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

Fourier Analysis of REW (ProShares UltraShort Technology)


REW (ProShares UltraShort Technology) appears to have interesting cyclic behaviour every 43 weeks (54.6989*sine), 47 weeks (44.6312*sine), and 47 weeks (32.4741*cosine).

REW (ProShares UltraShort Technology) has an average price of 331.52 (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 2/2/2007 to 1/9/2017 for REW (ProShares UltraShort Technology), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
0331.519   0 
1144.6194 341.9854 (1*2π)/520520 weeks
2-57.43373 202.8387 (2*2π)/520260 weeks
3-77.14088 40.0416 (3*2π)/520173 weeks
43.32817 -24.05023 (4*2π)/520130 weeks
568.13647 25.23177 (5*2π)/520104 weeks
641.75581 78.88813 (6*2π)/52087 weeks
7-23.99165 76.25358 (7*2π)/52074 weeks
8-29.72182 8.76386 (8*2π)/52065 weeks
911.78628 -1.12728 (9*2π)/52058 weeks
1030.9787 12.78921 (10*2π)/52052 weeks
1132.47406 44.63121 (11*2π)/52047 weeks
12-3.26031 54.69886 (12*2π)/52043 weeks
13-21.94017 30.15582 (13*2π)/52040 weeks
14-15.94876 8.40541 (14*2π)/52037 weeks
15-.51543 1.4525 (15*2π)/52035 weeks
168.35955 3.09231 (16*2π)/52033 weeks
1714.98119 15.44167 (17*2π)/52031 weeks
186.59738 19.92988 (18*2π)/52029 weeks
192.83071 18.56089 (19*2π)/52027 weeks
202.67677 15.81819 (20*2π)/52026 weeks
21-.1193 16.21984 (21*2π)/52025 weeks
224.45415 10.48773 (22*2π)/52024 weeks
232.81061 17.02112 (23*2π)/52023 weeks
24-.88113 18.81039 (24*2π)/52022 weeks
25-12.12879 14.07136 (25*2π)/52021 weeks
26-6.62922 3.1284 (26*2π)/52020 weeks
27-.77377 -1.62708 (27*2π)/52019 weeks
2812.40806 2.9248 (28*2π)/52019 weeks
2912.14981 16.97512 (29*2π)/52018 weeks
30-.59508 22.35117 (30*2π)/52017 weeks
31-13.40246 13.53952 (31*2π)/52017 weeks
32-9.13627 -4.90928 (32*2π)/52016 weeks
337.42923 -3.0596 (33*2π)/52016 weeks
3410.23811 7.59116 (34*2π)/52015 weeks
353.21235 13.67166 (35*2π)/52015 weeks
36-1.62841 10.08118 (36*2π)/52014 weeks
37-2.93536 6.77196 (37*2π)/52014 weeks
38.04043 1.58677 (38*2π)/52014 weeks
396.84047 6.86786 (39*2π)/52013 weeks
40.59298 10.47764 (40*2π)/52013 weeks
41-.70628 5.48934 (41*2π)/52013 weeks
42.70357 6.43241 (42*2π)/52012 weeks
432.64695 6.67355 (43*2π)/52012 weeks
44-1.27967 10.67524 (44*2π)/52012 weeks
45-4.40142 4.84947 (45*2π)/52012 weeks
46-3.79784 1.36976 (46*2π)/52011 weeks
47.68868 -.19111 (47*2π)/52011 weeks
484.51834 2.73255 (48*2π)/52011 weeks
491.81397 6.06472 (49*2π)/52011 weeks
50.63763 4.67116 (50*2π)/52010 weeks
51-.18012 2.76356 (51*2π)/52010 weeks
523.46083 .45993 (52*2π)/52010 weeks
536.21447 6.85691 (53*2π)/52010 weeks
54-.22949 7.2191 (54*2π)/52010 weeks
55-1.17051 4.07573 (55*2π)/5209 weeks
561.12209 1.8046 (56*2π)/5209 weeks
573.27299 3.64152 (57*2π)/5209 weeks
58.71947 6.19113 (58*2π)/5209 weeks
59-2.09575 2.46208 (59*2π)/5209 weeks
60.66694 -.66944 (60*2π)/5209 weeks
616.17698 .44248 (61*2π)/5209 weeks
626.32106 6.31587 (62*2π)/5208 weeks
63.33934 7.97557 (63*2π)/5208 weeks
64-.9234 4.90461 (64*2π)/5208 weeks
65-.62083 1.17407 (65*2π)/5208 weeks
665.2288 2.98441 (66*2π)/5208 weeks
671.72781 8.27735 (67*2π)/5208 weeks
68-4.41614 6.05891 (68*2π)/5208 weeks
69-3.84843 -1.09848 (69*2π)/5208 weeks
703.83063 -2.64589 (70*2π)/5207 weeks
715.3084 3.52434 (71*2π)/5207 weeks
722.20155 4.00545 (72*2π)/5207 weeks
73.65447 5.81184 (73*2π)/5207 weeks
74-3.1204 1.34212 (74*2π)/5207 weeks
752.36701 -2.41492 (75*2π)/5207 weeks
766.16692 .81874 (76*2π)/5207 weeks
775.86903 6.21328 (77*2π)/5207 weeks
78.35687 7.05761 (78*2π)/5207 weeks
79-2.27239 5.00868 (79*2π)/5207 weeks
80-3.13327 -.38583 (80*2π)/5207 weeks
813.13342 -2.5165 (81*2π)/5206 weeks
826.30558 2.43677 (82*2π)/5206 weeks
833.32231 6.60013 (83*2π)/5206 weeks
84-1.03112 5.52539 (84*2π)/5206 weeks
85-1.72594 1.17403 (85*2π)/5206 weeks
861.47926 -.80711 (86*2π)/5206 weeks
874.08131 1.66212 (87*2π)/5206 weeks
881.92381 4.38243 (88*2π)/5206 weeks
89.17042 2.10592 (89*2π)/5206 weeks
901.85144 2.46885 (90*2π)/5206 weeks
91.2995 2.75962 (91*2π)/5206 weeks
92-.80434 1.50227 (92*2π)/5206 weeks
93.47066 -1.70682 (93*2π)/5206 weeks
944.64704 -1.10442 (94*2π)/5206 weeks
955.71779 3.16124 (95*2π)/5205 weeks
962.3314 5.99788 (96*2π)/5205 weeks
97-1.83383 3.82494 (97*2π)/5205 weeks
98-1.07839 -1.42325 (98*2π)/5205 weeks
993.59133 -2.98101 (99*2π)/5205 weeks
1008.30425 2.00586 (100*2π)/5205 weeks
1014.64998 6.80264 (101*2π)/5205 weeks
102-.93241 6.92956 (102*2π)/5205 weeks
103-3.70498 1.56663 (103*2π)/5205 weeks
104.18771 -3.03532 (104*2π)/5205 weeks
1056.21972 -.84729 (105*2π)/5205 weeks
1065.76098 4.59617 (106*2π)/5205 weeks
1072.08032 6.51185 (107*2π)/5205 weeks
108-2.60302 4.73282 (108*2π)/5205 weeks
109-2.0035 -1.03563 (109*2π)/5205 weeks
1102.65147 -1.92411 (110*2π)/5205 weeks
1114.60959 1.2362 (111*2π)/5205 weeks
1123.20403 3.91661 (112*2π)/5205 weeks
113.09227 3.37012 (113*2π)/5205 weeks
114.00265 1.54672 (114*2π)/5205 weeks
1151.49892 -.9689 (115*2π)/5205 weeks
1164.86218 .5342 (116*2π)/5204 weeks
1174.04975 4.67484 (117*2π)/5204 weeks
118.80869 3.83477 (118*2π)/5204 weeks
119.15963 2.07477 (119*2π)/5204 weeks
1201.15919 1.24642 (120*2π)/5204 weeks
121.91546 1.79963 (121*2π)/5204 weeks
1221.78325 1.14353 (122*2π)/5204 weeks
1231.90307 2.14957 (123*2π)/5204 weeks
124.2324 1.84166 (124*2π)/5204 weeks
1251.09284 -.31951 (125*2π)/5204 weeks
1263.81547 .24258 (126*2π)/5204 weeks
1273.69776 2.61957 (127*2π)/5204 weeks
1282.92632 3.33977 (128*2π)/5204 weeks
129.43097 3.18382 (129*2π)/5204 weeks
1301.12424 1.02627 (130*2π)/5204 weeks
1312.08268 2.56823 (131*2π)/5204 weeks
132.71032 2.47837 (132*2π)/5204 weeks
133.39734 1.99445 (133*2π)/5204 weeks
1341.35576 .20686 (134*2π)/5204 weeks
1352.67342 2.30532 (135*2π)/5204 weeks
136.77634 2.37013 (136*2π)/5204 weeks
137.7643 .92261 (137*2π)/5204 weeks
1381.7365 .49691 (138*2π)/5204 weeks
1392.55183 1.32613 (139*2π)/5204 weeks
1401.43371 2.31916 (140*2π)/5204 weeks
1411.19849 2.01429 (141*2π)/5204 weeks
142.30101 .5768 (142*2π)/5204 weeks
1433.04892 .116 (143*2π)/5204 weeks
1442.27599 2.25697 (144*2π)/5204 weeks
1452.06587 2.06556 (145*2π)/5204 weeks
1461.23327 2.1247 (146*2π)/5204 weeks
1471.29222 1.67169 (147*2π)/5204 weeks
1481.18825 1.31958 (148*2π)/5204 weeks
1491.99524 .61519 (149*2π)/5203 weeks
1502.38955 2.75081 (150*2π)/5203 weeks
151.52393 2.00165 (151*2π)/5203 weeks
1521.05473 1.49858 (152*2π)/5203 weeks
153.75932 1.38304 (153*2π)/5203 weeks
1541.14253 .72607 (154*2π)/5203 weeks
1552.60951 .6251 (155*2π)/5203 weeks
1562.07993 2.65476 (156*2π)/5203 weeks
1571.08525 2.80812 (157*2π)/5203 weeks
158-.5299 2.02716 (158*2π)/5203 weeks
159-.52375 -.19256 (159*2π)/5203 weeks
1602.03777 -.60572 (160*2π)/5203 weeks
1612.40142 1.20592 (161*2π)/5203 weeks
1621.87517 1.69667 (162*2π)/5203 weeks
163.82842 2.03677 (163*2π)/5203 weeks
164-.18815 1.2997 (164*2π)/5203 weeks
165.09407 -.75274 (165*2π)/5203 weeks
1662.65702 -1.29124 (166*2π)/5203 weeks
1674.23893 1.24428 (167*2π)/5203 weeks
1682.89443 2.93336 (168*2π)/5203 weeks
169.30296 3.70499 (169*2π)/5203 weeks
170-1.32305 1.05925 (170*2π)/5203 weeks
171.62343 -1.27769 (171*2π)/5203 weeks
1723.00071 -.35475 (172*2π)/5203 weeks
1733.10231 2.13019 (173*2π)/5203 weeks
1741.285 3.42619 (174*2π)/5203 weeks
175-.63398 1.75446 (175*2π)/5203 weeks
176-.0806 .53389 (176*2π)/5203 weeks
177.99468 -.718 (177*2π)/5203 weeks
1782.11056 .85271 (178*2π)/5203 weeks
1791.00513 1.22881 (179*2π)/5203 weeks
180.76034 1.17085 (180*2π)/5203 weeks
181.29125 .21933 (181*2π)/5203 weeks
182.96806 -.32893 (182*2π)/5203 weeks
1831.50963 -1.39809 (183*2π)/5203 weeks
1844.73819 .03375 (184*2π)/5203 weeks
1852.73685 3.90161 (185*2π)/5203 weeks
186.12597 3.10702 (186*2π)/5203 weeks
187-1.43678 1.30679 (187*2π)/5203 weeks
188-.00804 -1.20328 (188*2π)/5203 weeks
1892.0603 -.7597 (189*2π)/5203 weeks
1902.86157 .23116 (190*2π)/5203 weeks
1911.57002 2.96737 (191*2π)/5203 weeks
192-.98287 .61043 (192*2π)/5203 weeks
193.21037 -.80171 (193*2π)/5203 weeks
1941.55984 -2.26661 (194*2π)/5203 weeks
1954.56491 -.73426 (195*2π)/5203 weeks
1963.70133 3.17583 (196*2π)/5203 weeks
197.30229 3.36046 (197*2π)/5203 weeks
198-1.52027 .3573 (198*2π)/5203 weeks
1991.22645 -1.90509 (199*2π)/5203 weeks
2003.04449 -.44754 (200*2π)/5203 weeks
2013.25957 1.78471 (201*2π)/5203 weeks
202.85086 3.47212 (202*2π)/5203 weeks
203-1.35306 .53522 (203*2π)/5203 weeks
204.29136 -1.66523 (204*2π)/5203 weeks
2052.85042 -1.41192 (205*2π)/5203 weeks
2063.10872 1.06574 (206*2π)/5203 weeks
2071.50023 1.50955 (207*2π)/5203 weeks
2081.71094 .65581 (208*2π)/5203 weeks
2091.9074 1.49246 (209*2π)/5202 weeks
2101.1532 1.44622 (210*2π)/5202 weeks
211.62549 1.94929 (211*2π)/5202 weeks
212-1.33616 .62438 (212*2π)/5202 weeks
213.6086 -1.64639 (213*2π)/5202 weeks
2142.21299 -.74618 (214*2π)/5202 weeks
2152.67205 1.37518 (215*2π)/5202 weeks
216.03379 1.93347 (216*2π)/5202 weeks
217-.52199 .05314 (217*2π)/5202 weeks
218.08323 -1.24598 (218*2π)/5202 weeks
2192.25891 -2.35139 (219*2π)/5202 weeks
2204.17162 .37555 (220*2π)/5202 weeks
2212.04701 2.62082 (221*2π)/5202 weeks
222-1.1035 1.92467 (222*2π)/5202 weeks
223-1.06471 -1.75292 (223*2π)/5202 weeks
2241.90208 -2.49439 (224*2π)/5202 weeks
2253.49533 -1.00133 (225*2π)/5202 weeks
2263.83518 1.75728 (226*2π)/5202 weeks
227.47871 2.09338 (227*2π)/5202 weeks
228.054 .48731 (228*2π)/5202 weeks
229.41816 -.90605 (229*2π)/5202 weeks
2301.76051 -.55378 (230*2π)/5202 weeks
2311.51862 -.25024 (231*2π)/5202 weeks
2322.25823 -.09837 (232*2π)/5202 weeks
2331.32798 1.05569 (233*2π)/5202 weeks
234.624 -.27011 (234*2π)/5202 weeks
235.68729 -.78876 (235*2π)/5202 weeks
2362.02827 -1.54405 (236*2π)/5202 weeks
2373.89659 -.19388 (237*2π)/5202 weeks
2382.80576 2.21665 (238*2π)/5202 weeks
239.46445 2.53796 (239*2π)/5202 weeks
240-1.70719 .97924 (240*2π)/5202 weeks
241-1.15381 -2.52194 (241*2π)/5202 weeks
2421.99782 -3.83297 (242*2π)/5202 weeks
2435.16556 -1.0282 (243*2π)/5202 weeks
2443.10738 2.32906 (244*2π)/5202 weeks
245.4615 1.64182 (245*2π)/5202 weeks
246-.62265 -.28339 (246*2π)/5202 weeks
2471.0712 -2.4148 (247*2π)/5202 weeks
2483.60731 -1.62822 (248*2π)/5202 weeks
2493.13093 1.25927 (249*2π)/5202 weeks
2501.06069 1.54457 (250*2π)/5202 weeks
251-.17714 .04857 (251*2π)/5202 weeks
252.70871 -1.58855 (252*2π)/5202 weeks
2532.68618 -2.67341 (253*2π)/5202 weeks
2545.1234 -.25169 (254*2π)/5202 weeks
2552.32303 2.96591 (255*2π)/5202 weeks
256-.30167 .99674 (256*2π)/5202 weeks
257-.24366 -.71681 (257*2π)/5202 weeks
2581.35663 -1.99512 (258*2π)/5202 weeks
2592.96152 -2.28189 (259*2π)/5202 weeks
2605.00729   (260*2π)/5202 weeks
2612.96152 2.28189 (261*2π)/5202 weeks
2621.35663 1.99512 (262*2π)/5202 weeks
263-.24366 .71681 (263*2π)/5202 weeks
264-.30167 -.99674 (264*2π)/5202 weeks
2652.32303 -2.96591 (265*2π)/5202 weeks
2665.1234 .25169 (266*2π)/5202 weeks
2672.68618 2.67341 (267*2π)/5202 weeks
268.70871 1.58855 (268*2π)/5202 weeks
269-.17714 -.04857 (269*2π)/5202 weeks
2701.06069 -1.54457 (270*2π)/5202 weeks
2713.13093 -1.25927 (271*2π)/5202 weeks
2723.60731 1.62822 (272*2π)/5202 weeks
2731.0712 2.4148 (273*2π)/5202 weeks
274-.62265 .28339 (274*2π)/5202 weeks
275.4615 -1.64182 (275*2π)/5202 weeks
2763.10738 -2.32906 (276*2π)/5202 weeks
2775.16556 1.0282 (277*2π)/5202 weeks
2781.99782 3.83297 (278*2π)/5202 weeks
279-1.15381 2.52194 (279*2π)/5202 weeks
280-1.70719 -.97924 (280*2π)/5202 weeks
281.46445 -2.53796 (281*2π)/5202 weeks
2822.80576 -2.21665 (282*2π)/5202 weeks
2833.89659 .19388 (283*2π)/5202 weeks
2842.02827 1.54405 (284*2π)/5202 weeks
285.68729 .78876 (285*2π)/5202 weeks
286.624 .27011 (286*2π)/5202 weeks
2871.32798 -1.05569 (287*2π)/5202 weeks
2882.25823 .09837 (288*2π)/5202 weeks
2891.51862 .25024 (289*2π)/5202 weeks
2901.76051 .55378 (290*2π)/5202 weeks
291.41816 .90605 (291*2π)/5202 weeks
292.054 -.48731 (292*2π)/5202 weeks
293.47871 -2.09338 (293*2π)/5202 weeks
2943.83518 -1.75728 (294*2π)/5202 weeks
2953.49533 1.00133 (295*2π)/5202 weeks
2961.90208 2.49439 (296*2π)/5202 weeks
297-1.06471 1.75292 (297*2π)/5202 weeks
298-1.1035 -1.92467 (298*2π)/5202 weeks
2992.04701 -2.62082 (299*2π)/5202 weeks
3004.17162 -.37555 (300*2π)/5202 weeks
3012.25891 2.35139 (301*2π)/5202 weeks
302.08323 1.24598 (302*2π)/5202 weeks
303-.52199 -.05314 (303*2π)/5202 weeks
304.03379 -1.93347 (304*2π)/5202 weeks
3052.67205 -1.37518 (305*2π)/5202 weeks
3062.21299 .74618 (306*2π)/5202 weeks
307.6086 1.64639 (307*2π)/5202 weeks
308-1.33616 -.62438 (308*2π)/5202 weeks
309.62549 -1.94929 (309*2π)/5202 weeks
3101.1532 -1.44622 (310*2π)/5202 weeks
3111.9074 -1.49246 (311*2π)/5202 weeks
3121.71094 -.65581 (312*2π)/5202 weeks
3131.50023 -1.50955 (313*2π)/5202 weeks
3143.10872 -1.06574 (314*2π)/5202 weeks
3152.85042 1.41192 (315*2π)/5202 weeks
316.29136 1.66523 (316*2π)/5202 weeks
317-1.35306 -.53522 (317*2π)/5202 weeks
318.85086 -3.47212 (318*2π)/5202 weeks
3193.25957 -1.78471 (319*2π)/5202 weeks
3203.04449 .44754 (320*2π)/5202 weeks
3211.22645 1.90509 (321*2π)/5202 weeks
322-1.52027 -.3573 (322*2π)/5202 weeks
323.30229 -3.36046 (323*2π)/5202 weeks
3243.70133 -3.17583 (324*2π)/5202 weeks
3254.56491 .73426 (325*2π)/5202 weeks
3261.55984 2.26661 (326*2π)/5202 weeks
327.21037 .80171 (327*2π)/5202 weeks
328-.98287 -.61043 (328*2π)/5202 weeks
3291.57002 -2.96737 (329*2π)/5202 weeks
3302.86157 -.23116 (330*2π)/5202 weeks
3312.0603 .7597 (331*2π)/5202 weeks
332-.00804 1.20328 (332*2π)/5202 weeks
333-1.43678 -1.30679 (333*2π)/5202 weeks
334.12597 -3.10702 (334*2π)/5202 weeks
3352.73685 -3.90161 (335*2π)/5202 weeks
3364.73819 -.03375 (336*2π)/5202 weeks
3371.50963 1.39809 (337*2π)/5202 weeks
338.96806 .32893 (338*2π)/5202 weeks
339.29125 -.21933 (339*2π)/5202 weeks
340.76034 -1.17085 (340*2π)/5202 weeks
3411.00513 -1.22881 (341*2π)/5202 weeks
3422.11056 -.85271 (342*2π)/5202 weeks
343.99468 .718 (343*2π)/5202 weeks
344-.0806 -.53389 (344*2π)/5202 weeks
345-.63398 -1.75446 (345*2π)/5202 weeks
3461.285 -3.42619 (346*2π)/5202 weeks
3473.10231 -2.13019 (347*2π)/5201 weeks
3483.00071 .35475 (348*2π)/5201 weeks
349.62343 1.27769 (349*2π)/5201 weeks
350-1.32305 -1.05925 (350*2π)/5201 weeks
351.30296 -3.70499 (351*2π)/5201 weeks
3522.89443 -2.93336 (352*2π)/5201 weeks
3534.23893 -1.24428 (353*2π)/5201 weeks
3542.65702 1.29124 (354*2π)/5201 weeks
355.09407 .75274 (355*2π)/5201 weeks
356-.18815 -1.2997 (356*2π)/5201 weeks
357.82842 -2.03677 (357*2π)/5201 weeks
3581.87517 -1.69667 (358*2π)/5201 weeks
3592.40142 -1.20592 (359*2π)/5201 weeks
3602.03777 .60572 (360*2π)/5201 weeks
361-.52375 .19256 (361*2π)/5201 weeks
362-.5299 -2.02716 (362*2π)/5201 weeks
3631.08525 -2.80812 (363*2π)/5201 weeks
3642.07993 -2.65476 (364*2π)/5201 weeks
3652.60951 -.6251 (365*2π)/5201 weeks
3661.14253 -.72607 (366*2π)/5201 weeks
367.75932 -1.38304 (367*2π)/5201 weeks
3681.05473 -1.49858 (368*2π)/5201 weeks
369.52393 -2.00165 (369*2π)/5201 weeks
3702.38955 -2.75081 (370*2π)/5201 weeks
3711.99524 -.61519 (371*2π)/5201 weeks
3721.18825 -1.31958 (372*2π)/5201 weeks
3731.29222 -1.67169 (373*2π)/5201 weeks
3741.23327 -2.1247 (374*2π)/5201 weeks
3752.06587 -2.06556 (375*2π)/5201 weeks
3762.27599 -2.25697 (376*2π)/5201 weeks
3773.04892 -.116 (377*2π)/5201 weeks
378.30101 -.5768 (378*2π)/5201 weeks
3791.19849 -2.01429 (379*2π)/5201 weeks
3801.43371 -2.31916 (380*2π)/5201 weeks
3812.55183 -1.32613 (381*2π)/5201 weeks
3821.7365 -.49691 (382*2π)/5201 weeks
383.7643 -.92261 (383*2π)/5201 weeks
384.77634 -2.37013 (384*2π)/5201 weeks
3852.67342 -2.30532 (385*2π)/5201 weeks
3861.35576 -.20686 (386*2π)/5201 weeks
387.39734 -1.99445 (387*2π)/5201 weeks
388.71032 -2.47837 (388*2π)/5201 weeks
3892.08268 -2.56823 (389*2π)/5201 weeks
3901.12424 -1.02627 (390*2π)/5201 weeks
391.43097 -3.18382 (391*2π)/5201 weeks
3922.92632 -3.33977 (392*2π)/5201 weeks
3933.69776 -2.61957 (393*2π)/5201 weeks
3943.81547 -.24258 (394*2π)/5201 weeks
3951.09284 .31951 (395*2π)/5201 weeks
396.2324 -1.84166 (396*2π)/5201 weeks
3971.90307 -2.14957 (397*2π)/5201 weeks
3981.78325 -1.14353 (398*2π)/5201 weeks
399.91546 -1.79963 (399*2π)/5201 weeks
4001.15919 -1.24642 (400*2π)/5201 weeks
401.15963 -2.07477 (401*2π)/5201 weeks
402.80869 -3.83477 (402*2π)/5201 weeks
4034.04975 -4.67484 (403*2π)/5201 weeks
4044.86218 -.5342 (404*2π)/5201 weeks
4051.49892 .9689 (405*2π)/5201 weeks
406.00265 -1.54672 (406*2π)/5201 weeks
407.09227 -3.37012 (407*2π)/5201 weeks
4083.20403 -3.91661 (408*2π)/5201 weeks
4094.60959 -1.2362 (409*2π)/5201 weeks
4102.65147 1.92411 (410*2π)/5201 weeks
411-2.0035 1.03563 (411*2π)/5201 weeks
412-2.60302 -4.73282 (412*2π)/5201 weeks
4132.08032 -6.51185 (413*2π)/5201 weeks
4145.76098 -4.59617 (414*2π)/5201 weeks
4156.21972 .84729 (415*2π)/5201 weeks
416.18771 3.03532 (416*2π)/5201 weeks
417-3.70498 -1.56663 (417*2π)/5201 weeks
418-.93241 -6.92956 (418*2π)/5201 weeks
4194.64998 -6.80264 (419*2π)/5201 weeks
4208.30425 -2.00586 (420*2π)/5201 weeks
4213.59133 2.98101 (421*2π)/5201 weeks
422-1.07839 1.42325 (422*2π)/5201 weeks
423-1.83383 -3.82494 (423*2π)/5201 weeks
4242.3314 -5.99788 (424*2π)/5201 weeks
4255.71779 -3.16124 (425*2π)/5201 weeks
4264.64704 1.10442 (426*2π)/5201 weeks
427.47066 1.70682 (427*2π)/5201 weeks
428-.80434 -1.50227 (428*2π)/5201 weeks
429.2995 -2.75962 (429*2π)/5201 weeks
4301.85144 -2.46885 (430*2π)/5201 weeks
431.17042 -2.10592 (431*2π)/5201 weeks
4321.92381 -4.38243 (432*2π)/5201 weeks
4334.08131 -1.66212 (433*2π)/5201 weeks
4341.47926 .80711 (434*2π)/5201 weeks
435-1.72594 -1.17403 (435*2π)/5201 weeks
436-1.03112 -5.52539 (436*2π)/5201 weeks
4373.32231 -6.60013 (437*2π)/5201 weeks
4386.30558 -2.43677 (438*2π)/5201 weeks
4393.13342 2.5165 (439*2π)/5201 weeks
440-3.13327 .38583 (440*2π)/5201 weeks
441-2.27239 -5.00868 (441*2π)/5201 weeks
442.35687 -7.05761 (442*2π)/5201 weeks
4435.86903 -6.21328 (443*2π)/5201 weeks
4446.16692 -.81874 (444*2π)/5201 weeks
4452.36701 2.41492 (445*2π)/5201 weeks
446-3.1204 -1.34212 (446*2π)/5201 weeks
447.65447 -5.81184 (447*2π)/5201 weeks
4482.20155 -4.00545 (448*2π)/5201 weeks
4495.3084 -3.52434 (449*2π)/5201 weeks
4503.83063 2.64589 (450*2π)/5201 weeks
451-3.84843 1.09848 (451*2π)/5201 weeks
452-4.41614 -6.05891 (452*2π)/5201 weeks
4531.72781 -8.27735 (453*2π)/5201 weeks
4545.2288 -2.98441 (454*2π)/5201 weeks
455-.62083 -1.17407 (455*2π)/5201 weeks
456-.9234 -4.90461 (456*2π)/5201 weeks
457.33934 -7.97557 (457*2π)/5201 weeks
4586.32106 -6.31587 (458*2π)/5201 weeks
4596.17698 -.44248 (459*2π)/5201 weeks
460.66694 .66944 (460*2π)/5201 weeks
461-2.09575 -2.46208 (461*2π)/5201 weeks
462.71947 -6.19113 (462*2π)/5201 weeks
4633.27299 -3.64152 (463*2π)/5201 weeks
4641.12209 -1.8046 (464*2π)/5201 weeks
465-1.17051 -4.07573 (465*2π)/5201 weeks
466-.22949 -7.2191 (466*2π)/5201 weeks
4676.21447 -6.85691 (467*2π)/5201 weeks
4683.46083 -.45993 (468*2π)/5201 weeks
469-.18012 -2.76356 (469*2π)/5201 weeks
470.63763 -4.67116 (470*2π)/5201 weeks
4711.81397 -6.06472 (471*2π)/5201 weeks
4724.51834 -2.73255 (472*2π)/5201 weeks
473.68868 .19111 (473*2π)/5201 weeks
474-3.79784 -1.36976 (474*2π)/5201 weeks
475-4.40142 -4.84947 (475*2π)/5201 weeks
476-1.27967 -10.67524 (476*2π)/5201 weeks
4772.64695 -6.67355 (477*2π)/5201 weeks
478.70357 -6.43241 (478*2π)/5201 weeks
479-.70628 -5.48934 (479*2π)/5201 weeks
480.59298 -10.47764 (480*2π)/5201 weeks
4816.84047 -6.86786 (481*2π)/5201 weeks
482.04043 -1.58677 (482*2π)/5201 weeks
483-2.93536 -6.77196 (483*2π)/5201 weeks
484-1.62841 -10.08118 (484*2π)/5201 weeks
4853.21235 -13.67166 (485*2π)/5201 weeks
48610.23811 -7.59116 (486*2π)/5201 weeks
4877.42923 3.0596 (487*2π)/5201 weeks
488-9.13627 4.90928 (488*2π)/5201 weeks
489-13.40246 -13.53952 (489*2π)/5201 weeks
490-.59508 -22.35117 (490*2π)/5201 weeks
49112.14981 -16.97512 (491*2π)/5201 weeks
49212.40806 -2.9248 (492*2π)/5201 weeks
493-.77377 1.62708 (493*2π)/5201 weeks
494-6.62922 -3.1284 (494*2π)/5201 weeks
495-12.12879 -14.07136 (495*2π)/5201 weeks
496-.88113 -18.81039 (496*2π)/5201 weeks
4972.81061 -17.02112 (497*2π)/5201 weeks
4984.45415 -10.48773 (498*2π)/5201 weeks
499-.1193 -16.21984 (499*2π)/5201 weeks
5002.67677 -15.81819 (500*2π)/5201 weeks
5012.83071 -18.56089 (501*2π)/5201 weeks
5026.59738 -19.92988 (502*2π)/5201 weeks
50314.98119 -15.44167 (503*2π)/5201 weeks
5048.35955 -3.09231 (504*2π)/5201 weeks
505-.51543 -1.4525 (505*2π)/5201 weeks
506-15.94876 -8.40541 (506*2π)/5201 weeks
507-21.94017 -30.15582 (507*2π)/5201 weeks
508-3.26031 -54.69886 (508*2π)/5201 weeks
50932.47406 -44.63121 (509*2π)/5201 weeks
51030.9787 -12.78921 (510*2π)/5201 weeks
51111.78628 1.12728 (511*2π)/5201 weeks
512-29.72182 -8.76386 (512*2π)/5201 weeks
513-23.99165 -76.25358 (513*2π)/5201 weeks
51441.75581 -78.88813 (514*2π)/5201 weeks
51568.13647 -25.23177 (515*2π)/5201 weeks
5163.32817 24.05023 (516*2π)/5201 weeks
517-77.14088 -40.0416 (517*2π)/5201 weeks
518-57.43373 -202.8387 (518*2π)/5201 weeks

Problems, Comments, Suggestions? Click here to contact Greg Thatcher

Please read my Disclaimer





Copyright (c) 2013 Thatcher Development Software, LLC. All rights reserved. No claim to original U.S. Gov't works.