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# Fourier Analysis of CBC

CBC appears to have interesting cyclic behaviour every 77 weeks (1681.49*sine), 70 weeks (1208.656*cosine), and 59 weeks (1096.168*cosine).

CBC has an average price of 3,501.62 (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 1/5/2000 to 10/10/2016 for CBC, this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
03,501.615   0
12,360.83 5,943.308 (1*2π)/767767 weeks
2-3,913.767 3,018.654 (2*2π)/767384 weeks
3-2,318.084 -2,721.833 (3*2π)/767256 weeks
42,644.369 -1,759.644 (4*2π)/767192 weeks
51,864.981 2,666.416 (5*2π)/767153 weeks
6-2,305.519 2,032.176 (6*2π)/767128 weeks
7-1,936.818 -1,943.753 (7*2π)/767110 weeks
81,744.228 -1,886.569 (8*2π)/76796 weeks
91,920.432 1,401.098 (9*2π)/76785 weeks
10-943.9869 1,681.49 (10*2π)/76777 weeks
11-1,208.656 -805.7252 (11*2π)/76770 weeks
12993.8132 -987.2821 (12*2π)/76764 weeks
131,096.168 1,022.209 (13*2π)/76759 weeks
14-756.505 1,080.807 (14*2π)/76755 weeks
15-781.3852 -613.4324 (15*2π)/76751 weeks
16772.327 -582.1421 (16*2π)/76748 weeks
17689.5088 879.835 (17*2π)/76745 weeks
18-708.4432 793.3077 (18*2π)/76743 weeks
19-662.2745 -510.9785 (19*2π)/76740 weeks
20502.1898 -494.0537 (20*2π)/76738 weeks
21469.9082 520.6291 (21*2π)/76737 weeks
22-424.147 443.2345 (22*2π)/76735 weeks
23-302.3374 -360.652 (23*2π)/76733 weeks
24425.6257 -205.0422 (24*2π)/76732 weeks
25240.229 452.3891 (25*2π)/76731 weeks
26-355.4294 234.3754 (26*2π)/76730 weeks
27-101.751 -316.436 (27*2π)/76728 weeks
28430.3249 -34.48516 (28*2π)/76727 weeks
29149.8461 501.4521 (29*2π)/76726 weeks
30-384.5905 265.3989 (30*2π)/76726 weeks
31-217.9042 -228.973 (31*2π)/76725 weeks
32195.9451 -115.476 (32*2π)/76724 weeks
3398.77664 209.3766 (33*2π)/76723 weeks
34-158.9827 107.0339 (34*2π)/76723 weeks
35-57.69409 -103.2449 (35*2π)/76722 weeks
36104.1915 -14.57954 (36*2π)/76721 weeks
3724.23615 86.9281 (37*2π)/76721 weeks
38-15.51388 -2.35053 (38*2π)/76720 weeks
3999.93846 5.61992 (39*2π)/76720 weeks
4066.43314 150.0224 (40*2π)/76719 weeks
41-97.47331 105.9656 (41*2π)/76719 weeks
42-44.86928 -66.76396 (42*2π)/76718 weeks
43138.2867 -2.6839 (43*2π)/76718 weeks
4470.21325 201.0921 (44*2π)/76717 weeks
45-155.6455 150.6277 (45*2π)/76717 weeks
46-140.3661 -79.11941 (46*2π)/76717 weeks
4770.18325 -96.0707 (47*2π)/76716 weeks
48103.3286 88.85366 (48*2π)/76716 weeks
49-67.07708 132.3737 (49*2π)/76716 weeks
50-134.0959 -29.84044 (50*2π)/76715 weeks
516.70349 -135.1724 (51*2π)/76715 weeks
52146.6016 -38.72549 (52*2π)/76715 weeks
53104.9544 114.6987 (53*2π)/76714 weeks
54-43.41652 118.2981 (54*2π)/76714 weeks
55-75.64269 -22.96231 (55*2π)/76714 weeks
5668.76682 -78.89024 (56*2π)/76714 weeks
57157.639 73.49159 (57*2π)/76713 weeks
589.37589 205.6042 (58*2π)/76713 weeks
59-159.7593 81.34988 (59*2π)/76713 weeks
60-69.86214 -103.2452 (60*2π)/76713 weeks
61108.8521 -39.40765 (61*2π)/76713 weeks
6255.44891 125.9831 (62*2π)/76712 weeks
63-99.53161 73.7472 (63*2π)/76712 weeks
64-46.77007 -71.60155 (64*2π)/76712 weeks
6584.64653 -15.31145 (65*2π)/76712 weeks
6616.49145 99.67551 (66*2π)/76712 weeks
67-85.9688 10.90426 (67*2π)/76711 weeks
6827.84386 -86.2917 (68*2π)/76711 weeks
69127.333 53.90647 (69*2π)/76711 weeks
70-38.47077 164.497 (70*2π)/76711 weeks
71-170.3524 -19.90143 (71*2π)/76711 weeks
7218.785 -178.5398 (72*2π)/76711 weeks
73199.4679 -.31285 (73*2π)/76711 weeks
7440.07722 190.7264 (74*2π)/76710 weeks
75-150.6892 50.06157 (75*2π)/76710 weeks
76-26.2085 -136.4758 (76*2π)/76710 weeks
77155.1777 -29.24375 (77*2π)/76710 weeks
7869.65892 143.7429 (78*2π)/76710 weeks
79-87.64544 83.65807 (79*2π)/76710 weeks
80-53.08487 -48.71192 (80*2π)/76710 weeks
8146.23294 -36.65818 (81*2π)/7679 weeks
8251.38276 21.81168 (82*2π)/7679 weeks
8340.38097 35.4859 (83*2π)/7679 weeks
8431.82318 74.15543 (84*2π)/7679 weeks
85-49.51601 83.95976 (85*2π)/7679 weeks
86-82.91644 -25.45742 (86*2π)/7679 weeks
8742.50842 -75.62756 (87*2π)/7679 weeks
8898.67464 65.07623 (88*2π)/7679 weeks
89-65.81385 123.6969 (89*2π)/7679 weeks
90-135.0587 -70.55112 (90*2π)/7679 weeks
9184.10423 -161.8091 (91*2π)/7678 weeks
92201.6108 68.54065 (92*2π)/7678 weeks
93-27.58037 205.5638 (93*2π)/7678 weeks
94-172.4911 -18.41074 (94*2π)/7678 weeks
9550.94834 -162.6264 (95*2π)/7678 weeks
96193.5819 67.24554 (96*2π)/7678 weeks
97-45.78817 213.6894 (97*2π)/7678 weeks
98-202.6536 -31.5412 (98*2π)/7678 weeks
9939.47678 -200.9179 (99*2π)/7678 weeks
100217.1555 28.83588 (100*2π)/7678 weeks
1014.62728 204.9435 (101*2π)/7678 weeks
102-159.7736 7.21568 (102*2π)/7678 weeks
10331.4299 -140.3768 (103*2π)/7677 weeks
104165.4189 52.22863 (104*2π)/7677 weeks
105-30.02901 180.4364 (105*2π)/7677 weeks
106-157.5009 -12.41591 (106*2π)/7677 weeks
10726.38188 -137.4222 (107*2π)/7677 weeks
108144.7912 36.48788 (108*2π)/7677 weeks
109-21.48835 147.8259 (109*2π)/7677 weeks
110-129.542 -10.11815 (110*2π)/7677 weeks
11114.29974 -116.4321 (111*2π)/7677 weeks
112114.6924 8.14391 (112*2π)/7677 weeks
1138.92388 97.44086 (113*2π)/7677 weeks
114-69.32829 7.38997 (114*2π)/7677 weeks
1152.29989 -63.92006 (115*2π)/7677 weeks
11665.29095 -19.79288 (116*2π)/7677 weeks
11755.47853 22.41944 (117*2π)/7677 weeks
11850.02706 40.54722 (118*2π)/7677 weeks
11921.29513 78.57689 (119*2π)/7676 weeks
120-51.90816 54.98616 (120*2π)/7676 weeks
121-36.68458 -39.42801 (121*2π)/7676 weeks
12272.00523 -26.30345 (122*2π)/7676 weeks
12357.16037 99.61124 (123*2π)/7676 weeks
124-89.48733 88.73862 (124*2π)/7676 weeks
125-91.66001 -72.90033 (125*2π)/7676 weeks
12671.1941 -89.93412 (126*2π)/7676 weeks
12792.99829 63.24567 (127*2π)/7676 weeks
128-51.35549 75.34844 (128*2π)/7676 weeks
129-46.55106 -71.86291 (129*2π)/7676 weeks
130115.8297 -55.6233 (130*2π)/7676 weeks
131101.0811 124.5885 (131*2π)/7676 weeks
132-89.06168 120.9961 (132*2π)/7676 weeks
133-96.72829 -68.33913 (133*2π)/7676 weeks
13487.45691 -81.73618 (134*2π)/7676 weeks
135103.5652 99.23473 (135*2π)/7676 weeks
136-75.48097 121.5334 (136*2π)/7676 weeks
137-108.2066 -50.82961 (137*2π)/7676 weeks
13849.33097 -92.52095 (138*2π)/7676 weeks
13992.60611 45.7499 (139*2π)/7676 weeks
140-28.92485 82.96207 (140*2π)/7675 weeks
141-57.79444 -28.06575 (141*2π)/7675 weeks
14247.53988 -51.46949 (142*2π)/7675 weeks
14369.89005 48.60633 (143*2π)/7675 weeks
144-22.84369 72.10992 (144*2π)/7675 weeks
145-46.84113 -11.74121 (145*2π)/7675 weeks
14629.54889 -35.83078 (146*2π)/7675 weeks
14756.72582 35.05078 (147*2π)/7675 weeks
148-6.78036 70.75008 (148*2π)/7675 weeks
149-53.59498 21.82142 (149*2π)/7675 weeks
150-26.33736 -31.56795 (150*2π)/7675 weeks
15125.30419 -26.64307 (151*2π)/7675 weeks
15236.39709 18.67457 (152*2π)/7675 weeks
153-5.8185 40.12692 (153*2π)/7675 weeks
154-39.32079 -4.80225 (154*2π)/7675 weeks
1558.1997 -57.83257 (155*2π)/7675 weeks
15685.0908 -16.66605 (156*2π)/7675 weeks
15760.96267 78.54669 (157*2π)/7675 weeks
158-39.63468 74.24411 (158*2π)/7675 weeks
159-47.40374 -21.87642 (159*2π)/7675 weeks
16044.6772 -31.26658 (160*2π)/7675 weeks
16152.65052 64.53981 (161*2π)/7675 weeks
162-51.2554 77.49931 (162*2π)/7675 weeks
163-76.97974 -28.95612 (163*2π)/7675 weeks
16420.77935 -67.06147 (164*2π)/7675 weeks
16561.829 14.66813 (165*2π)/7675 weeks
166-6.1789 47.89161 (166*2π)/7675 weeks
167-27.20587 -14.90758 (167*2π)/7675 weeks
16837.47375 -27.43557 (168*2π)/7675 weeks
16948.48785 39.48902 (169*2π)/7675 weeks
170-15.14699 52.91667 (170*2π)/7675 weeks
171-28.76265 -.81089 (171*2π)/7674 weeks
17212.65133 -8.24826 (172*2π)/7674 weeks
1738.26038 23.72725 (173*2π)/7674 weeks
174-19.69552 5.92513 (174*2π)/7674 weeks
17510.16061 -22.1582 (175*2π)/7674 weeks
17640.9621 17.26896 (176*2π)/7674 weeks
177-5.36107 53.06102 (177*2π)/7674 weeks
178-47.72008 4.5598 (178*2π)/7674 weeks
179-3.10691 -42.99339 (179*2π)/7674 weeks
18044.35989 -6.79504 (180*2π)/7674 weeks
18116.52743 34.00222 (181*2π)/7674 weeks
182-13.66167 10.48762 (182*2π)/7674 weeks
1839.63499 -9.93308 (183*2π)/7674 weeks
18423.86518 13.12297 (184*2π)/7674 weeks
1855.93738 22.03113 (185*2π)/7674 weeks
1868.11636 14.29143 (186*2π)/7674 weeks
1877.78398 38.3092 (187*2π)/7674 weeks
188-44.85509 41.93485 (188*2π)/7674 weeks
189-67.65931 -34.36155 (189*2π)/7674 weeks
19016.80762 -83.18358 (190*2π)/7674 weeks
19185.3849 -5.19245 (191*2π)/7674 weeks
19218.21832 70.40217 (192*2π)/7674 weeks
193-56.63353 8.94091 (193*2π)/7674 weeks
1944.29111 -66.05798 (194*2π)/7674 weeks
19583.07036 -7.28193 (195*2π)/7674 weeks
19632.41093 73.93027 (196*2π)/7674 weeks
197-44.06525 34.50787 (197*2π)/7674 weeks
198-12.59585 -30.03513 (198*2π)/7674 weeks
19937.89642 .24695 (199*2π)/7674 weeks
2004.26138 39.3607 (200*2π)/7674 weeks
201-27.00124 1.94424 (201*2π)/7674 weeks
20212.40473 -22.86957 (202*2π)/7674 weeks
20330.3344 17.22743 (203*2π)/7674 weeks
204-10.31155 27.67384 (204*2π)/7674 weeks
205-13.10212 -13.44354 (205*2π)/7674 weeks
20628.00896 -8.58115 (206*2π)/7674 weeks
20714.73512 31.84536 (207*2π)/7674 weeks
208-24.53473 8.79954 (208*2π)/7674 weeks
20910.56001 -30.31754 (209*2π)/7674 weeks
21052.47233 18.54138 (210*2π)/7674 weeks
211-9.1048 67.89689 (211*2π)/7674 weeks
212-69.16782 -1.40293 (212*2π)/7674 weeks
2131.58245 -71.03695 (213*2π)/7674 weeks
21475.79079 -1.88661 (214*2π)/7674 weeks
2156.30286 72.67428 (215*2π)/7674 weeks
216-69.36208 -.22158 (216*2π)/7674 weeks
2175.8885 -80.98731 (217*2π)/7674 weeks
21892.79337 -9.86725 (218*2π)/7674 weeks
21931.80481 77.33968 (219*2π)/7674 weeks
220-46.37362 25.50393 (220*2π)/7673 weeks
2214.38996 -39.04647 (221*2π)/7673 weeks
22259.75113 17.81505 (222*2π)/7673 weeks
223-1.9171 72.00978 (223*2π)/7673 weeks
224-56.3203 14.04923 (224*2π)/7673 weeks
225-7.19201 -32.15748 (225*2π)/7673 weeks
22620.99942 14.1572 (226*2π)/7673 weeks
227-35.53366 24.68162 (227*2π)/7673 weeks
228-40.41886 -49.18455 (228*2π)/7673 weeks
22944.74301 -61.26594 (229*2π)/7673 weeks
23066.37672 22.3142 (230*2π)/7673 weeks
231-8.176 45.25109 (231*2π)/7673 weeks
232-24.60437 -23.23591 (232*2π)/7673 weeks
23344.64491 -33.87708 (233*2π)/7673 weeks
23456.59945 36.52877 (234*2π)/7673 weeks
235-7.59095 53.53935 (235*2π)/7673 weeks
236-24.6033 3.58125 (236*2π)/7673 weeks
23710.94865 -3.8018 (237*2π)/7673 weeks
2383.42056 24.65157 (238*2π)/7673 weeks
239-25.3433 5.20116 (239*2π)/7673 weeks
240-.6202 -24.8336 (240*2π)/7673 weeks
24126.1146 2.43317 (241*2π)/7673 weeks
242-6.81656 22.53443 (242*2π)/7673 weeks
243-22.56039 -20.30968 (243*2π)/7673 weeks
24429.73263 -37.12989 (244*2π)/7673 weeks
24550.09106 19.43629 (245*2π)/7673 weeks
246-6.05923 40.43348 (246*2π)/7673 weeks
247-22.83362 -15.76975 (247*2π)/7673 weeks
24837.80744 -27.32092 (248*2π)/7673 weeks
24948.49591 40.65681 (249*2π)/7673 weeks
250-23.67549 56.02412 (250*2π)/7673 weeks
251-44.73724 -13.1816 (251*2π)/7673 weeks
25216.02833 -34.41884 (252*2π)/7673 weeks
25330.05468 19.12516 (253*2π)/7673 weeks
254-22.7326 22.93078 (254*2π)/7673 weeks
255-20.21969 -34.49174 (255*2π)/7673 weeks
25640.95167 -31.99964 (256*2π)/7673 weeks
25740.53555 26.74286 (257*2π)/7673 weeks
258-11.07177 23.66499 (258*2π)/7673 weeks
2591.76189 -23.27962 (259*2π)/7673 weeks
26052.20717 1.18833 (260*2π)/7673 weeks
26122.4264 62.13466 (261*2π)/7673 weeks
262-48.21378 36.92811 (262*2π)/7673 weeks
263-32.99782 -35.67448 (263*2π)/7673 weeks
26433.4564 -27.8095 (264*2π)/7673 weeks
26526.13663 30.7371 (265*2π)/7673 weeks
266-28.92325 20.2363 (266*2π)/7673 weeks
267-18.02407 -36.19121 (267*2π)/7673 weeks
26838.99866 -30.724 (268*2π)/7673 weeks
26941.36492 21.0936 (269*2π)/7673 weeks
270.06341 27.5019 (270*2π)/7673 weeks
271-4.26588 -3.45739 (271*2π)/7673 weeks
27220.97046 -2.96907 (272*2π)/7673 weeks
27317.6594 20.23378 (273*2π)/7673 weeks
274-3.03784 16.79606 (274*2π)/7673 weeks
2751.15084 .41865 (275*2π)/7673 weeks
27614.19298 7.98449 (276*2π)/7673 weeks
2773.11996 21.64977 (277*2π)/7673 weeks
278-13.54352 10.99019 (278*2π)/7673 weeks
279-7.42269 -6.60169 (279*2π)/7673 weeks
2806.65332 -5.22537 (280*2π)/7673 weeks
2816.35441 3.11978 (281*2π)/7673 weeks
2822.07395 .3303 (282*2π)/7673 weeks
2838.084 -3.54394 (283*2π)/7673 weeks
28413.63927 3.68602 (284*2π)/7673 weeks
2857.42254 10.46599 (285*2π)/7673 weeks
2861.82763 5.422 (286*2π)/7673 weeks
2878.49662 2.5045 (287*2π)/7673 weeks
28810.56389 15.09671 (288*2π)/7673 weeks
289-10.14564 21.73482 (289*2π)/7673 weeks
290-27.46171 -4.82245 (290*2π)/7673 weeks
291-.61151 -35.75767 (291*2π)/7673 weeks
29242.93019 -14.18266 (292*2π)/7673 weeks
29329.48527 38.99128 (293*2π)/7673 weeks
294-30.7208 34.61979 (294*2π)/7673 weeks
295-35.78706 -30.85163 (295*2π)/7673 weeks
29632.91393 -46.10226 (296*2π)/7673 weeks
29758.67661 23.03698 (297*2π)/7673 weeks
298-7.28719 58.23772 (298*2π)/7673 weeks
299-48.51913 -1.50543 (299*2π)/7673 weeks
3004.24245 -43.70144 (300*2π)/7673 weeks
30142.89498 4.53221 (301*2π)/7673 weeks
302-4.84161 38.19951 (302*2π)/7673 weeks
303-34.6571 -11.84848 (303*2π)/7673 weeks
30418.10596 -38.8778 (304*2π)/7673 weeks
30541.69007 17.00486 (305*2π)/7673 weeks
306-19.75862 36.42125 (306*2π)/7673 weeks
307-37.44889 -33.95553 (307*2π)/7672 weeks
30842.42898 -55.39974 (308*2π)/7672 weeks
30972.57635 29.62426 (309*2π)/7672 weeks
310-10.65751 69.04065 (310*2π)/7672 weeks
311-55.03764 -6.83057 (311*2π)/7672 weeks
31212.19322 -50.19392 (312*2π)/7672 weeks
31350.25026 10.55881 (313*2π)/7672 weeks
314-6.74814 42.19292 (314*2π)/7672 weeks
315-32.38544 -12.04678 (315*2π)/7672 weeks
31618.25823 -31.05766 (316*2π)/7672 weeks
31727.96211 15.75773 (317*2π)/7672 weeks
318-17.57526 12.99096 (318*2π)/7672 weeks
319-2.00153 -36.17211 (319*2π)/7672 weeks
32054.58262 -11.55677 (320*2π)/7672 weeks
32126.32152 51.83331 (321*2π)/7672 weeks
322-39.23153 22.13521 (322*2π)/7672 weeks
323-5.15812 -41.47758 (323*2π)/7672 weeks
32457.6295 1.91746 (324*2π)/7672 weeks
3253.75848 69.17376 (325*2π)/7672 weeks
326-71.96622 9.64367 (326*2π)/7672 weeks
327-12.92331 -72.24268 (327*2π)/7672 weeks
32868.48498 -15.07592 (328*2π)/7672 weeks
3298.14614 61.45335 (329*2π)/7672 weeks
330-65.597 -8.13092 (330*2π)/7672 weeks
33114.59695 -85.59089 (331*2π)/7672 weeks
332100.3704 .81114 (332*2π)/7672 weeks
33313.64868 94.48419 (333*2π)/7672 weeks
334-84.0709 10.14675 (334*2π)/7672 weeks
335-1.09197 -88.51791 (335*2π)/7672 weeks
33698.58595 -4.88786 (336*2π)/7672 weeks
33714.49417 97.85603 (337*2π)/7672 weeks
338-92.55875 16.1374 (338*2π)/7672 weeks
339-16.48576 -93.61254 (339*2π)/7672 weeks
34092.70779 -24.293 (340*2π)/7672 weeks
34128.53315 82.19114 (341*2π)/7672 weeks
342-75.70541 21.52904 (342*2π)/7672 weeks
343-19.28992 -82.31715 (343*2π)/7672 weeks
34484.13156 -33.35342 (344*2π)/7672 weeks
34545.20927 66.60822 (345*2π)/7672 weeks
346-46.8876 37.05343 (346*2π)/7672 weeks
347-23.04438 -45.09982 (347*2π)/7672 weeks
34850.60924 -23.49286 (348*2π)/7672 weeks
34930.83108 44.96154 (349*2π)/7672 weeks
350-34.07238 29.55118 (350*2π)/7672 weeks
351-25.67608 -30.47448 (351*2π)/7672 weeks
35226.49113 -29.10249 (352*2π)/7672 weeks
35329.94053 13.87096 (353*2π)/7672 weeks
354-4.96705 20.14945 (354*2π)/7672 weeks
355-14.47548 -8.63206 (355*2π)/7672 weeks
3568.27999 -23.07945 (356*2π)/7672 weeks
35728.31897 -8.35076 (357*2π)/7672 weeks
35823.42347 15.47223 (358*2π)/7672 weeks
359-1.68884 19.9543 (359*2π)/7672 weeks
360-13.57183 -5.53309 (360*2π)/7672 weeks
36113.20082 -23.87734 (361*2π)/7672 weeks
36239.16273 4.42489 (362*2π)/7672 weeks
36311.55251 39.20214 (363*2π)/7672 weeks
364-30.53843 15.71469 (364*2π)/7672 weeks
365-12.6022 -29.57436 (365*2π)/7672 weeks
36632.41688 -15.29254 (366*2π)/7672 weeks
36718.85612 28.98766 (367*2π)/7672 weeks
368-26.29252 15.23912 (368*2π)/7672 weeks
369-13.62349 -31.31187 (369*2π)/7672 weeks
37032.91903 -20.737 (370*2π)/7672 weeks
37123.55156 24.35584 (371*2π)/7672 weeks
372-20.43817 14.97906 (372*2π)/7672 weeks
373-11.85773 -29.41816 (373*2π)/7672 weeks
37432.66707 -24.25031 (374*2π)/7672 weeks
37532.88159 17.33825 (375*2π)/7672 weeks
376-1.80331 21.76001 (376*2π)/7672 weeks
377-6.79515 -4.09542 (377*2π)/7672 weeks
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7591,744.228 1,886.569 (759*2π)/7671 weeks
760-1,936.818 1,943.753 (760*2π)/7671 weeks
761-2,305.519 -2,032.176 (761*2π)/7671 weeks
7621,864.981 -2,666.416 (762*2π)/7671 weeks
7632,644.369 1,759.644 (763*2π)/7671 weeks
764-2,318.084 2,721.833 (764*2π)/7671 weeks
765-3,913.767 -3,018.654 (765*2π)/7671 weeks