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Fourier Analysis of KEG (Key Energy Services Inc)


KEG (Key Energy Services Inc) appears to have interesting cyclic behaviour every 61 weeks (187.0622*sine), 48 weeks (144.3572*sine), and 51 weeks (121.1556*cosine).

KEG (Key Energy Services Inc) has an average price of 1,861.19 (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 1/3/2000 to 7/17/2017 for KEG (Key Energy Services Inc), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
01,861.185   0 
1-808.314 510.557 (1*2π)/916916 weeks
2-264.7663 214.8337 (2*2π)/916458 weeks
3292.2212 539.8549 (3*2π)/916305 weeks
4-200.6807 -26.14072 (4*2π)/916229 weeks
5122.1518 394.7502 (5*2π)/916183 weeks
689.69003 -47.13699 (6*2π)/916153 weeks
7-81.2411 56.43343 (7*2π)/916131 weeks
8-137.5801 35.72504 (8*2π)/916115 weeks
958.8978 173.8487 (9*2π)/916102 weeks
106.19743 -32.26486 (10*2π)/91692 weeks
113.57001 115.6708 (11*2π)/91683 weeks
1260.07304 -78.34489 (12*2π)/91676 weeks
13-68.3194 109.3609 (13*2π)/91670 weeks
1473.30654 -67.46748 (14*2π)/91665 weeks
15-20.77196 187.0622 (15*2π)/91661 weeks
1667.20047 23.58812 (16*2π)/91657 weeks
1794.73161 103.5648 (17*2π)/91654 weeks
18-121.1556 8.6946 (18*2π)/91651 weeks
19-27.8674 144.3572 (19*2π)/91648 weeks
20-43.6085 -82.16242 (20*2π)/91646 weeks
21-44.2835 29.76062 (21*2π)/91644 weeks
2212.77013 51.96431 (22*2π)/91642 weeks
2336.9166 56.00193 (23*2π)/91640 weeks
24-27.19965 -71.10314 (24*2π)/91638 weeks
2526.97038 64.83721 (25*2π)/91637 weeks
26.74045 19.27453 (26*2π)/91635 weeks
27-21.76806 19.44683 (27*2π)/91634 weeks
28-22.29984 29.24638 (28*2π)/91633 weeks
2958.96959 21.3564 (29*2π)/91632 weeks
30-32.63399 -10.93539 (30*2π)/91631 weeks
3123.27156 93.1146 (31*2π)/91630 weeks
32-17.02581 35.01066 (32*2π)/91629 weeks
33-2.56067 -28.24131 (33*2π)/91628 weeks
34-48.63367 33.72527 (34*2π)/91627 weeks
351.85594 14.7578 (35*2π)/91626 weeks
36-9.33947 .71463 (36*2π)/91625 weeks
374.4007 -.84109 (37*2π)/91625 weeks
3813.89343 22.39937 (38*2π)/91624 weeks
39-17.04493 39.93119 (39*2π)/91623 weeks
40-7.55231 3.40454 (40*2π)/91623 weeks
41-.54531 7.18373 (41*2π)/91622 weeks
42-40.66973 16.97638 (42*2π)/91622 weeks
4329.89876 12.87053 (43*2π)/91621 weeks
44-13.46815 -25.89657 (44*2π)/91621 weeks
45-10.54606 -2.49018 (45*2π)/91620 weeks
46-13.53238 20.61906 (46*2π)/91620 weeks
4747.96004 -11.67527 (47*2π)/91619 weeks
48-25.25572 12.34272 (48*2π)/91619 weeks
4913.70291 25.28069 (49*2π)/91619 weeks
5023.50112 -20.21525 (50*2π)/91618 weeks
51-3.69595 29.09746 (51*2π)/91618 weeks
5219.49819 13.92573 (52*2π)/91618 weeks
537.99966 30.07022 (53*2π)/91617 weeks
54-26.93415 -1.03964 (54*2π)/91617 weeks
558.43611 46.186 (55*2π)/91617 weeks
561.07405 9.22866 (56*2π)/91616 weeks
57-23.73851 18.88663 (57*2π)/91616 weeks
58-2.222 6.04773 (58*2π)/91616 weeks
59-7.33894 3.30081 (59*2π)/91616 weeks
60-42.89959 -9.75372 (60*2π)/91615 weeks
6114.45689 2.53732 (61*2π)/91615 weeks
625.56163 2.84622 (62*2π)/91615 weeks
63-2.41617 -1.70178 (63*2π)/91615 weeks
649.59362 16.58794 (64*2π)/91614 weeks
65.36183 -11.56322 (65*2π)/91614 weeks
66.67172 -.99204 (66*2π)/91614 weeks
676.39119 38.42571 (67*2π)/91614 weeks
68-2.85982 -1.95306 (68*2π)/91613 weeks
69-6.5359 19.65734 (69*2π)/91613 weeks
70-19.57686 -8.66588 (70*2π)/91613 weeks
71-6.14753 -2.8584 (71*2π)/91613 weeks
723.58402 -8.47518 (72*2π)/91613 weeks
735.12582 4.40959 (73*2π)/91613 weeks
74-9.17049 -6.52117 (74*2π)/91612 weeks
7525.01038 -1.8742 (75*2π)/91612 weeks
76-5.81656 -2.96519 (76*2π)/91612 weeks
7714.1392 -2.65202 (77*2π)/91612 weeks
78-1.39791 15.42191 (78*2π)/91612 weeks
7922.97794 4.64305 (79*2π)/91612 weeks
802.82759 4.91911 (80*2π)/91611 weeks
8110.11382 4.78157 (81*2π)/91611 weeks
822.87479 6.24975 (82*2π)/91611 weeks
83-2.62682 .75756 (83*2π)/91611 weeks
84-1.58176 16.98703 (84*2π)/91611 weeks
8515.96482 13.00645 (85*2π)/91611 weeks
8610.98839 -8.39963 (86*2π)/91611 weeks
875.39624 23.47751 (87*2π)/91611 weeks
88-5.42038 -3.68711 (88*2π)/91610 weeks
8914.95426 8.73346 (89*2π)/91610 weeks
90-6.55848 32.96714 (90*2π)/91610 weeks
914.29389 .96707 (91*2π)/91610 weeks
92-9.16679 4.85293 (92*2π)/91610 weeks
9313.2572 2.97098 (93*2π)/91610 weeks
94-15.88269 12.20857 (94*2π)/91610 weeks
953.63997 4.14465 (95*2π)/91610 weeks
966.35836 6.65594 (96*2π)/91610 weeks
974.52005 .11113 (97*2π)/9169 weeks
983.61459 13.95512 (98*2π)/9169 weeks
997.8384 4.84307 (99*2π)/9169 weeks
100-18.25672 13.73965 (100*2π)/9169 weeks
10112.11982 14.16613 (101*2π)/9169 weeks
102-6.13428 7.66866 (102*2π)/9169 weeks
103-8.07692 .17089 (103*2π)/9169 weeks
1041.8783 7.16635 (104*2π)/9169 weeks
1051.11917 -19.56258 (105*2π)/9169 weeks
1063.85326 12.85228 (106*2π)/9169 weeks
10711.69625 14.79769 (107*2π)/9169 weeks
1082.93342 9.48279 (108*2π)/9168 weeks
109-1.19032 12.07807 (109*2π)/9168 weeks
1101.59354 8.71614 (110*2π)/9168 weeks
111-6.27631 4.06823 (111*2π)/9168 weeks
112-14.42426 5.91772 (112*2π)/9168 weeks
11313.03684 16.78397 (113*2π)/9168 weeks
11412.7123 -.33221 (114*2π)/9168 weeks
115-19.5259 7.96071 (115*2π)/9168 weeks
116-2.08298 15.55567 (116*2π)/9168 weeks
117-.54881 3.9863 (117*2π)/9168 weeks
118-15.72811 5.84297 (118*2π)/9168 weeks
11912.29615 .71627 (119*2π)/9168 weeks
120-10.43073 9.65443 (120*2π)/9168 weeks
121-7.7558 -6.21013 (121*2π)/9168 weeks
122-9.4401 16.73245 (122*2π)/9168 weeks
1237.6117 -7.32358 (123*2π)/9167 weeks
124-13.8461 -4.14201 (124*2π)/9167 weeks
1252.28777 6.22942 (125*2π)/9167 weeks
1264.71643 -2.71129 (126*2π)/9167 weeks
1274.25959 1.94982 (127*2π)/9167 weeks
128-1.0626 18.59608 (128*2π)/9167 weeks
1291.93306 -8.3508 (129*2π)/9167 weeks
130-6.19432 14.8454 (130*2π)/9167 weeks
131-1.36215 -.04894 (131*2π)/9167 weeks
132-9.2264 3.62557 (132*2π)/9167 weeks
133-13.30118 1.39051 (133*2π)/9167 weeks
1346.66296 -13.92454 (134*2π)/9167 weeks
135.96198 -3.17434 (135*2π)/9167 weeks
1363.75124 3.75254 (136*2π)/9167 weeks
1377.56943 15.63876 (137*2π)/9167 weeks
138-1.73413 -7.29198 (138*2π)/9167 weeks
139-5.4447 .60009 (139*2π)/9167 weeks
14013.37473 8.99716 (140*2π)/9167 weeks
141-8.27191 1.87376 (141*2π)/9166 weeks
142-14.56933 7.54991 (142*2π)/9166 weeks
14314.08121 -1.96725 (143*2π)/9166 weeks
144-1.47288 -5.07748 (144*2π)/9166 weeks
1453.5061 4.37883 (145*2π)/9166 weeks
146-7.22794 1.73648 (146*2π)/9166 weeks
1472.20786 -.8688 (147*2π)/9166 weeks
148-1.68649 4.96499 (148*2π)/9166 weeks
1499.84472 3.58805 (149*2π)/9166 weeks
150-10.69452 -4.45565 (150*2π)/9166 weeks
15114.99747 7.6594 (151*2π)/9166 weeks
152-2.27373 1.76965 (152*2π)/9166 weeks
153-5.15696 4.70839 (153*2π)/9166 weeks
154-1.76178 6.81551 (154*2π)/9166 weeks
1551.22735 .08742 (155*2π)/9166 weeks
156-2.93235 -2.37844 (156*2π)/9166 weeks
1572.13022 5.12628 (157*2π)/9166 weeks
158-3.20525 -1.58888 (158*2π)/9166 weeks
1596.29986 -8.98488 (159*2π)/9166 weeks
160-1.47514 7.0981 (160*2π)/9166 weeks
1617.28463 -4.87166 (161*2π)/9166 weeks
162.57164 12.8715 (162*2π)/9166 weeks
1636.08892 -5.00529 (163*2π)/9166 weeks
164-2.55215 10.30012 (164*2π)/9166 weeks
165-.48232 7.03169 (165*2π)/9166 weeks
1664.39743 -.47933 (166*2π)/9166 weeks
167-.84719 -1.62099 (167*2π)/9165 weeks
168.60325 8.53446 (168*2π)/9165 weeks
1693.05511 3.4936 (169*2π)/9165 weeks
170.88686 10.69099 (170*2π)/9165 weeks
171-7.72319 3.27047 (171*2π)/9165 weeks
172-9.363 -.20262 (172*2π)/9165 weeks
173-2.73297 -2.55877 (173*2π)/9165 weeks
174-1.67493 -5.29356 (174*2π)/9165 weeks
175.68161 3.72872 (175*2π)/9165 weeks
176-2.38175 -5.10538 (176*2π)/9165 weeks
1775.34441 -3.33295 (177*2π)/9165 weeks
1786.09807 -.0082 (178*2π)/9165 weeks
1792.98813 -2.15636 (179*2π)/9165 weeks
1802.33866 5.43022 (180*2π)/9165 weeks
1818.9685 2.23216 (181*2π)/9165 weeks
182-3.74464 9.3899 (182*2π)/9165 weeks
1831.52522 2.63246 (183*2π)/9165 weeks
184-1.18943 3.92292 (184*2π)/9165 weeks
1854.74527 6.19349 (185*2π)/9165 weeks
186-8.26246 -6.90863 (186*2π)/9165 weeks
187-1.27845 6.04236 (187*2π)/9165 weeks
188-2.94098 7.02992 (188*2π)/9165 weeks
1893.62294 -6.4469 (189*2π)/9165 weeks
190-11.40469 1.3577 (190*2π)/9165 weeks
19115.05432 -5.28086 (191*2π)/9165 weeks
192-3.78134 -1.3646 (192*2π)/9165 weeks
193-.09536 3.87726 (193*2π)/9165 weeks
1943.66112 5.66004 (194*2π)/9165 weeks
1952.36814 -3.84856 (195*2π)/9165 weeks
1961.26664 7.91409 (196*2π)/9165 weeks
197-.11668 -7.90057 (197*2π)/9165 weeks
198-3.76855 10.11679 (198*2π)/9165 weeks
199-.16761 1.22848 (199*2π)/9165 weeks
2001.95572 -6.2748 (200*2π)/9165 weeks
201-.23741 -.38725 (201*2π)/9165 weeks
202.35047 3.66131 (202*2π)/9165 weeks
2035.08615 -6.34895 (203*2π)/9165 weeks
204-6.83373 .57123 (204*2π)/9164 weeks
20519.6742 6.72892 (205*2π)/9164 weeks
206-5.80355 -2.04414 (206*2π)/9164 weeks
207-3.87733 .82149 (207*2π)/9164 weeks
2085.7959 4.41487 (208*2π)/9164 weeks
209-.45445 .36732 (209*2π)/9164 weeks
210-.0184 .54594 (210*2π)/9164 weeks
2113.96074 -2.31463 (211*2π)/9164 weeks
2123.47053 4.02948 (212*2π)/9164 weeks
213-.86495 -1.67468 (213*2π)/9164 weeks
2145.05455 5.33141 (214*2π)/9164 weeks
215-1.59078 2.54802 (215*2π)/9164 weeks
216-4.13795 6.75843 (216*2π)/9164 weeks
2177.28886 -5.87491 (217*2π)/9164 weeks
218-5.99302 -1.10652 (218*2π)/9164 weeks
2195.2517 -1.38936 (219*2π)/9164 weeks
220-1.30309 4.65161 (220*2π)/9164 weeks
2214.1235 .11616 (221*2π)/9164 weeks
2223.87923 -.35176 (222*2π)/9164 weeks
223-7.74444 4.30458 (223*2π)/9164 weeks
2246.43368 -.2709 (224*2π)/9164 weeks
225-.00669 -3.30902 (225*2π)/9164 weeks
226-3.66691 -.16314 (226*2π)/9164 weeks
2274.84045 -4.75392 (227*2π)/9164 weeks
2289.19875 -.74547 (228*2π)/9164 weeks
229-.4283 -1.88366 (229*2π)/9164 weeks
23012.24449 9.77447 (230*2π)/9164 weeks
2311.90179 -1.71085 (231*2π)/9164 weeks
232-3.18755 8.22373 (232*2π)/9164 weeks
2335.78902 3.59939 (233*2π)/9164 weeks
234-4.53924 1.39629 (234*2π)/9164 weeks
235-1.40995 -.07915 (235*2π)/9164 weeks
2363.53699 3.53844 (236*2π)/9164 weeks
237.30538 -7.34285 (237*2π)/9164 weeks
2384.01445 -.37707 (238*2π)/9164 weeks
2392.60133 3.65779 (239*2π)/9164 weeks
2401.49604 -3.48875 (240*2π)/9164 weeks
2415.00574 6.10427 (241*2π)/9164 weeks
2428.49639 4.99005 (242*2π)/9164 weeks
2432.57309 -.54348 (243*2π)/9164 weeks
244-4.95167 7.86473 (244*2π)/9164 weeks
2452.17145 3.83134 (245*2π)/9164 weeks
2464.78507 -.99715 (246*2π)/9164 weeks
247-3.92138 -2.19822 (247*2π)/9164 weeks
2484.62198 9.24078 (248*2π)/9164 weeks
249.79516 -1.51405 (249*2π)/9164 weeks
2504.04349 .75306 (250*2π)/9164 weeks
251-5.77939 7.07044 (251*2π)/9164 weeks
2523.45453 6.81134 (252*2π)/9164 weeks
253-5.39207 -.74705 (253*2π)/9164 weeks
254-.15362 -3.92306 (254*2π)/9164 weeks
2553.56463 -.28258 (255*2π)/9164 weeks
256-.48663 1.66016 (256*2π)/9164 weeks
2574.47263 -1.61514 (257*2π)/9164 weeks
258.51952 4.50984 (258*2π)/9164 weeks
2595.11023 .41397 (259*2π)/9164 weeks
260-2.50264 1.87338 (260*2π)/9164 weeks
261.67044 6.7679 (261*2π)/9164 weeks
2622.15898 1.43369 (262*2π)/9163 weeks
263-2.46179 1.66986 (263*2π)/9163 weeks
264-1.00711 4.22656 (264*2π)/9163 weeks
265-6.40332 -4.02942 (265*2π)/9163 weeks
2662.93776 -2.42088 (266*2π)/9163 weeks
267-.8465 .85048 (267*2π)/9163 weeks
268-.23829 -4.49351 (268*2π)/9163 weeks
2699.5379 .65972 (269*2π)/9163 weeks
270.12802 2.12025 (270*2π)/9163 weeks
2716.8553 -.99179 (271*2π)/9163 weeks
272.85733 .05342 (272*2π)/9163 weeks
2732.77475 6.08229 (273*2π)/9163 weeks
2741.14816 6.19638 (274*2π)/9163 weeks
275-.98841 1.88735 (275*2π)/9163 weeks
276.40189 5.92354 (276*2π)/9163 weeks
277-6.15859 .05626 (277*2π)/9163 weeks
278-.40357 1.90391 (278*2π)/9163 weeks
279-5.08377 -4.03594 (279*2π)/9163 weeks
2802.2614 -1.63411 (280*2π)/9163 weeks
281-1.75989 -3.50442 (281*2π)/9163 weeks
2823.60799 -6.20108 (282*2π)/9163 weeks
2832.6627 2.44807 (283*2π)/9163 weeks
2848.48531 2.2502 (284*2π)/9163 weeks
285-.72578 1.04643 (285*2π)/9163 weeks
2862.52733 -1.97077 (286*2π)/9163 weeks
287.99037 3.13636 (287*2π)/9163 weeks
2882.78649 .94134 (288*2π)/9163 weeks
2891.28231 .87355 (289*2π)/9163 weeks
2902.22388 -1.74181 (290*2π)/9163 weeks
291-1.1207 2.80234 (291*2π)/9163 weeks
2922.02713 4.51062 (292*2π)/9163 weeks
2934.06883 -.916 (293*2π)/9163 weeks
294-.79024 2.10997 (294*2π)/9163 weeks
2951.35632 4.67356 (295*2π)/9163 weeks
2961.22856 -7.75889 (296*2π)/9163 weeks
297-2.70656 6.32809 (297*2π)/9163 weeks
2982.91298 -.94237 (298*2π)/9163 weeks
2992.63432 -1.32696 (299*2π)/9163 weeks
300-.04552 -.19583 (300*2π)/9163 weeks
3013.45161 2.49903 (301*2π)/9163 weeks
302-2.61857 -1.9183 (302*2π)/9163 weeks
3035.8884 -.90416 (303*2π)/9163 weeks
3045.30478 2.17365 (304*2π)/9163 weeks
3054.44368 2.87304 (305*2π)/9163 weeks
306-3.35511 5.05128 (306*2π)/9163 weeks
3074.87999 -.18593 (307*2π)/9163 weeks
308-1.02822 7.28602 (308*2π)/9163 weeks
309-.42396 1.25264 (309*2π)/9163 weeks
310-2.72959 -1.69829 (310*2π)/9163 weeks
311-3.33772 6.41182 (311*2π)/9163 weeks
3122.42773 -1.82573 (312*2π)/9163 weeks
313-3.02208 -1.90317 (313*2π)/9163 weeks
314.35022 2.26215 (314*2π)/9163 weeks
3152.7602 -7.78796 (315*2π)/9163 weeks
3162.11388 4.5354 (316*2π)/9163 weeks
317-.94579 -3.97569 (317*2π)/9163 weeks
3181.53631 2.24576 (318*2π)/9163 weeks
319.25984 1.49484 (319*2π)/9163 weeks
3202.84864 3.96312 (320*2π)/9163 weeks
3212.03639 -5.83575 (321*2π)/9163 weeks
322.59548 2.18209 (322*2π)/9163 weeks
323-1.17877 4.42964 (323*2π)/9163 weeks
3248.24382 2.15389 (324*2π)/9163 weeks
325-10.01192 1.86019 (325*2π)/9163 weeks
3261.62487 .21656 (326*2π)/9163 weeks
327-3.75962 -2.57577 (327*2π)/9163 weeks
328-2.65513 -3.71541 (328*2π)/9163 weeks
3292.1467 .0348 (329*2π)/9163 weeks
3303.37375 -3.82429 (330*2π)/9163 weeks
331-3.11648 -7.09504 (331*2π)/9163 weeks
3326.38897 2.63806 (332*2π)/9163 weeks
3334.85888 -4.45296 (333*2π)/9163 weeks
3341.83911 -3.24038 (334*2π)/9163 weeks
3352.9463 4.24947 (335*2π)/9163 weeks
3365.79255 2.1918 (336*2π)/9163 weeks
337.52074 -7.47956 (337*2π)/9163 weeks
3382.07392 8.30473 (338*2π)/9163 weeks
3396.46523 2.32652 (339*2π)/9163 weeks
340-1.42697 -6.11063 (340*2π)/9163 weeks
341.54796 .60045 (341*2π)/9163 weeks
3428.09479 3.10214 (342*2π)/9163 weeks
3431.87381 3.3484 (343*2π)/9163 weeks
3441.49785 2.05071 (344*2π)/9163 weeks
345-.61099 .27685 (345*2π)/9163 weeks
3463.21068 2.16053 (346*2π)/9163 weeks
347-2.41128 -1.62324 (347*2π)/9163 weeks
3484.73173 4.56207 (348*2π)/9163 weeks
349-4.35617 -2.45547 (349*2π)/9163 weeks
3503.17249 6.50184 (350*2π)/9163 weeks
3511.71154 -5.81343 (351*2π)/9163 weeks
352.39295 .16712 (352*2π)/9163 weeks
353-3.22551 2.13949 (353*2π)/9163 weeks
3545.27709 -4.80445 (354*2π)/9163 weeks
355.67189 -1.49147 (355*2π)/9163 weeks
3564.50948 7.18771 (356*2π)/9163 weeks
3572.04431 -6.99085 (357*2π)/9163 weeks
3581.06586 .67276 (358*2π)/9163 weeks
3592.87617 -1.41269 (359*2π)/9163 weeks
3603.00749 2.00428 (360*2π)/9163 weeks
3615.96995 -1.87301 (361*2π)/9163 weeks
3621.97602 6.43009 (362*2π)/9163 weeks
3637.66928 -1.89277 (363*2π)/9163 weeks
364-.43937 4.06733 (364*2π)/9163 weeks
3654.40813 4.71867 (365*2π)/9163 weeks
366-.72561 1.45642 (366*2π)/9163 weeks
367-1.65964 7.47261 (367*2π)/9162 weeks
3683.40953 -1.08871 (368*2π)/9162 weeks
369-5.41217 4.71435 (369*2π)/9162 weeks
370-.29364 2.7911 (370*2π)/9162 weeks
3711.44725 -4.60954 (371*2π)/9162 weeks
372-2.1723 -1.00431 (372*2π)/9162 weeks
3732.15572 2.78994 (373*2π)/9162 weeks
374.67248 -.97695 (374*2π)/9162 weeks
375-3.3372 -1.0588 (375*2π)/9162 weeks
376.01278 .9326 (376*2π)/9162 weeks
3772.72309 -4.36849 (377*2π)/9162 weeks
3784.64893 2.74666 (378*2π)/9162 weeks
3791.53293 -1.5578 (379*2π)/9162 weeks
3805.98585 1.59414 (380*2π)/9162 weeks
381-5.76808 -2.12025 (381*2π)/9162 weeks
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777-5.4447 -.60009 (777*2π)/9161 weeks
778-1.73413 7.29198 (778*2π)/9161 weeks
7797.56943 -15.63876 (779*2π)/9161 weeks
7803.75124 -3.75254 (780*2π)/9161 weeks
781.96198 3.17434 (781*2π)/9161 weeks
7826.66296 13.92454 (782*2π)/9161 weeks
783-13.30118 -1.39051 (783*2π)/9161 weeks
784-9.2264 -3.62557 (784*2π)/9161 weeks
785-1.36215 .04894 (785*2π)/9161 weeks
786-6.19432 -14.8454 (786*2π)/9161 weeks
7871.93306 8.3508 (787*2π)/9161 weeks
788-1.0626 -18.59608 (788*2π)/9161 weeks
7894.25959 -1.94982 (789*2π)/9161 weeks
7904.71643 2.71129 (790*2π)/9161 weeks
7912.28777 -6.22942 (791*2π)/9161 weeks
792-13.8461 4.14201 (792*2π)/9161 weeks
7937.6117 7.32358 (793*2π)/9161 weeks
794-9.4401 -16.73245 (794*2π)/9161 weeks
795-7.7558 6.21013 (795*2π)/9161 weeks
796-10.43073 -9.65443 (796*2π)/9161 weeks
79712.29615 -.71627 (797*2π)/9161 weeks
798-15.72811 -5.84297 (798*2π)/9161 weeks
799-.54881 -3.9863 (799*2π)/9161 weeks
800-2.08298 -15.55567 (800*2π)/9161 weeks
801-19.5259 -7.96071 (801*2π)/9161 weeks
80212.7123 .33221 (802*2π)/9161 weeks
80313.03684 -16.78397 (803*2π)/9161 weeks
804-14.42426 -5.91772 (804*2π)/9161 weeks
805-6.27631 -4.06823 (805*2π)/9161 weeks
8061.59354 -8.71614 (806*2π)/9161 weeks
807-1.19032 -12.07807 (807*2π)/9161 weeks
8082.93342 -9.48279 (808*2π)/9161 weeks
80911.69625 -14.79769 (809*2π)/9161 weeks
8103.85326 -12.85228 (810*2π)/9161 weeks
8111.11917 19.56258 (811*2π)/9161 weeks
8121.8783 -7.16635 (812*2π)/9161 weeks
813-8.07692 -.17089 (813*2π)/9161 weeks
814-6.13428 -7.66866 (814*2π)/9161 weeks
81512.11982 -14.16613 (815*2π)/9161 weeks
816-18.25672 -13.73965 (816*2π)/9161 weeks
8177.8384 -4.84307 (817*2π)/9161 weeks
8183.61459 -13.95512 (818*2π)/9161 weeks
8194.52005 -.11113 (819*2π)/9161 weeks
8206.35836 -6.65594 (820*2π)/9161 weeks
8213.63997 -4.14465 (821*2π)/9161 weeks
822-15.88269 -12.20857 (822*2π)/9161 weeks
82313.2572 -2.97098 (823*2π)/9161 weeks
824-9.16679 -4.85293 (824*2π)/9161 weeks
8254.29389 -.96707 (825*2π)/9161 weeks
826-6.55848 -32.96714 (826*2π)/9161 weeks
82714.95426 -8.73346 (827*2π)/9161 weeks
828-5.42038 3.68711 (828*2π)/9161 weeks
8295.39624 -23.47751 (829*2π)/9161 weeks
83010.98839 8.39963 (830*2π)/9161 weeks
83115.96482 -13.00645 (831*2π)/9161 weeks
832-1.58176 -16.98703 (832*2π)/9161 weeks
833-2.62682 -.75756 (833*2π)/9161 weeks
8342.87479 -6.24975 (834*2π)/9161 weeks
83510.11382 -4.78157 (835*2π)/9161 weeks
8362.82759 -4.91911 (836*2π)/9161 weeks
83722.97794 -4.64305 (837*2π)/9161 weeks
838-1.39791 -15.42191 (838*2π)/9161 weeks
83914.1392 2.65202 (839*2π)/9161 weeks
840-5.81656 2.96519 (840*2π)/9161 weeks
84125.01038 1.8742 (841*2π)/9161 weeks
842-9.17049 6.52117 (842*2π)/9161 weeks
8435.12582 -4.40959 (843*2π)/9161 weeks
8443.58402 8.47518 (844*2π)/9161 weeks
845-6.14753 2.8584 (845*2π)/9161 weeks
846-19.57686 8.66588 (846*2π)/9161 weeks
847-6.5359 -19.65734 (847*2π)/9161 weeks
848-2.85982 1.95306 (848*2π)/9161 weeks
8496.39119 -38.42571 (849*2π)/9161 weeks
850.67172 .99204 (850*2π)/9161 weeks
851.36183 11.56322 (851*2π)/9161 weeks
8529.59362 -16.58794 (852*2π)/9161 weeks
853-2.41617 1.70178 (853*2π)/9161 weeks
8545.56163 -2.84622 (854*2π)/9161 weeks
85514.45689 -2.53732 (855*2π)/9161 weeks
856-42.89959 9.75372 (856*2π)/9161 weeks
857-7.33894 -3.30081 (857*2π)/9161 weeks
858-2.222 -6.04773 (858*2π)/9161 weeks
859-23.73851 -18.88663 (859*2π)/9161 weeks
8601.07405 -9.22866 (860*2π)/9161 weeks
8618.43611 -46.186 (861*2π)/9161 weeks
862-26.93415 1.03964 (862*2π)/9161 weeks
8637.99966 -30.07022 (863*2π)/9161 weeks
86419.49819 -13.92573 (864*2π)/9161 weeks
865-3.69595 -29.09746 (865*2π)/9161 weeks
86623.50112 20.21525 (866*2π)/9161 weeks
86713.70291 -25.28069 (867*2π)/9161 weeks
868-25.25572 -12.34272 (868*2π)/9161 weeks
86947.96004 11.67527 (869*2π)/9161 weeks
870-13.53238 -20.61906 (870*2π)/9161 weeks
871-10.54606 2.49018 (871*2π)/9161 weeks
872-13.46815 25.89657 (872*2π)/9161 weeks
87329.89876 -12.87053 (873*2π)/9161 weeks
874-40.66973 -16.97638 (874*2π)/9161 weeks
875-.54531 -7.18373 (875*2π)/9161 weeks
876-7.55231 -3.40454 (876*2π)/9161 weeks
877-17.04493 -39.93119 (877*2π)/9161 weeks
87813.89343 -22.39937 (878*2π)/9161 weeks
8794.4007 .84109 (879*2π)/9161 weeks
880-9.33947 -.71463 (880*2π)/9161 weeks
8811.85594 -14.7578 (881*2π)/9161 weeks
882-48.63367 -33.72527 (882*2π)/9161 weeks
883-2.56067 28.24131 (883*2π)/9161 weeks
884-17.02581 -35.01066 (884*2π)/9161 weeks
88523.27156 -93.1146 (885*2π)/9161 weeks
886-32.63399 10.93539 (886*2π)/9161 weeks
88758.96959 -21.3564 (887*2π)/9161 weeks
888-22.29984 -29.24638 (888*2π)/9161 weeks
889-21.76806 -19.44683 (889*2π)/9161 weeks
890.74045 -19.27453 (890*2π)/9161 weeks
89126.97038 -64.83721 (891*2π)/9161 weeks
892-27.19965 71.10314 (892*2π)/9161 weeks
89336.9166 -56.00193 (893*2π)/9161 weeks
89412.77013 -51.96431 (894*2π)/9161 weeks
895-44.2835 -29.76062 (895*2π)/9161 weeks
896-43.6085 82.16242 (896*2π)/9161 weeks
897-27.8674 -144.3572 (897*2π)/9161 weeks
898-121.1556 -8.6946 (898*2π)/9161 weeks
89994.73161 -103.5648 (899*2π)/9161 weeks
90067.20047 -23.58812 (900*2π)/9161 weeks
901-20.77196 -187.0622 (901*2π)/9161 weeks
90273.30654 67.46748 (902*2π)/9161 weeks
903-68.3194 -109.3609 (903*2π)/9161 weeks
90460.07304 78.34489 (904*2π)/9161 weeks
9053.57001 -115.6708 (905*2π)/9161 weeks
9066.19743 32.26486 (906*2π)/9161 weeks
90758.8978 -173.8487 (907*2π)/9161 weeks
908-137.5801 -35.72504 (908*2π)/9161 weeks
909-81.2411 -56.43343 (909*2π)/9161 weeks
91089.69003 47.13699 (910*2π)/9161 weeks
911122.1518 -394.7502 (911*2π)/9161 weeks
912-200.6807 26.14072 (912*2π)/9161 weeks
913292.2212 -539.8549 (913*2π)/9161 weeks
914-264.7663 -214.8337 (914*2π)/9161 weeks



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