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Fourier Analysis of SRS (ProShares UltraShort Real Estate ETF)


SRS (ProShares UltraShort Real Estate ETF) appears to have interesting cyclic behaviour every 43 weeks (203.7531*sine), 21 weeks (183.8857*sine), and 40 weeks (165.5602*sine).

SRS (ProShares UltraShort Real Estate ETF) has an average price of 1,197.73 (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 9/5/2017 for SRS (ProShares UltraShort Real Estate ETF), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
01,197.734   0 
11,511.408 1,354.618 (1*2π)/554554 weeks
2303.4517 1,531.495 (2*2π)/554277 weeks
3-419.6069 926.8498 (3*2π)/554185 weeks
4-412.4153 259.5556 (4*2π)/554139 weeks
5-62.55016 42.23835 (5*2π)/554111 weeks
6124.5402 181.3204 (6*2π)/55492 weeks
717.63697 327.8482 (7*2π)/55479 weeks
8-161.8128 247.7147 (8*2π)/55469 weeks
9-165.3957 48.58067 (9*2π)/55462 weeks
10-19.43378 -46.43836 (10*2π)/55455 weeks
11120.3302 17.91948 (11*2π)/55450 weeks
12120.2519 147.867 (12*2π)/55446 weeks
1326.16523 203.7531 (13*2π)/55443 weeks
14-62.24873 165.5602 (14*2π)/55440 weeks
15-90.33719 84.60619 (15*2π)/55437 weeks
16-59.06373 23.00531 (16*2π)/55435 weeks
17-13.02897 2.76226 (17*2π)/55433 weeks
1830.0102 14.57476 (18*2π)/55431 weeks
1938.91039 45.53671 (19*2π)/55429 weeks
2024.2032 61.43801 (20*2π)/55428 weeks
215.39176 51.23602 (21*2π)/55426 weeks
2211.53126 22.20578 (22*2π)/55425 weeks
2356.03647 10.96991 (23*2π)/55424 weeks
24103.5861 60.12121 (24*2π)/55423 weeks
2580.01661 150.6778 (25*2π)/55422 weeks
26-29.88155 183.8857 (26*2π)/55421 weeks
27-128.3622 97.7963 (27*2π)/55421 weeks
28-105.2918 -35.31594 (28*2π)/55420 weeks
2923.91394 -85.38847 (29*2π)/55419 weeks
30129.5462 10.94577 (30*2π)/55418 weeks
3186.40676 151.8548 (31*2π)/55418 weeks
32-65.02004 173.6149 (32*2π)/55417 weeks
33-155.4356 45.09372 (33*2π)/55417 weeks
34-84.51037 -93.65586 (34*2π)/55416 weeks
3561.28363 -94.83863 (35*2π)/55416 weeks
36121.4882 19.92556 (36*2π)/55415 weeks
3757.62697 111.018 (37*2π)/55415 weeks
38-36.88247 94.92581 (38*2π)/55415 weeks
39-59.38409 16.91279 (39*2π)/55414 weeks
40-5.54449 -31.74623 (40*2π)/55414 weeks
4154.80862 -7.2202 (41*2π)/55414 weeks
4258.59932 54.49642 (42*2π)/55413 weeks
4310.26575 78.92229 (43*2π)/55413 weeks
44-28.8368 54.1205 (44*2π)/55413 weeks
45-24.58119 13.30464 (45*2π)/55412 weeks
468.69005 3.39693 (46*2π)/55412 weeks
4727.64321 25.72504 (47*2π)/55412 weeks
4817.49825 50.5062 (48*2π)/55412 weeks
49-10.06019 56.99065 (49*2π)/55411 weeks
50-31.52095 39.92064 (50*2π)/55411 weeks
51-35.24475 11.59327 (51*2π)/55411 weeks
52-17.58075 -7.88965 (52*2π)/55411 weeks
534.99804 -10.67098 (53*2π)/55410 weeks
5420.53882 1.59067 (54*2π)/55410 weeks
5521.33675 18.42111 (55*2π)/55410 weeks
569.64932 27.93308 (56*2π)/55410 weeks
57-4.10493 21.99457 (57*2π)/55410 weeks
58-.52264 3.1899 (58*2π)/55410 weeks
5923.13166 1.29159 (59*2π)/5549 weeks
6036.15779 28.61119 (60*2π)/5549 weeks
6114.2081 58.5793 (61*2π)/5549 weeks
62-31.43459 53.61688 (62*2π)/5549 weeks
63-50.27407 5.33929 (63*2π)/5549 weeks
64-19.36703 -33.10611 (64*2π)/5549 weeks
6526.00123 -29.21933 (65*2π)/5549 weeks
6641.79782 7.15244 (66*2π)/5548 weeks
6720.85135 28.14813 (67*2π)/5548 weeks
685.85294 16.78939 (68*2π)/5548 weeks
6916.05785 4.98547 (69*2π)/5548 weeks
7034.79453 19.12885 (70*2π)/5548 weeks
7123.59753 50.15858 (71*2π)/5548 weeks
72-14.68219 53.85417 (72*2π)/5548 weeks
73-37.89317 22.16519 (73*2π)/5548 weeks
74-24.66626 -14.35197 (74*2π)/5547 weeks
7511.82539 -19.49911 (75*2π)/5547 weeks
7628.53884 5.14989 (76*2π)/5547 weeks
7717.03035 28.96523 (77*2π)/5547 weeks
78-11.56043 28.98756 (78*2π)/5547 weeks
79-22.78826 -2.78293 (79*2π)/5547 weeks
803.58594 -27.33855 (80*2π)/5547 weeks
8140.40298 -16.90674 (81*2π)/5547 weeks
8251.84664 23.84542 (82*2π)/5547 weeks
8321.07407 55.1769 (83*2π)/5547 weeks
84-21.88574 45.69439 (84*2π)/5547 weeks
85-37.48788 2.55598 (85*2π)/5547 weeks
86-5.58542 -32.71144 (86*2π)/5546 weeks
8737.77015 -22.10443 (87*2π)/5546 weeks
8851.39112 17.21598 (88*2π)/5546 weeks
8927.82928 47.3511 (89*2π)/5546 weeks
90-6.06966 45.08994 (90*2π)/5546 weeks
91-20.9062 19.2363 (91*2π)/5546 weeks
92-6.90822 -2.44049 (92*2π)/5546 weeks
9314.68544 1.83092 (93*2π)/5546 weeks
9417.8957 22.53639 (94*2π)/5546 weeks
95-.83335 35.05946 (95*2π)/5546 weeks
96-24.73349 25.78923 (96*2π)/5546 weeks
97-32.42572 -3.18381 (97*2π)/5546 weeks
98-12.56721 -28.40501 (98*2π)/5546 weeks
9920.00576 -26.57087 (99*2π)/5546 weeks
10035.29974 -.33485 (100*2π)/5546 weeks
10121.98338 24.23512 (101*2π)/5545 weeks
102-4.66326 24.89947 (102*2π)/5545 weeks
103-18.91642 .24774 (103*2π)/5545 weeks
104-2.80379 -25.94611 (104*2π)/5545 weeks
10529.73458 -25.79643 (105*2π)/5545 weeks
10648.41387 1.89148 (106*2π)/5545 weeks
10735.0971 33.397 (107*2π)/5545 weeks
1082.38087 38.05584 (108*2π)/5545 weeks
109-17.43206 12.49199 (109*2π)/5545 weeks
110-3.66895 -17.46376 (110*2π)/5545 weeks
11130.59665 -18.28501 (111*2π)/5545 weeks
11248.02288 12.96436 (112*2π)/5545 weeks
11329.86161 44.01747 (113*2π)/5545 weeks
114-4.78342 44.85232 (114*2π)/5545 weeks
115-23.72177 17.88942 (115*2π)/5545 weeks
116-10.72578 -10.2661 (116*2π)/5545 weeks
11717.365 -11.5458 (117*2π)/5545 weeks
11830.06969 12.59738 (118*2π)/5545 weeks
11913.74497 34.01677 (119*2π)/5545 weeks
120-13.73686 29.26558 (120*2π)/5545 weeks
121-23.90718 1.45365 (121*2π)/5545 weeks
122-3.83842 -23.29718 (122*2π)/5545 weeks
12328.36537 -16.99183 (123*2π)/5545 weeks
12439.09485 14.27601 (124*2π)/5544 weeks
12516.85278 38.92702 (125*2π)/5544 weeks
126-13.98389 31.90157 (126*2π)/5544 weeks
127-23.63354 3.59208 (127*2π)/5544 weeks
128-6.54421 -17.47291 (128*2π)/5544 weeks
12917.59782 -13.8566 (129*2π)/5544 weeks
13024.41877 6.48503 (130*2π)/5544 weeks
1319.73296 19.11943 (131*2π)/5544 weeks
132-7.59579 9.69198 (132*2π)/5544 weeks
133-5.20579 -12.89431 (133*2π)/5544 weeks
13420.2501 -22.02341 (134*2π)/5544 weeks
13543.25544 -3.57884 (135*2π)/5544 weeks
13642.1749 27.55768 (136*2π)/5544 weeks
13715.75269 47.63699 (137*2π)/5544 weeks
138-16.55174 38.40687 (138*2π)/5544 weeks
139-28.17395 8.77841 (139*2π)/5544 weeks
140-13.85748 -16.45306 (140*2π)/5544 weeks
14113.19894 -20.36701 (141*2π)/5544 weeks
14229.98324 -.79894 (142*2π)/5544 weeks
14322.3946 22.25827 (143*2π)/5544 weeks
144-2.35753 25.61419 (144*2π)/5544 weeks
145-15.17932 2.58859 (145*2π)/5544 weeks
1463.00041 -18.98679 (146*2π)/5544 weeks
14731.18172 -10.85816 (147*2π)/5544 weeks
14837.45405 20.31579 (148*2π)/5544 weeks
14910.77637 41.78097 (149*2π)/5544 weeks
150-21.57791 28.47204 (150*2π)/5544 weeks
151-26.72328 -6.23646 (151*2π)/5544 weeks
152.39107 -28.33034 (152*2π)/5544 weeks
15331.88062 -16.07792 (153*2π)/5544 weeks
15436.5961 14.92745 (154*2π)/5544 weeks
15513.99006 33.01941 (155*2π)/5544 weeks
156-10.36574 23.40341 (156*2π)/5544 weeks
157-13.33385 -1.03274 (157*2π)/5544 weeks
1586.33006 -13.56506 (158*2π)/5544 weeks
15925.69807 -1.22303 (159*2π)/5543 weeks
16022.21123 21.613 (160*2π)/5543 weeks
1611.02995 28.63819 (161*2π)/5543 weeks
162-16.11066 15.51875 (162*2π)/5543 weeks
163-15.97483 -6.27124 (163*2π)/5543 weeks
1642.17235 -19.7138 (164*2π)/5543 weeks
16524.25204 -11.85489 (165*2π)/5543 weeks
16629.53098 10.98801 (166*2π)/5543 weeks
16714.12733 27.62593 (167*2π)/5543 weeks
168-9.02354 24.50254 (168*2π)/5543 weeks
169-19.10753 2.90089 (169*2π)/5543 weeks
170-6.65091 -16.81453 (170*2π)/5543 weeks
17115.9326 -16.81817 (171*2π)/5543 weeks
17226.94135 2.1367 (172*2π)/5543 weeks
17315.74336 19.86636 (173*2π)/5543 weeks
174-5.34903 17.71163 (174*2π)/5543 weeks
175-13.77861 -2.72179 (175*2π)/5543 weeks
1761.68578 -22.00109 (176*2π)/5543 weeks
17728.48497 -17.86958 (177*2π)/5543 weeks
17839.89829 8.48506 (178*2π)/5543 weeks
17922.95906 33.68314 (179*2π)/5543 weeks
180-8.13024 31.89978 (180*2π)/5543 weeks
181-21.54539 4.22155 (181*2π)/5543 weeks
182-4.59071 -19.69098 (182*2π)/5543 weeks
18323.94711 -16.40787 (183*2π)/5543 weeks
18433.6938 9.68535 (184*2π)/5543 weeks
18516.25138 29.21291 (185*2π)/5543 weeks
186-6.96288 23.25049 (186*2π)/5543 weeks
187-10.51455 3.25534 (187*2π)/5543 weeks
1883.49596 -4.84136 (188*2π)/5543 weeks
18911.87999 4.87808 (189*2π)/5543 weeks
1904.01051 13.88632 (190*2π)/5543 weeks
191-7.9841 7.98956 (191*2π)/5543 weeks
192-7.55349 -5.89378 (192*2π)/5543 weeks
1933.84254 -12.86511 (193*2π)/5543 weeks
19414.1823 -9.03755 (194*2π)/5543 weeks
19518.13957 -1.40585 (195*2π)/5543 weeks
19617.7225 5.16173 (196*2π)/5543 weeks
19713.82611 9.82232 (197*2π)/5543 weeks
19811.21677 10.83277 (198*2π)/5543 weeks
1998.19849 13.37678 (199*2π)/5543 weeks
2002.28233 14.40051 (200*2π)/5543 weeks
201-4.06124 9.69853 (201*2π)/5543 weeks
202-3.67993 .92729 (202*2π)/5543 weeks
2033.7476 -.3352 (203*2π)/5543 weeks
2043.606 5.50125 (204*2π)/5543 weeks
205-3.66889 5.77377 (205*2π)/5543 weeks
206-8.91722 -4.45425 (206*2π)/5543 weeks
207-.10979 -16.87209 (207*2π)/5543 weeks
20815.75151 -14.76169 (208*2π)/5543 weeks
20920.96075 -1.67739 (209*2π)/5543 weeks
21013.30896 6.1934 (210*2π)/5543 weeks
2117.26787 1.0769 (211*2π)/5543 weeks
21213.81392 -3.78937 (212*2π)/5543 weeks
21321.57572 4.6003 (213*2π)/5543 weeks
21415.79598 17.65671 (214*2π)/5543 weeks
215-.53854 19.47395 (215*2π)/5543 weeks
216-10.99818 3.91434 (216*2π)/5543 weeks
217-1.45866 -11.80101 (217*2π)/5543 weeks
21815.75655 -9.86549 (218*2π)/5543 weeks
21919.78987 5.04253 (219*2π)/5543 weeks
2208.40128 11.49598 (220*2π)/5543 weeks
2212.21265 2.47375 (221*2π)/5543 weeks
22211.00738 -4.22273 (222*2π)/5542 weeks
22321.84958 4.57056 (223*2π)/5542 weeks
22417.63505 21.23625 (224*2π)/5542 weeks
225-2.52696 27.39721 (225*2π)/5542 weeks
226-19.42516 11.21589 (226*2π)/5542 weeks
227-14.14942 -11.40189 (227*2π)/5542 weeks
2286.93006 -17.87206 (228*2π)/5542 weeks
22921.6581 -2.68267 (229*2π)/5542 weeks
23013.19123 15.4014 (230*2π)/5542 weeks
231-5.19348 14.5105 (231*2π)/5542 weeks
232-12.12663 -2.46698 (232*2π)/5542 weeks
233.82248 -16.23598 (233*2π)/5542 weeks
23418.53178 -9.64222 (234*2π)/5542 weeks
23520.24641 8.98904 (235*2π)/5542 weeks
2363.6058 19.19104 (236*2π)/5542 weeks
237-13.52465 8.31076 (237*2π)/5542 weeks
238-12.07108 -11.86975 (238*2π)/5542 weeks
2394.40636 -20.09087 (239*2π)/5542 weeks
24019.04963 -13.35901 (240*2π)/5542 weeks
24122.52221 1.5214 (241*2π)/5542 weeks
24213.26306 10.96688 (242*2π)/5542 weeks
2432.34301 9.52127 (243*2π)/5542 weeks
244-1.60529 .39162 (244*2π)/5542 weeks
2453.89077 -5.75197 (245*2π)/5542 weeks
24610.45121 -4.57325 (246*2π)/5542 weeks
24713.326 2.03868 (247*2π)/5542 weeks
2488.15781 8.4359 (248*2π)/5542 weeks
249-1.41003 7.03201 (249*2π)/5542 weeks
250-6.18858 -2.81669 (250*2π)/5542 weeks
251.43574 -14.62556 (251*2π)/5542 weeks
25215.73866 -14.7005 (252*2π)/5542 weeks
25324.21305 -1.51799 (253*2π)/5542 weeks
25418.23331 13.72112 (254*2π)/5542 weeks
255.3012 17.87133 (255*2π)/5542 weeks
256-14.02072 2.93037 (256*2π)/5542 weeks
257-7.66191 -18.63311 (257*2π)/5542 weeks
25816.37297 -24.64833 (258*2π)/5542 weeks
25934.16483 -4.62472 (259*2π)/5542 weeks
26024.35683 20.80962 (260*2π)/5542 weeks
261-2.21975 24.68339 (261*2π)/5542 weeks
262-19.40872 3.42801 (262*2π)/5542 weeks
263-8.24166 -21.92093 (263*2π)/5542 weeks
26418.29886 -23.0771 (264*2π)/5542 weeks
26529.89831 -.98306 (265*2π)/5542 weeks
26616.36474 16.1837 (266*2π)/5542 weeks
267-2.7716 11.79506 (267*2π)/5542 weeks
268-6.17929 -6.15706 (268*2π)/5542 weeks
2698.15765 -16.60575 (269*2π)/5542 weeks
27024.34366 -7.48737 (270*2π)/5542 weeks
27123.07503 11.74839 (271*2π)/5542 weeks
2724.95143 18.93754 (272*2π)/5542 weeks
273-9.26428 7.68645 (273*2π)/5542 weeks
274-8.60824 -9.68378 (274*2π)/5542 weeks
2755.16286 -19.03146 (275*2π)/5542 weeks
27620.84825 -15.09043 (276*2π)/5542 weeks
27728.13869   (277*2π)/5542 weeks
27820.84825 15.09043 (278*2π)/5542 weeks
2795.16286 19.03146 (279*2π)/5542 weeks
280-8.60824 9.68378 (280*2π)/5542 weeks
281-9.26428 -7.68645 (281*2π)/5542 weeks
2824.95143 -18.93754 (282*2π)/5542 weeks
28323.07503 -11.74839 (283*2π)/5542 weeks
28424.34366 7.48737 (284*2π)/5542 weeks
2858.15765 16.60575 (285*2π)/5542 weeks
286-6.17929 6.15706 (286*2π)/5542 weeks
287-2.7716 -11.79506 (287*2π)/5542 weeks
28816.36474 -16.1837 (288*2π)/5542 weeks
28929.89831 .98306 (289*2π)/5542 weeks
29018.29886 23.0771 (290*2π)/5542 weeks
291-8.24166 21.92093 (291*2π)/5542 weeks
292-19.40872 -3.42801 (292*2π)/5542 weeks
293-2.21975 -24.68339 (293*2π)/5542 weeks
29424.35683 -20.80962 (294*2π)/5542 weeks
29534.16483 4.62472 (295*2π)/5542 weeks
29616.37297 24.64833 (296*2π)/5542 weeks
297-7.66191 18.63311 (297*2π)/5542 weeks
298-14.02072 -2.93037 (298*2π)/5542 weeks
299.3012 -17.87133 (299*2π)/5542 weeks
30018.23331 -13.72112 (300*2π)/5542 weeks
30124.21305 1.51799 (301*2π)/5542 weeks
30215.73866 14.7005 (302*2π)/5542 weeks
303.43574 14.62556 (303*2π)/5542 weeks
304-6.18858 2.81669 (304*2π)/5542 weeks
305-1.41003 -7.03201 (305*2π)/5542 weeks
3068.15781 -8.4359 (306*2π)/5542 weeks
30713.326 -2.03868 (307*2π)/5542 weeks
30810.45121 4.57325 (308*2π)/5542 weeks
3093.89077 5.75197 (309*2π)/5542 weeks
310-1.60529 -.39162 (310*2π)/5542 weeks
3112.34301 -9.52127 (311*2π)/5542 weeks
31213.26306 -10.96688 (312*2π)/5542 weeks
31322.52221 -1.5214 (313*2π)/5542 weeks
31419.04963 13.35901 (314*2π)/5542 weeks
3154.40636 20.09087 (315*2π)/5542 weeks
316-12.07108 11.86975 (316*2π)/5542 weeks
317-13.52465 -8.31076 (317*2π)/5542 weeks
3183.6058 -19.19104 (318*2π)/5542 weeks
31920.24641 -8.98904 (319*2π)/5542 weeks
32018.53178 9.64222 (320*2π)/5542 weeks
321.82248 16.23598 (321*2π)/5542 weeks
322-12.12663 2.46698 (322*2π)/5542 weeks
323-5.19348 -14.5105 (323*2π)/5542 weeks
32413.19123 -15.4014 (324*2π)/5542 weeks
32521.6581 2.68267 (325*2π)/5542 weeks
3266.93006 17.87206 (326*2π)/5542 weeks
327-14.14942 11.40189 (327*2π)/5542 weeks
328-19.42516 -11.21589 (328*2π)/5542 weeks
329-2.52696 -27.39721 (329*2π)/5542 weeks
33017.63505 -21.23625 (330*2π)/5542 weeks
33121.84958 -4.57056 (331*2π)/5542 weeks
33211.00738 4.22273 (332*2π)/5542 weeks
3332.21265 -2.47375 (333*2π)/5542 weeks
3348.40128 -11.49598 (334*2π)/5542 weeks
33519.78987 -5.04253 (335*2π)/5542 weeks
33615.75655 9.86549 (336*2π)/5542 weeks
337-1.45866 11.80101 (337*2π)/5542 weeks
338-10.99818 -3.91434 (338*2π)/5542 weeks
339-.53854 -19.47395 (339*2π)/5542 weeks
34015.79598 -17.65671 (340*2π)/5542 weeks
34121.57572 -4.6003 (341*2π)/5542 weeks
34213.81392 3.78937 (342*2π)/5542 weeks
3437.26787 -1.0769 (343*2π)/5542 weeks
34413.30896 -6.1934 (344*2π)/5542 weeks
34520.96075 1.67739 (345*2π)/5542 weeks
34615.75151 14.76169 (346*2π)/5542 weeks
347-.10979 16.87209 (347*2π)/5542 weeks
348-8.91722 4.45425 (348*2π)/5542 weeks
349-3.66889 -5.77377 (349*2π)/5542 weeks
3503.606 -5.50125 (350*2π)/5542 weeks
3513.7476 .3352 (351*2π)/5542 weeks
352-3.67993 -.92729 (352*2π)/5542 weeks
353-4.06124 -9.69853 (353*2π)/5542 weeks
3542.28233 -14.40051 (354*2π)/5542 weeks
3558.19849 -13.37678 (355*2π)/5542 weeks
35611.21677 -10.83277 (356*2π)/5542 weeks
35713.82611 -9.82232 (357*2π)/5542 weeks
35817.7225 -5.16173 (358*2π)/5542 weeks
35918.13957 1.40585 (359*2π)/5542 weeks
36014.1823 9.03755 (360*2π)/5542 weeks
3613.84254 12.86511 (361*2π)/5542 weeks
362-7.55349 5.89378 (362*2π)/5542 weeks
363-7.9841 -7.98956 (363*2π)/5542 weeks
3644.01051 -13.88632 (364*2π)/5542 weeks
36511.87999 -4.87808 (365*2π)/5542 weeks
3663.49596 4.84136 (366*2π)/5542 weeks
367-10.51455 -3.25534 (367*2π)/5542 weeks
368-6.96288 -23.25049 (368*2π)/5542 weeks
36916.25138 -29.21291 (369*2π)/5542 weeks
37033.6938 -9.68535 (370*2π)/5541 weeks
37123.94711 16.40787 (371*2π)/5541 weeks
372-4.59071 19.69098 (372*2π)/5541 weeks
373-21.54539 -4.22155 (373*2π)/5541 weeks
374-8.13024 -31.89978 (374*2π)/5541 weeks
37522.95906 -33.68314 (375*2π)/5541 weeks
37639.89829 -8.48506 (376*2π)/5541 weeks
37728.48497 17.86958 (377*2π)/5541 weeks
3781.68578 22.00109 (378*2π)/5541 weeks
379-13.77861 2.72179 (379*2π)/5541 weeks
380-5.34903 -17.71163 (380*2π)/5541 weeks
38115.74336 -19.86636 (381*2π)/5541 weeks
38226.94135 -2.1367 (382*2π)/5541 weeks
38315.9326 16.81817 (383*2π)/5541 weeks
384-6.65091 16.81453 (384*2π)/5541 weeks
385-19.10753 -2.90089 (385*2π)/5541 weeks
386-9.02354 -24.50254 (386*2π)/5541 weeks
38714.12733 -27.62593 (387*2π)/5541 weeks
38829.53098 -10.98801 (388*2π)/5541 weeks
38924.25204 11.85489 (389*2π)/5541 weeks
3902.17235 19.7138 (390*2π)/5541 weeks
391-15.97483 6.27124 (391*2π)/5541 weeks
392-16.11066 -15.51875 (392*2π)/5541 weeks
3931.02995 -28.63819 (393*2π)/5541 weeks
39422.21123 -21.613 (394*2π)/5541 weeks
39525.69807 1.22303 (395*2π)/5541 weeks
3966.33006 13.56506 (396*2π)/5541 weeks
397-13.33385 1.03274 (397*2π)/5541 weeks
398-10.36574 -23.40341 (398*2π)/5541 weeks
39913.99006 -33.01941 (399*2π)/5541 weeks
40036.5961 -14.92745 (400*2π)/5541 weeks
40131.88062 16.07792 (401*2π)/5541 weeks
402.39107 28.33034 (402*2π)/5541 weeks
403-26.72328 6.23646 (403*2π)/5541 weeks
404-21.57791 -28.47204 (404*2π)/5541 weeks
40510.77637 -41.78097 (405*2π)/5541 weeks
40637.45405 -20.31579 (406*2π)/5541 weeks
40731.18172 10.85816 (407*2π)/5541 weeks
4083.00041 18.98679 (408*2π)/5541 weeks
409-15.17932 -2.58859 (409*2π)/5541 weeks
410-2.35753 -25.61419 (410*2π)/5541 weeks
41122.3946 -22.25827 (411*2π)/5541 weeks
41229.98324 .79894 (412*2π)/5541 weeks
41313.19894 20.36701 (413*2π)/5541 weeks
414-13.85748 16.45306 (414*2π)/5541 weeks
415-28.17395 -8.77841 (415*2π)/5541 weeks
416-16.55174 -38.40687 (416*2π)/5541 weeks
41715.75269 -47.63699 (417*2π)/5541 weeks
41842.1749 -27.55768 (418*2π)/5541 weeks
41943.25544 3.57884 (419*2π)/5541 weeks
42020.2501 22.02341 (420*2π)/5541 weeks
421-5.20579 12.89431 (421*2π)/5541 weeks
422-7.59579 -9.69198 (422*2π)/5541 weeks
4239.73296 -19.11943 (423*2π)/5541 weeks
42424.41877 -6.48503 (424*2π)/5541 weeks
42517.59782 13.8566 (425*2π)/5541 weeks
426-6.54421 17.47291 (426*2π)/5541 weeks
427-23.63354 -3.59208 (427*2π)/5541 weeks
428-13.98389 -31.90157 (428*2π)/5541 weeks
42916.85278 -38.92702 (429*2π)/5541 weeks
43039.09485 -14.27601 (430*2π)/5541 weeks
43128.36537 16.99183 (431*2π)/5541 weeks
432-3.83842 23.29718 (432*2π)/5541 weeks
433-23.90718 -1.45365 (433*2π)/5541 weeks
434-13.73686 -29.26558 (434*2π)/5541 weeks
43513.74497 -34.01677 (435*2π)/5541 weeks
43630.06969 -12.59738 (436*2π)/5541 weeks
43717.365 11.5458 (437*2π)/5541 weeks
438-10.72578 10.2661 (438*2π)/5541 weeks
439-23.72177 -17.88942 (439*2π)/5541 weeks
440-4.78342 -44.85232 (440*2π)/5541 weeks
44129.86161 -44.01747 (441*2π)/5541 weeks
44248.02288 -12.96436 (442*2π)/5541 weeks
44330.59665 18.28501 (443*2π)/5541 weeks
444-3.66895 17.46376 (444*2π)/5541 weeks
445-17.43206 -12.49199 (445*2π)/5541 weeks
4462.38087 -38.05584 (446*2π)/5541 weeks
44735.0971 -33.397 (447*2π)/5541 weeks
44848.41387 -1.89148 (448*2π)/5541 weeks
44929.73458 25.79643 (449*2π)/5541 weeks
450-2.80379 25.94611 (450*2π)/5541 weeks
451-18.91642 -.24774 (451*2π)/5541 weeks
452-4.66326 -24.89947 (452*2π)/5541 weeks
45321.98338 -24.23512 (453*2π)/5541 weeks
45435.29974 .33485 (454*2π)/5541 weeks
45520.00576 26.57087 (455*2π)/5541 weeks
456-12.56721 28.40501 (456*2π)/5541 weeks
457-32.42572 3.18381 (457*2π)/5541 weeks
458-24.73349 -25.78923 (458*2π)/5541 weeks
459-.83335 -35.05946 (459*2π)/5541 weeks
46017.8957 -22.53639 (460*2π)/5541 weeks
46114.68544 -1.83092 (461*2π)/5541 weeks
462-6.90822 2.44049 (462*2π)/5541 weeks
463-20.9062 -19.2363 (463*2π)/5541 weeks
464-6.06966 -45.08994 (464*2π)/5541 weeks
46527.82928 -47.3511 (465*2π)/5541 weeks
46651.39112 -17.21598 (466*2π)/5541 weeks
46737.77015 22.10443 (467*2π)/5541 weeks
468-5.58542 32.71144 (468*2π)/5541 weeks
469-37.48788 -2.55598 (469*2π)/5541 weeks
470-21.88574 -45.69439 (470*2π)/5541 weeks
47121.07407 -55.1769 (471*2π)/5541 weeks
47251.84664 -23.84542 (472*2π)/5541 weeks
47340.40298 16.90674 (473*2π)/5541 weeks
4743.58594 27.33855 (474*2π)/5541 weeks
475-22.78826 2.78293 (475*2π)/5541 weeks
476-11.56043 -28.98756 (476*2π)/5541 weeks
47717.03035 -28.96523 (477*2π)/5541 weeks
47828.53884 -5.14989 (478*2π)/5541 weeks
47911.82539 19.49911 (479*2π)/5541 weeks
480-24.66626 14.35197 (480*2π)/5541 weeks
481-37.89317 -22.16519 (481*2π)/5541 weeks
482-14.68219 -53.85417 (482*2π)/5541 weeks
48323.59753 -50.15858 (483*2π)/5541 weeks
48434.79453 -19.12885 (484*2π)/5541 weeks
48516.05785 -4.98547 (485*2π)/5541 weeks
4865.85294 -16.78939 (486*2π)/5541 weeks
48720.85135 -28.14813 (487*2π)/5541 weeks
48841.79782 -7.15244 (488*2π)/5541 weeks
48926.00123 29.21933 (489*2π)/5541 weeks
490-19.36703 33.10611 (490*2π)/5541 weeks
491-50.27407 -5.33929 (491*2π)/5541 weeks
492-31.43459 -53.61688 (492*2π)/5541 weeks
49314.2081 -58.5793 (493*2π)/5541 weeks
49436.15779 -28.61119 (494*2π)/5541 weeks
49523.13166 -1.29159 (495*2π)/5541 weeks
496-.52264 -3.1899 (496*2π)/5541 weeks
497-4.10493 -21.99457 (497*2π)/5541 weeks
4989.64932 -27.93308 (498*2π)/5541 weeks
49921.33675 -18.42111 (499*2π)/5541 weeks
50020.53882 -1.59067 (500*2π)/5541 weeks
5014.99804 10.67098 (501*2π)/5541 weeks
502-17.58075 7.88965 (502*2π)/5541 weeks
503-35.24475 -11.59327 (503*2π)/5541 weeks
504-31.52095 -39.92064 (504*2π)/5541 weeks
505-10.06019 -56.99065 (505*2π)/5541 weeks
50617.49825 -50.5062 (506*2π)/5541 weeks
50727.64321 -25.72504 (507*2π)/5541 weeks
5088.69005 -3.39693 (508*2π)/5541 weeks
509-24.58119 -13.30464 (509*2π)/5541 weeks
510-28.8368 -54.1205 (510*2π)/5541 weeks
51110.26575 -78.92229 (511*2π)/5541 weeks
51258.59932 -54.49642 (512*2π)/5541 weeks
51354.80862 7.2202 (513*2π)/5541 weeks
514-5.54449 31.74623 (514*2π)/5541 weeks
515-59.38409 -16.91279 (515*2π)/5541 weeks
516-36.88247 -94.92581 (516*2π)/5541 weeks
51757.62697 -111.018 (517*2π)/5541 weeks
518121.4882 -19.92556 (518*2π)/5541 weeks
51961.28363 94.83863 (519*2π)/5541 weeks
520-84.51037 93.65586 (520*2π)/5541 weeks
521-155.4356 -45.09372 (521*2π)/5541 weeks
522-65.02004 -173.6149 (522*2π)/5541 weeks
52386.40676 -151.8548 (523*2π)/5541 weeks
524129.5462 -10.94577 (524*2π)/5541 weeks
52523.91394 85.38847 (525*2π)/5541 weeks
526-105.2918 35.31594 (526*2π)/5541 weeks
527-128.3622 -97.7963 (527*2π)/5541 weeks
528-29.88155 -183.8857 (528*2π)/5541 weeks
52980.01661 -150.6778 (529*2π)/5541 weeks
530103.5861 -60.12121 (530*2π)/5541 weeks
53156.03647 -10.96991 (531*2π)/5541 weeks
53211.53126 -22.20578 (532*2π)/5541 weeks
5335.39176 -51.23602 (533*2π)/5541 weeks
53424.2032 -61.43801 (534*2π)/5541 weeks
53538.91039 -45.53671 (535*2π)/5541 weeks
53630.0102 -14.57476 (536*2π)/5541 weeks
537-13.02897 -2.76226 (537*2π)/5541 weeks
538-59.06373 -23.00531 (538*2π)/5541 weeks
539-90.33719 -84.60619 (539*2π)/5541 weeks
540-62.24873 -165.5602 (540*2π)/5541 weeks
54126.16523 -203.7531 (541*2π)/5541 weeks
542120.2519 -147.867 (542*2π)/5541 weeks
543120.3302 -17.91948 (543*2π)/5541 weeks
544-19.43378 46.43836 (544*2π)/5541 weeks
545-165.3957 -48.58067 (545*2π)/5541 weeks
546-161.8128 -247.7147 (546*2π)/5541 weeks
54717.63697 -327.8482 (547*2π)/5541 weeks
548124.5402 -181.3204 (548*2π)/5541 weeks
549-62.55016 -42.23835 (549*2π)/5541 weeks
550-412.4153 -259.5556 (550*2π)/5541 weeks
551-419.6069 -926.8498 (551*2π)/5541 weeks
552303.4517 -1,531.495 (552*2π)/5541 weeks



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