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Fourier Analysis of PNX (The Phoenix Companies Inc)


PNX (The Phoenix Companies Inc) appears to have interesting cyclic behaviour every 46 weeks (10.7511*sine), 79 weeks (9.616*cosine), and 66 weeks (8.3356*sine).

PNX (The Phoenix Companies Inc) has an average price of 148.14 (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 6/19/2001 to 11/10/2017 for PNX (The Phoenix Companies Inc), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
0148.1406   0 
17.04473 132.728 (1*2π)/786786 weeks
21.44639 -10.29106 (2*2π)/786393 weeks
330.84595 45.87494 (3*2π)/786262 weeks
4-3.82136 18.98795 (4*2π)/786197 weeks
517.30561 32.0781 (5*2π)/786157 weeks
6-.91848 26.98044 (6*2π)/786131 weeks
73.16634 32.11509 (7*2π)/786112 weeks
8-12.40125 13.60457 (8*2π)/78698 weeks
9-6.40441 10.61924 (9*2π)/78687 weeks
10-9.61604 -.8743 (10*2π)/78679 weeks
113.93105 3.87888 (11*2π)/78671 weeks
12.02195 -8.33564 (12*2π)/78666 weeks
135.26845 6.26711 (13*2π)/78660 weeks
14-3.37789 4.53259 (14*2π)/78656 weeks
154.25449 3.29528 (15*2π)/78652 weeks
163.45173 2.1517 (16*2π)/78649 weeks
175.93711 10.75112 (17*2π)/78646 weeks
18-2.04925 9.32615 (18*2π)/78644 weeks
193.40583 5.57689 (19*2π)/78641 weeks
202.24789 3.52672 (20*2π)/78639 weeks
211.07575 3.99843 (21*2π)/78637 weeks
222.6372 5.12319 (22*2π)/78636 weeks
234.0059 7.60032 (23*2π)/78634 weeks
24-.79986 1.28284 (24*2π)/78633 weeks
254.14198 1.43329 (25*2π)/78631 weeks
26-.20022 7.46451 (26*2π)/78630 weeks
274.23773 2.74178 (27*2π)/78629 weeks
28.27809 3.15637 (28*2π)/78628 weeks
292.44664 7.46243 (29*2π)/78627 weeks
30-1.05258 6.88995 (30*2π)/78626 weeks
313.36487 3.89116 (31*2π)/78625 weeks
32-4.25705 2.96469 (32*2π)/78625 weeks
33.65354 1.8081 (33*2π)/78624 weeks
341.43087 6.69378 (34*2π)/78623 weeks
351.37096 -.34539 (35*2π)/78622 weeks
36.46888 4.20191 (36*2π)/78622 weeks
37-1.79153 1.85998 (37*2π)/78621 weeks
384.45153 6.40129 (38*2π)/78621 weeks
39.13233 2.26522 (39*2π)/78620 weeks
401.46521 4.38807 (40*2π)/78620 weeks
41-1.42226 5.92635 (41*2π)/78619 weeks
421.04936 6.42021 (42*2π)/78619 weeks
43-4.28854 .08132 (43*2π)/78618 weeks
44-.26534 2.3755 (44*2π)/78618 weeks
45-2.54061 3.17491 (45*2π)/78617 weeks
462.72746 1.48764 (46*2π)/78617 weeks
47-1.48368 -.51194 (47*2π)/78617 weeks
48.89958 1.4988 (48*2π)/78616 weeks
49-.50244 3.14538 (49*2π)/78616 weeks
502.02364 .46281 (50*2π)/78616 weeks
51-.46644 2.09931 (51*2π)/78615 weeks
52-1.88676 1.71178 (52*2π)/78615 weeks
531.37003 3.30955 (53*2π)/78615 weeks
54.57646 1.20166 (54*2π)/78615 weeks
55-.82822 .62935 (55*2π)/78614 weeks
56-.89129 2.80262 (56*2π)/78614 weeks
57.9417 3.11063 (57*2π)/78614 weeks
581.48952 -.02078 (58*2π)/78614 weeks
59-.05878 -1.06338 (59*2π)/78613 weeks
60.87466 2.70337 (60*2π)/78613 weeks
612.34748 1.93217 (61*2π)/78613 weeks
62.96452 1.46627 (62*2π)/78613 weeks
63-.52038 .93915 (63*2π)/78612 weeks
64.18427 3.44913 (64*2π)/78612 weeks
652.95038 1.77037 (65*2π)/78612 weeks
66.61973 1.43044 (66*2π)/78612 weeks
67-1.30365 2.5804 (67*2π)/78612 weeks
68-1.71692 3.71901 (68*2π)/78612 weeks
691.74894 .62079 (69*2π)/78611 weeks
70-.55896 1.52496 (70*2π)/78611 weeks
71-2.21191 .68618 (71*2π)/78611 weeks
72.45264 1.68359 (72*2π)/78611 weeks
731.26878 -.20309 (73*2π)/78611 weeks
74.23526 -.93117 (74*2π)/78611 weeks
75.22842 1.22207 (75*2π)/78610 weeks
761.32572 4.16325 (76*2π)/78610 weeks
771.28515 .91958 (77*2π)/78610 weeks
78-.16632 .21156 (78*2π)/78610 weeks
79-.83698 1.55197 (79*2π)/78610 weeks
801.0732 3.76372 (80*2π)/78610 weeks
811.01513 -.88624 (81*2π)/78610 weeks
82-.31362 .76466 (82*2π)/78610 weeks
83-1.42022 1.11274 (83*2π)/7869 weeks
842.44009 1.50473 (84*2π)/7869 weeks
851.18804 -.98867 (85*2π)/7869 weeks
86.18322 .59501 (86*2π)/7869 weeks
87-.0844 2.43132 (87*2π)/7869 weeks
882.58749 1.24819 (88*2π)/7869 weeks
89.78454 .32395 (89*2π)/7869 weeks
90-.22593 .759 (90*2π)/7869 weeks
91-.15537 3.45373 (91*2π)/7869 weeks
921.93552 .71808 (92*2π)/7869 weeks
93.14669 .67074 (93*2π)/7868 weeks
94-2.08356 1.12369 (94*2π)/7868 weeks
951.02824 1.81141 (95*2π)/7868 weeks
962.66859 .94024 (96*2π)/7868 weeks
97.3974 -.29865 (97*2π)/7868 weeks
98-.85499 1.94727 (98*2π)/7868 weeks
991.06988 2.26252 (99*2π)/7868 weeks
1001.98657 .56571 (100*2π)/7868 weeks
101-.60513 -.15581 (101*2π)/7868 weeks
102.36827 1.6227 (102*2π)/7868 weeks
103.76865 2.56869 (103*2π)/7868 weeks
1041.92227 -.63928 (104*2π)/7868 weeks
105-1.09562 .77074 (105*2π)/7867 weeks
106.32789 1.0617 (106*2π)/7867 weeks
1071.86599 2.51744 (107*2π)/7867 weeks
1081.25808 .12347 (108*2π)/7867 weeks
109-.86391 .99361 (109*2π)/7867 weeks
110-.21565 1.68305 (110*2π)/7867 weeks
1111.51106 2.37768 (111*2π)/7867 weeks
1121.57055 -1.47853 (112*2π)/7867 weeks
113-.84824 2.17782 (113*2π)/7867 weeks
114.32238 1.94319 (114*2π)/7867 weeks
1152.10539 1.86011 (115*2π)/7867 weeks
116.26803 -.65899 (116*2π)/7867 weeks
117-.76305 1.20037 (117*2π)/7867 weeks
118.8329 2.89477 (118*2π)/7867 weeks
1192.53789 .89761 (119*2π)/7867 weeks
120-.34326 .47723 (120*2π)/7867 weeks
121-1.2967 1.73409 (121*2π)/7866 weeks
122.78766 2.11271 (122*2π)/7866 weeks
1231.69807 .61257 (123*2π)/7866 weeks
124-.52076 -.41066 (124*2π)/7866 weeks
125-.24418 2.38557 (125*2π)/7866 weeks
126.70358 2.35533 (126*2π)/7866 weeks
1271.34873 -.12649 (127*2π)/7866 weeks
128-1.22334 .43079 (128*2π)/7866 weeks
129-.80602 2.08798 (129*2π)/7866 weeks
130.78039 2.2264 (130*2π)/7866 weeks
131.35379 -1.20345 (131*2π)/7866 weeks
132-.44909 .7338 (132*2π)/7866 weeks
133-.75082 1.9836 (133*2π)/7866 weeks
1342.36643 1.23546 (134*2π)/7866 weeks
135.43621 -.1786 (135*2π)/7866 weeks
136-.65226 .9155 (136*2π)/7866 weeks
137.13996 2.45465 (137*2π)/7866 weeks
1381.49371 1.09276 (138*2π)/7866 weeks
139-.18581 -.68024 (139*2π)/7866 weeks
140-1.68314 .79804 (140*2π)/7866 weeks
141.01554 1.47279 (141*2π)/7866 weeks
1421.80432 .54731 (142*2π)/7866 weeks
143-.54108 -1.47433 (143*2π)/7865 weeks
144-.57557 .84212 (144*2π)/7865 weeks
1451.44895 1.76586 (145*2π)/7865 weeks
1461.75506 .09155 (146*2π)/7865 weeks
147.64873 -.05745 (147*2π)/7865 weeks
148-1.23341 2.36164 (148*2π)/7865 weeks
1491.3416 2.04703 (149*2π)/7865 weeks
150.99317 -.04206 (150*2π)/7865 weeks
151-1.10297 -.7186 (151*2π)/7865 weeks
152-.4411 2.05981 (152*2π)/7865 weeks
1531.01258 1.42515 (153*2π)/7865 weeks
1541.84802 -.07734 (154*2π)/7865 weeks
155-1.64247 -.2659 (155*2π)/7865 weeks
156.60397 2.11603 (156*2π)/7865 weeks
1571.45206 1.3471 (157*2π)/7865 weeks
158.91617 -.78098 (158*2π)/7865 weeks
159-1.38942 .94349 (159*2π)/7865 weeks
160.15338 1.72219 (160*2π)/7865 weeks
1611.7379 .84261 (161*2π)/7865 weeks
162.48292 -.66765 (162*2π)/7865 weeks
163-1.30285 1.02788 (163*2π)/7865 weeks
164.16805 1.81424 (164*2π)/7865 weeks
1651.58229 -.11708 (165*2π)/7865 weeks
166-.1072 -.82997 (166*2π)/7865 weeks
167-.93757 1.01885 (167*2π)/7865 weeks
168.92072 1.61386 (168*2π)/7865 weeks
1692.22827 .43462 (169*2π)/7865 weeks
170-.46739 -.33921 (170*2π)/7865 weeks
171-.4085 1.47868 (171*2π)/7865 weeks
1721.25103 2.29741 (172*2π)/7865 weeks
1731.05292 -.65294 (173*2π)/7865 weeks
174-.20611 -.16223 (174*2π)/7865 weeks
175-.77511 1.8585 (175*2π)/7864 weeks
1761.75577 1.87233 (176*2π)/7864 weeks
177.53754 -1.03792 (177*2π)/7864 weeks
178-.68567 -.13309 (178*2π)/7864 weeks
179-.12597 1.58619 (179*2π)/7864 weeks
1802.00784 1.40464 (180*2π)/7864 weeks
181.46107 -.43913 (181*2π)/7864 weeks
182-1.36471 .53049 (182*2π)/7864 weeks
183.2113 1.89792 (183*2π)/7864 weeks
1841.56743 1.07025 (184*2π)/7864 weeks
185.1148 -.97283 (185*2π)/7864 weeks
186-1.03433 .81641 (186*2π)/7864 weeks
187.26625 1.59987 (187*2π)/7864 weeks
1881.75883 .25032 (188*2π)/7864 weeks
189-.2207 -1.21223 (189*2π)/7864 weeks
190-.68653 1.40565 (190*2π)/7864 weeks
191.75413 1.73641 (191*2π)/7864 weeks
1921.80522 .72096 (192*2π)/7864 weeks
193-1.10329 -.88224 (193*2π)/7864 weeks
194-.46816 1.41835 (194*2π)/7864 weeks
195.92043 1.45665 (195*2π)/7864 weeks
1961.77227 -.28588 (196*2π)/7864 weeks
197-.765 -.68367 (197*2π)/7864 weeks
198-.81079 1.59095 (198*2π)/7864 weeks
1991.22888 1.09446 (199*2π)/7864 weeks
2001.05413 -1.461 (200*2π)/7864 weeks
201-.79074 -.17469 (201*2π)/7864 weeks
202-.24567 1.58722 (202*2π)/7864 weeks
2031.83293 1.07604 (203*2π)/7864 weeks
204.88228 -1.25793 (204*2π)/7864 weeks
205-.71872 .59944 (205*2π)/7864 weeks
206.19606 1.83879 (206*2π)/7864 weeks
2071.84692 1.17311 (207*2π)/7864 weeks
208.16999 -.66017 (208*2π)/7864 weeks
209-1.58544 .41875 (209*2π)/7864 weeks
210.92812 1.30223 (210*2π)/7864 weeks
2111.75694 .38197 (211*2π)/7864 weeks
212.37357 -.94518 (212*2π)/7864 weeks
213-1.37014 1.07498 (213*2π)/7864 weeks
214.7745 1.57511 (214*2π)/7864 weeks
2151.90489 -.4602 (215*2π)/7864 weeks
216-.34597 -.85193 (216*2π)/7864 weeks
217-.95392 1.02934 (217*2π)/7864 weeks
2181.58873 1.25892 (218*2π)/7864 weeks
2191.68147 -.58652 (219*2π)/7864 weeks
220-.45061 -.42994 (220*2π)/7864 weeks
221-.37645 1.7696 (221*2π)/7864 weeks
2221.59753 1.01661 (222*2π)/7864 weeks
2231.52609 -.3945 (223*2π)/7864 weeks
224-.79023 .056 (224*2π)/7864 weeks
225-.31779 2.14736 (225*2π)/7863 weeks
2261.29517 .74037 (226*2π)/7863 weeks
227.18483 -.48261 (227*2π)/7863 weeks
228-1.12754 -.60046 (228*2π)/7863 weeks
229.00674 2.03635 (229*2π)/7863 weeks
2301.63285 .08727 (230*2π)/7863 weeks
231.74871 -.9077 (231*2π)/7863 weeks
232-1.29772 -.04061 (232*2π)/7863 weeks
2331.04652 1.51219 (233*2π)/7863 weeks
2342.14284 -.14098 (234*2π)/7863 weeks
235.75804 -1.1137 (235*2π)/7863 weeks
236-.99134 .98963 (236*2π)/7863 weeks
2371.30878 1.49123 (237*2π)/7863 weeks
2381.5812 -.12964 (238*2π)/7863 weeks
239.20015 -.88497 (239*2π)/7863 weeks
240-1.0946 1.67829 (240*2π)/7863 weeks
2411.54989 1.30673 (241*2π)/7863 weeks
2421.24185 -.48521 (242*2π)/7863 weeks
243-.02288 -.69142 (243*2π)/7863 weeks
244-.72153 2.05632 (244*2π)/7863 weeks
2451.43674 1.01541 (245*2π)/7863 weeks
2461.17667 -.67848 (246*2π)/7863 weeks
247-.75465 -.42598 (247*2π)/7863 weeks
248-.12813 1.72334 (248*2π)/7863 weeks
2491.78377 .5541 (249*2π)/7863 weeks
2501.04462 -1.11359 (250*2π)/7863 weeks
251-.53461 .16693 (251*2π)/7863 weeks
252.29607 2.04896 (252*2π)/7863 weeks
2532.19501 .50933 (253*2π)/7863 weeks
254.62502 -.41785 (254*2π)/7863 weeks
255-1.15393 .37355 (255*2π)/7863 weeks
256.36597 2.27098 (256*2π)/7863 weeks
2571.48213 -.32396 (257*2π)/7863 weeks
258.31118 -.95103 (258*2π)/7863 weeks
259-1.09905 .23168 (259*2π)/7863 weeks
2601.45403 2.10199 (260*2π)/7863 weeks
2611.45508 -.56681 (261*2π)/7863 weeks
262.29694 -.603 (262*2π)/7863 weeks
263-.88608 1.21659 (263*2π)/7863 weeks
2641.60949 1.69784 (264*2π)/7863 weeks
2651.55142 -.3273 (265*2π)/7863 weeks
266-.33858 -.12027 (266*2π)/7863 weeks
267-1.09739 1.91616 (267*2π)/7863 weeks
2681.59179 1.23191 (268*2π)/7863 weeks
269.77036 -.55733 (269*2π)/7863 weeks
270-1.03349 -.3894 (270*2π)/7863 weeks
271-.66575 1.48813 (271*2π)/7863 weeks
2721.8344 .47128 (272*2π)/7863 weeks
273.65136 -1.20493 (273*2π)/7863 weeks
274-.78485 -.38921 (274*2π)/7863 weeks
275.42679 1.58515 (275*2π)/7863 weeks
2762.33603 .46418 (276*2π)/7863 weeks
277.11974 -.71667 (277*2π)/7863 weeks
278-.66259 -.04031 (278*2π)/7863 weeks
279.52539 2.15911 (279*2π)/7863 weeks
2801.76562 -.2673 (280*2π)/7863 weeks
281.55132 -.54993 (281*2π)/7863 weeks
282-1.15132 1.25148 (282*2π)/7863 weeks
283.37792 2.05274 (283*2π)/7863 weeks
2841.18948 -.72482 (284*2π)/7863 weeks
285-.24344 -.78013 (285*2π)/7863 weeks
286-1.26957 .50146 (286*2π)/7863 weeks
2871.84182 1.20197 (287*2π)/7863 weeks
2881.83812 -.46998 (288*2π)/7863 weeks
289-.5734 -.75853 (289*2π)/7863 weeks
290-.20412 1.62729 (290*2π)/7863 weeks
2911.33338 1.62223 (291*2π)/7863 weeks
292.74965 -1.19666 (292*2π)/7863 weeks
293-.86406 -.55802 (293*2π)/7863 weeks
294-.26607 1.34066 (294*2π)/7863 weeks
2951.77842 .66846 (295*2π)/7863 weeks
2961.07339 -1.07566 (296*2π)/7863 weeks
297-1.02028 .09492 (297*2π)/7863 weeks
298-.02809 1.62561 (298*2π)/7863 weeks
2991.64679 .57813 (299*2π)/7863 weeks
300.02621 -1.37438 (300*2π)/7863 weeks
301-.63362 -.05755 (301*2π)/7863 weeks
302.44874 1.87968 (302*2π)/7863 weeks
3031.92645 -.17758 (303*2π)/7863 weeks
304-.17467 -1.05363 (304*2π)/7863 weeks
305-1.05925 .44025 (305*2π)/7863 weeks
306.915 1.33306 (306*2π)/7863 weeks
3071.72424 -.63475 (307*2π)/7863 weeks
308.22849 -1.2828 (308*2π)/7863 weeks
309-.36283 1.0957 (309*2π)/7863 weeks
3101.52343 1.40005 (310*2π)/7863 weeks
3111.7185 -.64612 (311*2π)/7863 weeks
312-.5177 -.53336 (312*2π)/7863 weeks
313-.61856 1.09805 (313*2π)/7863 weeks
3141.39321 1.36187 (314*2π)/7863 weeks
3151.22768 -1.12885 (315*2π)/7862 weeks
316-1.13554 -.54209 (316*2π)/7862 weeks
317-.17924 1.02688 (317*2π)/7862 weeks
3182.07733 .79548 (318*2π)/7862 weeks
319.83827 -1.25649 (319*2π)/7862 weeks
320-.95505 -.18837 (320*2π)/7862 weeks
321.55727 1.3274 (321*2π)/7862 weeks
3222.34064 .58322 (322*2π)/7862 weeks
323.4672 -1.03274 (323*2π)/7862 weeks
324-.62608 .37338 (324*2π)/7862 weeks
325.86097 1.80576 (325*2π)/7862 weeks
3261.90334 .20925 (326*2π)/7862 weeks
327.37581 -.80644 (327*2π)/7862 weeks
328-1.24258 .88913 (328*2π)/7862 weeks
329.82718 1.4149 (329*2π)/7862 weeks
3301.65748 -.35327 (330*2π)/7862 weeks
331-.30042 -1.19634 (331*2π)/7862 weeks
332-.79247 1.03167 (332*2π)/7862 weeks
3331.19291 1.25111 (333*2π)/7862 weeks
3341.76821 -.48472 (334*2π)/7862 weeks
335-.9504 -.52523 (335*2π)/7862 weeks
336-.77632 1.43209 (336*2π)/7862 weeks
3371.46375 .89123 (337*2π)/7862 weeks
3381.19968 -.98393 (338*2π)/7862 weeks
339-1.04463 -.6003 (339*2π)/7862 weeks
340-.38291 1.07956 (340*2π)/7862 weeks
3411.64335 .55714 (341*2π)/7862 weeks
3421.1372 -1.3781 (342*2π)/7862 weeks
343-.72091 -.08754 (343*2π)/7862 weeks
344.44826 1.48238 (344*2π)/7862 weeks
3451.99286 .70187 (345*2π)/7862 weeks
346.61095 -1.08429 (346*2π)/7862 weeks
347-.85516 .33992 (347*2π)/7862 weeks
348.1451 1.94495 (348*2π)/7862 weeks
3491.77312 -.10221 (349*2π)/7862 weeks
350-.17707 -1.02895 (350*2π)/7862 weeks
351-1.36371 .29279 (351*2π)/7862 weeks
352.54413 1.37374 (352*2π)/7862 weeks
3531.31771 -.73505 (353*2π)/7862 weeks
354-.26379 -1.48259 (354*2π)/7862 weeks
355-.71313 .55161 (355*2π)/7862 weeks
3561.57052 1.39958 (356*2π)/7862 weeks
3571.44885 -.92882 (357*2π)/7862 weeks
358-.2506 -.75425 (358*2π)/7862 weeks
359-.65296 1.09391 (359*2π)/7862 weeks
3601.60665 1.47543 (360*2π)/7862 weeks
361.86345 -.97456 (361*2π)/7862 weeks
362-1.03289 -.67454 (362*2π)/7862 weeks
363-.52937 1.50135 (363*2π)/7862 weeks
3641.43206 .23637 (364*2π)/7862 weeks
365.58674 -1.81105 (365*2π)/7862 weeks
366-.88584 -.91848 (366*2π)/7862 weeks
367.17257 .88959 (367*2π)/7862 weeks
3682.34359 -.17481 (368*2π)/7862 weeks
369.5077 -1.20711 (369*2π)/7862 weeks
370-.77547 -.32858 (370*2π)/7862 weeks
371.80766 1.26237 (371*2π)/7862 weeks
3722.14505 -.2836 (372*2π)/7862 weeks
373.75895 -1.33425 (373*2π)/7862 weeks
374-.7058 .65035 (374*2π)/7862 weeks
3751.10734 1.6223 (375*2π)/7862 weeks
3761.8554 -.09937 (376*2π)/7862 weeks
377-.52854 -1.4988 (377*2π)/7862 weeks
378-.61846 1.23677 (378*2π)/7862 weeks
379.97611 1.04001 (379*2π)/7862 weeks
3801.77968 -.74662 (380*2π)/7862 weeks
381-.87548 -1.00555 (381*2π)/7862 weeks
382-.19617 .7962 (382*2π)/7862 weeks
3831.67522 .93457 (383*2π)/7862 weeks
3841.40819 -1.45907 (384*2π)/7862 weeks
385-.34623 -.3604 (385*2π)/7862 weeks
386.02983 1.3976 (386*2π)/7862 weeks
3871.43838 .81531 (387*2π)/7862 weeks
3881.12259 -1.48539 (388*2π)/7862 weeks
389-1.09482 -.24183 (389*2π)/7862 weeks
390.34481 1.28171 (390*2π)/7862 weeks
3912.00448 .95182 (391*2π)/7862 weeks
392.04038 -1.28487 (392*2π)/7862 weeks
393-1.24774   (393*2π)/7862 weeks
394.04038 1.28487 (394*2π)/7862 weeks
3952.00448 -.95182 (395*2π)/7862 weeks
396.34481 -1.28171 (396*2π)/7862 weeks
397-1.09482 .24183 (397*2π)/7862 weeks
3981.12259 1.48539 (398*2π)/7862 weeks
3991.43838 -.81531 (399*2π)/7862 weeks
400.02983 -1.3976 (400*2π)/7862 weeks
401-.34623 .3604 (401*2π)/7862 weeks
4021.40819 1.45907 (402*2π)/7862 weeks
4031.67522 -.93457 (403*2π)/7862 weeks
404-.19617 -.7962 (404*2π)/7862 weeks
405-.87548 1.00555 (405*2π)/7862 weeks
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782-3.82136 -18.98795 (782*2π)/7861 weeks
78330.84595 -45.87494 (783*2π)/7861 weeks
7841.44639 10.29106 (784*2π)/7861 weeks



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