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Fourier Analysis of JEC (Jacobs Engineering Group Inc. C)


JEC (Jacobs Engineering Group Inc. C) appears to have interesting cyclic behaviour every 148 weeks (3.0366*sine), 160 weeks (2.9473*cosine), and 148 weeks (1.8655*cosine).

JEC (Jacobs Engineering Group Inc. C) has an average price of 19.69 (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 3/17/1980 to 1/9/2017 for JEC (Jacobs Engineering Group Inc. C), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
019.68639   0 
18.11168 -23.29671 (1*2π)/19211,921 weeks
2-4.93153 -9.83835 (2*2π)/1921961 weeks
3.75428 -1.34318 (3*2π)/1921640 weeks
42.97862 -3.88832 (4*2π)/1921480 weeks
5-.50769 -6.76993 (5*2π)/1921384 weeks
6-3.69195 -2.64995 (6*2π)/1921320 weeks
7-.95741 1.72817 (7*2π)/1921274 weeks
82.10608 -.95536 (8*2π)/1921240 weeks
9.53135 -2.5179 (9*2π)/1921213 weeks
10-.88273 -.8152 (10*2π)/1921192 weeks
11.34228 .75214 (11*2π)/1921175 weeks
122.94726 -.46242 (12*2π)/1921160 weeks
131.86547 -3.0366 (13*2π)/1921148 weeks
14-.42309 -2.84623 (14*2π)/1921137 weeks
15-1.16985 -.98721 (15*2π)/1921128 weeks
16.94193 -.12631 (16*2π)/1921120 weeks
17.88431 -2.34603 (17*2π)/1921113 weeks
18-1.35871 -1.86337 (18*2π)/1921107 weeks
19-.64534 .20146 (19*2π)/1921101 weeks
20.80956 -.03945 (20*2π)/192196 weeks
21.95114 -1.48869 (21*2π)/192191 weeks
22-.39952 -1.54663 (22*2π)/192187 weeks
23-.48565 -.42016 (23*2π)/192184 weeks
24.41914 -.07645 (24*2π)/192180 weeks
25.9057 -1.19529 (25*2π)/192177 weeks
26-.06276 -1.4523 (26*2π)/192174 weeks
27-.52975 -.83868 (27*2π)/192171 weeks
28-.20346 -.54199 (28*2π)/192169 weeks
29.04355 -.38687 (29*2π)/192166 weeks
30.3525 -.51732 (30*2π)/192164 weeks
31.22025 -1.06578 (31*2π)/192162 weeks
32-.29048 -.9555 (32*2π)/192160 weeks
33-.26656 -.57987 (33*2π)/192158 weeks
34-.16598 -.61526 (34*2π)/192157 weeks
35-.29014 -.60233 (35*2π)/192155 weeks
36-.52795 -.29048 (36*2π)/192153 weeks
37.14204 .17204 (37*2π)/192152 weeks
38.4462 -.39888 (38*2π)/192151 weeks
39.2148 -.7732 (39*2π)/192149 weeks
40-.0836 -.93639 (40*2π)/192148 weeks
41-.64292 -.46693 (41*2π)/192147 weeks
42-.37111 .13993 (42*2π)/192146 weeks
43.43617 -.03558 (43*2π)/192145 weeks
44.38245 -.5015 (44*2π)/192144 weeks
45-.0622 -.82099 (45*2π)/192143 weeks
46-.38104 -.36337 (46*2π)/192142 weeks
47.0544 -.07202 (47*2π)/192141 weeks
48.09553 -.51402 (48*2π)/192140 weeks
49-.16403 -.34581 (49*2π)/192139 weeks
50-.10495 -.15234 (50*2π)/192138 weeks
51.3037 -.0902 (51*2π)/192138 weeks
52.26359 -.6523 (52*2π)/192137 weeks
53-.14667 -.66877 (53*2π)/192136 weeks
54-.47704 -.19136 (54*2π)/192136 weeks
55.15663 .07725 (55*2π)/192135 weeks
56.28431 -.39801 (56*2π)/192134 weeks
57-.12304 -.54212 (57*2π)/192134 weeks
58-.31233 -.20229 (58*2π)/192133 weeks
59.00053 .18162 (59*2π)/192133 weeks
60.45026 .01825 (60*2π)/192132 weeks
61.51748 -.74939 (61*2π)/192131 weeks
62-.36617 -.63174 (62*2π)/192131 weeks
63-.30224 .08864 (63*2π)/192130 weeks
64.3966 .0959 (64*2π)/192130 weeks
65.56441 -.48007 (65*2π)/192130 weeks
66-.02867 -.68182 (66*2π)/192129 weeks
67-.14521 -.26241 (67*2π)/192129 weeks
68.26049 -.23097 (68*2π)/192128 weeks
69.13111 -.55033 (69*2π)/192128 weeks
70-.11602 -.53943 (70*2π)/192127 weeks
71-.15693 -.3704 (71*2π)/192127 weeks
72-.16215 -.12536 (72*2π)/192127 weeks
73.03499 -.30564 (73*2π)/192126 weeks
74-.02433 -.26713 (74*2π)/192126 weeks
75-.05027 -.20065 (75*2π)/192126 weeks
76.0318 -.25045 (76*2π)/192125 weeks
77.20489 -.23469 (77*2π)/192125 weeks
78-.0049 -.61367 (78*2π)/192125 weeks
79-.31452 -.36108 (79*2π)/192124 weeks
80-.11866 -.06853 (80*2π)/192124 weeks
81.0437 -.1537 (81*2π)/192124 weeks
82.07058 -.31344 (82*2π)/192123 weeks
83-.09442 -.33171 (83*2π)/192123 weeks
84-.05438 -.13481 (84*2π)/192123 weeks
85.08051 -.24463 (85*2π)/192123 weeks
86-.05542 -.34446 (86*2π)/192122 weeks
87-.01147 -.20082 (87*2π)/192122 weeks
88-.03314 -.36847 (88*2π)/192122 weeks
89-.19143 -.2767 (89*2π)/192122 weeks
90-.15836 -.09931 (90*2π)/192121 weeks
91-.00984 .01132 (91*2π)/192121 weeks
92.20404 -.19572 (92*2π)/192121 weeks
93.0576 -.40417 (93*2π)/192121 weeks
94-.14688 -.28936 (94*2π)/192120 weeks
95-.10931 -.13814 (95*2π)/192120 weeks
96.07788 -.15287 (96*2π)/192120 weeks
97.02779 -.31527 (97*2π)/192120 weeks
98-.1668 -.2554 (98*2π)/192120 weeks
99-.05018 -.08751 (99*2π)/192119 weeks
100.07069 -.14878 (100*2π)/192119 weeks
101.08179 -.20041 (101*2π)/192119 weeks
102.04864 -.41448 (102*2π)/192119 weeks
103-.24866 -.23773 (103*2π)/192119 weeks
104-.07217 .02971 (104*2π)/192118 weeks
105.26869 -.10787 (105*2π)/192118 weeks
106.18798 -.46029 (106*2π)/192118 weeks
107-.17714 -.50776 (107*2π)/192118 weeks
108-.28916 -.17501 (108*2π)/192118 weeks
109.01352 -.03401 (109*2π)/192118 weeks
110.11189 -.33796 (110*2π)/192117 weeks
111-.1742 -.50679 (111*2π)/192117 weeks
112-.4091 -.12874 (112*2π)/192117 weeks
113-.15822 .05416 (113*2π)/192117 weeks
114.11644 -.04865 (114*2π)/192117 weeks
115.05456 -.32845 (115*2π)/192117 weeks
116-.26918 -.29811 (116*2π)/192117 weeks
117-.24292 .03304 (117*2π)/192116 weeks
118.10331 .01822 (118*2π)/192116 weeks
119.07747 -.21965 (119*2π)/192116 weeks
120-.07484 -.30977 (120*2π)/192116 weeks
121-.22005 -.15524 (121*2π)/192116 weeks
122-.06559 .04967 (122*2π)/192116 weeks
123.1391 -.15482 (123*2π)/192116 weeks
124-.0501 -.35937 (124*2π)/192115 weeks
125-.2268 -.14097 (125*2π)/192115 weeks
126-.09447 .02009 (126*2π)/192115 weeks
127.14949 -.07963 (127*2π)/192115 weeks
128.03428 -.35003 (128*2π)/192115 weeks
129-.22756 -.19812 (129*2π)/192115 weeks
130-.0891 -.03154 (130*2π)/192115 weeks
131.03296 -.14444 (131*2π)/192115 weeks
132-.05788 -.15328 (132*2π)/192115 weeks
133-.06689 -.16252 (133*2π)/192114 weeks
134-.05325 -.13311 (134*2π)/192114 weeks
135-.04381 -.10306 (135*2π)/192114 weeks
136.01176 -.13674 (136*2π)/192114 weeks
137.00815 -.23494 (137*2π)/192114 weeks
138-.10829 -.25159 (138*2π)/192114 weeks
139-.21915 -.13934 (139*2π)/192114 weeks
140-.11282 .02102 (140*2π)/192114 weeks
141.11581 -.07529 (141*2π)/192114 weeks
142-.00768 -.2826 (142*2π)/192114 weeks
143-.15267 -.2514 (143*2π)/192113 weeks
144-.25596 -.10599 (144*2π)/192113 weeks
145-.07499 .04813 (145*2π)/192113 weeks
146.05181 -.10188 (146*2π)/192113 weeks
147-.07541 -.20336 (147*2π)/192113 weeks
148-.10305 -.11881 (148*2π)/192113 weeks
149-.11365 -.12133 (149*2π)/192113 weeks
150-.12457 -.10066 (150*2π)/192113 weeks
151-.0961 -.03966 (151*2π)/192113 weeks
152-.07257 -.05335 (152*2π)/192113 weeks
153-.0853 -.01948 (153*2π)/192113 weeks
154-.00142 -.01651 (154*2π)/192112 weeks
155.06921 -.09914 (155*2π)/192112 weeks
156-.10913 -.18417 (156*2π)/192112 weeks
157-.11218 .04186 (157*2π)/192112 weeks
158.0928 -.02614 (158*2π)/192112 weeks
159.0386 -.1585 (159*2π)/192112 weeks
160-.07539 -.16772 (160*2π)/192112 weeks
161-.05507 -.04332 (161*2π)/192112 weeks
162.04267 -.07328 (162*2π)/192112 weeks
163.00294 -.22183 (163*2π)/192112 weeks
164-.1412 -.20245 (164*2π)/192112 weeks
165-.19123 -.0121 (165*2π)/192112 weeks
166.00262 .04364 (166*2π)/192112 weeks
167.00301 -.15549 (167*2π)/192112 weeks
168-.16376 -.04499 (168*2π)/192111 weeks
169-.04117 .09676 (169*2π)/192111 weeks
170.13474 .00873 (170*2π)/192111 weeks
171.10603 -.1522 (171*2π)/192111 weeks
172-.03393 -.15834 (172*2π)/192111 weeks
173.01306 -.022 (173*2π)/192111 weeks
174.14633 -.1714 (174*2π)/192111 weeks
175-.01958 -.32818 (175*2π)/192111 weeks
176-.21697 -.20366 (176*2π)/192111 weeks
177-.20692 .02491 (177*2π)/192111 weeks
178.05337 .04434 (178*2π)/192111 weeks
179.06828 -.17316 (179*2π)/192111 weeks
180-.14604 -.16133 (180*2π)/192111 weeks
181-.07612 .01706 (181*2π)/192111 weeks
182.02176 -.01608 (182*2π)/192111 weeks
183.06186 -.10059 (183*2π)/192110 weeks
184-.00961 -.11801 (184*2π)/192110 weeks
185-.00327 -.1245 (185*2π)/192110 weeks
186.03689 -.1332 (186*2π)/192110 weeks
187-.05519 -.20236 (187*2π)/192110 weeks
188-.12216 -.16075 (188*2π)/192110 weeks
189-.106 -.089 (189*2π)/192110 weeks
190-.06853 -.07632 (190*2π)/192110 weeks
191-.09469 -.10918 (191*2π)/192110 weeks
192-.1205 -.04642 (192*2π)/192110 weeks
193-.07393 .01532 (193*2π)/192110 weeks
194.05835 -.00234 (194*2π)/192110 weeks
195.0641 -.21246 (195*2π)/192110 weeks
196-.22139 -.21837 (196*2π)/192110 weeks
197-.20465 .09138 (197*2π)/192110 weeks
198.02353 .08423 (198*2π)/192110 weeks
199.09886 -.11676 (199*2π)/192110 weeks
200-.13266 -.16546 (200*2π)/192110 weeks
201-.15384 .03731 (201*2π)/192110 weeks
202.02779 .07581 (202*2π)/192110 weeks
203.07044 -.07026 (203*2π)/19219 weeks
204.00098 -.12949 (204*2π)/19219 weeks
205-.07407 -.0819 (205*2π)/19219 weeks
206-.05078 -.0337 (206*2π)/19219 weeks
207.00894 -.04754 (207*2π)/19219 weeks
208-.01555 -.10563 (208*2π)/19219 weeks
209-.10888 -.08398 (209*2π)/19219 weeks
210-.02457 .03091 (210*2π)/19219 weeks
211.03533 -.03674 (211*2π)/19219 weeks
212-.01665 -.09096 (212*2π)/19219 weeks
213-.02662 -.05559 (213*2π)/19219 weeks
214.01143 -.02208 (214*2π)/19219 weeks
215.02675 -.11431 (215*2π)/19219 weeks
216-.06421 -.15657 (216*2π)/19219 weeks
217-.13328 -.01742 (217*2π)/19219 weeks
218-.00928 .06152 (218*2π)/19219 weeks
219.07953 -.07257 (219*2π)/19219 weeks
220-.01492 -.12547 (220*2π)/19219 weeks
221-.07857 -.04811 (221*2π)/19219 weeks
222.02049 .00702 (222*2π)/19219 weeks
223.05446 -.11519 (223*2π)/19219 weeks
224-.05951 -.12824 (224*2π)/19219 weeks
225-.07216 -.0503 (225*2π)/19219 weeks
226-.04553 -.03544 (226*2π)/19219 weeks
227-.00645 -.01001 (227*2π)/19218 weeks
228-.01621 -.07155 (228*2π)/19218 weeks
229-.03815 -.01496 (229*2π)/19218 weeks
230.02483 .03394 (230*2π)/19218 weeks
231.1008 -.05076 (231*2π)/19218 weeks
232.05589 -.10451 (232*2π)/19218 weeks
233.04527 -.10457 (233*2π)/19218 weeks
234.00689 -.13617 (234*2π)/19218 weeks
235.01401 -.12874 (235*2π)/19218 weeks
236-.02401 -.14738 (236*2π)/19218 weeks
237-.09206 -.14438 (237*2π)/19218 weeks
238-.12988 -.0587 (238*2π)/19218 weeks
239-.02413 .0266 (239*2π)/19218 weeks
240.02985 -.07145 (240*2π)/19218 weeks
241-.03465 -.10761 (241*2π)/19218 weeks
242-.05473 -.0623 (242*2π)/19218 weeks
243-.02614 -.0543 (243*2π)/19218 weeks
244-.03458 -.08131 (244*2π)/19218 weeks
245-.08707 -.06974 (245*2π)/19218 weeks
246-.07267 .02837 (246*2π)/19218 weeks
247.07186 .02354 (247*2π)/19218 weeks
248.00942 -.14575 (248*2π)/19218 weeks
249-.11167 -.04841 (249*2π)/19218 weeks
250-.01682 .07842 (250*2π)/19218 weeks
251.09707 .0067 (251*2π)/19218 weeks
252.09215 -.10108 (252*2π)/19218 weeks
253-.00655 -.15088 (253*2π)/19218 weeks
254-.06339 -.02421 (254*2π)/19218 weeks
255.07197 -.01174 (255*2π)/19218 weeks
256.1004 -.1577 (256*2π)/19218 weeks
257-.06226 -.20157 (257*2π)/19217 weeks
258-.12499 -.06884 (258*2π)/19217 weeks
259-.04163 .00086 (259*2π)/19217 weeks
260.04558 -.04514 (260*2π)/19217 weeks
261-.00093 -.1261 (261*2π)/19217 weeks
262-.08588 -.09767 (262*2π)/19217 weeks
263-.05469 -.01019 (263*2π)/19217 weeks
264-.01525 -.02272 (264*2π)/19217 weeks
265.00479 -.00093 (265*2π)/19217 weeks
266.06317 -.05133 (266*2π)/19217 weeks
267.02645 -.06954 (267*2π)/19217 weeks
268.05116 -.09835 (268*2π)/19217 weeks
269.01554 -.14379 (269*2π)/19217 weeks
270-.07005 -.1101 (270*2π)/19217 weeks
271-.02999 -.05421 (271*2π)/19217 weeks
272.01131 -.05256 (272*2π)/19217 weeks
273.01086 -.10596 (273*2π)/19217 weeks
274-.0219 -.12342 (274*2π)/19217 weeks
275-.03869 -.09591 (275*2π)/19217 weeks
276-.06462 -.08819 (276*2π)/19217 weeks
277-.05988 -.04221 (277*2π)/19217 weeks
278-.01833 -.06097 (278*2π)/19217 weeks
279-.02981 -.02119 (279*2π)/19217 weeks
280.04057 -.04987 (280*2π)/19217 weeks
281.00111 -.13062 (281*2π)/19217 weeks
282-.02352 -.09012 (282*2π)/19217 weeks
283-.04635 -.10895 (283*2π)/19217 weeks
284-.08009 -.07143 (284*2π)/19217 weeks
285-.03087 -.02007 (285*2π)/19217 weeks
286-.00473 -.05059 (286*2π)/19217 weeks
287-.0027 -.08606 (287*2π)/19217 weeks
288-.03688 -.05531 (288*2π)/19217 weeks
289.00789 -.06043 (289*2π)/19217 weeks
290-.00523 -.09943 (290*2π)/19217 weeks
291-.04382 -.1001 (291*2π)/19217 weeks
292-.0593 -.06829 (292*2π)/19217 weeks
293-.04036 -.04433 (293*2π)/19217 weeks
294-.00926 -.02023 (294*2π)/19217 weeks
295.01667 -.07554 (295*2π)/19217 weeks
296.01284 -.11539 (296*2π)/19216 weeks
297-.06155 -.12353 (297*2π)/19216 weeks
298-.0929 -.05885 (298*2π)/19216 weeks
299-.02645 -.04042 (299*2π)/19216 weeks
300-.03239 -.05903 (300*2π)/19216 weeks
301-.04115 -.06332 (301*2π)/19216 weeks
302-.03561 -.04679 (302*2π)/19216 weeks
303-.01869 -.04399 (303*2π)/19216 weeks
304-.03108 -.06637 (304*2π)/19216 weeks
305-.02007 -.02735 (305*2π)/19216 weeks
306.00026 -.05525 (306*2π)/19216 weeks
307-.01341 -.06494 (307*2π)/19216 weeks
308.00735 -.0578 (308*2π)/19216 weeks
309.01175 -.08527 (309*2π)/19216 weeks
310-.01054 -.09513 (310*2π)/19216 weeks
311-.02635 -.12169 (311*2π)/19216 weeks
312-.04411 -.10494 (312*2π)/19216 weeks
313-.04775 -.07605 (313*2π)/19216 weeks
314-.07692 -.0929 (314*2π)/19216 weeks
315-.04819 -.05676 (315*2π)/19216 weeks
316-.04955 -.06664 (316*2π)/19216 weeks
317-.05485 -.04674 (317*2π)/19216 weeks
318-.03687 -.08624 (318*2π)/19216 weeks
319-.08018 -.03264 (319*2π)/19216 weeks
320-.04083 -.02114 (320*2π)/19216 weeks
321-.02122 -.04739 (321*2π)/19216 weeks
322-.01054 -.03896 (322*2π)/19216 weeks
323-.00842 -.0614 (323*2π)/19216 weeks
324-.02017 -.08138 (324*2π)/19216 weeks
325-.0266 -.07545 (325*2π)/19216 weeks
326-.03536 -.09049 (326*2π)/19216 weeks
327-.04415 -.06939 (327*2π)/19216 weeks
328-.04581 -.08929 (328*2π)/19216 weeks
329-.07543 -.07707 (329*2π)/19216 weeks
330-.07883 -.03982 (330*2π)/19216 weeks
331-.03464 -.03974 (331*2π)/19216 weeks
332-.04826 -.05716 (332*2π)/19216 weeks
333-.07462 -.05332 (333*2π)/19216 weeks
334-.05805 -.02317 (334*2π)/19216 weeks
335-.04096 -.02281 (335*2π)/19216 weeks
336-.02295 -.04207 (336*2π)/19216 weeks
337-.04485 -.0616 (337*2π)/19216 weeks
338-.07194 -.02401 (338*2π)/19216 weeks
339-.02087 -.00823 (339*2π)/19216 weeks
340-.00496 -.06363 (340*2π)/19216 weeks
341-.05703 -.06085 (341*2π)/19216 weeks
342-.0644 -.05105 (342*2π)/19216 weeks
343-.07763 .00925 (343*2π)/19216 weeks
344.02819 .00506 (344*2π)/19216 weeks
345-.03094 -.09359 (345*2π)/19216 weeks
346-.06867 -.02116 (346*2π)/19216 weeks
347-.02321 -.00855 (347*2π)/19216 weeks
348-.00991 -.02187 (348*2π)/19216 weeks
349-.01604 -.05411 (349*2π)/19216 weeks
350-.03904 -.03535 (350*2π)/19215 weeks
351-.01281 -.01307 (351*2π)/19215 weeks
352.01814 -.05371 (352*2π)/19215 weeks
353-.02567 -.06676 (353*2π)/19215 weeks
354-.03831 -.04289 (354*2π)/19215 weeks
355-.03027 -.04249 (355*2π)/19215 weeks
356-.01236 -.02051 (356*2π)/19215 weeks
357.00942 -.04033 (357*2π)/19215 weeks
358-.00125 -.05818 (358*2π)/19215 weeks
359.00068 -.09833 (359*2π)/19215 weeks
360-.08097 -.09742 (360*2π)/19215 weeks
361-.09399 -.00041 (361*2π)/19215 weeks
362.01276 .0178 (362*2π)/19215 weeks
363.03609 -.06635 (363*2π)/19215 weeks
364-.04314 -.10919 (364*2π)/19215 weeks
365-.07294 -.0427 (365*2π)/19215 weeks
366-.02223 -.02176 (366*2π)/19215 weeks
367-.01102 -.04912 (367*2π)/19215 weeks
368-.02657 -.09306 (368*2π)/19215 weeks
369-.09313 -.06533 (369*2π)/19215 weeks
370-.07953 -.00691 (370*2π)/19215 weeks
371-.02834 .0199 (371*2π)/19215 weeks
372.01422 -.03025 (372*2π)/19215 weeks
373-.04188