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Fourier Analysis of SMN (PROSHARES ULTRASHORT BASIC MATERIALS PROSHARES ULTRASHORT BASIC MATERIALS)


SMN (PROSHARES ULTRASHORT BASIC MATERIALS PROSHARES ULTRASHORT BASIC MATERIALS) appears to have interesting cyclic behaviour every 43 weeks (37.6334*sine), 47 weeks (29.5619*sine), and 47 weeks (25.9335*cosine).

SMN (PROSHARES ULTRASHORT BASIC MATERIALS PROSHARES ULTRASHORT BASIC MATERIALS) has an average price of 187.59 (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 2/2/2007 to 11/6/2017 for SMN (PROSHARES ULTRASHORT BASIC MATERIALS PROSHARES ULTRASHORT BASIC MATERIALS), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
0187.5885   0 
1158.9146 192.6427 (1*2π)/563563 weeks
26.55293 159.3373 (2*2π)/563282 weeks
3-42.93444 58.9722 (3*2π)/563188 weeks
45.04984 4.52865 (4*2π)/563141 weeks
552.05003 18.11723 (5*2π)/563113 weeks
651.44828 61.54407 (6*2π)/56394 weeks
74.84475 81.89595 (7*2π)/56380 weeks
8-36.23142 47.21638 (8*2π)/56370 weeks
9-24.83203 3.63325 (9*2π)/56363 weeks
106.2961 -4.52934 (10*2π)/56356 weeks
1125.2796 6.30705 (11*2π)/56351 weeks
1225.93347 29.5619 (12*2π)/56347 weeks
134.97746 37.6334 (13*2π)/56343 weeks
14-8.88892 28.48606 (14*2π)/56340 weeks
15-10.86542 12.19606 (15*2π)/56338 weeks
16-1.00497 4.83284 (16*2π)/56335 weeks
175.13998 6.0349 (17*2π)/56333 weeks
1811.94029 8.35834 (18*2π)/56331 weeks
1911.65717 16.33018 (19*2π)/56330 weeks
206.74657 18.00879 (20*2π)/56328 weeks
212.02176 17.92118 (21*2π)/56327 weeks
22-1.1311 14.99398 (22*2π)/56326 weeks
23-1.44588 10.28404 (23*2π)/56324 weeks
244.55901 6.29589 (24*2π)/56323 weeks
2510.16052 11.33479 (25*2π)/56323 weeks
266.27743 20.79006 (26*2π)/56322 weeks
27-7.06308 21.33186 (27*2π)/56321 weeks
28-12.07976 9.89583 (28*2π)/56320 weeks
29-6.32658 -1.39943 (29*2π)/56319 weeks
307.0913 -2.21646 (30*2π)/56319 weeks
3112.33267 8.72854 (31*2π)/56318 weeks
324.43441 19.06494 (32*2π)/56318 weeks
33-9.20306 16.37278 (33*2π)/56317 weeks
34-12.4399 1.61722 (34*2π)/56317 weeks
35.46877 -7.11037 (35*2π)/56316 weeks
3610.65516 -.24672 (36*2π)/56316 weeks
3710.55164 9.46149 (37*2π)/56315 weeks
382.52474 13.26843 (38*2π)/56315 weeks
39-2.18601 8.86255 (39*2π)/56314 weeks
40-1.33365 4.56472 (40*2π)/56314 weeks
411.73942 2.41495 (41*2π)/56314 weeks
426.03176 4.17303 (42*2π)/56313 weeks
434.57731 8.45683 (43*2π)/56313 weeks
441.9865 8.78037 (44*2π)/56313 weeks
45.74457 8.55074 (45*2π)/56313 weeks
46.02824 7.25584 (46*2π)/56312 weeks
47-.71363 7.41467 (47*2π)/56312 weeks
48-1.99697 5.75303 (48*2π)/56312 weeks
49-1.26744 4.24449 (49*2π)/56311 weeks
50-.80907 2.32578 (50*2π)/56311 weeks
511.18532 2.75133 (51*2π)/56311 weeks
521.99506 3.6167 (52*2π)/56311 weeks
531.30537 5.20044 (53*2π)/56311 weeks
54-1.17004 4.23955 (54*2π)/56310 weeks
55-.9576 .452 (55*2π)/56310 weeks
562.88507 -1.23137 (56*2π)/56310 weeks
577.83807 1.7385 (57*2π)/56310 weeks
586.07885 8.44201 (58*2π)/56310 weeks
59.65338 9.30291 (59*2π)/56310 weeks
60-2.37001 5.60891 (60*2π)/5639 weeks
61-1.52105 1.95108 (61*2π)/5639 weeks
621.90892 1.00601 (62*2π)/5639 weeks
632.52804 3.92452 (63*2π)/5639 weeks
64.89239 3.47763 (64*2π)/5639 weeks
651.4171 2.63176 (65*2π)/5639 weeks
662.77071 2.03076 (66*2π)/5639 weeks
673.61007 4.00461 (67*2π)/5638 weeks
681.26982 5.65863 (68*2π)/5638 weeks
69.50577 3.92933 (69*2π)/5638 weeks
70.81277 2.82971 (70*2π)/5638 weeks
713.35921 2.83756 (71*2π)/5638 weeks
722.44456 7.13104 (72*2π)/5638 weeks
73-2.98802 6.89258 (73*2π)/5638 weeks
74-5.00194 1.35589 (74*2π)/5638 weeks
75-1.57025 -3.50347 (75*2π)/5638 weeks
764.94475 -2.56198 (76*2π)/5637 weeks
776.16441 2.709 (77*2π)/5637 weeks
783.75298 5.03629 (78*2π)/5637 weeks
79.41808 6.47837 (79*2π)/5637 weeks
80-3.36592 2.27445 (80*2π)/5637 weeks
81.10335 -2.71998 (81*2π)/5637 weeks
825.10772 -1.58785 (82*2π)/5637 weeks
837.32897 2.91533 (83*2π)/5637 weeks
843.79229 7.57733 (84*2π)/5637 weeks
85-.93693 5.77979 (85*2π)/5637 weeks
86-2.51276 2.07387 (86*2π)/5637 weeks
87.25574 -2.2214 (87*2π)/5636 weeks
885.54238 -.89947 (88*2π)/5636 weeks
896.3653 3.68502 (89*2π)/5636 weeks
903.09223 6.8754 (90*2π)/5636 weeks
91-1.11756 5.60284 (91*2π)/5636 weeks
92-1.52045 1.38473 (92*2π)/5636 weeks
931.50643 -.08654 (93*2π)/5636 weeks
943.53515 1.43282 (94*2π)/5636 weeks
952.92614 3.56205 (95*2π)/5636 weeks
961.21549 3.26702 (96*2π)/5636 weeks
971.63004 2.81443 (97*2π)/5636 weeks
98.71847 3.97555 (98*2π)/5636 weeks
99-1.01355 2.90159 (99*2π)/5636 weeks
100-.95379 .16336 (100*2π)/5636 weeks
1011.77272 -1.41306 (101*2π)/5636 weeks
1024.19549 .08539 (102*2π)/5636 weeks
1034.08739 3.03372 (103*2π)/5635 weeks
1041.58973 4.52435 (104*2π)/5635 weeks
105-1.0506 2.72963 (105*2π)/5635 weeks
106-.02879 -.98883 (106*2π)/5635 weeks
1073.52485 -1.58234 (107*2π)/5635 weeks
1086.31944 1.02624 (108*2π)/5635 weeks
1094.81469 5.2434 (109*2π)/5635 weeks
1101.06015 6.16047 (110*2π)/5635 weeks
111-1.89799 3.21288 (111*2π)/5635 weeks
112-.33512 -1.02312 (112*2π)/5635 weeks
1133.82322 -1.24211 (113*2π)/5635 weeks
1145.86473 2.65558 (114*2π)/5635 weeks
1153.221 6.01468 (115*2π)/5635 weeks
116-.2775 5.81747 (116*2π)/5635 weeks
117-2.88842 2.98753 (117*2π)/5635 weeks
118-1.39667 -1.06409 (118*2π)/5635 weeks
1191.84955 -1.61096 (119*2π)/5635 weeks
1203.66619 .27273 (120*2π)/5635 weeks
1213.48666 2.34432 (121*2π)/5635 weeks
1221.78704 3.05285 (122*2π)/5635 weeks
123.75038 1.90683 (123*2π)/5635 weeks
1241.17168 .51652 (124*2π)/5635 weeks
1253.03898 .47528 (125*2π)/5635 weeks
1263.72275 2.4437 (126*2π)/5634 weeks
1271.71421 3.686 (127*2π)/5634 weeks
128.54327 2.61884 (128*2π)/5634 weeks
129.67943 1.10888 (129*2π)/5634 weeks
1301.84372 1.01452 (130*2π)/5634 weeks
1311.71597 1.53803 (131*2π)/5634 weeks
1321.60275 1.18503 (132*2π)/5634 weeks
1332.0577 1.19836 (133*2π)/5634 weeks
1341.99885 1.54777 (134*2π)/5634 weeks
1352.11261 1.23861 (135*2π)/5634 weeks
1362.94014 1.08997 (136*2π)/5634 weeks
1373.24163 2.49772 (137*2π)/5634 weeks
1381.8089 3.3197 (138*2π)/5634 weeks
1391.03826 2.86162 (139*2π)/5634 weeks
140.57859 1.68984 (140*2π)/5634 weeks
1412.00618 1.01256 (141*2π)/5634 weeks
1422.14294 2.6175 (142*2π)/5634 weeks
143.60486 2.39758 (143*2π)/5634 weeks
144.48727 1.36497 (144*2π)/5634 weeks
1451.48341 .59057 (145*2π)/5634 weeks
1462.56217 1.64248 (146*2π)/5634 weeks
1471.44252 2.23749 (147*2π)/5634 weeks
1481.16696 1.3157 (148*2π)/5634 weeks
1491.73423 1.38004 (149*2π)/5634 weeks
1502.03563 1.78502 (150*2π)/5634 weeks
1511.68807 2.7254 (151*2π)/5634 weeks
152.03846 2.37679 (152*2π)/5634 weeks
153-.19258 .89315 (153*2π)/5634 weeks
154.83733 -.56384 (154*2π)/5634 weeks
1553.03864 .16608 (155*2π)/5634 weeks
1562.73648 1.9429 (156*2π)/5634 weeks
1571.74591 2.14123 (157*2π)/5634 weeks
1581.26686 1.73034 (158*2π)/5634 weeks
1591.11361 1.35826 (159*2π)/5634 weeks
1601.31649 .778 (160*2π)/5634 weeks
1612.18602 .59991 (161*2π)/5633 weeks
1623.24133 1.71068 (162*2π)/5633 weeks
1632.18436 3.13093 (163*2π)/5633 weeks
1641.02151 2.83443 (164*2π)/5633 weeks
165.36904 2.52058 (165*2π)/5633 weeks
166-.18041 1.4691 (166*2π)/5633 weeks
167.55947 .37373 (167*2π)/5633 weeks
1681.87983 .38882 (168*2π)/5633 weeks
1692.14715 1.73905 (169*2π)/5633 weeks
1701.20906 2.55494 (170*2π)/5633 weeks
171-.16547 2.08847 (171*2π)/5633 weeks
172-.55449 .66682 (172*2π)/5633 weeks
173.47009 -.58124 (173*2π)/5633 weeks
1741.96257 -.31488 (174*2π)/5633 weeks
1752.27942 .80846 (175*2π)/5633 weeks
1761.75199 1.68326 (176*2π)/5633 weeks
177.77748 1.35149 (177*2π)/5633 weeks
178.41496 .33343 (178*2π)/5633 weeks
1791.28258 -.74887 (179*2π)/5633 weeks
1803.07973 -.54354 (180*2π)/5633 weeks
1814.11623 1.24355 (181*2π)/5633 weeks
1823.1531 3.27538 (182*2π)/5633 weeks
183.69223 3.65509 (183*2π)/5633 weeks
184-.67418 1.91039 (184*2π)/5633 weeks
185.01077 .10516 (185*2π)/5633 weeks
1861.68222 -.21593 (186*2π)/5633 weeks
1872.44268 1.11519 (187*2π)/5633 weeks
1881.69487 2.01626 (188*2π)/5633 weeks
189.43565 1.88758 (189*2π)/5633 weeks
190.46882 .92158 (190*2π)/5633 weeks
191.74189 .55249 (191*2π)/5633 weeks
1921.63008 .4212 (192*2π)/5633 weeks
1931.74341 1.47434 (193*2π)/5633 weeks
194.62641 1.99054 (194*2π)/5633 weeks
195-.42091 1.43287 (195*2π)/5633 weeks
196-.82631 -.24446 (196*2π)/5633 weeks
197.63472 -1.88228 (197*2π)/5633 weeks
1982.59677 -1.77757 (198*2π)/5633 weeks
1994.46924 -.26582 (199*2π)/5633 weeks
2003.84474 3.03632 (200*2π)/5633 weeks
201.94868 3.35297 (201*2π)/5633 weeks
202-.36406 1.77671 (202*2π)/5633 weeks
203.15389 -.04584 (203*2π)/5633 weeks
2041.73006 -.14832 (204*2π)/5633 weeks
2051.97472 .99302 (205*2π)/5633 weeks
2061.8766 1.64622 (206*2π)/5633 weeks
207.34773 2.40405 (207*2π)/5633 weeks
208-.66862 .57147 (208*2π)/5633 weeks
209-.03345 -.44816 (209*2π)/5633 weeks
2101.14749 -1.47653 (210*2π)/5633 weeks
2112.96601 -.61105 (211*2π)/5633 weeks
2123.12034 1.48241 (212*2π)/5633 weeks
2131.1988 2.64776 (213*2π)/5633 weeks
214-.69856 1.14826 (214*2π)/5633 weeks
215.09516 -1.2147 (215*2π)/5633 weeks
2162.51159 -1.11933 (216*2π)/5633 weeks
2173.27622 .60136 (217*2π)/5633 weeks
2182.46752 2.43477 (218*2π)/5633 weeks
219-.11691 2.41824 (219*2π)/5633 weeks
220-.58976 -.01109 (220*2π)/5633 weeks
2211.12515 -1.27686 (221*2π)/5633 weeks
2223.02129 -.20641 (222*2π)/5633 weeks
2232.31866 1.86 (223*2π)/5633 weeks
224.53136 1.67993 (224*2π)/5633 weeks
225.27162 .17033 (225*2π)/5633 weeks
2261.55973 -.28774 (226*2π)/5632 weeks
2272.25617 .53264 (227*2π)/5632 weeks
2282.08023 1.68174 (228*2π)/5632 weeks
229.60209 2.18956 (229*2π)/5632 weeks
230-.48771 .82636 (230*2π)/5632 weeks
231.37909 -.22603 (231*2π)/5632 weeks
2321.33464 -.08112 (232*2π)/5632 weeks
2331.29428 .97102 (233*2π)/5632 weeks
234.0802 .89274 (234*2π)/5632 weeks
235-.11075 -.05328 (235*2π)/5632 weeks
236.3832 -.94063 (236*2π)/5632 weeks
2371.51212 -1.19535 (237*2π)/5632 weeks
2382.25975 -.31231 (238*2π)/5632 weeks
2392.06694 .78556 (239*2π)/5632 weeks
240.83693 1.35763 (240*2π)/5632 weeks
241-.42504 .14097 (241*2π)/5632 weeks
242.21988 -1.42825 (242*2π)/5632 weeks
2431.81451 -1.76069 (243*2π)/5632 weeks
2443.14703 -.83723 (244*2π)/5632 weeks
2452.92735 1.28701 (245*2π)/5632 weeks
2461.36576 1.44834 (246*2π)/5632 weeks
247.52819 .9276 (247*2π)/5632 weeks
248.24951 -.47504 (248*2π)/5632 weeks
2491.57823 -.90103 (249*2π)/5632 weeks
2502.19474 -.15026 (250*2π)/5632 weeks
2512.36416 .68272 (251*2π)/5632 weeks
2521.35183 1.70471 (252*2π)/5632 weeks
253-.4319 1.1486 (253*2π)/5632 weeks
254-.84593 -.61092 (254*2π)/5632 weeks
255.47217 -2.49391 (255*2π)/5632 weeks
2562.83877 -2.18765 (256*2π)/5632 weeks
2573.67777 -.0356 (257*2π)/5632 weeks
2582.71728 1.37472 (258*2π)/5632 weeks
2591.15287 1.87481 (259*2π)/5632 weeks
260-.59686 .82733 (260*2π)/5632 weeks
261-.32658 -1.54772 (261*2π)/5632 weeks
2621.91788 -2.75905 (262*2π)/5632 weeks
2634.33647 -.80419 (263*2π)/5632 weeks
2643.33985 2.00553 (264*2π)/5632 weeks
265.94385 2.339 (265*2π)/5632 weeks
266-.9792 .97354 (266*2π)/5632 weeks
267-.73893 -1.87682 (267*2π)/5632 weeks
2682.16678 -2.79571 (268*2π)/5632 weeks
2694.41894 -.55759 (269*2π)/5632 weeks
2703.04454 1.99912 (270*2π)/5632 weeks
271.54721 2.26628 (271*2π)/5632 weeks
272-1.27863 .4498 (272*2π)/5632 weeks
273-.70827 -2.33325 (273*2π)/5632 weeks
2742.44065 -3.62248 (274*2π)/5632 weeks
2755.17095 -1.01976 (275*2π)/5632 weeks
2763.70243 2.23276 (276*2π)/5632 weeks
277.87819 2.30722 (277*2π)/5632 weeks
278-.53016 .72022 (278*2π)/5632 weeks
279-.18747 -1.47295 (279*2π)/5632 weeks
2801.71925 -2.74377 (280*2π)/5632 weeks
2814.44849 -1.72581 (281*2π)/5632 weeks
2824.44849 1.72581 (282*2π)/5632 weeks
2831.71925 2.74377 (283*2π)/5632 weeks
284-.18747 1.47295 (284*2π)/5632 weeks
285-.53016 -.72022 (285*2π)/5632 weeks
286.87819 -2.30722 (286*2π)/5632 weeks
2873.70243 -2.23276 (287*2π)/5632 weeks
2885.17095 1.01976 (288*2π)/5632 weeks
2892.44065 3.62248 (289*2π)/5632 weeks
290-.70827 2.33325 (290*2π)/5632 weeks
291-1.27863 -.4498 (291*2π)/5632 weeks
292.54721 -2.26628 (292*2π)/5632 weeks
2933.04454 -1.99912 (293*2π)/5632 weeks
2944.41894 .55759 (294*2π)/5632 weeks
2952.16678 2.79571 (295*2π)/5632 weeks
296-.73893 1.87682 (296*2π)/5632 weeks
297-.9792 -.97354 (297*2π)/5632 weeks
298.94385 -2.339 (298*2π)/5632 weeks
2993.33985 -2.00553 (299*2π)/5632 weeks
3004.33647 .80419 (300*2π)/5632 weeks
3011.91788 2.75905 (301*2π)/5632 weeks
302-.32658 1.54772 (302*2π)/5632 weeks
303-.59686 -.82733 (303*2π)/5632 weeks
3041.15287 -1.87481 (304*2π)/5632 weeks
3052.71728 -1.37472 (305*2π)/5632 weeks
3063.67777 .0356 (306*2π)/5632 weeks
3072.83877 2.18765 (307*2π)/5632 weeks
308.47217 2.49391 (308*2π)/5632 weeks
309-.84593 .61092 (309*2π)/5632 weeks
310-.4319 -1.1486 (310*2π)/5632 weeks
3111.35183 -1.70471 (311*2π)/5632 weeks
3122.36416 -.68272 (312*2π)/5632 weeks
3132.19474 .15026 (313*2π)/5632 weeks
3141.57823 .90103 (314*2π)/5632 weeks
315.24951 .47504 (315*2π)/5632 weeks
316.52819 -.9276 (316*2π)/5632 weeks
3171.36576 -1.44834 (317*2π)/5632 weeks
3182.92735 -1.28701 (318*2π)/5632 weeks
3193.14703 .83723 (319*2π)/5632 weeks
3201.81451 1.76069 (320*2π)/5632 weeks
321.21988 1.42825 (321*2π)/5632 weeks
322-.42504 -.14097 (322*2π)/5632 weeks
323.83693 -1.35763 (323*2π)/5632 weeks
3242.06694 -.78556 (324*2π)/5632 weeks
3252.25975 .31231 (325*2π)/5632 weeks
3261.51212 1.19535 (326*2π)/5632 weeks
327.3832 .94063 (327*2π)/5632 weeks
328-.11075 .05328 (328*2π)/5632 weeks
329.0802 -.89274 (329*2π)/5632 weeks
3301.29428 -.97102 (330*2π)/5632 weeks
3311.33464 .08112 (331*2π)/5632 weeks
332.37909 .22603 (332*2π)/5632 weeks
333-.48771 -.82636 (333*2π)/5632 weeks
334.60209 -2.18956 (334*2π)/5632 weeks
3352.08023 -1.68174 (335*2π)/5632 weeks
3362.25617 -.53264 (336*2π)/5632 weeks
3371.55973 .28774 (337*2π)/5632 weeks
338.27162 -.17033 (338*2π)/5632 weeks
339.53136 -1.67993 (339*2π)/5632 weeks
3402.31866 -1.86 (340*2π)/5632 weeks
3413.02129 .20641 (341*2π)/5632 weeks
3421.12515 1.27686 (342*2π)/5632 weeks
343-.58976 .01109 (343*2π)/5632 weeks
344-.11691 -2.41824 (344*2π)/5632 weeks
3452.46752 -2.43477 (345*2π)/5632 weeks
3463.27622 -.60136 (346*2π)/5632 weeks
3472.51159 1.11933 (347*2π)/5632 weeks
348.09516 1.2147 (348*2π)/5632 weeks
349-.69856 -1.14826 (349*2π)/5632 weeks
3501.1988 -2.64776 (350*2π)/5632 weeks
3513.12034 -1.48241 (351*2π)/5632 weeks
3522.96601 .61105 (352*2π)/5632 weeks
3531.14749 1.47653 (353*2π)/5632 weeks
354-.03345 .44816 (354*2π)/5632 weeks
355-.66862 -.57147 (355*2π)/5632 weeks
356.34773 -2.40405 (356*2π)/5632 weeks
3571.8766 -1.64622 (357*2π)/5632 weeks
3581.97472 -.99302 (358*2π)/5632 weeks
3591.73006 .14832 (359*2π)/5632 weeks
360.15389 .04584 (360*2π)/5632 weeks
361-.36406 -1.77671 (361*2π)/5632 weeks
362.94868 -3.35297 (362*2π)/5632 weeks
3633.84474 -3.03632 (363*2π)/5632 weeks
3644.46924 .26582 (364*2π)/5632 weeks
3652.59677 1.77757 (365*2π)/5632 weeks
366.63472 1.88228 (366*2π)/5632 weeks
367-.82631 .24446 (367*2π)/5632 weeks
368-.42091 -1.43287 (368*2π)/5632 weeks
369.62641 -1.99054 (369*2π)/5632 weeks
3701.74341 -1.47434 (370*2π)/5632 weeks
3711.63008 -.4212 (371*2π)/5632 weeks
372.74189 -.55249 (372*2π)/5632 weeks
373.46882 -.92158 (373*2π)/5632 weeks
374.43565 -1.88758 (374*2π)/5632 weeks
3751.69487 -2.01626 (375*2π)/5632 weeks
3762.44268 -1.11519 (376*2π)/5631 weeks
3771.68222 .21593 (377*2π)/5631 weeks
378.01077 -.10516 (378*2π)/5631 weeks
379-.67418 -1.91039 (379*2π)/5631 weeks
380.69223 -3.65509 (380*2π)/5631 weeks
3813.1531 -3.27538 (381*2π)/5631 weeks
3824.11623 -1.24355 (382*2π)/5631 weeks
3833.07973 .54354 (383*2π)/5631 weeks
3841.28258 .74887 (384*2π)/5631 weeks
385.41496 -.33343 (385*2π)/5631 weeks
386.77748 -1.35149 (386*2π)/5631 weeks
3871.75199 -1.68326 (387*2π)/5631 weeks
3882.27942 -.80846 (388*2π)/5631 weeks
3891.96257 .31488 (389*2π)/5631 weeks
390.47009 .58124 (390*2π)/5631 weeks
391-.55449 -.66682 (391*2π)/5631 weeks
392-.16547 -2.08847 (392*2π)/5631 weeks
3931.20906 -2.55494 (393*2π)/5631 weeks
3942.14715 -1.73905 (394*2π)/5631 weeks
3951.87983 -.38882 (395*2π)/5631 weeks
396.55947 -.37373 (396*2π)/5631 weeks
397-.18041 -1.4691 (397*2π)/5631 weeks
398.36904 -2.52058 (398*2π)/5631 weeks
3991.02151 -2.83443 (399*2π)/5631 weeks
4002.18436 -3.13093 (400*2π)/5631 weeks
4013.24133 -1.71068 (401*2π)/5631 weeks
4022.18602 -.59991 (402*2π)/5631 weeks
4031.31649 -.778 (403*2π)/5631 weeks
4041.11361 -1.35826 (404*2π)/5631 weeks
4051.26686 -1.73034 (405*2π)/5631 weeks
4061.74591 -2.14123 (406*2π)/5631 weeks
4072.73648 -1.9429 (407*2π)/5631 weeks
4083.03864 -.16608 (408*2π)/5631 weeks
409.83733 .56384 (409*2π)/5631 weeks
410-.19258 -.89315 (410*2π)/5631 weeks
411.03846 -2.37679 (411*2π)/5631 weeks
4121.68807 -2.7254 (412*2π)/5631 weeks
4132.03563 -1.78502 (413*2π)/5631 weeks
4141.73423 -1.38004 (414*2π)/5631 weeks
4151.16696 -1.3157 (415*2π)/5631 weeks
4161.44252 -2.23749 (416*2π)/5631 weeks
4172.56217 -1.64248 (417*2π)/5631 weeks
4181.48341 -.59057 (418*2π)/5631 weeks
419.48727 -1.36497 (419*2π)/5631 weeks
420.60486 -2.39758 (420*2π)/5631 weeks
4212.14294 -2.6175 (421*2π)/5631 weeks
4222.00618 -1.01256 (422*2π)/5631 weeks
423.57859 -1.68984 (423*2π)/5631 weeks
4241.03826 -2.86162 (424*2π)/5631 weeks
4251.8089 -3.3197 (425*2π)/5631 weeks
4263.24163 -2.49772 (426*2π)/5631 weeks
4272.94014 -1.08997 (427*2π)/5631 weeks
4282.11261 -1.23861 (428*2π)/5631 weeks
4291.99885 -1.54777 (429*2π)/5631 weeks
4302.0577 -1.19836 (430*2π)/5631 weeks
4311.60275 -1.18503 (431*2π)/5631 weeks
4321.71597 -1.53803 (432*2π)/5631 weeks
4331.84372 -1.01452 (433*2π)/5631 weeks
434.67943 -1.10888 (434*2π)/5631 weeks
435.54327 -2.61884 (435*2π)/5631 weeks
4361.71421 -3.686 (436*2π)/5631 weeks
4373.72275 -2.4437 (437*2π)/5631 weeks
4383.03898 -.47528 (438*2π)/5631 weeks
4391.17168 -.51652 (439*2π)/5631 weeks
440.75038 -1.90683 (440*2π)/5631 weeks
4411.78704 -3.05285 (441*2π)/5631 weeks
4423.48666 -2.34432 (442*2π)/5631 weeks
4433.66619 -.27273 (443*2π)/5631 weeks
4441.84955 1.61096 (444*2π)/5631 weeks
445-1.39667 1.06409 (445*2π)/5631 weeks
446-2.88842 -2.98753 (446*2π)/5631 weeks
447-.2775 -5.81747 (447*2π)/5631 weeks
4483.221 -6.01468 (448*2π)/5631 weeks
4495.86473 -2.65558 (449*2π)/5631 weeks
4503.82322 1.24211 (450*2π)/5631 weeks
451-.33512 1.02312 (451*2π)/5631 weeks
452-1.89799 -3.21288 (452*2π)/5631 weeks
4531.06015 -6.16047 (453*2π)/5631 weeks
4544.81469 -5.2434 (454*2π)/5631 weeks
4556.31944 -1.02624 (455*2π)/5631 weeks
4563.52485 1.58234 (456*2π)/5631 weeks
457-.02879 .98883 (457*2π)/5631 weeks
458-1.0506 -2.72963 (458*2π)/5631 weeks
4591.58973 -4.52435 (459*2π)/5631 weeks
4604.08739 -3.03372 (460*2π)/5631 weeks
4614.19549 -.08539 (461*2π)/5631 weeks
4621.77272 1.41306 (462*2π)/5631 weeks
463-.95379 -.16336 (463*2π)/5631 weeks
464-1.01355 -2.90159 (464*2π)/5631 weeks
465.71847 -3.97555 (465*2π)/5631 weeks
4661.63004 -2.81443 (466*2π)/5631 weeks
4671.21549 -3.26702 (467*2π)/5631 weeks
4682.92614 -3.56205 (468*2π)/5631 weeks
4693.53515 -1.43282 (469*2π)/5631 weeks
4701.50643 .08654 (470*2π)/5631 weeks
471-1.52045 -1.38473 (471*2π)/5631 weeks
472-1.11756 -5.60284 (472*2π)/5631 weeks
4733.09223 -6.8754 (473*2π)/5631 weeks
4746.3653 -3.68502 (474*2π)/5631 weeks
4755.54238 .89947 (475*2π)/5631 weeks
476.25574 2.2214 (476*2π)/5631 weeks
477-2.51276 -2.07387 (477*2π)/5631 weeks
478-.93693 -5.77979 (478*2π)/5631 weeks
4793.79229 -7.57733 (479*2π)/5631 weeks
4807.32897 -2.91533 (480*2π)/5631 weeks
4815.10772 1.58785 (481*2π)/5631 weeks
482.10335 2.71998 (482*2π)/5631 weeks
483-3.36592 -2.27445 (483*2π)/5631 weeks
484.41808 -6.47837 (484*2π)/5631 weeks
4853.75298 -5.03629 (485*2π)/5631 weeks
4866.16441 -2.709 (486*2π)/5631 weeks
4874.94475 2.56198 (487*2π)/5631 weeks
488-1.57025 3.50347 (488*2π)/5631 weeks
489-5.00194 -1.35589 (489*2π)/5631 weeks
490-2.98802 -6.89258 (490*2π)/5631 weeks
4912.44456 -7.13104 (491*2π)/5631 weeks
4923.35921 -2.83756 (492*2π)/5631 weeks
493.81277 -2.82971 (493*2π)/5631 weeks
494.50577 -3.92933 (494*2π)/5631 weeks
4951.26982 -5.65863 (495*2π)/5631 weeks
4963.61007 -4.00461 (496*2π)/5631 weeks
4972.77071 -2.03076 (497*2π)/5631 weeks
4981.4171 -2.63176 (498*2π)/5631 weeks
499.89239 -3.47763 (499*2π)/5631 weeks
5002.52804 -3.92452 (500*2π)/5631 weeks
5011.90892 -1.00601 (501*2π)/5631 weeks
502-1.52105 -1.95108 (502*2π)/5631 weeks
503-2.37001 -5.60891 (503*2π)/5631 weeks
504.65338 -9.30291 (504*2π)/5631 weeks
5056.07885 -8.44201 (505*2π)/5631 weeks
5067.83807 -1.7385 (506*2π)/5631 weeks
5072.88507 1.23137 (507*2π)/5631 weeks
508-.9576 -.452 (508*2π)/5631 weeks
509-1.17004 -4.23955 (509*2π)/5631 weeks
5101.30537 -5.20044 (510*2π)/5631 weeks
5111.99506 -3.6167 (511*2π)/5631 weeks
5121.18532 -2.75133 (512*2π)/5631 weeks
513-.80907 -2.32578 (513*2π)/5631 weeks
514-1.26744 -4.24449 (514*2π)/5631 weeks
515-1.99697 -5.75303 (515*2π)/5631 weeks
516-.71363 -7.41467 (516*2π)/5631 weeks
517.02824 -7.25584 (517*2π)/5631 weeks
518.74457 -8.55074 (518*2π)/5631 weeks
5191.9865 -8.78037 (519*2π)/5631 weeks
5204.57731 -8.45683 (520*2π)/5631 weeks
5216.03176 -4.17303 (521*2π)/5631 weeks
5221.73942 -2.41495 (522*2π)/5631 weeks
523-1.33365 -4.56472 (523*2π)/5631 weeks
524-2.18601 -8.86255 (524*2π)/5631 weeks
5252.52474 -13.26843 (525*2π)/5631 weeks
52610.55164 -9.46149 (526*2π)/5631 weeks
52710.65516 .24672 (527*2π)/5631 weeks
528.46877 7.11037 (528*2π)/5631 weeks
529-12.4399 -1.61722 (529*2π)/5631 weeks
530-9.20306 -16.37278 (530*2π)/5631 weeks
5314.43441 -19.06494 (531*2π)/5631 weeks
53212.33267 -8.72854 (532*2π)/5631 weeks
5337.0913 2.21646 (533*2π)/5631 weeks
534-6.32658 1.39943 (534*2π)/5631 weeks
535-12.07976 -9.89583 (535*2π)/5631 weeks
536-7.06308 -21.33186 (536*2π)/5631 weeks
5376.27743 -20.79006 (537*2π)/5631 weeks
53810.16052 -11.33479 (538*2π)/5631 weeks
5394.55901 -6.29589 (539*2π)/5631 weeks
540-1.44588 -10.28404 (540*2π)/5631 weeks
541-1.1311 -14.99398 (541*2π)/5631 weeks
5422.02176 -17.92118 (542*2π)/5631 weeks
5436.74657 -18.00879 (543*2π)/5631 weeks
54411.65717 -16.33018 (544*2π)/5631 weeks
54511.94029 -8.35834 (545*2π)/5631 weeks
5465.13998 -6.0349 (546*2π)/5631 weeks
547-1.00497 -4.83284 (547*2π)/5631 weeks
548-10.86542 -12.19606 (548*2π)/5631 weeks
549-8.88892 -28.48606 (549*2π)/5631 weeks
5504.97746 -37.6334 (550*2π)/5631 weeks
55125.93347 -29.5619 (551*2π)/5631 weeks
55225.2796 -6.30705 (552*2π)/5631 weeks
5536.2961 4.52934 (553*2π)/5631 weeks
554-24.83203 -3.63325 (554*2π)/5631 weeks
555-36.23142 -47.21638 (555*2π)/5631 weeks
5564.84475 -81.89595 (556*2π)/5631 weeks
55751.44828 -61.54407 (557*2π)/5631 weeks
55852.05003 -18.11723 (558*2π)/5631 weeks
5595.04984 -4.52865 (559*2π)/5631 weeks
560-42.93444 -58.9722 (560*2π)/5631 weeks
5616.55293 -159.3373 (561*2π)/5631 weeks



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