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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 41 weeks (98.0927*sine), 38 weeks (87.575*sine), and 24 weeks (58.715*cosine).

SQQQ (PROSHARES ULTRAPRO SHORT QQQ PROSHARES ULTRAPRO SHORT QQQ) has an average price of 770.88 (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 1/8/2018 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
0770.8796   0 
1708.6248 738.9514 (1*2π)/414414 weeks
2296.076 549.8195 (2*2π)/414207 weeks
3173.4623 442.9193 (3*2π)/414138 weeks
4116.5024 344.0682 (4*2π)/414104 weeks
5108.6127 319.497 (5*2π)/41483 weeks
629.77847 324.2366 (6*2π)/41469 weeks
7-42.06069 250.288 (7*2π)/41459 weeks
8-53.74929 171.4704 (8*2π)/41452 weeks
9-30.96893 116.8041 (9*2π)/41446 weeks
10-10.56428 98.09267 (10*2π)/41441 weeks
11-2.05786 87.57502 (11*2π)/41438 weeks
12-3.22781 71.83797 (12*2π)/41435 weeks
1322.84783 49.38376 (13*2π)/41432 weeks
1436.44855 63.27488 (14*2π)/41430 weeks
1529.18 60.99477 (15*2π)/41428 weeks
1642.14275 50.43522 (16*2π)/41426 weeks
1758.71495 67.62543 (17*2π)/41424 weeks
1832.46976 83.30003 (18*2π)/41423 weeks
1922.43262 63.05238 (19*2π)/41422 weeks
2042.35296 54.63589 (20*2π)/41421 weeks
2140.1744 73.51659 (21*2π)/41420 weeks
2219.68898 68.82177 (22*2π)/41419 weeks
2317.16883 59.23645 (23*2π)/41418 weeks
2421.08074 46.76973 (24*2π)/41417 weeks
2530.82422 41.48844 (25*2π)/41417 weeks
2636.25019 51.74361 (26*2π)/41416 weeks
2727.59354 54.47863 (27*2π)/41415 weeks
2829.10946 44.90913 (28*2π)/41415 weeks
2936.08635 47.15828 (29*2π)/41414 weeks
3041.12344 51.62937 (30*2π)/41414 weeks
3136.73 68.92569 (31*2π)/41413 weeks
3217.96463 70.30834 (32*2π)/41413 weeks
333.08075 57.39328 (33*2π)/41413 weeks
3410.1826 39.2178 (34*2π)/41412 weeks
3523.03967 39.96348 (35*2π)/41412 weeks
3621.42675 54.18366 (36*2π)/41412 weeks
3711.47568 49.14963 (37*2π)/41411 weeks
387.98296 46.34956 (38*2π)/41411 weeks
392.4868 38.40719 (39*2π)/41411 weeks
4010.54643 27.2384 (40*2π)/41410 weeks
4120.33213 26.96587 (41*2π)/41410 weeks
4228.67188 34.36453 (42*2π)/41410 weeks
4321.88117 47.49613 (43*2π)/41410 weeks
4411.94162 45.63843 (44*2π)/4149 weeks
456.65553 41.99975 (45*2π)/4149 weeks
464.90784 34.26735 (46*2π)/4149 weeks
479.80795 29.51561 (47*2π)/4149 weeks
4811.62702 35.2441 (48*2π)/4149 weeks
496.04333 35.82182 (49*2π)/4148 weeks
50-2.32304 34.51751 (50*2π)/4148 weeks
51-5.74108 18.00216 (51*2π)/4148 weeks
528.35238 10.31904 (52*2π)/4148 weeks
5314.45742 17.58871 (53*2π)/4148 weeks
5411.12584 19.20165 (54*2π)/4148 weeks
557.81496 17.22434 (55*2π)/4148 weeks
569.43683 7.17371 (56*2π)/4147 weeks
5720.68227 -.52836 (57*2π)/4147 weeks
5837.4347 7.56438 (58*2π)/4147 weeks
5939.05515 24.54922 (59*2π)/4147 weeks
6027.95364 31.96412 (60*2π)/4147 weeks
6122.21028 27.0604 (61*2π)/4147 weeks
6226.41344 25.09509 (62*2π)/4147 weeks
6328.75052 32.14834 (63*2π)/4147 weeks
6421.09293 39.48773 (64*2π)/4146 weeks
6512.9689 36.93602 (65*2π)/4146 weeks
6610.78518 32.4923 (66*2π)/4146 weeks
678.65676 29.94013 (67*2π)/4146 weeks
686.89603 29.07777 (68*2π)/4146 weeks
695.28274 26.31639 (69*2π)/4146 weeks
702.57793 21.50853 (70*2π)/4146 weeks
715.65719 13.17584 (71*2π)/4146 weeks
7214.50727 13.29566 (72*2π)/4146 weeks
7316.0924 19.4868 (73*2π)/4146 weeks
7413.1444 20.29117 (74*2π)/4146 weeks
7512.71026 19.65904 (75*2π)/4146 weeks
7613.26192 17.95062 (76*2π)/4145 weeks
7713.6114 19.45699 (77*2π)/4145 weeks
7813.00525 21.2723 (78*2π)/4145 weeks
798.24624 18.67283 (79*2π)/4145 weeks
8013.49949 13.66373 (80*2π)/4145 weeks
8115.48355 17.86304 (81*2π)/4145 weeks
8214.91759 19.29784 (82*2π)/4145 weeks
8315.61306 20.35306 (83*2π)/4145 weeks
8412.65945 23.95678 (84*2π)/4145 weeks
857.44617 23.76637 (85*2π)/4145 weeks
865.03082 18.571 (86*2π)/4145 weeks
876.83449 15.32049 (87*2π)/4145 weeks
888.25044 13.86982 (88*2π)/4145 weeks
8910.95472 16.06879 (89*2π)/4145 weeks
907.75157 19.28981 (90*2π)/4145 weeks
914 14.00296 (91*2π)/4145 weeks
925.52634 11.71513 (92*2π)/4145 weeks
936.2997 8.76232 (93*2π)/4144 weeks
9410.95303 9.56028 (94*2π)/4144 weeks
959.31743 11.2242 (95*2π)/4144 weeks
966.12074 9.04153 (96*2π)/4144 weeks
979.61603 5.74406 (97*2π)/4144 weeks
9811.19566 5.40741 (98*2π)/4144 weeks
9913.63198 5.00913 (99*2π)/4144 weeks
10015.14413 4.06296 (100*2π)/4144 weeks
10119.79825 4.66945 (101*2π)/4144 weeks
10224.04284 11.85051 (102*2π)/4144 weeks
10318.51651 16.82832 (103*2π)/4144 weeks
10412.43699 16.6798 (104*2π)/4144 weeks
10510.93664 10.79268 (105*2π)/4144 weeks
10617.73464 7.67659 (106*2π)/4144 weeks
10720.54382 14.3593 (107*2π)/4144 weeks
10815.51555 18.63415 (108*2π)/4144 weeks
10911.21093 18.24776 (109*2π)/4144 weeks
11010.66375 14.62814 (110*2π)/4144 weeks
11111.84572 14.23827 (111*2π)/4144 weeks
11211.75398 17.97632 (112*2π)/4144 weeks
1135.11104 18.92619 (113*2π)/4144 weeks
114.12847 11.50127 (114*2π)/4144 weeks
1155.95562 4.40374 (115*2π)/4144 weeks
11611.08439 7.79902 (116*2π)/4144 weeks
1179.56639 11.11066 (117*2π)/4144 weeks
1186.44857 11.40106 (118*2π)/4144 weeks
1192.16786 6.77656 (119*2π)/4143 weeks
1205.74694 -.34295 (120*2π)/4143 weeks
12112.41426 .4857 (121*2π)/4143 weeks
12214.01358 3.3597 (122*2π)/4143 weeks
12313.76404 2.93071 (123*2π)/4143 weeks
12418.47483 5.0083 (124*2π)/4143 weeks
12516.94118 10.38585 (125*2π)/4143 weeks
12614.40303 11.50366 (126*2π)/4143 weeks
12711.40137 12.02007 (127*2π)/4143 weeks
1288.21266 10.10061 (128*2π)/4143 weeks
1298.99261 6.58496 (129*2π)/4143 weeks
13010.84016 7.51418 (130*2π)/4143 weeks
1319.54729 7.88498 (131*2π)/4143 weeks
1328.08572 7.06847 (132*2π)/4143 weeks
1336.70074 4.72759 (133*2π)/4143 weeks
1349.82371 1.23587 (134*2π)/4143 weeks
13512.05531 2.48599 (135*2π)/4143 weeks
13612.24333 3.68758 (136*2π)/4143 weeks
13711.75212 4.22272 (137*2π)/4143 weeks
13812.16722 4.28236 (138*2π)/4143 weeks
1399.47303 4.01961 (139*2π)/4143 weeks
14010.09925 -.3281 (140*2π)/4143 weeks
14115.36965 -.03883 (141*2π)/4143 weeks
14215.48567 2.73043 (142*2π)/4143 weeks
14313.72837 3.27721 (143*2π)/4143 weeks
14413.82446 .59644 (144*2π)/4143 weeks
14517.68167 -1.5153 (145*2π)/4143 weeks
14623.38532 2.31151 (146*2π)/4143 weeks
14723.3548 10.32026 (147*2π)/4143 weeks
14815.56591 12.98819 (148*2π)/4143 weeks
14912.45215 8.89269 (149*2π)/4143 weeks
15014.29298 6.82997 (150*2π)/4143 weeks
15118.76698 8.02902 (151*2π)/4143 weeks
15216.5959 16.72408 (152*2π)/4143 weeks
1536.21494 17.015 (153*2π)/4143 weeks
1542.21854 9.32766 (154*2π)/4143 weeks
1553.95284 5.23775 (155*2π)/4143 weeks
1567.02407 2.70126 (156*2π)/4143 weeks
1577.9626 5.13267 (157*2π)/4143 weeks
1584.65003 4.29559 (158*2π)/4143 weeks
1594.01735 -1.04293 (159*2π)/4143 weeks
1607.77571 -3.44166 (160*2π)/4143 weeks
16113.01076 -2.92165 (161*2π)/4143 weeks
16212.2062 1.27845 (162*2π)/4143 weeks
1639.8972 1.12948 (163*2π)/4143 weeks
1649.68452 -1.02275 (164*2π)/4143 weeks
1659.74653 -2.75603 (165*2π)/4143 weeks
16611.80614 -4.53203 (166*2π)/4142 weeks
16714.95261 -5.65845 (167*2π)/4142 weeks
16818.85561 -3.70687 (168*2π)/4142 weeks
16919.219 1.28887 (169*2π)/4142 weeks
17014.79606 2.62031 (170*2π)/4142 weeks
17114.50144 -2.08656 (171*2π)/4142 weeks
17219.05883 -2.18977 (172*2π)/4142 weeks
17320.68118 1.42479 (173*2π)/4142 weeks
17419.98279 5.15038 (174*2π)/4142 weeks
17516.73289 5.74498 (175*2π)/4142 weeks
17615.25598 3.8831 (176*2π)/4142 weeks
17717.03617 3.419 (177*2π)/4142 weeks
17818.25302 5.75763 (178*2π)/4142 weeks
17915.92624 9.32385 (179*2π)/4142 weeks
1809.37907 9.00017 (180*2π)/4142 weeks
1819.34529 1.99566 (181*2π)/4142 weeks
18214.36585 1.59046 (182*2π)/4142 weeks
18314.05749 5.57667 (183*2π)/4142 weeks
18410.65045 5.90412 (184*2π)/4142 weeks
1858.4265 2.97595 (185*2π)/4142 weeks
1869.10749 -1.20447 (186*2π)/4142 weeks
18714.32715 -1.52631 (187*2π)/4142 weeks
18815.36261 .43674 (188*2π)/4142 weeks
18916.14742 2.58883 (189*2π)/4142 weeks
19014.98189 4.96241 (190*2π)/4142 weeks
19111.96731 5.31849 (191*2π)/4142 weeks
19212.05738 2.69241 (192*2π)/4142 weeks
19313.55593 4.87961 (193*2π)/4142 weeks
19410.10811 7.26221 (194*2π)/4142 weeks
1955.82249 5.34967 (195*2π)/4142 weeks
1965.14107 1.00867 (196*2π)/4142 weeks
1975.69208 -.53753 (197*2π)/4142 weeks
1985.90185 -4.41182 (198*2π)/4142 weeks
1998.85083 -4.95538 (199*2π)/4142 weeks
2008.70074 -4.48642 (200*2π)/4142 weeks
2018.75934 -8.73769 (201*2π)/4142 weeks
20212.70982 -11.06258 (202*2π)/4142 weeks
20318.75278 -10.31817 (203*2π)/4142 weeks
20421.9928 -5.67223 (204*2π)/4142 weeks
20519.34859 -3.62923 (205*2π)/4142 weeks
20621.65576 -3.74459 (206*2π)/4142 weeks
20723.81236   (207*2π)/4142 weeks
20821.65576 3.74459 (208*2π)/4142 weeks
20919.34859 3.62923 (209*2π)/4142 weeks
21021.9928 5.67223 (210*2π)/4142 weeks
21118.75278 10.31817 (211*2π)/4142 weeks
21212.70982 11.06258 (212*2π)/4142 weeks
2138.75934 8.73769 (213*2π)/4142 weeks
2148.70074 4.48642 (214*2π)/4142 weeks
2158.85083 4.95538 (215*2π)/4142 weeks
2165.90185 4.41182 (216*2π)/4142 weeks
2175.69208 .53753 (217*2π)/4142 weeks
2185.14107 -1.00867 (218*2π)/4142 weeks
2195.82249 -5.34967 (219*2π)/4142 weeks
22010.10811 -7.26221 (220*2π)/4142 weeks
22113.55593 -4.87961 (221*2π)/4142 weeks
22212.05738 -2.69241 (222*2π)/4142 weeks
22311.96731 -5.31849 (223*2π)/4142 weeks
22414.98189 -4.96241 (224*2π)/4142 weeks
22516.14742 -2.58883 (225*2π)/4142 weeks
22615.36261 -.43674 (226*2π)/4142 weeks
22714.32715 1.52631 (227*2π)/4142 weeks
2289.10749 1.20447 (228*2π)/4142 weeks
2298.4265 -2.97595 (229*2π)/4142 weeks
23010.65045 -5.90412 (230*2π)/4142 weeks
23114.05749 -5.57667 (231*2π)/4142 weeks
23214.36585 -1.59046 (232*2π)/4142 weeks
2339.34529 -1.99566 (233*2π)/4142 weeks
2349.37907 -9.00017 (234*2π)/4142 weeks
23515.92624 -9.32385 (235*2π)/4142 weeks
23618.25302 -5.75763 (236*2π)/4142 weeks
23717.03617 -3.419 (237*2π)/4142 weeks
23815.25598 -3.8831 (238*2π)/4142 weeks
23916.73289 -5.74498 (239*2π)/4142 weeks
24019.98279 -5.15038 (240*2π)/4142 weeks
24120.68118 -1.42479 (241*2π)/4142 weeks
24219.05883 2.18977 (242*2π)/4142 weeks
24314.50144 2.08656 (243*2π)/4142 weeks
24414.79606 -2.62031 (244*2π)/4142 weeks
24519.219 -1.28887 (245*2π)/4142 weeks
24618.85561 3.70687 (246*2π)/4142 weeks
24714.95261 5.65845 (247*2π)/4142 weeks
24811.80614 4.53203 (248*2π)/4142 weeks
2499.74653 2.75603 (249*2π)/4142 weeks
2509.68452 1.02275 (250*2π)/4142 weeks
2519.8972 -1.12948 (251*2π)/4142 weeks
25212.2062 -1.27845 (252*2π)/4142 weeks
25313.01076 2.92165 (253*2π)/4142 weeks
2547.77571 3.44166 (254*2π)/4142 weeks
2554.01735 1.04293 (255*2π)/4142 weeks
2564.65003 -4.29559 (256*2π)/4142 weeks
2577.9626 -5.13267 (257*2π)/4142 weeks
2587.02407 -2.70126 (258*2π)/4142 weeks
2593.95284 -5.23775 (259*2π)/4142 weeks
2602.21854 -9.32766 (260*2π)/4142 weeks
2616.21494 -17.015 (261*2π)/4142 weeks
26216.5959 -16.72408 (262*2π)/4142 weeks
26318.76698 -8.02902 (263*2π)/4142 weeks
26414.29298 -6.82997 (264*2π)/4142 weeks
26512.45215 -8.89269 (265*2π)/4142 weeks
26615.56591 -12.98819 (266*2π)/4142 weeks
26723.3548 -10.32026 (267*2π)/4142 weeks
26823.38532 -2.31151 (268*2π)/4142 weeks
26917.68167 1.5153 (269*2π)/4142 weeks
27013.82446 -.59644 (270*2π)/4142 weeks
27113.72837 -3.27721 (271*2π)/4142 weeks
27215.48567 -2.73043 (272*2π)/4142 weeks
27315.36965 .03883 (273*2π)/4142 weeks
27410.09925 .3281 (274*2π)/4142 weeks
2759.47303 -4.01961 (275*2π)/4142 weeks
27612.16722 -4.28236 (276*2π)/4142 weeks
27711.75212 -4.22272 (277*2π)/4141 weeks
27812.24333 -3.68758 (278*2π)/4141 weeks
27912.05531 -2.48599 (279*2π)/4141 weeks
2809.82371 -1.23587 (280*2π)/4141 weeks
2816.70074 -4.72759 (281*2π)/4141 weeks
2828.08572 -7.06847 (282*2π)/4141 weeks
2839.54729 -7.88498 (283*2π)/4141 weeks
28410.84016 -7.51418 (284*2π)/4141 weeks
2858.99261 -6.58496 (285*2π)/4141 weeks
2868.21266 -10.10061 (286*2π)/4141 weeks
28711.40137 -12.02007 (287*2π)/4141 weeks
28814.40303 -11.50366 (288*2π)/4141 weeks
28916.94118 -10.38585 (289*2π)/4141 weeks
29018.47483 -5.0083 (290*2π)/4141 weeks
29113.76404 -2.93071 (291*2π)/4141 weeks
29214.01358 -3.3597 (292*2π)/4141 weeks
29312.41426 -.4857 (293*2π)/4141 weeks
2945.74694 .34295 (294*2π)/4141 weeks
2952.16786 -6.77656 (295*2π)/4141 weeks
2966.44857 -11.40106 (296*2π)/4141 weeks
2979.56639 -11.11066 (297*2π)/4141 weeks
29811.08439 -7.79902 (298*2π)/4141 weeks
2995.95562 -4.40374 (299*2π)/4141 weeks
300.12847 -11.50127 (300*2π)/4141 weeks
3015.11104 -18.92619 (301*2π)/4141 weeks
30211.75398 -17.97632 (302*2π)/4141 weeks
30311.84572 -14.23827 (303*2π)/4141 weeks
30410.66375 -14.62814 (304*2π)/4141 weeks
30511.21093 -18.24776 (305*2π)/4141 weeks
30615.51555 -18.63415 (306*2π)/4141 weeks
30720.54382 -14.3593 (307*2π)/4141 weeks
30817.73464 -7.67659 (308*2π)/4141 weeks
30910.93664 -10.79268 (309*2π)/4141 weeks
31012.43699 -16.6798 (310*2π)/4141 weeks
31118.51651 -16.82832 (311*2π)/4141 weeks
31224.04284 -11.85051 (312*2π)/4141 weeks
31319.79825 -4.66945 (313*2π)/4141 weeks
31415.14413 -4.06296 (314*2π)/4141 weeks
31513.63198 -5.00913 (315*2π)/4141 weeks
31611.19566 -5.40741 (316*2π)/4141 weeks
3179.61603 -5.74406 (317*2π)/4141 weeks
3186.12074 -9.04153 (318*2π)/4141 weeks
3199.31743 -11.2242 (319*2π)/4141 weeks
32010.95303 -9.56028 (320*2π)/4141 weeks
3216.2997 -8.76232 (321*2π)/4141 weeks
3225.52634 -11.71513 (322*2π)/4141 weeks
3234 -14.00296 (323*2π)/4141 weeks
3247.75157 -19.28981 (324*2π)/4141 weeks
32510.95472 -16.06879 (325*2π)/4141 weeks
3268.25044 -13.86982 (326*2π)/4141 weeks
3276.83449 -15.32049 (327*2π)/4141 weeks
3285.03082 -18.571 (328*2π)/4141 weeks
3297.44617 -23.76637 (329*2π)/4141 weeks
33012.65945 -23.95678 (330*2π)/4141 weeks
33115.61306 -20.35306 (331*2π)/4141 weeks
33214.91759 -19.29784 (332*2π)/4141 weeks
33315.48355 -17.86304 (333*2π)/4141 weeks
33413.49949 -13.66373 (334*2π)/4141 weeks
3358.24624 -18.67283 (335*2π)/4141 weeks
33613.00525 -21.2723 (336*2π)/4141 weeks
33713.6114 -19.45699 (337*2π)/4141 weeks
33813.26192 -17.95062 (338*2π)/4141 weeks
33912.71026 -19.65904 (339*2π)/4141 weeks
34013.1444 -20.29117 (340*2π)/4141 weeks
34116.0924 -19.4868 (341*2π)/4141 weeks
34214.50727 -13.29566 (342*2π)/4141 weeks
3435.65719 -13.17584 (343*2π)/4141 weeks
3442.57793 -21.50853 (344*2π)/4141 weeks
3455.28274 -26.31639 (345*2π)/4141 weeks
3466.89603 -29.07777 (346*2π)/4141 weeks
3478.65676 -29.94013 (347*2π)/4141 weeks
34810.78518 -32.4923 (348*2π)/4141 weeks
34912.9689 -36.93602 (349*2π)/4141 weeks
35021.09293 -39.48773 (350*2π)/4141 weeks
35128.75052 -32.14834 (351*2π)/4141 weeks
35226.41344 -25.09509 (352*2π)/4141 weeks
35322.21028 -27.0604 (353*2π)/4141 weeks
35427.95364 -31.96412 (354*2π)/4141 weeks
35539.05515 -24.54922 (355*2π)/4141 weeks
35637.4347 -7.56438 (356*2π)/4141 weeks
35720.68227 .52836 (357*2π)/4141 weeks
3589.43683 -7.17371 (358*2π)/4141 weeks
3597.81496 -17.22434 (359*2π)/4141 weeks
36011.12584 -19.20165 (360*2π)/4141 weeks
36114.45742 -17.58871 (361*2π)/4141 weeks
3628.35238 -10.31904 (362*2π)/4141 weeks
363-5.74108 -18.00216 (363*2π)/4141 weeks
364-2.32304 -34.51751 (364*2π)/4141 weeks
3656.04333 -35.82182 (365*2π)/4141 weeks
36611.62702 -35.2441 (366*2π)/4141 weeks
3679.80795 -29.51561 (367*2π)/4141 weeks
3684.90784 -34.26735 (368*2π)/4141 weeks
3696.65553 -41.99975 (369*2π)/4141 weeks
37011.94162 -45.63843 (370*2π)/4141 weeks
37121.88117 -47.49613 (371*2π)/4141 weeks
37228.67188 -34.36453 (372*2π)/4141 weeks
37320.33213 -26.96587 (373*2π)/4141 weeks
37410.54643 -27.2384 (374*2π)/4141 weeks
3752.4868 -38.40719 (375*2π)/4141 weeks
3767.98296 -46.34956 (376*2π)/4141 weeks
37711.47568 -49.14963 (377*2π)/4141 weeks
37821.42675 -54.18366 (378*2π)/4141 weeks
37923.03967 -39.96348 (379*2π)/4141 weeks
38010.1826 -39.2178 (380*2π)/4141 weeks
3813.08075 -57.39328 (381*2π)/4141 weeks
38217.96463 -70.30834 (382*2π)/4141 weeks
38336.73 -68.92569 (383*2π)/4141 weeks
38441.12344 -51.62937 (384*2π)/4141 weeks
38536.08635 -47.15828 (385*2π)/4141 weeks
38629.10946 -44.90913 (386*2π)/4141 weeks
38727.59354 -54.47863 (387*2π)/4141 weeks
38836.25019 -51.74361 (388*2π)/4141 weeks
38930.82422 -41.48844 (389*2π)/4141 weeks
39021.08074 -46.76973 (390*2π)/4141 weeks
39117.16883 -59.23645 (391*2π)/4141 weeks
39219.68898 -68.82177 (392*2π)/4141 weeks
39340.1744 -73.51659 (393*2π)/4141 weeks
39442.35296 -54.63589 (394*2π)/4141 weeks
39522.43262 -63.05238 (395*2π)/4141 weeks
39632.46976 -83.30003 (396*2π)/4141 weeks
39758.71495 -67.62543 (397*2π)/4141 weeks
39842.14275 -50.43522 (398*2π)/4141 weeks
39929.18 -60.99477 (399*2π)/4141 weeks
40036.44855 -63.27488 (400*2π)/4141 weeks
40122.84783 -49.38376 (401*2π)/4141 weeks
402-3.22781 -71.83797 (402*2π)/4141 weeks
403-2.05786 -87.57502 (403*2π)/4141 weeks
404-10.56428 -98.09267 (404*2π)/4141 weeks
405-30.96893 -116.8041 (405*2π)/4141 weeks
406-53.74929 -171.4704 (406*2π)/4141 weeks
407-42.06069 -250.288 (407*2π)/4141 weeks
40829.77847 -324.2366 (408*2π)/4141 weeks
409108.6127 -319.497 (409*2π)/4141 weeks
410116.5024 -344.0682 (410*2π)/4141 weeks
411173.4623 -442.9193 (411*2π)/4141 weeks
412296.076 -549.8195 (412*2π)/4141 weeks



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