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Fourier Analysis of SCC (ProShares UltraShort Consumer Services ETF)


SCC (ProShares UltraShort Consumer Services ETF) appears to have interesting cyclic behaviour every 46 weeks (43.3478*sine), 42 weeks (34.5198*sine), and 50 weeks (30.352*cosine).

SCC (ProShares UltraShort Consumer Services ETF) has an average price of 404.85 (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 7/17/2017 for SCC (ProShares UltraShort Consumer Services ETF), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
0404.8484   0 
1185.2486 472.5537 (1*2π)/547547 weeks
2-94.33312 254.798 (2*2π)/547274 weeks
3-122.5973 62.8092 (3*2π)/547182 weeks
4-24.33945 -22.61068 (4*2π)/547137 weeks
543.01794 9.77733 (5*2π)/547109 weeks
635.90951 64.10835 (6*2π)/54791 weeks
7-15.15041 71.31394 (7*2π)/54778 weeks
8-40.63466 16.74581 (8*2π)/54768 weeks
9-.8439 -8.21148 (9*2π)/54761 weeks
1017.27284 4.11905 (10*2π)/54755 weeks
1130.35199 19.20337 (11*2π)/54750 weeks
1214.41926 43.34784 (12*2π)/54746 weeks
13-10.12677 34.51976 (13*2π)/54742 weeks
14-11.69178 16.21871 (14*2π)/54739 weeks
15-3.54579 8.36622 (15*2π)/54736 weeks
161.20989 9.98769 (16*2π)/54734 weeks
173.21831 5.12194 (17*2π)/54732 weeks
1810.54505 14.65255 (18*2π)/54730 weeks
19.26633 17.09218 (19*2π)/54729 weeks
20.50978 8.65155 (20*2π)/54727 weeks
216.62101 11.9501 (21*2π)/54726 weeks
22.03711 14.40116 (22*2π)/54725 weeks
232.14216 5.49739 (23*2π)/54724 weeks
2410.02754 10.03058 (24*2π)/54723 weeks
259.32836 21.14787 (25*2π)/54722 weeks
26-7.31681 26.27654 (26*2π)/54721 weeks
27-16.29733 10.32939 (27*2π)/54720 weeks
28-11.46031 -4.26938 (28*2π)/54720 weeks
297.47298 -11.50032 (29*2π)/54719 weeks
3023.24868 6.19171 (30*2π)/54718 weeks
3110.70884 28.40834 (31*2π)/54718 weeks
32-15.04508 27.51299 (32*2π)/54717 weeks
33-25.70657 1.37025 (33*2π)/54717 weeks
34-4.21347 -18.56556 (34*2π)/54716 weeks
3517.29624 -6.9723 (35*2π)/54716 weeks
3617.81206 11.21345 (36*2π)/54715 weeks
374.13846 19.8865 (37*2π)/54715 weeks
38-6.13778 13.64801 (38*2π)/54714 weeks
39-7.10874 4.38515 (39*2π)/54714 weeks
40-2.26607 -.95619 (40*2π)/54714 weeks
416.37633 1.18177 (41*2π)/54713 weeks
424.30173 7.51579 (42*2π)/54713 weeks
432.56282 5.96272 (43*2π)/54713 weeks
441.673 7.44994 (44*2π)/54712 weeks
452.45507 6.56271 (45*2π)/54712 weeks
46.63214 9.84805 (46*2π)/54712 weeks
47-4.20467 6.61635 (47*2π)/54712 weeks
48-2.23966 4.26235 (48*2π)/54711 weeks
49-1.07231 2.57658 (49*2π)/54711 weeks
50.72785 2.64653 (50*2π)/54711 weeks
511.09223 5.11093 (51*2π)/54711 weeks
52-2.64248 4.08313 (52*2π)/54711 weeks
53-2.04975 1.51076 (53*2π)/54710 weeks
54-.3581 -2.06556 (54*2π)/54710 weeks
557.12075 -1.80559 (55*2π)/54710 weeks
567.9283 7.56354 (56*2π)/54710 weeks
57.91307 8.53747 (57*2π)/54710 weeks
58-1.46072 5.02932 (58*2π)/5479 weeks
59-.35608 2.66683 (59*2π)/5479 weeks
602.75206 2.65913 (60*2π)/5479 weeks
611.07963 7.23507 (61*2π)/5479 weeks
62-4.23799 3.93936 (62*2π)/5479 weeks
63-2.62429 -.56179 (63*2π)/5479 weeks
642.62146 -2.85902 (64*2π)/5479 weeks
656.09008 1.99498 (65*2π)/5478 weeks
662.24049 5.51242 (66*2π)/5478 weeks
671.90552 2.52851 (67*2π)/5478 weeks
681.71512 3.25684 (68*2π)/5478 weeks
694.54554 2.87729 (69*2π)/5478 weeks
703.4221 8.88453 (70*2π)/5478 weeks
71-4.09556 8.261 (71*2π)/5478 weeks
72-6.41335 .75267 (72*2π)/5478 weeks
73-1.32671 -4.95701 (73*2π)/5477 weeks
746.36735 -1.36105 (74*2π)/5477 weeks
753.96404 4.89748 (75*2π)/5477 weeks
762.02407 3.76805 (76*2π)/5477 weeks
77-1.27108 5.91303 (77*2π)/5477 weeks
78-4.18342 -1.3736 (78*2π)/5477 weeks
793.48311 -4.46246 (79*2π)/5477 weeks
807.49346 .37162 (80*2π)/5477 weeks
816.80561 6.09079 (81*2π)/5477 weeks
82.99148 8.13566 (82*2π)/5477 weeks
83-2.61414 5.56454 (83*2π)/5477 weeks
84-4.93983 .12226 (84*2π)/5477 weeks
851.58571 -5.20913 (85*2π)/5476 weeks
868.00597 -.73542 (86*2π)/5476 weeks
877.41676 6.04428 (87*2π)/5476 weeks
881.562 7.83872 (88*2π)/5476 weeks
89-1.77802 5.06865 (89*2π)/5476 weeks
90-1.80848 1.7909 (90*2π)/5476 weeks
91.52212 .48721 (91*2π)/5476 weeks
922.00729 1.76101 (92*2π)/5476 weeks
93.75653 2.08286 (93*2π)/5476 weeks
942.66259 1.46344 (94*2π)/5476 weeks
951.9977 4.8317 (95*2π)/5476 weeks
96-2.12121 3.94124 (96*2π)/5476 weeks
97-3.07102 -.56123 (97*2π)/5476 weeks
981.37456 -4.00993 (98*2π)/5476 weeks
997.05977 -.92196 (99*2π)/5476 weeks
1006.06909 5.50596 (100*2π)/5475 weeks
101.09434 7.92132 (101*2π)/5475 weeks
102-5.24917 3.00807 (102*2π)/5475 weeks
103-2.74278 -4.32796 (103*2π)/5475 weeks
1044.69136 -4.8523 (104*2π)/5475 weeks
1059.31256 .93713 (105*2π)/5475 weeks
1065.73099 7.63852 (106*2π)/5475 weeks
107-.84444 8.28489 (107*2π)/5475 weeks
108-5.32878 2.77114 (108*2π)/5475 weeks
109-2.22358 -4.1553 (109*2π)/5475 weeks
1105.45483 -4.35932 (110*2π)/5475 weeks
1118.13853 2.70917 (111*2π)/5475 weeks
1123.71477 7.13315 (112*2π)/5475 weeks
113-1.06816 6.51319 (113*2π)/5475 weeks
114-3.8063 1.75825 (114*2π)/5475 weeks
115-.54597 -2.27357 (115*2π)/5475 weeks
1163.69826 -1.36122 (116*2π)/5475 weeks
1174.49547 1.69483 (117*2π)/5475 weeks
1183.02763 4.29796 (118*2π)/5475 weeks
119-.58899 4.0578 (119*2π)/5475 weeks
120-2.08885 .74259 (120*2π)/5475 weeks
1211.18949 -2.79424 (121*2π)/5475 weeks
1225.58824 -.64842 (122*2π)/5474 weeks
1235.45805 4.52638 (123*2π)/5474 weeks
124.91071 5.69355 (124*2π)/5474 weeks
125-1.50447 3.09146 (125*2π)/5474 weeks
126-.82127 .50457 (126*2π)/5474 weeks
127.74944 .01317 (127*2π)/5474 weeks
1282.55214 -.0178 (128*2π)/5474 weeks
1293.10053 2.19281 (129*2π)/5474 weeks
130.92858 3.62659 (130*2π)/5474 weeks
131-1.41302 1.42773 (131*2π)/5474 weeks
132.6853 -2.08739 (132*2π)/5474 weeks
1334.23291 -.74086 (133*2π)/5474 weeks
1344.97117 2.24627 (134*2π)/5474 weeks
1353.34657 5.5066 (135*2π)/5474 weeks
136-.99941 4.81114 (136*2π)/5474 weeks
137-1.26956 1.46751 (137*2π)/5474 weeks
138-.43926 .59641 (138*2π)/5474 weeks
139.69509 -.29444 (139*2π)/5474 weeks
1401.37767 .17845 (140*2π)/5474 weeks
1413.57413 .43612 (141*2π)/5474 weeks
1422.54106 4.51734 (142*2π)/5474 weeks
143-1.96293 2.86033 (143*2π)/5474 weeks
144-.59596 -1.27353 (144*2π)/5474 weeks
1452.44855 -1.26002 (145*2π)/5474 weeks
1464.1813 1.41907 (146*2π)/5474 weeks
1472.03808 4.24022 (147*2π)/5474 weeks
148-.61521 3.04571 (148*2π)/5474 weeks
149-1.83473 .78748 (149*2π)/5474 weeks
150.5905 -2.09202 (150*2π)/5474 weeks
1513.00007 .112 (151*2π)/5474 weeks
1522.13465 1.14993 (152*2π)/5474 weeks
1531.76204 1.89674 (153*2π)/5474 weeks
154.63399 1.3287 (154*2π)/5474 weeks
1551.17106 .77943 (155*2π)/5474 weeks
1561.25069 .27799 (156*2π)/5474 weeks
1573.02538 .52221 (157*2π)/5473 weeks
1581.86302 2.91161 (158*2π)/5473 weeks
159.63782 1.14905 (159*2π)/5473 weeks
1601.38042 1.51453 (160*2π)/5473 weeks
161.4923 1.36115 (161*2π)/5473 weeks
162.72926 .19278 (162*2π)/5473 weeks
1632.52118 -.12729 (163*2π)/5473 weeks
1642.83135 2.25489 (164*2π)/5473 weeks
1651.21323 3.39729 (165*2π)/5473 weeks
166-1.37106 2.63143 (166*2π)/5473 weeks
167-1.72666 -.7286 (167*2π)/5473 weeks
1681.39316 -2.06634 (168*2π)/5473 weeks
1693.40745 -.00306 (169*2π)/5473 weeks
1702.68552 2.31677 (170*2π)/5473 weeks
171.12681 2.82125 (171*2π)/5473 weeks
172-1.06551 .34078 (172*2π)/5473 weeks
173.3435 -1.54533 (173*2π)/5473 weeks
1742.6416 -1.83062 (174*2π)/5473 weeks
1754.33902 .31155 (175*2π)/5473 weeks
1763.71677 2.88944 (176*2π)/5473 weeks
1771.27775 4.11276 (177*2π)/5473 weeks
178-1.43012 2.47468 (178*2π)/5473 weeks
179-1.45687 -.77661 (179*2π)/5473 weeks
1801.56683 -2.37961 (180*2π)/5473 weeks
1814.18101 -.24494 (181*2π)/5473 weeks
1823.46012 2.76791 (182*2π)/5473 weeks
183.96128 3.68009 (183*2π)/5473 weeks
184-.94207 1.73953 (184*2π)/5473 weeks
185-.0519 .06654 (185*2π)/5473 weeks
186.86897 -.10568 (186*2π)/5473 weeks
1871.30668 .74779 (187*2π)/5473 weeks
188.46122 1.09227 (188*2π)/5473 weeks
189-.0033 .11823 (189*2π)/5473 weeks
190.3941 -.99642 (190*2π)/5473 weeks
1911.66303 -1.15282 (191*2π)/5473 weeks
1922.02688 -.4425 (192*2π)/5473 weeks
1932.94109 -1.09883 (193*2π)/5473 weeks
1944.56717 1.60244 (194*2π)/5473 weeks
1951.7505 2.94261 (195*2π)/5473 weeks
196.87477 2.03023 (196*2π)/5473 weeks
197.3634 1.14447 (197*2π)/5473 weeks
1981.11443 .69258 (198*2π)/5473 weeks
199.70497 1.40382 (199*2π)/5473 weeks
2001.0856 .26659 (200*2π)/5473 weeks
201.66261 1.98528 (201*2π)/5473 weeks
202-.73754 .1184 (202*2π)/5473 weeks
203.01601 -.25314 (203*2π)/5473 weeks
204.05186 -1.97592 (204*2π)/5473 weeks
2053.39563 -2.3635 (205*2π)/5473 weeks
2064.57925 1.16419 (206*2π)/5473 weeks
2072.13814 3.27964 (207*2π)/5473 weeks
208-1.1205 1.81017 (208*2π)/5473 weeks
209-.34007 -1.81119 (209*2π)/5473 weeks
2102.98773 -1.32404 (210*2π)/5473 weeks
2113.91884 .82161 (211*2π)/5473 weeks
2122.65355 3.54067 (212*2π)/5473 weeks
213-1.59599 2.83992 (213*2π)/5473 weeks
214-1.60639 -1.2068 (214*2π)/5473 weeks
2151.52639 -2.58821 (215*2π)/5473 weeks
2163.976 -.34782 (216*2π)/5473 weeks
2172.52524 2.10133 (217*2π)/5473 weeks
218.70974 1.00494 (218*2π)/5473 weeks
2191.78127 .19854 (219*2π)/5472 weeks
2202.23771 1.05506 (220*2π)/5472 weeks
2211.86074 1.90877 (221*2π)/5472 weeks
222.32654 3.15386 (222*2π)/5472 weeks
223-2.45456 1.13683 (223*2π)/5472 weeks
224-.96973 -2.4846 (224*2π)/5472 weeks
2252.59231 -2.69983 (225*2π)/5472 weeks
2264.81101 .88376 (226*2π)/5472 weeks
2271.23308 3.83362 (227*2π)/5472 weeks
228-1.5551 1.58647 (228*2π)/5472 weeks
229-1.4616 -1.08673 (229*2π)/5472 weeks
230.74551 -2.85978 (230*2π)/5472 weeks
2313.71386 -1.32782 (231*2π)/5472 weeks
2323.48096 1.96623 (232*2π)/5472 weeks
233.2246 3.03999 (233*2π)/5472 weeks
234-2.20775 .26358 (234*2π)/5472 weeks
235-.50269 -3.1356 (235*2π)/5472 weeks
2363.04294 -2.77566 (236*2π)/5472 weeks
2374.65579 -.41728 (237*2π)/5472 weeks
2383.4191 3.18229 (238*2π)/5472 weeks
239-.07762 2.53067 (239*2π)/5472 weeks
240-1.20545 .69681 (240*2π)/5472 weeks
241-.30808 -1.94232 (241*2π)/5472 weeks
2422.11777 -1.49217 (242*2π)/5472 weeks
2432.68529 -.45692 (243*2π)/5472 weeks
2442.72117 1.51267 (244*2π)/5472 weeks
245.01829 2.2046 (245*2π)/5472 weeks
246-1.4506 -.85869 (246*2π)/5472 weeks
247.24302 -2.61822 (247*2π)/5472 weeks
2483.40179 -2.95516 (248*2π)/5472 weeks
2495.29182 .30409 (249*2π)/5472 weeks
2503.05576 3.43267 (250*2π)/5472 weeks
251-.19883 3.19675 (251*2π)/5472 weeks
252-1.89043 1.19779 (252*2π)/5472 weeks
253-2.30436 -2.0717 (253*2π)/5472 weeks
254.82383 -4.38819 (254*2π)/5472 weeks
2555.06037 -3.10068 (255*2π)/5472 weeks
2565.43604 1.94994 (256*2π)/5472 weeks
2571.41101 3.55531 (257*2π)/5472 weeks
258-1.21328 1.86343 (258*2π)/5472 weeks
259-2.07054 -1.59475 (259*2π)/5472 weeks
2601.25232 -3.89163 (260*2π)/5472 weeks
2614.90763 -1.69023 (261*2π)/5472 weeks
2623.41926 2.31223 (262*2π)/5472 weeks
263.1863 1.98452 (263*2π)/5472 weeks
264-1.04181 -.49193 (264*2π)/5472 weeks
265.87421 -2.68321 (265*2π)/5472 weeks
2663.34846 -2.59931 (266*2π)/5472 weeks
2675.20899 .36685 (267*2π)/5472 weeks
2682.30923 3.58935 (268*2π)/5472 weeks
269-1.0337 1.54313 (269*2π)/5472 weeks
270-.68595 -.99686 (270*2π)/5472 weeks
271.8419 -2.41937 (271*2π)/5472 weeks
2722.33808 -2.56222 (272*2π)/5472 weeks
2734.704 -1.57939 (273*2π)/5472 weeks
2744.704 1.57939 (274*2π)/5472 weeks
2752.33808 2.56222 (275*2π)/5472 weeks
276.8419 2.41937 (276*2π)/5472 weeks
277-.68595 .99686 (277*2π)/5472 weeks
278-1.0337 -1.54313 (278*2π)/5472 weeks
2792.30923 -3.58935 (279*2π)/5472 weeks
2805.20899 -.36685 (280*2π)/5472 weeks
2813.34846 2.59931 (281*2π)/5472 weeks
282.87421 2.68321 (282*2π)/5472 weeks
283-1.04181 .49193 (283*2π)/5472 weeks
284.1863 -1.98452 (284*2π)/5472 weeks
2853.41926 -2.31223 (285*2π)/5472 weeks
2864.90763 1.69023 (286*2π)/5472 weeks
2871.25232 3.89163 (287*2π)/5472 weeks
288-2.07054 1.59475 (288*2π)/5472 weeks
289-1.21328 -1.86343 (289*2π)/5472 weeks
2901.41101 -3.55531 (290*2π)/5472 weeks
2915.43604 -1.94994 (291*2π)/5472 weeks
2925.06037 3.10068 (292*2π)/5472 weeks
293.82383 4.38819 (293*2π)/5472 weeks
294-2.30436 2.0717 (294*2π)/5472 weeks
295-1.89043 -1.19779 (295*2π)/5472 weeks
296-.19883 -3.19675 (296*2π)/5472 weeks
2973.05576 -3.43267 (297*2π)/5472 weeks
2985.29182 -.30409 (298*2π)/5472 weeks
2993.40179 2.95516 (299*2π)/5472 weeks
300.24302 2.61822 (300*2π)/5472 weeks
301-1.4506 .85869 (301*2π)/5472 weeks
302.01829 -2.2046 (302*2π)/5472 weeks
3032.72117 -1.51267 (303*2π)/5472 weeks
3042.68529 .45692 (304*2π)/5472 weeks
3052.11777 1.49217 (305*2π)/5472 weeks
306-.30808 1.94232 (306*2π)/5472 weeks
307-1.20545 -.69681 (307*2π)/5472 weeks
308-.07762 -2.53067 (308*2π)/5472 weeks
3093.4191 -3.18229 (309*2π)/5472 weeks
3104.65579 .41728 (310*2π)/5472 weeks
3113.04294 2.77566 (311*2π)/5472 weeks
312-.50269 3.1356 (312*2π)/5472 weeks
313-2.20775 -.26358 (313*2π)/5472 weeks
314.2246 -3.03999 (314*2π)/5472 weeks
3153.48096 -1.96623 (315*2π)/5472 weeks
3163.71386 1.32782 (316*2π)/5472 weeks
317.74551 2.85978 (317*2π)/5472 weeks
318-1.4616 1.08673 (318*2π)/5472 weeks
319-1.5551 -1.58647 (319*2π)/5472 weeks
3201.23308 -3.83362 (320*2π)/5472 weeks
3214.81101 -.88376 (321*2π)/5472 weeks
3222.59231 2.69983 (322*2π)/5472 weeks
323-.96973 2.4846 (323*2π)/5472 weeks
324-2.45456 -1.13683 (324*2π)/5472 weeks
325.32654 -3.15386 (325*2π)/5472 weeks
3261.86074 -1.90877 (326*2π)/5472 weeks
3272.23771 -1.05506 (327*2π)/5472 weeks
3281.78127 -.19854 (328*2π)/5472 weeks
329.70974 -1.00494 (329*2π)/5472 weeks
3302.52524 -2.10133 (330*2π)/5472 weeks
3313.976 .34782 (331*2π)/5472 weeks
3321.52639 2.58821 (332*2π)/5472 weeks
333-1.60639 1.2068 (333*2π)/5472 weeks
334-1.59599 -2.83992 (334*2π)/5472 weeks
3352.65355 -3.54067 (335*2π)/5472 weeks
3363.91884 -.82161 (336*2π)/5472 weeks
3372.98773 1.32404 (337*2π)/5472 weeks
338-.34007 1.81119 (338*2π)/5472 weeks
339-1.1205 -1.81017 (339*2π)/5472 weeks
3402.13814 -3.27964 (340*2π)/5472 weeks
3414.57925 -1.16419 (341*2π)/5472 weeks
3423.39563 2.3635 (342*2π)/5472 weeks
343.05186 1.97592 (343*2π)/5472 weeks
344.01601 .25314 (344*2π)/5472 weeks
345-.73754 -.1184 (345*2π)/5472 weeks
346.66261 -1.98528 (346*2π)/5472 weeks
3471.0856 -.26659 (347*2π)/5472 weeks
348.70497 -1.40382 (348*2π)/5472 weeks
3491.11443 -.69258 (349*2π)/5472 weeks
350.3634 -1.14447 (350*2π)/5472 weeks
351.87477 -2.03023 (351*2π)/5472 weeks
3521.7505 -2.94261 (352*2π)/5472 weeks
3534.56717 -1.60244 (353*2π)/5472 weeks
3542.94109 1.09883 (354*2π)/5472 weeks
3552.02688 .4425 (355*2π)/5472 weeks
3561.66303 1.15282 (356*2π)/5472 weeks
357.3941 .99642 (357*2π)/5472 weeks
358-.0033 -.11823 (358*2π)/5472 weeks
359.46122 -1.09227 (359*2π)/5472 weeks
3601.30668 -.74779 (360*2π)/5472 weeks
361.86897 .10568 (361*2π)/5472 weeks
362-.0519 -.06654 (362*2π)/5472 weeks
363-.94207 -1.73953 (363*2π)/5472 weeks
364.96128 -3.68009 (364*2π)/5472 weeks
3653.46012 -2.76791 (365*2π)/5471 weeks
3664.18101 .24494 (366*2π)/5471 weeks
3671.56683 2.37961 (367*2π)/5471 weeks
368-1.45687 .77661 (368*2π)/5471 weeks
369-1.43012 -2.47468 (369*2π)/5471 weeks
3701.27775 -4.11276 (370*2π)/5471 weeks
3713.71677 -2.88944 (371*2π)/5471 weeks
3724.33902 -.31155 (372*2π)/5471 weeks
3732.6416 1.83062 (373*2π)/5471 weeks
374.3435 1.54533 (374*2π)/5471 weeks
375-1.06551 -.34078 (375*2π)/5471 weeks
376.12681 -2.82125 (376*2π)/5471 weeks
3772.68552 -2.31677 (377*2π)/5471 weeks
3783.40745 .00306 (378*2π)/5471 weeks
3791.39316 2.06634 (379*2π)/5471 weeks
380-1.72666 .7286 (380*2π)/5471 weeks
381-1.37106 -2.63143 (381*2π)/5471 weeks
3821.21323 -3.39729 (382*2π)/5471 weeks
3832.83135 -2.25489 (383*2π)/5471 weeks
3842.52118 .12729 (384*2π)/5471 weeks
385.72926 -.19278 (385*2π)/5471 weeks
386.4923 -1.36115 (386*2π)/5471 weeks
3871.38042 -1.51453 (387*2π)/5471 weeks
388.63782 -1.14905 (388*2π)/5471 weeks
3891.86302 -2.91161 (389*2π)/5471 weeks
3903.02538 -.52221 (390*2π)/5471 weeks
3911.25069 -.27799 (391*2π)/5471 weeks
3921.17106 -.77943 (392*2π)/5471 weeks
393.63399 -1.3287 (393*2π)/5471 weeks
3941.76204 -1.89674 (394*2π)/5471 weeks
3952.13465 -1.14993 (395*2π)/5471 weeks
3963.00007 -.112 (396*2π)/5471 weeks
397.5905 2.09202 (397*2π)/5471 weeks
398-1.83473 -.78748 (398*2π)/5471 weeks
399-.61521 -3.04571 (399*2π)/5471 weeks
4002.03808 -4.24022 (400*2π)/5471 weeks
4014.1813 -1.41907 (401*2π)/5471 weeks
4022.44855 1.26002 (402*2π)/5471 weeks
403-.59596 1.27353 (403*2π)/5471 weeks
404-1.96293 -2.86033 (404*2π)/5471 weeks
4052.54106 -4.51734 (405*2π)/5471 weeks
4063.57413 -.43612 (406*2π)/5471 weeks
4071.37767 -.17845 (407*2π)/5471 weeks
408.69509 .29444 (408*2π)/5471 weeks
409-.43926 -.59641 (409*2π)/5471 weeks
410-1.26956 -1.46751 (410*2π)/5471 weeks
411-.99941 -4.81114 (411*2π)/5471 weeks
4123.34657 -5.5066 (412*2π)/5471 weeks
4134.97117 -2.24627 (413*2π)/5471 weeks
4144.23291 .74086 (414*2π)/5471 weeks
415.6853 2.08739 (415*2π)/5471 weeks
416-1.41302 -1.42773 (416*2π)/5471 weeks
417.92858 -3.62659 (417*2π)/5471 weeks
4183.10053 -2.19281 (418*2π)/5471 weeks
4192.55214 .0178 (419*2π)/5471 weeks
420.74944 -.01317 (420*2π)/5471 weeks
421-.82127 -.50457 (421*2π)/5471 weeks
422-1.50447 -3.09146 (422*2π)/5471 weeks
423.91071 -5.69355 (423*2π)/5471 weeks
4245.45805 -4.52638 (424*2π)/5471 weeks
4255.58824 .64842 (425*2π)/5471 weeks
4261.18949 2.79424 (426*2π)/5471 weeks
427-2.08885 -.74259 (427*2π)/5471 weeks
428-.58899 -4.0578 (428*2π)/5471 weeks
4293.02763 -4.29796 (429*2π)/5471 weeks
4304.49547 -1.69483 (430*2π)/5471 weeks
4313.69826 1.36122 (431*2π)/5471 weeks
432-.54597 2.27357 (432*2π)/5471 weeks
433-3.8063 -1.75825 (433*2π)/5471 weeks
434-1.06816 -6.51319 (434*2π)/5471 weeks
4353.71477 -7.13315 (435*2π)/5471 weeks
4368.13853 -2.70917 (436*2π)/5471 weeks
4375.45483 4.35932 (437*2π)/5471 weeks
438-2.22358 4.1553 (438*2π)/5471 weeks
439-5.32878 -2.77114 (439*2π)/5471 weeks
440-.84444 -8.28489 (440*2π)/5471 weeks
4415.73099 -7.63852 (441*2π)/5471 weeks
4429.31256 -.93713 (442*2π)/5471 weeks
4434.69136 4.8523 (443*2π)/5471 weeks
444-2.74278 4.32796 (444*2π)/5471 weeks
445-5.24917 -3.00807 (445*2π)/5471 weeks
446.09434 -7.92132 (446*2π)/5471 weeks
4476.06909 -5.50596 (447*2π)/5471 weeks
4487.05977 .92196 (448*2π)/5471 weeks
4491.37456 4.00993 (449*2π)/5471 weeks
450-3.07102 .56123 (450*2π)/5471 weeks
451-2.12121 -3.94124 (451*2π)/5471 weeks
4521.9977 -4.8317 (452*2π)/5471 weeks
4532.66259 -1.46344 (453*2π)/5471 weeks
454.75653 -2.08286 (454*2π)/5471 weeks
4552.00729 -1.76101 (455*2π)/5471 weeks
456.52212 -.48721 (456*2π)/5471 weeks
457-1.80848 -1.7909 (457*2π)/5471 weeks
458-1.77802 -5.06865 (458*2π)/5471 weeks
4591.562 -7.83872 (459*2π)/5471 weeks
4607.41676 -6.04428 (460*2π)/5471 weeks
4618.00597 .73542 (461*2π)/5471 weeks
4621.58571 5.20913 (462*2π)/5471 weeks
463-4.93983 -.12226 (463*2π)/5471 weeks
464-2.61414 -5.56454 (464*2π)/5471 weeks
465.99148 -8.13566 (465*2π)/5471 weeks
4666.80561 -6.09079 (466*2π)/5471 weeks
4677.49346 -.37162 (467*2π)/5471 weeks
4683.48311 4.46246 (468*2π)/5471 weeks
469-4.18342 1.3736 (469*2π)/5471 weeks
470-1.27108 -5.91303 (470*2π)/5471 weeks
4712.02407 -3.76805 (471*2π)/5471 weeks
4723.96404 -4.89748 (472*2π)/5471 weeks
4736.36735 1.36105 (473*2π)/5471 weeks
474-1.32671 4.95701 (474*2π)/5471 weeks
475-6.41335 -.75267 (475*2π)/5471 weeks
476-4.09556 -8.261 (476*2π)/5471 weeks
4773.4221 -8.88453 (477*2π)/5471 weeks
4784.54554 -2.87729 (478*2π)/5471 weeks
4791.71512 -3.25684 (479*2π)/5471 weeks
4801.90552 -2.52851 (480*2π)/5471 weeks
4812.24049 -5.51242 (481*2π)/5471 weeks
4826.09008 -1.99498 (482*2π)/5471 weeks
4832.62146 2.85902 (483*2π)/5471 weeks
484-2.62429 .56179 (484*2π)/5471 weeks
485-4.23799 -3.93936 (485*2π)/5471 weeks
4861.07963 -7.23507 (486*2π)/5471 weeks
4872.75206 -2.65913 (487*2π)/5471 weeks
488-.35608 -2.66683 (488*2π)/5471 weeks
489-1.46072 -5.02932 (489*2π)/5471 weeks
490.91307 -8.53747 (490*2π)/5471 weeks
4917.9283 -7.56354 (491*2π)/5471 weeks
4927.12075 1.80559 (492*2π)/5471 weeks
493-.3581 2.06556 (493*2π)/5471 weeks
494-2.04975 -1.51076 (494*2π)/5471 weeks
495-2.64248 -4.08313 (495*2π)/5471 weeks
4961.09223 -5.11093 (496*2π)/5471 weeks
497.72785 -2.64653 (497*2π)/5471 weeks
498-1.07231 -2.57658 (498*2π)/5471 weeks
499-2.23966 -4.26235 (499*2π)/5471 weeks
500-4.20467 -6.61635 (500*2π)/5471 weeks
501.63214 -9.84805 (501*2π)/5471 weeks
5022.45507 -6.56271 (502*2π)/5471 weeks
5031.673 -7.44994 (503*2π)/5471 weeks
5042.56282 -5.96272 (504*2π)/5471 weeks
5054.30173 -7.51579 (505*2π)/5471 weeks
5066.37633 -1.18177 (506*2π)/5471 weeks
507-2.26607 .95619 (507*2π)/5471 weeks
508-7.10874 -4.38515 (508*2π)/5471 weeks
509-6.13778 -13.64801 (509*2π)/5471 weeks
5104.13846 -19.8865 (510*2π)/5471 weeks
51117.81206 -11.21345 (511*2π)/5471 weeks
51217.29624 6.9723 (512*2π)/5471 weeks
513-4.21347 18.56556 (513*2π)/5471 weeks
514-25.70657 -1.37025 (514*2π)/5471 weeks
515-15.04508 -27.51299 (515*2π)/5471 weeks
51610.70884 -28.40834 (516*2π)/5471 weeks
51723.24868 -6.19171 (517*2π)/5471 weeks
5187.47298 11.50032 (518*2π)/5471 weeks
519-11.46031 4.26938 (519*2π)/5471 weeks
520-16.29733 -10.32939 (520*2π)/5471 weeks
521-7.31681 -26.27654 (521*2π)/5471 weeks
5229.32836 -21.14787 (522*2π)/5471 weeks
52310.02754 -10.03058 (523*2π)/5471 weeks
5242.14216 -5.49739 (524*2π)/5471 weeks
525.03711 -14.40116 (525*2π)/5471 weeks
5266.62101 -11.9501 (526*2π)/5471 weeks
527.50978 -8.65155 (527*2π)/5471 weeks
528.26633 -17.09218 (528*2π)/5471 weeks
52910.54505 -14.65255 (529*2π)/5471 weeks
5303.21831 -5.12194 (530*2π)/5471 weeks
5311.20989 -9.98769 (531*2π)/5471 weeks
532-3.54579 -8.36622 (532*2π)/5471 weeks
533-11.69178 -16.21871 (533*2π)/5471 weeks
534-10.12677 -34.51976 (534*2π)/5471 weeks
53514.41926 -43.34784 (535*2π)/5471 weeks
53630.35199 -19.20337 (536*2π)/5471 weeks
53717.27284 -4.11905 (537*2π)/5471 weeks
538-.8439 8.21148 (538*2π)/5471 weeks
539-40.63466 -16.74581 (539*2π)/5471 weeks
540-15.15041 -71.31394 (540*2π)/5471 weeks
54135.90951 -64.10835 (541*2π)/5471 weeks
54243.01794 -9.77733 (542*2π)/5471 weeks
543-24.33945 22.61068 (543*2π)/5471 weeks
544-122.5973 -62.8092 (544*2π)/5471 weeks
545-94.33312 -254.798 (545*2π)/5471 weeks



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