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# Fourier Analysis of PHMD (PhotoMedex)

PHMD (PhotoMedex) appears to have interesting cyclic behaviour every 93 weeks (119.6231*sine), 85 weeks (98.3323*sine), and 37 weeks (52.1863*cosine).

PHMD (PhotoMedex) has an average price of 346.47 (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 10/30/2017 for PHMD (PhotoMedex), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
0346.4663   0
1312.6044 284.3085 (1*2π)/931931 weeks
2186.5082 134.6122 (2*2π)/931466 weeks
3259.8198 180.7159 (3*2π)/931310 weeks
4206.7411 221.3309 (4*2π)/931233 weeks
5125.5825 240.4212 (5*2π)/931186 weeks
668.13816 205.8077 (6*2π)/931155 weeks
738.81642 192.9811 (7*2π)/931133 weeks
88.61505 164.151 (8*2π)/931116 weeks
97.01398 143.0811 (9*2π)/931103 weeks
10-12.66959 119.6231 (10*2π)/93193 weeks
11-14.68747 98.33229 (11*2π)/93185 weeks
12-11.19232 79.704 (12*2π)/93178 weeks
13-11.2249 71.23204 (13*2π)/93172 weeks
14-6.51849 63.03697 (14*2π)/93167 weeks
15-.1457 54.21746 (15*2π)/93162 weeks
164.04155 52.50138 (16*2π)/93158 weeks
172.33951 57.0031 (17*2π)/93155 weeks
18-20.24026 49.76842 (18*2π)/93152 weeks
19-8.1973 20.28938 (19*2π)/93149 weeks
209.94904 24.94057 (20*2π)/93147 weeks
2110.49876 22.77456 (21*2π)/93144 weeks
2211.0993 15.62101 (22*2π)/93142 weeks
2330.25039 6.45621 (23*2π)/93140 weeks
2449.87518 21.04884 (24*2π)/93139 weeks
2552.18626 45.48627 (25*2π)/93137 weeks
2637.95766 58.34064 (26*2π)/93136 weeks
2722.03899 57.65769 (27*2π)/93134 weeks
2822.20082 49.75952 (28*2π)/93133 weeks
2923.08734 59.33358 (29*2π)/93132 weeks
304.84582 59.28322 (30*2π)/93131 weeks
315.02126 44.32482 (31*2π)/93130 weeks
327.38876 49.49455 (32*2π)/93129 weeks
33.35614 46.48335 (33*2π)/93128 weeks
34-.95707 37.46287 (34*2π)/93127 weeks
355.83207 33.53166 (35*2π)/93127 weeks
366.87806 34.99932 (36*2π)/93126 weeks
3711.98441 38.38775 (37*2π)/93125 weeks
383.19473 44.96712 (38*2π)/93125 weeks
39.2373 35.22346 (39*2π)/93124 weeks
405.70039 31.46607 (40*2π)/93123 weeks
419.37918 37.71634 (41*2π)/93123 weeks
423.83126 42.13729 (42*2π)/93122 weeks
43.69762 35.65703 (43*2π)/93122 weeks
447.33425 35.75473 (44*2π)/93121 weeks
458.36798 45.46261 (45*2π)/93121 weeks
46-3.26548 50.35091 (46*2π)/93120 weeks
47-10.04526 44.58162 (47*2π)/93120 weeks
48-11.11741 44.08426 (48*2π)/93119 weeks
49-16.01123 40.39238 (49*2π)/93119 weeks
50-18.74322 40.19189 (50*2π)/93119 weeks
51-27.88939 37.45004 (51*2π)/93118 weeks
52-29.97451 23.98437 (52*2π)/93118 weeks
53-26.02759 17.43045 (53*2π)/93118 weeks
54-23.86791 14.72796 (54*2π)/93117 weeks
55-21.48012 10.74113 (55*2π)/93117 weeks
56-20.47741 6.04927 (56*2π)/93117 weeks
57-14.15251 -.32123 (57*2π)/93116 weeks
58-3.75997 2.34232 (58*2π)/93116 weeks
59-5.19214 9.6486 (59*2π)/93116 weeks
60-6.99327 4.14582 (60*2π)/93116 weeks
611.61444 5.73791 (61*2π)/93115 weeks
62-1.56562 13.18353 (62*2π)/93115 weeks
63-5.5387 9.10313 (63*2π)/93115 weeks
64-.20104 7.89817 (64*2π)/93115 weeks
65-.64139 11.98989 (65*2π)/93114 weeks
66-3.4556 10.14139 (66*2π)/93114 weeks
67-.83501 9.71988 (67*2π)/93114 weeks
68-1.65122 14.01234 (68*2π)/93114 weeks
69-6.5553 13.18098 (69*2π)/93113 weeks
70-8.40505 5.92643 (70*2π)/93113 weeks
71.49339 4.46252 (71*2π)/93113 weeks
72-3.3738 12.6086 (72*2π)/93113 weeks
73-7.87912 6.66718 (73*2π)/93113 weeks
74-3.81586 3.40556 (74*2π)/93113 weeks
75-4.82974 3.00431 (75*2π)/93112 weeks
76-2.00421 -1.71401 (76*2π)/93112 weeks
771.5251 -.35527 (77*2π)/93112 weeks
784.78165 -3.61079 (78*2π)/93112 weeks
7911.0237 .0104 (79*2π)/93112 weeks
8013.67067 4.00749 (80*2π)/93112 weeks
8114.94787 10.40002 (81*2π)/93111 weeks
8210.8814 14.18218 (82*2π)/93111 weeks
839.03866 17.09424 (83*2π)/93111 weeks
844.35866 18.82848 (84*2π)/93111 weeks
852.48104 16.97327 (85*2π)/93111 weeks
86-1.93842 18.48182 (86*2π)/93111 weeks
87-3.12397 16.16759 (87*2π)/93111 weeks
88-7.06621 15.17424 (88*2π)/93111 weeks
89-10.643 9.07117 (89*2π)/93110 weeks
90-4.93249 4.29077 (90*2π)/93110 weeks
91-3.34687 7.28717 (91*2π)/93110 weeks
92-5.89534 5.70585 (92*2π)/93110 weeks
93-6.61019 3.72819 (93*2π)/93110 weeks
94-3.61607 -1.3709 (94*2π)/93110 weeks
95-.19118 -.01893 (95*2π)/93110 weeks
96.63665 1.29139 (96*2π)/93110 weeks
97-1.09057 1.0186 (97*2π)/93110 weeks
98.07278 -3.08703 (98*2π)/93110 weeks
994.14211 -2.90199 (99*2π)/9319 weeks
1004.2687 -2.53884 (100*2π)/9319 weeks
1017.89497 -4.16403 (101*2π)/9319 weeks
10210.6953 -2.51771 (102*2π)/9319 weeks
10312.26051 -.29995 (103*2π)/9319 weeks
10414.22726 -.95698 (104*2π)/9319 weeks
10519.93729 2.57493 (105*2π)/9319 weeks
10619.08345 9.87121 (106*2π)/9319 weeks
10717.51521 12.25395 (107*2π)/9319 weeks
10817.75704 16.32144 (108*2π)/9319 weeks
10911.71601 21.73924 (109*2π)/9319 weeks
1107.32709 20.52355 (110*2π)/9318 weeks
1115.11211 20.74681 (111*2π)/9318 weeks
112.85363 21.7309 (112*2π)/9318 weeks
113-4.5492 17.90762 (113*2π)/9318 weeks
114-5.06882 13.40678 (114*2π)/9318 weeks
115-4.70917 10.31541 (115*2π)/9318 weeks
116-2.81685 8.19339 (116*2π)/9318 weeks
117-1.93349 7.58017 (117*2π)/9318 weeks
118-.60583 5.97917 (118*2π)/9318 weeks
119.41861 6.60515 (119*2π)/9318 weeks
1201.47842 5.38409 (120*2π)/9318 weeks
1213.70566 6.84639 (121*2π)/9318 weeks
1224.24179 7.18769 (122*2π)/9318 weeks
1234.61731 11.37956 (123*2π)/9318 weeks
124.76099 10.79829 (124*2π)/9318 weeks
1251.28565 8.96712 (125*2π)/9317 weeks
1263.05698 10.44325 (126*2π)/9317 weeks
1271.78115 12.78027 (127*2π)/9317 weeks
128-1.59684 12.13506 (128*2π)/9317 weeks
129-1.84462 12.06382 (129*2π)/9317 weeks
130-3.8604 12.32664 (130*2π)/9317 weeks
131-6.09575 9.83041 (131*2π)/9317 weeks
132-5.94351 8.16159 (132*2π)/9317 weeks
133-6.89789 7.21428 (133*2π)/9317 weeks
134-8.33773 3.50007 (134*2π)/9317 weeks
135-4.13672 1.75333 (135*2π)/9317 weeks
136-3.86964 2.57291 (136*2π)/9317 weeks
137-3.49235 .9416 (137*2π)/9317 weeks
138-1.91591 1.22712 (138*2π)/9317 weeks
139-1.4262 1.55448 (139*2π)/9317 weeks
140-1.67863 2.12214 (140*2π)/9317 weeks
141-1.46549 1.34661 (141*2π)/9317 weeks
142-1.42455 2.09774 (142*2π)/9317 weeks
143-4.3431 .08792 (143*2π)/9317 weeks
144-2.47886 -3.08182 (144*2π)/9316 weeks
1451.08909 -3.5364 (145*2π)/9316 weeks
1461.37317 -2.21884 (146*2π)/9316 weeks
1471.38821 -4.5735 (147*2π)/9316 weeks
1485.54193 -4.78966 (148*2π)/9316 weeks
1497.38506 -2.91835 (149*2π)/9316 weeks
1508.63569 -1.79298 (150*2π)/9316 weeks
1519.75973 .39712 (151*2π)/9316 weeks
15210.08274 2.12111 (152*2π)/9316 weeks
15310.30673 4.48716 (153*2π)/9316 weeks
1549.22245 5.72875 (154*2π)/9316 weeks
1559.20106 8.53448 (155*2π)/9316 weeks
1565.55992 10.33651 (156*2π)/9316 weeks
1573.56942 9.02011 (157*2π)/9316 weeks
1582.29611 10.07869 (158*2π)/9316 weeks
159-1.2476 8.30677 (159*2π)/9316 weeks
160-1.71476 5.1624 (160*2π)/9316 weeks
161-.48253 4.24754 (161*2π)/9316 weeks
162-.61063 4.24494 (162*2π)/9316 weeks
163-1.8416 2.10662 (163*2π)/9316 weeks
164-.81097 .06169 (164*2π)/9316 weeks
1651.58678 -.00838 (165*2π)/9316 weeks
1661.44514 -.38546 (166*2π)/9316 weeks
1672.57686 -1.70065 (167*2π)/9316 weeks
1684.60226 -1.13841 (168*2π)/9316 weeks
1695.53868 -.46217 (169*2π)/9316 weeks
1706.03273 -.36079 (170*2π)/9315 weeks
1717.82431 .32257 (171*2π)/9315 weeks
1728.45257 3.10113 (172*2π)/9315 weeks
1736.16988 3.87675 (173*2π)/9315 weeks
1745.87163 2.81291 (174*2π)/9315 weeks
1757.31717 3.26472 (175*2π)/9315 weeks
1765.76093 5.0017 (176*2π)/9315 weeks
1774.98947 2.32061 (177*2π)/9315 weeks
1788.20144 2.89688 (178*2π)/9315 weeks
1797.56914 4.74819 (179*2π)/9315 weeks
1807.33875 6.24347 (180*2π)/9315 weeks
1815.8624 5.99091 (181*2π)/9315 weeks
1826.83547 6.03799 (182*2π)/9315 weeks
1835.22628 7.39387 (183*2π)/9315 weeks
1844.53926 6.71228 (184*2π)/9315 weeks
1854.45204 6.84272 (185*2π)/9315 weeks
1863.56137 7.03304 (186*2π)/9315 weeks
1872.7322 5.80611 (187*2π)/9315 weeks
1883.53005 5.10994 (188*2π)/9315 weeks
1894.31659 5.69901 (189*2π)/9315 weeks
1903.19549 6.27359 (190*2π)/9315 weeks
1913.21491 5.30782 (191*2π)/9315 weeks
1923.97908 5.85087 (192*2π)/9315 weeks
1932.99861 5.60834 (193*2π)/9315 weeks
1943.65402 5.63993 (194*2π)/9315 weeks
1954.14069 6.57851 (195*2π)/9315 weeks
1962.73346 8.41819 (196*2π)/9315 weeks
197.20689 6.89314 (197*2π)/9315 weeks
198.37498 5.67651 (198*2π)/9315 weeks
199.54532 4.71301 (199*2π)/9315 weeks
200.98902 5.1355 (200*2π)/9315 weeks
201-.3706 4.46482 (201*2π)/9315 weeks
202.05991 2.56531 (202*2π)/9315 weeks
2031.99217 1.62145 (203*2π)/9315 weeks
2043.84946 4.21298 (204*2π)/9315 weeks
2051.06591 6.05175 (205*2π)/9315 weeks
206-.66961 3.85371 (206*2π)/9315 weeks
207-.53826 2.53376 (207*2π)/9314 weeks
208.11579 1.61377 (208*2π)/9314 weeks
209-.02503 .60797 (209*2π)/9314 weeks
210.82712 -.48324 (210*2π)/9314 weeks
2112.48444 -1.64793 (211*2π)/9314 weeks
2124.85366 -.70857 (212*2π)/9314 weeks
2133.64905 -.34769 (213*2π)/9314 weeks
2146.38985 -1.74537 (214*2π)/9314 weeks
2158.31181 1.0031 (215*2π)/9314 weeks
2168.0878 3.14693 (216*2π)/9314 weeks
2176.62618 3.82395 (217*2π)/9314 weeks
2187.34115 3.38291 (218*2π)/9314 weeks
2197.62728 5.75647 (219*2π)/9314 weeks
2206.01089 7.07339 (220*2π)/9314 weeks
2213.72536 7.46518 (221*2π)/9314 weeks
2222.59901 5.507 (222*2π)/9314 weeks
2233.24671 5.51623 (223*2π)/9314 weeks
2242.22455 5.3146 (224*2π)/9314 weeks
2251.12302 3.88263 (225*2π)/9314 weeks
2261.90535 1.92585 (226*2π)/9314 weeks
2274.47265 1.63152 (227*2π)/9314 weeks
2285.64612 2.98152 (228*2π)/9314 weeks
2294.9398 4.23079 (229*2π)/9314 weeks
2304.88845 4.18256 (230*2π)/9314 weeks
2315.07891 4.03568 (231*2π)/9314 weeks
2325.48021 5.81703 (232*2π)/9314 weeks
2333.90824 6.15405 (233*2π)/9314 weeks
2343.6531 5.60042 (234*2π)/9314 weeks
2352.49001 5.13725 (235*2π)/9314 weeks
2363.08131 4.70138 (236*2π)/9314 weeks
2372.3912 4.5816 (237*2π)/9314 weeks
2383.86506 2.67837 (238*2π)/9314 weeks
2395.59116 4.66007 (239*2π)/9314 weeks
2403.74914 5.94399 (240*2π)/9314 weeks
2413.56776 4.6018 (241*2π)/9314 weeks
2424.61385 4.82546 (242*2π)/9314 weeks
2434.60406 5.84989 (243*2π)/9314 weeks
2443.93521 6.47221 (244*2π)/9314 weeks
2453.65587 5.33791 (245*2π)/9314 weeks
2465.73765 6.18379 (246*2π)/9314 weeks
2474.72335 8.89956 (247*2π)/9314 weeks
2482.57393 9.23258 (248*2π)/9314 weeks
2492.18597 8.29471 (249*2π)/9314 weeks
2502.0133 9.90744 (250*2π)/9314 weeks
251-.71347 9.71112 (251*2π)/9314 weeks
252-1.56001 8.39056 (252*2π)/9314 weeks
253-2.17457 7.88326 (253*2π)/9314 weeks
254-2.81845 7.2804 (254*2π)/9314 weeks
255-3.63502 5.96006 (255*2π)/9314 weeks
256-3.33809 4.91689 (256*2π)/9314 weeks
257-4.24919 4.53186 (257*2π)/9314 weeks
258-3.5298 2.71322 (258*2π)/9314 weeks
259-3.17344 2.52326 (259*2π)/9314 weeks
260-3.44713 1.54365 (260*2π)/9314 weeks
261-2.98828 .39655 (261*2π)/9314 weeks
262-1.60802 -.56174 (262*2π)/9314 weeks
263-.25754 -.37872 (263*2π)/9314 weeks
264.16191 .2756 (264*2π)/9314 weeks
265-.12015 -.03709 (265*2π)/9314 weeks
266.81759 -.46009 (266*2π)/9314 weeks
2671.94489 -.26943 (267*2π)/9313 weeks
2682.4969 .40125 (268*2π)/9313 weeks
2692.53447 1.49357 (269*2π)/9313 weeks
2702.46048 1.89141 (270*2π)/9313 weeks
2712.17226 2.36124 (271*2π)/9313 weeks
2721.8135 2.35752 (272*2π)/9313 weeks
2731.67245 3.04745 (273*2π)/9313 weeks
274.50264 2.5973 (274*2π)/9313 weeks
275.91521 2.60778 (275*2π)/9313 weeks
276-.49605 2.40232 (276*2π)/9313 weeks
277-.16618 .86436 (277*2π)/9313 weeks
278.79899 .24994 (278*2π)/9313 weeks
2792.00776 1.16773 (279*2π)/9313 weeks
280.28976 2.37818 (280*2π)/9313 weeks
281.01978 .28737 (281*2π)/9313 weeks
2821.46906 -.20951 (282*2π)/9313 weeks
2832.18119 1.40664 (283*2π)/9313 weeks
284.27846 1.48045 (284*2π)/9313 weeks
2851.24953 -.63492 (285*2π)/9313 weeks
2861.73295 1.0469 (286*2π)/9313 weeks
2871.22112 .65891 (287*2π)/9313 weeks
2881.50464 -.096 (288*2π)/9313 weeks
2891.56642 .31634 (289*2π)/9313 weeks
2901.60612 -.37012 (290*2π)/9313 weeks
2912.93133 -.32536 (291*2π)/9313 weeks
2922.80683 .63243 (292*2π)/9313 weeks
2931.94974 .48202 (293*2π)/9313 weeks
2943.02315 -.33242 (294*2π)/9313 weeks
2953.83453 .83639 (295*2π)/9313 weeks
2963.51487 2.19761 (296*2π)/9313 weeks
2971.20633 3.12282 (297*2π)/9313 weeks
298-.53571 .55727 (298*2π)/9313 weeks
2991.32036 -1.14156 (299*2π)/9313 weeks
3001.88608 -.60927 (300*2π)/9313 weeks
3011.63621 -1.26121 (301*2π)/9313 weeks
3022.78125 -2.41595 (302*2π)/9313 weeks
3034.2947 -2.18118 (303*2π)/9313 weeks
3045.78437 -1.60036 (304*2π)/9313 weeks
3056.03696 .28811 (305*2π)/9313 weeks
3065.76067 .22432 (306*2π)/9313 weeks
3075.68631 1.26956 (307*2π)/9313 weeks
3086.38505 .95951 (308*2π)/9313 weeks
3096.95265 2.95727 (309*2π)/9313 weeks
3105.40556 3.57088 (310*2π)/9313 weeks
3115.35848 3.90105 (311*2π)/9313 weeks
3125.2552 4.2678 (312*2π)/9313 weeks
3134.53982 5.87164 (313*2π)/9313 weeks
3142.46932 6.16932 (314*2π)/9313 weeks
3151.99347 5.44121 (315*2π)/9313 weeks
316.12296 5.41115 (316*2π)/9313 weeks
317-.58226 4.16693 (317*2π)/9313 weeks
318-.92353 2.61919 (318*2π)/9313 weeks
319-.10906 1.65784 (319*2π)/9313 weeks
320.06716 1.98538 (320*2π)/9313 weeks
321-.50332 1.53841 (321*2π)/9313 weeks
322-.52161 -.12468 (322*2π)/9313 weeks
323.53398 -.40579 (323*2π)/9313 weeks
3241.06385 -.6129 (324*2π)/9313 weeks
3251.34916 -1.0341 (325*2π)/9313 weeks
3262.25593 -1.12562 (326*2π)/9313 weeks
3273.21334 -1.1181 (327*2π)/9313 weeks
3283.52556 -1.10795 (328*2π)/9313 weeks
3294.83928 -.45854 (329*2π)/9313 weeks
3305.32724 1.35493 (330*2π)/9313 weeks
3314.32617 2.71973 (331*2π)/9313 weeks
3322.62984 2.01874 (332*2π)/9313 weeks
3333.44904 1.85349 (333*2π)/9313 weeks
3342.33993 2.57767 (334*2π)/9313 weeks
3351.78936 1.36614 (335*2π)/9313 weeks
3362.66751 .82103 (336*2π)/9313 weeks
3372.89034 1.46886 (337*2π)/9313 weeks
3381.88728 1.24321 (338*2π)/9313 weeks
3392.55318 -.26811 (339*2π)/9313 weeks
3405.00587 .63966 (340*2π)/9313 weeks
3414.11245 3.26727 (341*2π)/9313 weeks
3421.62323 2.59135 (342*2π)/9313 weeks
3432.60713 1.1855 (343*2π)/9313 weeks
3442.54308 2.17798 (344*2π)/9313 weeks
3451.80712 1.15512 (345*2π)/9313 weeks
3463.24982 1.34838 (346*2π)/9313 weeks
3472.6922 1.9621 (347*2π)/9313 weeks
3482.07448 1.6724 (348*2π)/9313 weeks
3492.49634 1.05017 (349*2π)/9313 weeks
3503.53665 2.03651 (350*2π)/9313 weeks
3511.88226 2.84978 (351*2π)/9313 weeks
3521.7817 1.52374 (352*2π)/9313 weeks
3532.26839 2.24542 (353*2π)/9313 weeks
3541.26358 2.46847 (354*2π)/9313 weeks
355.39328 1.76432 (355*2π)/9313 weeks
356.4602 1.42277 (356*2π)/9313 weeks
357-.38572 .01403 (357*2π)/9313 weeks
358.70957 -.99828 (358*2π)/9313 weeks
3591.18842 -1.66218 (359*2π)/9313 weeks
3603.29661 -1.87802 (360*2π)/9313 weeks
3613.07854 -.53018 (361*2π)/9313 weeks
3623.50879 -1.50573 (362*2π)/9313 weeks
3635.17423 -.59423 (363*2π)/9313 weeks
3645.17842 .81823 (364*2π)/9313 weeks
3654.46367 1.65728 (365*2π)/9313 weeks
3664.55161 1.83056 (366*2π)/9313 weeks
3674.18245 3.01713 (367*2π)/9313 weeks
3682.37169 3.03838 (368*2π)/9313 weeks
3692.21447 1.56196 (369*2π)/9313 weeks
3703.55124 1.97033 (370*2π)/9313 weeks
3712.40797 3.68902 (371*2π)/9313 weeks
372.85648 2.94799 (372*2π)/9313 weeks
373.53324 1.35766 (373*2π)/9312 weeks
374.96813 1.15173 (374*2π)/9312 weeks
3751.256 1.11287 (375*2π)/9312 weeks
376.94781 1.16953 (376*2π)/9312 weeks
377.1033 .5359 (377*2π)/9312 weeks
378.45415 -1.03326 (378*2π)/9312 weeks
3792.18075 -1.10611 (379*2π)/9312 weeks
3801.90444 .01264 (380*2π)/9312 weeks
3811.09073 -.74466 (381*2π)/9312 weeks
3821.94356 -2.0382 (382*2π)/9312 weeks
3833.32243 -1.80544 (383*2π)/9312 weeks
3843.05175 -.93657 (384*2π)/9312 weeks
3853.65699 -2.51812 (385*2π)/9312 weeks
3865.56237 -1.28178 (386*2π)/9312 weeks
3875.87455 -.3954 (387*2π)/9312 weeks
3885.42464 1.58805 (388*2π)/9312 weeks
3894.15002 .85739 (389*2π)/9312 weeks
3905.41233 .79555 (390*2π)/9312 weeks
3915.38875 2.3505 (391*2π)/9312 weeks
3923.56436 2.94505 (392*2π)/9312 weeks
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929186.5082 -134.6122 (929*2π)/9311 weeks