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Fourier Analysis of SCC (ProShares UltraShort Consumer S)


SCC (ProShares UltraShort Consumer S) appears to have interesting cyclic behaviour every 44 weeks (44.5747*sine), 48 weeks (31.4228*sine), and 48 weeks (30.0003*cosine).

SCC (ProShares UltraShort Consumer S) has an average price of 417.58 (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 3/13/2017 for SCC (ProShares UltraShort Consumer S), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
0417.5757   0 
1172.6037 483.5992 (1*2π)/529529 weeks
2-104.5777 248.5869 (2*2π)/529265 weeks
3-119.6843 48.2032 (3*2π)/529176 weeks
4-10.80732 -23.74956 (4*2π)/529132 weeks
549.00103 19.41559 (5*2π)/529106 weeks
627.27809 72.16478 (6*2π)/52988 weeks
7-28.91226 65.59322 (7*2π)/52976 weeks
8-32.92746 2.56119 (8*2π)/52966 weeks
98.72466 -4.95366 (9*2π)/52959 weeks
1022.23185 6.50635 (10*2π)/52953 weeks
1130.00027 31.42281 (11*2π)/52948 weeks
122.27002 44.57471 (12*2π)/52944 weeks
13-14.04844 26.03159 (13*2π)/52941 weeks
14-8.86733 11.41775 (14*2π)/52938 weeks
15-.06932 8.99556 (15*2π)/52935 weeks
16.03994 9.05662 (16*2π)/52933 weeks
1710.88969 8.9683 (17*2π)/52931 weeks
184.4089 19.24517 (18*2π)/52929 weeks
19-1.47803 11.48219 (19*2π)/52928 weeks
206.10414 9.6232 (20*2π)/52926 weeks
212.53549 15.73851 (21*2π)/52925 weeks
22-.44916 7.2342 (22*2π)/52924 weeks
239.31526 8.73891 (23*2π)/52923 weeks
2410.89624 19.47818 (24*2π)/52922 weeks
25-4.2344 27.98466 (25*2π)/52921 weeks
26-16.79186 12.40688 (26*2π)/52920 weeks
27-12.65245 -3.36064 (27*2π)/52920 weeks
286.55399 -12.17315 (28*2π)/52919 weeks
2923.95371 6.05564 (29*2π)/52918 weeks
3010.55068 29.61037 (30*2π)/52918 weeks
31-16.95463 27.39804 (31*2π)/52917 weeks
32-25.98373 -1.45397 (32*2π)/52917 weeks
33-.67601 -19.23063 (33*2π)/52916 weeks
3419.14911 -4.00054 (34*2π)/52916 weeks
3516.59885 14.67313 (35*2π)/52915 weeks
36.86623 19.89466 (36*2π)/52915 weeks
37-7.64398 11.61865 (37*2π)/52914 weeks
38-6.11832 2.46218 (38*2π)/52914 weeks
39.53421 -2.09907 (39*2π)/52914 weeks
407.00051 4.47654 (40*2π)/52913 weeks
412.49769 7.57621 (41*2π)/52913 weeks
423.08116 7.07008 (42*2π)/52913 weeks
431.28361 6.72258 (43*2π)/52912 weeks
442.57915 8.63709 (44*2π)/52912 weeks
45-2.62564 9.79015 (45*2π)/52912 weeks
46-2.72145 4.49916 (46*2π)/52912 weeks
47-2.01076 3.1827 (47*2π)/52911 weeks
48-.03103 2.60868 (48*2π)/52911 weeks
491.5159 4.25916 (49*2π)/52911 weeks
50-1.89413 5.53871 (50*2π)/52911 weeks
51-2.0583 2.04338 (51*2π)/52910 weeks
52-1.18032 -1.17409 (52*2π)/52910 weeks
535.75787 -2.87129 (53*2π)/52910 weeks
549.16899 6.35486 (54*2π)/52910 weeks
551.514 9.09495 (55*2π)/52910 weeks
56-1.5517 5.49952 (56*2π)/5299 weeks
57-.47457 2.8162 (57*2π)/5299 weeks
582.76749 2.64026 (58*2π)/5299 weeks
591.05847 7.51116 (59*2π)/5299 weeks
60-4.44606 3.78194 (60*2π)/5299 weeks
61-2.57606 -.92428 (61*2π)/5299 weeks
623.44671 -2.73986 (62*2π)/5299 weeks
636.22776 2.86038 (63*2π)/5298 weeks
641.47631 5.17428 (64*2π)/5298 weeks
652.47232 2.86645 (65*2π)/5298 weeks
661.80939 2.7415 (66*2π)/5298 weeks
675.39175 4.42388 (67*2π)/5298 weeks
68.98781 10.11247 (68*2π)/5298 weeks
69-6.20902 6.31863 (69*2π)/5298 weeks
70-5.32591 -1.72891 (70*2π)/5298 weeks
712.75883 -5.00469 (71*2π)/5297 weeks
726.79244 2.37349 (72*2π)/5297 weeks
731.9134 4.52395 (73*2π)/5297 weeks
741.64313 5.44825 (74*2π)/5297 weeks
75-4.63931 2.83237 (75*2π)/5297 weeks
76-.00975 -4.82974 (76*2π)/5297 weeks
776.95594 -1.58958 (77*2π)/5297 weeks
787.97479 4.2276 (78*2π)/5297 weeks
793.00224 8.63125 (79*2π)/5297 weeks
80-1.84481 6.45091 (80*2π)/5297 weeks
81-4.95568 2.04827 (81*2π)/5297 weeks
82-.24064 -5.20145 (82*2π)/5296 weeks
837.73957 -2.02463 (83*2π)/5296 weeks
848.22998 5.2725 (84*2π)/5296 weeks
852.13176 8.21077 (85*2π)/5296 weeks
86-1.74243 5.47445 (86*2π)/5296 weeks
87-1.89704 1.94112 (87*2π)/5296 weeks
88.58686 .49412 (88*2π)/5296 weeks
892.10989 1.90401 (89*2π)/5296 weeks
90.74351 2.05475 (90*2π)/5296 weeks
912.91881 1.78161 (91*2π)/5296 weeks
921.45797 5.23535 (92*2π)/5296 weeks
93-2.65083 3.44217 (93*2π)/5296 weeks
94-2.68404 -1.63484 (94*2π)/5296 weeks
952.97004 -4.08378 (95*2π)/5296 weeks
967.81881 1.00081 (96*2π)/5296 weeks
974.7908 7.00955 (97*2π)/5295 weeks
98-2.36401 7.2524 (98*2π)/5295 weeks
99-5.55349 .00617 (99*2π)/5295 weeks
100.40307 -5.8425 (100*2π)/5295 weeks
1017.5719 -3.23669 (101*2π)/5295 weeks
1028.87784 4.96213 (102*2π)/5295 weeks
1032.57615 8.89457 (103*2π)/5295 weeks
104-4.15078 6.06855 (104*2π)/5295 weeks
105-4.76858 -1.80405 (105*2π)/5295 weeks
1062.41112 -5.51815 (106*2π)/5295 weeks
1078.59586 .10879 (107*2π)/5295 weeks
1085.75098 6.70428 (108*2π)/5295 weeks
109.27275 7.24801 (109*2π)/5295 weeks
110-3.85441 3.3924 (110*2π)/5295 weeks
111-1.62669 -1.93343 (111*2π)/5295 weeks
1123.16452 -2.00837 (112*2π)/5295 weeks
1134.63239 1.33361 (113*2π)/5295 weeks
1143.40662 4.21604 (114*2π)/5295 weeks
115-.42941 4.43283 (115*2π)/5295 weeks
116-2.22883 .98948 (116*2π)/5295 weeks
1171.09649 -2.92501 (117*2π)/5295 weeks
1185.84251 -.64259 (118*2π)/5294 weeks
1195.4825 4.89784 (119*2π)/5294 weeks
120.63345 5.77575 (120*2π)/5294 weeks
121-1.61619 2.81903 (121*2π)/5294 weeks
122-.5659 .24544 (122*2π)/5294 weeks
123.95119 -.13064 (123*2π)/5294 weeks
1243.06878 .40607 (124*2π)/5294 weeks
1252.95572 2.89029 (125*2π)/5294 weeks
126.0454 3.56303 (126*2π)/5294 weeks
127-1.49633 .20058 (127*2π)/5294 weeks
1282.3329 -2.10551 (128*2π)/5294 weeks
1295.02544 .41554 (129*2π)/5294 weeks
1304.96805 3.6194 (130*2π)/5294 weeks
1311.19753 6.14739 (131*2π)/5294 weeks
132-1.91034 3.11229 (132*2π)/5294 weeks
133-.74896 1.07987 (133*2π)/5294 weeks
134-.04013 .02802 (134*2π)/5294 weeks
1351.50104 .10909 (135*2π)/5294 weeks
1362.63057 -.35007 (136*2π)/5294 weeks
1373.97865 3.30528 (137*2π)/5294 weeks
138-1.0252 4.2059 (138*2π)/5294 weeks
139-1.62304 -.60226 (139*2π)/5294 weeks
1401.81647 -1.51313 (140*2π)/5294 weeks
1414.26878 .70278 (141*2π)/5294 weeks
1422.83151 4.11069 (142*2π)/5294 weeks
143-.38451 3.36689 (143*2π)/5294 weeks
144-1.83346 1.20057 (144*2π)/5294 weeks
145.27384 -2.07634 (145*2π)/5294 weeks
1463.05497 .04864 (146*2π)/5294 weeks
1472.17433 1.17551 (147*2π)/5294 weeks
1481.77392 1.96106 (148*2π)/5294 weeks
149.65787 1.27071 (149*2π)/5294 weeks
1501.18947 .84378 (150*2π)/5294 weeks
1511.36015 .17083 (151*2π)/5294 weeks
1523.24668 .99905 (152*2π)/5293 weeks
1531.18367 2.87275 (153*2π)/5293 weeks
1541.0174 .95268 (154*2π)/5293 weeks
1551.22773 1.7 (155*2π)/5293 weeks
156.40725 1.03995 (156*2π)/5293 weeks
1571.12723 -.09695 (157*2π)/5293 weeks
1583.25094 .75916 (158*2π)/5293 weeks
1592.34074 2.88501 (159*2π)/5293 weeks
160.12262 3.54736 (160*2π)/5293 weeks
161-2.08183 1.22023 (161*2π)/5293 weeks
162-.23422 -1.95611 (162*2π)/5293 weeks
1632.98208 -1.15035 (163*2π)/5293 weeks
1643.3634 1.52885 (164*2π)/5293 weeks
1651.28503 3.07208 (165*2π)/5293 weeks
166-1.10026 1.2974 (166*2π)/5293 weeks
167-.28152 -1.17987 (167*2π)/5293 weeks
1681.93689 -1.9515 (168*2π)/5293 weeks
1694.2784 -.29179 (169*2π)/5293 weeks
1704.15655 2.47268 (170*2π)/5293 weeks
1711.85116 4.10521 (171*2π)/5293 weeks
172-1.23224 2.90002 (172*2π)/5293 weeks
173-1.68196 -.47693 (173*2π)/5293 weeks
1741.32513 -2.47493 (174*2π)/5293 weeks
1754.25231 -.38674 (175*2π)/5293 weeks
1763.56204 2.83405 (176*2π)/5293 weeks
177.89065 3.76299 (177*2π)/5293 weeks
178-.97234 1.62006 (178*2π)/5293 weeks
179.11236 .03542 (179*2π)/5293 weeks
1801.09516 -.0377 (180*2π)/5293 weeks
1811.27386 .93999 (181*2π)/5293 weeks
182.21412 1.03249 (182*2π)/5293 weeks
183-.03908 -.07517 (183*2π)/5293 weeks
184.77113 -1.21447 (184*2π)/5293 weeks
1852.08353 -.98945 (185*2π)/5293 weeks
1862.05816 -.60177 (186*2π)/5293 weeks
1874.05585 -.6688 (187*2π)/5293 weeks
1883.65667 2.95474 (188*2π)/5293 weeks
1891.14181 2.46863 (189*2π)/5293 weeks
190.52829 1.77475 (190*2π)/5293 weeks
191.70528 .69296 (191*2π)/5293 weeks
1921.32201 1.212 (192*2π)/5293 weeks
193.3602 .63121 (193*2π)/5293 weeks
1941.52947 1.45358 (194*2π)/5293 weeks
195-.84649 1.07928 (195*2π)/5293 weeks
196.09776 -.36598 (196*2π)/5293 weeks
197-.24223 -1.32883 (197*2π)/5293 weeks
1982.56944 -2.86156 (198*2π)/5293 weeks
1994.93722 .32973 (199*2π)/5293 weeks
2002.79891 3.17938 (200*2π)/5293 weeks
201-.85114 2.43648 (201*2π)/5293 weeks
202-.7658 -1.50164 (202*2π)/5293 weeks
2032.95608 -1.57513 (203*2π)/5293 weeks
2044.07609 .7155 (204*2π)/5293 weeks
2052.82138 3.64081 (205*2π)/5293 weeks
206-1.7273 2.92825 (206*2π)/5293 weeks
207-1.61797 -1.39745 (207*2π)/5293 weeks
2081.81255 -2.67373 (208*2π)/5293 weeks
2094.12951 -.0002 (209*2π)/5293 weeks
2102.2125 2.24711 (210*2π)/5293 weeks
211.78503 .71769 (211*2π)/5293 weeks
2122.01795 .38175 (212*2π)/5292 weeks
2132.24394 1.33475 (213*2π)/5292 weeks
2141.80532 2.24952 (214*2π)/5292 weeks
215-.68826 3.04801 (215*2π)/5292 weeks
216-2.56009 -.3964 (216*2π)/5292 weeks
217.41013 -3.05981 (217*2π)/5292 weeks
2184.07449 -1.76718 (218*2π)/5292 weeks
2193.83098 3.06885 (219*2π)/5292 weeks
220-.68416 3.11706 (220*2π)/5292 weeks
221-1.8135 .18888 (221*2π)/5292 weeks
222-.47945 -2.29182 (222*2π)/5292 weeks
2232.90001 -2.44594 (223*2π)/5292 weeks
2244.13751 .80435 (224*2π)/5292 weeks
2251.45289 3.21771 (225*2π)/5292 weeks
226-1.95555 1.47712 (226*2π)/5292 weeks
227-1.42366 -2.52444 (227*2π)/5292 weeks
2282.47581 -3.32782 (228*2π)/5292 weeks
2294.56912 -1.03184 (229*2π)/5292 weeks
2304.14415 2.76349 (230*2π)/5292 weeks
231.12445 2.89052 (231*2π)/5292 weeks
232-1.18628 .91371 (232*2π)/5292 weeks
233-.50352 -1.92561 (233*2π)/5292 weeks
2342.19519 -1.62474 (234*2π)/5292 weeks
2352.80914 -.46248 (235*2π)/5292 weeks
2362.75802 1.65979 (236*2π)/5292 weeks
237-.21542 2.20654 (237*2π)/5292 weeks
238-1.34745 -1.21745 (238*2π)/5292 weeks
239.55002 -2.95008 (239*2π)/5292 weeks
2404.10378 -2.67305 (240*2π)/5292 weeks
2415.36108 1.23551 (241*2π)/5292 weeks
2422.28965 3.83923 (242*2π)/5292 weeks
243-.92285 2.82714 (243*2π)/5292 weeks
244-2.41501 .47975 (244*2π)/5292 weeks
245-1.58009 -3.35203 (245*2π)/5292 weeks
2462.44213 -4.62605 (246*2π)/5292 weeks
2476.22395 -1.17331 (247*2π)/5292 weeks
2483.82493 3.50672 (248*2π)/5292 weeks
249-.12461 3.03783 (249*2π)/5292 weeks
250-2.16358 .43792 (250*2π)/5292 weeks
251-.53249 -3.5329 (251*2π)/5292 weeks
2523.83121 -3.41841 (252*2π)/5292 weeks
2534.89135 1.20365 (253*2π)/5292 weeks
2541.21656 2.60051 (254*2π)/5292 weeks
255-.91435 .48621 (255*2π)/5292 weeks
256.11342 -2.51922 (256*2π)/5292 weeks
2572.73803 -2.9015 (257*2π)/5292 weeks
2585.32036 -.54908 (258*2π)/5292 weeks
2593.33775 3.52965 (259*2π)/5292 weeks
260-.82962 2.19075 (260*2π)/5292 weeks
261-.85907 -.7727 (261*2π)/5292 weeks
262.6315 -2.45909 (262*2π)/5292 weeks
2632.29946 -2.65326 (263*2π)/5292 weeks
2644.83536 -1.69293 (264*2π)/5292 weeks
2654.83536 1.69293 (265*2π)/5292 weeks
2662.29946 2.65326 (266*2π)/5292 weeks
267.6315 2.45909 (267*2π)/5292 weeks
268-.85907 .7727 (268*2π)/5292 weeks
269-.82962 -2.19075 (269*2π)/5292 weeks
2703.33775 -3.52965 (270*2π)/5292 weeks
2715.32036 .54908 (271*2π)/5292 weeks
2722.73803 2.9015 (272*2π)/5292 weeks
273.11342 2.51922 (273*2π)/5292 weeks
274-.91435 -.48621 (274*2π)/5292 weeks
2751.21656 -2.60051 (275*2π)/5292 weeks
2764.89135 -1.20365 (276*2π)/5292 weeks
2773.83121 3.41841 (277*2π)/5292 weeks
278-.53249 3.5329 (278*2π)/5292 weeks
279-2.16358 -.43792 (279*2π)/5292 weeks
280-.12461 -3.03783 (280*2π)/5292 weeks
2813.82493 -3.50672 (281*2π)/5292 weeks
2826.22395 1.17331 (282*2π)/5292 weeks
2832.44213 4.62605 (283*2π)/5292 weeks
284-1.58009 3.35203 (284*2π)/5292 weeks
285-2.41501 -.47975 (285*2π)/5292 weeks
286-.92285 -2.82714 (286*2π)/5292 weeks
2872.28965 -3.83923 (287*2π)/5292 weeks
2885.36108 -1.23551 (288*2π)/5292 weeks
2894.10378 2.67305 (289*2π)/5292 weeks
290.55002 2.95008 (290*2π)/5292 weeks
291-1.34745 1.21745 (291*2π)/5292 weeks
292-.21542 -2.20654 (292*2π)/5292 weeks
2932.75802 -1.65979 (293*2π)/5292 weeks
2942.80914 .46248 (294*2π)/5292 weeks
2952.19519 1.62474 (295*2π)/5292 weeks
296-.50352 1.92561 (296*2π)/5292 weeks
297-1.18628 -.91371 (297*2π)/5292 weeks
298.12445 -2.89052 (298*2π)/5292 weeks
2994.14415 -2.76349 (299*2π)/5292 weeks
3004.56912 1.03184 (300*2π)/5292 weeks
3012.47581 3.32782 (301*2π)/5292 weeks
302-1.42366 2.52444 (302*2π)/5292 weeks
303-1.95555 -1.47712 (303*2π)/5292 weeks
3041.45289 -3.21771 (304*2π)/5292 weeks
3054.13751 -.80435 (305*2π)/5292 weeks
3062.90001 2.44594 (306*2π)/5292 weeks
307-.47945 2.29182 (307*2π)/5292 weeks
308-1.8135 -.18888 (308*2π)/5292 weeks
309-.68416 -3.11706 (309*2π)/5292 weeks
3103.83098 -3.06885 (310*2π)/5292 weeks
3114.07449 1.76718 (311*2π)/5292 weeks
312.41013 3.05981 (312*2π)/5292 weeks
313-2.56009 .3964 (313*2π)/5292 weeks
314-.68826 -3.04801 (314*2π)/5292 weeks
3151.80532 -2.24952 (315*2π)/5292 weeks
3162.24394 -1.33475 (316*2π)/5292 weeks
3172.01795 -.38175 (317*2π)/5292 weeks
318.78503 -.71769 (318*2π)/5292 weeks
3192.2125 -2.24711 (319*2π)/5292 weeks
3204.12951 .0002 (320*2π)/5292 weeks
3211.81255 2.67373 (321*2π)/5292 weeks
322-1.61797 1.39745 (322*2π)/5292 weeks
323-1.7273 -2.92825 (323*2π)/5292 weeks
3242.82138 -3.64081 (324*2π)/5292 weeks
3254.07609 -.7155 (325*2π)/5292 weeks
3262.95608 1.57513 (326*2π)/5292 weeks
327-.7658 1.50164 (327*2π)/5292 weeks
328-.85114 -2.43648 (328*2π)/5292 weeks
3292.79891 -3.17938 (329*2π)/5292 weeks
3304.93722 -.32973 (330*2π)/5292 weeks
3312.56944 2.86156 (331*2π)/5292 weeks
332-.24223 1.32883 (332*2π)/5292 weeks
333.09776 .36598 (333*2π)/5292 weeks
334-.84649 -1.07928 (334*2π)/5292 weeks
3351.52947 -1.45358 (335*2π)/5292 weeks
336.3602 -.63121 (336*2π)/5292 weeks
3371.32201 -1.212 (337*2π)/5292 weeks
338.70528 -.69296 (338*2π)/5292 weeks
339.52829 -1.77475 (339*2π)/5292 weeks
3401.14181 -2.46863 (340*2π)/5292 weeks
3413.65667 -2.95474 (341*2π)/5292 weeks
3424.05585 .6688 (342*2π)/5292 weeks
3432.05816 .60177 (343*2π)/5292 weeks
3442.08353 .98945 (344*2π)/5292 weeks
345.77113 1.21447 (345*2π)/5292 weeks
346-.03908 .07517 (346*2π)/5292 weeks
347.21412 -1.03249 (347*2π)/5292 weeks
3481.27386 -.93999 (348*2π)/5292 weeks
3491.09516 .0377 (349*2π)/5292 weeks
350.11236 -.03542 (350*2π)/5292 weeks
351-.97234 -1.62006 (351*2π)/5292 weeks
352.89065 -3.76299 (352*2π)/5292 weeks
3533.56204 -2.83405 (353*2π)/5291 weeks
3544.25231 .38674 (354*2π)/5291 weeks
3551.32513 2.47493 (355*2π)/5291 weeks
356-1.68196 .47693 (356*2π)/5291 weeks
357-1.23224 -2.90002 (357*2π)/5291 weeks
3581.85116 -4.10521 (358*2π)/5291 weeks
3594.15655 -2.47268 (359*2π)/5291 weeks
3604.2784 .29179 (360*2π)/5291 weeks
3611.93689 1.9515 (361*2π)/5291 weeks
362-.28152 1.17987 (362*2π)/5291 weeks
363-1.10026 -1.2974 (363*2π)/5291 weeks
3641.28503 -3.07208 (364*2π)/5291 weeks
3653.3634 -1.52885 (365*2π)/5291 weeks
3662.98208 1.15035 (366*2π)/5291 weeks
367-.23422 1.95611 (367*2π)/5291 weeks
368-2.08183 -1.22023 (368*2π)/5291 weeks
369.12262 -3.54736 (369*2π)/5291 weeks
3702.34074 -2.88501 (370*2π)/5291 weeks
3713.25094 -.75916 (371*2π)/5291 weeks
3721.12723 .09695 (372*2π)/5291 weeks
373.40725 -1.03995 (373*2π)/5291 weeks
3741.22773 -1.7 (374*2π)/5291 weeks
3751.0174 -.95268 (375*2π)/5291 weeks
3761.18367 -2.87275 (376*2π)/5291 weeks
3773.24668 -.99905 (377*2π)/5291 weeks
3781.36015 -.17083 (378*2π)/5291 weeks
3791.18947 -.84378 (379*2π)/5291 weeks
380.65787 -1.27071 (380*2π)/5291 weeks
3811.77392 -1.96106 (381*2π)/5291 weeks
3822.17433 -1.17551 (382*2π)/5291 weeks
3833.05497 -.04864 (383*2π)/5291 weeks
384.27384 2.07634 (384*2π)/5291 weeks
385-1.83346 -1.20057 (385*2π)/5291 weeks
386-.38451 -3.36689 (386*2π)/5291 weeks
3872.83151 -4.11069 (387*2π)/5291 weeks
3884.26878 -.70278 (388*2π)/5291 weeks
3891.81647 1.51313 (389*2π)/5291 weeks
390-1.62304 .60226 (390*2π)/5291 weeks
391-1.0252 -4.2059 (391*2π)/5291 weeks
3923.97865 -3.30528 (392*2π)/5291 weeks
3932.63057 .35007 (393*2π)/5291 weeks
3941.50104 -.10909 (394*2π)/5291 weeks
395-.04013 -.02802 (395*2π)/5291 weeks
396-.74896 -1.07987 (396*2π)/5291 weeks
397-1.91034 -3.11229 (397*2π)/5291 weeks
3981.19753 -6.14739 (398*2π)/5291 weeks
3994.96805 -3.6194 (399*2π)/5291 weeks
4005.02544 -.41554 (400*2π)/5291 weeks
4012.3329 2.10551 (401*2π)/5291 weeks
402-1.49633 -.20058 (402*2π)/5291 weeks
403.0454 -3.56303 (403*2π)/5291 weeks
4042.95572 -2.89029 (404*2π)/5291 weeks
4053.06878 -.40607 (405*2π)/5291 weeks
406.95119 .13064 (406*2π)/5291 weeks
407-.5659 -.24544 (407*2π)/5291 weeks
408-1.61619 -2.81903 (408*2π)/5291 weeks
409.63345 -5.77575 (409*2π)/5291 weeks
4105.4825 -4.89784 (410*2π)/5291 weeks
4115.84251 .64259 (411*2π)/5291 weeks
4121.09649 2.92501 (412*2π)/5291 weeks
413-2.22883 -.98948 (413*2π)/5291 weeks
414-.42941 -4.43283 (414*2π)/5291 weeks
4153.40662 -4.21604 (415*2π)/5291 weeks
4164.63239 -1.33361 (416*2π)/5291 weeks
4173.16452 2.00837 (417*2π)/5291 weeks
418-1.62669 1.93343 (418*2π)/5291 weeks
419-3.85441 -3.3924 (419*2π)/5291 weeks
420.27275 -7.24801 (420*2π)/5291 weeks
4215.75098 -6.70428 (421*2π)/5291 weeks
4228.59586 -.10879 (422*2π)/5291 weeks
4232.41112 5.51815 (423*2π)/5291 weeks
424-4.76858 1.80405 (424*2π)/5291 weeks
425-4.15078 -6.06855 (425*2π)/5291 weeks
4262.57615 -8.89457 (426*2π)/5291 weeks
4278.87784 -4.96213 (427*2π)/5291 weeks
4287.5719 3.23669 (428*2π)/5291 weeks
429.40307 5.8425 (429*2π)/5291 weeks
430-5.55349 -.00617 (430*2π)/5291 weeks
431-2.36401 -7.2524 (431*2π)/5291 weeks
4324.7908 -7.00955 (432*2π)/5291 weeks
4337.81881 -1.00081 (433*2π)/5291 weeks
4342.97004 4.08378 (434*2π)/5291 weeks
435-2.68404 1.63484 (435*2π)/5291 weeks
436-2.65083 -3.44217 (436*2π)/5291 weeks
4371.45797 -5.23535 (437*2π)/5291 weeks
4382.91881 -1.78161 (438*2π)/5291 weeks
439.74351 -2.05475 (439*2π)/5291 weeks
4402.10989 -1.90401 (440*2π)/5291 weeks
441.58686 -.49412 (441*2π)/5291 weeks
442-1.89704 -1.94112 (442*2π)/5291 weeks
443-1.74243 -5.47445 (443*2π)/5291 weeks
4442.13176 -8.21077 (444*2π)/5291 weeks
4458.22998 -5.2725 (445*2π)/5291 weeks
4467.73957 2.02463 (446*2π)/5291 weeks
447-.24064 5.20145 (447*2π)/5291 weeks
448-4.95568 -2.04827 (448*2π)/5291 weeks
449-1.84481 -6.45091 (449*2π)/5291 weeks
4503.00224 -8.63125 (450*2π)/5291 weeks
4517.97479 -4.2276 (451*2π)/5291 weeks
4526.95594 1.58958 (452*2π)/5291 weeks
453-.00975 4.82974 (453*2π)/5291 weeks
454-4.63931 -2.83237 (454*2π)/5291 weeks
4551.64313 -5.44825 (455*2π)/5291 weeks
4561.9134 -4.52395 (456*2π)/5291 weeks
4576.79244 -2.37349 (457*2π)/5291 weeks
4582.75883 5.00469 (458*2π)/5291 weeks
459-5.32591 1.72891 (459*2π)/5291 weeks
460-6.20902 -6.31863 (460*2π)/5291 weeks
461.98781 -10.11247 (461*2π)/5291 weeks
4625.39175 -4.42388 (462*2π)/5291 weeks
4631.80939 -2.7415 (463*2π)/5291 weeks
4642.47232 -2.86645 (464*2π)/5291 weeks
4651.47631 -5.17428 (465*2π)/5291 weeks
4666.22776 -2.86038 (466*2π)/5291 weeks
4673.44671 2.73986 (467*2π)/5291 weeks
468-2.57606 .92428 (468*2π)/5291 weeks
469-4.44606 -3.78194 (469*2π)/5291 weeks
4701.05847 -7.51116 (470*2π)/5291 weeks
4712.76749 -2.64026 (471*2π)/5291 weeks
472-.47457 -2.8162 (472*2π)/5291 weeks
473-1.5517 -5.49952 (473*2π)/5291 weeks
4741.514 -9.09495 (474*2π)/5291 weeks
4759.16899 -6.35486 (475*2π)/5291 weeks
4765.75787 2.87129 (476*2π)/5291 weeks
477-1.18032 1.17409 (477*2π)/5291 weeks
478-2.0583 -2.04338 (478*2π)/5291 weeks
479-1.89413 -5.53871 (479*2π)/5291 weeks
4801.5159 -4.25916 (480*2π)/5291 weeks
481-.03103 -2.60868 (481*2π)/5291 weeks
482-2.01076 -3.1827 (482*2π)/5291 weeks
483-2.72145 -4.49916 (483*2π)/5291 weeks
484-2.62564 -9.79015 (484*2π)/5291 weeks
4852.57915 -8.63709 (485*2π)/5291 weeks
4861.28361 -6.72258 (486*2π)/5291 weeks
4873.08116 -7.07008 (487*2π)/5291 weeks
4882.49769 -7.57621 (488*2π)/5291 weeks
4897.00051 -4.47654 (489*2π)/5291 weeks
490.53421 2.09907 (490*2π)/5291 weeks
491-6.11832 -2.46218 (491*2π)/5291 weeks
492-7.64398 -11.61865 (492*2π)/5291 weeks
493.86623 -19.89466 (493*2π)/5291 weeks
49416.59885 -14.67313 (494*2π)/5291 weeks
49519.14911 4.00054 (495*2π)/5291 weeks
496-.67601 19.23063 (496*2π)/5291 weeks
497-25.98373 1.45397 (497*2π)/5291 weeks
498-16.95463 -27.39804 (498*2π)/5291 weeks
49910.55068 -29.61037 (499*2π)/5291 weeks
50023.95371 -6.05564 (500*2π)/5291 weeks
5016.55399 12.17315 (501*2π)/5291 weeks
502-12.65245 3.36064 (502*2π)/5291 weeks
503-16.79186 -12.40688 (503*2π)/5291 weeks
504-4.2344 -27.98466 (504*2π)/5291 weeks
50510.89624 -19.47818 (505*2π)/5291 weeks
5069.31526 -8.73891 (506*2π)/5291 weeks
507-.44916 -7.2342 (507*2π)/5291 weeks
5082.53549 -15.73851 (508*2π)/5291 weeks
5096.10414 -9.6232 (509*2π)/5291 weeks
510-1.47803 -11.48219 (510*2π)/5291 weeks
5114.4089 -19.24517 (511*2π)/5291 weeks
51210.88969 -8.9683 (512*2π)/5291 weeks
513.03994 -9.05662 (513*2π)/5291 weeks
514-.06932 -8.99556 (514*2π)/5291 weeks
515-8.86733 -11.41775 (515*2π)/5291 weeks
516-14.04844 -26.03159 (516*2π)/5291 weeks
5172.27002 -44.57471 (517*2π)/5291 weeks
51830.00027 -31.42281 (518*2π)/5291 weeks
51922.23185 -6.50635 (519*2π)/5291 weeks
5208.72466 4.95366 (520*2π)/5291 weeks
521-32.92746 -2.56119 (521*2π)/5291 weeks
522-28.91226 -65.59322 (522*2π)/5291 weeks
52327.27809 -72.16478 (523*2π)/5291 weeks
52449.00103 -19.41559 (524*2π)/5291 weeks
525-10.80732 23.74956 (525*2π)/5291 weeks
526-119.6843 -48.2032 (526*2π)/5291 weeks
527-104.5777 -248.5869 (527*2π)/5291 weeks

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