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Fourier Analysis of ATTU (Attunity Ltd.)


ATTU (Attunity Ltd.) appears to have interesting cyclic behaviour every 89 weeks (3.5849*sine), 96 weeks (2.7716*cosine), and 52 weeks (2.3785*cosine).

ATTU (Attunity Ltd.) has an average price of 16.93 (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 1/26/1993 to 11/28/2016 for ATTU (Attunity Ltd.), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
016.9254   0 
16.97097 18.60077 (1*2π)/12441,244 weeks
2-7.48029 4.23637 (2*2π)/1244622 weeks
3-3.20985 -6.87796 (3*2π)/1244415 weeks
44.1013 -.76169 (4*2π)/1244311 weeks
5.65365 -1.3398 (5*2π)/1244249 weeks
66.15707 -1.22835 (6*2π)/1244207 weeks
75.05527 6.10356 (7*2π)/1244178 weeks
8-2.51651 5.77637 (8*2π)/1244156 weeks
9-3.14719 -.0282 (9*2π)/1244138 weeks
10.73559 .1824 (10*2π)/1244124 weeks
11-.66459 1.43323 (11*2π)/1244113 weeks
12.11306 -1.05857 (12*2π)/1244104 weeks
132.77156 1.0813 (13*2π)/124496 weeks
14-.12142 3.58487 (14*2π)/124489 weeks
15-1.69758 .89082 (15*2π)/124483 weeks
16.23796 -.4171 (16*2π)/124478 weeks
17.83109 .43701 (17*2π)/124473 weeks
18.02368 -.80671 (18*2π)/124469 weeks
192.05035 -1.0027 (19*2π)/124465 weeks
202.03272 2.1104 (20*2π)/124462 weeks
21-1.09328 2.03034 (21*2π)/124459 weeks
22-1.23601 -.64466 (22*2π)/124457 weeks
231.4163 -1.50631 (23*2π)/124454 weeks
242.3785 1.00803 (24*2π)/124452 weeks
25.70994 1.65072 (25*2π)/124450 weeks
26-.2303 1.08184 (26*2π)/124448 weeks
27.00093 .34746 (27*2π)/124446 weeks
28-.00588 .74238 (28*2π)/124444 weeks
29-.02637 -.30245 (29*2π)/124443 weeks
301.77091 .11265 (30*2π)/124441 weeks
311.33352 2.58032 (31*2π)/124440 weeks
32-1.01654 2.41405 (32*2π)/124439 weeks
33-1.23382 .48612 (33*2π)/124438 weeks
34-.15625 .09685 (34*2π)/124437 weeks
35-.15669 .40209 (35*2π)/124436 weeks
36.44946 -.04553 (36*2π)/124435 weeks
371.1421 1.11333 (37*2π)/124434 weeks
38-.47313 1.85045 (38*2π)/124433 weeks
39-1.46398 .25151 (39*2π)/124432 weeks
40-.06132 -.68296 (40*2π)/124431 weeks
41.67904 .38358 (41*2π)/124430 weeks
42-.16308 .68044 (42*2π)/124430 weeks
43.54899 .09096 (43*2π)/124429 weeks
44.62948 1.34758 (44*2π)/124428 weeks
45-.88625 1.19091 (45*2π)/124428 weeks
46-.93171 -.6288 (46*2π)/124427 weeks
471.03482 -.77578 (47*2π)/124426 weeks
481.1525 1.05235 (48*2π)/124426 weeks
49-.05738 1.05577 (49*2π)/124425 weeks
50.0723 .54019 (50*2π)/124425 weeks
51-.27042 .87926 (51*2π)/124424 weeks
52-.99197 -.11793 (52*2π)/124424 weeks
53.47435 -.98236 (53*2π)/124423 weeks
541.20454 .60196 (54*2π)/124423 weeks
55-.20649 1.24851 (55*2π)/124423 weeks
56-.41083 .34758 (56*2π)/124422 weeks
57-.17754 .51725 (57*2π)/124422 weeks
58-.6316 .01209 (58*2π)/124421 weeks
59.24606 -.67586 (59*2π)/124421 weeks
601.26014 .32098 (60*2π)/124421 weeks
61.26268 1.53428 (61*2π)/124420 weeks
62-.93356 .70525 (62*2π)/124420 weeks
63-.53652 -.19484 (63*2π)/124420 weeks
64-.06815 -.23195 (64*2π)/124419 weeks
65.29452 -.24772 (65*2π)/124419 weeks
66.8575 .21231 (66*2π)/124419 weeks
67.58082 1.37137 (67*2π)/124419 weeks
68-1.07077 1.29623 (68*2π)/124418 weeks
69-1.31785 -.55958 (69*2π)/124418 weeks
70.20829 -1.13132 (70*2π)/124418 weeks
71.93651 -.16019 (71*2π)/124418 weeks
72.58962 .55606 (72*2π)/124417 weeks
73.44573 .70706 (73*2π)/124417 weeks
74-.3196 1.09514 (74*2π)/124417 weeks
75-1.06294 .04142 (75*2π)/124417 weeks
76-.13492 -1.00454 (76*2π)/124416 weeks
771.00186 -.19911 (77*2π)/124416 weeks
78.30427 .68787 (78*2π)/124416 weeks
79-.24002 .17043 (79*2π)/124416 weeks
80.28356 .03316 (80*2π)/124416 weeks
81.08734 .6379 (81*2π)/124415 weeks
82-.59114 .14075 (82*2π)/124415 weeks
83.08571 -.41881 (83*2π)/124415 weeks
84.45918 .17639 (84*2π)/124415 weeks
85-.07527 .3708 (85*2π)/124415 weeks
86-.04755 -.16585 (86*2π)/124414 weeks
87.39525 .16066 (87*2π)/124414 weeks
88-.04775 .47683 (88*2π)/124414 weeks
89-.13809 -.1135 (89*2π)/124414 weeks
90.42037 -.09061 (90*2π)/124414 weeks
91.29375 .47628 (91*2π)/124414 weeks
92-.17854 .28246 (92*2π)/124414 weeks
93.14817 -.12846 (93*2π)/124413 weeks
94.39958 .25801 (94*2π)/124413 weeks
95-.00412 .19396 (95*2π)/124413 weeks
96.32621 -.02727 (96*2π)/124413 weeks
97.53865 .45185 (97*2π)/124413 weeks
98-.09588 .70721 (98*2π)/124413 weeks
99-.3726 -.15757 (99*2π)/124413 weeks
100.54309 -.23715 (100*2π)/124412 weeks
101.43613 .61449 (101*2π)/124412 weeks
102-.18462 .54159 (102*2π)/124412 weeks
103-.0501 .13177 (103*2π)/124412 weeks
104.23411 .38565 (104*2π)/124412 weeks
105-.26624 .42275 (105*2π)/124412 weeks
106-.14047 -.26831 (106*2π)/124412 weeks
107.46589 .07023 (107*2π)/124412 weeks
108.13574 .54622 (108*2π)/124412 weeks
109-.21778 .29905 (109*2π)/124411 weeks
110-.03553 .04546 (110*2π)/124411 weeks
111-.01101 .21455 (111*2π)/124411 weeks
112-.10429 .07904 (112*2π)/124411 weeks
113.15189 .13661 (113*2π)/124411 weeks
114.01008 .33502 (114*2π)/124411 weeks
115-.21968 .20406 (115*2π)/124411 weeks
116-.18073 -.21738 (116*2π)/124411 weeks
117.30449 -.08291 (117*2π)/124411 weeks
118.20802 .26404 (118*2π)/124411 weeks
119.0552 .29832 (119*2π)/124410 weeks
120.07475 .13606 (120*2π)/124410 weeks
121.19592 .24864 (121*2π)/124410 weeks
122-.01696 .24662 (122*2π)/124410 weeks
123-.06887 .04947 (123*2π)/124410 weeks
124.22646 .04202 (124*2π)/124410 weeks
125.1479 .34398 (125*2π)/124410 weeks
126-.12153 .18983 (126*2π)/124410 weeks
127.12993 -.0395 (127*2π)/124410 weeks
128.30538 .3641 (128*2π)/124410 weeks
129-.1777 .37544 (129*2π)/124410 weeks
130-.04825 -.04517 (130*2π)/124410 weeks
131.20629 .19078 (131*2π)/12449 weeks
132-.17345 .35642 (132*2π)/12449 weeks
133-.16165 -.04812 (133*2π)/12449 weeks
134.17332 .21427 (134*2π)/12449 weeks
135-.2002 .36569 (135*2π)/12449 weeks
136-.21861 -.14719 (136*2π)/12449 weeks
137.41664 -.10017 (137*2π)/12449 weeks
138.05135 .50617 (138*2π)/12449 weeks
139-.41885 -.02216 (139*2π)/12449 weeks
140.11308 -.31984 (140*2π)/12449 weeks
141.36193 .24841 (141*2π)/12449 weeks
142-.20451 .30348 (142*2π)/12449 weeks
143-.16414 -.16009 (143*2π)/12449 weeks
144.14226 .13755 (144*2π)/12449 weeks
145-.34006 .22141 (145*2π)/12449 weeks
146-.17717 -.37276 (146*2π)/12449 weeks
147.45063 -.12478 (147*2π)/12448 weeks
148.1725 .43674 (148*2π)/12448 weeks
149-.29083 .14103 (149*2π)/12448 weeks
150.0534 -.15877 (150*2π)/12448 weeks
151.14137 .14437 (151*2π)/12448 weeks
152-.0457 .03949 (152*2π)/12448 weeks
153.2455 -.10502 (153*2π)/12448 weeks
154.31327 .30985 (154*2π)/12448 weeks
155-.1378 .34102 (155*2π)/12448 weeks
156-.12299 -.07034 (156*2π)/12448 weeks
157.17164 -.03011 (157*2π)/12448 weeks
158.13454 .07149 (158*2π)/12448 weeks
159.18241 -.01828 (159*2π)/12448 weeks
160.30721 .18565 (160*2π)/12448 weeks
161.0404 .32484 (161*2π)/12448 weeks
162-.14045 .12834 (162*2π)/12448 weeks
163-.01642 -.07197 (163*2π)/12448 weeks
164.0831 .05738 (164*2π)/12448 weeks
165-.02932 .0297 (165*2π)/12448 weeks
166.09233 -.04208 (166*2π)/12447 weeks
167.14071 .2064 (167*2π)/12447 weeks
168-.14248 .21319 (168*2π)/12447 weeks
169-.19867 -.07681 (169*2π)/12447 weeks
170.15108 -.17086 (170*2π)/12447 weeks
171.17214 .08201 (171*2π)/12447 weeks
172.106 .07143 (172*2π)/12447 weeks
173.09752 .01579 (173*2π)/12447 weeks
174.19089 .05484 (174*2π)/12447 weeks
175.0823 .16949 (175*2π)/12447 weeks
176.01792 .06312 (176*2π)/12447 weeks
177.14718 .03887 (177*2π)/12447 weeks
178.14068 .13338 (178*2π)/12447 weeks
179.07387 .12262 (179*2π)/12447 weeks
180.10329 .05076 (180*2π)/12447 weeks
181.16696 .13932 (181*2π)/12447 weeks
182.02609 .10719 (182*2π)/12447 weeks
183.1626 -.0082 (183*2π)/12447 weeks
184.23136 .19803 (184*2π)/12447 weeks
185-.03582 .28505 (185*2π)/12447 weeks
186-.15934 .04976 (186*2π)/12447 weeks
187.06317 -.11503 (187*2π)/12447 weeks
188.19638 .02265 (188*2π)/12447 weeks
189.23562 .06588 (189*2π)/12447 weeks
190.25401 .28489 (190*2π)/12447 weeks
191.01843 .33949 (191*2π)/12447 weeks
192-.18393 .09385 (192*2π)/12446 weeks
193.06702 -.14381 (193*2π)/12446 weeks
194.2536 .12028 (194*2π)/12446 weeks
195.00841 .3001 (195*2π)/12446 weeks
196-.10067 .0657 (196*2π)/12446 weeks
197.06419 -.00742 (197*2π)/12446 weeks
198.16036 .09023 (198*2π)/12446 weeks
199.02337 .1895 (199*2π)/12446 weeks
200-.04375 .11719 (200*2π)/12446 weeks
201.01962 .07435 (201*2π)/12446 weeks
202.05 .07746 (202*2π)/12446 weeks
203.07127 .19268 (203*2π)/12446 weeks
204-.13491 .20266 (204*2π)/12446 weeks
205-.17267 -.00801 (205*2π)/12446 weeks
206.05406 -.18197 (206*2π)/12446 weeks
207.29183 .05593 (207*2π)/12446 weeks
208.09739 .28462 (208*2π)/12446 weeks
209-.13936 .14914 (209*2π)/12446 weeks
210-.08615 -.05892 (210*2π)/12446 weeks
211.02376 -.01906 (211*2π)/12446 weeks
212.02938 -.03261 (212*2π)/12446 weeks
213.14654 -.06336 (213*2π)/12446 weeks
214.27711 .12027 (214*2π)/12446 weeks
215.00923 .25309 (215*2π)/12446 weeks
216-.13835 .03972 (216*2π)/12446 weeks
217.01436 -.0849 (217*2π)/12446 weeks
218.02158 -.02468 (218*2π)/12446 weeks
219.09821 -.14302 (219*2π)/12446 weeks
220.32676 -.00958 (220*2π)/12446 weeks
221.22034 .3992 (221*2π)/12446 weeks
222-.20116 .23756 (222*2π)/12446 weeks
223-.0669 -.04717 (223*2π)/12446 weeks
224.05722 .05862 (224*2π)/12446 weeks
225-.08791 .05423 (225*2π)/12446 weeks
226.06089 -.11756 (226*2π)/12446 weeks
227.25264 .12348 (227*2π)/12445 weeks
228-.03543 .24854 (228*2π)/12445 weeks
229-.04031 .01498 (229*2π)/12445 weeks
230.0966 .10604 (230*2π)/12445 weeks
231-.08684 .16467 (231*2π)/12445 weeks
232-.10031 -.13114 (232*2π)/12445 weeks
233.27177 -.03831 (233*2π)/12445 weeks
234.10481 .28256 (234*2π)/12445 weeks
235-.14066 .0736 (235*2π)/12445 weeks
236.08263 -.08145 (236*2π)/12445 weeks
237.12984 .10265 (237*2π)/12445 weeks
238-.06675 .06241 (238*2π)/12445 weeks
239.1089 -.15407 (239*2π)/12445 weeks
240.28604 .13867 (240*2π)/12445 weeks
241-.04687 .2714 (241*2π)/12445 weeks
242-.11324 -.04 (242*2π)/12445 weeks
243.10911 -.01974 (243*2π)/12445 weeks
244.01657 .09104 (244*2π)/12445 weeks
245-.02714 -.07188 (245*2π)/12445 weeks
246.19076 -.07524 (246*2π)/12445 weeks
247.17907 .19614 (247*2π)/12445 weeks
248-.07674 .15616 (248*2π)/12445 weeks
249-.01068 -.02149 (249*2π)/12445 weeks
250.1208 .00486 (250*2π)/12445 weeks
251.05847 .09175 (251*2π)/12445 weeks
252.03114 -.00014 (252*2π)/12445 weeks
253.12138 .05271 (253*2π)/12445 weeks
254.02072 .13979 (254*2π)/12445 weeks
255-.05673 -.03575 (255*2π)/12445 weeks
256.17608 -.04382 (256*2π)/12445 weeks
257.14243 .18963 (257*2π)/12445 weeks
258-.0705 .13584 (258*2π)/12445 weeks
259-.00095 -.04062 (259*2π)/12445 weeks
260.1554 .08757 (260*2π)/12445 weeks
261-.01731 .13958 (261*2π)/12445 weeks
262.03659 -.01617 (262*2π)/12445 weeks
263.1645 .00562 (263*2π)/12445 weeks
264.12341 .17938 (264*2π)/12445 weeks
265-.02639 .09198 (265*2π)/12445 weeks
266.09892 .0719 (266*2π)/12445 weeks
267.03914 .18099 (267*2π)/12445 weeks
268-.10447 .10954 (268*2π)/12445 weeks
269-.06127 -.11339 (269*2π)/12445 weeks
270.24527 -.05089 (270*2π)/12445 weeks
271.15309 .19013 (271*2π)/12445 weeks
272-.00077 .1759 (272*2π)/12445 weeks
273-.05702 .08365 (273*2π)/12445 weeks
274-.01106 .05953 (274*2π)/12445 weeks
275-.04607 .04061 (275*2π)/12445 weeks
276.04862 -.04606 (276*2π)/12445 weeks
277.13069 .07783 (277*2π)/12444 weeks
278.01448 .11207 (278*2π)/12444 weeks
279-.03674 .04042 (279*2π)/12444 weeks
280.02962 -.01495 (280*2π)/12444 weeks
281.06998 .02645 (281*2π)/12444 weeks
282.07552 -.00353 (282*2π)/12444 weeks
283.16536 .04213 (283*2π)/12444 weeks
284.13333 .20329 (284*2π)/12444 weeks
285-.10287 .20504 (285*2π)/12444 weeks
286-.09015 -.03689 (286*2π)/12444 weeks
287.10268 -.03516 (287*2π)/12444 weeks
288.09084 .14669 (288*2π)/12444 weeks
289-.00986 .09117 (289*2π)/12444 weeks
290.05612 .05312 (290*2π)/12444 weeks
291.0081 .12063 (291*2π)/12444 weeks
292-.11222 .04437 (292*2π)/12444 weeks
293-.0334 -.10682 (293*2π)/12444 weeks
294.14207 .01155 (294*2π)/12444 weeks
295.01177 .15451 (295*2π)/12444 weeks
296-.07711 .05613 (296*2π)/12444 weeks
297-.05384 .01408 (297*2π)/12444 weeks
298-.04083 -.02561 (298*2π)/12444 weeks
299-.01901 -.08454 (299*2π)/12444 weeks
300.12454 -.07433 (300*2π)/12444 weeks
301.11142 .10118 (301*2π)/12444 weeks
302-.02754 .05609 (302*2π)/12444 weeks
303-.0106 -.01923 (303*2π)/12444 weeks
304.02381 -.03999 (304*2π)/12444 weeks
305.03891 -.01935 (305*2π)/12444 weeks
306.09614 -.03954 (306*2π)/12444 weeks
307.13536 .03487 (307*2π)/12444 weeks
308.04989 .10307 (308*2π)/12444 weeks
309-.00982 -.01732 (309*2π)/12444 weeks
310.083 -.02432 (310*2π)/12444 weeks
311.05458 .02516 (311*2π)/12444 weeks
312.01709 -.05116 (312*2π)/12444 weeks
313.19817 -.09334 (313*2π)/12444 weeks
314.24184 .18744 (314*2π)/12444 weeks
315-.07073 .22813 (315*2π)/12444 weeks
316-.13595 -.01393 (316*2π)/12444 weeks
317.01025 -.11596 (317*2π)/12444 weeks
318.1679 -.01366 (318*2π)/12444 weeks
319.09686 .08108 (319*2π)/12444 weeks
320.06245 .09864 (320*2π)/12444 weeks
321.01363 .0746 (321*2π)/12444 weeks
322.02269 .06493 (322*2π)/12444 weeks
323-.00002 -.01259 (323*2π)/12444 weeks
324.08457 -.04956 (324*2π)/12444 weeks
325.1786 .02677 (325*2π)/12444 weeks
326.07266 .1085 (326*2π)/12444 weeks
327.07938 .00293 (327*2π)/12444 weeks
328.12545 .0726 (328*2π)/12444 weeks
329.02437 .10479 (329*2π)/12444 weeks
330.00896 -.06046 (330*2π)/12444 weeks
331.18821 -.03719 (331*2π)/12444 weeks
332.11641 .09101 (332*2π)/12444 weeks
333.03407 .06105 (333*2π)/12444 weeks
334.05167 .05146 (334*2π)/12444 weeks
335.01485 .08753 (335*2π)/12444 weeks
336-.0563 .04208 (336*2π)/12444 weeks
337.03543 -.08897 (337*2π)/12444 weeks
338.22426 .04607 (338*2π)/12444 weeks
339.08726 .18777 (339*2π)/12444 weeks
340-.06717 .07217 (340*2π)/12444 weeks
341.04174 -.04733 (341*2π)/12444 weeks
342.12233 .03229 (342*2π)/12444 weeks
343.04954 .02182 (343*2π)/12444 weeks
344.16473 -.00741 (344*2π)/12444 weeks
345.1665 .20988 (345*2π)/12444 weeks
346-.11637 .22741 (346*2π)/12444 weeks
347-.12607 -.13643 (347*2π)/12444 weeks
348.26624 -.13832 (348*2π)/12444 weeks
349.23712 .20458 (349*2π)/12444 weeks
350-.02872 .15736 (350*2π)/12444 weeks
351.02649 .04031 (351*2π)/12444 weeks
352.01794 .15335 (352*2π)/12444 weeks
353-.12931 .04726 (353*2π)/12444 weeks
354.0284 -.15898 (354*2π)/12444 weeks
355.23968 -.00061 (355*2π)/12444 weeks
356.06852 .16291 (356*2π)/12443 weeks
357.00305 .04291 (357*2π)/12443 weeks
358.0426 .07237 (358*2π)/12443 weeks
359-.03164 .06511 (359*2π)/12443 weeks
360-.03908 -.04233 (360*2π)/12443 weeks
361.10055 -.04549 (361*2π)/12443 weeks
362.10611 .06969 (362*2π)/12443 weeks
363.0934 .09308 (363*2π)/12443 weeks
364.04343 .17797 (364*2π)/12443 weeks
365-.09932 .11894 (365*2π)/12443 weeks
366-.09009 -.10466 (366*2π)/12443 weeks
367.13493 -.13178 (367*2π)/12443 weeks
368.19483 .07449 (368*2π)/12443 weeks
369.00832 .15174 (369*2π)/12443 weeks
370-.02982 .01356 (370*2π)/12443 weeks
371.0227 -.03078 (371*2π)/12443 weeks
372.05065 -.05728 (372*2π)/12443 weeks
373.14114 -.03482 (373*2π)/12443 weeks
374.13135 .0594 (374*2π)/12443 weeks
375.06602 .0983 (375*2π)/12443 weeks
376-.02381 .06043 (376*2π)/12443 weeks
377-.02461 -.01576 (377*2π)/12443 weeks
378.0579 -.11032 (378*2π)/12443 weeks
379.20938 -.0036 (379*2π)/12443 weeks
380.13192 .15528 (380*2π)/12443 weeks
381-.00889 .15423 (381*2π)/12443 weeks
382-.05386 .04094 (382*2π)/12443 weeks
383.02027 -.0225 (383*2π)/12443 weeks
384.04052 .01297 (384*2π)/12443 weeks
385.06077 .03982 (385*2π)/12443 weeks
386.01348 .07815 (386*2π)/12443 weeks
387-.01584 .017 (387*2π)/12443 weeks
388.03869 -.01108 (388*2π)/12443 weeks
389.05249 .06177 (389*2π)/12443 weeks
390-.02151 .02948 (390*2π)/12443 weeks
391.06207 -.0603 (391*2π)/12443 weeks
392.16116 .03823 (392*2π)/12443 weeks
393.05008 .12571 (393*2π)/12443 weeks
394.00997 .02507 (394*2π)/12443 weeks
395.05482 .01879 (395*2π)/12443 weeks
396.04314 .05542 (396*2π)/12443 weeks
397-.03733 .00044 (397*2π)/12443 weeks
398.07486 -.09545 (398*2π)/12443 weeks
399.15169 .01419 (399*2π)/12443 weeks
400.04908 .10925 (400*2π)/12443 weeks
401-.0388 .00034 (401*2π)/12443 weeks
402.04693 -.03808 (402*2π)/12443 weeks
403.07189 -.03272 (403*2π)/12443 weeks
404.10319 -.03687 (404*2π)/12443 weeks
405.14169 .04765 (405*2π)/12443 weeks
406-.0004 .12436 (406*2π)/12443 weeks
407-.05282 -.01604 (407*2π)/12443 weeks
408.05324 -.06603 (408*2π)/12443 weeks
409.10607 -.00759 (409*2π)/12443 weeks
410.0454 .0068 (410*2π)/12443 weeks
411.11323 -.04925 (411*2π)/12443 weeks
412.13135 .09094 (412*2π)/12443 weeks
413.01684 .08576 (413*2π)/12443 weeks
414.01263 -.00638 (414*2π)/12443 weeks
415.05891 .00395 (415*2π)/12443 weeks
416.02613 .01211 (416*2π)/12443 weeks
417.0492 -.0471 (417*2π)/12443 weeks
418.14871 .03114 (418*2π)/12443 weeks
419.07138 .12947 (419*2π)/12443 weeks
420-.06111 .0848 (420*2π)/12443 weeks
421-.02924 -.06519 (421*2π)/12443 weeks
422.08689 -.06331 (422*2π)/12443 weeks
423.11177 .05675 (423*2π)/12443 weeks
424.07215 .10189 (424*2π)/12443 weeks
425-.03295 .13922 (425*2π)/12443 weeks
426-.06977 .01 (426*2π)/12443 weeks
427-.0181 -.04623 (427*2π)/12443 weeks
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