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# Fourier Analysis of SGY (Stone Energy Corporation)

SGY (Stone Energy Corporation) appears to have interesting cyclic behaviour every 80 weeks (196.3564*cosine), 96 weeks (174.8561*cosine), and 74 weeks (136.6448*cosine).

SGY (Stone Energy Corporation) has an average price of 1,671.98 (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 1/3/2000 to 4/23/2018 for SGY (Stone Energy Corporation), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
01,671.977   0
1-164.8569 785.384 (1*2π)/956956 weeks
2-336.1299 212.5465 (2*2π)/956478 weeks
3210.3506 601.6912 (3*2π)/956319 weeks
4144.3576 286.8486 (4*2π)/956239 weeks
5142.5694 398.7036 (5*2π)/956191 weeks
6-85.31924 -101.7124 (6*2π)/956159 weeks
7-82.22622 329.409 (7*2π)/956137 weeks
8-156.0234 96.80373 (8*2π)/956120 weeks
9173.3414 172.296 (9*2π)/956106 weeks
10-174.8561 45.82689 (10*2π)/95696 weeks
1150.66582 41.6132 (11*2π)/95687 weeks
12-196.3564 105.8982 (12*2π)/95680 weeks
13136.6448 25.93285 (13*2π)/95674 weeks
14-81.32221 55.67123 (14*2π)/95668 weeks
1559.73898 17.33781 (15*2π)/95664 weeks
16-44.21779 11.45246 (16*2π)/95660 weeks
1722.55835 81.33972 (17*2π)/95656 weeks
18-28.80416 129.3569 (18*2π)/95653 weeks
19-9.44484 -13.96935 (19*2π)/95650 weeks
20-18.87227 65.40921 (20*2π)/95648 weeks
21-31.65737 -40.77949 (21*2π)/95646 weeks
22-17.02097 65.75138 (22*2π)/95643 weeks
231.74794 67.85278 (23*2π)/95642 weeks
2422.16427 21.61626 (24*2π)/95640 weeks
25-35.07162 -27.05032 (25*2π)/95638 weeks
2614.52635 37.71475 (26*2π)/95637 weeks
27-43.99353 41.78933 (27*2π)/95635 weeks
28-11.17226 20.85966 (28*2π)/95634 weeks
29.22645 26.77411 (29*2π)/95633 weeks
302.46402 -16.64527 (30*2π)/95632 weeks
31-15.58379 36.81239 (31*2π)/95631 weeks
3231.58675 4.70496 (32*2π)/95630 weeks
33-7.31536 15.37467 (33*2π)/95629 weeks
34-41.73427 15.11823 (34*2π)/95628 weeks
353.83597 10.43896 (35*2π)/95627 weeks
368.15242 10.83684 (36*2π)/95627 weeks
3726.17778 -.83147 (37*2π)/95626 weeks
38-7.40497 23.46251 (38*2π)/95625 weeks
3918.03994 -3.59416 (39*2π)/95625 weeks
40-4.53968 50.96963 (40*2π)/95624 weeks
41-12.88044 9.19081 (41*2π)/95623 weeks
4219.82988 10.57336 (42*2π)/95623 weeks
43-15.54578 28.08216 (43*2π)/95622 weeks
44-8.17496 10.5793 (44*2π)/95622 weeks
45-1.63073 4.75534 (45*2π)/95621 weeks
4612.98994 -11.59206 (46*2π)/95621 weeks
47-6.4883 17.26297 (47*2π)/95620 weeks
486.19107 -2.4265 (48*2π)/95620 weeks
4919.51771 23.17191 (49*2π)/95620 weeks
50-5.48004 21.91214 (50*2π)/95619 weeks
511.26622 17.14637 (51*2π)/95619 weeks
5214.07012 -6.72415 (52*2π)/95618 weeks
533.50088 23.4515 (53*2π)/95618 weeks
545.35108 .18414 (54*2π)/95618 weeks
553.56968 18.90676 (55*2π)/95617 weeks
56.91386 31.41571 (56*2π)/95617 weeks
5720.77764 18.4245 (57*2π)/95617 weeks
58-22.62815 11.76799 (58*2π)/95616 weeks
5911.34137 23.49957 (59*2π)/95616 weeks
60-6.83387 -5.97151 (60*2π)/95616 weeks
61-1.84554 30.21211 (61*2π)/95616 weeks
62-16.14361 24.73082 (62*2π)/95615 weeks
63-3.29815 -7.79515 (63*2π)/95615 weeks
64-4.06735 4.50134 (64*2π)/95615 weeks
65-.0543 14.55261 (65*2π)/95615 weeks
66-10.72659 -3.25393 (66*2π)/95614 weeks
676.92062 12.86852 (67*2π)/95614 weeks
681.09997 5.80986 (68*2π)/95614 weeks
69-3.7872 -2.37188 (69*2π)/95614 weeks
705.24559 18.52914 (70*2π)/95614 weeks
71-1.88184 14.68458 (71*2π)/95613 weeks
72-14.19526 9.30843 (72*2π)/95613 weeks
73-6.14937 -12.97866 (73*2π)/95613 weeks
741.71465 -2.95391 (74*2π)/95613 weeks
75-7.70726 9.87815 (75*2π)/95613 weeks
76-1.06764 -2.90739 (76*2π)/95613 weeks
776.78567 -18.21355 (77*2π)/95612 weeks
7814.82115 -1.27494 (78*2π)/95612 weeks
791.83401 8.66231 (79*2π)/95612 weeks
8016.19056 -7.69783 (80*2π)/95612 weeks
8116.74789 14.37585 (81*2π)/95612 weeks
8210.03971 -.34061 (82*2π)/95612 weeks
835.84983 13.08168 (83*2π)/95612 weeks
84-1.167 15.36229 (84*2π)/95611 weeks
8515.64915 8.61951 (85*2π)/95611 weeks
866.44545 2.13936 (86*2π)/95611 weeks
87-6.92995 3.18724 (87*2π)/95611 weeks
88-3.51335 11.90411 (88*2π)/95611 weeks
895.24742 -2.28968 (89*2π)/95611 weeks
9016.5757 3.09675 (90*2π)/95611 weeks
9116.67397 13.76097 (91*2π)/95611 weeks
923.45159 -5.42032 (92*2π)/95610 weeks
9318.69125 8.58066 (93*2π)/95610 weeks
946.03589 21.46776 (94*2π)/95610 weeks
954.2829 14.66031 (95*2π)/95610 weeks
961.46672 14.2092 (96*2π)/95610 weeks
9716.35134 9.33688 (97*2π)/95610 weeks
98-14.93379 16.00871 (98*2π)/95610 weeks
996.34386 7.03839 (99*2π)/95610 weeks
1002.37527 18.06372 (100*2π)/95610 weeks
1014.53607 1.85044 (101*2π)/9569 weeks
102-6.00581 10.69585 (102*2π)/9569 weeks
1031.83101 13.33771 (103*2π)/9569 weeks
1041.0953 20.53187 (104*2π)/9569 weeks
1052.89336 -13.03829 (105*2π)/9569 weeks
106-2.80001 17.35267 (106*2π)/9569 weeks
107-14.37769 9.04947 (107*2π)/9569 weeks
108-.61841 1.99804 (108*2π)/9569 weeks
109-1.48599 1.85001 (109*2π)/9569 weeks
1109.88832 -6.44206 (110*2π)/9569 weeks
1115.42535 -6.32174 (111*2π)/9569 weeks
11211.11798 5.50564 (112*2π)/9569 weeks
113.87883 18.01767 (113*2π)/9568 weeks
11411.06462 2.97331 (114*2π)/9568 weeks
1157.01974 9.38615 (115*2π)/9568 weeks
1166.60196 2.62977 (116*2π)/9568 weeks
1172.87387 6.55311 (117*2π)/9568 weeks
1189.49518 12.41889 (118*2π)/9568 weeks
11912.45059 13.71418 (119*2π)/9568 weeks
120-3.49767 18.69508 (120*2π)/9568 weeks
12110.34399 16.81149 (121*2π)/9568 weeks
1222.5028 9.5052 (122*2π)/9568 weeks
123-13.17437 14.80779 (123*2π)/9568 weeks
124-4.27713 2.95318 (124*2π)/9568 weeks
125-2.50627 19.74121 (125*2π)/9568 weeks
126-7.38949 10.4676 (126*2π)/9568 weeks
127-.51922 5.69651 (127*2π)/9568 weeks
128-6.15242 -7.15146 (128*2π)/9567 weeks
129-7.60551 13.0671 (129*2π)/9567 weeks
130-2.26703 -1.11632 (130*2π)/9567 weeks
131-3.27497 .76048 (131*2π)/9567 weeks
13213.09273 6.8755 (132*2π)/9567 weeks
133-.1327 -.00584 (133*2π)/9567 weeks
134-8.70087 3.26884 (134*2π)/9567 weeks
1355.60936 13.53771 (135*2π)/9567 weeks
136-7.25149 5.91653 (136*2π)/9567 weeks
1374.0496 4.69691 (137*2π)/9567 weeks
138-3.91169 -4.44798 (138*2π)/9567 weeks
139-2.30666 .91325 (139*2π)/9567 weeks
140-1.45065 6.23353 (140*2π)/9567 weeks
1416.11207 -3.77218 (141*2π)/9567 weeks
142-2.10397 16.09899 (142*2π)/9567 weeks
1431.26689 1.35503 (143*2π)/9567 weeks
144.46564 -9.4554 (144*2π)/9567 weeks
1452.18884 3.38169 (145*2π)/9567 weeks
146.81775 3.44948 (146*2π)/9567 weeks
1472.64735 2.08563 (147*2π)/9567 weeks
1485.00328 3.05365 (148*2π)/9566 weeks
14910.10636 1.01658 (149*2π)/9566 weeks
1503.26744 7.37827 (150*2π)/9566 weeks
1515.20013 7.46985 (151*2π)/9566 weeks
152.22314 14.62148 (152*2π)/9566 weeks
153.46612 1.36269 (153*2π)/9566 weeks
1542.87247 4.60458 (154*2π)/9566 weeks
155-.23266 9.43094 (155*2π)/9566 weeks
156-7.5278 7.0786 (156*2π)/9566 weeks
1573.57118 .44915 (157*2π)/9566 weeks
158.29095 11.79516 (158*2π)/9566 weeks
159-6.32861 .55489 (159*2π)/9566 weeks
160-1.94059 .01263 (160*2π)/9566 weeks
161-4.20574 -1.82709 (161*2π)/9566 weeks
1624.43193 3.92846 (162*2π)/9566 weeks
1632.4733 1.39599 (163*2π)/9566 weeks
1644.24551 5.94748 (164*2π)/9566 weeks
165-2.05255 .34683 (165*2π)/9566 weeks
1665.6076 -7.41651 (166*2π)/9566 weeks
167-4.8963 7.66875 (167*2π)/9566 weeks
1689.05786 .71623 (168*2π)/9566 weeks
1693.77282 8.19459 (169*2π)/9566 weeks
1707.39437 3.35606 (170*2π)/9566 weeks
171.7646 10.34536 (171*2π)/9566 weeks
172-3.73199 1.9165 (172*2π)/9566 weeks
1732.04895 13.57898 (173*2π)/9566 weeks
174-1.8817 -.74602 (174*2π)/9565 weeks
1752.59048 5.89926 (175*2π)/9565 weeks
176-6.8401 2.96974 (176*2π)/9565 weeks
177-1.90902 6.09816 (177*2π)/9565 weeks
178-10.04764 6.09812 (178*2π)/9565 weeks
179-2.09228 .51312 (179*2π)/9565 weeks
180-.97793 -6.77669 (180*2π)/9565 weeks
181-3.95006 -2.03463 (181*2π)/9565 weeks
182-.44636 -6.18128 (182*2π)/9565 weeks
1836.81851 -4.23685 (183*2π)/9565 weeks
184-1.88458 -4.60466 (184*2π)/9565 weeks
18510.1398 -.83983 (185*2π)/9565 weeks
18611.41731 4.01274 (186*2π)/9565 weeks
1876.67999 .93339 (187*2π)/9565 weeks
188.10425 3.92295 (188*2π)/9565 weeks
18912.68104 1.50241 (189*2π)/9565 weeks
190-3.1221 10.60018 (190*2π)/9565 weeks
1917.12283 1.88193 (191*2π)/9565 weeks
1921.00046 6.28273 (192*2π)/9565 weeks
1933.89158 8.64934 (193*2π)/9565 weeks
194-6.54515 2.10988 (194*2π)/9565 weeks
1953.39023 4.76208 (195*2π)/9565 weeks
196-3.02979 6.41845 (196*2π)/9565 weeks
197-1.24843 -2.01855 (197*2π)/9565 weeks
198-2.13339 4.45519 (198*2π)/9565 weeks
1993.44546 -8.75859 (199*2π)/9565 weeks
200-.92888 8.61472 (200*2π)/9565 weeks
201-1.64917 -2.61849 (201*2π)/9565 weeks
2027.04009 .49182 (202*2π)/9565 weeks
203-1.17787 -4.99283 (203*2π)/9565 weeks
2046.86601 2.28094 (204*2π)/9565 weeks
205-.63582 1.05806 (205*2π)/9565 weeks
20615.36842 .05035 (206*2π)/9565 weeks
207-2.91339 2.9167 (207*2π)/9565 weeks
2083.31105 2.8777 (208*2π)/9565 weeks
2092.2605 8.95021 (209*2π)/9565 weeks
2105.06788 -2.22194 (210*2π)/9565 weeks
211-.8857 1.72007 (211*2π)/9565 weeks
2121.92235 -.35983 (212*2π)/9565 weeks
2131.82294 4.28925 (213*2π)/9564 weeks
21413.12322 .58703 (214*2π)/9564 weeks
2156.52707 2.4677 (215*2π)/9564 weeks
216-3.57013 6.59722 (216*2π)/9564 weeks
217.97367 1.744 (217*2π)/9564 weeks
2187.84271 8.07629 (218*2π)/9564 weeks
219-1.11022 4.62746 (219*2π)/9564 weeks
2201.29083 -4.06754 (220*2π)/9564 weeks
2215.83228 7.67105 (221*2π)/9564 weeks
222-.40518 10.96014 (222*2π)/9564 weeks
2232.23539 -.59107 (223*2π)/9564 weeks
224.24458 3.22965 (224*2π)/9564 weeks
225.9766 2.46724 (225*2π)/9564 weeks
226-8.70174 .87647 (226*2π)/9564 weeks
2275.85471 7.30949 (227*2π)/9564 weeks
2281.56255 .07938 (228*2π)/9564 weeks
2293.82344 -2.74124 (229*2π)/9564 weeks
2302.42017 2.20096 (230*2π)/9564 weeks
231-2.69866 -.6439 (231*2π)/9564 weeks
2325.72536 5.03424 (232*2π)/9564 weeks
2331.26747 2.44264 (233*2π)/9564 weeks
2343.19958 5.35899 (234*2π)/9564 weeks
2351.91884 2.24827 (235*2π)/9564 weeks
236-.48008 -1.03014 (236*2π)/9564 weeks
237.46103 4.68032 (237*2π)/9564 weeks
2386.02189 -3.44878 (238*2π)/9564 weeks
2392.56275 5.81514 (239*2π)/9564 weeks
2404.3959 5.10823 (240*2π)/9564 weeks
241-1.21956 2.12236 (241*2π)/9564 weeks
242-3.74387 8.66386 (242*2π)/9564 weeks
2432.66894 1.40607 (243*2π)/9564 weeks
2442.12692 3.01434 (244*2π)/9564 weeks
245-4.50714 -.85742 (245*2π)/9564 weeks
246.97862 -1.72213 (246*2π)/9564 weeks
247-2.1479 -3.18141 (247*2π)/9564 weeks
2485.19335 1.30006 (248*2π)/9564 weeks
2496.34022 -.68398 (249*2π)/9564 weeks
2503.46334 3.47409 (250*2π)/9564 weeks
2518.03953 1.39431 (251*2π)/9564 weeks
2522.68631 1.55897 (252*2π)/9564 weeks
2531.00694 5.73194 (253*2π)/9564 weeks
2541.08811 4.62673 (254*2π)/9564 weeks
2554.00371 5.18838 (255*2π)/9564 weeks
256.39185 5.1308 (256*2π)/9564 weeks
2571.34091 3.98313 (257*2π)/9564 weeks
258-2.67465 -2.08209 (258*2π)/9564 weeks
2593.94653 6.02034 (259*2π)/9564 weeks
2602.23625 5.16926 (260*2π)/9564 weeks
261-2.18612 1.60484 (261*2π)/9564 weeks
262-2.98511 -.67061 (262*2π)/9564 weeks
2633.75394 6.85582 (263*2π)/9564 weeks
264-6.40489 2.20936 (264*2π)/9564 weeks
2652.88475 .56625 (265*2π)/9564 weeks
266.27962 -.85089 (266*2π)/9564 weeks
267-3.41816 -1.70818 (267*2π)/9564 weeks
268.35885 -1.06386 (268*2π)/9564 weeks
2694.58988 -.40977 (269*2π)/9564 weeks
2703.6081 3.54398 (270*2π)/9564 weeks
271-1.59812 1.51485 (271*2π)/9564 weeks
2724.54929 -1.31603 (272*2π)/9564 weeks
273-.86278 3.77924 (273*2π)/9564 weeks
2743.95462 1.73543 (274*2π)/9563 weeks
275-1.98197 .51535 (275*2π)/9563 weeks
276-2.33136 2.87462 (276*2π)/9563 weeks
277.05243 -4.35358 (277*2π)/9563 weeks
278.64425 .06011 (278*2π)/9563 weeks
2791.37912 2.59648 (279*2π)/9563 weeks
280-.07318 -7.82335 (280*2π)/9563 weeks
2817.55966 -1.17399 (281*2π)/9563 weeks
2824.28274 .52412 (282*2π)/9563 weeks
2834.35162 .23585 (283*2π)/9563 weeks
2845.24922 .48432 (284*2π)/9563 weeks
2853.99174 6.93985 (285*2π)/9563 weeks
2861.26348 3.81473 (286*2π)/9563 weeks
2873.70675 2.17432 (287*2π)/9563 weeks
288-1.81228 3.86377 (288*2π)/9563 weeks
2892.07853 .80092 (289*2π)/9563 weeks
290.79907 1.41552 (290*2π)/9563 weeks
291-3.79181 2.26406 (291*2π)/9563 weeks
2921.19384 -1.12912 (292*2π)/9563 weeks
293.31018 -.1945 (293*2π)/9563 weeks
2942.79168 -1.69548 (294*2π)/9563 weeks
2952.93548 1.15019 (295*2π)/9563 weeks
2965.94457 -1.54239 (296*2π)/9563 weeks
297-2.03917 2.69938 (297*2π)/9563 weeks
2982.76626 .9512 (298*2π)/9563 weeks
299.78384 2.95941 (299*2π)/9563 weeks
300-.85501 -2.26452 (300*2π)/9563 weeks
3012.68211 1.1673 (301*2π)/9563 weeks
3021.02579 -2.6213 (302*2π)/9563 weeks
3035.52445 -2.66071 (303*2π)/9563 weeks
3042.03658 -1.15297 (304*2π)/9563 weeks
3052.50942 1.94568 (305*2π)/9563 weeks
3064.81493 .69829 (306*2π)/9563 weeks
3075.89716 1.91367 (307*2π)/9563 weeks
3083.17 3.60205 (308*2π)/9563 weeks
3091.76095 -2.35268 (309*2π)/9563 weeks
3101.38682 6.4012 (310*2π)/9563 weeks
3112.42025 1.80884 (311*2π)/9563 weeks
312-2.23043 -1.3392 (312*2π)/9563 weeks
3133.68466 .4773 (313*2π)/9563 weeks
3144.49868 2.38458 (314*2π)/9563 weeks
315-1.06218 -1.3247 (315*2π)/9563 weeks
3163.22574 .08221 (316*2π)/9563 weeks
3175.92384 -3.81299 (317*2π)/9563 weeks
3183.70818 4.14468 (318*2π)/9563 weeks
319-1.70873 6.358 (319*2π)/9563 weeks
3203.31139 -1.72989 (320*2π)/9563 weeks
3214.02824 2.89645 (321*2π)/9563 weeks
3221.96927 -.48868 (322*2π)/9563 weeks
323-2.08014 2.16826 (323*2π)/9563 weeks
3244.58251 .27526 (324*2π)/9563 weeks
325.35818 -.28366 (325*2π)/9563 weeks
3264.94243 -.85483 (326*2π)/9563 weeks
3273.73699 -1.32311 (327*2π)/9563 weeks
328-5.12185 5.98782 (328*2π)/9563 weeks
3296.0986 -3.46437 (329*2π)/9563 weeks
3307.10384 2.13172 (330*2π)/9563 weeks
3311.03066 -2.67068 (331*2π)/9563 weeks
3323.90609 3.12948 (332*2π)/9563 weeks
333-.44031 -1.59487 (333*2π)/9563 weeks
3345.23711 6.1732 (334*2π)/9563 weeks
3354.07872 -2.4341 (335*2π)/9563 weeks
3365.80944 .94367 (336*2π)/9563 weeks
337.38032 4.34946 (337*2π)/9563 weeks
3383.39208 -.38263 (338*2π)/9563 weeks
339.10719 6.31718 (339*2π)/9563 weeks
3405.75948 -2.04232 (340*2π)/9563 weeks
341-.01392 3.44014 (341*2π)/9563 weeks
342.02818 .12095 (342*2π)/9563 weeks
3433.68934 4.76084 (343*2π)/9563 weeks
3442.9919 -3.1175 (344*2π)/9563 weeks
3451.00548 1.72296 (345*2π)/9563 weeks
3461.53233 -1.19132 (346*2π)/9563 weeks
3474.25059 4.37892 (347*2π)/9563 weeks
3482.12545 .93056 (348*2π)/9563 weeks
3498.32715 -1.17918 (349*2π)/9563 weeks
350-1.55873 3.85687 (350*2π)/9563 weeks
3511.44817 3.48673 (351*2π)/9563 weeks
3523.58778 .66951 (352*2π)/9563 weeks
3533.52598 1.41634 (353*2π)/9563 weeks
354.61098 5.49166 (354*2π)/9563 weeks
3551.01164 -3.45791 (355*2π)/9563 weeks
3562.96936 5.98548 (356*2π)/9563 weeks
3574.34977 1.83168 (357*2π)/9563 weeks
3581.117 2.48963 (358*2π)/9563 weeks
359-1.34338 2.17337 (359*2π)/9563 weeks
360.85135 .29481 (360*2π)/9563 weeks
3612.99139 -.36023 (361*2π)/9563 weeks
3623.29993 2.49725 (362*2π)/9563 weeks
3631.78304 3.38097 (363*2π)/9563 weeks
364-.50995 3.62018 (364*2π)/9563 weeks
3653.02895 6.29646 (365*2π)/9563 weeks
366-4.18853 -.96903 (366*2π)/9563 weeks
3672.02112 .19127 (367*2π)/9563 weeks
368-1.4846 1.15368 (368*2π)/9563 weeks
369-4.31791 1.08013 (369*2π)/9563 weeks
370.81469 -1.49295 (370*2π)/9563 weeks
3714.5989 -1.17457 (371*2π)/9563 weeks
372-5.08208 .68803 (372*2π)/9563 weeks
373-.97415 -4.45089 (373*2π)/9563 weeks
3744.35139 -6.34242 (374*2π)/9563 weeks
3755.33344 -2.09589 (375*2π)/9563 weeks
3764.59589 .14531 (376*2π)/9563 weeks
3776.4046 -2.40044 (377*2π)/9563 weeks
3785.94705 3.90226 (378*2π)/9563 weeks
3794.81882 2.42594 (379*2π)/9563 weeks
3801.92634 -2.19457 (380*2π)/9563 weeks
3816.46317 5.48667 (381*2π)/9563 weeks
3821.39664 7.80087 (382*2π)/9563 weeks
3831.11279 4.42849 (383*2π)/9562 weeks
3842.62385 .24506 (384*2π)/9562 weeks
385-3.24256 6.27503 (385*2π)/9562 weeks
386-3.10063 1.38531 (386*2π)/9562 weeks
387.42889 .45537 (387*2π)/9562 weeks
388-2.38605 1.1504 (388*2π)/9562 weeks
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