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Fourier Analysis of SQQQ (PROSHARES ULTRAPRO SHORT QQQ PROSHARES ULTRAPRO SHORT QQQ)


SQQQ (PROSHARES ULTRAPRO SHORT QQQ PROSHARES ULTRAPRO SHORT QQQ) appears to have interesting cyclic behaviour every 40 weeks (97.3269*sine), 37 weeks (86.3014*sine), and 25 weeks (53.6955*cosine).

SQQQ (PROSHARES ULTRAPRO SHORT QQQ PROSHARES ULTRAPRO SHORT QQQ) has an average price of 793.25 (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 2/11/2010 to 10/16/2017 for SQQQ (PROSHARES ULTRAPRO SHORT QQQ PROSHARES ULTRAPRO SHORT QQQ), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
0793.2469   0 
1707.613 758.4236 (1*2π)/402402 weeks
2295.7368 554.504 (2*2π)/402201 weeks
3168.1524 445.6331 (3*2π)/402134 weeks
4118.0279 346.2112 (4*2π)/402101 weeks
5106.0428 332.8157 (5*2π)/40280 weeks
612.62348 324.6039 (6*2π)/40267 weeks
7-49.64156 238.9207 (7*2π)/40257 weeks
8-52.99272 159.8331 (8*2π)/40250 weeks
9-23.96913 113.6038 (9*2π)/40245 weeks
10-6.49175 97.32687 (10*2π)/40240 weeks
11-.81189 86.30136 (11*2π)/40237 weeks
12.78475 60.75886 (12*2π)/40234 weeks
1333.70776 55.40628 (13*2π)/40231 weeks
1434.24753 67.73409 (14*2π)/40229 weeks
1532.94249 55.63786 (15*2π)/40227 weeks
1653.69553 55.77327 (16*2π)/40225 weeks
1751.25219 85.61435 (17*2π)/40224 weeks
1824.84344 74.49508 (18*2π)/40222 weeks
1932.12397 53.02633 (19*2π)/40221 weeks
2045.7433 68.78432 (20*2π)/40220 weeks
2126.00934 77.73501 (21*2π)/40219 weeks
2219.93057 63.69119 (22*2π)/40218 weeks
2318.84137 50.47046 (23*2π)/40217 weeks
2427.31475 43.36682 (24*2π)/40217 weeks
2538.15834 50.66159 (25*2π)/40216 weeks
2631.00281 57.06408 (26*2π)/40215 weeks
2728.21366 47.21236 (27*2π)/40215 weeks
2836.51891 47.66734 (28*2π)/40214 weeks
2941.17388 51.83871 (29*2π)/40214 weeks
3039.71066 69.42418 (30*2π)/40213 weeks
3119.75184 72.71866 (31*2π)/40213 weeks
323.51863 60.08536 (32*2π)/40213 weeks
3310.24624 40.46658 (33*2π)/40212 weeks
3423.90815 41.24367 (34*2π)/40212 weeks
3521.26634 56.02792 (35*2π)/40211 weeks
3611.74895 50.2268 (36*2π)/40211 weeks
377.68221 47.18231 (37*2π)/40211 weeks
382.41293 37.29207 (38*2π)/40211 weeks
3912.51179 27.67281 (39*2π)/40210 weeks
4022.72975 28.62461 (40*2π)/40210 weeks
4130.24239 39.1165 (41*2π)/40210 weeks
4219.1835 49.29261 (42*2π)/40210 weeks
4310.83937 45.78806 (43*2π)/4029 weeks
445.15272 40.89067 (44*2π)/4029 weeks
455.89712 33.11988 (45*2π)/4029 weeks
4612.77242 31.96574 (46*2π)/4029 weeks
479.58673 37.35622 (47*2π)/4029 weeks
484.14986 36.87276 (48*2π)/4028 weeks
49-7.0448 28.55429 (49*2π)/4028 weeks
50.23487 11.77389 (50*2π)/4028 weeks
5113.92328 14.18088 (51*2π)/4028 weeks
5212.88319 20.24646 (52*2π)/4028 weeks
5310.28703 19.16357 (53*2π)/4028 weeks
547.334 11.10968 (54*2π)/4027 weeks
5515.39698 1.74936 (55*2π)/4027 weeks
5634.16368 2.93252 (56*2π)/4027 weeks
5741.57458 20.18853 (57*2π)/4027 weeks
5832.03494 32.49133 (58*2π)/4027 weeks
5923.0266 29.35993 (59*2π)/4027 weeks
6025.85512 25.42122 (60*2π)/4027 weeks
6129.72862 31.50463 (61*2π)/4027 weeks
6223.51396 40.33429 (62*2π)/4026 weeks
6314.13758 38.5281 (63*2π)/4026 weeks
6411.1332 33.55988 (64*2π)/4026 weeks
658.88376 31.02986 (65*2π)/4026 weeks
667.21452 30.02753 (66*2π)/4026 weeks
675.42936 27.07822 (67*2π)/4026 weeks
682.59518 21.91904 (68*2π)/4026 weeks
696.37152 13.21587 (69*2π)/4026 weeks
7015.51199 14.15968 (70*2π)/4026 weeks
7116.14554 20.51003 (71*2π)/4026 weeks
7213.32673 20.68244 (72*2π)/4026 weeks
7312.81153 20.14716 (73*2π)/4026 weeks
7414.28015 18.79591 (74*2π)/4025 weeks
7514.10159 20.066 (75*2π)/4025 weeks
7612.10776 22.25132 (76*2π)/4025 weeks
778.7065 16.64285 (77*2π)/4025 weeks
7815.89064 15.52828 (78*2π)/4025 weeks
7915.74331 18.85535 (79*2π)/4025 weeks
8015.12863 19.89675 (80*2π)/4025 weeks
8115.65092 23.00937 (81*2π)/4025 weeks
8210.96983 24.98835 (82*2π)/4025 weeks
835.46753 21.96725 (83*2π)/4025 weeks
845.74292 16.99123 (84*2π)/4025 weeks
857.70823 15.39372 (85*2π)/4025 weeks
8610.95302 14.79022 (86*2π)/4025 weeks
8710.36581 18.62661 (87*2π)/4025 weeks
883.94848 16.88645 (88*2π)/4025 weeks
895.40786 12.56936 (89*2π)/4025 weeks
905.83908 10.30023 (90*2π)/4024 weeks
9110.44393 8.43368 (91*2π)/4024 weeks
929.8618 11.48076 (92*2π)/4024 weeks
936.78242 10.77145 (93*2π)/4024 weeks
949.22975 5.88593 (94*2π)/4024 weeks
9511.28758 5.71717 (95*2π)/4024 weeks
9613.73565 4.99041 (96*2π)/4024 weeks
9715.16673 4.36673 (97*2π)/4024 weeks
9819.96239 4.66978 (98*2π)/4024 weeks
9924.84138 11.69959 (99*2π)/4024 weeks
10019.13193 17.28595 (100*2π)/4024 weeks
10112.70421 17.08245 (101*2π)/4024 weeks
10211.31961 10.81554 (102*2π)/4024 weeks
10318.86064 8.30392 (103*2π)/4024 weeks
10421.02788 15.58513 (104*2π)/4024 weeks
10515.41967 19.07858 (105*2π)/4024 weeks
10610.80774 18.07927 (106*2π)/4024 weeks
10711.21951 14.89298 (107*2π)/4024 weeks
10812.70589 14.97879 (108*2π)/4024 weeks
10910.71939 19.38888 (109*2π)/4024 weeks
1103.04128 18.16318 (110*2π)/4024 weeks
111.7969 8.57443 (111*2π)/4024 weeks
1128.97643 4.95441 (112*2π)/4024 weeks
11311.33779 9.57767 (113*2π)/4024 weeks
1148.50934 11.59157 (114*2π)/4024 weeks
1154.16646 10.8301 (115*2π)/4023 weeks
1162.72808 3.21004 (116*2π)/4023 weeks
1179.9529 -.9512 (117*2π)/4023 weeks
11814.01185 2.17853 (118*2π)/4023 weeks
11913.86786 4.08165 (119*2π)/4023 weeks
12017.27169 3.01404 (120*2π)/4023 weeks
12118.92486 9.04163 (121*2π)/4023 weeks
12215.4975 11.30357 (122*2π)/4023 weeks
12312.72501 12.41146 (123*2π)/4023 weeks
1249.24401 11.44699 (124*2π)/4023 weeks
1258.55214 7.45224 (125*2π)/4023 weeks
12611.15756 7.19124 (126*2π)/4023 weeks
12710.04535 8.14192 (127*2π)/4023 weeks
1288.54576 7.52918 (128*2π)/4023 weeks
1297.05601 5.46031 (129*2π)/4023 weeks
1309.47395 1.24476 (130*2π)/4023 weeks
13112.23013 2.43365 (131*2π)/4023 weeks
13212.56959 3.77724 (132*2π)/4023 weeks
13312.10218 4.36992 (133*2π)/4023 weeks
13412.50353 4.41136 (134*2π)/4023 weeks
1359.66787 4.02303 (135*2π)/4023 weeks
13610.63143 -.60142 (136*2π)/4023 weeks
13715.99312 .33904 (137*2π)/4023 weeks
13815.81488 3.01755 (138*2π)/4023 weeks
13913.8327 3.06668 (139*2π)/4023 weeks
14014.59107 .14431 (140*2π)/4023 weeks
14119.6039 -1.41285 (141*2π)/4023 weeks
14224.69512 4.12693 (142*2π)/4023 weeks
14322.22259 12.67806 (143*2π)/4023 weeks
14414.41066 12.36964 (144*2π)/4023 weeks
14513.34416 7.9031 (145*2π)/4023 weeks
14615.74157 6.52335 (146*2π)/4023 weeks
14720.12895 11.68731 (147*2π)/4023 weeks
14812.63808 19.03922 (148*2π)/4023 weeks
1493.28332 14.28383 (149*2π)/4023 weeks
1503.3395 6.9592 (150*2π)/4023 weeks
1515.09079 3.44615 (151*2π)/4023 weeks
1528.61546 3.93917 (152*2π)/4023 weeks
1536.16491 5.45044 (153*2π)/4023 weeks
1543.40813 1.54235 (154*2π)/4023 weeks
1556.8067 -2.92947 (155*2π)/4023 weeks
15611.41612 -4.24866 (156*2π)/4023 weeks
15713.47172 .691 (157*2π)/4023 weeks
15810.88102 1.51331 (158*2π)/4023 weeks
1599.75118 -.6786 (159*2π)/4023 weeks
1609.9066 -2.18013 (160*2π)/4023 weeks
16111.76546 -4.43434 (161*2π)/4022 weeks
16214.68509 -5.81517 (162*2π)/4022 weeks
16318.92911 -4.30674 (163*2π)/4022 weeks
16420.06295 .84561 (164*2π)/4022 weeks
16515.60439 2.87303 (165*2π)/4022 weeks
16614.73783 -1.9899 (166*2π)/4022 weeks
16719.55257 -2.29557 (167*2π)/4022 weeks
16821.28688 1.5104 (168*2π)/4022 weeks
16920.39271 5.45832 (169*2π)/4022 weeks
17017.03445 5.89318 (170*2π)/4022 weeks
17115.82907 3.7769 (171*2π)/4022 weeks
17217.78207 3.69557 (172*2π)/4022 weeks
17318.73489 6.59505 (173*2π)/4022 weeks
17415.47188 10.11481 (174*2π)/4022 weeks
1758.48839 7.59733 (175*2π)/4022 weeks
17610.85873 1.17691 (176*2π)/4022 weeks
17715.50767 2.92703 (177*2π)/4022 weeks
17813.41088 6.27487 (178*2π)/4022 weeks
1799.85538 5.37967 (179*2π)/4022 weeks
1808.59491 1.68521 (180*2π)/4022 weeks
18111.58333 -2.66756 (181*2π)/4022 weeks
18215.32367 -.3258 (182*2π)/4022 weeks
18316.39696 1.29798 (183*2π)/4022 weeks
18416.30381 3.93579 (184*2π)/4022 weeks
18513.92414 5.77723 (185*2π)/4022 weeks
18611.46838 3.78268 (186*2π)/4022 weeks
18713.84416 3.60184 (187*2π)/4022 weeks
18812.2811 7.07677 (188*2π)/4022 weeks
1897.47842 6.66022 (189*2π)/4022 weeks
1904.97173 2.23674 (190*2π)/4022 weeks
1916.00259 -.28122 (191*2π)/4022 weeks
1925.25008 -3.31855 (192*2π)/4022 weeks
1938.69968 -5.18975 (193*2π)/4022 weeks
1949.38913 -4.55391 (194*2π)/4022 weeks
1958.36447 -8.14652 (195*2π)/4022 weeks
19612.41348 -11.01563 (196*2π)/4022 weeks
19718.70987 -11.05593 (197*2π)/4022 weeks
19822.56294 -6.45526 (198*2π)/4022 weeks
19919.93706 -3.59272 (199*2π)/4022 weeks
20022.20545 -3.903 (200*2π)/4022 weeks
20124.5174   (201*2π)/4022 weeks
20222.20545 3.903 (202*2π)/4022 weeks
20319.93706 3.59272 (203*2π)/4022 weeks
20422.56294 6.45526 (204*2π)/4022 weeks
20518.70987 11.05593 (205*2π)/4022 weeks
20612.41348 11.01563 (206*2π)/4022 weeks
2078.36447 8.14652 (207*2π)/4022 weeks
2089.38913 4.55391 (208*2π)/4022 weeks
2098.69968 5.18975 (209*2π)/4022 weeks
2105.25008 3.31855 (210*2π)/4022 weeks
2116.00259 .28122 (211*2π)/4022 weeks
2124.97173 -2.23674 (212*2π)/4022 weeks
2137.47842 -6.66022 (213*2π)/4022 weeks
21412.2811 -7.07677 (214*2π)/4022 weeks
21513.84416 -3.60184 (215*2π)/4022 weeks
21611.46838 -3.78268 (216*2π)/4022 weeks
21713.92414 -5.77723 (217*2π)/4022 weeks
21816.30381 -3.93579 (218*2π)/4022 weeks
21916.39696 -1.29798 (219*2π)/4022 weeks
22015.32367 .3258 (220*2π)/4022 weeks
22111.58333 2.66756 (221*2π)/4022 weeks
2228.59491 -1.68521 (222*2π)/4022 weeks
2239.85538 -5.37967 (223*2π)/4022 weeks
22413.41088 -6.27487 (224*2π)/4022 weeks
22515.50767 -2.92703 (225*2π)/4022 weeks
22610.85873 -1.17691 (226*2π)/4022 weeks
2278.48839 -7.59733 (227*2π)/4022 weeks
22815.47188 -10.11481 (228*2π)/4022 weeks
22918.73489 -6.59505 (229*2π)/4022 weeks
23017.78207 -3.69557 (230*2π)/4022 weeks
23115.82907 -3.7769 (231*2π)/4022 weeks
23217.03445 -5.89318 (232*2π)/4022 weeks
23320.39271 -5.45832 (233*2π)/4022 weeks
23421.28688 -1.5104 (234*2π)/4022 weeks
23519.55257 2.29557 (235*2π)/4022 weeks
23614.73783 1.9899 (236*2π)/4022 weeks
23715.60439 -2.87303 (237*2π)/4022 weeks
23820.06295 -.84561 (238*2π)/4022 weeks
23918.92911 4.30674 (239*2π)/4022 weeks
24014.68509 5.81517 (240*2π)/4022 weeks
24111.76546 4.43434 (241*2π)/4022 weeks
2429.9066 2.18013 (242*2π)/4022 weeks
2439.75118 .6786 (243*2π)/4022 weeks
24410.88102 -1.51331 (244*2π)/4022 weeks
24513.47172 -.691 (245*2π)/4022 weeks
24611.41612 4.24866 (246*2π)/4022 weeks
2476.8067 2.92947 (247*2π)/4022 weeks
2483.40813 -1.54235 (248*2π)/4022 weeks
2496.16491 -5.45044 (249*2π)/4022 weeks
2508.61546 -3.93917 (250*2π)/4022 weeks
2515.09079 -3.44615 (251*2π)/4022 weeks
2523.3395 -6.9592 (252*2π)/4022 weeks
2533.28332 -14.28383 (253*2π)/4022 weeks
25412.63808 -19.03922 (254*2π)/4022 weeks
25520.12895 -11.68731 (255*2π)/4022 weeks
25615.74157 -6.52335 (256*2π)/4022 weeks
25713.34416 -7.9031 (257*2π)/4022 weeks
25814.41066 -12.36964 (258*2π)/4022 weeks
25922.22259 -12.67806 (259*2π)/4022 weeks
26024.69512 -4.12693 (260*2π)/4022 weeks
26119.6039 1.41285 (261*2π)/4022 weeks
26214.59107 -.14431 (262*2π)/4022 weeks
26313.8327 -3.06668 (263*2π)/4022 weeks
26415.81488 -3.01755 (264*2π)/4022 weeks
26515.99312 -.33904 (265*2π)/4022 weeks
26610.63143 .60142 (266*2π)/4022 weeks
2679.66787 -4.02303 (267*2π)/4022 weeks
26812.50353 -4.41136 (268*2π)/4022 weeks
26912.10218 -4.36992 (269*2π)/4021 weeks
27012.56959 -3.77724 (270*2π)/4021 weeks
27112.23013 -2.43365 (271*2π)/4021 weeks
2729.47395 -1.24476 (272*2π)/4021 weeks
2737.05601 -5.46031 (273*2π)/4021 weeks
2748.54576 -7.52918 (274*2π)/4021 weeks
27510.04535 -8.14192 (275*2π)/4021 weeks
27611.15756 -7.19124 (276*2π)/4021 weeks
2778.55214 -7.45224 (277*2π)/4021 weeks
2789.24401 -11.44699 (278*2π)/4021 weeks
27912.72501 -12.41146 (279*2π)/4021 weeks
28015.4975 -11.30357 (280*2π)/4021 weeks
28118.92486 -9.04163 (281*2π)/4021 weeks
28217.27169 -3.01404 (282*2π)/4021 weeks
28313.86786 -4.08165 (283*2π)/4021 weeks
28414.01185 -2.17853 (284*2π)/4021 weeks
2859.9529 .9512 (285*2π)/4021 weeks
2862.72808 -3.21004 (286*2π)/4021 weeks
2874.16646 -10.8301 (287*2π)/4021 weeks
2888.50934 -11.59157 (288*2π)/4021 weeks
28911.33779 -9.57767 (289*2π)/4021 weeks
2908.97643 -4.95441 (290*2π)/4021 weeks
291.7969 -8.57443 (291*2π)/4021 weeks
2923.04128 -18.16318 (292*2π)/4021 weeks
29310.71939 -19.38888 (293*2π)/4021 weeks
29412.70589 -14.97879 (294*2π)/4021 weeks
29511.21951 -14.89298 (295*2π)/4021 weeks
29610.80774 -18.07927 (296*2π)/4021 weeks
29715.41967 -19.07858 (297*2π)/4021 weeks
29821.02788 -15.58513 (298*2π)/4021 weeks
29918.86064 -8.30392 (299*2π)/4021 weeks
30011.31961 -10.81554 (300*2π)/4021 weeks
30112.70421 -17.08245 (301*2π)/4021 weeks
30219.13193 -17.28595 (302*2π)/4021 weeks
30324.84138 -11.69959 (303*2π)/4021 weeks
30419.96239 -4.66978 (304*2π)/4021 weeks
30515.16673 -4.36673 (305*2π)/4021 weeks
30613.73565 -4.99041 (306*2π)/4021 weeks
30711.28758 -5.71717 (307*2π)/4021 weeks
3089.22975 -5.88593 (308*2π)/4021 weeks
3096.78242 -10.77145 (309*2π)/4021 weeks
3109.8618 -11.48076 (310*2π)/4021 weeks
31110.44393 -8.43368 (311*2π)/4021 weeks
3125.83908 -10.30023 (312*2π)/4021 weeks
3135.40786 -12.56936 (313*2π)/4021 weeks
3143.94848 -16.88645 (314*2π)/4021 weeks
31510.36581 -18.62661 (315*2π)/4021 weeks
31610.95302 -14.79022 (316*2π)/4021 weeks
3177.70823 -15.39372 (317*2π)/4021 weeks
3185.74292 -16.99123 (318*2π)/4021 weeks
3195.46753 -21.96725 (319*2π)/4021 weeks
32010.96983 -24.98835 (320*2π)/4021 weeks
32115.65092 -23.00937 (321*2π)/4021 weeks
32215.12863 -19.89675 (322*2π)/4021 weeks
32315.74331 -18.85535 (323*2π)/4021 weeks
32415.89064 -15.52828 (324*2π)/4021 weeks
3258.7065 -16.64285 (325*2π)/4021 weeks
32612.10776 -22.25132 (326*2π)/4021 weeks
32714.10159 -20.066 (327*2π)/4021 weeks
32814.28015 -18.79591 (328*2π)/4021 weeks
32912.81153 -20.14716 (329*2π)/4021 weeks
33013.32673 -20.68244 (330*2π)/4021 weeks
33116.14554 -20.51003 (331*2π)/4021 weeks
33215.51199 -14.15968 (332*2π)/4021 weeks
3336.37152 -13.21587 (333*2π)/4021 weeks
3342.59518 -21.91904 (334*2π)/4021 weeks
3355.42936 -27.07822 (335*2π)/4021 weeks
3367.21452 -30.02753 (336*2π)/4021 weeks
3378.88376 -31.02986 (337*2π)/4021 weeks
33811.1332 -33.55988 (338*2π)/4021 weeks
33914.13758 -38.5281 (339*2π)/4021 weeks
34023.51396 -40.33429 (340*2π)/4021 weeks
34129.72862 -31.50463 (341*2π)/4021 weeks
34225.85512 -25.42122 (342*2π)/4021 weeks
34323.0266 -29.35993 (343*2π)/4021 weeks
34432.03494 -32.49133 (344*2π)/4021 weeks
34541.57458 -20.18853 (345*2π)/4021 weeks
34634.16368 -2.93252 (346*2π)/4021 weeks
34715.39698 -1.74936 (347*2π)/4021 weeks
3487.334 -11.10968 (348*2π)/4021 weeks
34910.28703 -19.16357 (349*2π)/4021 weeks
35012.88319 -20.24646 (350*2π)/4021 weeks
35113.92328 -14.18088 (351*2π)/4021 weeks
352.23487 -11.77389 (352*2π)/4021 weeks
353-7.0448 -28.55429 (353*2π)/4021 weeks
3544.14986 -36.87276 (354*2π)/4021 weeks
3559.58673 -37.35622 (355*2π)/4021 weeks
35612.77242 -31.96574 (356*2π)/4021 weeks
3575.89712 -33.11988 (357*2π)/4021 weeks
3585.15272 -40.89067 (358*2π)/4021 weeks
35910.83937 -45.78806 (359*2π)/4021 weeks
36019.1835 -49.29261 (360*2π)/4021 weeks
36130.24239 -39.1165 (361*2π)/4021 weeks
36222.72975 -28.62461 (362*2π)/4021 weeks
36312.51179 -27.67281 (363*2π)/4021 weeks
3642.41293 -37.29207 (364*2π)/4021 weeks
3657.68221 -47.18231 (365*2π)/4021 weeks
36611.74895 -50.2268 (366*2π)/4021 weeks
36721.26634 -56.02792 (367*2π)/4021 weeks
36823.90815 -41.24367 (368*2π)/4021 weeks
36910.24624 -40.46658 (369*2π)/4021 weeks
3703.51863 -60.08536 (370*2π)/4021 weeks
37119.75184 -72.71866 (371*2π)/4021 weeks
37239.71066 -69.42418 (372*2π)/4021 weeks
37341.17388 -51.83871 (373*2π)/4021 weeks
37436.51891 -47.66734 (374*2π)/4021 weeks
37528.21366 -47.21236 (375*2π)/4021 weeks
37631.00281 -57.06408 (376*2π)/4021 weeks
37738.15834 -50.66159 (377*2π)/4021 weeks
37827.31475 -43.36682 (378*2π)/4021 weeks
37918.84137 -50.47046 (379*2π)/4021 weeks
38019.93057 -63.69119 (380*2π)/4021 weeks
38126.00934 -77.73501 (381*2π)/4021 weeks
38245.7433 -68.78432 (382*2π)/4021 weeks
38332.12397 -53.02633 (383*2π)/4021 weeks
38424.84344 -74.49508 (384*2π)/4021 weeks
38551.25219 -85.61435 (385*2π)/4021 weeks
38653.69553 -55.77327 (386*2π)/4021 weeks
38732.94249 -55.63786 (387*2π)/4021 weeks
38834.24753 -67.73409 (388*2π)/4021 weeks
38933.70776 -55.40628 (389*2π)/4021 weeks
390.78475 -60.75886 (390*2π)/4021 weeks
391-.81189 -86.30136 (391*2π)/4021 weeks
392-6.49175 -97.32687 (392*2π)/4021 weeks
393-23.96913 -113.6038 (393*2π)/4021 weeks
394-52.99272 -159.8331 (394*2π)/4021 weeks
395-49.64156 -238.9207 (395*2π)/4021 weeks
39612.62348 -324.6039 (396*2π)/4021 weeks
397106.0428 -332.8157 (397*2π)/4021 weeks
398118.0279 -346.2112 (398*2π)/4021 weeks
399168.1524 -445.6331 (399*2π)/4021 weeks
400295.7368 -554.504 (400*2π)/4021 weeks



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