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# Fourier Analysis of UJPIX (ULTRAJAPAN PROFUND ULTRAJAPAN PROFUND INVESTOR CLASS)

UJPIX (ULTRAJAPAN PROFUND ULTRAJAPAN PROFUND INVESTOR CLASS) appears to have interesting cyclic behaviour every 63 weeks (2.3355*cosine), 68 weeks (1.4224*sine), and 56 weeks (.8499*cosine).

UJPIX (ULTRAJAPAN PROFUND ULTRAJAPAN PROFUND INVESTOR CLASS) has an average price of 18.94 (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 2/7/2000 to 3/12/2018 for UJPIX (ULTRAJAPAN PROFUND ULTRAJAPAN PROFUND INVESTOR CLASS), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
018.94202   0
1.06149 7.86053 (1*2π)/945945 weeks
21.1208 -7.86388 (2*2π)/945473 weeks
32.57723 5.38123 (3*2π)/945315 weeks
4-3.66065 1.07603 (4*2π)/945236 weeks
52.0277 .04987 (5*2π)/945189 weeks
6-2.12024 .79466 (6*2π)/945158 weeks
7-.17942 -1.75618 (7*2π)/945135 weeks
8-.42057 -2.03047 (8*2π)/945118 weeks
9.20259 -2.07809 (9*2π)/945105 weeks
10-.93198 -.05825 (10*2π)/94595 weeks
11-.54388 -.79052 (11*2π)/94586 weeks
12.65384 -1.32094 (12*2π)/94579 weeks
131.06597 -.56505 (13*2π)/94573 weeks
14.26396 -1.42245 (14*2π)/94568 weeks
152.33552 -.53022 (15*2π)/94563 weeks
16.48819 .39871 (16*2π)/94559 weeks
17.84993 -.12 (17*2π)/94556 weeks
18.73186 .86817 (18*2π)/94553 weeks
19.14341 .32054 (19*2π)/94550 weeks
20-.61518 .53017 (20*2π)/94547 weeks
21.02121 -.25634 (21*2π)/94545 weeks
22-.48068 .6158 (22*2π)/94543 weeks
23-.78997 -.58978 (23*2π)/94541 weeks
24-.25281 .03679 (24*2π)/94539 weeks
25-.17846 -.25954 (25*2π)/94538 weeks
26.04738 -.16074 (26*2π)/94536 weeks
27-.38256 -.23399 (27*2π)/94535 weeks
28-.3491 -.3475 (28*2π)/94534 weeks
29-.31745 -.29378 (29*2π)/94533 weeks
30.43164 -.39194 (30*2π)/94532 weeks
31-.08664 -.1383 (31*2π)/94530 weeks
32.25402 -.27374 (32*2π)/94530 weeks
33.12015 .12924 (33*2π)/94529 weeks
34-.1112 -.41842 (34*2π)/94528 weeks
35.03135 -.11387 (35*2π)/94527 weeks
36-.16047 .04646 (36*2π)/94526 weeks
37-.04292 .1348 (37*2π)/94526 weeks
38.06464 .11093 (38*2π)/94525 weeks
39.26858 -.01297 (39*2π)/94524 weeks
40.194 .16328 (40*2π)/94524 weeks
41.07466 .17263 (41*2π)/94523 weeks
42.01517 .40724 (42*2π)/94523 weeks
43-.24778 .2742 (43*2π)/94522 weeks
44-.03832 .28943 (44*2π)/94521 weeks
45-.42126 .54018 (45*2π)/94521 weeks
46-.24832 -.24403 (46*2π)/94521 weeks
47.00203 .23063 (47*2π)/94520 weeks
48-.34367 -.18457 (48*2π)/94520 weeks
49.06429 -.49878 (49*2π)/94519 weeks
50-.20209 -.06966 (50*2π)/94519 weeks
51-.25449 -.18185 (51*2π)/94519 weeks
52-.07639 -.29117 (52*2π)/94518 weeks
53.06469 .05815 (53*2π)/94518 weeks
54-.03241 -.16243 (54*2π)/94518 weeks
55.44256 -.15166 (55*2π)/94517 weeks
56.02354 -.1648 (56*2π)/94517 weeks
57.21435 -.12797 (57*2π)/94517 weeks
58-.08009 .00388 (58*2π)/94516 weeks
59.33173 .19093 (59*2π)/94516 weeks
60-.05692 .19778 (60*2π)/94516 weeks
61.22019 .04576 (61*2π)/94515 weeks
62-.05851 .48651 (62*2π)/94515 weeks
63-.29475 .07185 (63*2π)/94515 weeks
64-.14417 .13972 (64*2π)/94515 weeks
65-.37049 .17506 (65*2π)/94515 weeks
66-.28877 .14336 (66*2π)/94514 weeks
67-.35786 -.08873 (67*2π)/94514 weeks
68-.22248 -.10542 (68*2π)/94514 weeks
69-.24828 -.2839 (69*2π)/94514 weeks
70.0622 -.27673 (70*2π)/94514 weeks
71.12368 -.11805 (71*2π)/94513 weeks
72-.12032 -.09287 (72*2π)/94513 weeks
73.11376 -.33049 (73*2π)/94513 weeks
74.12409 -.04847 (74*2π)/94513 weeks
75.03382 -.05296 (75*2π)/94513 weeks
76.22923 .13576 (76*2π)/94512 weeks
77.03561 .05822 (77*2π)/94512 weeks
78.26102 -.10281 (78*2π)/94512 weeks
79.03706 .28458 (79*2π)/94512 weeks
80-.15223 .14839 (80*2π)/94512 weeks
81-.01383 .28443 (81*2π)/94512 weeks
82-.07384 .02546 (82*2π)/94512 weeks
83-.10841 -.00995 (83*2π)/94511 weeks
84-.15039 .05682 (84*2π)/94511 weeks
85-.06575 -.10722 (85*2π)/94511 weeks
86-.06455 .00415 (86*2π)/94511 weeks
87-.03771 -.16338 (87*2π)/94511 weeks
88.06377 .06816 (88*2π)/94511 weeks
89-.0463 -.04448 (89*2π)/94511 weeks
90.03298 -.24496 (90*2π)/94511 weeks
91-.04716 -.12531 (91*2π)/94510 weeks
92.05197 -.19642 (92*2π)/94510 weeks
93.11044 -.1303 (93*2π)/94510 weeks
94.02216 -.2405 (94*2π)/94510 weeks
95.22737 -.04315 (95*2π)/94510 weeks
96.07364 .03981 (96*2π)/94510 weeks
97.38357 .1011 (97*2π)/94510 weeks
98.02234 .15297 (98*2π)/94510 weeks
99.06246 .05021 (99*2π)/94510 weeks
100.01366 .16347 (100*2π)/9459 weeks
101-.01735 .06439 (101*2π)/9459 weeks
102-.09031 -.00527 (102*2π)/9459 weeks
103.05671 -.00619 (103*2π)/9459 weeks
104.02681 .12784 (104*2π)/9459 weeks
105-.06565 -.0922 (105*2π)/9459 weeks
106-.01653 -.00998 (106*2π)/9459 weeks
107-.14187 .12686 (107*2π)/9459 weeks
108.02538 -.11042 (108*2π)/9459 weeks
109-.03397 .00156 (109*2π)/9459 weeks
110-.14651 -.22451 (110*2π)/9459 weeks
111.12004 -.10838 (111*2π)/9459 weeks
112-.01739 -.0904 (112*2π)/9458 weeks
113.09818 -.18662 (113*2π)/9458 weeks
114-.00244 .0185 (114*2π)/9458 weeks
115.00162 -.10247 (115*2π)/9458 weeks
116.15904 .01592 (116*2π)/9458 weeks
117.04321 -.03905 (117*2π)/9458 weeks
118.06945 .01959 (118*2π)/9458 weeks
119.0613 -.01174 (119*2π)/9458 weeks
120.0772 .03343 (120*2π)/9458 weeks
121-.06043 -.01951 (121*2π)/9458 weeks
122.08696 .12818 (122*2π)/9458 weeks
123-.13101 .19196 (123*2π)/9458 weeks
124.01883 -.05479 (124*2π)/9458 weeks
125-.10695 .08224 (125*2π)/9458 weeks
126-.12013 -.13894 (126*2π)/9458 weeks
127-.08082 -.04502 (127*2π)/9457 weeks
128-.07397 -.09094 (128*2π)/9457 weeks
129-.0186 -.11033 (129*2π)/9457 weeks
130.09821 -.08685 (130*2π)/9457 weeks
131-.05343 -.09509 (131*2π)/9457 weeks
132.01985 -.14307 (132*2π)/9457 weeks
133.07443 .01735 (133*2π)/9457 weeks
134.04149 -.10226 (134*2π)/9457 weeks
135.05993 .01296 (135*2π)/9457 weeks
136-.03578 -.10861 (136*2π)/9457 weeks
137.03246 .06075 (137*2π)/9457 weeks
138.03249 .0132 (138*2π)/9457 weeks
139.14577 .04298 (139*2π)/9457 weeks
140-.05202 .06734 (140*2π)/9457 weeks
141.08495 -.02831 (141*2π)/9457 weeks
142.07417 .08828 (142*2π)/9457 weeks
143-.0214 .03805 (143*2π)/9457 weeks
144-.01911 .04479 (144*2π)/9457 weeks
145-.07119 .12062 (145*2π)/9457 weeks
146-.18125 -.02908 (146*2π)/9456 weeks
147-.0666 -.09842 (147*2π)/9456 weeks
148-.1279 -.00953 (148*2π)/9456 weeks
149-.05386 .00454 (149*2π)/9456 weeks
150-.07097 -.05042 (150*2π)/9456 weeks
151.08349 -.07711 (151*2π)/9456 weeks
152-.06183 -.00164 (152*2π)/9456 weeks
153-.03457 -.0828 (153*2π)/9456 weeks
154-.08223 -.05579 (154*2π)/9456 weeks
155-.03582 -.14141 (155*2π)/9456 weeks
156-.00362 -.0835 (156*2π)/9456 weeks
157.02612 -.06168 (157*2π)/9456 weeks
158.03757 .02062 (158*2π)/9456 weeks
159.0679 .03379 (159*2π)/9456 weeks
160.07969 .08639 (160*2π)/9456 weeks
161.07586 .07543 (161*2π)/9456 weeks
162-.00049 .01301 (162*2π)/9456 weeks
163-.05218 .05309 (163*2π)/9456 weeks
164-.04544 .05527 (164*2π)/9456 weeks
165-.11303 .05586 (165*2π)/9456 weeks
166-.0553 .01666 (166*2π)/9456 weeks
167-.08291 .05625 (167*2π)/9456 weeks
168-.05158 .01643 (168*2π)/9456 weeks
169-.12684 -.03471 (169*2π)/9456 weeks
170-.07917 -.07855 (170*2π)/9456 weeks
171-.07347 -.06056 (171*2π)/9456 weeks
172.00634 -.16245 (172*2π)/9455 weeks
173.07908 -.12481 (173*2π)/9455 weeks
174.02843 -.03998 (174*2π)/9455 weeks
175.05162 .00597 (175*2π)/9455 weeks
176.05276 .10443 (176*2π)/9455 weeks
177-.04159 .03315 (177*2π)/9455 weeks
178.05992 -.03989 (178*2π)/9455 weeks
179.06264 .04614 (179*2π)/9455 weeks
180.08922 -.03381 (180*2π)/9455 weeks
181.04903 .07723 (181*2π)/9455 weeks
182-.01276 .02411 (182*2π)/9455 weeks
183-.01687 .15602 (183*2π)/9455 weeks
184-.10671 .06924 (184*2π)/9455 weeks
185-.00486 .09533 (185*2π)/9455 weeks
186-.13845 .09124 (186*2π)/9455 weeks
187.01541 -.05745 (187*2π)/9455 weeks
188-.03594 -.00572 (188*2π)/9455 weeks
189-.1414 -.09321 (189*2π)/9455 weeks
190-.04025 -.09068 (190*2π)/9455 weeks
191-.02583 .01332 (191*2π)/9455 weeks
192-.08804 -.07298 (192*2π)/9455 weeks
193.07238 -.10209 (193*2π)/9455 weeks
194.01957 -.0087 (194*2π)/9455 weeks
195.02021 -.09891 (195*2π)/9455 weeks
196.06631 .0007 (196*2π)/9455 weeks
197.0508 -.00459 (197*2π)/9455 weeks
198.01439 -.02126 (198*2π)/9455 weeks
199.01634 .01336 (199*2π)/9455 weeks
200-.01153 .07738 (200*2π)/9455 weeks
201.02742 .01881 (201*2π)/9455 weeks
202.01115 .06116 (202*2π)/9455 weeks
203-.0396 .00472 (203*2π)/9455 weeks
204-.01294 .08451 (204*2π)/9455 weeks
205-.09841 -.01939 (205*2π)/9455 weeks
206-.04648 -.06196 (206*2π)/9455 weeks
207-.07829 .00451 (207*2π)/9455 weeks
208-.06431 -.01164 (208*2π)/9455 weeks
209-.0089 -.08492 (209*2π)/9455 weeks
210-.00323 -.03567 (210*2π)/9455 weeks
211-.0529 -.07212 (211*2π)/9454 weeks
212.02387 -.00427 (212*2π)/9454 weeks
213-.02686 -.06521 (213*2π)/9454 weeks
214.01229 -.05272 (214*2π)/9454 weeks
215-.03859 -.05274 (215*2π)/9454 weeks
216.00629 .04791 (216*2π)/9454 weeks
217-.07522 -.03841 (217*2π)/9454 weeks
218.14633 -.09258 (218*2π)/9454 weeks
219.05772 .03608 (219*2π)/9454 weeks
220.00363 -.08227 (220*2π)/9454 weeks
221.07741 -.00352 (221*2π)/9454 weeks
222-.00934 .03746 (222*2π)/9454 weeks
223.00271 .07055 (223*2π)/9454 weeks
224.04213 .01034 (224*2π)/9454 weeks
225.00598 .08673 (225*2π)/9454 weeks
226-.08813 -.00283 (226*2π)/9454 weeks
227.10509 -.04781 (227*2π)/9454 weeks
228.01458 .10515 (228*2π)/9454 weeks
229-.04502 -.0657 (229*2π)/9454 weeks
230-.01505 -.00395 (230*2π)/9454 weeks
231-.13462 -.05481 (231*2π)/9454 weeks
232-.01258 -.10815 (232*2π)/9454 weeks
233-.01774 -.00661 (233*2π)/9454 weeks
234.0078 -.01611 (234*2π)/9454 weeks
235-.01146 -.05826 (235*2π)/9454 weeks
236.06813 -.07169 (236*2π)/9454 weeks
237.08629 -.04119 (237*2π)/9454 weeks
238-.00692 -.01557 (238*2π)/9454 weeks
239.05435 -.06098 (239*2π)/9454 weeks
240.00426 .05599 (240*2π)/9454 weeks
241.02826 .00301 (241*2π)/9454 weeks
242.07915 .05957 (242*2π)/9454 weeks
243.01004 .06344 (243*2π)/9454 weeks
244.01296 .06224 (244*2π)/9454 weeks
245.0545 .04085 (245*2π)/9454 weeks
246.01088 .0287 (246*2π)/9454 weeks
247-.0051 -.01341 (247*2π)/9454 weeks
248-.07292 .00627 (248*2π)/9454 weeks
249-.08493 .00756 (249*2π)/9454 weeks
250-.0354 -.01138 (250*2π)/9454 weeks
251-.06725 -.00191 (251*2π)/9454 weeks
252-.00163 -.07481 (252*2π)/9454 weeks
253-.00086 .00147 (253*2π)/9454 weeks
254-.06419 -.05002 (254*2π)/9454 weeks
255.01135 -.09348 (255*2π)/9454 weeks
256.05358 -.03963 (256*2π)/9454 weeks
257.04417 -.03471 (257*2π)/9454 weeks
258.07082 -.01833 (258*2π)/9454 weeks
259.00289 .01574 (259*2π)/9454 weeks
260.00481 -.07043 (260*2π)/9454 weeks
261.02625 .00862 (261*2π)/9454 weeks
262.02248 -.01835 (262*2π)/9454 weeks
263.04499 .02623 (263*2π)/9454 weeks
264.0396 .04392 (264*2π)/9454 weeks
265-.0165 .06025 (265*2π)/9454 weeks
266-.08438 .01292 (266*2π)/9454 weeks
267-.03814 .0143 (267*2π)/9454 weeks
268-.0429 .06781 (268*2π)/9454 weeks
269-.08277 -.0274 (269*2π)/9454 weeks
270-.02306 -.0648 (270*2π)/9454 weeks
271-.02707 -.05085 (271*2π)/9453 weeks
272-.02892 -.01817 (272*2π)/9453 weeks
273.01938 -.05915 (273*2π)/9453 weeks
274-.07086 -.0265 (274*2π)/9453 weeks
275-.04153 -.10634 (275*2π)/9453 weeks
276.03893 -.06824 (276*2π)/9453 weeks
277.01956 -.01069 (277*2π)/9453 weeks
278.04402 -.07825 (278*2π)/9453 weeks
279.04298 .02157 (279*2π)/9453 weeks
280.01239 .00464 (280*2π)/9453 weeks
281.03493 .05028 (281*2π)/9453 weeks
282.04216 .03206 (282*2π)/9453 weeks
283.02127 .00285 (283*2π)/9453 weeks
284-.00433 .02197 (284*2π)/9453 weeks
285-.00937 -.02747 (285*2π)/9453 weeks
286.00457 .01109 (286*2π)/9453 weeks
287-.05661 -.0313 (287*2π)/9453 weeks
288.01555 -.01338 (288*2π)/9453 weeks
289-.06402 .03784 (289*2π)/9453 weeks
290-.05937 -.00649 (290*2π)/9453 weeks
291-.00334 -.00593 (291*2π)/9453 weeks
292-.04333 -.04065 (292*2π)/9453 weeks
293-.02888 -.08581 (293*2π)/9453 weeks
294-.00537 -.06642 (294*2π)/9453 weeks
295.02413 -.07577 (295*2π)/9453 weeks
296.02536 -.04925 (296*2π)/9453 weeks
297.03448 -.05951 (297*2π)/9453 weeks
298.0575 .03997 (298*2π)/9453 weeks
299-.03704 .00918 (299*2π)/9453 weeks
300.04113 -.00716 (300*2π)/9453 weeks
301-.05844 .05997 (301*2π)/9453 weeks
302-.0041 -.07776 (302*2π)/9453 weeks
303.05711 .02939 (303*2π)/9453 weeks
304-.02512 -.01512 (304*2π)/9453 weeks
305.02941 .01136 (305*2π)/9453 weeks
306-.03699 .03573 (306*2π)/9453 weeks
307-.02866 .03903 (307*2π)/9453 weeks
308-.07328 .05552 (308*2π)/9453 weeks
309-.03508 .05592 (309*2π)/9453 weeks
310-.0997 .05313 (310*2π)/9453 weeks
311-.08754 -.02373 (311*2π)/9453 weeks
312-.0112 -.01501 (312*2π)/9453 weeks
313-.03912 -.01571 (313*2π)/9453 weeks
314-.0432 -.08404 (314*2π)/9453 weeks
315-.0257 -.05966 (315*2π)/9453 weeks
316-.01959 -.02228 (316*2π)/9453 weeks
317.02691 -.01073 (317*2π)/9453 weeks
318.01478 -.02404 (318*2π)/9453 weeks
319.06405 -.04759 (319*2π)/9453 weeks
320.01845 .05255 (320*2π)/9453 weeks
321-.02979 -.02334 (321*2π)/9453 weeks
322.01894 .04624 (322*2π)/9453 weeks
323-.06828 .04398 (323*2π)/9453 weeks
324.03196 -.03174 (324*2π)/9453 weeks
325.05286 .04689 (325*2π)/9453 weeks
326-.05239 .00326 (326*2π)/9453 weeks
327-.023 .03231 (327*2π)/9453 weeks
328-.03561 .04041 (328*2π)/9453 weeks
329-.02651 .02401 (329*2π)/9453 weeks
330-.0281 .00586 (330*2π)/9453 weeks
331.0043 .00642 (331*2π)/9453 weeks
332-.03529 .0097 (332*2π)/9453 weeks
333-.06246 -.06515 (333*2π)/9453 weeks
334-.02504 .03481 (334*2π)/9453 weeks
335-.11144 -.00856 (335*2π)/9453 weeks
336.03335 -.00259 (336*2π)/9453 weeks
337-.01926 -.03447 (337*2π)/9453 weeks
338.02344 -.0679 (338*2π)/9453 weeks
339.02955 -.04323 (339*2π)/9453 weeks
340.05946 -.04995 (340*2π)/9453 weeks
341.02196 .02233 (341*2π)/9453 weeks
342.0159 -.01461 (342*2π)/9453 weeks
343.09758 .06263 (343*2π)/9453 weeks
344-.04554 .10297 (344*2π)/9453 weeks
345.03902 .0194 (345*2π)/9453 weeks
346-.00412 .12415 (346*2π)/9453 weeks
347-.07124 .01065 (347*2π)/9453 weeks
348.00818 .01139 (348*2π)/9453 weeks
349-.10933 .041 (349*2π)/9453 weeks
350-.04953 -.00414 (350*2π)/9453 weeks
351-.04804 .00934 (351*2π)/9453 weeks
352-.03795 -.06176 (352*2π)/9453 weeks
353-.06888 -.01026 (353*2π)/9453 weeks
354-.04807 -.08188 (354*2π)/9453 weeks
355.04017 -.01101 (355*2π)/9453 weeks
356.00082 -.02305 (356*2π)/9453 weeks
357.03273 -.00025 (357*2π)/9453 weeks
358.0561 .01322 (358*2π)/9453 weeks
359.02203 .04434 (359*2π)/9453 weeks
360-.00132 -.03022 (360*2π)/9453 weeks
361.01633 .01615 (361*2π)/9453 weeks
362-.01079 .0293 (362*2π)/9453 weeks
363.024 -.00849 (363*2π)/9453 weeks
364.02883 .01373 (364*2π)/9453 weeks
365-.03146 .04447 (365*2π)/9453 weeks
366-.01228 .00194 (366*2π)/9453 weeks
367.04526 .04842 (367*2π)/9453 weeks
368-.01752 -.00895 (368*2π)/9453 weeks
369.00073 .02821 (369*2π)/9453 weeks
370-.06942 .00243 (370*2π)/9453 weeks
371-.01928 .03549 (371*2π)/9453 weeks
372-.06517 .00759 (372*2π)/9453 weeks
373.02135 .03284 (373*2π)/9453 weeks
374-.05341 .02457 (374*2π)/9453 weeks
375-.02895 -.03204 (375*2π)/9453 weeks
376-.03396 -.0276 (376*2π)/9453 weeks
377-.00422 -.03871 (377*2π)/9453 weeks
378.00505 -.00442 (378*2π)/9453 weeks
379.02429 -.0806 (379*2π)/9452 weeks
380.0533 .0075 (380*2π)/9452 weeks
381-.01125 -.04734 (381*2π)/9452 weeks
382.0488 -.00444 (382*2π)/9452 weeks
383.0165 .02799 (383*2π)/9452 weeks
384.03864 .02825 (384*2π)/9452 weeks
385-.003 .05654 (385*2π)/9452 weeks
386.00121 .01243 (386*2π)/9452 weeks
387.01034 .07533 (387*2π)/9452 weeks
388-.02423 .02429 (388*2π)/9452 weeks
389.01855 .0072 (389*2π)/9452 weeks
390-.03181 .07987 (390*2π)/9452 weeks
391-.08707 -.02434 (391*2π)/9452 weeks
392.00469 -.03306 (392*2π)/9452 weeks
393-.0823 .03959 (393*2π)/9452 weeks
394-.04249 -.01332 (394*2π)/9452 weeks
395-.02358 .01778 (395*2π)/9452 weeks
396-.03439 -.07293 (396*2π)/9452 weeks
397.01431 -.0677 (397*2π)/9452 weeks
398.01192 -.06851 (398*2π)/9452 weeks
399.05397 -.00949 (399*2π)/9452 weeks
400.00052 -.03996 (400*2π)/9452 weeks
401.05844 -.0475 (401*2π)/9452 weeks
402.04014 .04445 (402*2π)/9452 weeks
403-.00795 .03558 (403*2π)/9452 weeks
404.0257 -.00418 (404*2π)/9452 weeks
405.0436 .06242 (405*2π)/9452 weeks
406-.02272 .03802 (406*2π)/9452 weeks
407.03695 .01796 (407*2π)/9452 weeks
408-.00516 .05841 (408*2π)/9452 weeks
409-.02222 .02411 (409*2π)/9452 weeks
410-.00252 .05036 (410*2π)/9452 weeks
411-.0201 .03575 (411*2π)/9452 weeks
412-.07893 -.00601 (412*2π)/9452 weeks
413-.05742 -.01142 (413*2π)/9452 weeks
414-.06549 .01068 (414*2π)/9452 weeks
415-.02985 .00552 (415*2π)/9452 weeks
416-.05373 .00447 (416*2π)/9452 weeks
417-.00835 -.10317 (417*2π)/9452 weeks
418.03465 -.052 (418*2π)/9452 weeks
419-.00128 -.04315 (419*2π)/9452 weeks
420.04292 -.03696 (420*2π)/9452 weeks
421.02375 .01668 (421*2π)/9452 weeks
422.07147 -.01106 (422*2π)/9452 weeks
423.11974 .06455 (423*2π)/9452 weeks
424.01336 .06267 (424*2π)/9452 weeks
425.05938 .01356 (425*2π)/9452 weeks
426-.00753 .09386 (426*2π)/9452 weeks
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