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# Fourier Analysis of PAL (North American Palladium Ltd)

PAL (North American Palladium Ltd) appears to have interesting cyclic behaviour every 69 weeks (5.6719*cosine), 76 weeks (5.6372*cosine), and 59 weeks (5.4445*cosine).

PAL (North American Palladium Ltd) has an average price of 7.82 (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.

## Fourier Analysis

Using data from 10/16/2000 to 4/30/2018 for PAL (North American Palladium Ltd), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
07.82282   0
14.73643 2.32649 (1*2π)/764764 weeks
25.83857 -.52217 (2*2π)/764382 weeks
36.94325 .83709 (3*2π)/764255 weeks
46.88712 -.94946 (4*2π)/764191 weeks
55.93431 .30863 (5*2π)/764153 weeks
65.66148 -.69101 (6*2π)/764127 weeks
75.82248 -1.67877 (7*2π)/764109 weeks
86.44365 -1.74903 (8*2π)/76496 weeks
95.74113 -1.15734 (9*2π)/76485 weeks
105.63717 -1.7742 (10*2π)/76476 weeks
115.67188 -2.20163 (11*2π)/76469 weeks
124.81135 -2.09232 (12*2π)/76464 weeks
135.44455 -2.89089 (13*2π)/76459 weeks
145.28262 -2.48916 (14*2π)/76455 weeks
154.57457 -3.22451 (15*2π)/76451 weeks
164.74602 -3.21853 (16*2π)/76448 weeks
175.01351 -3.54636 (17*2π)/76445 weeks
184.36839 -3.46553 (18*2π)/76442 weeks
194.3506 -3.7818 (19*2π)/76440 weeks
204.26153 -3.83081 (20*2π)/76438 weeks
213.99488 -4.2012 (21*2π)/76436 weeks
223.88099 -3.94279 (22*2π)/76435 weeks
233.53595 -4.26217 (23*2π)/76433 weeks
243.48044 -4.47883 (24*2π)/76432 weeks
253.26467 -4.38174 (25*2π)/76431 weeks
263.01071 -4.57557 (26*2π)/76429 weeks
272.84696 -4.52718 (27*2π)/76428 weeks
282.48828 -4.76926 (28*2π)/76427 weeks
292.38694 -4.83228 (29*2π)/76426 weeks
302.12068 -4.73425 (30*2π)/76425 weeks
311.94277 -4.93611 (31*2π)/76425 weeks
321.70496 -4.87165 (32*2π)/76424 weeks
331.53461 -5.06477 (33*2π)/76423 weeks
341.38938 -4.82322 (34*2π)/76422 weeks
351.00292 -5.06067 (35*2π)/76422 weeks
36.86804 -4.86414 (36*2π)/76421 weeks
37.63366 -5.0076 (37*2π)/76421 weeks
38.52569 -4.8126 (38*2π)/76420 weeks
39.19179 -5.00671 (39*2π)/76420 weeks
40.10382 -4.70845 (40*2π)/76419 weeks
41-.30344 -4.76548 (41*2π)/76419 weeks
42-.31328 -4.80178 (42*2π)/76418 weeks
43-.48261 -4.732 (43*2π)/76418 weeks
44-.64078 -4.49037 (44*2π)/76417 weeks
45-.97613 -4.48639 (45*2π)/76417 weeks
46-.89116 -4.45579 (46*2π)/76417 weeks
47-1.26125 -4.22398 (47*2π)/76416 weeks
48-1.26908 -4.05096 (48*2π)/76416 weeks
49-1.56665 -4.01108 (49*2π)/76416 weeks
50-1.60146 -3.92329 (50*2π)/76415 weeks
51-1.79585 -3.72935 (51*2π)/76415 weeks
52-1.89529 -3.49015 (52*2π)/76415 weeks
53-2.10081 -3.41888 (53*2π)/76414 weeks
54-2.13772 -3.28468 (54*2π)/76414 weeks
55-2.3376 -3.14769 (55*2π)/76414 weeks
56-2.32785 -2.86767 (56*2π)/76414 weeks
57-2.54743 -2.78609 (57*2π)/76413 weeks
58-2.58235 -2.60918 (58*2π)/76413 weeks
59-2.74443 -2.43168 (59*2π)/76413 weeks
60-2.6542 -2.28626 (60*2π)/76413 weeks
61-2.81764 -2.07499 (61*2π)/76413 weeks
62-2.86352 -1.93984 (62*2π)/76412 weeks
63-2.83266 -1.75444 (63*2π)/76412 weeks
64-2.95027 -1.52806 (64*2π)/76412 weeks
65-2.98036 -1.40143 (65*2π)/76412 weeks
66-3.01369 -1.24956 (66*2π)/76412 weeks
67-2.96292 -1.05075 (67*2π)/76411 weeks
68-3.01148 -.85298 (68*2π)/76411 weeks
69-2.96691 -.78615 (69*2π)/76411 weeks
70-2.94736 -.48871 (70*2π)/76411 weeks
71-2.89489 -.50203 (71*2π)/76411 weeks
72-2.7531 -.20759 (72*2π)/76411 weeks
73-2.85502 .02756 (73*2π)/76410 weeks
74-2.72747 .12924 (74*2π)/76410 weeks
75-2.72377 .23813 (75*2π)/76410 weeks
76-2.66022 .40331 (76*2π)/76410 weeks
77-2.57147 .56982 (77*2π)/76410 weeks
78-2.46838 .73527 (78*2π)/76410 weeks
79-2.46872 .79234 (79*2π)/76410 weeks
80-2.27023 .95902 (80*2π)/76410 weeks
81-2.19856 1.09756 (81*2π)/7649 weeks
82-2.08196 1.19584 (82*2π)/7649 weeks
83-2.03255 1.27575 (83*2π)/7649 weeks
84-1.89563 1.41024 (84*2π)/7649 weeks
85-1.69246 1.48288 (85*2π)/7649 weeks
86-1.59615 1.63074 (86*2π)/7649 weeks
87-1.53204 1.70905 (87*2π)/7649 weeks
88-1.41606 1.79905 (88*2π)/7649 weeks
89-1.21589 1.82423 (89*2π)/7649 weeks
90-1.1483 1.91688 (90*2π)/7648 weeks
91-.99462 1.93799 (91*2π)/7648 weeks
92-.86167 2.02445 (92*2π)/7648 weeks
93-.69194 2.02317 (93*2π)/7648 weeks
94-.56658 2.08873 (94*2π)/7648 weeks
95-.42799 2.07853 (95*2π)/7648 weeks
96-.32187 2.12737 (96*2π)/7648 weeks
97-.13875 2.10933 (97*2π)/7648 weeks
98-.00036 2.14181 (98*2π)/7648 weeks
99.09953 2.11767 (99*2π)/7648 weeks
100.30657 2.09861 (100*2π)/7648 weeks
101.39715 2.10619 (101*2π)/7648 weeks
102.56608 2.13064 (102*2π)/7647 weeks
103.64437 2.03072 (103*2π)/7647 weeks
104.7785 2.01574 (104*2π)/7647 weeks
105.91815 1.98578 (105*2π)/7647 weeks
1061.06085 1.91345 (106*2π)/7647 weeks
1071.12847 1.86185 (107*2π)/7647 weeks
1081.27703 1.87397 (108*2π)/7647 weeks
1091.36955 1.70532 (109*2π)/7647 weeks
1101.52139 1.68049 (110*2π)/7647 weeks
1111.57924 1.66136 (111*2π)/7647 weeks
1121.64376 1.53864 (112*2π)/7647 weeks
1131.78095 1.43419 (113*2π)/7647 weeks
1141.86745 1.3709 (114*2π)/7647 weeks
1151.89499 1.27567 (115*2π)/7647 weeks
1162.0086 1.22163 (116*2π)/7647 weeks
1172.07468 1.03229 (117*2π)/7647 weeks
1182.17822 .9907 (118*2π)/7646 weeks
1192.19396 .91898 (119*2π)/7646 weeks
1202.23779 .82922 (120*2π)/7646 weeks
1212.27414 .63395 (121*2π)/7646 weeks
1222.38721 .59774 (122*2π)/7646 weeks
1232.34852 .47438 (123*2π)/7646 weeks
1242.37897 .3877 (124*2π)/7646 weeks
1252.44706 .18967 (125*2π)/7646 weeks
1262.46497 .17129 (126*2π)/7646 weeks
1272.48093 .053 (127*2π)/7646 weeks
1282.47395 -.04362 (128*2π)/7646 weeks
1292.4713 -.18952 (129*2π)/7646 weeks
1302.5017 -.2371 (130*2π)/7646 weeks
1312.44501 -.3602 (131*2π)/7646 weeks
1322.45528 -.45937 (132*2π)/7646 weeks
1332.43971 -.58713 (133*2π)/7646 weeks
1342.39337 -.65222 (134*2π)/7646 weeks
1352.38749 -.75198 (135*2π)/7646 weeks
1362.33868 -.86655 (136*2π)/7646 weeks
1372.3172 -.93135 (137*2π)/7646 weeks
1382.25609 -1.02341 (138*2π)/7646 weeks
1392.22168 -1.13281 (139*2π)/7645 weeks
1402.18889 -1.21809 (140*2π)/7645 weeks
1412.13426 -1.26143 (141*2π)/7645 weeks
1422.06775 -1.34507 (142*2π)/7645 weeks
1432.05073 -1.44761 (143*2π)/7645 weeks
1441.95741 -1.46356 (144*2π)/7645 weeks
1451.89763 -1.54367 (145*2π)/7645 weeks
1461.85951 -1.62383 (146*2π)/7645 weeks
1471.80749 -1.67783 (147*2π)/7645 weeks
1481.70695 -1.68445 (148*2π)/7645 weeks
1491.64719 -1.72719 (149*2π)/7645 weeks
1501.57025 -1.79891 (150*2π)/7645 weeks
1511.53057 -1.876 (151*2π)/7645 weeks
1521.44731 -1.83875 (152*2π)/7645 weeks
1531.38481 -1.88328 (153*2π)/7645 weeks
1541.30855 -1.92795 (154*2π)/7645 weeks
1551.23285 -1.91339 (155*2π)/7645 weeks
1561.15973 -1.94485 (156*2π)/7645 weeks
1571.09762 -1.94832 (157*2π)/7645 weeks
1581.00427 -1.97983 (158*2π)/7645 weeks
159.95589 -1.95517 (159*2π)/7645 weeks
160.87122 -1.98431 (160*2π)/7645 weeks
161.79853 -1.97905 (161*2π)/7645 weeks
162.75152 -1.98429 (162*2π)/7645 weeks
163.69857 -1.97007 (163*2π)/7645 weeks
164.63434 -1.9787 (164*2π)/7645 weeks
165.56381 -1.93443 (165*2π)/7645 weeks
166.51098 -1.96058 (166*2π)/7645 weeks
167.4915 -1.91001 (167*2π)/7645 weeks
168.42217 -1.8894 (168*2π)/7645 weeks
169.37008 -1.86648 (169*2π)/7645 weeks
170.31758 -1.80781 (170*2π)/7644 weeks
171.26654 -1.86327 (171*2π)/7644 weeks
172.25252 -1.78342 (172*2π)/7644 weeks
173.17696 -1.75173 (173*2π)/7644 weeks
174.17349 -1.74907 (174*2π)/7644 weeks
175.14956 -1.69993 (175*2π)/7644 weeks
176.09433 -1.68463 (176*2π)/7644 weeks
177.08983 -1.6654 (177*2π)/7644 weeks
178.07629 -1.56581 (178*2π)/7644 weeks
179.03016 -1.59342 (179*2π)/7644 weeks
180.0232 -1.54467 (180*2π)/7644 weeks
181.02848 -1.50182 (181*2π)/7644 weeks
182.00701 -1.48988 (182*2π)/7644 weeks
183.01199 -1.42881 (183*2π)/7644 weeks
184-.03628 -1.40421 (184*2π)/7644 weeks
185.0087 -1.41238 (185*2π)/7644 weeks
186-.02835 -1.33011 (186*2π)/7644 weeks
187-.0166 -1.31882 (187*2π)/7644 weeks
188-.01133 -1.29136 (188*2π)/7644 weeks
189-.00009 -1.30469 (189*2π)/7644 weeks
190-.00498 -1.25913 (190*2π)/7644 weeks
191.01047 -1.21813 (191*2π)/7644 weeks
192.04353 -1.2075 (192*2π)/7644 weeks
193.05013 -1.22757 (193*2π)/7644 weeks
194.07295 -1.15585 (194*2π)/7644 weeks
195.05602 -1.14929 (195*2π)/7644 weeks
196.10302 -1.15256 (196*2π)/7644 weeks
197.10837 -1.1474 (197*2π)/7644 weeks
198.10039 -1.11375 (198*2π)/7644 weeks
199.12789 -1.13513 (199*2π)/7644 weeks
200.16838 -1.13194 (200*2π)/7644 weeks
201.16298 -1.14119 (201*2π)/7644 weeks
202.19589 -1.12808 (202*2π)/7644 weeks
203.23238 -1.14116 (203*2π)/7644 weeks
204.22321 -1.13117 (204*2π)/7644 weeks
205.23409 -1.17292 (205*2π)/7644 weeks
206.26979 -1.14906 (206*2π)/7644 weeks
207.28847 -1.18745 (207*2π)/7644 weeks
208.28561 -1.17484 (208*2π)/7644 weeks
209.26992 -1.22457 (209*2π)/7644 weeks
210.34521 -1.282 (210*2π)/7644 weeks
211.32758 -1.24222 (211*2π)/7644 weeks
212.31731 -1.29174 (212*2π)/7644 weeks
213.35294 -1.30614 (213*2π)/7644 weeks
214.3437 -1.35878 (214*2π)/7644 weeks
215.35439 -1.41306 (215*2π)/7644 weeks
216.37051 -1.40469 (216*2π)/7644 weeks
217.36214 -1.43213 (217*2π)/7644 weeks
218.33403 -1.47791 (218*2π)/7644 weeks
219.36126 -1.51216 (219*2π)/7643 weeks
220.34886 -1.54842 (220*2π)/7643 weeks
221.33543 -1.59484 (221*2π)/7643 weeks
222.31287 -1.5956 (222*2π)/7643 weeks
223.29289 -1.67234 (223*2π)/7643 weeks
224.30523 -1.71152 (224*2π)/7643 weeks
225.26425 -1.72466 (225*2π)/7643 weeks
226.23475 -1.77061 (226*2π)/7643 weeks
227.23281 -1.82425 (227*2π)/7643 weeks
228.19195 -1.83463 (228*2π)/7643 weeks
229.16393 -1.88708 (229*2π)/7643 weeks
230.14424 -1.89449 (230*2π)/7643 weeks
231.0885 -1.95719 (231*2π)/7643 weeks
232.05568 -1.98105 (232*2π)/7643 weeks
233.03451 -1.99251 (233*2π)/7643 weeks
234-.05267 -2.03753 (234*2π)/7643 weeks
235-.05305 -2.07739 (235*2π)/7643 weeks
236-.11751 -2.08948 (236*2π)/7643 weeks
237-.15467 -2.13934 (237*2π)/7643 weeks
238-.22169 -2.10389 (238*2π)/7643 weeks
239-.27298 -2.16257 (239*2π)/7643 weeks
240-.32885 -2.16051 (240*2π)/7643 weeks
241-.38537 -2.20906 (241*2π)/7643 weeks
242-.44512 -2.19264 (242*2π)/7643 weeks
243-.48727 -2.23675 (243*2π)/7643 weeks
244-.54499 -2.19156 (244*2π)/7643 weeks
245-.62611 -2.23232 (245*2π)/7643 weeks
246-.68529 -2.21844 (246*2π)/7643 weeks
247-.7483 -2.24997 (247*2π)/7643 weeks
248-.8079 -2.19681 (248*2π)/7643 weeks
249-.88844 -2.2138 (249*2π)/7643 weeks
250-.9462 -2.21316 (250*2π)/7643 weeks
251-1.00316 -2.24105 (251*2π)/7643 weeks
252-1.04333 -2.15771 (252*2π)/7643 weeks
253-1.13155 -2.17485 (253*2π)/7643 weeks
254-1.18898 -2.15625 (254*2π)/7643 weeks
255-1.24353 -2.12205 (255*2π)/7643 weeks
256-1.29556 -2.10141 (256*2π)/7643 weeks
257-1.34975 -2.05739 (257*2π)/7643 weeks
258-1.43998 -2.03507 (258*2π)/7643 weeks
259-1.46711 -2.00047 (259*2π)/7643 weeks
260-1.53988 -1.97096 (260*2π)/7643 weeks
261-1.56749 -1.91578 (261*2π)/7643 weeks
262-1.64131 -1.86377 (262*2π)/7643 weeks
263-1.6588 -1.83093 (263*2π)/7643 weeks
264-1.73086 -1.7567 (264*2π)/7643 weeks
265-1.77671 -1.72142 (265*2π)/7643 weeks
266-1.80953 -1.65438 (266*2π)/7643 weeks
267-1.85219 -1.60761 (267*2π)/7643 weeks
268-1.91934 -1.53368 (268*2π)/7643 weeks
269-1.95185 -1.48424 (269*2π)/7643 weeks
270-1.98518 -1.4426 (270*2π)/7643 weeks
271-1.96474 -1.38107 (271*2π)/7643 weeks
272-2.05099 -1.28704 (272*2π)/7643 weeks
273-2.06585 -1.24525 (273*2π)/7643 weeks
274-2.06304 -1.18653 (274*2π)/7643 weeks
275-2.09106 -1.08622 (275*2π)/7643 weeks
276-2.13688 -1.04548 (276*2π)/7643 weeks
277-2.11164 -.97295 (277*2π)/7643 weeks
278-2.15515 -.90042 (278*2π)/7643 weeks
279-2.12827 -.85256 (279*2π)/7643 weeks
280-2.15899 -.76655 (280*2π)/7643 weeks
281-2.17405 -.71203 (281*2π)/7643 weeks
282-2.13488 -.64214 (282*2π)/7643 weeks
283-2.12854 -.58179 (283*2π)/7643 weeks
284-2.1396 -.51282 (284*2π)/7643 weeks
285-2.1203 -.45412 (285*2π)/7643 weeks
286-2.09372 -.37743 (286*2π)/7643 weeks
287-2.09646 -.32591 (287*2π)/7643 weeks
288-2.05974 -.2584 (288*2π)/7643 weeks
289-2.05123 -.19752 (289*2π)/7643 weeks
290-2.03447 -.16445 (290*2π)/7643 weeks
291-1.97192 -.09654 (291*2π)/7643 weeks
292-1.97629 -.03538 (292*2π)/7643 weeks
293-1.92254 .0035 (293*2π)/7643 weeks
294-1.90013 .05072 (294*2π)/7643 weeks
295-1.84698 .10782 (295*2π)/7643 weeks
296-1.80781 .13592 (296*2π)/7643 weeks
297-1.75852 .19489 (297*2π)/7643 weeks
298-1.74947 .22919 (298*2π)/7643 weeks
299-1.66208 .256 (299*2π)/7643 weeks
300-1.63344 .31279 (300*2π)/7643 weeks
301-1.59555 .32212 (301*2π)/7643 weeks
302-1.5457 .37294 (302*2π)/7643 weeks
303-1.49227 .38508 (303*2π)/7643 weeks
304-1.46588 .41407 (304*2π)/7643 weeks
305-1.37671 .41837 (305*2π)/7643 weeks
306-1.33745 .45981 (306*2π)/7642 weeks
307-1.32129 .45818 (307*2π)/7642 weeks
308-1.23171 .47198 (308*2π)/7642 weeks
309-1.18319 .47977 (309*2π)/7642 weeks
310-1.12977 .47116 (310*2π)/7642 weeks
311-1.08923 .52797 (311*2π)/7642 weeks
312-1.04019 .50049 (312*2π)/7642 weeks
313-.99748 .50157 (313*2π)/7642 weeks
314-.95225 .50054 (314*2π)/7642 weeks
315-.89596 .51608 (315*2π)/7642 weeks
316-.88158 .45675 (316*2π)/7642 weeks
317-.79802 .49667 (317*2π)/7642 weeks
318-.80764 .45029 (318*2π)/7642 weeks
319-.71255 .44389 (319*2π)/7642 weeks
320-.72937 .43436 (320*2π)/7642 weeks
321-.65492 .38774 (321*2π)/7642 weeks
322-.62017 .41393 (322*2π)/7642 weeks
323-.6124 .34911 (323*2π)/7642 weeks
324-.57099 .32572 (324*2π)/7642 weeks
325-.52161 .33401 (325*2π)/7642 weeks
326-.52181 .28535 (326*2π)/7642 weeks
327-.50079 .25191 (327*2π)/7642 weeks
328-.47181 .22386 (328*2π)/7642 weeks
329-.43767 .21534 (329*2π)/7642 weeks
330-.44174 .16292 (330*2π)/7642 weeks
331-.43834 .12671 (331*2π)/7642 weeks
332-.39457 .1049 (332*2π)/7642 weeks
333-.40127 .0837 (333*2π)/7642 weeks
334-.40309 .01409 (334*2π)/7642 weeks
335-.38218 .0071 (335*2π)/7642 weeks
336-.38085 -.02346 (336*2π)/7642 weeks
337-.38288 -.05411 (337*2π)/7642 weeks
338-.40204 -.10541 (338*2π)/7642 weeks
339-.3943 -.10104 (339*2π)/7642 weeks
340-.39901 -.1723 (340*2π)/7642 weeks
341-.41622 -.1909 (341*2π)/7642 weeks
342-.42308 -.22014 (342*2π)/7642 weeks
343-.40965 -.24728 (343*2π)/7642 weeks
344-.44149 -.26618 (344*2π)/7642 weeks
345-.46489 -.29155 (345*2π)/7642 weeks
346-.45379 -.31186 (346*2π)/7642 weeks
347-.51009 -.32679 (347*2π)/7642 weeks
348-.51909 -.3679 (348*2π)/7642 weeks
349-.54461 -.35296 (349*2π)/7642 weeks
350-.57547 -.41929 (350*2π)/7642 weeks
351-.58492 -.41277 (351*2π)/7642 weeks
352-.61564 -.41046 (352*2π)/7642 weeks
353-.64576 -.45122 (353*2π)/7642 weeks
354-.67259 -.46946 (354*2π)/7642 weeks
355-.6774 -.4496 (355*2π)/7642 weeks
356-.71968 -.44184 (356*2π)/7642 weeks
357-.74943 -.49576 (357*2π)/7642 weeks
358-.76731 -.45217 (358*2π)/7642 weeks
359-.80671 -.46643 (359*2π)/7642 weeks
360-.80132 -.44599 (360*2π)/7642 weeks
361-.88814 -.45396 (361*2π)/7642 weeks
362-.88338 -.45665 (362*2π)/7642 weeks
363-.91022 -.42034 (363*2π)/7642 weeks
364-.95072 -.42963 (364*2π)/7642 weeks
365-.97075 -.40426 (365*2π)/7642 weeks
366-1.00847 -.40164 (366*2π)/7642 weeks
367-1.0305 -.39194 (367*2π)/7642 weeks
368-1.0468 -.35454 (368*2π)/7642 weeks
369-1.0765 -.34248 (369*2π)/7642 weeks
370-1.09597 -.35062 (370*2π)/7642 weeks
371-1.10598 -.29762 (371*2π)/7642 weeks
372-1.12982 -.27499 (372*2π)/7642 weeks
373-1.15618 -.28246 (373*2π)/7642 weeks
374-1.15357 -.21892 (374*2π)/7642 weeks
375-1.17663 -.20625 (375*2π)/7642 weeks
376-1.188 -.19633 (376*2π)/7642 weeks
377-1.19708 -.13871 (377*2π)/7642 weeks
378-1.21973 -.12372 (378*2π)/7642 weeks
379-1.20037 -.09718 (379*2π)/7642 weeks
380-1.21517 -.0449 (380*2π)/7642 weeks
381-1.22192 -.05067 (381*2π)/7642 weeks
382-1.21332   (382*2π)/7642 weeks
383-1.22192 .05067 (383*2π)/7642 weeks
384-1.21517 .0449 (384*2π)/7642 weeks
385-1.20037 .09718 (385*2π)/7642 weeks
386-1.21973 .12372 (386*2π)/7642 weeks
387-1.19708 .13871 (387*2π)/7642 weeks
388-1.188 .19633 (388*2π)/7642 weeks
389-1.17663 .20625 (389*2π)/7642 weeks
390-1.15357 .21892 (390*2π)/7642 weeks
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