Back to list of Stocks    See Also: Seasonal Analysis of TCRDGenetic Algorithms Stock Portfolio Generator, and Best Months to Buy/Sell Stocks

# Fourier Analysis of TCRD (THL Credit)

TCRD (THL Credit) appears to have interesting cyclic behaviour every 41 weeks (.1799*sine), 30 weeks (.156*sine), and 35 weeks (.1401*cosine).

TCRD (THL Credit) has an average price of 7.86 (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 4/22/2010 to 3/19/2018 for TCRD (THL Credit), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
07.86097   0
1-.93756 -.88618 (1*2π)/414414 weeks
2.3138 -.91865 (2*2π)/414207 weeks
3-.08988 -.10153 (3*2π)/414138 weeks
4-.15525 -.3383 (4*2π)/414104 weeks
5-.15804 -.10659 (5*2π)/41483 weeks
6-.05954 -.31855 (6*2π)/41469 weeks
7-.03443 -.18641 (7*2π)/41459 weeks
8-.02092 -.11645 (8*2π)/41452 weeks
9.21738 -.06725 (9*2π)/41446 weeks
10-.1207 -.17994 (10*2π)/41441 weeks
11-.05892 -.05356 (11*2π)/41438 weeks
12-.14009 -.06898 (12*2π)/41435 weeks
13.13947 -.04425 (13*2π)/41432 weeks
14.03417 -.15604 (14*2π)/41430 weeks
15-.07195 -.04149 (15*2π)/41428 weeks
16-.06851 -.01818 (16*2π)/41426 weeks
17.00012 -.04817 (17*2π)/41424 weeks
18-.06836 .02114 (18*2π)/41423 weeks
19.00929 -.00534 (19*2π)/41422 weeks
20.00866 -.02823 (20*2π)/41421 weeks
21.01181 -.04429 (21*2π)/41420 weeks
22-.03954 -.04983 (22*2π)/41419 weeks
23-.00321 .0377 (23*2π)/41418 weeks
24.06666 -.06125 (24*2π)/41417 weeks
25.00837 -.09404 (25*2π)/41417 weeks
26-.0229 -.01546 (26*2π)/41416 weeks
27.01175 .02737 (27*2π)/41415 weeks
28.03558 -.00354 (28*2π)/41415 weeks
29-.01242 -.0669 (29*2π)/41414 weeks
30-.07312 -.00392 (30*2π)/41414 weeks
31.02885 .00966 (31*2π)/41413 weeks
32.04404 -.04704 (32*2π)/41413 weeks
33.01839 .02244 (33*2π)/41413 weeks
34-.00977 -.02359 (34*2π)/41412 weeks
35-.038 -.00097 (35*2π)/41412 weeks
36.05791 -.01975 (36*2π)/41412 weeks
37-.00853 -.03435 (37*2π)/41411 weeks
38-.03005 -.03359 (38*2π)/41411 weeks
39-.02368 -.01328 (39*2π)/41411 weeks
40-.01112 -.0006 (40*2π)/41410 weeks
41-.02225 -.00625 (41*2π)/41410 weeks
42.01922 .04574 (42*2π)/41410 weeks
43-.01574 -.07669 (43*2π)/41410 weeks
44-.03231 -.0231 (44*2π)/4149 weeks
45-.0103 -.00216 (45*2π)/4149 weeks
46.02371 -.00821 (46*2π)/4149 weeks
47.02286 -.00604 (47*2π)/4149 weeks
48-.00993 -.00438 (48*2π)/4149 weeks
49.01174 -.05747 (49*2π)/4148 weeks
50-.0239 -.0084 (50*2π)/4148 weeks
51.0073 -.01823 (51*2π)/4148 weeks
52.00955 -.02824 (52*2π)/4148 weeks
53-.0258 -.02351 (53*2π)/4148 weeks
54-.02059 -.02514 (54*2π)/4148 weeks
55-.02727 -.00757 (55*2π)/4148 weeks
56.00531 -.00671 (56*2π)/4147 weeks
57-.01035 -.01767 (57*2π)/4147 weeks
58.00237 .00027 (58*2π)/4147 weeks
59.00038 -.00566 (59*2π)/4147 weeks
60-.01794 -.01379 (60*2π)/4147 weeks
61-.00504 -.016 (61*2π)/4147 weeks
62.00408 -.03784 (62*2π)/4147 weeks
63-.02403 -.01004 (63*2π)/4147 weeks
64.00646 .02697 (64*2π)/4146 weeks
65-.00686 -.00586 (65*2π)/4146 weeks
66.03111 -.00292 (66*2π)/4146 weeks
67-.01965 -.02154 (67*2π)/4146 weeks
68.00533 -.00603 (68*2π)/4146 weeks
69-.01471 .00876 (69*2π)/4146 weeks
70.00657 -.00011 (70*2π)/4146 weeks
71.01207 .00975 (71*2π)/4146 weeks
72-.02696 -.03931 (72*2π)/4146 weeks
73-.00743 .00847 (73*2π)/4146 weeks
74-.00821 -.00918 (74*2π)/4146 weeks
75-.00627 -.01561 (75*2π)/4146 weeks
76-.00729 .00392 (76*2π)/4145 weeks
77-.00289 .00856 (77*2π)/4145 weeks
78.01503 -.01615 (78*2π)/4145 weeks
79-.01124 -.02287 (79*2π)/4145 weeks
80-.01653 .01356 (80*2π)/4145 weeks
81.01903 -.00637 (81*2π)/4145 weeks
82-.01608 -.02513 (82*2π)/4145 weeks
83-.00912 -.00404 (83*2π)/4145 weeks
84.00337 -.01506 (84*2π)/4145 weeks
85.00533 -.01457 (85*2π)/4145 weeks
86.00859 .00155 (86*2π)/4145 weeks
87.00946 -.00685 (87*2π)/4145 weeks
88.00844 -.01112 (88*2π)/4145 weeks
89-.00261 -.01054 (89*2π)/4145 weeks
90-.0156 -.00013 (90*2π)/4145 weeks
91.01281 -.01149 (91*2π)/4145 weeks
92-.01399 -.02017 (92*2π)/4145 weeks
93.00562 -.00114 (93*2π)/4144 weeks
94-.03028 .00911 (94*2π)/4144 weeks
95.04123 -.00253 (95*2π)/4144 weeks
96-.00937 -.00949 (96*2π)/4144 weeks
97-.00638 -.00738 (97*2π)/4144 weeks
98-.02177 .00925 (98*2π)/4144 weeks
99-.00122 -.00419 (99*2π)/4144 weeks
100.00236 -.01128 (100*2π)/4144 weeks
101-.00411 -.00249 (101*2π)/4144 weeks
102-.00754 .00312 (102*2π)/4144 weeks
103-.00293 .00179 (103*2π)/4144 weeks
104-.00742 .01601 (104*2π)/4144 weeks
105-.00663 -.00111 (105*2π)/4144 weeks
106-.0124 -.01253 (106*2π)/4144 weeks
107-.01633 -.00554 (107*2π)/4144 weeks
108-.009 .01403 (108*2π)/4144 weeks
109.00655 -.00931 (109*2π)/4144 weeks
110.00092 -.0034 (110*2π)/4144 weeks
111.00033 -.01114 (111*2π)/4144 weeks
112-.0041 -.01143 (112*2π)/4144 weeks
113-.00749 .00591 (113*2π)/4144 weeks
114-.00026 .00573 (114*2π)/4144 weeks
115-.01788 -.00821 (115*2π)/4144 weeks
116-.01179 .00208 (116*2π)/4144 weeks
117-.00102 -.01105 (117*2π)/4144 weeks
118-.00124 -.00313 (118*2π)/4144 weeks
119-.00757 -.00528 (119*2π)/4143 weeks
120.00047 .00125 (120*2π)/4143 weeks
121-.01531 -.00538 (121*2π)/4143 weeks
122-.00163 .00272 (122*2π)/4143 weeks
123.00723 .00341 (123*2π)/4143 weeks
124-.0067 .0018 (124*2π)/4143 weeks
125-.00688 -.00598 (125*2π)/4143 weeks
126-.00774 -.00456 (126*2π)/4143 weeks
127-.01264 -.00355 (127*2π)/4143 weeks
128.00078 -.00265 (128*2π)/4143 weeks
129.00855 -.00264 (129*2π)/4143 weeks
130-.01359 -.02074 (130*2π)/4143 weeks
131-.01076 -.00261 (131*2π)/4143 weeks
132.00856 .00402 (132*2π)/4143 weeks
133.00393 -.00261 (133*2π)/4143 weeks
134-.00432 -.0183 (134*2π)/4143 weeks
135-.01385 .02037 (135*2π)/4143 weeks
136.00095 -.01551 (136*2π)/4143 weeks
137-.00194 -.00765 (137*2π)/4143 weeks
138.00656 .00061 (138*2π)/4143 weeks
139.00366 .00356 (139*2π)/4143 weeks
140.00094 .0075 (140*2π)/4143 weeks
141-.01209 -.00891 (141*2π)/4143 weeks
142-.00035 -.00293 (142*2π)/4143 weeks
143.00515 .01714 (143*2π)/4143 weeks
144-.01098 -.00257 (144*2π)/4143 weeks
145-.01037 -.00018 (145*2π)/4143 weeks
146-.00351 -.00176 (146*2π)/4143 weeks
147.00475 -.00291 (147*2π)/4143 weeks
148-.00472 .00193 (148*2π)/4143 weeks
149-.00682 .0083 (149*2π)/4143 weeks
150-.00885 -.00624 (150*2π)/4143 weeks
151-.02266 -.01091 (151*2π)/4143 weeks
152.00875 .00822 (152*2π)/4143 weeks
153-.00754 -.00421 (153*2π)/4143 weeks
154-.0204 -.00521 (154*2π)/4143 weeks
155-.00715 -.00446 (155*2π)/4143 weeks
156-.01095 .0074 (156*2π)/4143 weeks
157-.00858 .00512 (157*2π)/4143 weeks
158-.00921 -.00978 (158*2π)/4143 weeks
159-.01388 .01101 (159*2π)/4143 weeks
160-.00577 .01391 (160*2π)/4143 weeks
161.00668 .00488 (161*2π)/4143 weeks
162-.01136 -.01686 (162*2π)/4143 weeks
163-.01 -.00215 (163*2π)/4143 weeks
164-.00409 .00375 (164*2π)/4143 weeks
165-.00859 -.00432 (165*2π)/4143 weeks
166-.01996 .0054 (166*2π)/4142 weeks
167.00171 .01729 (167*2π)/4142 weeks
168-.01517 .00088 (168*2π)/4142 weeks
169-.01495 -.00164 (169*2π)/4142 weeks
170-.01905 -.01429 (170*2π)/4142 weeks
171-.00272 -.0033 (171*2π)/4142 weeks
172.00023 -.00051 (172*2π)/4142 weeks
173-.00841 -.01127 (173*2π)/4142 weeks
174-.01357 -.00051 (174*2π)/4142 weeks
175-.00768 -.00965 (175*2π)/4142 weeks
176-.01543 .0073 (176*2π)/4142 weeks
177.00227 -.01016 (177*2π)/4142 weeks
178-.00924 -.00394 (178*2π)/4142 weeks
179.01297 .01708 (179*2π)/4142 weeks
180-.02115 -.00527 (180*2π)/4142 weeks
181-.00137 -.00113 (181*2π)/4142 weeks
182.00724 -.00617 (182*2π)/4142 weeks
183-.00117 .0013 (183*2π)/4142 weeks
184-.0037 -.00264 (184*2π)/4142 weeks
185-.00469 -.01294 (185*2π)/4142 weeks
186-.01269 -.00222 (186*2π)/4142 weeks
187-.0024 .00074 (187*2π)/4142 weeks
188-.00396 .00252 (188*2π)/4142 weeks
189-.00579 .00051 (189*2π)/4142 weeks
190.00022 .0032 (190*2π)/4142 weeks
191-.00259 -.00546 (191*2π)/4142 weeks
192-.00763 -.00733 (192*2π)/4142 weeks
193-.01048 -.00785 (193*2π)/4142 weeks
194-.00995 -.00665 (194*2π)/4142 weeks
195-.00344 .0024 (195*2π)/4142 weeks
196-.00415 -.00636 (196*2π)/4142 weeks
197-.01985 -.0091 (197*2π)/4142 weeks
198-.01734 .01784 (198*2π)/4142 weeks
199-.00165 .00065 (199*2π)/4142 weeks
200-.00125 -.00526 (200*2π)/4142 weeks
201-.01757 -.00576 (201*2π)/4142 weeks
202.00512 .007 (202*2π)/4142 weeks
203-.00097 -.01415 (203*2π)/4142 weeks
204-.01917 -.00433 (204*2π)/4142 weeks
205-.00971 .01502 (205*2π)/4142 weeks
206.00397 .00781 (206*2π)/4142 weeks
207-.01184   (207*2π)/4142 weeks
208.00397 -.00781 (208*2π)/4142 weeks
209-.00971 -.01502 (209*2π)/4142 weeks
210-.01917 .00433 (210*2π)/4142 weeks
211-.00097 .01415 (211*2π)/4142 weeks
212.00512 -.007 (212*2π)/4142 weeks
213-.01757 .00576 (213*2π)/4142 weeks
214-.00125 .00526 (214*2π)/4142 weeks
215-.00165 -.00065 (215*2π)/4142 weeks
216-.01734 -.01784 (216*2π)/4142 weeks
217-.01985 .0091 (217*2π)/4142 weeks
218-.00415 .00636 (218*2π)/4142 weeks
219-.00344 -.0024 (219*2π)/4142 weeks
220-.00995 .00665 (220*2π)/4142 weeks
221-.01048 .00785 (221*2π)/4142 weeks
222-.00763 .00733 (222*2π)/4142 weeks
223-.00259 .00546 (223*2π)/4142 weeks
224.00022 -.0032 (224*2π)/4142 weeks
225-.00579 -.00051 (225*2π)/4142 weeks
226-.00396 -.00252 (226*2π)/4142 weeks
227-.0024 -.00074 (227*2π)/4142 weeks
228-.01269 .00222 (228*2π)/4142 weeks
229-.00469 .01294 (229*2π)/4142 weeks
230-.0037 .00264 (230*2π)/4142 weeks
231-.00117 -.0013 (231*2π)/4142 weeks
232.00724 .00617 (232*2π)/4142 weeks
233-.00137 .00113 (233*2π)/4142 weeks
234-.02115 .00527 (234*2π)/4142 weeks
235.01297 -.01708 (235*2π)/4142 weeks
236-.00924 .00394 (236*2π)/4142 weeks
237.00227 .01016 (237*2π)/4142 weeks
238-.01543 -.0073 (238*2π)/4142 weeks
239-.00768 .00965 (239*2π)/4142 weeks
240-.01357 .00051 (240*2π)/4142 weeks
241-.00841 .01127 (241*2π)/4142 weeks
242.00023 .00051 (242*2π)/4142 weeks
243-.00272 .0033 (243*2π)/4142 weeks
244-.01905 .01429 (244*2π)/4142 weeks
245-.01495 .00164 (245*2π)/4142 weeks
246-.01517 -.00088 (246*2π)/4142 weeks
247.00171 -.01729 (247*2π)/4142 weeks
248-.01996 -.0054 (248*2π)/4142 weeks
249-.00859 .00432 (249*2π)/4142 weeks
250-.00409 -.00375 (250*2π)/4142 weeks
251-.01 .00215 (251*2π)/4142 weeks
252-.01136 .01686 (252*2π)/4142 weeks
253.00668 -.00488 (253*2π)/4142 weeks
254-.00577 -.01391 (254*2π)/4142 weeks
255-.01388 -.01101 (255*2π)/4142 weeks
256-.00921 .00978 (256*2π)/4142 weeks
257-.00858 -.00512 (257*2π)/4142 weeks
258-.01095 -.0074 (258*2π)/4142 weeks
259-.00715 .00446 (259*2π)/4142 weeks
260-.0204 .00521 (260*2π)/4142 weeks
261-.00754 .00421 (261*2π)/4142 weeks
262.00875 -.00822 (262*2π)/4142 weeks
263-.02266 .01091 (263*2π)/4142 weeks
264-.00885 .00624 (264*2π)/4142 weeks
265-.00682 -.0083 (265*2π)/4142 weeks
266-.00472 -.00193 (266*2π)/4142 weeks
267.00475 .00291 (267*2π)/4142 weeks
268-.00351 .00176 (268*2π)/4142 weeks
269-.01037 .00018 (269*2π)/4142 weeks
270-.01098 .00257 (270*2π)/4142 weeks
271.00515 -.01714 (271*2π)/4142 weeks
272-.00035 .00293 (272*2π)/4142 weeks
273-.01209 .00891 (273*2π)/4142 weeks
274.00094 -.0075 (274*2π)/4142 weeks
275.00366 -.00356 (275*2π)/4142 weeks
276.00656 -.00061 (276*2π)/4142 weeks
277-.00194 .00765 (277*2π)/4141 weeks
278.00095 .01551 (278*2π)/4141 weeks
279-.01385 -.02037 (279*2π)/4141 weeks
280-.00432 .0183 (280*2π)/4141 weeks
281.00393 .00261 (281*2π)/4141 weeks
282.00856 -.00402 (282*2π)/4141 weeks
283-.01076 .00261 (283*2π)/4141 weeks
284-.01359 .02074 (284*2π)/4141 weeks
285.00855 .00264 (285*2π)/4141 weeks
286.00078 .00265 (286*2π)/4141 weeks
287-.01264 .00355 (287*2π)/4141 weeks
288-.00774 .00456 (288*2π)/4141 weeks
289-.00688 .00598 (289*2π)/4141 weeks
290-.0067 -.0018 (290*2π)/4141 weeks
291.00723 -.00341 (291*2π)/4141 weeks
292-.00163 -.00272 (292*2π)/4141 weeks
293-.01531 .00538 (293*2π)/4141 weeks
294.00047 -.00125 (294*2π)/4141 weeks
295-.00757 .00528 (295*2π)/4141 weeks
296-.00124 .00313 (296*2π)/4141 weeks
297-.00102 .01105 (297*2π)/4141 weeks
298-.01179 -.00208 (298*2π)/4141 weeks
299-.01788 .00821 (299*2π)/4141 weeks
300-.00026 -.00573 (300*2π)/4141 weeks
301-.00749 -.00591 (301*2π)/4141 weeks
302-.0041 .01143 (302*2π)/4141 weeks
303.00033 .01114 (303*2π)/4141 weeks
304.00092 .0034 (304*2π)/4141 weeks
305.00655 .00931 (305*2π)/4141 weeks
306-.009 -.01403 (306*2π)/4141 weeks
307-.01633 .00554 (307*2π)/4141 weeks
308-.0124 .01253 (308*2π)/4141 weeks
309-.00663 .00111 (309*2π)/4141 weeks
310-.00742 -.01601 (310*2π)/4141 weeks
311-.00293 -.00179 (311*2π)/4141 weeks
312-.00754 -.00312 (312*2π)/4141 weeks
313-.00411 .00249 (313*2π)/4141 weeks
314.00236 .01128 (314*2π)/4141 weeks
315-.00122 .00419 (315*2π)/4141 weeks
316-.02177 -.00925 (316*2π)/4141 weeks
317-.00638 .00738 (317*2π)/4141 weeks
318-.00937 .00949 (318*2π)/4141 weeks
319.04123 .00253 (319*2π)/4141 weeks
320-.03028 -.00911 (320*2π)/4141 weeks
321.00562 .00114 (321*2π)/4141 weeks
322-.01399 .02017 (322*2π)/4141 weeks
323.01281 .01149 (323*2π)/4141 weeks
324-.0156 .00013 (324*2π)/4141 weeks
325-.00261 .01054 (325*2π)/4141 weeks
326.00844 .01112 (326*2π)/4141 weeks
327.00946 .00685 (327*2π)/4141 weeks
328.00859 -.00155 (328*2π)/4141 weeks
329.00533 .01457 (329*2π)/4141 weeks
330.00337 .01506 (330*2π)/4141 weeks
331-.00912 .00404 (331*2π)/4141 weeks
332-.01608 .02513 (332*2π)/4141 weeks
333.01903 .00637 (333*2π)/4141 weeks
334-.01653 -.01356 (334*2π)/4141 weeks
335-.01124 .02287 (335*2π)/4141 weeks
336.01503 .01615 (336*2π)/4141 weeks
337-.00289 -.00856 (337*2π)/4141 weeks
338-.00729 -.00392 (338*2π)/4141 weeks
339-.00627 .01561 (339*2π)/4141 weeks
340-.00821 .00918 (340*2π)/4141 weeks
341-.00743 -.00847 (341*2π)/4141 weeks
342-.02696 .03931 (342*2π)/4141 weeks
343.01207 -.00975 (343*2π)/4141 weeks
344.00657 .00011 (344*2π)/4141 weeks
345-.01471 -.00876 (345*2π)/4141 weeks
346.00533 .00603 (346*2π)/4141 weeks
347-.01965 .02154 (347*2π)/4141 weeks
348.03111 .00292 (348*2π)/4141 weeks
349-.00686 .00586 (349*2π)/4141 weeks
350.00646 -.02697 (350*2π)/4141 weeks
351-.02403 .01004 (351*2π)/4141 weeks
352.00408 .03784 (352*2π)/4141 weeks
353-.00504 .016 (353*2π)/4141 weeks
354-.01794 .01379 (354*2π)/4141 weeks
355.00038 .00566 (355*2π)/4141 weeks
356.00237 -.00027 (356*2π)/4141 weeks
357-.01035 .01767 (357*2π)/4141 weeks
358.00531 .00671 (358*2π)/4141 weeks
359-.02727 .00757 (359*2π)/4141 weeks
360-.02059 .02514 (360*2π)/4141 weeks
361-.0258 .02351 (361*2π)/4141 weeks
362.00955 .02824 (362*2π)/4141 weeks
363.0073 .01823 (363*2π)/4141 weeks
364-.0239 .0084 (364*2π)/4141 weeks
365.01174 .05747 (365*2π)/4141 weeks
366-.00993 .00438 (366*2π)/4141 weeks
367.02286 .00604 (367*2π)/4141 weeks
368.02371 .00821 (368*2π)/4141 weeks
369-.0103 .00216 (369*2π)/4141 weeks
370-.03231 .0231 (370*2π)/4141 weeks
371-.01574 .07669 (371*2π)/4141 weeks
372.01922 -.04574 (372*2π)/4141 weeks
373-.02225 .00625 (373*2π)/4141 weeks
374-.01112 .0006 (374*2π)/4141 weeks
375-.02368 .01328 (375*2π)/4141 weeks
376-.03005 .03359 (376*2π)/4141 weeks
377-.00853 .03435 (377*2π)/4141 weeks
378.05791 .01975 (378*2π)/4141 weeks
379-.038 .00097 (379*2π)/4141 weeks
380-.00977 .02359 (380*2π)/4141 weeks
381.01839 -.02244 (381*2π)/4141 weeks
382.04404 .04704 (382*2π)/4141 weeks
383.02885 -.00966 (383*2π)/4141 weeks
384-.07312 .00392 (384*2π)/4141 weeks
385-.01242 .0669 (385*2π)/4141 weeks
386.03558 .00354 (386*2π)/4141 weeks
387.01175 -.02737 (387*2π)/4141 weeks
388-.0229 .01546 (388*2π)/4141 weeks
389.00837 .09404 (389*2π)/4141 weeks
390.06666 .06125 (390*2π)/4141 weeks
391-.00321 -.0377 (391*2π)/4141 weeks
392-.03954 .04983 (392*2π)/4141 weeks
393.01181 .04429 (393*2π)/4141 weeks
394.00866 .02823 (394*2π)/4141 weeks
395.00929 .00534 (395*2π)/4141 weeks
396-.06836 -.02114 (396*2π)/4141 weeks
397.00012 .04817 (397*2π)/4141 weeks
398-.06851 .01818 (398*2π)/4141 weeks
399-.07195 .04149 (399*2π)/4141 weeks
400.03417 .15604 (400*2π)/4141 weeks
401.13947 .04425 (401*2π)/4141 weeks
402-.14009 .06898 (402*2π)/4141 weeks
403-.05892 .05356 (403*2π)/4141 weeks
404-.1207 .17994 (404*2π)/4141 weeks
405.21738 .06725 (405*2π)/4141 weeks
406-.02092 .11645 (406*2π)/4141 weeks
407-.03443 .18641 (407*2π)/4141 weeks
408-.05954 .31855 (408*2π)/4141 weeks
409-.15804 .10659 (409*2π)/4141 weeks
410-.15525 .3383 (410*2π)/4141 weeks
411-.08988 .10153 (411*2π)/4141 weeks
412.3138 .91865 (412*2π)/4141 weeks