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# Fourier Analysis of UIS (Unisys Corporation New Common S)

UIS (Unisys Corporation New Common S) appears to have interesting cyclic behaviour every 195 weeks (25.0673*sine), 167 weeks (12.0678*sine), and 123 weeks (11.0715*cosine).

UIS (Unisys Corporation New Common S) has an average price of 137.96 (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 6/1/1972 to 3/13/2017 for UIS (Unisys Corporation New Common S), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
0137.9627   0
1-11.06391 60.92544 (1*2π)/23372,337 weeks
24.94007 54.51695 (2*2π)/23371,169 weeks
349.34205 22.23891 (3*2π)/2337779 weeks
4-31.7343 48.92766 (4*2π)/2337584 weeks
59.45295 -1.24575 (5*2π)/2337467 weeks
67.4912 8.50735 (6*2π)/2337390 weeks
7-9.0775 41.55868 (7*2π)/2337334 weeks
812.96329 -13.73508 (8*2π)/2337292 weeks
9-14.62482 33.39965 (9*2π)/2337260 weeks
106.73284 .42601 (10*2π)/2337234 weeks
11-.47345 -4.78029 (11*2π)/2337212 weeks
124.18794 25.06728 (12*2π)/2337195 weeks
135.91457 10.41656 (13*2π)/2337180 weeks
14-3.76169 12.06781 (14*2π)/2337167 weeks
153.87534 6.76363 (15*2π)/2337156 weeks
16-10.0982 7.72368 (16*2π)/2337146 weeks
17-1.57974 9.66498 (17*2π)/2337137 weeks
182.19512 4.56245 (18*2π)/2337130 weeks
19-11.07147 4.07848 (19*2π)/2337123 weeks
201.78621 .65611 (20*2π)/2337117 weeks
213.25804 .22984 (21*2π)/2337111 weeks
22-5.02301 5.87582 (22*2π)/2337106 weeks
233.92664 3.97705 (23*2π)/2337102 weeks
241.32232 1.5813 (24*2π)/233797 weeks
25-1.7001 7.55878 (25*2π)/233793 weeks
26-1.04363 .66196 (26*2π)/233790 weeks
27.04703 1.80092 (27*2π)/233787 weeks
28.38944 4.31186 (28*2π)/233783 weeks
29-.47432 -2.16157 (29*2π)/233781 weeks
302.34375 7.28321 (30*2π)/233778 weeks
312.00457 2.14148 (31*2π)/233775 weeks
32-1.33012 .79148 (32*2π)/233773 weeks
332.92203 5.36363 (33*2π)/233771 weeks
34-3.66826 2.30258 (34*2π)/233769 weeks
35-.80491 4.31487 (35*2π)/233767 weeks
361.51619 4.75887 (36*2π)/233765 weeks
37-1.3545 2.49251 (37*2π)/233763 weeks
38-3.79549 1.77232 (38*2π)/233762 weeks
39-.83627 .6569 (39*2π)/233760 weeks
40-1.82576 1.24148 (40*2π)/233758 weeks
411.16999 -.3686 (41*2π)/233757 weeks
422.6363 .35302 (42*2π)/233756 weeks
43.57168 3.18632 (43*2π)/233754 weeks
44-.41419 .72763 (44*2π)/233753 weeks
455.00157 3.2067 (45*2π)/233752 weeks
46-3.71483 2.20645 (46*2π)/233751 weeks
472.06581 1.06597 (47*2π)/233750 weeks
481.32819 3.79022 (48*2π)/233749 weeks
49-3.35268 .11844 (49*2π)/233748 weeks
503.20889 5.85261 (50*2π)/233747 weeks
51-1.05808 1.79496 (51*2π)/233746 weeks
52-2.59625 2.94357 (52*2π)/233745 weeks
53-.57488 3.1176 (53*2π)/233744 weeks
54-3.13255 -.50564 (54*2π)/233743 weeks
55-2.72416 .96801 (55*2π)/233742 weeks
561.50176 -.23861 (56*2π)/233742 weeks
57-1.53891 .5026 (57*2π)/233741 weeks
581.11636 -.96497 (58*2π)/233740 weeks
591.94777 -.56414 (59*2π)/233740 weeks
601.05146 2.9026 (60*2π)/233739 weeks
61.66158 2.31585 (61*2π)/233738 weeks
62.93869 .75447 (62*2π)/233738 weeks
63-2.33064 2.43672 (63*2π)/233737 weeks
641.30768 -1.30536 (64*2π)/233737 weeks
65-.85077 1.92877 (65*2π)/233736 weeks
662.03182 3.27473 (66*2π)/233735 weeks
67-.36657 -1.86602 (67*2π)/233735 weeks
68-.87711 4.16315 (68*2π)/233734 weeks
692.46976 .0533 (69*2π)/233734 weeks
70-.75037 -.00723 (70*2π)/233733 weeks
711.50088 3.47301 (71*2π)/233733 weeks
72.94019 .21819 (72*2π)/233732 weeks
73-1.6457 3.85445 (73*2π)/233732 weeks
742.02385 1.35374 (74*2π)/233732 weeks
75-2.77419 1.41018 (75*2π)/233731 weeks
761.46873 2.09357 (76*2π)/233731 weeks
77-.18247 .58313 (77*2π)/233730 weeks
78-1.13283 2.89786 (78*2π)/233730 weeks
79-.23162 .42643 (79*2π)/233730 weeks
80-1.84351 1.2779 (80*2π)/233729 weeks
81.02137 1.05393 (81*2π)/233729 weeks
82-.22704 -.26293 (82*2π)/233729 weeks
83-1.58963 2.98573 (83*2π)/233728 weeks
84.49109 -.52099 (84*2π)/233728 weeks
85-2.12292 -.8208 (85*2π)/233727 weeks
861.72188 1.49702 (86*2π)/233727 weeks
87-1.57963 -.39503 (87*2π)/233727 weeks
881.80386 .33417 (88*2π)/233727 weeks
891.30121 1.97194 (89*2π)/233726 weeks
90-2.65963 .36337 (90*2π)/233726 weeks
912.28443 1.06536 (91*2π)/233726 weeks
92-.94958 -.54064 (92*2π)/233725 weeks
93-1.40478 1.73815 (93*2π)/233725 weeks
942.37594 .06309 (94*2π)/233725 weeks
95-.3357 1.05484 (95*2π)/233725 weeks
96-.3829 1.9336 (96*2π)/233724 weeks
971.41896 .27932 (97*2π)/233724 weeks
98-.53909 1.78181 (98*2π)/233724 weeks
99.22992 .97223 (99*2π)/233724 weeks
100-.00928 1.35437 (100*2π)/233723 weeks
101-.67742 1.30864 (101*2π)/233723 weeks
102-.26664 -.33131 (102*2π)/233723 weeks
103-.37038 1.25084 (103*2π)/233723 weeks
104-.45602 -.11052 (104*2π)/233722 weeks
105.06425 .3302 (105*2π)/233722 weeks
106.14029 .38856 (106*2π)/233722 weeks
107-.44463 .72177 (107*2π)/233722 weeks
108.35193 .41309 (108*2π)/233722 weeks
109.69555 1.84801 (109*2π)/233721 weeks
110-.14626 .23507 (110*2π)/233721 weeks
111-.0873 .20341 (111*2π)/233721 weeks
112.5401 1.56034 (112*2π)/233721 weeks
113-.59046 -.26985 (113*2π)/233721 weeks
114-.71589 2.12742 (114*2π)/233721 weeks
115.67384 .65664 (115*2π)/233720 weeks
116-1.7474 -.1566 (116*2π)/233720 weeks
117.9591 1.12568 (117*2π)/233720 weeks
118.27521 -.85003 (118*2π)/233720 weeks
119-1.63361 1.47186 (119*2π)/233720 weeks
1201.98505 .20015 (120*2π)/233719 weeks
121-.26025 -1.1511 (121*2π)/233719 weeks
122-.34234 2.15913 (122*2π)/233719 weeks
1231.66369 -.23188 (123*2π)/233719 weeks
124-1.22967 1.29467 (124*2π)/233719 weeks
125.70677 1.1148 (125*2π)/233719 weeks
126.18541 -1.04203 (126*2π)/233719 weeks
127-.56705 1.32963 (127*2π)/233718 weeks
128.96794 -.57461 (128*2π)/233718 weeks
129.78139 .47776 (129*2π)/233718 weeks
130.86873 1.74165 (130*2π)/233718 weeks
131.92311 .63419 (131*2π)/233718 weeks
132-.14418 2.17332 (132*2π)/233718 weeks
133-.47459 1.55308 (133*2π)/233718 weeks
134-.09426 -.8024 (134*2π)/233717 weeks
135.03353 2.04936 (135*2π)/233717 weeks
136.52033 .50772 (136*2π)/233717 weeks
137-1.17192 .98677 (137*2π)/233717 weeks
138.23677 1.63661 (138*2π)/233717 weeks
139-1.53281 -.45274 (139*2π)/233717 weeks
140-1.0906 1.03272 (140*2π)/233717 weeks
141.03619 .02663 (141*2π)/233717 weeks
142-.13724 -1.23208 (142*2π)/233716 weeks
143.22423 1.08125 (143*2π)/233716 weeks
144.00982 -.42801 (144*2π)/233716 weeks
145-.5904 -.47058 (145*2π)/233716 weeks
1461.03234 .65565 (146*2π)/233716 weeks
147.43255 .50418 (147*2π)/233716 weeks
148.48638 .64551 (148*2π)/233716 weeks
149-.11501 -.22138 (149*2π)/233716 weeks
150.43374 .86828 (150*2π)/233716 weeks
151.44285 .81719 (151*2π)/233715 weeks
152-.09641 .40433 (152*2π)/233715 weeks
153.03908 1.36741 (153*2π)/233715 weeks
154-.39207 -.1177 (154*2π)/233715 weeks
155.1686 -.19515 (155*2π)/233715 weeks
156.22095 .85017 (156*2π)/233715 weeks
157-.11307 .00916 (157*2π)/233715 weeks
158.67379 .06033 (158*2π)/233715 weeks
159.73716 .93986 (159*2π)/233715 weeks
160-.53722 .61853 (160*2π)/233715 weeks
161.38396 -.2078 (161*2π)/233715 weeks
162.63128 .29018 (162*2π)/233714 weeks
163.34747 1.01507 (163*2π)/233714 weeks
164.38694 .04274 (164*2π)/233714 weeks
165-.50611 1.23593 (165*2π)/233714 weeks
166.86595 .39533 (166*2π)/233714 weeks
167-.19895 .38488 (167*2π)/233714 weeks
168.15036 1.27785 (168*2π)/233714 weeks
169-.23987 -.25611 (169*2π)/233714 weeks
170-.69597 .43018 (170*2π)/233714 weeks
171.47774 .97819 (171*2π)/233714 weeks
172-.54253 -.83599 (172*2π)/233714 weeks
173.31313 1.02327 (173*2π)/233714 weeks
174.3436 .42744 (174*2π)/233713 weeks
175-.87405 .15953 (175*2π)/233713 weeks
1761.08358 .13332 (176*2π)/233713 weeks
177-.40779 -.08946 (177*2π)/233713 weeks
178-.14044 .54679 (178*2π)/233713 weeks
1791.64641 .45851 (179*2π)/233713 weeks
180-.76196 -.03315 (180*2π)/233713 weeks
181.20011 1.1327 (181*2π)/233713 weeks
182.37572 -.11655 (182*2π)/233713 weeks
183-.44039 -.26414 (183*2π)/233713 weeks
1841.16869 1.09939 (184*2π)/233713 weeks
185-.12587 -.18164 (185*2π)/233713 weeks
186-.24169 .70572 (186*2π)/233713 weeks
1871.19739 .99168 (187*2π)/233712 weeks
188-1.33454 -.42522 (188*2π)/233712 weeks
189.87323 1.73571 (189*2π)/233712 weeks
190.15082 -.02269 (190*2π)/233712 weeks
191-1.35779 .48187 (191*2π)/233712 weeks
192.49614 .48303 (192*2π)/233712 weeks
193-.27546 -.82837 (193*2π)/233712 weeks
194.0561 1.16311 (194*2π)/233712 weeks
195.72188 -1.20267 (195*2π)/233712 weeks
196-.53782 .94126 (196*2π)/233712 weeks
197.99581 .21945 (197*2π)/233712 weeks
198.54291 -.18196 (198*2π)/233712 weeks
199-.05813 1.74791 (199*2π)/233712 weeks
200.61585 -.221 (200*2π)/233712 weeks
201-.69251 -.00092 (201*2π)/233712 weeks
202.47318 1.36184 (202*2π)/233712 weeks
203.04468 -.11841 (203*2π)/233712 weeks
204.00479 .66844 (204*2π)/233711 weeks
205.20543 .49442 (205*2π)/233711 weeks
206-.53698 .15813 (206*2π)/233711 weeks
207.17793 .5366 (207*2π)/233711 weeks
208.29559 .18487 (208*2π)/233711 weeks
209-.1384 .01737 (209*2π)/233711 weeks
210.26245 .42725 (210*2π)/233711 weeks
211-.01109 .2202 (211*2π)/233711 weeks
212-.36366 .36847 (212*2π)/233711 weeks
213.16573