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Fourier Analysis of PHMD (PhotoMedex In)


PHMD (PhotoMedex In) appears to have interesting cyclic behaviour every 92 weeks (118.4121*sine), 84 weeks (97.3807*sine), and 38 weeks (52.6842*cosine).

PHMD (PhotoMedex In) has an average price of 349.46 (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 PHMD (PhotoMedex In), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
0349.4593   0 
1312.8908 285.8105 (1*2π)/923923 weeks
2189.4708 132.8658 (2*2π)/923462 weeks
3259.8618 184.7163 (3*2π)/923308 weeks
4206.3839 225.4702 (4*2π)/923231 weeks
5123.4249 242.2887 (5*2π)/923185 weeks
668.19874 205.9548 (6*2π)/923154 weeks
736.9574 192.9441 (7*2π)/923132 weeks
87.32763 162.4588 (8*2π)/923115 weeks
95.25213 144.2744 (9*2π)/923103 weeks
10-12.94063 118.4121 (10*2π)/92392 weeks
11-14.85948 97.38073 (11*2π)/92384 weeks
12-10.1357 79.43082 (12*2π)/92377 weeks
13-10.90864 69.64596 (13*2π)/92371 weeks
14-7.05392 62.17601 (14*2π)/92366 weeks
15.25742 54.8109 (15*2π)/92362 weeks
164.5905 53.71712 (16*2π)/92358 weeks
171.1137 58.88752 (17*2π)/92354 weeks
18-21.8618 43.95424 (18*2π)/92351 weeks
19-4.00215 18.60892 (19*2π)/92349 weeks
209.18776 26.25565 (20*2π)/92346 weeks
2111.00167 23.11207 (21*2π)/92344 weeks
2213.19242 12.96115 (22*2π)/92342 weeks
2335.87899 7.87147 (23*2π)/92340 weeks
2452.68423 25.63769 (24*2π)/92338 weeks
2549.77248 50.19156 (25*2π)/92337 weeks
2634.70841 60.29177 (26*2π)/92336 weeks
2720.35285 55.5466 (27*2π)/92334 weeks
2824.02996 50.90881 (28*2π)/92333 weeks
2919.46154 62.70807 (29*2π)/92332 weeks
302.07046 55.52892 (30*2π)/92331 weeks
318.23833 44.6466 (31*2π)/92330 weeks
325.01413 49.80077 (32*2π)/92329 weeks
33-1.27707 44.6399 (33*2π)/92328 weeks
34.38549 35.67429 (34*2π)/92327 weeks
357.22755 35.21455 (35*2π)/92326 weeks
368.55263 34.69207 (36*2π)/92326 weeks
3711.4462 42.08929 (37*2π)/92325 weeks
38-.492 42.17766 (38*2π)/92324 weeks
391.39964 34.00166 (39*2π)/92324 weeks
408.57726 33.21561 (40*2π)/92323 weeks
418.47378 40.20135 (41*2π)/92323 weeks
42.87785 40.95015 (42*2π)/92322 weeks
432.99106 34.5495 (43*2π)/92321 weeks
449.06617 39.01572 (44*2π)/92321 weeks
454.70386 49.82395 (45*2π)/92321 weeks
46-7.17458 48.99448 (46*2π)/92320 weeks
47-9.86828 43.4143 (47*2π)/92320 weeks
48-14.31066 43.83705 (48*2π)/92319 weeks
49-16.39499 40.32182 (49*2π)/92319 weeks
50-21.81974 40.3266 (50*2π)/92318 weeks
51-31.58694 31.51732 (51*2π)/92318 weeks
52-28.46056 20.9357 (52*2π)/92318 weeks
53-24.35676 16.35812 (53*2π)/92317 weeks
54-23.1869 12.40728 (54*2π)/92317 weeks
55-21.40263 9.23257 (55*2π)/92317 weeks
56-18.55868 2.71597 (56*2π)/92316 weeks
57-8.56681 -.74875 (57*2π)/92316 weeks
58-2.69747 7.01161 (58*2π)/92316 weeks
59-8.18534 7.95673 (59*2π)/92316 weeks
60-2.35275 2.96493 (60*2π)/92315 weeks
611.74538 11.06791 (61*2π)/92315 weeks
62-4.86612 12.00142 (62*2π)/92315 weeks
63-2.84195 6.77646 (63*2π)/92315 weeks
64.2736 10.52581 (64*2π)/92314 weeks
65-3.13638 12.05663 (65*2π)/92314 weeks
66-1.94672 9.46808 (66*2π)/92314 weeks
67.07667 12.26573 (67*2π)/92314 weeks
68-4.67258 14.00127 (68*2π)/92314 weeks
69-9.19199 9.61664 (69*2π)/92313 weeks
70-3.51107 2.93486 (70*2π)/92313 weeks
71.61491 11.28299 (71*2π)/92313 weeks
72-7.49142 9.35254 (72*2π)/92313 weeks
73-5.58045 3.23575 (73*2π)/92313 weeks
74-4.24053 4.09627 (74*2π)/92312 weeks
75-4.00628 -.35249 (75*2π)/92312 weeks
761.44333 -.93351 (76*2π)/92312 weeks
772.42514 -2.63178 (77*2π)/92312 weeks
789.93924 -1.67788 (78*2π)/92312 weeks
7912.8745 2.64441 (79*2π)/92312 weeks
8015.19521 8.11287 (80*2π)/92312 weeks
8111.92394 14.05977 (81*2π)/92311 weeks
8210.05141 16.18371 (82*2π)/92311 weeks
835.93104 18.86532 (83*2π)/92311 weeks
842.18152 17.14688 (84*2π)/92311 weeks
85-.16055 19.28587 (85*2π)/92311 weeks
86-2.93153 16.11708 (86*2π)/92311 weeks
87-6.11028 15.93197 (87*2π)/92311 weeks
88-10.48216 11.37977 (88*2π)/92310 weeks
89-6.48467 4.27996 (89*2π)/92310 weeks
90-2.98911 6.71422 (90*2π)/92310 weeks
91-5.84429 6.5143 (91*2π)/92310 weeks
92-6.17089 4.4508 (92*2π)/92310 weeks
93-4.9076 -.95855 (93*2π)/92310 weeks
94-.44797 -.27203 (94*2π)/92310 weeks
95.67541 1.00606 (95*2π)/92310 weeks
96-.75643 1.39894 (96*2π)/92310 weeks
97-.60856 -2.57153 (97*2π)/92310 weeks
983.77894 -3.22341 (98*2π)/9239 weeks
994.30446 -2.23628 (99*2π)/9239 weeks
1007.31656 -4.33419 (100*2π)/9239 weeks
10110.45915 -2.68866 (101*2π)/9239 weeks
10212.38601 -.47005 (102*2π)/9239 weeks
10313.84553 -.92096 (103*2π)/9239 weeks
10419.6528 1.86983 (104*2π)/9239 weeks
10519.5853 9.58932 (105*2π)/9239 weeks
10617.7097 12.14555 (106*2π)/9239 weeks
10717.94075 15.94837 (107*2π)/9239 weeks
10812.33332 21.9081 (108*2π)/9239 weeks
1097.53647 20.74329 (109*2π)/9238 weeks
1105.28488 20.87284 (110*2π)/9238 weeks
1111.09921 21.92122 (111*2π)/9238 weeks
112-4.51782 18.23428 (112*2π)/9238 weeks
113-5.11753 13.59502 (113*2π)/9238 weeks
114-4.75894 10.44511 (114*2π)/9238 weeks
115-2.8456 8.26655 (115*2π)/9238 weeks
116-1.9484 7.64093 (116*2π)/9238 weeks
117-.5696 6.02667 (117*2π)/9238 weeks
118.41675 6.65131 (118*2π)/9238 weeks
1191.58044 5.40911 (119*2π)/9238 weeks
1203.73304 6.99884 (120*2π)/9238 weeks
1214.43981 7.30757 (121*2π)/9238 weeks
1224.40358 11.67444 (122*2π)/9238 weeks
123.7075 10.7031 (123*2π)/9238 weeks
1241.44039 8.97098 (124*2π)/9237 weeks
1253.02992 10.77808 (125*2π)/9237 weeks
1261.51865 13.12847 (126*2π)/9237 weeks
127-1.60629 11.99101 (127*2π)/9237 weeks
128-2.04634 12.18371 (128*2π)/9237 weeks
129-4.32806 12.34215 (129*2π)/9237 weeks
130-6.17407 9.58929 (130*2π)/9237 weeks
131-6.03707 8.15664 (131*2π)/9237 weeks
132-7.19756 7.07136 (132*2π)/9237 weeks
133-7.98691 2.62312 (133*2π)/9237 weeks
134-3.9286 2.07239 (134*2π)/9237 weeks
135-4.03149 2.51869 (135*2π)/9237 weeks
136-3.06466 .82563 (136*2π)/9237 weeks
137-1.80061 1.30992 (137*2π)/9237 weeks
138-1.32482 1.6374 (138*2π)/9237 weeks
139-1.90363 1.94543 (139*2π)/9237 weeks
140-1.39605 1.42144 (140*2π)/9237 weeks
141-1.99548 2.44812 (141*2π)/9237 weeks
142-4.09174 -1.0206 (142*2π)/9237 weeks
143-1.781 -3.74073 (143*2π)/9236 weeks
1441.47354 -3.07205 (144*2π)/9236 weeks
1451.0547 -2.38039 (145*2π)/9236 weeks
1462.45807 -5.30479 (146*2π)/9236 weeks
1476.26737 -4.27709 (147*2π)/9236 weeks
1487.70722 -2.51711 (148*2π)/9236 weeks
1499.26053 -1.26266 (149*2π)/9236 weeks
1509.91708 .95728 (150*2π)/9236 weeks
15110.33568 2.70649 (151*2π)/9236 weeks
1529.92955 5.28484 (152*2π)/9236 weeks
1539.57235 6.24921 (153*2π)/9236 weeks
1548.25911 9.69891 (154*2π)/9236 weeks
1554.44011 10.08293 (155*2π)/9236 weeks
1563.56426 9.18462 (156*2π)/9236 weeks
157.78746 10.16876 (157*2π)/9236 weeks
158-1.68601 7.2265 (158*2π)/9236 weeks
159-1.05658 4.42689 (159*2π)/9236 weeks
160-.41852 4.11928 (160*2π)/9236 weeks
161-1.46327 3.96319 (161*2π)/9236 weeks
162-1.38279 1.27754 (162*2π)/9236 weeks
163.34318 -.66312 (163*2π)/9236 weeks
1641.39134 .21636 (164*2π)/9236 weeks
1651.73228 -.83928 (165*2π)/9236 weeks
1663.81908 -1.76021 (166*2π)/9236 weeks
1675.06977 -.92848 (167*2π)/9236 weeks
1685.69632 -.23037 (168*2π)/9235 weeks
1696.88123 -.31649 (169*2π)/9235 weeks
1708.59172 1.39489 (170*2π)/9235 weeks
1717.34397 4.108 (171*2π)/9235 weeks
1725.84151 3.40042 (172*2π)/9235 weeks
1736.62535 2.59116 (173*2π)/9235 weeks
1747.12808 4.54676 (174*2π)/9235 weeks
1754.59787 3.95274 (175*2π)/9235 weeks
1766.87986 1.80289 (176*2π)/9235 weeks
1778.10506 4.51793 (177*2π)/9235 weeks
1787.89136 5.36159 (178*2π)/9235 weeks
1796.33067 6.43357 (179*2π)/9235 weeks
1806.24569 5.55975 (180*2π)/9235 weeks
1816.27466 7.43047 (181*2π)/9235 weeks
1824.73185 7.01146 (182*2π)/9235 weeks
1834.63428 6.71123 (183*2π)/9235 weeks
1844.06095 7.05631 (184*2π)/9235 weeks
1852.82298 6.51222 (185*2π)/9235 weeks
1863.236 5.25974 (186*2π)/9235 weeks
1874.15296 5.29595 (187*2π)/9235 weeks
1883.7873 6.44869 (188*2π)/9235 weeks
1893.03495 5.58688 (189*2π)/9235 weeks
1903.87696 5.38159 (190*2π)/9235 weeks
1913.09036 6.13633 (191*2π)/9235 weeks
1923.57591 5.57467 (192*2π)/9235 weeks
1934.1051 6.13146 (193*2π)/9235 weeks
1943.60387 7.95818 (194*2π)/9235 weeks
195.53618 7.77817 (195*2π)/9235 weeks
196.37971 5.93173 (196*2π)/9235 weeks
197.35843 5.0358 (197*2π)/9235 weeks
1981.12496 4.8946 (198*2π)/9235 weeks
199-.09671 4.96842 (199*2π)/9235 weeks
200-.26788 3.02588 (200*2π)/9235 weeks
2011.2998 1.76578 (201*2π)/9235 weeks
2023.91955 3.30881 (202*2π)/9235 weeks
2031.97588 6.08614 (203*2π)/9235 weeks
204-.65611 4.41926 (204*2π)/9235 weeks
205-.54476 2.84968 (205*2π)/9235 weeks
206-.01182 1.66435 (206*2π)/9234 weeks
207-.10914 .98359 (207*2π)/9234 weeks
208.71567 -.26092 (208*2π)/9234 weeks
2092.09415 -1.54824 (209*2π)/9234 weeks
2104.62163 -1.20136 (210*2π)/9234 weeks
2113.78766 .06775 (211*2π)/9234 weeks
2125.7917 -1.87096 (212*2π)/9234 weeks
2138.36871 .59571 (213*2π)/9234 weeks
2148.28614 2.84607 (214*2π)/9234 weeks
2156.82298 3.91733 (215*2π)/9234 weeks
2167.1473 3.3097 (216*2π)/9234 weeks
2177.83742 5.53966 (217*2π)/9234 weeks
2186.2431 7.04061 (218*2π)/9234 weeks
2194.04143 7.61406 (219*2π)/9234 weeks
2202.57353 5.73126 (220*2π)/9234 weeks
2213.33144 5.48232 (221*2π)/9234 weeks
2222.30285 5.38768 (222*2π)/9234 weeks
2231.13283 4.08566 (223*2π)/9234 weeks
2241.83202 2.07081 (224*2π)/9234 weeks
2254.424 1.57988 (225*2π)/9234 weeks
2265.66843 2.92531 (226*2π)/9234 weeks
2275.01279 4.26985 (227*2π)/9234 weeks
2284.9301 4.20817 (228*2π)/9234 weeks
2295.10072 4.07106 (229*2π)/9234 weeks
2305.53861 5.85654 (230*2π)/9234 weeks
2313.93868 6.20659 (231*2π)/9234 weeks
2323.68491 5.65883 (232*2π)/9234 weeks
2332.51637 5.14427 (233*2π)/9234 weeks
2343.10973 4.74468 (234*2π)/9234 weeks
2352.36555 4.55289 (235*2π)/9234 weeks
2364.04054 2.72195 (236*2π)/9234 weeks
2375.62479 4.85726 (237*2π)/9234 weeks
2383.66667 5.92604 (238*2π)/9234 weeks
2393.67872 4.59796 (239*2π)/9234 weeks
2404.71164 4.94687 (240*2π)/9234 weeks
2414.60853 5.95169 (241*2π)/9234 weeks
2423.83035 6.5157 (242*2π)/9234 weeks
2433.86375 5.27763 (243*2π)/9234 weeks
2445.89777 6.60257 (244*2π)/9234 weeks
2454.48429 9.12532 (245*2π)/9234 weeks
2462.36648 9.18922 (246*2π)/9234 weeks
2472.32633 8.4078 (247*2π)/9234 weeks
2481.62344 10.25165 (248*2π)/9234 weeks
249-.95647 9.55733 (249*2π)/9234 weeks
250-1.60908 8.34183 (250*2π)/9234 weeks
251-2.32782 7.7941 (251*2π)/9234 weeks
252-3.07749 7.21842 (252*2π)/9234 weeks
253-3.66734 5.7526 (253*2π)/9234 weeks
254-3.29537 4.97917 (254*2π)/9234 weeks
255-4.44278 4.02449 (255*2π)/9234 weeks
256-3.37817 2.69997 (256*2π)/9234 weeks
257-3.27839 2.48129 (257*2π)/9234 weeks
258-3.33921 1.26599 (258*2π)/9234 weeks
259-2.77566 .02645 (259*2π)/9234 weeks
260-1.2488 -.62028 (260*2π)/9234 weeks
261-.05305 -.19952 (261*2π)/9234 weeks
262.08156 .38708 (262*2π)/9234 weeks
263.09137 -.30742 (263*2π)/9234 weeks
2641.07602 -.50407 (264*2π)/9233 weeks
2652.16618 .01874 (265*2π)/9233 weeks
2662.76142 .72334 (266*2π)/9233 weeks
2672.4524 1.55463 (267*2π)/9233 weeks
2682.37403 2.07192 (268*2π)/9233 weeks
2691.97907 2.48815 (269*2π)/9233 weeks
2701.92058 2.48711 (270*2π)/9233 weeks
2711.19486 3.23726 (271*2π)/9233 weeks
272.68505 2.28579 (272*2π)/9233 weeks
273.52482 2.90315 (273*2π)/9233 weeks
274-.66415 1.67599 (274*2π)/9233 weeks
275.10579 .62138 (275*2π)/9233 weeks
2761.39463 .37159 (276*2π)/9233 weeks
2771.83168 2.06254 (277*2π)/9233 weeks
278-.38001 1.48622 (278*2π)/9233 weeks
279.5627 -.07981 (279*2π)/9233 weeks
2802.16524 .24134 (280*2π)/9233 weeks
2811.42499 1.92678 (281*2π)/9233 weeks
282-.0073 .36905 (282*2π)/9233 weeks
2832.27214 .12901 (283*2π)/9233 weeks
2841.30752 .82125 (284*2π)/9233 weeks
2851.05571 .32058 (285*2π)/9233 weeks
2861.83712 .21168 (286*2π)/9233 weeks
2871.48841 .03589 (287*2π)/9233 weeks
2882.22238 -.71236 (288*2π)/9233 weeks
2893.01532 .31151 (289*2π)/9233 weeks
2902.43595 .86371 (290*2π)/9233 weeks
2912.27178 -.24628 (291*2π)/9233 weeks
2923.68519 .18979 (292*2π)/9233 weeks
2933.77095 1.54212 (293*2π)/9233 weeks
2942.59149 3.0924 (294*2π)/9233 weeks
295-.21701 2.02324 (295*2π)/9233 weeks
296.34709 -.92764 (296*2π)/9233 weeks
2971.92209 -.7747 (297*2π)/9233 weeks
2981.68924 -.80914 (298*2π)/9233 weeks
2992.13013 -2.07558 (299*2π)/9233 weeks
3003.86308 -2.38071 (300*2π)/9233 weeks
3015.16485 -2.02931 (301*2π)/9233 weeks
3026.34305 -.39293 (302*2π)/9233 weeks
3035.5257 .3504 (303*2π)/9233 weeks
3046.13352 1.05533 (304*2π)/9233 weeks
3055.88069 .82892 (305*2π)/9233 weeks
3067.12773 2.11231 (306*2π)/9233 weeks
3075.81484 3.77889 (307*2π)/9233 weeks
3085.51137 3.67767 (308*2π)/9233 weeks
3095.16845 4.1126 (309*2π)/9233 weeks
3105.08426 5.4701 (310*2π)/9233 weeks
3113.1746 6.35977 (311*2π)/9233 weeks
3121.95097 5.37657 (312*2π)/9233 weeks
313.71216 5.87918 (313*2π)/9233 weeks
314-.37179 4.46619 (314*2π)/9233 weeks
315-.99394 3.08245 (315*2π)/9233 weeks
316-.38576 1.79391 (316*2π)/9233 weeks
317.22037 1.95542 (317*2π)/9233 weeks
318-.34038 1.6876 (318*2π)/9233 weeks
319-.81026 .29689 (319*2π)/9233 weeks
320.43873 -.38428 (320*2π)/9233 weeks
321.97187 -.6056 (321*2π)/9233 weeks
3221.24846 -.87203 (322*2π)/9233 weeks
3232.19521 -1.17676 (323*2π)/9233 weeks
3243.02673 -1.29289 (324*2π)/9233 weeks
3253.34411 -.99969 (325*2π)/9233 weeks
3264.70348 -.62768 (326*2π)/9233 weeks
3275.48019 1.03351 (327*2π)/9233 weeks
3284.61448 2.52445 (328*2π)/9233 weeks
3292.68872 2.30678 (329*2π)/9233 weeks
3303.41008 1.71432 (330*2π)/9233 weeks
3312.58617 2.66523 (331*2π)/9233 weeks
3321.7799 1.52528 (332*2π)/9233 weeks
3332.57788 .78952 (333*2π)/9233 weeks
3342.94598 1.4031 (334*2π)/9233 weeks
3351.96935 1.39541 (335*2π)/9233 weeks
3362.41687 -.15301 (336*2π)/9233 weeks
3374.93955 .41261 (337*2π)/9233 weeks
3384.32114 3.17634 (338*2π)/9233 weeks
3391.7075 2.7683 (339*2π)/9233 weeks
3402.54681 1.17211 (340*2π)/9233 weeks
3412.6219 2.18287 (341*2π)/9233 weeks
3421.79872 1.22877 (342*2π)/9233 weeks
3433.27459 1.31331 (343*2π)/9233 weeks
3442.72346 1.97444 (344*2π)/9233 weeks
3452.09342 1.69554 (345*2π)/9233 weeks
3462.51701 1.05988 (346*2π)/9233 weeks
3473.5649 2.07085 (347*2π)/9233 weeks
3481.87037 2.85826 (348*2π)/9233 weeks
3491.8276 1.52833 (349*2π)/9233 weeks
3502.265 2.29944 (350*2π)/9233 weeks
3511.23889 2.47993 (351*2π)/9233 weeks
352.38942 1.7121 (352*2π)/9233 weeks
353.40046 1.44113 (353*2π)/9233 weeks
354-.33848 -.12796 (354*2π)/9233 weeks
355.77496 -1.02785 (355*2π)/9233 weeks
3561.28974 -1.79976 (356*2π)/9233 weeks
3573.47764 -1.71083 (357*2π)/9233 weeks
3583.01111 -.58975 (358*2π)/9233 weeks
3593.75218 -1.55674 (359*2π)/9233 weeks
3605.2868 -.37989 (360*2π)/9233 weeks
3615.19437 .97521 (361*2π)/9233 weeks
3624.41092 1.64128 (362*2π)/9233 weeks
3634.59852 1.9864 (363*2π)/9233 weeks
3643.97846 3.23971 (364*2π)/9233 weeks
3652.20126 2.85501 (365*2π)/9233 weeks
3662.47093 1.43129 (366*2π)/9233 weeks
3673.66646 2.34355 (367*2π)/9233 weeks
3681.97237 3.68052 (368*2π)/9233 weeks
369.62099 2.76738 (369*2π)/9233 weeks
370.78017 1.23078 (370*2π)/9232 weeks
3711.0265 1.04624 (371*2π)/9232 weeks
3721.20111 1.1599 (372*2π)/9232 weeks
373.78107 1.18589 (373*2π)/9232 weeks
374.03127 .18036 (374*2π)/9232 weeks
375.86397 -1.32708 (375*2π)/9232 weeks
3762.4035 -.73651 (376*2π)/9232 weeks
3771.62019 -.03274 (377*2π)/9232 weeks
3781.12251 -1.18897 (378*2π)/9232 weeks
3792.40287 -2.13221 (379*2π)/9232 weeks
3803.56798 -1.48232 (380*2π)/9232 weeks
3812.77615 -1.31073 (381*2π)/9232 weeks
3824.55932 -2.50217 (382*2π)/9232 weeks
3835.59356 -.84236 (383*2π)/9232 weeks
3846.21929 .19998 (384*2π)/9232 weeks
3854.75511 1.65918 (385*2π)/9232 weeks
3864.49247 .47152 (386*2π)/9232 weeks
3875.62854 1.36298 (387*2π)/9232 weeks
3884.95465 2.92462 (388*2π)/9232 weeks
3893.09419 2.40263 (389*2π)/9232 weeks
3903.95683 1.05641 (390*2π)/9232 weeks
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789-3.9286 -2.07239 (789*2π)/9231 weeks
790-7.98691 -2.62312 (790*2π)/9231 weeks
791-7.19756 -7.07136 (791*2π)/9231 weeks
792-6.03707 -8.15664 (792*2π)/9231 weeks
793-6.17407 -9.58929 (793*2π)/9231 weeks
794-4.32806 -12.34215 (794*2π)/9231 weeks
795-2.04634 -12.18371 (795*2π)/9231 weeks
796-1.60629 -11.99101 (796*2π)/9231 weeks
7971.51865 -13.12847 (797*2π)/9231 weeks
7983.02992 -10.77808 (798*2π)/9231 weeks
7991.44039 -8.97098 (799*2π)/9231 weeks
800.7075 -10.7031 (800*2π)/9231 weeks
8014.40358 -11.67444 (801*2π)/9231 weeks
8024.43981 -7.30757 (802*2π)/9231 weeks
8033.73304 -6.99884 (803*2π)/9231 weeks
8041.58044 -5.40911 (804*2π)/9231 weeks
805.41675 -6.65131 (805*2π)/9231 weeks
806-.5696 -6.02667 (806*2π)/9231 weeks
807-1.9484 -7.64093 (807*2π)/9231 weeks
808-2.8456 -8.26655 (808*2π)/9231 weeks
809-4.75894 -10.44511 (809*2π)/9231 weeks
810-5.11753 -13.59502 (810*2π)/9231 weeks
811-4.51782 -18.23428 (811*2π)/9231 weeks
8121.09921 -21.92122 (812*2π)/9231 weeks
8135.28488 -20.87284 (813*2π)/9231 weeks
8147.53647 -20.74329 (814*2π)/9231 weeks
81512.33332 -21.9081 (815*2π)/9231 weeks
81617.94075 -15.94837 (816*2π)/9231 weeks
81717.7097 -12.14555 (817*2π)/9231 weeks
81819.5853 -9.58932 (818*2π)/9231 weeks
81919.6528 -1.86983 (819*2π)/9231 weeks
82013.84553 .92096 (820*2π)/9231 weeks
82112.38601 .47005 (821*2π)/9231 weeks
82210.45915 2.68866 (822*2π)/9231 weeks
8237.31656 4.33419 (823*2π)/9231 weeks
8244.30446 2.23628 (824*2π)/9231 weeks
8253.77894 3.22341 (825*2π)/9231 weeks
826-.60856 2.57153 (826*2π)/9231 weeks
827-.75643 -1.39894 (827*2π)/9231 weeks
828.67541 -1.00606 (828*2π)/9231 weeks
829-.44797 .27203 (829*2π)/9231 weeks
830-4.9076 .95855 (830*2π)/9231 weeks
831-6.17089 -4.4508 (831*2π)/9231 weeks
832-5.84429 -6.5143 (832*2π)/9231 weeks
833-2.98911 -6.71422 (833*2π)/9231 weeks
834-6.48467 -4.27996 (834*2π)/9231 weeks
835-10.48216 -11.37977 (835*2π)/9231 weeks
836-6.11028 -15.93197 (836*2π)/9231 weeks
837-2.93153 -16.11708 (837*2π)/9231 weeks
838-.16055 -19.28587 (838*2π)/9231 weeks
8392.18152 -17.14688 (839*2π)/9231 weeks
8405.93104 -18.86532 (840*2π)/9231 weeks
84110.05141 -16.18371 (841*2π)/9231 weeks
84211.92394 -14.05977 (842*2π)/9231 weeks
84315.19521 -8.11287 (843*2π)/9231 weeks
84412.8745 -2.64441 (844*2π)/9231 weeks
8459.93924 1.67788 (845*2π)/9231 weeks
8462.42514 2.63178 (846*2π)/9231 weeks
8471.44333 .93351 (847*2π)/9231 weeks
848-4.00628 .35249 (848*2π)/9231 weeks
849-4.24053 -4.09627 (849*2π)/9231 weeks
850-5.58045 -3.23575 (850*2π)/9231 weeks
851-7.49142 -9.35254 (851*2π)/9231 weeks
852.61491 -11.28299 (852*2π)/9231 weeks
853-3.51107 -2.93486 (853*2π)/9231 weeks
854-9.19199 -9.61664 (854*2π)/9231 weeks
855-4.67258 -14.00127 (855*2π)/9231 weeks
856.07667 -12.26573 (856*2π)/9231 weeks
857-1.94672 -9.46808 (857*2π)/9231 weeks
858-3.13638 -12.05663 (858*2π)/9231 weeks
859.2736 -10.52581 (859*2π)/9231 weeks
860-2.84195 -6.77646 (860*2π)/9231 weeks
861-4.86612 -12.00142 (861*2π)/9231 weeks
8621.74538 -11.06791 (862*2π)/9231 weeks
863-2.35275 -2.96493 (863*2π)/9231 weeks
864-8.18534 -7.95673 (864*2π)/9231 weeks
865-2.69747 -7.01161 (865*2π)/9231 weeks
866-8.56681 .74875 (866*2π)/9231 weeks
867-18.55868 -2.71597 (867*2π)/9231 weeks
868-21.40263 -9.23257 (868*2π)/9231 weeks
869-23.1869 -12.40728 (869*2π)/9231 weeks
870-24.35676 -16.35812 (870*2π)/9231 weeks
871-28.46056 -20.9357 (871*2π)/9231 weeks
872-31.58694 -31.51732 (872*2π)/9231 weeks
873-21.81974 -40.3266 (873*2π)/9231 weeks
874-16.39499 -40.32182 (874*2π)/9231 weeks
875-14.31066 -43.83705 (875*2π)/9231 weeks
876-9.86828 -43.4143 (876*2π)/9231 weeks
877-7.17458 -48.99448 (877*2π)/9231 weeks
8784.70386 -49.82395 (878*2π)/9231 weeks
8799.06617 -39.01572 (879*2π)/9231 weeks
8802.99106 -34.5495 (880*2π)/9231 weeks
881.87785 -40.95015 (881*2π)/9231 weeks
8828.47378 -40.20135 (882*2π)/9231 weeks
8838.57726 -33.21561 (883*2π)/9231 weeks
8841.39964 -34.00166 (884*2π)/9231 weeks
885-.492 -42.17766 (885*2π)/9231 weeks
88611.4462 -42.08929 (886*2π)/9231 weeks
8878.55263 -34.69207 (887*2π)/9231 weeks
8887.22755 -35.21455 (888*2π)/9231 weeks
889.38549 -35.67429 (889*2π)/9231 weeks
890-1.27707 -44.6399 (890*2π)/9231 weeks
8915.01413 -49.80077 (891*2π)/9231 weeks
8928.23833 -44.6466 (892*2π)/9231 weeks
8932.07046 -55.52892 (893*2π)/9231 weeks
89419.46154 -62.70807 (894*2π)/9231 weeks
89524.02996 -50.90881 (895*2π)/9231 weeks
89620.35285 -55.5466 (896*2π)/9231 weeks
89734.70841 -60.29177 (897*2π)/9231 weeks
89849.77248 -50.19156 (898*2π)/9231 weeks
89952.68423 -25.63769 (899*2π)/9231 weeks
90035.87899 -7.87147 (900*2π)/9231 weeks
90113.19242 -12.96115 (901*2π)/9231 weeks
90211.00167 -23.11207 (902*2π)/9231 weeks
9039.18776 -26.25565 (903*2π)/9231 weeks
904-4.00215 -18.60892 (904*2π)/9231 weeks
905-21.8618 -43.95424 (905*2π)/9231 weeks
9061.1137 -58.88752 (906*2π)/9231 weeks
9074.5905 -53.71712 (907*2π)/9231 weeks
908.25742 -54.8109 (908*2π)/9231 weeks
909-7.05392 -62.17601 (909*2π)/9231 weeks
910-10.90864 -69.64596 (910*2π)/9231 weeks
911-10.1357 -79.43082 (911*2π)/9231 weeks
912-14.85948 -97.38073 (912*2π)/9231 weeks
913-12.94063 -118.4121 (913*2π)/9231 weeks
9145.25213 -144.2744 (914*2π)/9231 weeks
9157.32763 -162.4588 (915*2π)/9231 weeks
91636.9574 -192.9441 (916*2π)/9231 weeks
91768.19874 -205.9548 (917*2π)/9231 weeks
918123.4249 -242.2887 (918*2π)/9231 weeks
919206.3839 -225.4702 (919*2π)/9231 weeks
920259.8618 -184.7163 (920*2π)/9231 weeks
921189.4708 -132.8658 (921*2π)/9231 weeks



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