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

Fourier Analysis of UNG (United States Natural Gas Fund )


UNG (United States Natural Gas Fund ) appears to have interesting cyclic behaviour every 52 weeks (19.8653*sine), 47 weeks (18.5525*sine), and 52 weeks (8.5854*cosine).

UNG (United States Natural Gas Fund ) has an average price of 87.15 (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 4/18/2007 to 3/20/2017 for UNG (United States Natural Gas Fund ), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
087.14638   0 
184.42979 78.7957 (1*2π)/519519 weeks
227.23334 78.63882 (2*2π)/519260 weeks
3.05347 61.45899 (3*2π)/519173 weeks
4-14.77908 33.02821 (4*2π)/519130 weeks
5-11.1279 14.19735 (5*2π)/519104 weeks
6-3.05971 3.5634 (6*2π)/51987 weeks
710.59044 2.69055 (7*2π)/51974 weeks
813.45151 8.14477 (8*2π)/51965 weeks
914.03944 15.09409 (9*2π)/51958 weeks
108.58541 19.86525 (10*2π)/51952 weeks
112.95319 18.55249 (11*2π)/51947 weeks
12-1.20029 15.96804 (12*2π)/51943 weeks
13-2.33468 11.22166 (13*2π)/51940 weeks
14-2.35338 6.74439 (14*2π)/51937 weeks
15.71743 5.10717 (15*2π)/51935 weeks
163.09237 4.7376 (16*2π)/51932 weeks
175.28676 5.42009 (17*2π)/51931 weeks
186.49597 7.93292 (18*2π)/51929 weeks
194.18676 11.23262 (19*2π)/51927 weeks
20.50343 10.87249 (20*2π)/51926 weeks
21-.54052 7.72426 (21*2π)/51925 weeks
22-.41634 6.79783 (22*2π)/51924 weeks
23-.01623 4.97595 (23*2π)/51923 weeks
241.94189 4.69431 (24*2π)/51922 weeks
253.23844 6.43857 (25*2π)/51921 weeks
261.7668 7.22914 (26*2π)/51920 weeks
27.51901 7.64618 (27*2π)/51919 weeks
28-.62943 7.16745 (28*2π)/51919 weeks
29-1.87889 6.28146 (29*2π)/51918 weeks
30-2.73553 3.99654 (30*2π)/51917 weeks
31-1.42158 1.85154 (31*2π)/51917 weeks
32.99526 1.39524 (32*2π)/51916 weeks
332.21789 2.69443 (33*2π)/51916 weeks
342.37466 3.41688 (34*2π)/51915 weeks
352.39392 4.41285 (35*2π)/51915 weeks
361.48022 5.11246 (36*2π)/51914 weeks
37.3252 5.22046 (37*2π)/51914 weeks
38-.48753 4.234 (38*2π)/51914 weeks
39-.16376 2.7902 (39*2π)/51913 weeks
40.92275 2.58314 (40*2π)/51913 weeks
411.40281 3.22173 (41*2π)/51913 weeks
421.4125 3.83501 (42*2π)/51912 weeks
431.13503 3.96164 (43*2π)/51912 weeks
44.02987 4.4081 (44*2π)/51912 weeks
45-.75495 3.88116 (45*2π)/51912 weeks
46-1.33181 2.7478 (46*2π)/51911 weeks
47-.31696 1.62776 (47*2π)/51911 weeks
48.44328 1.79906 (48*2π)/51911 weeks
49.59457 2.13973 (49*2π)/51911 weeks
50.58097 2.35549 (50*2π)/51910 weeks
51.78083 2.35251 (51*2π)/51910 weeks
52.41469 2.4728 (52*2π)/51910 weeks
53-.01235 2.69728 (53*2π)/51910 weeks
54-.70143 1.79079 (54*2π)/51910 weeks
55.15439 .46354 (55*2π)/5199 weeks
561.23592 .7132 (56*2π)/5199 weeks
572.10798 1.59887 (57*2π)/5199 weeks
581.89213 2.33587 (58*2π)/5199 weeks
591.24564 2.86767 (59*2π)/5199 weeks
60.75831 2.81103 (60*2π)/5199 weeks
61.04026 2.79692 (61*2π)/5199 weeks
62-.62865 1.7515 (62*2π)/5198 weeks
63.20503 .89024 (63*2π)/5198 weeks
64.92682 .97152 (64*2π)/5198 weeks
65.94758 .74649 (65*2π)/5198 weeks
661.57998 .98647 (66*2π)/5198 weeks
671.9257 1.40908 (67*2π)/5198 weeks
682.01323 1.55373 (68*2π)/5198 weeks
692.19346 2.19375 (69*2π)/5198 weeks
701.65455 2.94747 (70*2π)/5197 weeks
71.71269 2.95432 (71*2π)/5197 weeks
72.59906 2.27848 (72*2π)/5197 weeks
73.64126 2.25717 (73*2π)/5197 weeks
74.49195 1.99575 (74*2π)/5197 weeks
75.67154 2.05998 (75*2π)/5197 weeks
76.69862 1.90308 (76*2π)/5197 weeks
77.52558 2.35132 (77*2π)/5197 weeks
78.11286 2.26026 (78*2π)/5197 weeks
79-.30541 1.82448 (79*2π)/5197 weeks
80-.31072 1.15356 (80*2π)/5196 weeks
81.53601 .45942 (81*2π)/5196 weeks
821.31212 1.2773 (82*2π)/5196 weeks
83.75225 2.10381 (83*2π)/5196 weeks
84.16722 1.8603 (84*2π)/5196 weeks
85-.22029 1.35697 (85*2π)/5196 weeks
86.11299 .56983 (86*2π)/5196 weeks
87.78007 .67308 (87*2π)/5196 weeks
88.99726 .93835 (88*2π)/5196 weeks
89.83372 1.10535 (89*2π)/5196 weeks
90.84181 .83394 (90*2π)/5196 weeks
911.28681 .96645 (91*2π)/5196 weeks
921.19776 1.26688 (92*2π)/5196 weeks
931.02511 1.51511 (93*2π)/5196 weeks
94.89533 1.5895 (94*2π)/5196 weeks
95.55649 1.43196 (95*2π)/5195 weeks
96.85545 .96931 (96*2π)/5195 weeks
97.97302 1.16796 (97*2π)/5195 weeks
981.14437 1.23384 (98*2π)/5195 weeks
991.27998 1.70753 (99*2π)/5195 weeks
100.87654 2.06752 (100*2π)/5195 weeks
101.43613 1.8999 (101*2π)/5195 weeks
102-.0723 1.89882 (102*2π)/5195 weeks
103-.02837 1.22116 (103*2π)/5195 weeks
104.19904 1.08328 (104*2π)/5195 weeks
105.31703 .89334 (105*2π)/5195 weeks
106.60268 1.13116 (106*2π)/5195 weeks
107.24253 1.32619 (107*2π)/5195 weeks
108-.03196 1.04861 (108*2π)/5195 weeks
109.12261 .63403 (109*2π)/5195 weeks
110.55533 .57377 (110*2π)/5195 weeks
111.53529 1.00135 (111*2π)/5195 weeks
112.16855 1.14813 (112*2π)/5195 weeks
113-.14737 .53074 (113*2π)/5195 weeks
114.09855 -.0277 (114*2π)/5195 weeks
115.69298 -.04617 (115*2π)/5195 weeks
1161.16169 .38076 (116*2π)/5194 weeks
117.7846 .62213 (117*2π)/5194 weeks
118.59418 .45196 (118*2π)/5194 weeks
119.89067 .19113 (119*2π)/5194 weeks
120.89119 .27484 (120*2π)/5194 weeks
1211.27607 .27943 (121*2π)/5194 weeks
1221.39422 .31133 (122*2π)/5194 weeks
1231.64358 .64236 (123*2π)/5194 weeks
1241.46359 1.05083 (124*2π)/5194 weeks
1251.04875 1.1678 (125*2π)/5194 weeks
1261.01717 .98598 (126*2π)/5194 weeks
1271.07396 1.15994 (127*2π)/5194 weeks
128.73649 1.01065 (128*2π)/5194 weeks
129.86889 .70165 (129*2π)/5194 weeks
1301.0638 .73282 (130*2π)/5194 weeks
1311.36381 1.03121 (131*2π)/5194 weeks
1321.04866 1.41441 (132*2π)/5194 weeks
133.68423 1.25445 (133*2π)/5194 weeks
134.68464 1.30026 (134*2π)/5194 weeks
135.55585 1.20559 (135*2π)/5194 weeks
136.32165 1.02823 (136*2π)/5194 weeks
137.34285 .79554 (137*2π)/5194 weeks
138.47658 .64212 (138*2π)/5194 weeks
139.61903 .55218 (139*2π)/5194 weeks
140.80144 .82652 (140*2π)/5194 weeks
141.62533 1.08082 (141*2π)/5194 weeks
142.21614 1.0733 (142*2π)/5194 weeks
143-.11962 .6305 (143*2π)/5194 weeks
144.2359 .10507 (144*2π)/5194 weeks
145.7029 -.01301 (145*2π)/5194 weeks
146.92086 .29923 (146*2π)/5194 weeks
147.86344 .42131 (147*2π)/5194 weeks
148.90318 .33118 (148*2π)/5194 weeks
1491.15314 .53174 (149*2π)/5193 weeks
1501.07221 .88665 (150*2π)/5193 weeks
151.66381 .77463 (151*2π)/5193 weeks
152.64603 .61836 (152*2π)/5193 weeks
153.6571 .46113 (153*2π)/5193 weeks
154.93647 .28672 (154*2π)/5193 weeks
1551.13673 .57328 (155*2π)/5193 weeks
1561.00234 .99633 (156*2π)/5193 weeks
157.52865 .96672 (157*2π)/5193 weeks
158.45847 .46561 (158*2π)/5193 weeks
159.8343 .39143 (159*2π)/5193 weeks
1601.07374 .69081 (160*2π)/5193 weeks
161.76928 1.02292 (161*2π)/5193 weeks
162.33803 .86602 (162*2π)/5193 weeks
163.24863 .42751 (163*2π)/5193 weeks
164.58542 .20287 (164*2π)/5193 weeks
165.72209 .37645 (165*2π)/5193 weeks
166.79477 .34645 (166*2π)/5193 weeks
167.68913 .34166 (167*2π)/5193 weeks
168.97161 .31015 (168*2π)/5193 weeks
1691.1549 .71498 (169*2π)/5193 weeks
170.80884 .82105 (170*2π)/5193 weeks
171.57682 .76976 (171*2π)/5193 weeks
172.51072 .64026 (172*2π)/5193 weeks
173.46345 .62511 (173*2π)/5193 weeks
174.31613 .37475 (174*2π)/5193 weeks
175.51848 .29167 (175*2π)/5193 weeks
176.4856 .2603 (176*2π)/5193 weeks
177.56037 .1576 (177*2π)/5193 weeks
178.79987 .1615 (178*2π)/5193 weeks
179.84548 .20679 (179*2π)/5193 weeks
180.89719 .37159 (180*2π)/5193 weeks
181.81563 .5061 (181*2π)/5193 weeks
182.72852 .50743 (182*2π)/5193 weeks
183.60803 .42904 (183*2π)/5193 weeks
184.45701 .29739 (184*2π)/5193 weeks
185.70902 .01556 (185*2π)/5193 weeks
186.87839 .2057 (186*2π)/5193 weeks
187.9366 .15721 (187*2π)/5193 weeks
1881.11471 .37769 (188*2π)/5193 weeks
189.82184 .50093 (189*2π)/5193 weeks
190.74064 .29191 (190*2π)/5193 weeks
1911.04529 .29729 (191*2π)/5193 weeks
1921.07486 .58016 (192*2π)/5193 weeks
193.80306 .62747 (193*2π)/5193 weeks
194.82871 .78866 (194*2π)/5193 weeks
195.36242 .80732 (195*2π)/5193 weeks
196.06075 .2437 (196*2π)/5193 weeks
197.45922 -.27355 (197*2π)/5193 weeks
1981.08098 -.05707 (198*2π)/5193 weeks
1991.20028 .40549 (199*2π)/5193 weeks
200.86682 .62577 (200*2π)/5193 weeks
201.63632 .50648 (201*2π)/5193 weeks
202.72146 .47695 (202*2π)/5193 weeks
203.60214 .53846 (203*2π)/5193 weeks
204.49919 .37531 (204*2π)/5193 weeks
205.38718 .28482 (205*2π)/5193 weeks
206.51476 .0923 (206*2π)/5193 weeks
207.63544 .12043 (207*2π)/5193 weeks
208.79129 .08689 (208*2π)/5192 weeks
209.83161 .26227 (209*2π)/5192 weeks
210.72159 .39949 (210*2π)/5192 weeks
211.6246 .34361 (211*2π)/5192 weeks
212.69821 .21636 (212*2π)/5192 weeks
213.60161 .30208 (213*2π)/5192 weeks
214.51917 .27633 (214*2π)/5192 weeks
215.51977 .16029 (215*2π)/5192 weeks
216.48534 -.03999 (216*2π)/5192 weeks
217.76709 -.16697 (217*2π)/5192 weeks
218.9742 -.00107 (218*2π)/5192 weeks
2191.04669 .17203 (219*2π)/5192 weeks
220.94199 .33447 (220*2π)/5192 weeks
221.84462 .40866 (221*2π)/5192 weeks
222.72492 .26576 (222*2π)/5192 weeks
223.82875 .22748 (223*2π)/5192 weeks
2241.01194 .35159 (224*2π)/5192 weeks
225.91394 .63882 (225*2π)/5192 weeks
226.57672 .74423 (226*2π)/5192 weeks
227.3581 .59269 (227*2π)/5192 weeks
228.25783 .50274 (228*2π)/5192 weeks
229.08038 .22308 (229*2π)/5192 weeks
230.22502 -.02656 (230*2π)/5192 weeks
231.3224 -.1209 (231*2π)/5192 weeks
232.49912 -.24377 (232*2π)/5192 weeks
233.70766 -.07162 (233*2π)/5192 weeks
234.60137 .11361 (234*2π)/5192 weeks
235.50659 .0021 (235*2π)/5192 weeks
236.43548 -.06753 (236*2π)/5192 weeks
237.55471 -.21991 (237*2π)/5192 weeks
238.624 -.20818 (238*2π)/5192 weeks
239.72222 -.23427 (239*2π)/5192 weeks
240.83956 -.04679 (240*2π)/5192 weeks
241.62321 -.00067 (241*2π)/5192 weeks
242.48721 -.08148 (242*2π)/5192 weeks
243.42789 -.34694 (243*2π)/5192 weeks
244.80982 -.64985 (244*2π)/5192 weeks
2451.23917 -.46817 (245*2π)/5192 weeks
2461.29186 -.12218 (246*2π)/5192 weeks
2471.20179 .15896 (247*2π)/5192 weeks
2481.07261 .33268 (248*2π)/5192 weeks
249.79791 .64795 (249*2π)/5192 weeks
250.25626 .34074 (250*2π)/5192 weeks
251.12003 -.23711 (251*2π)/5192 weeks
252.46981 -.6023 (252*2π)/5192 weeks
253.96226 -.69217 (253*2π)/5192 weeks
2541.40381 -.43847 (254*2π)/5192 weeks
2551.4533 .06016 (255*2π)/5192 weeks
2561.22795 .37544 (256*2π)/5192 weeks
257.8453 .47812 (257*2π)/5192 weeks
258.54986 .34023 (258*2π)/5192 weeks
259.4983 .03275 (259*2π)/5192 weeks
260.4983 -.03275 (260*2π)/5192 weeks
261.54986 -.34023 (261*2π)/5192 weeks
262.8453 -.47812 (262*2π)/5192 weeks
2631.22795 -.37544 (263*2π)/5192 weeks
2641.4533 -.06016 (264*2π)/5192 weeks
2651.40381 .43847 (265*2π)/5192 weeks
266.96226 .69217 (266*2π)/5192 weeks
267.46981 .6023 (267*2π)/5192 weeks
268.12003 .23711 (268*2π)/5192 weeks
269.25626 -.34074 (269*2π)/5192 weeks
270.79791 -.64795 (270*2π)/5192 weeks
2711.07261 -.33268 (271*2π)/5192 weeks
2721.20179 -.15896 (272*2π)/5192 weeks
2731.29186 .12218 (273*2π)/5192 weeks
2741.23917 .46817 (274*2π)/5192 weeks
275.80982 .64985 (275*2π)/5192 weeks
276.42789 .34694 (276*2π)/5192 weeks
277.48721 .08148 (277*2π)/5192 weeks
278.62321 .00067 (278*2π)/5192 weeks
279.83956 .04679 (279*2π)/5192 weeks
280.72222 .23427 (280*2π)/5192 weeks
281.624 .20818 (281*2π)/5192 weeks
282.55471 .21991 (282*2π)/5192 weeks
283.43548 .06753 (283*2π)/5192 weeks
284.50659 -.0021 (284*2π)/5192 weeks
285.60137 -.11361 (285*2π)/5192 weeks
286.70766 .07162 (286*2π)/5192 weeks
287.49912 .24377 (287*2π)/5192 weeks
288.3224 .1209 (288*2π)/5192 weeks
289.22502 .02656 (289*2π)/5192 weeks
290.08038 -.22308 (290*2π)/5192 weeks
291.25783 -.50274 (291*2π)/5192 weeks
292.3581 -.59269 (292*2π)/5192 weeks
293.57672 -.74423 (293*2π)/5192 weeks
294.91394 -.63882 (294*2π)/5192 weeks
2951.01194 -.35159 (295*2π)/5192 weeks
296.82875 -.22748 (296*2π)/5192 weeks
297.72492 -.26576 (297*2π)/5192 weeks
298.84462 -.40866 (298*2π)/5192 weeks
299.94199 -.33447 (299*2π)/5192 weeks
3001.04669 -.17203 (300*2π)/5192 weeks
301.9742 .00107 (301*2π)/5192 weeks
302.76709 .16697 (302*2π)/5192 weeks
303.48534 .03999 (303*2π)/5192 weeks
304.51977 -.16029 (304*2π)/5192 weeks
305.51917 -.27633 (305*2π)/5192 weeks
306.60161 -.30208 (306*2π)/5192 weeks
307.69821 -.21636 (307*2π)/5192 weeks
308.6246 -.34361 (308*2π)/5192 weeks
309.72159 -.39949 (309*2π)/5192 weeks
310.83161 -.26227 (310*2π)/5192 weeks
311.79129 -.08689 (311*2π)/5192 weeks
312.63544 -.12043 (312*2π)/5192 weeks
313.51476 -.0923 (313*2π)/5192 weeks
314.38718 -.28482 (314*2π)/5192 weeks
315.49919 -.37531 (315*2π)/5192 weeks
316.60214 -.53846 (316*2π)/5192 weeks
317.72146 -.47695 (317*2π)/5192 weeks
318.63632 -.50648 (318*2π)/5192 weeks
319.86682 -.62577 (319*2π)/5192 weeks
3201.20028 -.40549 (320*2π)/5192 weeks
3211.08098 .05707 (321*2π)/5192 weeks
322.45922 .27355 (322*2π)/5192 weeks
323.06075 -.2437 (323*2π)/5192 weeks
324.36242 -.80732 (324*2π)/5192 weeks
325.82871 -.78866 (325*2π)/5192 weeks
326.80306 -.62747 (326*2π)/5192 weeks
3271.07486 -.58016 (327*2π)/5192 weeks
3281.04529 -.29729 (328*2π)/5192 weeks
329.74064 -.29191 (329*2π)/5192 weeks
330.82184 -.50093 (330*2π)/5192 weeks
3311.11471 -.37769 (331*2π)/5192 weeks
332.9366 -.15721 (332*2π)/5192 weeks
333.87839 -.2057 (333*2π)/5192 weeks
334.70902 -.01556 (334*2π)/5192 weeks
335.45701 -.29739 (335*2π)/5192 weeks
336.60803 -.42904 (336*2π)/5192 weeks
337.72852 -.50743 (337*2π)/5192 weeks
338.81563 -.5061 (338*2π)/5192 weeks
339.89719 -.37159 (339*2π)/5192 weeks
340.84548 -.20679 (340*2π)/5192 weeks
341.79987 -.1615 (341*2π)/5192 weeks
342.56037 -.1576 (342*2π)/5192 weeks
343.4856 -.2603 (343*2π)/5192 weeks
344.51848 -.29167 (344*2π)/5192 weeks
345.31613 -.37475 (345*2π)/5192 weeks
346.46345 -.62511 (346*2π)/5192 weeks
347.51072 -.64026 (347*2π)/5191 weeks
348.57682 -.76976 (348*2π)/5191 weeks
349.80884 -.82105 (349*2π)/5191 weeks
3501.1549 -.71498 (350*2π)/5191 weeks
351.97161 -.31015 (351*2π)/5191 weeks
352.68913 -.34166 (352*2π)/5191 weeks
353.79477 -.34645 (353*2π)/5191 weeks
354.72209 -.37645 (354*2π)/5191 weeks
355.58542 -.20287 (355*2π)/5191 weeks
356.24863 -.42751 (356*2π)/5191 weeks
357.33803 -.86602 (357*2π)/5191 weeks
358.76928 -1.02292 (358*2π)/5191 weeks
3591.07374 -.69081 (359*2π)/5191 weeks
360.8343 -.39143 (360*2π)/5191 weeks
361.45847 -.46561 (361*2π)/5191 weeks
362.52865 -.96672 (362*2π)/5191 weeks
3631.00234 -.99633 (363*2π)/5191 weeks
3641.13673 -.57328 (364*2π)/5191 weeks
365.93647 -.28672 (365*2π)/5191 weeks
366.6571 -.46113 (366*2π)/5191 weeks
367.64603 -.61836 (367*2π)/5191 weeks
368.66381 -.77463 (368*2π)/5191 weeks
3691.07221 -.88665 (369*2π)/5191 weeks
3701.15314 -.53174 (370*2π)/5191 weeks
371.90318 -.33118 (371*2π)/5191 weeks
372.86344 -.42131 (372*2π)/5191 weeks
373.92086 -.29923 (373*2π)/5191 weeks
374.7029 .01301 (374*2π)/5191 weeks
375.2359 -.10507 (375*2π)/5191 weeks
376-.11962 -.6305 (376*2π)/5191 weeks
377.21614 -1.0733 (377*2π)/5191 weeks
378.62533 -1.08082 (378*2π)/5191 weeks
379.80144 -.82652 (379*2π)/5191 weeks
380.61903 -.55218 (380*2π)/5191 weeks
381.47658 -.64212 (381*2π)/5191 weeks
382.34285 -.79554 (382*2π)/5191 weeks
383.32165 -1.02823 (383*2π)/5191 weeks
384.55585 -1.20559 (384*2π)/5191 weeks
385.68464 -1.30026 (385*2π)/5191 weeks
386.68423 -1.25445 (386*2π)/5191 weeks
3871.04866 -1.41441 (387*2π)/5191 weeks
3881.36381 -1.03121 (388*2π)/5191 weeks
3891.0638 -.73282 (389*2π)/5191 weeks
390.86889 -.70165 (390*2π)/5191 weeks
391.73649 -1.01065 (391*2π)/5191 weeks
3921.07396 -1.15994 (392*2π)/5191 weeks
3931.01717 -.98598 (393*2π)/5191 weeks
3941.04875 -1.1678 (394*2π)/5191 weeks
3951.46359 -1.05083 (395*2π)/5191 weeks
3961.64358 -.64236 (396*2π)/5191 weeks
3971.39422 -.31133 (397*2π)/5191 weeks
3981.27607 -.27943 (398*2π)/5191 weeks
399.89119 -.27484 (399*2π)/5191 weeks
400.89067 -.19113 (400*2π)/5191 weeks
401.59418 -.45196 (401*2π)/5191 weeks
402.7846 -.62213 (402*2π)/5191 weeks
4031.16169 -.38076 (403*2π)/5191 weeks
404.69298 .04617 (404*2π)/5191 weeks
405.09855 .0277 (405*2π)/5191 weeks
406-.14737 -.53074 (406*2π)/5191 weeks
407.16855 -1.14813 (407*2π)/5191 weeks
408.53529 -1.00135 (408*2π)/5191 weeks
409.55533 -.57377 (409*2π)/5191 weeks
410.12261 -.63403 (410*2π)/5191 weeks
411-.03196 -1.04861 (411*2π)/5191 weeks
412.24253 -1.32619 (412*2π)/5191 weeks
413.60268 -1.13116 (413*2π)/5191 weeks
414.31703 -.89334 (414*2π)/5191 weeks
415.19904 -1.08328 (415*2π)/5191 weeks
416-.02837 -1.22116 (416*2π)/5191 weeks
417-.0723 -1.89882 (417*2π)/5191 weeks
418.43613 -1.8999 (418*2π)/5191 weeks
419.87654 -2.06752 (419*2π)/5191 weeks
4201.27998 -1.70753 (420*2π)/5191 weeks
4211.14437 -1.23384 (421*2π)/5191 weeks
422.97302 -1.16796 (422*2π)/5191 weeks
423.85545 -.96931 (423*2π)/5191 weeks
424.55649 -1.43196 (424*2π)/5191 weeks
425.89533 -1.5895 (425*2π)/5191 weeks
4261.02511 -1.51511 (426*2π)/5191 weeks
4271.19776 -1.26688 (427*2π)/5191 weeks
4281.28681 -.96645 (428*2π)/5191 weeks
429.84181 -.83394 (429*2π)/5191 weeks
430.83372 -1.10535 (430*2π)/5191 weeks
431.99726 -.93835 (431*2π)/5191 weeks
432.78007 -.67308 (432*2π)/5191 weeks
433.11299 -.56983 (433*2π)/5191 weeks
434-.22029 -1.35697 (434*2π)/5191 weeks
435.16722 -1.8603 (435*2π)/5191 weeks
436.75225 -2.10381 (436*2π)/5191 weeks
4371.31212 -1.2773 (437*2π)/5191 weeks
438.53601 -.45942 (438*2π)/5191 weeks
439-.31072 -1.15356 (439*2π)/5191 weeks
440-.30541 -1.82448 (440*2π)/5191 weeks
441.11286 -2.26026 (441*2π)/5191 weeks
442.52558 -2.35132 (442*2π)/5191 weeks
443.69862 -1.90308 (443*2π)/5191 weeks
444.67154 -2.05998 (444*2π)/5191 weeks
445.49195 -1.99575 (445*2π)/5191 weeks
446.64126 -2.25717 (446*2π)/5191 weeks
447.59906 -2.27848 (447*2π)/5191 weeks
448.71269 -2.95432 (448*2π)/5191 weeks
4491.65455 -2.94747 (449*2π)/5191 weeks
4502.19346 -2.19375 (450*2π)/5191 weeks
4512.01323 -1.55373 (451*2π)/5191 weeks
4521.9257 -1.40908 (452*2π)/5191 weeks
4531.57998 -.98647 (453*2π)/5191 weeks
454.94758 -.74649 (454*2π)/5191 weeks
455.92682 -.97152 (455*2π)/5191 weeks
456.20503 -.89024 (456*2π)/5191 weeks
457-.62865 -1.7515 (457*2π)/5191 weeks
458.04026 -2.79692 (458*2π)/5191 weeks
459.75831 -2.81103 (459*2π)/5191 weeks
4601.24564 -2.86767 (460*2π)/5191 weeks
4611.89213 -2.33587 (461*2π)/5191 weeks
4622.10798 -1.59887 (462*2π)/5191 weeks
4631.23592 -.7132 (463*2π)/5191 weeks
464.15439 -.46354 (464*2π)/5191 weeks
465-.70143 -1.79079 (465*2π)/5191 weeks
466-.01235 -2.69728 (466*2π)/5191 weeks
467.41469 -2.4728 (467*2π)/5191 weeks
468.78083 -2.35251 (468*2π)/5191 weeks
469.58097 -2.35549 (469*2π)/5191 weeks
470.59457 -2.13973 (470*2π)/5191 weeks
471.44328 -1.79906 (471*2π)/5191 weeks
472-.31696 -1.62776 (472*2π)/5191 weeks
473-1.33181 -2.7478 (473*2π)/5191 weeks
474-.75495 -3.88116 (474*2π)/5191 weeks
475.02987 -4.4081 (475*2π)/5191 weeks
4761.13503 -3.96164 (476*2π)/5191 weeks
4771.4125 -3.83501 (477*2π)/5191 weeks
4781.40281 -3.22173 (478*2π)/5191 weeks
479.92275 -2.58314 (479*2π)/5191 weeks
480-.16376 -2.7902 (480*2π)/5191 weeks
481-.48753 -4.234 (481*2π)/5191 weeks
482.3252 -5.22046 (482*2π)/5191 weeks
4831.48022 -5.11246 (483*2π)/5191 weeks
4842.39392 -4.41285 (484*2π)/5191 weeks
4852.37466 -3.41688 (485*2π)/5191 weeks
4862.21789 -2.69443 (486*2π)/5191 weeks
487.99526 -1.39524 (487*2π)/5191 weeks
488-1.42158 -1.85154 (488*2π)/5191 weeks
489-2.73553 -3.99654 (489*2π)/5191 weeks
490-1.87889 -6.28146 (490*2π)/5191 weeks
491-.62943 -7.16745 (491*2π)/5191 weeks
492.51901 -7.64618 (492*2π)/5191 weeks
4931.7668 -7.22914 (493*2π)/5191 weeks
4943.23844 -6.43857 (494*2π)/5191 weeks
4951.94189 -4.69431 (495*2π)/5191 weeks
496-.01623 -4.97595 (496*2π)/5191 weeks
497-.41634 -6.79783 (497*2π)/5191 weeks
498-.54052 -7.72426 (498*2π)/5191 weeks
499.50343 -10.87249 (499*2π)/5191 weeks
5004.18676 -11.23262 (500*2π)/5191 weeks
5016.49597 -7.93292 (501*2π)/5191 weeks
5025.28676 -5.42009 (502*2π)/5191 weeks
5033.09237 -4.7376 (503*2π)/5191 weeks
504.71743 -5.10717 (504*2π)/5191 weeks
505-2.35338 -6.74439 (505*2π)/5191 weeks
506-2.33468 -11.22166 (506*2π)/5191 weeks
507-1.20029 -15.96804 (507*2π)/5191 weeks
5082.95319 -18.55249 (508*2π)/5191 weeks
5098.58541 -19.86525 (509*2π)/5191 weeks
51014.03944 -15.09409 (510*2π)/5191 weeks
51113.45151 -8.14477 (511*2π)/5191 weeks
51210.59044 -2.69055 (512*2π)/5191 weeks
513-3.05971 -3.5634 (513*2π)/5191 weeks
514-11.1279 -14.19735 (514*2π)/5191 weeks
515-14.77908 -33.02821 (515*2π)/5191 weeks
516.05347 -61.45899 (516*2π)/5191 weeks
51727.23334 -78.63882 (517*2π)/5191 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.