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Fourier Analysis of ARBA (Ariba, Inc.)


ARBA (Ariba, Inc.) appears to have interesting cyclic behaviour every 33 weeks (19.6829*cosine), 39 weeks (18.913*sine), and 32 weeks (17.2875*cosine).

ARBA (Ariba, Inc.) has an average price of 74.55 (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 6/23/1999 to 10/1/2012 for ARBA (Ariba, Inc.), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
074.55093   0 
1111.0783 50.57854 (1*2π)/693693 weeks
268.56989 81.08055 (2*2π)/693347 weeks
323.79842 91.34155 (3*2π)/693231 weeks
4-20.17242 81.415 (4*2π)/693173 weeks
5-46.5192 53.95702 (5*2π)/693139 weeks
6-52.44017 21.90168 (6*2π)/693116 weeks
7-43.81054 -5.52541 (7*2π)/69399 weeks
8-24.44598 -20.78361 (8*2π)/69387 weeks
9-3.21531 -22.76915 (9*2π)/69377 weeks
1010.78176 -12.87341 (10*2π)/69369 weeks
1112.35011 .92732 (11*2π)/69363 weeks
126.74743 12.01022 (12*2π)/69358 weeks
13-4.85047 14.08374 (13*2π)/69353 weeks
14-13.30265 8.82598 (14*2π)/69350 weeks
15-17.16901 1.60702 (15*2π)/69346 weeks
16-15.47498 -9.07682 (16*2π)/69343 weeks
17-8.39537 -16.91015 (17*2π)/69341 weeks
181.17182 -18.91297 (18*2π)/69339 weeks
1911.70517 -16.82809 (19*2π)/69336 weeks
2018.23462 -8.79462 (20*2π)/69335 weeks
2119.68292 1.31907 (21*2π)/69333 weeks
2217.28748 9.98984 (22*2π)/69332 weeks
2310.43709 15.50314 (23*2π)/69330 weeks
243.47369 17.52491 (24*2π)/69329 weeks
25-3.11871 16.3769 (25*2π)/69328 weeks
26-7.86703 12.60098 (26*2π)/69327 weeks
27-10.33311 8.44415 (27*2π)/69326 weeks
28-11.90213 3.94681 (28*2π)/69325 weeks
29-11.06949 -1.32322 (29*2π)/69324 weeks
30-8.14358 -5.16319 (30*2π)/69323 weeks
31-4.16125 -7.11034 (31*2π)/69322 weeks
32-.76489 -6.50214 (32*2π)/69322 weeks
331.54015 -5.63356 (33*2π)/69321 weeks
343.33379 -3.84465 (34*2π)/69320 weeks
353.78399 -1.6909 (35*2π)/69320 weeks
363.2425 -.58808 (36*2π)/69319 weeks
373.1887 .28581 (37*2π)/69319 weeks
383.16555 1.20029 (38*2π)/69318 weeks
393.01063 1.97947 (39*2π)/69318 weeks
402.67036 2.76156 (40*2π)/69317 weeks
411.84844 3.20593 (41*2π)/69317 weeks
421.14178 3.73238 (42*2π)/69317 weeks
43.00048 3.81122 (43*2π)/69316 weeks
44-1.62854 3.92073 (44*2π)/69316 weeks
45-3.32532 2.69888 (45*2π)/69315 weeks
46-3.72855 .79256 (46*2π)/69315 weeks
47-3.43505 -.62618 (47*2π)/69315 weeks
48-2.68961 -1.78045 (48*2π)/69314 weeks
49-1.70863 -2.66628 (49*2π)/69314 weeks
50-.35512 -2.94266 (50*2π)/69314 weeks
51.90341 -2.71927 (51*2π)/69314 weeks
521.93925 -2.46976 (52*2π)/69313 weeks
532.77304 -2.03971 (53*2π)/69313 weeks
543.51922 -1.24437 (54*2π)/69313 weeks
554.05062 -.28315 (55*2π)/69313 weeks
564.25216 1.15406 (56*2π)/69312 weeks
573.722 2.69572 (57*2π)/69312 weeks
583.05337 3.80208 (58*2π)/69312 weeks
591.46165 4.65374 (59*2π)/69312 weeks
60-.39748 4.66697 (60*2π)/69312 weeks
61-1.5877 3.75948 (61*2π)/69311 weeks
62-1.95742 2.7418 (62*2π)/69311 weeks
63-1.8585 1.95158 (63*2π)/69311 weeks
64-1.82503 1.27077 (64*2π)/69311 weeks
65-1.8633 .67061 (65*2π)/69311 weeks
66-1.66232 .06308 (66*2π)/69311 weeks
67-1.39969 -.17392 (67*2π)/69310 weeks
68-1.53339 -.3386 (68*2π)/69310 weeks
69-1.38363 -.79217 (69*2π)/69310 weeks
70-1.03043 -1.12822 (70*2π)/69310 weeks
71-.59975 -1.55518 (71*2π)/69310 weeks
72.31097 -2.01299 (72*2π)/69310 weeks
731.31316 -2.04571 (73*2π)/6939 weeks
742.19492 -1.57382 (74*2π)/6939 weeks
752.96159 -.70611 (75*2π)/6939 weeks
763.22733 .20583 (76*2π)/6939 weeks
773.31683 1.15888 (77*2π)/6939 weeks
783.20334 2.3602 (78*2π)/6939 weeks
792.49087 3.80563 (79*2π)/6939 weeks
80.95572 4.55969 (80*2π)/6939 weeks
81-.78746 4.47413 (81*2π)/6939 weeks
82-2.03294 3.71189 (82*2π)/6938 weeks
83-3.0538 2.51215 (83*2π)/6938 weeks
84-3.41433 1.20541 (84*2π)/6938 weeks
85-3.14485 -.33295 (85*2π)/6938 weeks
86-2.37665 -1.62265 (86*2π)/6938 weeks
87-1.06759 -2.31405 (87*2π)/6938 weeks
88.37029 -2.13567 (88*2π)/6938 weeks
891.23773 -1.2862 (89*2π)/6938 weeks
901.32796 -.12012 (90*2π)/6938 weeks
911.04691 .76088 (91*2π)/6938 weeks
92.25932 1.11123 (92*2π)/6938 weeks
93-.44001 .79238 (93*2π)/6937 weeks
94-.60252 .14885 (94*2π)/6937 weeks
95-.25053 -.55957 (95*2π)/6937 weeks
96.60941 -1.22089 (96*2π)/6937 weeks
971.73173 -.94178 (97*2π)/6937 weeks
982.49386 .11141 (98*2π)/6937 weeks
992.44126 1.5917 (99*2π)/6937 weeks
1001.36108 2.85772 (100*2π)/6937 weeks
101-.02159 3.24326 (101*2π)/6937 weeks
102-1.47727 2.67917 (102*2π)/6937 weeks
103-2.55644 1.36944 (103*2π)/6937 weeks
104-2.31122 -.35195 (104*2π)/6937 weeks
105-1.06917 -1.43129 (105*2π)/6937 weeks
106.20871 -1.45981 (106*2π)/6937 weeks
1071.46139 -.79848 (107*2π)/6936 weeks
1082.19333 .35486 (108*2π)/6936 weeks
1091.85097 1.69835 (109*2π)/6936 weeks
110.80859 2.68739 (110*2π)/6936 weeks
111-.44481 2.65252 (111*2π)/6936 weeks
112-1.55714 1.86395 (112*2π)/6936 weeks
113-1.88909 .59533 (113*2π)/6936 weeks
114-1.36148 -.3616 (114*2π)/6936 weeks
115-.58691 -.73775 (115*2π)/6936 weeks
116.25038 -.55622 (116*2π)/6936 weeks
117.76631 .27341 (117*2π)/6936 weeks
118.44204 1.09068 (118*2π)/6936 weeks
119-.2506 1.53607 (119*2π)/6936 weeks
120-1.12669 1.44985 (120*2π)/6936 weeks
121-1.7207 .69591 (121*2π)/6936 weeks
122-1.78769 -.2271 (122*2π)/6936 weeks
123-1.31505 -1.00973 (123*2π)/6936 weeks
124-.31281 -1.41983 (124*2π)/6936 weeks
125.52828 -1.18369 (125*2π)/6936 weeks
1261.03795 -.45571 (126*2π)/6936 weeks
1271.12423 .38569 (127*2π)/6935 weeks
128.7966 1.04549 (128*2π)/6935 weeks
129-.00904 1.4466 (129*2π)/6935 weeks
130-1.00083 1.3315 (130*2π)/6935 weeks
131-1.57246 .57145 (131*2π)/6935 weeks
132-1.80914 -.4206 (132*2π)/6935 weeks
133-1.36298 -1.28521 (133*2π)/6935 weeks
134-.44961 -1.92861 (134*2π)/6935 weeks
135.74465 -2.03955 (135*2π)/6935 weeks
1361.84013 -1.38646 (136*2π)/6935 weeks
1372.48668 -.19166 (137*2π)/6935 weeks
1382.39283 .95494 (138*2π)/6935 weeks
1391.70731 1.93657 (139*2π)/6935 weeks
140.76397 2.43265 (140*2π)/6935 weeks
141-.26225 2.50366 (141*2π)/6935 weeks
142-1.10269 2.0814 (142*2π)/6935 weeks
143-1.62993 1.49113 (143*2π)/6935 weeks
144-1.89787 .65779 (144*2π)/6935 weeks
145-1.85626 -.22294 (145*2π)/6935 weeks
146-1.46581 -.78781 (146*2π)/6935 weeks
147-.99378 -1.24962 (147*2π)/6935 weeks
148-.32091 -1.45081 (148*2π)/6935 weeks
149.26232 -1.28018 (149*2π)/6935 weeks
150.59159 -.88479 (150*2π)/6935 weeks
151.77403 -.50394 (151*2π)/6935 weeks
152.77136 -.06461 (152*2π)/6935 weeks
153.53782 .18436 (153*2π)/6935 weeks
154.46504 .18048 (154*2π)/6935 weeks
155.57443 .18856 (155*2π)/6934 weeks
156.56417 .21098 (156*2π)/6934 weeks
157.68137 .43081 (157*2π)/6934 weeks
158.48942 .78898 (158*2π)/6934 weeks
159.11882 .94987 (159*2π)/6934 weeks
160-.24903 1.05745 (160*2π)/6934 weeks
161-.70447 .82066 (161*2π)/6934 weeks
162-.97528 .46864 (162*2π)/6934 weeks
163-1.08747 .03068 (163*2π)/6934 weeks
164-.89021 -.42353 (164*2π)/6934 weeks
165-.62195 -.6808 (165*2π)/6934 weeks
166-.30705 -.91426 (166*2π)/6934 weeks
167.24465 -.97193 (167*2π)/6934 weeks
168.54343 -.62893 (168*2π)/6934 weeks
169.71375 -.27046 (169*2π)/6934 weeks
170.67434 -.01222 (170*2π)/6934 weeks
171.62277 .16503 (171*2π)/6934 weeks
172.65204 .32595 (172*2π)/6934 weeks
173.71744 .34157 (173*2π)/6934 weeks
174.68944 .54885 (174*2π)/6934 weeks
175.38605 .79305 (175*2π)/6934 weeks
176.01948 .80237 (176*2π)/6934 weeks
177-.27127 .6417 (177*2π)/6934 weeks
178-.40871 .43242 (178*2π)/6934 weeks
179-.53405 .29533 (179*2π)/6934 weeks
180-.58259 -.04939 (180*2π)/6934 weeks
181-.41969 -.27462 (181*2π)/6934 weeks
182-.17406 -.37197 (182*2π)/6934 weeks
183-.00474 -.43964 (183*2π)/6934 weeks
184.11917 -.3104 (184*2π)/6934 weeks
185.07027 -.26587 (185*2π)/6934 weeks
186.22731 -.37959 (186*2π)/6934 weeks
187.2752 -.50712 (187*2π)/6934 weeks
188.6137 -.53094 (188*2π)/6934 weeks
1891.1006 -.27601 (189*2π)/6934 weeks
1901.23092 .236 (190*2π)/6934 weeks
1911.04156 .68509 (191*2π)/6934 weeks
192.63688 1.12337 (192*2π)/6934 weeks
193.07992 1.35199 (193*2π)/6934 weeks
194-.57173 1.21028 (194*2π)/6934 weeks
195-1.02988 .75877 (195*2π)/6934 weeks
196-1.17011 .1783 (196*2π)/6934 weeks
197-1.0127 -.49717 (197*2π)/6934 weeks
198-.49502 -.95677 (198*2π)/6934 weeks
199.18074 -1.02258 (199*2π)/6933 weeks
200.74427 -.82939 (200*2π)/6933 weeks
2011.07583 -.33481 (201*2π)/6933 weeks
2021.06632 .36377 (202*2π)/6933 weeks
203.63162 .76002 (203*2π)/6933 weeks
204.03783 .83338 (204*2π)/6933 weeks
205-.48046 .62192 (205*2π)/6933 weeks
206-.71136 -.03691 (206*2π)/6933 weeks
207-.53847 -.7634 (207*2π)/6933 weeks
208-.02454 -1.16808 (208*2π)/6933 weeks
209.73311 -1.32179 (209*2π)/6933 weeks
2101.54861 -1.05951 (210*2π)/6933 weeks
2112.16267 -.39716 (211*2π)/6933 weeks
2122.45108 .65525 (212*2π)/6933 weeks
2132.08564 1.67124 (213*2π)/6933 weeks
2141.27875 2.40703 (214*2π)/6933 weeks
215.13231 2.60913 (215*2π)/6933 weeks
216-.87697 2.23302 (216*2π)/6933 weeks
217-1.55438 1.50671 (217*2π)/6933 weeks
218-1.83233 .60947 (218*2π)/6933 weeks
219-1.64907 -.27921 (219*2π)/6933 weeks
220-1.11334 -.9789 (220*2π)/6933 weeks
221-.31248 -1.41976 (221*2π)/6933 weeks
222.60123 -1.22536 (222*2π)/6933 weeks
2231.2305 -.73233 (223*2π)/6933 weeks
2241.48229 .00856 (224*2π)/6933 weeks
2251.2573 .82512 (225*2π)/6933 weeks
226.83336 1.34829 (226*2π)/6933 weeks
227.13112 1.62407 (227*2π)/6933 weeks
228-.72267 1.47839 (228*2π)/6933 weeks
229-1.27117 .85853 (229*2π)/6933 weeks
230-1.39311 .05386 (230*2π)/6933 weeks
231-1.03153 -.78044 (231*2π)/6933 weeks
232-.23028 -1.2823 (232*2π)/6933 weeks
233.7552 -1.266 (233*2π)/6933 weeks
2341.58741 -.64704 (234*2π)/6933 weeks
2351.94602 .35805 (235*2π)/6933 weeks
2361.70015 1.27466 (236*2π)/6933 weeks
237.99288 2.0289 (237*2π)/6933 weeks
238.01033 2.32249 (238*2π)/6933 weeks
239-.95271 2.0409 (239*2π)/6933 weeks
240-1.49605 1.26795 (240*2π)/6933 weeks
241-1.62228 .45193 (241*2π)/6933 weeks
242-1.31988 -.21177 (242*2π)/6933 weeks
243-.85211 -.5281 (243*2π)/6933 weeks
244-.36082 -.43224 (244*2π)/6933 weeks
245-.22759 -.07374 (245*2π)/6933 weeks
246-.32423 .1165 (246*2π)/6933 weeks
247-.50037 .05304 (247*2π)/6933 weeks
248-.67217 -.18858 (248*2π)/6933 weeks
249-.55675 -.62917 (249*2π)/6933 weeks
250-.13837 -.97174 (250*2π)/6933 weeks
251.4354 -1.03877 (251*2π)/6933 weeks
2521.01887 -.7895 (252*2π)/6933 weeks
2531.37912 -.22447 (253*2π)/6933 weeks
2541.39748 .64581 (254*2π)/6933 weeks
255.81706 1.41383 (255*2π)/6933 weeks
256-.02559 1.6438 (256*2π)/6933 weeks
257-.83471 1.46702 (257*2π)/6933 weeks
258-1.47135 .9128 (258*2π)/6933 weeks
259-1.65159 .01916 (259*2π)/6933 weeks
260-1.39437 -.88458 (260*2π)/6933 weeks
261-.62418 -1.46544 (261*2π)/6933 weeks
262.32792 -1.40829 (262*2π)/6933 weeks
263.96061 -.85778 (263*2π)/6933 weeks
2641.17502 -.14306 (264*2π)/6933 weeks
265.9469 .58181 (265*2π)/6933 weeks
266.29395 .82233 (266*2π)/6933 weeks
267-.333 .64634 (267*2π)/6933 weeks
268-.56775 .16221 (268*2π)/6933 weeks
269-.41032 -.32877 (269*2π)/6933 weeks
270.06574 -.64204 (270*2π)/6933 weeks
271.6763 -.507 (271*2π)/6933 weeks
2721.03822 -.0071 (272*2π)/6933 weeks
2731.09048 .61151 (273*2π)/6933 weeks
274.74454 1.11125 (274*2π)/6933 weeks
275.0847 1.3053 (275*2π)/6933 weeks
276-.53818 1.07548 (276*2π)/6933 weeks
277-.97036 .59368 (277*2π)/6933 weeks
278-1.05355 .03974 (278*2π)/6932 weeks
279-.68112 -.3387 (279*2π)/6932 weeks
280-.26814 -.50465 (280*2π)/6932 weeks
281.15539 -.43725 (281*2π)/6932 weeks
282.41763 -.14043 (282*2π)/6932 weeks
283.31291 .1069 (283*2π)/6932 weeks
284.08752 .20315 (284*2π)/6932 weeks
285-.0582 .07257 (285*2π)/6932 weeks
286-.10504 -.14583 (286*2π)/6932 weeks
287.11465 -.31635 (287*2π)/6932 weeks
288.37867 -.33978 (288*2π)/6932 weeks
289.77551 -.1743 (289*2π)/6932 weeks
2901.00852 .24722 (290*2π)/6932 weeks
291.93489 .88834 (291*2π)/6932 weeks
292.52219 1.46564 (292*2π)/6932 weeks
293-.21446 1.71868 (293*2π)/6932 weeks
294-1.07384 1.46364 (294*2π)/6932 weeks
295-1.63369 .85121 (295*2π)/6932 weeks
296-1.73519 -.07947 (296*2π)/6932 weeks
297-1.33591 -.86389 (297*2π)/6932 weeks
298-.6924 -1.25603 (298*2π)/6932 weeks
299.02826 -1.22932 (299*2π)/6932 weeks
300.57606 -.8156 (300*2π)/6932 weeks
301.68186 -.31029 (301*2π)/6932 weeks
302.60829 .15088 (302*2π)/6932 weeks
303.34482 .40321 (303*2π)/6932 weeks
304.06019 .43403 (304*2π)/6932 weeks
305-.17563 .22841 (305*2π)/6932 weeks
306-.0861 -.02625 (306*2π)/6932 weeks
307.1025 -.10602 (307*2π)/6932 weeks
308.23762 -.05154 (308*2π)/6932 weeks
309.42135 .16536 (309*2π)/6932 weeks
310.31946 .42993 (310*2π)/6932 weeks
311.08263 .52709 (311*2π)/6932 weeks
312-.21743 .57517 (312*2π)/6932 weeks
313-.47818 .35915 (313*2π)/6932 weeks
314-.60359 .05718 (314*2π)/6932 weeks
315-.62246 -.26672 (315*2π)/6932 weeks
316-.34731 -.57822 (316*2π)/6932 weeks
317.08778 -.72833 (317*2π)/6932 weeks
318.42086 -.65161 (318*2π)/6932 weeks
319.73913 -.43892 (319*2π)/6932 weeks
320.83664 -.19447 (320*2π)/6932 weeks
321.83916 .08528 (321*2π)/6932 weeks
322.75701 .38538 (322*2π)/6932 weeks
323.63627 .51886 (323*2π)/6932 weeks
324.5259 .69079 (324*2π)/6932 weeks
325.32572 .90229 (325*2π)/6932 weeks
326.1627 1.00375 (326*2π)/6932 weeks
327-.01659 1.04822 (327*2π)/6932 weeks
328-.25477 1.02316 (328*2π)/6932 weeks
329-.50895 .95169 (329*2π)/6932 weeks
330-.7543 .67097 (330*2π)/6932 weeks
331-.85739 .34436 (331*2π)/6932 weeks
332-.889 .14922 (332*2π)/6932 weeks
333-.77791 -.09101 (333*2π)/6932 weeks
334-.50591 -.23717 (334*2π)/6932 weeks
335-.30166 -.26993 (335*2π)/6932 weeks
336-.06962 -.24076 (336*2π)/6932 weeks
337.10025 -.0639 (337*2π)/6932 weeks
338.16239 .15965 (338*2π)/6932 weeks
339.14935 .42737 (339*2π)/6932 weeks
340.01198 .5507 (340*2π)/6932 weeks
341-.12119 .60132 (341*2π)/6932 weeks
342-.28073 .62387 (342*2π)/6932 weeks
343-.46835 .6848 (343*2π)/6932 weeks
344-.71584 .679 (344*2π)/6932 weeks
345-.95455 .41066 (345*2π)/6932 weeks
346-.95703 .12863 (346*2π)/6932 weeks
347-.95703 -.12863 (347*2π)/6932 weeks
348-.95455 -.41066 (348*2π)/6932 weeks
349-.71584 -.679 (349*2π)/6932 weeks
350-.46835 -.6848 (350*2π)/6932 weeks
351-.28073 -.62387 (351*2π)/6932 weeks
352-.12119 -.60132 (352*2π)/6932 weeks
353.01198 -.5507 (353*2π)/6932 weeks
354.14935 -.42737 (354*2π)/6932 weeks
355.16239 -.15965 (355*2π)/6932 weeks
356.10025 .0639 (356*2π)/6932 weeks
357-.06962 .24076 (357*2π)/6932 weeks
358-.30166 .26993 (358*2π)/6932 weeks
359-.50591 .23717 (359*2π)/6932 weeks
360-.77791 .09101 (360*2π)/6932 weeks
361-.889 -.14922 (361*2π)/6932 weeks
362-.85739 -.34436 (362*2π)/6932 weeks
363-.7543 -.67097 (363*2π)/6932 weeks
364-.50895 -.95169 (364*2π)/6932 weeks
365-.25477 -1.02316 (365*2π)/6932 weeks
366-.01659 -1.04822 (366*2π)/6932 weeks
367.1627 -1.00375 (367*2π)/6932 weeks
368.32572 -.90229 (368*2π)/6932 weeks
369.5259 -.69079 (369*2π)/6932 weeks
370.63627 -.51886 (370*2π)/6932 weeks
371.75701 -.38538 (371*2π)/6932 weeks
372.83916 -.08528 (372*2π)/6932 weeks
373.83664 .19447 (373*2π)/6932 weeks
374.73913 .43892 (374*2π)/6932 weeks
375.42086 .65161 (375*2π)/6932 weeks
376.08778 .72833 (376*2π)/6932 weeks
377-.34731 .57822 (377*2π)/6932 weeks
378-.62246 .26672 (378*2π)/6932 weeks
379-.60359 -.05718 (379*2π)/6932 weeks
380-.47818 -.35915 (380*2π)/6932 weeks
381-.21743 -.57517 (381*2π)/6932 weeks
382.08263 -.52709 (382*2π)/6932 weeks
383.31946 -.42993 (383*2π)/6932 weeks
384.42135 -.16536 (384*2π)/6932 weeks
385.23762 .05154 (385*2π)/6932 weeks
386.1025 .10602 (386*2π)/6932 weeks
387-.0861 .02625 (387*2π)/6932 weeks
388-.17563 -.22841 (388*2π)/6932 weeks
389.06019 -.43403 (389*2π)/6932 weeks
390.34482 -.40321 (390*2π)/6932 weeks
391.60829 -.15088 (391*2π)/6932 weeks
392.68186 .31029 (392*2π)/6932 weeks
393.57606 .8156 (393*2π)/6932 weeks
394.02826 1.22932 (394*2π)/6932 weeks
395-.6924 1.25603 (395*2π)/6932 weeks
396-1.33591 .86389 (396*2π)/6932 weeks
397-1.73519 .07947 (397*2π)/6932 weeks
398-1.63369 -.85121 (398*2π)/6932 weeks
399-1.07384 -1.46364 (399*2π)/6932 weeks
400-.21446 -1.71868 (400*2π)/6932 weeks
401.52219 -1.46564 (401*2π)/6932 weeks
402.93489 -.88834 (402*2π)/6932 weeks
4031.00852 -.24722 (403*2π)/6932 weeks
404.77551 .1743 (404*2π)/6932 weeks
405.37867 .33978 (405*2π)/6932 weeks
406.11465 .31635 (406*2π)/6932 weeks
407-.10504 .14583 (407*2π)/6932 weeks
408-.0582 -.07257 (408*2π)/6932 weeks
409.08752 -.20315 (409*2π)/6932 weeks
410.31291 -.1069 (410*2π)/6932 weeks
411.41763 .14043 (411*2π)/6932 weeks
412.15539 .43725 (412*2π)/6932 weeks
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69168.56989 -81.08055 (691*2π)/6931 weeks

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