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Fourier Analysis of KEG (Key Energy Services Inc)


KEG (Key Energy Services Inc) appears to have interesting cyclic behaviour every 62 weeks (188.4366*sine), 71 weeks (146.4871*sine), and 52 weeks (138.6036*cosine).

KEG (Key Energy Services Inc) has an average price of 1,837.3 (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 10/9/2017 for KEG (Key Energy Services Inc), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
01,837.295   0 
1-819.913 553.5939 (1*2π)/928928 weeks
2-254.8519 250.3978 (2*2π)/928464 weeks
3333.0763 500.9061 (3*2π)/928309 weeks
4-226.0992 8.61294 (4*2π)/928232 weeks
5181.0647 354.0006 (5*2π)/928186 weeks
631.29982 -78.49887 (6*2π)/928155 weeks
7-101.2579 88.66055 (7*2π)/928133 weeks
8-126.7339 87.41686 (8*2π)/928116 weeks
9107.7803 133.9747 (9*2π)/928103 weeks
10-30.53147 -33.76877 (10*2π)/92893 weeks
1132.97107 101.6797 (11*2π)/92884 weeks
12-9.61575 -81.40608 (12*2π)/92877 weeks
13-17.49358 146.4871 (13*2π)/92871 weeks
1420.22705 -69.1166 (14*2π)/92866 weeks
1573.79597 188.4366 (15*2π)/92862 weeks
1633.09093 -19.91311 (16*2π)/92858 weeks
1768.07687 52.74831 (17*2π)/92855 weeks
18-138.6036 110.7289 (18*2π)/92852 weeks
1941.27864 100.1781 (19*2π)/92849 weeks
20-121.4169 -40.25835 (20*2π)/92846 weeks
215.61352 54.56416 (21*2π)/92844 weeks
2241.37048 10.65681 (22*2π)/92842 weeks
2321.85521 -.23051 (23*2π)/92840 weeks
24-89.13545 -1.71826 (24*2π)/92839 weeks
2568.20327 32.78507 (25*2π)/92837 weeks
26-14.5423 28.22636 (26*2π)/92836 weeks
27-10.33929 40.40014 (27*2π)/92834 weeks
285.56988 25.65344 (28*2π)/92833 weeks
2916.08535 -28.19013 (29*2π)/92832 weeks
30-29.03998 59.94708 (30*2π)/92831 weeks
3167.70341 21.63159 (31*2π)/92830 weeks
32-39.38508 37.64843 (32*2π)/92829 weeks
33-54.47164 12.18441 (33*2π)/92828 weeks
3414.78495 52.71584 (34*2π)/92827 weeks
35-11.02257 -13.38806 (35*2π)/92827 weeks
36-16.48994 10.79837 (36*2π)/92826 weeks
37-2.67375 1.29896 (37*2π)/92825 weeks
3816.06565 8.55527 (38*2π)/92824 weeks
398.00627 33.43424 (39*2π)/92824 weeks
40-28.6191 11.77132 (40*2π)/92823 weeks
41-7.33586 10.33774 (41*2π)/92823 weeks
42.06866 26.59011 (42*2π)/92822 weeks
43-20.89662 -30.45513 (43*2π)/92822 weeks
44-21.59285 34.68267 (44*2π)/92821 weeks
4515.65862 .02683 (45*2π)/92821 weeks
4613.61768 -6.7694 (46*2π)/92820 weeks
47-22.14011 -20.39849 (47*2π)/92820 weeks
4834.18181 37.89385 (48*2π)/92819 weeks
49-.92657 -15.2178 (49*2π)/92819 weeks
50-15.53799 16.05588 (50*2π)/92819 weeks
5140.49459 11.37245 (51*2π)/92818 weeks
52-5.22375 9.15841 (52*2π)/92818 weeks
5315.40436 24.07942 (53*2π)/92818 weeks
54-.63394 38.15267 (54*2π)/92817 weeks
551.85541 -15.37403 (55*2π)/92817 weeks
56-19.06601 37.98602 (56*2π)/92817 weeks
572.53683 22.12726 (57*2π)/92816 weeks
58-23.957 8.85945 (58*2π)/92816 weeks
59-5.01032 13.70027 (59*2π)/92816 weeks
60-2.89981 11.68948 (60*2π)/92815 weeks
61-28.88293 -30.20603 (61*2π)/92815 weeks
625.33713 6.58101 (62*2π)/92815 weeks
633.9307 6.0685 (63*2π)/92815 weeks
64.5987 -3.82705 (64*2π)/92815 weeks
651.73724 19.95591 (65*2π)/92814 weeks
668.16332 -8.53481 (66*2π)/92814 weeks
675.54309 -5.05079 (67*2π)/92814 weeks
68-4.64828 37.54895 (68*2π)/92814 weeks
691.11841 .43991 (69*2π)/92813 weeks
70-9.25059 19.78037 (70*2π)/92813 weeks
71-16.23257 -10.35679 (71*2π)/92813 weeks
72-6.56358 -3.45263 (72*2π)/92813 weeks
734.22932 -7.87756 (73*2π)/92813 weeks
744.49094 4.78777 (74*2π)/92813 weeks
75-8.86735 -7.44545 (75*2π)/92812 weeks
7624.72115 -.78241 (76*2π)/92812 weeks
77-5.63268 -3.09261 (77*2π)/92812 weeks
7813.88065 -2.67212 (78*2π)/92812 weeks
79-.35033 15.87741 (79*2π)/92812 weeks
8022.63822 2.53818 (80*2π)/92812 weeks
812.14309 5.29019 (81*2π)/92811 weeks
829.18296 4.02373 (82*2π)/92811 weeks
831.9737 7.00103 (83*2π)/92811 weeks
84-3.63514 3.92614 (84*2π)/92811 weeks
853.78706 18.31067 (85*2π)/92811 weeks
8617.56782 6.45601 (86*2π)/92811 weeks
873.23546 -8.43286 (87*2π)/92811 weeks
889.83845 22.70343 (88*2π)/92811 weeks
89-9.80415 1.4712 (89*2π)/92810 weeks
9014.50456 6.64844 (90*2π)/92810 weeks
914.87534 32.85553 (91*2π)/92810 weeks
92-3.55214 -3.14719 (92*2π)/92810 weeks
93-8.41557 10.37542 (93*2π)/92810 weeks
947.65345 -2.25696 (94*2π)/92810 weeks
95-8.21954 21.92503 (95*2π)/92810 weeks
963.7172 -.76644 (96*2π)/92810 weeks
975.06115 2.47114 (97*2π)/92810 weeks
98-.77735 2.51516 (98*2π)/9289 weeks
998.04233 12.09857 (99*2π)/9289 weeks
100.25749 4.7771 (100*2π)/9289 weeks
101-4.07485 25.54551 (101*2π)/9289 weeks
1029.94148 -3.30741 (102*2π)/9289 weeks
103-8.79731 11.86214 (103*2π)/9289 weeks
104-9.24289 5.745 (104*2π)/9289 weeks
1051.93941 -.26047 (105*2π)/9289 weeks
106-14.27727 -3.69452 (106*2π)/9289 weeks
10720.66535 8.52846 (107*2π)/9289 weeks
10811.22839 2.60228 (108*2π)/9289 weeks
109-.32286 11.64262 (109*2π)/9289 weeks
1101.1491 12.56564 (110*2π)/9288 weeks
111-2.64149 8.24283 (111*2π)/9288 weeks
112-5.05791 13.61129 (112*2π)/9288 weeks
113.35658 11.16347 (113*2π)/9288 weeks
1146.61247 -10.79396 (114*2π)/9288 weeks
115-10.93838 7.19944 (115*2π)/9288 weeks
1162.91005 28.46931 (116*2π)/9288 weeks
1171.8329 -.92068 (117*2π)/9288 weeks
118-10.54634 5.9204 (118*2π)/9288 weeks
119-3.48146 12.36615 (119*2π)/9288 weeks
120-8.80901 -9.25097 (120*2π)/9288 weeks
1213.11424 16.99086 (121*2π)/9288 weeks
122-10.73553 5.44112 (122*2π)/9288 weeks
1236.75555 -1.46463 (123*2π)/9288 weeks
124-19.71448 -1.88681 (124*2π)/9287 weeks
1253.93297 10.58996 (125*2π)/9287 weeks
126.53124 -11.11165 (126*2π)/9287 weeks
127-4.82526 1.46937 (127*2π)/9287 weeks
1285.21255 1.95198 (128*2π)/9287 weeks
1297.81724 3.96555 (129*2π)/9287 weeks
130-13.2674 12.39668 (130*2π)/9287 weeks
13110.75981 1.75728 (131*2π)/9287 weeks
132-11.20618 7.97495 (132*2π)/9287 weeks
133.10178 5.03123 (133*2π)/9287 weeks
134-7.34133 1.25386 (134*2π)/9287 weeks
135-15.19276 -5.67283 (135*2π)/9287 weeks
13610.17358 -6.12591 (136*2π)/9287 weeks
1374.49968 -5.07535 (137*2π)/9287 weeks
1382.99291 .82577 (138*2π)/9287 weeks
139-1.75987 17.78769 (139*2π)/9287 weeks
1404.40628 -4.06494 (140*2π)/9287 weeks
141-3.60855 -4.22176 (141*2π)/9287 weeks
1429.41767 14.27521 (142*2π)/9287 weeks
143-4.3887 -.20288 (143*2π)/9286 weeks
144-17.41823 1.05563 (144*2π)/9286 weeks
14512.13498 4.47129 (145*2π)/9286 weeks
1461.6331 -5.1065 (146*2π)/9286 weeks
1473.37773 4.86002 (147*2π)/9286 weeks
148-6.68425 -.16969 (148*2π)/9286 weeks
1492.40445 -.74404 (149*2π)/9286 weeks
150-2.57218 4.13864 (150*2π)/9286 weeks
1519.52308 5.13386 (151*2π)/9286 weeks
152-9.88252 -5.70595 (152*2π)/9286 weeks
15314.3799 8.37494 (153*2π)/9286 weeks
154-2.07315 1.67937 (154*2π)/9286 weeks
155-5.05982 4.73129 (155*2π)/9286 weeks
156-1.40463 6.7073 (156*2π)/9286 weeks
1571.06375 -.30966 (157*2π)/9286 weeks
158-3.29114 -1.92858 (158*2π)/9286 weeks
1592.84117 4.5184 (159*2π)/9286 weeks
160-3.44865 -1.37816 (160*2π)/9286 weeks
1613.91314 -9.31563 (161*2π)/9286 weeks
162.71724 8.3321 (162*2π)/9286 weeks
1635.07114 -5.47211 (163*2π)/9286 weeks
1644.33273 12.78262 (164*2π)/9286 weeks
1651.96738 -5.76245 (165*2π)/9286 weeks
166.84043 12.15848 (166*2π)/9286 weeks
1671.40567 5.44804 (167*2π)/9286 weeks
1681.32618 -2.77895 (168*2π)/9286 weeks
169-2.95569 1.35366 (169*2π)/9285 weeks
1704.22503 8.03126 (170*2π)/9285 weeks
1711.65419 1.98272 (171*2π)/9285 weeks
1722.30926 8.36658 (172*2π)/9285 weeks
173-8.97689 6.03679 (173*2π)/9285 weeks
174-8.54893 2.87773 (174*2π)/9285 weeks
175-3.37685 -3.25509 (175*2π)/9285 weeks
176-3.08911 -3.35065 (176*2π)/9285 weeks
1774.35397 .66565 (177*2π)/9285 weeks
178-4.23991 -2.85837 (178*2π)/9285 weeks
1793.64017 -5.72912 (179*2π)/9285 weeks
1804.81262 -1.53245 (180*2π)/9285 weeks
1811.51241 1.36817 (181*2π)/9285 weeks
1827.30582 4.12014 (182*2π)/9285 weeks
1834.16657 -1.08248 (183*2π)/9285 weeks
1843.58693 11.7001 (184*2π)/9285 weeks
185-1.52099 .72888 (185*2π)/9285 weeks
186-.05192 4.12464 (186*2π)/9285 weeks
187.66329 .37463 (187*2π)/9285 weeks
188-10.05293 8.64636 (188*2π)/9285 weeks
1896.90583 .42309 (189*2π)/9285 weeks
190.16637 1.269 (190*2π)/9285 weeks
191-9.0326 -3.69403 (191*2π)/9285 weeks
1922.00383 7.01038 (192*2π)/9285 weeks
193-2.89752 -14.95235 (193*2π)/9285 weeks
1944.37072 10.01133 (194*2π)/9285 weeks
1955.70151 -.99716 (195*2π)/9285 weeks
1961.80438 -1.80938 (196*2π)/9285 weeks
197-4.13614 2.74696 (197*2π)/9285 weeks
1986.27327 1.78441 (198*2π)/9285 weeks
199-6.46329 4.82474 (199*2π)/9285 weeks
20010.20566 .39744 (200*2π)/9285 weeks
201-6.74104 -.0469 (201*2π)/9285 weeks
202-4.83834 .47885 (202*2π)/9285 weeks
2034.88657 -.56439 (203*2π)/9285 weeks
2042.3921 -1.67582 (204*2π)/9285 weeks
205-3.88451 .31694 (205*2π)/9285 weeks
2068.57431 1.07245 (206*2π)/9285 weeks
207-2.09845 -11.34949 (207*2π)/9284 weeks
2086.73785 17.82358 (208*2π)/9284 weeks
2091.9457 -2.00364 (209*2π)/9284 weeks
210-1.18417 -4.45011 (210*2π)/9284 weeks
2111.31885 5.74341 (211*2π)/9284 weeks
212.37925 .33834 (212*2π)/9284 weeks
213-.43015 -.31483 (213*2π)/9284 weeks
2145.18807 -.66053 (214*2π)/9284 weeks
2151.9057 4.60156 (215*2π)/9284 weeks
2161.84673 -2.85449 (216*2π)/9284 weeks
2172.99787 6.24623 (217*2π)/9284 weeks
218-.64403 1.53924 (218*2π)/9284 weeks
219-7.5653 4.35833 (219*2π)/9284 weeks
2208.94583 -.74576 (220*2π)/9284 weeks
221-4.25413 -4.01333 (221*2π)/9284 weeks
2225.52229 -.45389 (222*2π)/9284 weeks
223-2.5083 3.11998 (223*2π)/9284 weeks
2243.80644 1.23216 (224*2π)/9284 weeks
2254.77895 .49158 (225*2π)/9284 weeks
226-8.35838 2.12845 (226*2π)/9284 weeks
2275.94176 1.19446 (227*2π)/9284 weeks
228.75742 -3.26123 (228*2π)/9284 weeks
229-3.79775 -.77444 (229*2π)/9284 weeks
2304.85492 -4.51848 (230*2π)/9284 weeks
2319.1346 -.54634 (231*2π)/9284 weeks
232-.40759 -1.84754 (232*2π)/9284 weeks
23312.40235 9.32827 (233*2π)/9284 weeks
2341.25825 -1.57489 (234*2π)/9284 weeks
235-2.41838 8.79353 (235*2π)/9284 weeks
2365.72924 2.54072 (236*2π)/9284 weeks
237-4.73264 2.23432 (237*2π)/9284 weeks
238-1.16092 .28544 (238*2π)/9284 weeks
2394.30775 2.10185 (239*2π)/9284 weeks
240-2.00858 -6.60029 (240*2π)/9284 weeks
2414.05876 -.05023 (241*2π)/9284 weeks
2423.67096 3.59117 (242*2π)/9284 weeks
243.26116 -2.05133 (243*2π)/9284 weeks
2447.71998 5.03322 (244*2π)/9284 weeks
2457.87079 1.51982 (245*2π)/9284 weeks
246-.86703 1.06941 (246*2π)/9284 weeks
247-.78104 10.70933 (247*2π)/9284 weeks
2482.79609 .89102 (248*2π)/9284 weeks
249.78425 -2.5914 (249*2π)/9284 weeks
250-4.26899 3.61854 (250*2π)/9284 weeks
2519.02404 4.44972 (251*2π)/9284 weeks
252-2.96638 -.35679 (252*2π)/9284 weeks
2532.07969 1.27838 (253*2π)/9284 weeks
254.59254 10.51564 (254*2π)/9284 weeks
2553.77765 .16676 (255*2π)/9284 weeks
256-7.07024 2.77906 (256*2π)/9284 weeks
257-2.42741 -3.08077 (257*2π)/9284 weeks
2582.94404 -1.58903 (258*2π)/9284 weeks
2591.61738 2.66111 (259*2π)/9284 weeks
2601.24185 -2.30502 (260*2π)/9284 weeks
2614.25385 4.16863 (261*2π)/9284 weeks
262.66501 -.90528 (262*2π)/9284 weeks
263.85521 6.67038 (263*2π)/9284 weeks
2644.36307 1.93307 (264*2π)/9284 weeks
265-2.25198 .52897 (265*2π)/9284 weeks
266-1.21727 4.68242 (266*2π)/9283 weeks
267.09475 1.63941 (267*2π)/9283 weeks
268-6.3292 2.79571 (268*2π)/9283 weeks
269.48032 -5.74929 (269*2π)/9283 weeks
2702.29966 .5118 (270*2π)/9283 weeks
271-1.41249 -2.16539 (271*2π)/9283 weeks
2724.78468 -6.54834 (272*2π)/9283 weeks
2733.85561 4.98834 (273*2π)/9283 weeks
274.45423 -1.55333 (274*2π)/9283 weeks
2754.59484 5.09537 (275*2π)/9283 weeks
2766.27901 .93421 (276*2π)/9283 weeks
2771.63687 4.00113 (277*2π)/9283 weeks
278-1.763 5.01771 (278*2π)/9283 weeks
279.74785 2.05532 (279*2π)/9283 weeks
280-3.52518 6.38858 (280*2π)/9283 weeks
281-2.87361 -2.23689 (281*2π)/9283 weeks
282-3.74084 2.6234 (282*2π)/9283 weeks
283-1.56147 -5.6443 (283*2π)/9283 weeks
284.39521 .10727 (284*2π)/9283 weeks
285-.27013 -4.62269 (285*2π)/9283 weeks
2866.95639 -4.44987 (286*2π)/9283 weeks
287.91931 -1.07627 (287*2π)/9283 weeks
2884.9893 6.13113 (288*2π)/9283 weeks
289.10655 .26953 (289*2π)/9283 weeks
2904.45222 -.80317 (290*2π)/9283 weeks
291.02904 1.55541 (291*2π)/9283 weeks
2922.29449 1.84011 (292*2π)/9283 weeks
2931.29802 1.14189 (293*2π)/9283 weeks
2944.27222 -.90765 (294*2π)/9283 weeks
295-1.05907 .20898 (295*2π)/9283 weeks
296-.52715 4.13979 (296*2π)/9283 weeks
2974.63659 1.06994 (297*2π)/9283 weeks
298-.61175 1.09809 (298*2π)/9283 weeks
299-.58407 5.3414 (299*2π)/9283 weeks
3004.62914 -6.80133 (300*2π)/9283 weeks
301-4.32995 4.24453 (301*2π)/9283 weeks
3022.69436 -.05279 (302*2π)/9283 weeks
3033.0745 -.87488 (303*2π)/9283 weeks
304.17002 -.67194 (304*2π)/9283 weeks
3053.08878 2.81436 (305*2π)/9283 weeks
306-2.35673 -2.40624 (306*2π)/9283 weeks
3075.77832 -.65884 (307*2π)/9283 weeks
3085.22052 2.23921 (308*2π)/9283 weeks
3094.41125 2.86342 (309*2π)/9283 weeks
310-3.24029 5.1124 (310*2π)/9283 weeks
3114.65503 -.40408 (311*2π)/9283 weeks
312-.61734 7.33366 (312*2π)/9283 weeks
313-.67502 1.04331 (313*2π)/9283 weeks
314-3.28836 -1.01723 (314*2π)/9283 weeks
315-1.6911 6.67661 (315*2π)/9283 weeks
3161.6826 -3.03193 (316*2π)/9283 weeks
317-3.3945 -.87789 (317*2π)/9283 weeks
3181.52326 1.48596 (318*2π)/9283 weeks
319-.05292 -7.70177 (319*2π)/9283 weeks
3203.75049 4.25476 (320*2π)/9283 weeks
321-2.54752 -2.37067 (321*2π)/9283 weeks
3223.05918 2.31601 (322*2π)/9283 weeks
3231.29473 1.61864 (323*2π)/9283 weeks
3244.00221 1.33788 (324*2π)/9283 weeks
325-2.30954 -4.79768 (325*2π)/9283 weeks
3262.26332 3.61831 (326*2π)/9283 weeks
3272.01185 4.25074 (327*2π)/9283 weeks
3284.80674 -3.07692 (328*2π)/9283 weeks
329-7.63977 8.40724 (329*2π)/9283 weeks
330.8766 -3.26111 (330*2π)/9283 weeks
331-4.45743 .01262 (331*2π)/9283 weeks
332-1.8921 -2.02348 (332*2π)/9283 weeks
3333.51536 -3.44245 (333*2π)/9283 weeks
334-.46868 -4.7728 (334*2π)/9283 weeks
335-2.88398 -.39689 (335*2π)/9283 weeks
3369.42579 -4.24089 (336*2π)/9283 weeks
337-.21267 -3.41228 (337*2π)/9283 weeks
3382.51343 .87754 (338*2π)/9283 weeks
3398.07595 .96044 (339*2π)/9283 weeks
3402.87673 -1.9789 (340*2π)/9283 weeks
341-3.46114 1.51233 (341*2π)/9283 weeks
34211.55539 1.89334 (342*2π)/9283 weeks
343.13593 -2.51905 (343*2π)/9283 weeks
344-4.3117 4.1784 (344*2π)/9283 weeks
3456.24828 -.08143 (345*2π)/9283 weeks
3465.61622 -3.83255 (346*2π)/9283 weeks
3472.74933 4.6142 (347*2π)/9283 weeks
348.8259 2.6275 (348*2π)/9283 weeks
349.25957 2.82335 (349*2π)/9283 weeks
3501.8604 -.58712 (350*2π)/9283 weeks
351-.16526 4.01971 (351*2π)/9283 weeks
3523.72093 -3.04775 (352*2π)/9283 weeks
353-1.50011 5.812 (353*2π)/9283 weeks
3543.40726 -4.77204 (354*2π)/9283 weeks
355-5.80458 2.95346 (355*2π)/9283 weeks
3564.67641 .12202 (356*2π)/9283 weeks
3572.30105 .45026 (357*2π)/9283 weeks
358-4.01261 -3.85906 (358*2π)/9283 weeks
3595.48568 .05555 (359*2π)/9283 weeks
3604.39695 -3.62716 (360*2π)/9283 weeks
361-3.93614 5.5213 (361*2π)/9283 weeks
3626.59951 -2.31863 (362*2π)/9283 weeks
3631.61249 -1.10919 (363*2π)/9283 weeks
3644.12464 -1.50563 (364*2π)/9283 weeks
3651.37834 .50967 (365*2π)/9283 weeks
3667.53973 .28895 (366*2π)/9283 weeks
367-1.40346 3.63744 (367*2π)/9283 weeks
3688.99545 2.91722 (368*2π)/9283 weeks
369.43339 1.47982 (369*2π)/9283 weeks
3702.89101 6.0633 (370*2π)/9283 weeks
3711.41993 .77956 (371*2π)/9283 weeks
372-4.35731 5.35346 (372*2π)/9282 weeks
3734.74088 1.69171 (373*2π)/9282 weeks
374-5.76362 1.83693 (374*2π)/9282 weeks
375-2.21036 3.31768 (375*2π)/9282 weeks
3763.17482 -2.84482 (376*2π)/9282 weeks
377-1.33199 -2.28527 (377*2π)/9282 weeks
3781.02777 3.08318 (378*2π)/9282 weeks
3791.24936 -.49094 (379*2π)/9282 weeks
380-2.90064 -2.0756 (380*2π)/9282 weeks
381-.72741 .73668 (381*2π)/9282 weeks
3823.08885 -4.09741 (382*2π)/9282 weeks
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780-6.68425 .16969 (780*2π)/9281 weeks
7813.37773 -4.86002 (781*2π)/9281 weeks
7821.6331 5.1065 (782*2π)/9281 weeks
78312.13498 -4.47129 (783*2π)/9281 weeks
784-17.41823 -1.05563 (784*2π)/9281 weeks
785-4.3887 .20288 (785*2π)/9281 weeks
7869.41767 -14.27521 (786*2π)/9281 weeks
787-3.60855 4.22176 (787*2π)/9281 weeks
7884.40628 4.06494 (788*2π)/9281 weeks
789-1.75987 -17.78769 (789*2π)/9281 weeks
7902.99291 -.82577 (790*2π)/9281 weeks
7914.49968 5.07535 (791*2π)/9281 weeks
79210.17358 6.12591 (792*2π)/9281 weeks
793-15.19276 5.67283 (793*2π)/9281 weeks
794-7.34133 -1.25386 (794*2π)/9281 weeks
795.10178 -5.03123 (795*2π)/9281 weeks
796-11.20618 -7.97495 (796*2π)/9281 weeks
79710.75981 -1.75728 (797*2π)/9281 weeks
798-13.2674 -12.39668 (798*2π)/9281 weeks
7997.81724 -3.96555 (799*2π)/9281 weeks
8005.21255 -1.95198 (800*2π)/9281 weeks
801-4.82526 -1.46937 (801*2π)/9281 weeks
802.53124 11.11165 (802*2π)/9281 weeks
8033.93297 -10.58996 (803*2π)/9281 weeks
804-19.71448 1.88681 (804*2π)/9281 weeks
8056.75555 1.46463 (805*2π)/9281 weeks
806-10.73553 -5.44112 (806*2π)/9281 weeks
8073.11424 -16.99086 (807*2π)/9281 weeks
808-8.80901 9.25097 (808*2π)/9281 weeks
809-3.48146 -12.36615 (809*2π)/9281 weeks
810-10.54634 -5.9204 (810*2π)/9281 weeks
8111.8329 .92068 (811*2π)/9281 weeks
8122.91005 -28.46931 (812*2π)/9281 weeks
813-10.93838 -7.19944 (813*2π)/9281 weeks
8146.61247 10.79396 (814*2π)/9281 weeks
815.35658 -11.16347 (815*2π)/9281 weeks
816-5.05791 -13.61129 (816*2π)/9281 weeks
817-2.64149 -8.24283 (817*2π)/9281 weeks
8181.1491 -12.56564 (818*2π)/9281 weeks
819-.32286 -11.64262 (819*2π)/9281 weeks
82011.22839 -2.60228 (820*2π)/9281 weeks
82120.66535 -8.52846 (821*2π)/9281 weeks
822-14.27727 3.69452 (822*2π)/9281 weeks
8231.93941 .26047 (823*2π)/9281 weeks
824-9.24289 -5.745 (824*2π)/9281 weeks
825-8.79731 -11.86214 (825*2π)/9281 weeks
8269.94148 3.30741 (826*2π)/9281 weeks
827-4.07485 -25.54551 (827*2π)/9281 weeks
828.25749 -4.7771 (828*2π)/9281 weeks
8298.04233 -12.09857 (829*2π)/9281 weeks
830-.77735 -2.51516 (830*2π)/9281 weeks
8315.06115 -2.47114 (831*2π)/9281 weeks
8323.7172 .76644 (832*2π)/9281 weeks
833-8.21954 -21.92503 (833*2π)/9281 weeks
8347.65345 2.25696 (834*2π)/9281 weeks
835-8.41557 -10.37542 (835*2π)/9281 weeks
836-3.55214 3.14719 (836*2π)/9281 weeks
8374.87534 -32.85553 (837*2π)/9281 weeks
83814.50456 -6.64844 (838*2π)/9281 weeks
839-9.80415 -1.4712 (839*2π)/9281 weeks
8409.83845 -22.70343 (840*2π)/9281 weeks
8413.23546 8.43286 (841*2π)/9281 weeks
84217.56782 -6.45601 (842*2π)/9281 weeks
8433.78706 -18.31067 (843*2π)/9281 weeks
844-3.63514 -3.92614 (844*2π)/9281 weeks
8451.9737 -7.00103 (845*2π)/9281 weeks
8469.18296 -4.02373 (846*2π)/9281 weeks
8472.14309 -5.29019 (847*2π)/9281 weeks
84822.63822 -2.53818 (848*2π)/9281 weeks
849-.35033 -15.87741 (849*2π)/9281 weeks
85013.88065 2.67212 (850*2π)/9281 weeks
851-5.63268 3.09261 (851*2π)/9281 weeks
85224.72115 .78241 (852*2π)/9281 weeks
853-8.86735 7.44545 (853*2π)/9281 weeks
8544.49094 -4.78777 (854*2π)/9281 weeks
8554.22932 7.87756 (855*2π)/9281 weeks
856-6.56358 3.45263 (856*2π)/9281 weeks
857-16.23257 10.35679 (857*2π)/9281 weeks
858-9.25059 -19.78037 (858*2π)/9281 weeks
8591.11841 -.43991 (859*2π)/9281 weeks
860-4.64828 -37.54895 (860*2π)/9281 weeks
8615.54309 5.05079 (861*2π)/9281 weeks
8628.16332 8.53481 (862*2π)/9281 weeks
8631.73724 -19.95591 (863*2π)/9281 weeks
864.5987 3.82705 (864*2π)/9281 weeks
8653.9307 -6.0685 (865*2π)/9281 weeks
8665.33713 -6.58101 (866*2π)/9281 weeks
867-28.88293 30.20603 (867*2π)/9281 weeks
868-2.89981 -11.68948 (868*2π)/9281 weeks
869-5.01032 -13.70027 (869*2π)/9281 weeks
870-23.957 -8.85945 (870*2π)/9281 weeks
8712.53683 -22.12726 (871*2π)/9281 weeks
872-19.06601 -37.98602 (872*2π)/9281 weeks
8731.85541 15.37403 (873*2π)/9281 weeks
874-.63394 -38.15267 (874*2π)/9281 weeks
87515.40436 -24.07942 (875*2π)/9281 weeks
876-5.22375 -9.15841 (876*2π)/9281 weeks
87740.49459 -11.37245 (877*2π)/9281 weeks
878-15.53799 -16.05588 (878*2π)/9281 weeks
879-.92657 15.2178 (879*2π)/9281 weeks
88034.18181 -37.89385 (880*2π)/9281 weeks
881-22.14011 20.39849 (881*2π)/9281 weeks
88213.61768 6.7694 (882*2π)/9281 weeks
88315.65862 -.02683 (883*2π)/9281 weeks
884-21.59285 -34.68267 (884*2π)/9281 weeks
885-20.89662 30.45513 (885*2π)/9281 weeks
886.06866 -26.59011 (886*2π)/9281 weeks
887-7.33586 -10.33774 (887*2π)/9281 weeks
888-28.6191 -11.77132 (888*2π)/9281 weeks
8898.00627 -33.43424 (889*2π)/9281 weeks
89016.06565 -8.55527 (890*2π)/9281 weeks
891-2.67375 -1.29896 (891*2π)/9281 weeks
892-16.48994 -10.79837 (892*2π)/9281 weeks
893-11.02257 13.38806 (893*2π)/9281 weeks
89414.78495 -52.71584 (894*2π)/9281 weeks
895-54.47164 -12.18441 (895*2π)/9281 weeks
896-39.38508 -37.64843 (896*2π)/9281 weeks
89767.70341 -21.63159 (897*2π)/9281 weeks
898-29.03998 -59.94708 (898*2π)/9281 weeks
89916.08535 28.19013 (899*2π)/9281 weeks
9005.56988 -25.65344 (900*2π)/9281 weeks
901-10.33929 -40.40014 (901*2π)/9281 weeks
902-14.5423 -28.22636 (902*2π)/9281 weeks
90368.20327 -32.78507 (903*2π)/9281 weeks
904-89.13545 1.71826 (904*2π)/9281 weeks
90521.85521 .23051 (905*2π)/9281 weeks
90641.37048 -10.65681 (906*2π)/9281 weeks
9075.61352 -54.56416 (907*2π)/9281 weeks
908-121.4169 40.25835 (908*2π)/9281 weeks
90941.27864 -100.1781 (909*2π)/9281 weeks
910-138.6036 -110.7289 (910*2π)/9281 weeks
91168.07687 -52.74831 (911*2π)/9281 weeks
91233.09093 19.91311 (912*2π)/9281 weeks
91373.79597 -188.4366 (913*2π)/9281 weeks
91420.22705 69.1166 (914*2π)/9281 weeks
915-17.49358 -146.4871 (915*2π)/9281 weeks
916-9.61575 81.40608 (916*2π)/9281 weeks
91732.97107 -101.6797 (917*2π)/9281 weeks
918-30.53147 33.76877 (918*2π)/9281 weeks
919107.7803 -133.9747 (919*2π)/9281 weeks
920-126.7339 -87.41686 (920*2π)/9281 weeks
921-101.2579 -88.66055 (921*2π)/9281 weeks
92231.29982 78.49887 (922*2π)/9281 weeks
923181.0647 -354.0006 (923*2π)/9281 weeks
924-226.0992 -8.61294 (924*2π)/9281 weeks
925333.0763 -500.9061 (925*2π)/9281 weeks
926-254.8519 -250.3978 (926*2π)/9281 weeks



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