427 .04437 (354*2π)/5862 weeks
355-.17833 -.03466 (355*2π)/5862 weeks
356-.20009 -.00261 (356*2π)/5862 weeks
357-.19999 .06549 (357*2π)/5862 weeks
358-.09569 .09512 (358*2π)/5862 weeks
359-.16925 -.00154 (359*2π)/5862 weeks
360-.21115 .05007 (360*2π)/5862 weeks
361-.15033 .10836 (361*2π)/5862 weeks
362-.1486 .01142 (362*2π)/5862 weeks
363-.16636 .03355 (363*2π)/5862 weeks
364-.19312 .05698 (364*2π)/5862 weeks
365-.17305 .05822 (365*2π)/5862 weeks
366-.25646 -.01558 (366*2π)/5862 weeks
367-.25381 .06599 (367*2π)/5862 weeks
368-.15344 .10539 (368*2π)/5862 weeks
369-.17977 .00427 (369*2π)/5862 weeks
370-.15808 .01682 (370*2π)/5862 weeks
371-.21153 .08567 (371*2π)/5862 weeks
372-.1484 .00842 (372*2π)/5862 weeks
373-.21509 .07797 (373*2π)/5862 weeks
374-.18292 .12278 (374*2π)/5862 weeks
375-.115 .0918 (375*2π)/5862 weeks
376-.18692 .07325 (376*2π)/5862 weeks
377-.21064 .06558 (377*2π)/5862 weeks
378-.3109 .13541 (378*2π)/5862 weeks
379-.28012 .09141 (379*2π)/5862 weeks
380-.20258 .11529 (380*2π)/5862 weeks
381-.27679 .12914 (381*2π)/5862 weeks
382-.23229 .15028 (382*2π)/5862 weeks
383-.18204 .17616 (383*2π)/5862 weeks
384-.14789 .12162 (384*2π)/5862 weeks
385-.17525 .16639 (385*2π)/5862 weeks
386-.17529 .18171 (386*2π)/5862 weeks
387-.08492 .17462 (387*2π)/5862 weeks
388-.15135 .13286 (388*2π)/5862 weeks
389-.16205 .15147 (389*2π)/5862 weeks
390-.20935 .20731 (390*2π)/5862 weeks
391-.12847 .21677 (391*2π)/5861 weeks
392-.15216 .16961 (392*2π)/5861 weeks
393-.17206 .22121 (393*2π)/5861 weeks
394-.11004 .26173 (394*2π)/5861 weeks
395-.07223 .27314 (395*2π)/5861 weeks
396-.05771 .29723 (396*2π)/5861 weeks
397.028 .18701 (397*2π)/5861 weeks
398-.04486 .14406 (398*2π)/5861 weeks
399-.02473 .11879 (399*2π)/5861 weeks
400.00062 .09154 (400*2π)/5861 weeks
401-.00238 .08506 (401*2π)/5861 weeks
402-.03656 .05261 (402*2π)/5861 weeks
403-.05341 .07215 (403*2π)/5861 weeks
404-.01013 .05492 (404*2π)/5861 weeks
405-.0819 .04342 (405*2π)/5861 weeks
406-.08541 .03149 (406*2π)/5861 weeks
407-.05258 .03152 (407*2π)/5861 weeks
408-.09113 .03481 (408*2π)/5861 weeks
409-.15045 .08107 (409*2π)/5861 weeks
410-.08686 .10065 (410*2π)/5861 weeks
411-.14833 .11893 (411*2π)/5861 weeks
412-.03032 .10504 (412*2π)/5861 weeks
413-.06151 .0373 (413*2π)/5861 weeks
414-.12633 .04341 (414*2π)/5861 weeks
415-.11481 .02925 (415*2π)/5861 weeks
416-.08509 .02919 (416*2π)/5861 weeks
417-.1797 .05485 (417*2π)/5861 weeks
418-.17741 -.0218 (418*2π)/5861 weeks
419-.23135 .10493 (419*2π)/5861 weeks
420-.19296 .15797 (420*2π)/5861 weeks
421-.14217 .13033 (421*2π)/5861 weeks
422-.14725 .13248 (422*2π)/5861 weeks
423-.148 .09948 (423*2π)/5861 weeks
424-.11964 .17572 (424*2π)/5861 weeks
425-.15953 .05867 (425*2π)/5861 weeks
426-.1278 .11004 (426*2π)/5861 weeks
427-.1478 .12977 (427*2π)/5861 weeks
428-.08257 .04087 (428*2π)/5861 weeks
429-.20616 .03511 (429*2π)/5861 weeks
430-.18786 .1024 (430*2π)/5861 weeks
431-.14924 .07987 (431*2π)/5861 weeks
432-.16867 .01394 (432*2π)/5861 weeks
433-.26335 .07393 (433*2π)/5861 weeks
434-.31742 .18667 (434*2π)/5861 weeks
435-.20425 .19028 (435*2π)/5861 weeks
436-.10927 .2733 (436*2π)/5861 weeks
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