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# Fourier Analysis of UXPIX (ULTRASHORT INTERNATIONAL PROFUND ULTRASHORT INTERNATIONAL PROFUND INVESTOR CLASS)

UXPIX (ULTRASHORT INTERNATIONAL PROFUND ULTRASHORT INTERNATIONAL PROFUND INVESTOR CLASS) appears to have interesting cyclic behaviour every 45 weeks (6.2899*cosine), 49 weeks (6.2204*cosine), and 27 weeks (4.9668*cosine).

UXPIX (ULTRASHORT INTERNATIONAL PROFUND ULTRASHORT INTERNATIONAL PROFUND INVESTOR CLASS) has an average price of 76.47 (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 4/19/2006 to 5/21/2018 for UXPIX (ULTRASHORT INTERNATIONAL PROFUND ULTRASHORT INTERNATIONAL PROFUND INVESTOR CLASS), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
076.47482   0
111.68638 80.3913 (1*2π)/632632 weeks
2-34.07166 31.06087 (2*2π)/632316 weeks
3-27.42349 -5.73547 (3*2π)/632211 weeks
41.95701 -7.38194 (4*2π)/632158 weeks
51.9164 7.90839 (5*2π)/632126 weeks
6-10.33594 9.20089 (6*2π)/632105 weeks
7-16.4857 -6.51746 (7*2π)/63290 weeks
8-.71948 -16.63488 (8*2π)/63279 weeks
99.7328 -3.32681 (9*2π)/63270 weeks
101.40587 3.65436 (10*2π)/63263 weeks
11-1.46932 -3.29736 (11*2π)/63257 weeks
121.9099 -4.39215 (12*2π)/63253 weeks
136.22035 -2.6433 (13*2π)/63249 weeks
146.28992 3.37254 (14*2π)/63245 weeks
152.86485 4.23774 (15*2π)/63242 weeks
16-.07341 4.68005 (16*2π)/63240 weeks
17-.36463 2.0821 (17*2π)/63237 weeks
18-.37023 2.5773 (18*2π)/63235 weeks
19-1.36938 .85517 (19*2π)/63233 weeks
201.05298 2.45278 (20*2π)/63232 weeks
21-2.19376 4.07483 (21*2π)/63230 weeks
22-4.80035 2.02025 (22*2π)/63229 weeks
23-4.96676 -2.37829 (23*2π)/63227 weeks
24-1.7208 -3.73417 (24*2π)/63226 weeks
251.11858 -3.08271 (25*2π)/63225 weeks
261.36282 -.13518 (26*2π)/63224 weeks
27-.93344 -1.43242 (27*2π)/63223 weeks
281.00555 -3.1806 (28*2π)/63223 weeks
294.3499 -1.07946 (29*2π)/63222 weeks
302.55958 3.89893 (30*2π)/63221 weeks
31-1.58861 1.5611 (31*2π)/63220 weeks
32-.30635 -1.1868 (32*2π)/63220 weeks
332.6158 -1.42189 (33*2π)/63219 weeks
343.08269 3.35813 (34*2π)/63219 weeks
35-1.37906 4.65121 (35*2π)/63218 weeks
36-3.80799 1.28725 (36*2π)/63218 weeks
37-1.62032 -2.42119 (37*2π)/63217 weeks
382.17815 -.45438 (38*2π)/63217 weeks
39-.27628 3.51937 (39*2π)/63216 weeks
40-3.71365 .80916 (40*2π)/63216 weeks
41-2.24068 -2.25768 (41*2π)/63215 weeks
42.23837 -2.24888 (42*2π)/63215 weeks
43.53894 -.83041 (43*2π)/63215 weeks
44.65267 -.79956 (44*2π)/63214 weeks
45.43025 -.30801 (45*2π)/63214 weeks
46.36807 -.94163 (46*2π)/63214 weeks
472.09483 -.5902 (47*2π)/63213 weeks
48.93195 1.4275 (48*2π)/63213 weeks
49.35357 .36685 (49*2π)/63213 weeks
50.58774 .82676 (50*2π)/63213 weeks
51.06047 .66022 (51*2π)/63212 weeks
52-.17361 .73228 (52*2π)/63212 weeks
53.05063 .25698 (53*2π)/63212 weeks
54.44302 .8325 (54*2π)/63212 weeks
55-.66976 .85261 (55*2π)/63211 weeks
56-.73571 .95485 (56*2π)/63211 weeks
57-1.25756 .16438 (57*2π)/63211 weeks
58-1.14483 -.69446 (58*2π)/63211 weeks
59-.27845 -.89839 (59*2π)/63211 weeks
60-.43914 -.24389 (60*2π)/63211 weeks
61-.62539 -.78926 (61*2π)/63210 weeks
62.05579 -1.72064 (62*2π)/63210 weeks
631.74458 -1.24139 (63*2π)/63210 weeks
641.83152 .58932 (64*2π)/63210 weeks
65.02403 .94727 (65*2π)/63210 weeks
66-.0918 -.20374 (66*2π)/63210 weeks
671.21784 -.41453 (67*2π)/6329 weeks
681.34502 .99058 (68*2π)/6329 weeks
69.37988 1.82415 (69*2π)/6329 weeks
70-1.19675 1.27746 (70*2π)/6329 weeks
71-.61282 -.12445 (71*2π)/6329 weeks
72-.25762 .46699 (72*2π)/6329 weeks
73-.47363 .40686 (73*2π)/6329 weeks
74-.92129 .32635 (74*2π)/6329 weeks
75-.91907 -.42649 (75*2π)/6328 weeks
76-.40626 -.43909 (76*2π)/6328 weeks
77-.42486 -1.01968 (77*2π)/6328 weeks
78.33394 -.81879 (78*2π)/6328 weeks
79.65061 -.60684 (79*2π)/6328 weeks
80.53175 .25486 (80*2π)/6328 weeks
81-.47603 -.28712 (81*2π)/6328 weeks
82.4489 -1.55197 (82*2π)/6328 weeks
832.39039 -.43828 (83*2π)/6328 weeks
841.78222 1.86591 (84*2π)/6328 weeks
85-.66062 2.06249 (85*2π)/6327 weeks
86-1.25033 -.01768 (86*2π)/6327 weeks
87.41472 -.49544 (87*2π)/6327 weeks
88.69795 .40408 (88*2π)/6327 weeks
89.38973 1.93002 (89*2π)/6327 weeks
90-2.34116 1.29096 (90*2π)/6327 weeks
91-1.84916 -1.65094 (91*2π)/6327 weeks
92.45655 -1.54207 (92*2π)/6327 weeks
931.19476 .03839 (93*2π)/6327 weeks
94-.49273 1.08856 (94*2π)/6327 weeks
95-1.15212 -.83293 (95*2π)/6327 weeks
96.09375 -1.5061 (96*2π)/6327 weeks
971.61722 -1.04602 (97*2π)/6327 weeks
981.38758 1.16738 (98*2π)/6326 weeks
99-.65326 1.09435 (99*2π)/6326 weeks
100-.80829 -.5875 (100*2π)/6326 weeks
101.98889 -1.16613 (101*2π)/6326 weeks
1021.67962 .48834 (102*2π)/6326 weeks
103.41785 1.76952 (103*2π)/6326 weeks
104-.9803 .9806 (104*2π)/6326 weeks
105-.51031 -.0357 (105*2π)/6326 weeks
106.07812 .138 (106*2π)/6326 weeks
107-.18951 .48774 (107*2π)/6326 weeks
108-.63171 .10636 (108*2π)/6326 weeks
109-.3491 .07142 (109*2π)/6326 weeks
110-.78176 -.15833 (110*2π)/6326 weeks
111-.47643 -.73934 (111*2π)/6326 weeks
112.38663 -.90414 (112*2π)/6326 weeks
113.80249 -.18682 (113*2π)/6326 weeks
114.20083 .27991 (114*2π)/6326 weeks
115-.29086 -.05857 (115*2π)/6325 weeks
116.12238 -.60104 (116*2π)/6325 weeks
1171.111 -.22638 (117*2π)/6325 weeks
118.98215 .834 (118*2π)/6325 weeks
119-.37908 .97848 (119*2π)/6325 weeks
120-.69717 -.10353 (120*2π)/6325 weeks
121.2233 -.68476 (121*2π)/6325 weeks
1221.09105 .35992 (122*2π)/6325 weeks
123.40171 1.29909 (123*2π)/6325 weeks
124-1.12297 1.16122 (124*2π)/6325 weeks
125-1.4288 -.53834 (125*2π)/6325 weeks
126.13475 -.86418 (126*2π)/6325 weeks
127.6089 .21184 (127*2π)/6325 weeks
128-.41242 .72342 (128*2π)/6325 weeks
129-1.21225 -.29756 (129*2π)/6325 weeks
130-.53356 -1.30803 (130*2π)/6325 weeks
131.96003 -1.32194 (131*2π)/6325 weeks
1321.31712 .43913 (132*2π)/6325 weeks
133.0015 .73221 (133*2π)/6325 weeks
134-.50901 -.19142 (134*2π)/6325 weeks
135.2668 -.6172 (135*2π)/6325 weeks
1361.02147 -.13127 (136*2π)/6325 weeks
137.67327 .86495 (137*2π)/6325 weeks
138-.22463 .72038 (138*2π)/6325 weeks
139-.4682 .0744 (139*2π)/6325 weeks
140.18734 -.15439 (140*2π)/6325 weeks
141.49067 .57883 (141*2π)/6324 weeks
142-.54412 1.04668 (142*2π)/6324 weeks
143-1.0066 .0091 (143*2π)/6324 weeks
144-.66718 -.64378 (144*2π)/6324 weeks
145-.11281 -.61953 (145*2π)/6324 weeks
146.16784 -.34384 (146*2π)/6324 weeks
147.21767 -.28953 (147*2π)/6324 weeks
148.16211 -.07326 (148*2π)/6324 weeks
149-.06458 -.25826 (149*2π)/6324 weeks
150.40522 -.4173 (150*2π)/6324 weeks
151.3168 -.08919 (151*2π)/6324 weeks
152.33462 -.2187 (152*2π)/6324 weeks
153.87096 -.10767 (153*2π)/6324 weeks
154.83655 .53707 (154*2π)/6324 weeks
155.13341 .83077 (155*2π)/6324 weeks
156-.26877 .68851 (156*2π)/6324 weeks
157-.32294 .17554 (157*2π)/6324 weeks
158.09752 .18583 (158*2π)/6324 weeks
159-.45663 .521 (159*2π)/6324 weeks
160-.65962 -.08943 (160*2π)/6324 weeks
161-.3125 -.31811 (161*2π)/6324 weeks
162.12095 -.25692 (162*2π)/6324 weeks
163-.23444 -.01519 (163*2π)/6324 weeks
164-.11367 -.61127 (164*2π)/6324 weeks
165.27783 -.26148 (165*2π)/6324 weeks
166.00564 -.27167 (166*2π)/6324 weeks
167.5211 -.38334 (167*2π)/6324 weeks
168.67953 .02638 (168*2π)/6324 weeks
169.46075 .40676 (169*2π)/6324 weeks
170-.08978 .41358 (170*2π)/6324 weeks
171.08784 -.00958 (171*2π)/6324 weeks
172.24317 .04044 (172*2π)/6324 weeks
173.57753 .37629 (173*2π)/6324 weeks
174-.15326 .95558 (174*2π)/6324 weeks
175-.67943 .22984 (175*2π)/6324 weeks
176-.2311 -.06668 (176*2π)/6324 weeks
177-.10878 .11512 (177*2π)/6324 weeks
178-.28212 .12779 (178*2π)/6324 weeks
179-.35284 -.09471 (179*2π)/6324 weeks
180-.44263 -.22788 (180*2π)/6324 weeks
181-.2862 -.6613 (181*2π)/6323 weeks
182.59341 -.64148 (182*2π)/6323 weeks
183.4169 .22614 (183*2π)/6323 weeks
184.08891 -.05066 (184*2π)/6323 weeks
185.25133 -.05174 (185*2π)/6323 weeks
186.21982 -.02266 (186*2π)/6323 weeks
187.32779 -.03444 (187*2π)/6323 weeks
188.55409 .20189 (188*2π)/6323 weeks
189.01603 .65535 (189*2π)/6323 weeks
190-.20468 .2247 (190*2π)/6323 weeks
191-.19817 .0177 (191*2π)/6323 weeks
192.29472 -.02983 (192*2π)/6323 weeks
193.19851 .55258 (193*2π)/6323 weeks
194-.39733 .52206 (194*2π)/6323 weeks
195-.70324 .05409 (195*2π)/6323 weeks
196-.33364 -.48534 (196*2π)/6323 weeks
197.17513 -.30228 (197*2π)/6323 weeks
198-.03513 .22569 (198*2π)/6323 weeks
199-.36181 -.1163 (199*2π)/6323 weeks
200-.36391 -.72852 (200*2π)/6323 weeks
201.54317 -.96645 (201*2π)/6323 weeks
2021.04812 -.10876 (202*2π)/6323 weeks
203.66701 .6786 (203*2π)/6323 weeks
204-.17642 .60643 (204*2π)/6323 weeks
205-.33287 -.22055 (205*2π)/6323 weeks
206.47634 -.26424 (206*2π)/6323 weeks
207.57386 .37461 (207*2π)/6323 weeks
208.02266 .80801 (208*2π)/6323 weeks
209-.58691 .35884 (209*2π)/6323 weeks
210-.30207 -.20224 (210*2π)/6323 weeks
211.0401 -.1297 (211*2π)/6323 weeks
212.11454 .30676 (212*2π)/6323 weeks
213-.36428 .31823 (213*2π)/6323 weeks
214-.51058 -.11488 (214*2π)/6323 weeks
215-.27446 -.52092 (215*2π)/6323 weeks
216.26863 -.26405 (216*2π)/6323 weeks
217-.05205 .09845 (217*2π)/6323 weeks
218-.17161 -.3516 (218*2π)/6323 weeks
219.07771 -.45679 (219*2π)/6323 weeks
220.61425 -.45722 (220*2π)/6323 weeks
221.80178 .30805 (221*2π)/6323 weeks
222.30465 .4943 (222*2π)/6323 weeks
223-.11441 .63413 (223*2π)/6323 weeks
224-.53164 .00156 (224*2π)/6323 weeks
225.32812 -.24564 (225*2π)/6323 weeks
226.34191 .27953 (226*2π)/6323 weeks
227.07128 .56147 (227*2π)/6323 weeks
228-.45479 .3673 (228*2π)/6323 weeks
229-.30301 -.03075 (229*2π)/6323 weeks
230-.2634 .12097 (230*2π)/6323 weeks
231-.18371 -.16476 (231*2π)/6323 weeks
232-.29187 .19654 (232*2π)/6323 weeks
233-.65728 -.49609 (233*2π)/6323 weeks
234-.01133 -.72992 (234*2π)/6323 weeks
235.48616 -.7559 (235*2π)/6323 weeks
236.94902 .14167 (236*2π)/6323 weeks
237.01252 .69187 (237*2π)/6323 weeks
238-.51155 -.21575 (238*2π)/6323 weeks
239.32948 -.79462 (239*2π)/6323 weeks
2401.21345 -.03893 (240*2π)/6323 weeks
241.62027 1.13802 (241*2π)/6323 weeks
242-.55802 .82983 (242*2π)/6323 weeks
243-.60952 -.09412 (243*2π)/6323 weeks
244.1113 -.33749 (244*2π)/6323 weeks
245.49357 .38918 (245*2π)/6323 weeks
246-.5851 .82051 (246*2π)/6323 weeks
247-.93209 -.20211 (247*2π)/6323 weeks
248-.27883 -.78228 (248*2π)/6323 weeks
249.45613 -.40818 (249*2π)/6323 weeks
250.08475 .24839 (250*2π)/6323 weeks
251-.32384 -.12386 (251*2π)/6323 weeks
252-.00801 -.38065 (252*2π)/6323 weeks
253.07224 -.36035 (253*2π)/6322 weeks
254.31439 -.45972 (254*2π)/6322 weeks
255.68228 -.12864 (255*2π)/6322 weeks
256.54709 .2711 (256*2π)/6322 weeks
257.32236 .43799 (257*2π)/6322 weeks
258-.09386 .44618 (258*2π)/6322 weeks
259-.05435 -.01476 (259*2π)/6322 weeks
260.28955 .25823 (260*2π)/6322 weeks
261.06265 .63498 (261*2π)/6322 weeks
262-.64947 .63787 (262*2π)/6322 weeks
263-.80883 -.38697 (263*2π)/6322 weeks
264-.09764 -.5205 (264*2π)/6322 weeks
265.15875 -.15203 (265*2π)/6322 weeks
266-.0345 .13684 (266*2π)/6322 weeks
267-.38965 -.11561 (267*2π)/6322 weeks
268-.17077 -.62077 (268*2π)/6322 weeks
269.42511 -.58976 (269*2π)/6322 weeks
270.66935 -.07595 (270*2π)/6322 weeks
271.33318 .39617 (271*2π)/6322 weeks
272-.18221 .19421 (272*2π)/6322 weeks
273-.07728 -.18097 (273*2π)/6322 weeks
274.3033 -.3199 (274*2π)/6322 weeks
275.78541 .22381 (275*2π)/6322 weeks
276.1104 .61269 (276*2π)/6322 weeks
277-.21103 .46303 (277*2π)/6322 weeks
278-.47149 .0348 (278*2π)/6322 weeks
279.07815 -.16256 (279*2π)/6322 weeks
280.06927 .21227 (280*2π)/6322 weeks
281-.23409 .31063 (281*2π)/6322 weeks
282-.63356 .05936 (282*2π)/6322 weeks
283-.29323 -.71947 (283*2π)/6322 weeks
284.53525 -.4492 (284*2π)/6322 weeks
285.38238 .2106 (285*2π)/6322 weeks
286-.15923 .43597 (286*2π)/6322 weeks
287-.59217 -.26127 (287*2π)/6322 weeks
288.0846 -.85572 (288*2π)/6322 weeks
289.85046 -.3992 (289*2π)/6322 weeks
290.80301 .44574 (290*2π)/6322 weeks
291-.004 .78044 (291*2π)/6322 weeks
292-.55316 .16119 (292*2π)/6322 weeks
293-.08008 -.42404 (293*2π)/6322 weeks
294.61846 -.32458 (294*2π)/6322 weeks
295.71711 .80133 (295*2π)/6322 weeks
296-.54644 .87621 (296*2π)/6322 weeks
297-.73058 -.05861 (297*2π)/6322 weeks
298-.3004 -.43141 (298*2π)/6322 weeks
299.47736 -.23918 (299*2π)/6322 weeks
300.22357 .65374 (300*2π)/6322 weeks
301-.8339 .3663 (301*2π)/6322 weeks
302-.76342 -.81128 (302*2π)/6322 weeks
303.32075 -.83238 (303*2π)/6322 weeks
304.68953 -.05233 (304*2π)/6322 weeks
305.17393 .48516 (305*2π)/6322 weeks
306-.44185 .06332 (306*2π)/6322 weeks
307-.34432 -.74606 (307*2π)/6322 weeks
308.98086 -.85742 (308*2π)/6322 weeks
3091.2188 .66417 (309*2π)/6322 weeks
310-.0297 1.00125 (310*2π)/6322 weeks
311-.5232 .30642 (311*2π)/6322 weeks
312-.20631 -.25674 (312*2π)/6322 weeks
313.42481 .02714 (313*2π)/6322 weeks
314.26874 .54124 (314*2π)/6322 weeks
315-.42381 .81071 (315*2π)/6322 weeks
316-1.12768   (316*2π)/6322 weeks
317-.42381 -.81071 (317*2π)/6322 weeks
318.26874 -.54124 (318*2π)/6322 weeks
319.42481 -.02714 (319*2π)/6322 weeks
320-.20631 .25674 (320*2π)/6322 weeks
321-.5232 -.30642 (321*2π)/6322 weeks
322-.0297 -1.00125 (322*2π)/6322 weeks
3231.2188 -.66417 (323*2π)/6322 weeks
324.98086 .85742 (324*2π)/6322 weeks
325-.34432 .74606 (325*2π)/6322 weeks
326-.44185 -.06332 (326*2π)/6322 weeks
327.17393 -.48516 (327*2π)/6322 weeks
328.68953 .05233 (328*2π)/6322 weeks
329.32075 .83238 (329*2π)/6322 weeks
330-.76342 .81128 (330*2π)/6322 weeks
331-.8339 -.3663 (331*2π)/6322 weeks
332.22357 -.65374 (332*2π)/6322 weeks
333.47736 .23918 (333*2π)/6322 weeks
334-.3004 .43141 (334*2π)/6322 weeks
335-.73058 .05861 (335*2π)/6322 weeks
336-.54644 -.87621 (336*2π)/6322 weeks
337.71711 -.80133 (337*2π)/6322 weeks
338.61846 .32458 (338*2π)/6322 weeks
339-.08008 .42404 (339*2π)/6322 weeks
340-.55316 -.16119 (340*2π)/6322 weeks
341-.004 -.78044 (341*2π)/6322 weeks
342.80301 -.44574 (342*2π)/6322 weeks
343.85046 .3992 (343*2π)/6322 weeks
344.0846 .85572 (344*2π)/6322 weeks
345-.59217 .26127 (345*2π)/6322 weeks
346-.15923 -.43597 (346*2π)/6322 weeks
347.38238 -.2106 (347*2π)/6322 weeks
348.53525 .4492 (348*2π)/6322 weeks
349-.29323 .71947 (349*2π)/6322 weeks
350-.63356 -.05936 (350*2π)/6322 weeks
351-.23409 -.31063 (351*2π)/6322 weeks
352.06927 -.21227 (352*2π)/6322 weeks
353.07815 .16256 (353*2π)/6322 weeks
354-.47149 -.0348 (354*2π)/6322 weeks
355-.21103 -.46303 (355*2π)/6322 weeks
356.1104 -.61269 (356*2π)/6322 weeks
357.78541 -.22381 (357*2π)/6322 weeks
358.3033 .3199 (358*2π)/6322 weeks
359-.07728 .18097 (359*2π)/6322 weeks
360-.18221 -.19421 (360*2π)/6322 weeks
361.33318 -.39617 (361*2π)/6322 weeks
362.66935 .07595 (362*2π)/6322 weeks
363.42511 .58976 (363*2π)/6322 weeks
364-.17077 .62077 (364*2π)/6322 weeks
365-.38965 .11561 (365*2π)/6322 weeks
366-.0345 -.13684 (366*2π)/6322 weeks
367.15875 .15203 (367*2π)/6322 weeks
368-.09764 .5205 (368*2π)/6322 weeks
369-.80883 .38697 (369*2π)/6322 weeks
370-.64947 -.63787 (370*2π)/6322 weeks
371.06265 -.63498 (371*2π)/6322 weeks
372.28955 -.25823 (372*2π)/6322 weeks
373-.05435 .01476 (373*2π)/6322 weeks
374-.09386 -.44618 (374*2π)/6322 weeks
375.32236 -.43799 (375*2π)/6322 weeks
376.54709 -.2711 (376*2π)/6322 weeks
377.68228 .12864 (377*2π)/6322 weeks
378.31439 .45972 (378*2π)/6322 weeks
379.07224 .36035 (379*2π)/6322 weeks
380-.00801 .38065 (380*2π)/6322 weeks
381-.32384 .12386 (381*2π)/6322 weeks
382.08475 -.24839 (382*2π)/6322 weeks
383.45613 .40818 (383*2π)/6322 weeks
384-.27883 .78228 (384*2π)/6322 weeks
385-.93209 .20211 (385*2π)/6322 weeks
386-.5851 -.82051 (386*2π)/6322 weeks
387.49357 -.38918 (387*2π)/6322 weeks
388.1113 .33749 (388*2π)/6322 weeks
389-.60952 .09412 (389*2π)/6322 weeks
390-.55802 -.82983 (390*2π)/6322 weeks
391.62027 -1.13802 (391*2π)/6322 weeks
3921.21345 .03893 (392*2π)/6322 weeks
393.32948 .79462 (393*2π)/6322 weeks
394-.51155 .21575 (394*2π)/6322 weeks
395.01252 -.69187 (395*2π)/6322 weeks
396.94902 -.14167 (396*2π)/6322 weeks
397.48616 .7559 (397*2π)/6322 weeks
398-.01133 .72992 (398*2π)/6322 weeks
399-.65728 .49609 (399*2π)/6322 weeks
400-.29187 -.19654 (400*2π)/6322 weeks
401-.18371 .16476 (401*2π)/6322 weeks
402-.2634 -.12097 (402*2π)/6322 weeks
403-.30301 .03075 (403*2π)/6322 weeks
404-.45479 -.3673 (404*2π)/6322 weeks
405.07128 -.56147 (405*2π)/6322 weeks
406.34191 -.27953 (406*2π)/6322 weeks
407.32812 .24564 (407*2π)/6322 weeks
408-.53164 -.00156 (408*2π)/6322 weeks
409-.11441 -.63413 (409*2π)/6322 weeks
410.30465 -.4943 (410*2π)/6322 weeks
411.80178 -.30805 (411*2π)/6322 weeks
412.61425 .45722 (412*2π)/6322 weeks
413.07771 .45679 (413*2π)/6322 weeks
414-.17161 .3516 (414*2π)/6322 weeks
415-.05205 -.09845 (415*2π)/6322 weeks
416.26863 .26405 (416*2π)/6322 weeks
417-.27446 .52092 (417*2π)/6322 weeks
418-.51058 .11488 (418*2π)/6322 weeks
419-.36428 -.31823 (419*2π)/6322 weeks
420.11454 -.30676 (420*2π)/6322 weeks
421.0401 .1297 (421*2π)/6322 weeks
422-.30207 .20224 (422*2π)/6321 weeks
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