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Fourier Analysis of UXPIX (UltraShort International ProFun)


UXPIX (UltraShort International ProFun) appears to have interesting cyclic behaviour every 44 weeks (8.4151*sine), 41 weeks (7.4253*sine), and 57 weeks (6.73*sine).

UXPIX (UltraShort International ProFun) has an average price of 94.69 (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 4/19/2006 to 3/13/2017 for UXPIX (UltraShort International ProFun), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
094.69049   0 
125.5257 87.83253 (1*2π)/570570 weeks
2-15.67088 30.97936 (2*2π)/570285 weeks
31.89254 -3.75324 (3*2π)/570190 weeks
422.41825 14.4559 (4*2π)/570143 weeks
57.6734 28.10037 (5*2π)/570114 weeks
6-10.86837 17.8801 (6*2π)/57095 weeks
7-2.11506 -1.08093 (7*2π)/57081 weeks
811.79802 9.65407 (8*2π)/57071 weeks
9-.16517 17.47812 (9*2π)/57063 weeks
10-4.8102 6.73 (10*2π)/57057 weeks
11-1.3118 2.91975 (11*2π)/57052 weeks
123.6942 4.32046 (12*2π)/57048 weeks
13.98741 8.41509 (13*2π)/57044 weeks
14-.94053 7.42531 (14*2π)/57041 weeks
15-2.54797 3.69333 (15*2π)/57038 weeks
16.08258 3.19025 (16*2π)/57036 weeks
17-.14307 2.54921 (17*2π)/57034 weeks
183.53829 4.43934 (18*2π)/57032 weeks
19-.09399 7.15501 (19*2π)/57030 weeks
20-3.11635 5.16677 (20*2π)/57029 weeks
21-2.08968 .81813 (21*2π)/57027 weeks
22.63491 .77155 (22*2π)/57026 weeks
232.30745 3.14433 (23*2π)/57025 weeks
24-1.19982 4.43479 (24*2π)/57024 weeks
25-.77228 1.21994 (25*2π)/57023 weeks
262.74656 1.86255 (26*2π)/57022 weeks
271.06861 6.92876 (27*2π)/57021 weeks
28-3.92711 3.20216 (28*2π)/57020 weeks
29-1.46894 -.56689 (29*2π)/57020 weeks
303.20587 .04476 (30*2π)/57019 weeks
311.50853 5.23068 (31*2π)/57018 weeks
32-3.19968 3.61811 (32*2π)/57018 weeks
33-2.63128 -1.18508 (33*2π)/57017 weeks
343.01453 -.90479 (34*2π)/57017 weeks
352.20238 5.06497 (35*2π)/57016 weeks
36-2.84692 3.05992 (36*2π)/57016 weeks
37-1.30758 -.45229 (37*2π)/57015 weeks
381.31488 .29242 (38*2π)/57015 weeks
39.53047 1.90479 (39*2π)/57015 weeks
40.10757 1.8173 (40*2π)/57014 weeks
41-.66206 1.19739 (41*2π)/57014 weeks
42.55877 .01027 (42*2π)/57014 weeks
43.98943 2.45757 (43*2π)/57013 weeks
44-.83327 1.15273 (44*2π)/57013 weeks
45.01038 .79786 (45*2π)/57013 weeks
46.02777 .48119 (46*2π)/57012 weeks
47.14427 .63755 (47*2π)/57012 weeks
48.7732 .30439 (48*2π)/57012 weeks
491.12223 1.295 (49*2π)/57012 weeks
501.0478 .97497 (50*2π)/57011 weeks
51.36863 1.6597 (51*2π)/57011 weeks
52-.16617 1.27644 (52*2π)/57011 weeks
53.31399 .65543 (53*2π)/57011 weeks
54.40255 1.45091 (54*2π)/57011 weeks
55-.17562 1.05697 (55*2π)/57010 weeks
56.13816 -.00349 (56*2π)/57010 weeks
571.57612 .5332 (57*2π)/57010 weeks
58.9962 2.13432 (58*2π)/57010 weeks
59-.51056 1.15648 (59*2π)/57010 weeks
60.17039 -.02997 (60*2π)/57010 weeks
611.24308 .84965 (61*2π)/5709 weeks
62.80018 1.62165 (62*2π)/5709 weeks
63-.46194 1.53684 (63*2π)/5709 weeks
64.14937 .132 (64*2π)/5709 weeks
65.47711 .94979 (65*2π)/5709 weeks
66.36288 .84902 (66*2π)/5709 weeks
67.09275 .74037 (67*2π)/5709 weeks
68.46758 .51538 (68*2π)/5708 weeks
69-.04563 .88907 (69*2π)/5708 weeks
70.4523 .18633 (70*2π)/5708 weeks
71.82593 .38402 (71*2π)/5708 weeks
72.88241 1.42983 (72*2π)/5708 weeks
73-.839 .93203 (73*2π)/5708 weeks
74.08195 -1.17992 (74*2π)/5708 weeks
752.55717 .0268 (75*2π)/5708 weeks
761.56264 2.5625 (76*2π)/5708 weeks
77-1.08575 1.7304 (77*2π)/5707 weeks
78-.28371 -.68745 (78*2π)/5707 weeks
791.41795 .01284 (79*2π)/5707 weeks
802.08222 1.58265 (80*2π)/5707 weeks
81-.96341 2.56613 (81*2π)/5707 weeks
82-1.30513 -.89493 (82*2π)/5707 weeks
831.55957 -.93986 (83*2π)/5707 weeks
842.37095 1.36539 (84*2π)/5707 weeks
85-.25941 2.32549 (85*2π)/5707 weeks
86-.50071 .1776 (86*2π)/5707 weeks
87.77715 -.50154 (87*2π)/5707 weeks
882.26111 1.22623 (88*2π)/5706 weeks
89-.01683 2.6024 (89*2π)/5706 weeks
90-1.31946 .53129 (90*2π)/5706 weeks
91.52858 -1.11896 (91*2π)/5706 weeks
921.95352 .51985 (92*2π)/5706 weeks
93.68188 2.04774 (93*2π)/5706 weeks
94-.66835 .92168 (94*2π)/5706 weeks
95.14891 .04411 (95*2π)/5706 weeks
96.79879 .51773 (96*2π)/5706 weeks
97.51642 .98189 (97*2π)/5706 weeks
98.50998 .93844 (98*2π)/5706 weeks
99-.24068 .98511 (99*2π)/5706 weeks
100-.02533 .0551 (100*2π)/5706 weeks
1011.053 .00183 (101*2π)/5706 weeks
1021.22246 1.19661 (102*2π)/5706 weeks
103-.00214 1.46531 (103*2π)/5706 weeks
104-.54918 .38696 (104*2π)/5705 weeks
105.43657 -.30203 (105*2π)/5705 weeks
1061.08784 .88707 (106*2π)/5705 weeks
107-.26192 1.72662 (107*2π)/5705 weeks
108-1.05622 .12771 (108*2π)/5705 weeks
109.35775 -.96896 (109*2π)/5705 weeks
1101.81787 .4238 (110*2π)/5705 weeks
111.85224 1.79409 (111*2π)/5705 weeks
112-.99538 1.22051 (112*2π)/5705 weeks
113-.39113 -.86221 (113*2π)/5705 weeks
1141.38018 -.04242 (114*2π)/5705 weeks
115.72991 1.66046 (115*2π)/5705 weeks
116-1.04053 1.12933 (116*2π)/5705 weeks
117-.68734 -.60808 (117*2π)/5705 weeks
1181.03911 -.9085 (118*2π)/5705 weeks
1191.50061 1.22167 (119*2π)/5705 weeks
120-.4284 1.3216 (120*2π)/5705 weeks
121-.76926 -.31897 (121*2π)/5705 weeks
122.51251 -.72352 (122*2π)/5705 weeks
1231.23399 .35566 (123*2π)/5705 weeks
124.10395 .97174 (124*2π)/5705 weeks
125-.36424 -.00837 (125*2π)/5705 weeks
126.68821 -.73642 (126*2π)/5705 weeks
1271.56001 .3429 (127*2π)/5704 weeks
128.33 1.3767 (128*2π)/5704 weeks
129-.34647 .12356 (129*2π)/5704 weeks
130.34176 -.54079 (130*2π)/5704 weeks
131.9409 -.09064 (131*2π)/5704 weeks
132.71694 .46444 (132*2π)/5704 weeks
133.49943 .41283 (133*2π)/5704 weeks
134.31357 .21332 (134*2π)/5704 weeks
135.73141 -.11948 (135*2π)/5704 weeks
136.67062 .51867 (136*2π)/5704 weeks
137.31987 .1056 (137*2π)/5704 weeks
1381.0916 -.19315 (138*2π)/5704 weeks
1391.37136 .59467 (139*2π)/5704 weeks
140.63313 .92852 (140*2π)/5704 weeks
141.04775 .5922 (141*2π)/5704 weeks
142.46629 -.09095 (142*2π)/5704 weeks
1431.00485 .60545 (143*2π)/5704 weeks
144.45555 .63055 (144*2π)/5704 weeks
145.47771 .41202 (145*2π)/5704 weeks
146.77839 .24825 (146*2π)/5704 weeks
147.56847 .64276 (147*2π)/5704 weeks
148.70457 .30253 (148*2π)/5704 weeks
149.56785 .88239 (149*2π)/5704 weeks
150.06249 .27113 (150*2π)/5704 weeks
151.72307 .20136 (151*2π)/5704 weeks
152.88711 .76631 (152*2π)/5704 weeks
153.21968 1.16191 (153*2π)/5704 weeks
154-.14765 .26484 (154*2π)/5704 weeks
155.36726 -.05005 (155*2π)/5704 weeks
1561.13929 .3928 (156*2π)/5704 weeks
157.22598 1.28765 (157*2π)/5704 weeks
158-.34397 .26192 (158*2π)/5704 weeks
159.34347 -.06158 (159*2π)/5704 weeks
160.66695 .31269 (160*2π)/5704 weeks
161.46285 .65077 (161*2π)/5704 weeks
162.08207 .68969 (162*2π)/5704 weeks
163-.1081 .01739 (163*2π)/5703 weeks
164.93433 -.29382 (164*2π)/5703 weeks
165.83462 1.02887 (165*2π)/5703 weeks
166.01008 .67861 (166*2π)/5703 weeks
167.02278 .289 (167*2π)/5703 weeks
168.26367 .00649 (168*2π)/5703 weeks
169.66407 .15132 (169*2π)/5703 weeks
170.59622 .86928 (170*2π)/5703 weeks
171-.25864 .3759 (171*2π)/5703 weeks
172.09858 -.17969 (172*2π)/5703 weeks
173.92804 -.22023 (173*2π)/5703 weeks
174.88061 .81529 (174*2π)/5703 weeks
175-.03045 .73743 (175*2π)/5703 weeks
176-.17424 -.02663 (176*2π)/5703 weeks
177.66619 -.29148 (177*2π)/5703 weeks
178.99971 .53929 (178*2π)/5703 weeks
179-.01877 .79312 (179*2π)/5703 weeks
180-.34438 .03094 (180*2π)/5703 weeks
181.58884 -.69488 (181*2π)/5703 weeks
1821.42647 .33292 (182*2π)/5703 weeks
183.69381 1.23605 (183*2π)/5703 weeks
184-.3829 .72387 (184*2π)/5703 weeks
185-.06005 -.48725 (185*2π)/5703 weeks
1861.07927 -.06265 (186*2π)/5703 weeks
187.8501 .81918 (187*2π)/5703 weeks
188-.08293 .78132 (188*2π)/5703 weeks
189.00378 -.16087 (189*2π)/5703 weeks
190.79336 .01674 (190*2π)/5703 weeks
191.84777 .74124 (191*2π)/5703 weeks
192.02136 .79195 (192*2π)/5703 weeks
193-.03511 .12166 (193*2π)/5703 weeks
194.48076 -.08908 (194*2π)/5703 weeks
195.73232 .68414 (195*2π)/5703 weeks
196-.21819 .73135 (196*2π)/5703 weeks
197-.08452 -.05668 (197*2π)/5703 weeks
198.45424 -.31058 (198*2π)/5703 weeks
1991.00525 .43521 (199*2π)/5703 weeks
200.12773 .848 (200*2π)/5703 weeks
201-.23483 .53987 (201*2π)/5703 weeks
202-.35594 -.26924 (202*2π)/5703 weeks
203.82373 -.22766 (203*2π)/5703 weeks
204.59753 .44471 (204*2π)/5703 weeks
205.17841 .53923 (205*2π)/5703 weeks
206.08406 .01769 (206*2π)/5703 weeks
207.57271 .24809 (207*2π)/5703 weeks
208.10535 .39666 (208*2π)/5703 weeks
209.03818 .49875 (209*2π)/5703 weeks
210-.47703 -.22646 (210*2π)/5703 weeks
211.43268 -.45021 (211*2π)/5703 weeks
212.77189 -.23847 (212*2π)/5703 weeks
213.80202 .70872 (213*2π)/5703 weeks
214-.39751 .61218 (214*2π)/5703 weeks
215-.19356 -.63488 (215*2π)/5703 weeks
2161.03115 -.52945 (216*2π)/5703 weeks
2171.02965 .80622 (217*2π)/5703 weeks
218-.32875 .73154 (218*2π)/5703 weeks
219-.23816 -.41584 (219*2π)/5703 weeks
220.76386 -.47259 (220*2π)/5703 weeks
2211.02308 .55247 (221*2π)/5703 weeks
222-.33663 .68523 (222*2π)/5703 weeks
223-.16404 -.47526 (223*2π)/5703 weeks
224.81857 -.47765 (224*2π)/5703 weeks
225.92532 .59021 (225*2π)/5703 weeks
226-.10493 .47111 (226*2π)/5703 weeks
227.1571 -.27591 (227*2π)/5703 weeks
228.47946 -.03381 (228*2π)/5703 weeks
229.42207 .00618 (229*2π)/5702 weeks
230.5691 .07102 (230*2π)/5702 weeks
231.56169 .1754 (231*2π)/5702 weeks
232.55389 .4337 (232*2π)/5702 weeks
233-.00385 .37625 (233*2π)/5702 weeks
234.25437 -.09781 (234*2π)/5702 weeks
235.45137 .11124 (235*2π)/5702 weeks
236.23009 .45109 (236*2π)/5702 weeks
237-.30043 -.13591 (237*2π)/5702 weeks
238.31533 -.40396 (238*2π)/5702 weeks
239.6272 -.16354 (239*2π)/5702 weeks
240.5937 .24336 (240*2π)/5702 weeks
241.16656 .19747 (241*2π)/5702 weeks
242.23068 -.22908 (242*2π)/5702 weeks
243.6554 -.21699 (243*2π)/5702 weeks
244.80372 .23555 (244*2π)/5702 weeks
245.29746 .50291 (245*2π)/5702 weeks
246.0151 .10112 (246*2π)/5702 weeks
247.20715 -.41796 (247*2π)/5702 weeks
2481.0689 -.15486 (248*2π)/5702 weeks
249.60444 .43441 (249*2π)/5702 weeks
250.14299 .46709 (250*2π)/5702 weeks
251-.08816 -.33031 (251*2π)/5702 weeks
252.71098 -.3141 (252*2π)/5702 weeks
253.82434 .1763 (253*2π)/5702 weeks
254.37603 .50784 (254*2π)/5702 weeks
255-.0214 -.26451 (255*2π)/5702 weeks
256.94529 -.44509 (256*2π)/5702 weeks
2571.09309 .45814 (257*2π)/5702 weeks
258.31311 1.05344 (258*2π)/5702 weeks
259-.50145 .13211 (259*2π)/5702 weeks
260.33178 -.69442 (260*2π)/5702 weeks
2611.19287 -.06029 (261*2π)/5702 weeks
262.79131 .96609 (262*2π)/5702 weeks
263-.37469 .73895 (263*2π)/5702 weeks
264-.30824 -.48559 (264*2π)/5702 weeks
265.80661 -.77152 (265*2π)/5702 weeks
2661.44386 .70934 (266*2π)/5702 weeks
267-.21649 1.11021 (267*2π)/5702 weeks
268-.50446 -.15367 (268*2π)/5702 weeks
269.28295 -.74893 (269*2π)/5702 weeks
2701.2883 .18092 (270*2π)/5702 weeks
271.18319 1.24726 (271*2π)/5702 weeks
272-.87491 .1258 (272*2π)/5702 weeks
273.2565 -.85211 (273*2π)/5702 weeks
2741.12896 -.03766 (274*2π)/5702 weeks
275.4752 .96599 (275*2π)/5702 weeks
276-.7075 .38825 (276*2π)/5702 weeks
277-.51477 -1.09501 (277*2π)/5702 weeks
2781.47596 -.93137 (278*2π)/5702 weeks
2791.12313 1.00568 (279*2π)/5702 weeks
280-.31545 .71292 (280*2π)/5702 weeks
281-.35747 -.41265 (281*2π)/5702 weeks
282.77537 -.69328 (282*2π)/5702 weeks
2831.0579 .3145 (283*2π)/5702 weeks
284.1632 1.04036 (284*2π)/5702 weeks
285-.93205   (285*2π)/5702 weeks
286.1632 -1.04036 (286*2π)/5702 weeks
2871.0579 -.3145 (287*2π)/5702 weeks
288.77537 .69328 (288*2π)/5702 weeks
289-.35747 .41265 (289*2π)/5702 weeks
290-.31545 -.71292 (290*2π)/5702 weeks
2911.12313 -1.00568 (291*2π)/5702 weeks
2921.47596 .93137 (292*2π)/5702 weeks
293-.51477 1.09501 (293*2π)/5702 weeks
294-.7075 -.38825 (294*2π)/5702 weeks
295.4752 -.96599 (295*2π)/5702 weeks
2961.12896 .03766 (296*2π)/5702 weeks
297.2565 .85211 (297*2π)/5702 weeks
298-.87491 -.1258 (298*2π)/5702 weeks
299.18319 -1.24726 (299*2π)/5702 weeks
3001.2883 -.18092 (300*2π)/5702 weeks
301.28295 .74893 (301*2π)/5702 weeks
302-.50446 .15367 (302*2π)/5702 weeks
303-.21649 -1.11021 (303*2π)/5702 weeks
3041.44386 -.70934 (304*2π)/5702 weeks
305.80661 .77152 (305*2π)/5702 weeks
306-.30824 .48559 (306*2π)/5702 weeks
307-.37469 -.73895 (307*2π)/5702 weeks
308.79131 -.96609 (308*2π)/5702 weeks
3091.19287 .06029 (309*2π)/5702 weeks
310.33178 .69442 (310*2π)/5702 weeks
311-.50145 -.13211 (311*2π)/5702 weeks
312.31311 -1.05344 (312*2π)/5702 weeks
3131.09309 -.45814 (313*2π)/5702 weeks
314.94529 .44509 (314*2π)/5702 weeks
315-.0214 .26451 (315*2π)/5702 weeks
316.37603 -.50784 (316*2π)/5702 weeks
317.82434 -.1763 (317*2π)/5702 weeks
318.71098 .3141 (318*2π)/5702 weeks
319-.08816 .33031 (319*2π)/5702 weeks
320.14299 -.46709 (320*2π)/5702 weeks
321.60444 -.43441 (321*2π)/5702 weeks
3221.0689 .15486 (322*2π)/5702 weeks
323.20715 .41796 (323*2π)/5702 weeks
324.0151 -.10112 (324*2π)/5702 weeks
325.29746 -.50291 (325*2π)/5702 weeks
326.80372 -.23555 (326*2π)/5702 weeks
327.6554 .21699 (327*2π)/5702 weeks
328.23068 .22908 (328*2π)/5702 weeks
329.16656 -.19747 (329*2π)/5702 weeks
330.5937 -.24336 (330*2π)/5702 weeks
331.6272 .16354 (331*2π)/5702 weeks
332.31533 .40396 (332*2π)/5702 weeks
333-.30043 .13591 (333*2π)/5702 weeks
334.23009 -.45109 (334*2π)/5702 weeks
335.45137 -.11124 (335*2π)/5702 weeks
336.25437 .09781 (336*2π)/5702 weeks
337-.00385 -.37625 (337*2π)/5702 weeks
338.55389 -.4337 (338*2π)/5702 weeks
339.56169 -.1754 (339*2π)/5702 weeks
340.5691 -.07102 (340*2π)/5702 weeks
341.42207 -.00618 (341*2π)/5702 weeks
342.47946 .03381 (342*2π)/5702 weeks
343.1571 .27591 (343*2π)/5702 weeks
344-.10493 -.47111 (344*2π)/5702 weeks
345.92532 -.59021 (345*2π)/5702 weeks
346.81857 .47765 (346*2π)/5702 weeks
347-.16404 .47526 (347*2π)/5702 weeks
348-.33663 -.68523 (348*2π)/5702 weeks
3491.02308 -.55247 (349*2π)/5702 weeks
350.76386 .47259 (350*2π)/5702 weeks
351-.23816 .41584 (351*2π)/5702 weeks
352-.32875 -.73154 (352*2π)/5702 weeks
3531.02965 -.80622 (353*2π)/5702 weeks
3541.03115 .52945 (354*2π)/5702 weeks
355-.19356 .63488 (355*2π)/5702 weeks
356-.39751 -.61218 (356*2π)/5702 weeks
357.80202 -.70872 (357*2π)/5702 weeks
358.77189 .23847 (358*2π)/5702 weeks
359.43268 .45021 (359*2π)/5702 weeks
360-.47703 .22646 (360*2π)/5702 weeks
361.03818 -.49875 (361*2π)/5702 weeks
362.10535 -.39666 (362*2π)/5702 weeks
363.57271 -.24809 (363*2π)/5702 weeks
364.08406 -.01769 (364*2π)/5702 weeks
365.17841 -.53923 (365*2π)/5702 weeks
366.59753 -.44471 (366*2π)/5702 weeks
367.82373 .22766 (367*2π)/5702 weeks
368-.35594 .26924 (368*2π)/5702 weeks
369-.23483 -.53987 (369*2π)/5702 weeks
370.12773 -.848 (370*2π)/5702 weeks
3711.00525 -.43521 (371*2π)/5702 weeks
372.45424 .31058 (372*2π)/5702 weeks
373-.08452 .05668 (373*2π)/5702 weeks
374-.21819 -.73135 (374*2π)/5702 weeks
375.73232 -.68414 (375*2π)/5702 weeks
376.48076 .08908 (376*2π)/5702 weeks
377-.03511 -.12166 (377*2π)/5702 weeks
378.02136 -.79195 (378*2π)/5702 weeks
379.84777 -.74124 (379*2π)/5702 weeks
380.79336 -.01674 (380*2π)/5702 weeks
381.00378 .16087 (381*2π)/5701 weeks
382-.08293 -.78132 (382*2π)/5701 weeks
383.8501 -.81918 (383*2π)/5701 weeks
3841.07927 .06265 (384*2π)/5701 weeks
385-.06005 .48725 (385*2π)/5701 weeks
386-.3829 -.72387 (386*2π)/5701 weeks
387.69381 -1.23605 (387*2π)/5701 weeks
3881.42647 -.33292 (388*2π)/5701 weeks
389.58884 .69488 (389*2π)/5701 weeks
390-.34438 -.03094 (390*2π)/5701 weeks
391-.01877 -.79312 (391*2π)/5701 weeks
392.99971 -.53929 (392*2π)/5701 weeks
393.66619 .29148 (393*2π)/5701 weeks
394-.17424 .02663 (394*2π)/5701 weeks
395-.03045 -.73743 (395*2π)/5701 weeks
396.88061 -.81529 (396*2π)/5701 weeks
397.92804 .22023 (397*2π)/5701 weeks
398.09858 .17969 (398*2π)/5701 weeks
399-.25864 -.3759 (399*2π)/5701 weeks
400.59622 -.86928 (400*2π)/5701 weeks
401.66407 -.15132 (401*2π)/5701 weeks
402.26367 -.00649 (402*2π)/5701 weeks
403.02278 -.289 (403*2π)/5701 weeks
404.01008 -.67861 (404*2π)/5701 weeks
405.83462 -1.02887 (405*2π)/5701 weeks
406.93433 .29382 (406*2π)/5701 weeks
407-.1081 -.01739 (407*2π)/5701 weeks
408.08207 -.68969 (408*2π)/5701 weeks
409.46285 -.65077 (409*2π)/5701 weeks
410.66695 -.31269 (410*2π)/5701 weeks
411.34347 .06158 (411*2π)/5701 weeks
412-.34397 -.26192 (412*2π)/5701 weeks
413.22598 -1.28765 (413*2π)/5701 weeks
4141.13929 -.3928 (414*2π)/5701 weeks
415.36726 .05005 (415*2π)/5701 weeks
416-.14765 -.26484 (416*2π)/5701 weeks
417.21968 -1.16191 (417*2π)/5701 weeks
418.88711 -.76631 (418*2π)/5701 weeks
419.72307 -.20136 (419*2π)/5701 weeks
420.06249 -.27113 (420*2π)/5701 weeks
421.56785 -.88239 (421*2π)/5701 weeks
422.70457 -.30253 (422*2π)/5701 weeks
423.56847 -.64276 (423*2π)/5701 weeks
424.77839 -.24825 (424*2π)/5701 weeks
425.47771 -.41202 (425*2π)/5701 weeks
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534-2.84692 -3.05992 (534*2π)/5701 weeks
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537-2.63128 1.18508 (537*2π)/5701 weeks
538-3.19968 -3.61811 (538*2π)/5701 weeks
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5583.6942 -4.32046 (558*2π)/5701 weeks
559-1.3118 -2.91975 (559*2π)/5701 weeks
560-4.8102 -6.73 (560*2π)/5701 weeks
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56211.79802 -9.65407 (562*2π)/5701 weeks
563-2.11506 1.08093 (563*2π)/5701 weeks
564-10.86837 -17.8801 (564*2π)/5701 weeks
5657.6734 -28.10037 (565*2π)/5701 weeks
56622.41825 -14.4559 (566*2π)/5701 weeks
5671.89254 3.75324 (567*2π)/5701 weeks
568-15.67088 -30.97936 (568*2π)/5701 weeks

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