Back to list of Stocks    See Also: Seasonal Analysis of ^HUIGenetic Algorithms Stock Portfolio Generator, and Fourier Calculator

# Fourier Analysis of ^HUI (NYSE ARCA GOLD BUGS INDEX)

^HUI (NYSE ARCA GOLD BUGS INDEX) appears to have interesting cyclic behaviour every 108 weeks (19.3786*sine), 90 weeks (15.4167*sine), and 90 weeks (11.248*cosine).

^HUI (NYSE ARCA GOLD BUGS INDEX) has an average price of 241.75 (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.

## Fourier Analysis

Using data from 6/4/1996 to 3/13/2017 for ^HUI (NYSE ARCA GOLD BUGS INDEX), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
0241.7503   0
1-92.08532 -162.1661 (1*2π)/10841,084 weeks
2-17.2322 23.38325 (2*2π)/1084542 weeks
322.84443 44.61147 (3*2π)/1084361 weeks
439.94668 -.21541 (4*2π)/1084271 weeks
5-8.65673 -28.00378 (5*2π)/1084217 weeks
65.55985 15.58706 (6*2π)/1084181 weeks
76.94207 -3.11744 (7*2π)/1084155 weeks
81.76401 .27315 (8*2π)/1084136 weeks
98.86413 .67443 (9*2π)/1084120 weeks
10-5.32857 -19.37861 (10*2π)/1084108 weeks
114.52537 2.47013 (11*2π)/108499 weeks
12-11.24795 -15.41671 (12*2π)/108490 weeks
13-9.16144 12.15363 (13*2π)/108483 weeks
147.15907 -2.31582 (14*2π)/108477 weeks
15-7.71036 -1.04927 (15*2π)/108472 weeks
16-1.61392 -4.33261 (16*2π)/108468 weeks
17-3.46477 -4.09143 (17*2π)/108464 weeks
18-8.72972 12.78993 (18*2π)/108460 weeks
196.23437 -.22185 (19*2π)/108457 weeks
201.50354 3.65409 (20*2π)/108454 weeks
21-.63492 -2.02156 (21*2π)/108452 weeks
22-1.8807 6.26645 (22*2π)/108449 weeks
234.83933 6.12008 (23*2π)/108447 weeks
243.49335 -4.27703 (24*2π)/108445 weeks
251.4048 -.4069 (25*2π)/108443 weeks
26-2.45029 1.29554 (26*2π)/108442 weeks
27-2.33111 -.66859 (27*2π)/108440 weeks
282.64971 4.56133 (28*2π)/108439 weeks
292.09196 -3.58509 (29*2π)/108437 weeks
30-.49671 1.21638 (30*2π)/108436 weeks
314.2272 -2.05865 (31*2π)/108435 weeks
32.45867 -1.1553 (32*2π)/108434 weeks
332.65356 2.40691 (33*2π)/108433 weeks
342.63998 -5.14491 (34*2π)/108432 weeks
35-1.2006 1.09833 (35*2π)/108431 weeks
361.56429 1.6435 (36*2π)/108430 weeks
37-1.02262 -.89743 (37*2π)/108429 weeks
38.12386 .91669 (38*2π)/108429 weeks
39-1.65068 .51685 (39*2π)/108428 weeks
40-.64812 .22858 (40*2π)/108427 weeks
411.87981 -.69682 (41*2π)/108426 weeks
421.4788 -2.90504 (42*2π)/108426 weeks
43-.17014 -3.9376 (43*2π)/108425 weeks
44-3.85957 -1.25534 (44*2π)/108425 weeks
451.69987 4.1598 (45*2π)/108424 weeks
462.57369 -2.28372 (46*2π)/108424 weeks
47-2.2962 -1.57917 (47*2π)/108423 weeks
482.79168 1.6192 (48*2π)/108423 weeks
49-.82642 -5.36345 (49*2π)/108422 weeks
50-1.63238 .25469 (50*2π)/108422 weeks
51-1.14759 -.92125 (51*2π)/108421 weeks
52-1.85905 1.05848 (52*2π)/108421 weeks
53.63874 -.52242 (53*2π)/108420 weeks
54-2.84577 .12838 (54*2π)/108420 weeks
551.14801 3.50656 (55*2π)/108420 weeks
561.70853 -1.24593 (56*2π)/108419 weeks
57.5643 -.48469 (57*2π)/108419 weeks
58-1.70768 -.11638 (58*2π)/108419 weeks
591.19275 .16316 (59*2π)/108418 weeks
60.52294 -.04529 (60*2π)/108418 weeks
61-.01736 -1.32275 (61*2π)/108418 weeks
62.21875 -.85862 (62*2π)/108417 weeks
63.43901 -.07308 (63*2π)/108417 weeks
64-.15492 .64949 (64*2π)/108417 weeks
65-1.7542 .56561 (65*2π)/108417 weeks
661.69591 .3702 (66*2π)/108416 weeks
67.21909 -2.47802 (67*2π)/108416 weeks
68-3.28941 3.25931 (68*2π)/108416 weeks
692.69167 -1.99643 (69*2π)/108416 weeks
70.20584 1.24547 (70*2π)/108415 weeks
71-1.32375 -3.91945 (71*2π)/108415 weeks
72-2.59218 .79464 (72*2π)/108415 weeks
73-.21761 .75367 (73*2π)/108415 weeks
741.36558 .03973 (74*2π)/108415 weeks
75-1.13254 -2.8551 (75*2π)/108414 weeks
76-1.07805 .47028 (76*2π)/108414 weeks
77-.50274 -.41762 (77*2π)/108414 weeks
781.49441 -.21707 (78*2π)/108414 weeks
79-.81904 -.61289 (79*2π)/108414 weeks
80.65676 -.37424 (80*2π)/108414 weeks
81-1.28179 1.09814 (81*2π)/108413 weeks
82-.65722 .21223 (82*2π)/108413 weeks
83.70729 -.72143 (83*2π)/108413 weeks
84-2.00888 -.39182 (84*2π)/108413 weeks
85-1.15572 2.2952 (85*2π)/108413 weeks
862.21888 -.80842 (86*2π)/108413 weeks
87-1.23414 .77672 (87*2π)/108412 weeks
882.28856 .39158 (88*2π)/108412 weeks
89-.92203 -.23961 (89*2π)/108412 weeks
90.58321 .72749 (90*2π)/108412 weeks
91-.99596 -.19315 (91*2π)/108412 weeks
92.02302 2.33932 (92*2π)/108412 weeks
932.2676 .21118 (93*2π)/108412 weeks
94-.92844 -.30456 (94*2π)/108412 weeks
95-.39417 .79293 (95*2π)/108411 weeks
96-.16916 .5198 (96*2π)/108411 weeks
97.42204 .89886 (97*2π)/108411 weeks
98.85676 -.01138 (98*2π)/108411 weeks
99.42299 -1.34012 (99*2π)/108411 weeks
100-.50177 .43399 (100*2π)/108411 weeks
101.87149 -1.29916 (101*2π)/108411 weeks
102-1.66075 .7146 (102*2π)/108411 weeks
103-.19357 -.80536 (103*2π)/108411 weeks
104-.73261 1.51937 (104*2π)/108410 weeks
1051.31259 -.50612 (105*2π)/108410 weeks
106-.31058 -1.6765 (106*2π)/108410 weeks
107-1.20155 .27941 (107*2π)/108410 weeks
108-.06115 2.13469 (108*2π)/108410 weeks
1091.35341 -.66478 (109*2π)/108410 weeks
110.30594 .1415 (110*2π)/108410 weeks
111-1.02048 -.40341 (111*2π)/108410 weeks
112.1662 1.76359 (112*2π)/108410 weeks
113.18201 .2313 (113*2π)/108410 weeks
114-.11283 1.13434 (114*2π)/108410 weeks
115.52768 .72742 (115*2π)/10849 weeks
116.28104 -.51861 (116*2π)/10849 weeks
117.9318 -.44607 (117*2π)/10849 weeks
118-.75947 -1.11372 (118*2π)/10849 weeks
119-.33575 1.78167 (119*2π)/10849 weeks
1201.67498 -1.4397 (120*2π)/10849 weeks
121-1.75568 -.26603 (121*2π)/10849 weeks
122.71817 .05414 (122*2π)/10849 weeks
123-.69809 -.52295 (123*2π)/10849 weeks
124.37459 .33301 (124*2π)/10849 weeks
125-.55667 -1.04311 (125*2π)/10849 weeks
126-.97134 1.46205 (126*2π)/10849 weeks
127.74412 .12602 (127*2π)/10849 weeks
128-1.14596 -.00227 (128*2π)/10848 weeks
129.06034 1.47372 (129*2π)/10848 weeks
1301.03515 -.12067 (130*2π)/10848 weeks
131-.20247 .19772 (131*2π)/10848 weeks
132-.57355 -.71762 (132*2π)/10848 weeks
133-.01275 .12271 (133*2π)/10848 weeks
134-.70178 -.45737 (134*2π)/10848 weeks
135.84752 1.20188 (135*2π)/10848 weeks
1361.79585 -2.57333 (136*2π)/10848 weeks
137-1.61205 .64796 (137*2π)/10848 weeks
138.56605 .28346 (138*2π)/10848 weeks
139.14144 .27704 (139*2π)/10848 weeks
140-.48636 -.79205 (140*2π)/10848 weeks
141-.74177 1.14107 (141*2π)/10848 weeks
142.187 -.00603 (142*2π)/10848 weeks
1431.15605 .41982 (143*2π)/10848 weeks
144.6536 -.19649 (144*2π)/10848 weeks
145-.93915 -.12716 (145*2π)/10847 weeks
146.6475 .7982 (146*2π)/10847 weeks
147.48325 -.91846 (147*2π)/10847 weeks
148-.96935 -.46094 (148*2π)/10847 weeks
149-.7807 -.07741 (149*2π)/10847 weeks
150.45854 .80897 (150*2π)/10847 weeks
151.06535 -.67414 (151*2π)/10847 weeks
152-1.04705 .08231 (152*2π)/10847 weeks
153.45008 1.40921 (153*2π)/10847 weeks
154.62604 -1.4032 (154*2π)/10847 weeks
155-1.43818 .47781 (155*2π)/10847 weeks
156-.17314 .92251 (156*2π)/10847 weeks
1571.37041 .21612 (157*2π)/10847 weeks
158-.41653 -.297 (158*2π)/10847 weeks
159-.47787 .16371 (159*2π)/10847 weeks
160-.05599 1.1398 (160*2π)/10847 weeks
1611.11035 -.05659 (161*2π)/10847 weeks
162.12679 -1.16586 (162*2π)/10847 weeks
163-.89523 .68278 (163*2π)/10847 weeks
164.14358 .79677 (164*2π)/10847 weeks
1651.09807 -.61287 (165*2π)/10847 weeks
166-1.51831 .00999 (166*2π)/10847 weeks
167.53533 -.11505 (167*2π)/10846 weeks
168-.00402 .05952 (168*2π)/10846 weeks
169.61377 .00487 (169*2π)/10846 weeks
170.69822 -.57593 (170*2π)/10846 weeks
171-.16992 .57423 (171*2π)/10846 weeks
172.85636 -.7984 (172*2π)/10846 weeks
173-.2255 -.17018 (173*2π)/10846 weeks
174-.25339 -.42568 (174*2π)/10846 weeks
175-.09798 -.2902 (175*2π)/10846 weeks
176.49629 1.35593 (176*2π)/10846 weeks
177-.35373 -1.39342 (177*2π)/10846 weeks
178-.89793 .93499 (178*2π)/10846 weeks
179.91336 -.11132 (179*2π)/10846 weeks
180-1.0983 -.77908 (180*2π)/10846 weeks
181.74989 1.63622 (181*2π)/10846 weeks
182.44876 -.91016 (182*2π)/10846 weeks
183-1.05974 -.15918 (183*2π)/10846 weeks
184-.09628 .28611 (184*2π)/10846 weeks
185-.03467 -.0524 (185*2π)/10846 weeks
186.18699 .45275 (186*2π)/10846 weeks
187.22469 .09011 (187*2π)/10846 weeks
188.09993 -.15567 (188*2π)/10846 weeks
189-.33658 .2881 (189*2π)/10846 weeks
190.24862 .36134 (190*2π)/10846 weeks
191-.58422 -.6718 (191*2π)/10846 weeks
192-.16848 .65548 (192*2π)/10846 weeks
1931.04519 .35487 (193*2π)/10846 weeks
194-.77396 -1.15339 (194*2π)/10846 weeks
195-.4848 .58061 (195*2π)/10846 weeks
196-.05787 .81816 (196*2π)/10846 weeks
197.06389 -.2293 (197*2π)/10846 weeks
198.57545 .26881 (198*2π)/10845 weeks
199.02475 .03928 (199*2π)/10845 weeks
200-.24823 -.16745 (200*2π)/10845 weeks
201.23312 .77489 (201*2π)/10845 weeks
202.631 .61615 (202*2π)/10845 weeks
203.76724 .2569 (203*2π)/10845 weeks
204.97284 -.23235 (204*2π)/10845 weeks
205-.2523 -.20418 (205*2π)/10845 weeks
206.21615 .45077 (206*2π)/10845 weeks
207.44885 .67934 (207*2π)/10845 weeks
208.68317 -.27157 (208*2π)/10845 weeks
209.90955 -.45558 (209*2π)/10845 weeks
210-.46731 -.71289 (210*2π)/10845 weeks
211-.42827 .16362 (211*2π)/10845 weeks
212.91323 -.06158 (212*2π)/10845 weeks
213-.03201 -.59278 (213*2π)/10845 weeks
214-.21851 -.44034 (214*2π)/10845 weeks
215.38038 .03856 (215*2π)/10845 weeks
216-.05071 -.751 (216*2π)/10845 weeks
217-.6153 .24906 (217*2π)/10845 weeks
218.54239 .42312 (218*2π)/10845 weeks
219-.43159 -.99357 (219*2π)/10845 weeks
220.46787 1.0653 (220*2π)/10845 weeks
221.65639 -.99353 (221*2π)/10845 weeks
222-1.10693 -.84074 (222*2π)/10845 weeks
223.6867 -.00586 (223*2π)/10845 weeks
224-.64933 -.14088 (224*2π)/10845 weeks
225.42404 .02116 (225*2π)/10845 weeks
226-.10638 -.91532 (226*2π)/10845 weeks
227-.42117 .14206 (227*2π)/10845 weeks
228.1558 .08818 (228*2π)/10845 weeks
229-.27999 -.3501 (229*2π)/10845 weeks
230-.08915 .258 (230*2π)/10845 weeks
231.29246 -.2766 (231*2π)/10845 weeks
232.19061 .38008 (232*2π)/10845 weeks
233-.24994 -.49819 (233*2π)/10845 weeks
234.20887 .74115 (234*2π)/10845 weeks
235-.43083 -.72667 (235*2π)/10845 weeks
236.09684 .75776 (236*2π)/10845 weeks
237.54963 -.34452 (237*2π)/10845 weeks
238-.39759 -.29212 (238*2π)/10845 weeks
239.29271 .35973 (239*2π)/10845 weeks
240.8803 -.45133 (240*2π)/10845 weeks
241-.78174 -.12067 (241*2π)/10844 weeks
242.67227 .22814 (242*2π)/10844 weeks
243-.37519 -.51638 (243*2π)/10844 weeks
244.17086 .13214 (244*2π)/10844 weeks
245-.85181 -.15172 (245*2π)/10844 weeks
246-.02984 .36635 (246*2π)/10844 weeks
247-.1122 -.04677 (247*2π)/10844 weeks
248.5979 -.53572 (248*2π)/10844 weeks
249-.9011 .12215 (249*2π)/10844 weeks
250.71471 .05126 (250*2π)/10844 weeks
251-.33435 .11811 (251*2π)/10844 weeks
252-.1119 -.60357 (252*2π)/10844 weeks
253-1.156 .64235 (253*2π)/10844 weeks
254.60264 1.10041 (254*2π)/10844 weeks
255.33089 -.3621 (255*2π)/10844 weeks
256-.11383 .37275 (256*2π)/10844 weeks
257.79763 .66873 (257*2π)/10844 weeks
258-.47989 -.86524 (258*2π)/10844 weeks
259.29322 1.41354 (259*2π)/10844 weeks
260.70432 -.99402 (260*2π)/10844 weeks
261-.62783 .33558 (261*2π)/10844 weeks
262.44147 .01877 (262*2π)/10844 weeks
263.98309 -.45812 (263*2π)/10844 weeks
264-.07337 -1.10612 (264*2π)/10844 weeks
265-.59739 .0634 (265*2π)/10844 weeks
266.23237 .43638 (266*2π)/10844 weeks
267.93107 .28792 (267*2π)/10844 weeks
268.14982 -1.31353 (268*2π)/10844 weeks
269-.91915 -.23676 (269*2π)/10844 weeks
270.09977 1.14813 (270*2π)/10844 weeks
271.57437 -.09976 (271*2π)/10844 weeks
272-.48151 -.87231 (272*2π)/10844 weeks
273-.55107 .97658 (273*2π)/10844 weeks
2741.04608 .25019 (274*2π)/10844 weeks
275-.27619 -.99295 (275*2π)/10844 weeks
276-.27473 .03706 (276*2π)/10844 weeks
277-.02291 .51479 (277*2π)/10844 weeks
278.32625 .3107 (278*2π)/10844 weeks
279-.15492 -.60406 (279*2π)/10844 weeks
280-.38282 -.11401 (280*2π)/10844 weeks
281-.34058 .80516 (281*2π)/10844 weeks
282.2904 -.30269 (282*2π)/10844 weeks
283.26261 -.12467 (283*2π)/10844 weeks
284-.29875 -.25037 (284*2π)/10844 weeks
285-.06675 .01769 (285*2π)/10844 weeks
286.22266 .03426 (286*2π)/10844 weeks
287.03839 -.13184 (287*2π)/10844 weeks
288.16071 .47127 (288*2π)/10844 weeks
289-.1483 .17738 (289*2π)/10844 weeks
290.75287 -.02893 (290*2π)/10844 weeks
291-.47748 -.48819 (291*2π)/10844 weeks
292-.38236 .63531 (292*2π)/10844 weeks
293.73684 -.35445 (293*2π)/10844 weeks
294-.1021 -.32267 (294*2π)/10844 weeks
295.37241 .14178 (295*2π)/10844 weeks
296-.35727 -.45654 (296*2π)/10844 weeks
297-.06083 .16028 (297*2π)/10844 weeks
298.32871 .62668 (298*2π)/10844 weeks
299-.35691 -.0699 (299*2π)/10844 weeks
300.56855 .68509 (300*2π)/10844 weeks
301.19089 -.62725 (301*2π)/10844 weeks
302-.05559 .47831 (302*2π)/10844 weeks
303.06821 -.41049 (303*2π)/10844 weeks
304.28928 -.31329 (304*2π)/10844 weeks
305-.61431 -.11786 (305*2π)/10844 weeks
306-.27294 .24193 (306*2π)/10844 weeks
307.38934 .23702 (307*2π)/10844 weeks
308-.17289 -.11059 (308*2π)/10844 weeks
309-.24706 .23933 (309*2π)/10844 weeks
310.08442 -.37342 (310*2π)/10843 weeks
311.1742 -.3424 (311*2π)/10843 weeks
312-.37318 .25722 (312*2π)/10843 weeks
313.38922 -.17065 (313*2π)/10843 weeks
314-.34118 -.25249 (314*2π)/10843 weeks
315.01371 .58543 (315*2π)/10843 weeks
316-.13543 .05988 (316*2π)/10843 weeks
317.69012 -.36091 (317*2π)/10843 weeks
318-.46592 -.3744 (318*2π)/10843 weeks
319.07635 -.03931 (319*2π)/10843 weeks
320-.26361 -.06922 (320*2π)/10843 weeks
321.03195 .37173 (321*2π)/10843 weeks
322.25969 .46107 (322*2π)/10843 weeks
323.321 -.63563 (323*2π)/10843 weeks
324-.05921 -.14627 (324*2π)/10843 weeks
325-.4425 -.07902 (325*2π)/10843 weeks
326-.53456 .50356 (326*2π)/10843 weeks
327.22176 -.11747 (327*2π)/10843 weeks
328.11752 .05474 (328*2π)/10843 weeks
329-.35357 .20108 (329*2π)/10843 weeks
330.49855 -.43321 (330*2π)/10843 weeks
331-.62625 -.17589 (331*2π)/10843 weeks
332.66718 .41129 (332*2π)/10843 weeks
333-.41151 -.3253 (333*2π)/10843 weeks
334.15787 .54917 (334*2π)/10843 weeks
335.17666 -.0639 (335*2π)/10843 weeks
336-.03815 .39715 (336*2π)/10843 weeks
337-.32412 -.23752 (337*2π)/10843 weeks
338-.0721 .3409 (338*2π)/10843 weeks
339.06677 .07791 (339*2π)/10843 weeks
340-.07412 .31978 (340*2π)/10843 weeks
341.32529 -.11112 (341*2π)/10843 weeks
342.40662 -.12644 (342*2π)/10843 weeks
343-.12267 -.02564 (343*2π)/10843 weeks
344.28155 -.0997 (344*2π)/10843 weeks
345.26348 -.29102 (345*2π)/10843 weeks
346-.42844 .39654 (346*2π)/10843 weeks
347.34657 -.03163 (347*2π)/10843 weeks
348-.27913 -.22081 (348*2π)/10843 weeks
349.1972 .2628 (349*2π)/10843 weeks
350-.02823 -.54898 (350*2π)/10843 weeks
351-.39042 .59218 (351*2π)/10843 weeks
3521.02959 -.59759 (352*2π)/10843 weeks
353-.62438 -.10331 (353*2π)/10843 weeks
354.17386 -.16453 (354*2π)/10843 weeks
355-.60076 -.7186 (355*2π)/10843 weeks
356-.11254 .56313 (356*2π)/10843 weeks
357-.02799 -.61669 (357*2π)/10843 weeks
358-.18986 .08046 (358*2π)/10843 weeks
359.1414 -.14229 (359*2π)/10843 weeks
360-.51774 -.17843 (360*2π)/10843 weeks
361.07872 .15757 (361*2π)/10843 weeks
362-.41968 .00589 (362*2π)/10843 weeks
363.22053 .57287 (363*2π)/10843 weeks
364-.05321 -.43488 (364*2π)/10843 weeks
365-.17018 -.008 (365*2π)/10843 weeks
366.14678 .35549 (366*2π)/10843 weeks
367-.07056 -.27583 (367*2π)/10843 weeks
368-.24872 .18496 (368*2π)/10843 weeks
369.44303 .28284 (369*2π)/10843 weeks
370.25968 -.19374 (370*2π)/10843 weeks
371.15067 -.32023 (371*2π)/10843 weeks
372.01441 .21027 (372*2π)/10843 weeks
373.08401 -.36766 (373*2π)/10843 weeks
374-.22018 .1323 (374*2π)/10843 weeks
375.12376 -.13889 (375*2π)/10843 weeks
376-.01173 .05645 (376*2π)/10843 weeks
377.15291 -.44024 (377*2π)/10843 weeks
378-.25577 .34173 (378*2π)/10843 weeks
379.21519 .30576 (379*2π)/10843 weeks
380.27392 -.01893 (380*2π)/10843 weeks
381-.13093 .02301 (381*2π)/10843 weeks
382.17625 -.03926 (382*2π)/10843 weeks
383-.1536 .04392 (383*2π)/10843 weeks
384.58122 .4753 (384*2π)/10843 weeks
385-.20821 -1.05946 (385*2π)/10843 weeks
386.07925 .71859 (386*2π)/10843 weeks
387.33441 .05987 (387*2π)/10843 weeks
388.20911 -.1351 (388*2π)/10843 weeks
389.0698 .06739 (389*2π)/10843 weeks
390-.14826 .0737 (390*2π)/10843 weeks
391-.0208 .1988 (391*2π)/10843 weeks
392.29508 -.47639 (392*2π)/10843 weeks
393-.34162 -.11924 (393*2π)/10843 weeks
394.10962 -.33141 (394*2π)/10843 weeks
395-.17785 .14828 (395*2π)/10843 weeks
396.3857 -.12727 (396*2π)/10843 weeks
397-.17242 -.30405 (397*2π)/10843 weeks
398-.39662 -.09401 (398*2π)/10843 weeks
399-.00796 .41627 (399*2π)/10843 weeks
400.15269 -.49544 (400*2π)/10843 weeks
401-.43337 -.25271 (401*2π)/10843 weeks
402-.4769 .13499 (402*2π)/10843 weeks
403-.07776 .03296 (403*2π)/10843 weeks
404.34103 -.00194 (404*2π)/10843 weeks
405-.81311 -.45996 (405*2π)/10843 weeks
406.06769 .04189 (406*2π)/10843 weeks
407-.26842 .27018 (407*2π)/10843 weeks
408-.13304 .27737 (408*2π)/10843 weeks
409.48637 .01108 (409*2π)/10843 weeks
410-.67069 -.21353 (410*2π)/10843 weeks
411-.13432 .91875 (411*2π)/10843 weeks
412.67654 -.02872 (412*2π)/10843 weeks
413-.15013 .16309 (413*2π)/10843 weeks
414.30083 .22045 (414*2π)/10843 weeks
415.41833 -.1276 (415*2π)/10843 weeks
416-.20595 .01732 (416*2π)/10843 weeks
417-.3227 -.20068 (417*2π)/10843 weeks
418.19232 .59937 (418*2π)/10843 weeks
419.04926 -.62288 (419*2π)/10843 weeks
420.00175 -.15706 (420*2π)/10843 weeks
421-.23586 .01079 (421*2π)/10843 weeks
422-.17582 -.02563 (422*2π)/10843 weeks
423.31529 -.00916 (423*2π)/10843 weeks
424-.01235 -.39151 (424*2π)/10843 weeks
425-.21196 -.01842 (425*2π)/10843 weeks
426-.1092 .28219 (426*2π)/10843 weeks
427.34726 .32969 (427*2π)/10843 weeks
428.07689 -.39533 (428*2π)/10843 weeks
429-.28928 .01563 (429*2π)/10843 weeks
430.31933 .13473 (430*2π)/10843 weeks
431-.43791 -.19481 (431*2π)/10843 weeks
432.43478 .64152 (432*2π)/10843 weeks
433.31103 -.5094 (433*2π)/10843 weeks
434-.47311 -.24037 (434*2π)/10842 weeks
435-.14245 .68871 (435*2π)/10842 weeks
436.30737 -.21141 (436*2π)/10842 weeks
437-.05904 .05165 (437*2π)/10842 weeks
438.04965 .16326 (438*2π)/10842 weeks
439-.02781 .20849 (439*2π)/10842 weeks
440.07663 -.45545 (440*2π)/10842 weeks
441-.59897 .04817 (441*2π)/10842 weeks
442.39899 .34452 (442*2π)/10842 weeks
443-.09884 -.39946 (443*2π)/10842 weeks
444.08469 .15677 (444*2π)/10842 weeks
445.04673 -.13445 (445*2π)/10842 weeks
446-.04834 .17748 (446*2π)/10842 weeks
447.56769 -.78715 (447*2π)/10842 weeks
448-.8747 -.02922 (448*2π)/10842 weeks
449.27148 -.21803 (449*2π)/10842 weeks
450-.46886 .12107 (450*2π)/10842 weeks
451.82462 .22415 (451*2π)/10842 weeks
452-.49449 -.77987 (452*2π)/10842 weeks
453-.05362 .41449 (453*2π)/10842 weeks
454.14983 -.12976 (454*2π)/10842 weeks
455-.32273 -.3253 (455*2π)/10842 weeks
456-.27909 .47181 (456*2π)/10842 weeks
457.22794 -.23832 (457*2π)/10842 weeks
458-.12485 -.36866 (458*2π)/10842 weeks
459-.38686 .03566 (459*2π)/10842 weeks
460-.17617 .22879 (460*2π)/10842 weeks
461-.13474 .25547 (461*2π)/10842 weeks
462.36962 .25688 (462*2π)/10842 weeks
463-.11122 -.28818 (463*2π)/10842 weeks
464-.29404 -.0876 (464*2π)/10842 weeks
465.12604 .14505 (465*2π)/10842 weeks
466-.4186 .0876 (466*2π)/10842 weeks
467.3584 .35271 (467*2π)/10842 weeks
468-.04085 -.56821 (468*2π)/10842 weeks
469-.64633 .5355 (469*2π)/10842 weeks
470.6407 -.08889 (470*2π)/10842 weeks
471-.23288 -.42265 (471*2π)/10842 weeks
472.20238 .18798 (472*2π)/10842 weeks
473-.32272 -.0321 (473*2π)/10842 weeks
474.28226 .36434 (474*2π)/10842 weeks
475-.01853 -.35474 (475*2π)/10842 weeks
476-.44273 .19006 (476*2π)/10842 weeks
477.13664 .07957 (477*2π)/10842 weeks
478-.13624 .26058 (478*2π)/10842 weeks
479.05568 -.19341 (479*2π)/10842 weeks
480-.24176 .40121 (480*2π)/10842 weeks
481.7091 .06201 (481*2π)/10842 weeks
482-.08035 -.20164 (482*2π)/10842 weeks
483.32563 .32849 (483*2π)/10842 weeks
484.32806 -.05461 (484*2π)/10842 weeks
485.41048 -.22818 (485*2π)/10842 weeks
486-.46324 -.28982 (486*2π)/10842 weeks
487.14299 .64363 (487*2π)/10842 weeks
488.46034 -.65808 (488*2π)/10842 weeks
489-.20194 .25113 (489*2π)/10842 weeks
490.34706 -.11195 (490*2π)/10842 weeks
491.00362 -.00877 (491*2π)/10842 weeks
492.20063 .04048 (492*2π)/10842 weeks
493-.03904 -.15669 (493*2π)/10842 weeks
494.08482 .04187 (494*2π)/10842 weeks
495.16684 -.10959 (495*2π)/10842 weeks
496.19218 -.36203 (496*2π)/10842 weeks
497-.31946 -.584 (497*2π)/10842 weeks
498-.5304 .60707 (498*2π)/10842 weeks
499.63467 -.12124 (499*2π)/10842 weeks
500-.09255 -.21335 (500*2π)/10842 weeks
501.26145 -.16587 (501*2π)/10842 weeks
502-.52187 -.42394 (502*2π)/10842 weeks
503-.03204 .73458 (503*2π)/10842 weeks
504.26805 -.21052 (504*2π)/10842 weeks
505-.06961 -.44399 (505*2π)/10842 weeks
506-.63185 .18729 (506*2π)/10842 weeks
507.26276 .14885 (507*2π)/10842 weeks
508-.01061 -.23924 (508*2π)/10842 weeks
509.16998 -.06266 (509*2π)/10842 weeks
510-.48367 -.1026 (510*2π)/10842 weeks
511.20889 .39374 (511*2π)/10842 weeks
512.20568 -.06704 (512*2π)/10842 weeks
513-.33446 -.08595 (513*2π)/10842 weeks
514-.05008 .25482 (514*2π)/10842 weeks
515.35703 -.09309 (515*2π)/10842 weeks
516-.02214 -.16079 (516*2π)/10842 weeks
517.1994 -.10845 (517*2π)/10842 weeks
518-.20229 -.15001 (518*2π)/10842 weeks
519-.02534 .08342 (519*2π)/10842 weeks
520-.35354 -.06634 (520*2π)/10842 weeks
521.25923 .16486 (521*2π)/10842 weeks
522-.0416 .33348 (522*2π)/10842 weeks
523-.11964 .14271 (523*2π)/10842 weeks
524.01174 -.14951 (524*2π)/10842 weeks
525-.41712 -.1825 (525*2π)/10842 weeks
526-.20945 .6845 (526*2π)/10842 weeks
527.6563 -.37757 (527*2π)/10842 weeks
528-.27021 -.58952 (528*2π)/10842 weeks
529-.37522 .58122 (529*2π)/10842 weeks
530.51268 -.02389 (530*2π)/10842 weeks
531-.36981 .11842 (531*2π)/10842 weeks
532.35385 .19025 (532*2π)/10842 weeks
533.0354 .47938 (533*2π)/10842 weeks
534.17643 -.35025 (534*2π)/10842 weeks
535-.03542 .09567 (535*2π)/10842 weeks
536.16905 -.23265 (536*2π)/10842 weeks
537-.42926 -.22865 (537*2π)/10842 weeks
538.2911 .10159 (538*2π)/10842 weeks
539.16502 .01758 (539*2π)/10842 weeks
540-.11441 -.12405 (540*2π)/10842 weeks
541-.06988 .46471 (541*2π)/10842 weeks
542.59535   (542*2π)/10842 weeks
543-.06988 -.46471 (543*2π)/10842 weeks
544-.11441 .12405 (544*2π)/10842 weeks
545.16502 -.01758 (545*2π)/10842 weeks
546.2911 -.10159 (546*2π)/10842 weeks
547-.42926 .22865 (547*2π)/10842 weeks
548.16905 .23265 (548*2π)/10842 weeks
549-.03542 -.09567 (549*2π)/10842 weeks
550.17643 .35025 (550*2π)/10842 weeks
551.0354 -.47938 (551*2π)/10842 weeks
552.35385 -.19025 (552*2π)/10842 weeks
553-.36981 -.11842 (553*2π)/10842 weeks
554.51268 .02389 (554*2π)/10842 weeks
555-.37522 -.58122 (555*2π)/10842 weeks
556-.27021 .58952 (556*2π)/10842 weeks
557.6563 .37757 (557*2π)/10842 weeks
558-.20945 -.6845 (558*2π)/10842 weeks
559-.41712 .1825 (559*2π)/10842 weeks
560.01174 .14951 (560*2π)/10842 weeks
561-.11964 -.14271 (561*2π)/10842 weeks
562-.0416 -.33348 (562*2π)/10842 weeks
563.25923 -.16486 (563*2π)/10842 weeks
564-.35354 .06634 (564*2π)/10842 weeks
565-.02534 -.08342 (565*2π)/10842 weeks
566-.20229 .15001 (566*2π)/10842 weeks
567.1994 .10845 (567*2π)/10842 weeks
568-.02214 .16079 (568*2π)/10842 weeks
569.35703 .09309 (569*2π)/10842 weeks
570-.05008 -.25482 (570*2π)/10842 weeks
571-.33446 .08595 (571*2π)/10842 weeks
572.20568 .06704 (572*2π)/10842 weeks
573.20889 -.39374 (573*2π)/10842 weeks
574-.48367 .1026 (574*2π)/10842 weeks
575.16998 .06266 (575*2π)/10842 weeks
576-.01061 .23924 (576*2π)/10842 weeks
577.26276 -.14885 (577*2π)/10842 weeks
578-.63185 -.18729 (578*2π)/10842 weeks
579-.06961 .44399 (579*2π)/10842 weeks
580.26805 .21052 (580*2π)/10842 weeks
581-.03204 -.73458 (581*2π)/10842 weeks
582-.52187 .42394 (582*2π)/10842 weeks
583.26145 .16587 (583*2π)/10842 weeks
584-.09255 .21335 (584*2π)/10842 weeks
585.63467 .12124 (585*2π)/10842 weeks
586-.5304 -.60707 (586*2π)/10842 weeks
587-.31946 .584 (587*2π)/10842 weeks
588.19218 .36203 (588*2π)/10842 weeks
589.16684 .10959 (589*2π)/10842 weeks
590.08482 -.04187 (590*2π)/10842 weeks
591-.03904 .15669 (591*2π)/10842 weeks
592.20063 -.04048 (592*2π)/10842 weeks
593.00362 .00877 (593*2π)/10842 weeks
594.34706 .11195 (594*2π)/10842 weeks
595-.20194 -.25113 (595*2π)/10842 weeks
596.46034 .65808 (596*2π)/10842 weeks
597.14299 -.64363 (597*2π)/10842 weeks
598-.46324 .28982 (598*2π)/10842 weeks
599.41048 .22818 (599*2π)/10842 weeks
600.32806 .05461 (600*2π)/10842 weeks
601.32563 -.32849 (601*2π)/10842 weeks
602-.08035 .20164 (602*2π)/10842 weeks
603.7091 -.06201 (603*2π)/10842 weeks
604-.24176 -.40121 (604*2π)/10842 weeks
605.05568 .19341 (605*2π)/10842 weeks
606-.13624 -.26058 (606*2π)/10842 weeks
607.13664 -.07957 (607*2π)/10842 weeks
608-.44273 -.19006 (608*2π)/10842 weeks
609-.01853 .35474 (609*2π)/10842 weeks
610.28226 -.36434 (610*2π)/10842 weeks
611-.32272 .0321 (611*2π)/10842 weeks
612.20238 -.18798 (612*2π)/10842 weeks
613-.23288 .42265 (613*2π)/10842 weeks
614.6407 .08889 (614*2π)/10842 weeks
615-.64633 -.5355 (615*2π)/10842 weeks
616-.04085 .56821 (616*2π)/10842 weeks
617.3584 -.35271 (617*2π)/10842 weeks
618-.4186 -.0876 (618*2π)/10842 weeks
619.12604 -.14505 (619*2π)/10842 weeks
620-.29404 .0876 (620*2π)/10842 weeks
621-.11122 .28818 (621*2π)/10842 weeks
622.36962 -.25688 (622*2π)/10842 weeks
623-.13474 -.25547 (623*2π)/10842 weeks
624-.17617 -.22879 (624*2π)/10842 weeks
625-.38686 -.03566 (625*2π)/10842 weeks
626-.12485 .36866 (626*2π)/10842 weeks
627.22794 .23832 (627*2π)/10842 weeks
628-.27909 -.47181 (628*2π)/10842 weeks
629-.32273 .3253 (629*2π)/10842 weeks
630.14983 .12976 (630*2π)/10842 weeks
631-.05362 -.41449 (631*2π)/10842 weeks
632-.49449 .77987 (632*2π)/10842 weeks
633.82462 -.22415 (633*2π)/10842 weeks
634-.46886 -.12107 (634*2π)/10842 weeks
635.27148 .21803 (635*2π)/10842 weeks
636-.8747 .02922 (636*2π)/10842 weeks
637.56769 .78715 (637*2π)/10842 weeks
638-.04834 -.17748 (638*2π)/10842 weeks
639.04673 .13445 (639*2π)/10842 weeks
640.08469 -.15677 (640*2π)/10842 weeks
641-.09884 .39946 (641*2π)/10842 weeks
642.39899 -.34452 (642*2π)/10842 weeks
643-.59897 -.04817 (643*2π)/10842 weeks
644.07663 .45545 (644*2π)/10842 weeks
645-.02781 -.20849 (645*2π)/10842 weeks
646.04965 -.16326 (646*2π)/10842 weeks
647-.05904 -.05165 (647*2π)/10842 weeks
648.30737 .21141 (648*2π)/10842 weeks
649-.14245 -.68871 (649*2π)/10842 weeks
650-.47311 .24037 (650*2π)/10842 weeks
651.31103 .5094 (651*2π)/10842 weeks
652.43478 -.64152 (652*2π)/10842 weeks
653-.43791 .19481 (653*2π)/10842 weeks
654.31933 -.13473 (654*2π)/10842 weeks
655-.28928 -.01563 (655*2π)/10842 weeks
656.07689 .39533 (656*2π)/10842 weeks
657.34726 -.32969 (657*2π)/10842 weeks
658-.1092 -.28219 (658*2π)/10842 weeks
659-.21196 .01842 (659*2π)/10842 weeks
660-.01235 .39151 (660*2π)/10842 weeks
661.31529 .00916 (661*2π)/10842 weeks
662-.17582 .02563 (662*2π)/10842 weeks
663-.23586 -.01079 (663*2π)/10842 weeks
664.00175 .15706 (664*2π)/10842 weeks
665.04926 .62288 (665*2π)/10842 weeks
666.19232 -.59937 (666*2π)/10842 weeks
667-.3227 .20068 (667*2π)/10842 weeks
668-.20595 -.01732 (668*2π)/10842 weeks
669.41833 .1276 (669*2π)/10842 weeks
670.30083 -.22045 (670*2π)/10842 weeks
671-.15013 -.16309 (671*2π)/10842 weeks
672.67654 .02872 (672*2π)/10842 weeks
673-.13432 -.91875 (673*2π)/10842 weeks
674-.67069 .21353 (674*2π)/10842 weeks
675.48637 -.01108 (675*2π)/10842 weeks
676-.13304 -.27737 (676*2π)/10842 weeks
677-.26842 -.27018 (677*2π)/10842 weeks
678.06769 -.04189 (678*2π)/10842 weeks
679-.81311 .45996 (679*2π)/10842 weeks
680.34103 .00194 (680*2π)/10842 weeks
681-.07776 -.03296 (681*2π)/10842 weeks
682-.4769 -.13499 (682*2π)/10842 weeks
683-.43337 .25271 (683*2π)/10842 weeks
684.15269 .49544 (684*2π)/10842 weeks
685-.00796 -.41627 (685*2π)/10842 weeks
686-.39662 .09401 (686*2π)/10842 weeks
687-.17242 .30405 (687*2π)/10842 weeks
688.3857 .12727 (688*2π)/10842 weeks
689-.17785 -.14828 (689*2π)/10842 weeks
690.10962 .33141 (690*2π)/10842 weeks
691-.34162 .11924 (691*2π)/10842 weeks
692.29508 .47639 (692*2π)/10842 weeks
693-.0208 -.1988 (693*2π)/10842 weeks
694-.14826 -.0737 (694*2π)/10842 weeks
695.0698 -.06739 (695*2π)/10842 weeks
696.20911 .1351 (696*2π)/10842 weeks
697.33441 -.05987 (697*2π)/10842 weeks
698.07925 -.71859 (698*2π)/10842 weeks
699-.20821 1.05946 (699*2π)/10842 weeks
700.58122 -.4753 (700*2π)/10842 weeks
701-.1536 -.04392 (701*2π)/10842 weeks
702.17625 .03926 (702*2π)/10842 weeks
703-.13093 -.02301 (703*2π)/10842 weeks
704.27392 .01893 (704*2π)/10842 weeks
705.21519 -.30576 (705*2π)/10842 weeks
706-.25577 -.34173 (706*2π)/10842 weeks
707.15291 .44024 (707*2π)/10842 weeks
708-.01173 -.05645 (708*2π)/10842 weeks
709.12376 .13889 (709*2π)/10842 weeks
710-.22018 -.1323 (710*2π)/10842 weeks
711.08401