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# Fourier Analysis of Q (Quintiles Transnational Holdings Inc)

Q (Quintiles Transnational Holdings Inc) appears to have interesting cyclic behaviour every 20 weeks (2.3183*sine), 24 weeks (2.1945*sine), and 22 weeks (1.7859*sine).

Q (Quintiles Transnational Holdings Inc) has an average price of 66.05 (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 5/9/2013 to 11/13/2017 for Q (Quintiles Transnational Holdings Inc), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
066.0462   0
1-.04484 -13.76848 (1*2π)/237237 weeks
23.58757 -10.41185 (2*2π)/237119 weeks
3-.6099 -4.98513 (3*2π)/23779 weeks
42.84087 -5.7622 (4*2π)/23759 weeks
5-.55026 -4.2898 (5*2π)/23747 weeks
6.31475 -3.07965 (6*2π)/23740 weeks
7.00079 -2.19761 (7*2π)/23734 weeks
8.32472 -1.96852 (8*2π)/23730 weeks
9-.93436 -2.58317 (9*2π)/23726 weeks
10-.004 -2.19452 (10*2π)/23724 weeks
11.53788 -1.78586 (11*2π)/23722 weeks
12.35155 -2.31834 (12*2π)/23720 weeks
13-.87724 -.85416 (13*2π)/23718 weeks
14.3379 -1.4656 (14*2π)/23717 weeks
15-.41541 -1.9593 (15*2π)/23716 weeks
16-.37153 -1.03974 (16*2π)/23715 weeks
17.22904 -1.35329 (17*2π)/23714 weeks
18-.43029 -.77347 (18*2π)/23713 weeks
19.03252 -1.20668 (19*2π)/23712 weeks
20-.27321 -1.17441 (20*2π)/23712 weeks
21.06374 -1.21176 (21*2π)/23711 weeks
22-.4645 -1.00672 (22*2π)/23711 weeks
23.02341 -.52482 (23*2π)/23710 weeks
24-.19725 -1.1639 (24*2π)/23710 weeks
25-.58863 -.99685 (25*2π)/2379 weeks
26-.70103 -.75656 (26*2π)/2379 weeks
27-.17327 -.76381 (27*2π)/2379 weeks
28-.28563 -.92685 (28*2π)/2378 weeks
29-.66416 -.68728 (29*2π)/2378 weeks
30-.77264 -.31415 (30*2π)/2378 weeks
31-.17941 -.10273 (31*2π)/2378 weeks
32-.70442 -.90677 (32*2π)/2377 weeks
33-.49892 -.62464 (33*2π)/2377 weeks
34-.13667 -.48234 (34*2π)/2377 weeks
35-.36825 -.34284 (35*2π)/2377 weeks
36-.25241 -.13213 (36*2π)/2377 weeks
37-.21285 -.48665 (37*2π)/2376 weeks
38-.54697 -.28857 (38*2π)/2376 weeks
39-.00069 -.16652 (39*2π)/2376 weeks
40.14023 -.32256 (40*2π)/2376 weeks
41-.35509 -.39544 (41*2π)/2376 weeks
42-.49122 -.45219 (42*2π)/2376 weeks
43-.29979 -.33206 (43*2π)/2376 weeks
44-.4051 -.23385 (44*2π)/2375 weeks
45-.21995 -.23768 (45*2π)/2375 weeks
46-.32325 -.64226 (46*2π)/2375 weeks
47-.23907 -.1117 (47*2π)/2375 weeks
48-.34432 -.36477 (48*2π)/2375 weeks
49-.33482 -.20498 (49*2π)/2375 weeks
50-.33493 -.40274 (50*2π)/2375 weeks
51-.4771 -.00968 (51*2π)/2375 weeks
52-.1094 -.10442 (52*2π)/2375 weeks
53-.09227 -.31268 (53*2π)/2374 weeks
54-.09574 .05791 (54*2π)/2374 weeks
55-.39712 -.26555 (55*2π)/2374 weeks
56.02 -.14193 (56*2π)/2374 weeks
57-.39841 -.38094 (57*2π)/2374 weeks
58-.04833 -.37967 (58*2π)/2374 weeks
59-.0929 -.40824 (59*2π)/2374 weeks
60-.5122 -.35773 (60*2π)/2374 weeks
61-.47302 -.08431 (61*2π)/2374 weeks
62-.12344 .02709 (62*2π)/2374 weeks
63-.30365 -.13015 (63*2π)/2374 weeks
64-.26898 -.30879 (64*2π)/2374 weeks
65-.35062 -.29833 (65*2π)/2374 weeks
66-.34656 -.07989 (66*2π)/2374 weeks
67-.07276 -.33287 (67*2π)/2374 weeks
68-.45128 -.16195 (68*2π)/2373 weeks
69-.16317 -.21183 (69*2π)/2373 weeks
70-.42553 -.25328 (70*2π)/2373 weeks
71-.14864 -.08171 (71*2π)/2373 weeks
72-.08864 -.17236 (72*2π)/2373 weeks
73-.26607 -.31135 (73*2π)/2373 weeks
74-.30225 -.12762 (74*2π)/2373 weeks
75-.12756 -.14469 (75*2π)/2373 weeks
76-.23968 -.18446 (76*2π)/2373 weeks
77-.12143 -.14828 (77*2π)/2373 weeks
78-.27734 -.33299 (78*2π)/2373 weeks
79-.24557 -.20083 (79*2π)/2373 weeks
80-.34421 -.22261 (80*2π)/2373 weeks
81-.28587 -.1476 (81*2π)/2373 weeks
82-.27866 -.00764 (82*2π)/2373 weeks
83-.28724 -.08488 (83*2π)/2373 weeks
84-.34235 .0411 (84*2π)/2373 weeks
85-.18866 -.11687 (85*2π)/2373 weeks
86-.23373 -.02559 (86*2π)/2373 weeks
87-.19207 -.32346 (87*2π)/2373 weeks
88-.33252 -.11895 (88*2π)/2373 weeks
89-.26005 -.13811 (89*2π)/2373 weeks
90-.23134 -.08509 (90*2π)/2373 weeks
91-.16402 -.0426 (91*2π)/2373 weeks
92-.19111 -.21453 (92*2π)/2373 weeks
93-.22055 -.19918 (93*2π)/2373 weeks
94-.32974 -.15876 (94*2π)/2373 weeks
95-.23125 .06936 (95*2π)/2372 weeks
96-.41697 -.14751 (96*2π)/2372 weeks
97-.36875 -.1551 (97*2π)/2372 weeks
98-.29643 -.12552 (98*2π)/2372 weeks
99-.33022 -.01917 (99*2π)/2372 weeks
100-.29643 -.16475 (100*2π)/2372 weeks
101-.34868 -.00475 (101*2π)/2372 weeks
102-.37998 .03816 (102*2π)/2372 weeks
103-.44932 .15616 (103*2π)/2372 weeks
104-.19374 -.06024 (104*2π)/2372 weeks
105-.23674 -.01798 (105*2π)/2372 weeks
106-.19044 -.17713 (106*2π)/2372 weeks
107-.29739 .07887 (107*2π)/2372 weeks
108-.26857 .07205 (108*2π)/2372 weeks
109-.24774 -.01068 (109*2π)/2372 weeks
110-.19378 -.1564 (110*2π)/2372 weeks
111-.28825 -.0878 (111*2π)/2372 weeks
112-.30346 -.08341 (112*2π)/2372 weeks
113-.28248 -.0726 (113*2π)/2372 weeks
114-.19971 -.11019 (114*2π)/2372 weeks
115-.2532 .01184 (115*2π)/2372 weeks
116-.35172 -.03654 (116*2π)/2372 weeks
117-.32931 .06483 (117*2π)/2372 weeks
118-.19856 -.11551 (118*2π)/2372 weeks
119-.19856 .11551 (119*2π)/2372 weeks
120-.32931 -.06483 (120*2π)/2372 weeks
121-.35172 .03654 (121*2π)/2372 weeks
122-.2532 -.01184 (122*2π)/2372 weeks
123-.19971 .11019 (123*2π)/2372 weeks
124-.28248 .0726 (124*2π)/2372 weeks
125-.30346 .08341 (125*2π)/2372 weeks
126-.28825 .0878 (126*2π)/2372 weeks
127-.19378 .1564 (127*2π)/2372 weeks
128-.24774 .01068 (128*2π)/2372 weeks
129-.26857 -.07205 (129*2π)/2372 weeks
130-.29739 -.07887 (130*2π)/2372 weeks
131-.19044 .17713 (131*2π)/2372 weeks
132-.23674 .01798 (132*2π)/2372 weeks
133-.19374 .06024 (133*2π)/2372 weeks
134-.44932 -.15616 (134*2π)/2372 weeks
135-.37998 -.03816 (135*2π)/2372 weeks
136-.34868 .00475 (136*2π)/2372 weeks
137-.29643 .16475 (137*2π)/2372 weeks
138-.33022 .01917 (138*2π)/2372 weeks
139-.29643 .12552 (139*2π)/2372 weeks
140-.36875 .1551 (140*2π)/2372 weeks
141-.41697 .14751 (141*2π)/2372 weeks
142-.23125 -.06936 (142*2π)/2372 weeks
143-.32974 .15876 (143*2π)/2372 weeks
144-.22055 .19918 (144*2π)/2372 weeks
145-.19111 .21453 (145*2π)/2372 weeks
146-.16402 .0426 (146*2π)/2372 weeks
147-.23134 .08509 (147*2π)/2372 weeks
148-.26005 .13811 (148*2π)/2372 weeks
149-.33252 .11895 (149*2π)/2372 weeks
150-.19207 .32346 (150*2π)/2372 weeks
151-.23373 .02559 (151*2π)/2372 weeks
152-.18866 .11687 (152*2π)/2372 weeks
153-.34235 -.0411 (153*2π)/2372 weeks
154-.28724 .08488 (154*2π)/2372 weeks
155-.27866 .00764 (155*2π)/2372 weeks
156-.28587 .1476 (156*2π)/2372 weeks
157-.34421 .22261 (157*2π)/2372 weeks
158-.24557 .20083 (158*2π)/2372 weeks
159-.27734 .33299 (159*2π)/2371 weeks
160-.12143 .14828 (160*2π)/2371 weeks
161-.23968 .18446 (161*2π)/2371 weeks
162-.12756 .14469 (162*2π)/2371 weeks
163-.30225 .12762 (163*2π)/2371 weeks
164-.26607 .31135 (164*2π)/2371 weeks
165-.08864 .17236 (165*2π)/2371 weeks
166-.14864 .08171 (166*2π)/2371 weeks
167-.42553 .25328 (167*2π)/2371 weeks
168-.16317 .21183 (168*2π)/2371 weeks
169-.45128 .16195 (169*2π)/2371 weeks
170-.07276 .33287 (170*2π)/2371 weeks
171-.34656 .07989 (171*2π)/2371 weeks
172-.35062 .29833 (172*2π)/2371 weeks
173-.26898 .30879 (173*2π)/2371 weeks
174-.30365 .13015 (174*2π)/2371 weeks
175-.12344 -.02709 (175*2π)/2371 weeks
176-.47302 .08431 (176*2π)/2371 weeks
177-.5122 .35773 (177*2π)/2371 weeks
178-.0929 .40824 (178*2π)/2371 weeks
179-.04833 .37967 (179*2π)/2371 weeks
180-.39841 .38094 (180*2π)/2371 weeks
181.02 .14193 (181*2π)/2371 weeks
182-.39712 .26555 (182*2π)/2371 weeks
183-.09574 -.05791 (183*2π)/2371 weeks
184-.09227 .31268 (184*2π)/2371 weeks
185-.1094 .10442 (185*2π)/2371 weeks
186-.4771 .00968 (186*2π)/2371 weeks
187-.33493 .40274 (187*2π)/2371 weeks
188-.33482 .20498 (188*2π)/2371 weeks
189-.34432 .36477 (189*2π)/2371 weeks
190-.23907 .1117 (190*2π)/2371 weeks
191-.32325 .64226 (191*2π)/2371 weeks
192-.21995 .23768 (192*2π)/2371 weeks
193-.4051 .23385 (193*2π)/2371 weeks
194-.29979 .33206 (194*2π)/2371 weeks
195-.49122 .45219 (195*2π)/2371 weeks
196-.35509 .39544 (196*2π)/2371 weeks
197.14023 .32256 (197*2π)/2371 weeks
198-.00069 .16652 (198*2π)/2371 weeks
199-.54697 .28857 (199*2π)/2371 weeks
200-.21285 .48665 (200*2π)/2371 weeks
201-.25241 .13213 (201*2π)/2371 weeks
202-.36825 .34284 (202*2π)/2371 weeks
203-.13667 .48234 (203*2π)/2371 weeks
204-.49892 .62464 (204*2π)/2371 weeks
205-.70442 .90677 (205*2π)/2371 weeks
206-.17941 .10273 (206*2π)/2371 weeks
207-.77264 .31415 (207*2π)/2371 weeks
208-.66416 .68728 (208*2π)/2371 weeks
209-.28563 .92685 (209*2π)/2371 weeks
210-.17327 .76381 (210*2π)/2371 weeks
211-.70103 .75656 (211*2π)/2371 weeks
212-.58863 .99685 (212*2π)/2371 weeks
213-.19725 1.1639 (213*2π)/2371 weeks
214.02341 .52482 (214*2π)/2371 weeks
215-.4645 1.00672 (215*2π)/2371 weeks
216.06374 1.21176 (216*2π)/2371 weeks
217-.27321 1.17441 (217*2π)/2371 weeks
218.03252 1.20668 (218*2π)/2371 weeks
219-.43029 .77347 (219*2π)/2371 weeks
220.22904 1.35329 (220*2π)/2371 weeks
221-.37153 1.03974 (221*2π)/2371 weeks
222-.41541 1.9593 (222*2π)/2371 weeks
223.3379 1.4656 (223*2π)/2371 weeks
224-.87724 .85416 (224*2π)/2371 weeks
225.35155 2.31834 (225*2π)/2371 weeks
226.53788 1.78586 (226*2π)/2371 weeks
227-.004 2.19452 (227*2π)/2371 weeks
228-.93436 2.58317 (228*2π)/2371 weeks
229.32472 1.96852 (229*2π)/2371 weeks
230.00079 2.19761 (230*2π)/2371 weeks
231.31475 3.07965 (231*2π)/2371 weeks
232-.55026 4.2898 (232*2π)/2371 weeks
2332.84087 5.7622 (233*2π)/2371 weeks
234-.6099 4.98513 (234*2π)/2371 weeks
2353.58757 10.41185 (235*2π)/2371 weeks