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# Fourier Analysis of TWGP (Tower Group International, Ltd.)

TWGP (Tower Group International, Ltd.) appears to have interesting cyclic behaviour every 40 weeks (.6187*sine), 25 weeks (.5304*cosine), and 21 weeks (.4378*cosine).

TWGP (Tower Group International, Ltd.) has an average price of 18.7 (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.

## Fourier Analysis

Using data from 10/21/2004 to 9/15/2014 for TWGP (Tower Group International, Ltd.), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
018.70236   0
1-5.80537 2.97067 (1*2π)/518518 weeks
2-5.75928 1.56665 (2*2π)/518259 weeks
3-2.41141 -.31065 (3*2π)/518173 weeks
4-.33955 .52223 (4*2π)/518130 weeks
5-.03544 1.70207 (5*2π)/518104 weeks
6.8928 .76395 (6*2π)/51886 weeks
7.31023 1.28736 (7*2π)/51874 weeks
8.57746 -.27997 (8*2π)/51865 weeks
9.4546 -.51295 (9*2π)/51858 weeks
10-.31933 .12429 (10*2π)/51852 weeks
11-.40266 -.40911 (11*2π)/51847 weeks
12-.21824 .24269 (12*2π)/51843 weeks
13-.14944 .61874 (13*2π)/51840 weeks
14-.32427 .39444 (14*2π)/51837 weeks
15.00565 .43028 (15*2π)/51835 weeks
16.51174 .29782 (16*2π)/51832 weeks
17-.04504 .12148 (17*2π)/51830 weeks
18.10421 -.23101 (18*2π)/51829 weeks
19.45817 -.186 (19*2π)/51827 weeks
20-.13509 .30793 (20*2π)/51826 weeks
21-.53037 .00932 (21*2π)/51825 weeks
22-.26702 .20597 (22*2π)/51824 weeks
23-.16855 .21384 (23*2π)/51823 weeks
24.06259 -.06546 (24*2π)/51822 weeks
25.43785 -.30811 (25*2π)/51821 weeks
26.43619 .39796 (26*2π)/51820 weeks
27-.05521 .19548 (27*2π)/51819 weeks
28-.05535 -.17955 (28*2π)/51819 weeks
29-.18473 .11399 (29*2π)/51818 weeks
30.1194 .11117 (30*2π)/51817 weeks
31.04799 .25854 (31*2π)/51817 weeks
32-.38499 -.04666 (32*2π)/51816 weeks
33.08016 .08478 (33*2π)/51816 weeks
34-.08552 .21672 (34*2π)/51815 weeks
35.11556 .01808 (35*2π)/51815 weeks
36.08351 .17241 (36*2π)/51814 weeks
37-.09081 -.12244 (37*2π)/51814 weeks
38-.03493 .04125 (38*2π)/51814 weeks
39-.15792 -.02455 (39*2π)/51813 weeks
40.05353 .00434 (40*2π)/51813 weeks
41.14512 .02566 (41*2π)/51813 weeks
42-.01963 -.02262 (42*2π)/51812 weeks
43-.14242 .0791 (43*2π)/51812 weeks
44.07312 .05081 (44*2π)/51812 weeks
45.00439 .05907 (45*2π)/51812 weeks
46-.00069 -.05153 (46*2π)/51811 weeks
47.07165 .03199 (47*2π)/51811 weeks
48.05452 .18618 (48*2π)/51811 weeks
49.00136 .14887 (49*2π)/51811 weeks
50.09544 -.11452 (50*2π)/51810 weeks
51.0802 .05995 (51*2π)/51810 weeks
52-.08409 .08012 (52*2π)/51810 weeks
53-.17974 .05735 (53*2π)/51810 weeks
54-.09448 -.04993 (54*2π)/51810 weeks
55.00412 -.06767 (55*2π)/5189 weeks
56.14913 .04319 (56*2π)/5189 weeks
57.03172 .18033 (57*2π)/5189 weeks
58.02806 .08691 (58*2π)/5189 weeks
59-.03459 -.10426 (59*2π)/5189 weeks
60.1033 -.0424 (60*2π)/5189 weeks
61.06867 .08154 (61*2π)/5188 weeks
62-.09503 .04407 (62*2π)/5188 weeks
63.02464 -.08121 (63*2π)/5188 weeks
64-.10444 .13739 (64*2π)/5188 weeks
65.05047 .00056 (65*2π)/5188 weeks
66.11405 .0603 (66*2π)/5188 weeks
67-.01902 .15683 (67*2π)/5188 weeks
68.08216 -.02262 (68*2π)/5188 weeks
69.02243 .00021 (69*2π)/5188 weeks
70-.12891 -.02307 (70*2π)/5187 weeks
71.03935 .05107 (71*2π)/5187 weeks
72-.04056 .0245 (72*2π)/5187 weeks
73-.08213 -.07794 (73*2π)/5187 weeks
74.11149 .09056 (74*2π)/5187 weeks
75.07187 -.01165 (75*2π)/5187 weeks
76.05857 .05297 (76*2π)/5187 weeks
77.01449 .05244 (77*2π)/5187 weeks
78.05216 -.07707 (78*2π)/5187 weeks
79.00029 .12447 (79*2π)/5187 weeks
80-.1002 -.11243 (80*2π)/5186 weeks
81.13071 .06465 (81*2π)/5186 weeks
82-.13642 .19046 (82*2π)/5186 weeks
83.04316 -.12174 (83*2π)/5186 weeks
84.01601 .11991 (84*2π)/5186 weeks
85-.03279 -.00547 (85*2π)/5186 weeks
86.06904 -.00313 (86*2π)/5186 weeks
87-.00777 -.10006 (87*2π)/5186 weeks
88.08766 .02479 (88*2π)/5186 weeks
89-.0833 -.04215 (89*2π)/5186 weeks
90-.00619 .01759 (90*2π)/5186 weeks
91.01255 .05967 (91*2π)/5186 weeks
92.05211 .06141 (92*2π)/5186 weeks
93-.06592 .03145 (93*2π)/5186 weeks
94.07963 -.03526 (94*2π)/5186 weeks
95.07935 .04935 (95*2π)/5185 weeks
96-.03065 -.04825 (96*2π)/5185 weeks
97.04475 -.06925 (97*2π)/5185 weeks
98-.06901 .04262 (98*2π)/5185 weeks
99.05605 .0411 (99*2π)/5185 weeks
100.08457 -.03886 (100*2π)/5185 weeks
101.03381 .10278 (101*2π)/5185 weeks
102-.06132 .05995 (102*2π)/5185 weeks
103.08161 -.04152 (103*2π)/5185 weeks
104-.01963 .08268 (104*2π)/5185 weeks
105-.01982 -.09883 (105*2π)/5185 weeks
106.07074 .02288 (106*2π)/5185 weeks
107-.04826 .09988 (107*2π)/5185 weeks
108.00667 -.05568 (108*2π)/5185 weeks
109-.00643 .08607 (109*2π)/5185 weeks
110-.00841 -.00498 (110*2π)/5185 weeks
111.07341 .05711 (111*2π)/5185 weeks
112-.04708 .07544 (112*2π)/5185 weeks
113.07551 -.06487 (113*2π)/5185 weeks
114.00588 .05159 (114*2π)/5185 weeks
115-.00654 -.07252 (115*2π)/5185 weeks
116.03777 .06122 (116*2π)/5184 weeks
117-.05318 .01259 (117*2π)/5184 weeks
118.06809 .0491 (118*2π)/5184 weeks
119.01783 .08666 (119*2π)/5184 weeks
120-.07978 .0391 (120*2π)/5184 weeks
121-.04277 .02809 (121*2π)/5184 weeks
122-.01476 -.0687 (122*2π)/5184 weeks
123.02607 -.03245 (123*2π)/5184 weeks
124.07514 -.06291 (124*2π)/5184 weeks
125.0487 .09182 (125*2π)/5184 weeks
126-.0817 .02226 (126*2π)/5184 weeks
127.01728 -.01115 (127*2π)/5184 weeks
128.02559 -.01644 (128*2π)/5184 weeks
129.00895 -.02168 (129*2π)/5184 weeks
130.01314 .04751 (130*2π)/5184 weeks
131-.01204 .01811 (131*2π)/5184 weeks
132-.04551 .09001 (132*2π)/5184 weeks
133-.03517 -.07865 (133*2π)/5184 weeks
134.04877 -.03045 (134*2π)/5184 weeks
135.04066 -.02126 (135*2π)/5184 weeks
136.05358 .05003 (136*2π)/5184 weeks
137.02056 .03281 (137*2π)/5184 weeks
138-.01297 .01375 (138*2π)/5184 weeks
139-.0411 -.05875 (139*2π)/5184 weeks
140.01436 .05307 (140*2π)/5184 weeks
141-.03249 -.01914 (141*2π)/5184 weeks
142.04099 .00584 (142*2π)/5184 weeks
143-.0292 .03755 (143*2π)/5184 weeks
144.05492 -.0355 (144*2π)/5184 weeks
145.07387 .02382 (145*2π)/5184 weeks
146-.01861 .0498 (146*2π)/5184 weeks
147-.01356 -.11029 (147*2π)/5184 weeks
148.03609 .00518 (148*2π)/5184 weeks
149-.0146 .06895 (149*2π)/5183 weeks
150-.02017 .03079 (150*2π)/5183 weeks
151-.01123 .00034 (151*2π)/5183 weeks
152.00607 .00139 (152*2π)/5183 weeks
153.04049 -.00233 (153*2π)/5183 weeks
154.03603 -.05282 (154*2π)/5183 weeks
155.06961 .02972 (155*2π)/5183 weeks
156-.00577 -.04169 (156*2π)/5183 weeks
157.04511 -.03178 (157*2π)/5183 weeks
158-.04237 .08261 (158*2π)/5183 weeks
159-.07498 .03826 (159*2π)/5183 weeks
160.04247 .02354 (160*2π)/5183 weeks
161-.03305 -.00907 (161*2π)/5183 weeks
162.05795 -.00271 (162*2π)/5183 weeks
163.08564 -.0006 (163*2π)/5183 weeks
164.04553 -.01284 (164*2π)/5183 weeks
165.00389 .04163 (165*2π)/5183 weeks
166-.0618 -.05618 (166*2π)/5183 weeks
167-.01886 -.08769 (167*2π)/5183 weeks
168.0214 .07727 (168*2π)/5183 weeks
169.0472 .03348 (169*2π)/5183 weeks
170-.01959 .04858 (170*2π)/5183 weeks
171-.00715 -.00268 (171*2π)/5183 weeks
172.08069 .01841 (172*2π)/5183 weeks
173.00651 -.0195 (173*2π)/5183 weeks
174.06653 -.03245 (174*2π)/5183 weeks
175.0012 -.03282 (175*2π)/5183 weeks
176.01595 .00634 (176*2π)/5183 weeks
177-.01111 .03072 (177*2π)/5183 weeks
178-.02474 .02735 (178*2π)/5183 weeks
179.04977 .0335 (179*2π)/5183 weeks
180-.00609 .04807 (180*2π)/5183 weeks
181-.00397 -.06911 (181*2π)/5183 weeks
182.08773 .04152 (182*2π)/5183 weeks
183-.03557 .01294 (183*2π)/5183 weeks
184.06764 -.05143 (184*2π)/5183 weeks
185-.0342 .05503 (185*2π)/5183 weeks
186-.05299 -.06384 (186*2π)/5183 weeks
187.04123 -.00153 (187*2π)/5183 weeks
188.05816 .04672 (188*2π)/5183 weeks
189-.03011 .03509 (189*2π)/5183 weeks
190-.0484 .05188 (190*2π)/5183 weeks
191.06834 -.04264 (191*2π)/5183 weeks
192.05894 -.00004 (192*2π)/5183 weeks
193.01729 -.01424 (193*2π)/5183 weeks
194-.04626 -.0396 (194*2π)/5183 weeks
195-.00169 -.03526 (195*2π)/5183 weeks
196.00268 .05541 (196*2π)/5183 weeks
197.01624 -.02732 (197*2π)/5183 weeks
198.05188 -.01037 (198*2π)/5183 weeks
199-.0059 .06368 (199*2π)/5183 weeks
200.0092 -.02971 (200*2π)/5183 weeks
201.07355 .00067 (201*2π)/5183 weeks
202-.02493 .00238 (202*2π)/5183 weeks
203.03166 -.03958 (203*2π)/5183 weeks
204.05939 .05308 (204*2π)/5183 weeks
205.02492 .01757 (205*2π)/5183 weeks
206.01998 .01974 (206*2π)/5183 weeks
207-.01572 -.02464 (207*2π)/5183 weeks
208.00782 -.03329 (208*2π)/5182 weeks
209-.0047 .07117 (209*2π)/5182 weeks
210.03133 -.02554 (210*2π)/5182 weeks
211.01614 .06088 (211*2π)/5182 weeks
212.03551 -.00067 (212*2π)/5182 weeks
213.03006 .0283 (213*2π)/5182 weeks
214-.06521 .04646 (214*2π)/5182 weeks
215.01687 .01082 (215*2π)/5182 weeks
216-.0035 -.01695 (216*2π)/5182 weeks
217.00267 -.06321 (217*2π)/5182 weeks
218.02952 -.03743 (218*2π)/5182 weeks
219.01463 .02649 (219*2π)/5182 weeks
220-.0022 -.00939 (220*2π)/5182 weeks
221.02283 .0664 (221*2π)/5182 weeks
222.00894 .02277 (222*2π)/5182 weeks
223-.02345 .02045 (223*2π)/5182 weeks
224.03778 -.04905 (224*2π)/5182 weeks
225.07161 -.00082 (225*2π)/5182 weeks
226.01977 -.00943 (226*2π)/5182 weeks
227.00895 -.02562 (227*2π)/5182 weeks
228-.07206 .04028 (228*2π)/5182 weeks
229.02672 .01233 (229*2π)/5182 weeks
230.02313 .01115 (230*2π)/5182 weeks
231-.00127 -.04453 (231*2π)/5182 weeks
232.05029 .01441 (232*2π)/5182 weeks
233.04396 .02253 (233*2π)/5182 weeks
234.01796 -.03106 (234*2π)/5182 weeks
235-.00538 .03965 (235*2π)/5182 weeks
236.01157 -.02347 (236*2π)/5182 weeks
237-.02609 .03056 (237*2π)/5182 weeks
238.00206 -.03032 (238*2π)/5182 weeks
239.04755 -.0155 (239*2π)/5182 weeks
240-.01824 .0317 (240*2π)/5182 weeks
241.04522 .02053 (241*2π)/5182 weeks
242.0433 .07964 (242*2π)/5182 weeks
243.01126 -.02071 (243*2π)/5182 weeks
244-.04475 -.05887 (244*2π)/5182 weeks
245.00401 -.05441 (245*2π)/5182 weeks
246.02114 .00289 (246*2π)/5182 weeks
247.04138 .03005 (247*2π)/5182 weeks
248-.02839 .03829 (248*2π)/5182 weeks
249-.0232 .02123 (249*2π)/5182 weeks
250.013 -.03439 (250*2π)/5182 weeks
251.04993 -.04964 (251*2π)/5182 weeks
252.05172 .02943 (252*2π)/5182 weeks
253-.00549 -.032 (253*2π)/5182 weeks
254.02515 -.03102 (254*2π)/5182 weeks
255.01103 .0456 (255*2π)/5182 weeks
256.00305 -.01887 (256*2π)/5182 weeks
257.00982 -.00574 (257*2π)/5182 weeks
258-.01067 .02153 (258*2π)/5182 weeks
259.0709   (259*2π)/5182 weeks
260-.01067 -.02153 (260*2π)/5182 weeks
261.00982 .00574 (261*2π)/5182 weeks
262.00305 .01887 (262*2π)/5182 weeks
263.01103 -.0456 (263*2π)/5182 weeks
264.02515 .03102 (264*2π)/5182 weeks
265-.00549 .032 (265*2π)/5182 weeks
266.05172 -.02943 (266*2π)/5182 weeks
267.04993 .04964 (267*2π)/5182 weeks
268.013 .03439 (268*2π)/5182 weeks
269-.0232 -.02123 (269*2π)/5182 weeks
270-.02839 -.03829 (270*2π)/5182 weeks
271.04138 -.03005 (271*2π)/5182 weeks
272.02114 -.00289 (272*2π)/5182 weeks
273.00401 .05441 (273*2π)/5182 weeks
274-.04475 .05887 (274*2π)/5182 weeks
275.01126 .02071 (275*2π)/5182 weeks
276.0433 -.07964 (276*2π)/5182 weeks
277.04522 -.02053 (277*2π)/5182 weeks
278-.01824 -.0317 (278*2π)/5182 weeks
279.04755 .0155 (279*2π)/5182 weeks
280.00206 .03032 (280*2π)/5182 weeks
281-.02609 -.03056 (281*2π)/5182 weeks
282.01157 .02347 (282*2π)/5182 weeks
283-.00538 -.03965 (283*2π)/5182 weeks
284.01796 .03106 (284*2π)/5182 weeks
285.04396 -.02253 (285*2π)/5182 weeks
286.05029 -.01441 (286*2π)/5182 weeks
287-.00127 .04453 (287*2π)/5182 weeks
288.02313 -.01115 (288*2π)/5182 weeks
289.02672 -.01233 (289*2π)/5182 weeks
290-.07206 -.04028 (290*2π)/5182 weeks
291.00895 .02562 (291*2π)/5182 weeks
292.01977 .00943 (292*2π)/5182 weeks
293.07161 .00082 (293*2π)/5182 weeks
294.03778 .04905 (294*2π)/5182 weeks
295-.02345 -.02045 (295*2π)/5182 weeks
296.00894 -.02277 (296*2π)/5182 weeks
297.02283 -.0664 (297*2π)/5182 weeks
298-.0022 .00939 (298*2π)/5182 weeks
299.01463 -.02649 (299*2π)/5182 weeks
300.02952 .03743 (300*2π)/5182 weeks
301.00267 .06321 (301*2π)/5182 weeks
302-.0035 .01695 (302*2π)/5182 weeks
303.01687 -.01082 (303*2π)/5182 weeks
304-.06521 -.04646 (304*2π)/5182 weeks
305.03006 -.0283 (305*2π)/5182 weeks
306.03551 .00067 (306*2π)/5182 weeks
307.01614 -.06088 (307*2π)/5182 weeks
308.03133 .02554 (308*2π)/5182 weeks
309-.0047 -.07117 (309*2π)/5182 weeks
310.00782 .03329 (310*2π)/5182 weeks
311-.01572 .02464 (311*2π)/5182 weeks
312.01998 -.01974 (312*2π)/5182 weeks
313.02492 -.01757 (313*2π)/5182 weeks
314.05939 -.05308 (314*2π)/5182 weeks
315.03166 .03958 (315*2π)/5182 weeks
316-.02493 -.00238 (316*2π)/5182 weeks
317.07355 -.00067 (317*2π)/5182 weeks
318.0092 .02971 (318*2π)/5182 weeks
319-.0059 -.06368 (319*2π)/5182 weeks
320.05188 .01037 (320*2π)/5182 weeks
321.01624 .02732 (321*2π)/5182 weeks
322.00268 -.05541 (322*2π)/5182 weeks
323-.00169 .03526 (323*2π)/5182 weeks
324-.04626 .0396 (324*2π)/5182 weeks
325.01729 .01424 (325*2π)/5182 weeks
326.05894 .00004 (326*2π)/5182 weeks
327.06834 .04264 (327*2π)/5182 weeks
328-.0484 -.05188 (328*2π)/5182 weeks
329-.03011 -.03509 (329*2π)/5182 weeks
330.05816 -.04672 (330*2π)/5182 weeks
331.04123 .00153 (331*2π)/5182 weeks
332-.05299 .06384 (332*2π)/5182 weeks
333-.0342 -.05503 (333*2π)/5182 weeks
334.06764 .05143 (334*2π)/5182 weeks
335-.03557 -.01294 (335*2π)/5182 weeks
336.08773 -.04152 (336*2π)/5182 weeks
337-.00397 .06911 (337*2π)/5182 weeks
338-.00609 -.04807 (338*2π)/5182 weeks
339.04977 -.0335 (339*2π)/5182 weeks
340-.02474 -.02735 (340*2π)/5182 weeks
341-.01111 -.03072 (341*2π)/5182 weeks
342.01595 -.00634 (342*2π)/5182 weeks
343.0012 .03282 (343*2π)/5182 weeks
344.06653 .03245 (344*2π)/5182 weeks
345.00651 .0195 (345*2π)/5182 weeks
346.08069 -.01841 (346*2π)/5181 weeks
347-.00715 .00268 (347*2π)/5181 weeks
348-.01959 -.04858 (348*2π)/5181 weeks
349.0472 -.03348 (349*2π)/5181 weeks
350.0214 -.07727 (350*2π)/5181 weeks
351-.01886 .08769 (351*2π)/5181 weeks
352-.0618 .05618 (352*2π)/5181 weeks
353.00389 -.04163 (353*2π)/5181 weeks
354.04553 .01284 (354*2π)/5181 weeks
355.08564 .0006 (355*2π)/5181 weeks
356.05795 .00271 (356*2π)/5181 weeks
357-.03305 .00907 (357*2π)/5181 weeks
358.04247 -.02354 (358*2π)/5181 weeks
359-.07498 -.03826 (359*2π)/5181 weeks
360-.04237 -.08261 (360*2π)/5181 weeks
361.04511 .03178 (361*2π)/5181 weeks
362-.00577 .04169 (362*2π)/5181 weeks
363.06961 -.02972 (363*2π)/5181 weeks
364.03603 .05282 (364*2π)/5181 weeks
365.04049 .00233 (365*2π)/5181 weeks
366.00607 -.00139 (366*2π)/5181 weeks
367-.01123 -.00034 (367*2π)/5181 weeks
368-.02017 -.03079 (368*2π)/5181 weeks
369-.0146 -.06895 (369*2π)/5181 weeks
370.03609 -.00518 (370*2π)/5181 weeks
371-.01356 .11029 (371*2π)/5181 weeks
372-.01861 -.0498 (372*2π)/5181 weeks
373.07387 -.02382 (373*2π)/5181 weeks
374.05492 .0355 (374*2π)/5181 weeks
375-.0292 -.03755 (375*2π)/5181 weeks
376.04099 -.00584 (376*2π)/5181 weeks
377-.03249 .01914 (377*2π)/5181 weeks
378.01436 -.05307 (378*2π)/5181 weeks
379-.0411 .05875 (379*2π)/5181 weeks
380-.01297 -.01375 (380*2π)/5181 weeks
381.02056 -.03281 (381*2π)/5181 weeks
382.05358 -.05003 (382*2π)/5181 weeks
383.04066 .02126 (383*2π)/5181 weeks
384.04877 .03045 (384*2π)/5181 weeks
385-.03517 .07865 (385*2π)/5181 weeks
386-.04551 -.09001 (386*2π)/5181 weeks
387-.01204 -.01811 (387*2π)/5181 weeks
388.01314 -.04751 (388*2π)/5181 weeks
389.00895 .02168 (389*2π)/5181 weeks
390.02559 .01644 (390*2π)/5181 weeks
391.01728 .01115 (391*2π)/5181 weeks
392-.0817 -.02226 (392*2π)/5181 weeks
393.0487 -.09182 (393*2π)/5181 weeks
394.07514 .06291 (394*2π)/5181 weeks
395.02607 .03245 (395*2π)/5181 weeks
396-.01476 .0687 (396*2π)/5181 weeks
397-.04277 -.02809 (397*2π)/5181 weeks
398-.07978 -.0391 (398*2π)/5181 weeks
399.01783 -.08666 (399*2π)/5181 weeks
400.06809 -.0491 (400*2π)/5181 weeks
401-.05318 -.01259 (401*2π)/5181 weeks
402.03777 -.06122 (402*2π)/5181 weeks
403-.00654 .07252 (403*2π)/5181 weeks
404.00588 -.05159 (404*2π)/5181 weeks
405.07551 .06487 (405*2π)/5181 weeks
406-.04708 -.07544 (406*2π)/5181 weeks
407.07341 -.05711 (407*2π)/5181 weeks
408-.00841 .00498 (408*2π)/5181 weeks
409-.00643 -.08607 (409*2π)/5181 weeks
410.00667 .05568 (410*2π)/5181 weeks
411-.04826 -.09988 (411*2π)/5181 weeks
412.07074 -.02288 (412*2π)/5181 weeks
413-.01982 .09883 (413*2π)/5181 weeks
414-.01963 -.08268 (414*2π)/5181 weeks
415.08161 .04152 (415*2π)/5181 weeks
416-.06132 -.05995 (416*2π)/5181 weeks
417.03381 -.10278 (417*2π)/5181 weeks
418.08457 .03886 (418*2π)/5181 weeks
419.05605 -.0411 (419*2π)/5181 weeks
420-.06901 -.04262 (420*2π)/5181 weeks
421.04475 .06925 (421*2π)/5181 weeks
422-.03065 .04825 (422*2π)/5181 weeks
423.07935 -.04935 (423*2π)/5181 weeks
424.07963 .03526 (424*2π)/5181 weeks
425-.06592 -.03145 (425*2π)/5181 weeks
426.05211 -.06141 (426*2π)/5181 weeks
427.01255 -.05967 (427*2π)/5181 weeks
428-.00619 -.01759 (428*2π)/5181 weeks
429-.0833 .04215 (429*2π)/5181 weeks
430.08766 -.02479 (430*2π)/5181 weeks
431-.00777 .10006 (431*2π)/5181 weeks
432.06904 .00313 (432*2π)/5181 weeks
433-.03279 .00547 (433*2π)/5181 weeks
434.01601 -.11991 (434*2π)/5181 weeks
435.04316 .12174 (435*2π)/5181 weeks
436-.13642 -.19046 (436*2π)/5181 weeks
437.13071 -.06465 (437*2π)/5181 weeks
438-.1002 .11243 (438*2π)/5181 weeks
439.00029 -.12447 (439*2π)/5181 weeks
440.05216 .07707 (440*2π)/5181 weeks
441.01449 -.05244 (441*2π)/5181 weeks
442.05857 -.05297 (442*2π)/5181 weeks
443.07187 .01165 (443*2π)/5181 weeks
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447.03935 -.05107 (447*2π)/5181 weeks
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450.08216 .02262 (450*2π)/5181 weeks
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453.05047 -.00056 (453*2π)/5181 weeks
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455.02464 .08121 (455*2π)/5181 weeks
456-.09503 -.04407 (456*2π)/5181 weeks
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458.1033 .0424 (458*2π)/5181 weeks
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460.02806 -.08691 (460*2π)/5181 weeks
461.03172 -.18033 (461*2π)/5181 weeks
462.14913 -.04319 (462*2π)/5181 weeks
463.00412 .06767 (463*2π)/5181 weeks
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465-.17974 -.05735 (465*2π)/5181 weeks
466-.08409 -.08012 (466*2π)/5181 weeks
467.0802 -.05995 (467*2π)/5181 weeks
468.09544 .11452 (468*2π)/5181 weeks
469.00136 -.14887 (469*2π)/5181 weeks
470.05452 -.18618 (470*2π)/5181 weeks
471.07165 -.03199 (471*2π)/5181 weeks
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473.00439 -.05907 (473*2π)/5181 weeks
474.07312 -.05081 (474*2π)/5181 weeks
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476-.01963 .02262 (476*2π)/5181 weeks
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483.11556 -.01808 (483*2π)/5181 weeks
484-.08552 -.21672 (484*2π)/5181 weeks
485.08016 -.08478 (485*2π)/5181 weeks
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487.04799 -.25854 (487*2π)/5181 weeks
488.1194 -.11117 (488*2π)/5181 weeks
489-.18473 -.11399 (489*2π)/5181 weeks
490-.05535 .17955 (490*2π)/5181 weeks
491-.05521 -.19548 (491*2π)/5181 weeks
492.43619 -.39796 (492*2π)/5181 weeks
493.43785 .30811 (493*2π)/5181 weeks
494.06259 .06546 (494*2π)/5181 weeks
495-.16855 -.21384 (495*2π)/5181 weeks
496-.26702 -.20597 (496*2π)/5181 weeks
497-.53037 -.00932 (497*2π)/5181 weeks
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499.45817 .186 (499*2π)/5181 weeks
500.10421 .23101 (500*2π)/5181 weeks
501-.04504 -.12148 (501*2π)/5181 weeks
502.51174 -.29782 (502*2π)/5181 weeks
503.00565 -.43028 (503*2π)/5181 weeks
504-.32427 -.39444 (504*2π)/5181 weeks
505-.14944 -.61874 (505*2π)/5181 weeks
506-.21824 -.24269 (506*2π)/5181 weeks
507-.40266 .40911 (507*2π)/5181 weeks
508-.31933 -.12429 (508*2π)/5181 weeks
509.4546 .51295 (509*2π)/5181 weeks
510.57746 .27997 (510*2π)/5181 weeks
511.31023 -1.28736 (511*2π)/5181 weeks
512.8928 -.76395 (512*2π)/5181 weeks
513-.03544 -1.70207 (513*2π)/5181 weeks
514-.33955 -.52223 (514*2π)/5181 weeks
515-2.41141 .31065 (515*2π)/5181 weeks
516-5.75928 -1.56665 (516*2π)/5181 weeks