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Fourier Analysis of SGR (SHAW GROUP INC)


SGR (SHAW GROUP INC) appears to have interesting cyclic behaviour every 3 weeks (18.8345*sine), 5 weeks (18.6546*sine), and 11 weeks (18.5928*sine).

SGR (SHAW GROUP INC) has an average price of 13.35 (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 1/2/2007 to 1/16/2017 for SGR (SHAW GROUP INC), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
013.35497   0 
112.7939 19.09875 (1*2π)/320320 weeks
2-5.74297 15.07662 (2*2π)/320160 weeks
3-6.58655 1.59786 (3*2π)/320107 weeks
41.4529 2.21055 (4*2π)/32080 weeks
5-3.68407 9.78981 (5*2π)/32064 weeks
6-15.51977 1.97389 (6*2π)/32053 weeks
7-10.33945 -15.03714 (7*2π)/32046 weeks
88.46956 -16.11337 (8*2π)/32040 weeks
915.35775 -.46634 (9*2π)/32036 weeks
105.33761 7.77571 (10*2π)/32032 weeks
11.30664 1.61181 (11*2π)/32029 weeks
127.54804 .65959 (12*2π)/32027 weeks
137.88346 12.41492 (13*2π)/32025 weeks
14-7.26505 16.96833 (14*2π)/32023 weeks
15-17.62806 3.2404 (15*2π)/32021 weeks
16-9.26917 -10.03667 (16*2π)/32020 weeks
171.97279 -6.58246 (17*2π)/32019 weeks
18-.68171 .2334 (18*2π)/32018 weeks
19-5.14085 -5.80141 (19*2π)/32017 weeks
204.84538 -12.49165 (20*2π)/32016 weeks
2117.01613 -1.82492 (21*2π)/32015 weeks
2210.31655 15.05643 (22*2π)/32015 weeks
23-7.20122 14.61071 (23*2π)/32014 weeks
24-11.13051 .83561 (24*2π)/32013 weeks
25-2.11648 -2.91131 (25*2π)/32013 weeks
26-2.07757 4.4769 (26*2π)/32012 weeks
27-12.5429 1.56707 (27*2π)/32012 weeks
28-11.13136 -14.05207 (28*2π)/32011 weeks
297.08014 -18.59275 (29*2π)/32011 weeks
3018.0286 -2.92639 (30*2π)/32011 weeks
318.44416 10.54185 (31*2π)/32010 weeks
32-2.59871 5.96794 (32*2π)/32010 weeks
331.45592 -.747 (33*2π)/32010 weeks
346.47761 6.76216 (34*2π)/3209 weeks
35-4.40326 14.74891 (35*2π)/3209 weeks
36-17.97796 4.49585 (36*2π)/3209 weeks
37-12.8138 -12.77399 (37*2π)/3209 weeks
383.33916 -13.82087 (38*2π)/3208 weeks
397.32587 -2.49471 (39*2π)/3208 weeks
40.28217 -.35824 (40*2π)/3208 weeks
412.25191 -7.3582 (41*2π)/3208 weeks
4213.37184 -3.58438 (42*2π)/3208 weeks
4312.59922 12.09581 (43*2π)/3207 weeks
44-3.80121 17.45303 (44*2π)/3207 weeks
45-13.91292 5.14668 (45*2π)/3207 weeks
46-7.36682 -4.92516 (46*2π)/3207 weeks
47-1.32655 -1.13893 (47*2π)/3207 weeks
48-7.32218 1.14552 (48*2π)/3207 weeks
49-10.16005 -9.56243 (49*2π)/3207 weeks
503.05748 -17.40771 (50*2π)/3206 weeks
5116.65143 -6.68125 (51*2π)/3206 weeks
5211.88856 9.05926 (52*2π)/3206 weeks
53-1.13162 9.41335 (53*2π)/3206 weeks
54-2.24953 1.21018 (54*2π)/3206 weeks
553.43662 3.48677 (55*2π)/3206 weeks
56-2.75574 11.40156 (56*2π)/3206 weeks
57-16.10366 4.95032 (57*2π)/3206 weeks
58-14.31621 -12.73617 (58*2π)/3206 weeks
592.99927 -17.68453 (59*2π)/3205 weeks
6012.10179 -5.24659 (60*2π)/3205 weeks
615.05358 2.90947 (61*2π)/3205 weeks
621.07246 -2.59837 (62*2π)/3205 weeks
639.79008 -3.79172 (63*2π)/3205 weeks
6412.92297 9.59919 (64*2π)/3205 weeks
65-2.0736 18.65459 (65*2π)/3205 weeks
66-16.92916 7.11457 (66*2π)/3205 weeks
67-11.85747 -9.47508 (67*2π)/3205 weeks
681.73016 -9.54536 (68*2π)/3205 weeks
692.50125 -.69125 (69*2π)/3205 weeks
70-4.11266 -3.09854 (70*2π)/3205 weeks
711.5476 -11.98231 (71*2π)/3205 weeks
7215.32225 -6.83213 (72*2π)/3204 weeks
7315.02935 10.11915 (73*2π)/3204 weeks
74-.44454 15.75591 (74*2π)/3204 weeks
75-8.77612 5.3027 (75*2π)/3204 weeks
76-2.65923 -1.04952 (76*2π)/3204 weeks
77-.27057 4.9294 (77*2π)/3204 weeks
78-9.99212 5.81954 (78*2π)/3204 weeks
79-14.01012 -7.71623 (79*2π)/3204 weeks
80-.56014 -17.56421 (80*2π)/3204 weeks
8113.47028 -8.73789 (81*2π)/3204 weeks
8210.61387 4.76862 (82*2π)/3204 weeks
831.48901 4.84133 (83*2π)/3204 weeks
843.35845 -.11897 (84*2π)/3204 weeks
858.34663 6.31537 (85*2π)/3204 weeks
86-.71226 15.92715 (86*2π)/3204 weeks
87-16.03447 9.24377 (87*2π)/3204 weeks
88-15.60313 -8.32774 (88*2π)/3204 weeks
89-.93954 -13.63829 (89*2π)/3204 weeks
905.63224 -4.45268 (90*2π)/3204 weeks
91-.21046 -1.16301 (91*2π)/3204 weeks
92.52866 -8.60986 (92*2π)/3203 weeks
9312.96374 -7.54153 (93*2π)/3203 weeks
9416.51102 8.72347 (94*2π)/3203 weeks
951.18886 18.83451 (95*2π)/3203 weeks
96-12.8144 8.77066 (96*2π)/3203 weeks
97-8.36046 -4.16937 (97*2π)/3203 weeks
98.55825 -1.65195 (98*2π)/3203 weeks
99-4.33242 4.62772 (99*2π)/3203 weeks
100-12.28526 -3.77668 (100*2π)/3203 weeks
101-3.38739 -16.74539 (101*2π)/3203 weeks
10213.98254 -11.97977 (102*2π)/3203 weeks
10315.59161 5.57545 (103*2π)/3203 weeks
1042.22624 11.48026 (104*2π)/3203 weeks
105-3.24316 3.1478 (105*2π)/3203 weeks
1063.45662 1.43776 (106*2π)/3203 weeks
1072.43759 11.14579 (107*2π)/3203 weeks
108-11.92002 11.93537 (108*2π)/3203 weeks
109-18.52284 -4.0969 (109*2π)/3203 weeks
110-5.93701 -16.28624 (110*2π)/3203 weeks
1117.47162 -9.97274 (111*2π)/3203 weeks
1125.54063 -.14284 (112*2π)/3203 weeks
113.48542 -2.62882 (113*2π)/3203 weeks
1147.31471 -6.19166 (114*2π)/3203 weeks
11514.31491 4.47025 (115*2π)/3203 weeks
1164.14447 17.40362 (116*2π)/3203 weeks
117-12.72412 12.3396 (117*2π)/3203 weeks
118-13.92661 -3.55473 (118*2π)/3203 weeks
119-2.85026 -7.77731 (119*2π)/3203 weeks
120-.59311 -1.10719 (120*2π)/3203 weeks
121-7.19669 -3.34333 (121*2π)/3203 weeks
122-2.64898 -14.46133 (122*2π)/3203 weeks
12313.82456 -12.71402 (123*2π)/3203 weeks
12418.58229 5.42559 (124*2π)/3203 weeks
1253.87982 15.88489 (125*2π)/3203 weeks
126-7.82896 6.88118 (126*2π)/3203 weeks
127-2.27967 -1.93616 (127*2π)/3203 weeks
1283.28806 4.62208 (128*2π)/3203 weeks
129-6.87995 10.43579 (129*2π)/3202 weeks
130-17.05172 -1.76413 (130*2π)/3202 weeks
131-7.26708 -17.33415 (131*2π)/3202 weeks
13210.60765 -13.53391 (132*2π)/3202 weeks
13312.44077 1.82651 (133*2π)/3202 weeks
1342.17322 5.17816 (134*2π)/3202 weeks
1351.78816 -1.85272 (135*2π)/3202 weeks
13610.34962 1.68623 (136*2π)/3202 weeks
1376.42993 15.26473 (137*2π)/3202 weeks
138-11.10852 16.00116 (138*2π)/3202 weeks
139-18.49963 -.59244 (139*2π)/3202 weeks
140-7.37499 -11.7043 (140*2π)/3202 weeks
1412.0772 -6.20269 (141*2π)/3202 weeks
142-2.06353 -1.542 (142*2π)/3202 weeks
143-3.68216 -9.20126 (143*2π)/3202 weeks
1448.77968 -12.74401 (144*2π)/3202 weeks
14518.14393 1.23343 (145*2π)/3202 weeks
1467.72094 16.02818 (146*2π)/3202 weeks
147-8.26342 11.88122 (147*2π)/3202 weeks
148-8.63024 -.63035 (148*2π)/3202 weeks
149-.90193 -.77739 (149*2π)/3202 weeks
150-4.73958 5.28646 (150*2π)/3202 weeks
151-14.08477 -2.06535 (151*2π)/3202 weeks
152-7.61905 -17.15993 (152*2π)/3202 weeks
15310.94083 -16.21626 (153*2π)/3202 weeks
15416.35123 .73077 (154*2π)/3202 weeks
1554.51674 8.89675 (155*2π)/3202 weeks
156-1.70106 1.21874 (156*2π)/3202 weeks
1576.04013 -1.36616 (157*2π)/3202 weeks
1587.5651 10.04679 (158*2π)/3202 weeks
159-7.40008 14.85418 (159*2π)/3202 weeks
160-17.94753   (160*2π)/3202 weeks
161-7.40008 -14.85418 (161*2π)/3202 weeks
1627.5651 -10.04679 (162*2π)/3202 weeks
1636.04013 1.36616 (163*2π)/3202 weeks
164-1.70106 -1.21874 (164*2π)/3202 weeks
1654.51674 -8.89675 (165*2π)/3202 weeks
16616.35123 -.73077 (166*2π)/3202 weeks
16710.94083 16.21626 (167*2π)/3202 weeks
168-7.61905 17.15993 (168*2π)/3202 weeks
169-14.08477 2.06535 (169*2π)/3202 weeks
170-4.73958 -5.28646 (170*2π)/3202 weeks
171-.90193 .77739 (171*2π)/3202 weeks
172-8.63024 .63035 (172*2π)/3202 weeks
173-8.26342 -11.88122 (173*2π)/3202 weeks
1747.72094 -16.02818 (174*2π)/3202 weeks
17518.14393 -1.23343 (175*2π)/3202 weeks
1768.77968 12.74401 (176*2π)/3202 weeks
177-3.68216 9.20126 (177*2π)/3202 weeks
178-2.06353 1.542 (178*2π)/3202 weeks
1792.0772 6.20269 (179*2π)/3202 weeks
180-7.37499 11.7043 (180*2π)/3202 weeks
181-18.49963 .59244 (181*2π)/3202 weeks
182-11.10852 -16.00116 (182*2π)/3202 weeks
1836.42993 -15.26473 (183*2π)/3202 weeks
18410.34962 -1.68623 (184*2π)/3202 weeks
1851.78816 1.85272 (185*2π)/3202 weeks
1862.17322 -5.17816 (186*2π)/3202 weeks
18712.44077 -1.82651 (187*2π)/3202 weeks
18810.60765 13.53391 (188*2π)/3202 weeks
189-7.26708 17.33415 (189*2π)/3202 weeks
190-17.05172 1.76413 (190*2π)/3202 weeks
191-6.87995 -10.43579 (191*2π)/3202 weeks
1923.28806 -4.62208 (192*2π)/3202 weeks
193-2.27967 1.93616 (193*2π)/3202 weeks
194-7.82896 -6.88118 (194*2π)/3202 weeks
1953.87982 -15.88489 (195*2π)/3202 weeks
19618.58229 -5.42559 (196*2π)/3202 weeks
19713.82456 12.71402 (197*2π)/3202 weeks
198-2.64898 14.46133 (198*2π)/3202 weeks
199-7.19669 3.34333 (199*2π)/3202 weeks
200-.59311 1.10719 (200*2π)/3202 weeks
201-2.85026 7.77731 (201*2π)/3202 weeks
202-13.92661 3.55473 (202*2π)/3202 weeks
203-12.72412 -12.3396 (203*2π)/3202 weeks
2044.14447 -17.40362 (204*2π)/3202 weeks
20514.31491 -4.47025 (205*2π)/3202 weeks
2067.31471 6.19166 (206*2π)/3202 weeks
207.48542 2.62882 (207*2π)/3202 weeks
2085.54063 .14284 (208*2π)/3202 weeks
2097.47162 9.97274 (209*2π)/3202 weeks
210-5.93701 16.28624 (210*2π)/3202 weeks
211-18.52284 4.0969 (211*2π)/3202 weeks
212-11.92002 -11.93537 (212*2π)/3202 weeks
2132.43759 -11.14579 (213*2π)/3202 weeks
2143.45662 -1.43776 (214*2π)/3201 weeks
215-3.24316 -3.1478 (215*2π)/3201 weeks
2162.22624 -11.48026 (216*2π)/3201 weeks
21715.59161 -5.57545 (217*2π)/3201 weeks
21813.98254 11.97977 (218*2π)/3201 weeks
219-3.38739 16.74539 (219*2π)/3201 weeks
220-12.28526 3.77668 (220*2π)/3201 weeks
221-4.33242 -4.62772 (221*2π)/3201 weeks
222.55825 1.65195 (222*2π)/3201 weeks
223-8.36046 4.16937 (223*2π)/3201 weeks
224-12.8144 -8.77066 (224*2π)/3201 weeks
2251.18886 -18.83451 (225*2π)/3201 weeks
22616.51102 -8.72347 (226*2π)/3201 weeks
22712.96374 7.54153 (227*2π)/3201 weeks
228.52866 8.60986 (228*2π)/3201 weeks
229-.21046 1.16301 (229*2π)/3201 weeks
2305.63224 4.45268 (230*2π)/3201 weeks
231-.93954 13.63829 (231*2π)/3201 weeks
232-15.60313 8.32774 (232*2π)/3201 weeks
233-16.03447 -9.24377 (233*2π)/3201 weeks
234-.71226 -15.92715 (234*2π)/3201 weeks
2358.34663 -6.31537 (235*2π)/3201 weeks
2363.35845 .11897 (236*2π)/3201 weeks
2371.48901 -4.84133 (237*2π)/3201 weeks
23810.61387 -4.76862 (238*2π)/3201 weeks
23913.47028 8.73789 (239*2π)/3201 weeks
240-.56014 17.56421 (240*2π)/3201 weeks
241-14.01012 7.71623 (241*2π)/3201 weeks
242-9.99212 -5.81954 (242*2π)/3201 weeks
243-.27057 -4.9294 (243*2π)/3201 weeks
244-2.65923 1.04952 (244*2π)/3201 weeks
245-8.77612 -5.3027 (245*2π)/3201 weeks
246-.44454 -15.75591 (246*2π)/3201 weeks
24715.02935 -10.11915 (247*2π)/3201 weeks
24815.32225 6.83213 (248*2π)/3201 weeks
2491.5476 11.98231 (249*2π)/3201 weeks
250-4.11266 3.09854 (250*2π)/3201 weeks
2512.50125 .69125 (251*2π)/3201 weeks
2521.73016 9.54536 (252*2π)/3201 weeks
253-11.85747 9.47508 (253*2π)/3201 weeks
254-16.92916 -7.11457 (254*2π)/3201 weeks
255-2.0736 -18.65459 (255*2π)/3201 weeks
25612.92297 -9.59919 (256*2π)/3201 weeks
2579.79008 3.79172 (257*2π)/3201 weeks
2581.07246 2.59837 (258*2π)/3201 weeks
2595.05358 -2.90947 (259*2π)/3201 weeks
26012.10179 5.24659 (260*2π)/3201 weeks
2612.99927 17.68453 (261*2π)/3201 weeks
262-14.31621 12.73617 (262*2π)/3201 weeks
263-16.10366 -4.95032 (263*2π)/3201 weeks
264-2.75574 -11.40156 (264*2π)/3201 weeks
2653.43662 -3.48677 (265*2π)/3201 weeks
266-2.24953 -1.21018 (266*2π)/3201 weeks
267-1.13162 -9.41335 (267*2π)/3201 weeks
26811.88856 -9.05926 (268*2π)/3201 weeks
26916.65143 6.68125 (269*2π)/3201 weeks
2703.05748 17.40771 (270*2π)/3201 weeks
271-10.16005 9.56243 (271*2π)/3201 weeks
272-7.32218 -1.14552 (272*2π)/3201 weeks
273-1.32655 1.13893 (273*2π)/3201 weeks
274-7.36682 4.92516 (274*2π)/3201 weeks
275-13.91292 -5.14668 (275*2π)/3201 weeks
276-3.80121 -17.45303 (276*2π)/3201 weeks
27712.59922 -12.09581 (277*2π)/3201 weeks
27813.37184 3.58438 (278*2π)/3201 weeks
2792.25191 7.3582 (279*2π)/3201 weeks
280.28217 .35824 (280*2π)/3201 weeks
2817.32587 2.49471 (281*2π)/3201 weeks
2823.33916 13.82087 (282*2π)/3201 weeks
283-12.8138 12.77399 (283*2π)/3201 weeks
284-17.97796 -4.49585 (284*2π)/3201 weeks
285-4.40326 -14.74891 (285*2π)/3201 weeks
2866.47761 -6.76216 (286*2π)/3201 weeks
2871.45592 .747 (287*2π)/3201 weeks
288-2.59871 -5.96794 (288*2π)/3201 weeks
2898.44416 -10.54185 (289*2π)/3201 weeks
29018.0286 2.92639 (290*2π)/3201 weeks
2917.08014 18.59275 (291*2π)/3201 weeks
292-11.13136 14.05207 (292*2π)/3201 weeks
293-12.5429 -1.56707 (293*2π)/3201 weeks
294-2.07757 -4.4769 (294*2π)/3201 weeks
295-2.11648 2.91131 (295*2π)/3201 weeks
296-11.13051 -.83561 (296*2π)/3201 weeks
297-7.20122 -14.61071 (297*2π)/3201 weeks
29810.31655 -15.05643 (298*2π)/3201 weeks
29917.01613 1.82492 (299*2π)/3201 weeks
3004.84538 12.49165 (300*2π)/3201 weeks
301-5.14085 5.80141 (301*2π)/3201 weeks
302-.68171 -.2334 (302*2π)/3201 weeks
3031.97279 6.58246 (303*2π)/3201 weeks
304-9.26917 10.03667 (304*2π)/3201 weeks
305-17.62806 -3.2404 (305*2π)/3201 weeks
306-7.26505 -16.96833 (306*2π)/3201 weeks
3077.88346 -12.41492 (307*2π)/3201 weeks
3087.54804 -.65959 (308*2π)/3201 weeks
309.30664 -1.61181 (309*2π)/3201 weeks
3105.33761 -7.77571 (310*2π)/3201 weeks
31115.35775 .46634 (311*2π)/3201 weeks
3128.46956 16.11337 (312*2π)/3201 weeks
313-10.33945 15.03714 (313*2π)/3201 weeks
314-15.51977 -1.97389 (314*2π)/3201 weeks
315-3.68407 -9.78981 (315*2π)/3201 weeks
3161.4529 -2.21055 (316*2π)/3201 weeks
317-6.58655 -1.59786 (317*2π)/3201 weeks
318-5.74297 -15.07662 (318*2π)/3201 weeks

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