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Fourier Analysis of ASTC (Astrotech Corporation)


ASTC (Astrotech Corporation) appears to have interesting cyclic behaviour every 96 weeks (145.335*sine), 69 weeks (101.4868*sine), and 74 weeks (72.3345*sine).

ASTC (Astrotech Corporation) has an average price of 402.48 (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 5/21/2018 for ASTC (Astrotech Corporation), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
0402.4835   0 
1352.2706 466.8115 (1*2π)/960960 weeks
237.14161 169.6842 (2*2π)/960480 weeks
3223.0697 71.36255 (3*2π)/960320 weeks
4230.9688 222.3938 (4*2π)/960240 weeks
5114.2098 283.8797 (5*2π)/960192 weeks
6-30.58269 224.1146 (6*2π)/960160 weeks
7-8.80932 80.80505 (7*2π)/960137 weeks
879.44212 115.5928 (8*2π)/960120 weeks
928.17488 175.7755 (9*2π)/960107 weeks
10-42.08543 145.335 (10*2π)/96096 weeks
11-59.37362 71.38171 (11*2π)/96087 weeks
12-1.69008 30.50312 (12*2π)/96080 weeks
1332.34968 72.33453 (13*2π)/96074 weeks
14-6.34413 101.4868 (14*2π)/96069 weeks
15-53.83809 66.98785 (15*2π)/96064 weeks
16-22.13067 1.59624 (16*2π)/96060 weeks
1742.46836 38.99302 (17*2π)/96056 weeks
18-7.15738 93.41397 (18*2π)/96053 weeks
19-58.23396 43.48954 (19*2π)/96051 weeks
20-31.65307 -4.47308 (20*2π)/96048 weeks
216.0828 -7.3872 (21*2π)/96046 weeks
2221.29499 14.71779 (22*2π)/96044 weeks
238.5417 25.09889 (23*2π)/96042 weeks
243.11377 10.76415 (24*2π)/96040 weeks
2526.39135 .18151 (25*2π)/96038 weeks
2644.85025 29.35676 (26*2π)/96037 weeks
2715.37847 50.02845 (27*2π)/96036 weeks
282.58265 26.2246 (28*2π)/96034 weeks
2917.10272 23.95357 (29*2π)/96033 weeks
3014.77105 26.86631 (30*2π)/96032 weeks
3119.79422 27.91018 (31*2π)/96031 weeks
3215.99646 34.92215 (32*2π)/96030 weeks
3315.38514 32.97645 (33*2π)/96029 weeks
3413.8866 41.29377 (34*2π)/96028 weeks
352.31557 37.53828 (35*2π)/96027 weeks
367.65417 34.66169 (36*2π)/96027 weeks
37-.63611 45.20483 (37*2π)/96026 weeks
38-16.68968 33.47504 (38*2π)/96025 weeks
39-9.57586 17.53961 (39*2π)/96025 weeks
40-1.26739 21.63009 (40*2π)/96024 weeks
41-6.35211 23.5207 (41*2π)/96023 weeks
42-8.32579 17.0697 (42*2π)/96023 weeks
43-4.92421 11.55557 (43*2π)/96022 weeks
441.62235 10.30994 (44*2π)/96022 weeks
454.10381 18.11827 (45*2π)/96021 weeks
46-6.19034 18.32052 (46*2π)/96021 weeks
47-7.06292 6.57346 (47*2π)/96020 weeks
482.32788 1.25994 (48*2π)/96020 weeks
4910.36651 5.8214 (49*2π)/96020 weeks
5010.00994 11.59396 (50*2π)/96019 weeks
519.34455 11.49148 (51*2π)/96019 weeks
5210.51512 14.41807 (52*2π)/96018 weeks
536.92307 15.67772 (53*2π)/96018 weeks
547.34833 14.5964 (54*2π)/96018 weeks
556.1059 15.64656 (55*2π)/96017 weeks
566.19274 14.69264 (56*2π)/96017 weeks
573.70419 16.5888 (57*2π)/96017 weeks
581.91066 9.92303 (58*2π)/96017 weeks
5911.37814 10.37746 (59*2π)/96016 weeks
608.06735 21.02761 (60*2π)/96016 weeks
61-3.49588 17.14144 (61*2π)/96016 weeks
62-1.33505 4.79063 (62*2π)/96015 weeks
6311.79161 5.35775 (63*2π)/96015 weeks
6410.21968 19.04966 (64*2π)/96015 weeks
65-4.16486 14.18699 (65*2π)/96015 weeks
663.76239 .24573 (66*2π)/96015 weeks
6716.50955 8.62682 (67*2π)/96014 weeks
688.84873 18.94516 (68*2π)/96014 weeks
691.49129 10.88076 (69*2π)/96014 weeks
7011.14704 7.1864 (70*2π)/96014 weeks
7112.01083 18.30652 (71*2π)/96014 weeks
721.27863 17.3746 (72*2π)/96013 weeks
733.23099 9.06463 (73*2π)/96013 weeks
749.08693 11.08334 (74*2π)/96013 weeks
757.61522 16.66525 (75*2π)/96013 weeks
76.59328 14.63299 (76*2π)/96013 weeks
774.85293 6.55123 (77*2π)/96012 weeks
7812.59554 14.3272 (78*2π)/96012 weeks
792.69017 21.55787 (79*2π)/96012 weeks
80-3.96497 12.75002 (80*2π)/96012 weeks
81.1175 6.60265 (81*2π)/96012 weeks
826.37286 5.78159 (82*2π)/96012 weeks
839.6125 13.03314 (83*2π)/96012 weeks
841.1108 14.83488 (84*2π)/96011 weeks
852.58391 4.8939 (85*2π)/96011 weeks
8613.13742 9.65114 (86*2π)/96011 weeks
877.49001 20.32602 (87*2π)/96011 weeks
88-.60114 16.87977 (88*2π)/96011 weeks
89-.49836 12.80331 (89*2π)/96011 weeks
90.22918 11.82793 (90*2π)/96011 weeks
91-.5781 13.3387 (91*2π)/96011 weeks
92-5.7474 11.11722 (92*2π)/96010 weeks
93-3.86434 3.36992 (93*2π)/96010 weeks
941.64325 4.50921 (94*2π)/96010 weeks
95-.99051 5.24968 (95*2π)/96010 weeks
96.55425 .17438 (96*2π)/96010 weeks
977.06767 -.74623 (97*2π)/96010 weeks
9811.33263 5.4986 (98*2π)/96010 weeks
995.39656 10.11743 (99*2π)/96010 weeks
1002.93735 3.14722 (100*2π)/96010 weeks
10110.80579 2.59797 (101*2π)/96010 weeks
10211.21169 8.75701 (102*2π)/9609 weeks
1039.23642 10.22617 (103*2π)/9609 weeks
1046.25025 10.96629 (104*2π)/9609 weeks
1056.8577 6.01985 (105*2π)/9609 weeks
10614.16913 10.2629 (106*2π)/9609 weeks
1077.61615 18.93789 (107*2π)/9609 weeks
108.62245 11.79261 (108*2π)/9609 weeks
1098.32653 9.07222 (109*2π)/9609 weeks
1107.48584 18.28904 (110*2π)/9609 weeks
111-2.25081 17.48634 (111*2π)/9609 weeks
112-3.49608 10.0454 (112*2π)/9609 weeks
113-.15863 7.48219 (113*2π)/9608 weeks
1142.27071 8.09881 (114*2π)/9608 weeks
1151.19822 10.67506 (115*2π)/9608 weeks
116-1.71605 7.75727 (116*2π)/9608 weeks
1171.6504 5.43976 (117*2π)/9608 weeks
1181.59798 7.87634 (118*2π)/9608 weeks
119.47772 5.28095 (119*2π)/9608 weeks
1204.1349 4.93507 (120*2π)/9608 weeks
1213.81044 7.47988 (121*2π)/9608 weeks
1222.86541 6.9621 (122*2π)/9608 weeks
1233.45863 7.16734 (123*2π)/9608 weeks
1243.389 8.31621 (124*2π)/9608 weeks
125.84166 8.99722 (125*2π)/9608 weeks
126-1.18721 4.85546 (126*2π)/9608 weeks
1273.70076 2.00829 (127*2π)/9608 weeks
1286.82487 7.10789 (128*2π)/9608 weeks
1291.6927 9.86771 (129*2π)/9607 weeks
130-1.56365 5.20351 (130*2π)/9607 weeks
131.99697 .44473 (131*2π)/9607 weeks
1327.52622 -.312 (132*2π)/9607 weeks
13311.41619 7.02507 (133*2π)/9607 weeks
1343.94922 11.82747 (134*2π)/9607 weeks
135.65762 4.34372 (135*2π)/9607 weeks
1367.90735 3.1532 (136*2π)/9607 weeks
1378.53901 9.43818 (137*2π)/9607 weeks
1383.41697 11.02431 (138*2π)/9607 weeks
139.88928 6.83024 (139*2π)/9607 weeks
1405.05337 3.95425 (140*2π)/9607 weeks
1417.94738 8.0935 (141*2π)/9607 weeks
1424.85801 10.77663 (142*2π)/9607 weeks
1432.2085 9.95562 (143*2π)/9607 weeks
1441.43448 6.8807 (144*2π)/9607 weeks
1455.73692 6.3482 (145*2π)/9607 weeks
1465.51813 11.74968 (146*2π)/9607 weeks
147.69891 12.28864 (147*2π)/9607 weeks
148-1.22007 10.12526 (148*2π)/9606 weeks
149-2.15516 7.39098 (149*2π)/9606 weeks
150.28467 5.99793 (150*2π)/9606 weeks
151-.96401 8.5991 (151*2π)/9606 weeks
152-4.78387 5.22592 (152*2π)/9606 weeks
153-2.50449 .09824 (153*2π)/9606 weeks
1542.37694 -1.32873 (154*2π)/9606 weeks
1557.46667 1.67684 (155*2π)/9606 weeks
1566.50303 8.44369 (156*2π)/9606 weeks
157.07387 8.36537 (157*2π)/9606 weeks
158.40313 3.5116 (158*2π)/9606 weeks
1593.42747 4.7023 (159*2π)/9606 weeks
1601.31395 6.93671 (160*2π)/9606 weeks
161-1.48641 4.7483 (161*2π)/9606 weeks
162-.81845 .67731 (162*2π)/9606 weeks
1634.08284 -.47898 (163*2π)/9606 weeks
1645.56727 4.45719 (164*2π)/9606 weeks
165.99072 3.99825 (165*2π)/9606 weeks
1663.75158 -.49405 (166*2π)/9606 weeks
1677.76638 3.72258 (167*2π)/9606 weeks
1683.56868 5.99481 (168*2π)/9606 weeks
1693.87514 2.76729 (169*2π)/9606 weeks
1705.71786 5.08713 (170*2π)/9606 weeks
1712.11401 5.47358 (171*2π)/9606 weeks
1722.70293 1.44054 (172*2π)/9606 weeks
1736.29736 1.8071 (173*2π)/9606 weeks
1747.31529 3.88191 (174*2π)/9606 weeks
1757.08956 5.88283 (175*2π)/9605 weeks
1765.01083 6.73506 (176*2π)/9605 weeks
1774.57808 4.99773 (177*2π)/9605 weeks
1786.25721 4.94466 (178*2π)/9605 weeks
1797.29475 6.77577 (179*2π)/9605 weeks
1805.72424 9.55182 (180*2π)/9605 weeks
1812.29251 8.56078 (181*2π)/9605 weeks
1823.4279 5.43544 (182*2π)/9605 weeks
1836.63104 7.23393 (183*2π)/9605 weeks
1845.2122 11.90262 (184*2π)/9605 weeks
185-1.24166 12.44697 (185*2π)/9605 weeks
186-2.94513 5.61409 (186*2π)/9605 weeks
1873.06004 5.38464 (187*2π)/9605 weeks
188.2954 10.84497 (188*2π)/9605 weeks
189-5.14065 6.88425 (189*2π)/9605 weeks
190-2.70779 2.30793 (190*2π)/9605 weeks
191-.01339 2.31011 (191*2π)/9605 weeks
192.81344 3.99988 (192*2π)/9605 weeks
193-2.02579 4.17632 (193*2π)/9605 weeks
194-1.52691 -.17866 (194*2π)/9605 weeks
1952.60555 .28202 (195*2π)/9605 weeks
1961.84872 2.65124 (196*2π)/9605 weeks
1971.02158 1.656 (197*2π)/9605 weeks
1981.47662 1.25148 (198*2π)/9605 weeks
1991.5056 .32431 (199*2π)/9605 weeks
2002.4598 -.85454 (200*2π)/9605 weeks
2014.76513 -1.96834 (201*2π)/9605 weeks
2028.43566 .23103 (202*2π)/9605 weeks
2037.40156 4.58928 (203*2π)/9605 weeks
2044.26238 3.73911 (204*2π)/9605 weeks
2056.35341 1.9203 (205*2π)/9605 weeks
2068.10016 5.48776 (206*2π)/9605 weeks
2074.57886 7.94733 (207*2π)/9605 weeks
2081.62481 5.51497 (208*2π)/9605 weeks
2093.17134 2.8474 (209*2π)/9605 weeks
2105.4512 4.24452 (210*2π)/9605 weeks
2113.97436 6.4411 (211*2π)/9605 weeks
2121.73607 4.7214 (212*2π)/9605 weeks
2133.34084 2.84473 (213*2π)/9605 weeks
2144.97653 4.15168 (214*2π)/9604 weeks
2154.43941 5.77071 (215*2π)/9604 weeks
2163.23595 5.77599 (216*2π)/9604 weeks
2173.0043 5.35106 (217*2π)/9604 weeks
2182.84631 5.79832 (218*2π)/9604 weeks
2191.48617 5.71742 (219*2π)/9604 weeks
2201.5888 3.81605 (220*2π)/9604 weeks
2213.6573 4.37444 (221*2π)/9604 weeks
2222.55699 7.29095 (222*2π)/9604 weeks
223-1.59084 6.36747 (223*2π)/9604 weeks
224-1.87205 1.61103 (224*2π)/9604 weeks
2252.41749 .00292 (225*2π)/9604 weeks
2264.25853 3.85355 (226*2π)/9604 weeks
227.2289 5.02468 (227*2π)/9604 weeks
228-.32957 .26173 (228*2π)/9604 weeks
2294.92832 -.55268 (229*2π)/9604 weeks
2306.66818 4.62057 (230*2π)/9604 weeks
2311.98085 7.85471 (231*2π)/9604 weeks
232-2.90719 3.64905 (232*2π)/9604 weeks
233.4093 -1.91138 (233*2π)/9604 weeks
2344.94187 .52023 (234*2π)/9604 weeks
2353.21812 2.84919 (235*2π)/9604 weeks
2362.47225 1.15953 (236*2π)/9604 weeks
2373.95578 .0085 (237*2π)/9604 weeks
2387.01489 .66058 (238*2π)/9604 weeks
2397.79826 5.49595 (239*2π)/9604 weeks
2402.69151 7.4871 (240*2π)/9604 weeks
241.08598 3.53232 (241*2π)/9604 weeks
2421.96866 .89097 (242*2π)/9604 weeks
2434.5373 .8056 (243*2π)/9604 weeks
2445.79392 2.92441 (244*2π)/9604 weeks
2454.03567 4.04771 (245*2π)/9604 weeks
2463.87922 2.2863 (246*2π)/9604 weeks
2476.29684 2.95873 (247*2π)/9604 weeks
2485.79216 5.87118 (248*2π)/9604 weeks
2492.94536 6.06972 (249*2π)/9604 weeks
2502.11401 3.47837 (250*2π)/9604 weeks
2514.88081 2.24134 (251*2π)/9604 weeks
2527.20032 5.07009 (252*2π)/9604 weeks
2535.34418 8.55602 (253*2π)/9604 weeks
2541.44682 8.7883 (254*2π)/9604 weeks
255.19197 5.98085 (255*2π)/9604 weeks
2561.87895 6.01892 (256*2π)/9604 weeks
257-.47171 7.44616 (257*2π)/9604 weeks
258-2.46394 4.37465 (258*2π)/9604 weeks
259-1.01087 2.78766 (259*2π)/9604 weeks
260-.81023 1.96615 (260*2π)/9604 weeks
2611.40382 1.11234 (261*2π)/9604 weeks
2621.93776 3.52886 (262*2π)/9604 weeks
263-.42521 3.4133 (263*2π)/9604 weeks
264-.36751 1.49883 (264*2π)/9604 weeks
265.97767 1.09151 (265*2π)/9604 weeks
2661.02372 2.09926 (266*2π)/9604 weeks
267-.30113 1.31803 (267*2π)/9604 weeks
268.42771 -.09213 (268*2π)/9604 weeks
269.62085 -.46948 (269*2π)/9604 weeks
2701.68389 -2.20831 (270*2π)/9604 weeks
2714.2561 -1.50053 (271*2π)/9604 weeks
2724.25179 -.20186 (272*2π)/9604 weeks
2734.55774 .10245 (273*2π)/9604 weeks
2743.94738 -.03847 (274*2π)/9604 weeks
2755.91085 -1.6227 (275*2π)/9603 weeks
2768.4613 1.34635 (276*2π)/9603 weeks
2776.48896 3.68145 (277*2π)/9603 weeks
2785.70866 3.16283 (278*2π)/9603 weeks
2795.57872 3.16334 (279*2π)/9603 weeks
2807.2388 2.85963 (280*2π)/9603 weeks
2818.08553 7.52926 (281*2π)/9603 weeks
2821.88344 9.13281 (282*2π)/9603 weeks
283.4684 3.65916 (283*2π)/9603 weeks
2844.53807 3.96945 (284*2π)/9603 weeks
2852.61017 7.71571 (285*2π)/9603 weeks
286-1.69688 5.82737 (286*2π)/9603 weeks
287-1.44116 1.24498 (287*2π)/9603 weeks
2882.39908 .37146 (288*2π)/9603 weeks
2893.00814 3.19348 (289*2π)/9603 weeks
290.78094 2.65203 (290*2π)/9603 weeks
2911.92963 .40045 (291*2π)/9603 weeks
2923.89057 1.19171 (292*2π)/9603 weeks
2933.6639 2.92906 (293*2π)/9603 weeks
2941.7584 2.47636 (294*2π)/9603 weeks
2953.48925 -.5298 (295*2π)/9603 weeks
2967.35171 2.36308 (296*2π)/9603 weeks
2974.17548 5.78393 (297*2π)/9603 weeks
2982.77156 3.02696 (298*2π)/9603 weeks
2995.38035 3.55408 (299*2π)/9603 weeks
3004.92698 6.26632 (300*2π)/9603 weeks
3012.25557 8.2141 (301*2π)/9603 weeks
302-1.76803 6.06276 (302*2π)/9603 weeks
303-.09449 2.35289 (303*2π)/9603 weeks
3041.41946 4.15914 (304*2π)/9603 weeks
305-1.12212 3.87295 (305*2π)/9603 weeks
306-.66 1.34472 (306*2π)/9603 weeks
3071.09769 .90329 (307*2π)/9603 weeks
3082.21454 1.87261 (308*2π)/9603 weeks
3091.24859 3.12596 (309*2π)/9603 weeks
310-.25916 2.37643 (310*2π)/9603 weeks
311-.25127 .28646 (311*2π)/9603 weeks
3121.98969 -.60202 (312*2π)/9603 weeks
3132.94159 1.01776 (313*2π)/9603 weeks
3142.64619 1.08182 (314*2π)/9603 weeks
3153.19193 2.38687 (315*2π)/9603 weeks
316.35904 2.50865 (316*2π)/9603 weeks
3171.03286 -1.00254 (317*2π)/9603 weeks
3184.03192 -.13118 (318*2π)/9603 weeks
3193.9224 1.61913 (319*2π)/9603 weeks
3202.72809 2.33191 (320*2π)/9603 weeks
3211.48665 -.09531 (321*2π)/9603 weeks
3226.46052 -1.49821 (322*2π)/9603 weeks
3237.98613 5.30147 (323*2π)/9603 weeks
3241.10418 6.59231 (324*2π)/9603 weeks
325.75722 .4744 (325*2π)/9603 weeks
3266.73154 1.55888 (326*2π)/9603 weeks
3274.99735 8.23211 (327*2π)/9603 weeks
328-1.80541 7.07045 (328*2π)/9603 weeks
329-1.86093 1.91813 (329*2π)/9603 weeks
330.88905 1.12539 (330*2π)/9603 weeks
3311.95229 2.66504 (331*2π)/9603 weeks
332-.23539 3.7758 (332*2π)/9603 weeks
333-1.67942 .59665 (333*2π)/9603 weeks
3341.64776 -.77087 (334*2π)/9603 weeks
3352.44154 1.77141 (335*2π)/9603 weeks
336.92078 2.1291 (336*2π)/9603 weeks
337.17568 1.17453 (337*2π)/9603 weeks
338.57757 -.02116 (338*2π)/9603 weeks
3391.70924 -.13373 (339*2π)/9603 weeks
3401.98475 .50504 (340*2π)/9603 weeks
3411.61636 .21448 (341*2π)/9603 weeks
3422.8218 -.02763 (342*2π)/9603 weeks
3432.72697 2.27806 (343*2π)/9603 weeks
344-.08809 1.24647 (344*2π)/9603 weeks
3451.96509 -.58216 (345*2π)/9603 weeks
346.90411 2.033 (346*2π)/9603 weeks
347-2.17957 -2.21029 (347*2π)/9603 weeks
3483.25907 -5.71154 (348*2π)/9603 weeks
3496.5675 -1.81223 (349*2π)/9603 weeks
3505.11313 .62822 (350*2π)/9603 weeks
3513.36413 .12568 (351*2π)/9603 weeks
3524.62436 -1.97237 (352*2π)/9603 weeks
3537.52373 -.17903 (353*2π)/9603 weeks
3546.53353 2.63063 (354*2π)/9603 weeks
3555.01357 2.71753 (355*2π)/9603 weeks
3564.8561 2.40147 (356*2π)/9603 weeks
3575.06588 2.92178 (357*2π)/9603 weeks
3584.26887 3.54371 (358*2π)/9603 weeks
3594.12617 3.36655 (359*2π)/9603 weeks
3603.40695 4.0945 (360*2π)/9603 weeks
3612.71436 2.71602 (361*2π)/9603 weeks
3624.51358 3.36522 (362*2π)/9603 weeks
3632.78992 5.23541 (363*2π)/9603 weeks
3641.90232 3.86413 (364*2π)/9603 weeks
3652.05676 4.64427 (365*2π)/9603 weeks
366.22671 4.11674 (366*2π)/9603 weeks
367.74033 3.04215 (367*2π)/9603 weeks
368.30098 3.79709 (368*2π)/9603 weeks
369-1.15474 2.9918 (369*2π)/9603 weeks
370-1.5129 1.18421 (370*2π)/9603 weeks
371-.14499 -.39212 (371*2π)/9603 weeks
3721.44559 .30741 (372*2π)/9603 weeks
373.679 1.47511 (373*2π)/9603 weeks
374-.838 .19116 (374*2π)/9603 weeks
375.59501 -2.28409 (375*2π)/9603 weeks
3763.64766 -1.14566 (376*2π)/9603 weeks
3772.50823 1.35181 (377*2π)/9603 weeks
378.98598 -.07363 (378*2π)/9603 weeks
3792.10437 -1.19441 (379*2π)/9603 weeks
3803.34704 -1.17513 (380*2π)/9603 weeks
3814.79651 -.43762 (381*2π)/9603 weeks
3825.11145 1.93829 (382*2π)/9603 weeks
3832.80043 2.85175 (383*2π)/9603 weeks
3842.34785 1.37433 (384*2π)/9603 weeks
3853.19785 2.22382 (385*2π)/9602 weeks
3861.1233 2.85528 (386*2π)/9602 weeks
387.87079 .67322 (387*2π)/9602 weeks
3881.79707 .60393 (388*2π)/9602 weeks
3892.2212 .23407 (389*2π)/9602 weeks
3902.88907 1.47039 (390*2π)/9602 weeks
391.90263 1.77754 (391*2π)/9602 weeks
392.73219 -.28897 (392*2π)/9602 weeks
3931.67162 -1.00871 (393*2π)/9602 weeks
3943.53168 -1.89891 (394*2π)/9602 weeks
3955.57938 .67649 (395*2π)/9602 weeks
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