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Fourier Analysis of XOMA (XOMA Corporation)


XOMA (XOMA Corporation) appears to have interesting cyclic behaviour every 178 weeks (423.3735*sine), 127 weeks (288.53*sine), and 148 weeks (271.3078*sine).

XOMA (XOMA Corporation) has an average price of 1,693.73 (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 7/6/2020 for XOMA (XOMA Corporation), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
01,693.732   0 
1741.0137 1,641.036 (1*2π)/17801,780 weeks
2604.9631 1,200.687 (2*2π)/1780890 weeks
3-469.8541 1,120.846 (3*2π)/1780593 weeks
4-483.0305 109.9129 (4*2π)/1780445 weeks
5-109.5474 50.39578 (5*2π)/1780356 weeks
6262.7448 -194.084 (6*2π)/1780297 weeks
7337.4083 357.5927 (7*2π)/1780254 weeks
848.21654 384.6236 (8*2π)/1780223 weeks
947.33338 182.8154 (9*2π)/1780198 weeks
10-29.07228 423.3735 (10*2π)/1780178 weeks
11-69.35866 50.8424 (11*2π)/1780162 weeks
1224.72081 271.3078 (12*2π)/1780148 weeks
13-45.62303 139.5446 (13*2π)/1780137 weeks
14-13.79742 288.53 (14*2π)/1780127 weeks
15-214.6973 141.1368 (15*2π)/1780119 weeks
16-119.4314 141.8177 (16*2π)/1780111 weeks
17-170.7691 -37.23634 (17*2π)/1780105 weeks
18-36.88958 53.68386 (18*2π)/178099 weeks
19-92.2129 5.17828 (19*2π)/178094 weeks
20-43.72931 1.11619 (20*2π)/178089 weeks
21-18.98124 14.29202 (21*2π)/178085 weeks
22-65.0484 46.40362 (22*2π)/178081 weeks
23-44.36739 -35.16128 (23*2π)/178077 weeks
24-37.95819 32.20843 (24*2π)/178074 weeks
25-93.8144 -27.79316 (25*2π)/178071 weeks
26-32.60176 -108.3635 (26*2π)/178068 weeks
2742.52127 -103.8573 (27*2π)/178066 weeks
2874.57813 -51.98343 (28*2π)/178064 weeks
29106.9655 -18.10485 (29*2π)/178061 weeks
3047.51905 37.23738 (30*2π)/178059 weeks
3153.73665 5.83851 (31*2π)/178057 weeks
326.24399 13.19031 (32*2π)/178056 weeks
3360.85148 -65.6188 (33*2π)/178054 weeks
34101.7039 -7.42966 (34*2π)/178052 weeks
35140.3998 7.08478 (35*2π)/178051 weeks
36115.175 112.1419 (36*2π)/178049 weeks
3747.5419 116.5359 (37*2π)/178048 weeks
38-23.83527 110.0243 (38*2π)/178047 weeks
39-54.05605 -16.89553 (39*2π)/178046 weeks
4046.26059 -32.7557 (40*2π)/178045 weeks
41113.4523 -26.64474 (41*2π)/178043 weeks
42129.8314 81.40851 (42*2π)/178042 weeks
4368.12519 139.4738 (43*2π)/178041 weeks
44-2.72971 95.99744 (44*2π)/178040 weeks
45-6.00219 81.58701 (45*2π)/178040 weeks
46-50.13855 60.81116 (46*2π)/178039 weeks
4732.1959 -66.89025 (47*2π)/178038 weeks
4894.31894 96.33233 (48*2π)/178037 weeks
4925.11772 29.22575 (49*2π)/178036 weeks
5077.73208 137.5649 (50*2π)/178036 weeks
51-61.9156 77.87712 (51*2π)/178035 weeks
5257.04524 81.90271 (52*2π)/178034 weeks
53-111.8134 101.2206 (53*2π)/178034 weeks
5423.19642 -35.05455 (54*2π)/178033 weeks
55-15.98841 113.0399 (55*2π)/178032 weeks
56-60.82825 -35.19507 (56*2π)/178032 weeks
5773.36056 51.79143 (57*2π)/178031 weeks
58-51.36731 49.29957 (58*2π)/178031 weeks
5930.41733 13.53721 (59*2π)/178030 weeks
604.57969 62.64315 (60*2π)/178030 weeks
61-9.04583 56.77959 (61*2π)/178029 weeks
62-20.62464 53.85964 (62*2π)/178029 weeks
63-37.09598 47.20444 (63*2π)/178028 weeks
64-44.92909 21.98259 (64*2π)/178028 weeks
65-13.5885 4.18575 (65*2π)/178027 weeks
66-29.93066 19.14794 (66*2π)/178027 weeks
6716.22746 1.41935 (67*2π)/178027 weeks
68-24.02594 69.63605 (68*2π)/178026 weeks
69-60.0779 -4.77727 (69*2π)/178026 weeks
70-20.94915 9.77584 (70*2π)/178025 weeks
71-59.87336 -35.73125 (71*2π)/178025 weeks
7217.98954 -29.68011 (72*2π)/178025 weeks
73-6.59348 -21.69317 (73*2π)/178024 weeks
7421.61091 -24.9447 (74*2π)/178024 weeks
7522.49144 1.34458 (75*2π)/178024 weeks
762.21167 -36.47215 (76*2π)/178023 weeks
7762.02639 1.457 (77*2π)/178023 weeks
7818.98264 4.46135 (78*2π)/178023 weeks
7954.36288 12.71283 (79*2π)/178023 weeks
805.87113 32.21487 (80*2π)/178022 weeks
8138.69521 -9.90167 (81*2π)/178022 weeks
8225.9433 28.06679 (82*2π)/178022 weeks
8334.08871 18.01501 (83*2π)/178021 weeks
8443.27832 18.79522 (84*2π)/178021 weeks
8528.20055 52.65558 (85*2π)/178021 weeks
8628.97462 38.94392 (86*2π)/178021 weeks
876.36659 59.81998 (87*2π)/178020 weeks
88-8.3584 27.98643 (88*2π)/178020 weeks
8914.20763 45.05304 (89*2π)/178020 weeks
90-18.09196 22.69857 (90*2π)/178020 weeks
9113.9409 29.41354 (91*2π)/178020 weeks
92-8.0472 23.38069 (92*2π)/178019 weeks
9314.94172 33.07865 (93*2π)/178019 weeks
94-13.30697 40.94044 (94*2π)/178019 weeks
95-2.23288 20.88198 (95*2π)/178019 weeks
96-8.23434 38.24217 (96*2π)/178019 weeks
97-27.1408 32.5391 (97*2π)/178018 weeks
98-36.44444 1.58285 (98*2π)/178018 weeks
99-4.23632 -9.39621 (99*2π)/178018 weeks
100-1.59368 11.55848 (100*2π)/178018 weeks
101-13.08926 -6.90859 (101*2π)/178018 weeks
10230.86118 -5.84264 (102*2π)/178017 weeks
103-7.18598 39.35542 (103*2π)/178017 weeks
104-5.99509 -4.66979 (104*2π)/178017 weeks
105-8.36439 13.38874 (105*2π)/178017 weeks
106-2.82732 -27.58955 (106*2π)/178017 weeks
10743.48885 17.54058 (107*2π)/178017 weeks
108-14.47393 10.93891 (108*2π)/178016 weeks
10929.50941 3.92575 (109*2π)/178016 weeks
110.99612 31.56791 (110*2π)/178016 weeks
111-10.1774 -.16037 (111*2π)/178016 weeks
1128.14157 7.05383 (112*2π)/178016 weeks
1131.38216 -14.63128 (113*2π)/178016 weeks
11438.30412 4.46671 (114*2π)/178016 weeks
11519.55556 24.22556 (115*2π)/178015 weeks
11618.80977 15.66911 (116*2π)/178015 weeks
11711.18461 48.59914 (117*2π)/178015 weeks
118-28.54801 3.78819 (118*2π)/178015 weeks
11913.98217 6.29049 (119*2π)/178015 weeks
120-.14405 6.16898 (120*2π)/178015 weeks
12119.87766 3.68117 (121*2π)/178015 weeks
122.98636 26.6871 (122*2π)/178015 weeks
1239.31648 -10.3604 (123*2π)/178014 weeks
12422.4729 20.51066 (124*2π)/178014 weeks
1252.49092 17.27438 (125*2π)/178014 weeks
12618.05066 11.71015 (126*2π)/178014 weeks
127.61924 34.2802 (127*2π)/178014 weeks
128-13.65056 2.75704 (128*2π)/178014 weeks
1297.06861 -3.30214 (129*2π)/178014 weeks
13016.86766 -3.72547 (130*2π)/178014 weeks
13124.53478 8.38543 (131*2π)/178014 weeks
13228.45934 20.6441 (132*2π)/178013 weeks
13310.36598 32.32127 (133*2π)/178013 weeks
1346.56196 19.87536 (134*2π)/178013 weeks
135-2.38248 18.30597 (135*2π)/178013 weeks
13622.79314 -1.59164 (136*2π)/178013 weeks
13728.15215 39.48437 (137*2π)/178013 weeks
138-1.63063 37.10599 (138*2π)/178013 weeks
139.16945 36.36542 (139*2π)/178013 weeks
140-24.85849 29.06568 (140*2π)/178013 weeks
141-11.82572 6.82915 (141*2π)/178013 weeks
142-12.87827 1.18133 (142*2π)/178013 weeks
14312.47809 3.14779 (143*2π)/178012 weeks
144-.30093 17.57151 (144*2π)/178012 weeks
1451.76207 9.49387 (145*2π)/178012 weeks
146-.33963 12.57348 (146*2π)/178012 weeks
147.79831 16.76057 (147*2π)/178012 weeks
148-10.58007 -4.76278 (148*2π)/178012 weeks
14922.17119 14.38469 (149*2π)/178012 weeks
150-8.74273 17.8443 (150*2π)/178012 weeks
151.37666 3.29668 (151*2π)/178012 weeks
1522.04554 12.17603 (152*2π)/178012 weeks
1531.41296 4.46789 (153*2π)/178012 weeks
154.04498 12.30647 (154*2π)/178012 weeks
155-1.86981 -.84922 (155*2π)/178011 weeks
15615.18608 4.83748 (156*2π)/178011 weeks
157-.0078 19.10944 (157*2π)/178011 weeks
1582.52675 -4.29029 (158*2π)/178011 weeks
1595.63991 12.41528 (159*2π)/178011 weeks
16010.03723 3.18511 (160*2π)/178011 weeks
1613.66361 18.86726 (161*2π)/178011 weeks
162-1.88815 6.48953 (162*2π)/178011 weeks
163-.0761 5.78128 (163*2π)/178011 weeks
164-.7485 -7.22322 (164*2π)/178011 weeks
16521.0259 .44478 (165*2π)/178011 weeks
16616.45968 10.51071 (166*2π)/178011 weeks
1678.73497 22.13539 (167*2π)/178011 weeks
168-3.80428 15.7214 (168*2π)/178011 weeks
169-11.89215 -3.677 (169*2π)/178011 weeks
17014.50472 -11.51968 (170*2π)/178010 weeks
17118.56087 -5.37448 (171*2π)/178010 weeks
17237.01437 4.70889 (172*2π)/178010 weeks
17320.52563 32.6119 (173*2π)/178010 weeks
17413.44705 18.46779 (174*2π)/178010 weeks
175.18465 40.0717 (175*2π)/178010 weeks
176-12.05528 2.56993 (176*2π)/178010 weeks
1775.11523 8.87964 (177*2π)/178010 weeks
178.4314 -.24793 (178*2π)/178010 weeks
17918.29937 5.22871 (179*2π)/178010 weeks
1806.65243 5.69298 (180*2π)/178010 weeks
18129.57486 8.21271 (181*2π)/178010 weeks
18217.11487 28.58904 (182*2π)/178010 weeks
18312.42013 20.80012 (183*2π)/178010 weeks
1849.15346 38.48745 (184*2π)/178010 weeks
185-21.17361 25.43008 (185*2π)/178010 weeks
186-7.63333 3.40537 (186*2π)/178010 weeks
187-3.37736 -1.79116 (187*2π)/178010 weeks
18823.56653 -3.31359 (188*2π)/17809 weeks
18923.86993 26.13173 (189*2π)/17809 weeks
1907.48004 34.39175 (190*2π)/17809 weeks
191-10.79873 31.70089 (191*2π)/17809 weeks
192-17.69568 9.03215 (192*2π)/17809 weeks
193-3.84602 1.561 (193*2π)/17809 weeks
19410.51526 -.47165 (194*2π)/17809 weeks
19512.77359 18.55346 (195*2π)/17809 weeks
1969.79513 22.8676 (196*2π)/17809 weeks
197-6.29227 30.05966 (197*2π)/17809 weeks
198-13.6288 13.94489 (198*2π)/17809 weeks
199-12.34827 7.54347 (199*2π)/17809 weeks
200.8754 -1.17319 (200*2π)/17809 weeks
2017.01188 15.35319 (201*2π)/17809 weeks
202-7.78797 11.43233 (202*2π)/17809 weeks
2032.67688 10.73313 (203*2π)/17809 weeks
204-11.89511 12.29764 (204*2π)/17809 weeks
205-1.25538 -6.59525 (205*2π)/17809 weeks
20610.11062 13.25851 (206*2π)/17809 weeks
207-7.55141 3.32079 (207*2π)/17809 weeks
20812.61527 12.48563 (208*2π)/17809 weeks
209-11.71173 13.07986 (209*2π)/17809 weeks
2101.58832 -5.68064 (210*2π)/17808 weeks
2119.66192 13.35327 (211*2π)/17808 weeks
212-.27556 7.18976 (212*2π)/17808 weeks
213.99192 13.5195 (213*2π)/17808 weeks
214-4.74629 7.78906 (214*2π)/17808 weeks
215.31589 2.76155 (215*2π)/17808 weeks
216-2.68978 3.0607 (216*2π)/17808 weeks
21713.05986 -1.2302 (217*2π)/17808 weeks
2188.28176 16.26987 (218*2π)/17808 weeks
2192.27483 10.74145 (219*2π)/17808 weeks
2203.06564 15.06758 (220*2π)/17808 weeks
221-7.28834 8.82506 (221*2π)/17808 weeks
2223.83643 8.95476 (222*2π)/17808 weeks
223-5.87654 7.35563 (223*2π)/17808 weeks
2243.37435 9.89756 (224*2π)/17808 weeks
225-9.68006 5.45721 (225*2π)/17808 weeks
2263.84602 -2.9827 (226*2π)/17808 weeks
227-2.17192 9.23677 (227*2π)/17808 weeks
2282.45131 -8.118 (228*2π)/17808 weeks
22910.31165 7.51918 (229*2π)/17808 weeks
2304.20676 .72197 (230*2π)/17808 weeks
23116.54934 5.29631 (231*2π)/17808 weeks
2324.98012 9.35749 (232*2π)/17808 weeks
23320.11479 9.83554 (233*2π)/17808 weeks
2347.53977 25.95362 (234*2π)/17808 weeks
235-1.21199 19.89543 (235*2π)/17808 weeks
236-6.40949 21.13341 (236*2π)/17808 weeks
237-11.64804 6.36679 (237*2π)/17808 weeks
238-4.49255 .24273 (238*2π)/17807 weeks
23910.50637 -.66517 (239*2π)/17807 weeks
24014.02766 13.96422 (240*2π)/17807 weeks
24111.54598 24.20258 (241*2π)/17807 weeks
242-7.03311 42.71489 (242*2π)/17807 weeks
243-39.75575 14.76891 (243*2π)/17807 weeks
244-14.44879 -5.99879 (244*2π)/17807 weeks
245-16.8099 -8.78751 (245*2π)/17807 weeks
24613.84319 -9.76176 (246*2π)/17807 weeks
247-.41755 19.13484 (247*2π)/17807 weeks
248-8.54379 3.66769 (248*2π)/17807 weeks
249-12.38872 10.29859 (249*2π)/17807 weeks
250-17.06391 -9.9739 (250*2π)/17807 weeks
251-1.00649 -10.36994 (251*2π)/17807 weeks
252.82404 -10.84381 (252*2π)/17807 weeks
25310.12655 -4.88142 (253*2π)/17807 weeks
2542.91211 5.44333 (254*2π)/17807 weeks
255-1.93867 -8.447 (255*2π)/17807 weeks
2569.07074 -4.79778 (256*2π)/17807 weeks
2579.31094 -.27323 (257*2π)/17807 weeks
25813.00692 -4.58907 (258*2π)/17807 weeks
25910.32749 13.85037 (259*2π)/17807 weeks
2605.34742 .15949 (260*2π)/17807 weeks
2617.21219 11.0155 (261*2π)/17807 weeks
262-5.7424 2.83377 (262*2π)/17807 weeks
26314.90002 -5.08687 (263*2π)/17807 weeks
2641.48521 9.07369 (264*2π)/17807 weeks
26515.56009 -1.81852 (265*2π)/17807 weeks
2667.26951 15.25139 (266*2π)/17807 weeks
2673.99071 4.66611 (267*2π)/17807 weeks
2687.01688 15.31817 (268*2π)/17807 weeks
269-7.91729 2.9699 (269*2π)/17807 weeks
2707.2825 .3021 (270*2π)/17807 weeks
2714.1507 5.14545 (271*2π)/17807 weeks
2728.86443 -.02313 (272*2π)/17807 weeks
27310.41565 11.95658 (273*2π)/17807 weeks
2748.16997 5.16156 (274*2π)/17806 weeks
2758.11007 20.10853 (275*2π)/17806 weeks
276-9.03393 12.83896 (276*2π)/17806 weeks
277-.32709 6.16267 (277*2π)/17806 weeks
278-8.16125 6.42662 (278*2π)/17806 weeks
279-3.46789 -6.81003 (279*2π)/17806 weeks
28010.96391 -3.84345 (280*2π)/17806 weeks
2818.33252 4.13358 (281*2π)/17806 weeks
28211.12111 7.11619 (282*2π)/17806 weeks
2834.56734 16.41157 (283*2π)/17806 weeks
284-4.57432 1.06411 (284*2π)/17806 weeks
28510.93939 6.98876 (285*2π)/17806 weeks
2864.64805 6.98532 (286*2π)/17806 weeks
2876.62898 17.02485 (287*2π)/17806 weeks
288-7.06687 10.09076 (288*2π)/17806 weeks
289.50839 10.49619 (289*2π)/17806 weeks
290-11.65082 3.25627 (290*2π)/17806 weeks
2913.63034 1.79127 (291*2π)/17806 weeks
292-4.87964 1.42284 (292*2π)/17806 weeks
2939.32291 .06587 (293*2π)/17806 weeks
294.01862 13.72114 (294*2π)/17806 weeks
295-4.24315 -.95459 (295*2π)/17806 weeks
2961.93191 11.27393 (296*2π)/17806 weeks
297-9.64554 -.66278 (297*2π)/17806 weeks
2983.00995 2.61104 (298*2π)/17806 weeks
299-11.09093 1.49887 (299*2π)/17806 weeks
3002.7251 -10.05495 (300*2π)/17806 weeks
301-3.98 -2.45668 (301*2π)/17806 weeks
3028.4138 -12.33442 (302*2π)/17806 weeks
3039.73268 1.34298 (303*2π)/17806 weeks
3044.22327 -4.97282 (304*2π)/17806 weeks
30516.04086 -.82314 (305*2π)/17806 weeks
3064.51279 4.99967 (306*2π)/17806 weeks
3079.32881 -3.89905 (307*2π)/17806 weeks
30814.50106 5.14051 (308*2π)/17806 weeks
3097.75229 6.32786 (309*2π)/17806 weeks
3106.72921 5.93775 (310*2π)/17806 weeks
3117.17129 4.32136 (311*2π)/17806 weeks
3123.21075 3.83188 (312*2π)/17806 weeks
31312.35603 -4.06903 (313*2π)/17806 weeks
31417.23045 8.89279 (314*2π)/17806 weeks
31515.90812 12.96067 (315*2π)/17806 weeks
3161.64197 22.31057 (316*2π)/17806 weeks
317-3.17743 8.40372 (317*2π)/17806 weeks
318.30668 7.42975 (318*2π)/17806 weeks
319-1.37386 1.65972 (319*2π)/17806 weeks
32010.20024 4.50516 (320*2π)/17806 weeks
3216.21243 8.86314 (321*2π)/17806 weeks
3221.71182 18.08862 (322*2π)/17806 weeks
323-13.38954 2.53714 (323*2π)/17806 weeks
3246.35827 -3.73483 (324*2π)/17805 weeks
325-2.65364 5.53942 (325*2π)/17805 weeks
32611.40175 -6.98645 (326*2π)/17805 weeks
3277.52273 14.08647 (327*2π)/17805 weeks
3283.30061 3.02565 (328*2π)/17805 weeks
329.48269 15.20691 (329*2π)/17805 weeks
330-7.65843 -8.45746 (330*2π)/17805 weeks
33112.22947 4.36075 (331*2π)/17805 weeks
332-1.11418 -.57364 (332*2π)/17805 weeks
33314.391 1.47767 (333*2π)/17805 weeks
3342.43302 5.52895 (334*2π)/17805 weeks
33514.16867 3.49566 (335*2π)/17805 weeks
3364.7718 13.89646 (336*2π)/17805 weeks
3371.17428 4.25821 (337*2π)/17805 weeks
3387.98285 10.88576 (338*2π)/17805 weeks
339-4.44973 9.32886 (339*2π)/17805 weeks
340-1.28308 .08245 (340*2π)/17805 weeks
3417.90928 1.7904 (341*2π)/17805 weeks
342.37489 5.32707 (342*2π)/17805 weeks
3436.35672 .07087 (343*2π)/17805 weeks
3444.9255 6.6571 (344*2π)/17805 weeks
3457.38578 -.51823 (345*2π)/17805 weeks
3469.60308 15.04862 (346*2π)/17805 weeks
347-3.25818 2.99584 (347*2π)/17805 weeks
3487.95584 4.5852 (348*2π)/17805 weeks
349.34963 6.15639 (349*2π)/17805 weeks
3507.35947 3.51492 (350*2π)/17805 weeks
351-1.80501 8.50905 (351*2π)/17805 weeks
3524.39279 -7.15841 (352*2π)/17805 weeks
35315.02267 9.94946 (353*2π)/17805 weeks
354-.16352 -1.20827 (354*2π)/17805 weeks
35522.44491 10.94595 (355*2π)/17805 weeks
356-3.93844 14.6472 (356*2π)/17805 weeks
35710.10552 4.47223 (357*2π)/17805 weeks
358-.6113 15.01998 (358*2π)/17805 weeks
3594.31897 -3.57664 (359*2π)/17805 weeks
36014.87683 16.17568 (360*2π)/17805 weeks
361-2.7563 12.6968 (361*2π)/17805 weeks
36210.18105 8.59899 (362*2π)/17805 weeks
363-4.94508 21.04241 (363*2π)/17805 weeks
364-2.00285 1.578 (364*2π)/17805 weeks
3651.18181 11.79876 (365*2π)/17805 weeks
366.10037 6.04244 (366*2π)/17805 weeks
3675.64077 14.24273 (367*2π)/17805 weeks
368-9.19823 13.97548 (368*2π)/17805 weeks
369-3.24349 6.38192 (369*2π)/17805 weeks
370-8.46379 7.72172 (370*2π)/17805 weeks
371-3.04331 1.96494 (371*2π)/17805 weeks
372-3.99617 9.61395 (372*2π)/17805 weeks
373-9.238 -1.07591 (373*2π)/17805 weeks
374-1.65884 4.63482 (374*2π)/17805 weeks
375-8.92172 -4.79397 (375*2π)/17805 weeks
3763.90141 -3.27838 (376*2π)/17805 weeks
3772.21606 -1.23256 (377*2π)/17805 weeks
3787.41849 4.75529 (378*2π)/17805 weeks
379-3.27468 9.81338 (379*2π)/17805 weeks
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5472.32213 1.97711