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Fourier Analysis of TMV (Direxion Daily 20-Year Treasury)


TMV (Direxion Daily 20-Year Treasury) appears to have interesting cyclic behaviour every 38 weeks (14.7315*sine), 41 weeks (14.2131*sine), and 35 weeks (3.2144*cosine).

TMV (Direxion Daily 20-Year Treasury) has an average price of 109.13 (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.

Right click on the graph above to see the menu of operations (download, full screen, etc.)

Fourier Analysis

Using data from 4/16/2009 to 3/13/2017 for TMV (Direxion Daily 20-Year Treasury), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
0109.1345   0 
162.13139 88.12746 (1*2π)/414414 weeks
29.2239 72.54996 (2*2π)/414207 weeks
3.44977 26.88642 (3*2π)/414138 weeks
48.36279 31.71241 (4*2π)/414104 weeks
5.95785 29.0883 (5*2π)/41483 weeks
6-8.97999 15.44397 (6*2π)/41469 weeks
71.30809 2.90894 (7*2π)/41459 weeks
810.44067 8.96733 (8*2π)/41452 weeks
98.05972 17.29834 (9*2π)/41446 weeks
102.14137 14.21307 (10*2π)/41441 weeks
11.91306 14.73153 (11*2π)/41438 weeks
12-3.21436 13.05989 (12*2π)/41435 weeks
13-1.78499 8.42009 (13*2π)/41432 weeks
14-.36622 8.02728 (14*2π)/41430 weeks
15-1.77514 9.25458 (15*2π)/41428 weeks
16-2.66454 6.72149 (16*2π)/41426 weeks
17-.89545 6.51126 (17*2π)/41424 weeks
18.03079 5.03888 (18*2π)/41423 weeks
19-.8679 7.47157 (19*2π)/41422 weeks
20-2.84675 3.85249 (20*2π)/41421 weeks
21-.42844 3.5519 (21*2π)/41420 weeks
22-.35162 4.28886 (22*2π)/41419 weeks
23-.59909 3.16925 (23*2π)/41418 weeks
241.44673 2.10571 (24*2π)/41417 weeks
252.23505 4.85015 (25*2π)/41417 weeks
26-.05264 6.07471 (26*2π)/41416 weeks
27-.58467 4.05865 (27*2π)/41415 weeks
28-.66745 3.4486 (28*2π)/41415 weeks
29-.70354 3.59428 (29*2π)/41414 weeks
30-1.26468 2.1327 (30*2π)/41414 weeks
31.93734 1.97374 (31*2π)/41413 weeks
321.51085 2.79076 (32*2π)/41413 weeks
33-.63459 4.05626 (33*2π)/41413 weeks
34-.23687 2.61414 (34*2π)/41412 weeks
35.27696 3.29341 (35*2π)/41412 weeks
36-1.16145 3.59431 (36*2π)/41412 weeks
37-2.00104 2.45887 (37*2π)/41411 weeks
38-.94958 1.0299 (38*2π)/41411 weeks
39-.30968 .9843 (39*2π)/41411 weeks
40-.11434 1.63499 (40*2π)/41410 weeks
41-.54057 1.50942 (41*2π)/41410 weeks
42-.20539 .41707 (42*2π)/41410 weeks
43.45572 .54496 (43*2π)/41410 weeks
44.57993 .99825 (44*2π)/4149 weeks
45.68712 1.06164 (45*2π)/4149 weeks
461.07211 1.0318 (46*2π)/4149 weeks
471.67252 1.03753 (47*2π)/4149 weeks
481.08974 1.38761 (48*2π)/4149 weeks
491.09994 2.02696 (49*2π)/4148 weeks
50.64817 2.03498 (50*2π)/4148 weeks
51.16207 1.70157 (51*2π)/4148 weeks
52.21643 .74419 (52*2π)/4148 weeks
53.71182 .91869 (53*2π)/4148 weeks
541.03712 .50215 (54*2π)/4148 weeks
551.2438 .29581 (55*2π)/4148 weeks
562.51822 .74816 (56*2π)/4147 weeks
572.78685 2.76631 (57*2π)/4147 weeks
58.50103 2.84136 (58*2π)/4147 weeks
59.48087 1.8005 (59*2π)/4147 weeks
601.22683 1.72543 (60*2π)/4147 weeks
61.60601 2.0889 (61*2π)/4147 weeks
62.83482 1.43741 (62*2π)/4147 weeks
63.83514 2.37836 (63*2π)/4147 weeks
64.30962 1.8534 (64*2π)/4146 weeks
65.11968 1.50674 (65*2π)/4146 weeks
66.53946 1.38653 (66*2π)/4146 weeks
67.85105 1.57976 (67*2π)/4146 weeks
68.443 2.08114 (68*2π)/4146 weeks
69.42416 1.80525 (69*2π)/4146 weeks
70.0245 1.98283 (70*2π)/4146 weeks
71-.48088 1.39378 (71*2π)/4146 weeks
72.16808 .86624 (72*2π)/4146 weeks
73.29186 1.24869 (73*2π)/4146 weeks
74-.07392 1.21693 (74*2π)/4146 weeks
75.1837 1.006 (75*2π)/4146 weeks
76.43377 1.13645 (76*2π)/4145 weeks
77.10164 1.34602 (77*2π)/4145 weeks
78-.16776 .9706 (78*2π)/4145 weeks
79.44205 .909 (79*2π)/4145 weeks
80-.12195 1.23279 (80*2π)/4145 weeks
81-.1299 1.16311 (81*2π)/4145 weeks
82-.45878 .80589 (82*2π)/4145 weeks
83.02281 .31859 (83*2π)/4145 weeks
84.14798 .6224 (84*2π)/4145 weeks
85.38802 .43655 (85*2π)/4145 weeks
86.45446 .71936 (86*2π)/4145 weeks
87.16366 .91147 (87*2π)/4145 weeks
88-.05843 .72001 (88*2π)/4145 weeks
89-.11892 .27303 (89*2π)/4145 weeks
90.32027 -.07201 (90*2π)/4145 weeks
91.50751 .27913 (91*2π)/4145 weeks
92.52539 .33447 (92*2π)/4145 weeks
93.3163 .21519 (93*2π)/4144 weeks
94.56253 -.14941 (94*2π)/4144 weeks
95.95466 -.33606 (95*2π)/4144 weeks
961.45205 .48321 (96*2π)/4144 weeks
971.4156 .61928 (97*2π)/4144 weeks
98.74646 .99195 (98*2π)/4144 weeks
99.60522 .50734 (99*2π)/4144 weeks
100.97521 .52126 (100*2π)/4144 weeks
1011.21071 1.28392 (101*2π)/4144 weeks
102.57753 1.54585 (102*2π)/4144 weeks
103-.10431 1.23379 (103*2π)/4144 weeks
104.14975 .4534 (104*2π)/4144 weeks
105.48386 .84917 (105*2π)/4144 weeks
106.12805 .63725 (106*2π)/4144 weeks
107-.06268 .24485 (107*2π)/4144 weeks
108.43364 .19505 (108*2π)/4144 weeks
109.63738 .24838 (109*2π)/4144 weeks
110.55887 .51544 (110*2π)/4144 weeks
111.52217 .17877 (111*2π)/4144 weeks
112.51707 .67114 (112*2π)/4144 weeks
113.3416 .26408 (113*2π)/4144 weeks
114.65357 .095 (114*2π)/4144 weeks
115.86246 .50703 (115*2π)/4144 weeks
116.52408 .4736 (116*2π)/4144 weeks
117.76105 .41028 (117*2π)/4144 weeks
118.41315 .48358 (118*2π)/4144 weeks
119.08128 .68177 (119*2π)/4143 weeks
120.03443 -.1362 (120*2π)/4143 weeks
121.73585 -.40009 (121*2π)/4143 weeks
122.9946 .01935 (122*2π)/4143 weeks
1231.0741 .22681 (123*2π)/4143 weeks
124.79062 .43687 (124*2π)/4143 weeks
1251.05603 .06141 (125*2π)/4143 weeks
1261.29627 .66596 (126*2π)/4143 weeks
127.68744 .96468 (127*2π)/4143 weeks
128.89215 .79011 (128*2π)/4143 weeks
129.3192 .7363 (129*2π)/4143 weeks
130.29669 .57779 (130*2π)/4143 weeks
131.36341 .38016 (131*2π)/4143 weeks
132.6726 .3051 (132*2π)/4143 weeks
133.72027 .50078 (133*2π)/4143 weeks
134.3958 .68799 (134*2π)/4143 weeks
135.45745 .66821 (135*2π)/4143 weeks
136.17334 .49923 (136*2π)/4143 weeks
137.17738 .52752 (137*2π)/4143 weeks
138.1213 .17392 (138*2π)/4143 weeks
139.01767 .10057 (139*2π)/4143 weeks
140.04227 -.37809 (140*2π)/4143 weeks
141.70092 -.16108 (141*2π)/4143 weeks
142.4625 -.06155 (142*2π)/4143 weeks
143.29551 -.04242 (143*2π)/4143 weeks
144.51142 -.48452 (144*2π)/4143 weeks
145.57474 .14248 (145*2π)/4143 weeks
146.27218 -.52597 (146*2π)/4143 weeks
147.78737 -.63316 (147*2π)/4143 weeks
1481.16653 -.51995 (148*2π)/4143 weeks
1491.05125 -.17648 (149*2π)/4143 weeks
1501.35824 -.33804 (150*2π)/4143 weeks
1511.5322 .12582 (151*2π)/4143 weeks
1521.20892 .41668 (152*2π)/4143 weeks
153.88044 .06688 (153*2π)/4143 weeks
1541.21408 .22687 (154*2π)/4143 weeks
1551.26784 .17933 (155*2π)/4143 weeks
1561.00049 .46756 (156*2π)/4143 weeks
157.96394 .26397 (157*2π)/4143 weeks
158.86296 .40798 (158*2π)/4143 weeks
159.92432 .19218 (159*2π)/4143 weeks
1601.13088 -.10613 (160*2π)/4143 weeks
1611.46713 .4033 (161*2π)/4143 weeks
1621.11119 .80249 (162*2π)/4143 weeks
1631.18687 .57281 (163*2π)/4143 weeks
164.95015 .82907 (164*2π)/4143 weeks
165.63288 .99271 (165*2π)/4143 weeks
166-.00254 .76586 (166*2π)/4142 weeks
167.14206 .07167 (167*2π)/4142 weeks
168.60657 -.24045 (168*2π)/4142 weeks
1691.2032 .26908 (169*2π)/4142 weeks
170.50778 .43187 (170*2π)/4142 weeks
171.82026 .28595 (171*2π)/4142 weeks
172.83761 .5374 (172*2π)/4142 weeks
173.37756 .45163 (173*2π)/4142 weeks
174.39765 .17426 (174*2π)/4142 weeks
175.50907 .00944 (175*2π)/4142 weeks
176.69575 -.13297 (176*2π)/4142 weeks
177.91492 .07438 (177*2π)/4142 weeks
178.5589 .01399 (178*2π)/4142 weeks
179.88299 -.13698 (179*2π)/4142 weeks
180.88204 -.25499 (180*2π)/4142 weeks
1811.3725 .16941 (181*2π)/4142 weeks
182.91564 .32309 (182*2π)/4142 weeks
183.88772 -.17943 (183*2π)/4142 weeks
1841.47678 -.10808 (184*2π)/4142 weeks
1851.66952 .54279 (185*2π)/4142 weeks
1861.40621 1.02779 (186*2π)/4142 weeks
1871.00831 1.08415 (187*2π)/4142 weeks
188.8235 1.02758 (188*2π)/4142 weeks
189.38218 1.27479 (189*2π)/4142 weeks
190.37051 1.08123 (190*2π)/4142 weeks
191-.10404 .44102 (191*2π)/4142 weeks
192.31411 .49737 (192*2π)/4142 weeks
193.31236 .39387 (193*2π)/4142 weeks
194.36264 .50688 (194*2π)/4142 weeks
195.1356 .7675 (195*2π)/4142 weeks
196-.17814 .23437 (196*2π)/4142 weeks
197.1766 -.13662 (197*2π)/4142 weeks
198.57129 .17501 (198*2π)/4142 weeks
199.12113 .27655 (199*2π)/4142 weeks
200-.01085 .01769 (200*2π)/4142 weeks
201.7239 -.16072 (201*2π)/4142 weeks
202.40844 .48699 (202*2π)/4142 weeks
203-.10923 .14366 (203*2π)/4142 weeks
204.00637 -.23863 (204*2π)/4142 weeks
205.23233 -.21844 (205*2π)/4142 weeks
206.40181 -.4439 (206*2π)/4142 weeks
2071.09703   (207*2π)/4142 weeks
208.40181 .4439 (208*2π)/4142 weeks
209.23233 .21844 (209*2π)/4142 weeks
210.00637 .23863 (210*2π)/4142 weeks
211-.10923 -.14366 (211*2π)/4142 weeks
212.40844 -.48699 (212*2π)/4142 weeks
213.7239 .16072 (213*2π)/4142 weeks
214-.01085 -.01769 (214*2π)/4142 weeks
215.12113 -.27655 (215*2π)/4142 weeks
216.57129 -.17501 (216*2π)/4142 weeks
217.1766 .13662 (217*2π)/4142 weeks
218-.17814 -.23437 (218*2π)/4142 weeks
219.1356 -.7675 (219*2π)/4142 weeks
220.36264 -.50688 (220*2π)/4142 weeks
221.31236 -.39387 (221*2π)/4142 weeks
222.31411 -.49737 (222*2π)/4142 weeks
223-.10404 -.44102 (223*2π)/4142 weeks
224.37051 -1.08123 (224*2π)/4142 weeks
225.38218 -1.27479 (225*2π)/4142 weeks
226.8235 -1.02758 (226*2π)/4142 weeks
2271.00831 -1.08415 (227*2π)/4142 weeks
2281.40621 -1.02779 (228*2π)/4142 weeks
2291.66952 -.54279 (229*2π)/4142 weeks
2301.47678 .10808 (230*2π)/4142 weeks
231.88772 .17943 (231*2π)/4142 weeks
232.91564 -.32309 (232*2π)/4142 weeks
2331.3725 -.16941 (233*2π)/4142 weeks
234.88204 .25499 (234*2π)/4142 weeks
235.88299 .13698 (235*2π)/4142 weeks
236.5589 -.01399 (236*2π)/4142 weeks
237.91492 -.07438 (237*2π)/4142 weeks
238.69575 .13297 (238*2π)/4142 weeks
239.50907 -.00944 (239*2π)/4142 weeks
240.39765 -.17426 (240*2π)/4142 weeks
241.37756 -.45163 (241*2π)/4142 weeks
242.83761 -.5374 (242*2π)/4142 weeks
243.82026 -.28595 (243*2π)/4142 weeks
244.50778 -.43187 (244*2π)/4142 weeks
2451.2032 -.26908 (245*2π)/4142 weeks
246.60657 .24045 (246*2π)/4142 weeks
247.14206 -.07167 (247*2π)/4142 weeks
248-.00254 -.76586 (248*2π)/4142 weeks
249.63288 -.99271 (249*2π)/4142 weeks
250.95015 -.82907 (250*2π)/4142 weeks
2511.18687 -.57281 (251*2π)/4142 weeks
2521.11119 -.80249 (252*2π)/4142 weeks
2531.46713 -.4033 (253*2π)/4142 weeks
2541.13088 .10613 (254*2π)/4142 weeks
255.92432 -.19218 (255*2π)/4142 weeks
256.86296 -.40798 (256*2π)/4142 weeks
257.96394 -.26397 (257*2π)/4142 weeks
2581.00049 -.46756 (258*2π)/4142 weeks
2591.26784 -.17933 (259*2π)/4142 weeks
2601.21408 -.22687 (260*2π)/4142 weeks
261.88044 -.06688 (261*2π)/4142 weeks
2621.20892 -.41668 (262*2π)/4142 weeks
2631.5322 -.12582 (263*2π)/4142 weeks
2641.35824 .33804 (264*2π)/4142 weeks
2651.05125 .17648 (265*2π)/4142 weeks
2661.16653 .51995 (266*2π)/4142 weeks
267.78737 .63316 (267*2π)/4142 weeks
268.27218 .52597 (268*2π)/4142 weeks
269.57474 -.14248 (269*2π)/4142 weeks
270.51142 .48452 (270*2π)/4142 weeks
271.29551 .04242 (271*2π)/4142 weeks
272.4625 .06155 (272*2π)/4142 weeks
273.70092 .16108 (273*2π)/4142 weeks
274.04227 .37809 (274*2π)/4142 weeks
275.01767 -.10057 (275*2π)/4142 weeks
276.1213 -.17392 (276*2π)/4142 weeks
277.17738 -.52752 (277*2π)/4141 weeks
278.17334 -.49923 (278*2π)/4141 weeks
279.45745 -.66821 (279*2π)/4141 weeks
280.3958 -.68799 (280*2π)/4141 weeks
281.72027 -.50078 (281*2π)/4141 weeks
282.6726 -.3051 (282*2π)/4141 weeks
283.36341 -.38016 (283*2π)/4141 weeks
284.29669 -.57779 (284*2π)/4141 weeks
285.3192 -.7363 (285*2π)/4141 weeks
286.89215 -.79011 (286*2π)/4141 weeks
287.68744 -.96468 (287*2π)/4141 weeks
2881.29627 -.66596 (288*2π)/4141 weeks
2891.05603 -.06141 (289*2π)/4141 weeks
290.79062 -.43687 (290*2π)/4141 weeks
2911.0741 -.22681 (291*2π)/4141 weeks
292.9946 -.01935 (292*2π)/4141 weeks
293.73585 .40009 (293*2π)/4141 weeks
294.03443 .1362 (294*2π)/4141 weeks
295.08128 -.68177 (295*2π)/4141 weeks
296.41315 -.48358 (296*2π)/4141 weeks
297.76105 -.41028 (297*2π)/4141 weeks
298.52408 -.4736 (298*2π)/4141 weeks
299.86246 -.50703 (299*2π)/4141 weeks
300.65357 -.095 (300*2π)/4141 weeks
301.3416 -.26408 (301*2π)/4141 weeks
302.51707 -.67114 (302*2π)/4141 weeks
303.52217 -.17877 (303*2π)/4141 weeks
304.55887 -.51544 (304*2π)/4141 weeks
305.63738 -.24838 (305*2π)/4141 weeks
306.43364 -.19505 (306*2π)/4141 weeks
307-.06268 -.24485 (307*2π)/4141 weeks
308.12805 -.63725 (308*2π)/4141 weeks
309.48386 -.84917 (309*2π)/4141 weeks
310.14975 -.4534 (310*2π)/4141 weeks
311-.10431 -1.23379 (311*2π)/4141 weeks
312.57753 -1.54585 (312*2π)/4141 weeks
3131.21071 -1.28392 (313*2π)/4141 weeks
314.97521 -.52126 (314*2π)/4141 weeks
315.60522 -.50734 (315*2π)/4141 weeks
316.74646 -.99195 (316*2π)/4141 weeks
3171.4156 -.61928 (317*2π)/4141 weeks
3181.45205 -.48321 (318*2π)/4141 weeks
319.95466 .33606 (319*2π)/4141 weeks
320.56253 .14941 (320*2π)/4141 weeks
321.3163 -.21519 (321*2π)/4141 weeks
322.52539 -.33447 (322*2π)/4141 weeks
323.50751 -.27913 (323*2π)/4141 weeks
324.32027 .07201 (324*2π)/4141 weeks
325-.11892 -.27303 (325*2π)/4141 weeks
326-.05843 -.72001 (326*2π)/4141 weeks
327.16366 -.91147 (327*2π)/4141 weeks
328.45446 -.71936 (328*2π)/4141 weeks
329.38802 -.43655 (329*2π)/4141 weeks
330.14798 -.6224 (330*2π)/4141 weeks
331.02281 -.31859 (331*2π)/4141 weeks
332-.45878 -.80589 (332*2π)/4141 weeks
333-.1299 -1.16311 (333*2π)/4141 weeks
334-.12195 -1.23279 (334*2π)/4141 weeks
335.44205 -.909 (335*2π)/4141 weeks
336-.16776 -.9706 (336*2π)/4141 weeks
337.10164 -1.34602 (337*2π)/4141 weeks
338.43377 -1.13645 (338*2π)/4141 weeks
339.1837 -1.006 (339*2π)/4141 weeks
340-.07392 -1.21693 (340*2π)/4141 weeks
341.29186 -1.24869 (341*2π)/4141 weeks
342.16808 -.86624 (342*2π)/4141 weeks
343-.48088 -1.39378 (343*2π)/4141 weeks
344.0245 -1.98283 (344*2π)/4141 weeks
345.42416 -1.80525 (345*2π)/4141 weeks
346.443 -2.08114 (346*2π)/4141 weeks
347.85105 -1.57976 (347*2π)/4141 weeks
348.53946 -1.38653 (348*2π)/4141 weeks
349.11968 -1.50674 (349*2π)/4141 weeks
350.30962 -1.8534 (350*2π)/4141 weeks
351.83514 -2.37836 (351*2π)/4141 weeks
352.83482 -1.43741 (352*2π)/4141 weeks
353.60601 -2.0889 (353*2π)/4141 weeks
3541.22683 -1.72543 (354*2π)/4141 weeks
355.48087 -1.8005 (355*2π)/4141 weeks
356.50103 -2.84136 (356*2π)/4141 weeks
3572.78685 -2.76631 (357*2π)/4141 weeks
3582.51822 -.74816 (358*2π)/4141 weeks
3591.2438 -.29581 (359*2π)/4141 weeks
3601.03712 -.50215 (360*2π)/4141 weeks
361.71182 -.91869 (361*2π)/4141 weeks
362.21643 -.74419 (362*2π)/4141 weeks
363.16207 -1.70157 (363*2π)/4141 weeks
364.64817 -2.03498 (364*2π)/4141 weeks
3651.09994 -2.02696 (365*2π)/4141 weeks
3661.08974 -1.38761 (366*2π)/4141 weeks
3671.67252 -1.03753 (367*2π)/4141 weeks
3681.07211 -1.0318 (368*2π)/4141 weeks
369.68712 -1.06164 (369*2π)/4141 weeks
370.57993 -.99825 (370*2π)/4141 weeks
371.45572 -.54496 (371*2π)/4141 weeks
372-.20539 -.41707 (372*2π)/4141 weeks
373-.54057 -1.50942 (373*2π)/4141 weeks
374-.11434 -1.63499 (374*2π)/4141 weeks
375-.30968 -.9843 (375*2π)/4141 weeks
376-.94958 -1.0299 (376*2π)/4141 weeks
377-2.00104 -2.45887 (377*2π)/4141 weeks
378-1.16145 -3.59431 (378*2π)/4141 weeks
379.27696 -3.29341 (379*2π)/4141 weeks
380-.23687 -2.61414 (380*2π)/4141 weeks
381-.63459 -4.05626 (381*2π)/4141 weeks
3821.51085 -2.79076 (382*2π)/4141 weeks
383.93734 -1.97374 (383*2π)/4141 weeks
384-1.26468 -2.1327 (384*2π)/4141 weeks
385-.70354 -3.59428 (385*2π)/4141 weeks
386-.66745 -3.4486 (386*2π)/4141 weeks
387-.58467 -4.05865 (387*2π)/4141 weeks
388-.05264 -6.07471 (388*2π)/4141 weeks
3892.23505 -4.85015 (389*2π)/4141 weeks
3901.44673 -2.10571 (390*2π)/4141 weeks
391-.59909 -3.16925 (391*2π)/4141 weeks
392-.35162 -4.28886 (392*2π)/4141 weeks
393-.42844 -3.5519 (393*2π)/4141 weeks
394-2.84675 -3.85249 (394*2π)/4141 weeks
395-.8679 -7.47157 (395*2π)/4141 weeks
396.03079 -5.03888 (396*2π)/4141 weeks
397-.89545 -6.51126 (397*2π)/4141 weeks
398-2.66454 -6.72149 (398*2π)/4141 weeks
399-1.77514 -9.25458 (399*2π)/4141 weeks
400-.36622 -8.02728 (400*2π)/4141 weeks
401-1.78499 -8.42009 (401*2π)/4141 weeks
402-3.21436 -13.05989 (402*2π)/4141 weeks
403.91306 -14.73153 (403*2π)/4141 weeks
4042.14137 -14.21307 (404*2π)/4141 weeks
4058.05972 -17.29834 (405*2π)/4141 weeks
40610.44067 -8.96733 (406*2π)/4141 weeks
4071.30809 -2.90894 (407*2π)/4141 weeks
408-8.97999 -15.44397 (408*2π)/4141 weeks
409.95785 -29.0883 (409*2π)/4141 weeks
4108.36279 -31.71241 (410*2π)/4141 weeks
411.44977 -26.88642 (411*2π)/4141 weeks
4129.2239 -72.54996 (412*2π)/4141 weeks

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