Back to list of Stocks    See Also: Seasonal Analysis of AMZGenetic Algorithms Stock Portfolio Generator, and Fourier Calculator

Fourier Analysis of AMZ (ALERIAN MLP INDEX)


AMZ (ALERIAN MLP INDEX) appears to have interesting cyclic behaviour every 68 weeks (18.4487*sine), 63 weeks (15.492*sine), and 88 weeks (15.0517*sine).

AMZ (ALERIAN MLP INDEX) has an average price of 131.56 (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 10/31/2016 for AMZ (ALERIAN MLP INDEX), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
0131.5599   0 
1104.5469 -109.4528 (1*2π)/879879 weeks
241.90962 -76.21762 (2*2π)/879440 weeks
336.65674 -60.9373 (3*2π)/879293 weeks
427.23133 -55.58797 (4*2π)/879220 weeks
517.49469 -42.29739 (5*2π)/879176 weeks
69.15661 -44.67789 (6*2π)/879147 weeks
7-.83134 -33.45705 (7*2π)/879126 weeks
8-2.02024 -29.73797 (8*2π)/879110 weeks
9-.93534 -16.89766 (9*2π)/87998 weeks
10-1.63235 -15.05165 (10*2π)/87988 weeks
113.6253 -12.68474 (11*2π)/87980 weeks
126.42166 -14.11784 (12*2π)/87973 weeks
135.2805 -18.44867 (13*2π)/87968 weeks
141.95805 -15.49197 (14*2π)/87963 weeks
152.16832 -13.10335 (15*2π)/87959 weeks
162.7973 -12.41165 (16*2π)/87955 weeks
174.1746 -15.16095 (17*2π)/87952 weeks
182.50264 -14.73747 (18*2π)/87949 weeks
19.35482 -14.02745 (19*2π)/87946 weeks
201.95383 -14.4331 (20*2π)/87944 weeks
21-3.04419 -14.77645 (21*2π)/87942 weeks
22-.06342 -10.14659 (22*2π)/87940 weeks
23.89817 -12.39618 (23*2π)/87938 weeks
24-2.28241 -11.9901 (24*2π)/87937 weeks
25-5.0372 -10.81675 (25*2π)/87935 weeks
26-5.46112 -7.60541 (26*2π)/87934 weeks
27-4.82367 -5.98108 (27*2π)/87933 weeks
28-4.27674 -2.78921 (28*2π)/87931 weeks
29-1.44337 -4.00179 (29*2π)/87930 weeks
30-.84719 -3.57525 (30*2π)/87929 weeks
31.62861 -4.79486 (31*2π)/87928 weeks
32-.7647 -5.19174 (32*2π)/87927 weeks
33-.6924 -4.5699 (33*2π)/87927 weeks
341.32305 -4.93011 (34*2π)/87926 weeks
35.96076 -4.54044 (35*2π)/87925 weeks
362.34709 -5.45654 (36*2π)/87924 weeks
371.96189 -6.60326 (37*2π)/87924 weeks
38.03253 -6.62339 (38*2π)/87923 weeks
391.18207 -6.25846 (39*2π)/87923 weeks
401.05114 -7.3401 (40*2π)/87922 weeks
41.76282 -8.35312 (41*2π)/87921 weeks
42-1.52173 -8.6069 (42*2π)/87921 weeks
43-2.09005 -6.35152 (43*2π)/87920 weeks
44-2.17244 -7.0132 (44*2π)/87920 weeks
45-3.11425 -5.23904 (45*2π)/87920 weeks
46-1.91683 -4.60117 (46*2π)/87919 weeks
47-2.94648 -4.19864 (47*2π)/87919 weeks
48-2.18911 -2.67588 (48*2π)/87918 weeks
49-.5491 -2.27877 (49*2π)/87918 weeks
50-.3176 -3.29473 (50*2π)/87918 weeks
51-.0371 -2.35494 (51*2π)/87917 weeks
52.49002 -3.92871 (52*2π)/87917 weeks
53.36583 -4.05822 (53*2π)/87917 weeks
54-.39958 -4.71168 (54*2π)/87916 weeks
55-.54381 -3.1368 (55*2π)/87916 weeks
56-.00733 -4.56449 (56*2π)/87916 weeks
57.20792 -4.83587 (57*2π)/87915 weeks
58-1.60684 -5.06829 (58*2π)/87915 weeks
59-1.88699 -4.128 (59*2π)/87915 weeks
60-1.31856 -3.81473 (60*2π)/87915 weeks
61-2.001 -4.20431 (61*2π)/87914 weeks
62-2.13714 -3.04549 (62*2π)/87914 weeks
63-1.24947 -2.72808 (63*2π)/87914 weeks
64-1.08249 -2.66764 (64*2π)/87914 weeks
65-1.16637 -2.32012 (65*2π)/87914 weeks
66-.41553 -2.58947 (66*2π)/87913 weeks
67-.54961 -3.37103 (67*2π)/87913 weeks
68-.38952 -2.95674 (68*2π)/87913 weeks
69-.28582 -3.32528 (69*2π)/87913 weeks
70-.10317 -4.43015 (70*2π)/87913 weeks
71-1.05537 -4.67939 (71*2π)/87912 weeks
72-1.79237 -3.98253 (72*2π)/87912 weeks
73-2.28407 -3.40908 (73*2π)/87912 weeks
74-1.9653 -3.04143 (74*2π)/87912 weeks
75-1.78554 -2.01314 (75*2π)/87912 weeks
76.19823 -1.45424 (76*2π)/87912 weeks
77.00207 -2.79355 (77*2π)/87911 weeks
78.337 -3.3486 (78*2π)/87911 weeks
79-.01561 -3.51613 (79*2π)/87911 weeks
80-.9458 -3.91062 (80*2π)/87911 weeks
81-1.74928 -2.91594 (81*2π)/87911 weeks
82-1.25171 -3.23656 (82*2π)/87911 weeks
83-1.74672 -3.23106 (83*2π)/87911 weeks
84-2.19657 -2.34814 (84*2π)/87910 weeks
85-1.5581 -2.09534 (85*2π)/87910 weeks
86-1.39228 -2.60109 (86*2π)/87910 weeks
87-1.66422 -2.72535 (87*2π)/87910 weeks
88-1.80089 -2.10177 (88*2π)/87910 weeks
89-1.55956 -2.52089 (89*2π)/87910 weeks
90-2.21856 -2.30387 (90*2π)/87910 weeks
91-1.76557 -1.65444 (91*2π)/87910 weeks
92-1.68306 -1.67025 (92*2π)/87910 weeks
93-1.71697 -1.80672 (93*2π)/8799 weeks
94-.99129 -.92382 (94*2π)/8799 weeks
95-.91328 -1.50577 (95*2π)/8799 weeks
96-.93709 -1.78237 (96*2π)/8799 weeks
97-1.07796 -1.35987 (97*2π)/8799 weeks
98-.66842 -1.41958 (98*2π)/8799 weeks
99-1.14338 -1.47855 (99*2π)/8799 weeks
100-.57289 -.53923 (100*2π)/8799 weeks
101.05045 -.86595 (101*2π)/8799 weeks
102.22627 -1.78707 (102*2π)/8799 weeks
103-.61131 -2.27716 (103*2π)/8799 weeks
104-.82939 -1.76722 (104*2π)/8798 weeks
105-.81883 -1.97506 (105*2π)/8798 weeks
106-.71251 -1.92348 (106*2π)/8798 weeks
107-.92602 -2.01943 (107*2π)/8798 weeks
108-1.15243 -2.49827 (108*2π)/8798 weeks
109-1.81472 -2.33234 (109*2π)/8798 weeks
110-2.17032 -1.61751 (110*2π)/8798 weeks
111-1.61092 -1.10075 (111*2π)/8798 weeks
112-1.42531 -1.15509 (112*2π)/8798 weeks
113-1.4405 -1.11996 (113*2π)/8798 weeks
114-1.22437 -1.19316 (114*2π)/8798 weeks
115-.92651 -.8594 (115*2π)/8798 weeks
116-.61648 -1.22019 (116*2π)/8798 weeks
117-.63555 -.9822 (117*2π)/8798 weeks
118-.16761 -1.47432 (118*2π)/8797 weeks
119-.60528 -1.72332 (119*2π)/8797 weeks
120-.10848 -2.28994 (120*2π)/8797 weeks
121-.68193 -2.60889 (121*2π)/8797 weeks
122-1.36457 -1.94797 (122*2π)/8797 weeks
123-.93234 -1.73905 (123*2π)/8797 weeks
124-1.26619 -2.24833 (124*2π)/8797 weeks
125-1.81252 -1.51384 (125*2π)/8797 weeks
126-1.31677 -.78346 (126*2π)/8797 weeks
127-.84776 -1.2618 (127*2π)/8797 weeks
128-1.29091 -1.24984 (128*2π)/8797 weeks
129-.97662 -1.03508 (129*2π)/8797 weeks
130-.62383 -.92628 (130*2π)/8797 weeks
131-.62175 -1.16889 (131*2π)/8797 weeks
132-.40808 -1.33243 (132*2π)/8797 weeks
133-.90354 -1.8208 (133*2π)/8797 weeks
134-.93787 -1.54727 (134*2π)/8797 weeks
135-1.51125 -1.50471 (135*2π)/8797 weeks
136-1.50332 -.92449 (136*2π)/8796 weeks
137-1.13489 -1.15168 (137*2π)/8796 weeks
138-.80311 -1.07927 (138*2π)/8796 weeks
139-1.12907 -1.39256 (139*2π)/8796 weeks
140-1.2485 -1.00133 (140*2π)/8796 weeks
141-.71993 -.86156 (141*2π)/8796 weeks
142-.68676 -.92151 (142*2π)/8796 weeks
143-.25868 -.45391 (143*2π)/8796 weeks
144.0628 -.88856 (144*2π)/8796 weeks
145.31015 -1.54798 (145*2π)/8796 weeks
146-.23775 -1.58269 (146*2π)/8796 weeks
147-.46516 -1.98558 (147*2π)/8796 weeks
148-1.34442 -1.44133 (148*2π)/8796 weeks
149-.98812 -.8541 (149*2π)/8796 weeks
150-.42745 -.76884 (150*2π)/8796 weeks
151-.43031 -1.32095 (151*2π)/8796 weeks
152-.39186 -1.1937 (152*2π)/8796 weeks
153-.16368 -1.50136 (153*2π)/8796 weeks
154-.52206 -1.9563 (154*2π)/8796 weeks
155-1.09138 -1.64843 (155*2π)/8796 weeks
156-.922 -1.56946 (156*2π)/8796 weeks
157-1.20993 -1.35944 (157*2π)/8796 weeks
158-1.1853 -.67039 (158*2π)/8796 weeks
159-.49959 -.63194 (159*2π)/8796 weeks
160-.54849 -1.26082 (160*2π)/8795 weeks
161-.73015 -.89998 (161*2π)/8795 weeks
162-.66641 -.9726 (162*2π)/8795 weeks
163-.72064 -.82061 (163*2π)/8795 weeks
164-.52755 -.65806 (164*2π)/8795 weeks
165-.6428 -.80964 (165*2π)/8795 weeks
166-.68552 -.95435 (166*2π)/8795 weeks
167-.65005 -.5034 (167*2π)/8795 weeks
168-.60473 -.69166 (168*2π)/8795 weeks
169-.83473 -.28896 (169*2π)/8795 weeks
170-.20002 -.33851 (170*2π)/8795 weeks
171-.2072 -.36211 (171*2π)/8795 weeks
172.11187 -.89637 (172*2π)/8795 weeks
173-.43613 -1.33838 (173*2π)/8795 weeks
174-.76133 -1.385 (174*2π)/8795 weeks
175-.81072 -1.17314 (175*2π)/8795 weeks
176-.83771 -1.26245 (176*2π)/8795 weeks
177-1.1484 -1.17145 (177*2π)/8795 weeks
178-.93551 -1.01345 (178*2π)/8795 weeks
179-.74446 -1.2934 (179*2π)/8795 weeks
180-1.11843 -1.22433 (180*2π)/8795 weeks
181-1.16959 -.78101 (181*2π)/8795 weeks
182-.81672 -.81255 (182*2π)/8795 weeks
183-1.03049 -1.17803 (183*2π)/8795 weeks
184-1.14808 -.7139 (184*2π)/8795 weeks
185-.9859 -.58584 (185*2π)/8795 weeks
186-.90089 -.52933 (186*2π)/8795 weeks
187-.78393 -.62737 (187*2π)/8795 weeks
188-.8086 -.04313 (188*2π)/8795 weeks
189.00298 -.35541 (189*2π)/8795 weeks
190-.37635 -.53563 (190*2π)/8795 weeks
191-.20569 -.45391 (191*2π)/8795 weeks
192.04835 -.61463 (192*2π)/8795 weeks
193.17625 -.95241 (193*2π)/8795 weeks
194.08951 -1.22764 (194*2π)/8795 weeks
195-.24236 -1.21982 (195*2π)/8795 weeks
196-.2045 -1.2193 (196*2π)/8794 weeks
197-.42124 -1.47549 (197*2π)/8794 weeks
198-.4352 -1.67696 (198*2π)/8794 weeks
199-.75475 -1.62757 (199*2π)/8794 weeks
200-1.22519 -1.63844 (200*2π)/8794 weeks
201-1.33465 -.99074 (201*2π)/8794 weeks
202-1.44132 -1.15636 (202*2π)/8794 weeks
203-1.41677 -.66661 (203*2π)/8794 weeks
204-1.16959 -.26274 (204*2π)/8794 weeks
205-.73013 -.33846 (205*2π)/8794 weeks
206-.8408 -.47588 (206*2π)/8794 weeks
207-.77769 -.22845 (207*2π)/8794 weeks
208-.43088 -.12985 (208*2π)/8794 weeks
209-.22546 -.51018 (209*2π)/8794 weeks
210-.31434 -.57483 (210*2π)/8794 weeks
211-.23863 -.94771 (211*2π)/8794 weeks
212-.55704 -.88955 (212*2π)/8794 weeks
213-.76346 -.89921 (213*2π)/8794 weeks
214-.97335 -.51459 (214*2π)/8794 weeks
215-.50726 -.39585 (215*2π)/8794 weeks
216-.47342 -.6876 (216*2π)/8794 weeks
217-.4787 -.94768 (217*2π)/8794 weeks
218-.58881 -1.11468 (218*2π)/8794 weeks
219-.7118 -1.21585 (219*2π)/8794 weeks
220-1.09078 -1.03936 (220*2π)/8794 weeks
221-1.04741 -.95231 (221*2π)/8794 weeks
222-1.1742 -.72581 (222*2π)/8794 weeks
223-.93566 -.73372 (223*2π)/8794 weeks
224-1.31076 -.77516 (224*2π)/8794 weeks
225-1.29536 -.23808 (225*2π)/8794 weeks
226-.76285 -.25557 (226*2π)/8794 weeks
227-1.01589 -.36305 (227*2π)/8794 weeks
228-.89472 .06056 (228*2π)/8794 weeks
229-.56058 .10789 (229*2π)/8794 weeks
230-.49409 .09428 (230*2π)/8794 weeks
231-.33075 .01069 (231*2π)/8794 weeks
232-.26521 -.45377 (232*2π)/8794 weeks
233-.3553 -.44887 (233*2π)/8794 weeks
234-.54575 -.50241 (234*2π)/8794 weeks
235-.54097 -.5228 (235*2π)/8794 weeks
236-.71724 -.65616 (236*2π)/8794 weeks
237-.4467 -.3228 (237*2π)/8794 weeks
238-.51979 -.46866 (238*2π)/8794 weeks
239-.56175 -.69935 (239*2π)/8794 weeks
240-.67429 -.82518 (240*2π)/8794 weeks
241-.78004 -.56731 (241*2π)/8794 weeks
242-.70627 -.48301 (242*2π)/8794 weeks
243-.61834 -.46682 (243*2π)/8794 weeks
244-.95536 -.67023 (244*2π)/8794 weeks
245-.61732 -.349 (245*2π)/8794 weeks
246-.66304 -.58354 (246*2π)/8794 weeks
247-.76311 -.42109 (247*2π)/8794 weeks
248-.72521 -.22301 (248*2π)/8794 weeks
249-.62584 -.47161 (249*2π)/8794 weeks
250-.69706 -.5441 (250*2π)/8794 weeks
251-.66184 -.13896 (251*2π)/8794 weeks
252-.42392 -.2475 (252*2π)/8793 weeks
253-.54561 -.70396 (253*2π)/8793 weeks
254-.81617 -.41027 (254*2π)/8793 weeks
255-.49486 -.24979 (255*2π)/8793 weeks
256-.37996 -.5156 (256*2π)/8793 weeks
257-.82223 -.61122 (257*2π)/8793 weeks
258-.79646 -.49322 (258*2π)/8793 weeks
259-.84131 -.52441 (259*2π)/8793 weeks
260-.8187 -.49167 (260*2π)/8793 weeks
261-.99213 -.50541 (261*2π)/8793 weeks
262-.90894 -.32377 (262*2π)/8793 weeks
263-.64749 -.41649 (263*2π)/8793 weeks
264-.77614 -.44197 (264*2π)/8793 weeks
265-.84659 -.29565 (265*2π)/8793 weeks
266-.81206 -.25878 (266*2π)/8793 weeks
267-.75938 -.49447 (267*2π)/8793 weeks
268-.79659 -.12418 (268*2π)/8793 weeks
269-.62216 -.1204 (269*2π)/8793 weeks
270-.32279 -.23717 (270*2π)/8793 weeks
271-.54423 -.3847 (271*2π)/8793 weeks
272-.26834 -.3642 (272*2π)/8793 weeks
273-.46395 -.56749 (273*2π)/8793 weeks
274-.45054 -.47396 (274*2π)/8793 weeks
275-.44877 -.60298 (275*2π)/8793 weeks
276-.5934 -.57988 (276*2π)/8793 weeks
277-.57157 -.48483 (277*2π)/8793 weeks
278-.72926 -.69629 (278*2π)/8793 weeks
279-.65564 -.4504 (279*2π)/8793 weeks
280-.63327 -.47735 (280*2π)/8793 weeks
281-.65512 -.37023 (281*2π)/8793 weeks
282-.54227 -.40504 (282*2π)/8793 weeks
283-.6241 -.73656 (283*2π)/8793 weeks
284-.77132 -.55679 (284*2π)/8793 weeks
285-.67203 -.70662 (285*2π)/8793 weeks
286-.96509 -.76573 (286*2π)/8793 weeks
287-.98561 -.41566 (287*2π)/8793 weeks
288-.96414 -.27435 (288*2π)/8793 weeks
289-.94899 -.09635 (289*2π)/8793 weeks
290-.74144 -.17289 (290*2π)/8793 weeks
291-.99875 .0059 (291*2π)/8793 weeks
292-.63647 .22442 (292*2π)/8793 weeks
293-.43182 -.12688 (293*2π)/8793 weeks
294-.38969 -.2711 (294*2π)/8793 weeks
295-.57384 -.26003 (295*2π)/8793 weeks
296-.64176 -.2225 (296*2π)/8793 weeks
297-.22207 -.24541 (297*2π)/8793 weeks
298-.38313 -.61292 (298*2π)/8793 weeks
299-.57483 -.85214 (299*2π)/8793 weeks
300-.81061 -.78874 (300*2π)/8793 weeks
301-.85384 -.59016 (301*2π)/8793 weeks
302-.81108 -.59925 (302*2π)/8793 weeks
303-.82606 -.61398 (303*2π)/8793 weeks
304-1.11129 -.64907 (304*2π)/8793 weeks
305-1.10646 -.19541 (305*2π)/8793 weeks
306-.75788 -.44898 (306*2π)/8793 weeks
307-1.15149 -.42137 (307*2π)/8793 weeks
308-.91907 -.23182 (308*2π)/8793 weeks
309-.96092 -.31776 (309*2π)/8793 weeks
310-1.11878 -.04179 (310*2π)/8793 weeks
311-.8785 -.11663 (311*2π)/8793 weeks
312-.74626 -.09697 (312*2π)/8793 weeks
313-.85023 -.06348 (313*2π)/8793 weeks
314-.75144 -.08927 (314*2π)/8793 weeks
315-.67557 .01806 (315*2π)/8793 weeks
316-.45837 -.25029 (316*2π)/8793 weeks
317-.51661 -.39615 (317*2π)/8793 weeks
318-.54078 -.21273 (318*2π)/8793 weeks
319-.47319 -.28136 (319*2π)/8793 weeks
320-.40993 -.45051 (320*2π)/8793 weeks
321-.49154 -.4791 (321*2π)/8793 weeks
322-.63747 -.29662 (322*2π)/8793 weeks
323-.53738 -.32727 (323*2π)/8793 weeks
324-.68357 -.37933 (324*2π)/8793 weeks
325-.59948 -.52333 (325*2π)/8793 weeks
326-.78607 -.41407 (326*2π)/8793 weeks
327-.59307 -.32842 (327*2π)/8793 weeks
328-.82482 -.37516 (328*2π)/8793 weeks
329-.84441 -.25954 (329*2π)/8793 weeks
330-.84989 -.0399 (330*2π)/8793 weeks
331-.71212 -.01325 (331*2π)/8793 weeks
332-.70403 -.01746 (332*2π)/8793 weeks
333-.54733 -.01639 (333*2π)/8793 weeks
334-.55155 -.1053 (334*2π)/8793 weeks
335-.44779 -.12412 (335*2π)/8793 weeks
336-.55182 -.15705 (336*2π)/8793 weeks
337-.09595 -.10232 (337*2π)/8793 weeks
338-.3505 -.68882 (338*2π)/8793 weeks
339-.52691 -.6055 (339*2π)/8793 weeks
340-.66091 -.85168 (340*2π)/8793 weeks
341-.9019 -.66686 (341*2π)/8793 weeks
342-.96046 -.37912 (342*2π)/8793 weeks
343-.65333 -.21805 (343*2π)/8793 weeks
344-.73894 -.29416 (344*2π)/8793 weeks
345-.64584 -.21223 (345*2π)/8793 weeks
346-.77541 -.1029 (346*2π)/8793 weeks
347-.50316 .05775 (347*2π)/8793 weeks
348-.37762 -.27582 (348*2π)/8793 weeks
349-.36135 -.27067 (349*2π)/8793 weeks
350-.46465 -.59185 (350*2π)/8793 weeks
351-.73695 -.53381 (351*2π)/8793 weeks
352-.80976 -.38361 (352*2π)/8792 weeks
353-.77611 -.26825 (353*2π)/8792 weeks
354-.77892 -.27831 (354*2π)/8792 weeks
355-.78541 -.1898 (355*2π)/8792 weeks
356-.62414 -.25339 (356*2π)/8792 weeks
357-.68476 -.3818 (357*2π)/8792 weeks
358-.83178 -.53885 (358*2π)/8792 weeks
359-.88629 -.20547 (359*2π)/8792 weeks
360-.78254 -.29196 (360*2π)/8792 weeks
361-.89407 -.26966 (361*2π)/8792 weeks
362-.85343 -.21866 (362*2π)/8792 weeks
363-.88306 -.36537 (363*2π)/8792 weeks
364-1.00157 -.30457 (364*2π)/8792 weeks
365-.95577 .0057 (365*2π)/8792 weeks
366-.87449 -.16151 (366*2π)/8792 weeks
367-.75014 .05453 (367*2π)/8792 weeks
368-.58825 -.11663 (368*2π)/8792 weeks
369-.69321 -.21136 (369*2π)/8792 weeks
370-.73739 -.14556 (370*2π)/8792 weeks
371-.69439 -.21261 (371*2π)/8792 weeks
372-.65268 -.29112 (372*2π)/8792 weeks
373-.6672 -.25624 (373*2π)/8792 weeks
374-.97006 -.187 (374*2π)/8792 weeks
375-.83068 .093 (375*2π)/8792 weeks
376-.4586 -.0884 (376*2π)/8792 weeks
377-.5601 -.0158 (377*2π)/8792 weeks
378-.3803 -.14759 (378*2π)/8792 weeks
379-.45354 -.30804 (379*2π)/8792 weeks
380-.59677 -.35366 (380*2π)/8792 weeks
381-.53664 -.28709 (381*2π)/8792 weeks
382-.41803 -.47483 (382*2π)/8792 weeks
383-.83735 -.64852 (383*2π)/8792 weeks
384-1.07425 -.28253 (384*2π)/8792 weeks
385-.91545 .00808 (385*2π)/8792 weeks
386-.71766 -.12958 (386*2π)/8792 weeks
387-.99521 -.17649 (387*2π)/8792 weeks
388-.84502 .2155 (388*2π)/8792 weeks
389-.48116 .16989 (389*2π)/8792 weeks
390-.42217 -.13002 (390*2π)/8792 weeks
391-.54436 -.11413 (391*2π)/8792 weeks
392-.61761 -.33215 (392*2π)/8792 weeks
393-.71268 -.22082 (393*2π)/8792 weeks
394-.68773 -.23522 (394*2π)/8792 weeks
395-.72581 -.32639 (395*2π)/8792 weeks
396-1.08709 -.24469 (396*2π)/8792 weeks
397-.93989 .0239 (397*2π)/8792 weeks
398-.8131 .14572 (398*2π)/8792 weeks
399-.53321 .12054 (399*2π)/8792 weeks
400-.75153 .04484 (400*2π)/8792 weeks
401-.59001 -.0365 (401*2π)/8792 weeks
402-.49037 -.1162 (402*2π)/8792 weeks
403-.60574 -.12893 (403*2π)/8792 weeks
404-.70609 -.14348 (404*2π)/8792 weeks
405-.64724 -.19783 (405*2π)/8792 weeks
406-.57551 -.03754 (406*2π)/8792 weeks
407-.47713 -.17519 (407*2π)/8792 weeks
408-.72962 -.2468 (408*2π)/8792 weeks
409-.58829 .00788 (409*2π)/8792 weeks
410-.524 -.08868 (410*2π)/8792 weeks
411-.46895 -.02431 (411*2π)/8792 weeks
412-.53835 -.07956 (412*2π)/8792 weeks
413-.30839 -.10335 (413*2π)/8792 weeks
414-.37268 -.18215 (414*2π)/8792 weeks
415-.34067 -.43203 (415*2π)/8792 weeks
416-.81484 -.47919 (416*2π)/8792 weeks
417-1.04338 -.27283 (417*2π)/8792 weeks
418-.89307 -.00292 (418*2π)/8792 weeks
419-.86305 .01647 (419*2π)/8792 weeks
420-.9856 .04332 (420*2π)/8792 weeks
421-1.04655 .2858 (421*2π)/8792 weeks
422-.73322 .22471 (422*2π)/8792 weeks
423-.62874 .11795 (423*2π)/8792 weeks
424-.75286 -.20919 (424*2π)/8792 weeks
425-1.06925 -.05391 (425*2π)/8792 weeks
426-.90792 .13655 (426*2π)/8792 weeks
427-1.06345 .20548 (427*2π)/8792 weeks
428-.88809 .38573 (428*2π)/8792 weeks
429-.61982 .63706 (429*2π)/8792 weeks
430-.31065 .16949 (430*2π)/8792 weeks
431-.65075 .17942 (431*2π)/8792 weeks
432-.43739 .28152 (432*2π)/8792 weeks
433-.17706 .06312 (433*2π)/8792 weeks
434-.35085 -.04526 (434*2π)/8792 weeks
435-.50742 -.37082 (435*2π)/8792 weeks
436-.72077 -.45072 (436*2π)/8792 weeks
437-.89438 -.19274 (437*2π)/8792 weeks
438-.87956 -.14576 (438*2π)/8792 weeks
439-1.04879 -.11338 (439*2π)/8792 weeks
440-1.04879 .11338 (440*2π)/8792 weeks
441-.87956 .14576 (441*2π)/8792 weeks
442-.89438 .19274 (442*2π)/8792 weeks
443-.72077 .45072 (443*2π)/8792 weeks
444-.50742 .37082 (444*2π)/8792 weeks
445-.35085 .04526 (445*2π)/8792 weeks
446-.17706 -.06312 (446*2π)/8792 weeks
447-.43739 -.28152 (447*2π)/8792 weeks
448-.65075 -.17942 (448*2π)/8792 weeks
449-.31065 -.16949 (449*2π)/8792 weeks
450-.61982 -.63706 (450*2π)/8792 weeks
451-.88809 -.38573 (451*2π)/8792 weeks
452-1.06345 -.20548 (452*2π)/8792 weeks
453-.90792 -.13655 (453*2π)/8792 weeks
454-1.06925 .05391 (454*2π)/8792 weeks
455-.75286 .20919 (455*2π)/8792 weeks
456-.62874 -.11795 (456*2π)/8792 weeks
457-.73322 -.22471 (457*2π)/8792 weeks
458-1.04655 -.2858 (458*2π)/8792 weeks
459-.9856 -.04332 (459*2π)/8792 weeks
460-.86305 -.01647 (460*2π)/8792 weeks
461-.89307 .00292 (461*2π)/8792 weeks
462-1.04338 .27283 (462*2π)/8792 weeks
463-.81484 .47919 (463*2π)/8792 weeks
464-.34067 .43203 (464*2π)/8792 weeks
465-.37268 .18215 (465*2π)/8792 weeks
466-.30839 .10335 (466*2π)/8792 weeks
467-.53835 .07956 (467*2π)/8792 weeks
468-.46895 .02431 (468*2π)/8792 weeks
469-.524 .08868 (469*2π)/8792 weeks
470-.58829 -.00788 (470*2π)/8792 weeks
471-.72962 .2468 (471*2π)/8792 weeks
472-.47713 .17519 (472*2π)/8792 weeks
473-.57551 .03754 (473*2π)/8792 weeks
474-.64724 .19783 (474*2π)/8792 weeks
475-.70609 .14348 (475*2π)/8792 weeks
476-.60574 .12893 (476*2π)/8792 weeks
477-.49037 .1162 (477*2π)/8792 weeks
478-.59001 .0365 (478*2π)/8792 weeks
479-.75153 -.04484 (479*2π)/8792 weeks
480-.53321 -.12054 (480*2π)/8792 weeks
481-.8131 -.14572 (481*2π)/8792 weeks
482-.93989 -.0239 (482*2π)/8792 weeks
483-1.08709 .24469 (483*2π)/8792 weeks
484-.72581 .32639 (484*2π)/8792 weeks
485-.68773 .23522 (485*2π)/8792 weeks
486-.71268 .22082 (486*2π)/8792 weeks
487-.61761 .33215 (487*2π)/8792 weeks
488-.54436 .11413 (488*2π)/8792 weeks
489-.42217 .13002 (489*2π)/8792 weeks
490-.48116 -.16989 (490*2π)/8792 weeks
491-.84502 -.2155 (491*2π)/8792 weeks
492-.99521 .17649 (492*2π)/8792 weeks
493-.71766 .12958 (493*2π)/8792 weeks
494-.91545 -.00808 (494*2π)/8792 weeks
495-1.07425 .28253 (495*2π)/8792 weeks
496-.83735 .64852 (496*2π)/8792 weeks
497-.41803 .47483 (497*2π)/8792 weeks
498-.53664 .28709 (498*2π)/8792 weeks
499-.59677 .35366 (499*2π)/8792 weeks
500-.45354 .30804 (500*2π)/8792 weeks
501-.3803 .14759 (501*2π)/8792 weeks
502-.5601 .0158 (502*2π)/8792 weeks
503-.4586 .0884 (503*2π)/8792 weeks
504-.83068 -.093 (504*2π)/8792 weeks
505-.97006 .187 (505*2π)/8792 weeks
506-.6672 .25624 (506*2π)/8792 weeks
507-.65268 .29112 (507*2π)/8792 weeks
508-.69439 .21261 (508*2π)/8792 weeks
509-.73739 .14556 (509*2π)/8792 weeks
510-.69321 .21136 (510*2π)/8792 weeks
511-.58825 .11663 (511*2π)/8792 weeks
512-.75014 -.05453 (512*2π)/8792 weeks
513-.87449 .16151 (513*2π)/8792 weeks
514-.95577 -.0057 (514*2π)/8792 weeks
515-1.00157 .30457 (515*2π)/8792 weeks
516-.88306 .36537 (516*2π)/8792 weeks
517-.85343 .21866 (517*2π)/8792 weeks
518-.89407 .26966 (518*2π)/8792 weeks
519-.78254 .29196 (519*2π)/8792 weeks
520-.88629 .20547 (520*2π)/8792 weeks
521-.83178 .53885 (521*2π)/8792 weeks
522-.68476 .3818 (522*2π)/8792 weeks
523-.62414 .25339 (523*2π)/8792 weeks
524-.78541 .1898 (524*2π)/8792 weeks
525-.77892 .27831 (525*2π)/8792 weeks
526-.77611 .26825 (526*2π)/8792 weeks
527-.80976 .38361 (527*2π)/8792 weeks
528-.73695 .53381 (528*2π)/8792 weeks
529-.46465 .59185 (529*2π)/8792 weeks
530-.36135 .27067 (530*2π)/8792 weeks
531-.37762 .27582 (531*2π)/8792 weeks
532-.50316 -.05775 (532*2π)/8792 weeks
533-.77541 .1029 (533*2π)/8792 weeks
534-.64584 .21223 (534*2π)/8792 weeks
535-.73894 .29416 (535*2π)/8792 weeks
536-.65333 .21805 (536*2π)/8792 weeks
537-.96046 .37912 (537*2π)/8792 weeks
538-.9019 .66686 (538*2π)/8792 weeks
539-.66091 .85168 (539*2π)/8792 weeks
540-.52691 .6055 (540*2π)/8792 weeks
541-.3505 .68882 (541*2π)/8792 weeks
542-.09595 .10232 (542*2π)/8792 weeks
543-.55182 .15705 (543*2π)/8792 weeks
544-.44779 .12412 (544*2π)/8792 weeks
545-.55155 .1053 (545*2π)/8792 weeks
546-.54733 .01639 (546*2π)/8792 weeks
547-.70403 .01746 (547*2π)/8792 weeks
548-.71212 .01325 (548*2π)/8792 weeks
549-.84989 .0399 (549*2π)/8792 weeks
550-.84441 .25954 (550*2π)/8792 weeks
551-.82482 .37516 (551*2π)/8792 weeks
552-.59307 .32842 (552*2π)/8792 weeks
553-.78607 .41407 (553*2π)/8792 weeks
554-.59948 .52333 (554*2π)/8792 weeks
555-.68357 .37933 (555*2π)/8792 weeks
556-.53738 .32727 (556*2π)/8792 weeks
557-.63747 .29662 (557*2π)/8792 weeks
558-.49154 .4791 (558*2π)/8792 weeks
559-.40993 .45051 (559*2π)/8792 weeks
560-.47319 .28136 (560*2π)/8792 weeks
561-.54078 .21273 (561*2π)/8792 weeks
562-.51661 .39615 (562*2π)/8792 weeks
563-.45837 .25029 (563*2π)/8792 weeks
564-.67557 -.01806 (564*2π)/8792 weeks
565-.75144 .08927 (565*2π)/8792 weeks
566-.85023 .06348 (566*2π)/8792 weeks
567-.74626 .09697 (567*2π)/8792 weeks
568-.8785 .11663 (568*2π)/8792 weeks
569-1.11878 .04179 (569*2π)/8792 weeks
570-.96092 .31776 (570*2π)/8792 weeks
571-.91907 .23182 (571*2π)/8792 weeks
572-1.15149 .42137 (572*2π)/8792 weeks
573-.75788 .44898 (573*2π)/8792 weeks
574-1.10646 .19541 (574*2π)/8792 weeks
575-1.11129 .64907 (575*2π)/8792 weeks
576-.82606 .61398 (576*2π)/8792 weeks
577-.81108 .59925 (577*2π)/8792 weeks
578-.85384 .59016 (578*2π)/8792 weeks
579-.81061 .78874 (579*2π)/8792 weeks
580-.57483 .85214 (580*2π)/8792 weeks
581-.38313 .61292 (581*2π)/8792 weeks
582-.22207 .24541 (582*2π)/8792 weeks
583-.64176 .2225 (583*2π)/8792 weeks
584-.57384 .26003 (584*2π)/8792 weeks
585-.38969 .2711 (585*2π)/8792 weeks
586-.43182 .12688 (586*2π)/8792 weeks
587-.63647 -.22442 (587*2π)/8791 weeks
588-.99875 -.0059 (588*2π)/8791 weeks
589-.74144 .17289 (589*2π)/8791 weeks
590-.94899 .09635 (590*2π)/8791 weeks
591-.96414 .27435 (591*2π)/8791 weeks
592-.98561 .41566 (592*2π)/8791 weeks
593-.96509 .76573 (593*2π)/8791 weeks
594-.67203 .70662 (594*2π)/8791 weeks
595-.77132 .55679 (595*2π)/8791 weeks
596-.6241 .73656 (596*2π)/8791 weeks
597-.54227 .40504 (597*2π)/8791 weeks
598-.65512 .37023 (598*2π)/8791 weeks
599-.63327 .47735 (599*2π)/8791 weeks
600-.65564 .4504 (600*2π)/8791 weeks
601-.72926 .69629 (601*2π)/8791 weeks
602-.57157 .48483 (602*2π)/8791 weeks
603-.5934 .57988 (603*2π)/8791 weeks
604-.44877 .60298 (604*2π)/8791 weeks
605-.45054 .47396 (605*2π)/8791 weeks
606-.46395 .56749 (606*2π)/8791 weeks
607-.26834 .3642 (607*2π)/8791 weeks
608-.54423 .3847 (608*2π)/8791 weeks
609-.32279 .23717 (609*2π)/8791 weeks
610-.62216 .1204 (610*2π)/8791 weeks
611-.79659 .12418 (611*2π)/8791 weeks
612-.75938 .49447 (612*2π)/8791 weeks
613-.81206 .25878 (613*2π)/8791 weeks
614-.84659 .29565 (614*2π)/8791 weeks
615-.77614 .44197 (615*2π)/8791 weeks
616-.64749 .41649 (616*2π)/8791 weeks
617-.90894 .32377 (617*2π)/8791 weeks
618-.99213 .50541 (618*2π)/8791 weeks
619-.8187 .49167 (619*2π)/8791 weeks
620-.84131 .52441 (620*2π)/8791 weeks
621-.79646 .49322 (621*2π)/8791 weeks
622-.82223 .61122 (622*2π)/8791 weeks
623-.37996 .5156 (623*2π)/8791 weeks
624-.49486 .24979 (624*2π)/8791 weeks
625-.81617 .41027 (625*2π)/8791 weeks
626-.54561 .70396 (626*2π)/8791 weeks
627-.42392 .2475 (627*2π)/8791 weeks
628-.66184 .13896 (628*2π)/8791 weeks
629-.69706 .5441 (629*2π)/8791 weeks
630-.62584 .47161 (630*2π)/8791 weeks
631-.72521 .22301 (631*2π)/8791 weeks
632-.76311 .42109 (632*2π)/8791 weeks
633-.66304 .58354 (633*2π)/8791 weeks
634-.61732 .349 (634*2π)/8791 weeks
635-.95536 .67023 (635*2π)/8791 weeks
636-.61834 .46682 (636*2π)/8791 weeks
637-.70627 .48301 (637*2π)/8791 weeks
638-.78004 .56731 (638*2π)/8791 weeks
639-.67429 .82518 (639*2π)/8791 weeks
640-.56175 .69935 (640*2π)/8791 weeks
641-.51979 .46866 (641*2π)/8791 weeks
642-.4467 .3228 (642*2π)/8791 weeks
643-.71724 .65616 (643*2π)/8791 weeks
644-.54097 .5228 (644*2π)/8791 weeks
645-.54575 .50241 (645*2π)/8791 weeks
646-.3553 .44887 (646*2π)/8791 weeks
647-.26521 .45377 (647*2π)/8791 weeks
648-.33075 -.01069 (648*2π)/8791 weeks
649-.49409 -.09428 (649*2π)/8791 weeks
650-.56058 -.10789 (650*2π)/8791 weeks
651-.89472 -.06056 (651*2π)/8791 weeks
652-1.01589 .36305 (652*2π)/8791 weeks
653-.76285 .25557 (653*2π)/8791 weeks
654-1.29536 .23808 (654*2π)/8791 weeks
655-1.31076 .77516 (655*2π)/8791 weeks
656-.93566 .73372 (656*2π)/8791 weeks
657-1.1742 .72581 (657*2π)/8791 weeks
658-1.04741 .95231 (658*2π)/8791 weeks
659-1.09078 1.03936 (659*2π)/8791 weeks
660-.7118 1.21585 (660*2π)/8791 weeks
661-.58881 1.11468 (661*2π)/8791 weeks
662-.4787 .94768 (662*2π)/8791 weeks
663-.47342 .6876 (663*2π)/8791 weeks
664-.50726 .39585 (664*2π)/8791 weeks
665-.97335 .51459 (665*2π)/8791 weeks
666-.76346 .89921 (666*2π)/8791 weeks
667-.55704 .88955 (667*2π)/8791 weeks
668-.23863 .94771 (668*2π)/8791 weeks
669-.31434 .57483 (669*2π)/8791 weeks
670-.22546 .51018 (670*2π)/8791 weeks
671-.43088 .12985 (671*2π)/8791 weeks
672-.77769 .22845 (672*2π)/8791 weeks
673-.8408 .47588 (673*2π)/8791 weeks
674-.73013 .33846 (674*2π)/8791 weeks
675-1.16959 .26274 (675*2π)/8791 weeks
676-1.41677 .66661 (676*2π)/8791 weeks
677-1.44132 1.15636 (677*2π)/8791 weeks
678-1.33465 .99074 (678*2π)/8791 weeks
679-1.22519 1.63844 (679*2π)/8791 weeks
680-.75475 1.62757 (680*2π)/8791 weeks
681-.4352 1.67696 (681*2π)/8791 weeks
682-.42124 1.47549 (682*2π)/8791 weeks
683-.2045 1.2193 (683*2π)/8791 weeks
684-.24236 1.21982 (684*2π)/8791 weeks
685.08951 1.22764 (685*2π)/8791 weeks
686.17625 .95241 (686*2π)/8791 weeks
687.04835 .61463 (687*2π)/8791 weeks
688-.20569 .45391 (688*2π)/8791 weeks
689-.37635 .53563 (689*2π)/8791 weeks
690.00298 .35541 (690*2π)/8791 weeks
691-.8086 .04313 (691*2π)/8791 weeks
692-.78393 .62737 (692*2π)/8791 weeks
693-.90089 .52933 (693*2π)/8791 weeks
694-.9859 .58584 (694*2π)/8791 weeks
695-1.14808 .7139 (695*2π)/8791 weeks
696-1.03049 1.17803 (696*2π)/8791 weeks
697-.81672 .81255 (697*2π)/8791 weeks
698-1.16959 .78101 (698*2π)/8791 weeks
699-1.11843 1.22433 (699*2π)/8791 weeks
700-.74446 1.2934 (700*2π)/8791 weeks
701-.93551 1.01345 (701*2π)/8791 weeks
702-1.1484 1.17145 (702*2π)/8791 weeks
703-.83771 1.26245 (703*2π)/8791 weeks
704-.81072 1.17314 (704*2π)/8791 weeks
705-.76133 1.385 (705*2π)/8791 weeks
706-.43613 1.33838 (706*2π)/8791 weeks
707.11187 .89637 (707*2π)/8791 weeks
708-.2072 .36211 (708*2π)/8791 weeks
709-.20002 .33851 (709*2π)/8791 weeks
710-.83473 .28896 (710*2π)/8791 weeks
711-.60473 .69166 (711*2π)/8791 weeks
712-.65005 .5034 (712*2π)/8791 weeks
713-.68552 .95435 (713*2π)/8791 weeks
714-.6428 .80964 (714*2π)/8791 weeks
715-.52755 .65806 (715*2π)/8791 weeks
716-.72064 .82061 (716*2π)/8791 weeks
717-.66641 .9726 (717*2π)/8791 weeks
718-.73015 .89998 (718*2π)/8791 weeks
719-.54849 1.26082 (719*2π)/8791 weeks
720-.49959 .63194 (720*2π)/8791 weeks
721-1.1853 .67039 (721*2π)/8791 weeks
722-1.20993 1.35944 (722*2π)/8791 weeks
723-.922 1.56946 (723*2π)/8791 weeks
724-1.09138 1.64843 (724*2π)/8791 weeks
725-.52206 1.9563 (725*2π)/8791 weeks
726-.16368 1.50136 (726*2π)/8791 weeks
727-.39186 1.1937 (727*2π)/8791 weeks
728-.43031 1.32095 (728*2π)/8791 weeks
729-.42745 .76884 (729*2π)/8791 weeks
730-.98812 .8541 (730*2π)/8791 weeks
731-1.34442 1.44133 (731*2π)/8791 weeks
732-.46516 1.98558 (732*2π)/8791 weeks
733-.23775 1.58269 (733*2π)/8791 weeks
734.31015 1.54798 (734*2π)/8791 weeks
735.0628 .88856 (735*2π)/8791 weeks
736-.25868 .45391 (736*2π)/8791 weeks
737-.68676 .92151 (737*2π)/8791 weeks
738-.71993 .86156 (738*2π)/8791 weeks
739-1.2485 1.00133 (739*2π)/8791 weeks
740-1.12907 1.39256 (740*2π)/8791 weeks
741-.80311 1.07927 (741*2π)/8791 weeks
742-1.13489 1.15168 (742*2π)/8791 weeks
743-1.50332 .92449 (743*2π)/8791 weeks
744-1.51125 1.50471 (744*2π)/8791 weeks
745-.93787 1.54727 (745*2π)/8791 weeks
746-.90354 1.8208 (746*2π)/8791 weeks
747-.40808 1.33243 (747*2π)/8791 weeks
748-.62175 1.16889 (748*2π)/8791 weeks
749-.62383 .92628 (749*2π)/8791 weeks
750-.97662 1.03508 (750*2π)/8791 weeks
751-1.29091 1.24984 (751*2π)/8791 weeks
752-.84776 1.2618 (752*2π)/8791 weeks
753-1.31677 .78346 (753*2π)/8791 weeks
754-1.81252 1.51384 (754*2π)/8791 weeks
755-1.26619 2.24833 (755*2π)/8791 weeks
756-.93234 1.73905 (756*2π)/8791 weeks
757-1.36457 1.94797 (757*2π)/8791 weeks
758-.68193 2.60889 (758*2π)/8791 weeks
759-.10848 2.28994 (759*2π)/8791 weeks
760-.60528 1.72332 (760*2π)/8791 weeks
761-.16761 1.47432 (761*2π)/8791 weeks
762-.63555 .9822 (762*2π)/8791 weeks
763-.61648 1.22019 (763*2π)/8791 weeks
764-.92651 .8594 (764*2π)/8791 weeks
765-1.22437 1.19316 (765*2π)/8791 weeks
766-1.4405 1.11996 (766*2π)/8791 weeks
767-1.42531 1.15509 (767*2π)/8791 weeks
768-1.61092 1.10075 (768*2π)/8791 weeks
769-2.17032 1.61751 (769*2π)/8791 weeks
770-1.81472 2.33234 (770*2π)/8791 weeks
771-1.15243 2.49827 (771*2π)/8791 weeks
772-.92602 2.01943 (772*2π)/8791 weeks
773-.71251 1.92348 (773*2π)/8791 weeks
774-.81883 1.97506 (774*2π)/8791 weeks
775-.82939 1.76722 (775*2π)/8791 weeks
776-.61131 2.27716 (776*2π)/8791 weeks
777.22627 1.78707 (777*2π)/8791 weeks
778.05045 .86595 (778*2π)/8791 weeks
779-.57289 .53923 (779*2π)/8791 weeks
780-1.14338 1.47855 (780*2π)/8791 weeks
781-.66842 1.41958 (781*2π)/8791 weeks
782-1.07796 1.35987 (782*2π)/8791 weeks
783-.93709 1.78237 (783*2π)/8791 weeks
784-.91328 1.50577 (784*2π)/8791 weeks
785-.99129 .92382 (785*2π)/8791 weeks
786-1.71697 1.80672 (786*2π)/8791 weeks
787-1.68306 1.67025 (787*2π)/8791 weeks
788-1.76557 1.65444 (788*2π)/8791 weeks
789-2.21856 2.30387 (789*2π)/8791 weeks
790-1.55956 2.52089 (790*2π)/8791 weeks
791-1.80089 2.10177 (791*2π)/8791 weeks
792-1.66422 2.72535 (792*2π)/8791 weeks
793-1.39228 2.60109 (793*2π)/8791 weeks
794-1.5581 2.09534 (794*2π)/8791 weeks
795-2.19657 2.34814