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Fourier Analysis of UFPIX (UltraShort Latin America ProFun)


UFPIX (UltraShort Latin America ProFun) appears to have interesting cyclic behaviour every 41 weeks (16.1459*sine), 45 weeks (15.9254*sine), and 49 weeks (13.2702*sine).

UFPIX (UltraShort Latin America ProFun) has an average price of 51.46 (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 10/16/2007 to 3/20/2017 for UFPIX (UltraShort Latin America ProFun), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
051.46135   0 
157.83596 31.56751 (1*2π)/493493 weeks
226.61711 43.62333 (2*2π)/493247 weeks
31.71648 39.55273 (3*2π)/493164 weeks
4-10.94111 26.62996 (4*2π)/493123 weeks
5-10.25466 12.71998 (5*2π)/49399 weeks
6-2.38054 1.87265 (6*2π)/49382 weeks
76.86828 .24922 (7*2π)/49370 weeks
811.97366 4.6485 (8*2π)/49362 weeks
911.81512 8.43023 (9*2π)/49355 weeks
108.98893 13.27022 (10*2π)/49349 weeks
113.41138 15.92537 (11*2π)/49345 weeks
12-.73099 16.14589 (12*2π)/49341 weeks
13-4.75365 12.08009 (13*2π)/49338 weeks
14-6.12679 7.8099 (14*2π)/49335 weeks
15-5.50445 4.19252 (15*2π)/49333 weeks
16-3.37123 .34594 (16*2π)/49331 weeks
17-.31933 -.43394 (17*2π)/49329 weeks
182.73487 -.58706 (18*2π)/49327 weeks
193.96244 1.49387 (19*2π)/49326 weeks
204.28877 4.58844 (20*2π)/49325 weeks
212.68634 7.30355 (21*2π)/49323 weeks
22-.18831 7.59405 (22*2π)/49322 weeks
23-2.16913 5.6087 (23*2π)/49321 weeks
24-2.18111 1.74896 (24*2π)/49321 weeks
25-.68607 -.53444 (25*2π)/49320 weeks
261.54891 -1.18733 (26*2π)/49319 weeks
273.42485 .45862 (27*2π)/49318 weeks
284.22441 2.69395 (28*2π)/49318 weeks
293.4084 5.18281 (29*2π)/49317 weeks
301.34885 6.27905 (30*2π)/49316 weeks
31-.4416 5.06681 (31*2π)/49316 weeks
32-1.40042 3.52811 (32*2π)/49315 weeks
33-1.28735 1.68411 (33*2π)/49315 weeks
34-.82479 .43131 (34*2π)/49315 weeks
35.20564 -.41896 (35*2π)/49314 weeks
361.9019 -.37567 (36*2π)/49314 weeks
373.25438 .76275 (37*2π)/49313 weeks
383.42705 1.63592 (38*2π)/49313 weeks
393.21003 3.08459 (39*2π)/49313 weeks
402.26468 4.09558 (40*2π)/49312 weeks
41.97979 4.50405 (41*2π)/49312 weeks
42-.35893 3.73278 (42*2π)/49312 weeks
43-.89219 2.40142 (43*2π)/49311 weeks
44-.99907 1.33873 (44*2π)/49311 weeks
45.20551 .77697 (45*2π)/49311 weeks
461.25065 .69437 (46*2π)/49311 weeks
472.27826 1.12172 (47*2π)/49310 weeks
482.65507 2.32602 (48*2π)/49310 weeks
491.92668 3.71742 (49*2π)/49310 weeks
50.62406 4.45619 (50*2π)/49310 weeks
51-1.2611 3.84919 (51*2π)/49310 weeks
52-2.24333 2.42442 (52*2π)/4939 weeks
53-2.03756 .72973 (53*2π)/4939 weeks
54-1.0199 -.46368 (54*2π)/4939 weeks
55.57326 -.49217 (55*2π)/4939 weeks
561.32163 .09462 (56*2π)/4939 weeks
571.75591 .65243 (57*2π)/4939 weeks
581.561 1.44493 (58*2π)/4939 weeks
591.01398 1.88507 (59*2π)/4938 weeks
60.46753 2.29836 (60*2π)/4938 weeks
61-.35351 1.92205 (61*2π)/4938 weeks
62-.81026 1.28826 (62*2π)/4938 weeks
63-1.21283 .20456 (63*2π)/4938 weeks
64-.61717 -1.02276 (64*2π)/4938 weeks
65.93571 -1.45877 (65*2π)/4938 weeks
662.50062 -1.05379 (66*2π)/4937 weeks
673.3027 .4533 (67*2π)/4937 weeks
683.06857 1.86176 (68*2π)/4937 weeks
692.31981 2.74727 (69*2π)/4937 weeks
70.75683 3.34647 (70*2π)/4937 weeks
71-.69388 2.39903 (71*2π)/4937 weeks
72-1.11575 .98502 (72*2π)/4937 weeks
73-.70967 -.30146 (73*2π)/4937 weeks
74.92896 -.87679 (74*2π)/4937 weeks
752.06624 -.43586 (75*2π)/4937 weeks
762.8053 .59178 (76*2π)/4936 weeks
772.66575 2.09039 (77*2π)/4936 weeks
781.68879 2.91942 (78*2π)/4936 weeks
79.2456 2.88044 (79*2π)/4936 weeks
80-.91671 2.04637 (80*2π)/4936 weeks
81-1.25738 .82472 (81*2π)/4936 weeks
82-.78451 -.12627 (82*2π)/4936 weeks
83.22681 -.6285 (83*2π)/4936 weeks
841.10396 -.56764 (84*2π)/4936 weeks
851.766 -.16147 (85*2π)/4936 weeks
862.40341 .66356 (86*2π)/4936 weeks
872.34961 1.37411 (87*2π)/4936 weeks
881.50174 2.02319 (88*2π)/4936 weeks
89.45129 2.22375 (89*2π)/4936 weeks
90-.42206 1.81113 (90*2π)/4935 weeks
91-.84079 1.10878 (91*2π)/4935 weeks
92-.51912 .2325 (92*2π)/4935 weeks
93.36249 -.50955 (93*2π)/4935 weeks
941.39591 -.62275 (94*2π)/4935 weeks
952.1554 -.0411 (95*2π)/4935 weeks
962.24311 .94129 (96*2π)/4935 weeks
971.75839 1.9292 (97*2π)/4935 weeks
98.66024 2.43909 (98*2π)/4935 weeks
99-.31961 2.1401 (99*2π)/4935 weeks
100-.84655 1.16214 (100*2π)/4935 weeks
101-.65207 .05873 (101*2π)/4935 weeks
102-.00705 -.78605 (102*2π)/4935 weeks
1031.16319 -1.07682 (103*2π)/4935 weeks
1041.8687 -.44639 (104*2π)/4935 weeks
1052.114 .52561 (105*2π)/4935 weeks
1061.88954 1.36686 (106*2π)/4935 weeks
1071.18806 1.77683 (107*2π)/4935 weeks
108.50759 1.6129 (108*2π)/4935 weeks
109.07411 1.10979 (109*2π)/4935 weeks
110.17112 .44401 (110*2π)/4934 weeks
111.68415 .05839 (111*2π)/4934 weeks
112.95689 .07026 (112*2π)/4934 weeks
1131.20983 .36062 (113*2π)/4934 weeks
1141.18136 .65921 (114*2π)/4934 weeks
1151.18829 .72943 (115*2π)/4934 weeks
1161.29051 .87396 (116*2π)/4934 weeks
1171.31668 1.14224 (117*2π)/4934 weeks
1181.2476 1.29481 (118*2π)/4934 weeks
1191.09582 1.43041 (119*2π)/4934 weeks
120.65658 1.57617 (120*2π)/4934 weeks
121.03981 1.50541 (121*2π)/4934 weeks
122-.17965 1.15249 (122*2π)/4934 weeks
123-.19606 .57074 (123*2π)/4934 weeks
124.30809 .01667 (124*2π)/4934 weeks
125.91694 .09337 (125*2π)/4934 weeks
1261.21448 .52043 (126*2π)/4934 weeks
1271.17247 1.05991 (127*2π)/4934 weeks
128.69486 1.29221 (128*2π)/4934 weeks
129.39091 1.27619 (129*2π)/4934 weeks
130.1104 1.21663 (130*2π)/4934 weeks
131-.06748 .91519 (131*2π)/4934 weeks
132-.13151 .66739 (132*2π)/4934 weeks
133-.25437 .31518 (133*2π)/4934 weeks
134.02351 -.00142 (134*2π)/4934 weeks
135.35918 -.22086 (135*2π)/4934 weeks
136.86744 -.1013 (136*2π)/4934 weeks
1371.10836 .3255 (137*2π)/4934 weeks
1381.04483 .72649 (138*2π)/4934 weeks
139.77508 1.02664 (139*2π)/4934 weeks
140.3672 1.0193 (140*2π)/4934 weeks
141-.10871 .8451 (141*2π)/4933 weeks
142-.39262 .51609 (142*2π)/4933 weeks
143-.21199 -.13959 (143*2π)/4933 weeks
144.24386 -.45678 (144*2π)/4933 weeks
145.66513 -.5584 (145*2π)/4933 weeks
1461.12851 -.43895 (146*2π)/4933 weeks
1471.53142 -.04092 (147*2π)/4933 weeks
1481.5673 .61984 (148*2π)/4933 weeks
1491.17763 1.1396 (149*2π)/4933 weeks
150.50433 1.34628 (150*2π)/4933 weeks
151-.07148 1.034 (151*2π)/4933 weeks
152-.30919 .47852 (152*2π)/4933 weeks
153-.28301 -.19312 (153*2π)/4933 weeks
154.20342 -.57824 (154*2π)/4933 weeks
1551.04263 -.51371 (155*2π)/4933 weeks
1561.5964 -.09046 (156*2π)/4933 weeks
1571.71327 .64698 (157*2π)/4933 weeks
1581.26343 1.25024 (158*2π)/4933 weeks
159.52127 1.5617 (159*2π)/4933 weeks
160-.36482 1.37731 (160*2π)/4933 weeks
161-.8591 .66611 (161*2π)/4933 weeks
162-.77973 -.14171 (162*2π)/4933 weeks
163-.17942 -.7659 (163*2π)/4933 weeks
164.58291 -.87145 (164*2π)/4933 weeks
1651.0712 -.56939 (165*2π)/4933 weeks
1661.19112 .11303 (166*2π)/4933 weeks
167.93772 .62516 (167*2π)/4933 weeks
168.39218 .86474 (168*2π)/4933 weeks
169-.24581 .60575 (169*2π)/4933 weeks
170-.46865 -.12032 (170*2π)/4933 weeks
171-.37292 -.96982 (171*2π)/4933 weeks
172.24184 -1.50103 (172*2π)/4933 weeks
1731.18439 -1.50093 (173*2π)/4933 weeks
1742.03709 -1.09428 (174*2π)/4933 weeks
1752.5542 -.15731 (175*2π)/4933 weeks
1762.10961 .8313 (176*2π)/4933 weeks
1771.27324 1.37958 (177*2π)/4933 weeks
178.29246 1.2499 (178*2π)/4933 weeks
179-.30074 .5064 (179*2π)/4933 weeks
180-.28102 -.31682 (180*2π)/4933 weeks
181.24285 -1.11916 (181*2π)/4933 weeks
1821.31533 -1.21858 (182*2π)/4933 weeks
1832.07231 -.82544 (183*2π)/4933 weeks
1842.55404 -.03139 (184*2π)/4933 weeks
1852.37621 1.03333 (185*2π)/4933 weeks
1861.5508 1.80074 (186*2π)/4933 weeks
187.45593 1.97199 (187*2π)/4933 weeks
188-.41842 1.27048 (188*2π)/4933 weeks
189-.57807 .28218 (189*2π)/4933 weeks
190-.1569 -.58036 (190*2π)/4933 weeks
191.59299 -.94975 (191*2π)/4933 weeks
1921.42769 -.59175 (192*2π)/4933 weeks
1931.80025 -.06341 (193*2π)/4933 weeks
1941.65138 .61194 (194*2π)/4933 weeks
1951.18521 .96937 (195*2π)/4933 weeks
196.78086 1.1398 (196*2π)/4933 weeks
197.39324 1.13611 (197*2π)/4933 weeks
198-.0158 .81546 (198*2π)/4932 weeks
199-.26481 .22805 (199*2π)/4932 weeks
200-.06083 -.32383 (200*2π)/4932 weeks
201.34312 -.64559 (201*2π)/4932 weeks
202.9382 -.74582 (202*2π)/4932 weeks
2031.48603 -.37434 (203*2π)/4932 weeks
2041.64952 .36617 (204*2π)/4932 weeks
2051.40517 1.15214 (205*2π)/4932 weeks
206.70695 1.40261 (206*2π)/4932 weeks
207-.0589 1.16407 (207*2π)/4932 weeks
208-.61863 .51573 (208*2π)/4932 weeks
209-.72484 -.28177 (209*2π)/4932 weeks
210-.29951 -.94735 (210*2π)/4932 weeks
211.46496 -1.32638 (211*2π)/4932 weeks
2121.31011 -1.1596 (212*2π)/4932 weeks
2131.87606 -.53522 (213*2π)/4932 weeks
2141.95165 .29092 (214*2π)/4932 weeks
2151.39874 1.05814 (215*2π)/4932 weeks
216.58358 1.24095 (216*2π)/4932 weeks
217-.16563 .9753 (217*2π)/4932 weeks
218-.58775 .10481 (218*2π)/4932 weeks
219-.37489 -.74062 (219*2π)/4932 weeks
220.21031 -1.32628 (220*2π)/4932 weeks
2211.20368 -1.44672 (221*2π)/4932 weeks
2222.16843 -.85427 (222*2π)/4932 weeks
2232.57712 .10956 (223*2π)/4932 weeks
2242.22919 1.21504 (224*2π)/4932 weeks
2251.30566 1.81826 (225*2π)/4932 weeks
226.18372 1.76436 (226*2π)/4932 weeks
227-.7831 1.09939 (227*2π)/4932 weeks
228-1.14765 .01658 (228*2π)/4932 weeks
229-.74864 -.94224 (229*2π)/4932 weeks
230.23948 -1.64798 (230*2π)/4932 weeks
2311.50563 -1.51341 (231*2π)/4932 weeks
2322.2683 -.67956 (232*2π)/4932 weeks
2332.46661 .39714 (233*2π)/4932 weeks
2341.8512 1.44996 (234*2π)/4932 weeks
235.61306 1.79483 (235*2π)/4932 weeks
236-.63341 1.2213 (236*2π)/4932 weeks
237-1.12785 .18732 (237*2π)/4932 weeks
238-.80936 -.92859 (238*2π)/4932 weeks
239.15935 -1.60193 (239*2π)/4932 weeks
2401.49016 -1.72482 (240*2π)/4932 weeks
2412.48884 -.84852 (241*2π)/4932 weeks
2422.56089 .45533 (242*2π)/4932 weeks
2431.88474 1.41632 (243*2π)/4932 weeks
244.74383 1.93793 (244*2π)/4932 weeks
245-.34596 1.68032 (245*2π)/4932 weeks
246-1.24683 .70131 (246*2π)/4932 weeks
247-1.24683 -.70131 (247*2π)/4932 weeks
248-.34596 -1.68032 (248*2π)/4932 weeks
249.74383 -1.93793 (249*2π)/4932 weeks
2501.88474 -1.41632 (250*2π)/4932 weeks
2512.56089 -.45533 (251*2π)/4932 weeks
2522.48884 .84852 (252*2π)/4932 weeks
2531.49016 1.72482 (253*2π)/4932 weeks
254.15935 1.60193 (254*2π)/4932 weeks
255-.80936 .92859 (255*2π)/4932 weeks
256-1.12785 -.18732 (256*2π)/4932 weeks
257-.63341 -1.2213 (257*2π)/4932 weeks
258.61306 -1.79483 (258*2π)/4932 weeks
2591.8512 -1.44996 (259*2π)/4932 weeks
2602.46661 -.39714 (260*2π)/4932 weeks
2612.2683 .67956 (261*2π)/4932 weeks
2621.50563 1.51341 (262*2π)/4932 weeks
263.23948 1.64798 (263*2π)/4932 weeks
264-.74864 .94224 (264*2π)/4932 weeks
265-1.14765 -.01658 (265*2π)/4932 weeks
266-.7831 -1.09939 (266*2π)/4932 weeks
267.18372 -1.76436 (267*2π)/4932 weeks
2681.30566 -1.81826 (268*2π)/4932 weeks
2692.22919 -1.21504 (269*2π)/4932 weeks
2702.57712 -.10956 (270*2π)/4932 weeks
2712.16843 .85427 (271*2π)/4932 weeks
2721.20368 1.44672 (272*2π)/4932 weeks
273.21031 1.32628 (273*2π)/4932 weeks
274-.37489 .74062 (274*2π)/4932 weeks
275-.58775 -.10481 (275*2π)/4932 weeks
276-.16563 -.9753 (276*2π)/4932 weeks
277.58358 -1.24095 (277*2π)/4932 weeks
2781.39874 -1.05814 (278*2π)/4932 weeks
2791.95165 -.29092 (279*2π)/4932 weeks
2801.87606 .53522 (280*2π)/4932 weeks
2811.31011 1.1596 (281*2π)/4932 weeks
282.46496 1.32638 (282*2π)/4932 weeks
283-.29951 .94735 (283*2π)/4932 weeks
284-.72484 .28177 (284*2π)/4932 weeks
285-.61863 -.51573 (285*2π)/4932 weeks
286-.0589 -1.16407 (286*2π)/4932 weeks
287.70695 -1.40261 (287*2π)/4932 weeks
2881.40517 -1.15214 (288*2π)/4932 weeks
2891.64952 -.36617 (289*2π)/4932 weeks
2901.48603 .37434 (290*2π)/4932 weeks
291.9382 .74582 (291*2π)/4932 weeks
292.34312 .64559 (292*2π)/4932 weeks
293-.06083 .32383 (293*2π)/4932 weeks
294-.26481 -.22805 (294*2π)/4932 weeks
295-.0158 -.81546 (295*2π)/4932 weeks
296.39324 -1.13611 (296*2π)/4932 weeks
297.78086 -1.1398 (297*2π)/4932 weeks
2981.18521 -.96937 (298*2π)/4932 weeks
2991.65138 -.61194 (299*2π)/4932 weeks
3001.80025 .06341 (300*2π)/4932 weeks
3011.42769 .59175 (301*2π)/4932 weeks
302.59299 .94975 (302*2π)/4932 weeks
303-.1569 .58036 (303*2π)/4932 weeks
304-.57807 -.28218 (304*2π)/4932 weeks
305-.41842 -1.27048 (305*2π)/4932 weeks
306.45593 -1.97199 (306*2π)/4932 weeks
3071.5508 -1.80074 (307*2π)/4932 weeks
3082.37621 -1.03333 (308*2π)/4932 weeks
3092.55404 .03139 (309*2π)/4932 weeks
3102.07231 .82544 (310*2π)/4932 weeks
3111.31533 1.21858 (311*2π)/4932 weeks
312.24285 1.11916 (312*2π)/4932 weeks
313-.28102 .31682 (313*2π)/4932 weeks
314-.30074 -.5064 (314*2π)/4932 weeks
315.29246 -1.2499 (315*2π)/4932 weeks
3161.27324 -1.37958 (316*2π)/4932 weeks
3172.10961 -.8313 (317*2π)/4932 weeks
3182.5542 .15731 (318*2π)/4932 weeks
3192.03709 1.09428 (319*2π)/4932 weeks
3201.18439 1.50093 (320*2π)/4932 weeks
321.24184 1.50103 (321*2π)/4932 weeks
322-.37292 .96982 (322*2π)/4932 weeks
323-.46865 .12032 (323*2π)/4932 weeks
324-.24581 -.60575 (324*2π)/4932 weeks
325.39218 -.86474 (325*2π)/4932 weeks
326.93772 -.62516 (326*2π)/4932 weeks
3271.19112 -.11303 (327*2π)/4932 weeks
3281.0712 .56939 (328*2π)/4932 weeks
329.58291 .87145 (329*2π)/4931 weeks
330-.17942 .7659 (330*2π)/4931 weeks
331-.77973 .14171 (331*2π)/4931 weeks
332-.8591 -.66611 (332*2π)/4931 weeks
333-.36482 -1.37731 (333*2π)/4931 weeks
334.52127 -1.5617 (334*2π)/4931 weeks
3351.26343 -1.25024 (335*2π)/4931 weeks
3361.71327 -.64698 (336*2π)/4931 weeks
3371.5964 .09046 (337*2π)/4931 weeks
3381.04263 .51371 (338*2π)/4931 weeks
339.20342 .57824 (339*2π)/4931 weeks
340-.28301 .19312 (340*2π)/4931 weeks
341-.30919 -.47852 (341*2π)/4931 weeks
342-.07148 -1.034 (342*2π)/4931 weeks
343.50433 -1.34628 (343*2π)/4931 weeks
3441.17763 -1.1396 (344*2π)/4931 weeks
3451.5673 -.61984 (345*2π)/4931 weeks
3461.53142 .04092 (346*2π)/4931 weeks
3471.12851 .43895 (347*2π)/4931 weeks
348.66513 .5584 (348*2π)/4931 weeks
349.24386 .45678 (349*2π)/4931 weeks
350-.21199 .13959 (350*2π)/4931 weeks
351-.39262 -.51609 (351*2π)/4931 weeks
352-.10871 -.8451 (352*2π)/4931 weeks
353.3672 -1.0193 (353*2π)/4931 weeks
354.77508 -1.02664 (354*2π)/4931 weeks
3551.04483 -.72649 (355*2π)/4931 weeks
3561.10836 -.3255 (356*2π)/4931 weeks
357.86744 .1013 (357*2π)/4931 weeks
358.35918 .22086 (358*2π)/4931 weeks
359.02351 .00142 (359*2π)/4931 weeks
360-.25437 -.31518 (360*2π)/4931 weeks
361-.13151 -.66739 (361*2π)/4931 weeks
362-.06748 -.91519 (362*2π)/4931 weeks
363.1104 -1.21663 (363*2π)/4931 weeks
364.39091 -1.27619 (364*2π)/4931 weeks
365.69486 -1.29221 (365*2π)/4931 weeks
3661.17247 -1.05991 (366*2π)/4931 weeks
3671.21448 -.52043 (367*2π)/4931 weeks
368.91694 -.09337 (368*2π)/4931 weeks
369.30809 -.01667 (369*2π)/4931 weeks
370-.19606 -.57074 (370*2π)/4931 weeks
371-.17965 -1.15249 (371*2π)/4931 weeks
372.03981 -1.50541 (372*2π)/4931 weeks
373.65658 -1.57617 (373*2π)/4931 weeks
3741.09582 -1.43041 (374*2π)/4931 weeks
3751.2476 -1.29481 (375*2π)/4931 weeks
3761.31668 -1.14224 (376*2π)/4931 weeks
3771.29051 -.87396 (377*2π)/4931 weeks
3781.18829 -.72943 (378*2π)/4931 weeks
3791.18136 -.65921 (379*2π)/4931 weeks
3801.20983 -.36062 (380*2π)/4931 weeks
381.95689 -.07026 (381*2π)/4931 weeks
382.68415 -.05839 (382*2π)/4931 weeks
383.17112 -.44401 (383*2π)/4931 weeks
384.07411 -1.10979 (384*2π)/4931 weeks
385.50759 -1.6129 (385*2π)/4931 weeks
3861.18806 -1.77683 (386*2π)/4931 weeks
3871.88954 -1.36686 (387*2π)/4931 weeks
3882.114 -.52561 (388*2π)/4931 weeks
3891.8687 .44639 (389*2π)/4931 weeks
3901.16319 1.07682 (390*2π)/4931 weeks
391-.00705 .78605 (391*2π)/4931 weeks
392-.65207 -.05873 (392*2π)/4931 weeks
393-.84655 -1.16214 (393*2π)/4931 weeks
394-.31961 -2.1401 (394*2π)/4931 weeks
395.66024 -2.43909 (395*2π)/4931 weeks
3961.75839 -1.9292 (396*2π)/4931 weeks
3972.24311 -.94129 (397*2π)/4931 weeks
3982.1554 .0411 (398*2π)/4931 weeks
3991.39591 .62275 (399*2π)/4931 weeks
400.36249 .50955 (400*2π)/4931 weeks
401-.51912 -.2325 (401*2π)/4931 weeks
402-.84079 -1.10878 (402*2π)/4931 weeks
403-.42206 -1.81113 (403*2π)/4931 weeks
404.45129 -2.22375 (404*2π)/4931 weeks
4051.50174 -2.02319 (405*2π)/4931 weeks
4062.34961 -1.37411 (406*2π)/4931 weeks
4072.40341 -.66356 (407*2π)/4931 weeks
4081.766 .16147 (408*2π)/4931 weeks
4091.10396 .56764 (409*2π)/4931 weeks
410.22681 .6285 (410*2π)/4931 weeks
411-.78451 .12627 (411*2π)/4931 weeks
412-1.25738 -.82472 (412*2π)/4931 weeks
413-.91671 -2.04637 (413*2π)/4931 weeks
414.2456 -2.88044 (414*2π)/4931 weeks
4151.68879 -2.91942 (415*2π)/4931 weeks
4162.66575 -2.09039 (416*2π)/4931 weeks
4172.8053 -.59178 (417*2π)/4931 weeks
4182.06624 .43586 (418*2π)/4931 weeks
419.92896 .87679 (419*2π)/4931 weeks
420-.70967 .30146 (420*2π)/4931 weeks
421-1.11575 -.98502 (421*2π)/4931 weeks
422-.69388 -2.39903 (422*2π)/4931 weeks
423.75683 -3.34647 (423*2π)/4931 weeks
4242.31981 -2.74727 (424*2π)/4931 weeks
4253.06857 -1.86176 (425*2π)/4931 weeks
4263.3027 -.4533 (426*2π)/4931 weeks
4272.50062 1.05379 (427*2π)/4931 weeks
428.93571 1.45877 (428*2π)/4931 weeks
429-.61717 1.02276 (429*2π)/4931 weeks
430-1.21283 -.20456 (430*2π)/4931 weeks
431-.81026 -1.28826 (431*2π)/4931 weeks
432-.35351 -1.92205 (432*2π)/4931 weeks
433.46753 -2.29836 (433*2π)/4931 weeks
4341.01398 -1.88507 (434*2π)/4931 weeks
4351.561 -1.44493 (435*2π)/4931 weeks
4361.75591 -.65243 (436*2π)/4931 weeks
4371.32163 -.09462 (437*2π)/4931 weeks
438.57326 .49217 (438*2π)/4931 weeks
439-1.0199 .46368 (439*2π)/4931 weeks
440-2.03756 -.72973 (440*2π)/4931 weeks
441-2.24333 -2.42442 (441*2π)/4931 weeks
442-1.2611 -3.84919 (442*2π)/4931 weeks
443.62406 -4.45619 (443*2π)/4931 weeks
4441.92668 -3.71742 (444*2π)/4931 weeks
4452.65507 -2.32602 (445*2π)/4931 weeks
4462.27826 -1.12172 (446*2π)/4931 weeks
4471.25065 -.69437 (447*2π)/4931 weeks
448.20551 -.77697 (448*2π)/4931 weeks
449-.99907 -1.33873 (449*2π)/4931 weeks
450-.89219 -2.40142 (450*2π)/4931 weeks
451-.35893 -3.73278 (451*2π)/4931 weeks
452.97979 -4.50405 (452*2π)/4931 weeks
4532.26468 -4.09558 (453*2π)/4931 weeks
4543.21003 -3.08459 (454*2π)/4931 weeks
4553.42705 -1.63592 (455*2π)/4931 weeks
4563.25438 -.76275 (456*2π)/4931 weeks
4571.9019 .37567 (457*2π)/4931 weeks
458.20564 .41896 (458*2π)/4931 weeks
459-.82479 -.43131 (459*2π)/4931 weeks
460-1.28735 -1.68411 (460*2π)/4931 weeks
461-1.40042 -3.52811 (461*2π)/4931 weeks
462-.4416 -5.06681 (462*2π)/4931 weeks
4631.34885 -6.27905 (463*2π)/4931 weeks
4643.4084 -5.18281 (464*2π)/4931 weeks
4654.22441 -2.69395 (465*2π)/4931 weeks
4663.42485 -.45862 (466*2π)/4931 weeks
4671.54891 1.18733 (467*2π)/4931 weeks
468-.68607 .53444 (468*2π)/4931 weeks
469-2.18111 -1.74896 (469*2π)/4931 weeks
470-2.16913 -5.6087 (470*2π)/4931 weeks
471-.18831 -7.59405 (471*2π)/4931 weeks
4722.68634 -7.30355 (472*2π)/4931 weeks
4734.28877 -4.58844 (473*2π)/4931 weeks
4743.96244 -1.49387 (474*2π)/4931 weeks
4752.73487 .58706 (475*2π)/4931 weeks
476-.31933 .43394 (476*2π)/4931 weeks
477-3.37123 -.34594 (477*2π)/4931 weeks
478-5.50445 -4.19252 (478*2π)/4931 weeks
479-6.12679 -7.8099 (479*2π)/4931 weeks
480-4.75365 -12.08009 (480*2π)/4931 weeks
481-.73099 -16.14589 (481*2π)/4931 weeks
4823.41138 -15.92537 (482*2π)/4931 weeks
4838.98893 -13.27022 (483*2π)/4931 weeks
48411.81512 -8.43023 (484*2π)/4931 weeks
48511.97366 -4.6485 (485*2π)/4931 weeks
4866.86828 -.24922 (486*2π)/4931 weeks
487-2.38054 -1.87265 (487*2π)/4931 weeks
488-10.25466 -12.71998 (488*2π)/4931 weeks
489-10.94111 -26.62996 (489*2π)/4931 weeks
4901.71648 -39.55273 (490*2π)/4931 weeks
49126.61711 -43.62333 (491*2π)/4931 weeks

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