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Fourier Analysis of GNVC (GenVec, Inc.)


GNVC (GenVec, Inc.) appears to have interesting cyclic behaviour every 76 weeks (37.3248*sine), 84 weeks (31.4633*cosine), and 56 weeks (19.9193*cosine).

GNVC (GenVec, Inc.) has an average price of 148.2 (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 12/12/2000 to 1/9/2017 for GNVC (GenVec, Inc.), this program was able to calculate the following Fourier Series:
<
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
0148.1996   0 
138.47189 134.9828 (1*2π)/839839 weeks
230.65677 43.08608 (2*2π)/839420 weeks
313.41878 46.77304 (3*2π)/839280 weeks
41.99597 17.23983 (4*2π)/839210 weeks
541.8952 27.42255 (5*2π)/839168 weeks
6.12622 38.89587 (6*2π)/839140 weeks
719.81453 18.89116 (7*2π)/839120 weeks
8-2.30492 18.48003 (8*2π)/839105 weeks
914.79527 4.17768 (9*2π)/83993 weeks
1031.46331 8.07019 (10*2π)/83984 weeks
1118.02666 37.3248 (11*2π)/83976 weeks
129.48251 6.54789 (12*2π)/83970 weeks
1312.29275 25.29887 (13*2π)/83965 weeks
146.30135 7.29712 (14*2π)/83960 weeks
1519.91928 11.86584 (15*2π)/83956 weeks
1616.46275 27.37743 (16*2π)/83952 weeks
1710.55532 10.48252 (17*2π)/83949 weeks
1813.88596 25.72213 (18*2π)/83947 weeks
196.18043 20.23658 (19*2π)/83944 weeks
20-1.57641 18.76008 (20*2π)/83942 weeks
2110.9745 18.90939 (21*2π)/83940 weeks
22-8.00863 15.06496 (22*2π)/83938 weeks
236.34195 11.47759 (23*2π)/83936 weeks
242.26954 10.30723 (24*2π)/83935 weeks
252.7875 14.96397 (25*2π)/83934 weeks
264.10997 6.36566 (26*2π)/83932 weeks
271.25993 9.73254 (27*2π)/83931 weeks
2810.09805 9.50888 (28*2π)/83930 weeks
29-3.99855 9.68904 (29*2π)/83929 weeks
307.88719 4.40511 (30*2π)/83928 weeks
316.66606 9.06395 (31*2π)/83927 weeks
323.99862 10.1546 (32*2π)/83926 weeks
3312.16228 7.92734 (33*2π)/83925 weeks
342.76505 14.49993 (34*2π)/83925 weeks
358.39973 12.10006 (35*2π)/83924 weeks
36-4.99175 13.87146 (36*2π)/83923 weeks
371.9656 6.31524 (37*2π)/83923 weeks
383.7835 6.57122 (38*2π)/83922 weeks
393.16457 9.35524 (39*2π)/83922 weeks
408.22197 8.85487 (40*2π)/83921 weeks
41-.76862 14.45872 (41*2π)/83920 weeks
42.83006 10.35066 (42*2π)/83920 weeks
43-4.34159 6.91213 (43*2π)/83920 weeks
44.21366 3.44353 (44*2π)/83919 weeks
454.42947 .28083 (45*2π)/83919 weeks
464.48793 8.3187 (46*2π)/83918 weeks
475.7423 2.76653 (47*2π)/83918 weeks
485.68823 12.55754 (48*2π)/83917 weeks
49.63438 7.4254 (49*2π)/83917 weeks
504.08535 4.66147 (50*2π)/83917 weeks
513.2965 11.05568 (51*2π)/83916 weeks
521.97155 5.24764 (52*2π)/83916 weeks
532.05521 13.25965 (53*2π)/83916 weeks
54-2.14225 5.91304 (54*2π)/83916 weeks
551.78742 5.43913 (55*2π)/83915 weeks
561.76932 8.99396 (56*2π)/83915 weeks
57-.58232 4.26882 (57*2π)/83915 weeks
582.15932 7.82387 (58*2π)/83914 weeks
59.17348 5.3557 (59*2π)/83914 weeks
60.52378 4.42488 (60*2π)/83914 weeks
614.10367 6.85703 (61*2π)/83914 weeks
62-3.39946 7.9245 (62*2π)/83914 weeks
63-1.26485 3.61279 (63*2π)/83913 weeks
64-2.21174 2.39552 (64*2π)/83913 weeks
652.68237 -1.07221 (65*2π)/83913 weeks
665.51823 4.42486 (66*2π)/83913 weeks
671.05395 4.23227 (67*2π)/83913 weeks
686.08747 4.94413 (68*2π)/83912 weeks
69.22876 7.26091 (69*2π)/83912 weeks
701.84741 4.7848 (70*2π)/83912 weeks
711.04837 4.273 (71*2π)/83912 weeks
721.52984 4.34617 (72*2π)/83912 weeks
734.32663 3.90985 (73*2π)/83911 weeks
741.94878 6.36971 (74*2π)/83911 weeks
752.50174 6.29178 (75*2π)/83911 weeks
76-.65415 4.16596 (76*2π)/83911 weeks
772.44416 3.86646 (77*2π)/83911 weeks
782.701 4.89485 (78*2π)/83911 weeks
79.90617 6.0922 (79*2π)/83911 weeks
801.60891 5.46216 (80*2π)/83910 weeks
81.03817 3.92156 (81*2π)/83910 weeks
824.19387 6.88171 (82*2π)/83910 weeks
83-1.2437 6.06366 (83*2π)/83910 weeks
84-1.85734 6.70419 (84*2π)/83910 weeks
85-1.71954 1.15279 (85*2π)/83910 weeks
86.11814 3.71119 (86*2π)/83910 weeks
871.01393 3.32819 (87*2π)/83910 weeks
88-.44346 1.91226 (88*2π)/83910 weeks
892.3499 3.58056 (89*2π)/8399 weeks
90.94403 2.27943 (90*2π)/8399 weeks
911.71925 4.57037 (91*2π)/8399 weeks
921.19611 3.66105 (92*2π)/8399 weeks
93-1.51173 3.51426 (93*2π)/8399 weeks
942.34649 1.60201 (94*2π)/8399 weeks
95.27906 3.11797 (95*2π)/8399 weeks
961.87578 3.43146 (96*2π)/8399 weeks
971.38799 1.53971 (97*2π)/8399 weeks
981.79134 4.17063 (98*2π)/8399 weeks
993.37819 1.77556 (99*2π)/8398 weeks
1001.07505 6.18742 (100*2π)/8398 weeks
101.99733 3.60846 (101*2π)/8398 weeks
102.762 3.75458 (102*2π)/8398 weeks
103-.1587 5.39145 (103*2π)/8398 weeks
104-.59093 1.26544 (104*2π)/8398 weeks
105.689 3.89958 (105*2π)/8398 weeks
106.96081 1.60073 (106*2π)/8398 weeks
107.18879 2.81063 (107*2π)/8398 weeks
1082.92589 2.88658 (108*2π)/8398 weeks
109-1.38155 1.71049 (109*2π)/8398 weeks
1104.06372 3.19992 (110*2π)/8398 weeks
111-.80573 2.35455 (111*2π)/8398 weeks
1122.74248 3.27392 (112*2π)/8397 weeks
113.86133 4.00502 (113*2π)/8397 weeks
114-1.34563 2.67005 (114*2π)/8397 weeks
1152.32725 1.67289 (115*2π)/8397 weeks
116.2917 3.18415 (116*2π)/8397 weeks
1171.78309 3.00718 (117*2π)/8397 weeks
118.7265 2.375 (118*2π)/8397 weeks
119.3436 3.13816 (119*2π)/8397 weeks
1202.49492 1.23344 (120*2π)/8397 weeks
121-.43035 4.83693 (121*2π)/8397 weeks
122.87755 1.11092 (122*2π)/8397 weeks
123.92 2.15023 (123*2π)/8397 weeks
1241.89472 2.90978 (124*2π)/8397 weeks
1251.73437 2.79538 (125*2π)/8397 weeks
126-.32089 5.15319 (126*2π)/8397 weeks
127-.57577 1.77942 (127*2π)/8397 weeks
128-.93779 2.4848 (128*2π)/8397 weeks
129.10208 .83118 (129*2π)/8397 weeks
1301.32492 .66299 (130*2π)/8396 weeks
1311.17958 2.96154 (131*2π)/8396 weeks
132.92648 .44277 (132*2π)/8396 weeks
1331.97369 3.85176 (133*2π)/8396 weeks
134-.18783 1.29627 (134*2π)/8396 weeks
1351.51833 1.96506 (135*2π)/8396 weeks
136.61923 1.71676 (136*2π)/8396 weeks
1371.43783 1.49701 (137*2π)/8396 weeks
1381.53082 3.10567 (138*2π)/8396 weeks
139.30971 1.50115 (139*2π)/8396 weeks
1401.69557 1.87943 (140*2π)/8396 weeks
1411.09397 2.44064 (141*2π)/8396 weeks
142.94165 1.61243 (142*2π)/8396 weeks
1431.8142 2.87535 (143*2π)/8396 weeks
144.57857 2.92771 (144*2π)/8396 weeks
145.32335 2.83849 (145*2π)/8396 weeks
146-.26229 2.49296 (146*2π)/8396 weeks
147-.3921 1.45551 (147*2π)/8396 weeks
148.07848 1.96846 (148*2π)/8396 weeks
149-.14807 -.10254 (149*2π)/8396 weeks
1502.58483 1.2674 (150*2π)/8396 weeks
151.70074 2.79606 (151*2π)/8396 weeks
152-.00764 .79478 (152*2π)/8396 weeks
1531.56415 1.63392 (153*2π)/8395 weeks
154.01857 1.19707 (154*2π)/8395 weeks
1551.70734 1.83918 (155*2π)/8395 weeks
156-.06384 1.47447 (156*2π)/8395 weeks
1571.51795 .1449 (157*2π)/8395 weeks
1582.30576 2.00873 (158*2π)/8395 weeks
159.3972 1.51022 (159*2π)/8395 weeks
1601.97304 2.11793 (160*2π)/8395 weeks
161-.14715 1.98567 (161*2π)/8395 weeks
162.27307 1.28637 (162*2π)/8395 weeks
1631.09437 .64913 (163*2π)/8395 weeks
164.91872 1.56813 (164*2π)/8395 weeks
1651.75466 1.34157 (165*2π)/8395 weeks
166.81267 1.63407 (166*2π)/8395 weeks
1671.95381 2.26913 (167*2π)/8395 weeks
168-.23587 1.67226 (168*2π)/8395 weeks
169.2241 1.45294 (169*2π)/8395 weeks
170.78089 .23564 (170*2π)/8395 weeks
1711.30417 1.28188 (171*2π)/8395 weeks
1721.63052 1.91837 (172*2π)/8395 weeks
173-.14588 1.08464 (173*2π)/8395 weeks
1741.32052 1.09056 (174*2π)/8395 weeks
175.70926 .52587 (175*2π)/8395 weeks
176.88739 1.57648 (176*2π)/8395 weeks
1771.253 .24301 (177*2π)/8395 weeks
178.95158 1.28524 (178*2π)/8395 weeks
1791.57455 1.19327 (179*2π)/8395 weeks
180.16008 .91776 (180*2π)/8395 weeks
1811.9066 .84866 (181*2π)/8395 weeks
1821.72213 .54557 (182*2π)/8395 weeks
1831.60263 1.67884 (183*2π)/8395 weeks
1842.42201 .89551 (184*2π)/8395 weeks
185.76094 2.40253 (185*2π)/8395 weeks
1861.6244 1.55817 (186*2π)/8395 weeks
187.73545 1.58139 (187*2π)/8394 weeks
1881.2545 2.7965 (188*2π)/8394 weeks
189-.16283 .91941 (189*2π)/8394 weeks
190.13559 1.6525 (190*2π)/8394 weeks
1911.17374 .20617 (191*2π)/8394 weeks
192-.25966 1.84334 (192*2π)/8394 weeks
193.29423 .26297 (193*2π)/8394 weeks
194-.10042 -.54732 (194*2π)/8394 weeks
1952.06726 .18333 (195*2π)/8394 weeks
1961.47698 .44457 (196*2π)/8394 weeks
1971.1641 1.19449 (197*2π)/8394 weeks
1981.16222 .35933 (198*2π)/8394 weeks
199.89472 .04548 (199*2π)/8394 weeks
2002.7998 .12297 (200*2π)/8394 weeks
2012.06312 1.28313 (201*2π)/8394 weeks
202.97868 2.51935 (202*2π)/8394 weeks
203-.21078 -.41108 (203*2π)/8394 weeks
2041.27173 -.02364 (204*2π)/8394 weeks
2052.8935 -.7021 (205*2π)/8394 weeks
2062.00499 1.70777 (206*2π)/8394 weeks
2072.11897 .85539 (207*2π)/8394 weeks
2081.32284 1.25148 (208*2π)/8394 weeks
2091.5317 1.20209 (209*2π)/8394 weeks
2101.44433 .50141 (210*2π)/8394 weeks
2111.39441 1.17531 (211*2π)/8394 weeks
2122.25797 .48144 (212*2π)/8394 weeks
2131.44942 1.08987 (213*2π)/8394 weeks
2143.08207 1.38594 (214*2π)/8394 weeks
2151.17109 1.47562 (215*2π)/8394 weeks
2161.74948 1.65936 (216*2π)/8394 weeks
2171.63077 .38323 (217*2π)/8394 weeks
2181.97589 2.36913 (218*2π)/8394 weeks
219.88978 1.66129 (219*2π)/8394 weeks
220.39597 .95319 (220*2π)/8394 weeks
2211.70027 .67718 (221*2π)/8394 weeks
2221.53389 .99122 (222*2π)/8394 weeks
2231.25479 1.71767 (223*2π)/8394 weeks
2241.40695 .65151 (224*2π)/8394 weeks
2251.41772 1.77424 (225*2π)/8394 weeks
2261.40174 1.01049 (226*2π)/8394 weeks
227.7424 1.26646 (227*2π)/8394 weeks
2281.72417 1.33293 (228*2π)/8394 weeks
229.53046 1.24282 (229*2π)/8394 weeks
2301.60451 .91344 (230*2π)/8394 weeks
231.8323 .8307 (231*2π)/8394 weeks
2321.16285 .47048 (232*2π)/8394 weeks
2331.39128 .45214 (233*2π)/8394 weeks
2341.22669 .37978 (234*2π)/8394 weeks
2352.27928 1.05036 (235*2π)/8394 weeks
236.42053 1.56021 (236*2π)/8394 weeks
2371.44002 -.10768 (237*2π)/8394 weeks
2382.01654 .63785 (238*2π)/8394 weeks
2392.53464 .61072 (239*2π)/8394 weeks
2402.59926 2.02726 (240*2π)/8393 weeks
2411.30692 2.40687 (241*2π)/8393 weeks
242.4639 1.52084 (242*2π)/8393 weeks
243.54148 1.38352 (243*2π)/8393 weeks
244.67722 .07861 (244*2π)/8393 weeks
2451.58386 .88314 (245*2π)/8393 weeks
2461.53212 .50928 (246*2π)/8393 weeks
2471.73967 1.13424 (247*2π)/8393 weeks
2481.61729 .9303 (248*2π)/8393 weeks
2491.37419 1.24691 (249*2π)/8393 weeks
2501.24893 1.0061 (250*2π)/8393 weeks
2511.37388 .85851 (251*2π)/8393 weeks
2521.67342 1.78022 (252*2π)/8393 weeks
253.82965 1.19849 (253*2π)/8393 weeks
254.52938 .83095 (254*2π)/8393 weeks
2552.05109 .04677 (255*2π)/8393 weeks
2561.25613 1.49058 (256*2π)/8393 weeks
2571.52169 1.00334 (257*2π)/8393 weeks
258.7785 .99478 (258*2π)/8393 weeks
2591.24273 .60319 (259*2π)/8393 weeks
2601.96631 .67349 (260*2π)/8393 weeks
261.86089 1.62591 (261*2π)/8393 weeks
2622.03359 .95672 (262*2π)/8393 weeks
263.2958 1.47028 (263*2π)/8393 weeks
2641.87752 .39061 (264*2π)/8393 weeks
265.75096 .70002 (265*2π)/8393 weeks
2661.4456 .80603 (266*2π)/8393 weeks
2671.54968 -.06369 (267*2π)/8393 weeks
2682.13105 .83962 (268*2π)/8393 weeks
2693.163 1.25453 (269*2π)/8393 weeks
270.66691 2.38614 (270*2π)/8393 weeks
2711.51084 1.2329 (271*2π)/8393 weeks
272.88831 1.10712 (272*2π)/8393 weeks
2731.56267 2.11434 (273*2π)/8393 weeks
274.47711 1.19715 (274*2π)/8393 weeks
275.14367 1.26307 (275*2π)/8393 weeks
276.83631 .0883 (276*2π)/8393 weeks
2771.18553 .25639 (277*2π)/8393 weeks
2782.13188 1.22348 (278*2π)/8393 weeks
2791.10787 .5174 (279*2π)/8393 weeks
2801.52687 1.20428 (280*2π)/8393 weeks
2811.93803 .57005 (281*2π)/8393 weeks
282.56357 1.93472 (282*2π)/8393 weeks
2831.89743 .51622 (283*2π)/8393 weeks
284.54508 1.46151 (284*2π)/8393 weeks
2851.86403 1.02387 (285*2π)/8393 weeks
286.96985 .88654 (286*2π)/8393 weeks
2871.37123 1.79892 (287*2π)/8393 weeks
288.66415 .56525 (288*2π)/8393 weeks
289.94752 .89299 (289*2π)/8393 weeks
2902.14273 1.02978 (290*2π)/8393 weeks
291.68274 1.6495 (291*2π)/8393 weeks
2921.10076 1.47223 (292*2π)/8393 weeks
293.55204 .31084 (293*2π)/8393 weeks
2941.38265 1.57888 (294*2π)/8393 weeks
2951.00181 .55052 (295*2π)/8393 weeks
296.56099 1.16805 (296*2π)/8393 weeks
2971.98699 .35173 (297*2π)/8393 weeks
298.74589 1.31586 (298*2π)/8393 weeks
2991.77925 1.19535 (299*2π)/8393 weeks
3001.09097 .93439 (300*2π)/8393 weeks
3011.44442 1.64126 (301*2π)/8393 weeks
3021.59668 .97398 (302*2π)/8393 weeks
3031.27431 2.19945 (303*2π)/8393 weeks
3041.04754 2.28868 (304*2π)/8393 weeks
305-.80282 1.82473 (305*2π)/8393 weeks
306.51003 1.3561 (306*2π)/8393 weeks
307-.00169 .13695 (307*2π)/8393 weeks
3081.12925 1.91969 (308*2π)/8393 weeks
309.09194 .09813 (309*2π)/8393 weeks
3101.12049 1.82789 (310*2π)/8393 weeks
311.44247 1.32239 (311*2π)/8393 weeks
312-.31255 1.35034 (312*2π)/8393 weeks
313.10998 1.11252 (313*2π)/8393 weeks
314-.69238 .18551 (314*2π)/8393 weeks
315.44499 .36075 (315*2π)/8393 weeks
316.46444 -.04928 (316*2π)/8393 weeks
317.61515 .51379 (317*2π)/8393 weeks
318.68516 .52547 (318*2π)/8393 weeks
319.02297 .2112 (319*2π)/8393 weeks
3201.09941 1.11756 (320*2π)/8393 weeks
321-.25772 -.13132 (321*2π)/8393 weeks
3221.55305 .77729 (322*2π)/8393 weeks
323.67534 .57569 (323*2π)/8393 weeks
324.61369 1.32597 (324*2π)/8393 weeks
325.10829 1.14625 (325*2π)/8393 weeks
326-.8061 .31848 (326*2π)/8393 weeks
327.18235 -.46365 (327*2π)/8393 weeks
328.47172 -.20037 (328*2π)/8393 weeks
329.5884 -.03548 (329*2π)/8393 weeks
330.64631 .55034 (330*2π)/8393 weeks
331-.24216 -.07426 (331*2π)/8393 weeks
332.72018 -.22895 (332*2π)/8393 weeks
333.2042 -.33264 (333*2π)/8393 weeks
3341.05716 -.44161 (334*2π)/8393 weeks
3351.07969 -.1984 (335*2π)/8393 weeks
3361.10025 -.04839 (336*2π)/8392 weeks
3371.52988 .34483 (337*2π)/8392 weeks
338.5476 1.09244 (338*2π)/8392 weeks
339.06256 -.01361 (339*2π)/8392 weeks
340.8992 -.31096 (340*2π)/8392 weeks
341.5731 -.34085 (341*2π)/8392 weeks
3421.68054 -.21161 (342*2π)/8392 weeks
343.72238 .10616 (343*2π)/8392 weeks
3441.86515 -.01971 (344*2π)/8392 weeks
345.8866 1.1605 (345*2π)/8392 weeks
346.30797 .49278 (346*2π)/8392 weeks
347.60943 .19722 (347*2π)/8392 weeks
348.16921 -.16572 (348*2π)/8392 weeks
3491.36507 -.63044 (349*2π)/8392 weeks
3501.39697 .02585 (350*2π)/8392 weeks
3511.35828 1.21706 (351*2π)/8392 weeks
352.26793 .57148 (352*2π)/8392 weeks
353-.22601 .8399 (353*2π)/8392 weeks
354.40557 -.23055 (354*2π)/8392 weeks
355-.58397 .09743 (355*2π)/8392 weeks
356.49315 -1.29495 (356*2π)/8392 weeks
3571.07125 -1.11722 (357*2π)/8392 weeks
358.92941 .13576 (358*2π)/8392 weeks
3591.39984 -1.2337 (359*2π)/8392 weeks
360.88779 .71257 (360*2π)/8392 weeks
3611.11786 -1.01976 (361*2π)/8392 weeks
362.76249 -.15717 (362*2π)/8392 weeks
3631.62303 -.37903 (363*2π)/8392 weeks
364.91514 -.56255 (364*2π)/8392 weeks
3651.69518 .4989 (365*2π)/8392 weeks
366.84685 -.10711 (366*2π)/8392 weeks
367.26345 .47738 (367*2π)/8392 weeks
3681.03638 -.63106 (368*2π)/8392 weeks
369.14887 -1.01009 (369*2π)/8392 weeks
3702.94594 -.21826 (370*2π)/8392 weeks
371.43504 .03229 (371*2π)/8392 weeks
3721.51441 .51189 (372*2π)/8392 weeks
373.11841 -.82948 (373*2π)/8392 weeks
3741.24378 -.58467 (374*2π)/8392 weeks
3751.60951 -.56787 (375*2π)/8392 weeks
376.1578 -.48284 (376*2π)/8392 weeks
3772.18803 -1.08448 (377*2π)/8392 weeks
3781.34357 -.72029 (378*2π)/8392 weeks
3792.53179 .32708 (379*2π)/8392 weeks
3801.49001 -.51333 (380*2π)/8392 weeks
3811.45149 .98528 (381*2π)/8392 weeks
3821.58551 -.6081 (382*2π)/8392 weeks
383.93873 .47706 (383*2π)/8392 weeks
3841.85283 -.1105 (384*2π)/8392 weeks
385.8923 -.25065 (385*2π)/8392 weeks
3861.71347 .54289 (386*2π)/8392 weeks
387.83001 -.64775 (387*2π)/8392 weeks
3881.15374 .06054 (388*2π)/8392 weeks
3891.89694 -.6613 (389*2π)/8392 weeks
390.77375 -.22305 (390*2π)/8392 weeks
3912.89093 -.58692 (391*2π)/8392 weeks
3921.34769 .43554 (392*2π)/8392 weeks
3932.2643 1.02854 (393*2π)/8392 weeks
394.33309 .5259 (394*2π)/8392 weeks
395.85314 .00322 (395*2π)/8392 weeks
3961.42204 -.69841 (396*2π)/8392 weeks
3971.26227 -.06018 (397*2π)/8392 weeks
3981.82223 -.23424 (398*2π)/8392 weeks
3991.25253 -.22624 (399*2π)/8392 weeks
4002.25254 .63787 (400*2π)/8392 weeks
401.95658 .12891 (401*2π)/8392 weeks
4021.35617 .53783 (402*2π)/8392 weeks
4031.31755 -.42107 (403*2π)/8392 weeks
4041.36942 .06648 (404*2π)/8392 weeks
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