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Fourier Analysis of HMO (MORGAN STANLEY HEALTHCARE PAYOR)


HMO (MORGAN STANLEY HEALTHCARE PAYOR) appears to have interesting cyclic behaviour every 37 weeks (105.0931*cosine), 52 weeks (93.5865*cosine), and 31 weeks (68.0018*cosine).

HMO (MORGAN STANLEY HEALTHCARE PAYOR) has an average price of 1,624.95 (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 10/4/2001 to 1/16/2017 for HMO (MORGAN STANLEY HEALTHCARE PAYOR), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
01,624.954   0 
196.88055 -528.8763 (1*2π)/672672 weeks
210.04004 -809.161 (2*2π)/672336 weeks
3-24.68672 -201.0073 (3*2π)/672224 weeks
415.16612 -329.1025 (4*2π)/672168 weeks
5-121.1721 -186.6926 (5*2π)/672134 weeks
6-65.73306 -235.5904 (6*2π)/672112 weeks
7-142.3415 -64.37691 (7*2π)/67296 weeks
8-83.22726 -79.98558 (8*2π)/67284 weeks
9-113.2532 -72.80515 (9*2π)/67275 weeks
10-84.24362 -44.71307 (10*2π)/67267 weeks
11-36.42765 -45.54298 (11*2π)/67261 weeks
12-47.75832 -81.56593 (12*2π)/67256 weeks
13-93.58645 -51.34774 (13*2π)/67252 weeks
14-84.72032 -32.05744 (14*2π)/67248 weeks
15-18.19763 -7.12504 (15*2π)/67245 weeks
16-46.42036 -49.21096 (16*2π)/67242 weeks
17-55.96075 -25.1393 (17*2π)/67240 weeks
18-105.0931 -31.83554 (18*2π)/67237 weeks
19-52.87244 31.80151 (19*2π)/67235 weeks
20-41.00086 -15.76285 (20*2π)/67234 weeks
21-33.52735 1.8852 (21*2π)/67232 weeks
22-68.00179 -14.25289 (22*2π)/67231 weeks
23-42.34532 20.52841 (23*2π)/67229 weeks
24-42.98277 13.73924 (24*2π)/67228 weeks
25-40.74155 34.26677 (25*2π)/67227 weeks
26-42.28843 6.76894 (26*2π)/67226 weeks
27-34.16088 24.72253 (27*2π)/67225 weeks
28-27.71125 9.91946 (28*2π)/67224 weeks
29-45.35907 15.99324 (29*2π)/67223 weeks
30-32.59735 25.52748 (30*2π)/67222 weeks
31-33.01497 24.58024 (31*2π)/67222 weeks
32-22.86652 38.92343 (32*2π)/67221 weeks
33-15.17125 17.69189 (33*2π)/67220 weeks
34-35.76081 17.29034 (34*2π)/67220 weeks
35-21.40462 25.18686 (35*2π)/67219 weeks
36-23.43678 39.00302 (36*2π)/67219 weeks
374.72715 21.66929 (37*2π)/67218 weeks
38-27.01963 24.248 (38*2π)/67218 weeks
393.94266 32.97226 (39*2π)/67217 weeks
40-27.61237 24.97404 (40*2π)/67217 weeks
4113.57887 43.59804 (41*2π)/67216 weeks
42-9.55126 17.90049 (42*2π)/67216 weeks
43.33633 35.67376 (43*2π)/67216 weeks
442.66975 22.81268 (44*2π)/67215 weeks
45-2.57207 28.24505 (45*2π)/67215 weeks
46-.70603 26.01865 (46*2π)/67215 weeks
476.09615 32.30333 (47*2π)/67214 weeks
48-.05541 20.65544 (48*2π)/67214 weeks
4916.51781 31.70084 (49*2π)/67214 weeks
509.65813 19.88229 (50*2π)/67213 weeks
514.56625 17.48088 (51*2π)/67213 weeks
5213.95411 14.48258 (52*2π)/67213 weeks
538.32163 32.30322 (53*2π)/67213 weeks
549.274 14.91047 (54*2π)/67212 weeks
5511.11791 20.10457 (55*2π)/67212 weeks
5615.9744 12.23158 (56*2π)/67212 weeks
578.78103 21.02977 (57*2π)/67212 weeks
5824.92855 17.65202 (58*2π)/67212 weeks
5914.86102 12.7553 (59*2π)/67211 weeks
6022.1197 7.03687 (60*2π)/67211 weeks
6119.6074 7.67147 (61*2π)/67211 weeks
6222.2023 .98499 (62*2π)/67211 weeks
636.15635 5.24373 (63*2π)/67211 weeks
6410.81456 9.22491 (64*2π)/67211 weeks
6519.63608 7.99806 (65*2π)/67210 weeks
6620.05763 4.13354 (66*2π)/67210 weeks
6715.30585 2.28678 (67*2π)/67210 weeks
6811.70451 -4.97957 (68*2π)/67210 weeks
6914.78582 6.64418 (69*2π)/67210 weeks
7026.39466 1.91645 (70*2π)/67210 weeks
7118.18185 -14.92017 (71*2π)/6729 weeks
7213.08148 -1.35729 (72*2π)/6729 weeks
7313.70966 -1.01892 (73*2π)/6729 weeks
7419.46769 -2.07805 (74*2π)/6729 weeks
7516.46825 -10.2086 (75*2π)/6729 weeks
767.6743 -10.92571 (76*2π)/6729 weeks
7711.38811 -5.85384 (77*2π)/6729 weeks
788.54369 -5.52742 (78*2π)/6729 weeks
7915.75473 -9.86127 (79*2π)/6729 weeks
80.67932 -11.24148 (80*2π)/6728 weeks
814.83351 -4.07012 (81*2π)/6728 weeks
8210.47872 -6.56512 (82*2π)/6728 weeks
8314.59647 -9.55856 (83*2π)/6728 weeks
844.70511 -20.99972 (84*2π)/6728 weeks
85-2.38527 -10.8682 (85*2π)/6728 weeks
866.42341 -10.30505 (86*2π)/6728 weeks
8711.54515 -11.13555 (87*2π)/6728 weeks
88-3.36174 -16.89871 (88*2π)/6728 weeks
892.82501 -12.9008 (89*2π)/6728 weeks
90-10.19389 -5.67949 (90*2π)/6727 weeks
916.74507 -3.29737 (91*2π)/6727 weeks
924.47335 -12.59779 (92*2π)/6727 weeks
93.37168 -12.59135 (93*2π)/6727 weeks
94-8.3022 -17.1463 (94*2π)/6727 weeks
95-4.405 -3.53956 (95*2π)/6727 weeks
96-3.87045 -15.12692 (96*2π)/6727 weeks
97-9.66684 -3.15594 (97*2π)/6727 weeks
98-2.25935 -7.83834 (98*2π)/6727 weeks
99-8.40891 -6.46192 (99*2π)/6727 weeks
100-.49808 -10.78492 (100*2π)/6727 weeks
101-12.70063 -6.4954 (101*2π)/6727 weeks
102-9.54326 -5.33573 (102*2π)/6727 weeks
103-6.48001 -2.81095 (103*2π)/6727 weeks
104-9.89349 -.88154 (104*2π)/6726 weeks
105-4.97622 -9.47572 (105*2π)/6726 weeks
106-13.91975 -6.9099 (106*2π)/6726 weeks
107-6.46135 -.81599 (107*2π)/6726 weeks
108-11.71667 -1.76146 (108*2π)/6726 weeks
109-9.42427 2.5819 (109*2π)/6726 weeks
110-8.06362 -2.83421 (110*2π)/6726 weeks
111-10.18264 -.75587 (111*2π)/6726 weeks
112-9.10398 -1.64634 (112*2π)/6726 weeks
113-10.26957 4.11311 (113*2π)/6726 weeks
114-8.31548 3.9922 (114*2π)/6726 weeks
115-8.47476 1.43679 (115*2π)/6726 weeks
116-12.37284 3.17064 (116*2π)/6726 weeks
117-6.29522 9.02967 (117*2π)/6726 weeks
118-9.36937 3.68341 (118*2π)/6726 weeks
119-7.38544 5.66703 (119*2π)/6726 weeks
120-7.59142 3.5354 (120*2π)/6726 weeks
121-7.18682 9.27081 (121*2π)/6726 weeks
122-5.64989 7.26038 (122*2π)/6726 weeks
123-6.77144 10.93245 (123*2π)/6725 weeks
124-1.21299 4.01547 (124*2π)/6725 weeks
125-4.63377 5.42882 (125*2π)/6725 weeks
126-10.84448 8.35022 (126*2π)/6725 weeks
127-6.41621 6.4104 (127*2π)/6725 weeks
128-3.49308 15.41937 (128*2π)/6725 weeks
129-.33178 6.95509 (129*2π)/6725 weeks
130-.9025 10.17587 (130*2π)/6725 weeks
131-5.42172 9.08409 (131*2π)/6725 weeks
132-3.00987 11.07203 (132*2π)/6725 weeks
1335.22929 8.37419 (133*2π)/6725 weeks
134-.17404 11.56785 (134*2π)/6725 weeks
1353.77823 9.06196 (135*2π)/6725 weeks
136-.32427 4.70901 (136*2π)/6725 weeks
1374.53254 8.57056 (137*2π)/6725 weeks
1382.16187 7.81381 (138*2π)/6725 weeks
139.22737 10.67145 (139*2π)/6725 weeks
1406.12413 8.63361 (140*2π)/6725 weeks
1413.5046 10.06129 (141*2π)/6725 weeks
1423.7276 9.26039 (142*2π)/6725 weeks
1436.59579 5.81051 (143*2π)/6725 weeks
1446.61118 5.95252 (144*2π)/6725 weeks
1452.92939 5.34877 (145*2π)/6725 weeks
1465.13232 7.43939 (146*2π)/6725 weeks
1477.98024 6.14989 (147*2π)/6725 weeks
1487.47231 7.38817 (148*2π)/6725 weeks
14910.57964 5.64285 (149*2π)/6725 weeks
1507.33245 2.26512 (150*2π)/6724 weeks
15111.45415 6.27729 (151*2π)/6724 weeks
1526.97443 2.45889 (152*2π)/6724 weeks
1538.42505 1.28075 (153*2π)/6724 weeks
15410.37712 -1.66019 (154*2π)/6724 weeks
1555.24693 1.30704 (155*2π)/6724 weeks
1565.14722 1.63272 (156*2π)/6724 weeks
1576.64234 -.47958 (157*2π)/6724 weeks
1586.68798 2.01004 (158*2π)/6724 weeks
1598.66346 4.60027 (159*2π)/6724 weeks
1608.77707 -1.72969 (160*2π)/6724 weeks
16111.58694 -1.90071 (161*2π)/6724 weeks
1628.8002 -3.46056 (162*2π)/6724 weeks
1639.40476 -2.07255 (163*2π)/6724 weeks
1645.77713 -5.72157 (164*2π)/6724 weeks
1655.53957 -3.67366 (165*2π)/6724 weeks
1667.86542 -2.67081 (166*2π)/6724 weeks
1677.7858 -3.57195 (167*2π)/6724 weeks
1686.47588 -7.07759 (168*2π)/6724 weeks
169.15287 -4.3518 (169*2π)/6724 weeks
1706.06046 -4.44735 (170*2π)/6724 weeks
1715.47324 -3.10841 (171*2π)/6724 weeks
1723.71419 -8.11309 (172*2π)/6724 weeks
1734.81953 -7.58777 (173*2π)/6724 weeks
174-1.3231 -5.50093 (174*2π)/6724 weeks
1754.9995 -2.9547 (175*2π)/6724 weeks
1762.70489 -7.08293 (176*2π)/6724 weeks
177.49071 -1.50582 (177*2π)/6724 weeks
1785.65947 -5.06178 (178*2π)/6724 weeks
1794.19931 -7.91468 (179*2π)/6724 weeks
1801.7783 -10.37206 (180*2π)/6724 weeks
181-2.54067 -10.19038 (181*2π)/6724 weeks
182-3.85225 -3.84531 (182*2π)/6724 weeks
183-3.84829 -9.11101 (183*2π)/6724 weeks
184-1.56761 -3.10354 (184*2π)/6724 weeks
1852.84145 -5.03566 (185*2π)/6724 weeks
186-7.12946 -6.78376 (186*2π)/6724 weeks
187-3.48132 -1.54161 (187*2π)/6724 weeks
188-.98814 -3.4896 (188*2π)/6724 weeks
189-2.78693 -1.39711 (189*2π)/6724 weeks
190-2.80913 -6.40727 (190*2π)/6724 weeks
191-2.35883 -5.58879 (191*2π)/6724 weeks
192-5.74596 -3.02787 (192*2π)/6724 weeks
193-3.92125 -2.91087 (193*2π)/6723 weeks
194-4.24056 -3.68041 (194*2π)/6723 weeks
195-5.98322 -3.9851 (195*2π)/6723 weeks
196-6.7225 -1.23554 (196*2π)/6723 weeks
197-4.71082 -1.38943 (197*2π)/6723 weeks
198-6.88113 -2.4596 (198*2π)/6723 weeks
199-6.1929 .74909 (199*2π)/6723 weeks
200-7.32856 .54006 (200*2π)/6723 weeks
201-3.73689 1.16744 (201*2π)/6723 weeks
202-7.18585 .25011 (202*2π)/6723 weeks
203-6.82469 2.81949 (203*2π)/6723 weeks
204-3.72643 3.92387 (204*2π)/6723 weeks
205-2.17574 -1.94327 (205*2π)/6723 weeks
206-6.82823 1.69975 (206*2π)/6723 weeks
207-5.10968 3.11635 (207*2π)/6723 weeks
208-5.8328 2.69548 (208*2π)/6723 weeks
209-3.79283 5.15983 (209*2π)/6723 weeks
210-4.88753 2.76785 (210*2π)/6723 weeks
211-5.29152 3.12394 (211*2π)/6723 weeks
212-3.53956 2.28449 (212*2π)/6723 weeks
213-4.24719 7.23478 (213*2π)/6723 weeks
214-2.09059 5.73211 (214*2π)/6723 weeks
215-4.76099 4.60804 (215*2π)/6723 weeks
216-1.72521 7.33111 (216*2π)/6723 weeks
217-1.53321 5.19028 (217*2π)/6723 weeks
218-3.52759 4.90384 (218*2π)/6723 weeks
219-2.2845 5.88318 (219*2π)/6723 weeks
220.19472 9.94965 (220*2π)/6723 weeks
2211.62242 5.91055 (221*2π)/6723 weeks
2221.11696 6.41584 (222*2π)/6723 weeks
223.34965 2.10091 (223*2π)/6723 weeks
224-.9487 8.02134 (224*2π)/6723 weeks
225-.99331 5.91299 (225*2π)/6723 weeks
2261.23854 5.14128 (226*2π)/6723 weeks
2274.13626 6.79888 (227*2π)/6723 weeks
228-.79185 5.61316 (228*2π)/6723 weeks
2294.24067 4.82485 (229*2π)/6723 weeks
230.28353 5.77378 (230*2π)/6723 weeks
2312.09172 9.20132 (231*2π)/6723 weeks
23210.01125 4.25035 (232*2π)/6723 weeks
2331.00699 5.71674 (233*2π)/6723 weeks
2346.84418 3.14948 (234*2π)/6723 weeks
2352.82368 5.58503 (235*2π)/6723 weeks
2365.81614 4.69181 (236*2π)/6723 weeks
2376.8981 4.62883 (237*2π)/6723 weeks
2387.08859 2.27943 (238*2π)/6723 weeks
2394.11391 -.93782 (239*2π)/6723 weeks
2401.29487 3.76487 (240*2π)/6723 weeks
2414.34526 5.35448 (241*2π)/6723 weeks
2429.00095 1.58987 (242*2π)/6723 weeks
2436.77843 2.39316 (243*2π)/6723 weeks
2443.94865 .35097 (244*2π)/6723 weeks
2455.35293 3.74694 (245*2π)/6723 weeks
2466.80824 1.09256 (246*2π)/6723 weeks
24710.09922 .52826 (247*2π)/6723 weeks
2485.54881 -4.0296 (248*2π)/6723 weeks
2494.29678 .4113 (249*2π)/6723 weeks
2505.87835 -1.99822 (250*2π)/6723 weeks
2516.47178 -.93218 (251*2π)/6723 weeks
2524.91245 -3.85029 (252*2π)/6723 weeks
2534.7923 .38529 (253*2π)/6723 weeks
2545.6837 -4.07795 (254*2π)/6723 weeks
2552.92789 -2.08307 (255*2π)/6723 weeks
2566.61329 -3.959 (256*2π)/6723 weeks
2573.68033 -3.16446 (257*2π)/6723 weeks
2584.1901 -2.31992 (258*2π)/6723 weeks
2594.4632 -4.06893 (259*2π)/6723 weeks
2604.12657 -3.20098 (260*2π)/6723 weeks
2613.17157 -6.63162 (261*2π)/6723 weeks
2623.59814 -4.6095 (262*2π)/6723 weeks
2634.09038 -6.03222 (263*2π)/6723 weeks
2642.53347 -3.36285 (264*2π)/6723 weeks
2653.72466 -6.11098 (265*2π)/6723 weeks
266-2.31224 -7.22826 (266*2π)/6723 weeks
267.86382 -4.17037 (267*2π)/6723 weeks
268-.97951 -4.0453 (268*2π)/6723 weeks
2691.21225 -3.75127 (269*2π)/6722 weeks
270-.02301 -4.79278 (270*2π)/6722 weeks
2712.89396 -5.45687 (271*2π)/6722 weeks
272-.80765 -6.98519 (272*2π)/6722 weeks
273-2.97903 -4.73548 (273*2π)/6722 weeks
274-.93221 -2.05372 (274*2π)/6722 weeks
2751.44318 -5.67834 (275*2π)/6722 weeks
276-1.44469 -7.58288 (276*2π)/6722 weeks
277-2.69475 -6.59335 (277*2π)/6722 weeks
278-5.16369 -4.80932 (278*2π)/6722 weeks
279-4.57778 .76777 (279*2π)/6722 weeks
280-2.16184 -2.92412 (280*2π)/6722 weeks
281-2.68364 -3.41045 (281*2π)/6722 weeks
282-4.32246 -4.56448 (282*2π)/6722 weeks
283-4.31411 -2.25387 (283*2π)/6722 weeks
284-3.49487 -.62463 (284*2π)/6722 weeks
285-4.01655 -2.79944 (285*2π)/6722 weeks
286-4.0257 -1.568 (286*2π)/6722 weeks
287-2.67438 -3.85584 (287*2π)/6722 weeks
288-3.57445 -.46593 (288*2π)/6722 weeks
289-4.45694 -4.28493 (289*2π)/6722 weeks
290-6.98768 -.73613 (290*2π)/6722 weeks
291-4.78249 1.06234 (291*2π)/6722 weeks
292-6.65549 3.35404 (292*2π)/6722 weeks
293.95702 1.36445 (293*2π)/6722 weeks
294-5.50661 .42979 (294*2π)/6722 weeks
295-5.07491 1.17514 (295*2π)/6722 weeks
296-6.44957 1.95579 (296*2π)/6722 weeks
297-3.05605 2.7454 (297*2π)/6722 weeks
298-2.86915 2.40761 (298*2π)/6722 weeks
299-2.11721 2.14467 (299*2π)/6722 weeks
300-4.9401 2.85845 (300*2π)/6722 weeks
301-4.71584 4.86701 (301*2π)/6722 weeks
302-.88993 4.20518 (302*2π)/6722 weeks
303-2.96672 4.88931 (303*2π)/6722 weeks
304-1.58113 2.76522 (304*2π)/6722 weeks
305-3.04326 1.75487 (305*2π)/6722 weeks
306-3.68833 4.71064 (306*2π)/6722 weeks
307-2.19257 4.73617 (307*2π)/6722 weeks
308-4.93883 6.14527 (308*2π)/6722 weeks
309.18053 5.57126 (309*2π)/6722 weeks
3101.61246 7.17392 (310*2π)/6722 weeks
3111.48057 4.4006 (311*2π)/6722 weeks
3121.89379 4.57579 (312*2π)/6722 weeks
313-1.23183 4.05767 (313*2π)/6722 weeks
314-.4006 5.63552 (314*2π)/6722 weeks
3152.4336 5.79458 (315*2π)/6722 weeks
3161.38541 4.78273 (316*2π)/6722 weeks
317.93134 4.21885 (317*2π)/6722 weeks
3181.87699 5.42926 (318*2π)/6722 weeks
3192.9695 5.43954 (319*2π)/6722 weeks
3202.00135 3.45491 (320*2π)/6722 weeks
3212.45111 5.94759 (321*2π)/6722 weeks
3222.37619 5.39088 (322*2π)/6722 weeks
3235.7811 4.24409 (323*2π)/6722 weeks
3245.63111 3.20609 (324*2π)/6722 weeks
3252.92433 2.77883 (325*2π)/6722 weeks
3264.19147 3.80393 (326*2π)/6722 weeks
3273.18823 .45397 (327*2π)/6722 weeks
3286.3845 5.90914 (328*2π)/6722 weeks
3295.83163 1.09112 (329*2π)/6722 weeks
3304.37302 2.52712 (330*2π)/6722 weeks
3316.40129 1.74598 (331*2π)/6722 weeks
3323.80063 1.5918 (332*2π)/6722 weeks
3336.54803 .46673 (333*2π)/6722 weeks
3346.45262 1.17044 (334*2π)/6722 weeks
3355.78555 -1.10638 (335*2π)/6722 weeks
3364.56903   (336*2π)/6722 weeks
3375.78555 1.10638 (337*2π)/6722 weeks
3386.45262 -1.17044 (338*2π)/6722 weeks
3396.54803 -.46673 (339*2π)/6722 weeks
3403.80063 -1.5918 (340*2π)/6722 weeks
3416.40129 -1.74598 (341*2π)/6722 weeks
3424.37302 -2.52712 (342*2π)/6722 weeks
3435.83163 -1.09112 (343*2π)/6722 weeks
3446.3845 -5.90914 (344*2π)/6722 weeks
3453.18823 -.45397 (345*2π)/6722 weeks
3464.19147 -3.80393 (346*2π)/6722 weeks
3472.92433 -2.77883 (347*2π)/6722 weeks
3485.63111 -3.20609 (348*2π)/6722 weeks
3495.7811 -4.24409 (349*2π)/6722 weeks
3502.37619 -5.39088 (350*2π)/6722 weeks
3512.45111 -5.94759 (351*2π)/6722 weeks
3522.00135 -3.45491 (352*2π)/6722 weeks
3532.9695 -5.43954 (353*2π)/6722 weeks
3541.87699 -5.42926 (354*2π)/6722 weeks
355.93134 -4.21885 (355*2π)/6722 weeks
3561.38541 -4.78273 (356*2π)/6722 weeks
3572.4336 -5.79458 (357*2π)/6722 weeks
358-.4006 -5.63552 (358*2π)/6722 weeks
359-1.23183 -4.05767 (359*2π)/6722 weeks
3601.89379 -4.57579 (360*2π)/6722 weeks
3611.48057 -4.4006 (361*2π)/6722 weeks
3621.61246 -7.17392 (362*2π)/6722 weeks
363.18053 -5.57126 (363*2π)/6722 weeks
364-4.93883 -6.14527 (364*2π)/6722 weeks
365-2.19257 -4.73617 (365*2π)/6722 weeks
366-3.68833 -4.71064 (366*2π)/6722 weeks
367-3.04326 -1.75487 (367*2π)/6722 weeks
368-1.58113 -2.76522 (368*2π)/6722 weeks
369-2.96672 -4.88931 (369*2π)/6722 weeks
370-.88993 -4.20518 (370*2π)/6722 weeks
371-4.71584 -4.86701 (371*2π)/6722 weeks
372-4.9401 -2.85845 (372*2π)/6722 weeks
373-2.11721 -2.14467 (373*2π)/6722 weeks
374-2.86915 -2.40761 (374*2π)/6722 weeks
375-3.05605 -2.7454 (375*2π)/6722 weeks
376-6.44957 -1.95579 (376*2π)/6722 weeks
377-5.07491 -1.17514 (377*2π)/6722 weeks
378-5.50661 -.42979 (378*2π)/6722 weeks
379.95702 -1.36445 (379*2π)/6722 weeks
380-6.65549 -3.35404 (380*2π)/6722 weeks
381-4.78249 -1.06234 (381*2π)/6722 weeks
382-6.98768 .73613 (382*2π)/6722 weeks
383-4.45694 4.28493 (383*2π)/6722 weeks
384-3.57445 .46593 (384*2π)/6722 weeks
385-2.67438 3.85584 (385*2π)/6722 weeks
386-4.0257 1.568 (386*2π)/6722 weeks
387-4.01655 2.79944 (387*2π)/6722 weeks
388-3.49487 .62463 (388*2π)/6722 weeks
389-4.31411 2.25387 (389*2π)/6722 weeks
390-4.32246 4.56448 (390*2π)/6722 weeks
391-2.68364 3.41045 (391*2π)/6722 weeks
392-2.16184 2.92412 (392*2π)/6722 weeks
393-4.57778 -.76777 (393*2π)/6722 weeks
394-5.16369 4.80932 (394*2π)/6722 weeks
395-2.69475 6.59335 (395*2π)/6722 weeks
396-1.44469 7.58288 (396*2π)/6722 weeks
3971.44318 5.67834 (397*2π)/6722 weeks
398-.93221 2.05372 (398*2π)/6722 weeks
399-2.97903 4.73548 (399*2π)/6722 weeks
400-.80765 6.98519 (400*2π)/6722 weeks
4012.89396 5.45687 (401*2π)/6722 weeks
402-.02301 4.79278 (402*2π)/6722 weeks
4031.21225 3.75127 (403*2π)/6722 weeks
404-.97951 4.0453 (404*2π)/6722 weeks
405.86382 4.17037 (405*2π)/6722 weeks
406-2.31224 7.22826 (406*2π)/6722 weeks
4073.72466 6.11098 (407*2π)/6722 weeks
4082.53347 3.36285 (408*2π)/6722 weeks
4094.09038 6.03222 (409*2π)/6722 weeks
4103.59814 4.6095 (410*2π)/6722 weeks
4113.17157 6.63162 (411*2π)/6722 weeks
4124.12657 3.20098 (412*2π)/6722 weeks
4134.4632 4.06893 (413*2π)/6722 weeks
4144.1901 2.31992 (414*2π)/6722 weeks
4153.68033 3.16446 (415*2π)/6722 weeks
4166.61329 3.959 (416*2π)/6722 weeks
4172.92789 2.08307 (417*2π)/6722 weeks
4185.6837 4.07795 (418*2π)/6722 weeks
4194.7923 -.38529 (419*2π)/6722 weeks
4204.91245 3.85029 (420*2π)/6722 weeks
4216.47178 .93218 (421*2π)/6722 weeks
4225.87835 1.99822 (422*2π)/6722 weeks
4234.29678 -.4113 (423*2π)/6722 weeks
4245.54881 4.0296 (424*2π)/6722 weeks
42510.09922 -.52826 (425*2π)/6722 weeks
4266.80824 -1.09256 (426*2π)/6722 weeks
4275.35293 -3.74694 (427*2π)/6722 weeks
4283.94865 -.35097 (428*2π)/6722 weeks
4296.77843 -2.39316 (429*2π)/6722 weeks
4309.00095 -1.58987 (430*2π)/6722 weeks
4314.34526 -5.35448 (431*2π)/6722 weeks
4321.29487 -3.76487 (432*2π)/6722 weeks
4334.11391 .93782 (433*2π)/6722 weeks
4347.08859 -2.27943 (434*2π)/6722 weeks
4356.8981 -4.62883 (435*2π)/6722 weeks
4365.81614 -4.69181 (436*2π)/6722 weeks
4372.82368 -5.58503 (437*2π)/6722 weeks
4386.84418 -3.14948 (438*2π)/6722 weeks
4391.00699 -5.71674 (439*2π)/6722 weeks
44010.01125 -4.25035 (440*2π)/6722 weeks
4412.09172 -9.20132 (441*2π)/6722 weeks
442.28353 -5.77378 (442*2π)/6722 weeks
4434.24067 -4.82485 (443*2π)/6722 weeks
444-.79185 -5.61316 (444*2π)/6722 weeks
4454.13626 -6.79888 (445*2π)/6722 weeks
4461.23854 -5.14128 (446*2π)/6722 weeks
447-.99331 -5.91299 (447*2π)/6722 weeks
448-.9487 -8.02134 (448*2π)/6722 weeks
449.34965 -2.10091 (449*2π)/6721 weeks
4501.11696 -6.41584 (450*2π)/6721 weeks
4511.62242 -5.91055 (451*2π)/6721 weeks
452.19472 -9.94965 (452*2π)/6721 weeks
453-2.2845 -5.88318 (453*2π)/6721 weeks
454-3.52759 -4.90384 (454*2π)/6721 weeks
455-1.53321 -5.19028 (455*2π)/6721 weeks
456-1.72521 -7.33111 (456*2π)/6721 weeks
457-4.76099 -4.60804 (457*2π)/6721 weeks
458-2.09059 -5.73211 (458*2π)/6721 weeks
459-4.24719 -7.23478 (459*2π)/6721 weeks
460-3.53956 -2.28449 (460*2π)/6721 weeks
461-5.29152 -3.12394 (461*2π)/6721 weeks
462-4.88753 -2.76785 (462*2π)/6721 weeks
463-3.79283 -5.15983 (463*2π)/6721 weeks
464-5.8328 -2.69548 (464*2π)/6721 weeks
465-5.10968 -3.11635 (465*2π)/6721 weeks
466-6.82823 -1.69975 (466*2π)/6721 weeks
467-2.17574 1.94327 (467*2π)/6721 weeks
468-3.72643 -3.92387 (468*2π)/6721 weeks
469-6.82469 -2.81949 (469*2π)/6721 weeks
470-7.18585 -.25011 (470*2π)/6721 weeks
471-3.73689 -1.16744 (471*2π)/6721 weeks
472-7.32856 -.54006 (472*2π)/6721 weeks
473-6.1929 -.74909 (473*2π)/6721 weeks
474-6.88113 2.4596 (474*2π)/6721 weeks
475-4.71082 1.38943 (475*2π)/6721 weeks
476-6.7225 1.23554 (476*2π)/6721 weeks
477-5.98322 3.9851 (477*2π)/6721 weeks
478-4.24056 3.68041 (478*2π)/6721 weeks
479-3.92125 2.91087 (479*2π)/6721 weeks
480-5.74596 3.02787 (480*2π)/6721 weeks
481-2.35883 5.58879 (481*2π)/6721 weeks
482-2.80913 6.40727 (482*2π)/6721 weeks
483-2.78693 1.39711 (483*2π)/6721 weeks
484-.98814 3.4896 (484*2π)/6721 weeks
485-3.48132 1.54161 (485*2π)/6721 weeks
486-7.12946 6.78376 (486*2π)/6721 weeks
4872.84145 5.03566 (487*2π)/6721 weeks
488-1.56761 3.10354 (488*2π)/6721 weeks
489-3.84829 9.11101 (489*2π)/6721 weeks
490-3.85225 3.84531 (490*2π)/6721 weeks
491-2.54067 10.19038 (491*2π)/6721 weeks
4921.7783 10.37206 (492*2π)/6721 weeks
4934.19931 7.91468 (493*2π)/6721 weeks
4945.65947 5.06178 (494*2π)/6721 weeks
495.49071 1.50582 (495*2π)/6721 weeks
4962.70489 7.08293 (496*2π)/6721 weeks
4974.9995 2.9547 (497*2π)/6721 weeks
498-1.3231 5.50093 (498*2π)/6721 weeks
4994.81953 7.58777 (499*2π)/6721 weeks
5003.71419 8.11309 (500*2π)/6721 weeks
5015.47324 3.10841 (501*2π)/6721 weeks
5026.06046 4.44735 (502*2π)/6721 weeks
503.15287 4.3518 (503*2π)/6721 weeks
5046.47588 7.07759 (504*2π)/6721 weeks
5057.7858 3.57195 (505*2π)/6721 weeks
5067.86542 2.67081 (506*2π)/6721 weeks
5075.53957 3.67366 (507*2π)/6721 weeks
5085.77713 5.72157 (508*2π)/6721 weeks
5099.40476 2.07255 (509*2π)/6721 weeks
5108.8002 3.46056 (510*2π)/6721 weeks
51111.58694 1.90071 (511*2π)/6721 weeks
5128.77707 1.72969 (512*2π)/6721 weeks
5138.66346 -4.60027 (513*2π)/6721 weeks
5146.68798 -2.01004 (514*2π)/6721 weeks
5156.64234 .47958 (515*2π)/6721 weeks
5165.14722 -1.63272 (516*2π)/6721 weeks
5175.24693 -1.30704 (517*2π)/6721 weeks
51810.37712 1.66019 (518*2π)/6721 weeks
5198.42505 -1.28075 (519*2π)/6721 weeks
5206.97443 -2.45889 (520*2π)/6721 weeks
52111.45415 -6.27729 (521*2π)/6721 weeks
5227.33245 -2.26512 (522*2π)/6721 weeks
52310.57964 -5.64285 (523*2π)/6721 weeks
5247.47231 -7.38817 (524*2π)/6721 weeks
5257.98024 -6.14989 (525*2π)/6721 weeks
5265.13232 -7.43939 (526*2π)/6721 weeks
5272.92939 -5.34877 (527*2π)/6721 weeks
5286.61118 -5.95252 (528*2π)/6721 weeks
5296.59579 -5.81051 (529*2π)/6721 weeks
5303.7276 -9.26039 (530*2π)/6721 weeks
5313.5046 -10.06129 (531*2π)/6721 weeks
5326.12413 -8.63361 (532*2π)/6721 weeks
533.22737 -10.67145 (533*2π)/6721 weeks
5342.16187 -7.81381 (534*2π)/6721 weeks
5354.53254 -8.57056 (535*2π)/6721 weeks
536-.32427 -4.70901 (536*2π)/6721 weeks
5373.77823 -9.06196 (537*2π)/6721 weeks
538-.17404 -11.56785 (538*2π)/6721 weeks
5395.22929 -8.37419 (539*2π)/6721 weeks
540-3.00987 -11.07203 (540*2π)/6721 weeks
541-5.42172 -9.08409 (541*2π)/6721 weeks
542-.9025 -10.17587 (542*2π)/6721 weeks
543-.33178 -6.95509 (543*2π)/6721 weeks
544-3.49308 -15.41937 (544*2π)/6721 weeks
545-6.41621 -6.4104 (545*2π)/6721 weeks
546-10.84448 -8.35022 (546*2π)/6721 weeks
547-4.63377 -5.42882 (547*2π)/6721 weeks
548-1.21299 -4.01547 (548*2π)/6721 weeks
549-6.77144 -10.93245 (549*2π)/6721 weeks
550-5.64989 -7.26038 (550*2π)/6721 weeks
551-7.18682 -9.27081 (551*2π)/6721 weeks
552-7.59142 -3.5354 (552*2π)/6721 weeks
553-7.38544 -5.66703 (553*2π)/6721 weeks
554-9.36937 -3.68341 (554*2π)/6721 weeks
555-6.29522 -9.02967 (555*2π)/6721 weeks
556-12.37284 -3.17064 (556*2π)/6721 weeks
557-8.47476 -1.43679 (557*2π)/6721 weeks
558-8.31548 -3.9922 (558*2π)/6721 weeks
559-10.26957 -4.11311 (559*2π)/6721 weeks
560-9.10398 1.64634 (560*2π)/6721 weeks
561-10.18264 .75587 (561*2π)/6721 weeks
562-8.06362 2.83421 (562*2π)/6721 weeks
563-9.42427 -2.5819 (563*2π)/6721 weeks
564-11.71667 1.76146 (564*2π)/6721 weeks
565-6.46135 .81599 (565*2π)/6721 weeks
566-13.91975 6.9099 (566*2π)/6721 weeks
567-4.97622 9.47572 (567*2π)/6721 weeks
568-9.89349 .88154 (568*2π)/6721 weeks
569-6.48001 2.81095 (569*2π)/6721 weeks
570-9.54326 5.33573 (570*2π)/6721 weeks
571-12.70063 6.4954 (571*2π)/6721 weeks
572-.49808 10.78492 (572*2π)/6721 weeks
573-8.40891 6.46192 (573*2π)/6721 weeks
574-2.25935 7.83834 (574*2π)/6721 weeks
575-9.66684 3.15594 (575*2π)/6721 weeks
576-3.87045 15.12692 (576*2π)/6721 weeks
577-4.405 3.53956 (577*2π)/6721 weeks
578-8.3022 17.1463 (578*2π)/6721 weeks
579.37168 12.59135 (579*2π)/6721 weeks
5804.47335 12.59779 (580*2π)/6721 weeks
5816.74507 3.29737 (581*2π)/6721 weeks
582-10.19389 5.67949 (582*2π)/6721 weeks
5832.82501 12.9008 (583*2π)/6721 weeks
584-3.36174 16.89871 (584*2π)/6721 weeks
58511.54515 11.13555 (585*2π)/6721 weeks
5866.42341 10.30505 (586*2π)/6721 weeks
587-2.38527 10.8682 (587*2π)/6721 weeks
5884.70511 20.99972 (588*2π)/6721 weeks
58914.59647 9.55856 (589*2π)/6721 weeks
59010.47872 6.56512 (590*2π)/6721 weeks
5914.83351 4.07012 (591*2π)/6721 weeks
592.67932 11.24148 (592*2π)/6721 weeks
59315.75473 9.86127 (593*2π)/6721 weeks
5948.54369 5.52742 (594*2π)/6721 weeks
59511.38811 5.85384 (595*2π)/6721 weeks
5967.6743 10.92571 (596*2π)/6721 weeks
59716.46825 10.2086 (597*2π)/6721 weeks
59819.46769 2.07805 (598*2π)/6721 weeks
59913.70966 1.01892 (599*2π)/6721 weeks
60013.08148 1.35729 (600*2π)/6721 weeks
60118.18185 14.92017 (601*2π)/6721 weeks
60226.39466 -1.91645 (602*2π)/6721 weeks
60314.78582 -6.64418 (603*2π)/6721 weeks
60411.70451 4.97957 (604*2π)/6721 weeks
60515.30585 -2.28678 (605*2π)/6721 weeks
60620.05763 -4.13354 (606*2π)/6721 weeks
60719.63608 -7.99806 (607*2π)/6721 weeks
60810.81456 -9.22491 (608*2π)/6721 weeks
6096.15635 -5.24373 (609*2π)/6721 weeks
61022.2023 -.98499 (610*2π)/6721 weeks
61119.6074 -7.67147 (611*2π)/6721 weeks
61222.1197 -7.03687 (612*2π)/6721 weeks
61314.86102 -12.7553 (613*2π)/6721 weeks
61424.92855 -17.65202 (614*2π)/6721 weeks
6158.78103 -21.02977 (615*2π)/6721 weeks
61615.9744 -12.23158 (616*2π)/6721 weeks
61711.11791 -20.10457 (617*2π)/6721 weeks
6189.274 -14.91047 (618*2π)/6721 weeks
6198.32163 -32.30322 (619*2π)/6721 weeks
62013.95411 -14.48258 (620*2π)/6721 weeks
6214.56625 -17.48088 (621*2π)/6721 weeks
6229.65813 -19.88229 (622*2π)/6721 weeks
62316.51781 -31.70084 (623*2π)/6721 weeks
624-.05541 -20.65544 (624*2π)/6721 weeks
6256.09615 -32.30333 (625*2π)/6721 weeks
626-.70603 -26.01865 (626*2π)/6721 weeks
627-2.57207 -28.24505 (627*2π)/6721 weeks
6282.66975 -22.81268 (628*2π)/6721 weeks
629.33633 -35.67376 (629*2π)/6721 weeks
630-9.55126 -17.90049 (630*2π)/6721 weeks
63113.57887 -43.59804 (631*2π)/6721 weeks
632-27.61237 -24.97404 (632*2π)/6721 weeks
6333.94266 -32.97226 (633*2π)/6721 weeks
634-27.01963 -24.248 (634*2π)/6721 weeks
6354.72715 -21.66929 (635*2π)/6721 weeks
636-23.43678 -39.00302 (636*2π)/6721 weeks
637-21.40462 -25.18686 (637*2π)/6721 weeks
638-35.76081 -17.29034 (638*2π)/6721 weeks
639-15.17125 -17.69189 (639*2π)/6721 weeks
640-22.86652 -38.92343 (640*2π)/6721 weeks
641-33.01497 -24.58024 (641*2π)/6721 weeks
642-32.59735 -25.52748 (642*2π)/6721 weeks
643-45.35907 -15.99324 (643*2π)/6721 weeks
644-27.71125 -9.91946 (644*2π)/6721 weeks
645-34.16088 -24.72253 (645*2π)/6721 weeks
646-42.28843 -6.76894 (646*2π)/6721 weeks
647-40.74155 -34.26677 (647*2π)/6721 weeks
648-42.98277 -13.73924 (648*2π)/6721 weeks
649-42.34532 -20.52841 (649*2π)/6721 weeks
650-68.00179 14.25289 (650*2π)/6721 weeks
651-33.52735 -1.8852 (651*2π)/6721 weeks
652-41.00086 15.76285 (652*2π)/6721 weeks
653-52.87244 -31.80151 (653*2π)/6721 weeks
654-105.0931 31.83554 (654*2π)/6721 weeks
655-55.96075 25.1393 (655*2π)/6721 weeks
656-46.42036 49.21096 (656*2π)/6721 weeks
657-18.19763 7.12504 (657*2π)/6721 weeks
658-84.72032 32.05744 (658*2π)/6721 weeks
659-93.58645 51.34774 (659*2π)/6721 weeks
660-47.75832 81.56593 (660*2π)/6721 weeks
661-36.42765 45.54298 (661*2π)/6721 weeks
662-84.24362 44.71307 (662*2π)/6721 weeks
663-113.2532 72.80515 (663*2π)/6721 weeks
664-83.22726 79.98558 (664*2π)/6721 weeks
665-142.3415 64.37691 (665*2π)/6721 weeks
666-65.73306 235.5904 (666*2π)/6721 weeks
667-121.1721 186.6926 (667*2π)/6721 weeks
66815.16612 329.1025 (668*2π)/6721 weeks
669-24.68672 201.0073 (669*2π)/6721 weeks
67010.04004 809.161 (670*2π)/6721 weeks

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