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Fourier Analysis of RDS


RDS appears to have interesting cyclic behaviour every 56 weeks (9.7693*sine), 60 weeks (7.3595*cosine), and 64 weeks (7.3545*cosine).

RDS has an average price of 65.07 (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 1/3/2000 to 1/9/2017 for RDS, this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
065.07079   0 
164.16549 -79.64952 (1*2π)/838838 weeks
2-17.34097 -65.03772 (2*2π)/838419 weeks
3-28.60755 -5.51369 (3*2π)/838279 weeks
42.24839 11.57491 (4*2π)/838210 weeks
515.61966 -2.99073 (5*2π)/838168 weeks
69.89371 -14.83836 (6*2π)/838140 weeks
7-1.45101 -17.72637 (7*2π)/838120 weeks
8-8.00789 -6.81137 (8*2π)/838105 weeks
9-2.71806 .90525 (9*2π)/83893 weeks
102.08683 -3.02998 (10*2π)/83884 weeks
11-3.93958 -5.6702 (11*2π)/83876 weeks
12-3.15368 3.64519 (12*2π)/83870 weeks
137.35446 2.15039 (13*2π)/83864 weeks
147.35954 -7.34375 (14*2π)/83860 weeks
15.18953 -9.76926 (15*2π)/83856 weeks
16-3.11471 -5.16072 (16*2π)/83852 weeks
17-1.36464 -3.99772 (17*2π)/83849 weeks
18-2.55613 -3.70137 (18*2π)/83847 weeks
19-1.91584 -2.84757 (19*2π)/83844 weeks
20-2.79428 -1.68276 (20*2π)/83842 weeks
21-.27335 .51839 (21*2π)/83840 weeks
222.24113 -1.32106 (22*2π)/83838 weeks
23.76829 -3.26497 (23*2π)/83836 weeks
24-3.15702 -1.24279 (24*2π)/83835 weeks
25-.14244 3.5159 (25*2π)/83834 weeks
264.20507 .91624 (26*2π)/83832 weeks
273.67339 -1.33316 (27*2π)/83831 weeks
282.5355 -2.10321 (28*2π)/83830 weeks
293.52555 -1.81864 (29*2π)/83829 weeks
303.87445 -5.01108 (30*2π)/83828 weeks
311.09507 -6.42621 (31*2π)/83827 weeks
32-2.04411 -6.18525 (32*2π)/83826 weeks
33-4.37682 -2.52062 (33*2π)/83825 weeks
34-2.13431 -.05849 (34*2π)/83825 weeks
35-.92458 -.56566 (35*2π)/83824 weeks
36-1.1349 -1.44671 (36*2π)/83823 weeks
37-2.10938 -.28779 (37*2π)/83823 weeks
38.09064 .35568 (38*2π)/83822 weeks
39.32612 -1.04818 (39*2π)/83821 weeks
40-.11468 -1.17479 (40*2π)/83821 weeks
41-.36827 -.6747 (41*2π)/83820 weeks
421.10016 -.14157 (42*2π)/83820 weeks
431.98867 -1.66239 (43*2π)/83819 weeks
441.64428 -2.56778 (44*2π)/83819 weeks
45.55074 -3.56703 (45*2π)/83819 weeks
46-.41731 -3.07584 (46*2π)/83818 weeks
47-1.146 -3.31555 (47*2π)/83818 weeks
48-2.55676 -2.0316 (48*2π)/83817 weeks
49-2.33763 -.53791 (49*2π)/83817 weeks
50-1.41485 .64478 (50*2π)/83817 weeks
51-.07508 .35492 (51*2π)/83816 weeks
52-.35863 -.01438 (52*2π)/83816 weeks
53.02507 .01732 (53*2π)/83816 weeks
54.29271 .05837 (54*2π)/83816 weeks
551.28162 -.35684 (55*2π)/83815 weeks
56.69033 -1.24535 (56*2π)/83815 weeks
57.57993 -.4039 (57*2π)/83815 weeks
581.67611 -.29209 (58*2π)/83814 weeks
592.56559 -1.86251 (59*2π)/83814 weeks
601.14039 -3.61698 (60*2π)/83814 weeks
61-.48697 -2.82914 (61*2π)/83814 weeks
62-.56633 -2.34574 (62*2π)/83814 weeks
63-.98991 -2.2015 (63*2π)/83813 weeks
64-1.39115 -1.78975 (64*2π)/83813 weeks
65-1.83305 -.7559 (65*2π)/83813 weeks
66-1.03631 .36861 (66*2π)/83813 weeks
67.52208 .52165 (67*2π)/83813 weeks
681.45158 -.89003 (68*2π)/83812 weeks
69-.13518 -1.78041 (69*2π)/83812 weeks
70-.31619 -.24041 (70*2π)/83812 weeks
711.37749 -.38973 (71*2π)/83812 weeks
721.30644 -1.91156 (72*2π)/83812 weeks
73-.17856 -2.2261 (73*2π)/83811 weeks
74-.34187 -1.21753 (74*2π)/83811 weeks
75.25782 -1.8297 (75*2π)/83811 weeks
76-.74972 -2.23237 (76*2π)/83811 weeks
77-1.61293 -2.33676 (77*2π)/83811 weeks
78-2.93057 -1.27919 (78*2π)/83811 weeks
79-2.34249 .74046 (79*2π)/83811 weeks
80-.96972 1.20329 (80*2π)/83810 weeks
81-.38473 .16812 (81*2π)/83810 weeks
82-1.35884 .67181 (82*2π)/83810 weeks
83.57983 2.15119 (83*2π)/83810 weeks
842.07261 .00266 (84*2π)/83810 weeks
85.97852 -1.2444 (85*2π)/83810 weeks
86.00446 -.72989 (86*2π)/83810 weeks
871.09361 .1421 (87*2π)/83810 weeks
881.60359 -1.2996 (88*2π)/83810 weeks
89.97527 -1.72173 (89*2π)/8389 weeks
90.30375 -2.56886 (90*2π)/8389 weeks
91-1.14303 -1.35854 (91*2π)/8389 weeks
92-.05574 -.59229 (92*2π)/8389 weeks
93.11272 -1.36906 (93*2π)/8389 weeks
94-1.28758 -2.02565 (94*2π)/8389 weeks
95-2.42141 .71795 (95*2π)/8389 weeks
961.01368 1.56955 (96*2π)/8389 weeks
971.32641 -.99244 (97*2π)/8389 weeks
98.22095 -1.54027 (98*2π)/8389 weeks
99-.72805 -.89033 (99*2π)/8388 weeks
100.37225 -.51803 (100*2π)/8388 weeks
101-.00812 -1.58057 (101*2π)/8388 weeks
102-.04466 -1.53117 (102*2π)/8388 weeks
103-1.65366 -2.14614 (103*2π)/8388 weeks
104-1.77518 .32145 (104*2π)/8388 weeks
105.28376 -.01776 (105*2π)/8388 weeks
106.25473 -1.62472 (106*2π)/8388 weeks
107-2.16495 -2.04366 (107*2π)/8388 weeks
108-2.20095 1.2298 (108*2π)/8388 weeks
109.45253 .46197 (109*2π)/8388 weeks
110-.45217 -.45316 (110*2π)/8388 weeks
111-.64485 -.18028 (111*2π)/8388 weeks
112-.68396 .87092 (112*2π)/8387 weeks
113.85885 .49134 (113*2π)/8387 weeks
114.73538 -.08501 (114*2π)/8387 weeks
1151.00953 -1.23051 (115*2π)/8387 weeks
116-1.47462 -1.05216 (116*2π)/8387 weeks
117-.13827 1.31944 (117*2π)/8387 weeks
1181.3874 -.03376 (118*2π)/8387 weeks
119.88837 -1.58415 (119*2π)/8387 weeks
120-1.18925 -1.09604 (120*2π)/8387 weeks
121.56969 .77864 (121*2π)/8387 weeks
1221.13611 -1.72659 (122*2π)/8387 weeks
123-.37037 -1.77023 (123*2π)/8387 weeks
124-1.15754 -1.61209 (124*2π)/8387 weeks
125-1.33844 -.01625 (125*2π)/8387 weeks
126-.2976 -.01626 (126*2π)/8387 weeks
127.35633 -.01112 (127*2π)/8387 weeks
128.17054 -1.74099 (128*2π)/8387 weeks
129-1.72072 -.08611 (129*2π)/8386 weeks
130.75564 .63166 (130*2π)/8386 weeks
1311.00019 -1.3734 (131*2π)/8386 weeks
132-.52305 -2.27751 (132*2π)/8386 weeks
133-2.05136 -.39392 (133*2π)/8386 weeks
134.25806 .279 (134*2π)/8386 weeks
135-.32362 -1.22348 (135*2π)/8386 weeks
136-.55368 -.89647 (136*2π)/8386 weeks
137-1.57396 -1.1297 (137*2π)/8386 weeks
138-1.52713 .43253 (138*2π)/8386 weeks
139-.81107 .61596 (139*2π)/8386 weeks
140.26469 .44223 (140*2π)/8386 weeks
141-1.03299 -.6855 (141*2π)/8386 weeks
142-.9978 1.94804 (142*2π)/8386 weeks
1431.66201 1.11654 (143*2π)/8386 weeks
1441.43984 -.53926 (144*2π)/8386 weeks
145.19737 -1.33512 (145*2π)/8386 weeks
146-.16806 .09636 (146*2π)/8386 weeks
147.91114 -.76462 (147*2π)/8386 weeks
148-.32075 -.73898 (148*2π)/8386 weeks
149.15103 -.78287 (149*2π)/8386 weeks
150-.98383 -.52267 (150*2π)/8386 weeks
151-.27989 .52845 (151*2π)/8386 weeks
152.40461 .37152 (152*2π)/8386 weeks
1531.01534 -.84379 (153*2π)/8385 weeks
154-.91916 -.81195 (154*2π)/8385 weeks
155.4582 .96081 (155*2π)/8385 weeks
1561.51598 -.75529 (156*2π)/8385 weeks
157.75178 -1.62745 (157*2π)/8385 weeks
158-.40619 -1.76982 (158*2π)/8385 weeks
159-.06836 -.94664 (159*2π)/8385 weeks
160-.39309 -1.89424 (160*2π)/8385 weeks
161-1.03197 -1.209 (161*2π)/8385 weeks
162-1.3417 -1.66329 (162*2π)/8385 weeks
163-2.48992 -.19728 (163*2π)/8385 weeks
164-1.39176 1.02443 (164*2π)/8385 weeks
165-.1035 .96254 (165*2π)/8385 weeks
166-.02938 -.37237 (166*2π)/8385 weeks
167-1.08825 .57258 (167*2π)/8385 weeks
168.69154 .87739 (168*2π)/8385 weeks
169.72729 -.39014 (169*2π)/8385 weeks
170.35785 -.84961 (170*2π)/8385 weeks
171-.36569 -.68126 (171*2π)/8385 weeks
172-.14146 -.50451 (172*2π)/8385 weeks
173-.57254 -.38143 (173*2π)/8385 weeks
174.0212 -.12433 (174*2π)/8385 weeks
175-.65842 -.9534 (175*2π)/8385 weeks
176-1.31224 .34512 (176*2π)/8385 weeks
177-.42303 1.12028 (177*2π)/8385 weeks
178.60154 .80517 (178*2π)/8385 weeks
179.38141 .06914 (179*2π)/8385 weeks
180.61335 .76281 (180*2π)/8385 weeks
1811.66622 .00124 (181*2π)/8385 weeks
1821.40323 -.9055 (182*2π)/8385 weeks
1831.1925 -1.55084 (183*2π)/8385 weeks
184.39256 -2.07826 (184*2π)/8385 weeks
185-.51327 -2.02568 (185*2π)/8385 weeks
186-.94543 -1.21262 (186*2π)/8385 weeks
187-.54543 -1.1163 (187*2π)/8384 weeks
188-1.28931 -1.32193 (188*2π)/8384 weeks
189-1.49434 -.16528 (189*2π)/8384 weeks
190-.71607 .29618 (190*2π)/8384 weeks
191-.26573 -.02201 (191*2π)/8384 weeks
192-.27195 -.1325 (192*2π)/8384 weeks
193-.05296 .03848 (193*2π)/8384 weeks
194.15383 -.26329 (194*2π)/8384 weeks
195.10356 -.31794 (195*2π)/8384 weeks
196.4268 -.78485 (196*2π)/8384 weeks
197-.31565 -1.54742 (197*2π)/8384 weeks
198-1.21356 -1.064 (198*2π)/8384 weeks
199-1.24707 -.32948 (199*2π)/8384 weeks
200-1.01666 -.18485 (200*2π)/8384 weeks
201-1.44064 -.02427 (201*2π)/8384 weeks
202-1.23792 1.05738 (202*2π)/8384 weeks
203-.24945 1.20801 (203*2π)/8384 weeks
204.38663 1.04289 (204*2π)/8384 weeks
205.9061 .30742 (205*2π)/8384 weeks
206.59263 -.17787 (206*2π)/8384 weeks
207.37529 -.35644 (207*2π)/8384 weeks
208.36866 -.16353 (208*2π)/8384 weeks
209.74018 -.80824 (209*2π)/8384 weeks
210-.31936 -1.16528 (210*2π)/8384 weeks
211-.46877 -.41054 (211*2π)/8384 weeks
212-.1535 -.17106 (212*2π)/8384 weeks
213.37416 -.5495 (213*2π)/8384 weeks
214-.35627 -1.0425 (214*2π)/8384 weeks
215-.45617 -.35753 (215*2π)/8384 weeks
216-.24026 -.18274 (216*2π)/8384 weeks
217.5076 -.08368 (217*2π)/8384 weeks
218.56933 -1.2684 (218*2π)/8384 weeks
219-.24068 -1.26881 (219*2π)/8384 weeks
220-.5096 -1.23087 (220*2π)/8384 weeks
221-.42949 -.9277 (221*2π)/8384 weeks
222-.61655 -1.89537 (222*2π)/8384 weeks
223-2.21495 -1.29021 (223*2π)/8384 weeks
224-2.18441 -.02101 (224*2π)/8384 weeks
225-1.57698 1.12148 (225*2π)/8384 weeks
226-.17515 .82563 (226*2π)/8384 weeks
227-.59618 .42202 (227*2π)/8384 weeks
228-.12334 .83596 (228*2π)/8384 weeks
229.23479 .80832 (229*2π)/8384 weeks
2301.4577 .09006 (230*2π)/8384 weeks
231.43394 -1.43858 (231*2π)/8384 weeks
232-.46575 -.88239 (232*2π)/8384 weeks
233-.83436 -.49768 (233*2π)/8384 weeks
234-.04031 .00488 (234*2π)/8384 weeks
235-.4653 -1.25122 (235*2π)/8384 weeks
236-1.58001 -.35301 (236*2π)/8384 weeks
237-1.62514 .52353 (237*2π)/8384 weeks
238-.58576 1.7948 (238*2π)/8384 weeks
239.60042 .6309 (239*2π)/8384 weeks
240-.0778 .71738 (240*2π)/8383 weeks
241.56051 .89885 (241*2π)/8383 weeks
2421.43563 1.08353 (242*2π)/8383 weeks
2432.83605 -.89485 (243*2π)/8383 weeks
2441.12605 -2.3681 (244*2π)/8383 weeks
245.18889 -2.45439 (245*2π)/8383 weeks
246-.97233 -1.88 (246*2π)/8383 weeks
247-.33071 -1.80645 (247*2π)/8383 weeks
248-1.87503 -2.38173 (248*2π)/8383 weeks
249-2.7444 -.98354 (249*2π)/8383 weeks
250-2.97589 .52305 (250*2π)/8383 weeks
251-.93725 1.7261 (251*2π)/8383 weeks
252-.60442 .32464 (252*2π)/8383 weeks
253-.89522 .94262 (253*2π)/8383 weeks
254-.4532 1.20471 (254*2π)/8383 weeks
2551.14141 1.65015 (255*2π)/8383 weeks
2561.91809 -.65149 (256*2π)/8383 weeks
257.76843 -1.29815 (257*2π)/8383 weeks
258.00937 -1.74276 (258*2π)/8383 weeks
259-.45828 -.83236 (259*2π)/8383 weeks
260.04165 -1.83015 (260*2π)/8383 weeks
261-1.8988 -1.95336 (261*2π)/8383 weeks
262-2.87185 -.80133 (262*2π)/8383 weeks
263-2.93675 1.53293 (263*2π)/8383 weeks
264-.58628 1.88787 (264*2π)/8383 weeks
265-.72611 1.19274 (265*2π)/8383 weeks
266-.19318 1.67195 (266*2π)/8383 weeks
267.28962 2.10742 (267*2π)/8383 weeks
2682.32478 1.65267 (268*2π)/8383 weeks
2692.25889 -.45305 (269*2π)/8383 weeks
2701.65983 -1.02461 (270*2π)/8383 weeks
271.59024 -1.37652 (271*2π)/8383 weeks
2721.12703 -.79265 (272*2π)/8383 weeks
273.95178 -2.49393 (273*2π)/8383 weeks
274-.69728 -2.61421 (274*2π)/8383 weeks
275-2.06807 -1.88035 (275*2π)/8383 weeks
276-1.73962 -.00397 (276*2π)/8383 weeks
277-.86287 -.62214 (277*2π)/8383 weeks
278-1.76787 -.24859 (278*2π)/8383 weeks
279-1.61406 .53024 (279*2π)/8383 weeks
280-.85866 1.74001 (280*2π)/8383 weeks
2811.03766 .94077 (281*2π)/8383 weeks
282.68022 -.30742 (282*2π)/8383 weeks
283.19311 -.84551 (283*2π)/8383 weeks
284-.62073 -.19725 (284*2π)/8383 weeks
285.61327 -.16476 (285*2π)/8383 weeks
286.01384 -1.59677 (286*2π)/8383 weeks
287-1.19108 -1.45094 (287*2π)/8383 weeks
288-2.13783 -.26839 (288*2π)/8383 weeks
289-.84501 .80723 (289*2π)/8383 weeks
290-.61292 -.23734 (290*2π)/8383 weeks
291-1.26198 -.02571 (291*2π)/8383 weeks
292-1.72237 .63754 (292*2π)/8383 weeks
293-.74578 2.03833 (293*2π)/8383 weeks
294.62605 1.31168 (294*2π)/8383 weeks
295.67217 .60695 (295*2π)/8383 weeks
296.16941 .16864 (296*2π)/8383 weeks
297.33172 1.10788 (297*2π)/8383 weeks
2981.70924 .27335 (298*2π)/8383 weeks
2991.15306 -1.01882 (299*2π)/8383 weeks
300.0623 -1.40344 (300*2π)/8383 weeks
301-.61403 -.3874 (301*2π)/8383 weeks
302.34494 -.22953 (302*2π)/8383 weeks
303.09203 -.93019 (303*2π)/8383 weeks
304-.47896 -1.1906 (304*2π)/8383 weeks
305-1.31039 -.55225 (305*2π)/8383 weeks
306-.63058 .2625 (306*2π)/8383 weeks
307-.21531 -.18474 (307*2π)/8383 weeks
308-.44324 -.58066 (308*2π)/8383 weeks
309-1.20463 -.19452 (309*2π)/8383 weeks
310-.47069 .8072 (310*2π)/8383 weeks
311.45501 .20322 (311*2π)/8383 weeks
312.37836 -.58221 (312*2π)/8383 weeks
313-.42231 -.84381 (313*2π)/8383 weeks
314-.51827 -.20266 (314*2π)/8383 weeks
315-.1438 -.46941 (315*2π)/8383 weeks
316-.37889 -.82895 (316*2π)/8383 weeks
317-1.18879 -.92397 (317*2π)/8383 weeks
318-1.60729 .12368 (318*2π)/8383 weeks
319-.96211 .60582 (319*2π)/8383 weeks
320-.54158 .4534 (320*2π)/8383 weeks
321-.80733 .10546 (321*2π)/8383 weeks
322-1.06134 .84916 (322*2π)/8383 weeks
323-.28009 1.25904 (323*2π)/8383 weeks
324.45085 .93278 (324*2π)/8383 weeks
325.562 .12284 (325*2π)/8383 weeks
326.04689 .21091 (326*2π)/8383 weeks
327.38187 .38519 (327*2π)/8383 weeks
328.78265 .1268 (328*2π)/8383 weeks
329.71361 -.73373 (329*2π)/8383 weeks
330-.32221 -.793 (330*2π)/8383 weeks
331-.458 -.2278 (331*2π)/8383 weeks
332-.20966 .08565 (332*2π)/8383 weeks
333.27279 -.28409 (333*2π)/8383 weeks
334-.235 -.54693 (334*2π)/8383 weeks
335-.33467 -.20732 (335*2π)/8383 weeks
336-.1713 .06945 (336*2π)/8382 weeks
337.52244 -.25938 (337*2π)/8382 weeks
338.0079 -1.1055 (338*2π)/8382 weeks
339-.59461 -.91426 (339*2π)/8382 weeks
340-.89705 -.52874 (340*2π)/8382 weeks
341-.46382 -.34687 (341*2π)/8382 weeks
342-.89927 -.90167 (342*2π)/8382 weeks
343-1.4192 -.35808 (343*2π)/8382 weeks
344-1.63906 .1435 (344*2π)/8382 weeks
345-1.13535 1.04608 (345*2π)/8382 weeks
346-.46737 .72191 (346*2π)/8382 weeks
347-.32878 .70273 (347*2π)/8382 weeks
348-.34153 .56099 (348*2π)/8382 weeks
349.12636 1.09226 (349*2π)/8382 weeks
3501.045 .12296 (350*2π)/8382 weeks
351.39303 -.65755 (351*2π)/8382 weeks
352-.28716 -.83181 (352*2π)/8382 weeks
353-.81524 -.15616 (353*2π)/8382 weeks
354-.39127 -.22155 (354*2π)/8382 weeks
355-.90885 -.1563 (355*2π)/8382 weeks
356-.93421 .10391 (356*2π)/8382 weeks
357-1.40109 .83795 (357*2π)/8382 weeks
358-.29361 1.70712 (358*2π)/8382 weeks
359.48048 1.31187 (359*2π)/8382 weeks
360.92379 .68104 (360*2π)/8382 weeks
361.4452 .51526 (361*2π)/8382 weeks
3621.49752 .88354 (362*2π)/8382 weeks
3632.00477 -.67986 (363*2π)/8382 weeks
3641.43752 -1.71276 (364*2π)/8382 weeks
365.1313 -2.34758 (365*2π)/8382 weeks
366-.62246 -1.75708 (366*2π)/8382 weeks
367-1.10438 -1.81681 (367*2π)/8382 weeks
368-1.63963 -1.2158 (368*2π)/8382 weeks
369-2.29524 -1.10005 (369*2π)/8382 weeks
370-2.87548 .69371 (370*2π)/8382 weeks
371-1.42597 1.79191 (371*2π)/8382 weeks
372-.18211 1.64619 (372*2π)/8382 weeks
373.1473 .69587 (373*2π)/8382 weeks
374-.2092 1.23211 (374*2π)/8382 weeks
3751.21349 1.11348 (375*2π)/8382 weeks
3761.39457 -.11713 (376*2π)/8382 weeks
3771.12409 -1.14894 (377*2π)/8382 weeks
378-.16146 -1.48048 (378*2π)/8382 weeks
379-.48632 -1.002 (379*2π)/8382 weeks
380-.89382 -.87387 (380*2π)/8382 weeks
381-.82389 -.97417 (381*2π)/8382 weeks
382-2.36489 -1.03148 (382*2π)/8382 weeks
383-2.7651 1.21686 (383*2π)/8382 weeks
384-1.38689 2.26547 (384*2π)/8382 weeks
385.01121 2.13087 (385*2π)/8382 weeks
386-.02185 1.51863 (386*2π)/8382 weeks
387.64212 2.422 (387*2π)/8382 weeks
3882.17854 1.52819 (388*2π)/8382 weeks
3892.67321 .33811 (389*2π)/8382 weeks
3902.37609 -1.45537 (390*2π)/8382 weeks
391.92355 -1.86931 (391*2π)/8382 weeks
392.23729 -1.73501 (392*2π)/8382 weeks
393.00843 -1.3306 (393*2π)/8382 weeks
394-.15338 -2.27569 (394*2π)/8382 weeks
395-2.22973 -1.77149 (395*2π)/8382 weeks
396-2.07336 .08438 (396*2π)/8382 weeks
397-1.15793 .66822 (397*2π)/8382 weeks
398-.60816 .10604 (398*2π)/8382 weeks
399-1.49375 .51984 (399*2π)/8382 weeks
400-.51883 1.56713 (400*2π)/8382 weeks
401.30736 1.25877 (401*2π)/8382 weeks
4021.27886 .66475 (402*2π)/8382 weeks
403.84521 -.71333 (403*2π)/8382 weeks
404.0438 -.62632 (404*2π)/8382 weeks
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