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# Fourier Analysis of NCO (Nuveen California Municipal Mar)

NCO (Nuveen California Municipal Mar) appears to have interesting cyclic behaviour every 10 weeks (47.9399*sine), 10 weeks (47.2657*cosine), and 2 weeks (40.2091*cosine).

NCO (Nuveen California Municipal Mar) has an average price of 43.04 (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 1/2/2007 to 12/19/2016 for NCO (Nuveen California Municipal Mar), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
043.0358   0
167.45246 45.32669 (1*2π)/387387 weeks
226.76933 64.25034 (2*2π)/387194 weeks
3-11.4966 52.84454 (3*2π)/387129 weeks
4-29.33892 22.75529 (4*2π)/38797 weeks
5-21.8018 -6.44343 (5*2π)/38777 weeks
61.49882 -18.57824 (6*2π)/38765 weeks
723.27215 -9.09546 (7*2π)/38755 weeks
828.79192 12.77953 (8*2π)/38748 weeks
915.53072 30.39113 (9*2π)/38743 weeks
10-5.79883 32.26079 (10*2π)/38739 weeks
11-21.75471 19.28757 (11*2π)/38735 weeks
12-25.10936 -.31596 (12*2π)/38732 weeks
13-15.05176 -17.28201 (13*2π)/38730 weeks
144.09457 -23.32074 (14*2π)/38728 weeks
1522.39499 -13.90783 (15*2π)/38726 weeks
1627.95349 6.04111 (16*2π)/38724 weeks
1717.11394 23.06624 (17*2π)/38723 weeks
18-1.83503 26.5867 (18*2π)/38722 weeks
19-17.01978 15.89472 (19*2π)/38720 weeks
20-20.03662 -2.21006 (20*2π)/38719 weeks
21-8.89976 -17.26658 (21*2π)/38718 weeks
2210.69975 -19.42094 (22*2π)/38718 weeks
2326.23708 -5.31039 (23*2π)/38717 weeks
2426.03314 16.65928 (24*2π)/38716 weeks
259.7139 32.03716 (25*2π)/38715 weeks
26-12.74436 32.01745 (26*2π)/38715 weeks
27-29.66865 17.52505 (27*2π)/38714 weeks
28-33.887 -4.51657 (28*2π)/38714 weeks
29-22.82703 -24.89464 (29*2π)/38713 weeks
30-.18201 -32.86033 (30*2π)/38713 weeks
3121.82064 -22.36903 (31*2π)/38712 weeks
3229.28796 .79472 (32*2π)/38712 weeks
3317.40961 22.03362 (33*2π)/38712 weeks
34-6.7103 28.20816 (34*2π)/38711 weeks
35-29.33668 14.64958 (35*2π)/38711 weeks
36-36.43601 -13.21221 (36*2π)/38711 weeks
37-20.30638 -40.21645 (37*2π)/38710 weeks
3812.37752 -47.93985 (38*2π)/38710 weeks
3941.23301 -29.13388 (39*2π)/38710 weeks
4047.26568 4.13748 (40*2π)/38710 weeks
4128.27479 29.9584 (41*2π)/3879 weeks
42-1.36545 33.68478 (42*2π)/3879 weeks
43-23.04018 15.82925 (43*2π)/3879 weeks
44-24.47782 -11.2617 (44*2π)/3879 weeks
45-5.23037 -30.08443 (45*2π)/3879 weeks
4621.72849 -27.68788 (46*2π)/3878 weeks
4737.50352 -5.63642 (47*2π)/3878 weeks
4831.56021 20.44913 (48*2π)/3878 weeks
499.2043 33.58055 (49*2π)/3878 weeks
50-15.02246 27.47048 (50*2π)/3878 weeks
51-28.31921 6.95503 (51*2π)/3878 weeks
52-24.19999 -17.26873 (52*2π)/3877 weeks
53-4.06353 -32.25068 (53*2π)/3877 weeks
5421.07369 -28.46275 (54*2π)/3877 weeks
5535.54069 -8.0507 (55*2π)/3877 weeks
5631.12045 15.29363 (56*2π)/3877 weeks
5713.00272 27.57542 (57*2π)/3877 weeks
58-6.67957 24.15575 (58*2π)/3877 weeks
59-17.61338 9.21034 (59*2π)/3877 weeks
60-14.69672 -8.12142 (60*2π)/3876 weeks
61-.27784 -17.05803 (61*2π)/3876 weeks
6215.26695 -11.53699 (62*2π)/3876 weeks
6320.23774 3.734 (63*2π)/3876 weeks
6411.71913 16.78054 (64*2π)/3876 weeks
65-3.18912 19.23484 (65*2π)/3876 weeks
66-15.71859 10.95988 (66*2π)/3876 weeks
67-20.29889 -4.10828 (67*2π)/3876 weeks
68-13.63299 -20.12298 (68*2π)/3876 weeks
693.75829 -28.70227 (69*2π)/3876 weeks
7024.13113 -22.67178 (70*2π)/3876 weeks
7135.53077 -3.27998 (71*2π)/3875 weeks
7230.77844 19.50239 (72*2π)/3875 weeks
7311.52203 33.9606 (73*2π)/3875 weeks
74-13.6928 31.97068 (74*2π)/3875 weeks
75-31.93484 12.18683 (75*2π)/3875 weeks
76-30.78628 -16.29779 (76*2π)/3875 weeks
77-8.38994 -35.53975 (77*2π)/3875 weeks
7820.99954 -31.60864 (78*2π)/3875 weeks
7937.10738 -7.5114 (79*2π)/3875 weeks
8030.14882 19.58905 (80*2π)/3875 weeks
816.20983 32.44904 (81*2π)/3875 weeks
82-19.34554 23.92066 (82*2π)/3875 weeks
83-30.86864 -.86698 (83*2π)/3875 weeks
84-20.29797 -26.80398 (84*2π)/3875 weeks
856.30072 -36.60233 (85*2π)/3875 weeks
8631.08809 -23.80793 (86*2π)/3875 weeks
8738.38218 1.78582 (87*2π)/3874 weeks
8826.08023 23.35125 (88*2π)/3874 weeks
893.84255 29.68403 (89*2π)/3874 weeks
90-15.60404 19.2583 (90*2π)/3874 weeks
91-21.77405 -1.67561 (91*2π)/3874 weeks
92-10.32705 -20.60801 (92*2π)/3874 weeks
9311.9278 -24.35397 (93*2π)/3874 weeks
9429.3673 -9.61988 (94*2π)/3874 weeks
9529.74228 13.11697 (95*2π)/3874 weeks
9613.61104 28.64516 (96*2π)/3874 weeks
97-8.49178 28.13168 (97*2π)/3874 weeks
98-23.94101 12.2169 (98*2π)/3874 weeks
99-23.46293 -10.37462 (99*2π)/3874 weeks
100-6.25482 -25.68842 (100*2π)/3874 weeks
10116.70739 -22.86497 (101*2π)/3874 weeks
10229.35996 -3.97536 (102*2π)/3874 weeks
10323.88133 17.20734 (103*2π)/3874 weeks
1045.7724 27.44885 (104*2π)/3874 weeks
105-13.65804 22.80356 (105*2π)/3874 weeks
106-25.26193 6.7316 (106*2π)/3874 weeks
107-23.60932 -13.47381 (107*2π)/3874 weeks
108-8.5938 -27.87519 (108*2π)/3874 weeks
10912.25994 -28.39805 (109*2π)/3874 weeks
11027.58985 -15.1858 (110*2π)/3874 weeks
11130.36305 3.88268 (111*2π)/3873 weeks
11220.64032 19.74708 (112*2π)/3873 weeks
1132.82391 25.60461 (113*2π)/3873 weeks
114-15.0035 17.34085 (114*2π)/3873 weeks
115-21.67152 -2.4156 (115*2π)/3873 weeks
116-10.57655 -21.37865 (116*2π)/3873 weeks
11711.89609 -25.24244 (117*2π)/3873 weeks
11829.93463 -10.39859 (118*2π)/3873 weeks
11931.21184 13.4793 (119*2π)/3873 weeks
12014.40051 31.68493 (120*2π)/3873 weeks
121-11.73427 32.72736 (121*2π)/3873 weeks
122-32.09626 13.68933 (122*2π)/3873 weeks
123-32.41054 -15.75874 (123*2π)/3873 weeks
124-10.39513 -36.69578 (124*2π)/3873 weeks
12519.96309 -34.76411 (125*2π)/3873 weeks
12638.93576 -11.93554 (126*2π)/3873 weeks
12736.04339 16.56252 (127*2π)/3873 weeks
12814.55479 34.3672 (128*2π)/3873 weeks
129-13.14855 32.02348 (129*2π)/3873 weeks
130-31.20597 10.33864 (130*2π)/3873 weeks
131-27.76799 -18.17659 (131*2π)/3873 weeks
132-4.32334 -34.92516 (132*2π)/3873 weeks
13323.25329 -29.00786 (133*2π)/3873 weeks
13437.15786 -5.86507 (134*2π)/3873 weeks
13530.63561 18.86116 (135*2π)/3873 weeks
1369.58072 31.11861 (136*2π)/3873 weeks
137-13.23001 24.93421 (137*2π)/3873 weeks
138-24.09944 4.32562 (138*2π)/3873 weeks
139-15.70563 -17.14422 (139*2π)/3873 weeks
1405.82334 -24.12021 (140*2π)/3873 weeks
14124.23937 -12.17079 (141*2π)/3873 weeks
14226.944 8.74281 (142*2π)/3873 weeks
14313.96662 24.31288 (143*2π)/3873 weeks
144-5.77867 26.2776 (144*2π)/3873 weeks
145-21.71479 14.12576 (145*2π)/3873 weeks
146-25.10434 -6.30907 (146*2π)/3873 weeks
147-12.86228 -23.80644 (147*2π)/3873 weeks
1488.29585 -27.50695 (148*2π)/3873 weeks
14925.52722 -15.55225 (149*2π)/3873 weeks
15029.75325 4.14411 (150*2π)/3873 weeks
15120.22697 21.27814 (151*2π)/3873 weeks
1521.56334 28.26296 (152*2π)/3873 weeks
153-18.16698 20.60261 (153*2π)/3873 weeks
154-27.74132 -.13089 (154*2π)/3873 weeks
155-19.07998 -22.93338 (155*2π)/3872 weeks
1564.30816 -33.048 (156*2π)/3872 weeks
15728.64014 -23.54661 (157*2π)/3872 weeks
15840.20912 .4602 (158*2π)/3872 weeks
15932.70304 26.90205 (159*2π)/3872 weeks
1608.50822 42.41765 (160*2π)/3872 weeks
161-21.05022 37.24183 (161*2π)/3872 weeks
162-39.03794 12.48377 (162*2π)/3872 weeks
163-34.23584 -17.21703 (163*2π)/3872 weeks
164-10.90167 -33.60842 (164*2π)/3872 weeks
16515.06439 -28.6938 (165*2π)/3872 weeks
16628.61806 -8.18328 (166*2π)/3872 weeks
16723.34194 14.80683 (167*2π)/3872 weeks
1682.76006 26.39836 (168*2π)/3872 weeks
169-20.20002 18.13455 (169*2π)/3872 weeks
170-28.94617 -5.70594 (170*2π)/3872 weeks
171-15.96149 -28.33143 (171*2π)/3872 weeks
1729.77478 -33.32433 (172*2π)/3872 weeks
17330.47456 -17.81198 (173*2π)/3872 weeks
17433.44946 7.47039 (174*2π)/3872 weeks
17517.42322 27.22452 (175*2π)/3872 weeks
176-8.43044 29.37654 (176*2π)/3872 weeks
177-28.11052 11.28184 (177*2π)/3872 weeks
178-27.58308 -16.10639 (178*2π)/3872 weeks
179-6.41939 -33.74498 (179*2π)/3872 weeks
18020.33027 -29.52078 (180*2π)/3872 weeks
18134.77143 -7.63643 (181*2π)/3872 weeks
18229.24177 17.21515 (182*2π)/3872 weeks
1838.01848 30.90923 (183*2π)/3872 weeks
184-17.22213 25.84543 (184*2π)/3872 weeks
185-32.11903 3.83367 (185*2π)/3872 weeks
186-26.97022 -22.78839 (186*2π)/3872 weeks
187-4.80724 -37.85074 (187*2π)/3872 weeks
18820.33896 -33.59309 (188*2π)/3872 weeks
18934.95868 -15.06117 (189*2π)/3872 weeks
19034.07026 6.71149 (190*2π)/3872 weeks
19120.02002 21.78886 (191*2π)/3872 weeks
192-.01589 23.24914 (192*2π)/3872 weeks
193-14.87253 9.95453 (193*2π)/3872 weeks
194-14.87253 -9.95453 (194*2π)/3872 weeks
195-.01589 -23.24914 (195*2π)/3872 weeks
19620.02002 -21.78886 (196*2π)/3872 weeks
19734.07026 -6.71149 (197*2π)/3872 weeks
19834.95868 15.06117 (198*2π)/3872 weeks
19920.33896 33.59309 (199*2π)/3872 weeks
200-4.80724 37.85074 (200*2π)/3872 weeks
201-26.97022 22.78839 (201*2π)/3872 weeks
202-32.11903 -3.83367 (202*2π)/3872 weeks
203-17.22213 -25.84543 (203*2π)/3872 weeks
2048.01848 -30.90923 (204*2π)/3872 weeks
20529.24177 -17.21515 (205*2π)/3872 weeks
20634.77143 7.63643 (206*2π)/3872 weeks
20720.33027 29.52078 (207*2π)/3872 weeks
208-6.41939 33.74498 (208*2π)/3872 weeks
209-27.58308 16.10639 (209*2π)/3872 weeks
210-28.11052 -11.28184 (210*2π)/3872 weeks
211-8.43044 -29.37654 (211*2π)/3872 weeks
21217.42322 -27.22452 (212*2π)/3872 weeks
21333.44946 -7.47039 (213*2π)/3872 weeks
21430.47456 17.81198 (214*2π)/3872 weeks
2159.77478 33.32433 (215*2π)/3872 weeks
216-15.96149 28.33143 (216*2π)/3872 weeks
217-28.94617 5.70594 (217*2π)/3872 weeks
218-20.20002 -18.13455 (218*2π)/3872 weeks
2192.76006 -26.39836 (219*2π)/3872 weeks
22023.34194 -14.80683 (220*2π)/3872 weeks
22128.61806 8.18328 (221*2π)/3872 weeks
22215.06439 28.6938 (222*2π)/3872 weeks
223-10.90167 33.60842 (223*2π)/3872 weeks
224-34.23584 17.21703 (224*2π)/3872 weeks
225-39.03794 -12.48377 (225*2π)/3872 weeks
226-21.05022 -37.24183 (226*2π)/3872 weeks
2278.50822 -42.41765 (227*2π)/3872 weeks
22832.70304 -26.90205 (228*2π)/3872 weeks
22940.20912 -.4602 (229*2π)/3872 weeks
23028.64014 23.54661 (230*2π)/3872 weeks
2314.30816 33.048 (231*2π)/3872 weeks
232-19.07998 22.93338 (232*2π)/3872 weeks
233-27.74132 .13089 (233*2π)/3872 weeks
234-18.16698 -20.60261 (234*2π)/3872 weeks
2351.56334 -28.26296 (235*2π)/3872 weeks
23620.22697 -21.27814 (236*2π)/3872 weeks
23729.75325 -4.14411 (237*2π)/3872 weeks
23825.52722 15.55225 (238*2π)/3872 weeks
2398.29585 27.50695 (239*2π)/3872 weeks
240-12.86228 23.80644 (240*2π)/3872 weeks
241-25.10434 6.30907 (241*2π)/3872 weeks
242-21.71479 -14.12576 (242*2π)/3872 weeks
243-5.77867 -26.2776 (243*2π)/3872 weeks
24413.96662 -24.31288 (244*2π)/3872 weeks
24526.944 -8.74281 (245*2π)/3872 weeks
24624.23937 12.17079 (246*2π)/3872 weeks
2475.82334 24.12021 (247*2π)/3872 weeks
248-15.70563 17.14422 (248*2π)/3872 weeks
249-24.09944 -4.32562 (249*2π)/3872 weeks
250-13.23001 -24.93421 (250*2π)/3872 weeks
2519.58072 -31.11861 (251*2π)/3872 weeks
25230.63561 -18.86116 (252*2π)/3872 weeks
25337.15786 5.86507 (253*2π)/3872 weeks
25423.25329 29.00786 (254*2π)/3872 weeks
255-4.32334 34.92516 (255*2π)/3872 weeks
256-27.76799 18.17659 (256*2π)/3872 weeks
257-31.20597 -10.33864 (257*2π)/3872 weeks
258-13.14855 -32.02348 (258*2π)/3872 weeks
25914.55479 -34.3672 (259*2π)/3871 weeks
26036.04339 -16.56252 (260*2π)/3871 weeks
26138.93576 11.93554 (261*2π)/3871 weeks
26219.96309 34.76411 (262*2π)/3871 weeks
263-10.39513 36.69578 (263*2π)/3871 weeks
264-32.41054 15.75874 (264*2π)/3871 weeks
265-32.09626 -13.68933 (265*2π)/3871 weeks
266-11.73427 -32.72736 (266*2π)/3871 weeks
26714.40051 -31.68493 (267*2π)/3871 weeks
26831.21184 -13.4793 (268*2π)/3871 weeks
26929.93463 10.39859 (269*2π)/3871 weeks
27011.89609 25.24244 (270*2π)/3871 weeks
271-10.57655 21.37865 (271*2π)/3871 weeks
272-21.67152 2.4156 (272*2π)/3871 weeks
273-15.0035 -17.34085 (273*2π)/3871 weeks
2742.82391 -25.60461 (274*2π)/3871 weeks
27520.64032 -19.74708 (275*2π)/3871 weeks
27630.36305 -3.88268 (276*2π)/3871 weeks
27727.58985 15.1858 (277*2π)/3871 weeks
27812.25994 28.39805 (278*2π)/3871 weeks
279-8.5938 27.87519 (279*2π)/3871 weeks
280-23.60932 13.47381 (280*2π)/3871 weeks
281-25.26193 -6.7316 (281*2π)/3871 weeks
282-13.65804 -22.80356 (282*2π)/3871 weeks
2835.7724 -27.44885 (283*2π)/3871 weeks
28423.88133 -17.20734 (284*2π)/3871 weeks
28529.35996 3.97536 (285*2π)/3871 weeks
28616.70739 22.86497 (286*2π)/3871 weeks
287-6.25482 25.68842 (287*2π)/3871 weeks
288-23.46293 10.37462 (288*2π)/3871 weeks
289-23.94101 -12.2169 (289*2π)/3871 weeks
290-8.49178 -28.13168 (290*2π)/3871 weeks
29113.61104 -28.64516 (291*2π)/3871 weeks
29229.74228 -13.11697 (292*2π)/3871 weeks
29329.3673 9.61988 (293*2π)/3871 weeks
29411.9278 24.35397 (294*2π)/3871 weeks
295-10.32705 20.60801 (295*2π)/3871 weeks
296-21.77405 1.67561 (296*2π)/3871 weeks
297-15.60404 -19.2583 (297*2π)/3871 weeks
2983.84255 -29.68403 (298*2π)/3871 weeks
29926.08023 -23.35125 (299*2π)/3871 weeks
30038.38218 -1.78582 (300*2π)/3871 weeks
30131.08809 23.80793 (301*2π)/3871 weeks
3026.30072 36.60233 (302*2π)/3871 weeks
303-20.29797 26.80398 (303*2π)/3871 weeks
304-30.86864 .86698 (304*2π)/3871 weeks
305-19.34554 -23.92066 (305*2π)/3871 weeks
3066.20983 -32.44904 (306*2π)/3871 weeks
30730.14882 -19.58905 (307*2π)/3871 weeks
30837.10738 7.5114 (308*2π)/3871 weeks
30920.99954 31.60864 (309*2π)/3871 weeks
310-8.38994 35.53975 (310*2π)/3871 weeks
311-30.78628 16.29779 (311*2π)/3871 weeks
312-31.93484 -12.18683 (312*2π)/3871 weeks
313-13.6928 -31.97068 (313*2π)/3871 weeks
31411.52203 -33.9606 (314*2π)/3871 weeks
31530.77844 -19.50239 (315*2π)/3871 weeks
31635.53077 3.27998 (316*2π)/3871 weeks
31724.13113 22.67178 (317*2π)/3871 weeks
3183.75829 28.70227 (318*2π)/3871 weeks
319-13.63299 20.12298 (319*2π)/3871 weeks
320-20.29889 4.10828 (320*2π)/3871 weeks
321-15.71859 -10.95988 (321*2π)/3871 weeks
322-3.18912 -19.23484 (322*2π)/3871 weeks
32311.71913 -16.78054 (323*2π)/3871 weeks
32420.23774 -3.734 (324*2π)/3871 weeks
32515.26695 11.53699 (325*2π)/3871 weeks
326-.27784 17.05803 (326*2π)/3871 weeks
327-14.69672 8.12142 (327*2π)/3871 weeks
328-17.61338 -9.21034 (328*2π)/3871 weeks
329-6.67957 -24.15575 (329*2π)/3871 weeks
33013.00272 -27.57542 (330*2π)/3871 weeks
33131.12045 -15.29363 (331*2π)/3871 weeks
33235.54069 8.0507 (332*2π)/3871 weeks
33321.07369 28.46275 (333*2π)/3871 weeks
334-4.06353 32.25068 (334*2π)/3871 weeks
335-24.19999 17.26873 (335*2π)/3871 weeks
336-28.31921 -6.95503 (336*2π)/3871 weeks
337-15.02246 -27.47048 (337*2π)/3871 weeks
3389.2043 -33.58055 (338*2π)/3871 weeks
33931.56021 -20.44913 (339*2π)/3871 weeks
34037.50352 5.63642 (340*2π)/3871 weeks
34121.72849 27.68788 (341*2π)/3871 weeks
342-5.23037 30.08443 (342*2π)/3871 weeks
343-24.47782 11.2617 (343*2π)/3871 weeks
344-23.04018 -15.82925 (344*2π)/3871 weeks
345-1.36545 -33.68478 (345*2π)/3871 weeks
34628.27479 -29.9584 (346*2π)/3871 weeks
34747.26568 -4.13748 (347*2π)/3871 weeks
34841.23301 29.13388 (348*2π)/3871 weeks
34912.37752 47.93985 (349*2π)/3871 weeks
350-20.30638 40.21645 (350*2π)/3871 weeks
351-36.43601 13.21221 (351*2π)/3871 weeks
352-29.33668 -14.64958 (352*2π)/3871 weeks
353-6.7103 -28.20816 (353*2π)/3871 weeks
35417.40961 -22.03362 (354*2π)/3871 weeks
35529.28796 -.79472 (355*2π)/3871 weeks
35621.82064 22.36903 (356*2π)/3871 weeks
357-.18201 32.86033 (357*2π)/3871 weeks
358-22.82703 24.89464 (358*2π)/3871 weeks
359-33.887 4.51657 (359*2π)/3871 weeks
360-29.66865 -17.52505 (360*2π)/3871 weeks
361-12.74436 -32.01745 (361*2π)/3871 weeks
3629.7139 -32.03716 (362*2π)/3871 weeks
36326.03314 -16.65928 (363*2π)/3871 weeks
36426.23708 5.31039 (364*2π)/3871 weeks
36510.69975 19.42094 (365*2π)/3871 weeks
366-8.89976 17.26658 (366*2π)/3871 weeks
367-20.03662 2.21006 (367*2π)/3871 weeks
368-17.01978 -15.89472 (368*2π)/3871 weeks
369-1.83503 -26.5867 (369*2π)/3871 weeks
37017.11394 -23.06624 (370*2π)/3871 weeks
37127.95349 -6.04111 (371*2π)/3871 weeks
37222.39499 13.90783 (372*2π)/3871 weeks
3734.09457 23.32074 (373*2π)/3871 weeks
374-15.05176 17.28201 (374*2π)/3871 weeks
375-25.10936 .31596 (375*2π)/3871 weeks
376-21.75471 -19.28757 (376*2π)/3871 weeks
377-5.79883 -32.26079 (377*2π)/3871 weeks
37815.53072 -30.39113 (378*2π)/3871 weeks
37928.79192 -12.77953 (379*2π)/3871 weeks
38023.27215 9.09546 (380*2π)/3871 weeks
3811.49882 18.57824 (381*2π)/3871 weeks
382-21.8018 6.44343 (382*2π)/3871 weeks
383-29.33892 -22.75529 (383*2π)/3871 weeks
384-11.4966 -52.84454 (384*2π)/3871 weeks
38526.76933 -64.25034 (385*2π)/3871 weeks