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Fourier Analysis of CTIC (CTI BioPharma Corp.)


CTIC (CTI BioPharma Corp.) appears to have interesting cyclic behaviour every 80 weeks (22944.01*sine), 74 weeks (20888.77*cosine), and 69 weeks (15585.28*cosine).

CTIC (CTI BioPharma Corp.) has an average price of 68,659.09 (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 2/13/2017 for CTIC (CTI BioPharma Corp.), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
068,659.09   0 
128,657.1 106,307 (1*2π)/10391,039 weeks
2-50,063.21 34,755.15 (2*2π)/1039520 weeks
3-28,489.95 -20,900.99 (3*2π)/1039346 weeks
414,605.96 -34,353.72 (4*2π)/1039260 weeks
547,873.09 -2,726.303 (5*2π)/1039208 weeks
629,527.46 41,661.89 (6*2π)/1039173 weeks
7-12,689.18 35,790.86 (7*2π)/1039148 weeks
8-17,383.37 9,351.734 (8*2π)/1039130 weeks
9-7,685.448 -1,000.834 (9*2π)/1039115 weeks
10303.1297 -89.7819 (10*2π)/1039104 weeks
113,407.001 472.5104 (11*2π)/103994 weeks
1210,960.96 7,470.61 (12*2π)/103987 weeks
13712.8409 22,944.01 (13*2π)/103980 weeks
14-20,888.77 13,025.2 (14*2π)/103974 weeks
15-15,585.28 -9,585.029 (15*2π)/103969 weeks
162,440.274 -10,329.54 (16*2π)/103965 weeks
178,023.49 1,476.741 (17*2π)/103961 weeks
18-495.536 10,584.73 (18*2π)/103958 weeks
19-12,166.83 2,050.767 (19*2π)/103955 weeks
20-3,724.363 -10,230.09 (20*2π)/103952 weeks
216,303.088 -5,053.791 (21*2π)/103949 weeks
227,261.513 1,366.166 (22*2π)/103947 weeks
233,316.267 8,028.195 (23*2π)/103945 weeks
24-5,640.074 5,406.039 (24*2π)/103943 weeks
25-5,110.439 -2,411.927 (25*2π)/103942 weeks
26-598.749 -5,412.792 (26*2π)/103940 weeks
276,595.685 -5,766.348 (27*2π)/103938 weeks
2812,156.5 5,072.677 (28*2π)/103937 weeks
29153.9383 14,066.04 (29*2π)/103936 weeks
30-9,752.885 4,780.071 (30*2π)/103935 weeks
31-5,843.639 -4,497.202 (31*2π)/103934 weeks
322,167.778 -5,805.387 (32*2π)/103932 weeks
336,680.989 379.8961 (33*2π)/103931 weeks
343,014.13 5,664.584 (34*2π)/103931 weeks
35-622.9542 5,285.857 (35*2π)/103930 weeks
36-3,925.992 4,839.933 (36*2π)/103929 weeks
37-6,418.464 -836.9168 (37*2π)/103928 weeks
38-1,307.754 -4,964.29 (38*2π)/103927 weeks
393,258.666 -2,669.63 (39*2π)/103927 weeks
403,812.984 1,457.074 (40*2π)/103926 weeks
41724.2433 3,460.112 (41*2π)/103925 weeks
42-1,254.09 1,559.592 (42*2π)/103925 weeks
43-304.9611 691.4893 (43*2π)/103924 weeks
44-1,143.261 871.7365 (44*2π)/103924 weeks
45-647.2374 -1,235.723 (45*2π)/103923 weeks
461,274.457 -825.3295 (46*2π)/103923 weeks
472,313.952 -286.5961 (47*2π)/103922 weeks
483,292.927 2,791.616 (48*2π)/103922 weeks
49-923.9266 4,820.917 (49*2π)/103921 weeks
50-3,439.532 963.9084 (50*2π)/103921 weeks
51-880.9105 -1,466.941 (51*2π)/103920 weeks
521,247.094 -134.5125 (52*2π)/103920 weeks
53163.8048 1,994.029 (53*2π)/103920 weeks
54-2,144.409 -25.1765 (54*2π)/103919 weeks
551,195.836 -2,089.918 (55*2π)/103919 weeks
562,629.187 1,896.94 (56*2π)/103919 weeks
57-949.8846 3,090.205 (57*2π)/103918 weeks
58-2,766.777 801.5025 (58*2π)/103918 weeks
59-2,459.821 -2,120.527 (59*2π)/103918 weeks
601,280.027 -4,060.558 (60*2π)/103917 weeks
614,753.827 -469.2111 (61*2π)/103917 weeks
622,696.343 3,057.491 (62*2π)/103917 weeks
63334.1478 3,678.904 (63*2π)/103916 weeks
64-3,126.931 2,881.567 (64*2π)/103916 weeks
65-3,885.274 -2,444.923 (65*2π)/103916 weeks
661,697.077 -4,966.061 (66*2π)/103916 weeks
676,314.523 -588.7552 (67*2π)/103916 weeks
684,045.899 5,793.484 (68*2π)/103915 weeks
69-2,855.311 6,020.519 (69*2π)/103915 weeks
70-5,346.672 96.03798 (70*2π)/103915 weeks
71-1,506.277 -3,777.806 (71*2π)/103915 weeks
722,794.214 -2,614.747 (72*2π)/103914 weeks
734,235.83 1,765.55 (73*2π)/103914 weeks
74-122.5814 4,829.68 (74*2π)/103914 weeks
75-3,493.638 1,171.158 (75*2π)/103914 weeks
76-1,319.155 -1,795.92 (76*2π)/103914 weeks
771,089.807 -1,013.258 (77*2π)/103913 weeks
78996.285 858.3405 (78*2π)/103913 weeks
79-585.2346 906.2224 (79*2π)/103913 weeks
80-606.3419 -596.6003 (80*2π)/103913 weeks
81555.0239 -779.5164 (81*2π)/103913 weeks
821,286.213 -450.1115 (82*2π)/103913 weeks
831,898.275 987.7687 (83*2π)/103913 weeks
8457.28647 2,220.189 (84*2π)/103912 weeks
85-1,393.875 510.9228 (85*2π)/103912 weeks
86-409.148 -980.7762 (86*2π)/103912 weeks
871,365.384 -1,253.517 (87*2π)/103912 weeks
882,915.014 1,226.805 (88*2π)/103912 weeks
89-87.25353 3,235.767 (89*2π)/103912 weeks
90-1,442.193 814.6794 (90*2π)/103912 weeks
91-740.2976 686.9225 (91*2π)/103911 weeks
92-1,600.946 -444.6345 (92*2π)/103911 weeks
93337.5415 -1,575.495 (93*2π)/103911 weeks
941,170.714 -212.7053 (94*2π)/103911 weeks
951,284.299 296.2447 (95*2π)/103911 weeks
96722.7478 2,093.718 (96*2π)/103911 weeks
97-2,446.212 1,176.936 (97*2π)/103911 weeks
98-1,363.504 -2,592.225 (98*2π)/103911 weeks
991,992.066 -2,034.344 (99*2π)/103910 weeks
1002,533.879 286.8542 (100*2π)/103910 weeks
1011,088.626 1,768.371 (101*2π)/103910 weeks
102-624.7452 627.278 (102*2π)/103910 weeks
103523.3792 -780.0338 (103*2π)/103910 weeks
1041,486.942 234.5548 (104*2π)/103910 weeks
105922.1974 674.829 (105*2π)/103910 weeks
1061,027.17 628.1829 (106*2π)/103910 weeks
107961.8308 1,013.275 (107*2π)/103910 weeks
108659.4062 1,266.633 (108*2π)/103910 weeks
109251.7314 1,206.572 (109*2π)/103910 weeks
110113.5436 1,096.828 (110*2π)/10399 weeks
111-95.78957 977.8665 (111*2π)/10399 weeks
112-159.4626 723.812 (112*2π)/10399 weeks
11348.27378 766.8213 (113*2π)/10399 weeks
114-642.9794 868.3044 (114*2π)/10399 weeks
115-363.3015 -501.6026 (115*2π)/10399 weeks
1161,162.145 291.601 (116*2π)/10399 weeks
117136.7002 1,674.803 (117*2π)/10399 weeks
118-1,281.623 886.5317 (118*2π)/10399 weeks
119-1,102.661 -700.0276 (119*2π)/10399 weeks
120383.1111 -1,233.47 (120*2π)/10399 weeks
1211,347.014 -336.4994 (121*2π)/10399 weeks
1221,419.722 481.022 (122*2π)/10399 weeks
1231,230.49 1,635.031 (123*2π)/10398 weeks
124-801.1666 2,115.443 (124*2π)/10398 weeks
125-1,620.311 -236.3118 (125*2π)/10398 weeks
126214.1958 -1,160.301 (126*2π)/10398 weeks
1271,364.835 -551.6086 (127*2π)/10398 weeks
1282,115.833 872.1374 (128*2π)/10398 weeks
129873.2413 2,614.301 (129*2π)/10398 weeks
130-1,263.478 2,080.609 (130*2π)/10398 weeks
131-1,515.842 280.1759 (131*2π)/10398 weeks
132-554.7405 -526.8768 (132*2π)/10398 weeks
133497.1439 -268.5319 (133*2π)/10398 weeks
134532.7519 556.3621 (134*2π)/10398 weeks
135418.3801 927.0257 (135*2π)/10398 weeks
136-574.1546 1,596.871 (136*2π)/10398 weeks
137-1,731.17 214.834 (137*2π)/10398 weeks
138-604.5446 -1,055.567 (138*2π)/10398 weeks
139348.8187 -554.4052 (139*2π)/10397 weeks
140389.0643 -262.2691 (140*2π)/10397 weeks
141600.1799 51.90053 (141*2π)/10397 weeks
142343.5145 148.1855 (142*2π)/10397 weeks
143758.5084 256.0329 (143*2π)/10397 weeks
144248.8724 1,061.54 (144*2π)/10397 weeks
145-748.1717 347.4589 (145*2π)/10397 weeks
146-41.72956 -823.3328 (146*2π)/10397 weeks
1471,309.48 -423.3628 (147*2π)/10397 weeks
1481,602.816 1,045.901 (148*2π)/10397 weeks
14986.74279 2,146.47 (149*2π)/10397 weeks
150-1,372.985 632.8527 (150*2π)/10397 weeks
15119.27092 -509.5517 (151*2π)/10397 weeks
152617.9287 600.2637 (152*2π)/10397 weeks
153-128.6715 965.0479 (153*2π)/10397 weeks
154-611.1169 602.1735 (154*2π)/10397 weeks
155-603.452 -48.20643 (155*2π)/10397 weeks
15645.62679 -253.9844 (156*2π)/10397 weeks
157302.0724 190.3697 (157*2π)/10397 weeks
158224.8355 583.7036 (158*2π)/10397 weeks
159-611.0823 903.2758 (159*2π)/10397 weeks
160-1,211.1 -409.7939 (160*2π)/10396 weeks
161157.4066 -1,175.558 (161*2π)/10396 weeks
162969.9525 -198.3665 (162*2π)/10396 weeks
163505.8085 460.2762 (163*2π)/10396 weeks
164114.8994 411.6413 (164*2π)/10396 weeks
165-42.90429 113.1747 (165*2π)/10396 weeks
166343.3641 75.07645 (166*2π)/10396 weeks
16780.06663 461.7396 (167*2π)/10396 weeks
168-269.954 3.24742 (168*2π)/10396 weeks
169229.1002 -569.0007 (169*2π)/10396 weeks
1701,320.304 -103.6718 (170*2π)/10396 weeks
171972.2209 1,510.946 (171*2π)/10396 weeks
172-825.3444 1,414.583 (172*2π)/10396 weeks
173-1,079.662 -113.1831 (173*2π)/10396 weeks
174-121.559 -685.6227 (174*2π)/10396 weeks
175610.8427 -322.479 (175*2π)/10396 weeks
176703.0819 327.9846 (176*2π)/10396 weeks
177321.2838 750.8133 (177*2π)/10396 weeks
178-272.5807 691.2245 (178*2π)/10396 weeks
179-526.2006 155.2053 (179*2π)/10396 weeks
180-218.0391 -292.8249 (180*2π)/10396 weeks
18196.84115 -261.1084 (181*2π)/10396 weeks
182337.5045 -452.6247 (182*2π)/10396 weeks
1831,114.116 18.02697 (183*2π)/10396 weeks
184542.1367 1,074.265 (184*2π)/10396 weeks
185-347.5363 576.8464 (185*2π)/10396 weeks
186-56.10729 129.7881 (186*2π)/10396 weeks
187-48.17619 190.6121 (187*2π)/10396 weeks
18863.95055 -81.40182 (188*2π)/10396 weeks
189430.1538 98.30225 (189*2π)/10395 weeks
190361.9601 400.0886 (190*2π)/10395 weeks
191206.8007 617.5375 (191*2π)/10395 weeks
192-224.6222 611.8849 (192*2π)/10395 weeks
193-378.2039 374.4529 (193*2π)/10395 weeks
194-777.2209 -22.48081 (194*2π)/10395 weeks
195-84.82961 -1,101.674 (195*2π)/10395 weeks
1961,317.967 -284.2056 (196*2π)/10395 weeks
197690.4708 1,076.301 (197*2π)/10395 weeks
198-416.9974 889.4055 (198*2π)/10395 weeks
199-827.1588 143.8859 (199*2π)/10395 weeks
200-423.4616 -873.8167 (200*2π)/10395 weeks
201903.0163 -625.5411 (201*2π)/10395 weeks
202628.0875 458.9459 (202*2π)/10395 weeks
203116.8666 168.4846 (203*2π)/10395 weeks
204318.8425 .20799 (204*2π)/10395 weeks
205683.238 110.0524 (205*2π)/10395 weeks
206546.9094 1,037.663 (206*2π)/10395 weeks
207-916.6254 749.0215 (207*2π)/10395 weeks
208-527.0648 -950.1093 (208*2π)/10395 weeks
2091,106.178 -772.3124 (209*2π)/10395 weeks
2101,519.265 647.7459 (210*2π)/10395 weeks
211381.4167 1,749.793 (211*2π)/10395 weeks
212-1,133.376 1,016.692 (212*2π)/10395 weeks
213-903.9827 -538.2798 (213*2π)/10395 weeks
214441.7573 -703.8374 (214*2π)/10395 weeks
215798.6426 288.7174 (215*2π)/10395 weeks
216211.1432 761.8145 (216*2π)/10395 weeks
217-416.8993 511.551 (217*2π)/10395 weeks
218-349.0207 -203.6304 (218*2π)/10395 weeks
219235.408 -239.5823 (219*2π)/10395 weeks
220405.92 81.89342 (220*2π)/10395 weeks
221299.8119 420.95 (221*2π)/10395 weeks
222-234.9676 414.9411 (222*2π)/10395 weeks
223-240.4558 -334.9871 (223*2π)/10395 weeks
224638.2179 -351.4414 (224*2π)/10395 weeks
225806.4017 450.3592 (225*2π)/10395 weeks
226232.5962 948.9467 (226*2π)/10395 weeks
227-593.6032 599.5953 (227*2π)/10395 weeks
228-402.6983 -341.1603 (228*2π)/10395 weeks
229393.0399 -258.6389 (229*2π)/10395 weeks
230394.6807 173.9379 (230*2π)/10395 weeks
231422.1974 252.4235 (231*2π)/10394 weeks
232398.7796 602.5165 (232*2π)/10394 weeks
23322.2239 949.8616 (233*2π)/10394 weeks
234-930.4579 807.3903 (234*2π)/10394 weeks
235-1,162.884 -603.2311 (235*2π)/10394 weeks
236258.2142 -1,256.381 (236*2π)/10394 weeks
2371,269.057 -282.9972 (237*2π)/10394 weeks
2381,058.802 1,001.513 (238*2π)/10394 weeks
239-471.3758 1,604.3 (239*2π)/10394 weeks
240-1,660.059 -38.82928 (240*2π)/10394 weeks
241-256.8098 -1,483.753 (241*2π)/10394 weeks
2421,178.332 -736.2377 (242*2π)/10394 weeks
2431,332.421 512.49 (243*2π)/10394 weeks
244350.9052 1,536.251 (244*2π)/10394 weeks
245-1,213.093 835.1935 (245*2π)/10394 weeks
246-844.2925 -791.9744 (246*2π)/10394 weeks
247486.5427 -835.6133 (247*2π)/10394 weeks
248959.5904 48.55519 (248*2π)/10394 weeks
249507.1124 937.9335 (249*2π)/10394 weeks
250-760.1406 747.1696 (250*2π)/10394 weeks
251-625.3494 -718.1961 (251*2π)/10394 weeks
252753.7036 -623.9263 (252*2π)/10394 weeks
253867.6919 529.0208 (253*2π)/10394 weeks
254-111.964 900.0209 (254*2π)/10394 weeks
255-565.7538 96.10484 (255*2π)/10394 weeks
256-55.08678 -246.9148 (256*2π)/10394 weeks
25768.14194 -107.6298 (257*2π)/10394 weeks
258282.8665 -222.5766 (258*2π)/10394 weeks
259545.0702 191.971 (259*2π)/10394 weeks
260251.7425 502.1533 (260*2π)/10394 weeks
261-94.67413 643.6298 (261*2π)/10394 weeks
262-750.3242 283.8983 (262*2π)/10394 weeks
263-492.8609 -709.6206 (263*2π)/10394 weeks
264499.3245 -684.1531 (264*2π)/10394 weeks
265828.5045 -63.80288 (265*2π)/10394 weeks
266742.2593 773.0991 (266*2π)/10394 weeks
267-591.2877 1,025.949 (267*2π)/10394 weeks
268-899.3547 -398.6373 (268*2π)/10394 weeks
26959.72993 -714.95 (269*2π)/10394 weeks
270447.3897 -496.9813 (270*2π)/10394 weeks
271894.2852 -80.24019 (271*2π)/10394 weeks
272546.8519 709.6796 (272*2π)/10394 weeks
273-145.3461 573.1827 (273*2π)/10394 weeks
274-425.5339 297.4122 (274*2π)/10394 weeks
275-593.6269 -510.6212 (275*2π)/10394 weeks
276537.9694 -951.1738 (276*2π)/10394 weeks
2771,095.401 38.23662 (277*2π)/10394 weeks
278666.2336 621.5926 (278*2π)/10394 weeks
279140.8922 914.876 (279*2π)/10394 weeks
280-770.2012 491.447 (280*2π)/10394 weeks
281-456.9626 -724.5419 (281*2π)/10394 weeks
282693.6549 -617.3364 (282*2π)/10394 weeks
283989.6165 228.6558 (283*2π)/10394 weeks
284467.8091 1,025.911 (284*2π)/10394 weeks
285-614.2465 716.9882 (285*2π)/10394 weeks
286-450.3878 -214.3087 (286*2π)/10394 weeks
28737.79382 -215.4877 (287*2π)/10394 weeks
288205.1903 -136.7274 (288*2π)/10394 weeks
289338.5168 156.0032 (289*2π)/10394 weeks
290-48.26865 302.0409 (290*2π)/10394 weeks
291-29.72371 -106.7405 (291*2π)/10394 weeks
292255.7151 202.7103 (292*2π)/10394 weeks
293-337.675 262.2567 (293*2π)/10394 weeks
294-251.7795 -451.7488 (294*2π)/10394 weeks
295388.3127 -412.8233 (295*2π)/10394 weeks
296479.5505 40.04737 (296*2π)/10394 weeks
297227.077 195.141 (297*2π)/10393 weeks
298116.6759 79.24142 (298*2π)/10393 weeks
299133.4892 93.64936 (299*2π)/10393 weeks
300-14.39526 -38.42994 (300*2π)/10393 weeks
301285.3629 -243.3237 (301*2π)/10393 weeks
302452.3891 83.18272 (302*2π)/10393 weeks
303305.9792 163.5527 (303*2π)/10393 weeks
304318.0117 277.3989 (304*2π)/10393 weeks
30555.76815 362.136 (305*2π)/10393 weeks
306-53.93255 128.5652 (306*2π)/10393 weeks
30767.87 78.90064 (307*2π)/10393 weeks
308-15.22176 138.2969 (308*2π)/10393 weeks
309-147.3481 -69.76674 (309*2π)/10393 weeks
310119.2218 -415.0073 (310*2π)/10393 weeks
311716.7895 -144.1015 (311*2π)/10393 weeks
312494.3247 574.4509 (312*2π)/10393 weeks
313-98.87743 557.0643 (313*2π)/10393 weeks
314-541.8423 264.7085 (314*2π)/10393 weeks
315-581.2629 -747.2686 (315*2π)/10393 weeks
316795.8942 -1,149.846 (316*2π)/10393 weeks
3171,636.435 225.8468 (317*2π)/10393 weeks
318598.3117 1,454.245 (318*2π)/10393 weeks
319-794.0253 1,016.729 (319*2π)/10393 weeks
320-1,094.577 -300.8126 (320*2π)/10393 weeks
321-43.88406 -1,239.108 (321*2π)/10393 weeks
3221,230.748 -707.1349 (322*2π)/10393 weeks
3231,484.025 598.187 (323*2π)/10393 weeks
324344.9971 1,649.116 (324*2π)/10393 weeks
325-1,115.279 827.8008 (325*2π)/10393 weeks
326-758.9369 -492.3262 (326*2π)/10393 weeks
32737.74492 -645.3511 (327*2π)/10393 weeks
328613.6254 -495.2088 (328*2π)/10393 weeks
3291,041.18 345.3496 (329*2π)/10393 weeks
330152.6393 1,172.263 (330*2π)/10393 weeks
331-835.587 537.1631 (331*2π)/10393 weeks
332-762.9443 -407.6172 (332*2π)/10393 weeks
33376.4865 -975.6033 (333*2π)/10393 weeks
3341,003.305 -216.9482 (334*2π)/10393 weeks
335351.4805 659.7723 (335*2π)/10393 weeks
336-243.6421 238.8963 (336*2π)/10393 weeks
337-227.8285 -114.1541 (337*2π)/10393 weeks
33863.63638 -571.3774 (338*2π)/10393 weeks
339837.3331 -243.2182 (339*2π)/10393 weeks
340565.815 564.9078 (340*2π)/10393 weeks
341-105.8759 534.2133 (341*2π)/10393 weeks
342-409.8974 -14.32567 (342*2π)/10393 weeks
34365.86739 -630.8405 (343*2π)/10393 weeks
344908.0209 -232.0162 (344*2π)/10393 weeks
345645.3358 637.5869 (345*2π)/10393 weeks
34632.69774 627.4954 (346*2π)/10393 weeks
347-317.2283 428.9231 (347*2π)/10393 weeks
348-444.7021 -213.9116 (348*2π)/10393 weeks
349244.0764 -498.778 (349*2π)/10393 weeks
350579.8052 -18.6664 (350*2π)/10393 weeks
351478.1092 324.7697 (351*2π)/10393 weeks
352143.0805 632.1237 (352*2π)/10393 weeks
353-411.5685 373.6584 (353*2π)/10393 weeks
354-371.1978 -173.6995 (354*2π)/10393 weeks
355-4.73772 -423.643 (355*2π)/10393 weeks
356437.7424 -283.303 (356*2π)/10393 weeks
357476.8954 187.7673 (357*2π)/10393 weeks
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