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Fourier Analysis of XOMA (XOMA Corporation)


XOMA (XOMA Corporation) appears to have interesting cyclic behaviour every 184 weeks (360.4214*sine), 122 weeks (264.1583*sine), and 108 weeks (204.7008*cosine).

XOMA (XOMA Corporation) has an average price of 1,643.97 (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 7/26/2021 for XOMA (XOMA Corporation), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
01,643.969   0 
1771.2231 1,635.616 (1*2π)/18351,835 weeks
2609.5681 1,123.175 (2*2π)/1835918 weeks
3-374.601 1,170.127 (3*2π)/1835612 weeks
4-534.6448 185.6202 (4*2π)/1835459 weeks
5-97.09777 46.7542 (5*2π)/1835367 weeks
6118.5901 -212.5531 (6*2π)/1835306 weeks
7400.7296 276.0366 (7*2π)/1835262 weeks
8104.2003 390.9675 (8*2π)/1835229 weeks
9-13.5836 213.9173 (9*2π)/1835204 weeks
10104.7359 360.4214 (10*2π)/1835184 weeks
11-185.0092 145.9477 (11*2π)/1835167 weeks
1291.49405 184.2478 (12*2π)/1835153 weeks
13-83.29876 192.1188 (13*2π)/1835141 weeks
1432.36762 191.8076 (14*2π)/1835131 weeks
15-170.9764 264.1583 (15*2π)/1835122 weeks
16-118.6294 79.50507 (16*2π)/1835115 weeks
17-204.7008 95.60896 (17*2π)/1835108 weeks
18-49.94362 -35.81143 (18*2π)/1835102 weeks
19-84.35746 57.06044 (19*2π)/183597 weeks
20-62.00921 -6.95797 (20*2π)/183592 weeks
21-35.23126 2.27345 (21*2π)/183587 weeks
22-17.12403 31.89084 (22*2π)/183583 weeks
23-81.48748 19.93166 (23*2π)/183580 weeks
24-15.43556 -23.40793 (24*2π)/183576 weeks
25-59.31615 25.75778 (25*2π)/183573 weeks
26-90.57683 -49.77333 (26*2π)/183571 weeks
27-15.60664 -105.9716 (27*2π)/183568 weeks
2853.45333 -94.55884 (28*2π)/183566 weeks
2972.80695 -48.86421 (29*2π)/183563 weeks
30105.2648 -8.64158 (30*2π)/183561 weeks
3141.14553 32.67537 (31*2π)/183559 weeks
3252.7855 7.14611 (32*2π)/183557 weeks
335.39887 11.72214 (33*2π)/183556 weeks
3456.72284 -63.97492 (34*2π)/183554 weeks
3599.43925 -8.24166 (35*2π)/183552 weeks
36130.6651 1.47952 (36*2π)/183551 weeks
37122.3504 102.4474 (37*2π)/183550 weeks
3852.36393 112.6333 (38*2π)/183548 weeks
39-7.23577 112.6164 (39*2π)/183547 weeks
40-66.15057 12.19064 (40*2π)/183546 weeks
4133.79088 -39.50661 (41*2π)/183545 weeks
4282.87385 -35.20782 (42*2π)/183544 weeks
43138.5248 53.56309 (43*2π)/183543 weeks
4492.60538 119.5563 (44*2π)/183542 weeks
454.26842 117.4461 (45*2π)/183541 weeks
461.35702 82.31363 (46*2π)/183540 weeks
47-19.98974 75.31371 (47*2π)/183539 weeks
48-49.37807 -24.49229 (48*2π)/183538 weeks
49120.4614 5.90228 (49*2π)/183537 weeks
5014.88501 88.43181 (50*2π)/183537 weeks
5187.14807 46.27085 (51*2π)/183536 weeks
52-3.0607 154.1269 (52*2π)/183535 weeks
53-16.27255 22.07682 (53*2π)/183535 weeks
5415.4145 142.3593 (54*2π)/183534 weeks
55-110.5936 12.29793 (55*2π)/183533 weeks
5661.59634 23.20308 (56*2π)/183533 weeks
57-63.95758 89.10216 (57*2π)/183532 weeks
58-7.84437 -52.99739 (58*2π)/183532 weeks
5946.02434 84.7077 (59*2π)/183531 weeks
60-45.23799 21.0468 (60*2π)/183531 weeks
6134.8576 28.03449 (61*2π)/183530 weeks
62.60163 59.23201 (62*2π)/183530 weeks
63-9.7869 55.21393 (63*2π)/183529 weeks
64-20.57863 52.12028 (64*2π)/183529 weeks
65-36.63034 44.74639 (65*2π)/183528 weeks
66-43.24494 20.54188 (66*2π)/183528 weeks
67-13.18667 3.84642 (67*2π)/183527 weeks
68-27.86273 20.14959 (68*2π)/183527 weeks
6911.73375 -2.77427 (69*2π)/183527 weeks
70-12.91088 66.89491 (70*2π)/183526 weeks
71-64.13762 4.60606 (71*2π)/183526 weeks
72-17.39563 1.98991 (72*2π)/183525 weeks
73-62.10383 -15.29827 (73*2π)/183525 weeks
7411.32238 -45.0399 (74*2π)/183525 weeks
75-4.84567 -12.96588 (75*2π)/183524 weeks
7614.39013 -29.2645 (76*2π)/183524 weeks
7726.50382 -7.83067 (77*2π)/183524 weeks
78-5.42007 -10.55604 (78*2π)/183524 weeks
7955.14278 -29.74036 (79*2π)/183523 weeks
8028.493 19.64338 (80*2π)/183523 weeks
8139.58257 -6.97089 (81*2π)/183523 weeks
8234.24416 38.63205 (82*2π)/183522 weeks
834.28788 -2.86869 (83*2π)/183522 weeks
8447.51071 19.79713 (84*2π)/183522 weeks
8524.03807 14.59949 (85*2π)/183522 weeks
8631.37594 19.41795 (86*2π)/183521 weeks
8749.11536 33.71805 (87*2π)/183521 weeks
8817.42925 42.39354 (88*2π)/183521 weeks
8928.64042 48.55035 (89*2π)/183521 weeks
90-3.9788 52.61982 (90*2π)/183520 weeks
911.63073 21.39271 (91*2π)/183520 weeks
923.28005 50.25193 (92*2π)/183520 weeks
93-9.91719 13.86422 (93*2π)/183520 weeks
9410.25647 34.53482 (94*2π)/183520 weeks
95-4.26869 18.39939 (95*2π)/183519 weeks
9613.09484 36.19637 (96*2π)/183519 weeks
97-14.83398 37.21101 (97*2π)/183519 weeks
98-.66852 21.35229 (98*2π)/183519 weeks
99-8.39437 37.31289 (99*2π)/183519 weeks
100-26.2168 31.69838 (100*2π)/183518 weeks
101-35.69785 2.69247 (101*2π)/183518 weeks
102-5.41181 -9.82709 (102*2π)/183518 weeks
103.4699 10.3378 (103*2π)/183518 weeks
104-13.80933 -2.80867 (104*2π)/183518 weeks
10523.50716 -12.81349 (105*2π)/183517 weeks
1066.27453 40.4548 (106*2π)/183517 weeks
107-14.39901 -1.7708 (107*2π)/183517 weeks
108-.11086 12.96286 (108*2π)/183517 weeks
109-14.70032 -15.75015 (109*2π)/183517 weeks
11042.48063 -8.1556 (110*2π)/183517 weeks
111-3.73785 31.45829 (111*2π)/183517 weeks
11215.02853 -10.1751 (112*2π)/183516 weeks
11317.14826 29.6775 (113*2π)/183516 weeks
114-13.45992 14.70041 (114*2π)/183516 weeks
1156.80747 -2.73984 (115*2π)/183516 weeks
116-3.42069 3.55444 (116*2π)/183516 weeks
11725.3838 -16.05427 (117*2π)/183516 weeks
11830.61237 19.17001 (118*2π)/183516 weeks
11913.46183 20.06938 (119*2π)/183515 weeks
12025.58012 23.63011 (120*2π)/183515 weeks
121-14.10079 45.56889 (121*2π)/183515 weeks
122-8.8649 -10.74152 (122*2π)/183515 weeks
1238.6943 13.11453 (123*2π)/183515 weeks
1242.86419 1.08804 (124*2π)/183515 weeks
12522.04038 11.21618 (125*2π)/183515 weeks
126-7.481 19.31499 (126*2π)/183515 weeks
12718.62344 -7.17897 (127*2π)/183514 weeks
12818.26752 22.47448 (128*2π)/183514 weeks
1292.32659 13.943 (129*2π)/183514 weeks
13018.96621 13.84795 (130*2π)/183514 weeks
131-2.22903 32.64274 (131*2π)/183514 weeks
132-12.27338 1.59038 (132*2π)/183514 weeks
1337.00974 -3.07745 (133*2π)/183514 weeks
13416.14169 -3.68625 (134*2π)/183514 weeks
13523.93382 7.86988 (135*2π)/183514 weeks
13627.8633 18.62602 (136*2π)/183513 weeks
13712.63254 32.00034 (137*2π)/183513 weeks
1385.40441 19.50867 (138*2π)/183513 weeks
139.40993 20.83434 (139*2π)/183513 weeks
14012.85427 -3.12965 (140*2π)/183513 weeks
14133.19398 30.65336 (141*2π)/183513 weeks
1422.58756 41.20732 (142*2π)/183513 weeks
1431.77814 31.45823 (143*2π)/183513 weeks
144-16.59601 36.43031 (144*2π)/183513 weeks
145-19.15452 7.81792 (145*2π)/183513 weeks
146-12.16548 8.5054 (146*2π)/183513 weeks
1472.97709 -5.29241 (147*2π)/183512 weeks
1488.26327 16.84631 (148*2π)/183512 weeks
149-2.2378 10.47452 (149*2π)/183512 weeks
1502.38017 12.43795 (150*2π)/183512 weeks
1511.41274 10.67614 (151*2π)/183512 weeks
152-9.64473 15.49325 (152*2π)/183512 weeks
1538.48629 -9.9213 (153*2π)/183512 weeks
1549.30281 25.8605 (154*2π)/183512 weeks
155-8.33784 8.95435 (155*2π)/183512 weeks
1564.17553 5.52925 (156*2π)/183512 weeks
157-1.25219 10.95704 (157*2π)/183512 weeks
1584.31699 5.75859 (158*2π)/183512 weeks
159-2.87754 10.43659 (159*2π)/183512 weeks
1601.52185 -2.53016 (160*2π)/183511 weeks
16115.0124 8.8205 (161*2π)/183511 weeks
162-3.69925 16.71459 (162*2π)/183511 weeks
1636.2624 -3.56373 (163*2π)/183511 weeks
1644.02284 11.70579 (164*2π)/183511 weeks
16510.66669 3.852 (165*2π)/183511 weeks
1663.02662 18.27877 (166*2π)/183511 weeks
167-1.75695 6.40104 (167*2π)/183511 weeks
168.14983 5.77539 (168*2π)/183511 weeks
169-1.81359 -5.61717 (169*2π)/183511 weeks
17019.91475 -1.75345 (170*2π)/183511 weeks
17115.95038 9.8196 (171*2π)/183511 weeks
17211.65872 20.73402 (172*2π)/183511 weeks
173-2.16518 16.39192 (173*2π)/183511 weeks
174-12.31859 2.98916 (174*2π)/183511 weeks
1758.51703 -14.51598 (175*2π)/183510 weeks
17616.41349 -4.09734 (176*2π)/183510 weeks
17730.2212 -2.34578 (177*2π)/183510 weeks
17831.07386 27.29099 (178*2π)/183510 weeks
1798.27566 21.7058 (179*2π)/183510 weeks
18015.71614 32.19127 (180*2π)/183510 weeks
181-19.29512 19.6039 (181*2π)/183510 weeks
1823.43733 2.32377 (182*2π)/183510 weeks
183-.45604 8.20259 (183*2π)/183510 weeks
18410.57861 -3.03426 (184*2π)/183510 weeks
18513.07758 12.43004 (185*2π)/183510 weeks
18614.53493 -1.46958 (186*2π)/183510 weeks
18728.00742 19.66792 (187*2π)/183510 weeks
18810.54714 25.89781 (188*2π)/183510 weeks
18915.5444 23.74483 (189*2π)/183510 weeks
190-.81136 40.02475 (190*2π)/183510 weeks
191-20.4467 14.67046 (191*2π)/183510 weeks
192-4.84484 3.97856 (192*2π)/183510 weeks
193-.15983 -5.17379 (193*2π)/183510 weeks
19426.76005 2.21921 (194*2π)/18359 weeks
19520.55308 27.75653 (195*2π)/18359 weeks
1965.36131 33.92696 (196*2π)/18359 weeks
197-12.20891 29.71282 (197*2π)/18359 weeks
198-16.31368 7.48596 (198*2π)/18359 weeks
199-3.41027 1.49769 (199*2π)/18359 weeks
20010.38213 -.24554 (200*2π)/18359 weeks
20112.69371 17.99651 (201*2π)/18359 weeks
2029.55579 21.5752 (202*2π)/18359 weeks
203-4.29809 29.75115 (203*2π)/18359 weeks
204-13.87741 15.16293 (204*2π)/18359 weeks
205-11.7697 9.21038 (205*2π)/18359 weeks
206-2.51711 -1.37889 (206*2π)/18359 weeks
2078.66732 11.22227 (207*2π)/18359 weeks
208-6.19435 15.25641 (208*2π)/18359 weeks
209.97809 6.87351 (209*2π)/18359 weeks
210-6.85699 15.85233 (210*2π)/18359 weeks
211-9.19913 -3.04581 (211*2π)/18359 weeks
21211.88008 3.72734 (212*2π)/18359 weeks
213-5.66913 14.18913 (213*2π)/18359 weeks
2148.46574 -.01043 (214*2π)/18359 weeks
215-1.6274 20.66504 (215*2π)/18359 weeks
216-9.32348 -.45127 (216*2π)/18358 weeks
21711.67788 1.82153 (217*2π)/18358 weeks
218.45333 14.04397 (218*2π)/18358 weeks
2194.17298 8.33484 (219*2π)/18358 weeks
220-2.77391 11.90001 (220*2π)/18358 weeks
221-4.07874 4.94544 (221*2π)/18358 weeks
2221.50091 4.82143 (222*2π)/18358 weeks
223-.89294 -1.79284 (223*2π)/18358 weeks
22415.62863 5.01319 (224*2π)/18358 weeks
2254.34846 15.55127 (225*2π)/18358 weeks
2263.18641 10.36166 (226*2π)/18358 weeks
2271.20994 15.80502 (227*2π)/18358 weeks
228-5.7771 5.85629 (228*2π)/18358 weeks
2293.09762 10.66782 (229*2π)/18358 weeks
230-5.24439 5.58536 (230*2π)/18358 weeks
2312.62675 10.77338 (231*2π)/18358 weeks
232-9.296 4.5452 (232*2π)/18358 weeks
2334.01041 -2.55903 (233*2π)/18358 weeks
234-1.8861 9.15903 (234*2π)/18358 weeks
2351.30954 -7.6673 (235*2π)/18358 weeks
23611.14369 6.57234 (236*2π)/18358 weeks
2373.37322 1.84177 (237*2π)/18358 weeks
23815.18268 2.818 (238*2π)/18358 weeks
2396.05676 11.63965 (239*2π)/18358 weeks
24017.07301 5.57043 (240*2π)/18358 weeks
24111.6424 24.84043 (241*2π)/18358 weeks
242-.57812 20.87955 (242*2π)/18358 weeks
243-2.6306 20.11631 (243*2π)/18358 weeks
244-12.98817 11.21251 (244*2π)/18358 weeks
245-6.04604 2.35426 (245*2π)/18357 weeks
2463.72412 -3.20376 (246*2π)/18357 weeks
24714.41298 8.40291 (247*2π)/18357 weeks
24812.01262 18.7337 (248*2π)/18357 weeks
2496.80132 33.68087 (249*2π)/18357 weeks
250-28.42836 35.64831 (250*2π)/18357 weeks
251-29.56434 -4.55355 (251*2π)/18357 weeks
252-13.22212 -.74295 (252*2π)/18357 weeks
253-6.97466 -16.9952 (253*2π)/18357 weeks
25415.93701 5.91144 (254*2π)/18357 weeks
255-9.47122 14.11212 (255*2π)/18357 weeks
256-5.05673 4.88734 (256*2π)/18357 weeks
257-17.58025 6.4983 (257*2π)/18357 weeks
258-11.70166 -12.93536 (258*2π)/18357 weeks
259-.83543 -8.35594 (259*2π)/18357 weeks
2603.03771 -10.70511 (260*2π)/18357 weeks
26110.09402 -2.35094 (261*2π)/18357 weeks
262.29364 5.03807 (262*2π)/18357 weeks
263-.00569 -9.28625 (263*2π)/18357 weeks
2648.83458 -4.13189 (264*2π)/18357 weeks
2658.71273 .07056 (265*2π)/18357 weeks
26613.02281 -4.17809 (266*2π)/18357 weeks
26710.03977 13.46865 (267*2π)/18357 weeks
2684.64988 .34092 (268*2π)/18357 weeks
2697.78273 10.42669 (269*2π)/18357 weeks
270-5.2219 4.89577 (270*2π)/18357 weeks
27111.54486 -7.43367 (271*2π)/18357 weeks
2724.84166 11.15167 (272*2π)/18357 weeks
27310.88484 -4.24911 (273*2π)/18357 weeks
27411.19334 14.56613 (274*2π)/18357 weeks
2751.70497 6.48352 (275*2π)/18357 weeks
2769.67723 10.6172 (276*2π)/18357 weeks
277-7.38916 10.64486 (277*2π)/18357 weeks
2783.6476 -2.70811 (278*2π)/18357 weeks
2796.02931 5.10955 (279*2π)/18357 weeks
2804.41332 .91297 (280*2π)/18357 weeks
28113.33526 6.20967 (281*2π)/18357 weeks
2823.75616 8.93577 (282*2π)/18357 weeks
28312.87841 11.74774 (283*2π)/18356 weeks
284-1.91254 20.3783 (284*2π)/18356 weeks
285-5.96386 5.12211 (285*2π)/18356 weeks
286-2.21458 9.26448 (286*2π)/18356 weeks
287-8.8359 .65215 (287*2π)/18356 weeks
2882.08686 -7.93779 (288*2π)/18356 weeks
28911.66646 1.2182 (289*2π)/18356 weeks
2908.56652 3.6484 (290*2π)/18356 weeks
29110.75485 9.16041 (291*2π)/18356 weeks
292-.32297 15.50157 (292*2π)/18356 weeks
293-.19681 -1.98528 (293*2π)/18356 weeks
2948.84644 9.49276 (294*2π)/18356 weeks
2955.87012 6.52018 (295*2π)/18356 weeks
2964.36518 17.72775 (296*2π)/18356 weeks
297-6.4084 8.34386 (297*2π)/18356 weeks
298-.09933 11.07411 (298*2π)/18356 weeks
299-11.16907 2.28294 (299*2π)/18356 weeks
3003.53413 1.87484 (300*2π)/18356 weeks
301-4.75584 1.79622 (301*2π)/18356 weeks
3028.39177 -.74454 (302*2π)/18356 weeks
3031.46157 13.32276 (303*2π)/18356 weeks
304-5.896 .49629 (304*2π)/18356 weeks
3054.15982 8.98711 (305*2π)/18356 weeks
306-10.48049 2.81756 (306*2π)/18356 weeks
3072.54989 -.82046 (307*2π)/18356 weeks
308-8.13144 5.26425 (308*2π)/18356 weeks
309-3.072 -11.16244 (309*2π)/18356 weeks
310.34589 .3812 (310*2π)/18356 weeks
3111.73098 -12.88793 (311*2π)/18356 weeks
31212.44583 -2.39116 (312*2π)/18356 weeks
3133.53553 -.64118 (313*2π)/18356 weeks
31411.55007 -6.36243 (314*2π)/18356 weeks
31510.41728 6.75919 (315*2π)/18356 weeks
3164.14211 -1.54955 (316*2π)/18356 weeks
31713.88129 -.66186 (317*2π)/18356 weeks
31810.15467 7.6743 (318*2π)/18356 weeks
3197.44887 5.55663 (319*2π)/18356 weeks
3205.85887 4.71763 (320*2π)/18356 weeks
3216.67204 5.3454 (321*2π)/18356 weeks
3223.08417 -.25711 (322*2π)/18356 weeks
32316.32855 -.87421 (323*2π)/18356 weeks
32414.57575 10.05339 (324*2π)/18356 weeks
32515.0407 16.59256 (325*2π)/18356 weeks
326-2.39499 18.9424 (326*2π)/18356 weeks
327-1.91401 7.10873 (327*2π)/18356 weeks
328-.15362 7.24057 (328*2π)/18356 weeks
329-.13461 .30263 (329*2π)/18356 weeks
3309.71076 5.98446 (330*2π)/18356 weeks
3316.16933 8.73948 (331*2π)/18356 weeks
332.656 17.80131 (332*2π)/18356 weeks
333-12.84628 2.02781 (333*2π)/18356 weeks
3345.94739 -3.6986 (334*2π)/18355 weeks
335-2.04857 5.99058 (335*2π)/18355 weeks
3369.19316 -7.69647 (336*2π)/18355 weeks
3379.66257 13.24464 (337*2π)/18355 weeks
3381.39179 3.56749 (338*2π)/18355 weeks
3393.9826 13.50958 (339*2π)/18355 weeks
340-11.45497 -2.7411 (340*2π)/18355 weeks
34112.94873 -1.47576 (341*2π)/18355 weeks
342-1.03637 4.25871 (342*2π)/18355 weeks
34311.02092 -3.66409 (343*2π)/18355 weeks
3445.6815 9.01038 (344*2π)/18355 weeks
3459.28916 -.61916 (345*2π)/18355 weeks
3469.94383 13.06584 (346*2π)/18355 weeks
347-.31583 8.49426 (347*2π)/18355 weeks
3487.53729 4.71004 (348*2π)/18355 weeks
349.57422 13.3868 (349*2π)/18355 weeks
350-3.98743 3.27103 (350*2π)/18355 weeks
3512.67893 -1.60913 (351*2π)/18355 weeks
3525.86575 6.74692 (352*2π)/18355 weeks
3531.01146 .9861 (353*2π)/18355 weeks
3548.08941 3.06119 (354*2π)/18355 weeks
3552.36319 4.27345 (355*2π)/18355 weeks
35611.9093 1.81011 (356*2π)/18355 weeks
3572.09493 15.52388 (357*2π)/18355 weeks
358.47622 .13399 (358*2π)/18355 weeks
3596.86034 7.01085 (359*2π)/18355 weeks
360.37281 3.69335 (360*2π)/18355 weeks
3617.58746 5.47114 (361*2π)/18355 weeks
362-3.44655 6.18611 (362*2π)/18355 weeks
3636.89787 -7.00538 (363*2π)/18355 weeks
36412.81919 11.29488 (364*2π)/18355 weeks
3651.02551 -2.64704 (365*2π)/18355 weeks
36621.45063 11.74702 (366*2π)/18355 weeks
367-3.9316 14.20377 (367*2π)/18355 weeks
3689.36952 3.7877 (368*2π)/18355 weeks
369.57211 15.12215 (369*2π)/18355 weeks
3701.76908 -2.82507 (370*2π)/18355 weeks
37116.03869 13.02023 (371*2π)/18355 weeks
372-1.83203 14.87499 (372*2π)/18355 weeks
3737.32522 5.60645 (373*2π)/18355 weeks
374.63133 21.90042 (374*2π)/18355 weeks
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5201.03381 5.60458