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# Fourier Analysis of UKPIX (ULTRASHORT JAPAN PROFUND ULTRASHORT JAPAN PROFUND INVESTOR CLASS)

UKPIX (ULTRASHORT JAPAN PROFUND ULTRASHORT JAPAN PROFUND INVESTOR CLASS) appears to have interesting cyclic behaviour every 48 weeks (10.1917*cosine), 45 weeks (6.3458*sine), and 53 weeks (4.6516*sine).

UKPIX (ULTRASHORT JAPAN PROFUND ULTRASHORT JAPAN PROFUND INVESTOR CLASS) has an average price of 84.85 (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 3/28/2006 to 4/16/2018 for UKPIX (ULTRASHORT JAPAN PROFUND ULTRASHORT JAPAN PROFUND INVESTOR CLASS), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
084.84756   0
1-17.98657 86.78925 (1*2π)/630630 weeks
2-21.62918 17.23536 (2*2π)/630315 weeks
3-27.09343 -6.88825 (3*2π)/630210 weeks
46.96483 -10.21929 (4*2π)/630158 weeks
52.35516 3.10617 (5*2π)/630126 weeks
6-1.84145 7.82621 (6*2π)/630105 weeks
7-7.78882 -7.00553 (7*2π)/63090 weeks
82.62325 -8.20499 (8*2π)/63079 weeks
98.31855 .18787 (9*2π)/63070 weeks
10-1.69726 2.71975 (10*2π)/63063 weeks
11.93421 -2.27778 (11*2π)/63057 weeks
12.22814 -4.65163 (12*2π)/63053 weeks
1310.19165 -2.0841 (13*2π)/63048 weeks
144.03275 6.34584 (14*2π)/63045 weeks
15-1.19976 4.84331 (15*2π)/63042 weeks
16-2.51679 -.70475 (16*2π)/63039 weeks
17.61308 .49537 (17*2π)/63037 weeks
18-1.50939 -.03968 (18*2π)/63035 weeks
191.38288 -1.34573 (19*2π)/63033 weeks
20-.66578 3.11809 (20*2π)/63032 weeks
21-3.0444 .13504 (21*2π)/63030 weeks
22-4.20503 -1.49879 (22*2π)/63029 weeks
23-.87964 -5.6305 (23*2π)/63027 weeks
242.47558 -3.02876 (24*2π)/63026 weeks
252.22388 -.56163 (25*2π)/63025 weeks
26-.48633 1.29776 (26*2π)/63024 weeks
27-.56004 -1.95433 (27*2π)/63023 weeks
28.98152 -1.64883 (28*2π)/63023 weeks
292.97067 .58086 (29*2π)/63022 weeks
30-1.65709 3.123 (30*2π)/63021 weeks
31-1.8259 -.95915 (31*2π)/63020 weeks
32-.79747 -1.26189 (32*2π)/63020 weeks
333.17896 -.72459 (33*2π)/63019 weeks
34-.49153 4.3395 (34*2π)/63019 weeks
35-4.26493 .79705 (35*2π)/63018 weeks
36-3.21243 -3.02019 (36*2π)/63018 weeks
372.5689 -2.74084 (37*2π)/63017 weeks
381.72536 2.54341 (38*2π)/63017 weeks
39-3.20902 1.72129 (39*2π)/63016 weeks
40-2.52023 -1.96773 (40*2π)/63016 weeks
41-.07693 -3.18066 (41*2π)/63015 weeks
422.50723 -1.2158 (42*2π)/63015 weeks
431.60869 .79925 (43*2π)/63015 weeks
44.10372 1.7103 (44*2π)/63014 weeks
45-.82139 -.06508 (45*2π)/63014 weeks
46.87898 -.52097 (46*2π)/63014 weeks
471.39432 1.49046 (47*2π)/63013 weeks
48-1.04443 1.58819 (48*2π)/63013 weeks
49-.44031 .15915 (49*2π)/63013 weeks
50-.99143 .19859 (50*2π)/63013 weeks
51-.14493 -.18357 (51*2π)/63012 weeks
52.03068 -.34638 (52*2π)/63012 weeks
53.65834 .13522 (53*2π)/63012 weeks
54-.83289 1.30546 (54*2π)/63012 weeks
55-.70294 -1.12676 (55*2π)/63011 weeks
56-.10571 -.49368 (56*2π)/63011 weeks
57.25902 -1.02876 (57*2π)/63011 weeks
581.19628 -.45661 (58*2π)/63011 weeks
59.26672 .69614 (59*2π)/63011 weeks
60.05345 -1.19872 (60*2π)/63011 weeks
611.35201 -.55934 (61*2π)/63010 weeks
622.12037 .40521 (62*2π)/63010 weeks
63.36478 2.76348 (63*2π)/63010 weeks
64-2.68397 .92013 (64*2π)/63010 weeks
65-.52692 -2.10703 (65*2π)/63010 weeks
661.45861 -.69202 (66*2π)/63010 weeks
67.77442 1.54161 (67*2π)/6309 weeks
68-1.4014 .71728 (68*2π)/6309 weeks
69-1.4563 -.37622 (69*2π)/6309 weeks
70-.19764 -1.66075 (70*2π)/6309 weeks
71-.06637 -.12489 (71*2π)/6309 weeks
72.06211 -.95617 (72*2π)/6309 weeks
73-.06382 -.72678 (73*2π)/6309 weeks
74.58009 -.89756 (74*2π)/6309 weeks
75.81012 -.33464 (75*2π)/6308 weeks
76.93235 .16692 (76*2π)/6308 weeks
77.30224 1.25922 (77*2π)/6308 weeks
78-.94207 .24483 (78*2π)/6308 weeks
79-.30721 -.3996 (79*2π)/6308 weeks
80.46172 -.6093 (80*2π)/6308 weeks
81.93898 .77449 (81*2π)/6308 weeks
82-.04028 1.98344 (82*2π)/6308 weeks
83-2.40918 .91156 (83*2π)/6308 weeks
84-1.64145 -1.56989 (84*2π)/6308 weeks
85.61941 -1.38182 (85*2π)/6307 weeks
86.97085 .64208 (86*2π)/6307 weeks
87-.91382 .71094 (87*2π)/6307 weeks
88-1.28228 -.10544 (88*2π)/6307 weeks
89-.52352 -2.14201 (89*2π)/6307 weeks
902.3251 -.78868 (90*2π)/6307 weeks
91.74002 1.7277 (91*2π)/6307 weeks
92-.35326 1.02138 (92*2π)/6307 weeks
93-1.17309 -.1896 (93*2π)/6307 weeks
94.68436 -.99426 (94*2π)/6307 weeks
951.1847 .60599 (95*2π)/6307 weeks
96-.00274 1.73916 (96*2π)/6307 weeks
97-1.65539 .63376 (97*2π)/6306 weeks
98-.8016 -1.2241 (98*2π)/6306 weeks
991.30246 -.54979 (99*2π)/6306 weeks
100.69729 1.24259 (100*2π)/6306 weeks
101-1.32949 .98471 (101*2π)/6306 weeks
102-1.36655 -.90747 (102*2π)/6306 weeks
103.3395 -1.39319 (103*2π)/6306 weeks
104.99487 -.2629 (104*2π)/6306 weeks
105.61984 .46182 (105*2π)/6306 weeks
106-.32735 .09816 (106*2π)/6306 weeks
107.38664 -.58409 (107*2π)/6306 weeks
108.03513 .01871 (108*2π)/6306 weeks
109.74229 -.40244 (109*2π)/6306 weeks
110.77157 .59367 (110*2π)/6306 weeks
111-.06478 .8434 (111*2π)/6306 weeks
112-.71902 -.09832 (112*2π)/6306 weeks
113.10802 -.39128 (113*2π)/6306 weeks
114.30824 .03552 (114*2π)/6306 weeks
115-.09823 .447 (115*2π)/6305 weeks
116-.58865 .18082 (116*2π)/6305 weeks
117-.51678 -.67319 (117*2π)/6305 weeks
118.18937 -.91175 (118*2π)/6305 weeks
119.74139 .04802 (119*2π)/6305 weeks
120-.19607 .60601 (120*2π)/6305 weeks
121-.97434 -.17736 (121*2π)/6305 weeks
122-.07116 -1.2007 (122*2π)/6305 weeks
123.64568 -.88845 (123*2π)/6305 weeks
1241.41141 .13868 (124*2π)/6305 weeks
125-.168 1.02501 (125*2π)/6305 weeks
126-.3573 .29629 (126*2π)/6305 weeks
127-.26399 -.50715 (127*2π)/6305 weeks
128.6963 -.05031 (128*2π)/6305 weeks
129.35109 .73585 (129*2π)/6305 weeks
130-.61611 1.11089 (130*2π)/6305 weeks
131-1.20251 -.30376 (131*2π)/6305 weeks
132-.14132 -.59551 (132*2π)/6305 weeks
133.47135 -.21931 (133*2π)/6305 weeks
134-.08587 .57868 (134*2π)/6305 weeks
135-.74662 .2708 (135*2π)/6305 weeks
136-.69578 -.88913 (136*2π)/6305 weeks
137.62438 -.6481 (137*2π)/6305 weeks
138.80289 .04444 (138*2π)/6305 weeks
139.00461 .84568 (139*2π)/6305 weeks
140-.67937 -.05301 (140*2π)/6305 weeks
141.24322 -.90093 (141*2π)/6304 weeks
1421.26129 .11239 (142*2π)/6304 weeks
143.47256 1.34678 (143*2π)/6304 weeks
144-.77324 .84048 (144*2π)/6304 weeks
145-.92742 -.17862 (145*2π)/6304 weeks
146.01445 -.2723 (146*2π)/6304 weeks
147-.01632 -.1145 (147*2π)/6304 weeks
148.277 .12353 (148*2π)/6304 weeks
149-.56474 .20992 (149*2π)/6304 weeks
150-.05176 -.36295 (150*2π)/6304 weeks
151-.1893 .00823 (151*2π)/6304 weeks
152-.28208 -.32899 (152*2π)/6304 weeks
153.11499 -.57514 (153*2π)/6304 weeks
154.4399 -.54795 (154*2π)/6304 weeks
155.73636 -.17312 (155*2π)/6304 weeks
156.25932 .4553 (156*2π)/6304 weeks
157-.03265 -.14524 (157*2π)/6304 weeks
158.6388 .15931 (158*2π)/6304 weeks
159-.04831 .6766 (159*2π)/6304 weeks
160-.48991 -.08176 (160*2π)/6304 weeks
161-.14578 -.11526 (161*2π)/6304 weeks
162.15073 -.15638 (162*2π)/6304 weeks
163-.24456 .50515 (163*2π)/6304 weeks
164-.5963 -.20787 (164*2π)/6304 weeks
165-.0685 -.45865 (165*2π)/6304 weeks
166-.26379 -.35514 (166*2π)/6304 weeks
167.07645 -.59631 (167*2π)/6304 weeks
168.29598 -.18453 (168*2π)/6304 weeks
169.12283 -.05915 (169*2π)/6304 weeks
170-.08228 -.1348 (170*2π)/6304 weeks
171.27897 -.35536 (171*2π)/6304 weeks
172.38614 -.00766 (172*2π)/6304 weeks
173.38228 .37074 (173*2π)/6304 weeks
174-.35465 .39288 (174*2π)/6304 weeks
175-.09663 -.14054 (175*2π)/6304 weeks
176.01421 .17205 (176*2π)/6304 weeks
177-.09166 .16977 (177*2π)/6304 weeks
178-.40791 .15684 (178*2π)/6304 weeks
179-.15862 -.06238 (179*2π)/6304 weeks
180-.21348 .12323 (180*2π)/6304 weeks
181-.55661 -.27751 (181*2π)/6303 weeks
182.3133 -.40602 (182*2π)/6303 weeks
183-.15261 .09973 (183*2π)/6303 weeks
184-.01345 -.36386 (184*2π)/6303 weeks
185.28038 -.0074 (185*2π)/6303 weeks
186.06539 .15555 (186*2π)/6303 weeks
187-.12121 -.15472 (187*2π)/6303 weeks
188.62053 .14011 (188*2π)/6303 weeks
189-.19543 .36669 (189*2π)/6303 weeks
190-.09132 -.00284 (190*2π)/6303 weeks
191.03393 -.23133 (191*2π)/6303 weeks
192.49589 .27982 (192*2π)/6303 weeks
193-.21269 .55185 (193*2π)/6303 weeks
194-.33336 .23675 (194*2π)/6303 weeks
195-.28362 -.22919 (195*2π)/6303 weeks
196.03069 -.07176 (196*2π)/6303 weeks
197-.02945 .08035 (197*2π)/6303 weeks
198-.41227 .03262 (198*2π)/6303 weeks
199-.34207 -.36972 (199*2π)/6303 weeks
200.02592 -.74625 (200*2π)/6303 weeks
201.78271 -.37105 (201*2π)/6303 weeks
202.58788 .3396 (202*2π)/6303 weeks
203-.04947 .46564 (203*2π)/6303 weeks
204-.32481 -.01563 (204*2π)/6303 weeks
205.03832 -.27604 (205*2π)/6303 weeks
206.50892 -.00365 (206*2π)/6303 weeks
207.12892 .51381 (207*2π)/6303 weeks
208-.25933 .27541 (208*2π)/6303 weeks
209-.26466 -.08499 (209*2π)/6303 weeks
210-.08903 -.14388 (210*2π)/6303 weeks
211.19944 .11854 (211*2π)/6303 weeks
212-.18733 .32691 (212*2π)/6303 weeks
213-.49352 .06692 (213*2π)/6303 weeks
214-.41542 -.33175 (214*2π)/6303 weeks
215.0535 -.43754 (215*2π)/6303 weeks
216.20488 .02252 (216*2π)/6303 weeks
217-.24054 -.12188 (217*2π)/6303 weeks
218.06389 -.15791 (218*2π)/6303 weeks
219.11467 -.36307 (219*2π)/6303 weeks
220.55423 .02258 (220*2π)/6303 weeks
221.3915 .43008 (221*2π)/6303 weeks
222-.26055 .86008 (222*2π)/6303 weeks
223-.88212 -.03971 (223*2π)/6303 weeks
224.25137 -.71703 (224*2π)/6303 weeks
225.41917 .30914 (225*2π)/6303 weeks
226.0411 .47732 (226*2π)/6303 weeks
227-.54378 .46588 (227*2π)/6303 weeks
228-.34384 -.24699 (228*2π)/6303 weeks
229-.10386 .00037 (229*2π)/6303 weeks
230.00833 -.19937 (230*2π)/6303 weeks
231-.09933 .3163 (231*2π)/6303 weeks
232-.71185 -.38306 (232*2π)/6303 weeks
233.23184 -.77068 (233*2π)/6303 weeks
234.83895 -.50359 (234*2π)/6303 weeks
235.90983 .74685 (235*2π)/6303 weeks
236-.28013 .8235 (236*2π)/6303 weeks
237-.6277 -.21573 (237*2π)/6303 weeks
238.3993 -.65521 (238*2π)/6303 weeks
239.90165 .31461 (239*2π)/6303 weeks
240-.02587 .98932 (240*2π)/6303 weeks
241-.65382 .35891 (241*2π)/6303 weeks
242-.48358 -.47408 (242*2π)/6303 weeks
243.33912 -.39234 (243*2π)/6303 weeks
244.49277 .37891 (244*2π)/6303 weeks
245-.69313 .56081 (245*2π)/6303 weeks
246-.76039 -.62627 (246*2π)/6303 weeks
247.34712 -1.02881 (247*2π)/6303 weeks
248.91944 -.0691 (248*2π)/6303 weeks
249.13521 .41023 (249*2π)/6303 weeks
250-.21705 .06876 (250*2π)/6303 weeks
251-.15356 -.26107 (251*2π)/6303 weeks
252.12721 -.57724 (252*2π)/6303 weeks
253.82593 -.14192 (253*2π)/6302 weeks
254.45187 .65387 (254*2π)/6302 weeks
255-.20033 .51659 (255*2π)/6302 weeks
256-.44281 .17125 (256*2π)/6302 weeks
257-.39338 -.19647 (257*2π)/6302 weeks
258.06346 -.32641 (258*2π)/6302 weeks
259-.02726 .30428 (259*2π)/6302 weeks
260-.44658 .03902 (260*2π)/6302 weeks
261-.61839 -.33499 (261*2π)/6302 weeks
262.12067 -.8813 (262*2π)/6302 weeks
263.44692 -.26645 (263*2π)/6302 weeks
264.38954 .25021 (264*2π)/6302 weeks
265-.36965 .41939 (265*2π)/6302 weeks
266-.44772 -.54306 (266*2π)/6302 weeks
267.44385 -.53505 (267*2π)/6302 weeks
268.77003 .21013 (268*2π)/6302 weeks
269.04354 .82617 (269*2π)/6302 weeks
270-.77117 .35001 (270*2π)/6302 weeks
271-.4189 -.59025 (271*2π)/6302 weeks
272.41353 -.22964 (272*2π)/6302 weeks
273.44625 .36061 (273*2π)/6302 weeks
274-.44822 .93764 (274*2π)/6302 weeks
275-.92785 -.28815 (275*2π)/6302 weeks
276-.2017 -.66427 (276*2π)/6302 weeks
277.44266 -.45977 (277*2π)/6302 weeks
278.33544 .54646 (278*2π)/6302 weeks
279-.41973 .07951 (279*2π)/6302 weeks
280-.18856 -.25936 (280*2π)/6302 weeks
281.24994 -.51418 (281*2π)/6302 weeks
282.65003 .26503 (282*2π)/6302 weeks
283-.03573 .65841 (283*2π)/6302 weeks
284-.5119 .08411 (284*2π)/6302 weeks
285-.21411 -.44858 (285*2π)/6302 weeks
286.52898 -.53252 (286*2π)/6302 weeks
287.9056 .55646 (287*2π)/6302 weeks
288-.19921 .91422 (288*2π)/6302 weeks
289-.96357 .28811 (289*2π)/6302 weeks
290-.36669 -.72913 (290*2π)/6302 weeks
291.31463 -.57977 (291*2π)/6302 weeks
292.72389 .1872 (292*2π)/6302 weeks
293.02179 .84215 (293*2π)/6302 weeks
294-1.26121 .07696 (294*2π)/6302 weeks
295-.22795 -1.23412 (295*2π)/6302 weeks
296.77233 -.56568 (296*2π)/6302 weeks
297.73391 .27978 (297*2π)/6302 weeks
298-.3648 .65126 (298*2π)/6302 weeks
299-.7145 -.54688 (299*2π)/6302 weeks
300.59827 -.98951 (300*2π)/6302 weeks
3011.07646 .36173 (301*2π)/6302 weeks
302-.09538 .92211 (302*2π)/6302 weeks
303-.62394 .00577 (303*2π)/6302 weeks
304-.28891 -.5102 (304*2π)/6302 weeks
305.60782 -.34082 (305*2π)/6302 weeks
306.5452 .59556 (306*2π)/6302 weeks
307-.69994 1.09967 (307*2π)/6302 weeks
308-1.3972 -.55854 (308*2π)/6302 weeks
309-.00911 -1.12199 (309*2π)/6302 weeks
310.78264 -.32937 (310*2π)/6302 weeks
311.22978 .63116 (311*2π)/6302 weeks
312-.81825 .10063 (312*2π)/6302 weeks
313-.49455 -.66436 (313*2π)/6302 weeks
314.34719 -1.0257 (314*2π)/6302 weeks
3151.36169   (315*2π)/6302 weeks
316.34719 1.0257 (316*2π)/6302 weeks
317-.49455 .66436 (317*2π)/6302 weeks
318-.81825 -.10063 (318*2π)/6302 weeks
319.22978 -.63116 (319*2π)/6302 weeks
320.78264 .32937 (320*2π)/6302 weeks
321-.00911 1.12199 (321*2π)/6302 weeks
322-1.3972 .55854 (322*2π)/6302 weeks
323-.69994 -1.09967 (323*2π)/6302 weeks
324.5452 -.59556 (324*2π)/6302 weeks
325.60782 .34082 (325*2π)/6302 weeks
326-.28891 .5102 (326*2π)/6302 weeks
327-.62394 -.00577 (327*2π)/6302 weeks
328-.09538 -.92211 (328*2π)/6302 weeks
3291.07646 -.36173 (329*2π)/6302 weeks
330.59827 .98951 (330*2π)/6302 weeks
331-.7145 .54688 (331*2π)/6302 weeks
332-.3648 -.65126 (332*2π)/6302 weeks
333.73391 -.27978 (333*2π)/6302 weeks
334.77233 .56568 (334*2π)/6302 weeks
335-.22795 1.23412 (335*2π)/6302 weeks
336-1.26121 -.07696 (336*2π)/6302 weeks
337.02179 -.84215 (337*2π)/6302 weeks
338.72389 -.1872 (338*2π)/6302 weeks
339.31463 .57977 (339*2π)/6302 weeks
340-.36669 .72913 (340*2π)/6302 weeks
341-.96357 -.28811 (341*2π)/6302 weeks
342-.19921 -.91422 (342*2π)/6302 weeks
343.9056 -.55646 (343*2π)/6302 weeks
344.52898 .53252 (344*2π)/6302 weeks
345-.21411 .44858 (345*2π)/6302 weeks
346-.5119 -.08411 (346*2π)/6302 weeks
347-.03573 -.65841 (347*2π)/6302 weeks
348.65003 -.26503 (348*2π)/6302 weeks
349.24994 .51418 (349*2π)/6302 weeks
350-.18856 .25936 (350*2π)/6302 weeks
351-.41973 -.07951 (351*2π)/6302 weeks
352.33544 -.54646 (352*2π)/6302 weeks
353.44266 .45977 (353*2π)/6302 weeks
354-.2017 .66427 (354*2π)/6302 weeks
355-.92785 .28815 (355*2π)/6302 weeks
356-.44822 -.93764 (356*2π)/6302 weeks
357.44625 -.36061 (357*2π)/6302 weeks
358.41353 .22964 (358*2π)/6302 weeks
359-.4189 .59025 (359*2π)/6302 weeks
360-.77117 -.35001 (360*2π)/6302 weeks
361.04354 -.82617 (361*2π)/6302 weeks
362.77003 -.21013 (362*2π)/6302 weeks
363.44385 .53505 (363*2π)/6302 weeks
364-.44772 .54306 (364*2π)/6302 weeks
365-.36965 -.41939 (365*2π)/6302 weeks
366.38954 -.25021 (366*2π)/6302 weeks
367.44692 .26645 (367*2π)/6302 weeks
368.12067 .8813 (368*2π)/6302 weeks
369-.61839 .33499 (369*2π)/6302 weeks
370-.44658 -.03902 (370*2π)/6302 weeks
371-.02726 -.30428 (371*2π)/6302 weeks
372.06346 .32641 (372*2π)/6302 weeks
373-.39338 .19647 (373*2π)/6302 weeks
374-.44281 -.17125 (374*2π)/6302 weeks
375-.20033 -.51659 (375*2π)/6302 weeks
376.45187 -.65387 (376*2π)/6302 weeks
377.82593 .14192 (377*2π)/6302 weeks
378.12721 .57724 (378*2π)/6302 weeks
379-.15356 .26107 (379*2π)/6302 weeks
380-.21705 -.06876 (380*2π)/6302 weeks
381.13521 -.41023 (381*2π)/6302 weeks
382.91944 .0691 (382*2π)/6302 weeks
383.34712 1.02881 (383*2π)/6302 weeks
384-.76039 .62627 (384*2π)/6302 weeks
385-.69313 -.56081 (385*2π)/6302 weeks
386.49277 -.37891 (386*2π)/6302 weeks
387.33912 .39234 (387*2π)/6302 weeks
388-.48358 .47408 (388*2π)/6302 weeks
389-.65382 -.35891 (389*2π)/6302 weeks
390-.02587 -.98932 (390*2π)/6302 weeks
391.90165 -.31461 (391*2π)/6302 weeks
392.3993 .65521 (392*2π)/6302 weeks
393-.6277 .21573 (393*2π)/6302 weeks
394-.28013 -.8235 (394*2π)/6302 weeks
395.90983 -.74685 (395*2π)/6302 weeks
396.83895 .50359 (396*2π)/6302 weeks
397.23184 .77068 (397*2π)/6302 weeks
398-.71185 .38306 (398*2π)/6302 weeks
399-.09933 -.3163 (399*2π)/6302 weeks
400.00833 .19937 (400*2π)/6302 weeks
401-.10386 -.00037 (401*2π)/6302 weeks
402-.34384 .24699 (402*2π)/6302 weeks
403-.54378 -.46588 (403*2π)/6302 weeks
404.0411 -.47732 (404*2π)/6302 weeks
405.41917 -.30914 (405*2π)/6302 weeks
406.25137 .71703 (406*2π)/6302 weeks
407-.88212 .03971 (407*2π)/6302 weeks
408-.26055 -.86008 (408*2π)/6302 weeks
409.3915 -.43008 (409*2π)/6302 weeks
410.55423 -.02258 (410*2π)/6302 weeks
411.11467 .36307 (411*2π)/6302 weeks
412.06389 .15791 (412*2π)/6302 weeks
413-.24054 .12188 (413*2π)/6302 weeks
414.20488 -.02252 (414*2π)/6302 weeks
415.0535 .43754 (415*2π)/6302 weeks
416-.41542 .33175 (416*2π)/6302 weeks
417-.49352 -.06692 (417*2π)/6302 weeks
418-.18733 -.32691 (418*2π)/6302 weeks
419.19944 -.11854 (419*2π)/6302 weeks
420-.08903 .14388 (420*2π)/6302 weeks
421-.26466 .08499 (421*2π)/6301 weeks
422-.25933 -.27541 (422*2π)/6301 weeks
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