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Fourier Analysis of MSH (MORGAN STANLEY TECH)


MSH (MORGAN STANLEY TECH) appears to have interesting cyclic behaviour every 74 weeks (32.2976*sine), 48 weeks (29.5317*sine), and 63 weeks (24.7535*sine).

MSH (MORGAN STANLEY TECH) has an average price of 633.04 (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 6/7/2001 to 1/16/2017 for MSH (MORGAN STANLEY TECH), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
0633.0449   0 
1111.7317 -191.2845 (1*2π)/816816 weeks
210.13854 -170.4803 (2*2π)/816408 weeks
333.12731 -96.48548 (3*2π)/816272 weeks
4-18.85777 -56.4332 (4*2π)/816204 weeks
559.25592 -37.81236 (5*2π)/816163 weeks
65.72524 -25.44939 (6*2π)/816136 weeks
728.55835 -24.49401 (7*2π)/816117 weeks
8-1.05443 -3.30389 (8*2π)/816102 weeks
91.16523 -29.47854 (9*2π)/81691 weeks
10-3.92262 -15.07919 (10*2π)/81682 weeks
1113.95552 -32.29763 (11*2π)/81674 weeks
12-13.86289 -21.23095 (12*2π)/81668 weeks
1313.34333 -24.75346 (13*2π)/81663 weeks
14-8.1833 -18.64222 (14*2π)/81658 weeks
15-1.90786 -19.3759 (15*2π)/81654 weeks
16-1.50363 -20.22752 (16*2π)/81651 weeks
17-.29698 -29.53173 (17*2π)/81648 weeks
181.62474 -4.6188 (18*2π)/81645 weeks
19-3.42093 -22.83876 (19*2π)/81643 weeks
203.50614 -7.93477 (20*2π)/81641 weeks
21-2.91121 -12.85731 (21*2π)/81639 weeks
225.23912 -12.64312 (22*2π)/81637 weeks
232.23898 -2.77386 (23*2π)/81635 weeks
241.24522 -3.51191 (24*2π)/81634 weeks
253.25812 -6.62706 (25*2π)/81633 weeks
263.48754 -14.38723 (26*2π)/81631 weeks
272.49813 -2.78336 (27*2π)/81630 weeks
281.76255 -12.20648 (28*2π)/81629 weeks
292.49241 -9.40883 (29*2π)/81628 weeks
30-.16806 -7.39555 (30*2π)/81627 weeks
315.04224 -6.75167 (31*2π)/81626 weeks
322.42117 -4.39833 (32*2π)/81626 weeks
33-3.2452 -5.13076 (33*2π)/81625 weeks
34-4.43325 -3.03172 (34*2π)/81624 weeks
351.20278 1.58496 (35*2π)/81623 weeks
36-1.20755 -1.11991 (36*2π)/81623 weeks
371.55244 -.15702 (37*2π)/81622 weeks
38-.25582 -2.94276 (38*2π)/81621 weeks
396.70733 -4.28648 (39*2π)/81621 weeks
40-2.83706 -7.53075 (40*2π)/81620 weeks
414.57989 -4.90907 (41*2π)/81620 weeks
42.25284 -3.67064 (42*2π)/81619 weeks
43-.11053 -5.38634 (43*2π)/81619 weeks
44-2.92956 -6.63685 (44*2π)/81619 weeks
45-1.9996 -10.22899 (45*2π)/81618 weeks
46-7.30978 -3.24582 (46*2π)/81618 weeks
47-.96608 -6.37914 (47*2π)/81617 weeks
48-4.22668 -3.33608 (48*2π)/81617 weeks
49-6.48959 -5.14558 (49*2π)/81617 weeks
50-.75735 1.15684 (50*2π)/81616 weeks
51-.40717 -9.00975 (51*2π)/81616 weeks
52-2.43411 -2.58474 (52*2π)/81616 weeks
53.67653 -2.55657 (53*2π)/81615 weeks
541.7379 -6.34313 (54*2π)/81615 weeks
55-1.74284 -4.54437 (55*2π)/81615 weeks
56-2.60275 -2.93573 (56*2π)/81615 weeks
571.75157 -2.86882 (57*2π)/81614 weeks
58-3.61437 -8.47471 (58*2π)/81614 weeks
59-1.92209 -.92815 (59*2π)/81614 weeks
60.42184 -7.4929 (60*2π)/81614 weeks
61-3.30888 -7.33387 (61*2π)/81613 weeks
62-2.54766 -2.93529 (62*2π)/81613 weeks
631.22475 -1.8392 (63*2π)/81613 weeks
64-1.62963 -3.96156 (64*2π)/81613 weeks
65.4839 -3.10336 (65*2π)/81613 weeks
66.26644 -4.67717 (66*2π)/81612 weeks
671.5741 -4.18241 (67*2π)/81612 weeks
68-5.33966 -2.93833 (68*2π)/81612 weeks
69-2.83163 -2.64693 (69*2π)/81612 weeks
70-2.96612 -1.4083 (70*2π)/81612 weeks
711.95366 -4.33386 (71*2π)/81611 weeks
721.02878 -.63895 (72*2π)/81611 weeks
731.75722 -3.72835 (73*2π)/81611 weeks
74.47498 -8.81129 (74*2π)/81611 weeks
75-1.3867 -3.58862 (75*2π)/81611 weeks
762.26073 -5.9973 (76*2π)/81611 weeks
772.52192 -6.22426 (77*2π)/81611 weeks
78-3.52788 -3.35318 (78*2π)/81610 weeks
79.97262 -.61945 (79*2π)/81610 weeks
80-.65538 -4.13675 (80*2π)/81610 weeks
81-2.48613 -2.22213 (81*2π)/81610 weeks
82-.9027 -1.4638 (82*2π)/81610 weeks
83-.3971 -1.96346 (83*2π)/81610 weeks
84-1.15049 -1.69421 (84*2π)/81610 weeks
85-1.41104 .00531 (85*2π)/81610 weeks
86.06923 -3.23692 (86*2π)/8169 weeks
87.22144 -3.04062 (87*2π)/8169 weeks
88-2.53683 -1.48087 (88*2π)/8169 weeks
891.04375 .8802 (89*2π)/8169 weeks
90.05558 -4.02398 (90*2π)/8169 weeks
91-1.84566 -1.16144 (91*2π)/8169 weeks
92-1.43195 .75465 (92*2π)/8169 weeks
931.21964 -3.45176 (93*2π)/8169 weeks
94-3.28358 -4.08833 (94*2π)/8169 weeks
95-1.25912 -1.16747 (95*2π)/8169 weeks
961.19947 -2.68426 (96*2π)/8169 weeks
97-.91053 -2.96959 (97*2π)/8168 weeks
98.7936 -2.04464 (98*2π)/8168 weeks
993.09246 -2.17693 (99*2π)/8168 weeks
100-2.53091 -5.32867 (100*2π)/8168 weeks
101-1.90549 .3787 (101*2π)/8168 weeks
102.62035 -2.57389 (102*2π)/8168 weeks
103.05056 -2.65523 (103*2π)/8168 weeks
104-3.12475 -1.08393 (104*2π)/8168 weeks
1051.79223 -.49185 (105*2π)/8168 weeks
106.74164 -2.15224 (106*2π)/8168 weeks
107-2.43604 -3.65611 (107*2π)/8168 weeks
108-2.45557 -1.57578 (108*2π)/8168 weeks
109-.82414 -3.3994 (109*2π)/8167 weeks
110-3.09907 -2.65911 (110*2π)/8167 weeks
111-2.9148 -.69765 (111*2π)/8167 weeks
112-1.01877 -.78391 (112*2π)/8167 weeks
1131.2498 -3.35492 (113*2π)/8167 weeks
114-3.72346 -4.01832 (114*2π)/8167 weeks
1151.15236 1.09308 (115*2π)/8167 weeks
116.24575 -4.43321 (116*2π)/8167 weeks
117-3.23915 -2.08332 (117*2π)/8167 weeks
118.12642 .03901 (118*2π)/8167 weeks
1191.19405 -2.24293 (119*2π)/8167 weeks
120-2.38326 -4.10416 (120*2π)/8167 weeks
121-1.38409 1.93359 (121*2π)/8167 weeks
1221.28653 -3.6585 (122*2π)/8167 weeks
123-1.03874 -4.00901 (123*2π)/8167 weeks
124-3.34144 -2.24741 (124*2π)/8167 weeks
1252.40182 -1.62013 (125*2π)/8167 weeks
126-.48413 -6.73526 (126*2π)/8166 weeks
127-.42486 .38008 (127*2π)/8166 weeks
128-.27883 -2.34218 (128*2π)/8166 weeks
1291.3698 -2.06842 (129*2π)/8166 weeks
130-4.1461 -3.66762 (130*2π)/8166 weeks
131-.25695 .90728 (131*2π)/8166 weeks
132-.38453 -2.95466 (132*2π)/8166 weeks
133-1.46281 .22715 (133*2π)/8166 weeks
134-2.43588 .47346 (134*2π)/8166 weeks
1351.98941 -.02528 (135*2π)/8166 weeks
136-2.25956 -3.56571 (136*2π)/8166 weeks
137-.38392 .67034 (137*2π)/8166 weeks
138-.15345 -1.85076 (138*2π)/8166 weeks
139.31636 -1.08254 (139*2π)/8166 weeks
140-1.84829 -2.2018 (140*2π)/8166 weeks
141.4524 .89753 (141*2π)/8166 weeks
142-.3806 -3.28287 (142*2π)/8166 weeks
143-1.34142 -.97473 (143*2π)/8166 weeks
144-.48652 -.41765 (144*2π)/8166 weeks
145.81742 -1.84561 (145*2π)/8166 weeks
146-1.15623 -3.32393 (146*2π)/8166 weeks
147-1.00684 1.4637 (147*2π)/8166 weeks
1482.07979 -2.73529 (148*2π)/8166 weeks
149-1.14463 -1.6365 (149*2π)/8165 weeks
150-2.5479 -.7453 (150*2π)/8165 weeks
151-.15085 1.16882 (151*2π)/8165 weeks
152-2.26013 -3.60098 (152*2π)/8165 weeks
153-3.39558 .13768 (153*2π)/8165 weeks
154-.09026 -1.44247 (154*2π)/8165 weeks
155-.00732 -2.17964 (155*2π)/8165 weeks
156-3.25273 -3.96075 (156*2π)/8165 weeks
157-.48808 2.29187 (157*2π)/8165 weeks
158.25688 -3.97434 (158*2π)/8165 weeks
159-1.07856 -1.22717 (159*2π)/8165 weeks
160-1.47793 -1.39227 (160*2π)/8165 weeks
1612.05657 -.74761 (161*2π)/8165 weeks
162-2.75744 -4.4997 (162*2π)/8165 weeks
163-1.26284 .56459 (163*2π)/8165 weeks
164-.90108 -2.15735 (164*2π)/8165 weeks
165-.85682 -1.55853 (165*2π)/8165 weeks
166-3.43468 -2.07889 (166*2π)/8165 weeks
167.92433 1.43423 (167*2π)/8165 weeks
168-.21593 -2.95452 (168*2π)/8165 weeks
169-1.73055 -1.21776 (169*2π)/8165 weeks
170-1.33953 .73573 (170*2π)/8165 weeks
1711.32966 -.79593 (171*2π)/8165 weeks
172-2.72389 -3.1019 (172*2π)/8165 weeks
173-.72203 1.16654 (173*2π)/8165 weeks
174.81827 -2.44154 (174*2π)/8165 weeks
175-1.67863 -2.45243 (175*2π)/8165 weeks
176-2.00526 -.84892 (176*2π)/8165 weeks
177.25441 -.50941 (177*2π)/8165 weeks
178-2.19003 -5.65995 (178*2π)/8165 weeks
179-3.28414 -.08053 (179*2π)/8165 weeks
180.19007 -.47461 (180*2π)/8165 weeks
181.05674 -2.75518 (181*2π)/8165 weeks
182-2.27177 -2.12405 (182*2π)/8164 weeks
183-.2189 .25741 (183*2π)/8164 weeks
184.59841 -1.82486 (184*2π)/8164 weeks
185-1.27801 -.18629 (185*2π)/8164 weeks
186-.25638 -.10259 (186*2π)/8164 weeks
1872.29859 -.96462 (187*2π)/8164 weeks
188-.57422 -4.10182 (188*2π)/8164 weeks
189-.5956 .90089 (189*2π)/8164 weeks
190.10243 -2.17353 (190*2π)/8164 weeks
191-.89295 -1.8645 (191*2π)/8164 weeks
192-2.88992 -2.1367 (192*2π)/8164 weeks
193.66599 1.40115 (193*2π)/8164 weeks
194.44292 -4.00439 (194*2π)/8164 weeks
195-2.5693 -.74798 (195*2π)/8164 weeks
196-1.22142 .09033 (196*2π)/8164 weeks
197-.91458 -1.50131 (197*2π)/8164 weeks
198-2.22217 -2.61308 (198*2π)/8164 weeks
199-2.59125 2.31423 (199*2π)/8164 weeks
200.68223 -1.24172 (200*2π)/8164 weeks
201-.80079 -.06173 (201*2π)/8164 weeks
202-1.29315 -.38422 (202*2π)/8164 weeks
203.46657 .64896 (203*2π)/8164 weeks
204.19139 -4.87278 (204*2π)/8164 weeks
205-3.13665 -.39543 (205*2π)/8164 weeks
206-.38256 -.87219 (206*2π)/8164 weeks
207-.63996 -2.50619 (207*2π)/8164 weeks
208-3.50744 -2.83162 (208*2π)/8164 weeks
209-1.76813 .91957 (209*2π)/8164 weeks
2101.29691 -3.10171 (210*2π)/8164 weeks
211-3.22381 -1.2912 (211*2π)/8164 weeks
212-1.73327 .16744 (212*2π)/8164 weeks
213.7603 -.41619 (213*2π)/8164 weeks
214-1.60009 -2.35289 (214*2π)/8164 weeks
215-1.51766 2.15807 (215*2π)/8164 weeks
2161.38924 -.69809 (216*2π)/8164 weeks
217-.35341 -1.32672 (217*2π)/8164 weeks
218-1.83364 -1.11045 (218*2π)/8164 weeks
219.28101 .62225 (219*2π)/8164 weeks
220-.14048 -3.41393 (220*2π)/8164 weeks
221-3.01313 .72232 (221*2π)/8164 weeks
222-.36316 .66249 (222*2π)/8164 weeks
223-.40685 -.42182 (223*2π)/8164 weeks
224-2.65052 -1.94217 (224*2π)/8164 weeks
225-.52972 1.7653 (225*2π)/8164 weeks
226.42782 -1.99519 (226*2π)/8164 weeks
227-1.70068 -.98709 (227*2π)/8164 weeks
228-1.41639 -.49063 (228*2π)/8164 weeks
229.8859 1.57937 (229*2π)/8164 weeks
230-.66332 -2.43149 (230*2π)/8164 weeks
231-2.76431 1.17672 (231*2π)/8164 weeks
232.84223 -.74249 (232*2π)/8164 weeks
233.75123 -1.30742 (233*2π)/8164 weeks
234-1.14536 -2.45432 (234*2π)/8163 weeks
235-.76318 2.56157 (235*2π)/8163 weeks
2361.57451 -1.48852 (236*2π)/8163 weeks
237-2.80849 -.9491 (237*2π)/8163 weeks
238-.84043 .25241 (238*2π)/8163 weeks
239.95384 .26494 (239*2π)/8163 weeks
240-1.96444 -2.6516 (240*2π)/8163 weeks
241-2.54418 2.20018 (241*2π)/8163 weeks
242.41396 -.19047 (242*2π)/8163 weeks
243-.76715 -1.16712 (243*2π)/8163 weeks
244-1.82157 -1.65977 (244*2π)/8163 weeks
245-.19878 1.59208 (245*2π)/8163 weeks
2461.08282 -2.71473 (246*2π)/8163 weeks
247-1.68853 .71156 (247*2π)/8163 weeks
248.09337 .02621 (248*2π)/8163 weeks
2491.50525 -.19723 (249*2π)/8163 weeks
250-1.75802 -2.16589 (250*2π)/8163 weeks
251-1.65899 2.03946 (251*2π)/8163 weeks
2521.59166 -1.5113 (252*2π)/8163 weeks
253-1.44863 -.59459 (253*2π)/8163 weeks
254-1.11114 -.36897 (254*2π)/8163 weeks
255.95828 1.03518 (255*2π)/8163 weeks
256-.64464 -2.81879 (256*2π)/8163 weeks
257-3.41356 .92736 (257*2π)/8163 weeks
258.3697 .23746 (258*2π)/8163 weeks
259-.74576 -1.52177 (259*2π)/8163 weeks
260-2.96284 -1.1534 (260*2π)/8163 weeks
261-1.39967 1.71667 (261*2π)/8163 weeks
262.60532 -1.74591 (262*2π)/8163 weeks
263-2.74335 -1.01304 (263*2π)/8163 weeks
264-.19645 -.3345 (264*2π)/8163 weeks
265-.00852 -.86277 (265*2π)/8163 weeks
266-.97112 -3.43539 (266*2π)/8163 weeks
267-2.63969 .93207 (267*2π)/8163 weeks
2681.87691 -1.57439 (268*2π)/8163 weeks
269-.93986 -1.71375 (269*2π)/8163 weeks
270-1.75853 -1.75137 (270*2π)/8163 weeks
271-.80108 .58076 (271*2π)/8163 weeks
272.22026 -3.30133 (272*2π)/8163 weeks
273-2.87308 .16511 (273*2π)/8163 weeks
274.91742 .21318 (274*2π)/8163 weeks
275.07582 -.77534 (275*2π)/8163 weeks
276-1.40575 -2.66962 (276*2π)/8163 weeks
277-.38533 1.94145 (277*2π)/8163 weeks
2781.97329 -1.77213 (278*2π)/8163 weeks
279-1.8718 -1.42169 (279*2π)/8163 weeks
280-1.47749 -.09871 (280*2π)/8163 weeks
281-.59443 .1872 (281*2π)/8163 weeks
282-.1037 -3.40229 (282*2π)/8163 weeks
283-2.60289 .59964 (283*2π)/8163 weeks
2841.25974 .33116 (284*2π)/8163 weeks
285-.70832 -1.10497 (285*2π)/8163 weeks
286-.79594 -1.98011 (286*2π)/8163 weeks
287-.07342 1.68655 (287*2π)/8163 weeks
288.99011 -2.11156 (288*2π)/8163 weeks
289-1.57776 -1.60012 (289*2π)/8163 weeks
290-1.29839 .06056 (290*2π)/8163 weeks
291.74683 .38525 (291*2π)/8163 weeks
292-.87935 -2.6375 (292*2π)/8163 weeks
293-2.0542 .89586 (293*2π)/8163 weeks
2941.61 .50787 (294*2π)/8163 weeks
295-1.13198 -.95275 (295*2π)/8163 weeks
296-1.3408 .00838 (296*2π)/8163 weeks
297.09436 2.40256 (297*2π)/8163 weeks
2981.79315 -2.96307 (298*2π)/8163 weeks
299-3.29259 .30374 (299*2π)/8163 weeks
300.32457 1.50318 (300*2π)/8163 weeks
301.94221 -.25564 (301*2π)/8163 weeks
302-1.89705 -1.42792 (302*2π)/8163 weeks
303-1.6482 2.59261 (303*2π)/8163 weeks
3042.44732 -1.07263 (304*2π)/8163 weeks
305-2.319 -1.51759 (305*2π)/8163 weeks
306-.83212 -.37477 (306*2π)/8163 weeks
307-.50816 .7423 (307*2π)/8163 weeks
308.65808 -2.29335 (308*2π)/8163 weeks
309-3.44727 .81116 (309*2π)/8163 weeks
3101.69194 .17301 (310*2π)/8163 weeks
311-.60515 -1.08535 (311*2π)/8163 weeks
312-1.32637 -1.39022 (312*2π)/8163 weeks
313-1.07827 1.41614 (313*2π)/8163 weeks
3141.53087 -2.27587 (314*2π)/8163 weeks
315-3.09497 -.97138 (315*2π)/8163 weeks
316-.47168 1.14268 (316*2π)/8163 weeks
317-.04206 1.41967 (317*2π)/8163 weeks
318.05137 -1.75001 (318*2π)/8163 weeks
319-3.08243 1.74597 (319*2π)/8163 weeks
3201.83403 -.5008 (320*2π)/8163 weeks
321-1.10954 -1.36048 (321*2π)/8163 weeks
322-1.38838 -1.17247 (322*2π)/8163 weeks
323-.63752 2.0113 (323*2π)/8163 weeks
324.65827 -2.30834 (324*2π)/8163 weeks
325-3.85857 .64804 (325*2π)/8163 weeks
326.21087 1.37065 (326*2π)/8163 weeks
327.2072 -.4005 (327*2π)/8162 weeks
328-1.36684 -.89944 (328*2π)/8162 weeks
329-2.0092 1.58391 (329*2π)/8162 weeks
3301.66781 -.77957 (330*2π)/8162 weeks
331-2.37376 -1.18955 (331*2π)/8162 weeks
332-.95954 .22949 (332*2π)/8162 weeks
333-.69682 1.48648 (333*2π)/8162 weeks
3341.03037 -2.70044 (334*2π)/8162 weeks
335-3.42764 .532 (335*2π)/8162 weeks
336.84292 .38537 (336*2π)/8162 weeks
337-.44597 -1.16962 (337*2π)/8162 weeks
338-1.38151 -.58937 (338*2π)/8162 weeks
339-2.39759 2.58936 (339*2π)/8162 weeks
3401.62392 -1.19733 (340*2π)/8162 weeks
341-3.34772 -.3766 (341*2π)/8162 weeks
342-.5097 1.24084 (342*2π)/8162 weeks
3431.24016 .25526 (343*2π)/8162 weeks
344-.43808 -2.44832 (344*2π)/8162 weeks
345-2.6777 1.7716 (345*2π)/8162 weeks
3461.26931 -.48237 (346*2π)/8162 weeks
347-.94216 -1.65938 (347*2π)/8162 weeks
348-1.27201 -.33748 (348*2π)/8162 weeks
349-.33332 1.95995 (349*2π)/8162 weeks
3501.00373 -2.06482 (350*2π)/8162 weeks
351-3.13059 .38328 (351*2π)/8162 weeks
352.45609 1.1472 (352*2π)/8162 weeks
353-.18819 -.57496 (353*2π)/8162 weeks
354-.79937 -.6877 (354*2π)/8162 weeks
355-.69979 2.13519 (355*2π)/8162 weeks
3561.59201 -.61089 (356*2π)/8162 weeks
357-2.30823 -1.38224 (357*2π)/8162 weeks
358-.7389 .44124 (358*2π)/8162 weeks
359.21362 .30196 (359*2π)/8162 weeks
360.14309 -1.98341 (360*2π)/8162 weeks
361-3.22468 .92558 (361*2π)/8162 weeks
3621.26066 .8792 (362*2π)/8162 weeks
363-.5185 -.91245 (363*2π)/8162 weeks
364-.73467 -.83727 (364*2π)/8162 weeks
365-1.25227 2.47822 (365*2π)/8162 weeks
3661.72343 -.82571 (366*2π)/8162 weeks
367-2.70049 -1.76473 (367*2π)/8162 weeks
368-.81523 .97131 (368*2π)/8162 weeks
369-.40919 -.07951 (369*2π)/8162 weeks
370-.585 -1.2992 (370*2π)/8162 weeks
371-3.1001 1.73345 (371*2π)/8162 weeks
3722.14845 .65457 (372*2π)/8162 weeks
373-2.36299 -1.83464 (373*2π)/8162 weeks
374-1.51728 .53511 (374*2π)/8162 weeks
375-1.72694 1.64374 (375*2π)/8162 weeks
376.69624 -1.72048 (376*2π)/8162 weeks
377-3.27122 .70423 (377*2π)/8162 weeks
378.4731 1.15158 (378*2π)/8162 weeks
379.05747 -.69494 (379*2π)/8162 weeks
380-1.62228 -1.7156 (380*2π)/8162 weeks
381-2.00359 2.61101 (381*2π)/8162 weeks
3821.4868 -.87048 (382*2π)/8162 weeks
383-1.78761 -1.26204 (383*2π)/8162 weeks
384-1.13327 .82226 (384*2π)/8162 weeks
385-.41133 .23436 (385*2π)/8162 weeks
386.17464 -1.63799 (386*2π)/8162 weeks
387-3.65338 .81317 (387*2π)/8162 weeks
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7913.25812 6.62706 (791*2π)/8161 weeks
7921.24522 3.51191 (792*2π)/8161 weeks
7932.23898 2.77386 (793*2π)/8161 weeks
7945.23912 12.64312 (794*2π)/8161 weeks
795-2.91121 12.85731 (795*2π)/8161 weeks
7963.50614 7.93477 (796*2π)/8161 weeks
797-3.42093 22.83876 (797*2π)/8161 weeks
7981.62474 4.6188 (798*2π)/8161 weeks
799-.29698 29.53173 (799*2π)/8161 weeks
800-1.50363 20.22752 (800*2π)/8161 weeks
801-1.90786 19.3759 (801*2π)/8161 weeks
802-8.1833 18.64222 (802*2π)/8161 weeks
80313.34333 24.75346 (803*2π)/8161 weeks
804-13.86289 21.23095 (804*2π)/8161 weeks
80513.95552 32.29763 (805*2π)/8161 weeks
806-3.92262 15.07919 (806*2π)/8161 weeks
8071.16523 29.47854 (807*2π)/8161 weeks
808-1.05443 3.30389 (808*2π)/8161 weeks
80928.55835 24.49401 (809*2π)/8161 weeks
8105.72524 25.44939 (810*2π)/8161 weeks
81159.25592 37.81236 (811*2π)/8161 weeks
812-18.85777 56.4332 (812*2π)/8161 weeks
81333.12731 96.48548 (813*2π)/8161 weeks
81410.13854 170.4803 (814*2π)/8161 weeks