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Fourier Analysis of BOSC (BOS Better OnLine Sol (USA))


BOSC (BOS Better OnLine Sol (USA)) appears to have interesting cyclic behaviour every 93 weeks (152.3303*sine), 85 weeks (139.4911*sine), and 93 weeks (37.507*cosine).

BOSC (BOS Better OnLine Sol (USA)) has an average price of 227.45 (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 11/6/2017 for BOSC (BOS Better OnLine Sol (USA)), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
0227.4489   0 
1375.382 136.3771 (1*2π)/932932 weeks
2301.7078 182.0541 (2*2π)/932466 weeks
3225.6125 214.7972 (3*2π)/932311 weeks
4159.7296 198.3539 (4*2π)/932233 weeks
5131.2812 180.9819 (5*2π)/932186 weeks
6111.6625 167.1906 (6*2π)/932155 weeks
798.57784 166.8485 (7*2π)/932133 weeks
878.04664 167.0275 (8*2π)/932117 weeks
957.3048 161.4076 (9*2π)/932104 weeks
1037.50695 152.3303 (10*2π)/93293 weeks
1124.08863 139.4911 (11*2π)/93285 weeks
1212.59955 127.8629 (12*2π)/93278 weeks
134.86511 116.1118 (13*2π)/93272 weeks
14-1.0387 103.7659 (14*2π)/93267 weeks
15-4.32305 91.56496 (15*2π)/93262 weeks
16-2.95083 80.18703 (16*2π)/93258 weeks
171.28664 75.68967 (17*2π)/93255 weeks
18-.22425 74.019 (18*2π)/93252 weeks
19-3.31718 69.10267 (19*2π)/93249 weeks
20-4.59926 60.57723 (20*2π)/93247 weeks
21-.72229 54.28857 (21*2π)/93244 weeks
224.17077 52.31832 (22*2π)/93242 weeks
237.13697 51.95598 (23*2π)/93241 weeks
248.34374 52.30736 (24*2π)/93239 weeks
2510.48663 53.4517 (25*2π)/93237 weeks
269.84125 55.87608 (26*2π)/93236 weeks
278.37737 58.45567 (27*2π)/93235 weeks
284.31965 59.98855 (28*2π)/93233 weeks
29-.89022 58.86198 (29*2π)/93232 weeks
30-4.27765 54.38534 (30*2π)/93231 weeks
31-3.08192 49.75007 (31*2π)/93230 weeks
32-.3511 50.03699 (32*2π)/93229 weeks
33.4941 52.51672 (33*2π)/93228 weeks
34-2.78857 55.63341 (34*2π)/93227 weeks
35-7.42657 56.5011 (35*2π)/93227 weeks
36-12.18623 54.77496 (36*2π)/93226 weeks
37-15.72903 52.68218 (37*2π)/93225 weeks
38-18.66968 49.69026 (38*2π)/93225 weeks
39-22.11361 46.90631 (39*2π)/93224 weeks
40-24.61571 41.98539 (40*2π)/93223 weeks
41-24.42776 36.71546 (41*2π)/93223 weeks
42-22.94154 33.5476 (42*2π)/93222 weeks
43-21.47483 31.84596 (43*2π)/93222 weeks
44-21.31248 31.09275 (44*2π)/93221 weeks
45-22.17121 29.68204 (45*2π)/93221 weeks
46-22.30121 27.06092 (46*2π)/93220 weeks
47-21.08764 25.25597 (47*2π)/93220 weeks
48-19.73214 24.81182 (48*2π)/93219 weeks
49-20.05843 26.14587 (49*2π)/93219 weeks
50-22.83089 26.23572 (50*2π)/93219 weeks
51-25.84032 23.8221 (51*2π)/93218 weeks
52-27.21366 19.7108 (52*2π)/93218 weeks
53-26.60196 15.97513 (53*2π)/93218 weeks
54-24.85286 13.84142 (54*2π)/93217 weeks
55-24.21808 13.52125 (55*2π)/93217 weeks
56-26.28414 11.96892 (56*2π)/93217 weeks
57-26.93679 7.79562 (57*2π)/93216 weeks
58-25.28355 3.32807 (58*2π)/93216 weeks
59-22.09721 .94759 (59*2π)/93216 weeks
60-19.54409 -.33865 (60*2π)/93216 weeks
61-18.03592 -1.5411 (61*2π)/93215 weeks
62-15.54556 -2.98765 (62*2π)/93215 weeks
63-11.89289 -4.0289 (63*2π)/93215 weeks
64-8.39113 -2.5214 (64*2π)/93215 weeks
65-6.60842 .57113 (65*2π)/93214 weeks
66-7.50726 3.19121 (66*2π)/93214 weeks
67-9.85345 4.26138 (67*2π)/93214 weeks
68-11.50742 2.87074 (68*2π)/93214 weeks
69-12.05826 1.25093 (69*2π)/93214 weeks
70-11.56165 .18407 (70*2π)/93213 weeks
71-12.15715 -.24452 (71*2π)/93213 weeks
72-13.45466 -2.30882 (72*2π)/93213 weeks
73-12.98467 -5.59936 (73*2π)/93213 weeks
74-11.00426 -8.89071 (74*2π)/93213 weeks
75-7.89304 -10.66757 (75*2π)/93212 weeks
76-4.27854 -11.28454 (76*2π)/93212 weeks
77-1.35334 -10.39774 (77*2π)/93212 weeks
78.87089 -9.82163 (78*2π)/93212 weeks
793.59397 -7.95559 (79*2π)/93212 weeks
804.70617 -5.15573 (80*2π)/93212 weeks
813.94442 -2.29541 (81*2π)/93212 weeks
821.98428 -1.35052 (82*2π)/93211 weeks
83.53623 -2.01423 (83*2π)/93211 weeks
84.22875 -3.42432 (84*2π)/93211 weeks
851.20415 -4.37876 (85*2π)/93211 weeks
862.38325 -4.45778 (86*2π)/93211 weeks
872.87461 -3.39251 (87*2π)/93211 weeks
882.10936 -3.31639 (88*2π)/93211 weeks
891.7035 -4.24338 (89*2π)/93210 weeks
902.43391 -5.31235 (90*2π)/93210 weeks
913.27695 -5.72221 (91*2π)/93210 weeks
923.96432 -6.02502 (92*2π)/93210 weeks
934.45323 -6.51038 (93*2π)/93210 weeks
945.24851 -7.61591 (94*2π)/93210 weeks
957.26182 -8.41055 (95*2π)/93210 weeks
969.5481 -8.27393 (96*2π)/93210 weeks
9711.3156 -7.15289 (97*2π)/93210 weeks
9812.30841 -6.22991 (98*2π)/93210 weeks
9913.40432 -6.12599 (99*2π)/9329 weeks
10016.08464 -5.31616 (100*2π)/9329 weeks
10118.00905 -2.63474 (101*2π)/9329 weeks
10218.62623 .3791 (102*2π)/9329 weeks
10318.14637 3.39848 (103*2π)/9329 weeks
10416.25139 5.62527 (104*2π)/9329 weeks
10514.48538 6.02436 (105*2π)/9329 weeks
10613.89377 6.09549 (106*2π)/9329 weeks
10713.75174 6.86329 (107*2π)/9329 weeks
10812.96251 8.10938 (108*2π)/9329 weeks
10911.4575 8.56828 (109*2π)/9329 weeks
11010.45712 8.43271 (110*2π)/9328 weeks
1119.83473 8.11503 (111*2π)/9328 weeks
1129.44246 8.41145 (112*2π)/9328 weeks
1138.56805 8.41417 (113*2π)/9328 weeks
1147.6472 7.73746 (114*2π)/9328 weeks
1157.52267 6.84183 (115*2π)/9328 weeks
1167.83561 6.36074 (116*2π)/9328 weeks
1178.27909 6.06911 (117*2π)/9328 weeks
1188.99053 6.34285 (118*2π)/9328 weeks
1198.87107 6.94876 (119*2π)/9328 weeks
1208.49952 6.81097 (120*2π)/9328 weeks
1218.87239 6.41348 (121*2π)/9328 weeks
1229.74087 6.79139 (122*2π)/9328 weeks
12310.27216 7.5797 (123*2π)/9328 weeks
12410.44825 8.68979 (124*2π)/9328 weeks
12510.08535 9.89411 (125*2π)/9327 weeks
1269.22868 10.97588 (126*2π)/9327 weeks
1278.08645 11.53665 (127*2π)/9327 weeks
1286.86954 11.50376 (128*2π)/9327 weeks
1295.83916 11.28639 (129*2π)/9327 weeks
1305.04127 10.51774 (130*2π)/9327 weeks
1315.17886 9.34348 (131*2π)/9327 weeks
1326.39283 9.30166 (132*2π)/9327 weeks
1336.87041 10.57165 (133*2π)/9327 weeks
1345.88375 11.99313 (134*2π)/9327 weeks
1354.38808 12.24133 (135*2π)/9327 weeks
1363.26444 11.69509 (136*2π)/9327 weeks
1372.67776 11.20449 (137*2π)/9327 weeks
1382.28269 10.72728 (138*2π)/9327 weeks
1392.04173 10.1946 (139*2π)/9327 weeks
1402.08885 10.32947 (140*2π)/9327 weeks
1411.30735 10.30617 (141*2π)/9327 weeks
142.7832 9.80894 (142*2π)/9327 weeks
143.41034 9.35589 (143*2π)/9327 weeks
144.09451 8.75228 (144*2π)/9326 weeks
145-.05419 8.29578 (145*2π)/9326 weeks
146.14049 7.55646 (146*2π)/9326 weeks
147.4157 7.63346 (147*2π)/9326 weeks
148.13873 7.83303 (148*2π)/9326 weeks
149-.41192 7.70438 (149*2π)/9326 weeks
150-1.09032 7.07749 (150*2π)/9326 weeks
151-1.35817 6.23043 (151*2π)/9326 weeks
152-1.19354 5.14006 (152*2π)/9326 weeks
153-.22359 4.60303 (153*2π)/9326 weeks
154.39079 5.15364 (154*2π)/9326 weeks
155-.30125 5.77763 (155*2π)/9326 weeks
156-1.58906 5.15261 (156*2π)/9326 weeks
157-1.91774 3.51411 (157*2π)/9326 weeks
158-1.16741 2.10435 (158*2π)/9326 weeks
159-.11126 1.27258 (159*2π)/9326 weeks
1601.05103 .93758 (160*2π)/9326 weeks
1612.02022 1.05722 (161*2π)/9326 weeks
1622.57361 1.29588 (162*2π)/9326 weeks
1633.27525 1.11414 (163*2π)/9326 weeks
1644.44088 1.40689 (164*2π)/9326 weeks
1655.01747 2.4372 (165*2π)/9326 weeks
1664.92012 3.04112 (166*2π)/9326 weeks
1675.09824 3.2226 (167*2π)/9326 weeks
1685.74454 3.27393 (168*2π)/9326 weeks
1696.65396 4.12321 (169*2π)/9326 weeks
1707.19445 5.69945 (170*2π)/9325 weeks
1716.75145 7.47484 (171*2π)/9325 weeks
1725.63658 8.86353 (172*2π)/9325 weeks
1734.04178 9.55988 (173*2π)/9325 weeks
1742.67604 9.61553 (174*2π)/9325 weeks
1751.47497 9.6855 (175*2π)/9325 weeks
176.07943 9.48865 (176*2π)/9325 weeks
177-1.44398 8.63804 (177*2π)/9325 weeks
178-2.09474 7.18925 (178*2π)/9325 weeks
179-2.20557 6.28264 (179*2π)/9325 weeks
180-2.5594 5.66859 (180*2π)/9325 weeks
181-2.99475 4.62203 (181*2π)/9325 weeks
182-3.12116 3.34684 (182*2π)/9325 weeks
183-2.70345 1.78 (183*2π)/9325 weeks
184-1.43727 .7204 (184*2π)/9325 weeks
185.05213 .62719 (185*2π)/9325 weeks
186.93591 1.20381 (186*2π)/9325 weeks
187.97351 1.8864 (187*2π)/9325 weeks
188.60642 1.97677 (188*2π)/9325 weeks
189.50938 1.50977 (189*2π)/9325 weeks
190.86067 1.20045 (190*2π)/9325 weeks
1911.35369 1.11771 (191*2π)/9325 weeks
1921.42998 1.47125 (192*2π)/9325 weeks
1931.20668 1.40456 (193*2π)/9325 weeks
194.89481 1.0742 (194*2π)/9325 weeks
1951.08024 .01636 (195*2π)/9325 weeks
1962.19749 -.46455 (196*2π)/9325 weeks
1973.04174 -.15873 (197*2π)/9325 weeks
1983.41446 .42816 (198*2π)/9325 weeks
1993.15887 .52289 (199*2π)/9325 weeks
2003.41039 .14154 (200*2π)/9325 weeks
2013.9372 .02536 (201*2π)/9325 weeks
2024.23301 -.11701 (202*2π)/9325 weeks
2035.23728 -.43342 (203*2π)/9325 weeks
2046.46705 -.09007 (204*2π)/9325 weeks
2057.6193 .86122 (205*2π)/9325 weeks
2068.44017 2.36947 (206*2π)/9325 weeks
2078.55738 4.39144 (207*2π)/9325 weeks
2087.34506 6.27 (208*2π)/9324 weeks
2095.60681 6.85815 (209*2π)/9324 weeks
2104.30836 6.76117 (210*2π)/9324 weeks
2113.40562 6.41469 (211*2π)/9324 weeks
2122.79986 5.93418 (212*2π)/9324 weeks
2132.4896 5.57728 (213*2π)/9324 weeks
2142.04295 5.17964 (214*2π)/9324 weeks
2151.90068 4.65225 (215*2π)/9324 weeks
2162.01636 4.23161 (216*2π)/9324 weeks
2172.22573 4.25767 (217*2π)/9324 weeks
2182.08314 4.34527 (218*2π)/9324 weeks
2191.5598 4.26885 (219*2π)/9324 weeks
220.92527 3.56081 (220*2π)/9324 weeks
2211.28589 2.36615 (221*2π)/9324 weeks
2222.29045 1.73107 (222*2π)/9324 weeks
2233.41395 2.00042 (223*2π)/9324 weeks
2243.96046 2.59983 (224*2π)/9324 weeks
2254.19756 3.4413 (225*2π)/9324 weeks
2263.94938 4.03953 (226*2π)/9324 weeks
2273.725 4.31069 (227*2π)/9324 weeks
2283.41124 4.72182 (228*2π)/9324 weeks
2293.08797 4.93987 (229*2π)/9324 weeks
2302.53402 5.0964 (230*2π)/9324 weeks
2311.98582 4.90019 (231*2π)/9324 weeks
2321.71389 4.41904 (232*2π)/9324 weeks
2331.74644 4.05688 (233*2π)/9324 weeks
2341.82297 3.92531 (234*2π)/9324 weeks
2351.94405 3.69681 (235*2π)/9324 weeks
2362.18977 3.62212 (236*2π)/9324 weeks
2372.49863 3.72229 (237*2π)/9324 weeks
2382.67194 3.99771 (238*2π)/9324 weeks
2392.70344 4.59432 (239*2π)/9324 weeks
2402.14164 5.02363 (240*2π)/9324 weeks
2411.55644 4.75003 (241*2π)/9324 weeks
2421.54845 4.30955 (242*2π)/9324 weeks
2432.02731 4.38723 (243*2π)/9324 weeks
2442.1022 4.91001 (244*2π)/9324 weeks
2451.84048 5.58384 (245*2π)/9324 weeks
2461.00872 6.0512 (246*2π)/9324 weeks
247.04655 5.92057 (247*2π)/9324 weeks
248-.62368 5.4071 (248*2π)/9324 weeks
249-.83227 5.00997 (249*2π)/9324 weeks
250-1.36299 4.83002 (250*2π)/9324 weeks
251-1.81883 4.31029 (251*2π)/9324 weeks
252-2.29417 3.62877 (252*2π)/9324 weeks
253-2.50514 2.6382 (253*2π)/9324 weeks
254-2.15661 1.55527 (254*2π)/9324 weeks
255-1.30518 .85829 (255*2π)/9324 weeks
256-.46387 .78226 (256*2π)/9324 weeks
257.19788 .98687 (257*2π)/9324 weeks
258.72031 1.5453 (258*2π)/9324 weeks
259.47819 2.19054 (259*2π)/9324 weeks
260-.03914 2.39191 (260*2π)/9324 weeks
261-.60392 2.23779 (261*2π)/9324 weeks
262-.92991 1.65553 (262*2π)/9324 weeks
263-.81026 .88485 (263*2π)/9324 weeks
264-.05549 .44995 (264*2π)/9324 weeks
265.66504 .87009 (265*2π)/9324 weeks
266.57589 1.6176 (266*2π)/9324 weeks
267-.01863 1.69138 (267*2π)/9323 weeks
268-.3416 1.46093 (268*2π)/9323 weeks
269-.51799 .9952 (269*2π)/9323 weeks
270-.21624 .64668 (270*2π)/9323 weeks
271.04726 .76179 (271*2π)/9323 weeks
272-.2033 .94468 (272*2π)/9323 weeks
273-.57027 .5026 (273*2π)/9323 weeks
274-.3534 -.13495 (274*2π)/9323 weeks
275.28083 -.40671 (275*2π)/9323 weeks
276.88886 .0541 (276*2π)/9323 weeks
277.74461 .60388 (277*2π)/9323 weeks
278.34345 .81535 (278*2π)/9323 weeks
279-.12694 .76684 (279*2π)/9323 weeks
280-.45888 .57988 (280*2π)/9323 weeks
281-.79933 .05864 (281*2π)/9323 weeks
282-.90729 -.42215 (282*2π)/9323 weeks
283-.83075 -.97641 (283*2π)/9323 weeks
284-.72818 -1.43213 (284*2π)/9323 weeks
285-.46788 -1.98519 (285*2π)/9323 weeks
286-.06013 -2.4159 (286*2π)/9323 weeks
287.57214 -2.75822 (287*2π)/9323 weeks
2881.00185 -2.70208 (288*2π)/9323 weeks
2891.30549 -2.88877 (289*2π)/9323 weeks
2901.80173 -2.99882 (290*2π)/9323 weeks
2912.36093 -3.0078 (291*2π)/9323 weeks
2922.7291 -2.82298 (292*2π)/9323 weeks
2933.04818 -2.84811 (293*2π)/9323 weeks
2943.6118 -2.85873 (294*2π)/9323 weeks
2954.23794 -2.65492 (295*2π)/9323 weeks
2964.97169 -2.38871 (296*2π)/9323 weeks
2975.77166 -1.42026 (297*2π)/9323 weeks
2985.64696 -.1368 (298*2π)/9323 weeks
2995.06354 .44935 (299*2π)/9323 weeks
3004.71187 .67293 (300*2π)/9323 weeks
3014.56739 .91382 (301*2π)/9323 weeks
3024.3541 1.30046 (302*2π)/9323 weeks
3034.01866 1.56636 (303*2π)/9323 weeks
3043.56229 1.69213 (304*2π)/9323 weeks
3053.3037 1.61332 (305*2π)/9323 weeks
3063.19571 1.49944 (306*2π)/9323 weeks
3073.46431 1.54755 (307*2π)/9323 weeks
3083.58573 2.28369 (308*2π)/9323 weeks
3092.87344 3.08758 (309*2π)/9323 weeks
3101.84628 3.10304 (310*2π)/9323 weeks
3111.13704 2.89407 (311*2π)/9323 weeks
312.61003 2.5847 (312*2π)/9323 weeks
313.12352 2.36607 (313*2π)/9323 weeks
314-.53001 1.94281 (314*2π)/9323 weeks
315-1.05404 1.22094 (315*2π)/9323 weeks
316-1.11041 .44644 (316*2π)/9323 weeks
317-1.0546 -.04683 (317*2π)/9323 weeks
318-1.18092 -.50215 (318*2π)/9323 weeks
319-1.41854 -1.05888 (319*2π)/9323 weeks
320-1.50189 -2.01189 (320*2π)/9323 weeks
321-1.13937 -3.03522 (321*2π)/9323 weeks
322-.22499 -3.8704 (322*2π)/9323 weeks
323.68203 -4.14145 (323*2π)/9323 weeks
3241.50619 -4.10861 (324*2π)/9323 weeks
3252.08699 -3.87747 (325*2π)/9323 weeks
3262.51289 -3.77208 (326*2π)/9323 weeks
3272.93809 -3.48805 (327*2π)/9323 weeks
3283.15765 -3.22648 (328*2π)/9323 weeks
3293.28547 -2.90462 (329*2π)/9323 weeks
3303.13213 -2.64069 (330*2π)/9323 weeks
3312.72632 -2.83332 (331*2π)/9323 weeks
3322.79129 -3.62911 (332*2π)/9323 weeks
3333.66847 -4.14398 (333*2π)/9323 weeks
3344.66423 -3.85788 (334*2π)/9323 weeks
3355.10163 -3.25726 (335*2π)/9323 weeks
3365.26234 -2.77071 (336*2π)/9323 weeks
3375.27482 -2.43534 (337*2π)/9323 weeks
3385.31923 -2.27284 (338*2π)/9323 weeks
3395.61492 -1.97658 (339*2π)/9323 weeks
3405.64254 -1.26214 (340*2π)/9323 weeks
3414.86198 -.85253 (341*2π)/9323 weeks
3424.36009 -1.35827 (342*2π)/9323 weeks
3434.50036 -1.84849 (343*2π)/9323 weeks
3444.86503 -2.07404 (344*2π)/9323 weeks
3455.28873 -2.10341 (345*2π)/9323 weeks
3465.63216 -1.85541 (346*2π)/9323 weeks
3475.72035 -1.584 (347*2π)/9323 weeks
3485.89723 -1.52887 (348*2π)/9323 weeks
3496.14744 -1.14564 (349*2π)/9323 weeks
3506.10036 -.7551 (350*2π)/9323 weeks
3515.80153 -.49299 (351*2π)/9323 weeks
3525.60308 -.52911 (352*2π)/9323 weeks
3535.54921 -.68816 (353*2π)/9323 weeks
3545.61378 -.68402 (354*2π)/9323 weeks
3555.62221 -.63743 (355*2π)/9323 weeks
3565.46167 -.69 (356*2π)/9323 weeks
3575.39283 -1.20171 (357*2π)/9323 weeks
3585.9454 -1.78329 (358*2π)/9323 weeks
3596.91955 -1.90816 (359*2π)/9323 weeks
3607.82979 -1.53311 (360*2π)/9323 weeks
3618.66465 -.74207 (361*2π)/9323 weeks
3629.03064 .46541 (362*2π)/9323 weeks
3638.67018 1.48517 (363*2π)/9323 weeks
3648.27476 1.90776 (364*2π)/9323 weeks
3658.22769 2.35195 (365*2π)/9323 weeks
3668.02576 3.03776 (366*2π)/9323 weeks
3677.64488 3.55193 (367*2π)/9323 weeks
3687.22389 3.95044 (368*2π)/9323 weeks
3696.82748 4.39143 (369*2π)/9323 weeks
3706.35594 4.81705 (370*2π)/9323 weeks
3715.84132 5.17265 (371*2π)/9323 weeks
3725.19664 5.61047 (372*2π)/9323 weeks
3734.20047 5.90247 (373*2π)/9322 weeks
3743.03911 5.68646 (374*2π)/9322 weeks
3752.39809 5.07314 (375*2π)/9322 weeks
3761.95811 4.64353 (376*2π)/9322 weeks
3771.46432 4.30647 (377*2π)/9322 weeks
378.90042 3.56159 (378*2π)/9322 weeks
379.91313 2.77508 (379*2π)/9322 weeks
3801.03318 2.23068 (380*2π)/9322 weeks
3811.23168 1.8493 (381*2π)/9322 weeks
3821.46543 1.54953 (382*2π)/9322 weeks
3831.62509 1.52348 (383*2π)/9322 weeks
3841.47364 1.42456 (384*2π)/9322 weeks
3851.5242 .89274 (385*2π)/9322 weeks
3862.00289 .62357 (386*2π)/9322 weeks
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787-.05419 -8.29578 (787*2π)/9321 weeks
788.09451 -8.75228 (788*2π)/9321 weeks
789.41034 -9.35589 (789*2π)/9321 weeks
790.7832 -9.80894 (790*2π)/9321 weeks
7911.30735 -10.30617 (791*2π)/9321 weeks
7922.08885 -10.32947 (792*2π)/9321 weeks
7932.04173 -10.1946 (793*2π)/9321 weeks
7942.28269 -10.72728 (794*2π)/9321 weeks
7952.67776 -11.20449 (795*2π)/9321 weeks
7963.26444 -11.69509 (796*2π)/9321 weeks
7974.38808 -12.24133 (797*2π)/9321 weeks
7985.88375 -11.99313 (798*2π)/9321 weeks
7996.87041 -10.57165 (799*2π)/9321 weeks
8006.39283 -9.30166 (800*2π)/9321 weeks
8015.17886 -9.34348 (801*2π)/9321 weeks
8025.04127 -10.51774 (802*2π)/9321 weeks
8035.83916 -11.28639 (803*2π)/9321 weeks
8046.86954 -11.50376 (804*2π)/9321 weeks
8058.08645 -11.53665 (805*2π)/9321 weeks
8069.22868 -10.97588 (806*2π)/9321 weeks
80710.08535 -9.89411 (807*2π)/9321 weeks
80810.44825 -8.68979 (808*2π)/9321 weeks
80910.27216 -7.5797 (809*2π)/9321 weeks
8109.74087 -6.79139 (810*2π)/9321 weeks
8118.87239 -6.41348 (811*2π)/9321 weeks
8128.49952 -6.81097 (812*2π)/9321 weeks
8138.87107 -6.94876 (813*2π)/9321 weeks
8148.99053 -6.34285 (814*2π)/9321 weeks
8158.27909 -6.06911 (815*2π)/9321 weeks
8167.83561 -6.36074 (816*2π)/9321 weeks
8177.52267 -6.84183 (817*2π)/9321 weeks
8187.6472 -7.73746 (818*2π)/9321 weeks
8198.56805 -8.41417 (819*2π)/9321 weeks
8209.44246 -8.41145 (820*2π)/9321 weeks
8219.83473 -8.11503 (821*2π)/9321 weeks
82210.45712 -8.43271 (822*2π)/9321 weeks
82311.4575 -8.56828 (823*2π)/9321 weeks
82412.96251 -8.10938 (824*2π)/9321 weeks
82513.75174 -6.86329 (825*2π)/9321 weeks
82613.89377 -6.09549 (826*2π)/9321 weeks
82714.48538 -6.02436 (827*2π)/9321 weeks
82816.25139 -5.62527 (828*2π)/9321 weeks
82918.14637 -3.39848 (829*2π)/9321 weeks
83018.62623 -.3791 (830*2π)/9321 weeks
83118.00905 2.63474 (831*2π)/9321 weeks
83216.08464 5.31616 (832*2π)/9321 weeks
83313.40432 6.12599 (833*2π)/9321 weeks
83412.30841 6.22991 (834*2π)/9321 weeks
83511.3156 7.15289 (835*2π)/9321 weeks
8369.5481 8.27393 (836*2π)/9321 weeks
8377.26182 8.41055 (837*2π)/9321 weeks
8385.24851 7.61591 (838*2π)/9321 weeks
8394.45323 6.51038 (839*2π)/9321 weeks
8403.96432 6.02502 (840*2π)/9321 weeks
8413.27695 5.72221 (841*2π)/9321 weeks
8422.43391 5.31235 (842*2π)/9321 weeks
8431.7035 4.24338 (843*2π)/9321 weeks
8442.10936 3.31639 (844*2π)/9321 weeks
8452.87461 3.39251 (845*2π)/9321 weeks
8462.38325 4.45778 (846*2π)/9321 weeks
8471.20415 4.37876 (847*2π)/9321 weeks
848.22875 3.42432 (848*2π)/9321 weeks
849.53623 2.01423 (849*2π)/9321 weeks
8501.98428 1.35052 (850*2π)/9321 weeks
8513.94442 2.29541 (851*2π)/9321 weeks
8524.70617 5.15573 (852*2π)/9321 weeks
8533.59397 7.95559 (853*2π)/9321 weeks
854.87089 9.82163 (854*2π)/9321 weeks
855-1.35334 10.39774 (855*2π)/9321 weeks
856-4.27854 11.28454 (856*2π)/9321 weeks
857-7.89304 10.66757 (857*2π)/9321 weeks
858-11.00426 8.89071 (858*2π)/9321 weeks
859-12.98467 5.59936 (859*2π)/9321 weeks
860-13.45466 2.30882 (860*2π)/9321 weeks
861-12.15715 .24452 (861*2π)/9321 weeks
862-11.56165 -.18407 (862*2π)/9321 weeks
863-12.05826 -1.25093 (863*2π)/9321 weeks
864-11.50742 -2.87074 (864*2π)/9321 weeks
865-9.85345 -4.26138 (865*2π)/9321 weeks
866-7.50726 -3.19121 (866*2π)/9321 weeks
867-6.60842 -.57113 (867*2π)/9321 weeks
868-8.39113 2.5214 (868*2π)/9321 weeks
869-11.89289 4.0289 (869*2π)/9321 weeks
870-15.54556 2.98765 (870*2π)/9321 weeks
871-18.03592 1.5411 (871*2π)/9321 weeks
872-19.54409 .33865 (872*2π)/9321 weeks
873-22.09721 -.94759 (873*2π)/9321 weeks
874-25.28355 -3.32807 (874*2π)/9321 weeks
875-26.93679 -7.79562 (875*2π)/9321 weeks
876-26.28414 -11.96892 (876*2π)/9321 weeks
877-24.21808 -13.52125 (877*2π)/9321 weeks
878-24.85286 -13.84142 (878*2π)/9321 weeks
879-26.60196 -15.97513 (879*2π)/9321 weeks
880-27.21366 -19.7108 (880*2π)/9321 weeks
881-25.84032 -23.8221 (881*2π)/9321 weeks
882-22.83089 -26.23572 (882*2π)/9321 weeks
883-20.05843 -26.14587 (883*2π)/9321 weeks
884-19.73214 -24.81182 (884*2π)/9321 weeks
885-21.08764 -25.25597 (885*2π)/9321 weeks
886-22.30121 -27.06092 (886*2π)/9321 weeks
887-22.17121 -29.68204 (887*2π)/9321 weeks
888-21.31248 -31.09275 (888*2π)/9321 weeks
889-21.47483 -31.84596 (889*2π)/9321 weeks
890-22.94154 -33.5476 (890*2π)/9321 weeks
891-24.42776 -36.71546 (891*2π)/9321 weeks
892-24.61571 -41.98539 (892*2π)/9321 weeks
893-22.11361 -46.90631 (893*2π)/9321 weeks
894-18.66968 -49.69026 (894*2π)/9321 weeks
895-15.72903 -52.68218 (895*2π)/9321 weeks
896-12.18623 -54.77496 (896*2π)/9321 weeks
897-7.42657 -56.5011 (897*2π)/9321 weeks
898-2.78857 -55.63341 (898*2π)/9321 weeks
899.4941 -52.51672 (899*2π)/9321 weeks
900-.3511 -50.03699 (900*2π)/9321 weeks
901-3.08192 -49.75007 (901*2π)/9321 weeks
902-4.27765 -54.38534 (902*2π)/9321 weeks
903-.89022 -58.86198 (903*2π)/9321 weeks
9044.31965 -59.98855 (904*2π)/9321 weeks
9058.37737 -58.45567 (905*2π)/9321 weeks
9069.84125 -55.87608 (906*2π)/9321 weeks
90710.48663 -53.4517 (907*2π)/9321 weeks
9088.34374 -52.30736 (908*2π)/9321 weeks
9097.13697 -51.95598 (909*2π)/9321 weeks
9104.17077 -52.31832 (910*2π)/9321 weeks
911-.72229 -54.28857 (911*2π)/9321 weeks
912-4.59926 -60.57723 (912*2π)/9321 weeks
913-3.31718 -69.10267 (913*2π)/9321 weeks
914-.22425 -74.019 (914*2π)/9321 weeks
9151.28664 -75.68967 (915*2π)/9321 weeks
916-2.95083 -80.18703 (916*2π)/9321 weeks
917-4.32305 -91.56496 (917*2π)/9321 weeks
918-1.0387 -103.7659 (918*2π)/9321 weeks
9194.86511 -116.1118 (919*2π)/9321 weeks
92012.59955 -127.8629 (920*2π)/9321 weeks
92124.08863 -139.4911 (921*2π)/9321 weeks
92237.50695 -152.3303 (922*2π)/9321 weeks
92357.3048 -161.4076 (923*2π)/9321 weeks
92478.04664 -167.0275 (924*2π)/9321 weeks
92598.57784 -166.8485 (925*2π)/9321 weeks
926111.6625 -167.1906 (926*2π)/9321 weeks
927131.2812 -180.9819 (927*2π)/9321 weeks
928159.7296 -198.3539 (928*2π)/9321 weeks
929225.6125 -214.7972 (929*2π)/9321 weeks
930301.7078 -182.0541 (930*2π)/9321 weeks



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