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Fourier Analysis of SKF (PROSHARES ULTRASHORT FINANCIALS PROSHARES ULTRASHORT FINANCIALS)


SKF (PROSHARES ULTRASHORT FINANCIALS PROSHARES ULTRASHORT FINANCIALS) appears to have interesting cyclic behaviour every 47 weeks (76.4236*sine), 18 weeks (59.2772*sine), and 17 weeks (55.4337*cosine).

SKF (PROSHARES ULTRASHORT FINANCIALS PROSHARES ULTRASHORT FINANCIALS) has an average price of 478.47 (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 11/6/2017 for SKF (PROSHARES ULTRASHORT FINANCIALS PROSHARES ULTRASHORT FINANCIALS), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
0478.4749   0 
1393.7565 549.1879 (1*2π)/563563 weeks
2-10.42529 475.356 (2*2π)/563282 weeks
3-229.0958 232.9223 (3*2π)/563188 weeks
4-154.7344 -24.89628 (4*2π)/563141 weeks
519.15705 -59.41299 (5*2π)/563113 weeks
690.88557 35.62484 (6*2π)/56394 weeks
731.81101 114.0708 (7*2π)/56380 weeks
8-58.60815 73.65395 (8*2π)/56370 weeks
9-35.61282 -11.10304 (9*2π)/56363 weeks
1023.67884 -12.3412 (10*2π)/56356 weeks
1154.17337 24.03962 (11*2π)/56351 weeks
1224.74518 76.42358 (12*2π)/56347 weeks
13-32.82923 52.63164 (13*2π)/56343 weeks
14-24.64688 3.63192 (14*2π)/56340 weeks
1511.39015 -5.32774 (15*2π)/56338 weeks
1633.07516 24.05247 (16*2π)/56335 weeks
176.49862 50.64901 (17*2π)/56333 weeks
18-21.5666 34.57086 (18*2π)/56331 weeks
19-25.16119 3.35355 (19*2π)/56330 weeks
204.15003 -16.70382 (20*2π)/56328 weeks
2131.64938 2.01887 (21*2π)/56327 weeks
2226.076 31.73804 (22*2π)/56326 weeks
23-.47769 36.47635 (23*2π)/56324 weeks
24-6.48983 16.00252 (24*2π)/56323 weeks
258.844 9.11215 (25*2π)/56323 weeks
2616.3041 30.10574 (26*2π)/56322 weeks
27-12.89255 40.71302 (27*2π)/56321 weeks
28-31.63936 15.51325 (28*2π)/56320 weeks
29-19.70028 -17.60209 (29*2π)/56319 weeks
3023.70043 -23.06554 (30*2π)/56319 weeks
3147.00492 19.10454 (31*2π)/56318 weeks
3215.77627 59.27715 (32*2π)/56318 weeks
33-36.7324 52.01505 (33*2π)/56317 weeks
34-55.43374 -1.24029 (34*2π)/56317 weeks
35-15.45528 -39.67149 (35*2π)/56316 weeks
3628.50155 -23.62639 (36*2π)/56316 weeks
3735.27227 14.77774 (37*2π)/56315 weeks
387.65559 34.92213 (38*2π)/56315 weeks
39-15.58651 20.05992 (39*2π)/56314 weeks
40-11.93155 -1.87837 (40*2π)/56314 weeks
415.53103 -6.44892 (41*2π)/56314 weeks
4217.54512 7.44991 (42*2π)/56313 weeks
434.28447 23.52726 (43*2π)/56313 weeks
44-11.63645 12.88784 (44*2π)/56313 weeks
45-8.13148 -.64906 (45*2π)/56313 weeks
465.4826 -6.11275 (46*2π)/56312 weeks
4715.73471 6.60334 (47*2π)/56312 weeks
487.78619 19.11172 (48*2π)/56312 weeks
49-3.79244 19.84987 (49*2π)/56311 weeks
50-13.04931 9.10797 (50*2π)/56311 weeks
51-7.70751 -1.36639 (51*2π)/56311 weeks
521.09927 -2.32473 (52*2π)/56311 weeks
533.97938 3.34985 (53*2π)/56311 weeks
54.98943 4.79066 (54*2π)/56310 weeks
55.54754 1.10342 (55*2π)/56310 weeks
565.06646 .41625 (56*2π)/56310 weeks
578.16687 5.70851 (57*2π)/56310 weeks
581.86431 11.0912 (58*2π)/56310 weeks
59-3.27476 4.55139 (59*2π)/56310 weeks
602.98549 -2.04289 (60*2π)/5639 weeks
6111.93192 3.73197 (61*2π)/5639 weeks
6210.16491 16.34466 (62*2π)/5639 weeks
63-6.74513 21.96195 (63*2π)/5639 weeks
64-19.63972 5.16903 (64*2π)/5639 weeks
65-11.4304 -12.25519 (65*2π)/5639 weeks
667.96445 -16.58963 (66*2π)/5639 weeks
6721.0147 -.68568 (67*2π)/5638 weeks
6811.24588 15.03459 (68*2π)/5638 weeks
69-.49907 11.6661 (69*2π)/5638 weeks
70-2.73825 2.42472 (70*2π)/5638 weeks
717.79884 -1.35175 (71*2π)/5638 weeks
7212.78289 11.38361 (72*2π)/5638 weeks
73.48553 19.95336 (73*2π)/5638 weeks
74-13.21566 12.55467 (74*2π)/5638 weeks
75-14.7122 -4.70484 (75*2π)/5638 weeks
762.85482 -13.4322 (76*2π)/5637 weeks
7715.4247 -1.20389 (77*2π)/5637 weeks
7812.36828 12.9653 (78*2π)/5637 weeks
79-3.67704 20.82398 (79*2π)/5637 weeks
80-19.94823 4.03801 (80*2π)/5637 weeks
81-7.93865 -16.83728 (81*2π)/5637 weeks
8213.62009 -15.46954 (82*2π)/5637 weeks
8324.83864 4.09163 (83*2π)/5637 weeks
8410.93595 22.99226 (84*2π)/5637 weeks
85-9.3665 19.10309 (85*2π)/5637 weeks
86-17.89341 1.97633 (86*2π)/5637 weeks
87-5.9645 -15.79119 (87*2π)/5636 weeks
8813.58162 -11.47732 (88*2π)/5636 weeks
8917.98969 3.61582 (89*2π)/5636 weeks
909.67489 14.3027 (90*2π)/5636 weeks
91-.81878 12.49783 (91*2π)/5636 weeks
92-2.86618 5.51159 (92*2π)/5636 weeks
93.30895 3.04642 (93*2π)/5636 weeks
94.97785 4.92373 (94*2π)/5636 weeks
95-2.04866 4.95105 (95*2π)/5636 weeks
96-3.04123 -.05279 (96*2π)/5636 weeks
973.00416 -1.66885 (97*2π)/5636 weeks
984.4298 3.46673 (98*2π)/5636 weeks
991.51981 5.78001 (99*2π)/5636 weeks
100-3.17587 3.46964 (100*2π)/5636 weeks
101-1.70022 -2.95089 (101*2π)/5636 weeks
1025.15558 -3.45393 (102*2π)/5636 weeks
1038.35772 2.65129 (103*2π)/5635 weeks
1043.49607 9.3398 (104*2π)/5635 weeks
105-5.44459 6.21668 (105*2π)/5635 weeks
106-6.29022 -4.55496 (106*2π)/5635 weeks
1073.63417 -10.69299 (107*2π)/5635 weeks
10815.69104 -4.65153 (108*2π)/5635 weeks
10914.97103 9.73381 (109*2π)/5635 weeks
1103.26084 16.54346 (110*2π)/5635 weeks
111-9.74633 9.34659 (111*2π)/5635 weeks
112-7.85302 -6.64173 (112*2π)/5635 weeks
1137.08514 -11.1835 (113*2π)/5635 weeks
11417.88682 .48171 (114*2π)/5635 weeks
11512.47051 15.5345 (115*2π)/5635 weeks
116-2.69554 18.56482 (116*2π)/5635 weeks
117-14.38049 7.30887 (117*2π)/5635 weeks
118-9.38082 -9.26848 (118*2π)/5635 weeks
1196.72262 -11.64226 (119*2π)/5635 weeks
12014.85921 .43088 (120*2π)/5635 weeks
1219.52696 12.36003 (121*2π)/5635 weeks
122-3.79643 13.96552 (122*2π)/5635 weeks
123-11.28281 1.89291 (123*2π)/5635 weeks
124-4.27075 -10.22912 (124*2π)/5635 weeks
1259.22642 -9.5186 (125*2π)/5635 weeks
12615.59795 1.84074 (126*2π)/5634 weeks
1278.78005 12.30636 (127*2π)/5634 weeks
128-1.52387 11.80894 (128*2π)/5634 weeks
129-6.1538 3.75509 (129*2π)/5634 weeks
130-2.17634 -2.44531 (130*2π)/5634 weeks
1312.75438 -2.40789 (131*2π)/5634 weeks
1325.19378 .36189 (132*2π)/5634 weeks
1334.5921 3.48964 (133*2π)/5634 weeks
1341.28499 4.24118 (134*2π)/5634 weeks
135-.21848 .47058 (135*2π)/5634 weeks
1363.64498 -2.2903 (136*2π)/5634 weeks
1377.82763 .04188 (137*2π)/5634 weeks
1389.14244 5.41371 (138*2π)/5634 weeks
1395.41145 11.71466 (139*2π)/5634 weeks
140-3.6704 11.50892 (140*2π)/5634 weeks
141-8.14952 4.10269 (141*2π)/5634 weeks
142-6.11124 -3.40982 (142*2π)/5634 weeks
1431.29079 -6.79967 (143*2π)/5634 weeks
1447.53752 -2.07921 (144*2π)/5634 weeks
1457.35519 4.05197 (145*2π)/5634 weeks
1461.40256 7.96362 (146*2π)/5634 weeks
147-4.73284 1.98651 (147*2π)/5634 weeks
148.13866 -5.71408 (148*2π)/5634 weeks
1498.71506 -2.98746 (149*2π)/5634 weeks
15010.2414 6.01338 (150*2π)/5634 weeks
1512.30571 12.15619 (151*2π)/5634 weeks
152-6.96515 6.94902 (152*2π)/5634 weeks
153-6.72313 -2.44858 (153*2π)/5634 weeks
154.98029 -7.44524 (154*2π)/5634 weeks
1559.11911 -2.48766 (155*2π)/5634 weeks
1567.08611 5.64512 (156*2π)/5634 weeks
157.64764 6.43016 (157*2π)/5634 weeks
158-2.18145 1.60878 (158*2π)/5634 weeks
1591.40078 -2.19422 (159*2π)/5634 weeks
1605.54566 .0195 (160*2π)/5634 weeks
1615.30741 4.57865 (161*2π)/5633 weeks
1621.39852 7.12288 (162*2π)/5633 weeks
163-3.98849 4.09827 (163*2π)/5633 weeks
164-2.57124 -1.47493 (164*2π)/5633 weeks
165.6503 -2.52875 (165*2π)/5633 weeks
1662.77207 -2.45727 (166*2π)/5633 weeks
1675.08446 -1.58523 (167*2π)/5633 weeks
1687.27251 .92493 (168*2π)/5633 weeks
1696.3851 5.32183 (169*2π)/5633 weeks
1702.27023 8.28915 (170*2π)/5633 weeks
171-4.27993 6.0274 (171*2π)/5633 weeks
172-5.28561 -1.19105 (172*2π)/5633 weeks
173.49127 -5.89172 (173*2π)/5633 weeks
1747.76391 -2.67065 (174*2π)/5633 weeks
1757.37286 5.2341 (175*2π)/5633 weeks
176-.08258 8.25708 (176*2π)/5633 weeks
177-5.88551 2.05559 (177*2π)/5633 weeks
178-3.38457 -5.87289 (178*2π)/5633 weeks
1795.95604 -8.3112 (179*2π)/5633 weeks
18012.74675 -.35605 (180*2π)/5633 weeks
1819.80655 9.46051 (181*2π)/5633 weeks
182-.68288 13.03363 (182*2π)/5633 weeks
183-9.74927 4.95482 (183*2π)/5633 weeks
184-6.89247 -6.49005 (184*2π)/5633 weeks
1853.39474 -10.08852 (185*2π)/5633 weeks
18612.28406 -3.32452 (186*2π)/5633 weeks
1879.92407 7.49002 (187*2π)/5633 weeks
188.89343 9.53529 (188*2π)/5633 weeks
189-4.74238 3.34126 (189*2π)/5633 weeks
190-.95917 -3.57701 (190*2π)/5633 weeks
1915.68038 -1.92722 (191*2π)/5633 weeks
1926.70601 4.42082 (192*2π)/5633 weeks
193.64258 8.40251 (193*2π)/5633 weeks
194-6.17351 3.45987 (194*2π)/5633 weeks
195-3.88779 -4.15905 (195*2π)/5633 weeks
1962.36121 -5.98781 (196*2π)/5633 weeks
1977.35713 -2.21302 (197*2π)/5633 weeks
1985.70251 2.88864 (198*2π)/5633 weeks
1993.29139 3.10657 (199*2π)/5633 weeks
2001.67882 3.34693 (200*2π)/5633 weeks
2011.06884 .7088 (201*2π)/5633 weeks
2023.29837 1.11123 (202*2π)/5633 weeks
2033.15198 2.60549 (203*2π)/5633 weeks
2042.21925 3.89525 (204*2π)/5633 weeks
205-.18628 3.85607 (205*2π)/5633 weeks
206-.02273 2.32063 (206*2π)/5633 weeks
207-1.74723 3.35941 (207*2π)/5633 weeks
208-3.74493 -.49523 (208*2π)/5633 weeks
209-1.90199 -3.71254 (209*2π)/5633 weeks
2102.13399 -6.35102 (210*2π)/5633 weeks
2118.33615 -3.01695 (211*2π)/5633 weeks
2127.17963 4.68138 (212*2π)/5633 weeks
213.11934 5.82365 (213*2π)/5633 weeks
214-3.51212 -.25833 (214*2π)/5633 weeks
2151.91296 -6.33186 (215*2π)/5633 weeks
21610.44075 -2.36709 (216*2π)/5633 weeks
2179.84555 7.52015 (217*2π)/5633 weeks
218.67552 12.22931 (218*2π)/5633 weeks
219-9.19076 6.38628 (219*2π)/5633 weeks
220-7.59954 -5.91362 (220*2π)/5633 weeks
2213.24009 -8.99673 (221*2π)/5633 weeks
2229.6474 -1.09762 (222*2π)/5633 weeks
2234.58603 6.80971 (223*2π)/5633 weeks
224-3.56289 3.79974 (224*2π)/5633 weeks
225-2.29264 -4.66775 (225*2π)/5633 weeks
2266.51107 -5.5449 (226*2π)/5632 weeks
22710.5705 2.71751 (227*2π)/5632 weeks
2285.03372 10.95868 (228*2π)/5632 weeks
229-6.6576 9.61122 (229*2π)/5632 weeks
230-10.18965 -2.66185 (230*2π)/5632 weeks
231-1.03556 -10.19033 (231*2π)/5632 weeks
2329.05453 -6.83642 (232*2π)/5632 weeks
23310.95105 4.13502 (233*2π)/5632 weeks
2341.75974 9.41002 (234*2π)/5632 weeks
235-5.24245 4.30999 (235*2π)/5632 weeks
236-4.31331 -3.7501 (236*2π)/5632 weeks
2373.44884 -5.8485 (237*2π)/5632 weeks
2387.03865 .25077 (238*2π)/5632 weeks
2393.55056 5.19499 (239*2π)/5632 weeks
240-2.50501 4.36882 (240*2π)/5632 weeks
241-4.35208 -2.07437 (241*2π)/5632 weeks
2421.20717 -6.21928 (242*2π)/5632 weeks
2436.49757 -2.39143 (243*2π)/5632 weeks
2445.42439 2.04736 (244*2π)/5632 weeks
2451.78902 4.1855 (245*2π)/5632 weeks
246-.90326 .56403 (246*2π)/5632 weeks
2471.43104 -1.01337 (247*2π)/5632 weeks
2483.12855 -.20967 (248*2π)/5632 weeks
2492.59149 2.79972 (249*2π)/5632 weeks
250-1.18388 1.86429 (250*2π)/5632 weeks
251-.71693 -1.42288 (251*2π)/5632 weeks
2521.38992 -1.87265 (252*2π)/5632 weeks
2532.4051 -.61673 (253*2π)/5632 weeks
254.92056 .86084 (254*2π)/5632 weeks
255-.61871 -2.41622 (255*2π)/5632 weeks
2563.46809 -4.94093 (256*2π)/5632 weeks
2578.13206 -1.4403 (257*2π)/5632 weeks
2587.79021 5.45476 (258*2π)/5632 weeks
259-.11507 9.58066 (259*2π)/5632 weeks
260-9.21916 3.85355 (260*2π)/5632 weeks
261-8.05796 -8.56083 (261*2π)/5632 weeks
2624.55839 -14.62202 (262*2π)/5632 weeks
26317.06623 -4.44195 (263*2π)/5632 weeks
26412.62978 11.13715 (264*2π)/5632 weeks
265-2.08846 14.71078 (265*2π)/5632 weeks
266-13.35807 4.32111 (266*2π)/5632 weeks
267-9.12548 -11.25709 (267*2π)/5632 weeks
2686.27209 -14.08056 (268*2π)/5632 weeks
26914.74889 -1.89363 (269*2π)/5632 weeks
2707.29924 8.7892 (270*2π)/5632 weeks
271-3.87288 6.71592 (271*2π)/5632 weeks
272-5.87187 -3.61154 (272*2π)/5632 weeks
2732.37605 -8.59851 (273*2π)/5632 weeks
27410.30816 -3.94617 (274*2π)/5632 weeks
2759.13304 6.12781 (275*2π)/5632 weeks
276-1.25054 8.2826 (276*2π)/5632 weeks
277-6.08272 .32482 (277*2π)/5632 weeks
278-2.05108 -6.1674 (278*2π)/5632 weeks
2794.64239 -6.25426 (279*2π)/5632 weeks
2806.33807 -1.8322 (280*2π)/5632 weeks
2815.4878 -.48207 (281*2π)/5632 weeks
2825.4878 .48207 (282*2π)/5632 weeks
2836.33807 1.8322 (283*2π)/5632 weeks
2844.64239 6.25426 (284*2π)/5632 weeks
285-2.05108 6.1674 (285*2π)/5632 weeks
286-6.08272 -.32482 (286*2π)/5632 weeks
287-1.25054 -8.2826 (287*2π)/5632 weeks
2889.13304 -6.12781 (288*2π)/5632 weeks
28910.30816 3.94617 (289*2π)/5632 weeks
2902.37605 8.59851 (290*2π)/5632 weeks
291-5.87187 3.61154 (291*2π)/5632 weeks
292-3.87288 -6.71592 (292*2π)/5632 weeks
2937.29924 -8.7892 (293*2π)/5632 weeks
29414.74889 1.89363 (294*2π)/5632 weeks
2956.27209 14.08056 (295*2π)/5632 weeks
296-9.12548 11.25709 (296*2π)/5632 weeks
297-13.35807 -4.32111 (297*2π)/5632 weeks
298-2.08846 -14.71078 (298*2π)/5632 weeks
29912.62978 -11.13715 (299*2π)/5632 weeks
30017.06623 4.44195 (300*2π)/5632 weeks
3014.55839 14.62202 (301*2π)/5632 weeks
302-8.05796 8.56083 (302*2π)/5632 weeks
303-9.21916 -3.85355 (303*2π)/5632 weeks
304-.11507 -9.58066 (304*2π)/5632 weeks
3057.79021 -5.45476 (305*2π)/5632 weeks
3068.13206 1.4403 (306*2π)/5632 weeks
3073.46809 4.94093 (307*2π)/5632 weeks
308-.61871 2.41622 (308*2π)/5632 weeks
309.92056 -.86084 (309*2π)/5632 weeks
3102.4051 .61673 (310*2π)/5632 weeks
3111.38992 1.87265 (311*2π)/5632 weeks
312-.71693 1.42288 (312*2π)/5632 weeks
313-1.18388 -1.86429 (313*2π)/5632 weeks
3142.59149 -2.79972 (314*2π)/5632 weeks
3153.12855 .20967 (315*2π)/5632 weeks
3161.43104 1.01337 (316*2π)/5632 weeks
317-.90326 -.56403 (317*2π)/5632 weeks
3181.78902 -4.1855 (318*2π)/5632 weeks
3195.42439 -2.04736 (319*2π)/5632 weeks
3206.49757 2.39143 (320*2π)/5632 weeks
3211.20717 6.21928 (321*2π)/5632 weeks
322-4.35208 2.07437 (322*2π)/5632 weeks
323-2.50501 -4.36882 (323*2π)/5632 weeks
3243.55056 -5.19499 (324*2π)/5632 weeks
3257.03865 -.25077 (325*2π)/5632 weeks
3263.44884 5.8485 (326*2π)/5632 weeks
327-4.31331 3.7501 (327*2π)/5632 weeks
328-5.24245 -4.30999 (328*2π)/5632 weeks
3291.75974 -9.41002 (329*2π)/5632 weeks
33010.95105 -4.13502 (330*2π)/5632 weeks
3319.05453 6.83642 (331*2π)/5632 weeks
332-1.03556 10.19033 (332*2π)/5632 weeks
333-10.18965 2.66185 (333*2π)/5632 weeks
334-6.6576 -9.61122 (334*2π)/5632 weeks
3355.03372 -10.95868 (335*2π)/5632 weeks
33610.5705 -2.71751 (336*2π)/5632 weeks
3376.51107 5.5449 (337*2π)/5632 weeks
338-2.29264 4.66775 (338*2π)/5632 weeks
339-3.56289 -3.79974 (339*2π)/5632 weeks
3404.58603 -6.80971 (340*2π)/5632 weeks
3419.6474 1.09762 (341*2π)/5632 weeks
3423.24009 8.99673 (342*2π)/5632 weeks
343-7.59954 5.91362 (343*2π)/5632 weeks
344-9.19076 -6.38628 (344*2π)/5632 weeks
345.67552 -12.22931 (345*2π)/5632 weeks
3469.84555 -7.52015 (346*2π)/5632 weeks
34710.44075 2.36709 (347*2π)/5632 weeks
3481.91296 6.33186 (348*2π)/5632 weeks
349-3.51212 .25833 (349*2π)/5632 weeks
350.11934 -5.82365 (350*2π)/5632 weeks
3517.17963 -4.68138 (351*2π)/5632 weeks
3528.33615 3.01695 (352*2π)/5632 weeks
3532.13399 6.35102 (353*2π)/5632 weeks
354-1.90199 3.71254 (354*2π)/5632 weeks
355-3.74493 .49523 (355*2π)/5632 weeks
356-1.74723 -3.35941 (356*2π)/5632 weeks
357-.02273 -2.32063 (357*2π)/5632 weeks
358-.18628 -3.85607 (358*2π)/5632 weeks
3592.21925 -3.89525 (359*2π)/5632 weeks
3603.15198 -2.60549 (360*2π)/5632 weeks
3613.29837 -1.11123 (361*2π)/5632 weeks
3621.06884 -.7088 (362*2π)/5632 weeks
3631.67882 -3.34693 (363*2π)/5632 weeks
3643.29139 -3.10657 (364*2π)/5632 weeks
3655.70251 -2.88864 (365*2π)/5632 weeks
3667.35713 2.21302 (366*2π)/5632 weeks
3672.36121 5.98781 (367*2π)/5632 weeks
368-3.88779 4.15905 (368*2π)/5632 weeks
369-6.17351 -3.45987 (369*2π)/5632 weeks
370.64258 -8.40251 (370*2π)/5632 weeks
3716.70601 -4.42082 (371*2π)/5632 weeks
3725.68038 1.92722 (372*2π)/5632 weeks
373-.95917 3.57701 (373*2π)/5632 weeks
374-4.74238 -3.34126 (374*2π)/5632 weeks
375.89343 -9.53529 (375*2π)/5632 weeks
3769.92407 -7.49002 (376*2π)/5631 weeks
37712.28406 3.32452 (377*2π)/5631 weeks
3783.39474 10.08852 (378*2π)/5631 weeks
379-6.89247 6.49005 (379*2π)/5631 weeks
380-9.74927 -4.95482 (380*2π)/5631 weeks
381-.68288 -13.03363 (381*2π)/5631 weeks
3829.80655 -9.46051 (382*2π)/5631 weeks
38312.74675 .35605 (383*2π)/5631 weeks
3845.95604 8.3112 (384*2π)/5631 weeks
385-3.38457 5.87289 (385*2π)/5631 weeks
386-5.88551 -2.05559 (386*2π)/5631 weeks
387-.08258 -8.25708 (387*2π)/5631 weeks
3887.37286 -5.2341 (388*2π)/5631 weeks
3897.76391 2.67065 (389*2π)/5631 weeks
390.49127 5.89172 (390*2π)/5631 weeks
391-5.28561 1.19105 (391*2π)/5631 weeks
392-4.27993 -6.0274 (392*2π)/5631 weeks
3932.27023 -8.28915 (393*2π)/5631 weeks
3946.3851 -5.32183 (394*2π)/5631 weeks
3957.27251 -.92493 (395*2π)/5631 weeks
3965.08446 1.58523 (396*2π)/5631 weeks
3972.77207 2.45727 (397*2π)/5631 weeks
398.6503 2.52875 (398*2π)/5631 weeks
399-2.57124 1.47493 (399*2π)/5631 weeks
400-3.98849 -4.09827 (400*2π)/5631 weeks
4011.39852 -7.12288 (401*2π)/5631 weeks
4025.30741 -4.57865 (402*2π)/5631 weeks
4035.54566 -.0195 (403*2π)/5631 weeks
4041.40078 2.19422 (404*2π)/5631 weeks
405-2.18145 -1.60878 (405*2π)/5631 weeks
406.64764 -6.43016 (406*2π)/5631 weeks
4077.08611 -5.64512 (407*2π)/5631 weeks
4089.11911 2.48766 (408*2π)/5631 weeks
409.98029 7.44524 (409*2π)/5631 weeks
410-6.72313 2.44858 (410*2π)/5631 weeks
411-6.96515 -6.94902 (411*2π)/5631 weeks
4122.30571 -12.15619 (412*2π)/5631 weeks
41310.2414 -6.01338 (413*2π)/5631 weeks
4148.71506 2.98746 (414*2π)/5631 weeks
415.13866 5.71408 (415*2π)/5631 weeks
416-4.73284 -1.98651 (416*2π)/5631 weeks
4171.40256 -7.96362 (417*2π)/5631 weeks
4187.35519 -4.05197 (418*2π)/5631 weeks
4197.53752 2.07921 (419*2π)/5631 weeks
4201.29079 6.79967 (420*2π)/5631 weeks
421-6.11124 3.40982 (421*2π)/5631 weeks
422-8.14952 -4.10269 (422*2π)/5631 weeks
423-3.6704 -11.50892 (423*2π)/5631 weeks
4245.41145 -11.71466 (424*2π)/5631 weeks
4259.14244 -5.41371 (425*2π)/5631 weeks
4267.82763 -.04188 (426*2π)/5631 weeks
4273.64498 2.2903 (427*2π)/5631 weeks
428-.21848 -.47058 (428*2π)/5631 weeks
4291.28499 -4.24118 (429*2π)/5631 weeks
4304.5921 -3.48964 (430*2π)/5631 weeks
4315.19378 -.36189 (431*2π)/5631 weeks
4322.75438 2.40789 (432*2π)/5631 weeks
433-2.17634 2.44531 (433*2π)/5631 weeks
434-6.1538 -3.75509 (434*2π)/5631 weeks
435-1.52387 -11.80894 (435*2π)/5631 weeks
4368.78005 -12.30636 (436*2π)/5631 weeks
43715.59795 -1.84074 (437*2π)/5631 weeks
4389.22642 9.5186 (438*2π)/5631 weeks
439-4.27075 10.22912 (439*2π)/5631 weeks
440-11.28281 -1.89291 (440*2π)/5631 weeks
441-3.79643 -13.96552 (441*2π)/5631 weeks
4429.52696 -12.36003 (442*2π)/5631 weeks
44314.85921 -.43088 (443*2π)/5631 weeks
4446.72262 11.64226 (444*2π)/5631 weeks
445-9.38082 9.26848 (445*2π)/5631 weeks
446-14.38049 -7.30887 (446*2π)/5631 weeks
447-2.69554 -18.56482 (447*2π)/5631 weeks
44812.47051 -15.5345 (448*2π)/5631 weeks
44917.88682 -.48171 (449*2π)/5631 weeks
4507.08514 11.1835 (450*2π)/5631 weeks
451-7.85302 6.64173 (451*2π)/5631 weeks
452-9.74633 -9.34659 (452*2π)/5631 weeks
4533.26084 -16.54346 (453*2π)/5631 weeks
45414.97103 -9.73381 (454*2π)/5631 weeks
45515.69104 4.65153 (455*2π)/5631 weeks
4563.63417 10.69299 (456*2π)/5631 weeks
457-6.29022 4.55496 (457*2π)/5631 weeks
458-5.44459 -6.21668 (458*2π)/5631 weeks
4593.49607 -9.3398 (459*2π)/5631 weeks
4608.35772 -2.65129 (460*2π)/5631 weeks
4615.15558 3.45393 (461*2π)/5631 weeks
462-1.70022 2.95089 (462*2π)/5631 weeks
463-3.17587 -3.46964 (463*2π)/5631 weeks
4641.51981 -5.78001 (464*2π)/5631 weeks
4654.4298 -3.46673 (465*2π)/5631 weeks
4663.00416 1.66885 (466*2π)/5631 weeks
467-3.04123 .05279 (467*2π)/5631 weeks
468-2.04866 -4.95105 (468*2π)/5631 weeks
469.97785 -4.92373 (469*2π)/5631 weeks
470.30895 -3.04642 (470*2π)/5631 weeks
471-2.86618 -5.51159 (471*2π)/5631 weeks
472-.81878 -12.49783 (472*2π)/5631 weeks
4739.67489 -14.3027 (473*2π)/5631 weeks
47417.98969 -3.61582 (474*2π)/5631 weeks
47513.58162 11.47732 (475*2π)/5631 weeks
476-5.9645 15.79119 (476*2π)/5631 weeks
477-17.89341 -1.97633 (477*2π)/5631 weeks
478-9.3665 -19.10309 (478*2π)/5631 weeks
47910.93595 -22.99226 (479*2π)/5631 weeks
48024.83864 -4.09163 (480*2π)/5631 weeks
48113.62009 15.46954 (481*2π)/5631 weeks
482-7.93865 16.83728 (482*2π)/5631 weeks
483-19.94823 -4.03801 (483*2π)/5631 weeks
484-3.67704 -20.82398 (484*2π)/5631 weeks
48512.36828 -12.9653 (485*2π)/5631 weeks
48615.4247 1.20389 (486*2π)/5631 weeks
4872.85482 13.4322 (487*2π)/5631 weeks
488-14.7122 4.70484 (488*2π)/5631 weeks
489-13.21566 -12.55467 (489*2π)/5631 weeks
490.48553 -19.95336 (490*2π)/5631 weeks
49112.78289 -11.38361 (491*2π)/5631 weeks
4927.79884 1.35175 (492*2π)/5631 weeks
493-2.73825 -2.42472 (493*2π)/5631 weeks
494-.49907 -11.6661 (494*2π)/5631 weeks
49511.24588 -15.03459 (495*2π)/5631 weeks
49621.0147 .68568 (496*2π)/5631 weeks
4977.96445 16.58963 (497*2π)/5631 weeks
498-11.4304 12.25519 (498*2π)/5631 weeks
499-19.63972 -5.16903 (499*2π)/5631 weeks
500-6.74513 -21.96195 (500*2π)/5631 weeks
50110.16491 -16.34466 (501*2π)/5631 weeks
50211.93192 -3.73197 (502*2π)/5631 weeks
5032.98549 2.04289 (503*2π)/5631 weeks
504-3.27476 -4.55139 (504*2π)/5631 weeks
5051.86431 -11.0912 (505*2π)/5631 weeks
5068.16687 -5.70851 (506*2π)/5631 weeks
5075.06646 -.41625 (507*2π)/5631 weeks
508.54754 -1.10342 (508*2π)/5631 weeks
509.98943 -4.79066 (509*2π)/5631 weeks
5103.97938 -3.34985 (510*2π)/5631 weeks
5111.09927 2.32473 (511*2π)/5631 weeks
512-7.70751 1.36639 (512*2π)/5631 weeks
513-13.04931 -9.10797 (513*2π)/5631 weeks
514-3.79244 -19.84987 (514*2π)/5631 weeks
5157.78619 -19.11172 (515*2π)/5631 weeks
51615.73471 -6.60334 (516*2π)/5631 weeks
5175.4826 6.11275 (517*2π)/5631 weeks
518-8.13148 .64906 (518*2π)/5631 weeks
519-11.63645 -12.88784 (519*2π)/5631 weeks
5204.28447 -23.52726 (520*2π)/5631 weeks
52117.54512 -7.44991 (521*2π)/5631 weeks
5225.53103 6.44892 (522*2π)/5631 weeks
523-11.93155 1.87837 (523*2π)/5631 weeks
524-15.58651 -20.05992 (524*2π)/5631 weeks
5257.65559 -34.92213 (525*2π)/5631 weeks
52635.27227 -14.77774 (526*2π)/5631 weeks
52728.50155 23.62639 (527*2π)/5631 weeks
528-15.45528 39.67149 (528*2π)/5631 weeks
529-55.43374 1.24029 (529*2π)/5631 weeks
530-36.7324 -52.01505 (530*2π)/5631 weeks
53115.77627 -59.27715 (531*2π)/5631 weeks
53247.00492 -19.10454 (532*2π)/5631 weeks
53323.70043 23.06554 (533*2π)/5631 weeks
534-19.70028 17.60209 (534*2π)/5631 weeks
535-31.63936 -15.51325 (535*2π)/5631 weeks
536-12.89255 -40.71302 (536*2π)/5631 weeks
53716.3041 -30.10574 (537*2π)/5631 weeks
5388.844 -9.11215 (538*2π)/5631 weeks
539-6.48983 -16.00252 (539*2π)/5631 weeks
540-.47769 -36.47635 (540*2π)/5631 weeks
54126.076 -31.73804 (541*2π)/5631 weeks
54231.64938 -2.01887 (542*2π)/5631 weeks
5434.15003 16.70382 (543*2π)/5631 weeks
544-25.16119 -3.35355 (544*2π)/5631 weeks
545-21.5666 -34.57086 (545*2π)/5631 weeks
5466.49862 -50.64901 (546*2π)/5631 weeks
54733.07516 -24.05247 (547*2π)/5631 weeks
54811.39015 5.32774 (548*2π)/5631 weeks
549-24.64688 -3.63192 (549*2π)/5631 weeks
550-32.82923 -52.63164 (550*2π)/5631 weeks
55124.74518 -76.42358 (551*2π)/5631 weeks
55254.17337 -24.03962 (552*2π)/5631 weeks
55323.67884 12.3412 (553*2π)/5631 weeks
554-35.61282 11.10304 (554*2π)/5631 weeks
555-58.60815 -73.65395 (555*2π)/5631 weeks
55631.81101 -114.0708 (556*2π)/5631 weeks
55790.88557 -35.62484 (557*2π)/5631 weeks
55819.15705 59.41299 (558*2π)/5631 weeks
559-154.7344 24.89628 (559*2π)/5631 weeks
560-229.0958 -232.9223 (560*2π)/5631 weeks
561-10.42529 -475.356 (561*2π)/5631 weeks



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