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Fourier Analysis of QID (PROSHARES ULTRASHORT QQQ PROSHARES ULTRASHORT QQQ)


QID (PROSHARES ULTRASHORT QQQ PROSHARES ULTRASHORT QQQ) appears to have interesting cyclic behaviour every 60 weeks (55.692*sine), 55 weeks (41.226*sine), and 43 weeks (33.518*cosine).

QID (PROSHARES ULTRASHORT QQQ PROSHARES ULTRASHORT QQQ) has an average price of 321.78 (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 7/13/2006 to 1/16/2018 for QID (PROSHARES ULTRASHORT QQQ PROSHARES ULTRASHORT QQQ), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
0321.7811   0 
1174.2219 362.6619 (1*2π)/602602 weeks
2-43.54598 188.1492 (2*2π)/602301 weeks
3-28.9429 36.0174 (3*2π)/602201 weeks
455.61655 23.23513 (4*2π)/602151 weeks
567.86472 82.50954 (5*2π)/602120 weeks
66.73899 99.9856 (6*2π)/602100 weeks
7-28.58784 51.9581 (7*2π)/60286 weeks
8.10466 4.98602 (8*2π)/60275 weeks
938.51338 31.78848 (9*2π)/60267 weeks
1012.47961 55.692 (10*2π)/60260 weeks
11-10.14335 41.22595 (11*2π)/60255 weeks
12-13.16097 15.22068 (12*2π)/60250 weeks
1312.6316 -1.79435 (13*2π)/60246 weeks
1433.51799 19.15862 (14*2π)/60243 weeks
1520.83018 41.07924 (15*2π)/60240 weeks
16.38233 38.30698 (16*2π)/60238 weeks
17-6.21039 24.05563 (17*2π)/60235 weeks
18-2.14356 14.47748 (18*2π)/60233 weeks
198.37576 7.31377 (19*2π)/60232 weeks
2016.48476 17.547 (20*2π)/60230 weeks
2111.59106 23.90325 (21*2π)/60229 weeks
225.69613 24.49274 (22*2π)/60227 weeks
233.45112 22.30501 (23*2π)/60226 weeks
24-.86889 20.0966 (24*2π)/60225 weeks
252.70308 14.00752 (25*2π)/60224 weeks
261.6612 18.98022 (26*2π)/60223 weeks
27-2.57955 15.43775 (27*2π)/60222 weeks
28-2.50211 8.33378 (28*2π)/60222 weeks
298.36893 4.40825 (29*2π)/60221 weeks
3011.86702 14.40435 (30*2π)/60220 weeks
316.92363 20.66438 (31*2π)/60219 weeks
32-5.19495 19.61542 (32*2π)/60219 weeks
33-6.9481 5.99926 (33*2π)/60218 weeks
346.41262 .03754 (34*2π)/60218 weeks
3515.81084 10.59013 (35*2π)/60217 weeks
367.72824 23.62427 (36*2π)/60217 weeks
37-8.37288 18.54851 (37*2π)/60216 weeks
38-5.66704 3.65732 (38*2π)/60216 weeks
394.75291 2.8942 (39*2π)/60215 weeks
408.25142 9.49292 (40*2π)/60215 weeks
413.81351 12.6041 (41*2π)/60215 weeks
421.4991 11.49929 (42*2π)/60214 weeks
43.1594 9.06271 (43*2π)/60214 weeks
442.28911 6.44005 (44*2π)/60214 weeks
454.19786 10.44629 (45*2π)/60213 weeks
46-.3956 9.03246 (46*2π)/60213 weeks
472.01819 5.96568 (47*2π)/60213 weeks
482.34462 7.97503 (48*2π)/60213 weeks
491.9538 6.94596 (49*2π)/60212 weeks
501.13073 5.30103 (50*2π)/60212 weeks
515.48037 2.88431 (51*2π)/60212 weeks
528.32984 8.9797 (52*2π)/60212 weeks
535.19215 11.60856 (53*2π)/60211 weeks
54.75786 11.50651 (54*2π)/60211 weeks
55-.95199 7.87655 (55*2π)/60211 weeks
561.71446 5.41965 (56*2π)/60211 weeks
573.15612 8.15385 (57*2π)/60211 weeks
58.95362 8.32245 (58*2π)/60210 weeks
59-1.02591 6.63329 (59*2π)/60210 weeks
60.3166 2.33116 (60*2π)/60210 weeks
616.27081 3.61174 (61*2π)/60210 weeks
623.82146 9.45794 (62*2π)/60210 weeks
63.25946 7.47076 (63*2π)/60210 weeks
64.49997 4.79007 (64*2π)/6029 weeks
652.63962 4.35524 (65*2π)/6029 weeks
663.11065 6.17378 (66*2π)/6029 weeks
67.68843 5.51281 (67*2π)/6029 weeks
682.56444 2.64529 (68*2π)/6029 weeks
695.2612 4.90204 (69*2π)/6029 weeks
704.31392 8.28337 (70*2π)/6029 weeks
71-.38625 7.97789 (71*2π)/6028 weeks
72-.80694 3.13259 (72*2π)/6028 weeks
733.87053 2.65827 (73*2π)/6028 weeks
743.87331 5.01624 (74*2π)/6028 weeks
752.71501 6.46481 (75*2π)/6028 weeks
76.31941 3.35972 (76*2π)/6028 weeks
775.80142 1.82171 (77*2π)/6028 weeks
787.14624 8.12768 (78*2π)/6028 weeks
79.53343 10.92775 (79*2π)/6028 weeks
80-3.68492 4.93797 (80*2π)/6028 weeks
811.38279 -.64527 (81*2π)/6027 weeks
826.12241 3.40093 (82*2π)/6027 weeks
833.6829 6.24421 (83*2π)/6027 weeks
842.70578 6.95413 (84*2π)/6027 weeks
85-1.00628 5.1648 (85*2π)/6027 weeks
862.63373 .59985 (86*2π)/6027 weeks
876.50371 4.85889 (87*2π)/6027 weeks
883.79165 8.7519 (88*2π)/6027 weeks
89-1.22045 8.15184 (89*2π)/6027 weeks
90-1.97256 2.95265 (90*2π)/6027 weeks
911.60606 1.17957 (91*2π)/6027 weeks
924.9341 2.94185 (92*2π)/6027 weeks
933.83817 8.33815 (93*2π)/6026 weeks
94-2.53255 7.10766 (94*2π)/6026 weeks
95-2.34811 1.02218 (95*2π)/6026 weeks
962.65539 -.57071 (96*2π)/6026 weeks
975.23615 3.23638 (97*2π)/6026 weeks
982.67334 6.55972 (98*2π)/6026 weeks
99-.69432 5.0662 (99*2π)/6026 weeks
100-.14016 1.49267 (100*2π)/6026 weeks
1012.84037 1.47037 (101*2π)/6026 weeks
1022.51366 3.7814 (102*2π)/6026 weeks
1031.20877 2.27059 (103*2π)/6026 weeks
1043.07103 2.5778 (104*2π)/6026 weeks
1051.9552 3.4277 (105*2π)/6026 weeks
1061.57679 2.35914 (106*2π)/6026 weeks
1072.79759 .97832 (107*2π)/6026 weeks
1085.38664 2.56566 (108*2π)/6026 weeks
1094.2589 5.97482 (109*2π)/6026 weeks
110.44438 5.63305 (110*2π)/6025 weeks
111-.37368 2.10884 (111*2π)/6025 weeks
1123.19846 .69061 (112*2π)/6025 weeks
1135.3351 4.12093 (113*2π)/6025 weeks
1142.22327 7.11203 (114*2π)/6025 weeks
115-2.51791 5.64768 (115*2π)/6025 weeks
116-2.36032 -.87127 (116*2π)/6025 weeks
1173.18577 -2.13727 (117*2π)/6025 weeks
1186.61408 2.01469 (118*2π)/6025 weeks
1193.60437 6.35347 (119*2π)/6025 weeks
120-1.11336 4.25224 (120*2π)/6025 weeks
121-.07727 -.8575 (121*2π)/6025 weeks
1225.14206 -.47047 (122*2π)/6025 weeks
1235.97503 3.87171 (123*2π)/6025 weeks
1243.00239 6.18666 (124*2π)/6025 weeks
125-.78045 4.18741 (125*2π)/6025 weeks
126.6706 .05512 (126*2π)/6025 weeks
1274.36009 .79789 (127*2π)/6025 weeks
1284.43376 4.02018 (128*2π)/6025 weeks
1292.22021 5.00392 (129*2π)/6025 weeks
130.46965 3.30722 (130*2π)/6025 weeks
1311.94932 1.68406 (131*2π)/6025 weeks
1322.95587 2.46072 (132*2π)/6025 weeks
1332.73975 4.51691 (133*2π)/6025 weeks
134-.28036 4.53235 (134*2π)/6024 weeks
135-1.22034 1.00961 (135*2π)/6024 weeks
1362.22455 -.35459 (136*2π)/6024 weeks
1373.4143 1.56154 (137*2π)/6024 weeks
1382.36064 2.86992 (138*2π)/6024 weeks
1391.37049 2.27573 (139*2π)/6024 weeks
1401.80259 2.02692 (140*2π)/6024 weeks
1411.47846 1.32652 (141*2π)/6024 weeks
1422.42612 1.147 (142*2π)/6024 weeks
1432.34258 2.12248 (143*2π)/6024 weeks
1441.18917 1.13025 (144*2π)/6024 weeks
1452.68178 -.44203 (145*2π)/6024 weeks
1464.94388 1.22352 (146*2π)/6024 weeks
1473.86558 3.45038 (147*2π)/6024 weeks
1482.36388 3.49824 (148*2π)/6024 weeks
149.81615 1.87211 (149*2π)/6024 weeks
1502.85175 .62432 (150*2π)/6024 weeks
1513.37129 2.54616 (151*2π)/6024 weeks
1522.18195 2.03301 (152*2π)/6024 weeks
1532.82443 1.66715 (153*2π)/6024 weeks
1543.06479 1.77586 (154*2π)/6024 weeks
1552.65126 2.96028 (155*2π)/6024 weeks
1561.60334 1.4678 (156*2π)/6024 weeks
1573.77049 1.41963 (157*2π)/6024 weeks
1583.40775 3.49554 (158*2π)/6024 weeks
1591.63419 3.15379 (159*2π)/6024 weeks
1601.2131 1.56503 (160*2π)/6024 weeks
1612.80059 .95864 (161*2π)/6024 weeks
1623.46456 2.56505 (162*2π)/6024 weeks
1632.23454 3.10673 (163*2π)/6024 weeks
164.885 2.36129 (164*2π)/6024 weeks
1651.89766 .12113 (165*2π)/6024 weeks
1664.04552 1.94 (166*2π)/6024 weeks
1672.28276 2.90566 (167*2π)/6024 weeks
1681.72497 2.50628 (168*2π)/6024 weeks
1691.34175 1.41166 (169*2π)/6024 weeks
1702.43531 .92418 (170*2π)/6024 weeks
1712.9447 1.43326 (171*2π)/6024 weeks
1723.00222 2.04481 (172*2π)/6024 weeks
1731.788 2.76763 (173*2π)/6023 weeks
1741.40735 .6549 (174*2π)/6023 weeks
1753.25911 1.07724 (175*2π)/6023 weeks
1762.89866 1.68455 (176*2π)/6023 weeks
1773.06937 1.77594 (177*2π)/6023 weeks
1782.77036 2.27204 (178*2π)/6023 weeks
1792.09185 2.12634 (179*2π)/6023 weeks
1802.77765 .81606 (180*2π)/6023 weeks
1813.96283 1.85859 (181*2π)/6023 weeks
1823.97578 3.2196 (182*2π)/6023 weeks
1832.18961 4.35023 (183*2π)/6023 weeks
184.28541 2.89887 (184*2π)/6023 weeks
1851.33901 .91649 (185*2π)/6023 weeks
1862.77157 1.76356 (186*2π)/6023 weeks
1872.2945 2.5164 (187*2π)/6023 weeks
1881.55045 2.79312 (188*2π)/6023 weeks
189.79706 1.8574 (189*2π)/6023 weeks
1901.19709 .67993 (190*2π)/6023 weeks
1912.85652 .49852 (191*2π)/6023 weeks
1923.60716 2.46901 (192*2π)/6023 weeks
1931.523 3.76794 (193*2π)/6023 weeks
194-.16709 1.97977 (194*2π)/6023 weeks
195.27904 -.20402 (195*2π)/6023 weeks
1963.04711 -.67868 (196*2π)/6023 weeks
1974.10879 1.90509 (197*2π)/6023 weeks
1982.04441 3.29911 (198*2π)/6023 weeks
199.46315 1.72793 (199*2π)/6023 weeks
2001.60589 -.17746 (200*2π)/6023 weeks
2013.55346 .47881 (201*2π)/6023 weeks
2023.67214 2.76843 (202*2π)/6023 weeks
2031.58394 3.07582 (203*2π)/6023 weeks
2041.01553 1.98577 (204*2π)/6023 weeks
2051.40456 .77724 (205*2π)/6023 weeks
2062.55044 1.55211 (206*2π)/6023 weeks
2071.4887 2.47823 (207*2π)/6023 weeks
208.50619 1.42832 (208*2π)/6023 weeks
209.92843 -.00561 (209*2π)/6023 weeks
2102.52134 -.16322 (210*2π)/6023 weeks
2113.04331 .78789 (211*2π)/6023 weeks
2123.77647 1.57204 (212*2π)/6023 weeks
2132.33877 3.94633 (213*2π)/6023 weeks
214-.72769 2.07238 (214*2π)/6023 weeks
215.47368 -.29389 (215*2π)/6023 weeks
2162.2944 -.82475 (216*2π)/6023 weeks
2173.83547 .65781 (217*2π)/6023 weeks
2183.00782 2.12216 (218*2π)/6023 weeks
2191.9698 1.93689 (219*2π)/6023 weeks
2201.34504 1.419 (220*2π)/6023 weeks
2212.78742 .46162 (221*2π)/6023 weeks
2222.81237 2.6946 (222*2π)/6023 weeks
2231.2491 2.35565 (223*2π)/6023 weeks
224.51183 2.00105 (224*2π)/6023 weeks
225.25281 -.10231 (225*2π)/6023 weeks
2262.96469 -.93226 (226*2π)/6023 weeks
2273.96689 2.09613 (227*2π)/6023 weeks
2281.52436 3.47233 (228*2π)/6023 weeks
229-.63253 1.42444 (229*2π)/6023 weeks
2301.17804 -.80058 (230*2π)/6023 weeks
2312.77335 .4782 (231*2π)/6023 weeks
2322.61723 1.72558 (232*2π)/6023 weeks
2331.03042 2.17565 (233*2π)/6023 weeks
234.01103 .01952 (234*2π)/6023 weeks
2352.45418 -.75259 (235*2π)/6023 weeks
2363.49436 1.00058 (236*2π)/6023 weeks
2372.18 2.52143 (237*2π)/6023 weeks
238.36664 1.46335 (238*2π)/6023 weeks
2391.07282 -.04128 (239*2π)/6023 weeks
2402.16049 .29212 (240*2π)/6023 weeks
2412.06886 .54088 (241*2π)/6022 weeks
2422.41465 .59975 (242*2π)/6022 weeks
2432.36986 1.18314 (243*2π)/6022 weeks
2442.4509 1.24404 (244*2π)/6022 weeks
2452.14377 2.54917 (245*2π)/6022 weeks
246.03518 1.90185 (246*2π)/6022 weeks
247.59164 .12127 (247*2π)/6022 weeks
2481.80499 .06977 (248*2π)/6022 weeks
2491.99949 1.76011 (249*2π)/6022 weeks
250-.20636 1.45636 (250*2π)/6022 weeks
251-.07462 -.59347 (251*2π)/6022 weeks
2521.36545 -1.49211 (252*2π)/6022 weeks
2533.21065 -1.01188 (253*2π)/6022 weeks
2543.28611 1.61205 (254*2π)/6022 weeks
255.55464 2.0105 (255*2π)/6022 weeks
256-.23453 -.58406 (256*2π)/6022 weeks
2572.25171 -2.23463 (257*2π)/6022 weeks
2584.59474 .09068 (258*2π)/6022 weeks
2592.84558 2.75005 (259*2π)/6022 weeks
260.27864 2.16592 (260*2π)/6022 weeks
261-.56713 -.31466 (261*2π)/6022 weeks
2622.23179 -2.23417 (262*2π)/6022 weeks
2633.76719 .38053 (263*2π)/6022 weeks
2642.50633 1.79637 (264*2π)/6022 weeks
265.66677 1.67364 (265*2π)/6022 weeks
266.53356 -.14213 (266*2π)/6022 weeks
2671.43062 -.46352 (267*2π)/6022 weeks
2682.11058 -.38809 (268*2π)/6022 weeks
2692.28998 .76674 (269*2π)/6022 weeks
270.73117 .78653 (270*2π)/6022 weeks
271.93875 -1.00379 (271*2π)/6022 weeks
2722.24976 -1.38297 (272*2π)/6022 weeks
2733.71666 -.04656 (273*2π)/6022 weeks
2742.73168 2.12795 (274*2π)/6022 weeks
275-.01526 1.73048 (275*2π)/6022 weeks
276-.44351 -.87812 (276*2π)/6022 weeks
2771.284 -2.34055 (277*2π)/6022 weeks
2783.8094 -1.93011 (278*2π)/6022 weeks
2794.35661 1.22823 (279*2π)/6022 weeks
2801.6488 2.8389 (280*2π)/6022 weeks
281-1.24753 .65293 (281*2π)/6022 weeks
282.47939 -2.67636 (282*2π)/6022 weeks
2833.24818 -1.81891 (283*2π)/6022 weeks
2843.42624 .1653 (284*2π)/6022 weeks
2851.62663 1.26299 (285*2π)/6022 weeks
286.18599 -.67656 (286*2π)/6022 weeks
2871.83281 -2.54174 (287*2π)/6022 weeks
2884.11457 -.96225 (288*2π)/6022 weeks
2893.0118 .82806 (289*2π)/6022 weeks
2901.40025 .42495 (290*2π)/6022 weeks
2911.23057 -1.38522 (291*2π)/6022 weeks
2922.87521 -2.03565 (292*2π)/6022 weeks
2934.97176 -.94036 (293*2π)/6022 weeks
2944.29009 2.2169 (294*2π)/6022 weeks
295.6885 1.74257 (295*2π)/6022 weeks
2961.04661 -1.14629 (296*2π)/6022 weeks
2972.85073 -1.22878 (297*2π)/6022 weeks
2984.12293 -.04438 (298*2π)/6022 weeks
2993.48526 1.57869 (299*2π)/6022 weeks
3001.43446 2.37771 (300*2π)/6022 weeks
301-.63111   (301*2π)/6022 weeks
3021.43446 -2.37771 (302*2π)/6022 weeks
3033.48526 -1.57869 (303*2π)/6022 weeks
3044.12293 .04438 (304*2π)/6022 weeks
3052.85073 1.22878 (305*2π)/6022 weeks
3061.04661 1.14629 (306*2π)/6022 weeks
307.6885 -1.74257 (307*2π)/6022 weeks
3084.29009 -2.2169 (308*2π)/6022 weeks
3094.97176 .94036 (309*2π)/6022 weeks
3102.87521 2.03565 (310*2π)/6022 weeks
3111.23057 1.38522 (311*2π)/6022 weeks
3121.40025 -.42495 (312*2π)/6022 weeks
3133.0118 -.82806 (313*2π)/6022 weeks
3144.11457 .96225 (314*2π)/6022 weeks
3151.83281 2.54174 (315*2π)/6022 weeks
316.18599 .67656 (316*2π)/6022 weeks
3171.62663 -1.26299 (317*2π)/6022 weeks
3183.42624 -.1653 (318*2π)/6022 weeks
3193.24818 1.81891 (319*2π)/6022 weeks
320.47939 2.67636 (320*2π)/6022 weeks
321-1.24753 -.65293 (321*2π)/6022 weeks
3221.6488 -2.8389 (322*2π)/6022 weeks
3234.35661 -1.22823 (323*2π)/6022 weeks
3243.8094 1.93011 (324*2π)/6022 weeks
3251.284 2.34055 (325*2π)/6022 weeks
326-.44351 .87812 (326*2π)/6022 weeks
327-.01526 -1.73048 (327*2π)/6022 weeks
3282.73168 -2.12795 (328*2π)/6022 weeks
3293.71666 .04656 (329*2π)/6022 weeks
3302.24976 1.38297 (330*2π)/6022 weeks
331.93875 1.00379 (331*2π)/6022 weeks
332.73117 -.78653 (332*2π)/6022 weeks
3332.28998 -.76674 (333*2π)/6022 weeks
3342.11058 .38809 (334*2π)/6022 weeks
3351.43062 .46352 (335*2π)/6022 weeks
336.53356 .14213 (336*2π)/6022 weeks
337.66677 -1.67364 (337*2π)/6022 weeks
3382.50633 -1.79637 (338*2π)/6022 weeks
3393.76719 -.38053 (339*2π)/6022 weeks
3402.23179 2.23417 (340*2π)/6022 weeks
341-.56713 .31466 (341*2π)/6022 weeks
342.27864 -2.16592 (342*2π)/6022 weeks
3432.84558 -2.75005 (343*2π)/6022 weeks
3444.59474 -.09068 (344*2π)/6022 weeks
3452.25171 2.23463 (345*2π)/6022 weeks
346-.23453 .58406 (346*2π)/6022 weeks
347.55464 -2.0105 (347*2π)/6022 weeks
3483.28611 -1.61205 (348*2π)/6022 weeks
3493.21065 1.01188 (349*2π)/6022 weeks
3501.36545 1.49211 (350*2π)/6022 weeks
351-.07462 .59347 (351*2π)/6022 weeks
352-.20636 -1.45636 (352*2π)/6022 weeks
3531.99949 -1.76011 (353*2π)/6022 weeks
3541.80499 -.06977 (354*2π)/6022 weeks
355.59164 -.12127 (355*2π)/6022 weeks
356.03518 -1.90185 (356*2π)/6022 weeks
3572.14377 -2.54917 (357*2π)/6022 weeks
3582.4509 -1.24404 (358*2π)/6022 weeks
3592.36986 -1.18314 (359*2π)/6022 weeks
3602.41465 -.59975 (360*2π)/6022 weeks
3612.06886 -.54088 (361*2π)/6022 weeks
3622.16049 -.29212 (362*2π)/6022 weeks
3631.07282 .04128 (363*2π)/6022 weeks
364.36664 -1.46335 (364*2π)/6022 weeks
3652.18 -2.52143 (365*2π)/6022 weeks
3663.49436 -1.00058 (366*2π)/6022 weeks
3672.45418 .75259 (367*2π)/6022 weeks
368.01103 -.01952 (368*2π)/6022 weeks
3691.03042 -2.17565 (369*2π)/6022 weeks
3702.61723 -1.72558 (370*2π)/6022 weeks
3712.77335 -.4782 (371*2π)/6022 weeks
3721.17804 .80058 (372*2π)/6022 weeks
373-.63253 -1.42444 (373*2π)/6022 weeks
3741.52436 -3.47233 (374*2π)/6022 weeks
3753.96689 -2.09613 (375*2π)/6022 weeks
3762.96469 .93226 (376*2π)/6022 weeks
377.25281 .10231 (377*2π)/6022 weeks
378.51183 -2.00105 (378*2π)/6022 weeks
3791.2491 -2.35565 (379*2π)/6022 weeks
3802.81237 -2.6946 (380*2π)/6022 weeks
3812.78742 -.46162 (381*2π)/6022 weeks
3821.34504 -1.419 (382*2π)/6022 weeks
3831.9698 -1.93689 (383*2π)/6022 weeks
3843.00782 -2.12216 (384*2π)/6022 weeks
3853.83547 -.65781 (385*2π)/6022 weeks
3862.2944 .82475 (386*2π)/6022 weeks
387.47368 .29389 (387*2π)/6022 weeks
388-.72769 -2.07238 (388*2π)/6022 weeks
3892.33877 -3.94633 (389*2π)/6022 weeks
3903.77647 -1.57204 (390*2π)/6022 weeks
3913.04331 -.78789 (391*2π)/6022 weeks
3922.52134 .16322 (392*2π)/6022 weeks
393.92843 .00561 (393*2π)/6022 weeks
394.50619 -1.42832 (394*2π)/6022 weeks
3951.4887 -2.47823 (395*2π)/6022 weeks
3962.55044 -1.55211 (396*2π)/6022 weeks
3971.40456 -.77724 (397*2π)/6022 weeks
3981.01553 -1.98577 (398*2π)/6022 weeks
3991.58394 -3.07582 (399*2π)/6022 weeks
4003.67214 -2.76843 (400*2π)/6022 weeks
4013.55346 -.47881 (401*2π)/6022 weeks
4021.60589 .17746 (402*2π)/6021 weeks
403.46315 -1.72793 (403*2π)/6021 weeks
4042.04441 -3.29911 (404*2π)/6021 weeks
4054.10879 -1.90509 (405*2π)/6021 weeks
4063.04711 .67868 (406*2π)/6021 weeks
407.27904 .20402 (407*2π)/6021 weeks
408-.16709 -1.97977 (408*2π)/6021 weeks
4091.523 -3.76794 (409*2π)/6021 weeks
4103.60716 -2.46901 (410*2π)/6021 weeks
4112.85652 -.49852 (411*2π)/6021 weeks
4121.19709 -.67993 (412*2π)/6021 weeks
413.79706 -1.8574 (413*2π)/6021 weeks
4141.55045 -2.79312 (414*2π)/6021 weeks
4152.2945 -2.5164 (415*2π)/6021 weeks
4162.77157 -1.76356 (416*2π)/6021 weeks
4171.33901 -.91649 (417*2π)/6021 weeks
418.28541 -2.89887 (418*2π)/6021 weeks
4192.18961 -4.35023 (419*2π)/6021 weeks
4203.97578 -3.2196 (420*2π)/6021 weeks
4213.96283 -1.85859 (421*2π)/6021 weeks
4222.77765 -.81606 (422*2π)/6021 weeks
4232.09185 -2.12634 (423*2π)/6021 weeks
4242.77036 -2.27204 (424*2π)/6021 weeks
4253.06937 -1.77594 (425*2π)/6021 weeks
4262.89866 -1.68455 (426*2π)/6021 weeks
4273.25911 -1.07724 (427*2π)/6021 weeks
4281.40735 -.6549 (428*2π)/6021 weeks
4291.788 -2.76763 (429*2π)/6021 weeks
4303.00222 -2.04481 (430*2π)/6021 weeks
4312.9447 -1.43326 (431*2π)/6021 weeks
4322.43531 -.92418 (432*2π)/6021 weeks
4331.34175 -1.41166 (433*2π)/6021 weeks
4341.72497 -2.50628 (434*2π)/6021 weeks
4352.28276 -2.90566 (435*2π)/6021 weeks
4364.04552 -1.94 (436*2π)/6021 weeks
4371.89766 -.12113 (437*2π)/6021 weeks
438.885 -2.36129 (438*2π)/6021 weeks
4392.23454 -3.10673 (439*2π)/6021 weeks
4403.46456 -2.56505 (440*2π)/6021 weeks
4412.80059 -.95864 (441*2π)/6021 weeks
4421.2131 -1.56503 (442*2π)/6021 weeks
4431.63419 -3.15379 (443*2π)/6021 weeks
4443.40775 -3.49554 (444*2π)/6021 weeks
4453.77049 -1.41963 (445*2π)/6021 weeks
4461.60334 -1.4678 (446*2π)/6021 weeks
4472.65126 -2.96028 (447*2π)/6021 weeks
4483.06479 -1.77586 (448*2π)/6021 weeks
4492.82443 -1.66715 (449*2π)/6021 weeks
4502.18195 -2.03301 (450*2π)/6021 weeks
4513.37129 -2.54616 (451*2π)/6021 weeks
4522.85175 -.62432 (452*2π)/6021 weeks
453.81615 -1.87211 (453*2π)/6021 weeks
4542.36388 -3.49824 (454*2π)/6021 weeks
4553.86558 -3.45038 (455*2π)/6021 weeks
4564.94388 -1.22352 (456*2π)/6021 weeks
4572.68178 .44203 (457*2π)/6021 weeks
4581.18917 -1.13025 (458*2π)/6021 weeks
4592.34258 -2.12248 (459*2π)/6021 weeks
4602.42612 -1.147 (460*2π)/6021 weeks
4611.47846 -1.32652 (461*2π)/6021 weeks
4621.80259 -2.02692 (462*2π)/6021 weeks
4631.37049 -2.27573 (463*2π)/6021 weeks
4642.36064 -2.86992 (464*2π)/6021 weeks
4653.4143 -1.56154 (465*2π)/6021 weeks
4662.22455 .35459 (466*2π)/6021 weeks
467-1.22034 -1.00961 (467*2π)/6021 weeks
468-.28036 -4.53235 (468*2π)/6021 weeks
4692.73975 -4.51691 (469*2π)/6021 weeks
4702.95587 -2.46072 (470*2π)/6021 weeks
4711.94932 -1.68406 (471*2π)/6021 weeks
472.46965 -3.30722 (472*2π)/6021 weeks
4732.22021 -5.00392 (473*2π)/6021 weeks
4744.43376 -4.02018 (474*2π)/6021 weeks
4754.36009 -.79789 (475*2π)/6021 weeks
476.6706 -.05512 (476*2π)/6021 weeks
477-.78045 -4.18741 (477*2π)/6021 weeks
4783.00239 -6.18666 (478*2π)/6021 weeks
4795.97503 -3.87171 (479*2π)/6021 weeks
4805.14206 .47047 (480*2π)/6021 weeks
481-.07727 .8575 (481*2π)/6021 weeks
482-1.11336 -4.25224 (482*2π)/6021 weeks
4833.60437 -6.35347 (483*2π)/6021 weeks
4846.61408 -2.01469 (484*2π)/6021 weeks
4853.18577 2.13727 (485*2π)/6021 weeks
486-2.36032 .87127 (486*2π)/6021 weeks
487-2.51791 -5.64768 (487*2π)/6021 weeks
4882.22327 -7.11203 (488*2π)/6021 weeks
4895.3351 -4.12093 (489*2π)/6021 weeks
4903.19846 -.69061 (490*2π)/6021 weeks
491-.37368 -2.10884 (491*2π)/6021 weeks
492.44438 -5.63305 (492*2π)/6021 weeks
4934.2589 -5.97482 (493*2π)/6021 weeks
4945.38664 -2.56566 (494*2π)/6021 weeks
4952.79759 -.97832 (495*2π)/6021 weeks
4961.57679 -2.35914 (496*2π)/6021 weeks
4971.9552 -3.4277 (497*2π)/6021 weeks
4983.07103 -2.5778 (498*2π)/6021 weeks
4991.20877 -2.27059 (499*2π)/6021 weeks
5002.51366 -3.7814 (500*2π)/6021 weeks
5012.84037 -1.47037 (501*2π)/6021 weeks
502-.14016 -1.49267 (502*2π)/6021 weeks
503-.69432 -5.0662 (503*2π)/6021 weeks
5042.67334 -6.55972 (504*2π)/6021 weeks
5055.23615 -3.23638 (505*2π)/6021 weeks
5062.65539 .57071 (506*2π)/6021 weeks
507-2.34811 -1.02218 (507*2π)/6021 weeks
508-2.53255 -7.10766 (508*2π)/6021 weeks
5093.83817 -8.33815 (509*2π)/6021 weeks
5104.9341 -2.94185 (510*2π)/6021 weeks
5111.60606 -1.17957 (511*2π)/6021 weeks
512-1.97256 -2.95265 (512*2π)/6021 weeks
513-1.22045 -8.15184 (513*2π)/6021 weeks
5143.79165 -8.7519 (514*2π)/6021 weeks
5156.50371 -4.85889 (515*2π)/6021 weeks
5162.63373 -.59985 (516*2π)/6021 weeks
517-1.00628 -5.1648 (517*2π)/6021 weeks
5182.70578 -6.95413 (518*2π)/6021 weeks
5193.6829 -6.24421 (519*2π)/6021 weeks
5206.12241 -3.40093 (520*2π)/6021 weeks
5211.38279 .64527 (521*2π)/6021 weeks
522-3.68492 -4.93797 (522*2π)/6021 weeks
523.53343 -10.92775 (523*2π)/6021 weeks
5247.14624 -8.12768 (524*2π)/6021 weeks
5255.80142 -1.82171 (525*2π)/6021 weeks
526.31941 -3.35972 (526*2π)/6021 weeks
5272.71501 -6.46481 (527*2π)/6021 weeks
5283.87331 -5.01624 (528*2π)/6021 weeks
5293.87053 -2.65827 (529*2π)/6021 weeks
530-.80694 -3.13259 (530*2π)/6021 weeks
531-.38625 -7.97789 (531*2π)/6021 weeks
5324.31392 -8.28337 (532*2π)/6021 weeks
5335.2612 -4.90204 (533*2π)/6021 weeks
5342.56444 -2.64529 (534*2π)/6021 weeks
535.68843 -5.51281 (535*2π)/6021 weeks
5363.11065 -6.17378 (536*2π)/6021 weeks
5372.63962 -4.35524 (537*2π)/6021 weeks
538.49997 -4.79007 (538*2π)/6021 weeks
539.25946 -7.47076 (539*2π)/6021 weeks
5403.82146 -9.45794 (540*2π)/6021 weeks
5416.27081 -3.61174 (541*2π)/6021 weeks
542.3166 -2.33116 (542*2π)/6021 weeks
543-1.02591 -6.63329 (543*2π)/6021 weeks
544.95362 -8.32245 (544*2π)/6021 weeks
5453.15612 -8.15385 (545*2π)/6021 weeks
5461.71446 -5.41965 (546*2π)/6021 weeks
547-.95199 -7.87655 (547*2π)/6021 weeks
548.75786 -11.50651 (548*2π)/6021 weeks
5495.19215 -11.60856 (549*2π)/6021 weeks
5508.32984 -8.9797 (550*2π)/6021 weeks
5515.48037 -2.88431 (551*2π)/6021 weeks
5521.13073 -5.30103 (552*2π)/6021 weeks
5531.9538 -6.94596 (553*2π)/6021 weeks
5542.34462 -7.97503 (554*2π)/6021 weeks
5552.01819 -5.96568 (555*2π)/6021 weeks
556-.3956 -9.03246 (556*2π)/6021 weeks
5574.19786 -10.44629 (557*2π)/6021 weeks
5582.28911 -6.44005 (558*2π)/6021 weeks
559.1594 -9.06271 (559*2π)/6021 weeks
5601.4991 -11.49929 (560*2π)/6021 weeks
5613.81351 -12.6041 (561*2π)/6021 weeks
5628.25142 -9.49292 (562*2π)/6021 weeks
5634.75291 -2.8942 (563*2π)/6021 weeks
564-5.66704 -3.65732 (564*2π)/6021 weeks
565-8.37288 -18.54851 (565*2π)/6021 weeks
5667.72824 -23.62427 (566*2π)/6021 weeks
56715.81084 -10.59013 (567*2π)/6021 weeks
5686.41262 -.03754 (568*2π)/6021 weeks
569-6.9481 -5.99926 (569*2π)/6021 weeks
570-5.19495 -19.61542 (570*2π)/6021 weeks
5716.92363 -20.66438 (571*2π)/6021 weeks
57211.86702 -14.40435 (572*2π)/6021 weeks
5738.36893 -4.40825 (573*2π)/6021 weeks
574-2.50211 -8.33378 (574*2π)/6021 weeks
575-2.57955 -15.43775 (575*2π)/6021 weeks
5761.6612 -18.98022 (576*2π)/6021 weeks
5772.70308 -14.00752 (577*2π)/6021 weeks
578-.86889 -20.0966 (578*2π)/6021 weeks
5793.45112 -22.30501 (579*2π)/6021 weeks
5805.69613 -24.49274 (580*2π)/6021 weeks
58111.59106 -23.90325 (581*2π)/6021 weeks
58216.48476 -17.547 (582*2π)/6021 weeks
5838.37576 -7.31377 (583*2π)/6021 weeks
584-2.14356 -14.47748 (584*2π)/6021 weeks
585-6.21039 -24.05563 (585*2π)/6021 weeks
586.38233 -38.30698 (586*2π)/6021 weeks
58720.83018 -41.07924 (587*2π)/6021 weeks
58833.51799 -19.15862 (588*2π)/6021 weeks
58912.6316 1.79435 (589*2π)/6021 weeks
590-13.16097 -15.22068 (590*2π)/6021 weeks
591-10.14335 -41.22595 (591*2π)/6021 weeks
59212.47961 -55.692 (592*2π)/6021 weeks
59338.51338 -31.78848 (593*2π)/6021 weeks
594.10466 -4.98602 (594*2π)/6021 weeks
595-28.58784 -51.9581 (595*2π)/6021 weeks
5966.73899 -99.9856 (596*2π)/6021 weeks
59767.86472 -82.50954 (597*2π)/6021 weeks
59855.61655 -23.23513 (598*2π)/6021 weeks
599-28.9429 -36.0174 (599*2π)/6021 weeks
600-43.54598 -188.1492 (600*2π)/6021 weeks



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