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Fourier Analysis of BOSC (B.O.S. Better Online Solutions)


BOSC (B.O.S. Better Online Solutions) appears to have interesting cyclic behaviour every 99 weeks (55.3065*sine), 91 weeks (50.3767*sine), and 109 weeks (41.7768*cosine).

BOSC (B.O.S. Better Online Solutions) has an average price of 133.95 (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 4/2/1996 to 3/13/2017 for BOSC (B.O.S. Better Online Solutions), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
0133.9473   0 
1120.5658 155.6869 (1*2π)/10931,093 weeks
24.88637 125.3519 (2*2π)/1093547 weeks
3-37.91051 35.59401 (3*2π)/1093364 weeks
421.2732 -.80469 (4*2π)/1093273 weeks
543.57507 30.40569 (5*2π)/1093219 weeks
617.66667 60.64701 (6*2π)/1093182 weeks
7-15.94613 39.46451 (7*2π)/1093156 weeks
8-15.1123 4.20239 (8*2π)/1093137 weeks
918.84708 -8.35683 (9*2π)/1093121 weeks
1041.77676 20.2094 (10*2π)/1093109 weeks
1123.29611 55.30648 (11*2π)/109399 weeks
12-19.54288 50.37666 (12*2π)/109391 weeks
13-31.74515 13.80475 (13*2π)/109384 weeks
14-7.97547 -9.6046 (14*2π)/109378 weeks
1515.93722 -1.30439 (15*2π)/109373 weeks
1619.01963 20.75632 (16*2π)/109368 weeks
17.90135 32.77611 (17*2π)/109364 weeks
18-16.33579 20.90573 (18*2π)/109361 weeks
19-14.62114 5.15367 (19*2π)/109358 weeks
20-5.11719 -3.80505 (20*2π)/109355 weeks
217.72279 .17348 (21*2π)/109352 weeks
228.05243 10.92934 (22*2π)/109350 weeks
23-.32597 13.51173 (23*2π)/109348 weeks
24-4.08842 9.52448 (24*2π)/109346 weeks
25-3.85783 3.90627 (25*2π)/109344 weeks
262.2171 .64374 (26*2π)/109342 weeks
276.89875 4.88394 (27*2π)/109340 weeks
285.05836 10.77113 (28*2π)/109339 weeks
29-.18309 12.60752 (29*2π)/109338 weeks
30-5.55443 6.87717 (30*2π)/109336 weeks
31-.82558 1.0793 (31*2π)/109335 weeks
325.999 4.3115 (32*2π)/109334 weeks
333.81729 12.13734 (33*2π)/109333 weeks
34-5.48451 12.46058 (34*2π)/109332 weeks
35-9.33938 3.39772 (35*2π)/109331 weeks
36-3.78891 -3.28737 (36*2π)/109330 weeks
373.57031 -3.86914 (37*2π)/109330 weeks
388.64872 3.01217 (38*2π)/109329 weeks
395.03312 10.23387 (39*2π)/109328 weeks
40-3.15382 8.97616 (40*2π)/109327 weeks
41-4.70002 1.74599 (41*2π)/109327 weeks
421.69778 -1.87218 (42*2π)/109326 weeks
436.77222 2.7024 (43*2π)/109325 weeks
443.21473 9.11126 (44*2π)/109325 weeks
45-3.10215 7.17503 (45*2π)/109324 weeks
46-3.11981 .17276 (46*2π)/109324 weeks
473.38593 -.94746 (47*2π)/109323 weeks
485.38358 4.1113 (48*2π)/109323 weeks
492.62005 7.14184 (49*2π)/109322 weeks
50-1.62641 6.07319 (50*2π)/109322 weeks
51-2.14703 1.59371 (51*2π)/109321 weeks
521.93417 -.46791 (52*2π)/109321 weeks
535.20724 2.38189 (53*2π)/109321 weeks
543.76992 6.02832 (54*2π)/109320 weeks
55.68239 6.12332 (55*2π)/109320 weeks
56-.67653 3.2762 (56*2π)/109320 weeks
572.06992 1.32621 (57*2π)/109319 weeks
585.68603 3.43338 (58*2π)/109319 weeks
595.15703 9.15637 (59*2π)/109319 weeks
60-1.31075 11.79641 (60*2π)/109318 weeks
61-7.65702 7.12627 (61*2π)/109318 weeks
62-6.81858 -1.16296 (62*2π)/109318 weeks
631.20904 -3.67545 (63*2π)/109317 weeks
645.26785 2.25064 (64*2π)/109317 weeks
652.2571 6.72827 (65*2π)/109317 weeks
66-3.5694 6.43804 (66*2π)/109317 weeks
67-5.17687 -.10512 (67*2π)/109316 weeks
68.94849 -4.01076 (68*2π)/109316 weeks
696.17987 .65669 (69*2π)/109316 weeks
704.0791 6.71233 (70*2π)/109316 weeks
71-1.9269 6.70699 (71*2π)/109315 weeks
72-4.28805 1.09153 (72*2π)/109315 weeks
73.10339 -2.41432 (73*2π)/109315 weeks
744.70416 .53633 (74*2π)/109315 weeks
753.29331 4.79988 (75*2π)/109315 weeks
76-.58737 4.92479 (76*2π)/109314 weeks
77-1.91365 1.98278 (77*2π)/109314 weeks
78.11299 -.45991 (78*2π)/109314 weeks
792.83357 -.26772 (79*2π)/109314 weeks
804.77869 2.75193 (80*2π)/109314 weeks
813.02819 6.61514 (81*2π)/109313 weeks
82-2.52022 6.69035 (82*2π)/109313 weeks
83-4.77676 1.45554 (83*2π)/109313 weeks
84-1.45877 -3.11642 (84*2π)/109313 weeks
854.74346 -2.27427 (85*2π)/109313 weeks
865.832 3.81436 (86*2π)/109313 weeks
87.60831 6.97249 (87*2π)/109313 weeks
88-3.81491 3.05246 (88*2π)/109312 weeks
89-1.41468 -2.99076 (89*2π)/109312 weeks
905.32196 -2.1921 (90*2π)/109312 weeks
916.91398 3.61311 (91*2π)/109312 weeks
922.56692 7.78033 (92*2π)/109312 weeks
93-2.0384 5.1682 (93*2π)/109312 weeks
94-1.56773 1.3848 (94*2π)/109312 weeks
951.01883 .77844 (95*2π)/109312 weeks
962.58962 2.08276 (96*2π)/109311 weeks
972.10011 4.46042 (97*2π)/109311 weeks
98-.49273 4.8753 (98*2π)/109311 weeks
99-2.11543 2.87882 (99*2π)/109311 weeks
100-1.16966 .4272 (100*2π)/109311 weeks
1011.79472 .11631 (101*2π)/109311 weeks
1022.50361 3.44094 (102*2π)/109311 weeks
103-.31338 4.74285 (103*2π)/109311 weeks
104-2.77417 2.61613 (104*2π)/109311 weeks
105-2.2583 -.80717 (105*2π)/109310 weeks
1061.40595 -2.2246 (106*2π)/109310 weeks
1074.55922 .20638 (107*2π)/109310 weeks
1084.01639 4.46271 (108*2π)/109310 weeks
109-.23074 5.60687 (109*2π)/109310 weeks
110-2.64104 2.25903 (110*2π)/109310 weeks
111-.4726 -1.36515 (111*2π)/109310 weeks
1123.89417 -.40306 (112*2π)/109310 weeks
1134.68663 4.412 (113*2π)/109310 weeks
114.17555 6.83167 (114*2π)/109310 weeks
115-3.52049 3.6112 (115*2π)/109310 weeks
116-2.19053 -.45516 (116*2π)/10939 weeks
1172.18261 -1.22967 (117*2π)/10939 weeks
1183.99537 3.38542 (118*2π)/10939 weeks
119.2725 5.79492 (119*2π)/10939 weeks
120-2.9291 3.73675 (120*2π)/10939 weeks
121-2.43222 -.09238 (121*2π)/10939 weeks
1221.33966 -.32208 (122*2π)/10939 weeks
1231.92496 2.61991 (123*2π)/10939 weeks
124-.1583 3.78623 (124*2π)/10939 weeks
125-1.96058 2.65479 (125*2π)/10939 weeks
126-1.93726 .38963 (126*2π)/10939 weeks
127.35007 -.5369 (127*2π)/10939 weeks
1281.69901 1.08519 (128*2π)/10939 weeks
1291.04544 2.804 (129*2π)/10938 weeks
130-.68436 2.79738 (130*2π)/10938 weeks
131-1.48505 1.47657 (131*2π)/10938 weeks
132-.39322 .46902 (132*2π)/10938 weeks
133.50894 1.03554 (133*2π)/10938 weeks
134.39541 1.62793 (134*2π)/10938 weeks
135-.04478 2.27467 (135*2π)/10938 weeks
136-1.4085 2.01914 (136*2π)/10938 weeks
137-1.55639 .67122 (137*2π)/10938 weeks
138-1.04263 -.14314 (138*2π)/10938 weeks
139.37718 -.29811 (139*2π)/10938 weeks
140.73044 1.10465 (140*2π)/10938 weeks
141-.40952 1.56365 (141*2π)/10938 weeks
142-1.24901 .74371 (142*2π)/10938 weeks
143-.93008 -.6051 (143*2π)/10938 weeks
144.29557 -.56816 (144*2π)/10938 weeks
145.4887 .18055 (145*2π)/10938 weeks
146-.15316 .52458 (146*2π)/10937 weeks
147-1.01939 -.43144 (147*2π)/10937 weeks
148-.00537 -2.38905 (148*2π)/10937 weeks
1492.56093 -2.053 (149*2π)/10937 weeks
1503.07239 .19693 (150*2π)/10937 weeks
1511.98703 1.16368 (151*2π)/10937 weeks
1521.06131 .57796 (152*2π)/10937 weeks
1531.87251 -.42791 (153*2π)/10937 weeks
1543.17175 .59553 (154*2π)/10937 weeks
1553.11325 1.95414 (155*2π)/10937 weeks
1562.20658 3.44711 (156*2π)/10937 weeks
157-.29294 3.79617 (157*2π)/10937 weeks
158-1.5973 1.44326 (158*2π)/10937 weeks
159-.36077 -.32906 (159*2π)/10937 weeks
1601.21719 -.21388 (160*2π)/10937 weeks
1611.84876 1.2513 (161*2π)/10937 weeks
162.4086 2.07406 (162*2π)/10937 weeks
163-.36508 .60667 (163*2π)/10937 weeks
164.45668 .2198 (164*2π)/10937 weeks
165.97936 .15145 (165*2π)/10937 weeks
1661.21867 .75992 (166*2π)/10937 weeks
167.66295 .97396 (167*2π)/10937 weeks
168.20458 .24241 (168*2π)/10937 weeks
1691.16171 -.75133 (169*2π)/10936 weeks
1702.45972 -.18836 (170*2π)/10936 weeks
1712.62255 1.32044 (171*2π)/10936 weeks
1721.86625 1.63622 (172*2π)/10936 weeks
1731.42563 1.79486 (173*2π)/10936 weeks
174.93091 1.3248 (174*2π)/10936 weeks
1751.53948 1.01597 (175*2π)/10936 weeks
1761.88267 1.93723 (176*2π)/10936 weeks
177.89018 2.3718 (177*2π)/10936 weeks
178.00878 1.83823 (178*2π)/10936 weeks
179.16957 .43498 (179*2π)/10936 weeks
1801.73647 .39654 (180*2π)/10936 weeks
1812.02861 1.78324 (181*2π)/10936 weeks
1821.2665 2.49148 (182*2π)/10936 weeks
183.1974 2.59763 (183*2π)/10936 weeks
184-.53438 1.35259 (184*2π)/10936 weeks
185.52045 .43336 (185*2π)/10936 weeks
1861.38628 1.11975 (186*2π)/10936 weeks
1871.06376 2.24331 (187*2π)/10936 weeks
188-.48649 2.21645 (188*2π)/10936 weeks
189-.71481 .42929 (189*2π)/10936 weeks
190.88443 .06262 (190*2π)/10936 weeks
1911.60385 1.02422 (191*2π)/10936 weeks
1921.14413 2.23592 (192*2π)/10936 weeks
193-.39615 2.08352 (193*2π)/10936 weeks
194-.53169 .85712 (194*2π)/10936 weeks
195.014 .40034 (195*2π)/10936 weeks
196.5506 .52222 (196*2π)/10936 weeks
197.69932 .71342 (197*2π)/10936 weeks
198.57023 .67647 (198*2π)/10936 weeks
199.89552 .53222 (199*2π)/10935 weeks
2001.36727 1.05181 (200*2π)/10935 weeks
201.83064 1.79787 (201*2π)/10935 weeks
202-.15101 1.55631 (202*2π)/10935 weeks
203-.10861 .24289 (203*2π)/10935 weeks
2041.3807 .24368 (204*2π)/10935 weeks
2051.50459 1.73307 (205*2π)/10935 weeks
206-.08317 2.25722 (206*2π)/10935 weeks
207-1.18949 .74564 (207*2π)/10935 weeks
208.15537 -1.17205 (208*2π)/10935 weeks
2092.42559 -.04761 (209*2π)/10935 weeks
2101.96441 1.9981 (210*2π)/10935 weeks
211.35126 2.38283 (211*2π)/10935 weeks
212-.91854 1.14045 (212*2π)/10935 weeks
213.01822 -.60906 (213*2π)/10935 weeks
2141.91026 -.26494 (214*2π)/10935 weeks
2152.22464 1.62704 (215*2π)/10935 weeks
216.76798 2.35818 (216*2π)/10935 weeks
217-.15056 1.44165 (217*2π)/10935 weeks
218.21332 .49065 (218*2π)/10935 weeks
2191.13897 .56987 (219*2π)/10935 weeks
2201.42389 1.37351 (220*2π)/10935 weeks
221.95386 1.97552 (221*2π)/10935 weeks
222.223 2.01155 (222*2π)/10935 weeks
223-.19811 1.65014 (223*2π)/10935 weeks
224-.21435 1.00555 (224*2π)/10935 weeks
225.10126 .97054 (225*2π)/10935 weeks
226.04414 1.15913 (226*2π)/10935 weeks
227-.38106 .73688 (227*2π)/10935 weeks
228.03891 .35621 (228*2π)/10935 weeks
229.30996 -.01823 (229*2π)/10935 weeks
2301.36926 .21118 (230*2π)/10935 weeks
2311.37308 1.38731 (231*2π)/10935 weeks
232.24453 1.634 (232*2π)/10935 weeks
233.17798 .75352 (233*2π)/10935 weeks
234.69424 .61983 (234*2π)/10935 weeks
2351.25121 1.14523 (235*2π)/10935 weeks
236.64108 2.11265 (236*2π)/10935 weeks
237-.27813 1.53056 (237*2π)/10935 weeks
238-.34462 .99886 (238*2π)/10935 weeks
239.16976 .40938 (239*2π)/10935 weeks
2401.02808 .95629 (240*2π)/10935 weeks
241.46333 2.02613 (241*2π)/10935 weeks
242-.79533 1.73643 (242*2π)/10935 weeks
243-1.08091 .3327 (243*2π)/10934 weeks
244.53736 -.38414 (244*2π)/10934 weeks
2451.31906 1.21491 (245*2π)/10934 weeks
246.18385 2.13468 (246*2π)/10934 weeks
247-.90251 1.54362 (247*2π)/10934 weeks
248-.68303 .53564 (248*2π)/10934 weeks
249.02368 .91446 (249*2π)/10934 weeks
250-.72983 1.47038 (250*2π)/10934 weeks
251-1.72915 .77319 (251*2π)/10934 weeks
252-1.54623 -.60398 (252*2π)/10934 weeks
253-.48555 -1.25374 (253*2π)/10934 weeks
254.5099 -.92306 (254*2π)/10934 weeks
255.94118 -.29 (255*2π)/10934 weeks
256.80352 .24096 (256*2π)/10934 weeks
257.48789 .5581 (257*2π)/10934 weeks
258-.12916 .38271 (258*2π)/10934 weeks
259.20385 -.12413 (259*2π)/10934 weeks
260.53988 .05596 (260*2π)/10934 weeks
261.43507 .28281 (261*2π)/10934 weeks
262.38384 .41821 (262*2π)/10934 weeks
263.07818 .33912 (263*2π)/10934 weeks
264-.1737 .22846 (264*2π)/10934 weeks
265-.21767 -.48213 (265*2π)/10934 weeks
266.7223 -.74508 (266*2π)/10934 weeks
2671.32613 .02255 (267*2π)/10934 weeks
268.62444 .89392 (268*2π)/10934 weeks
269-.24822 .56554 (269*2π)/10934 weeks
270-.40673 -.35554 (270*2π)/10934 weeks
271.3129 -.91497 (271*2π)/10934 weeks
272.99801 -.49075 (272*2π)/10934 weeks
273.83825 -.01123 (273*2π)/10934 weeks
274.59045 -.16228 (274*2π)/10934 weeks
275.74745 -.4741 (275*2π)/10934 weeks
2761.14859 -.27938 (276*2π)/10934 weeks
2771.1093 -.03387 (277*2π)/10934 weeks
2781.09884 .03794 (278*2π)/10934 weeks
279.95404 .25671 (279*2π)/10934 weeks
280.79861 .11343 (280*2π)/10934 weeks
281.6818 -.18718 (281*2π)/10934 weeks
2821.27955 -.64817 (282*2π)/10934 weeks
2831.98822 .14365 (283*2π)/10934 weeks
2841.33593 1.04447 (284*2π)/10934 weeks
285.47636 .71462 (285*2π)/10934 weeks
286.20834 -.22159 (286*2π)/10934 weeks
2871.16083 -.8838 (287*2π)/10934 weeks
2882.08945 -.39767 (288*2π)/10934 weeks
2892.22229 .565 (289*2π)/10934 weeks
2901.47487 1.06799 (290*2π)/10934 weeks
291.88709 .45638 (291*2π)/10934 weeks
2921.62704 -.03528 (292*2π)/10934 weeks
2932.2709 .53167 (293*2π)/10934 weeks
2942.06585 1.73425 (294*2π)/10934 weeks
295.83911 1.88532 (295*2π)/10934 weeks
296.29619 1.03508 (296*2π)/10934 weeks
297.69552 .30105 (297*2π)/10934 weeks
2981.5998 .40707 (298*2π)/10934 weeks
2991.70502 1.46247 (299*2π)/10934 weeks
300.72188 1.69919 (300*2π)/10934 weeks
301.33176 1.00133 (301*2π)/10934 weeks
302.83104 .57352 (302*2π)/10934 weeks
3031.10786 1.16939 (303*2π)/10934 weeks
304.71711 1.19033 (304*2π)/10934 weeks
305.75618 1.13964 (305*2π)/10934 weeks
306.61995 1.24982 (306*2π)/10934 weeks
307.3445 1.10717 (307*2π)/10934 weeks
308.36198 .78208 (308*2π)/10934 weeks
309.87822 .71268 (309*2π)/10934 weeks
310.90973 1.52948 (310*2π)/10934 weeks
311-.07395 1.57658 (311*2π)/10934 weeks
312-.25343 .75521 (312*2π)/10934 weeks
313.07932 .34095 (313*2π)/10933 weeks
314.72152 .44869 (314*2π)/10933 weeks
315.68503 .93812 (315*2π)/10933 weeks
316.45354 1.22392 (316*2π)/10933 weeks
317-.13491 1.16301 (317*2π)/10933 weeks
318-.23636 .52155 (318*2π)/10933 weeks
319.15044 .40338 (319*2π)/10933 weeks
320.2722 .42501 (320*2π)/10933 weeks
321.36451 .71352 (321*2π)/10933 weeks
322-.17414 .87299 (322*2π)/10933 weeks
323-.68123 .13855 (323*2π)/10933 weeks
324.02509 -.62783 (324*2π)/10933 weeks
325.76884 -.53242 (325*2π)/10933 weeks
3261.23358 .01428 (326*2π)/10933 weeks
327.97639 .58587 (327*2π)/10933 weeks
328.52907 .54599 (328*2π)/10933 weeks
329.58469 .43315 (329*2π)/10933 weeks
330.57224 .20442 (330*2π)/10933 weeks
331.98175 .16108 (331*2π)/10933 weeks
3321.12043 .86761 (332*2π)/10933 weeks
333.29873 .9583 (333*2π)/10933 weeks
334.12879 .19905 (334*2π)/10933 weeks
335.84055 -.16359 (335*2π)/10933 weeks
3361.47525 .299 (336*2π)/10933 weeks
3371.41135 1.459 (337*2π)/10933 weeks
338.02813 1.57706 (338*2π)/10933 weeks
339-.35818 .35965 (339*2π)/10933 weeks
340.75666 -.3587 (340*2π)/10933 weeks
3411.74881 .62144 (341*2π)/10933 weeks
3421.11673 2.06875 (342*2π)/10933 weeks
343-.50372 1.99137 (343*2π)/10933 weeks
344-1.22123 .71157 (344*2π)/10933 weeks
345-.59517 -.66493 (345*2π)/10933 weeks
346.94905 -.60194 (346*2π)/10933 weeks
3471.1946 .52566 (347*2π)/10933 weeks
348.66558 1.22781 (348*2π)/10933 weeks
349-.50725 .93711 (349*2π)/10933 weeks
350-.25347 -.38672 (350*2π)/10933 weeks
351.87305 -.38875 (351*2π)/10933 weeks
3521.26839 .46678 (352*2π)/10933 weeks
353.73091 1.15344 (353*2π)/10933 weeks
354-.06264 .92172 (354*2π)/10933 weeks
355.00154 .30115 (355*2π)/10933 weeks
356.28179 .18725 (356*2π)/10933 weeks
357.37832 .23235 (357*2π)/10933 weeks
358.50693 .29256 (358*2π)/10933 weeks
359.45489 .27138 (359*2π)/10933 weeks
360.77004 .40489 (360*2π)/10933 weeks
361.40963 .77083 (361*2π)/10933 weeks
362.24442 .40801 (362*2π)/10933 weeks
363.35384 .52104 (363*2π)/10933 weeks
364.23938 .27726 (364*2π)/10933 weeks
365.53112 .16079 (365*2π)/10933 weeks
366.79727 .5264 (366*2π)/10933 weeks
367.42849 .96858 (367*2π)/10933 weeks
368-.19531 .81929 (368*2π)/10933 weeks
369-.24229 .02965 (369*2π)/10933 weeks
370.69837 -.19039 (370*2π)/10933 weeks
371.93038 1.0151 (371*2π)/10933 weeks
372-.4644 1.42812 (372*2π)/10933 weeks
373-1.34424 .1926 (373*2π)/10933 weeks
374-.53806 -1.1873 (374*2π)/10933 weeks
375.95726 -1.07766 (375*2π)/10933 weeks
3761.40168 .30771 (376*2π)/10933 weeks
377.27622 .97129 (377*2π)/10933 weeks
378-.65373 -.00447 (378*2π)/10933 weeks
379.16025 -1.00884 (379*2π)/10933 weeks
3801.31105 -.69148 (380*2π)/10933 weeks
3811.60798 .53978 (381*2π)/10933 weeks
382.50004 1.3262 (382*2π)/10933 weeks
383-.78155 .58067 (383*2π)/10933 weeks
384-.39621 -.95494 (384*2π)/10933 weeks
385.92596 -1.13446 (385*2π)/10933 weeks
3861.77873 -.25121 (386*2π)/10933 weeks
3871.43159 1.11361 (387*2π)/10933 weeks
388-.1529 1.15228 (388*2π)/10933 weeks
389-.46326 -.24259 (389*2π)/10933 weeks
390.43081 -.88969 (390*2π)/10933 weeks
3911.41668 -.53769 (391*2π)/10933 weeks
3921.53409 .70881 (392*2π)/10933 weeks
393.26876 1.13269 (393*2π)/10933 weeks
394-.56215 .06768 (394*2π)/10933 weeks
395.24048 -1.22953 (395*2π)/10933 weeks
3961.80557 -.80975 (396*2π)/10933 weeks
3971.86464 .54114 (397*2π)/10933 weeks
3981.08391 1.20724 (398*2π)/10933 weeks
399-.14908 1.02644 (399*2π)/10933 weeks
400-.23748 -.5315 (400*2π)/10933 weeks
4011.01091 -.87695 (401*2π)/10933 weeks
4021.86985 -.2663 (402*2π)/10933 weeks
4031.91261 .93393 (403*2π)/10933 weeks
404.81605 1.49474 (404*2π)/10933 weeks
405-.03054 .85097 (405*2π)/10933 weeks
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