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# Fourier Analysis of WPCS (WPCS International Inc)

WPCS (WPCS International Inc) appears to have interesting cyclic behaviour every 75 weeks (983.4149*sine), 68 weeks (724.2582*sine), and 50 weeks (261.7015*cosine).

WPCS (WPCS International Inc) has an average price of 2,287.13 (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 10/7/2003 to 1/29/2018 for WPCS (WPCS International Inc), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
02,287.132   0
13,469.764 1,408.446 (1*2π)/748748 weeks
22,878.571 1,582.299 (2*2π)/748374 weeks
32,499.57 1,811.95 (3*2π)/748249 weeks
42,102.645 2,265.93 (4*2π)/748187 weeks
51,300.456 2,410.052 (5*2π)/748150 weeks
6744.421 2,190.965 (6*2π)/748125 weeks
7389.2364 1,963.344 (7*2π)/748107 weeks
832.11239 1,691.272 (8*2π)/74894 weeks
9-129.1492 1,310.134 (9*2π)/74883 weeks
10-149.9381 983.4149 (10*2π)/74875 weeks
11-48.1096 724.2582 (11*2π)/74868 weeks
12116.2166 631.4805 (12*2π)/74862 weeks
13191.2725 625.5286 (13*2π)/74858 weeks
14250.329 624.5369 (14*2π)/74853 weeks
15261.7015 693.9288 (15*2π)/74850 weeks
16193.5657 719.4069 (16*2π)/74847 weeks
17136.9719 705.3982 (17*2π)/74844 weeks
1869.17197 696.4984 (18*2π)/74842 weeks
19-25.84741 640.7106 (19*2π)/74839 weeks
20-72.30622 534.0303 (20*2π)/74837 weeks
21-90.31922 438.9398 (21*2π)/74836 weeks
22-60.12077 319.0598 (22*2π)/74834 weeks
2314.66679 244.4413 (23*2π)/74833 weeks
24115.9121 233.6587 (24*2π)/74831 weeks
25154.2815 267.8878 (25*2π)/74830 weeks
26185.7286 277.8495 (26*2π)/74829 weeks
27205.9069 323.5347 (27*2π)/74828 weeks
28182.8222 366.6037 (28*2π)/74827 weeks
29141.4652 373.42 (29*2π)/74826 weeks
30107.4114 357.926 (30*2π)/74825 weeks
3192.32393 340.0506 (31*2π)/74824 weeks
3266.21009 315.5673 (32*2π)/74823 weeks
3365.21611 276.9088 (33*2π)/74823 weeks
3469.15166 246.0464 (34*2π)/74822 weeks
3597.7888 214.9306 (35*2π)/74821 weeks
36124.5363 209.8135 (36*2π)/74821 weeks
37161.5366 216.3936 (37*2π)/74820 weeks
38176.9502 253.0118 (38*2π)/74820 weeks
39154.7405 292.5473 (39*2π)/74819 weeks
40110.812 290.74 (40*2π)/74819 weeks
4187.92132 281.7009 (41*2π)/74818 weeks
4255.44355 244.0282 (42*2π)/74818 weeks
4365.63566 209.3358 (43*2π)/74817 weeks
4470.84167 186.4578 (44*2π)/74817 weeks
4585.21773 155.9627 (45*2π)/74817 weeks
46119.0733 136.6714 (46*2π)/74816 weeks
47150.9604 134.8354 (47*2π)/74816 weeks
48186.0399 145.0669 (48*2π)/74816 weeks
49216.5667 167.8528 (49*2π)/74815 weeks
50230.5794 219.0865 (50*2π)/74815 weeks
51201.9694 252.7823 (51*2π)/74815 weeks
52186.483 263.8899 (52*2π)/74814 weeks
53169.6648 283.4345 (53*2π)/74814 weeks
54123.377 293.2066 (54*2π)/74814 weeks
55103.7573 260.0404 (55*2π)/74814 weeks
56104.995 247.7582 (56*2π)/74813 weeks
57104.2645 241.6692 (57*2π)/74813 weeks
58105.6355 238.6896 (58*2π)/74813 weeks
59106.2037 238.654 (59*2π)/74813 weeks
60107.5356 243.802 (60*2π)/74812 weeks
61101.3054 261.4648 (61*2π)/74812 weeks
6277.06358 271.4627 (62*2π)/74812 weeks
6347.41306 268.593 (63*2π)/74812 weeks
6421.86982 251.0507 (64*2π)/74812 weeks
654.82287 234.4581 (65*2π)/74812 weeks
66-17.11022 205.722 (66*2π)/74811 weeks
67-23.12673 162.4454 (67*2π)/74811 weeks
68-1.61452 127.7113 (68*2π)/74811 weeks
6919.45445 107.5409 (69*2π)/74811 weeks
7045.09374 95.15253 (70*2π)/74811 weeks
7171.02167 91.50397 (71*2π)/74811 weeks
72100.2293 95.50354 (72*2π)/74810 weeks
73117.7878 121.4797 (73*2π)/74810 weeks
74113.3304 143.0463 (74*2π)/74810 weeks
75104.5599 142.5607 (75*2π)/74810 weeks
76114.1047 151.0307 (76*2π)/74810 weeks
77103.8731 165.4151 (77*2π)/74810 weeks
7891.17329 165.0767 (78*2π)/74810 weeks
7986.6524 157.3449 (79*2π)/7489 weeks
8089.83343 154.0866 (80*2π)/7489 weeks
8194.87154 153.5579 (81*2π)/7489 weeks
8299.42789 163.7336 (82*2π)/7489 weeks
8395.80563 173.3268 (83*2π)/7489 weeks
8484.98569 182.6494 (84*2π)/7489 weeks
8576.58089 186.7256 (85*2π)/7489 weeks
8656.93273 191.7641 (86*2π)/7489 weeks
8738.37335 184.4913 (87*2π)/7489 weeks
8825.46131 165.8785 (88*2π)/7489 weeks
8923.47068 155.0242 (89*2π)/7488 weeks
9015.23164 140.8633 (90*2π)/7488 weeks
9119.00312 118.3103 (91*2π)/7488 weeks
9232.85991 109.9626 (92*2π)/7488 weeks
9339.60367 105.4444 (93*2π)/7488 weeks
9449.18143 102.3822 (94*2π)/7488 weeks
9557.16925 103.6397 (95*2π)/7488 weeks
9662.09763 115.6779 (96*2π)/7488 weeks
9746.59422 118.3395 (97*2π)/7488 weeks
9841.29076 103.2171 (98*2π)/7488 weeks
9947.65727 99.41346 (99*2π)/7488 weeks
10039.34035 90.84982 (100*2π)/7487 weeks
10148.32755 68.80273 (101*2π)/7487 weeks
10270.66273 60.37299 (102*2π)/7487 weeks
10388.83447 64.25718 (103*2π)/7487 weeks
104107.5043 68.34544 (104*2π)/7487 weeks
105126.4098 88.06211 (105*2π)/7487 weeks
106129.8276 112.2642 (106*2π)/7487 weeks
107126.0666 133.5717 (107*2π)/7487 weeks
108113.091 156.2222 (108*2π)/7487 weeks
10989.60445 167.0111 (109*2π)/7487 weeks
11070.29462 167.4019 (110*2π)/7487 weeks
11147.96178 164.8645 (111*2π)/7487 weeks
11230.78548 150.5837 (112*2π)/7487 weeks
11321.72737 128.5894 (113*2π)/7487 weeks
11430.26539 114.1174 (114*2π)/7487 weeks
11530.95393 105.743 (115*2π)/7487 weeks
11643.67028 96.59217 (116*2π)/7486 weeks
11752.78951 100.8796 (117*2π)/7486 weeks
11857.64952 106.7402 (118*2π)/7486 weeks
11957.61455 120.1549 (119*2π)/7486 weeks
12041.30532 128.0422 (120*2π)/7486 weeks
12128.40883 125.6859 (121*2π)/7486 weeks
12210.43872 119.6563 (122*2π)/7486 weeks
123-2.51326 100.0276 (123*2π)/7486 weeks
124-3.31332 77.46277 (124*2π)/7486 weeks
1253.40033 60.10143 (125*2π)/7486 weeks
12611.95029 42.94051 (126*2π)/7486 weeks
12729.30313 26.56605 (127*2π)/7486 weeks
12857.5418 21.76055 (128*2π)/7486 weeks
12978.18763 34.63821 (129*2π)/7486 weeks
13088.93234 48.73944 (130*2π)/7486 weeks
13192.56496 64.35283 (131*2π)/7486 weeks
13291.3116 78.0961 (132*2π)/7486 weeks
13381.45485 91.1701 (133*2π)/7486 weeks
13467.14506 92.93941 (134*2π)/7486 weeks
13558.22066 83.50516 (135*2π)/7486 weeks
13659.32925 78.97642 (136*2π)/7486 weeks
13758.41679 74.38783 (137*2π)/7485 weeks
13858.75655 68.77075 (138*2π)/7485 weeks
13964.96833 60.71698 (139*2π)/7485 weeks
14075.61919 59.10625 (140*2π)/7485 weeks
14193.09611 63.16214 (141*2π)/7485 weeks
14297.27702 83.37775 (142*2π)/7485 weeks
14392.65929 96.97939 (143*2π)/7485 weeks
14486.283 106.5965 (144*2π)/7485 weeks
14572.53527 118.8556 (145*2π)/7485 weeks
14652.72807 117.4596 (146*2π)/7485 weeks
14742.67393 108.0028 (147*2π)/7485 weeks
14837.15002 101.0647 (148*2π)/7485 weeks
14929.86788 92.37405 (149*2π)/7485 weeks
15031.15621 83.04137 (150*2π)/7485 weeks
15132.28622 76.32372 (151*2π)/7485 weeks
15233.7261 70.60843 (152*2π)/7485 weeks
15338.98083 68.90636 (153*2π)/7485 weeks
15438.95646 67.6311 (154*2π)/7485 weeks
15538.34508 68.91198 (155*2π)/7485 weeks
15633.85409 64.94687 (156*2π)/7485 weeks
15730.235 58.03765 (157*2π)/7485 weeks
15832.86659 49.22623 (158*2π)/7485 weeks
15932.60293 40.32416 (159*2π)/7485 weeks
16043.50558 25.72974 (160*2π)/7485 weeks
16161.12442 23.349 (161*2π)/7485 weeks
16275.74229 28.71697 (162*2π)/7485 weeks
16383.1934 37.63424 (163*2π)/7485 weeks
16490.83006 43.75776 (164*2π)/7485 weeks
16598.06145 57.19355 (165*2π)/7485 weeks
16695.69619 74.37519 (166*2π)/7485 weeks
16784.47329 84.63306 (167*2π)/7484 weeks
16873.65885 87.07787 (168*2π)/7484 weeks
16967.49065 88.56267 (169*2π)/7484 weeks
17053.79435 89.55221 (170*2π)/7484 weeks
17144.93401 77.3872 (171*2π)/7484 weeks
17246.47027 66.71071 (172*2π)/7484 weeks
17352.59777 59.49967 (173*2π)/7484 weeks
17461.11511 59.36296 (174*2π)/7484 weeks
17566.29266 65.53027 (175*2π)/7484 weeks
17666.51971 69.06603 (176*2π)/7484 weeks
17766.06197 76.85207 (177*2π)/7484 weeks
17862.74006 81.77885 (178*2π)/7484 weeks
17953.07031 89.21674 (179*2π)/7484 weeks
18040.34769 85.59599 (180*2π)/7484 weeks
18133.99548 78.95584 (181*2π)/7484 weeks
18226.90384 72.16523 (182*2π)/7484 weeks
18325.84381 58.56374 (183*2π)/7484 weeks
18429.94585 50.16784 (184*2π)/7484 weeks
18538.46673 43.02337 (185*2π)/7484 weeks
18646.17867 43.58661 (186*2π)/7484 weeks
18751.48487 43.21101 (187*2π)/7484 weeks
18859.75877 49.03761 (188*2π)/7484 weeks
18958.736 58.13091 (189*2π)/7484 weeks
19053.36002 60.83264 (190*2π)/7484 weeks
19149.68049 64.02602 (191*2π)/7484 weeks
19241.91928 61.9992 (192*2π)/7484 weeks
19338.13206 55.38656 (193*2π)/7484 weeks
19439.64358 48.74426 (194*2π)/7484 weeks
19542.93627 43.6468 (195*2π)/7484 weeks
19651.52302 41.78671 (196*2π)/7484 weeks
19758.53378 45.92809 (197*2π)/7484 weeks
19860.15895 55.13951 (198*2π)/7484 weeks
19959.86585 60.94016 (199*2π)/7484 weeks
20054.82675 72.59772 (200*2π)/7484 weeks
20140.4756 77.70983 (201*2π)/7484 weeks
20227.05619 74.37408 (202*2π)/7484 weeks
20316.61382 68.67075 (203*2π)/7484 weeks
2044.01743 57.94761 (204*2π)/7484 weeks
205-.63703 40.70013 (205*2π)/7484 weeks
206-1.00144 23.42991 (206*2π)/7484 weeks
2079.36529 3.45834 (207*2π)/7484 weeks
20827.10075 -4.08589 (208*2π)/7484 weeks
20940.71232 -5.83076 (209*2π)/7484 weeks
21055.90142 -4.37802 (210*2π)/7484 weeks
21167.19093 4.7395 (211*2π)/7484 weeks
21271.54382 17.00605 (212*2π)/7484 weeks
21369.54765 25.83762 (213*2π)/7484 weeks
21463.31197 32.5187 (214*2π)/7483 weeks
21555.41069 31.84266 (215*2π)/7483 weeks
21651.06351 27.12867 (216*2π)/7483 weeks
21748.79778 21.70949 (217*2π)/7483 weeks
21848.3485 11.56385 (218*2π)/7483 weeks
21955.56931 .41528 (219*2π)/7483 weeks
22072.13017 -6.09642 (220*2π)/7483 weeks
22189.7979 -2.47361 (221*2π)/7483 weeks
222103.7994 10.52679 (222*2π)/7483 weeks
223110.6079 27.38099 (223*2π)/7483 weeks
224109.5339 44.95169 (224*2π)/7483 weeks
225100.7815 60.08731 (225*2π)/7483 weeks
22686.94729 69.59957 (226*2π)/7483 weeks
22772.95319 69.43488 (227*2π)/7483 weeks
22862.65566 66.10194 (228*2π)/7483 weeks
22954.62931 59.32129 (229*2π)/7483 weeks
23051.99658 51.51843 (230*2π)/7483 weeks
23152.21893 43.54701 (231*2π)/7483 weeks
23256.9488 36.92167 (232*2π)/7483 weeks
23365.75037 36.42796 (233*2π)/7483 weeks
23470.43952 41.86551 (234*2π)/7483 weeks
23571.38789 47.43265 (235*2π)/7483 weeks
23670.18384 53.83283 (236*2π)/7483 weeks
23764.86627 62.11056 (237*2π)/7483 weeks
23850.62074 62.73675 (238*2π)/7483 weeks
23943.42122 55.70927 (239*2π)/7483 weeks
24038.42235 48.41585 (240*2π)/7483 weeks
24135.30775 38.90198 (241*2π)/7483 weeks
24238.10172 27.38447 (242*2π)/7483 weeks
24344.88695 18.07839 (243*2π)/7483 weeks
24456.74724 12.18208 (244*2π)/7483 weeks
24571.77115 11.93377 (245*2π)/7483 weeks
24682.89284 20.69386 (246*2π)/7483 weeks
24791.86262 31.6452 (247*2π)/7483 weeks
24893.65194 47.80414 (248*2π)/7483 weeks
24985.70936 60.41085 (249*2π)/7483 weeks
25077.99278 67.78211 (250*2π)/7483 weeks
25167.44609 73.16634 (251*2π)/7483 weeks
25254.71077 72.97038 (252*2π)/7483 weeks
25346.03175 65.54041 (253*2π)/7483 weeks
25443.90262 61.33943 (254*2π)/7483 weeks
25540.69307 55.83516 (255*2π)/7483 weeks
25639.98756 51.01337 (256*2π)/7483 weeks
25741.15086 49.02141 (257*2π)/7483 weeks
25840.21074 43.77701 (258*2π)/7483 weeks
25944.7265 42.90202 (259*2π)/7483 weeks
26045.77042 43.27351 (260*2π)/7483 weeks
26146.36919 45.419 (261*2π)/7483 weeks
26243.52662 46.20823 (262*2π)/7483 weeks
26340.13796 43.53241 (263*2π)/7483 weeks
26442.17009 39.79934 (264*2π)/7483 weeks
26544.76775 38.92036 (265*2π)/7483 weeks
26646.44707 41.08283 (266*2π)/7483 weeks
26746.77179 41.1124 (267*2π)/7483 weeks
26849.71068 45.94069 (268*2π)/7483 weeks
26944.35854 51.97642 (269*2π)/7483 weeks
27038.88983 51.11716 (270*2π)/7483 weeks
27134.6483 53.53652 (271*2π)/7483 weeks
27226.80367 52.64572 (272*2π)/7483 weeks
27317.98689 48.64931 (273*2π)/7483 weeks
27411.12383 38.96183 (274*2π)/7483 weeks
2759.52756 27.16083 (275*2π)/7483 weeks
27613.33042 16.6787 (276*2π)/7483 weeks
27719.07895 8.25979 (277*2π)/7483 weeks
27826.56708 2.44724 (278*2π)/7483 weeks
27937.68707 -1.44256 (279*2π)/7483 weeks
28048.87833 1.82436 (280*2π)/7483 weeks
28154.3516 9.44661 (281*2π)/7483 weeks
28255.39114 15.5551 (282*2π)/7483 weeks
28354.41726 18.92482 (283*2π)/7483 weeks
28454.65298 21.15693 (284*2π)/7483 weeks
28554.88399 23.94058 (285*2π)/7483 weeks
28651.57236 28.3049 (286*2π)/7483 weeks
28748.89506 24.70655 (287*2π)/7483 weeks
28850.64725 24.02562 (288*2π)/7483 weeks
28953.64534 25.72832 (289*2π)/7483 weeks
29054.69174 28.07615 (290*2π)/7483 weeks
29155.14943 33.58572 (291*2π)/7483 weeks
29253.09121 39.1606 (292*2π)/7483 weeks
29346.10079 45.01144 (293*2π)/7483 weeks
29437.5118 45.12689 (294*2π)/7483 weeks
29528.51417 44.59159 (295*2π)/7483 weeks
29618.75525 38.43834 (296*2π)/7483 weeks
29712.17433 25.74118 (297*2π)/7483 weeks
29813.43941 13.11407 (298*2π)/7483 weeks
29920.83057 2.42101 (299*2π)/7483 weeks
30028.95069 -2.78277 (300*2π)/7482 weeks
30138.14551 -7.39907 (301*2π)/7482 weeks
30252.15315 -6.90364 (302*2π)/7482 weeks
30362.62656 2.86754 (303*2π)/7482 weeks
30466.76497 14.47408 (304*2π)/7482 weeks
30562.2931 26.20781 (305*2π)/7482 weeks
30657.51809 32.76461 (306*2π)/7482 weeks
30749.17353 37.92088 (307*2π)/7482 weeks
30839.49405 39.03175 (308*2π)/7482 weeks
30930.26763 35.96746 (309*2π)/7482 weeks
31023.08109 27.28835 (310*2π)/7482 weeks
31124.73196 18.95637 (311*2π)/7482 weeks
31225.34298 14.77695 (312*2π)/7482 weeks
31327.32071 9.40732 (313*2π)/7482 weeks
31433.79385 4.67599 (314*2π)/7482 weeks
31541.37424 9.37205 (315*2π)/7482 weeks
31640.43507 15.93675 (316*2π)/7482 weeks
31736.28931 19.81047 (317*2π)/7482 weeks
31829.4123 20.1481 (318*2π)/7482 weeks
31924.58544 17.96687 (319*2π)/7482 weeks
32016.69665 13.65628 (320*2π)/7482 weeks
32113.40116 3.15436 (321*2π)/7482 weeks
32213.1993 -6.94746 (322*2π)/7482 weeks
32318.47038 -18.28522 (323*2π)/7482 weeks
32429.11905 -26.70473 (324*2π)/7482 weeks
32542.28565 -26.84551 (325*2π)/7482 weeks
32650.42389 -22.8395 (326*2π)/7482 weeks
32756.41796 -17.35382 (327*2π)/7482 weeks
32860.40931 -11.08315 (328*2π)/7482 weeks
32958.42307 -3.14945 (329*2π)/7482 weeks
33053.06573 -.57913 (330*2π)/7482 weeks
33148.67094 -3.04222 (331*2π)/7482 weeks
33247.57072 -8.66123 (332*2π)/7482 weeks
33350.82192 -12.97281 (333*2π)/7482 weeks
33455.67146 -17.84577 (334*2π)/7482 weeks
33564.02281 -20.0234 (335*2π)/7482 weeks
33676.15942 -19.00901 (336*2π)/7482 weeks
33787.99699 -9.74406 (337*2π)/7482 weeks
33892.91665 6.21494 (338*2π)/7482 weeks
33990.82905 18.18576 (339*2π)/7482 weeks
34088.05613 33.87959 (340*2π)/7482 weeks
34176.50621 47.06231 (341*2π)/7482 weeks
34256.99852 56.00879 (342*2π)/7482 weeks
34337.89897 52.42966 (343*2π)/7482 weeks
34422.2676 43.58736 (344*2π)/7482 weeks
34511.60113 30.01084 (345*2π)/7482 weeks
3465.1743 13.74743 (346*2π)/7482 weeks
3475.973 -6.13151 (347*2π)/7482 weeks
34819.77003 -23.10757 (348*2π)/7482 weeks
34933.78572 -26.70857 (349*2π)/7482 weeks
35046.70265 -30.59712 (350*2π)/7482 weeks
35163.00817 -26.9887 (351*2π)/7482 weeks
35273.80512 -15.37143 (352*2π)/7482 weeks
35377.43689 -1.93742 (353*2π)/7482 weeks
35475.18969 10.50815 (354*2π)/7482 weeks
35567.33959 19.81262 (355*2π)/7482 weeks
35658.37206 22.97887 (356*2π)/7482 weeks
35751.18576 22.92467 (357*2π)/7482 weeks
35845.33421 22.83647 (358*2π)/7482 weeks
35937.7318 19.86548 (359*2π)/7482 weeks
36033.91416 14.81615 (360*2π)/7482 weeks
36130.40379 9.49248 (361*2π)/7482 weeks
36230.14595 3.35479 (362*2π)/7482 weeks
36331.11005 -.37306 (363*2π)/7482 weeks
36429.53375 -4.65604 (364*2π)/7482 weeks
36531.954 -11.57533 (365*2π)/7482 weeks
36635.87674 -14.72699 (366*2π)/7482 weeks
36738.12644 -17.8011 (367*2π)/7482 weeks
36840.57193 -22.43106 (368*2π)/7482 weeks
36947.44907 -29.17577 (369*2π)/7482 weeks
37060.42381 -31.15757 (370*2π)/7482 weeks
37169.3412 -24.14417 (371*2π)/7482 weeks
37275.70441 -18.62715 (372*2π)/7482 weeks
37381.43861 -11.81963 (373*2π)/7482 weeks
37484.87383   (374*2π)/7482 weeks
37581.43861 11.81963 (375*2π)/7482 weeks
37675.70441 18.62715 (376*2π)/7482 weeks
37769.3412 24.14417 (377*2π)/7482 weeks
37860.42381 31.15757 (378*2π)/7482 weeks
37947.44907 29.17577 (379*2π)/7482 weeks
38040.57193 22.43106 (380*2π)/7482 weeks
38138.12644 17.8011 (381*2π)/7482 weeks
38235.87674 14.72699 (382*2π)/7482 weeks
38331.954 11.57533 (383*2π)/7482 weeks
38429.53375 4.65604 (384*2π)/7482 weeks
38531.11005 .37306 (385*2π)/7482 weeks
38630.14595 -3.35479 (386*2π)/7482 weeks
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39367.33959 -19.81262 (393*2π)/7482 weeks
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41455.67146 17.84577 (414*2π)/7482 weeks
41550.82192 12.97281 (415*2π)/7482 weeks
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42429.11905 26.70473 (424*2π)/7482 weeks
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