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Fourier Analysis of SPEX (Spherix Inc)


SPEX (Spherix Inc) appears to have interesting cyclic behaviour every 77 weeks (1387.333*sine), 62 weeks (1327.166*sine), and 71 weeks (1295.008*sine).

SPEX (Spherix Inc) has an average price of 9,476.28 (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 9/5/2017 for SPEX (Spherix Inc), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
09,476.281   0 
15,820.981 10,992.44 (1*2π)/923923 weeks
2-50.23826 7,165.521 (2*2π)/923462 weeks
3-1,437.896 2,434.836 (3*2π)/923308 weeks
4-193.2684 1,527.553 (4*2π)/923231 weeks
51,260.592 1,839.753 (5*2π)/923185 weeks
6-1,245.984 1,998.268 (6*2π)/923154 weeks
7-224.6954 289.3843 (7*2π)/923132 weeks
8118.3378 -262.0948 (8*2π)/923115 weeks
91,523.205 314.7997 (9*2π)/923103 weeks
101,029.246 1,031.677 (10*2π)/92392 weeks
11945.5071 1,053.872 (11*2π)/92384 weeks
12706.4105 1,387.333 (12*2π)/92377 weeks
13259.0974 1,295.008 (13*2π)/92371 weeks
14275.6956 831.7214 (14*2π)/92366 weeks
15224.8463 1,327.166 (15*2π)/92362 weeks
16-126.1393 406.0215 (16*2π)/92358 weeks
17668.6837 822.0532 (17*2π)/92354 weeks
18248.7136 1,129.05 (18*2π)/92351 weeks
19-184.8228 866.9243 (19*2π)/92349 weeks
20220.7174 673.3668 (20*2π)/92346 weeks
21-149.44 897.7324 (21*2π)/92344 weeks
22-305.1496 457.5906 (22*2π)/92342 weeks
23123.8657 -2.23632 (23*2π)/92340 weeks
24611.2714 360.8895 (24*2π)/92338 weeks
25659.1138 741.6405 (25*2π)/92337 weeks
26367.8766 1,125.406 (26*2π)/92336 weeks
27-118.8733 1,081.678 (27*2π)/92334 weeks
28-153.8822 686.3654 (28*2π)/92333 weeks
29-76.73143 715.7786 (29*2π)/92332 weeks
30-97.6093 714.2789 (30*2π)/92331 weeks
31-157.6722 703.868 (31*2π)/92330 weeks
32-336.8343 692.5989 (32*2π)/92329 weeks
33-341.9724 487.9242 (33*2π)/92328 weeks
34-366.7206 350.096 (34*2π)/92327 weeks
35-282.7146 238.6586 (35*2π)/92326 weeks
363.02281 103.3525 (36*2π)/92326 weeks
37-20.95025 370.4607 (37*2π)/92325 weeks
38194.8304 403.0649 (38*2π)/92324 weeks
39-251.765 750.204 (39*2π)/92324 weeks
40-425.9757 343.3776 (40*2π)/92323 weeks
41-243.8765 88.75309 (41*2π)/92323 weeks
42-192.206 293.7378 (42*2π)/92322 weeks
43-128.9386 18.4436 (43*2π)/92321 weeks
44-8.69394 167.4769 (44*2π)/92321 weeks
4533.13469 272.062 (45*2π)/92321 weeks
46-115.6763 174.6221 (46*2π)/92320 weeks
4770.58169 205.9104 (47*2π)/92320 weeks
4877.28657 338.4886 (48*2π)/92319 weeks
49-117.1417 368.2213 (49*2π)/92319 weeks
50-91.55772 294.8487 (50*2π)/92318 weeks
51-146.6707 334.5426 (51*2π)/92318 weeks
52-267.0189 127.3019 (52*2π)/92318 weeks
5343.66394 134.5467 (53*2π)/92317 weeks
54-111.7 244.5532 (54*2π)/92317 weeks
55-110.4853 136.0226 (55*2π)/92317 weeks
5679.80625 104.4807 (56*2π)/92316 weeks
5758.17619 317.6975 (57*2π)/92316 weeks
58-31.18753 333.2534 (58*2π)/92316 weeks
59-72.39045 375.374 (59*2π)/92316 weeks
60-274.8824 383.4425 (60*2π)/92315 weeks
61-277.7153 155.9026 (61*2π)/92315 weeks
62-212.2172 100.6628 (62*2π)/92315 weeks
63-144.1491 148.8489 (63*2π)/92315 weeks
64-193.3975 21.44509 (64*2π)/92314 weeks
65-22.651 77.32786 (65*2π)/92314 weeks
66-16.61374 163.5058 (66*2π)/92314 weeks
67-129.2244 195.3885 (67*2π)/92314 weeks
68-112.6166 190.2256 (68*2π)/92314 weeks
69-208.9074 142.0766 (69*2π)/92313 weeks
70-155.3174 70.66071 (70*2π)/92313 weeks
71-111.342 124.8001 (71*2π)/92313 weeks
72-230.6848 103.1523 (72*2π)/92313 weeks
73-180.6456 -.04805 (73*2π)/92313 weeks
74-143.0407 44.57351 (74*2π)/92312 weeks
75-279.8755 -61.83642 (75*2π)/92312 weeks
76-62.38998 -260.5782 (76*2π)/92312 weeks
77157.1349 -123.0547 (77*2π)/92312 weeks
78108.375 96.20124 (78*2π)/92312 weeks
7925.91117 23.71705 (79*2π)/92312 weeks
8068.5905 106.5144 (80*2π)/92312 weeks
81-20.06964 94.92477 (81*2π)/92311 weeks
8222.97747 54.35044 (82*2π)/92311 weeks
8346.38828 130.8902 (83*2π)/92311 weeks
84-90.03886 163.6519 (84*2π)/92311 weeks
85-103.4147 9.65709 (85*2π)/92311 weeks
8628.30264 -9.54449 (86*2π)/92311 weeks
8728.91456 102.1789 (87*2π)/92311 weeks
88-4.518 72.09011 (88*2π)/92310 weeks
89-32.46847 113.8987 (89*2π)/92310 weeks
90-62.68866 40.29126 (90*2π)/92310 weeks
9134.30244 -.99831 (91*2π)/92310 weeks
9256.11786 136.0023 (92*2π)/92310 weeks
93-67.29338 138.5363 (93*2π)/92310 weeks
94-81.89304 26.99284 (94*2π)/92310 weeks
9532.51482 28.94605 (95*2π)/92310 weeks
9614.26446 127.4241 (96*2π)/92310 weeks
97-88.11896 116.8197 (97*2π)/92310 weeks
98-73.24839 37.89466 (98*2π)/9239 weeks
99-46.0853 37.21473 (99*2π)/9239 weeks
100-66.31309 36.39123 (100*2π)/9239 weeks
101-21.14248 8.63748 (101*2π)/9239 weeks
102-64.14713 20.93292 (102*2π)/9239 weeks
103-26.89594 -26.30349 (103*2π)/9239 weeks
10421.61638 -39.66396 (104*2π)/9239 weeks
10520.05773 -11.99346 (105*2π)/9239 weeks
106116.2701 -21.47625 (106*2π)/9239 weeks
107116.5116 93.24893 (107*2π)/9239 weeks
1083.76235 153.2015 (108*2π)/9239 weeks
10912.88303 19.4661 (109*2π)/9238 weeks
11061.76894 135.5858 (110*2π)/9238 weeks
111-44.12729 127.9763 (111*2π)/9238 weeks
112-55.81812 43.47973 (112*2π)/9238 weeks
11317.4014 63.36024 (113*2π)/9238 weeks
114-34.52094 82.57837 (114*2π)/9238 weeks
115-53.86395 34.79813 (115*2π)/9238 weeks
11628.24341 21.31227 (116*2π)/9238 weeks
117-17.99706 44.89072 (117*2π)/9238 weeks
11879.53897 68.70811 (118*2π)/9238 weeks
119-37.81447 116.8554 (119*2π)/9238 weeks
120-30.73283 93.49014 (120*2π)/9238 weeks
121-54.75137 27.20844 (121*2π)/9238 weeks
12230.84008 70.49951 (122*2π)/9238 weeks
123-45.73183 90.2204 (123*2π)/9238 weeks
124-23.32446 85.50037 (124*2π)/9237 weeks
125-42.3579 124.3392 (125*2π)/9237 weeks
126-195.0022 113.7322 (126*2π)/9237 weeks
127-135.0479 -82.87814 (127*2π)/9237 weeks
128-63.37204 -61.82649 (128*2π)/9237 weeks
12918.95856 -49.33126 (129*2π)/9237 weeks
13026.01763 7.3941 (130*2π)/9237 weeks
131-21.60747 76.81792 (131*2π)/9237 weeks
132-83.80233 12.95585 (132*2π)/9237 weeks
133-67.33078 -24.28395 (133*2π)/9237 weeks
134-24.27669 -55.09313 (134*2π)/9237 weeks
135-9.66193 -30.06392 (135*2π)/9237 weeks
13651.91292 -27.46281 (136*2π)/9237 weeks
137-28.04483 87.17634 (137*2π)/9237 weeks
138-89.95951 -17.37107 (138*2π)/9237 weeks
139-75.04913 -86.44936 (139*2π)/9237 weeks
14035.82028 -82.81576 (140*2π)/9237 weeks
1416.50434 -55.04939 (141*2π)/9237 weeks
14231.5529 -43.91623 (142*2π)/9237 weeks
14335.31241 -80.69028 (143*2π)/9236 weeks
14475.06118 -32.07353 (144*2π)/9236 weeks
145102.3026 -32.95949 (145*2π)/9236 weeks
14683.36234 65.12064 (146*2π)/9236 weeks
1471.55067 62.24427 (147*2π)/9236 weeks
148-42.53465 -6.69871 (148*2π)/9236 weeks
14914.45269 -47.60075 (149*2π)/9236 weeks
15014.13015 -62.61815 (150*2π)/9236 weeks
151128.0092 -43.38757 (151*2π)/9236 weeks
15257.09612 49.28449 (152*2π)/9236 weeks
15311.30573 41.36522 (153*2π)/9236 weeks
154-4.89827 -67.38903 (154*2π)/9236 weeks
15592.6769 -18.17298 (155*2π)/9236 weeks
15657.17706 8.76945 (156*2π)/9236 weeks
15731.71593 .72032 (157*2π)/9236 weeks
15869.50095 -26.80289 (158*2π)/9236 weeks
15943.47002 27.49205 (159*2π)/9236 weeks
16032.0407 -47.35114 (160*2π)/9236 weeks
16184.89368 -47.2134 (161*2π)/9236 weeks
162129.957 -28.61035 (162*2π)/9236 weeks
163144.0235 17.09073 (163*2π)/9236 weeks
164137.1024 81.18721 (164*2π)/9236 weeks
16575.87354 98.1467 (165*2π)/9236 weeks
16637.45205 67.93402 (166*2π)/9236 weeks
16747.69231 46.12117 (167*2π)/9236 weeks
16864.41263 40.96073 (168*2π)/9235 weeks
16979.07479 41.03508 (169*2π)/9235 weeks
17084.75787 111.2675 (170*2π)/9235 weeks
17113.19404 82.98186 (171*2π)/9235 weeks
17219.74442 69.40466 (172*2π)/9235 weeks
17337.44017 52.9423 (173*2π)/9235 weeks
17419.10837 49.34427 (174*2π)/9235 weeks
17585.09223 48.22174 (175*2π)/9235 weeks
17699.35393 152.4296 (176*2π)/9235 weeks
177-75.86604 232.883 (177*2π)/9235 weeks
178-152.7329 37.10286 (178*2π)/9235 weeks
179-62.92287 -1.3806 (179*2π)/9235 weeks
180-50.55595 .28232 (180*2π)/9235 weeks
181-22.3009 -18.06562 (181*2π)/9235 weeks
182-23.59765 .68412 (182*2π)/9235 weeks
183-30.61414 -12.23241 (183*2π)/9235 weeks
184.45003 -70.26819 (184*2π)/9235 weeks
18554.11968 10.4085 (185*2π)/9235 weeks
186-2.36468 11.56275 (186*2π)/9235 weeks
187-11.06293 -38.34859 (187*2π)/9235 weeks
18875.42506 -16.86942 (188*2π)/9235 weeks
18934.88759 52.07769 (189*2π)/9235 weeks
190-28.63199 36.85617 (190*2π)/9235 weeks
191-26.05195 9.09947 (191*2π)/9235 weeks
192-68.67139 -39.51041 (192*2π)/9235 weeks
193-3.54689 -87.68041 (193*2π)/9235 weeks
19438.43517 -72.78165 (194*2π)/9235 weeks
19517.61692 -72.45277 (195*2π)/9235 weeks
196120.9089 -100.5214 (196*2π)/9235 weeks
197116.7694 30.01274 (197*2π)/9235 weeks
19820.37914 27.52871 (198*2π)/9235 weeks
19935.72287 -43.0908 (199*2π)/9235 weeks
20043.21558 -52.41624 (200*2π)/9235 weeks
201127.1737 -35.30713 (201*2π)/9235 weeks
20291.59692 -.34915 (202*2π)/9235 weeks
20390.91865 75.02744 (203*2π)/9235 weeks
204-3.81633 -15.25899 (204*2π)/9235 weeks
20580.56778 -19.10608 (205*2π)/9235 weeks
20666.33774 16.07025 (206*2π)/9234 weeks
20731.10456 -7.75423 (207*2π)/9234 weeks
20878.4857 -42.62755 (208*2π)/9234 weeks
20990.00111 3.34209 (209*2π)/9234 weeks
21078.01968 -7.046 (210*2π)/9234 weeks
21171.75528 -13.45193 (211*2π)/9234 weeks
212137.884 -38.6966 (212*2π)/9234 weeks
213163.3882 45.37741 (213*2π)/9234 weeks
214123.4064 98.39989 (214*2π)/9234 weeks
21570.64787 122.7856 (215*2π)/9234 weeks
2166.04899 73.92538 (216*2π)/9234 weeks
21739.95006 75.76945 (217*2π)/9234 weeks
218-49.56574 58.98967 (218*2π)/9234 weeks
219-34.60087 -28.32904 (219*2π)/9234 weeks
22027.62208 -94.69645 (220*2π)/9234 weeks
22198.73911 -34.88189 (221*2π)/9234 weeks
222100.4917 -42.81287 (222*2π)/9234 weeks
223102.5013 -.28647 (223*2π)/9234 weeks
224164.2961 -25.78107 (224*2π)/9234 weeks
225138.0893 65.16741 (225*2π)/9234 weeks
226155.7537 92.4622 (226*2π)/9234 weeks
22751.48598 100.6202 (227*2π)/9234 weeks
22899.24731 98.60941 (228*2π)/9234 weeks
22932.87593 103.5672 (229*2π)/9234 weeks
230-4.05303 114.5521 (230*2π)/9234 weeks
231-54.8965 6.92596 (231*2π)/9234 weeks
23244.80864 -72.87723 (232*2π)/9234 weeks
233144.9966 15.63864 (233*2π)/9234 weeks
23483.13293 83.02614 (234*2π)/9234 weeks
23549.40108 57.41623 (235*2π)/9234 weeks
23654.80475 42.00842 (236*2π)/9234 weeks
23780.81838 63.13138 (237*2π)/9234 weeks
23829.07644 66.33805 (238*2π)/9234 weeks
23948.66607 62.75888 (239*2π)/9234 weeks
24011.6325 27.3488 (240*2π)/9234 weeks
24156.92558 38.31731 (241*2π)/9234 weeks
24243.42565 26.72971 (242*2π)/9234 weeks
24344.81525 21.79591 (243*2π)/9234 weeks
24490.23026 21.23933 (244*2π)/9234 weeks
24570.01768 46.90402 (245*2π)/9234 weeks
24695.8058 59.85136 (246*2π)/9234 weeks
24767.50891 83.20152 (247*2π)/9234 weeks
24853.47092 95.75507 (248*2π)/9234 weeks
249-3.58323 94.15861 (249*2π)/9234 weeks
250.3577 7.19645 (250*2π)/9234 weeks
25157.21335 24.34056 (251*2π)/9234 weeks
25257.18445 23.71584 (252*2π)/9234 weeks
25389.91514 36.61545 (253*2π)/9234 weeks
25476.54447 97.04545 (254*2π)/9234 weeks
25539.53377 55.06002 (255*2π)/9234 weeks
25658.52712 82.98569 (256*2π)/9234 weeks
25750.19599 68.15353 (257*2π)/9234 weeks
25831.88718 92.07732 (258*2π)/9234 weeks
25927.0224 78.03096 (259*2π)/9234 weeks
260-.35263 51.67709 (260*2π)/9234 weeks
26135.58096 43.66971 (261*2π)/9234 weeks
26244.52525 41.16642 (262*2π)/9234 weeks
26345.09087 62.27404 (263*2π)/9234 weeks
26447.98203 37.66531 (264*2π)/9233 weeks
26596.86969 63.26031 (265*2π)/9233 weeks
26667.17713 126.8969 (266*2π)/9233 weeks
26739.15137 116.6485 (267*2π)/9233 weeks
26826.09554 143.0662 (268*2π)/9233 weeks
269-34.77126 148.3954 (269*2π)/9233 weeks
270-90.69685 92.5054 (270*2π)/9233 weeks
271-45.02106 25.31748 (271*2π)/9233 weeks
272-36.32259 22.46634 (272*2π)/9233 weeks
27310.06919 20.08055 (273*2π)/9233 weeks
2749.86802 29.70655 (274*2π)/9233 weeks
27513.59911 56.05512 (275*2π)/9233 weeks
2762.19926 36.42337 (276*2π)/9233 weeks
27737.08388 56.74862 (277*2π)/9233 weeks
278-15.62674 92.37949 (278*2π)/9233 weeks
279-39.08941 62.40312 (279*2π)/9233 weeks
280-42.24975 7.19883 (280*2π)/9233 weeks
2817.91777 26.81625 (281*2π)/9233 weeks
282-15.49267 34.88241 (282*2π)/9233 weeks
283-19.27742 .24285 (283*2π)/9233 weeks
28423.85979 13.74033 (284*2π)/9233 weeks
28518.05267 28.37204 (285*2π)/9233 weeks
28619.56866 31.70975 (286*2π)/9233 weeks
2875.67393 64.86964 (287*2π)/9233 weeks
288-16.24134 31.33095 (288*2π)/9233 weeks
289-21.32163 45.53789 (289*2π)/9233 weeks
290-41.89024 14.6502 (290*2π)/9233 weeks
291-48.07169 -42.25568 (291*2π)/9233 weeks
29242.44731 -70.76527 (292*2π)/9233 weeks
293102.8863 -36.95782 (293*2π)/9233 weeks
294123.7178 85.31018 (294*2π)/9233 weeks
29522.64044 101.6594 (295*2π)/9233 weeks
296-17.31129 84.56424 (296*2π)/9233 weeks
297-20.37602 31.55851 (297*2π)/9233 weeks
29810.25827 20.20458 (298*2π)/9233 weeks
2994.23684 87.55898 (299*2π)/9233 weeks
300-78.35351 16.02101 (300*2π)/9233 weeks
301-19.39214 -34.38934 (301*2π)/9233 weeks
30223.62153 -29.0521 (302*2π)/9233 weeks
30339.00471 -18.01477 (303*2π)/9233 weeks
30469.33451 11.95908 (304*2π)/9233 weeks
30537.48952 37.28633 (305*2π)/9233 weeks
30659.45024 24.13178 (306*2π)/9233 weeks
30744.27431 76.05071 (307*2π)/9233 weeks
3083.29 65.122 (308*2π)/9233 weeks
309.27993 27.56766 (309*2π)/9233 weeks
31033.23959 56.26124 (310*2π)/9233 weeks
311-24.5137 58.36832 (311*2π)/9233 weeks
312-18.21518 -3.01075 (312*2π)/9233 weeks
31346.6787 9.39411 (313*2π)/9233 weeks
31432.53932 48.89286 (314*2π)/9233 weeks
315-2.64663 53.83371 (315*2π)/9233 weeks
31619.55124 11.9798 (316*2π)/9233 weeks
31733.68362 29.18252 (317*2π)/9233 weeks
31852.67042 78.4266 (318*2π)/9233 weeks
3194.65854 72.93559 (319*2π)/9233 weeks
320-20.03393 86.14144 (320*2π)/9233 weeks
321-7.60373 42.77011 (321*2π)/9233 weeks
322-25.47721 62.02766 (322*2π)/9233 weeks
323-15.31465 53.35159 (323*2π)/9233 weeks
324-29.38825 42.75333 (324*2π)/9233 weeks
325-10.63794 55.01723 (325*2π)/9233 weeks
326-54.32009 63.41238 (326*2π)/9233 weeks
327-46.96432 41.57323 (327*2π)/9233 weeks
328-74.32675 12.99446 (328*2π)/9233 weeks
329-46.26315 27.71052 (329*2π)/9233 weeks
330-64.33134 -30.6578 (330*2π)/9233 weeks
331-37.61366 .511 (331*2π)/9233 weeks
332-20.90131 -22.17624 (332*2π)/9233 weeks
333-58.9262 -14.37962 (333*2π)/9233 weeks
334-10.20546 -54.03176 (334*2π)/9233 weeks
33511.90123 -48.80342 (335*2π)/9233 weeks
33635.17114 5.30897 (336*2π)/9233 weeks
33713.85455 -3.00155 (337*2π)/9233 weeks
338-2.32819 32.74933 (338*2π)/9233 weeks
339-16.8212 2.43469 (339*2π)/9233 weeks
340-22.78072 -1.92868 (340*2π)/9233 weeks
341-18.74947 -.36824 (341*2π)/9233 weeks
342-27.83647 -39.86589 (342*2π)/9233 weeks
34312.29489 -27.43725 (343*2π)/9233 weeks
3447.80982 -4.06392 (344*2π)/9233 weeks
345-28.91958 -15.57833 (345*2π)/9233 weeks
346-13.42479 -64.69894 (346*2π)/9233 weeks
34739.54476 -66.19743 (347*2π)/9233 weeks
34870.35838 -47.85782 (348*2π)/9233 weeks
34984.62828 13.05014 (349*2π)/9233 weeks
35061.99829 37.55748 (350*2π)/9233 weeks
3511.73871 52.09941 (351*2π)/9233 weeks
35210.97649 11.01699 (352*2π)/9233 weeks
3535.49372 20.41307 (353*2π)/9233 weeks
354-3.28192 11.06482 (354*2π)/9233 weeks
35518.04104 -10.71541 (355*2π)/9233 weeks
35628.78745 39.64968 (356*2π)/9233 weeks
357-41.06479 28.81665 (357*2π)/9233 weeks
358-15.74275 -30.11185 (358*2π)/9233 weeks
35916.43051 -19.57417 (359*2π)/9233 weeks
36010.73575 -1.10783 (360*2π)/9233 weeks
36120.90049 -17.07043 (361*2π)/9233 weeks
36220.0943 13.67577 (362*2π)/9233 weeks
363.72469 -12.65196 (363*2π)/9233 weeks
36451.92235 -14.27868 (364*2π)/9233 weeks
36538.08911 45.68813 (365*2π)/9233 weeks
366-1.61256 43.57264 (366*2π)/9233 weeks
367-23.85596 38.51892 (367*2π)/9233 weeks
368-58.75369 -8.18774 (368*2π)/9233 weeks
369-4.63489 -57.95398 (369*2π)/9233 weeks
37056.47827 -13.18758 (370*2π)/9232 weeks
371-8.93743 39.39968 (371*2π)/9232 weeks
372-.32306 -18.29879 (372*2π)/9232 weeks
373-7.43443 2.52013 (373*2π)/9232 weeks
374-5.51195 5.0442 (374*2π)/9232 weeks
375-23.06474 -53.84129 (375*2π)/9232 weeks
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760144.0235 -17.09073 (760*2π)/9231 weeks
761129.957 28.61035 (761*2π)/9231 weeks
76284.89368 47.2134 (762*2π)/9231 weeks
76332.0407 47.35114 (763*2π)/9231 weeks
76443.47002 -27.49205 (764*2π)/9231 weeks
76569.50095 26.80289 (765*2π)/9231 weeks
76631.71593 -.72032 (766*2π)/9231 weeks
76757.17706 -8.76945 (767*2π)/9231 weeks
76892.6769 18.17298 (768*2π)/9231 weeks
769-4.89827 67.38903 (769*2π)/9231 weeks
77011.30573 -41.36522 (770*2π)/9231 weeks
77157.09612 -49.28449 (771*2π)/9231 weeks
772128.0092 43.38757 (772*2π)/9231 weeks
77314.13015 62.61815 (773*2π)/9231 weeks
77414.45269 47.60075 (774*2π)/9231 weeks
775-42.53465 6.69871 (775*2π)/9231 weeks
7761.55067 -62.24427 (776*2π)/9231 weeks
77783.36234 -65.12064 (777*2π)/9231 weeks
778102.3026 32.95949 (778*2π)/9231 weeks
77975.06118 32.07353 (779*2π)/9231 weeks
78035.31241 80.69028 (780*2π)/9231 weeks
78131.5529 43.91623 (781*2π)/9231 weeks
7826.50434 55.04939 (782*2π)/9231 weeks
78335.82028 82.81576 (783*2π)/9231 weeks
784-75.04913 86.44936 (784*2π)/9231 weeks
785-89.95951 17.37107 (785*2π)/9231 weeks
786-28.04483 -87.17634 (786*2π)/9231 weeks
78751.91292 27.46281 (787*2π)/9231 weeks
788-9.66193 30.06392 (788*2π)/9231 weeks
789-24.27669 55.09313 (789*2π)/9231 weeks
790-67.33078 24.28395 (790*2π)/9231 weeks
791-83.80233 -12.95585 (791*2π)/9231 weeks
792-21.60747 -76.81792 (792*2π)/9231 weeks
79326.01763 -7.3941 (793*2π)/9231 weeks
79418.95856 49.33126 (794*2π)/9231 weeks
795-63.37204 61.82649 (795*2π)/9231 weeks
796-135.0479 82.87814 (796*2π)/9231 weeks
797-195.0022 -113.7322 (797*2π)/9231 weeks
798-42.3579 -124.3392 (798*2π)/9231 weeks
799-23.32446 -85.50037 (799*2π)/9231 weeks
800-45.73183 -90.2204 (800*2π)/9231 weeks
80130.84008 -70.49951 (801*2π)/9231 weeks
802-54.75137 -27.20844 (802*2π)/9231 weeks
803-30.73283 -93.49014 (803*2π)/9231 weeks
804-37.81447 -116.8554 (804*2π)/9231 weeks
80579.53897 -68.70811 (805*2π)/9231 weeks
806-17.99706 -44.89072 (806*2π)/9231 weeks
80728.24341 -21.31227 (807*2π)/9231 weeks
808-53.86395 -34.79813 (808*2π)/9231 weeks
809-34.52094 -82.57837 (809*2π)/9231 weeks
81017.4014 -63.36024 (810*2π)/9231 weeks
811-55.81812 -43.47973 (811*2π)/9231 weeks
812-44.12729 -127.9763 (812*2π)/9231 weeks
81361.76894 -135.5858 (813*2π)/9231 weeks
81412.88303 -19.4661 (814*2π)/9231 weeks
8153.76235 -153.2015 (815*2π)/9231 weeks
816116.5116 -93.24893 (816*2π)/9231 weeks
817116.2701 21.47625 (817*2π)/9231 weeks
81820.05773 11.99346 (818*2π)/9231 weeks
81921.61638 39.66396 (819*2π)/9231 weeks
820-26.89594 26.30349 (820*2π)/9231 weeks
821-64.14713 -20.93292 (821*2π)/9231 weeks
822-21.14248 -8.63748 (822*2π)/9231 weeks
823-66.31309 -36.39123 (823*2π)/9231 weeks
824-46.0853 -37.21473 (824*2π)/9231 weeks
825-73.24839 -37.89466 (825*2π)/9231 weeks
826-88.11896 -116.8197 (826*2π)/9231 weeks
82714.26446 -127.4241 (827*2π)/9231 weeks
82832.51482 -28.94605 (828*2π)/9231 weeks
829-81.89304 -26.99284 (829*2π)/9231 weeks
830-67.29338 -138.5363 (830*2π)/9231 weeks
83156.11786 -136.0023 (831*2π)/9231 weeks
83234.30244 .99831 (832*2π)/9231 weeks
833-62.68866 -40.29126 (833*2π)/9231 weeks
834-32.46847 -113.8987 (834*2π)/9231 weeks
835-4.518 -72.09011 (835*2π)/9231 weeks
83628.91456 -102.1789 (836*2π)/9231 weeks
83728.30264 9.54449 (837*2π)/9231 weeks
838-103.4147 -9.65709 (838*2π)/9231 weeks
839-90.03886 -163.6519 (839*2π)/9231 weeks
84046.38828 -130.8902 (840*2π)/9231 weeks
84122.97747 -54.35044 (841*2π)/9231 weeks
842-20.06964 -94.92477 (842*2π)/9231 weeks
84368.5905 -106.5144 (843*2π)/9231 weeks
84425.91117 -23.71705 (844*2π)/9231 weeks
845108.375 -96.20124 (845*2π)/9231 weeks
846157.1349 123.0547 (846*2π)/9231 weeks
847-62.38998 260.5782 (847*2π)/9231 weeks
848-279.8755 61.83642 (848*2π)/9231 weeks
849-143.0407 -44.57351 (849*2π)/9231 weeks
850-180.6456 .04805 (850*2π)/9231 weeks
851-230.6848 -103.1523 (851*2π)/9231 weeks
852-111.342 -124.8001 (852*2π)/9231 weeks
853-155.3174 -70.66071 (853*2π)/9231 weeks
854-208.9074 -142.0766 (854*2π)/9231 weeks
855-112.6166 -190.2256 (855*2π)/9231 weeks
856-129.2244 -195.3885 (856*2π)/9231 weeks
857-16.61374 -163.5058 (857*2π)/9231 weeks
858-22.651 -77.32786 (858*2π)/9231 weeks
859-193.3975 -21.44509 (859*2π)/9231 weeks
860-144.1491 -148.8489 (860*2π)/9231 weeks
861-212.2172 -100.6628 (861*2π)/9231 weeks
862-277.7153 -155.9026 (862*2π)/9231 weeks
863-274.8824 -383.4425 (863*2π)/9231 weeks
864-72.39045 -375.374 (864*2π)/9231 weeks
865-31.18753 -333.2534 (865*2π)/9231 weeks
86658.17619 -317.6975 (866*2π)/9231 weeks
86779.80625 -104.4807 (867*2π)/9231 weeks
868-110.4853 -136.0226 (868*2π)/9231 weeks
869-111.7 -244.5532 (869*2π)/9231 weeks
87043.66394 -134.5467 (870*2π)/9231 weeks
871-267.0189 -127.3019 (871*2π)/9231 weeks
872-146.6707 -334.5426 (872*2π)/9231 weeks
873-91.55772 -294.8487 (873*2π)/9231 weeks
874-117.1417 -368.2213 (874*2π)/9231 weeks
87577.28657 -338.4886 (875*2π)/9231 weeks
87670.58169 -205.9104 (876*2π)/9231 weeks
877-115.6763 -174.6221 (877*2π)/9231 weeks
87833.13469 -272.062 (878*2π)/9231 weeks
879-8.69394 -167.4769 (879*2π)/9231 weeks
880-128.9386 -18.4436 (880*2π)/9231 weeks
881-192.206 -293.7378 (881*2π)/9231 weeks
882-243.8765 -88.75309 (882*2π)/9231 weeks
883-425.9757 -343.3776 (883*2π)/9231 weeks
884-251.765 -750.204 (884*2π)/9231 weeks
885194.8304 -403.0649 (885*2π)/9231 weeks
886-20.95025 -370.4607 (886*2π)/9231 weeks
8873.02281 -103.3525 (887*2π)/9231 weeks
888-282.7146 -238.6586 (888*2π)/9231 weeks
889-366.7206 -350.096 (889*2π)/9231 weeks
890-341.9724 -487.9242 (890*2π)/9231 weeks
891-336.8343 -692.5989 (891*2π)/9231 weeks
892-157.6722 -703.868 (892*2π)/9231 weeks
893-97.6093 -714.2789 (893*2π)/9231 weeks
894-76.73143 -715.7786 (894*2π)/9231 weeks
895-153.8822 -686.3654 (895*2π)/9231 weeks
896-118.8733 -1,081.678 (896*2π)/9231 weeks
897367.8766 -1,125.406 (897*2π)/9231 weeks
898659.1138 -741.6405 (898*2π)/9231 weeks
899611.2714 -360.8895 (899*2π)/9231 weeks
900123.8657 2.23632 (900*2π)/9231 weeks
901-305.1496 -457.5906 (901*2π)/9231 weeks
902-149.44 -897.7324 (902*2π)/9231 weeks
903220.7174 -673.3668 (903*2π)/9231 weeks
904-184.8228 -866.9243 (904*2π)/9231 weeks
905248.7136 -1,129.05 (905*2π)/9231 weeks
906668.6837 -822.0532 (906*2π)/9231 weeks
907-126.1393 -406.0215 (907*2π)/9231 weeks
908224.8463 -1,327.166 (908*2π)/9231 weeks
909275.6956 -831.7214 (909*2π)/9231 weeks
910259.0974 -1,295.008 (910*2π)/9231 weeks
911706.4105 -1,387.333 (911*2π)/9231 weeks
912945.5071 -1,053.872 (912*2π)/9231 weeks
9131,029.246 -1,031.677 (913*2π)/9231 weeks
9141,523.205 -314.7997 (914*2π)/9231 weeks
915118.3378 262.0948 (915*2π)/9231 weeks
916-224.6954 -289.3843 (916*2π)/9231 weeks
917-1,245.984 -1,998.268 (917*2π)/9231 weeks
9181,260.592 -1,839.753 (918*2π)/9231 weeks
919-193.2684 -1,527.553 (919*2π)/9231 weeks
920-1,437.896 -2,434.836 (920*2π)/9231 weeks
921-50.23826 -7,165.521 (921*2π)/9231 weeks



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