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Fourier Analysis of ATT (AT&T Inc. Senior Note 6.375)


ATT (AT&T Inc. Senior Note 6.375) appears to have interesting cyclic behaviour every 13 weeks (11.0274*sine), 6 weeks (10.5451*cosine), and 4 weeks (9.973*cosine).

ATT (AT&T Inc. Senior Note 6.375) has an average price of 31.55 (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 9/22/2005 to 4/17/2017 for ATT (AT&T Inc. Senior Note 6.375), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
031.54687   0 
118.81165 24.09107 (1*2π)/604604 weeks
2.6375 4.90544 (2*2π)/604302 weeks
3.61867 17.95537 (3*2π)/604201 weeks
4-10.98294 6.3865 (4*2π)/604151 weeks
53.07718 -7.07326 (5*2π)/604121 weeks
64.42267 11.8493 (6*2π)/604101 weeks
7-9.13904 -.0454 (7*2π)/60486 weeks
88.20641 -1.42292 (8*2π)/60476 weeks
9-5.06593 10.65166 (9*2π)/60467 weeks
10-4.61121 -3.40694 (10*2π)/60460 weeks
115.73353 1.41431 (11*2π)/60455 weeks
12-4.40088 6.31164 (12*2π)/60450 weeks
13-2.08248 -4.33178 (13*2π)/60446 weeks
144.47592 5.28699 (14*2π)/60443 weeks
15-6.95194 .19939 (15*2π)/60440 weeks
163.07286 -2.31837 (16*2π)/60438 weeks
17-.20395 4.48443 (17*2π)/60436 weeks
18-3.39666 -.1398 (18*2π)/60434 weeks
19.43656 -1.82318 (19*2π)/60432 weeks
20.07108 3.81246 (20*2π)/60430 weeks
21-2.6871 -1.67716 (21*2π)/60429 weeks
221.58964 .94074 (22*2π)/60427 weeks
23-1.02693 .63776 (23*2π)/60426 weeks
24-.35256 1.38714 (24*2π)/60425 weeks
25-1.56008 -2.34604 (25*2π)/60424 weeks
261.98002 2.50911 (26*2π)/60423 weeks
27-3.51574 .28205 (27*2π)/60422 weeks
281.58119 -1.74595 (28*2π)/60422 weeks
29.48732 2.68363 (29*2π)/60421 weeks
30-3.7311 .32969 (30*2π)/60420 weeks
313.08761 -4.03939 (31*2π)/60419 weeks
32.32753 6.98462 (32*2π)/60419 weeks
33-5.29102 -4.55348 (33*2π)/60418 weeks
346.66342 .31131 (34*2π)/60418 weeks
35-4.78205 4.3078 (35*2π)/60417 weeks
36-.95705 -5.7383 (36*2π)/60417 weeks
376.30095 3.11179 (37*2π)/60416 weeks
38-7.91024 4.03255 (38*2π)/60416 weeks
392.6482 -9.40517 (39*2π)/60415 weeks
404.90966 9.26949 (40*2π)/60415 weeks
41-9.14177 -3.31526 (41*2π)/60415 weeks
428.02649 -3.58084 (42*2π)/60414 weeks
43-1.61483 8.39574 (43*2π)/60414 weeks
44-5.69436 -6.20682 (44*2π)/60414 weeks
459.7587 -.69598 (45*2π)/60413 weeks
46-6.3258 8.80548 (46*2π)/60413 weeks
47-.88599 -11.0274 (47*2π)/60413 weeks
488.25947 7.0408 (48*2π)/60413 weeks
49-9.24085 1.20873 (49*2π)/60412 weeks
505.05883 -6.80829 (50*2π)/60412 weeks
513.06401 7.88787 (51*2π)/60412 weeks
52-8.37878 -2.17169 (52*2π)/60412 weeks
538.53635 -4.76963 (53*2π)/60411 weeks
54-2.17018 9.6016 (54*2π)/60411 weeks
55-4.04657 -7.71172 (55*2π)/60411 weeks
567.85106 2.76601 (56*2π)/60411 weeks
57-5.30398 3.79993 (57*2π)/60411 weeks
58.11469 -5.82707 (58*2π)/60410 weeks
595.60252 3.74469 (59*2π)/60410 weeks
60-5.88073 2.1936 (60*2π)/60410 weeks
613.55869 -5.14597 (61*2π)/60410 weeks
62.98863 6.05701 (62*2π)/60410 weeks
63-2.98728 -2.63215 (63*2π)/60410 weeks
643.22695 -.15044 (64*2π)/6049 weeks
65-.20244 2.46041 (65*2π)/6049 weeks
66-1.62931 -.75185 (66*2π)/6049 weeks
672.79188 -.70097 (67*2π)/6049 weeks
68-1.10475 2.44923 (68*2π)/6049 weeks
69.20591 -1.26963 (69*2π)/6049 weeks
70.49003 .63152 (70*2π)/6049 weeks
711.47069 .65548 (71*2π)/6049 weeks
72-2.17003 1.37321 (72*2π)/6048 weeks
732.15887 -2.66331 (73*2π)/6048 weeks
74.80439 3.8309 (74*2π)/6048 weeks
75-2.66309 -1.14677 (75*2π)/6048 weeks
762.86343 -1.38499 (76*2π)/6048 weeks
77.65521 4.18392 (77*2π)/6048 weeks
78-4.13669 -2.57924 (78*2π)/6048 weeks
796.79245 -.4759 (79*2π)/6048 weeks
80-4.50412 5.98481 (80*2π)/6048 weeks
81-.46662 -6.96035 (81*2π)/6047 weeks
825.71681 4.57976 (82*2π)/6047 weeks
83-6.15535 2.18311 (83*2π)/6047 weeks
842.38556 -6.56224 (84*2π)/6047 weeks
854.45342 7.51752 (85*2π)/6047 weeks
86-9.13348 -1.73977 (86*2π)/6047 weeks
878.69535 -4.95425 (87*2π)/6047 weeks
88-2.39653 9.89213 (88*2π)/6047 weeks
89-4.85056 -7.57815 (89*2π)/6047 weeks
908.91746 1.02354 (90*2π)/6047 weeks
91-5.93432 7.01894 (91*2π)/6047 weeks
92-1.56788 -9.2481 (92*2π)/6047 weeks
938.80805 5.92971 (93*2π)/6046 weeks
94-10.54505 2.17278 (94*2π)/6046 weeks
956.07435 -8.31797 (95*2π)/6046 weeks
962.1358 9.49905 (96*2π)/6046 weeks
97-7.6238 -3.79734 (97*2π)/6046 weeks
987.51698 -3.40035 (98*2π)/6046 weeks
99-1.76676 8.67742 (99*2π)/6046 weeks
100-5.31472 -7.39298 (100*2π)/6046 weeks
1019.14024 1.75416 (101*2π)/6046 weeks
102-7.25483 4.98134 (102*2π)/6046 weeks
1031.46604 -7.64829 (103*2π)/6046 weeks
1044.32237 5.21793 (104*2π)/6046 weeks
105-5.92868 .6646 (105*2π)/6046 weeks
1063.06163 -5.19575 (106*2π)/6046 weeks
1072.01286 5.69609 (107*2π)/6046 weeks
108-5.18891 -2.63947 (108*2π)/6046 weeks
1095.20475 -1.34845 (109*2π)/6046 weeks
110-2.15725 3.5234 (110*2π)/6045 weeks
111-.93383 -2.76947 (111*2π)/6045 weeks
1122.25121 .17879 (112*2π)/6045 weeks
113-.82246 1.83607 (113*2π)/6045 weeks
114-.95189 -1.97767 (114*2π)/6045 weeks
1152.07923 .54135 (115*2π)/6045 weeks
116-.83504 .45142 (116*2π)/6045 weeks
117-.29299 -.14538 (117*2π)/6045 weeks
118.47929 -1.50452 (118*2π)/6045 weeks
1191.3601 2.28267 (119*2π)/6045 weeks
120-3.05877 -1.33372 (120*2π)/6045 weeks
1213.45796 -1.3165 (121*2π)/6045 weeks
122-.98098 3.25484 (122*2π)/6045 weeks
123-2.13575 -3.06699 (123*2π)/6045 weeks
1244.56905 -.52121 (124*2π)/6045 weeks
125-2.86143 4.56478 (125*2π)/6045 weeks
126-1.30966 -6.68627 (126*2π)/6045 weeks
1276.37205 3.98582 (127*2π)/6045 weeks
128-7.20428 1.67416 (128*2π)/6045 weeks
1293.84215 -6.50934 (129*2π)/6045 weeks
1302.82045 6.79199 (130*2π)/6045 weeks
131-7.26362 -2.12462 (131*2π)/6045 weeks
1327.17044 -4.93066 (132*2π)/6045 weeks
133-1.12595 9.05551 (133*2π)/6045 weeks
134-5.7724 -7.7189 (134*2π)/6045 weeks
1359.97305 1.21871 (135*2π)/6044 weeks
136-7.17946 6.23145 (136*2π)/6044 weeks
137.02673 -9.3453 (137*2π)/6044 weeks
1387.59582 5.72586 (138*2π)/6044 weeks
139-9.2564 1.96816 (139*2π)/6044 weeks
1405.14179 -8.73305 (140*2π)/6044 weeks
1413.01242 9.92194 (141*2π)/6044 weeks
142-8.77701 -4.77201 (142*2π)/6044 weeks
1439.12672 -3.25486 (143*2π)/6044 weeks
144-3.09729 8.39268 (144*2π)/6044 weeks
145-4.06283 -7.52709 (145*2π)/6044 weeks
1468.69431 1.50808 (146*2π)/6044 weeks
147-6.70298 5.63168 (147*2π)/6044 weeks
148.8604 -8.60019 (148*2π)/6044 weeks
1495.67375 6.1632 (149*2π)/6044 weeks
150-7.43916 -.10515 (150*2π)/6044 weeks
1514.59528 -4.91373 (151*2π)/6044 weeks
1521.11394 5.98316 (152*2π)/6044 weeks
153-4.9023 -2.70474 (153*2π)/6044 weeks
1545.2865 -1.76725 (154*2π)/6044 weeks
155-1.9258 4.84254 (155*2π)/6044 weeks
156-1.70328 -4.31599 (156*2π)/6044 weeks
1573.75318 1.43657 (157*2π)/6044 weeks
158-2.37364 1.66316 (158*2π)/6044 weeks
159.05802 -2.13869 (159*2π)/6044 weeks
1601.6919 .96927 (160*2π)/6044 weeks
161-1.32036 1.07383 (161*2π)/6044 weeks
162-.01923 -1.23285 (162*2π)/6044 weeks
163.85215 .32314 (163*2π)/6044 weeks
164.0643 1.08136 (164*2π)/6044 weeks
165-1.562 -.57198 (165*2π)/6044 weeks
1662.27629 -1.15189 (166*2π)/6044 weeks
167-.88806 3.33374 (167*2π)/6044 weeks
168-2.07791 -3.12439 (168*2π)/6044 weeks
1694.08294 .51368 (169*2π)/6044 weeks
170-3.16111 3.3839 (170*2π)/6044 weeks
171-.72059 -4.94525 (171*2π)/6044 weeks
1724.90537 3.13614 (172*2π)/6044 weeks
173-6.31869 1.87456 (173*2π)/6043 weeks
1743.24738 -6.24301 (174*2π)/6043 weeks
1752.6278 7.02781 (175*2π)/6043 weeks
176-7.23345 -2.63868 (176*2π)/6043 weeks
1776.91612 -3.67442 (177*2π)/6043 weeks
178-1.76367 8.20515 (178*2π)/6043 weeks
179-5.38314 -6.95758 (179*2π)/6043 weeks
1809.15647 .89337 (180*2π)/6043 weeks
181-7.05473 6.46191 (181*2π)/6043 weeks
182-.05579 -9.65904 (182*2π)/6043 weeks
1837.15783 6.46751 (183*2π)/6043 weeks
184-9.59992 1.24826 (184*2π)/6043 weeks
1855.24392 -8.13862 (185*2π)/6043 weeks
1862.56307 9.38608 (186*2π)/6043 weeks
187-8.81001 -4.38572 (187*2π)/6043 weeks
1889.22619 -3.64301 (188*2π)/6043 weeks
189-3.4956 9.10014 (189*2π)/6043 weeks
190-4.31289 -8.43486 (190*2π)/6043 weeks
1918.9074 2.28062 (191*2π)/6043 weeks
192-7.42182 4.93792 (192*2π)/6043 weeks
1931.11044 -8.62485 (193*2π)/6043 weeks
1945.70073 6.24358 (194*2π)/6043 weeks
195-8.04318 .05275 (195*2π)/6043 weeks
1965.03396 -5.75483 (196*2π)/6043 weeks
197.99207 7.16845 (197*2π)/6043 weeks
198-5.57013 -3.86772 (198*2π)/6043 weeks
1996.05613 -1.60859 (199*2π)/6043 weeks
200-2.51274 5.03579 (200*2π)/6043 weeks
201-1.75662 -4.80929 (201*2π)/6043 weeks
2024.34996 1.48298 (202*2π)/6043 weeks
203-3.33634 2.09695 (203*2π)/6043 weeks
204.49542 -3.47746 (204*2π)/6043 weeks
2052.15125 1.93943 (205*2π)/6043 weeks
206-2.11217 .38516 (206*2π)/6043 weeks
207.83167 -1.42584 (207*2π)/6043 weeks
208.72712 .73941 (208*2π)/6043 weeks
209-.50635 .48438 (209*2π)/6043 weeks
210-.48855 -.86899 (210*2π)/6043 weeks
2111.64549 -.29046 (211*2π)/6043 weeks
212-.79114 1.86515 (212*2π)/6043 weeks
213-1.16206 -2.18085 (213*2π)/6043 weeks
2143.29135 .34904 (214*2π)/6043 weeks
215-2.60366 2.65998 (215*2π)/6043 weeks
216-.16203 -4.51882 (216*2π)/6043 weeks
2174.31415 3.21533 (217*2π)/6043 weeks
218-5.60802 1.06163 (218*2π)/6043 weeks
2193.22728 -5.39249 (219*2π)/6043 weeks
2202.41424 6.20425 (220*2π)/6043 weeks
221-6.3649 -2.44591 (221*2π)/6043 weeks
2226.65371 -3.53578 (222*2π)/6043 weeks
223-1.69436 7.82742 (223*2π)/6043 weeks
224-4.57685 -6.99699 (224*2π)/6043 weeks
2258.82886 1.35921 (225*2π)/6043 weeks
226-6.81295 5.81333 (226*2π)/6043 weeks
227.35117 -9.08294 (227*2π)/6043 weeks
2287.02671 6.194 (228*2π)/6043 weeks
229-9.324 1.301 (229*2π)/6043 weeks
2305.72264 -8.05202 (230*2π)/6043 weeks
2312.43896 9.84962 (231*2π)/6043 weeks
232-8.67141 -4.83346 (232*2π)/6043 weeks
2339.40379 -3.06293 (233*2π)/6043 weeks
234-3.61941 8.80778 (234*2π)/6043 weeks
235-4.06183 -8.32905 (235*2π)/6043 weeks
2369.20905 2.46327 (236*2π)/6043 weeks
237-7.82658 5.36531 (237*2π)/6043 weeks
2381.40688 -9.36573 (238*2π)/6043 weeks
2395.89937 7.20925 (239*2π)/6043 weeks
240-8.51704 -.41918 (240*2π)/6043 weeks
2415.59743 -5.65059 (241*2π)/6043 weeks
242.77289 7.42653 (242*2π)/6042 weeks
243-5.77026 -3.95854 (243*2π)/6042 weeks
2446.76705 -1.72341 (244*2π)/6042 weeks
245-3.13552 6.07081 (245*2π)/6042 weeks
246-2.00801 -5.9283 (246*2π)/6042 weeks
2475.13397 2.27057 (247*2π)/6042 weeks
248-4.30184 1.96523 (248*2π)/6042 weeks
249.97129 -3.85193 (249*2π)/6042 weeks
2502.37374 2.58086 (250*2π)/6042 weeks
251-3.07234 .35804 (251*2π)/6042 weeks
2521.56503 -2.18434 (252*2π)/6042 weeks
253.52643 2.11909 (253*2π)/6042 weeks
254-1.25115 -.65473 (254*2π)/6042 weeks
255.39347 -.45453 (255*2π)/6042 weeks
256.89653 .15873 (256*2π)/6042 weeks
257-1.00893 1.28726 (257*2π)/6042 weeks
258-.59158 -2.07153 (258*2π)/6042 weeks
2592.27613 .95784 (259*2π)/6042 weeks
260-2.3134 1.51676 (260*2π)/6042 weeks
261-.17969 -3.39095 (261*2π)/6042 weeks
2623.43674 2.36052 (262*2π)/6042 weeks
263-4.85932 1.14697 (263*2π)/6042 weeks
2642.87446 -4.95097 (264*2π)/6042 weeks
2651.53055 5.96726 (265*2π)/6042 weeks
266-5.70111 -3.01444 (266*2π)/6042 weeks
2676.01852 -2.69183 (267*2π)/6042 weeks
268-1.88277 6.64495 (268*2π)/6042 weeks
269-4.38685 -6.2587 (269*2π)/6042 weeks
2708.30733 .81402 (270*2π)/6042 weeks
271-6.84563 5.74494 (271*2π)/6042 weeks
272.54643 -9.22084 (272*2π)/6042 weeks
2736.3371 6.52933 (273*2π)/6042 weeks
274-9.07714 .30666 (274*2π)/6042 weeks
2755.48834 -7.38166 (275*2π)/6042 weeks
2762.28571 9.09112 (276*2π)/6042 weeks
277-8.78964 -4.65662 (277*2π)/6042 weeks
2789.55259 -3.4181 (278*2π)/6042 weeks
279-4.22331 9.17834 (279*2π)/6042 weeks
280-3.71468 -9.27235 (280*2π)/6042 weeks
2818.94716 3.02134 (281*2π)/6042 weeks
282-7.7982 4.66025 (282*2π)/6042 weeks
2831.34564 -9.19948 (283*2π)/6042 weeks
2846.13757 6.96777 (284*2π)/6042 weeks
285-9.34448 -.33225 (285*2π)/6042 weeks
2866.60543 -6.43018 (286*2π)/6042 weeks
287.09659 8.50208 (287*2π)/6042 weeks
288-5.85732 -5.12056 (288*2π)/6042 weeks
2897.08005 -1.29149 (289*2π)/6042 weeks
290-3.16377 5.88288 (290*2π)/6042 weeks
291-2.44869 -6.19169 (291*2π)/6042 weeks
2926.15736 2.33363 (292*2π)/6042 weeks
293-5.55946 2.50392 (293*2π)/6042 weeks
2941.8329 -5.10508 (294*2π)/6042 weeks
2952.19436 3.87019 (295*2π)/6042 weeks
296-3.4526 -.53691 (296*2π)/6042 weeks
2971.94294 -2.36595 (297*2π)/6042 weeks
298.82569 2.64285 (298*2π)/6042 weeks
299-2.21609 -1.05972 (299*2π)/6042 weeks
3001.87852 -.72672 (300*2π)/6042 weeks
301-.36791 1.18008 (301*2π)/6042 weeks
302-.42046   (302*2π)/6042 weeks
303-.36791 -1.18008 (303*2π)/6042 weeks
3041.87852 .72672 (304*2π)/6042 weeks
305-2.21609 1.05972 (305*2π)/6042 weeks
306.82569 -2.64285 (306*2π)/6042 weeks
3071.94294 2.36595 (307*2π)/6042 weeks
308-3.4526 .53691 (308*2π)/6042 weeks
3092.19436 -3.87019 (309*2π)/6042 weeks
3101.8329 5.10508 (310*2π)/6042 weeks
311-5.55946 -2.50392 (311*2π)/6042 weeks
3126.15736 -2.33363 (312*2π)/6042 weeks
313-2.44869 6.19169 (313*2π)/6042 weeks
314-3.16377 -5.88288 (314*2π)/6042 weeks
3157.08005 1.29149 (315*2π)/6042 weeks
316-5.85732 5.12056 (316*2π)/6042 weeks
317.09659 -8.50208 (317*2π)/6042 weeks
3186.60543 6.43018 (318*2π)/6042 weeks
319-9.34448 .33225 (319*2π)/6042 weeks
3206.13757 -6.96777 (320*2π)/6042 weeks
3211.34564 9.19948 (321*2π)/6042 weeks
322-7.7982 -4.66025 (322*2π)/6042 weeks
3238.94716 -3.02134 (323*2π)/6042 weeks
324-3.71468 9.27235 (324*2π)/6042 weeks
325-4.22331 -9.17834 (325*2π)/6042 weeks
3269.55259 3.4181 (326*2π)/6042 weeks
327-8.78964 4.65662 (327*2π)/6042 weeks
3282.28571 -9.09112 (328*2π)/6042 weeks
3295.48834 7.38166 (329*2π)/6042 weeks
330-9.07714 -.30666 (330*2π)/6042 weeks
3316.3371 -6.52933 (331*2π)/6042 weeks
332.54643 9.22084 (332*2π)/6042 weeks
333-6.84563 -5.74494 (333*2π)/6042 weeks
3348.30733 -.81402 (334*2π)/6042 weeks
335-4.38685 6.2587 (335*2π)/6042 weeks
336-1.88277 -6.64495 (336*2π)/6042 weeks
3376.01852 2.69183 (337*2π)/6042 weeks
338-5.70111 3.01444 (338*2π)/6042 weeks
3391.53055 -5.96726 (339*2π)/6042 weeks
3402.87446 4.95097 (340*2π)/6042 weeks
341-4.85932 -1.14697 (341*2π)/6042 weeks
3423.43674 -2.36052 (342*2π)/6042 weeks
343-.17969 3.39095 (343*2π)/6042 weeks
344-2.3134 -1.51676 (344*2π)/6042 weeks
3452.27613 -.95784 (345*2π)/6042 weeks
346-.59158 2.07153 (346*2π)/6042 weeks
347-1.00893 -1.28726 (347*2π)/6042 weeks
348.89653 -.15873 (348*2π)/6042 weeks
349.39347 .45453 (349*2π)/6042 weeks
350-1.25115 .65473 (350*2π)/6042 weeks
351.52643 -2.11909 (351*2π)/6042 weeks
3521.56503 2.18434 (352*2π)/6042 weeks
353-3.07234 -.35804 (353*2π)/6042 weeks
3542.37374 -2.58086 (354*2π)/6042 weeks
355.97129 3.85193 (355*2π)/6042 weeks
356-4.30184 -1.96523 (356*2π)/6042 weeks
3575.13397 -2.27057 (357*2π)/6042 weeks
358-2.00801 5.9283 (358*2π)/6042 weeks
359-3.13552 -6.07081 (359*2π)/6042 weeks
3606.76705 1.72341 (360*2π)/6042 weeks
361-5.77026 3.95854 (361*2π)/6042 weeks
362.77289 -7.42653 (362*2π)/6042 weeks
3635.59743 5.65059 (363*2π)/6042 weeks
364-8.51704 .41918 (364*2π)/6042 weeks
3655.89937 -7.20925 (365*2π)/6042 weeks
3661.40688 9.36573 (366*2π)/6042 weeks
367-7.82658 -5.36531 (367*2π)/6042 weeks
3689.20905 -2.46327 (368*2π)/6042 weeks
369-4.06183 8.32905 (369*2π)/6042 weeks
370-3.61941 -8.80778 (370*2π)/6042 weeks
3719.40379 3.06293 (371*2π)/6042 weeks
372-8.67141 4.83346 (372*2π)/6042 weeks
3732.43896 -9.84962 (373*2π)/6042 weeks
3745.72264 8.05202 (374*2π)/6042 weeks
375-9.324 -1.301 (375*2π)/6042 weeks
3767.02671 -6.194 (376*2π)/6042 weeks
377.35117 9.08294 (377*2π)/6042 weeks
378-6.81295 -5.81333 (378*2π)/6042 weeks
3798.82886 -1.35921 (379*2π)/6042 weeks
380-4.57685 6.99699 (380*2π)/6042 weeks
381-1.69436 -7.82742 (381*2π)/6042 weeks
3826.65371 3.53578 (382*2π)/6042 weeks
383-6.3649 2.44591 (383*2π)/6042 weeks
3842.41424 -6.20425 (384*2π)/6042 weeks
3853.22728 5.39249 (385*2π)/6042 weeks
386-5.60802 -1.06163 (386*2π)/6042 weeks
3874.31415 -3.21533 (387*2π)/6042 weeks
388-.16203 4.51882 (388*2π)/6042 weeks
389-2.60366 -2.65998 (389*2π)/6042 weeks
3903.29135 -.34904 (390*2π)/6042 weeks
391-1.16206 2.18085 (391*2π)/6042 weeks
392-.79114 -1.86515 (392*2π)/6042 weeks
3931.64549 .29046 (393*2π)/6042 weeks
394-.48855 .86899 (394*2π)/6042 weeks
395-.50635 -.48438 (395*2π)/6042 weeks
396.72712 -.73941 (396*2π)/6042 weeks
397.83167 1.42584 (397*2π)/6042 weeks
398-2.11217 -.38516 (398*2π)/6042 weeks
3992.15125 -1.93943 (399*2π)/6042 weeks
400.49542 3.47746 (400*2π)/6042 weeks
401-3.33634 -2.09695 (401*2π)/6042 weeks
4024.34996 -1.48298 (402*2π)/6042 weeks
403-1.75662 4.80929 (403*2π)/6041 weeks
404-2.51274 -5.03579 (404*2π)/6041 weeks
4056.05613 1.60859 (405*2π)/6041 weeks
406-5.57013 3.86772 (406*2π)/6041 weeks
407.99207 -7.16845 (407*2π)/6041 weeks
4085.03396 5.75483 (408*2π)/6041 weeks
409-8.04318 -.05275 (409*2π)/6041 weeks
4105.70073 -6.24358 (410*2π)/6041 weeks
4111.11044 8.62485 (411*2π)/6041 weeks
412-7.42182 -4.93792 (412*2π)/6041 weeks
4138.9074 -2.28062 (413*2π)/6041 weeks
414-4.31289 8.43486 (414*2π)/6041 weeks
415-3.4956 -9.10014 (415*2π)/6041 weeks
4169.22619 3.64301 (416*2π)/6041 weeks
417-8.81001 4.38572 (417*2π)/6041 weeks
4182.56307 -9.38608 (418*2π)/6041 weeks
4195.24392 8.13862 (419*2π)/6041 weeks
420-9.59992 -1.24826 (420*2π)/6041 weeks
4217.15783 -6.46751 (421*2π)/6041 weeks
422-.05579 9.65904 (422*2π)/6041 weeks
423-7.05473 -6.46191 (423*2π)/6041 weeks
4249.15647 -.89337 (424*2π)/6041 weeks
425-5.38314 6.95758 (425*2π)/6041 weeks
426-1.76367 -8.20515 (426*2π)/6041 weeks
4276.91612 3.67442 (427*2π)/6041 weeks
428-7.23345 2.63868 (428*2π)/6041 weeks
4292.6278 -7.02781 (429*2π)/6041 weeks
4303.24738 6.24301 (430*2π)/6041 weeks
431-6.31869 -1.87456 (431*2π)/6041 weeks
4324.90537 -3.13614 (432*2π)/6041 weeks
433-.72059 4.94525 (433*2π)/6041 weeks
434-3.16111 -3.3839 (434*2π)/6041 weeks
4354.08294 -.51368 (435*2π)/6041 weeks
436-2.07791 3.12439 (436*2π)/6041 weeks
437-.88806 -3.33374 (437*2π)/6041 weeks
4382.27629 1.15189 (438*2π)/6041 weeks
439-1.562 .57198 (439*2π)/6041 weeks
440.0643 -1.08136 (440*2π)/6041 weeks
441.85215 -.32314 (441*2π)/6041 weeks
442-.01923 1.23285 (442*2π)/6041 weeks
443-1.32036 -1.07383 (443*2π)/6041 weeks
4441.6919 -.96927 (444*2π)/6041 weeks
445.05802 2.13869 (445*2π)/6041 weeks
446-2.37364 -1.66316 (446*2π)/6041 weeks
4473.75318 -1.43657 (447*2π)/6041 weeks
448-1.70328 4.31599 (448*2π)/6041 weeks
449-1.9258 -4.84254 (449*2π)/6041 weeks
4505.2865 1.76725 (450*2π)/6041 weeks
451-4.9023 2.70474 (451*2π)/6041 weeks
4521.11394 -5.98316 (452*2π)/6041 weeks
4534.59528 4.91373 (453*2π)/6041 weeks
454-7.43916 .10515 (454*2π)/6041 weeks
4555.67375 -6.1632 (455*2π)/6041 weeks
456.8604 8.60019 (456*2π)/6041 weeks
457-6.70298 -5.63168 (457*2π)/6041 weeks
4588.69431 -1.50808 (458*2π)/6041 weeks
459-4.06283 7.52709 (459*2π)/6041 weeks
460-3.09729 -8.39268 (460*2π)/6041 weeks
4619.12672 3.25486 (461*2π)/6041 weeks
462-8.77701 4.77201 (462*2π)/6041 weeks
4633.01242 -9.92194 (463*2π)/6041 weeks
4645.14179 8.73305 (464*2π)/6041 weeks
465-9.2564 -1.96816 (465*2π)/6041 weeks
4667.59582 -5.72586 (466*2π)/6041 weeks
467.02673 9.3453 (467*2π)/6041 weeks
468-7.17946 -6.23145 (468*2π)/6041 weeks
4699.97305 -1.21871 (469*2π)/6041 weeks
470-5.7724 7.7189 (470*2π)/6041 weeks
471-1.12595 -9.05551 (471*2π)/6041 weeks
4727.17044 4.93066 (472*2π)/6041 weeks
473-7.26362 2.12462 (473*2π)/6041 weeks
4742.82045 -6.79199 (474*2π)/6041 weeks
4753.84215 6.50934 (475*2π)/6041 weeks
476-7.20428 -1.67416 (476*2π)/6041 weeks
4776.37205 -3.98582 (477*2π)/6041 weeks
478-1.30966 6.68627 (478*2π)/6041 weeks
479-2.86143 -4.56478 (479*2π)/6041 weeks
4804.56905 .52121 (480*2π)/6041 weeks
481-2.13575 3.06699 (481*2π)/6041 weeks
482-.98098 -3.25484 (482*2π)/6041 weeks
4833.45796 1.3165 (483*2π)/6041 weeks
484-3.05877 1.33372 (484*2π)/6041 weeks
4851.3601 -2.28267 (485*2π)/6041 weeks
486.47929 1.50452 (486*2π)/6041 weeks
487-.29299 .14538 (487*2π)/6041 weeks
488-.83504 -.45142 (488*2π)/6041 weeks
4892.07923 -.54135 (489*2π)/6041 weeks
490-.95189 1.97767 (490*2π)/6041 weeks
491-.82246 -1.83607 (491*2π)/6041 weeks
4922.25121 -.17879 (492*2π)/6041 weeks
493-.93383 2.76947 (493*2π)/6041 weeks
494-2.15725 -3.5234 (494*2π)/6041 weeks
4955.20475 1.34845 (495*2π)/6041 weeks
496-5.18891 2.63947 (496*2π)/6041 weeks
4972.01286 -5.69609 (497*2π)/6041 weeks
4983.06163 5.19575 (498*2π)/6041 weeks
499-5.92868 -.6646 (499*2π)/6041 weeks
5004.32237 -5.21793 (500*2π)/6041 weeks
5011.46604 7.64829 (501*2π)/6041 weeks
502-7.25483 -4.98134 (502*2π)/6041 weeks
5039.14024 -1.75416 (503*2π)/6041 weeks
504-5.31472 7.39298 (504*2π)/6041 weeks
505-1.76676 -8.67742 (505*2π)/6041 weeks
5067.51698 3.40035 (506*2π)/6041 weeks
507-7.6238 3.79734 (507*2π)/6041 weeks
5082.1358 -9.49905 (508*2π)/6041 weeks
5096.07435 8.31797 (509*2π)/6041 weeks
510-10.54505 -2.17278 (510*2π)/6041 weeks
5118.80805 -5.92971 (511*2π)/6041 weeks
512-1.56788 9.2481 (512*2π)/6041 weeks
513-5.93432 -7.01894 (513*2π)/6041 weeks
5148.91746 -1.02354 (514*2π)/6041 weeks
515-4.85056 7.57815 (515*2π)/6041 weeks
516-2.39653 -9.89213 (516*2π)/6041 weeks
5178.69535 4.95425 (517*2π)/6041 weeks
518-9.13348 1.73977 (518*2π)/6041 weeks
5194.45342 -7.51752 (519*2π)/6041 weeks
5202.38556 6.56224 (520*2π)/6041 weeks
521-6.15535 -2.18311 (521*2π)/6041 weeks
5225.71681 -4.57976 (522*2π)/6041 weeks
523-.46662 6.96035 (523*2π)/6041 weeks
524-4.50412 -5.98481 (524*2π)/6041 weeks
5256.79245 .4759 (525*2π)/6041 weeks
526-4.13669 2.57924 (526*2π)/6041 weeks
527.65521 -4.18392 (527*2π)/6041 weeks
5282.86343 1.38499 (528*2π)/6041 weeks
529-2.66309 1.14677 (529*2π)/6041 weeks
530.80439 -3.8309 (530*2π)/6041 weeks
5312.15887 2.66331 (531*2π)/6041 weeks
532-2.17003 -1.37321 (532*2π)/6041 weeks
5331.47069 -.65548 (533*2π)/6041 weeks
534.49003 -.63152 (534*2π)/6041 weeks
535.20591 1.26963 (535*2π)/6041 weeks
536-1.10475 -2.44923 (536*2π)/6041 weeks
5372.79188 .70097 (537*2π)/6041 weeks
538-1.62931 .75185 (538*2π)/6041 weeks
539-.20244 -2.46041 (539*2π)/6041 weeks
5403.22695 .15044 (540*2π)/6041 weeks
541-2.98728 2.63215 (541*2π)/6041 weeks
542.98863 -6.05701 (542*2π)/6041 weeks
5433.55869 5.14597 (543*2π)/6041 weeks
544-5.88073 -2.1936 (544*2π)/6041 weeks
5455.60252 -3.74469 (545*2π)/6041 weeks
546.11469 5.82707 (546*2π)/6041 weeks
547-5.30398 -3.79993 (547*2π)/6041 weeks
5487.85106 -2.76601 (548*2π)/6041 weeks
549-4.04657 7.71172 (549*2π)/6041 weeks
550-2.17018 -9.6016 (550*2π)/6041 weeks
5518.53635 4.76963 (551*2π)/6041 weeks
552-8.37878 2.17169 (552*2π)/6041 weeks
5533.06401 -7.88787 (553*2π)/6041 weeks
5545.05883 6.80829 (554*2π)/6041 weeks
555-9.24085 -1.20873 (555*2π)/6041 weeks
5568.25947 -7.0408 (556*2π)/6041 weeks
557-.88599 11.0274 (557*2π)/6041 weeks
558-6.3258 -8.80548 (558*2π)/6041 weeks
5599.7587 .69598 (559*2π)/6041 weeks
560-5.69436 6.20682 (560*2π)/6041 weeks
561-1.61483 -8.39574 (561*2π)/6041 weeks
5628.02649 3.58084 (562*2π)/6041 weeks
563-9.14177 3.31526 (563*2π)/6041 weeks
5644.90966 -9.26949 (564*2π)/6041 weeks
5652.6482 9.40517 (565*2π)/6041 weeks
566-7.91024 -4.03255 (566*2π)/6041 weeks
5676.30095 -3.11179 (567*2π)/6041 weeks
568-.95705 5.7383 (568*2π)/6041 weeks
569-4.78205 -4.3078 (569*2π)/6041 weeks
5706.66342 -.31131 (570*2π)/6041 weeks
571-5.29102 4.55348 (571*2π)/6041 weeks
572.32753 -6.98462 (572*2π)/6041 weeks
5733.08761 4.03939 (573*2π)/6041 weeks
574-3.7311 -.32969 (574*2π)/6041 weeks
575.48732 -2.68363 (575*2π)/6041 weeks
5761.58119 1.74595 (576*2π)/6041 weeks
577-3.51574 -.28205 (577*2π)/6041 weeks
5781.98002 -2.50911 (578*2π)/6041 weeks
579-1.56008 2.34604 (579*2π)/6041 weeks
580-.35256 -1.38714 (580*2π)/6041 weeks
581-1.02693 -.63776 (581*2π)/6041 weeks
5821.58964 -.94074 (582*2π)/6041 weeks
583-2.6871 1.67716 (583*2π)/6041 weeks
584.07108 -3.81246 (584*2π)/6041 weeks
585.43656 1.82318 (585*2π)/6041 weeks
586-3.39666 .1398 (586*2π)/6041 weeks
587-.20395 -4.48443 (587*2π)/6041 weeks
5883.07286 2.31837 (588*2π)/6041 weeks
589-6.95194 -.19939 (589*2π)/6041 weeks
5904.47592 -5.28699 (590*2π)/6041 weeks
591-2.08248 4.33178 (591*2π)/6041 weeks
592-4.40088 -6.31164 (592*2π)/6041 weeks
5935.73353 -1.41431 (593*2π)/6041 weeks
594-4.61121 3.40694 (594*2π)/6041 weeks
595-5.06593 -10.65166 (595*2π)/6041 weeks
5968.20641 1.42292 (596*2π)/6041 weeks
597-9.13904 .0454 (597*2π)/6041 weeks
5984.42267 -11.8493 (598*2π)/6041 weeks
5993.07718 7.07326 (599*2π)/6041 weeks
600-10.98294 -6.3865 (600*2π)/6041 weeks
601.61867 -17.95537 (601*2π)/6041 weeks
602.6375 -4.90544 (602*2π)/6041 weeks



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