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Fourier Analysis of ZAZA (ZaZa Energy Corporation)


ZAZA (ZaZa Energy Corporation) appears to have interesting cyclic behaviour every 206 weeks (11.2*cosine), 187 weeks (8.8342*sine), and 147 weeks (4.3918*cosine).

ZAZA (ZaZa Energy Corporation) has an average price of 51.29 (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 3/17/1980 to 2/24/2020 for ZAZA (ZaZa Energy Corporation), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
051.28594   0 
1-20.64691 -29.52633 (1*2π)/20552,055 weeks
2-17.06708 37.71202 (2*2π)/20551,028 weeks
326.8893 10.78792 (3*2π)/2055685 weeks
4-4.66825 -11.29534 (4*2π)/2055514 weeks
5.45051 19.58488 (5*2π)/2055411 weeks
622.98751 -4.65282 (6*2π)/2055343 weeks
7-15.20873 -5.06596 (7*2π)/2055294 weeks
84.79442 27.18578 (8*2π)/2055257 weeks
914.67941 -2.10385 (9*2π)/2055228 weeks
10-11.19996 -.9719 (10*2π)/2055206 weeks
111.25562 8.83417 (11*2π)/2055187 weeks
121.91287 3.15918 (12*2π)/2055171 weeks
13-.74352 3.17764 (13*2π)/2055158 weeks
144.39183 4.25341 (14*2π)/2055147 weeks
15-1.84991 .3022 (15*2π)/2055137 weeks
16-2.94878 6.92728 (16*2π)/2055128 weeks
171.12671 3.56064 (17*2π)/2055121 weeks
18-.94875 1.66056 (18*2π)/2055114 weeks
19-1.0908 -.21349 (19*2π)/2055108 weeks
20-1.43699 .27973 (20*2π)/2055103 weeks
21-.47774 4.47882 (21*2π)/205598 weeks
222.6864 2.40679 (22*2π)/205593 weeks
23-.68256 .63143 (23*2π)/205589 weeks
24-1.30633 1.92157 (24*2π)/205586 weeks
25-.89597 1.20825 (25*2π)/205582 weeks
26-2.81283 .90849 (26*2π)/205579 weeks
271.01903 3.52519 (27*2π)/205576 weeks
283.27508 -.05741 (28*2π)/205573 weeks
29-1.08681 -1.45504 (29*2π)/205571 weeks
30-3.94772 2.39778 (30*2π)/205569 weeks
31.2246 5.15021 (31*2π)/205566 weeks
323.55801 1.37338 (32*2π)/205564 weeks
33-1.96622 -3.114 (33*2π)/205562 weeks
34-3.79169 2.33464 (34*2π)/205560 weeks
35-.19453 2.15084 (35*2π)/205559 weeks
36.93425 .791 (36*2π)/205557 weeks
37.42126 .35056 (37*2π)/205556 weeks
38-.03409 -.51589 (38*2π)/205554 weeks
39-3.05525 1.1065 (39*2π)/205553 weeks
40-.46689 3.21117 (40*2π)/205551 weeks
411.39347 -.78652 (41*2π)/205550 weeks
42-.48385 -1.54303 (42*2π)/205549 weeks
43-1.00793 1.14572 (43*2π)/205548 weeks
44-.24466 1.84914 (44*2π)/205547 weeks
45.23758 1.1573 (45*2π)/205546 weeks
46-.01268 .08681 (46*2π)/205545 weeks
47-1.04241 .08617 (47*2π)/205544 weeks
48-.59089 -.35946 (48*2π)/205543 weeks
49-1.47753 1.15143 (49*2π)/205542 weeks
502.35114 1.84219 (50*2π)/205541 weeks
51.70066 -2.38909 (51*2π)/205540 weeks
52-3.57754 1.40313 (52*2π)/205540 weeks
531.2435 2.95063 (53*2π)/205539 weeks
54.65546 -1.49941 (54*2π)/205538 weeks
55-2.47618 1.17138 (55*2π)/205537 weeks
561.23959 .58152 (56*2π)/205537 weeks
57-1.09476 -2.39458 (57*2π)/205536 weeks
58-1.72948 2.62156 (58*2π)/205535 weeks
593.03693 .31071 (59*2π)/205535 weeks
60-1.56958 -2.25576 (60*2π)/205534 weeks
61-1.27409 2.98825 (61*2π)/205534 weeks
621.91627 .32692 (62*2π)/205533 weeks
63-1.48229 -2.35125 (63*2π)/205533 weeks
64-1.09371 2.10459 (64*2π)/205532 weeks
652.37481 -.66722 (65*2π)/205532 weeks
66-1.35817 -.85107 (66*2π)/205531 weeks
67.35253 1.9762 (67*2π)/205531 weeks
681.2865 -.35614 (68*2π)/205530 weeks
69-.77024 .15136 (69*2π)/205530 weeks
70.44972 1.47262 (70*2π)/205529 weeks
71-.46179 -.41339 (71*2π)/205529 weeks
72-.07239 1.22668 (72*2π)/205529 weeks
73.90668 -.16779 (73*2π)/205528 weeks
74-1.03406 -.02188 (74*2π)/205528 weeks
75.3651 2.16267 (75*2π)/205527 weeks
76.42846 -.3324 (76*2π)/205527 weeks
77-2.03892 .84585 (77*2π)/205527 weeks
78.90876 1.25171 (78*2π)/205526 weeks
79-.42578 -1.29758 (79*2π)/205526 weeks
80-1.85855 .71751 (80*2π)/205526 weeks
811.09019 .65441 (81*2π)/205525 weeks
82-.6576 -.85144 (82*2π)/205525 weeks
83-.69899 1.01649 (83*2π)/205525 weeks
84.66934 .07338 (84*2π)/205524 weeks
85-.37009 -.76894 (85*2π)/205524 weeks
86-.89746 .63104 (86*2π)/205524 weeks
87.6089 .28108 (87*2π)/205524 weeks
88-.39482 -.51926 (88*2π)/205523 weeks
89.09766 .31484 (89*2π)/205523 weeks
90.26914 .18312 (90*2π)/205523 weeks
91-.36663 -.05366 (91*2π)/205523 weeks
92-.48105 .28595 (92*2π)/205522 weeks
93.82728 .20669 (93*2π)/205522 weeks
94.23519 -.56203 (94*2π)/205522 weeks
95-.25606 .62767 (95*2π)/205522 weeks
96.4468 .88045 (96*2π)/205521 weeks
97-.05816 .15119 (97*2π)/205521 weeks
98-.67482 .62284 (98*2π)/205521 weeks
99-.32245 .40938 (99*2π)/205521 weeks
100-.41386 -.44661 (100*2π)/205521 weeks
101-.13091 .39162 (101*2π)/205520 weeks
102.34155 -.17693 (102*2π)/205520 weeks
103-.09547 -.1059 (103*2π)/205520 weeks
104-.61978 .40153 (104*2π)/205520 weeks
105-.04224 .19027 (105*2π)/205520 weeks
106-.10332 -.08709 (106*2π)/205519 weeks
107.14183 -.05998 (107*2π)/205519 weeks
108.15461 -.2121 (108*2π)/205519 weeks
109.06393 -.03346 (109*2π)/205519 weeks
110-.07298 .39663 (110*2π)/205519 weeks
111.17326 .27802 (111*2π)/205519 weeks
112.18963 .11796 (112*2π)/205518 weeks
113.08342 .28494 (113*2π)/205518 weeks
114-.36019 .08063 (114*2π)/205518 weeks
115.12969 .69315 (115*2π)/205518 weeks
116.22064 .11499 (116*2π)/205518 weeks
117-.69822 -.31694 (117*2π)/205518 weeks
118-.3636 .98428 (118*2π)/205517 weeks
119.49383 -.08032 (119*2π)/205517 weeks
120-.49379 -.41357 (120*2π)/205517 weeks
121-.3413 .13204 (121*2π)/205517 weeks
122.09488 .465 (122*2π)/205517 weeks
123.33052 -.19971 (123*2π)/205517 weeks
124-.26639 .15658 (124*2π)/205517 weeks
125-.19016 .03518 (125*2π)/205516 weeks
126-.11505 .19844 (126*2π)/205516 weeks
127.21221 .13835 (127*2π)/205516 weeks
128-.5958 .10548 (128*2π)/205516 weeks
129.23579 .51815 (129*2π)/205516 weeks
130.09582 -.57271 (130*2π)/205516 weeks
131-.80186 .20407 (131*2π)/205516 weeks
132-.2483 .42679 (132*2π)/205516 weeks
133.45491 -.53199 (133*2π)/205515 weeks
134-.87332 -.45516 (134*2π)/205515 weeks
135.55848 .76118 (135*2π)/205515 weeks
136.67404 -.66792 (136*2π)/205515 weeks
137-.94483 -.13421 (137*2π)/205515 weeks
138.01165 .74993 (138*2π)/205515 weeks
139.60291 -.22609 (139*2π)/205515 weeks
140-.35357 -.31758 (140*2π)/205515 weeks
141-.10832 .19744 (141*2π)/205515 weeks
142.15052 .04811 (142*2π)/205514 weeks
143-.12465 .36009 (143*2π)/205514 weeks
144.38956 -.36575 (144*2π)/205514 weeks
145-.72189 -.29445 (145*2π)/205514 weeks
146-.1745 .44568 (146*2π)/205514 weeks
147.87085 .2417 (147*2π)/205514 weeks
148-.18753 -.75575 (148*2π)/205514 weeks
149-.42952 .2785 (149*2π)/205514 weeks
150-.0249 .27094 (150*2π)/205514 weeks
151.33569 -.14895 (151*2π)/205514 weeks
152-.15077 -.19735 (152*2π)/205514 weeks
153-.11546 .03434 (153*2π)/205513 weeks
154-.279 -.0202 (154*2π)/205513 weeks
155.4123 .24204 (155*2π)/205513 weeks
156.02929 -.7196 (156*2π)/205513 weeks
157-.47558 -.125 (157*2π)/205513 weeks
158.07213 .19653 (158*2π)/205513 weeks
159.49751 -.14743 (159*2π)/205513 weeks
160.00793 -.13586 (160*2π)/205513 weeks
161.01652 -.37556 (161*2π)/205513 weeks
162-.09637 -.39686 (162*2π)/205513 weeks
163.40663 .06715 (163*2π)/205513 weeks
164.24182 -.0006 (164*2π)/205513 weeks
165.49073 -.06145 (165*2π)/205512 weeks
166.3043 -.27983 (166*2π)/205512 weeks
167.00496 -.12098 (167*2π)/205512 weeks
168.38762 .38508 (168*2π)/205512 weeks
169.427 -.05656 (169*2π)/205512 weeks
170.03144 -.09789 (170*2π)/205512 weeks
171.45519 .40248 (171*2π)/205512 weeks
172.43301 -.11182 (172*2π)/205512 weeks
173-.07524 .1469 (173*2π)/205512 weeks
174.23365 .34245 (174*2π)/205512 weeks
175.13771 .10676 (175*2π)/205512 weeks
176.27592 .15201 (176*2π)/205512 weeks
177.12889 .1479 (177*2π)/205512 weeks
178.25512 -.09843 (178*2π)/205512 weeks
179-.0008 .31565 (179*2π)/205511 weeks
180.13448 .4089 (180*2π)/205511 weeks
181-.11321 .18954 (181*2π)/205511 weeks
182.30501 .04866 (182*2π)/205511 weeks
183.12754 -.21768 (183*2π)/205511 weeks
184-.06279 .02823 (184*2π)/205511 weeks
185.01106 .49177 (185*2π)/205511 weeks
186.28052 .06698 (186*2π)/205511 weeks
187.05326 .0049 (187*2π)/205511 weeks
188.24189 .19708 (188*2π)/205511 weeks
189.03844 -.08365 (189*2π)/205511 weeks
190-.17982 .10985 (190*2π)/205511 weeks
191.31102 .39229 (191*2π)/205511 weeks
192.12513 -.22076 (192*2π)/205511 weeks
193-.12927 .13664 (193*2π)/205511 weeks
194.42315 .0319 (194*2π)/205511 weeks
195.27116 -.11102 (195*2π)/205511 weeks
196-.05949 .41437 (196*2π)/205510 weeks
197.45252 .33379 (197*2π)/205510 weeks
198-.16675 -.20998 (198*2π)/205510 weeks
199.10179 .46018 (199*2π)/205510 weeks
200.46122 .05541 (200*2π)/205510 weeks
201-.10889 .02383 (201*2π)/205510 weeks
202-.0617 .25892 (202*2π)/205510 weeks
203.44103 .26813 (203*2π)/205510 weeks
204.05804 .2152 (204*2π)/205510 weeks
205.11806 .38741 (205*2π)/205510 weeks
206.04591 -.10698 (206*2π)/205510 weeks
207-.37866 .36706 (207*2π)/205510 weeks
208.33831 .42136 (208*2π)/205510 weeks
209.05571 -.09018 (209*2π)/205510 weeks
210-.09019 .28795 (210*2π)/205510 weeks
211.15599 .24448 (211*2π)/205510 weeks
212-.1674 .16208 (212*2π)/205510 weeks
213-.55537 .5335 (213*2π)/205510 weeks
214.38201 -.00244 (214*2π)/205510 weeks
215-.33855 -.21776 (215*2π)/205510 weeks
216-.24612 .09203 (216*2π)/205510 weeks
217-.04937 .06405 (217*2π)/20559 weeks
218.09948 -.10243 (218*2π)/20559 weeks
219-.25427 .16754 (219*2π)/20559 weeks
220.07853 -.14037 (220*2π)/20559 weeks
221-.07225 -.1404 (221*2π)/20559 weeks
222-.04279 -.20602 (222*2π)/20559 weeks
223.23818 -.18339 (223*2π)/20559 weeks
224.13629 -.1153 (224*2π)/20559 weeks
225.27454 .27085 (225*2π)/20559 weeks
226.40468 .03736 (226*2π)/20559 weeks
227-.31057 .09343 (227*2π)/20559 weeks
228.06827 .00948 (228*2π)/20559 weeks
229.27981 -.20504 (229*2π)/20559 weeks
230.05355 -.05473 (230*2π)/20559 weeks
231.39568 .33638 (231*2π)/20559 weeks
232.34173 .07556 (232*2π)/20559 weeks
233.00669 -.08619 (233*2π)/20559 weeks
234-.20152 .52457 (234*2π)/20559 weeks
235.38258 .12335 (235*2π)/20559 weeks
236.08605 -.36829 (236*2π)/20559 weeks
237-.03493 .25232 (237*2π)/20559 weeks
238.38994 .46581 (238*2π)/20559 weeks
239.23255 -.12235 (239*2π)/20559 weeks
240-.23692 .32635 (240*2π)/20559 weeks
241.16209 .41347 (241*2π)/20559 weeks
242-.00096 -.0422 (242*2π)/20558 weeks
243-.18783 .11229 (243*2π)/20558 weeks
244.01433 .00289 (244*2π)/20558 weeks
245-.03675 .26539 (245*2π)/20558 weeks
246.34831 .09143 (246*2π)/20558 weeks
247-.27878 -.16795 (247*2π)/20558 weeks
248-.073 .11438 (248*2π)/20558 weeks
249.28499 .00153 (249*2π)/20558 weeks
250-.08952 -.15194 (250*2π)/20558 weeks
251.08859 .50481 (251*2π)/20558 weeks
252.58855 -.3363 (252*2π)/20558 weeks
253-.56108 .06437 (253*2π)/20558 weeks
254.46761 .69253 (254*2π)/20558 weeks
255.17156 -.62625 (255*2π)/20558 weeks
256-.48861 .18957 (256*2π)/20558 weeks
257.61901 .54778 (257*2π)/20558 weeks
258.23396 -.36373 (258*2π)/20558 weeks
259-.36543 .26042 (259*2π)/20558 weeks
260.38007 .31084 (260*2π)/20558 weeks
261-.08315 -.01529 (261*2π)/20558 weeks
262-.02732 .41878 (262*2π)/20558 weeks
263.31804 -.19332 (263*2π)/20558 weeks
264-.47601 -.02292 (264*2π)/20558 weeks
265.23435 .635 (265*2π)/20558 weeks
266.16876 -.38938 (266*2π)/20558 weeks
267-.38188 .02912 (267*2π)/20558 weeks
268.14251 .41739 (268*2π)/20558 weeks
269.18855 -.32008 (269*2π)/20558 weeks
270-.05771 .1223 (270*2π)/20558 weeks
271.15869 -.04344 (271*2π)/20558 weeks
272-.2999 -.03487 (272*2π)/20558 weeks
273.208 .49849 (273*2π)/20558 weeks
274.43073 -.5239 (274*2π)/20558 weeks
275-.53677 -.38306 (275*2π)/20557 weeks
276.37832 .56879 (276*2π)/20557 weeks
277.5837 -.25096 (277*2π)/20557 weeks
278.07253 -.02806 (278*2π)/20557 weeks
279.33084 .27645 (279*2π)/20557 weeks
280-.02649 -.0466 (280*2π)/20557 weeks
281.05047 .48911 (281*2π)/20557 weeks
282.66135 .15556 (282*2π)/20557 weeks
283-.14669 -.23383 (283*2π)/20557 weeks
284-.04199 .5145 (284*2π)/20557 weeks
285.24558 -.01545 (285*2π)/20557 weeks
286.00934 .31467 (286*2π)/20557 weeks
287.43472 .33934 (287*2π)/20557 weeks
288.03941 -.23203 (288*2π)/20557 weeks
289-.38835 .42238 (289*2π)/20557 weeks
290.33504 .40748 (290*2π)/20557 weeks
291.09285 -.09526 (291*2π)/20557 weeks
292.09999 .2863 (292*2π)/20557 weeks
293-.01652 -.02564 (293*2π)/20557 weeks
294-.18295 .33216 (294*2π)/20557 weeks
295.22148 .51066 (295*2π)/20557 weeks
296.05274 -.12634 (296*2π)/20557 weeks
297-.0946 .05669 (297*2π)/20557 weeks
298.04882 .18163 (298*2π)/20557 weeks
299-.05043 .13253 (299*2π)/20557 weeks
300-.13184 .51673 (300*2π)/20557 weeks
301.38927 -.01078 (301*2π)/20557 weeks
302-.29133 .07875 (302*2π)/20557 weeks
303-.12587 .2107 (303*2π)/20557 weeks
304-.19208 .08309 (304*2π)/20557 weeks
305.09647 .12896 (305*2π)/20557 weeks
306.15764 -.00591 (306*2π)/20557 weeks
307-.14368 -.0895 (307*2π)/20557 weeks
308-.11327 .45636 (308*2π)/20557 weeks
309.26344 .09564 (309*2π)/20557 weeks
310-.16556 -.11655 (310*2π)/20557 weeks
311-.31135 .27246 (311*2π)/20557 weeks
312.21519 .13954 (312*2π)/20557 weeks
313.01779 -.221 (313*2π)/20557 weeks
314-.23647 .26146 (314*2π)/20557 weeks
315.21171 .17708 (315*2π)/20557 weeks
316.08383 -.13458 (316*2π)/20557 weeks
317-.48273 .018 (317*2π)/20556 weeks
318.05916 .40673 (318*2π)/20556 weeks
319.35861 -.10263 (319*2π)/20556 weeks
320-.19862 -.03746 (320*2π)/20556 weeks
321-.02484 .09166 (321*2π)/20556 weeks
322-.14156 -.11916 (322*2π)/20556 weeks
323-.22239 .48491 (323*2π)/20556 weeks
324.67453 .13831 (324*2π)/20556 weeks
325-.28892 -.76028 (325*2π)/20556 weeks
326-.68303 .49769 (326*2π)/20556 weeks
327.53926 .35862 (327*2π)/20556 weeks
328-.04841 -.43527 (328*2π)/20556 weeks
329-.0254 .15843 (329*2π)/20556 weeks
330.20344 -.20017 (330*2π)/20556 weeks
331-.3283 -.02154 (331*2π)/20556 weeks
332.14794 .58499 (332*2π)/20556 weeks
333.40366 -.45827 (333*2π)/20556 weeks
334-.49537 -.00676 (334*2π)/20556 weeks
335.26947 .48095 (335*2π)/20556 weeks
336.19977 -.36465 (336*2π)/20556 weeks
337-.29619 .12933 (337*2π)/20556 weeks
338.24695 .13373 (338*2π)/20556 weeks
339.10125 -.19807 (339*2π)/20556 weeks
340-.14343 .41527 (340*2π)/20556 weeks
341.33609 -.05371 (341*2π)/20556 weeks
342-.32197 -.17329 (342*2π)/20556 weeks
343.09148 .42222 (343*2π)/20556 weeks
344.31391 -.12211 (344*2π)/20556 weeks
345-.16164 -.09436 (345*2π)/20556 weeks
346-.06792 .28724 (346*2π)/20556 weeks
347.33093 -.05632 (347*2π)/20556 weeks
348-.31879 .12684 (348*2π)/20556 weeks
349.16179 .33666 (349*2π)/20556 weeks
350.33324 -.30615 (350*2π)/20556 weeks
351-.50301 -.03589 (351*2π)/20556 weeks
352.11046 .61769 (352*2π)/20556 weeks
353.4762 -.15461 (353*2π)/20556 weeks
354-.46555 -.20891 (354*2π)/20556 weeks
355-.21943 .66401 (355*2π)/20556 weeks
356.35043 -.07461 (356*2π)/20556 weeks
357-.40908 -.44409 (357*2π)/20556 weeks
358-.13695 .1892 (358*2π)/20556 weeks
359.28721 -.06018 (359*2π)/20556 weeks
360-.13873 -.13613 (360*2π)/20556 weeks
361.1024 .14761 (361*2π)/20556 weeks
362.14492 -.21863 (362*2π)/20556 weeks
363-.06563 -.05801 (363*2π)/20556 weeks
364.05248 .08904 (364*2π)/20556 weeks
365.24416 -.08973 (365*2π)/20556 weeks
366.09949 .06855 (366*2π)/20556 weeks
367.25317 .08618 (367*2π)/20556 weeks
368-.11442 .02757 (368*2π)/20556 weeks
369.04776 .14976 (369*2π)/20556 weeks
370.2093 .01809 (370*2π)/20556 weeks
371.07609 .00948 (371*2π)/20556 weeks
372.0278 .18288 (372*2π)/20556 weeks
373.1668 .11095 (373*2π)/20556 weeks
374-.04752 .11094 (374*2π)/20555 weeks
375.05935 .22391 (375*2π)/20555 weeks
376.02744 .00742 (376*2π)/20555 weeks
377-.15886 .2103 (377*2π)/20555 weeks
378.04026 .15178 (378*2π)/20555 weeks
379-.05337 -.11991 (379*2π)/20555 weeks
380-.16556 .07711 (380*2π)/20555 weeks
381.04162 .24746 (381*2π)/20555 weeks
382.1068 -.11104 (382*2π)/20555 weeks
383-.20671 -.10645 (383*2π)/20555 weeks
384-.17366 .1709 (384*2π)/20555 weeks
385.13656 -.02404 (385*2π)/20555 weeks
386-.03241 -.11055 (386*2π)/20555 weeks
387-.0994 .0618 (387*2π)/20555 weeks
388.05723 -.07507 (388*2π)/20555 weeks
389-.03293 -.13711 (389*2π)/20555 weeks
390.10222 -.07824 (390*2π)/20555 weeks
391-.02559 -.01587 (391*2π)/20555 weeks
392  .02924 (392*2π)/20555 weeks
393.30159 .01589 (393*2π)/20555 weeks
394.01852 -.2479 (394*2π)/20555 weeks
395-.17208 .04434 (395*2π)/20555 weeks
396.27992 .10221 (396*2π)/20555 weeks
397.12274 -.13371 (397*2π)/20555 weeks
398.03058 .02614 (398*2π)/20555 weeks
399.26763 -.04164 (399*2π)/20555 weeks
400-.15023 -.10137 (400*2π)/20555 weeks
401.16645 .21783 (401*2π)/20555 weeks
402.31861 -.09909 (402*2π)/20555 weeks
403.12302 -.09956 (403*2π)/20555 weeks
404.16027 .02768 (404*2π)/20555 weeks
405.05088 .24216 (405*2π)/20555 weeks
406.29105 .27986 (406*2π)/20555 weeks
407.22994 -.09471 (407*2π)/20555 weeks
408-.19433 -.07964 (408*2π)/20555 weeks
409.07737 .45714 (409*2π)/20555 weeks
410.29605 .09045 (410*2π)/20555 weeks
411.03692 -.02182 (411*2π)/20555 weeks
412.03392 .09853 (412*2π)/20555 weeks
413-.06881 .1107 (413*2π)/20555 weeks
414.07927 .27379 (414*2π)/20555 weeks
415.36688 .06394 (415*2π)/20555 weeks
416-.10557 -.05662 (416*2π)/20555 weeks
417-.03849 .37704 (417*2π)/20555 weeks
418.00352 .17426 (418*2π)/20555 weeks
419-.19172 .14887 (419*2π)/20555 weeks
420.11675 .14653 (420*2π)/20555 weeks
421-.0144 -.27765 (421*2π)/20555 weeks
422-.20359