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Fourier Analysis of SRS (ProShares UltraShort Real Estat)


SRS (ProShares UltraShort Real Estat) appears to have interesting cyclic behaviour every 43 weeks (212.9815*sine), 22 weeks (194.3557*sine), and 40 weeks (185.8191*sine).

SRS (ProShares UltraShort Real Estat) has an average price of 1,272.84 (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 SRS (ProShares UltraShort Real Estat), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
01,272.843   0 
11,524.03 1,488.503 (1*2π)/520520 weeks
2178.6908 1,577.689 (2*2π)/520260 weeks
3-501.2167 827.8691 (3*2π)/520173 weeks
4-349.1429 160.4903 (4*2π)/520130 weeks
530.06596 68.39996 (5*2π)/520104 weeks
6118.193 276.8237 (6*2π)/52087 weeks
7-78.48835 341.1306 (7*2π)/52074 weeks
8-202.3896 149.834 (8*2π)/52065 weeks
9-91.51012 -29.19841 (9*2π)/52058 weeks
1088.7678 -23.02789 (10*2π)/52052 weeks
11142.9726 123.2373 (11*2π)/52047 weeks
1252.31298 212.9815 (12*2π)/52043 weeks
13-55.90497 185.8191 (13*2π)/52040 weeks
14-96.65792 96.87968 (14*2π)/52037 weeks
15-63.52642 25.24463 (15*2π)/52035 weeks
16-11.46862 2.76419 (16*2π)/52033 weeks
1734.95163 19.34458 (17*2π)/52031 weeks
1839.58598 52.61996 (18*2π)/52029 weeks
1919.93873 65.18134 (19*2π)/52027 weeks
203.70994 45.5985 (20*2π)/52026 weeks
2125.88528 13.94958 (21*2π)/52025 weeks
2286.13685 25.45636 (22*2π)/52024 weeks
23111.095 112.0882 (23*2π)/52023 weeks
2424.45729 194.3557 (24*2π)/52022 weeks
25-109.9301 150.9831 (25*2π)/52021 weeks
26-134.7181 1.3781 (26*2π)/52020 weeks
27-11.37921 -92.23357 (27*2π)/52019 weeks
28128.4562 -13.64937 (28*2π)/52019 weeks
29104.768 149.6678 (29*2π)/52018 weeks
30-63.17345 187.4331 (30*2π)/52017 weeks
31-165.9722 43.16502 (31*2π)/52017 weeks
32-76.17813 -107.4106 (32*2π)/52016 weeks
3385.01175 -86.83275 (33*2π)/52016 weeks
34123.6982 49.84983 (34*2π)/52015 weeks
3529.29779 125.6943 (35*2π)/52015 weeks
36-59.05381 73.85839 (36*2π)/52014 weeks
37-46.56168 -12.57632 (37*2π)/52014 weeks
3829.36489 -29.97431 (38*2π)/52014 weeks
3970.57975 28.25465 (39*2π)/52013 weeks
4032.37909 81.77245 (40*2π)/52013 weeks
41-20.95809 70.93079 (41*2π)/52013 weeks
42-31.86339 23.87783 (42*2π)/52012 weeks
432.55176 2.0792 (43*2π)/52012 weeks
4428.60752 23.21881 (44*2π)/52012 weeks
4520.00808 52.32576 (45*2π)/52012 weeks
46-10.63461 60.57391 (46*2π)/52011 weeks
47-34.47877 40.83924 (47*2π)/52011 weeks
48-36.0228 8.52944 (48*2π)/52011 weeks
49-14.38341 -10.40472 (49*2π)/52011 weeks
5010.80352 -9.14559 (50*2π)/52010 weeks
5124.2352 7.8012 (51*2π)/52010 weeks
5219.60966 25.33468 (52*2π)/52010 weeks
533.44307 29.13383 (53*2π)/52010 weeks
54-6.31948 12.56509 (54*2π)/52010 weeks
5512.98393 -1.74121 (55*2π)/5209 weeks
5637.2894 18.01172 (56*2π)/5209 weeks
5725.42447 55.30772 (57*2π)/5209 weeks
58-23.26534 62.64222 (58*2π)/5209 weeks
59-54.27141 14.08707 (59*2π)/5209 weeks
60-24.39383 -33.28662 (60*2π)/5209 weeks
6126.90455 -31.39061 (61*2π)/5209 weeks
6243.79633 9.46622 (62*2π)/5208 weeks
6318.94333 29.62053 (63*2π)/5208 weeks
646.63412 14.64195 (64*2π)/5208 weeks
6523.0012 5.89513 (65*2π)/5208 weeks
6638.04762 31.35507 (66*2π)/5208 weeks
6710.57062 60.25915 (67*2π)/5208 weeks
68-31.11648 45.10072 (68*2π)/5208 weeks
69-38.15116 1.58958 (69*2π)/5208 weeks
70-3.55231 -24.4441 (70*2π)/5207 weeks
7127.90371 -4.92838 (71*2π)/5207 weeks
7224.57463 25.36095 (72*2π)/5207 weeks
73-5.30226 34.34226 (73*2π)/5207 weeks
74-25.57929 3.1507 (74*2π)/5207 weeks
75-.00063 -28.39661 (75*2π)/5207 weeks
7642.22966 -19.17129 (76*2π)/5207 weeks
7755.01677 27.05488 (77*2π)/5207 weeks
7817.73838 60.08158 (78*2π)/5207 weeks
79-29.30098 42.97418 (79*2π)/5207 weeks
80-36.56449 -9.13012 (80*2π)/5207 weeks
819.03857 -36.88419 (81*2π)/5206 weeks
8250.55229 -10.34287 (82*2π)/5206 weeks
8347.87419 35.54834 (83*2π)/5206 weeks
8410.97063 53.95807 (84*2π)/5206 weeks
85-19.24832 34.44682 (85*2π)/5206 weeks
86-15.98652 3.30103 (86*2π)/5206 weeks
879.52722 -2.73364 (87*2π)/5206 weeks
8820.89453 18.06876 (88*2π)/5206 weeks
893.98388 36.51654 (89*2π)/5206 weeks
90-23.63238 30.13877 (90*2π)/5206 weeks
91-34.99052 -1.49761 (91*2π)/5206 weeks
92-13.15813 -30.52727 (92*2π)/5206 weeks
9323.48161 -26.99141 (93*2π)/5206 weeks
9437.42425 4.06594 (94*2π)/5206 weeks
9517.92205 28.40766 (95*2π)/5205 weeks
96-11.68497 21.68259 (96*2π)/5205 weeks
97-18.00594 -10.66572 (97*2π)/5205 weeks
9810.5896 -31.83972 (98*2π)/5205 weeks
9944.34798 -16.32055 (99*2π)/5205 weeks
10048.42194 21.76685 (100*2π)/5205 weeks
10116.90028 42.86595 (101*2π)/5205 weeks
102-14.944 24.81124 (102*2π)/5205 weeks
103-11.47343 -11.67489 (103*2π)/5205 weeks
10425.14703 -22.47835 (104*2π)/5205 weeks
10550.73088 8.21902 (105*2π)/5205 weeks
10634.23832 45.09926 (106*2π)/5205 weeks
107-4.7176 47.72601 (107*2π)/5205 weeks
108-25.22562 17.04359 (108*2π)/5205 weeks
109-7.82697 -12.68292 (109*2π)/5205 weeks
11023.13976 -8.85441 (110*2π)/5205 weeks
11129.97321 20.60951 (111*2π)/5205 weeks
1124.93314 37.72384 (112*2π)/5205 weeks
113-22.28825 21.21585 (113*2π)/5205 weeks
114-19.53886 -12.65262 (114*2π)/5205 weeks
11514.71965 -25.56143 (115*2π)/5205 weeks
11641.08002 .04027 (116*2π)/5204 weeks
11729.17767 35.2431 (117*2π)/5204 weeks
118-6.78511 38.99626 (118*2π)/5204 weeks
119-25.54961 10.68083 (119*2π)/5204 weeks
120-10.78709 -16.46005 (120*2π)/5204 weeks
12116.87945 -15.82472 (121*2π)/5204 weeks
12225.8563 6.52409 (122*2π)/5204 weeks
1239.22017 20.27028 (123*2π)/5204 weeks
124-9.09601 7.67801 (124*2π)/5204 weeks
125-1.93746 -17.51792 (125*2π)/5204 weeks
12628.95528 -21.0332 (126*2π)/5204 weeks
12748.80966 6.38479 (127*2π)/5204 weeks
12836.92954 40.10614 (128*2π)/5204 weeks
129.33976 50.22208 (129*2π)/5204 weeks
130-27.70045 25.89368 (130*2π)/5204 weeks
131-23.9236 -7.91197 (131*2π)/5204 weeks
1323.43121 -23.21907 (132*2π)/5204 weeks
13329.16861 -8.41953 (133*2π)/5204 weeks
13427.9266 18.95758 (134*2π)/5204 weeks
1351.95701 28.82576 (135*2π)/5204 weeks
136-16.24392 5.74922 (136*2π)/5204 weeks
1372.0935 -20.00464 (137*2π)/5204 weeks
13833.97042 -10.87498 (138*2π)/5204 weeks
13938.66909 24.97453 (139*2π)/5204 weeks
1405.28514 44.99033 (140*2π)/5204 weeks
141-27.68566 22.9308 (141*2π)/5204 weeks
142-23.0608 -16.57142 (142*2π)/5204 weeks
14313.99454 -29.94767 (143*2π)/5204 weeks
14440.61566 -3.73576 (144*2π)/5204 weeks
14529.88209 28.91669 (145*2π)/5204 weeks
146-1.0835 32.96283 (146*2π)/5204 weeks
147-16.78168 8.9941 (147*2π)/5204 weeks
148-1.4983 -13.26982 (148*2π)/5204 weeks
14923.87275 -7.19754 (149*2π)/5203 weeks
15026.7547 18.94375 (150*2π)/5203 weeks
1514.20893 31.09733 (151*2π)/5203 weeks
152-16.66121 18.03932 (152*2π)/5203 weeks
153-17.26912 -6.78205 (153*2π)/5203 weeks
1543.93531 -21.48331 (154*2π)/5203 weeks
15528.11851 -10.14115 (155*2π)/5203 weeks
15629.81858 16.35248 (156*2π)/5203 weeks
1578.58575 31.21097 (157*2π)/5203 weeks
158-15.88577 20.1507 (158*2π)/5203 weeks
159-17.9574 -6.77236 (159*2π)/5203 weeks
1603.9204 -21.2596 (160*2π)/5203 weeks
16126.12342 -9.12561 (161*2π)/5203 weeks
16224.28422 15.08916 (162*2π)/5203 weeks
1631.67369 22.82276 (163*2π)/5203 weeks
164-14.61593 4.52381 (164*2π)/5203 weeks
165-3.84095 -20.53379 (165*2π)/5203 weeks
16626.37471 -21.79515 (166*2π)/5203 weeks
16742.6897 6.07201 (167*2π)/5203 weeks
16825.22054 35.5301 (168*2π)/5203 weeks
169-9.86897 33.18216 (169*2π)/5203 weeks
170-22.41677 .9669 (170*2π)/5203 weeks
171.31404 -22.78875 (171*2π)/5203 weeks
17230.68655 -12.07992 (172*2π)/5203 weeks
17332.62658 18.71019 (173*2π)/5203 weeks
1747.24019 31.92566 (174*2π)/5203 weeks
175-12.10159 15.53063 (175*2π)/5203 weeks
176-4.62445 -3.45903 (176*2π)/5203 weeks
17710.72757 -.44982 (177*2π)/5203 weeks
1788.57172 12.48257 (178*2π)/5203 weeks
179-5.59859 11.75173 (179*2π)/5203 weeks
180-9.25516 -3.24835 (180*2π)/5203 weeks
1812.00064 -13.27553 (181*2π)/5203 weeks
18214.26368 -10.01952 (182*2π)/5203 weeks
18319.01089 -1.60998 (183*2π)/5203 weeks
18418.53537 5.54456 (184*2π)/5203 weeks
18514.21466 10.26344 (185*2π)/5203 weeks
18611.85059 11.72162 (186*2π)/5203 weeks
1877.84081 14.82995 (187*2π)/5203 weeks
188.11241 14.86885 (188*2π)/5203 weeks
189-5.73946 7.3163 (189*2π)/5203 weeks
190-.90274 -1.31586 (190*2π)/5203 weeks
1915.37301 2.5301 (191*2π)/5203 weeks
192.24992 6.92158 (192*2π)/5203 weeks
193-8.38012 .69561 (193*2π)/5203 weeks
194-4.7951 -14.5627 (194*2π)/5203 weeks
19512.83726 -17.72179 (195*2π)/5203 weeks
19622.24549 -4.49462 (196*2π)/5203 weeks
19715.36012 6.09287 (197*2π)/5203 weeks
1987.91151 1.39531 (198*2π)/5203 weeks
19915.12096 -3.98757 (199*2π)/5203 weeks
20023.20327 6.27282 (200*2π)/5203 weeks
20114.53293 20.30608 (201*2π)/5203 weeks
202-4.59599 18.68433 (202*2π)/5203 weeks
203-10.9925 -1.74878 (203*2π)/5203 weeks
2045.10937 -14.63344 (204*2π)/5203 weeks
20521.27909 -4.61078 (205*2π)/5203 weeks
20616.46441 11.23958 (206*2π)/5203 weeks
2073.17349 8.49337 (207*2π)/5203 weeks
2086.30182 -3.22576 (208*2π)/5203 weeks
20920.39737 -.41829 (209*2π)/5202 weeks
21022.00429 17.80997 (210*2π)/5202 weeks
2112.67352 29.73234 (211*2π)/5202 weeks
212-19.28392 15.57881 (212*2π)/5202 weeks
213-16.41819 -10.47918 (213*2π)/5202 weeks
2146.91123 -19.03618 (214*2π)/5202 weeks
21523.06736 -1.71694 (215*2π)/5202 weeks
21611.76212 17.27606 (216*2π)/5202 weeks
217-8.17367 12.87566 (217*2π)/5202 weeks
218-11.07277 -7.43313 (218*2π)/5202 weeks
2197.6745 -17.26098 (219*2π)/5202 weeks
22022.8265 -2.98347 (220*2π)/5202 weeks
22115.12311 16.65056 (221*2π)/5202 weeks
222-7.14491 16.75604 (222*2π)/5202 weeks
223-16.11979 -4.10656 (223*2π)/5202 weeks
224-1.79777 -20.31391 (224*2π)/5202 weeks
22516.5494 -17.32883 (225*2π)/5202 weeks
22624.31233 -1.93368 (226*2π)/5202 weeks
22715.79098 10.74585 (227*2π)/5202 weeks
2283.40381 10.44472 (228*2π)/5202 weeks
229-1.5289 .56679 (229*2π)/5202 weeks
2304.65224 -6.05168 (230*2π)/5202 weeks
23111.70174 -4.11769 (231*2π)/5202 weeks
23213.58167 3.75731 (232*2π)/5202 weeks
2336.16151 9.49411 (233*2π)/5202 weeks
234-3.88968 4.7384 (234*2π)/5202 weeks
235-5.54807 -8.19919 (235*2π)/5202 weeks
2367.5252 -17.65636 (236*2π)/5202 weeks
23722.91047 -9.5642 (237*2π)/5202 weeks
23823.8776 8.25025 (238*2π)/5202 weeks
2397.92684 19.58485 (239*2π)/5202 weeks
240-12.06761 9.61963 (240*2π)/5202 weeks
241-11.7836 -15.12212 (241*2π)/5202 weeks
24212.65785 -27.12114 (242*2π)/5202 weeks
24335.61344 -7.98155 (243*2π)/5202 weeks
24426.80615 21.43605 (244*2π)/5202 weeks
245-3.15279 25.98441 (245*2π)/5202 weeks
246-20.96999 .7533 (246*2π)/5202 weeks
247-4.57619 -25.77751 (247*2π)/5202 weeks
24824.73412 -20.85632 (248*2π)/5202 weeks
24929.85637 6.13409 (249*2π)/5202 weeks
2509.46895 18.50909 (250*2π)/5202 weeks
251-7.54218 5.0907 (251*2π)/5202 weeks
252-1.06516 -14.16483 (252*2π)/5202 weeks
25319.6136 -15.16832 (253*2π)/5202 weeks
25428.14769 4.63885 (254*2π)/5202 weeks
25512.29762 20.39683 (255*2π)/5202 weeks
256-7.45131 12.70714 (256*2π)/5202 weeks
257-10.984 -6.89262 (257*2π)/5202 weeks
2583.11662 -19.98201 (258*2π)/5202 weeks
25921.34995 -16.97509 (259*2π)/5202 weeks
26030.18189   (260*2π)/5202 weeks
26121.34995 16.97509 (261*2π)/5202 weeks
2623.11662 19.98201 (262*2π)/5202 weeks
263-10.984 6.89262 (263*2π)/5202 weeks
264-7.45131 -12.70714 (264*2π)/5202 weeks
26512.29762 -20.39683 (265*2π)/5202 weeks
26628.14769 -4.63885 (266*2π)/5202 weeks
26719.6136 15.16832 (267*2π)/5202 weeks
268-1.06516 14.16483 (268*2π)/5202 weeks
269-7.54218 -5.0907 (269*2π)/5202 weeks
2709.46895 -18.50909 (270*2π)/5202 weeks
27129.85637 -6.13409 (271*2π)/5202 weeks
27224.73412 20.85632 (272*2π)/5202 weeks
273-4.57619 25.77751 (273*2π)/5202 weeks
274-20.96999 -.7533 (274*2π)/5202 weeks
275-3.15279 -25.98441 (275*2π)/5202 weeks
27626.80615 -21.43605 (276*2π)/5202 weeks
27735.61344 7.98155 (277*2π)/5202 weeks
27812.65785 27.12114 (278*2π)/5202 weeks
279-11.7836 15.12212 (279*2π)/5202 weeks
280-12.06761 -9.61963 (280*2π)/5202 weeks
2817.92684 -19.58485 (281*2π)/5202 weeks
28223.8776 -8.25025 (282*2π)/5202 weeks
28322.91047 9.5642 (283*2π)/5202 weeks
2847.5252 17.65636 (284*2π)/5202 weeks
285-5.54807 8.19919 (285*2π)/5202 weeks
286-3.88968 -4.7384 (286*2π)/5202 weeks
2876.16151 -9.49411 (287*2π)/5202 weeks
28813.58167 -3.75731 (288*2π)/5202 weeks
28911.70174 4.11769 (289*2π)/5202 weeks
2904.65224 6.05168 (290*2π)/5202 weeks
291-1.5289 -.56679 (291*2π)/5202 weeks
2923.40381 -10.44472 (292*2π)/5202 weeks
29315.79098 -10.74585 (293*2π)/5202 weeks
29424.31233 1.93368 (294*2π)/5202 weeks
29516.5494 17.32883 (295*2π)/5202 weeks
296-1.79777 20.31391 (296*2π)/5202 weeks
297-16.11979 4.10656 (297*2π)/5202 weeks
298-7.14491 -16.75604 (298*2π)/5202 weeks
29915.12311 -16.65056 (299*2π)/5202 weeks
30022.8265 2.98347 (300*2π)/5202 weeks
3017.6745 17.26098 (301*2π)/5202 weeks
302-11.07277 7.43313 (302*2π)/5202 weeks
303-8.17367 -12.87566 (303*2π)/5202 weeks
30411.76212 -17.27606 (304*2π)/5202 weeks
30523.06736 1.71694 (305*2π)/5202 weeks
3066.91123 19.03618 (306*2π)/5202 weeks
307-16.41819 10.47918 (307*2π)/5202 weeks
308-19.28392 -15.57881 (308*2π)/5202 weeks
3092.67352 -29.73234 (309*2π)/5202 weeks
31022.00429 -17.80997 (310*2π)/5202 weeks
31120.39737 .41829 (311*2π)/5202 weeks
3126.30182 3.22576 (312*2π)/5202 weeks
3133.17349 -8.49337 (313*2π)/5202 weeks
31416.46441 -11.23958 (314*2π)/5202 weeks
31521.27909 4.61078 (315*2π)/5202 weeks
3165.10937 14.63344 (316*2π)/5202 weeks
317-10.9925 1.74878 (317*2π)/5202 weeks
318-4.59599 -18.68433 (318*2π)/5202 weeks
31914.53293 -20.30608 (319*2π)/5202 weeks
32023.20327 -6.27282 (320*2π)/5202 weeks
32115.12096 3.98757 (321*2π)/5202 weeks
3227.91151 -1.39531 (322*2π)/5202 weeks
32315.36012 -6.09287 (323*2π)/5202 weeks
32422.24549 4.49462 (324*2π)/5202 weeks
32512.83726 17.72179 (325*2π)/5202 weeks
326-4.7951 14.5627 (326*2π)/5202 weeks
327-8.38012 -.69561 (327*2π)/5202 weeks
328.24992 -6.92158 (328*2π)/5202 weeks
3295.37301 -2.5301 (329*2π)/5202 weeks
330-.90274 1.31586 (330*2π)/5202 weeks
331-5.73946 -7.3163 (331*2π)/5202 weeks
332.11241 -14.86885 (332*2π)/5202 weeks
3337.84081 -14.82995 (333*2π)/5202 weeks
33411.85059 -11.72162 (334*2π)/5202 weeks
33514.21466 -10.26344 (335*2π)/5202 weeks
33618.53537 -5.54456 (336*2π)/5202 weeks
33719.01089 1.60998 (337*2π)/5202 weeks
33814.26368 10.01952 (338*2π)/5202 weeks
3392.00064 13.27553 (339*2π)/5202 weeks
340-9.25516 3.24835 (340*2π)/5202 weeks
341-5.59859 -11.75173 (341*2π)/5202 weeks
3428.57172 -12.48257 (342*2π)/5202 weeks
34310.72757 .44982 (343*2π)/5202 weeks
344-4.62445 3.45903 (344*2π)/5202 weeks
345-12.10159 -15.53063 (345*2π)/5202 weeks
3467.24019 -31.92566 (346*2π)/5202 weeks
34732.62658 -18.71019 (347*2π)/5201 weeks
34830.68655 12.07992 (348*2π)/5201 weeks
349.31404 22.78875 (349*2π)/5201 weeks
350-22.41677 -.9669 (350*2π)/5201 weeks
351-9.86897 -33.18216 (351*2π)/5201 weeks
35225.22054 -35.5301 (352*2π)/5201 weeks
35342.6897 -6.07201 (353*2π)/5201 weeks
35426.37471 21.79515 (354*2π)/5201 weeks
355-3.84095 20.53379 (355*2π)/5201 weeks
356-14.61593 -4.52381 (356*2π)/5201 weeks
3571.67369 -22.82276 (357*2π)/5201 weeks
35824.28422 -15.08916 (358*2π)/5201 weeks
35926.12342 9.12561 (359*2π)/5201 weeks
3603.9204 21.2596 (360*2π)/5201 weeks
361-17.9574 6.77236 (361*2π)/5201 weeks
362-15.88577 -20.1507 (362*2π)/5201 weeks
3638.58575 -31.21097 (363*2π)/5201 weeks
36429.81858 -16.35248 (364*2π)/5201 weeks
36528.11851 10.14115 (365*2π)/5201 weeks
3663.93531 21.48331 (366*2π)/5201 weeks
367-17.26912 6.78205 (367*2π)/5201 weeks
368-16.66121 -18.03932 (368*2π)/5201 weeks
3694.20893 -31.09733 (369*2π)/5201 weeks
37026.7547 -18.94375 (370*2π)/5201 weeks
37123.87275 7.19754 (371*2π)/5201 weeks
372-1.4983 13.26982 (372*2π)/5201 weeks
373-16.78168 -8.9941 (373*2π)/5201 weeks
374-1.0835 -32.96283 (374*2π)/5201 weeks
37529.88209 -28.91669 (375*2π)/5201 weeks
37640.61566 3.73576 (376*2π)/5201 weeks
37713.99454 29.94767 (377*2π)/5201 weeks
378-23.0608 16.57142 (378*2π)/5201 weeks
379-27.68566 -22.9308 (379*2π)/5201 weeks
3805.28514 -44.99033 (380*2π)/5201 weeks
38138.66909 -24.97453 (381*2π)/5201 weeks
38233.97042 10.87498 (382*2π)/5201 weeks
3832.0935 20.00464 (383*2π)/5201 weeks
384-16.24392 -5.74922 (384*2π)/5201 weeks
3851.95701 -28.82576 (385*2π)/5201 weeks
38627.9266 -18.95758 (386*2π)/5201 weeks
38729.16861 8.41953 (387*2π)/5201 weeks
3883.43121 23.21907 (388*2π)/5201 weeks
389-23.9236 7.91197 (389*2π)/5201 weeks
390-27.70045 -25.89368 (390*2π)/5201 weeks
391.33976 -50.22208 (391*2π)/5201 weeks
39236.92954 -40.10614 (392*2π)/5201 weeks
39348.80966 -6.38479 (393*2π)/5201 weeks
39428.95528 21.0332 (394*2π)/5201 weeks
395-1.93746 17.51792 (395*2π)/5201 weeks
396-9.09601 -7.67801 (396*2π)/5201 weeks
3979.22017 -20.27028 (397*2π)/5201 weeks
39825.8563 -6.52409 (398*2π)/5201 weeks
39916.87945 15.82472 (399*2π)/5201 weeks
400-10.78709 16.46005 (400*2π)/5201 weeks
401-25.54961 -10.68083 (401*2π)/5201 weeks
402-6.78511 -38.99626 (402*2π)/5201 weeks
40329.17767 -35.2431 (403*2π)/5201 weeks
40441.08002 -.04027 (404*2π)/5201 weeks
40514.71965 25.56143 (405*2π)/5201 weeks
406-19.53886 12.65262 (406*2π)/5201 weeks
407-22.28825 -21.21585 (407*2π)/5201 weeks
4084.93314 -37.72384 (408*2π)/5201 weeks
40929.97321 -20.60951 (409*2π)/5201 weeks
41023.13976 8.85441 (410*2π)/5201 weeks
411-7.82697 12.68292 (411*2π)/5201 weeks
412-25.22562 -17.04359 (412*2π)/5201 weeks
413-4.7176 -47.72601 (413*2π)/5201 weeks
41434.23832 -45.09926 (414*2π)/5201 weeks
41550.73088 -8.21902 (415*2π)/5201 weeks
41625.14703 22.47835 (416*2π)/5201 weeks
417-11.47343 11.67489 (417*2π)/5201 weeks
418-14.944 -24.81124 (418*2π)/5201 weeks
41916.90028 -42.86595 (419*2π)/5201 weeks
42048.42194 -21.76685 (420*2π)/5201 weeks
42144.34798 16.32055 (421*2π)/5201 weeks
42210.5896 31.83972 (422*2π)/5201 weeks
423-18.00594 10.66572 (423*2π)/5201 weeks
424-11.68497 -21.68259 (424*2π)/5201 weeks
42517.92205 -28.40766 (425*2π)/5201 weeks
42637.42425 -4.06594 (426*2π)/5201 weeks
42723.48161 26.99141 (427*2π)/5201 weeks
428-13.15813 30.52727 (428*2π)/5201 weeks
429-34.99052 1.49761 (429*2π)/5201 weeks
430-23.63238 -30.13877 (430*2π)/5201 weeks
4313.98388 -36.51654 (431*2π)/5201 weeks
43220.89453 -18.06876 (432*2π)/5201 weeks
4339.52722 2.73364 (433*2π)/5201 weeks
434-15.98652 -3.30103 (434*2π)/5201 weeks
435-19.24832 -34.44682 (435*2π)/5201 weeks
43610.97063 -53.95807 (436*2π)/5201 weeks
43747.87419 -35.54834 (437*2π)/5201 weeks
43850.55229 10.34287 (438*2π)/5201 weeks
4399.03857 36.88419 (439*2π)/5201 weeks
440-36.56449 9.13012 (440*2π)/5201 weeks
441-29.30098 -42.97418 (441*2π)/5201 weeks
44217.73838 -60.08158 (442*2π)/5201 weeks
44355.01677 -27.05488 (443*2π)/5201 weeks
44442.22966 19.17129 (444*2π)/5201 weeks
445-.00063 28.39661 (445*2π)/5201 weeks
446-25.57929 -3.1507 (446*2π)/5201 weeks
447-5.30226 -34.34226 (447*2π)/5201 weeks
44824.57463 -25.36095 (448*2π)/5201 weeks
44927.90371 4.92838 (449*2π)/5201 weeks
450-3.55231 24.4441 (450*2π)/5201 weeks
451-38.15116 -1.58958 (451*2π)/5201 weeks
452-31.11648 -45.10072 (452*2π)/5201 weeks
45310.57062 -60.25915 (453*2π)/5201 weeks
45438.04762 -31.35507 (454*2π)/5201 weeks
45523.0012 -5.89513 (455*2π)/5201 weeks
4566.63412 -14.64195 (456*2π)/5201 weeks
45718.94333 -29.62053 (457*2π)/5201 weeks
45843.79633 -9.46622 (458*2π)/5201 weeks
45926.90455 31.39061 (459*2π)/5201 weeks
460-24.39383 33.28662 (460*2π)/5201 weeks
461-54.27141 -14.08707 (461*2π)/5201 weeks
462-23.26534 -62.64222 (462*2π)/5201 weeks
46325.42447 -55.30772 (463*2π)/5201 weeks
46437.2894 -18.01172 (464*2π)/5201 weeks
46512.98393 1.74121 (465*2π)/5201 weeks
466-6.31948 -12.56509 (466*2π)/5201 weeks
4673.44307 -29.13383 (467*2π)/5201 weeks
46819.60966 -25.33468 (468*2π)/5201 weeks
46924.2352 -7.8012 (469*2π)/5201 weeks
47010.80352 9.14559 (470*2π)/5201 weeks
471-14.38341 10.40472 (471*2π)/5201 weeks
472-36.0228 -8.52944 (472*2π)/5201 weeks
473-34.47877 -40.83924 (473*2π)/5201 weeks
474-10.63461 -60.57391 (474*2π)/5201 weeks
47520.00808 -52.32576 (475*2π)/5201 weeks
47628.60752 -23.21881 (476*2π)/5201 weeks
4772.55176 -2.0792 (477*2π)/5201 weeks
478-31.86339 -23.87783 (478*2π)/5201 weeks
479-20.95809 -70.93079 (479*2π)/5201 weeks
48032.37909 -81.77245 (480*2π)/5201 weeks
48170.57975 -28.25465 (481*2π)/5201 weeks
48229.36489 29.97431 (482*2π)/5201 weeks
483-46.56168 12.57632 (483*2π)/5201 weeks
484-59.05381 -73.85839 (484*2π)/5201 weeks
48529.29779 -125.6943 (485*2π)/5201 weeks
486123.6982 -49.84983 (486*2π)/5201 weeks
48785.01175 86.83275 (487*2π)/5201 weeks
488-76.17813 107.4106 (488*2π)/5201 weeks
489-165.9722 -43.16502 (489*2π)/5201 weeks
490-63.17345 -187.4331 (490*2π)/5201 weeks
491104.768 -149.6678 (491*2π)/5201 weeks
492128.4562 13.64937 (492*2π)/5201 weeks
493-11.37921 92.23357 (493*2π)/5201 weeks
494-134.7181 -1.3781 (494*2π)/5201 weeks
495-109.9301 -150.9831 (495*2π)/5201 weeks
49624.45729 -194.3557 (496*2π)/5201 weeks
497111.095 -112.0882 (497*2π)/5201 weeks
49886.13685 -25.45636 (498*2π)/5201 weeks
49925.88528 -13.94958 (499*2π)/5201 weeks
5003.70994 -45.5985 (500*2π)/5201 weeks
50119.93873 -65.18134 (501*2π)/5201 weeks
50239.58598 -52.61996 (502*2π)/5201 weeks
50334.95163 -19.34458 (503*2π)/5201 weeks
504-11.46862 -2.76419 (504*2π)/5201 weeks
505-63.52642 -25.24463 (505*2π)/5201 weeks
506-96.65792 -96.87968 (506*2π)/5201 weeks
507-55.90497 -185.8191 (507*2π)/5201 weeks
50852.31298 -212.9815 (508*2π)/5201 weeks
509142.9726 -123.2373 (509*2π)/5201 weeks
51088.7678 23.02789 (510*2π)/5201 weeks
511-91.51012 29.19841 (511*2π)/5201 weeks
512-202.3896 -149.834 (512*2π)/5201 weeks
513-78.48835 -341.1306 (513*2π)/5201 weeks
514118.193 -276.8237 (514*2π)/5201 weeks
51530.06596 -68.39996 (515*2π)/5201 weeks
516-349.1429 -160.4903 (516*2π)/5201 weeks
517-501.2167 -827.8691 (517*2π)/5201 weeks
518178.6908 -1,577.689 (518*2π)/5201 weeks

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