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Fourier Analysis of XOMA (XOMA Corporation)


XOMA (XOMA Corporation) appears to have interesting cyclic behaviour every 179 weeks (420.778*sine), 128 weeks (273.0537*sine), and 149 weeks (262.1418*sine).

XOMA (XOMA Corporation) has an average price of 1,684.37 (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 6/6/1986 to 9/14/2020 for XOMA (XOMA Corporation), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
01,684.374   0 
1746.2668 1,640.37 (1*2π)/17901,790 weeks
2606.4789 1,186 (2*2π)/1790895 weeks
3-452.9108 1,131.183 (3*2π)/1790597 weeks
4-493.8965 122.9105 (4*2π)/1790448 weeks
5-106.3646 51.73963 (5*2π)/1790358 weeks
6235.7496 -202.4237 (6*2π)/1790298 weeks
7349.9679 345.3355 (7*2π)/1790256 weeks
858.41099 387.3366 (8*2π)/1790224 weeks
932.96486 184.306 (9*2π)/1790199 weeks
10.52471 420.778 (10*2π)/1790179 weeks
11-96.40638 58.63912 (11*2π)/1790163 weeks
1242.49081 262.1418 (12*2π)/1790149 weeks
13-57.53483 144.3596 (13*2π)/1790138 weeks
143.2153 273.0537 (14*2π)/1790128 weeks
15-218.3896 164.7726 (15*2π)/1790119 weeks
16-107.4573 131.5079 (16*2π)/1790112 weeks
17-191.5302 -17.87221 (17*2π)/1790105 weeks
18-28.16579 40.65031 (18*2π)/179099 weeks
19-97.42081 13.66779 (19*2π)/179094 weeks
20-45.62005 .02818 (20*2π)/179090 weeks
21-22.01192 9.90083 (21*2π)/179085 weeks
22-53.69945 50.50281 (22*2π)/179081 weeks
23-58.44967 -31.83202 (23*2π)/179078 weeks
24-24.93372 28.38328 (24*2π)/179075 weeks
25-90.54025 -14.9714 (25*2π)/179072 weeks
26-46.83137 -104.4798 (26*2π)/179069 weeks
2729.93552 -106.5036 (27*2π)/179066 weeks
2874.62138 -56.08062 (28*2π)/179064 weeks
29100.7785 -30.76405 (29*2π)/179062 weeks
3062.17061 41.05651 (30*2π)/179060 weeks
3147.67286 1.22004 (31*2π)/179058 weeks
3218.15898 24.47225 (32*2π)/179056 weeks
3337.58228 -62.90469 (33*2π)/179054 weeks
34104.3837 -13.55881 (34*2π)/179053 weeks
35125.5173 -4.32261 (35*2π)/179051 weeks
36134.1619 97.71973 (36*2π)/179050 weeks
3756.72194 115.491 (37*2π)/179048 weeks
38-3.52815 116.2621 (38*2π)/179047 weeks
39-68.49721 15.43999 (39*2π)/179046 weeks
4035.01645 -40.31509 (40*2π)/179045 weeks
4187.91902 -35.81639 (41*2π)/179044 weeks
42139.9961 60.51476 (42*2π)/179043 weeks
4389.36078 127.1254 (43*2π)/179042 weeks
44-.15702 112.331 (44*2π)/179041 weeks
45-.92692 83.84136 (45*2π)/179040 weeks
46-29.87184 74.82054 (46*2π)/179039 weeks
47-24.56653 -51.17861 (47*2π)/179038 weeks
48123.8185 50.37275 (48*2π)/179037 weeks
495.09342 60.18512 (49*2π)/179037 weeks
5099.7119 89.56583 (50*2π)/179036 weeks
51-46.94676 128.4127 (51*2π)/179035 weeks
5234.06078 33.01997 (52*2π)/179034 weeks
53-57.64368 149.306 (53*2π)/179034 weeks
54-48.48219 -44.41649 (54*2π)/179033 weeks
5538.49401 93.0489 (55*2π)/179033 weeks
56-91.29832 20.82326 (56*2π)/179032 weeks
5766.98813 -11.87456 (57*2π)/179031 weeks
58-25.59675 89.51911 (58*2π)/179031 weeks
591.38012 -5.26107 (59*2π)/179030 weeks
6020.02608 59.98454 (60*2π)/179030 weeks
61-5.98099 56.23895 (61*2π)/179029 weeks
62-17.19842 54.90435 (62*2π)/179029 weeks
63-30.00209 51.70972 (63*2π)/179028 weeks
64-43.68252 32.10722 (64*2π)/179028 weeks
65-29.95133 1.5398 (65*2π)/179028 weeks
66-15.93508 25.55987 (66*2π)/179027 weeks
67-11.53445 -9.52848 (67*2π)/179027 weeks
6812.20767 55.55049 (68*2π)/179026 weeks
69-69.27545 29.23098 (69*2π)/179026 weeks
70-22.17226 -9.15302 (70*2π)/179026 weeks
71-57.52702 3.81208 (71*2π)/179025 weeks
72-2.63991 -56.97686 (72*2π)/179025 weeks
73-.64443 -9.80392 (73*2π)/179025 weeks
7410.14385 -31.34307 (74*2π)/179024 weeks
7527.1003 -11.13205 (75*2π)/179024 weeks
76-3.54738 -5.03943 (76*2π)/179024 weeks
7752.36743 -35.15555 (77*2π)/179023 weeks
7831.15255 20.75356 (78*2π)/179023 weeks
7939.8102 -7.38755 (79*2π)/179023 weeks
8034.24981 39.84534 (80*2π)/179022 weeks
815.99645 -5.07585 (81*2π)/179022 weeks
8246.65371 23.41854 (82*2π)/179022 weeks
8326.48489 13.88337 (83*2π)/179022 weeks
8432.25268 18.89374 (84*2π)/179021 weeks
8548.35062 41.30211 (85*2π)/179021 weeks
8618.30798 38.71828 (86*2π)/179021 weeks
8725.03976 55.40721 (87*2π)/179021 weeks
88-9.28765 47.41095 (88*2π)/179020 weeks
8911.14011 23.92742 (89*2π)/179020 weeks
90-10.68429 48.41952 (90*2π)/179020 weeks
913.27778 12.34699 (91*2π)/179020 weeks
92-.28388 38.25074 (92*2π)/179019 weeks
937.09227 17.09191 (93*2π)/179019 weeks
944.06342 44.53608 (94*2π)/179019 weeks
95-16.063 25.21019 (95*2π)/179019 weeks
961.02434 31.31775 (96*2π)/179019 weeks
97-17.02943 37.26341 (97*2π)/179018 weeks
98-35.69537 22.91646 (98*2π)/179018 weeks
99-22.54688 -10.75619 (99*2π)/179018 weeks
1003.47502 -.1205 (100*2π)/179018 weeks
101-11.40085 9.18116 (101*2π)/179018 weeks
102.80557 -18.05187 (102*2π)/179018 weeks
10331.73429 24.91716 (103*2π)/179017 weeks
104-23.60705 16.59673 (104*2π)/179017 weeks
1054.88803 4.19362 (105*2π)/179017 weeks
106-18.4556 .38112 (106*2π)/179017 weeks
10726.48003 -26.9428 (107*2π)/179017 weeks
10817.19689 37.84089 (108*2π)/179017 weeks
109-.2891 -9.93896 (109*2π)/179016 weeks
11025.91433 23.49395 (110*2π)/179016 weeks
111-10.95787 22.44908 (111*2π)/179016 weeks
1121.72465 -4.93363 (112*2π)/179016 weeks
113-.57351 7.31995 (113*2π)/179016 weeks
11419.28199 -18.90021 (114*2π)/179016 weeks
11533.49002 17.25325 (115*2π)/179016 weeks
11614.16737 21.5611 (116*2π)/179015 weeks
11725.44553 22.1228 (117*2π)/179015 weeks
118-12.32652 47.7666 (118*2π)/179015 weeks
119-9.77944 -10.87392 (119*2π)/179015 weeks
1208.32692 13.55551 (120*2π)/179015 weeks
1213.51532 .44915 (121*2π)/179015 weeks
12222.43454 13.77184 (122*2π)/179015 weeks
123-9.9598 15.65455 (123*2π)/179015 weeks
12423.18081 -3.74197 (124*2π)/179014 weeks
12515.26905 24.08867 (125*2π)/179014 weeks
1263.58898 10.94852 (126*2π)/179014 weeks
12720.11605 19.86632 (127*2π)/179014 weeks
128-10.30994 28.94195 (128*2π)/179014 weeks
129-7.02468 -3.21738 (129*2π)/179014 weeks
1308.82546 -2.22468 (130*2π)/179014 weeks
13121.4851 -1.26475 (131*2π)/179014 weeks
13225.19427 9.84723 (132*2π)/179014 weeks
13326.3412 25.7841 (133*2π)/179013 weeks
1345.47454 28.76419 (134*2π)/179013 weeks
1357.34998 20.85611 (135*2π)/179013 weeks
136-3.65804 10.9585 (136*2π)/179013 weeks
13731.9905 5.94411 (137*2π)/179013 weeks
13819.98695 44.00138 (138*2π)/179013 weeks
139-1.85142 32.64549 (139*2π)/179013 weeks
140-3.83237 38.72348 (140*2π)/179013 weeks
141-26.47172 21.05336 (141*2π)/179013 weeks
142-9.88887 8.57966 (142*2π)/179013 weeks
143-9.23283 -3.28577 (143*2π)/179013 weeks
14413.16982 8.92349 (144*2π)/179012 weeks
145-2.43369 15.12228 (145*2π)/179012 weeks
1462.71993 10.52458 (146*2π)/179012 weeks
147-.36623 11.45477 (147*2π)/179012 weeks
148-2.72624 18.0757 (148*2π)/179012 weeks
149-3.91711 -9.56921 (149*2π)/179012 weeks
15018.08281 21.22228 (150*2π)/179012 weeks
151-9.48772 13.63316 (151*2π)/179012 weeks
1522.43024 3.96639 (152*2π)/179012 weeks
153.28482 12.0183 (153*2π)/179012 weeks
1543.14923 4.83843 (154*2π)/179012 weeks
155-1.84656 11.55838 (155*2π)/179012 weeks
156.11938 -2.19373 (156*2π)/179011 weeks
15715.45353 7.6767 (157*2π)/179011 weeks
158-3.14912 17.54503 (158*2π)/179011 weeks
1596.21747 -3.76948 (159*2π)/179011 weeks
1603.6674 11.62201 (160*2π)/179011 weeks
16111.65205 4.4577 (161*2π)/179011 weeks
1621.51471 18.23927 (162*2π)/179011 weeks
163-1.32572 6.06521 (163*2π)/179011 weeks
164-.48478 5.66942 (164*2π)/179011 weeks
165.8947 -8.52546 (165*2π)/179011 weeks
16620.9757 2.11425 (166*2π)/179011 weeks
16716.52767 10.83125 (167*2π)/179011 weeks
1687.39416 22.07456 (168*2π)/179011 weeks
169-4.3623 15.31149 (169*2π)/179011 weeks
170-11.22564 -5.22226 (170*2π)/179011 weeks
17115.10373 -10.65704 (171*2π)/179010 weeks
17218.88892 -5.48893 (172*2π)/179010 weeks
17337.25655 5.74153 (173*2π)/179010 weeks
17419.43835 32.40258 (174*2π)/179010 weeks
17513.80499 18.44942 (175*2π)/179010 weeks
176-.67293 39.7666 (176*2π)/179010 weeks
177-11.61743 2.29745 (177*2π)/179010 weeks
1785.04535 8.87952 (178*2π)/179010 weeks
179.42758 -.25312 (179*2π)/179010 weeks
18018.18488 5.06883 (180*2π)/179010 weeks
1816.57482 5.92096 (181*2π)/179010 weeks
18229.22279 7.64023 (182*2π)/179010 weeks
18317.48862 28.38475 (183*2π)/179010 weeks
18411.99971 20.64577 (184*2π)/179010 weeks
1859.97906 37.70213 (185*2π)/179010 weeks
186-20.60287 26.77216 (186*2π)/179010 weeks
187-8.29824 3.38041 (187*2π)/179010 weeks
188-3.79533 -.93112 (188*2π)/179010 weeks
18921.88248 -4.65931 (189*2π)/17909 weeks
19024.77358 24.82386 (190*2π)/17909 weeks
1918.47657 33.92839 (191*2π)/17909 weeks
192-9.37293 32.3138 (192*2π)/17909 weeks
193-18.49097 10.83391 (193*2π)/17909 weeks
194-4.51042 1.71358 (194*2π)/17909 weeks
1958.49364 -1.19485 (195*2π)/17909 weeks
19613.99139 17.58585 (196*2π)/17909 weeks
1979.85389 21.45203 (197*2π)/17909 weeks
198-3.98096 30.51217 (198*2π)/17909 weeks
199-14.28041 15.33372 (199*2π)/17909 weeks
200-12.12231 8.95602 (200*2π)/17909 weeks
201-1.53136 -1.52773 (201*2π)/17909 weeks
2028.34812 12.94259 (202*2π)/17909 weeks
203-7.31779 13.79636 (203*2π)/17909 weeks
2042.19478 8.45134 (204*2π)/17909 weeks
205-9.69789 14.59516 (205*2π)/17909 weeks
206-5.39684 -5.70719 (206*2π)/17909 weeks
20711.97643 9.18863 (207*2π)/17909 weeks
208-8.46007 8.21862 (208*2π)/17909 weeks
20912.85285 6.82855 (209*2π)/17909 weeks
210-8.92822 17.23174 (210*2π)/17909 weeks
211-3.20618 -5.0784 (211*2π)/17908 weeks
21212.10317 9.65857 (212*2π)/17908 weeks
213-1.69835 9.30735 (213*2π)/17908 weeks
2143.11222 12.52773 (214*2π)/17908 weeks
215-4.4904 9.2151 (215*2π)/17908 weeks
216-1.45668 2.60245 (216*2π)/17908 weeks
217-1.44673 5.37521 (217*2π)/17908 weeks
2188.55318 -4.04772 (218*2π)/17908 weeks
21911.96825 14.59795 (219*2π)/17908 weeks
2201.61332 11.8476 (220*2π)/17908 weeks
2214.14691 13.25631 (221*2π)/17908 weeks
222-6.45077 13.17436 (222*2π)/17908 weeks
2232.83692 5.42307 (223*2π)/17908 weeks
224-4.72612 11.13717 (224*2π)/17908 weeks
2253.28259 5.5418 (225*2π)/17908 weeks
226-8.04699 10.12337 (226*2π)/17908 weeks
227-1.297 -4.13851 (227*2π)/17908 weeks
2283.48191 9.18851 (228*2π)/17908 weeks
229-3.89155 -5.05974 (229*2π)/17908 weeks
23013.39761 2.81436 (230*2π)/17908 weeks
2312.8674 3.84104 (231*2π)/17908 weeks
23213.71273 .4652 (232*2π)/17908 weeks
2338.27961 13.25153 (233*2π)/17908 weeks
23415.2143 3.95698 (234*2π)/17908 weeks
23513.79733 24.55773 (235*2π)/17908 weeks
236-.20488 21.76369 (236*2π)/17908 weeks
237-2.33927 20.40232 (237*2π)/17908 weeks
238-13.37825 11.71205 (238*2π)/17908 weeks
239-6.14311 2.22739 (239*2π)/17907 weeks
2404.50884 -3.31762 (240*2π)/17907 weeks
24114.79394 9.44364 (241*2π)/17907 weeks
24212.12774 19.89093 (242*2π)/17907 weeks
2434.80327 36.72058 (243*2π)/17907 weeks
244-33.59018 31.76263 (244*2π)/17907 weeks
245-24.83909 -7.37002 (245*2π)/17907 weeks
246-15.54005 -1.49124 (246*2π)/17907 weeks
247.72272 -18.11389 (247*2π)/17907 weeks
24812.06591 13.86164 (248*2π)/17907 weeks
249-11.68019 8.94144 (249*2π)/17907 weeks
250-5.72606 8.27946 (250*2π)/17907 weeks
251-20.44878 -.63873 (251*2π)/17907 weeks
252-5.46552 -13.75162 (252*2π)/17907 weeks
253-1.35063 -8.70618 (253*2π)/17907 weeks
2547.26948 -9.29762 (254*2π)/17907 weeks
2558.62712 2.52364 (255*2π)/17907 weeks
256-4.67161 -.63211 (256*2π)/17907 weeks
2577.17608 -8.53213 (257*2π)/17907 weeks
2589.70979 -2.69288 (258*2π)/17907 weeks
2597.22537 -2.423 (259*2π)/17907 weeks
26018.66171 5.72957 (260*2π)/17907 weeks
261.42133 6.75116 (261*2π)/17907 weeks
26211.05286 5.51377 (262*2π)/17907 weeks
263-.70011 10.45607 (263*2π)/17907 weeks
2641.26378 -8.56641 (264*2π)/17907 weeks
26513.77809 9.59781 (265*2π)/17907 weeks
2663.05298 -3.29635 (266*2π)/17907 weeks
26716.61505 10.82586 (267*2π)/17907 weeks
2681.36057 9.90939 (268*2π)/17907 weeks
2699.47803 7.06389 (269*2π)/17907 weeks
270-4.18115 14.98735 (270*2π)/17907 weeks
271.54251 -3.47851 (271*2π)/17907 weeks
2727.01073 4.50869 (272*2π)/17907 weeks
2733.66578 1.85676 (273*2π)/17907 weeks
27413.41223 4.52068 (274*2π)/17907 weeks
2754.24878 10.17082 (275*2π)/17907 weeks
27613.21663 10.8295 (276*2π)/17906 weeks
277-1.2647 21.07864 (277*2π)/17906 weeks
278-6.26783 5.2161 (278*2π)/17906 weeks
279-2.33563 9.42841 (279*2π)/17906 weeks
280-8.88459 .06725 (280*2π)/17906 weeks
2813.08668 -8.1488 (281*2π)/17906 weeks
28211.61166 2.21824 (282*2π)/17906 weeks
2839.35868 3.80179 (283*2π)/17906 weeks
28410.81672 10.74493 (284*2π)/17906 weeks
285-3.3273 14.03424 (285*2π)/17906 weeks
2864.2686 -2.5652 (286*2π)/17906 weeks
2876.43416 10.70844 (287*2π)/17906 weeks
2888.36532 8.06093 (288*2π)/17906 weeks
289-.58435 18.56644 (289*2π)/17906 weeks
290-3.55413 5.68021 (290*2π)/17906 weeks
291-4.56041 13.13132 (291*2π)/17906 weeks
292-6.24602 -3.36326 (292*2π)/17906 weeks
293.95021 6.28972 (293*2π)/17906 weeks
294-1.62245 -3.37956 (294*2π)/17906 weeks
2959.92291 7.15946 (295*2π)/17906 weeks
296-5.85711 10.66811 (296*2π)/17906 weeks
2972.63758 -.75664 (297*2π)/17906 weeks
298-5.36336 11.56451 (298*2π)/17906 weeks
299-4.37724 -4.48666 (299*2π)/17906 weeks
300-.51995 6.73865 (300*2π)/17906 weeks
301-10.85376 -5.58687 (301*2π)/17906 weeks
3025.39743 -4.22746 (302*2π)/17906 weeks
303-4.12488 -8.4658 (303*2π)/17906 weeks
30412.28851 -8.15934 (304*2π)/17906 weeks
3056.17464 1.61657 (305*2π)/17906 weeks
3067.37928 -7.11744 (306*2π)/17906 weeks
30714.68325 4.17573 (307*2π)/17906 weeks
3083.26685 1.38875 (308*2π)/17906 weeks
30912.38259 -2.78933 (309*2π)/17906 weeks
31012.36782 7.22303 (310*2π)/17906 weeks
3117.69599 5.6966 (311*2π)/17906 weeks
3126.12202 5.31051 (312*2π)/17906 weeks
3137.17463 5.0022 (313*2π)/17906 weeks
3142.85312 .96435 (314*2π)/17906 weeks
31515.93676 -1.94406 (315*2π)/17906 weeks
31615.32447 10.19001 (316*2π)/17906 weeks
31715.61042 16.40615 (317*2π)/17906 weeks
318-2.28603 19.39139 (318*2π)/17906 weeks
319-1.72492 7.19663 (319*2π)/17906 weeks
320-.27966 7.3845 (320*2π)/17906 weeks
321.67013 -.33924 (321*2π)/17906 weeks
3229.64302 7.1645 (322*2π)/17906 weeks
3236.87446 9.39914 (323*2π)/17906 weeks
324-2.46452 18.43711 (324*2π)/17906 weeks
325-11.15931 -2.12107 (325*2π)/17906 weeks
3267.96562 -.3309 (326*2π)/17905 weeks
327-4.37614 2.02263 (327*2π)/17905 weeks
32814.94167 -3.52106 (328*2π)/17905 weeks
3293.83054 13.47787 (329*2π)/17905 weeks
3305.46298 3.50984 (330*2π)/17905 weeks
331-3.5938 14.83879 (331*2π)/17905 weeks
332-2.93459 -10.95134 (332*2π)/17905 weeks
3339.88902 6.95447 (333*2π)/17905 weeks
334.22154 -2.89865 (334*2π)/17905 weeks
33514.17411 4.2025 (335*2π)/17905 weeks
3362.38335 3.46995 (336*2π)/17905 weeks
33714.61253 5.65826 (337*2π)/17905 weeks
3383.3522 13.26911 (338*2π)/17905 weeks
3392.26674 3.48233 (339*2π)/17905 weeks
3406.98122 12.03933 (340*2π)/17905 weeks
341-4.77948 8.02179 (341*2π)/17905 weeks
342-.68159 -.37231 (342*2π)/17905 weeks
3438.08589 2.87168 (343*2π)/17905 weeks
344.10011 4.45233 (344*2π)/17905 weeks
3456.90939 .46225 (345*2π)/17905 weeks
3464.30177 6.4541 (346*2π)/17905 weeks
3478.29859 -.42136 (347*2π)/17905 weeks
3488.27847 15.58558 (348*2π)/17905 weeks
349-2.65214 2.201 (349*2π)/17905 weeks
3507.90609 5.08485 (350*2π)/17905 weeks
351.25834 5.69735 (351*2π)/17905 weeks
3527.48644 3.85414 (352*2π)/17905 weeks
353-2.15639 8.11126 (353*2π)/17905 weeks
3544.88997 -7.18564 (354*2π)/17905 weeks
35514.65275 10.24959 (355*2π)/17905 weeks
356.04341 -1.49955 (356*2π)/17905 weeks
35722.27891 11.089 (357*2π)/17905 weeks
358-3.91156 14.56319 (358*2π)/17905 weeks
3599.98448 4.35011 (359*2π)/17905 weeks
360-.3881 15.05474 (360*2π)/17905 weeks
3613.83406 -3.48705 (361*2π)/17905 weeks
36215.17905 15.61924 (362*2π)/17905 weeks
363-2.64151 13.1408 (363*2π)/17905 weeks
3649.7412 7.91532 (364*2π)/17905 weeks
365-3.93174 21.41556 (365*2π)/17905 weeks
366-2.98565 1.65596 (366*2π)/17905 weeks
3671.73373 11.66138 (367*2π)/17905 weeks
368-.3145 6.19675 (368*2π)/17905 weeks
3695.98036 13.19616 (369*2π)/17905 weeks
370-8.57461 14.92263 (370*2π)/17905 weeks
371-3.73057 5.90123 (371*2π)/17905 weeks
372-8.02218 8.42803 (372*2π)/17905 weeks
373-3.734 1.77839 (373*2π)/17905 weeks
374-2.88342 9.16436 (374*2π)/17905 weeks
375-10.15136 .18112 (375*2π)/17905 weeks
376-.7744 3.46161 (376*2π)/17905 weeks
377-9.81251 -2.9897 (377*2π)/17905 weeks
3783.46941 -4.49636 (378*2π)/17905 weeks
3791.84393 -.8024 (379*2π)/17905 weeks
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5428.94215 5.62887