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Fourier Analysis of ATT (Grupa Azoty SA)


ATT (Grupa Azoty SA) appears to have interesting cyclic behaviour every 44 weeks (67.4315*cosine), 47 weeks (62.445*sine), and 28 weeks (44.191*cosine).

ATT (Grupa Azoty SA) has an average price of 269.17 (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 6/19/2017 for ATT (Grupa Azoty SA), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
0269.1671   0 
1-33.96434 285.9666 (1*2π)/614614 weeks
2111.9502 -105.7885 (2*2π)/614307 weeks
3132.7281 228.3463 (3*2π)/614205 weeks
4-25.21188 100.1796 (4*2π)/614154 weeks
5-28.62732 137.8773 (5*2π)/614123 weeks
6-82.47051 2.57635 (6*2π)/614102 weeks
7-9.67069 27.20079 (7*2π)/61488 weeks
8-24.14393 -25.62077 (8*2π)/61477 weeks
944.70247 38.59623 (9*2π)/61468 weeks
10-32.70808 20.74863 (10*2π)/61461 weeks
1127.97417 2.69399 (11*2π)/61456 weeks
1211.44785 35.3355 (12*2π)/61451 weeks
13-.73228 62.44499 (13*2π)/61447 weeks
14-67.43147 21.3998 (14*2π)/61444 weeks
15-8.61706 -24.71045 (15*2π)/61441 weeks
16.91443 -.61535 (16*2π)/61438 weeks
179.3198 13.09899 (17*2π)/61436 weeks
18-23.57105 2.03534 (18*2π)/61434 weeks
1921.48554 -5.49467 (19*2π)/61432 weeks
20-.46757 21.22788 (20*2π)/61431 weeks
2115.07336 21.57282 (21*2π)/61429 weeks
22-44.19104 27.17913 (22*2π)/61428 weeks
23-2.78763 -30.03889 (23*2π)/61427 weeks
24-9.83481 15.8795 (24*2π)/61426 weeks
258.02673 -25.15827 (25*2π)/61425 weeks
265.9175 29.83602 (26*2π)/61424 weeks
27-9.78361 -23.10437 (27*2π)/61423 weeks
2822.59807 18.41364 (28*2π)/61422 weeks
29-7.74621 3.19659 (29*2π)/61421 weeks
302.93334 28.23237 (30*2π)/61420 weeks
31-33.97767 -12.74627 (31*2π)/61420 weeks
3220.13908 -5.79505 (32*2π)/61419 weeks
33-15.41996 -4.05549 (33*2π)/61419 weeks
3424.70157 -4.42714 (34*2π)/61418 weeks
35-17.06656 12.73041 (35*2π)/61418 weeks
3619.17729 -15.00914 (36*2π)/61417 weeks
37-.10101 24.01611 (37*2π)/61417 weeks
381.5326 -5.05978 (38*2π)/61416 weeks
39-10.08378 18.32396 (39*2π)/61416 weeks
40-10.42548 -22.48755 (40*2π)/61415 weeks
4114.6584 1.94925 (41*2π)/61415 weeks
42.03657 -3.58657 (42*2π)/61415 weeks
4311.35007 4.41994 (43*2π)/61414 weeks
44-.15422 1.12599 (44*2π)/61414 weeks
4512.62825 2.73032 (45*2π)/61414 weeks
46-.21358 13.58712 (46*2π)/61413 weeks
47-4.96945 1.50719 (47*2π)/61413 weeks
48-1.77135 2.25058 (48*2π)/61413 weeks
49-2.51975 -8.49865 (49*2π)/61413 weeks
5014.10667 -1.21506 (50*2π)/61412 weeks
511.6502 5.80515 (51*2π)/61412 weeks
529.79921 1.5108 (52*2π)/61412 weeks
53-.11298 8.75001 (53*2π)/61412 weeks
547.56341 .27225 (54*2π)/61411 weeks
55-1.84734 16.08847 (55*2π)/61411 weeks
56-7.02574 -4.84323 (56*2π)/61411 weeks
573.75527 2.25756 (57*2π)/61411 weeks
581.67933 -6.60196 (58*2π)/61411 weeks
5912.691 5.62481 (59*2π)/61410 weeks
60.21113 2.35232 (60*2π)/61410 weeks
619.46564 9.94238 (61*2π)/61410 weeks
62-7.85533 4.1609 (62*2π)/61410 weeks
6312.37514 5.25805 (63*2π)/61410 weeks
64-11.71442 11.37209 (64*2π)/61410 weeks
653.05774 -6.87337 (65*2π)/6149 weeks
66-4.86418 2.77244 (66*2π)/6149 weeks
6713.11411 -7.33479 (67*2π)/6149 weeks
682.36662 16.95174 (68*2π)/6149 weeks
693.05191 -2.80995 (69*2π)/6149 weeks
701.96526 12.79119 (70*2π)/6149 weeks
71.43414 -2.94685 (71*2π)/6149 weeks
72.04174 14.30561 (72*2π)/6149 weeks
73-8.09078 -3.94558 (73*2π)/6148 weeks
742.90832 4.60116 (74*2π)/6148 weeks
75.47284 -7.24915 (75*2π)/6148 weeks
7613.65061 9.38763 (76*2π)/6148 weeks
77-6.28242 4.91874 (77*2π)/6148 weeks
785.12769 4.8468 (78*2π)/6148 weeks
79-5.36973 4.63416 (79*2π)/6148 weeks
805.72345 6.78724 (80*2π)/6148 weeks
81-11.30963 5.7334 (81*2π)/6148 weeks
823.7603 -5.70598 (82*2π)/6147 weeks
83-2.94502 2.2747 (83*2π)/6147 weeks
848.66056 -3.08014 (84*2π)/6147 weeks
85-2.95927 11.4234 (85*2π)/6147 weeks
862.74113 -2.75421 (86*2π)/6147 weeks
87-2.3951 12.08921 (87*2π)/6147 weeks
88-1.98027 -5.23576 (88*2π)/6147 weeks
89-1.3042 9.57678 (89*2π)/6147 weeks
90-6.08834 -7.9067 (90*2π)/6147 weeks
913.60098 5.40983 (91*2π)/6147 weeks
92-3.45222 -6.78675 (92*2π)/6147 weeks
9312.18571 6.45484 (93*2π)/6147 weeks
94-7.21746 3.47688 (94*2π)/6147 weeks
955.56026 2.47439 (95*2π)/6146 weeks
96-9.59341 3.8147 (96*2π)/6146 weeks
975.62791 -3.62271 (97*2π)/6146 weeks
98-7.26137 7.76596 (98*2π)/6146 weeks
991.60316 -10.18197 (99*2π)/6146 weeks
100.73833 6.80301 (100*2π)/6146 weeks
1012.24422 -9.95605 (101*2π)/6146 weeks
1027.24695 13.64256 (102*2π)/6146 weeks
103-8.92604 -5.10394 (103*2π)/6146 weeks
1047.07217 7.13934 (104*2π)/6146 weeks
105-12.6149 -5.98723 (105*2π)/6146 weeks
10613.44846 1.52368 (106*2π)/6146 weeks
107-14.35474 1.44615 (107*2π)/6146 weeks
10814.12276 -8.72019 (108*2π)/6146 weeks
109-7.18823 6.3987 (109*2π)/6146 weeks
11013.81237 -10.04086 (110*2π)/6146 weeks
111-4.59294 19.87845 (111*2π)/6146 weeks
112-1.8937 -12.71948 (112*2π)/6145 weeks
1131.62104 11.96599 (113*2π)/6145 weeks
114-2.18155 -14.92619 (114*2π)/6145 weeks
1158.12951 16.02912 (115*2π)/6145 weeks
116-14.94006 -14.30708 (116*2π)/6145 weeks
11722.42845 5.16823 (117*2π)/6145 weeks
118-10.83847 .77714 (118*2π)/6145 weeks
11919.27966 3.33868 (119*2π)/6145 weeks
120-18.71324 5.47874 (120*2π)/6145 weeks
12115.74633 -8.1042 (121*2π)/6145 weeks
122-14.60148 12.2355 (122*2π)/6145 weeks
12314.16441 -14.85307 (123*2π)/6145 weeks
124-6.71569 17.5094 (124*2π)/6145 weeks
1257.39529 -22.7356 (125*2π)/6145 weeks
1266.66349 20.99383 (126*2π)/6145 weeks
127-2.62223 -14.41689 (127*2π)/6145 weeks
12810.24072 21.85852 (128*2π)/6145 weeks
129-14.27505 -12.30878 (129*2π)/6145 weeks
13016.5279 11.48903 (130*2π)/6145 weeks
131-18.08668 -7.37696 (131*2π)/6145 weeks
13222.37304 3.27013 (132*2π)/6145 weeks
133-19.56482 3.21352 (133*2π)/6145 weeks
13423.76491 -8.28579 (134*2π)/6145 weeks
135-12.82045 15.20734 (135*2π)/6145 weeks
13615.44268 -10.71323 (136*2π)/6145 weeks
137-12.08846 22.87242 (137*2π)/6144 weeks
1385.12928 -19.94191 (138*2π)/6144 weeks
139-.20551 21.04162 (139*2π)/6144 weeks
140-1.24309 -21.09357 (140*2π)/6144 weeks
1418.19627 21.40766 (141*2π)/6144 weeks
142-10.25861 -17.66949 (142*2π)/6144 weeks
14319.67785 16.65702 (143*2π)/6144 weeks
144-13.83659 -6.59297 (144*2π)/6144 weeks
14518.84691 11.14309 (145*2π)/6144 weeks
146-23.09013 -2.02035 (146*2π)/6144 weeks
14719.39033 -3.45345 (147*2π)/6144 weeks
148-16.48867 8.67777 (148*2π)/6144 weeks
14915.65057 -8.50973 (149*2π)/6144 weeks
150-9.41272 13.39839 (150*2π)/6144 weeks
1519.50725 -13.62115 (151*2π)/6144 weeks
152-1.73109 17.13433 (152*2π)/6144 weeks
153-.58975 -9.3843 (153*2π)/6144 weeks
154.20305 15.62399 (154*2π)/6144 weeks
155-7.90589 -11.11599 (155*2π)/6144 weeks
1569.23545 6.73805 (156*2π)/6144 weeks
157-6.32393 -3.80682 (157*2π)/6144 weeks
1588.55676 3.45911 (158*2π)/6144 weeks
159-6.7681 .16308 (159*2π)/6144 weeks
1608.33768 .28386 (160*2π)/6144 weeks
161-3.96415 6.87252 (161*2π)/6144 weeks
162.58516 .00723 (162*2π)/6144 weeks
163-5.28061 2.60191 (163*2π)/6144 weeks
164-.07349 -5.51125 (164*2π)/6144 weeks
1652.32335 1.97464 (165*2π)/6144 weeks
166-1.05232 -.0337 (166*2π)/6144 weeks
1671.63749 -.47397 (167*2π)/6144 weeks
1681.22621 1.67978 (168*2π)/6144 weeks
1691.19263 .19857 (169*2π)/6144 weeks
170.00306 4.70439 (170*2π)/6144 weeks
171-5.50458 -1.93856 (171*2π)/6144 weeks
1722.70866 -.52893 (172*2π)/6144 weeks
173-3.65967 -2.86262 (173*2π)/6144 weeks
1748.29495 -1.40405 (174*2π)/6144 weeks
175-5.72443 4.4739 (175*2π)/6144 weeks
1766.55639 -5.78829 (176*2π)/6143 weeks
177-1.44613 8.81209 (177*2π)/6143 weeks
1781.87546 -6.73339 (178*2π)/6143 weeks
179-1.38411 10.2891 (179*2π)/6143 weeks
180-5.65676 -10.4513 (180*2π)/6143 weeks
1816.80529 5.42547 (181*2π)/6143 weeks
182-4.6155 -7.40573 (182*2π)/6143 weeks
18312.18567 3.71188 (183*2π)/6143 weeks
184-8.86075 -1.24315 (184*2π)/6143 weeks
18511.35969 -2.4194 (185*2π)/6143 weeks
186-7.43622 6.89099 (186*2π)/6143 weeks
1877.45349 -5.22882 (187*2π)/6143 weeks
188-4.27776 9.42294 (188*2π)/6143 weeks
1891.67824 -13.47461 (189*2π)/6143 weeks
1904.52261 7.45228 (190*2π)/6143 weeks
191-1.53841 -8.61544 (191*2π)/6143 weeks
1929.86697 11.20605 (192*2π)/6143 weeks
193-8.50347 -4.60082 (193*2π)/6143 weeks
19414.7513 2.68673 (194*2π)/6143 weeks
195-10.2226 2.67382 (195*2π)/6143 weeks
1969.78656 -2.23697 (196*2π)/6143 weeks
197-11.37781 5.01299 (197*2π)/6143 weeks
19810.92066 -10.79268 (198*2π)/6143 weeks
199-1.59592 10.54489 (199*2π)/6143 weeks
2006.55125 -9.63438 (200*2π)/6143 weeks
201-.30203 13.79716 (201*2π)/6143 weeks
202-1.41799 -11.81611 (202*2π)/6143 weeks
2038.03383 13.30835 (203*2π)/6143 weeks
204-7.70796 -5.93658 (204*2π)/6143 weeks
2058.14972 6.47565 (205*2π)/6143 weeks
206-9.95886 -6.19645 (206*2π)/6143 weeks
20715.29741 .56857 (207*2π)/6143 weeks
208-6.91695 4.86064 (208*2π)/6143 weeks
2099.40895 -1.90457 (209*2π)/6143 weeks
210-6.94037 5.95821 (210*2π)/6143 weeks
2117.3236 -4.97049 (211*2π)/6143 weeks
212-3.76038 10.396 (212*2π)/6143 weeks
2131.15465 -6.61049 (213*2π)/6143 weeks
214-.7539 5.44097 (214*2π)/6143 weeks
2152.04351 -8.64486 (215*2π)/6143 weeks
2164.74833 7.70643 (216*2π)/6143 weeks
217-1.34611 -1.86651 (217*2π)/6143 weeks
2182.28422 6.32792 (218*2π)/6143 weeks
219-.76041 -2.92191 (219*2π)/6143 weeks
2202.43663 5.93502 (220*2π)/6143 weeks
221-3.51985 -3.56025 (221*2π)/6143 weeks
222.99167 4.96744 (222*2π)/6143 weeks
223-2.75675 -6.7055 (223*2π)/6143 weeks
2248.15257 6.07616 (224*2π)/6143 weeks
225-4.3073 -3.05401 (225*2π)/6143 weeks
2267.41335 7.01121 (226*2π)/6143 weeks
227-10.6113 -2.01933 (227*2π)/6143 weeks
22810.0463 2.77074 (228*2π)/6143 weeks
229-10.88759 2.20383 (229*2π)/6143 weeks
2309.78155 -1.54281 (230*2π)/6143 weeks
231-11.21665 2.22086 (231*2π)/6143 weeks
23213.10426 -8.38975 (232*2π)/6143 weeks
233-6.94517 10.37909 (233*2π)/6143 weeks
2347.32912 -8.69234 (234*2π)/6143 weeks
235-6.06204 14.18433 (235*2π)/6143 weeks
2361.51444 -13.48468 (236*2π)/6143 weeks
2371.01296 13.931 (237*2π)/6143 weeks
238-4.41072 -13.16072 (238*2π)/6143 weeks
2395.42208 10.68735 (239*2π)/6143 weeks
240-7.90983 -13.31833 (240*2π)/6143 weeks
24113.66689 7.8732 (241*2π)/6143 weeks
242-10.32314 -3.17775 (242*2π)/6143 weeks
24311.64265 6.03466 (243*2π)/6143 weeks
244-13.75585 -1.28042 (244*2π)/6143 weeks
24513.83858 -2.39689 (245*2π)/6143 weeks
246-11.43781 4.58086 (246*2π)/6142 weeks
2478.01268 -6.96603 (247*2π)/6142 weeks
248-7.0935 3.4042 (248*2π)/6142 weeks
24910.11981 -7.03414 (249*2π)/6142 weeks
250-3.12546 8.4294 (250*2π)/6142 weeks
2516.34367 -5.19701 (251*2π)/6142 weeks
252-5.01536 7.2559 (252*2π)/6142 weeks
2533.82349 -8.34117 (253*2π)/6142 weeks
254-3.54256 8.25436 (254*2π)/6142 weeks
2552.75725 -8.60817 (255*2π)/6142 weeks
256-.85282 7.43929 (256*2π)/6142 weeks
2573.60507 -11.85987 (257*2π)/6142 weeks
2583.13318 9.31986 (258*2π)/6142 weeks
259.02736 -9.28044 (259*2π)/6142 weeks
2602.35649 12.5296 (260*2π)/6142 weeks
261-5.81342 -11.949 (261*2π)/6142 weeks
2629.3694 10.31039 (262*2π)/6142 weeks
263-9.75479 -9.81397 (263*2π)/6142 weeks
26413.83233 5.77935 (264*2π)/6142 weeks
265-12.64651 -6.01528 (265*2π)/6142 weeks
26618.276 1.36531 (266*2π)/6142 weeks
267-13.08255 3.13336 (267*2π)/6142 weeks
26816.38909 -2.7177 (268*2π)/6142 weeks
269-14.73397 9.19524 (269*2π)/6142 weeks
27012.58674 -11.63402 (270*2π)/6142 weeks
271-7.33339 12.35356 (271*2π)/6142 weeks
2728.10414 -15.0676 (272*2π)/6142 weeks
273-1.98559 14.4025 (273*2π)/6142 weeks
2741.62184 -15.47175 (274*2π)/6142 weeks
2756.89295 15.09226 (275*2π)/6142 weeks
276-4.14161 -8.3539 (276*2π)/6142 weeks
2776.73032 10.44223 (277*2π)/6142 weeks
278-8.87771 -7.14727 (278*2π)/6142 weeks
2798.75206 3.68599 (279*2π)/6142 weeks
280-6.91584 -1.62374 (280*2π)/6142 weeks
2818.33944 -.33548 (281*2π)/6142 weeks
282-2.21106 2.00885 (282*2π)/6142 weeks
2833.82282 -1.53463 (283*2π)/6142 weeks
2842.05654 1.62525 (284*2π)/6142 weeks
285-.27935 5.71843 (285*2π)/6142 weeks
286-2.74938 -1.68726 (286*2π)/6142 weeks
2871.41763 2.6232 (287*2π)/6142 weeks
288-.37866 -5.59813 (288*2π)/6142 weeks
2894.32647 7.16736 (289*2π)/6142 weeks
290-6.41025 -6.61288 (290*2π)/6142 weeks
29111.57189 6.03309 (291*2π)/6142 weeks
292-9.96519 -2.56322 (292*2π)/6142 weeks
29314.77498 4.07422 (293*2π)/6142 weeks
294-18.36056 3.52687 (294*2π)/6142 weeks
29516.03324 -7.09068 (295*2π)/6142 weeks
296-15.36396 9.48666 (296*2π)/6142 weeks
29716.87053 -15.87022 (297*2π)/6142 weeks
298-11.89547 20.21781 (298*2π)/6142 weeks
2997.8693 -24.70548 (299*2π)/6142 weeks
3001.007 27.8325 (300*2π)/6142 weeks
301-4.63303 -23.5476 (301*2π)/6142 weeks
30210.61548 25.84161 (302*2π)/6142 weeks
303-18.05761 -23.06429 (303*2π)/6142 weeks
30420.04423 16.89606 (304*2π)/6142 weeks
305-25.04689 -14.83161 (305*2π)/6142 weeks
30631.33725 8.6701 (306*2π)/6142 weeks
307-29.08081   (307*2π)/6142 weeks
30831.33725 -8.6701 (308*2π)/6142 weeks
309-25.04689 14.83161 (309*2π)/6142 weeks
31020.04423 -16.89606 (310*2π)/6142 weeks
311-18.05761 23.06429 (311*2π)/6142 weeks
31210.61548 -25.84161 (312*2π)/6142 weeks
313-4.63303 23.5476 (313*2π)/6142 weeks
3141.007 -27.8325 (314*2π)/6142 weeks
3157.8693 24.70548 (315*2π)/6142 weeks
316-11.89547 -20.21781 (316*2π)/6142 weeks
31716.87053 15.87022 (317*2π)/6142 weeks
318-15.36396 -9.48666 (318*2π)/6142 weeks
31916.03324 7.09068 (319*2π)/6142 weeks
320-18.36056 -3.52687 (320*2π)/6142 weeks
32114.77498 -4.07422 (321*2π)/6142 weeks
322-9.96519 2.56322 (322*2π)/6142 weeks
32311.57189 -6.03309 (323*2π)/6142 weeks
324-6.41025 6.61288 (324*2π)/6142 weeks
3254.32647 -7.16736 (325*2π)/6142 weeks
326-.37866 5.59813 (326*2π)/6142 weeks
3271.41763 -2.6232 (327*2π)/6142 weeks
328-2.74938 1.68726 (328*2π)/6142 weeks
329-.27935 -5.71843 (329*2π)/6142 weeks
3302.05654 -1.62525 (330*2π)/6142 weeks
3313.82282 1.53463 (331*2π)/6142 weeks
332-2.21106 -2.00885 (332*2π)/6142 weeks
3338.33944 .33548 (333*2π)/6142 weeks
334-6.91584 1.62374 (334*2π)/6142 weeks
3358.75206 -3.68599 (335*2π)/6142 weeks
336-8.87771 7.14727 (336*2π)/6142 weeks
3376.73032 -10.44223 (337*2π)/6142 weeks
338-4.14161 8.3539 (338*2π)/6142 weeks
3396.89295 -15.09226 (339*2π)/6142 weeks
3401.62184 15.47175 (340*2π)/6142 weeks
341-1.98559 -14.4025 (341*2π)/6142 weeks
3428.10414 15.0676 (342*2π)/6142 weeks
343-7.33339 -12.35356 (343*2π)/6142 weeks
34412.58674 11.63402 (344*2π)/6142 weeks
345-14.73397 -9.19524 (345*2π)/6142 weeks
34616.38909 2.7177 (346*2π)/6142 weeks
347-13.08255 -3.13336 (347*2π)/6142 weeks
34818.276 -1.36531 (348*2π)/6142 weeks
349-12.64651 6.01528 (349*2π)/6142 weeks
35013.83233 -5.77935 (350*2π)/6142 weeks
351-9.75479 9.81397 (351*2π)/6142 weeks
3529.3694 -10.31039 (352*2π)/6142 weeks
353-5.81342 11.949 (353*2π)/6142 weeks
3542.35649 -12.5296 (354*2π)/6142 weeks
355.02736 9.28044 (355*2π)/6142 weeks
3563.13318 -9.31986 (356*2π)/6142 weeks
3573.60507 11.85987 (357*2π)/6142 weeks
358-.85282 -7.43929 (358*2π)/6142 weeks
3592.75725 8.60817 (359*2π)/6142 weeks
360-3.54256 -8.25436 (360*2π)/6142 weeks
3613.82349 8.34117 (361*2π)/6142 weeks
362-5.01536 -7.2559 (362*2π)/6142 weeks
3636.34367 5.19701 (363*2π)/6142 weeks
364-3.12546 -8.4294 (364*2π)/6142 weeks
36510.11981 7.03414 (365*2π)/6142 weeks
366-7.0935 -3.4042 (366*2π)/6142 weeks
3678.01268 6.96603 (367*2π)/6142 weeks
368-11.43781 -4.58086 (368*2π)/6142 weeks
36913.83858 2.39689 (369*2π)/6142 weeks
370-13.75585 1.28042 (370*2π)/6142 weeks
37111.64265 -6.03466 (371*2π)/6142 weeks
372-10.32314 3.17775 (372*2π)/6142 weeks
37313.66689 -7.8732 (373*2π)/6142 weeks
374-7.90983 13.31833 (374*2π)/6142 weeks
3755.42208 -10.68735 (375*2π)/6142 weeks
376-4.41072 13.16072 (376*2π)/6142 weeks
3771.01296 -13.931 (377*2π)/6142 weeks
3781.51444 13.48468 (378*2π)/6142 weeks
379-6.06204 -14.18433 (379*2π)/6142 weeks
3807.32912 8.69234 (380*2π)/6142 weeks
381-6.94517 -10.37909 (381*2π)/6142 weeks
38213.10426 8.38975 (382*2π)/6142 weeks
383-11.21665 -2.22086 (383*2π)/6142 weeks
3849.78155 1.54281 (384*2π)/6142 weeks
385-10.88759 -2.20383 (385*2π)/6142 weeks
38610.0463 -2.77074 (386*2π)/6142 weeks
387-10.6113 2.01933 (387*2π)/6142 weeks
3887.41335 -7.01121 (388*2π)/6142 weeks
389-4.3073 3.05401 (389*2π)/6142 weeks
3908.15257 -6.07616 (390*2π)/6142 weeks
391-2.75675 6.7055 (391*2π)/6142 weeks
392.99167 -4.96744 (392*2π)/6142 weeks
393-3.51985 3.56025 (393*2π)/6142 weeks
3942.43663 -5.93502 (394*2π)/6142 weeks
395-.76041 2.92191 (395*2π)/6142 weeks
3962.28422 -6.32792 (396*2π)/6142 weeks
397-1.34611 1.86651 (397*2π)/6142 weeks
3984.74833 -7.70643 (398*2π)/6142 weeks
3992.04351 8.64486 (399*2π)/6142 weeks
400-.7539 -5.44097 (400*2π)/6142 weeks
4011.15465 6.61049 (401*2π)/6142 weeks
402-3.76038 -10.396 (402*2π)/6142 weeks
4037.3236 4.97049 (403*2π)/6142 weeks
404-6.94037 -5.95821 (404*2π)/6142 weeks
4059.40895 1.90457 (405*2π)/6142 weeks
406-6.91695 -4.86064 (406*2π)/6142 weeks
40715.29741 -.56857 (407*2π)/6142 weeks
408-9.95886 6.19645 (408*2π)/6142 weeks
4098.14972 -6.47565 (409*2π)/6142 weeks
410-7.70796 5.93658 (410*2π)/6141 weeks
4118.03383 -13.30835 (411*2π)/6141 weeks
412-1.41799 11.81611 (412*2π)/6141 weeks
413-.30203 -13.79716 (413*2π)/6141 weeks
4146.55125 9.63438 (414*2π)/6141 weeks
415-1.59592 -10.54489 (415*2π)/6141 weeks
41610.92066 10.79268 (416*2π)/6141 weeks
417-11.37781 -5.01299 (417*2π)/6141 weeks
4189.78656 2.23697 (418*2π)/6141 weeks
419-10.2226 -2.67382 (419*2π)/6141 weeks
42014.7513 -2.68673 (420*2π)/6141 weeks
421-8.50347 4.60082 (421*2π)/6141 weeks
4229.86697 -11.20605 (422*2π)/6141 weeks
423-1.53841 8.61544 (423*2π)/6141 weeks
4244.52261 -7.45228 (424*2π)/6141 weeks
4251.67824 13.47461 (425*2π)/6141 weeks
426-4.27776 -9.42294 (426*2π)/6141 weeks
4277.45349 5.22882 (427*2π)/6141 weeks
428-7.43622 -6.89099 (428*2π)/6141 weeks
42911.35969 2.4194 (429*2π)/6141 weeks
430-8.86075 1.24315 (430*2π)/6141 weeks
43112.18567 -3.71188 (431*2π)/6141 weeks
432-4.6155 7.40573 (432*2π)/6141 weeks
4336.80529 -5.42547 (433*2π)/6141 weeks
434-5.65676 10.4513 (434*2π)/6141 weeks
435-1.38411 -10.2891 (435*2π)/6141 weeks
4361.87546 6.73339 (436*2π)/6141 weeks
437-1.44613 -8.81209 (437*2π)/6141 weeks
4386.55639 5.78829 (438*2π)/6141 weeks
439-5.72443 -4.4739 (439*2π)/6141 weeks
4408.29495 1.40405 (440*2π)/6141 weeks
441-3.65967 2.86262 (441*2π)/6141 weeks
4422.70866 .52893 (442*2π)/6141 weeks
443-5.50458 1.93856 (443*2π)/6141 weeks
444.00306 -4.70439 (444*2π)/6141 weeks
4451.19263 -.19857 (445*2π)/6141 weeks
4461.22621 -1.67978 (446*2π)/6141 weeks
4471.63749 .47397 (447*2π)/6141 weeks
448-1.05232 .0337 (448*2π)/6141 weeks
4492.32335 -1.97464 (449*2π)/6141 weeks
450-.07349 5.51125 (450*2π)/6141 weeks
451-5.28061 -2.60191 (451*2π)/6141 weeks
452.58516 -.00723 (452*2π)/6141 weeks
453-3.96415 -6.87252 (453*2π)/6141 weeks
4548.33768 -.28386 (454*2π)/6141 weeks
455-6.7681 -.16308 (455*2π)/6141 weeks
4568.55676 -3.45911 (456*2π)/6141 weeks
457-6.32393 3.80682 (457*2π)/6141 weeks
4589.23545 -6.73805 (458*2π)/6141 weeks
459-7.90589 11.11599 (459*2π)/6141 weeks
460.20305 -15.62399 (460*2π)/6141 weeks
461-.58975 9.3843 (461*2π)/6141 weeks
462-1.73109 -17.13433 (462*2π)/6141 weeks
4639.50725 13.62115 (463*2π)/6141 weeks
464-9.41272 -13.39839 (464*2π)/6141 weeks
46515.65057 8.50973 (465*2π)/6141 weeks
466-16.48867 -8.67777 (466*2π)/6141 weeks
46719.39033 3.45345 (467*2π)/6141 weeks
468-23.09013 2.02035 (468*2π)/6141 weeks
46918.84691 -11.14309 (469*2π)/6141 weeks
470-13.83659 6.59297 (470*2π)/6141 weeks
47119.67785 -16.65702 (471*2π)/6141 weeks
472-10.25861 17.66949 (472*2π)/6141 weeks
4738.19627 -21.40766 (473*2π)/6141 weeks
474-1.24309 21.09357 (474*2π)/6141 weeks
475-.20551 -21.04162 (475*2π)/6141 weeks
4765.12928 19.94191 (476*2π)/6141 weeks
477-12.08846 -22.87242 (477*2π)/6141 weeks
47815.44268 10.71323 (478*2π)/6141 weeks
479-12.82045 -15.20734 (479*2π)/6141 weeks
48023.76491 8.28579 (480*2π)/6141 weeks
481-19.56482 -3.21352 (481*2π)/6141 weeks
48222.37304 -3.27013 (482*2π)/6141 weeks
483-18.08668 7.37696 (483*2π)/6141 weeks
48416.5279 -11.48903 (484*2π)/6141 weeks
485-14.27505 12.30878 (485*2π)/6141 weeks
48610.24072 -21.85852 (486*2π)/6141 weeks
487-2.62223 14.41689 (487*2π)/6141 weeks
4886.66349 -20.99383 (488*2π)/6141 weeks
4897.39529 22.7356 (489*2π)/6141 weeks
490-6.71569 -17.5094 (490*2π)/6141 weeks
49114.16441 14.85307 (491*2π)/6141 weeks
492-14.60148 -12.2355 (492*2π)/6141 weeks
49315.74633 8.1042 (493*2π)/6141 weeks
494-18.71324 -5.47874 (494*2π)/6141 weeks
49519.27966 -3.33868 (495*2π)/6141 weeks
496-10.83847 -.77714 (496*2π)/6141 weeks
49722.42845 -5.16823 (497*2π)/6141 weeks
498-14.94006 14.30708 (498*2π)/6141 weeks
4998.12951 -16.02912 (499*2π)/6141 weeks
500-2.18155 14.92619 (500*2π)/6141 weeks
5011.62104 -11.96599 (501*2π)/6141 weeks
502-1.8937 12.71948 (502*2π)/6141 weeks
503-4.59294 -19.87845 (503*2π)/6141 weeks
50413.81237 10.04086 (504*2π)/6141 weeks
505-7.18823 -6.3987 (505*2π)/6141 weeks
50614.12276 8.72019 (506*2π)/6141 weeks
507-14.35474 -1.44615 (507*2π)/6141 weeks
50813.44846 -1.52368 (508*2π)/6141 weeks
509-12.6149 5.98723 (509*2π)/6141 weeks
5107.07217 -7.13934 (510*2π)/6141 weeks
511-8.92604 5.10394 (511*2π)/6141 weeks
5127.24695 -13.64256 (512*2π)/6141 weeks
5132.24422 9.95605 (513*2π)/6141 weeks
514.73833 -6.80301 (514*2π)/6141 weeks
5151.60316 10.18197 (515*2π)/6141 weeks
516-7.26137 -7.76596 (516*2π)/6141 weeks
5175.62791 3.62271 (517*2π)/6141 weeks
518-9.59341 -3.8147 (518*2π)/6141 weeks
5195.56026 -2.47439 (519*2π)/6141 weeks
520-7.21746 -3.47688 (520*2π)/6141 weeks
52112.18571 -6.45484 (521*2π)/6141 weeks
522-3.45222 6.78675 (522*2π)/6141 weeks
5233.60098 -5.40983 (523*2π)/6141 weeks
524-6.08834 7.9067 (524*2π)/6141 weeks
525-1.3042 -9.57678 (525*2π)/6141 weeks
526-1.98027 5.23576 (526*2π)/6141 weeks
527-2.3951 -12.08921 (527*2π)/6141 weeks
5282.74113 2.75421 (528*2π)/6141 weeks
529-2.95927 -11.4234 (529*2π)/6141 weeks
5308.66056 3.08014 (530*2π)/6141 weeks
531-2.94502 -2.2747 (531*2π)/6141 weeks
5323.7603 5.70598 (532*2π)/6141 weeks
533-11.30963 -5.7334 (533*2π)/6141 weeks
5345.72345 -6.78724 (534*2π)/6141 weeks
535-5.36973 -4.63416 (535*2π)/6141 weeks
5365.12769 -4.8468 (536*2π)/6141 weeks
537-6.28242 -4.91874 (537*2π)/6141 weeks
53813.65061 -9.38763 (538*2π)/6141 weeks
539.47284 7.24915 (539*2π)/6141 weeks
5402.90832 -4.60116 (540*2π)/6141 weeks
541-8.09078 3.94558 (541*2π)/6141 weeks
542.04174 -14.30561 (542*2π)/6141 weeks
543.43414 2.94685 (543*2π)/6141 weeks
5441.96526 -12.79119 (544*2π)/6141 weeks
5453.05191 2.80995 (545*2π)/6141 weeks
5462.36662 -16.95174 (546*2π)/6141 weeks
54713.11411 7.33479 (547*2π)/6141 weeks
548-4.86418 -2.77244 (548*2π)/6141 weeks
5493.05774 6.87337 (549*2π)/6141 weeks
550-11.71442 -11.37209 (550*2π)/6141 weeks
55112.37514 -5.25805 (551*2π)/6141 weeks
552-7.85533 -4.1609 (552*2π)/6141 weeks
5539.46564 -9.94238 (553*2π)/6141 weeks
554.21113 -2.35232 (554*2π)/6141 weeks
55512.691 -5.62481 (555*2π)/6141 weeks
5561.67933 6.60196 (556*2π)/6141 weeks
5573.75527 -2.25756 (557*2π)/6141 weeks
558-7.02574 4.84323 (558*2π)/6141 weeks
559-1.84734 -16.08847 (559*2π)/6141 weeks
5607.56341 -.27225 (560*2π)/6141 weeks
561-.11298 -8.75001 (561*2π)/6141 weeks
5629.79921 -1.5108 (562*2π)/6141 weeks
5631.6502 -5.80515 (563*2π)/6141 weeks
56414.10667 1.21506 (564*2π)/6141 weeks
565-2.51975 8.49865 (565*2π)/6141 weeks
566-1.77135 -2.25058 (566*2π)/6141 weeks
567-4.96945 -1.50719 (567*2π)/6141 weeks
568-.21358 -13.58712 (568*2π)/6141 weeks
56912.62825 -2.73032 (569*2π)/6141 weeks
570-.15422 -1.12599 (570*2π)/6141 weeks
57111.35007 -4.41994 (571*2π)/6141 weeks
572.03657 3.58657 (572*2π)/6141 weeks
57314.6584 -1.94925 (573*2π)/6141 weeks
574-10.42548 22.48755 (574*2π)/6141 weeks
575-10.08378 -18.32396 (575*2π)/6141 weeks
5761.5326 5.05978 (576*2π)/6141 weeks
577-.10101 -24.01611 (577*2π)/6141 weeks
57819.17729 15.00914 (578*2π)/6141 weeks
579-17.06656 -12.73041 (579*2π)/6141 weeks
58024.70157 4.42714 (580*2π)/6141 weeks
581-15.41996 4.05549 (581*2π)/6141 weeks
58220.13908 5.79505 (582*2π)/6141 weeks
583-33.97767 12.74627 (583*2π)/6141 weeks
5842.93334 -28.23237 (584*2π)/6141 weeks
585-7.74621 -3.19659 (585*2π)/6141 weeks
58622.59807 -18.41364 (586*2π)/6141 weeks
587-9.78361 23.10437 (587*2π)/6141 weeks
5885.9175 -29.83602 (588*2π)/6141 weeks
5898.02673 25.15827 (589*2π)/6141 weeks
590-9.83481 -15.8795 (590*2π)/6141 weeks
591-2.78763 30.03889 (591*2π)/6141 weeks
592-44.19104 -27.17913 (592*2π)/6141 weeks
59315.07336 -21.57282 (593*2π)/6141 weeks
594-.46757 -21.22788 (594*2π)/6141 weeks
59521.48554 5.49467 (595*2π)/6141 weeks
596-23.57105 -2.03534 (596*2π)/6141 weeks
5979.3198 -13.09899 (597*2π)/6141 weeks
598.91443 .61535 (598*2π)/6141 weeks
599-8.61706 24.71045 (599*2π)/6141 weeks
600-67.43147 -21.3998 (600*2π)/6141 weeks
601-.73228 -62.44499 (601*2π)/6141 weeks
60211.44785 -35.3355 (602*2π)/6141 weeks
60327.97417 -2.69399 (603*2π)/6141 weeks
604-32.70808 -20.74863 (604*2π)/6141 weeks
60544.70247 -38.59623 (605*2π)/6141 weeks
606-24.14393 25.62077 (606*2π)/6141 weeks
607-9.67069 -27.20079 (607*2π)/6141 weeks
608-82.47051 -2.57635 (608*2π)/6141 weeks
609-28.62732 -137.8773 (609*2π)/6141 weeks
610-25.21188 -100.1796 (610*2π)/6141 weeks
611132.7281 -228.3463 (611*2π)/6141 weeks
612111.9502 105.7885 (612*2π)/6141 weeks



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