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Fourier Analysis of CTIC (CTI BioPharma Corp.)


CTIC (CTI BioPharma Corp.) appears to have interesting cyclic behaviour every 79 weeks (2377.573*sine), 73 weeks (2235.055*cosine), and 69 weeks (1261.576*cosine).

CTIC (CTI BioPharma Corp.) has an average price of 6,911.78 (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 3/21/1997 to 11/28/2016 for CTIC (CTI BioPharma Corp.), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
06,911.776   0 
12,725.389 10,689.86 (1*2π)/10281,028 weeks
2-5,051.858 3,320.666 (2*2π)/1028514 weeks
3-2,751.825 -2,208.232 (3*2π)/1028343 weeks
41,669.052 -3,413.816 (4*2π)/1028257 weeks
54,875.103 -9.88985 (5*2π)/1028206 weeks
62,678.466 4,346.026 (6*2π)/1028171 weeks
7-1,451.896 3,379.259 (7*2π)/1028147 weeks
8-1,681.632 796.5141 (8*2π)/1028129 weeks
9-669.5642 -135.2208 (9*2π)/1028114 weeks
1063.68693 22.18674 (10*2π)/1028103 weeks
11423.5117 50.38793 (11*2π)/102893 weeks
121,126.578 965.4639 (12*2π)/102886 weeks
13-262.6635 2,377.573 (13*2π)/102879 weeks
14-2,235.055 934.3107 (14*2π)/102873 weeks
15-1,261.576 -1,148.238 (15*2π)/102869 weeks
16447.1938 -868.9777 (16*2π)/102864 weeks
17757.4784 374.6892 (17*2π)/102860 weeks
18-339.1306 1,068.436 (18*2π)/102857 weeks
19-1,229.049 -140.6417 (19*2π)/102854 weeks
20-60.79884 -1,034.301 (20*2π)/102851 weeks
21688.8141 -336.4627 (21*2π)/102849 weeks
22717.1053 294.5075 (22*2π)/102847 weeks
2393.59713 874.3876 (23*2π)/102845 weeks
24-657.1484 316.3577 (24*2π)/102843 weeks
25-393.871 -358.8503 (25*2π)/102841 weeks
2687.6993 -600.4739 (26*2π)/102840 weeks
27936.3615 -406.149 (27*2π)/102838 weeks
281,033.679 951.7074 (28*2π)/102837 weeks
29-455.1333 1,266.889 (29*2π)/102835 weeks
30-958.8682 100.6728 (30*2π)/102834 weeks
31-331.8634 -587.0692 (31*2π)/102833 weeks
32459.3149 -436.2978 (32*2π)/102832 weeks
33614.3824 298.7885 (33*2π)/102831 weeks
34124.503 585.3813 (34*2π)/102830 weeks
35-148.6908 528.4464 (35*2π)/102829 weeks
36-570.0225 337.9331 (36*2π)/102829 weeks
37-502.7663 -338.44 (37*2π)/102828 weeks
38101.334 -454.8064 (38*2π)/102827 weeks
39403.0817 -98.59438 (39*2π)/102826 weeks
40278.0847 286.1005 (40*2π)/102826 weeks
41-61.52824 292.2797 (41*2π)/102825 weeks
42-92.21608 76.11849 (42*2π)/102824 weeks
43-38.96592 105.9406 (43*2π)/102824 weeks
44-145.3044 -12.90232 (44*2π)/102823 weeks
4553.10522 -135.8715 (45*2π)/102823 weeks
46161.0471 -52.46918 (46*2π)/102822 weeks
47328.9131 78.58696 (47*2π)/102822 weeks
48161.2917 465.3023 (48*2π)/102821 weeks
49-305.1513 319.0435 (49*2π)/102821 weeks
50-236.5039 -91.68212 (50*2π)/102821 weeks
5157.70234 -104.469 (51*2π)/102820 weeks
52114.1357 124.4814 (52*2π)/102820 weeks
53-158.362 152.025 (53*2π)/102819 weeks
54-76.85912 -202.9393 (54*2π)/102819 weeks
55297.2338 1.31587 (55*2π)/102819 weeks
5654.5816 332.3439 (56*2π)/102818 weeks
57-238.5092 181.0609 (57*2π)/102818 weeks
58-287.2204 -93.11918 (58*2π)/102818 weeks
59-52.82132 -385.6962 (59*2π)/102817 weeks
60417.2226 -229.6169 (60*2π)/102817 weeks
61375.9666 235.928 (61*2π)/102817 weeks
62108.0067 351.9905 (62*2π)/102817 weeks
63-186.4678 365.3036 (63*2π)/102816 weeks
64-448.2845 -57.39845 (64*2π)/102816 weeks
65-30.0948 -500.6441 (65*2π)/102816 weeks
66554.1245 -243.5801 (66*2π)/102816 weeks
67550.9083 432.4399 (67*2π)/102815 weeks
68-105.8696 685.5528 (68*2π)/102815 weeks
69-548.3488 180.3739 (69*2π)/102815 weeks
70-276.7039 -335.7417 (70*2π)/102815 weeks
71194.7423 -324.9552 (71*2π)/102814 weeks
72438.509 56.43117 (72*2π)/102814 weeks
73117.9257 479.181 (73*2π)/102814 weeks
74-337.354 219.9074 (74*2π)/102814 weeks
75-194.1864 -156.1004 (75*2π)/102814 weeks
7680.61137 -135.2522 (76*2π)/102814 weeks
77120.2569 60.36347 (77*2π)/102813 weeks
78-35.83512 108.1493 (78*2π)/102813 weeks
79-76.38363 -40.64452 (79*2π)/102813 weeks
8043.44164 -83.58144 (80*2π)/102813 weeks
81116.9184 -51.45073 (81*2π)/102813 weeks
82194.3482 73.52074 (82*2π)/102813 weeks
8334.58028 225.1561 (83*2π)/102812 weeks
84-139.4257 74.40318 (84*2π)/102812 weeks
85-53.73188 -91.36448 (85*2π)/102812 weeks
86118.9981 -130.1587 (86*2π)/102812 weeks
87295.8662 96.88581 (87*2π)/102812 weeks
8814.00464 330.5663 (88*2π)/102812 weeks
89-150.0215 91.50095 (89*2π)/102812 weeks
90-72.04995 67.36377 (90*2π)/102811 weeks
91-162.0707 -38.53432 (91*2π)/102811 weeks
9230.41378 -159.7345 (92*2π)/102811 weeks
93117.9829 -21.89153 (93*2π)/102811 weeks
94129.6422 30.40158 (94*2π)/102811 weeks
9568.56404 213.463 (95*2π)/102811 weeks
96-251.8026 108.2624 (96*2π)/102811 weeks
97-123.0019 -268.438 (97*2π)/102811 weeks
98209.7345 -193.36 (98*2π)/102810 weeks
99251.6586 41.12024 (99*2π)/102810 weeks
10093.54747 180.2056 (100*2π)/102810 weeks
101-64.41839 45.16191 (101*2π)/102810 weeks
10269.55674 -77.02263 (102*2π)/102810 weeks
103146.6307 35.6321 (103*2π)/102810 weeks
10489.86847 65.17264 (104*2π)/102810 weeks
105105.5363 67.65356 (105*2π)/102810 weeks
10693.57641 105.9107 (106*2π)/102810 weeks
10759.87027 129.6015 (107*2π)/102810 weeks
10822.17603 118.209 (108*2π)/102810 weeks
1098.20882 109.7933 (109*2π)/10289 weeks
110-12.40262 94.55472 (110*2π)/10289 weeks
111-13.22943 68.29444 (111*2π)/10289 weeks
1121.82661 87.06496 (112*2π)/10289 weeks
113-81.72083 64.32117 (113*2π)/10289 weeks
1144.61092 -61.33898 (114*2π)/10289 weeks
115116.2306 75.24658 (115*2π)/10289 weeks
116-29.71034 167.4616 (116*2π)/10289 weeks
117-141.7103 48.85181 (117*2π)/10289 weeks
118-78.53232 -101.1262 (118*2π)/10289 weeks
11977.88544 -108.3076 (119*2π)/10289 weeks
120140.4993 -5.61155 (120*2π)/10289 weeks
121146.0732 73.1049 (121*2π)/10288 weeks
12281.40345 206.0213 (122*2π)/10288 weeks
123-146.3371 156.9396 (123*2π)/10288 weeks
124-110.8491 -88.02558 (124*2π)/10288 weeks
12569.20996 -99.12144 (125*2π)/10288 weeks
126173.0262 -22.15125 (126*2π)/10288 weeks
127196.1597 163.5883 (127*2π)/10288 weeks
128.42089 274.8759 (128*2π)/10288 weeks
129-164.1028 137.807 (129*2π)/10288 weeks
130-118.8491 -16.87805 (130*2π)/10288 weeks
131-10.33969 -57.62342 (131*2π)/10288 weeks
13266.97438 13.01098 (132*2π)/10288 weeks
13342.90779 67.66509 (133*2π)/10288 weeks
13422.55167 132.283 (134*2π)/10288 weeks
135-133.8475 125.2106 (135*2π)/10288 weeks
136-142.293 -61.36103 (136*2π)/10288 weeks
1371.96021 -94.1099 (137*2π)/10288 weeks
13836.92723 -32.44522 (138*2π)/10287 weeks
13953.07537 -18.35607 (139*2π)/10287 weeks
14046.71001 22.26482 (140*2π)/10287 weeks
14150.40477 4.71128 (141*2π)/10287 weeks
14271.47343 75.46026 (142*2π)/10287 weeks
143-41.32355 90.63451 (143*2π)/10287 weeks
144-58.99462 -41.51522 (144*2π)/10287 weeks
14577.79605 -81.02303 (145*2π)/10287 weeks
146166.5479 33.89676 (146*2π)/10287 weeks
14796.96819 190.8549 (147*2π)/10287 weeks
148-109.6461 155.8295 (148*2π)/10287 weeks
149-72.83873 -41.8441 (149*2π)/10287 weeks
15066.81867 11.7346 (150*2π)/10287 weeks
15116.38953 97.46781 (151*2π)/10287 weeks
152-47.4965 78.25926 (152*2π)/10287 weeks
153-69.92242 19.8918 (153*2π)/10287 weeks
154-20.24092 -29.62323 (154*2π)/10287 weeks
15529.48749 3.98657 (155*2π)/10287 weeks
15627.06302 42.77498 (156*2π)/10287 weeks
157-22.09297 93.27665 (157*2π)/10287 weeks
158-126.4127 12.01086 (158*2π)/10287 weeks
159-33.29192 -119.0627 (159*2π)/10286 weeks
16091.60283 -54.1155 (160*2π)/10286 weeks
16167.84928 38.67907 (161*2π)/10286 weeks
16219.29729 44.4835 (162*2π)/10286 weeks
163-5.0843 22.20253 (163*2π)/10286 weeks
16425.21071 -.95718 (164*2π)/10286 weeks
16521.95156 43.86309 (165*2π)/10286 weeks
166-26.14463 15.33107 (166*2π)/10286 weeks
1674.71149 -48.9085 (167*2π)/10286 weeks
168113.6531 -34.41851 (168*2π)/10286 weeks
169123.9752 125.2981 (169*2π)/10286 weeks
170-55.35105 163.0324 (170*2π)/10286 weeks
171-118.5133 11.63988 (171*2π)/10286 weeks
172-28.0498 -67.93736 (172*2π)/10286 weeks
17354.15266 -41.45671 (173*2π)/10286 weeks
17473.10044 24.80581 (174*2π)/10286 weeks
17539.13834 72.12562 (175*2π)/10286 weeks
176-21.10743 73.5336 (176*2π)/10286 weeks
177-53.07275 22.07796 (177*2π)/10286 weeks
178-26.48989 -27.4178 (178*2π)/10286 weeks
1798.89035 -26.74749 (179*2π)/10286 weeks
18029.43591 -43.86244 (180*2π)/10286 weeks
181109.2885 -5.60235 (181*2π)/10286 weeks
18261.28949 106 (182*2π)/10286 weeks
183-34.23237 61.84356 (183*2π)/10286 weeks
184-6.66899 12.95902 (184*2π)/10286 weeks
185-4.54893 19.4772 (185*2π)/10286 weeks
1866.04503 -8.02473 (186*2π)/10286 weeks
18743.30805 9.92648 (187*2π)/10285 weeks
18836.29714 40.49235 (188*2π)/10285 weeks
18920.10492 62.69717 (189*2π)/10285 weeks
190-23.75473 60.62107 (190*2π)/10285 weeks
191-38.88539 37.33682 (191*2π)/10285 weeks
192-79.64803 -7.93468 (192*2π)/10285 weeks
1932.52765 -113.322 (193*2π)/10285 weeks
194135.6061 -15.3265 (194*2π)/10285 weeks
19557.92467 112.5392 (195*2π)/10285 weeks
196-48.47294 83.14049 (196*2π)/10285 weeks
197-84.72467 4.35368 (197*2π)/10285 weeks
198-27.82092 -96.26537 (198*2π)/10285 weeks
19999.50791 -45.82441 (199*2π)/10285 weeks
20050.04711 48.9254 (200*2π)/10285 weeks
20113.52423 11.08855 (201*2π)/10285 weeks
20235.68325 -.48686 (202*2π)/10285 weeks
20376.37332 21.50939 (203*2π)/10285 weeks
20431.93689 118.1093 (204*2π)/10285 weeks
205-107.4853 41.60284 (205*2π)/10285 weeks
206-17.67794 -111.3379 (206*2π)/10285 weeks
207133.1326 -51.26951 (207*2π)/10285 weeks
208140.6778 98.92885 (208*2π)/10285 weeks
209-4.22637 177.6848 (209*2π)/10285 weeks
210-127.8356 61.1981 (210*2π)/10285 weeks
211-57.79341 -76.95657 (211*2π)/10285 weeks
21269.21385 -47.16339 (212*2π)/10285 weeks
21367.83211 50.76773 (213*2π)/10285 weeks
2141.35991 76.84121 (214*2π)/10285 weeks
215-51.31696 29.94084 (215*2π)/10285 weeks
216-15.42046 -31.3965 (216*2π)/10285 weeks
21733.34473 -13.50374 (217*2π)/10285 weeks
21841.12791 18.91856 (218*2π)/10285 weeks
21915.21764 50.99589 (219*2π)/10285 weeks
220-37.93048 19.09265 (220*2π)/10285 weeks
2216.13232 -50.84743 (221*2π)/10285 weeks
22283.20897 -6.2458 (222*2π)/10285 weeks
22365.23096 70.54951 (223*2π)/10285 weeks
224-12.19491 95.65932 (224*2π)/10285 weeks
225-69.55107 18.603 (225*2π)/10285 weeks
226-2.33509 -46.43439 (226*2π)/10285 weeks
22747.92751 -1.17062 (227*2π)/10285 weeks
22836.19976 19.70497 (228*2π)/10285 weeks
22946.36618 39.43919 (229*2π)/10284 weeks
23027.44688 77.02271 (230*2π)/10284 weeks
231-36.86605 103.919 (231*2π)/10284 weeks
232-128.843 21.57477 (232*2π)/10284 weeks
233-56.82151 -117.4048 (233*2π)/10284 weeks
23493.63178 -88.81169 (234*2π)/10284 weeks
235131.0774 38.7435 (235*2π)/10284 weeks
23641.69081 154.0594 (236*2π)/10284 weeks
237-140.6405 97.17113 (237*2π)/10284 weeks
238-112.5839 -112.0826 (238*2π)/10284 weeks
23972.32993 -124.5039 (239*2π)/10284 weeks
240139.2868 -2.32739 (240*2π)/10284 weeks
24194.33627 121.0091 (241*2π)/10284 weeks
242-68.80286 140.8639 (242*2π)/10284 weeks
243-126.8126 -25.39856 (243*2π)/10284 weeks
2442.61107 -102.2298 (244*2π)/10284 weeks
24589.86584 -31.20491 (245*2π)/10284 weeks
24680.2221 64.90582 (246*2π)/10284 weeks
247-31.66976 105.144 (247*2π)/10284 weeks
248-95.59101 -25.60046 (248*2π)/10284 weeks
24936.12037 -89.34625 (249*2π)/10284 weeks
250100.4484 17.46562 (250*2π)/10284 weeks
25123.57625 94.44604 (251*2π)/10284 weeks
252-58.14249 37.88779 (252*2π)/10284 weeks
253-20.87455 -25.54436 (253*2π)/10284 weeks
2547.83523 -11.52786 (254*2π)/10284 weeks
25517.10833 -21.74013 (255*2π)/10284 weeks
25654.84405 4.48309 (256*2π)/10284 weeks
25733.28933 47.02615 (257*2π)/10284 weeks
2582.13162 61.45135 (258*2π)/10284 weeks
259-62.656 46.62539 (259*2π)/10284 weeks
260-67.58659 -53.5345 (260*2π)/10284 weeks
26133.53796 -79.61124 (261*2π)/10284 weeks
26280.1919 -17.96851 (262*2π)/10284 weeks
26384.22021 58.62739 (263*2π)/10284 weeks
264-32.73309 115.3718 (264*2π)/10284 weeks
265-101.8546 -18.32109 (265*2π)/10284 weeks
266-5.25622 -75.6271 (266*2π)/10284 weeks
26739.93635 -51.87376 (267*2π)/10284 weeks
26885.72179 -18.28255 (268*2π)/10284 weeks
26965.08469 65.63798 (269*2π)/10284 weeks
270-10.40815 62.04515 (270*2π)/10284 weeks
271-38.81899 33.05713 (271*2π)/10284 weeks
272-63.35659 -41.46748 (272*2π)/10284 weeks
27343.70806 -99.13918 (273*2π)/10284 weeks
274111.3851 -3.13537 (274*2π)/10284 weeks
27569.5692 60.79148 (275*2π)/10284 weeks
27617.85661 91.13723 (276*2π)/10284 weeks
277-75.19439 53.51759 (277*2π)/10284 weeks
278-48.90321 -70.94311 (278*2π)/10284 weeks
27968.68365 -63.24394 (279*2π)/10284 weeks
28099.65137 22.683 (280*2π)/10284 weeks
28146.36958 103.6065 (281*2π)/10284 weeks
282-62.92643 70.33093 (282*2π)/10284 weeks
283-43.40935 -22.76167 (283*2π)/10284 weeks
2844.58182 -21.09512 (284*2π)/10284 weeks
28521.80694 -13.23358 (285*2π)/10284 weeks
28633.19373 18.22081 (286*2π)/10284 weeks
287-7.7516 28.25881 (287*2π)/10284 weeks
288.93018 -11.99304 (288*2π)/10284 weeks
28923.09866 25.50587 (289*2π)/10284 weeks
290-39.01235 19.80135 (290*2π)/10284 weeks
291-17.76211 -50.10824 (291*2π)/10284 weeks
29243.83678 -35.99511 (292*2π)/10284 weeks
29345.59908 8.49394 (293*2π)/10284 weeks
29419.49044 18.83121 (294*2π)/10283 weeks
29512.46286 6.62604 (295*2π)/10283 weeks
29611.21208 10.24139 (296*2π)/10283 weeks
297-.39893 -10.25441 (297*2π)/10283 weeks
29836.56577 -20.85033 (298*2π)/10283 weeks
29942.04712 13.39649 (299*2π)/10283 weeks
30031.14512 16.38102 (300*2π)/10283 weeks
30128.55819 32.72667 (301*2π)/10283 weeks
302-.49854 32.33767 (302*2π)/10283 weeks
303-2.63762 8.69459 (303*2π)/10283 weeks
3047.29354 10.42859 (304*2π)/10283 weeks
305-6.40008 11.50522 (305*2π)/10283 weeks
306-13.24468 -17.304 (306*2π)/10283 weeks
30729.88824 -43.993 (307*2π)/10283 weeks
30877.60316 9.40223 (308*2π)/10283 weeks
30928.28897 64.84277 (309*2π)/10283 weeks
310-22.34846 49.44597 (310*2π)/10283 weeks
311-69.09698 1.80391 (311*2π)/10283 weeks
312-23.05707 -108.7742 (312*2π)/10283 weeks
313129.1079 -82.27737 (313*2π)/10283 weeks
314145.5675 82.4354 (314*2π)/10283 weeks
315.7573 148.4357 (315*2π)/10283 weeks
316-107.1541 55.9282 (316*2π)/10283 weeks
317-83.15716 -80.67812 (317*2π)/10283 weeks
31855.45465 -120.1861 (318*2π)/10283 weeks
319148.5599 -20.8269 (319*2π)/10283 weeks
320119.5539 117.9844 (320*2π)/10283 weeks
321-43.53647 155.6127 (321*2π)/10283 weeks
322-117.0829 11.62605 (322*2π)/10283 weeks
323-33.95245 -66.44801 (323*2π)/10283 weeks
32428.7613 -60.57549 (324*2π)/10283 weeks
32592.52168 -21.19161 (325*2π)/10283 weeks
32677.56627 90.06174 (326*2π)/10283 weeks
327-47.4719 100.7932 (327*2π)/10283 weeks
328-90.17986 2.33091 (328*2π)/10283 weeks
329-43.75822 -80.07056 (329*2π)/10283 weeks
33071.31125 -76.28324 (330*2π)/10283 weeks
33181.28741 43.27271 (331*2π)/10283 weeks
332-11.28954 49.96084 (332*2π)/10283 weeks
333-23.42024 1.60986 (333*2π)/10283 weeks
334-16.30898 -37.83461 (334*2π)/10283 weeks
33557.13112 -54.55676 (335*2π)/10283 weeks
33681.79572 31.73007 (336*2π)/10283 weeks
33712.83482 63.49221 (337*2π)/10283 weeks
338-35.82478 24.45366 (338*2π)/10283 weeks
339-22.299 -46.51791 (339*2π)/10283 weeks
34067.54161 -52.7063 (340*2π)/10283 weeks
34187.94386 41.27877 (341*2π)/10283 weeks
34218.47843 69.91788 (342*2π)/10283 weeks
343-18.71277 51.68321 (343*2π)/10283 weeks
344-50.46788 3.14332 (344*2π)/10283 weeks
345.51548 -53.0825 (345*2π)/10283 weeks
34656.42382 -17.31496 (346*2π)/10283 weeks
34751.60218 24.05809 (347*2π)/10283 weeks
34828.97421 57.25047 (348*2π)/10283 weeks
349-30.65075 51.73666 (349*2π)/10283 weeks
350-43.49876 -5.97561 (350*2π)/10283 weeks
351-11.02112 -39.26397 (351*2π)/10283 weeks
35235.13774 -36.31673 (352*2π)/10283 weeks
35352.73854 8.79946 (353*2π)/10283 weeks
35416.32752 31.98803 (354*2π)/10283 weeks
3553.16475 7.12703 (355*2π)/10283 weeks
35612.9046 7.61684 (356*2π)/10283 weeks
3578.39141 5.6531 (357*2π)/10283 weeks
35813.15331 3.5776 (358*2π)/10283 weeks
35911.38584 9.81648 (359*2π)/10283 weeks
3601.26523 -.82841 (360*2π)/10283 weeks
36122.17621 -12.83586 (361*2π)/10283 weeks
36238.06591 9.23331 (362*2π)/10283 weeks
36323.99792 35.27388 (363*2π)/10283 weeks
364-5.54044 35.18684 (364*2π)/10283 weeks
365-28.86971 22.56534 (365*2π)/10283 weeks
366-46.8575 -29.15306 (366*2π)/10283 weeks
36720.37117 -74.40337 (367*2π)/10283 weeks
36877.72708 -16.47221 (368*2π)/10283 weeks
36954.95882 35.62654 (369*2π)/10283 weeks
37013.22497 67.97619 (370*2π)/10283 weeks
371-73.77806 30.27097 (371*2π)/10283 weeks
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