Back to list of Stocks    See Also: Seasonal Analysis of TQQQGenetic Algorithms Stock Portfolio Generator, and Best Months to Buy/Sell Stocks

# Fourier Analysis of TQQQ (ProShares UltraPro QQQ)

TQQQ (ProShares UltraPro QQQ) appears to have interesting cyclic behaviour every 43 weeks (2.0253*sine), 39 weeks (1.6755*sine), and 36 weeks (.7223*cosine).

TQQQ (ProShares UltraPro QQQ) has an average price of 14.58 (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 2/11/2010 to 5/21/2018 for TQQQ (ProShares UltraPro QQQ), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
014.58036   0
16.09424 -11.48954 (1*2π)/433433 weeks
24.26978 -6.02077 (2*2π)/433217 weeks
31.90832 -7.08864 (3*2π)/433144 weeks
4-.02007 -4.80005 (4*2π)/433108 weeks
5.08563 -3.36727 (5*2π)/43387 weeks
6.13798 -3.42909 (6*2π)/43372 weeks
7.05922 -2.68803 (7*2π)/43362 weeks
8-.08867 -2.26893 (8*2π)/43354 weeks
9-.04285 -1.9705 (9*2π)/43348 weeks
10-.38 -2.02526 (10*2π)/43343 weeks
11-.5349 -1.67552 (11*2π)/43339 weeks
12-.72229 -1.22031 (12*2π)/43336 weeks
13-.17049 -.7379 (13*2π)/43333 weeks
14-.29461 -1.00439 (14*2π)/43331 weeks
15-.26929 -.91747 (15*2π)/43329 weeks
16-.12571 -.70267 (16*2π)/43327 weeks
17-.05732 -.75712 (17*2π)/43325 weeks
18-.39798 -.71861 (18*2π)/43324 weeks
19.16117 -.45413 (19*2π)/43323 weeks
20.19727 -.85063 (20*2π)/43322 weeks
21-.32465 -.74508 (21*2π)/43321 weeks
22-.26174 -.46867 (22*2π)/43320 weeks
23.25394 -.37404 (23*2π)/43319 weeks
24.09114 -.77435 (24*2π)/43318 weeks
25-.11986 -.45325 (25*2π)/43317 weeks
26.21692 -.44066 (26*2π)/43317 weeks
27.08078 -.72639 (27*2π)/43316 weeks
28-.05913 -.63481 (28*2π)/43315 weeks
29.04296 -.50359 (29*2π)/43315 weeks
30-.02231 -.53542 (30*2π)/43314 weeks
31.08908 -.54138 (31*2π)/43314 weeks
32-.05154 -.59079 (32*2π)/43314 weeks
33.1099 -.61499 (33*2π)/43313 weeks
34-.09654 -.71621 (34*2π)/43313 weeks
35-.00244 -.47878 (35*2π)/43312 weeks
36-.14247 -.61682 (36*2π)/43312 weeks
37-.26235 -.31119 (37*2π)/43312 weeks
38.07301 -.46893 (38*2π)/43311 weeks
39-.10922 -.44649 (39*2π)/43311 weeks
40.02429 -.33868 (40*2π)/43311 weeks
41.17406 -.49905 (41*2π)/43311 weeks
42-.03285 -.56862 (42*2π)/43310 weeks
43-.10083 -.51197 (43*2π)/43310 weeks
44-.14503 -.40659 (44*2π)/43310 weeks
45-.01437 -.4952 (45*2π)/43310 weeks
46-.03035 -.47607 (46*2π)/4339 weeks
47-.04691 -.56098 (47*2π)/4339 weeks
48-.14118 -.48073 (48*2π)/4339 weeks
49-.06513 -.46422 (49*2π)/4339 weeks
50-.16884 -.56406 (50*2π)/4339 weeks
51-.17943 -.56079 (51*2π)/4338 weeks
52-.38809 -.54278 (52*2π)/4338 weeks
53-.31528 -.34905 (53*2π)/4338 weeks
54-.3164 -.29413 (54*2π)/4338 weeks
55-.32146 -.27414 (55*2π)/4338 weeks
56-.28185 -.29116 (56*2π)/4338 weeks
57-.35017 -.18892 (57*2π)/4338 weeks
58-.15561 -.12331 (58*2π)/4337 weeks
59-.20446 -.2444 (59*2π)/4337 weeks
60-.26911 -.10272 (60*2π)/4337 weeks
61-.19868 -.13013 (61*2π)/4337 weeks
62-.21448 -.17217 (62*2π)/4337 weeks
63-.18481 -.1164 (63*2π)/4337 weeks
64-.12852 -.05814 (64*2π)/4337 weeks
65-.1124 -.04863 (65*2π)/4337 weeks
66-.02818 -.03844 (66*2π)/4337 weeks
67.06 -.13987 (67*2π)/4336 weeks
68.03214 -.20094 (68*2π)/4336 weeks
69-.00958 -.17998 (69*2π)/4336 weeks
70.09839 -.20173 (70*2π)/4336 weeks
71.02737 -.3589 (71*2π)/4336 weeks
72-.08171 -.29489 (72*2π)/4336 weeks
73-.05672 -.26127 (73*2π)/4336 weeks
74-.02692 -.25894 (74*2π)/4336 weeks
75-.06799 -.26941 (75*2π)/4336 weeks
76-.08291 -.28711 (76*2π)/4336 weeks
77-.08481 -.30413 (77*2π)/4336 weeks
78-.11216 -.2857 (78*2π)/4336 weeks
79-.0647 -.32844 (79*2π)/4335 weeks
80-.20668 -.36708 (80*2π)/4335 weeks
81-.22261 -.26068 (81*2π)/4335 weeks
82-.23152 -.2419 (82*2π)/4335 weeks
83-.15562 -.19058 (83*2π)/4335 weeks
84-.26849 -.20348 (84*2π)/4335 weeks
85-.18678 -.10837 (85*2π)/4335 weeks
86-.14353 -.18679 (86*2π)/4335 weeks
87-.22212 -.14991 (87*2π)/4335 weeks
88-.14773 -.10498 (88*2π)/4335 weeks
89-.11268 -.15423 (89*2π)/4335 weeks
90-.12577 -.14554 (90*2π)/4335 weeks
91-.14534 -.1089 (91*2π)/4335 weeks
92-.05354 -.12086 (92*2π)/4335 weeks
93-.095 -.22643 (93*2π)/4335 weeks
94-.21042 -.20679 (94*2π)/4335 weeks
95-.14732 -.09972 (95*2π)/4335 weeks
96-.12818 -.1389 (96*2π)/4335 weeks
97-.13315 -.16735 (97*2π)/4334 weeks
98-.18066 -.07573 (98*2π)/4334 weeks
99-.03936 -.13264 (99*2π)/4334 weeks
100-.16817 -.24727 (100*2π)/4334 weeks
101-.18716 -.10135 (101*2π)/4334 weeks
102-.16064 -.14879 (102*2π)/4334 weeks
103-.17122 -.09134 (103*2π)/4334 weeks
104-.15947 -.14396 (104*2π)/4334 weeks
105-.24147 -.08444 (105*2π)/4334 weeks
106-.1428 .00737 (106*2π)/4334 weeks
107-.14034 -.13493 (107*2π)/4334 weeks
108-.17612 -.03948 (108*2π)/4334 weeks
109-.05835 -.05863 (109*2π)/4334 weeks
110-.10867 -.13932 (110*2π)/4334 weeks
111-.23487 -.05255 (111*2π)/4334 weeks
112-.15715 .03794 (112*2π)/4334 weeks
113-.02005 .01412 (113*2π)/4334 weeks
114-.03154 -.10486 (114*2π)/4334 weeks
115-.07196 -.05193 (115*2π)/4334 weeks
116.00228 -.09916 (116*2π)/4334 weeks
117-.09645 -.14876 (117*2π)/4334 weeks
118-.08246 -.09523 (118*2π)/4334 weeks
119-.05912 -.12129 (119*2π)/4334 weeks
120-.08031 -.07773 (120*2π)/4334 weeks
121-.08665 -.0956 (121*2π)/4334 weeks
122-.083 -.08922 (122*2π)/4334 weeks
123-.03161 -.0767 (123*2π)/4334 weeks
124-.00097 -.16868 (124*2π)/4333 weeks
125-.04089 -.18062 (125*2π)/4333 weeks
126-.097 -.16742 (126*2π)/4333 weeks
127-.10323 -.18174 (127*2π)/4333 weeks
128-.17805 -.18353 (128*2π)/4333 weeks
129-.14801 -.09497 (129*2π)/4333 weeks
130-.15029 -.14078 (130*2π)/4333 weeks
131-.12778 -.15159 (131*2π)/4333 weeks
132-.17624 -.15636 (132*2π)/4333 weeks
133-.18616 -.12714 (133*2π)/4333 weeks
134-.20558 -.12415 (134*2π)/4333 weeks
135-.2101 -.07573 (135*2π)/4333 weeks
136-.22834 -.07277 (136*2π)/4333 weeks
137-.23316 -.01708 (137*2π)/4333 weeks
138-.20035 .01924 (138*2π)/4333 weeks
139-.18916 .03186 (139*2π)/4333 weeks
140-.14919 .12444 (140*2π)/4333 weeks
141-.04844 .08584 (141*2π)/4333 weeks
142-.00669 .02724 (142*2π)/4333 weeks
143-.03166 -.02608 (143*2π)/4333 weeks
144-.011 .00275 (144*2π)/4333 weeks
145-.00751 -.08278 (145*2π)/4333 weeks
146-.05451 -.06938 (146*2π)/4333 weeks
147-.02986 -.01137 (147*2π)/4333 weeks
148.01483 -.08837 (148*2π)/4333 weeks
149-.03054 -.09679 (149*2π)/4333 weeks
150.01552 -.11003 (150*2π)/4333 weeks
151-.02117 -.17006 (151*2π)/4333 weeks
152-.07801 -.14958 (152*2π)/4333 weeks
153-.06977 -.17846 (153*2π)/4333 weeks
154-.14676 -.19956 (154*2π)/4333 weeks
155-.13062 -.12967 (155*2π)/4333 weeks
156-.10532 -.11964 (156*2π)/4333 weeks
157-.12602 -.17052 (157*2π)/4333 weeks
158-.1752 -.12136 (158*2π)/4333 weeks
159-.17211 -.15065 (159*2π)/4333 weeks
160-.17545 -.10309 (160*2π)/4333 weeks
161-.12885 -.09707 (161*2π)/4333 weeks
162-.19838 -.13351 (162*2π)/4333 weeks
163-.19383 -.03506 (163*2π)/4333 weeks
164-.17836 -.05779 (164*2π)/4333 weeks
165-.16211 -.02602 (165*2π)/4333 weeks
166-.09242 -.05638 (166*2π)/4333 weeks
167-.18288 -.08139 (167*2π)/4333 weeks
168-.13475 -.01165 (168*2π)/4333 weeks
169-.16044 -.10704 (169*2π)/4333 weeks
170-.19552 -.03117 (170*2π)/4333 weeks
171-.13591 -.02215 (171*2π)/4333 weeks
172-.16922 -.04717 (172*2π)/4333 weeks
173-.15749 .01561 (173*2π)/4333 weeks
174-.11425 -.01151 (174*2π)/4332 weeks
175-.14782 -.0128 (175*2π)/4332 weeks
176-.1328 .00041 (176*2π)/4332 weeks
177-.12362 -.02774 (177*2π)/4332 weeks
178-.11146 -.04103 (178*2π)/4332 weeks
179-.12893 -.01766 (179*2π)/4332 weeks
180-.12838 -.01178 (180*2π)/4332 weeks
181-.09395 -.03988 (181*2π)/4332 weeks
182-.16293 -.07307 (182*2π)/4332 weeks
183-.17749 .009 (183*2π)/4332 weeks
184-.1049 .01515 (184*2π)/4332 weeks
185-.10756 -.01379 (185*2π)/4332 weeks
186-.11135 .00295 (186*2π)/4332 weeks
187-.07094 -.02274 (187*2π)/4332 weeks
188-.11481 -.08852 (188*2π)/4332 weeks
189-.12501 .00529 (189*2π)/4332 weeks
190-.07654 -.00779 (190*2π)/4332 weeks
191-.10043 -.06322 (191*2π)/4332 weeks
192-.11101 -.04578 (192*2π)/4332 weeks
193-.09551 -.05767 (193*2π)/4332 weeks
194-.14328 -.06434 (194*2π)/4332 weeks
195-.12076 .01145 (195*2π)/4332 weeks
196-.10181 -.05469 (196*2π)/4332 weeks
197-.1219 -.03022 (197*2π)/4332 weeks
198-.1191 -.04897 (198*2π)/4332 weeks
199-.12214 -.03342 (199*2π)/4332 weeks
200-.10578 -.06491 (200*2π)/4332 weeks
201-.14493 -.03808 (201*2π)/4332 weeks
202-.13624 -.03318 (202*2π)/4332 weeks
203-.10798 -.04569 (203*2π)/4332 weeks
204-.12366 -.06837 (204*2π)/4332 weeks
205-.1469 -.0443 (205*2π)/4332 weeks
206-.17691 -.04221 (206*2π)/4332 weeks
207-.12357 .00666 (207*2π)/4332 weeks
208-.12291 -.05095 (208*2π)/4332 weeks
209-.18469 -.03234 (209*2π)/4332 weeks
210-.09973 .01019 (210*2π)/4332 weeks
211-.13525 -.08234 (211*2π)/4332 weeks
212-.21083 -.00823 (212*2π)/4332 weeks
213-.11965 .01421 (213*2π)/4332 weeks
214-.12998 -.11357 (214*2π)/4332 weeks
215-.23401 -.03452 (215*2π)/4332 weeks
216-.21266 .00725 (216*2π)/4332 weeks
217-.21266 -.00725 (217*2π)/4332 weeks
218-.23401 .03452 (218*2π)/4332 weeks
219-.12998 .11357 (219*2π)/4332 weeks
220-.11965 -.01421 (220*2π)/4332 weeks
221-.21083 .00823 (221*2π)/4332 weeks
222-.13525 .08234 (222*2π)/4332 weeks
223-.09973 -.01019 (223*2π)/4332 weeks
224-.18469 .03234 (224*2π)/4332 weeks
225-.12291 .05095 (225*2π)/4332 weeks
226-.12357 -.00666 (226*2π)/4332 weeks
227-.17691 .04221 (227*2π)/4332 weeks
228-.1469 .0443 (228*2π)/4332 weeks
229-.12366 .06837 (229*2π)/4332 weeks
230-.10798 .04569 (230*2π)/4332 weeks
231-.13624 .03318 (231*2π)/4332 weeks
232-.14493 .03808 (232*2π)/4332 weeks
233-.10578 .06491 (233*2π)/4332 weeks
234-.12214 .03342 (234*2π)/4332 weeks
235-.1191 .04897 (235*2π)/4332 weeks
236-.1219 .03022 (236*2π)/4332 weeks
237-.10181 .05469 (237*2π)/4332 weeks
238-.12076 -.01145 (238*2π)/4332 weeks
239-.14328 .06434 (239*2π)/4332 weeks
240-.09551 .05767 (240*2π)/4332 weeks
241-.11101 .04578 (241*2π)/4332 weeks
242-.10043 .06322 (242*2π)/4332 weeks
243-.07654 .00779 (243*2π)/4332 weeks
244-.12501 -.00529 (244*2π)/4332 weeks
245-.11481 .08852 (245*2π)/4332 weeks
246-.07094 .02274 (246*2π)/4332 weeks
247-.11135 -.00295 (247*2π)/4332 weeks
248-.10756 .01379 (248*2π)/4332 weeks
249-.1049 -.01515 (249*2π)/4332 weeks
250-.17749 -.009 (250*2π)/4332 weeks
251-.16293 .07307 (251*2π)/4332 weeks
252-.09395 .03988 (252*2π)/4332 weeks
253-.12838 .01178 (253*2π)/4332 weeks
254-.12893 .01766 (254*2π)/4332 weeks
255-.11146 .04103 (255*2π)/4332 weeks
256-.12362 .02774 (256*2π)/4332 weeks
257-.1328 -.00041 (257*2π)/4332 weeks
258-.14782 .0128 (258*2π)/4332 weeks
259-.11425 .01151 (259*2π)/4332 weeks
260-.15749 -.01561 (260*2π)/4332 weeks
261-.16922 .04717 (261*2π)/4332 weeks
262-.13591 .02215 (262*2π)/4332 weeks
263-.19552 .03117 (263*2π)/4332 weeks
264-.16044 .10704 (264*2π)/4332 weeks
265-.13475 .01165 (265*2π)/4332 weeks
266-.18288 .08139 (266*2π)/4332 weeks
267-.09242 .05638 (267*2π)/4332 weeks
268-.16211 .02602 (268*2π)/4332 weeks
269-.17836 .05779 (269*2π)/4332 weeks
270-.19383 .03506 (270*2π)/4332 weeks
271-.19838 .13351 (271*2π)/4332 weeks
272-.12885 .09707 (272*2π)/4332 weeks
273-.17545 .10309 (273*2π)/4332 weeks
274-.17211 .15065 (274*2π)/4332 weeks
275-.1752 .12136 (275*2π)/4332 weeks
276-.12602 .17052 (276*2π)/4332 weeks
277-.10532 .11964 (277*2π)/4332 weeks
278-.13062 .12967 (278*2π)/4332 weeks
279-.14676 .19956 (279*2π)/4332 weeks
280-.06977 .17846 (280*2π)/4332 weeks
281-.07801 .14958 (281*2π)/4332 weeks
282-.02117 .17006 (282*2π)/4332 weeks
283.01552 .11003 (283*2π)/4332 weeks
284-.03054 .09679 (284*2π)/4332 weeks
285.01483 .08837 (285*2π)/4332 weeks
286-.02986 .01137 (286*2π)/4332 weeks
287-.05451 .06938 (287*2π)/4332 weeks
288-.00751 .08278 (288*2π)/4332 weeks
289-.011 -.00275 (289*2π)/4331 weeks
290-.03166 .02608 (290*2π)/4331 weeks
291-.00669 -.02724 (291*2π)/4331 weeks
292-.04844 -.08584 (292*2π)/4331 weeks
293-.14919 -.12444 (293*2π)/4331 weeks
294-.18916 -.03186 (294*2π)/4331 weeks
295-.20035 -.01924 (295*2π)/4331 weeks
296-.23316 .01708 (296*2π)/4331 weeks
297-.22834 .07277 (297*2π)/4331 weeks
298-.2101 .07573 (298*2π)/4331 weeks
299-.20558 .12415 (299*2π)/4331 weeks
300-.18616 .12714 (300*2π)/4331 weeks
301-.17624 .15636 (301*2π)/4331 weeks
302-.12778 .15159 (302*2π)/4331 weeks
303-.15029 .14078 (303*2π)/4331 weeks
304-.14801 .09497 (304*2π)/4331 weeks
305-.17805 .18353 (305*2π)/4331 weeks
306-.10323 .18174 (306*2π)/4331 weeks
307-.097 .16742 (307*2π)/4331 weeks
308-.04089 .18062 (308*2π)/4331 weeks
309-.00097 .16868 (309*2π)/4331 weeks
310-.03161 .0767 (310*2π)/4331 weeks
311-.083 .08922 (311*2π)/4331 weeks
312-.08665 .0956 (312*2π)/4331 weeks
313-.08031 .07773 (313*2π)/4331 weeks
314-.05912 .12129 (314*2π)/4331 weeks
315-.08246 .09523 (315*2π)/4331 weeks
316-.09645 .14876 (316*2π)/4331 weeks
317.00228 .09916 (317*2π)/4331 weeks
318-.07196 .05193 (318*2π)/4331 weeks
319-.03154 .10486 (319*2π)/4331 weeks
320-.02005 -.01412 (320*2π)/4331 weeks
321-.15715 -.03794 (321*2π)/4331 weeks
322-.23487 .05255 (322*2π)/4331 weeks
323-.10867 .13932 (323*2π)/4331 weeks
324-.05835 .05863 (324*2π)/4331 weeks
325-.17612 .03948 (325*2π)/4331 weeks
326-.14034 .13493 (326*2π)/4331 weeks
327-.1428 -.00737 (327*2π)/4331 weeks
328-.24147 .08444 (328*2π)/4331 weeks
329-.15947 .14396 (329*2π)/4331 weeks
330-.17122 .09134 (330*2π)/4331 weeks
331-.16064 .14879 (331*2π)/4331 weeks
332-.18716 .10135 (332*2π)/4331 weeks
333-.16817 .24727 (333*2π)/4331 weeks
334-.03936 .13264 (334*2π)/4331 weeks
335-.18066 .07573 (335*2π)/4331 weeks
336-.13315 .16735 (336*2π)/4331 weeks
337-.12818 .1389 (337*2π)/4331 weeks
338-.14732 .09972 (338*2π)/4331 weeks
339-.21042 .20679 (339*2π)/4331 weeks
340-.095 .22643 (340*2π)/4331 weeks
341-.05354 .12086 (341*2π)/4331 weeks
342-.14534 .1089 (342*2π)/4331 weeks
343-.12577 .14554 (343*2π)/4331 weeks
344-.11268 .15423 (344*2π)/4331 weeks
345-.14773 .10498 (345*2π)/4331 weeks
346-.22212 .14991 (346*2π)/4331 weeks
347-.14353 .18679 (347*2π)/4331 weeks
348-.18678 .10837 (348*2π)/4331 weeks
349-.26849 .20348 (349*2π)/4331 weeks
350-.15562 .19058 (350*2π)/4331 weeks
351-.23152 .2419 (351*2π)/4331 weeks
352-.22261 .26068 (352*2π)/4331 weeks
353-.20668 .36708 (353*2π)/4331 weeks
354-.0647 .32844 (354*2π)/4331 weeks
355-.11216 .2857 (355*2π)/4331 weeks
356-.08481 .30413 (356*2π)/4331 weeks
357-.08291 .28711 (357*2π)/4331 weeks
358-.06799 .26941 (358*2π)/4331 weeks
359-.02692 .25894 (359*2π)/4331 weeks
360-.05672 .26127 (360*2π)/4331 weeks
361-.08171 .29489 (361*2π)/4331 weeks
362.02737 .3589 (362*2π)/4331 weeks
363.09839 .20173 (363*2π)/4331 weeks
364-.00958 .17998 (364*2π)/4331 weeks
365.03214 .20094 (365*2π)/4331 weeks
366.06 .13987 (366*2π)/4331 weeks
367-.02818 .03844 (367*2π)/4331 weeks
368-.1124 .04863 (368*2π)/4331 weeks
369-.12852 .05814 (369*2π)/4331 weeks
370-.18481 .1164 (370*2π)/4331 weeks
371-.21448 .17217 (371*2π)/4331 weeks
372-.19868 .13013 (372*2π)/4331 weeks
373-.26911 .10272 (373*2π)/4331 weeks
374-.20446 .2444 (374*2π)/4331 weeks
375-.15561 .12331 (375*2π)/4331 weeks
376-.35017 .18892 (376*2π)/4331 weeks
377-.28185 .29116 (377*2π)/4331 weeks
378-.32146 .27414 (378*2π)/4331 weeks
379-.3164 .29413 (379*2π)/4331 weeks
380-.31528 .34905 (380*2π)/4331 weeks
381-.38809 .54278 (381*2π)/4331 weeks
382-.17943 .56079 (382*2π)/4331 weeks
383-.16884 .56406 (383*2π)/4331 weeks
384-.06513 .46422 (384*2π)/4331 weeks
385-.14118 .48073 (385*2π)/4331 weeks
386-.04691 .56098 (386*2π)/4331 weeks
387-.03035 .47607 (387*2π)/4331 weeks
388-.01437 .4952 (388*2π)/4331 weeks
389-.14503 .40659 (389*2π)/4331 weeks
390-.10083 .51197 (390*2π)/4331 weeks
391-.03285 .56862 (391*2π)/4331 weeks
392.17406 .49905 (392*2π)/4331 weeks
393.02429 .33868 (393*2π)/4331 weeks
394-.10922 .44649 (394*2π)/4331 weeks
395.07301 .46893 (395*2π)/4331 weeks
396-.26235 .31119 (396*2π)/4331 weeks
397-.14247 .61682 (397*2π)/4331 weeks
398-.00244 .47878 (398*2π)/4331 weeks
399-.09654 .71621 (399*2π)/4331 weeks
400.1099 .61499 (400*2π)/4331 weeks
401-.05154 .59079 (401*2π)/4331 weeks
402.08908 .54138 (402*2π)/4331 weeks
403-.02231 .53542 (403*2π)/4331 weeks
404.04296 .50359 (404*2π)/4331 weeks
405-.05913 .63481 (405*2π)/4331 weeks
406.08078 .72639 (406*2π)/4331 weeks
407.21692 .44066 (407*2π)/4331 weeks
408-.11986 .45325 (408*2π)/4331 weeks
409.09114 .77435 (409*2π)/4331 weeks
410.25394 .37404 (410*2π)/4331 weeks
411-.26174 .46867 (411*2π)/4331 weeks
412-.32465 .74508 (412*2π)/4331 weeks
413.19727 .85063 (413*2π)/4331 weeks
414.16117 .45413 (414*2π)/4331 weeks
415-.39798 .71861 (415*2π)/4331 weeks
416-.05732 .75712 (416*2π)/4331 weeks
417-.12571 .70267 (417*2π)/4331 weeks
418-.26929 .91747 (418*2π)/4331 weeks
419-.29461 1.00439 (419*2π)/4331 weeks
420-.17049 .7379 (420*2π)/4331 weeks
421-.72229 1.22031 (421*2π)/4331 weeks
422-.5349 1.67552 (422*2π)/4331 weeks
423-.38 2.02526 (423*2π)/4331 weeks
424-.04285 1.9705 (424*2π)/4331 weeks
425-.08867 2.26893 (425*2π)/4331 weeks
426.05922 2.68803 (426*2π)/4331 weeks
427.13798 3.42909 (427*2π)/4331 weeks
428.08563 3.36727 (428*2π)/4331 weeks
429-.02007 4.80005 (429*2π)/4331 weeks
4301.90832 7.08864 (430*2π)/4331 weeks
4314.26978 6.02077 (431*2π)/4331 weeks