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Fourier Analysis of RXD (ProShares UltraShort Health Car)


RXD (ProShares UltraShort Health Car) appears to have interesting cyclic behaviour every 47 weeks (27.0401*sine), 29 weeks (23.1887*sine), and 52 weeks (22.7093*sine).

RXD (ProShares UltraShort Health Car) has an average price of 389.51 (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 2/1/2007 to 1/9/2017 for RXD (ProShares UltraShort Health Car), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
0389.5093   0 
160.61078 391.2468 (1*2π)/520520 weeks
2-48.39555 149.2384 (2*2π)/520260 weeks
3-51.95219 47.17659 (3*2π)/520173 weeks
42.57989 8.8568 (4*2π)/520130 weeks
532.37759 28.90036 (5*2π)/520104 weeks
613.30584 58.9296 (6*2π)/52087 weeks
7-18.88347 39.12477 (7*2π)/52074 weeks
83.24453 6.49957 (8*2π)/52065 weeks
914.37754 28.48179 (9*2π)/52058 weeks
103.45073 22.70934 (10*2π)/52052 weeks
114.31344 27.04009 (11*2π)/52047 weeks
12-4.14868 22.41583 (12*2π)/52043 weeks
13-5.82274 15.33204 (13*2π)/52040 weeks
14-4.77897 5.63113 (14*2π)/52037 weeks
158.34976 8.80005 (15*2π)/52035 weeks
16.07222 5.90309 (16*2π)/52033 weeks
1717.40995 7.21518 (17*2π)/52031 weeks
1810.36862 23.1887 (18*2π)/52029 weeks
19-1.70661 21.04741 (19*2π)/52027 weeks
20-4.87256 12.40575 (20*2π)/52026 weeks
21-1.31499 5.75497 (21*2π)/52025 weeks
229.45859 6.07166 (22*2π)/52024 weeks
238.51468 15.13522 (23*2π)/52023 weeks
241.82623 20.20194 (24*2π)/52022 weeks
25-9.52394 14.24156 (25*2π)/52021 weeks
26-4.77847 3.03189 (26*2π)/52020 weeks
271.16312 2.67149 (27*2π)/52019 weeks
287.86746 5.2716 (28*2π)/52019 weeks
298.17959 15.95134 (29*2π)/52018 weeks
30-2.58755 17.60927 (30*2π)/52017 weeks
31-8.93313 10.24245 (31*2π)/52017 weeks
32-5.98984 -.24965 (32*2π)/52016 weeks
334.34147 1.18482 (33*2π)/52016 weeks
343.07429 7.50142 (34*2π)/52015 weeks
35-1.17169 6.51504 (35*2π)/52015 weeks
362.0806 4.69115 (36*2π)/52014 weeks
372.48168 6.25046 (37*2π)/52014 weeks
38-1.40266 7.56168 (38*2π)/52014 weeks
392.42221 4.75347 (39*2π)/52013 weeks
40-1.49709 7.76956 (40*2π)/52013 weeks
41.1633 2.39392 (41*2π)/52013 weeks
422.10668 4.95402 (42*2π)/52012 weeks
432.46889 6.68559 (43*2π)/52012 weeks
44-1.02322 8.28479 (44*2π)/52012 weeks
45-2.55455 4.38971 (45*2π)/52012 weeks
46-2.4427 2.96718 (46*2π)/52011 weeks
47.05242 .93757 (47*2π)/52011 weeks
483.02811 2.40673 (48*2π)/52011 weeks
49.85395 5.66184 (49*2π)/52011 weeks
50-.2456 3.40438 (50*2π)/52010 weeks
51-.88289 2.28888 (51*2π)/52010 weeks
522.44065 .22371 (52*2π)/52010 weeks
534.38457 3.8506 (53*2π)/52010 weeks
541.34874 4.52465 (54*2π)/52010 weeks
551.17171 4.38546 (55*2π)/5209 weeks
56-1.1421 3.77181 (56*2π)/5209 weeks
571.94513 .45315 (57*2π)/5209 weeks
582.6213 4.82781 (58*2π)/5209 weeks
59.06976 3.36719 (59*2π)/5209 weeks
60.19857 3.09492 (60*2π)/5209 weeks
611.2338 1.3199 (61*2π)/5209 weeks
623.50209 3.02904 (62*2π)/5208 weeks
63-.24171 3.82069 (63*2π)/5208 weeks
641.7578 2.72921 (64*2π)/5208 weeks
65.78839 1.37629 (65*2π)/5208 weeks
664.31708 3.39521 (66*2π)/5208 weeks
67.46455 7.16189 (67*2π)/5208 weeks
68-3.01158 3.08899 (68*2π)/5208 weeks
69-1.50941 -.24814 (69*2π)/5208 weeks
703.30752 -1.835 (70*2π)/5207 weeks
715.58941 2.73007 (71*2π)/5207 weeks
723.88585 4.81266 (72*2π)/5207 weeks
73.20306 8.46587 (73*2π)/5207 weeks
74-5.90749 1.07289 (74*2π)/5207 weeks
751.08534 -3.63138 (75*2π)/5207 weeks
765.461 -.51484 (76*2π)/5207 weeks
775.49815 4.39138 (77*2π)/5207 weeks
78.91613 6.13804 (78*2π)/5207 weeks
79-1.30281 2.70414 (79*2π)/5207 weeks
80-.29724 -1.03897 (80*2π)/5207 weeks
815.96395 -.33541 (81*2π)/5206 weeks
825.67698 5.3602 (82*2π)/5206 weeks
831.21884 7.72047 (83*2π)/5206 weeks
84-2.21938 4.67137 (84*2π)/5206 weeks
85-2.23788 .16955 (85*2π)/5206 weeks
862.63539 -.67241 (86*2π)/5206 weeks
873.30241 2.89551 (87*2π)/5206 weeks
881.06288 3.58446 (88*2π)/5206 weeks
89.46163 1.41638 (89*2π)/5206 weeks
901.76302 2.8079 (90*2π)/5206 weeks
91.50329 2.88239 (91*2π)/5206 weeks
92-.26174 1.86947 (92*2π)/5206 weeks
93.50701 .61551 (93*2π)/5206 weeks
942.48598 .38626 (94*2π)/5206 weeks
952.572 3.27631 (95*2π)/5205 weeks
96-.15235 4.02982 (96*2π)/5205 weeks
97-1.16631 1.32743 (97*2π)/5205 weeks
98-.44204 -1.14427 (98*2π)/5205 weeks
992.95712 -1.70379 (99*2π)/5205 weeks
1005.00267 1.15015 (100*2π)/5205 weeks
1014.31715 3.40129 (101*2π)/5205 weeks
1021.51665 5.63302 (102*2π)/5205 weeks
103-2.04782 3.23068 (103*2π)/5205 weeks
104-1.46145 -.16392 (104*2π)/5205 weeks
1052.63498 -1.69382 (105*2π)/5205 weeks
1064.84371 2.16516 (106*2π)/5205 weeks
1071.72041 4.63069 (107*2π)/5205 weeks
108-1.007 2.80936 (108*2π)/5205 weeks
109-.63962 .05011 (109*2π)/5205 weeks
1102.32439 -.58981 (110*2π)/5205 weeks
1113.01521 1.52426 (111*2π)/5205 weeks
1122.43081 3.41864 (112*2π)/5205 weeks
113-.67605 2.88298 (113*2π)/5205 weeks
114.07614 .53813 (114*2π)/5205 weeks
1152.30124 .68118 (115*2π)/5205 weeks
1161.74944 1.72836 (116*2π)/5204 weeks
1171.27091 2.60203 (117*2π)/5204 weeks
118.15397 1.0077 (118*2π)/5204 weeks
1191.52815 .0668 (119*2π)/5204 weeks
1202.30418 1.81087 (120*2π)/5204 weeks
121.23228 2.46828 (121*2π)/5204 weeks
122.0708 -.32697 (122*2π)/5204 weeks
1233.19948 -.39464 (123*2π)/5204 weeks
1242.88899 1.87941 (124*2π)/5204 weeks
1252.20587 2.49494 (125*2π)/5204 weeks
1261.40539 2.95254 (126*2π)/5204 weeks
127-.1209 2.30292 (127*2π)/5204 weeks
128.807 .17702 (128*2π)/5204 weeks
1291.67846 .70073 (129*2π)/5204 weeks
1302.26233 1.18237 (130*2π)/5204 weeks
1311.5642 2.83589 (131*2π)/5204 weeks
132-.02694 1.51532 (132*2π)/5204 weeks
133.28764 .54473 (133*2π)/5204 weeks
1342.79698 -.75722 (134*2π)/5204 weeks
1353.59919 3.39626 (135*2π)/5204 weeks
136-.52863 3.26139 (136*2π)/5204 weeks
137-.15218 .02585 (137*2π)/5204 weeks
1381.79727 -.04617 (138*2π)/5204 weeks
1391.99569 1.27794 (139*2π)/5204 weeks
140.75627 1.99681 (140*2π)/5204 weeks
141.20288 .40481 (141*2π)/5204 weeks
1421.63712 -.72699 (142*2π)/5204 weeks
1434.1507 .87944 (143*2π)/5204 weeks
1441.46692 3.85247 (144*2π)/5204 weeks
145-.23397 1.24795 (145*2π)/5204 weeks
146.59171 -.03788 (146*2π)/5204 weeks
1472.01917 -.12156 (147*2π)/5204 weeks
1482.51269 1.29872 (148*2π)/5204 weeks
1491.9842 1.85737 (149*2π)/5203 weeks
150.72492 2.83843 (150*2π)/5203 weeks
151-.53465 .03627 (151*2π)/5203 weeks
1521.94619 -.67153 (152*2π)/5203 weeks
1532.79784 .93016 (153*2π)/5203 weeks
1542.47803 1.96045 (154*2π)/5203 weeks
1552.11946 2.46418 (155*2π)/5203 weeks
156-.47216 2.91661 (156*2π)/5203 weeks
157-.12622 .61302 (157*2π)/5203 weeks
158-.19539 .45281 (158*2π)/5203 weeks
1591.36939 -.72138 (159*2π)/5203 weeks
1602.22617 .42778 (160*2π)/5203 weeks
1611.78466 1.68264 (161*2π)/5203 weeks
162.16229 1.71086 (162*2π)/5203 weeks
163.00937 -.37663 (163*2π)/5203 weeks
1641.77355 -.18713 (164*2π)/5203 weeks
1652.29462 .22068 (165*2π)/5203 weeks
1662.51263 1.60897 (166*2π)/5203 weeks
1671.3582 2.03349 (167*2π)/5203 weeks
168.43193 1.40187 (168*2π)/5203 weeks
169-.15365 .6792 (169*2π)/5203 weeks
170.76635 -.69607 (170*2π)/5203 weeks
1711.68434 -.69305 (171*2π)/5203 weeks
1723.27172 .32507 (172*2π)/5203 weeks
1732.12633 2.25747 (173*2π)/5203 weeks
1741.09019 2.03462 (174*2π)/5203 weeks
175-.43874 1.1758 (175*2π)/5203 weeks
176.7219 -.81321 (176*2π)/5203 weeks
1772.39779 -.58521 (177*2π)/5203 weeks
1783.428 1.70251 (178*2π)/5203 weeks
179.27244 3.45215 (179*2π)/5203 weeks
180-1.42149 .60888 (180*2π)/5203 weeks
181-.2506 -2.00365 (181*2π)/5203 weeks
1823.2055 -2.01584 (182*2π)/5203 weeks
1833.62973 .66234 (183*2π)/5203 weeks
1843.38205 1.93178 (184*2π)/5203 weeks
185.21793 3.17304 (185*2π)/5203 weeks
186.32005 -.25007 (186*2π)/5203 weeks
1871.52757 .28703 (187*2π)/5203 weeks
1882.18904 .1138 (188*2π)/5203 weeks
1892.30189 2.05846 (189*2π)/5203 weeks
1901.00576 1.50067 (190*2π)/5203 weeks
191.3665 2.2501 (191*2π)/5203 weeks
192-.98362 -.19017 (192*2π)/5203 weeks
193.91998 -.40586 (193*2π)/5203 weeks
1941.30681 -1.26427 (194*2π)/5203 weeks
1953.43098 -.48879 (195*2π)/5203 weeks
1962.77752 1.99312 (196*2π)/5203 weeks
197.95943 2.52067 (197*2π)/5203 weeks
198-.99019 .80236 (198*2π)/5203 weeks
199.90492 -1.60931 (199*2π)/5203 weeks
2002.58403 -.64837 (200*2π)/5203 weeks
2013.446 1.39001 (201*2π)/5203 weeks
2021.11916 3.70545 (202*2π)/5203 weeks
203-1.48224 .90727 (203*2π)/5203 weeks
204-.41821 -1.51286 (204*2π)/5203 weeks
2052.3511 -2.28132 (205*2π)/5203 weeks
2064.00906 .85081 (206*2π)/5203 weeks
2072.0672 2.09135 (207*2π)/5203 weeks
2081.00904 2.15905 (208*2π)/5203 weeks
209-.00643 1.1308 (209*2π)/5202 weeks
210.51754 -.09602 (210*2π)/5202 weeks
2111.72187 .43549 (211*2π)/5202 weeks
212.53993 1.3007 (212*2π)/5202 weeks
213.40356 -.21037 (213*2π)/5202 weeks
2141.32555 -.57088 (214*2π)/5202 weeks
2152.73836 .93693 (215*2π)/5202 weeks
216.36597 2.03249 (216*2π)/5202 weeks
217-.0535 .46214 (217*2π)/5202 weeks
218-.0129 -.34762 (218*2π)/5202 weeks
2191.79292 -1.09012 (219*2π)/5202 weeks
2202.64996 .70433 (220*2π)/5202 weeks
221.79659 2.10942 (221*2π)/5202 weeks
222-.69061 1.04967 (222*2π)/5202 weeks
223-.96745 -1.22747 (223*2π)/5202 weeks
2241.61255 -2.32025 (224*2π)/5202 weeks
2253.23411 -.77494 (225*2π)/5202 weeks
2263.3023 1.67968 (226*2π)/5202 weeks
227.20467 1.98362 (227*2π)/5202 weeks
228-.19118 .30806 (228*2π)/5202 weeks
229-.22107 -1.23832 (229*2π)/5202 weeks
2302.0007 -1.22777 (230*2π)/5202 weeks
2312.39618 -.14918 (231*2π)/5202 weeks
2322.46886 1.19247 (232*2π)/5202 weeks
233.1706 1.76916 (233*2π)/5202 weeks
234-.35976 -.77756 (234*2π)/5202 weeks
235.67864 -1.59911 (235*2π)/5202 weeks
2362.82409 -1.54934 (236*2π)/5202 weeks
2373.35889 .82596 (237*2π)/5202 weeks
2381.80423 1.88604 (238*2π)/5202 weeks
239-.08005 1.56415 (239*2π)/5202 weeks
240-.68178 .00189 (240*2π)/5202 weeks
241.40393 -1.58929 (241*2π)/5202 weeks
2421.81566 -2.22194 (242*2π)/5202 weeks
2433.87192 .13025 (243*2π)/5202 weeks
2441.56561 1.83415 (244*2π)/5202 weeks
245.42802 1.14794 (245*2π)/5202 weeks
246-1.03603 -.20992 (246*2π)/5202 weeks
2471.39128 -2.62584 (247*2π)/5202 weeks
2483.86464 -.82822 (248*2π)/5202 weeks
2492.23013 1.9098 (249*2π)/5202 weeks
250.57164 1.32118 (250*2π)/5202 weeks
251-.74326 .04092 (251*2π)/5202 weeks
252.21332 -1.94294 (252*2π)/5202 weeks
2532.57748 -2.46396 (253*2π)/5202 weeks
2544.07838 .40551 (254*2π)/5202 weeks
2551.4733 2.08887 (255*2π)/5202 weeks
256.10728 .59913 (256*2π)/5202 weeks
257.04961 -1.05181 (257*2π)/5202 weeks
2581.28871 -1.30659 (258*2π)/5202 weeks
2592.45061 -2.06633 (259*2π)/5202 weeks
2604.42363   (260*2π)/5202 weeks
2612.45061 2.06633 (261*2π)/5202 weeks
2621.28871 1.30659 (262*2π)/5202 weeks
263.04961 1.05181 (263*2π)/5202 weeks
264.10728 -.59913 (264*2π)/5202 weeks
2651.4733 -2.08887 (265*2π)/5202 weeks
2664.07838 -.40551 (266*2π)/5202 weeks
2672.57748 2.46396 (267*2π)/5202 weeks
268.21332 1.94294 (268*2π)/5202 weeks
269-.74326 -.04092 (269*2π)/5202 weeks
270.57164 -1.32118 (270*2π)/5202 weeks
2712.23013 -1.9098 (271*2π)/5202 weeks
2723.86464 .82822 (272*2π)/5202 weeks
2731.39128 2.62584 (273*2π)/5202 weeks
274-1.03603 .20992 (274*2π)/5202 weeks
275.42802 -1.14794 (275*2π)/5202 weeks
2761.56561 -1.83415 (276*2π)/5202 weeks
2773.87192 -.13025 (277*2π)/5202 weeks
2781.81566 2.22194 (278*2π)/5202 weeks
279.40393 1.58929 (279*2π)/5202 weeks
280-.68178 -.00189 (280*2π)/5202 weeks
281-.08005 -1.56415 (281*2π)/5202 weeks
2821.80423 -1.88604 (282*2π)/5202 weeks
2833.35889 -.82596 (283*2π)/5202 weeks
2842.82409 1.54934 (284*2π)/5202 weeks
285.67864 1.59911 (285*2π)/5202 weeks
286-.35976 .77756 (286*2π)/5202 weeks
287.1706 -1.76916 (287*2π)/5202 weeks
2882.46886 -1.19247 (288*2π)/5202 weeks
2892.39618 .14918 (289*2π)/5202 weeks
2902.0007 1.22777 (290*2π)/5202 weeks
291-.22107 1.23832 (291*2π)/5202 weeks
292-.19118 -.30806 (292*2π)/5202 weeks
293.20467 -1.98362 (293*2π)/5202 weeks
2943.3023 -1.67968 (294*2π)/5202 weeks
2953.23411 .77494 (295*2π)/5202 weeks
2961.61255 2.32025 (296*2π)/5202 weeks
297-.96745 1.22747 (297*2π)/5202 weeks
298-.69061 -1.04967 (298*2π)/5202 weeks
299.79659 -2.10942 (299*2π)/5202 weeks
3002.64996 -.70433 (300*2π)/5202 weeks
3011.79292 1.09012 (301*2π)/5202 weeks
302-.0129 .34762 (302*2π)/5202 weeks
303-.0535 -.46214 (303*2π)/5202 weeks
304.36597 -2.03249 (304*2π)/5202 weeks
3052.73836 -.93693 (305*2π)/5202 weeks
3061.32555 .57088 (306*2π)/5202 weeks
307.40356 .21037 (307*2π)/5202 weeks
308.53993 -1.3007 (308*2π)/5202 weeks
3091.72187 -.43549 (309*2π)/5202 weeks
310.51754 .09602 (310*2π)/5202 weeks
311-.00643 -1.1308 (311*2π)/5202 weeks
3121.00904 -2.15905 (312*2π)/5202 weeks
3132.0672 -2.09135 (313*2π)/5202 weeks
3144.00906 -.85081 (314*2π)/5202 weeks
3152.3511 2.28132 (315*2π)/5202 weeks
316-.41821 1.51286 (316*2π)/5202 weeks
317-1.48224 -.90727 (317*2π)/5202 weeks
3181.11916 -3.70545 (318*2π)/5202 weeks
3193.446 -1.39001 (319*2π)/5202 weeks
3202.58403 .64837 (320*2π)/5202 weeks
321.90492 1.60931 (321*2π)/5202 weeks
322-.99019 -.80236 (322*2π)/5202 weeks
323.95943 -2.52067 (323*2π)/5202 weeks
3242.77752 -1.99312 (324*2π)/5202 weeks
3253.43098 .48879 (325*2π)/5202 weeks
3261.30681 1.26427 (326*2π)/5202 weeks
327.91998 .40586 (327*2π)/5202 weeks
328-.98362 .19017 (328*2π)/5202 weeks
329.3665 -2.2501 (329*2π)/5202 weeks
3301.00576 -1.50067 (330*2π)/5202 weeks
3312.30189 -2.05846 (331*2π)/5202 weeks
3322.18904 -.1138 (332*2π)/5202 weeks
3331.52757 -.28703 (333*2π)/5202 weeks
334.32005 .25007 (334*2π)/5202 weeks
335.21793 -3.17304 (335*2π)/5202 weeks
3363.38205 -1.93178 (336*2π)/5202 weeks
3373.62973 -.66234 (337*2π)/5202 weeks
3383.2055 2.01584 (338*2π)/5202 weeks
339-.2506 2.00365 (339*2π)/5202 weeks
340-1.42149 -.60888 (340*2π)/5202 weeks
341.27244 -3.45215 (341*2π)/5202 weeks
3423.428 -1.70251 (342*2π)/5202 weeks
3432.39779 .58521 (343*2π)/5202 weeks
344.7219 .81321 (344*2π)/5202 weeks
345-.43874 -1.1758 (345*2π)/5202 weeks
3461.09019 -2.03462 (346*2π)/5202 weeks
3472.12633 -2.25747 (347*2π)/5201 weeks
3483.27172 -.32507 (348*2π)/5201 weeks
3491.68434 .69305 (349*2π)/5201 weeks
350.76635 .69607 (350*2π)/5201 weeks
351-.15365 -.6792 (351*2π)/5201 weeks
352.43193 -1.40187 (352*2π)/5201 weeks
3531.3582 -2.03349 (353*2π)/5201 weeks
3542.51263 -1.60897 (354*2π)/5201 weeks
3552.29462 -.22068 (355*2π)/5201 weeks
3561.77355 .18713 (356*2π)/5201 weeks
357.00937 .37663 (357*2π)/5201 weeks
358.16229 -1.71086 (358*2π)/5201 weeks
3591.78466 -1.68264 (359*2π)/5201 weeks
3602.22617 -.42778 (360*2π)/5201 weeks
3611.36939 .72138 (361*2π)/5201 weeks
362-.19539 -.45281 (362*2π)/5201 weeks
363-.12622 -.61302 (363*2π)/5201 weeks
364-.47216 -2.91661 (364*2π)/5201 weeks
3652.11946 -2.46418 (365*2π)/5201 weeks
3662.47803 -1.96045 (366*2π)/5201 weeks
3672.79784 -.93016 (367*2π)/5201 weeks
3681.94619 .67153 (368*2π)/5201 weeks
369-.53465 -.03627 (369*2π)/5201 weeks
370.72492 -2.83843 (370*2π)/5201 weeks
3711.9842 -1.85737 (371*2π)/5201 weeks
3722.51269 -1.29872 (372*2π)/5201 weeks
3732.01917 .12156 (373*2π)/5201 weeks
374.59171 .03788 (374*2π)/5201 weeks
375-.23397 -1.24795 (375*2π)/5201 weeks
3761.46692 -3.85247 (376*2π)/5201 weeks
3774.1507 -.87944 (377*2π)/5201 weeks
3781.63712 .72699 (378*2π)/5201 weeks
379.20288 -.40481 (379*2π)/5201 weeks
380.75627 -1.99681 (380*2π)/5201 weeks
3811.99569 -1.27794 (381*2π)/5201 weeks
3821.79727 .04617 (382*2π)/5201 weeks
383-.15218 -.02585 (383*2π)/5201 weeks
384-.52863 -3.26139 (384*2π)/5201 weeks
3853.59919 -3.39626 (385*2π)/5201 weeks
3862.79698 .75722 (386*2π)/5201 weeks
387.28764 -.54473 (387*2π)/5201 weeks
388-.02694 -1.51532 (388*2π)/5201 weeks
3891.5642 -2.83589 (389*2π)/5201 weeks
3902.26233 -1.18237 (390*2π)/5201 weeks
3911.67846 -.70073 (391*2π)/5201 weeks
392.807 -.17702 (392*2π)/5201 weeks
393-.1209 -2.30292 (393*2π)/5201 weeks
3941.40539 -2.95254 (394*2π)/5201 weeks
3952.20587 -2.49494 (395*2π)/5201 weeks
3962.88899 -1.87941 (396*2π)/5201 weeks
3973.19948 .39464 (397*2π)/5201 weeks
398.0708 .32697 (398*2π)/5201 weeks
399.23228 -2.46828 (399*2π)/5201 weeks
4002.30418 -1.81087 (400*2π)/5201 weeks
4011.52815 -.0668 (401*2π)/5201 weeks
402.15397 -1.0077 (402*2π)/5201 weeks
4031.27091 -2.60203 (403*2π)/5201 weeks
4041.74944 -1.72836 (404*2π)/5201 weeks
4052.30124 -.68118 (405*2π)/5201 weeks
406.07614 -.53813 (406*2π)/5201 weeks
407-.67605 -2.88298 (407*2π)/5201 weeks
4082.43081 -3.41864 (408*2π)/5201 weeks
4093.01521 -1.52426 (409*2π)/5201 weeks
4102.32439 .58981 (410*2π)/5201 weeks
411-.63962 -.05011 (411*2π)/5201 weeks
412-1.007 -2.80936 (412*2π)/5201 weeks
4131.72041 -4.63069 (413*2π)/5201 weeks
4144.84371 -2.16516 (414*2π)/5201 weeks
4152.63498 1.69382 (415*2π)/5201 weeks
416-1.46145 .16392 (416*2π)/5201 weeks
417-2.04782 -3.23068 (417*2π)/5201 weeks
4181.51665 -5.63302 (418*2π)/5201 weeks
4194.31715 -3.40129 (419*2π)/5201 weeks
4205.00267 -1.15015 (420*2π)/5201 weeks
4212.95712 1.70379 (421*2π)/5201 weeks
422-.44204 1.14427 (422*2π)/5201 weeks
423-1.16631 -1.32743 (423*2π)/5201 weeks
424-.15235 -4.02982 (424*2π)/5201 weeks
4252.572 -3.27631 (425*2π)/5201 weeks
4262.48598 -.38626 (426*2π)/5201 weeks
427.50701 -.61551 (427*2π)/5201 weeks
428-.26174 -1.86947 (428*2π)/5201 weeks
429.50329 -2.88239 (429*2π)/5201 weeks
4301.76302 -2.8079 (430*2π)/5201 weeks
431.46163 -1.41638 (431*2π)/5201 weeks
4321.06288 -3.58446 (432*2π)/5201 weeks
4333.30241 -2.89551 (433*2π)/5201 weeks
4342.63539 .67241 (434*2π)/5201 weeks
435-2.23788 -.16955 (435*2π)/5201 weeks
436-2.21938 -4.67137 (436*2π)/5201 weeks
4371.21884 -7.72047 (437*2π)/5201 weeks
4385.67698 -5.3602 (438*2π)/5201 weeks
4395.96395 .33541 (439*2π)/5201 weeks
440-.29724 1.03897 (440*2π)/5201 weeks
441-1.30281 -2.70414 (441*2π)/5201 weeks
442.91613 -6.13804 (442*2π)/5201 weeks
4435.49815 -4.39138 (443*2π)/5201 weeks
4445.461 .51484 (444*2π)/5201 weeks
4451.08534 3.63138 (445*2π)/5201 weeks
446-5.90749 -1.07289 (446*2π)/5201 weeks
447.20306 -8.46587 (447*2π)/5201 weeks
4483.88585 -4.81266 (448*2π)/5201 weeks
4495.58941 -2.73007 (449*2π)/5201 weeks
4503.30752 1.835 (450*2π)/5201 weeks
451-1.50941 .24814 (451*2π)/5201 weeks
452-3.01158 -3.08899 (452*2π)/5201 weeks
453.46455 -7.16189 (453*2π)/5201 weeks
4544.31708 -3.39521 (454*2π)/5201 weeks
455.78839 -1.37629 (455*2π)/5201 weeks
4561.7578 -2.72921 (456*2π)/5201 weeks
457-.24171 -3.82069 (457*2π)/5201 weeks
4583.50209 -3.02904 (458*2π)/5201 weeks
4591.2338 -1.3199 (459*2π)/5201 weeks
460.19857 -3.09492 (460*2π)/5201 weeks
461.06976 -3.36719 (461*2π)/5201 weeks
4622.6213 -4.82781 (462*2π)/5201 weeks
4631.94513 -.45315 (463*2π)/5201 weeks
464-1.1421 -3.77181 (464*2π)/5201 weeks
4651.17171 -4.38546 (465*2π)/5201 weeks
4661.34874 -4.52465 (466*2π)/5201 weeks
4674.38457 -3.8506 (467*2π)/5201 weeks
4682.44065 -.22371 (468*2π)/5201 weeks
469-.88289 -2.28888 (469*2π)/5201 weeks
470-.2456 -3.40438 (470*2π)/5201 weeks
471.85395 -5.66184 (471*2π)/5201 weeks
4723.02811 -2.40673 (472*2π)/5201 weeks
473.05242 -.93757 (473*2π)/5201 weeks
474-2.4427 -2.96718 (474*2π)/5201 weeks
475-2.55455 -4.38971 (475*2π)/5201 weeks
476-1.02322 -8.28479 (476*2π)/5201 weeks
4772.46889 -6.68559 (477*2π)/5201 weeks
4782.10668 -4.95402 (478*2π)/5201 weeks
479.1633 -2.39392 (479*2π)/5201 weeks
480-1.49709 -7.76956 (480*2π)/5201 weeks
4812.42221 -4.75347 (481*2π)/5201 weeks
482-1.40266 -7.56168 (482*2π)/5201 weeks
4832.48168 -6.25046 (483*2π)/5201 weeks
4842.0806 -4.69115 (484*2π)/5201 weeks
485-1.17169 -6.51504 (485*2π)/5201 weeks
4863.07429 -7.50142 (486*2π)/5201 weeks
4874.34147 -1.18482 (487*2π)/5201 weeks
488-5.98984 .24965 (488*2π)/5201 weeks
489-8.93313 -10.24245 (489*2π)/5201 weeks
490-2.58755 -17.60927 (490*2π)/5201 weeks
4918.17959 -15.95134 (491*2π)/5201 weeks
4927.86746 -5.2716 (492*2π)/5201 weeks
4931.16312 -2.67149 (493*2π)/5201 weeks
494-4.77847 -3.03189 (494*2π)/5201 weeks
495-9.52394 -14.24156 (495*2π)/5201 weeks
4961.82623 -20.20194 (496*2π)/5201 weeks
4978.51468 -15.13522 (497*2π)/5201 weeks
4989.45859 -6.07166 (498*2π)/5201 weeks
499-1.31499 -5.75497 (499*2π)/5201 weeks
500-4.87256 -12.40575 (500*2π)/5201 weeks
501-1.70661 -21.04741 (501*2π)/5201 weeks
50210.36862 -23.1887 (502*2π)/5201 weeks
50317.40995 -7.21518 (503*2π)/5201 weeks
504.07222 -5.90309 (504*2π)/5201 weeks
5058.34976 -8.80005 (505*2π)/5201 weeks
506-4.77897 -5.63113 (506*2π)/5201 weeks
507-5.82274 -15.33204 (507*2π)/5201 weeks
508-4.14868 -22.41583 (508*2π)/5201 weeks
5094.31344 -27.04009 (509*2π)/5201 weeks
5103.45073 -22.70934 (510*2π)/5201 weeks
51114.37754 -28.48179 (511*2π)/5201 weeks
5123.24453 -6.49957 (512*2π)/5201 weeks
513-18.88347 -39.12477 (513*2π)/5201 weeks
51413.30584 -58.9296 (514*2π)/5201 weeks
51532.37759 -28.90036 (515*2π)/5201 weeks
5162.57989 -8.8568 (516*2π)/5201 weeks
517-51.95219 -47.17659 (517*2π)/5201 weeks
518-48.39555 -149.2384 (518*2π)/5201 weeks

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