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Fourier Analysis of SRS (PROSHARES ULTRASHORT REAL ESTATE PROSHARES ULTRASHORT REAL ESTATE)


SRS (PROSHARES ULTRASHORT REAL ESTATE PROSHARES ULTRASHORT REAL ESTATE) appears to have interesting cyclic behaviour every 43 weeks (197.1891*sine), 18 weeks (180.782*sine), and 22 weeks (180.1183*sine).

SRS (PROSHARES ULTRASHORT REAL ESTATE PROSHARES ULTRASHORT REAL ESTATE) has an average price of 1,179.07 (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 2/1/2007 to 11/6/2017 for SRS (PROSHARES ULTRASHORT REAL ESTATE PROSHARES ULTRASHORT REAL ESTATE), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
01,179.07   0 
11,506.156 1,321.756 (1*2π)/563563 weeks
2332.5926 1,516.776 (2*2π)/563282 weeks
3-396.0995 947.7946 (3*2π)/563188 weeks
4-422.7494 286.9922 (4*2π)/563141 weeks
5-86.95197 41.35878 (5*2π)/563113 weeks
6117.7693 158.6335 (6*2π)/56394 weeks
738.00796 316.7181 (7*2π)/56380 weeks
8-143.1396 265.994 (8*2π)/56370 weeks
9-174.6389 73.56231 (9*2π)/56363 weeks
10-44.9918 -41.26409 (10*2π)/56356 weeks
11102.1236 -3.79257 (11*2π)/56351 weeks
12128.8022 124.4434 (12*2π)/56347 weeks
1347.92059 197.1891 (13*2π)/56343 weeks
14-46.29514 176.4301 (14*2π)/56340 weeks
15-89.42943 102.81 (15*2π)/56338 weeks
16-69.63307 34.472 (16*2π)/56335 weeks
17-24.73674 5.92867 (17*2π)/56333 weeks
1819.62599 7.00866 (18*2π)/56331 weeks
1939.38737 36.69127 (19*2π)/56330 weeks
2030.23134 57.61508 (20*2π)/56328 weeks
2110.20577 56.76867 (21*2π)/56327 weeks
224.96287 32.26406 (22*2π)/56326 weeks
2335.55173 9.64003 (23*2π)/56324 weeks
2488.42228 32.58315 (24*2π)/56323 weeks
25100.2176 112.6466 (25*2π)/56323 weeks
2621.01418 180.1183 (26*2π)/56322 weeks
27-95.29942 146.4217 (27*2π)/56321 weeks
28-130.468 21.15841 (28*2π)/56320 weeks
29-42.64372 -77.91213 (29*2π)/56319 weeks
3091.65462 -49.70852 (30*2π)/56319 weeks
31126.8513 85.83191 (31*2π)/56318 weeks
3215.93048 180.782 (32*2π)/56318 weeks
33-123.6257 123.8177 (33*2π)/56317 weeks
34-140.1142 -27.77249 (34*2π)/56317 weeks
35-18.69566 -112.335 (35*2π)/56316 weeks
36102.2905 -51.88395 (36*2π)/56316 weeks
37105.2936 65.91059 (37*2π)/56315 weeks
3816.41862 115.9662 (38*2π)/56315 weeks
39-55.14742 66.40449 (39*2π)/56314 weeks
40-45.7272 -8.08747 (40*2π)/56314 weeks
4118.26226 -30.21181 (41*2π)/56314 weeks
4263.23328 12.15807 (42*2π)/56313 weeks
4345.03223 67.78513 (43*2π)/56313 weeks
44-3.78575 74.7278 (44*2π)/56313 weeks
45-31.82192 41.09999 (45*2π)/56313 weeks
46-16.40333 6.16048 (46*2π)/56312 weeks
4715.49191 6.70423 (47*2π)/56312 weeks
4827.03132 31.99182 (48*2π)/56312 weeks
4912.41776 53.28079 (49*2π)/56311 weeks
50-15.2632 53.95006 (50*2π)/56311 weeks
51-33.39349 34.70986 (51*2π)/56311 weeks
52-32.77657 6.85591 (52*2π)/56311 weeks
53-14.09568 -9.20479 (53*2π)/56311 weeks
547.69105 -9.45103 (54*2π)/56310 weeks
5521.20556 3.64774 (55*2π)/56310 weeks
5620.37205 19.59014 (56*2π)/56310 weeks
578.20765 27.52671 (57*2π)/56310 weeks
58-4.7548 20.44125 (58*2π)/56310 weeks
59.43274 2.35731 (59*2π)/56310 weeks
6023.75657 1.87678 (60*2π)/5639 weeks
6135.47907 29.01067 (61*2π)/5639 weeks
6213.63336 57.80902 (62*2π)/5639 weeks
63-30.63483 52.97906 (63*2π)/5639 weeks
64-49.68255 6.46998 (64*2π)/5639 weeks
65-20.77824 -31.80227 (65*2π)/5639 weeks
6623.50619 -30.12469 (66*2π)/5639 weeks
6741.51428 4.4453 (67*2π)/5638 weeks
6822.79836 27.39682 (68*2π)/5638 weeks
695.99961 18.18572 (69*2π)/5638 weeks
7013.49455 5.40237 (70*2π)/5638 weeks
7132.71492 15.16525 (71*2π)/5638 weeks
7227.3794 45.58816 (72*2π)/5638 weeks
73-8.05117 55.36158 (73*2π)/5638 weeks
74-35.5969 28.91247 (74*2π)/5638 weeks
75-29.71992 -8.31806 (75*2π)/5638 weeks
764.33224 -21.72422 (76*2π)/5637 weeks
7726.85949 -1.20896 (77*2π)/5637 weeks
7821.90042 24.1872 (78*2π)/5637 weeks
79-3.57372 31.94148 (79*2π)/5637 weeks
80-23.37647 7.31297 (80*2π)/5637 weeks
81-6.73183 -22.87977 (81*2π)/5637 weeks
8229.46873 -23.80325 (82*2π)/5637 weeks
8352.21853 8.92545 (83*2π)/5637 weeks
8434.62987 47.49962 (84*2π)/5637 weeks
85-7.5708 53.12214 (85*2π)/5637 weeks
86-36.38005 20.45508 (86*2π)/5637 weeks
87-22.26491 -23.26614 (87*2π)/5636 weeks
8821.82213 -31.15521 (88*2π)/5636 weeks
8949.82819 -.74818 (89*2π)/5636 weeks
9040.73185 36.92215 (90*2π)/5636 weeks
918.23867 49.45604 (91*2π)/5636 weeks
92-17.2 32.431 (92*2π)/5636 weeks
93-16.29901 5.40619 (93*2π)/5636 weeks
944.79306 -3.62091 (94*2π)/5636 weeks
9519.05743 11.00633 (95*2π)/5636 weeks
9610.9024 30.2454 (96*2π)/5636 weeks
97-11.77003 33.25823 (97*2π)/5636 weeks
98-30.9037 14.32438 (98*2π)/5636 weeks
99-26.7517 -15.48883 (99*2π)/5636 weeks
100.7385 -31.23142 (100*2π)/5636 weeks
10128.63821 -17.93412 (101*2π)/5636 weeks
10232.81749 10.30116 (102*2π)/5636 weeks
10312.52224 27.20271 (103*2π)/5635 weeks
104-12.14793 18.54425 (104*2π)/5635 weeks
105-16.7665 -9.46094 (105*2π)/5635 weeks
1066.66818 -28.94869 (106*2π)/5635 weeks
10737.07922 -19.57499 (107*2π)/5635 weeks
10847.40637 11.43637 (108*2π)/5635 weeks
10926.80539 37.23592 (109*2π)/5635 weeks
110-4.76404 33.54761 (110*2π)/5635 weeks
111-17.18442 4.78927 (111*2π)/5635 weeks
1122.98027 -20.4388 (112*2π)/5635 weeks
11335.86986 -13.92367 (113*2π)/5635 weeks
11446.48229 19.20428 (114*2π)/5635 weeks
11523.92119 45.82573 (115*2π)/5635 weeks
116-9.05808 41.64515 (116*2π)/5635 weeks
117-23.49052 13.39003 (117*2π)/5635 weeks
118-7.53185 -11.76153 (118*2π)/5635 weeks
11919.47249 -9.89203 (119*2π)/5635 weeks
12029.24483 14.63017 (120*2π)/5635 weeks
12111.73667 34.08348 (121*2π)/5635 weeks
122-14.6527 27.84725 (122*2π)/5635 weeks
123-23.35623 .41375 (123*2π)/5635 weeks
124-3.20717 -23.11184 (124*2π)/5635 weeks
12527.94879 -16.67001 (125*2π)/5635 weeks
12638.55478 13.583 (126*2π)/5634 weeks
12717.55987 38.00703 (127*2π)/5634 weeks
128-12.65573 32.33685 (128*2π)/5634 weeks
129-23.57527 5.33511 (129*2π)/5634 weeks
130-8.38252 -16.33749 (130*2π)/5634 weeks
13115.50885 -14.96228 (131*2π)/5634 weeks
13224.47414 4.11396 (132*2π)/5634 weeks
13312.00666 18.39435 (133*2π)/5634 weeks
134-5.83571 12.17694 (134*2π)/5634 weeks
135-7.23778 -9.23162 (135*2π)/5634 weeks
13614.92448 -22.16259 (136*2π)/5634 weeks
13739.67327 -8.66679 (137*2π)/5634 weeks
13843.92791 20.97894 (138*2π)/5634 weeks
13922.86572 44.68359 (139*2π)/5634 weeks
140-9.80351 42.53088 (140*2π)/5634 weeks
141-27.54685 16.56198 (141*2π)/5634 weeks
142-19.44283 -10.99676 (142*2π)/5634 weeks
1435.25956 -21.54091 (143*2π)/5634 weeks
14427.00054 -7.98046 (144*2π)/5634 weeks
14527.09779 15.68795 (145*2π)/5634 weeks
1466.27016 27.36491 (146*2π)/5634 weeks
147-13.70765 12.16053 (147*2π)/5634 weeks
148-6.69481 -13.65769 (148*2π)/5634 weeks
14921.00548 -17.41406 (149*2π)/5634 weeks
15038.41631 6.80454 (150*2π)/5634 weeks
15124.36182 36.00508 (151*2π)/5634 weeks
152-9.34428 37.83527 (152*2π)/5634 weeks
153-28.46037 9.71458 (153*2π)/5634 weeks
154-14.73201 -21.42353 (154*2π)/5634 weeks
15518.50989 -25.63341 (155*2π)/5634 weeks
15637.84841 -.60352 (156*2π)/5634 weeks
15727.35658 26.67934 (157*2π)/5634 weeks
158.97359 31.02449 (158*2π)/5634 weeks
159-14.94194 12.26331 (159*2π)/5634 weeks
160-6.26582 -9.33217 (160*2π)/5634 weeks
16115.93779 -11.0359 (161*2π)/5633 weeks
16227.04818 8.42124 (162*2π)/5633 weeks
16314.37692 26.71803 (163*2π)/5633 weeks
164-6.77783 25.28172 (164*2π)/5633 weeks
165-18.1 7.70574 (165*2π)/5633 weeks
166-11.12279 -12.46495 (166*2π)/5633 weeks
16710.07306 -19.34824 (167*2π)/5633 weeks
16828.0179 -5.33905 (168*2π)/5633 weeks
16926.18504 17.10339 (169*2π)/5633 weeks
1707.40953 28.6733 (170*2π)/5633 weeks
171-13.58269 19.6561 (171*2π)/5633 weeks
172-17.61385 -3.04412 (172*2π)/5633 weeks
173-1.41509 -18.61571 (173*2π)/5633 weeks
17419.72586 -13.64691 (174*2π)/5633 weeks
17525.88851 6.52038 (175*2π)/5633 weeks
17611.70868 21.02353 (176*2π)/5633 weeks
177-7.97017 14.90048 (177*2π)/5633 weeks
178-12.73447 -6.38826 (178*2π)/5633 weeks
1795.2256 -22.78921 (179*2π)/5633 weeks
18030.66351 -15.25847 (180*2π)/5633 weeks
18138.8199 11.55998 (181*2π)/5633 weeks
18219.94427 34.33206 (182*2π)/5633 weeks
183-9.94354 30.00158 (183*2π)/5633 weeks
184-20.96667 2.35497 (184*2π)/5633 weeks
185-3.34776 -19.8739 (185*2π)/5633 weeks
18624.1771 -15.6473 (186*2π)/5633 weeks
18733.09856 9.82702 (187*2π)/5633 weeks
18816.12698 28.7095 (188*2π)/5633 weeks
189-6.50875 23.2496 (189*2π)/5633 weeks
190-10.62553 3.86342 (190*2π)/5633 weeks
1912.63951 -4.86739 (191*2π)/5633 weeks
19211.68101 3.91691 (192*2π)/5633 weeks
1935.04143 13.38382 (193*2π)/5633 weeks
194-7.06728 9.09631 (194*2π)/5633 weeks
195-8.19888 -4.34337 (195*2π)/5633 weeks
1962.04161 -12.47264 (196*2π)/5633 weeks
19712.7855 -9.81285 (197*2π)/5633 weeks
19817.62418 -2.55187 (198*2π)/5633 weeks
19917.73225 4.01164 (199*2π)/5633 weeks
20014.61694 9.23099 (200*2π)/5633 weeks
20111.40935 10.28224 (201*2π)/5633 weeks
2029.0319 12.60706 (202*2π)/5633 weeks
2033.9977 14.24749 (203*2π)/5633 weeks
204-2.73304 11.27511 (204*2π)/5633 weeks
205-4.84423 3.18618 (205*2π)/5633 weeks
2061.70948 -1.2356 (206*2π)/5633 weeks
2074.73972 3.87618 (207*2π)/5633 weeks
208-.89594 6.53506 (208*2π)/5633 weeks
209-8.15892 .10154 (209*2π)/5633 weeks
210-4.96901 -13.224 (210*2π)/5633 weeks
21110.16493 -17.23076 (211*2π)/5633 weeks
21220.46269 -6.91229 (212*2π)/5633 weeks
21317.05976 4.4963 (213*2π)/5633 weeks
2148.29614 4.29119 (214*2π)/5633 weeks
2159.55638 -2.84712 (215*2π)/5633 weeks
21618.95234 -.75043 (216*2π)/5633 weeks
21720.1747 11.83906 (217*2π)/5633 weeks
2187.8028 20.2489 (218*2π)/5633 weeks
219-7.94802 13.21344 (219*2π)/5633 weeks
220-8.40303 -5.03567 (220*2π)/5633 weeks
2216.94208 -13.2877 (221*2π)/5633 weeks
22219.66429 -3.55334 (222*2π)/5633 weeks
22315.50278 9.87723 (223*2π)/5633 weeks
2243.89013 8.71796 (224*2π)/5633 weeks
2254.29362 -1.58782 (225*2π)/5633 weeks
22615.84068 -2.77874 (226*2π)/5632 weeks
22722.02708 10.63627 (227*2π)/5632 weeks
22811.62269 25.27276 (228*2π)/5632 weeks
229-9.8962 23.76037 (229*2π)/5632 weeks
230-20.03143 3.34078 (230*2π)/5632 weeks
231-8.29163 -15.54713 (231*2π)/5632 weeks
23212.7458 -15.11587 (232*2π)/5632 weeks
23321.32536 3.30093 (233*2π)/5632 weeks
2348.26775 16.95874 (234*2π)/5632 weeks
235-8.46231 11.15468 (235*2π)/5632 weeks
236-10.6072 -6.59732 (236*2π)/5632 weeks
2375.03118 -16.4015 (237*2π)/5632 weeks
23820.17002 -6.28105 (238*2π)/5632 weeks
23918.05115 11.82785 (239*2π)/5632 weeks
240.14776 18.53011 (240*2π)/5632 weeks
241-14.47266 5.29609 (241*2π)/5632 weeks
242-10.20305 -13.74964 (242*2π)/5632 weeks
2436.2823 -19.64299 (243*2π)/5632 weeks
24419.70342 -11.8922 (244*2π)/5632 weeks
24521.74987 2.69088 (245*2π)/5632 weeks
24612.28144 11.01643 (246*2π)/5632 weeks
2471.86062 9.03556 (247*2π)/5632 weeks
248-1.51385 .05407 (248*2π)/5632 weeks
2493.9674 -5.69358 (249*2π)/5632 weeks
25010.30289 -4.48386 (250*2π)/5632 weeks
25113.12487 1.90865 (251*2π)/5632 weeks
2528.26092 8.20029 (252*2π)/5632 weeks
253-1.01508 7.20324 (253*2π)/5632 weeks
254-6.0517 -2.02757 (254*2π)/5632 weeks
255-.53475 -13.74852 (255*2π)/5632 weeks
25614.17012 -15.12839 (256*2π)/5632 weeks
25723.5669 -3.22802 (257*2π)/5632 weeks
25819.44319 11.95278 (258*2π)/5632 weeks
2593.02972 18.15787 (259*2π)/5632 weeks
260-12.68684 6.20505 (260*2π)/5632 weeks
261-10.17619 -15.18949 (261*2π)/5632 weeks
26211.18015 -25.16523 (262*2π)/5632 weeks
26331.98197 -10.05765 (263*2π)/5632 weeks
26428.34259 16.14392 (264*2π)/5632 weeks
2654.08771 25.87985 (265*2π)/5632 weeks
266-17.08754 10.33896 (266*2π)/5632 weeks
267-13.68966 -16.37483 (267*2π)/5632 weeks
26810.90463 -25.3466 (268*2π)/5632 weeks
26929.02342 -8.49244 (269*2π)/5632 weeks
27022.0393 12.54972 (270*2π)/5632 weeks
2712.62635 15.36255 (271*2π)/5632 weeks
272-7.35263 .22997 (272*2π)/5632 weeks
2731.54627 -14.45271 (273*2π)/5632 weeks
27419.22923 -12.97593 (274*2π)/5632 weeks
27525.81493 4.17027 (275*2π)/5632 weeks
27612.97087 18.25771 (276*2π)/5632 weeks
277-4.69404 13.81586 (277*2π)/5632 weeks
278-10.8019 -2.01734 (278*2π)/5632 weeks
279-1.99025 -16.11117 (279*2π)/5632 weeks
28013.51608 -18.31745 (280*2π)/5632 weeks
28125.876 -8.15377 (281*2π)/5632 weeks
28225.876 8.15377 (282*2π)/5632 weeks
28313.51608 18.31745 (283*2π)/5632 weeks
284-1.99025 16.11117 (284*2π)/5632 weeks
285-10.8019 2.01734 (285*2π)/5632 weeks
286-4.69404 -13.81586 (286*2π)/5632 weeks
28712.97087 -18.25771 (287*2π)/5632 weeks
28825.81493 -4.17027 (288*2π)/5632 weeks
28919.22923 12.97593 (289*2π)/5632 weeks
2901.54627 14.45271 (290*2π)/5632 weeks
291-7.35263 -.22997 (291*2π)/5632 weeks
2922.62635 -15.36255 (292*2π)/5632 weeks
29322.0393 -12.54972 (293*2π)/5632 weeks
29429.02342 8.49244 (294*2π)/5632 weeks
29510.90463 25.3466 (295*2π)/5632 weeks
296-13.68966 16.37483 (296*2π)/5632 weeks
297-17.08754 -10.33896 (297*2π)/5632 weeks
2984.08771 -25.87985 (298*2π)/5632 weeks
29928.34259 -16.14392 (299*2π)/5632 weeks
30031.98197 10.05765 (300*2π)/5632 weeks
30111.18015 25.16523 (301*2π)/5632 weeks
302-10.17619 15.18949 (302*2π)/5632 weeks
303-12.68684 -6.20505 (303*2π)/5632 weeks
3043.02972 -18.15787 (304*2π)/5632 weeks
30519.44319 -11.95278 (305*2π)/5632 weeks
30623.5669 3.22802 (306*2π)/5632 weeks
30714.17012 15.12839 (307*2π)/5632 weeks
308-.53475 13.74852 (308*2π)/5632 weeks
309-6.0517 2.02757 (309*2π)/5632 weeks
310-1.01508 -7.20324 (310*2π)/5632 weeks
3118.26092 -8.20029 (311*2π)/5632 weeks
31213.12487 -1.90865 (312*2π)/5632 weeks
31310.30289 4.48386 (313*2π)/5632 weeks
3143.9674 5.69358 (314*2π)/5632 weeks
315-1.51385 -.05407 (315*2π)/5632 weeks
3161.86062 -9.03556 (316*2π)/5632 weeks
31712.28144 -11.01643 (317*2π)/5632 weeks
31821.74987 -2.69088 (318*2π)/5632 weeks
31919.70342 11.8922 (319*2π)/5632 weeks
3206.2823 19.64299 (320*2π)/5632 weeks
321-10.20305 13.74964 (321*2π)/5632 weeks
322-14.47266 -5.29609 (322*2π)/5632 weeks
323.14776 -18.53011 (323*2π)/5632 weeks
32418.05115 -11.82785 (324*2π)/5632 weeks
32520.17002 6.28105 (325*2π)/5632 weeks
3265.03118 16.4015 (326*2π)/5632 weeks
327-10.6072 6.59732 (327*2π)/5632 weeks
328-8.46231 -11.15468 (328*2π)/5632 weeks
3298.26775 -16.95874 (329*2π)/5632 weeks
33021.32536 -3.30093 (330*2π)/5632 weeks
33112.7458 15.11587 (331*2π)/5632 weeks
332-8.29163 15.54713 (332*2π)/5632 weeks
333-20.03143 -3.34078 (333*2π)/5632 weeks
334-9.8962 -23.76037 (334*2π)/5632 weeks
33511.62269 -25.27276 (335*2π)/5632 weeks
33622.02708 -10.63627 (336*2π)/5632 weeks
33715.84068 2.77874 (337*2π)/5632 weeks
3384.29362 1.58782 (338*2π)/5632 weeks
3393.89013 -8.71796 (339*2π)/5632 weeks
34015.50278 -9.87723 (340*2π)/5632 weeks
34119.66429 3.55334 (341*2π)/5632 weeks
3426.94208 13.2877 (342*2π)/5632 weeks
343-8.40303 5.03567 (343*2π)/5632 weeks
344-7.94802 -13.21344 (344*2π)/5632 weeks
3457.8028 -20.2489 (345*2π)/5632 weeks
34620.1747 -11.83906 (346*2π)/5632 weeks
34718.95234 .75043 (347*2π)/5632 weeks
3489.55638 2.84712 (348*2π)/5632 weeks
3498.29614 -4.29119 (349*2π)/5632 weeks
35017.05976 -4.4963 (350*2π)/5632 weeks
35120.46269 6.91229 (351*2π)/5632 weeks
35210.16493 17.23076 (352*2π)/5632 weeks
353-4.96901 13.224 (353*2π)/5632 weeks
354-8.15892 -.10154 (354*2π)/5632 weeks
355-.89594 -6.53506 (355*2π)/5632 weeks
3564.73972 -3.87618 (356*2π)/5632 weeks
3571.70948 1.2356 (357*2π)/5632 weeks
358-4.84423 -3.18618 (358*2π)/5632 weeks
359-2.73304 -11.27511 (359*2π)/5632 weeks
3603.9977 -14.24749 (360*2π)/5632 weeks
3619.0319 -12.60706 (361*2π)/5632 weeks
36211.40935 -10.28224 (362*2π)/5632 weeks
36314.61694 -9.23099 (363*2π)/5632 weeks
36417.73225 -4.01164 (364*2π)/5632 weeks
36517.62418 2.55187 (365*2π)/5632 weeks
36612.7855 9.81285 (366*2π)/5632 weeks
3672.04161 12.47264 (367*2π)/5632 weeks
368-8.19888 4.34337 (368*2π)/5632 weeks
369-7.06728 -9.09631 (369*2π)/5632 weeks
3705.04143 -13.38382 (370*2π)/5632 weeks
37111.68101 -3.91691 (371*2π)/5632 weeks
3722.63951 4.86739 (372*2π)/5632 weeks
373-10.62553 -3.86342 (373*2π)/5632 weeks
374-6.50875 -23.2496 (374*2π)/5632 weeks
37516.12698 -28.7095 (375*2π)/5632 weeks
37633.09856 -9.82702 (376*2π)/5631 weeks
37724.1771 15.6473 (377*2π)/5631 weeks
378-3.34776 19.8739 (378*2π)/5631 weeks
379-20.96667 -2.35497 (379*2π)/5631 weeks
380-9.94354 -30.00158 (380*2π)/5631 weeks
38119.94427 -34.33206 (381*2π)/5631 weeks
38238.8199 -11.55998 (382*2π)/5631 weeks
38330.66351 15.25847 (383*2π)/5631 weeks
3845.2256 22.78921 (384*2π)/5631 weeks
385-12.73447 6.38826 (385*2π)/5631 weeks
386-7.97017 -14.90048 (386*2π)/5631 weeks
38711.70868 -21.02353 (387*2π)/5631 weeks
38825.88851 -6.52038 (388*2π)/5631 weeks
38919.72586 13.64691 (389*2π)/5631 weeks
390-1.41509 18.61571 (390*2π)/5631 weeks
391-17.61385 3.04412 (391*2π)/5631 weeks
392-13.58269 -19.6561 (392*2π)/5631 weeks
3937.40953 -28.6733 (393*2π)/5631 weeks
39426.18504 -17.10339 (394*2π)/5631 weeks
39528.0179 5.33905 (395*2π)/5631 weeks
39610.07306 19.34824 (396*2π)/5631 weeks
397-11.12279 12.46495 (397*2π)/5631 weeks
398-18.1 -7.70574 (398*2π)/5631 weeks
399-6.77783 -25.28172 (399*2π)/5631 weeks
40014.37692 -26.71803 (400*2π)/5631 weeks
40127.04818 -8.42124 (401*2π)/5631 weeks
40215.93779 11.0359 (402*2π)/5631 weeks
403-6.26582 9.33217 (403*2π)/5631 weeks
404-14.94194 -12.26331 (404*2π)/5631 weeks
405.97359 -31.02449 (405*2π)/5631 weeks
40627.35658 -26.67934 (406*2π)/5631 weeks
40737.84841 .60352 (407*2π)/5631 weeks
40818.50989 25.63341 (408*2π)/5631 weeks
409-14.73201 21.42353 (409*2π)/5631 weeks
410-28.46037 -9.71458 (410*2π)/5631 weeks
411-9.34428 -37.83527 (411*2π)/5631 weeks
41224.36182 -36.00508 (412*2π)/5631 weeks
41338.41631 -6.80454 (413*2π)/5631 weeks
41421.00548 17.41406 (414*2π)/5631 weeks
415-6.69481 13.65769 (415*2π)/5631 weeks
416-13.70765 -12.16053 (416*2π)/5631 weeks
4176.27016 -27.36491 (417*2π)/5631 weeks
41827.09779 -15.68795 (418*2π)/5631 weeks
41927.00054 7.98046 (419*2π)/5631 weeks
4205.25956 21.54091 (420*2π)/5631 weeks
421-19.44283 10.99676 (421*2π)/5631 weeks
422-27.54685 -16.56198 (422*2π)/5631 weeks
423-9.80351 -42.53088 (423*2π)/5631 weeks
42422.86572 -44.68359 (424*2π)/5631 weeks
42543.92791 -20.97894 (425*2π)/5631 weeks
42639.67327 8.66679 (426*2π)/5631 weeks
42714.92448 22.16259 (427*2π)/5631 weeks
428-7.23778 9.23162 (428*2π)/5631 weeks
429-5.83571 -12.17694 (429*2π)/5631 weeks
43012.00666 -18.39435 (430*2π)/5631 weeks
43124.47414 -4.11396 (431*2π)/5631 weeks
43215.50885 14.96228 (432*2π)/5631 weeks
433-8.38252 16.33749 (433*2π)/5631 weeks
434-23.57527 -5.33511 (434*2π)/5631 weeks
435-12.65573 -32.33685 (435*2π)/5631 weeks
43617.55987 -38.00703 (436*2π)/5631 weeks
43738.55478 -13.583 (437*2π)/5631 weeks
43827.94879 16.67001 (438*2π)/5631 weeks
439-3.20717 23.11184 (439*2π)/5631 weeks
440-23.35623 -.41375 (440*2π)/5631 weeks
441-14.6527 -27.84725 (441*2π)/5631 weeks
44211.73667 -34.08348 (442*2π)/5631 weeks
44329.24483 -14.63017 (443*2π)/5631 weeks
44419.47249 9.89203 (444*2π)/5631 weeks
445-7.53185 11.76153 (445*2π)/5631 weeks
446-23.49052 -13.39003 (446*2π)/5631 weeks
447-9.05808 -41.64515 (447*2π)/5631 weeks
44823.92119 -45.82573 (448*2π)/5631 weeks
44946.48229 -19.20428 (449*2π)/5631 weeks
45035.86986 13.92367 (450*2π)/5631 weeks
4512.98027 20.4388 (451*2π)/5631 weeks
452-17.18442 -4.78927 (452*2π)/5631 weeks
453-4.76404 -33.54761 (453*2π)/5631 weeks
45426.80539 -37.23592 (454*2π)/5631 weeks
45547.40637 -11.43637 (455*2π)/5631 weeks
45637.07922 19.57499 (456*2π)/5631 weeks
4576.66818 28.94869 (457*2π)/5631 weeks
458-16.7665 9.46094 (458*2π)/5631 weeks
459-12.14793 -18.54425 (459*2π)/5631 weeks
46012.52224 -27.20271 (460*2π)/5631 weeks
46132.81749 -10.30116 (461*2π)/5631 weeks
46228.63821 17.93412 (462*2π)/5631 weeks
463.7385 31.23142 (463*2π)/5631 weeks
464-26.7517 15.48883 (464*2π)/5631 weeks
465-30.9037 -14.32438 (465*2π)/5631 weeks
466-11.77003 -33.25823 (466*2π)/5631 weeks
46710.9024 -30.2454 (467*2π)/5631 weeks
46819.05743 -11.00633 (468*2π)/5631 weeks
4694.79306 3.62091 (469*2π)/5631 weeks
470-16.29901 -5.40619 (470*2π)/5631 weeks
471-17.2 -32.431 (471*2π)/5631 weeks
4728.23867 -49.45604 (472*2π)/5631 weeks
47340.73185 -36.92215 (473*2π)/5631 weeks
47449.82819 .74818 (474*2π)/5631 weeks
47521.82213 31.15521 (475*2π)/5631 weeks
476-22.26491 23.26614 (476*2π)/5631 weeks
477-36.38005 -20.45508 (477*2π)/5631 weeks
478-7.5708 -53.12214 (478*2π)/5631 weeks
47934.62987 -47.49962 (479*2π)/5631 weeks
48052.21853 -8.92545 (480*2π)/5631 weeks
48129.46873 23.80325 (481*2π)/5631 weeks
482-6.73183 22.87977 (482*2π)/5631 weeks
483-23.37647 -7.31297 (483*2π)/5631 weeks
484-3.57372 -31.94148 (484*2π)/5631 weeks
48521.90042 -24.1872 (485*2π)/5631 weeks
48626.85949 1.20896 (486*2π)/5631 weeks
4874.33224 21.72422 (487*2π)/5631 weeks
488-29.71992 8.31806 (488*2π)/5631 weeks
489-35.5969 -28.91247 (489*2π)/5631 weeks
490-8.05117 -55.36158 (490*2π)/5631 weeks
49127.3794 -45.58816 (491*2π)/5631 weeks
49232.71492 -15.16525 (492*2π)/5631 weeks
49313.49455 -5.40237 (493*2π)/5631 weeks
4945.99961 -18.18572 (494*2π)/5631 weeks
49522.79836 -27.39682 (495*2π)/5631 weeks
49641.51428 -4.4453 (496*2π)/5631 weeks
49723.50619 30.12469 (497*2π)/5631 weeks
498-20.77824 31.80227 (498*2π)/5631 weeks
499-49.68255 -6.46998 (499*2π)/5631 weeks
500-30.63483 -52.97906 (500*2π)/5631 weeks
50113.63336 -57.80902 (501*2π)/5631 weeks
50235.47907 -29.01067 (502*2π)/5631 weeks
50323.75657 -1.87678 (503*2π)/5631 weeks
504.43274 -2.35731 (504*2π)/5631 weeks
505-4.7548 -20.44125 (505*2π)/5631 weeks
5068.20765 -27.52671 (506*2π)/5631 weeks
50720.37205 -19.59014 (507*2π)/5631 weeks
50821.20556 -3.64774 (508*2π)/5631 weeks
5097.69105 9.45103 (509*2π)/5631 weeks
510-14.09568 9.20479 (510*2π)/5631 weeks
511-32.77657 -6.85591 (511*2π)/5631 weeks
512-33.39349 -34.70986 (512*2π)/5631 weeks
513-15.2632 -53.95006 (513*2π)/5631 weeks
51412.41776 -53.28079 (514*2π)/5631 weeks
51527.03132 -31.99182 (515*2π)/5631 weeks
51615.49191 -6.70423 (516*2π)/5631 weeks
517-16.40333 -6.16048 (517*2π)/5631 weeks
518-31.82192 -41.09999 (518*2π)/5631 weeks
519-3.78575 -74.7278 (519*2π)/5631 weeks
52045.03223 -67.78513 (520*2π)/5631 weeks
52163.23328 -12.15807 (521*2π)/5631 weeks
52218.26226 30.21181 (522*2π)/5631 weeks
523-45.7272 8.08747 (523*2π)/5631 weeks
524-55.14742 -66.40449 (524*2π)/5631 weeks
52516.41862 -115.9662 (525*2π)/5631 weeks
526105.2936 -65.91059 (526*2π)/5631 weeks
527102.2905 51.88395 (527*2π)/5631 weeks
528-18.69566 112.335 (528*2π)/5631 weeks
529-140.1142 27.77249 (529*2π)/5631 weeks
530-123.6257 -123.8177 (530*2π)/5631 weeks
53115.93048 -180.782 (531*2π)/5631 weeks
532126.8513 -85.83191 (532*2π)/5631 weeks
53391.65462 49.70852 (533*2π)/5631 weeks
534-42.64372 77.91213 (534*2π)/5631 weeks
535-130.468 -21.15841 (535*2π)/5631 weeks
536-95.29942 -146.4217 (536*2π)/5631 weeks
53721.01418 -180.1183 (537*2π)/5631 weeks
538100.2176 -112.6466 (538*2π)/5631 weeks
53988.42228 -32.58315 (539*2π)/5631 weeks
54035.55173 -9.64003 (540*2π)/5631 weeks
5414.96287 -32.26406 (541*2π)/5631 weeks
54210.20577 -56.76867 (542*2π)/5631 weeks
54330.23134 -57.61508 (543*2π)/5631 weeks
54439.38737 -36.69127 (544*2π)/5631 weeks
54519.62599 -7.00866 (545*2π)/5631 weeks
546-24.73674 -5.92867 (546*2π)/5631 weeks
547-69.63307 -34.472 (547*2π)/5631 weeks
548-89.42943 -102.81 (548*2π)/5631 weeks
549-46.29514 -176.4301 (549*2π)/5631 weeks
55047.92059 -197.1891 (550*2π)/5631 weeks
551128.8022 -124.4434 (551*2π)/5631 weeks
552102.1236 3.79257 (552*2π)/5631 weeks
553-44.9918 41.26409 (553*2π)/5631 weeks
554-174.6389 -73.56231 (554*2π)/5631 weeks
555-143.1396 -265.994 (555*2π)/5631 weeks
55638.00796 -316.7181 (556*2π)/5631 weeks
557117.7693 -158.6335 (557*2π)/5631 weeks
558-86.95197 -41.35878 (558*2π)/5631 weeks
559-422.7494 -286.9922 (559*2π)/5631 weeks
560-396.0995 -947.7946 (560*2π)/5631 weeks
561332.5926 -1,516.776 (561*2π)/5631 weeks



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