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Fourier Analysis of CTIC (CTI BioPharma Corp.)


CTIC (CTI BioPharma Corp.) appears to have interesting cyclic behaviour every 81 weeks (21767.9*sine), 75 weeks (19113.92*cosine), and 70 weeks (17648.46*cosine).

CTIC (CTI BioPharma Corp.) has an average price of 68,069.49 (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 4/17/2017 for CTIC (CTI BioPharma Corp.), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
068,069.49   0 
129,674.72 105,466.5 (1*2π)/10481,048 weeks
2-49,500.52 35,881.06 (2*2π)/1048524 weeks
3-29,152.18 -19,873.29 (3*2π)/1048349 weeks
412,900.45 -34,342.21 (4*2π)/1048262 weeks
546,901.15 -4,758.526 (5*2π)/1048210 weeks
631,507.78 39,915.18 (6*2π)/1048175 weeks
7-10,994.24 37,177.3 (7*2π)/1048150 weeks
8-17,727.31 10,519.55 (8*2π)/1048131 weeks
9-8,444.66 -637.4097 (9*2π)/1048116 weeks
10-30.21679 -361.5013 (10*2π)/1048105 weeks
112,839.701 511.9927 (11*2π)/104895 weeks
1210,427.29 5,882.489 (12*2π)/104887 weeks
133,135.467 21,767.9 (13*2π)/104881 weeks
14-19,113.92 15,658.32 (14*2π)/104875 weeks
15-17,648.46 -7,538.569 (15*2π)/104870 weeks
16502.6214 -11,355.16 (16*2π)/104866 weeks
178,019.177 -364.2155 (17*2π)/104862 weeks
181,639.51 9,912.667 (18*2π)/104858 weeks
19-11,247.34 4,634.107 (19*2π)/104855 weeks
20-6,208.977 -9,346.272 (20*2π)/104852 weeks
215,443.061 -6,480.701 (21*2π)/104850 weeks
227,171.389 237.9977 (22*2π)/104848 weeks
234,854.282 6,916.086 (23*2π)/104846 weeks
24-4,275.867 6,916.504 (24*2π)/104844 weeks
25-5,888.575 -1,137.437 (25*2π)/104842 weeks
26-1,610.112 -4,893.5 (26*2π)/104840 weeks
274,420.907 -6,259.911 (27*2π)/104839 weeks
2812,092.17 1,436.879 (28*2π)/104837 weeks
294,190.305 13,557.23 (29*2π)/104836 weeks
30-8,704.904 7,949.42 (30*2π)/104835 weeks
31-7,558.846 -2,768.773 (31*2π)/104834 weeks
32-52.02661 -6,219.777 (32*2π)/104833 weeks
336,210.148 -1,809.056 (33*2π)/104832 weeks
344,537.73 4,818.515 (34*2π)/104831 weeks
3577.55049 5,473.453 (35*2π)/104830 weeks
36-2,518.408 5,193.08 (36*2π)/104829 weeks
37-6,413.207 1,469.728 (37*2π)/104828 weeks
38-3,356.54 -4,442.123 (38*2π)/104828 weeks
392,143.652 -3,797.287 (39*2π)/104827 weeks
404,071.714 42.30443 (40*2π)/104826 weeks
411,995.11 3,242.833 (41*2π)/104826 weeks
42-989.9012 2,429.095 (42*2π)/104825 weeks
43-677.0629 616.9652 (43*2π)/104824 weeks
44-572.7209 1,100.878 (44*2π)/104824 weeks
45-1,331.764 -481.1061 (45*2π)/104823 weeks
46766.1855 -1,238.75 (46*2π)/104823 weeks
471,683.7 -489.3558 (47*2π)/104822 weeks
483,341.9 1,066.058 (48*2π)/104822 weeks
491,273.39 4,714.271 (49*2π)/104821 weeks
50-3,113.355 2,937.384 (50*2π)/104821 weeks
51-2,249.091 -962.7246 (51*2π)/104821 weeks
52584.1254 -1,017.269 (52*2π)/104820 weeks
531,138.968 1,199.512 (53*2π)/104820 weeks
54-1,479.335 1,573.633 (54*2π)/104819 weeks
55-961.2131 -1,892.354 (55*2π)/104819 weeks
562,848.992 -311.563 (56*2π)/104819 weeks
57890.6796 3,204.02 (57*2π)/104818 weeks
58-2,179.643 2,046.942 (58*2π)/104818 weeks
59-2,869.07 -541.9307 (59*2π)/104818 weeks
60-1,118.843 -3,504.023 (60*2π)/104817 weeks
613,534.485 -2,958.695 (61*2π)/104817 weeks
624,189.306 1,707.793 (62*2π)/104817 weeks
631,496.768 3,375.084 (63*2π)/104817 weeks
64-997.9055 3,769.824 (64*2π)/104816 weeks
65-4,296.238 858.8188 (65*2π)/104816 weeks
66-1,900.418 -4,362.441 (66*2π)/104816 weeks
674,195.048 -3,775.608 (67*2π)/104816 weeks
686,284.497 2,292.437 (68*2π)/104815 weeks
691,276.529 6,871.911 (69*2π)/104815 weeks
70-4,720.885 3,943.821 (70*2π)/104815 weeks
71-4,279.927 -2,034.783 (71*2π)/104815 weeks
72336.4849 -3,771.256 (72*2π)/104815 weeks
733,805.123 -1,288.905 (73*2π)/104814 weeks
743,243.601 3,521.892 (74*2π)/104814 weeks
75-2,006.99 4,045.78 (75*2π)/104814 weeks
76-3,094.763 -319.5719 (76*2π)/104814 weeks
77-306.4688 -1,839.677 (77*2π)/104814 weeks
781,348.341 -344.279 (78*2π)/104813 weeks
79504.0448 1,146.171 (79*2π)/104813 weeks
80-856.6946 450.2904 (80*2π)/104813 weeks
81-222.4501 -828.0656 (81*2π)/104813 weeks
82751.2952 -669.0999 (82*2π)/104813 weeks
831,563.869 -224.9154 (83*2π)/104813 weeks
841,627.241 1,547.509 (84*2π)/104812 weeks
85-584.28 1,970.382 (85*2π)/104812 weeks
86-1,271.335 -32.80291 (86*2π)/104812 weeks
87-46.63179 -1,138.27 (87*2π)/104812 weeks
881,930.492 -987.5458 (88*2π)/104812 weeks
892,581.24 2,086.837 (89*2π)/104812 weeks
90-853.123 2,833.312 (90*2π)/104812 weeks
91-1,154.52 504.8553 (91*2π)/104812 weeks
92-940.8802 719.4937 (92*2π)/104811 weeks
93-1,418.821 -902.7957 (93*2π)/104811 weeks
94721.8354 -1,357.961 (94*2π)/104811 weeks
951,106.032 -74.3689 (95*2π)/104811 weeks
961,369.581 495.5317 (96*2π)/104811 weeks
97252.5276 2,300.151 (97*2π)/104811 weeks
98-2,680.755 545.5165 (98*2π)/104811 weeks
99-782.5333 -2,810.004 (99*2π)/104811 weeks
1002,215.304 -1,684.886 (100*2π)/104810 weeks
1012,428.264 551.2885 (101*2π)/104810 weeks
102798.1483 1,779.931 (102*2π)/104810 weeks
103-633.4676 369.163 (103*2π)/104810 weeks
104712.4978 -753.8012 (104*2π)/104810 weeks
1051,445.435 346.8926 (105*2π)/104810 weeks
106889.8849 647.5654 (106*2π)/104810 weeks
1071,033.003 650.5792 (107*2π)/104810 weeks
108936.5211 1,025.659 (108*2π)/104810 weeks
109625.9861 1,266.036 (109*2π)/104810 weeks
110237.3515 1,184.491 (110*2π)/104810 weeks
111104.1564 1,085.998 (111*2π)/10489 weeks
112-101.2166 961.4801 (112*2π)/10489 weeks
113-154.886 709.8649 (113*2π)/10489 weeks
11447.40734 769.8963 (114*2π)/10489 weeks
115-649.2263 850.2096 (115*2π)/10489 weeks
116-353.7313 -500.5254 (116*2π)/10489 weeks
1171,150.389 279.785 (117*2π)/10489 weeks
118159.4206 1,656.761 (118*2π)/10489 weeks
119-1,254.418 911.6606 (119*2π)/10489 weeks
120-1,124.238 -653.1539 (120*2π)/10489 weeks
121319.3327 -1,235.623 (121*2π)/10489 weeks
1221,319.816 -384.1603 (122*2π)/10489 weeks
1231,402.555 436.635 (123*2π)/10489 weeks
1241,277.924 1,526.063 (124*2π)/10488 weeks
125-616.441 2,173.216 (125*2π)/10488 weeks
126-1,686.698 -32.05914 (126*2π)/10488 weeks
12758.74454 -1,176.481 (127*2π)/10488 weeks
1281,254.874 -618.7669 (128*2π)/10488 weeks
1292,083.908 648.0818 (129*2π)/10488 weeks
1301,116.007 2,477.506 (130*2π)/10488 weeks
131-1,056.885 2,259.75 (131*2π)/10488 weeks
132-1,584.679 476.7001 (132*2π)/10488 weeks
133-701.199 -468.8668 (133*2π)/10488 weeks
134370.282 -384.2156 (134*2π)/10488 weeks
135585.0735 472.3775 (135*2π)/10488 weeks
136420.5847 810.469 (136*2π)/10488 weeks
137-269.4856 1,566.317 (137*2π)/10488 weeks
138-1,680.628 586.7161 (138*2π)/10488 weeks
139-901.7054 -969.3237 (139*2π)/10488 weeks
140273.2505 -694.8502 (140*2π)/10487 weeks
141360.1124 -270.9783 (141*2π)/10487 weeks
142589.646 -59.12183 (142*2π)/10487 weeks
143370.0599 205.6232 (143*2π)/10487 weeks
144641.7395 107.659 (144*2π)/10487 weeks
145519.9235 936.8621 (145*2π)/10487 weeks
146-607.9535 674.9603 (146*2π)/10487 weeks
147-383.2208 -624.7915 (147*2π)/10487 weeks
148999.5928 -680.1093 (148*2π)/10487 weeks
1491,658.623 581.0256 (149*2π)/10487 weeks
150699.9312 2,013.503 (150*2π)/10487 weeks
151-1,225.454 1,294.744 (151*2π)/10487 weeks
152-535.316 -487.4581 (152*2π)/10487 weeks
153675.8918 222.1158 (153*2π)/10487 weeks
154111.5878 968.6451 (154*2π)/10487 weeks
155-485.7285 753.3864 (155*2π)/10487 weeks
156-686.2825 179.7305 (156*2π)/10487 weeks
157-196.5123 -291.911 (157*2π)/10487 weeks
158288.562 31.65625 (158*2π)/10487 weeks
159268.5763 407.6983 (159*2π)/10487 weeks
160-160.4348 904.2532 (160*2π)/10487 weeks
161-1,218.656 237.9346 (161*2π)/10487 weeks
162-478.8432 -1,131.749 (162*2π)/10486 weeks
163840.5521 -663.4384 (163*2π)/10486 weeks
164747.137 317.3129 (164*2π)/10486 weeks
165237.7022 452.6117 (165*2π)/10486 weeks
166-28.50787 281.3725 (166*2π)/10486 weeks
167157.4302 -30.49972 (167*2π)/10486 weeks
168312.8207 359.8412 (168*2π)/10486 weeks
169-202.0643 286.5835 (169*2π)/10486 weeks
170-111.2527 -349.066 (170*2π)/10486 weeks
171815.2863 -533.728 (171*2π)/10486 weeks
1721,439.62 752.8478 (172*2π)/10486 weeks
17315.61588 1,777.824 (173*2π)/10486 weeks
174-1,211.365 620.3317 (174*2π)/10486 weeks
175-625.7195 -553.2907 (175*2π)/10486 weeks
176299.0195 -581.0295 (176*2π)/10486 weeks
177730.3147 -1.53777 (177*2π)/10486 weeks
178561.9379 561.9807 (178*2π)/10486 weeks
17943.86852 794.8748 (179*2π)/10486 weeks
180-454.0469 473.7413 (180*2π)/10486 weeks
181-443.9821 -95.28978 (181*2π)/10486 weeks
182-25.40349 -310.4048 (182*2π)/10486 weeks
183128.2858 -295.5876 (183*2π)/10486 weeks
184673.8052 -437.4592 (184*2π)/10486 weeks
1851,095.734 544.9882 (185*2π)/10486 weeks
18640.59619 1,035.152 (186*2π)/10486 weeks
187-295.5265 273.5646 (187*2π)/10486 weeks
18813.74076 175.1915 (188*2π)/10486 weeks
189-77.38039 96.69255 (189*2π)/10486 weeks
190226.8426 -89.91205 (190*2π)/10486 weeks
191436.0705 236.6761 (191*2π)/10485 weeks
192320.7516 458.7564 (192*2π)/10485 weeks
19373.2704 675.4297 (193*2π)/10485 weeks
194-307.6159 501.1237 (194*2π)/10485 weeks
195-464.9283 339.2655 (195*2π)/10485 weeks
196-781.3412 -389.1561 (196*2π)/10485 weeks
197449.1997 -1,102.29 (197*2π)/10485 weeks
1981,333.24 234.1547 (198*2π)/10485 weeks
199302.3601 1,151.378 (199*2π)/10485 weeks
200-580.1611 693.2585 (200*2π)/10485 weeks
201-837.9244 -121.717 (201*2π)/10485 weeks
202-71.48189 -1,013.712 (202*2π)/10485 weeks
2031,023.368 -275.7562 (203*2π)/10485 weeks
204399.2765 478.0008 (204*2π)/10485 weeks
205149.3121 82.01041 (205*2π)/10485 weeks
206368.5076 -6.82268 (206*2π)/10485 weeks
207770.1751 248.8313 (207*2π)/10485 weeks
208270.693 1,179.426 (208*2π)/10485 weeks
209-1,064.23 388.3501 (209*2π)/10485 weeks
210-187.7801 -1,092.702 (210*2π)/10485 weeks
2111,287.979 -539.8499 (211*2π)/10485 weeks
2121,417.115 907.8369 (212*2π)/10485 weeks
21375.53691 1,758.404 (213*2π)/10485 weeks
214-1,227.246 745.4027 (214*2π)/10485 weeks
215-708.9125 -681.7766 (215*2π)/10485 weeks
216582.6832 -580.8166 (216*2π)/10485 weeks
217738.5913 398.9824 (217*2π)/10485 weeks
218122.9209 762.5403 (218*2π)/10485 weeks
219-460.0017 428.5572 (219*2π)/10485 weeks
220-281.0083 -251.4161 (220*2π)/10485 weeks
221269.6094 -205.7505 (221*2π)/10485 weeks
222405.347 109.9043 (222*2π)/10485 weeks
223266.9484 443.2317 (223*2π)/10485 weeks
224-271.9375 372.6999 (224*2π)/10485 weeks
225-192.1171 -375.4898 (225*2π)/10485 weeks
226672.6045 -309.183 (226*2π)/10485 weeks
227783.8662 482.5288 (227*2π)/10485 weeks
228195.6943 948.3471 (228*2π)/10485 weeks
229-605.1845 563.9618 (229*2π)/10485 weeks
230-378.7788 -352.2768 (230*2π)/10485 weeks
231396.4189 -247.1746 (231*2π)/10485 weeks
232390.0474 173.4154 (232*2π)/10485 weeks
233418.4362 250.0483 (233*2π)/10484 weeks
234397.3431 593.8557 (234*2π)/10484 weeks
23533.30094 936.0675 (235*2π)/10484 weeks
236-895.3573 822.7182 (236*2π)/10484 weeks
237-1,179.178 -545.474 (237*2π)/10484 weeks
238186.6863 -1,258.556 (238*2π)/10484 weeks
2391,237.978 -347.4475 (239*2π)/10484 weeks
2401,096.755 918.534 (240*2π)/10484 weeks
241-330.368 1,614.988 (241*2π)/10484 weeks
242-1,649.616 139.403 (242*2π)/10484 weeks
243-426.3027 -1,444.501 (243*2π)/10484 weeks
2441,095.324 -846.3931 (244*2π)/10484 weeks
2451,348.839 380.0837 (245*2π)/10484 weeks
246525.8881 1,460.841 (246*2π)/10484 weeks
247-1,082.478 1,024.164 (247*2π)/10484 weeks
248-997.7478 -642.4039 (248*2π)/10484 weeks
249336.6696 -912.2714 (249*2π)/10484 weeks
250939.6564 -90.6236 (250*2π)/10484 weeks
251643.8115 817.9867 (251*2π)/10484 weeks
252-566.7866 909.0466 (252*2π)/10484 weeks
253-811.8946 -505.9125 (253*2π)/10484 weeks
254555.1807 -781.15 (254*2π)/10484 weeks
255952.6183 326.3071 (255*2π)/10484 weeks
256103.4837 934.0538 (256*2π)/10484 weeks
257-583.1448 281.6521 (257*2π)/10484 weeks
258-161.8115 -256.8557 (258*2π)/10484 weeks
25975.76546 -108.5011 (259*2π)/10484 weeks
260182.5994 -217.9991 (260*2π)/10484 weeks
261542.0965 55.01212 (261*2π)/10484 weeks
262327.9426 463.0847 (262*2π)/10484 weeks
26328.73479 602.0563 (263*2π)/10484 weeks
264-591.6794 483.4651 (264*2π)/10484 weeks
265-702.8539 -472.1535 (265*2π)/10484 weeks
266259.1898 -813.7475 (266*2π)/10484 weeks
267772.4634 -233.2576 (267*2π)/10484 weeks
268860.735 462.8482 (268*2π)/10484 weeks
269-107.5317 1,173.698 (269*2π)/10484 weeks
270-1,056.74 52.47195 (270*2π)/10484 weeks
271-204.6247 -763.607 (271*2π)/10484 weeks
272333.7701 -539.016 (272*2π)/10484 weeks
273751.061 -310.455 (273*2π)/10484 weeks
274797.2979 490.3182 (274*2π)/10484 weeks
27528.21409 701.7642 (275*2π)/10484 weeks
276-295.9359 387.6349 (276*2π)/10484 weeks
277-645.6752 -105.1342 (277*2π)/10484 weeks
2789.11889 -984.7662 (278*2π)/10484 weeks
2791,058.677 -394.1639 (279*2π)/10484 weeks
280846.6434 468.0553 (280*2π)/10484 weeks
281405.5129 793.2271 (281*2π)/10484 weeks
282-405.6103 839.1836 (282*2π)/10484 weeks
283-816.9479 -257.7322 (283*2π)/10484 weeks
284250.1131 -849.0043 (284*2π)/10484 weeks
285948.143 -154.6509 (285*2π)/10484 weeks
286826.7748 696.7095 (286*2π)/10484 weeks
287-165.6366 1,058.444 (287*2π)/10484 weeks
288-695.6801 135.3848 (288*2π)/10484 weeks
289-125.3244 -284.6578 (289*2π)/10484 weeks
290113.4464 -163.004 (290*2π)/10484 weeks
291314.4899 -36.24997 (291*2π)/10484 weeks
292190.8431 317.6277 (292*2π)/10484 weeks
293-160.7742 97.14033 (293*2π)/10484 weeks
294195.3099 -68.71297 (294*2π)/10484 weeks
29526.22854 384.2885 (295*2π)/10484 weeks
296-452.2552 -79.27237 (296*2π)/10484 weeks
29763.45283 -545.736 (297*2π)/10484 weeks
298501.0943 -202.4262 (298*2π)/10484 weeks
299376.4351 154.7644 (299*2π)/10484 weeks
300143.0768 155.8241 (300*2π)/10483 weeks
301138.4673 58.09742 (301*2π)/10483 weeks
30266.97399 95.31531 (302*2π)/10483 weeks
30340.22178 -174.6936 (303*2π)/10483 weeks
304423.246 -143.299 (304*2π)/10483 weeks
305377.5073 158.8864 (305*2π)/10483 weeks
306315.0562 169.0209 (306*2π)/10483 weeks
307248.5807 347.8601 (307*2π)/10483 weeks
308-29.33158 289.9804 (308*2π)/10483 weeks
309-11.24615 73.71148 (309*2π)/10483 weeks
31069.00554 111.122 (310*2π)/10483 weeks
311-74.63133 103.8667 (311*2π)/10483 weeks
312-124.0143 -188.3501 (312*2π)/10483 weeks
313312.2424 -431.5928 (313*2π)/10483 weeks
314764.2981 99.00498 (314*2π)/10483 weeks
315286.4776 637.7089 (315*2π)/10483 weeks
316-208.1426 493.2624 (316*2π)/10483 weeks
317-663.1041 62.73447 (317*2π)/10483 weeks
318-313.6689 -1,015.187 (318*2π)/10483 weeks
3191,162.881 -915.2867 (319*2π)/10483 weeks
3201,517.755 645.7905 (320*2π)/10483 weeks
321205.5099 1,483.501 (321*2π)/10483 weeks
322-973.4269 736.8369 (322*2π)/10483 weeks
323-958.8405 -596.8209 (323*2π)/10483 weeks
324279.8156 -1,238.088 (324*2π)/10483 weeks
3251,366.666 -460.4475 (325*2π)/10483 weeks
3261,368.135 870.7289 (326*2π)/10483 weeks
327-2.52203 1,645.921 (327*2π)/10483 weeks
328-1,178.491 523.634 (328*2π)/10483 weeks
329-587.2452 -582.7454 (329*2π)/10483 weeks
330126.248 -624.4472 (330*2π)/10483 weeks
331714.2574 -423.4057 (331*2π)/10483 weeks
332992.7004 519.8212 (332*2π)/10483 weeks
333-35.9034 1,156.861 (333*2π)/10483 weeks
334-869.5679 396.8283 (334*2π)/10483 weeks
335-699.1691 -502.9083 (335*2π)/10483 weeks
336216.5904 -962.5861 (336*2π)/10483 weeks
3371,001.609 -75.91077 (337*2π)/10483 weeks
338249.3249 654.5702 (338*2π)/10483 weeks
339-246.3067 192.2248 (339*2π)/10483 weeks
340-225.4718 -141.9641 (340*2π)/10483 weeks
341117.279 -586.6556 (341*2π)/10483 weeks
342852.0098 -182.9284 (342*2π)/10483 weeks
343521.6033 580.1693 (343*2π)/10483 weeks
344-128.3543 513.7156 (344*2π)/10483 weeks
345-405.6929 -41.1511 (345*2π)/10483 weeks
34691.22549 -632.3428 (346*2π)/10483 weeks
347908.4631 -210.7424 (347*2π)/10483 weeks
348631.2453 637.0034 (348*2π)/10483 weeks
34931.40134 621.5313 (349*2π)/10483 weeks
350-312.1621 427.2126 (350*2π)/10483 weeks
351-445.8835 -201.5962 (351*2π)/10483 weeks
352225.5916 -500.0381 (352*2π)/10483 weeks
353575.1556 -33.40564 (353*2π)/10483 weeks
354479.1866 309.665 (354*2π)/10483 weeks
355169.8233 618.8796 (355*2π)/10483 weeks
356-389.5728 403.0265 (356*2π)/10483 weeks
357-385.5154 -145.1583 (357*2π)/10483 weeks
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784-591.6794 -483.4651 (784*2π)/10481 weeks
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806-1,649.616 -139.403 (806*2π)/10481 weeks
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8081,096.755 -918.534 (808*2π)/10481 weeks
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894111.5878 -968.6451