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# Fourier Analysis of AGEN (Agenus Inc)

AGEN (Agenus Inc) appears to have interesting cyclic behaviour every 60 weeks (10.8827*sine), 80 weeks (10.2899*sine), and 95 weeks (9.7833*cosine).

AGEN (Agenus Inc) has an average price of 31.16 (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.

## Fourier Analysis

Using data from 2/8/2000 to 5/14/2018 for AGEN (Agenus Inc), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
031.16053   0
130.41955 28.10667 (1*2π)/954954 weeks
210.49162 19.4125 (2*2π)/954477 weeks
38.91762 10.67793 (3*2π)/954318 weeks
410.89184 10.20392 (4*2π)/954239 weeks
58.82043 11.97853 (5*2π)/954191 weeks
66.21964 9.65263 (6*2π)/954159 weeks
76.91431 7.85459 (7*2π)/954136 weeks
85.09325 6.61453 (8*2π)/954119 weeks
97.9226 4.5954 (9*2π)/954106 weeks
109.7833 8.15124 (10*2π)/95495 weeks
117.98349 9.52699 (11*2π)/95487 weeks
126.47365 10.28992 (12*2π)/95480 weeks
135.7014 8.98753 (13*2π)/95473 weeks
144.45009 9.21294 (14*2π)/95468 weeks
155.15654 9.11851 (15*2π)/95464 weeks
162.86431 10.88273 (16*2π)/95460 weeks
172.03264 9.048 (17*2π)/95456 weeks
182.65614 9.5847 (18*2π)/95453 weeks
192.03697 9.50882 (19*2π)/95450 weeks
20.16468 9.83905 (20*2π)/95448 weeks
21.28698 8.4998 (21*2π)/95445 weeks
22-.55512 9.19168 (22*2π)/95443 weeks
23-2.01065 8.53308 (23*2π)/95441 weeks
24-2.61466 6.76767 (24*2π)/95440 weeks
25-1.35884 5.95416 (25*2π)/95438 weeks
26-1.3154 6.26975 (26*2π)/95437 weeks
27-1.14278 7.06908 (27*2π)/95435 weeks
28-3.14277 7.31138 (28*2π)/95434 weeks
29-3.90064 6.07063 (29*2π)/95433 weeks
30-3.4328 5.04091 (30*2π)/95432 weeks
31-3.57959 5.40424 (31*2π)/95431 weeks
32-4.26218 4.5161 (32*2π)/95430 weeks
33-4.10515 4.1776 (33*2π)/95429 weeks
34-4.64734 3.87666 (34*2π)/95428 weeks
35-5.54127 3.17182 (35*2π)/95427 weeks
36-5.34913 1.7784 (36*2π)/95427 weeks
37-4.77734 1.24301 (37*2π)/95426 weeks
38-4.35366 1.06931 (38*2π)/95425 weeks
39-4.40486 .78817 (39*2π)/95424 weeks
40-4.49861 .26352 (40*2π)/95424 weeks
41-4.51793 .08796 (41*2π)/95423 weeks
42-4.27844 -.61717 (42*2π)/95423 weeks
43-4.16105 -.86232 (43*2π)/95422 weeks
44-4.20359 -1.82524 (44*2π)/95422 weeks
45-3.28063 -2.23983 (45*2π)/95421 weeks
46-3.57976 -1.98738 (46*2π)/95421 weeks
47-4.05051 -3.03046 (47*2π)/95420 weeks
48-2.97824 -4.39668 (48*2π)/95420 weeks
49-1.73566 -4.37719 (49*2π)/95419 weeks
50-1.26674 -4.26741 (50*2π)/95419 weeks
51-.3974 -4.47396 (51*2π)/95419 weeks
52-.10196 -4.00666 (52*2π)/95418 weeks
53.05343 -4.23595 (53*2π)/95418 weeks
54.33728 -4.42874 (54*2π)/95418 weeks
55.99 -4.68782 (55*2π)/95417 weeks
561.61806 -4.76811 (56*2π)/95417 weeks
572.47937 -4.45057 (57*2π)/95417 weeks
582.49075 -4.11656 (58*2π)/95416 weeks
592.95278 -4.39251 (59*2π)/95416 weeks
604.07782 -4.28441 (60*2π)/95416 weeks
614.46942 -3.22362 (61*2π)/95416 weeks
624.13393 -3.04736 (62*2π)/95415 weeks
634.30012 -3.21847 (63*2π)/95415 weeks
644.97 -3.21099 (64*2π)/95415 weeks
655.5315 -2.98637 (65*2π)/95415 weeks
666.57763 -2.63933 (66*2π)/95414 weeks
676.5854 -1.33629 (67*2π)/95414 weeks
686.36389 -1.308 (68*2π)/95414 weeks
696.97833 -1.1189 (69*2π)/95414 weeks
707.47193 -.484 (70*2π)/95414 weeks
717.69614 .42593 (71*2π)/95413 weeks
727.78842 1.35579 (72*2π)/95413 weeks
737.31135 2.15668 (73*2π)/95413 weeks
747.01553 2.48439 (74*2π)/95413 weeks
757.0497 2.67286 (75*2π)/95413 weeks
767.15699 3.43199 (76*2π)/95413 weeks
776.61364 4.05968 (77*2π)/95412 weeks
786.55262 4.14119 (78*2π)/95412 weeks
796.48789 5.04067 (79*2π)/95412 weeks
805.82718 5.54863 (80*2π)/95412 weeks
815.53367 5.86805 (81*2π)/95412 weeks
824.94419 6.44388 (82*2π)/95412 weeks
834.35938 6.35506 (83*2π)/95411 weeks
844.32661 6.58608 (84*2π)/95411 weeks
853.7135 6.97433 (85*2π)/95411 weeks
863.50498 7.05671 (86*2π)/95411 weeks
873.39684 7.49405 (87*2π)/95411 weeks
882.65183 8.29741 (88*2π)/95411 weeks
891.44818 8.34694 (89*2π)/95411 weeks
90.83243 7.99996 (90*2π)/95411 weeks
91.52589 7.86339 (91*2π)/95410 weeks
92.08445 7.98076 (92*2π)/95410 weeks
93-.51418 7.92365 (93*2π)/95410 weeks
94-.918 7.8961 (94*2π)/95410 weeks
95-1.63082 8.01829 (95*2π)/95410 weeks
96-2.24402 7.74242 (96*2π)/95410 weeks
97-2.8355 7.63407 (97*2π)/95410 weeks
98-3.56445 7.31756 (98*2π)/95410 weeks
99-3.94222 6.73974 (99*2π)/95410 weeks
100-4.27984 6.65701 (100*2π)/95410 weeks
101-5.07585 6.25557 (101*2π)/9549 weeks
102-5.47165 5.55201 (102*2π)/9549 weeks
103-5.86414 4.97494 (103*2π)/9549 weeks
104-5.99674 4.42863 (104*2π)/9549 weeks
105-6.33697 3.82526 (105*2π)/9549 weeks
106-6.43231 3.37023 (106*2π)/9549 weeks
107-6.61077 2.84869 (107*2π)/9549 weeks
108-6.78994 2.38497 (108*2π)/9549 weeks
109-7.0151 1.58375 (109*2π)/9549 weeks
110-6.8698 1.00292 (110*2π)/9549 weeks
111-6.88292 .44996 (111*2π)/9549 weeks
112-6.86951 .0965 (112*2π)/9549 weeks
113-7.14439 -.76479 (113*2π)/9548 weeks
114-6.79926 -1.67333 (114*2π)/9548 weeks
115-6.35549 -2.15549 (115*2π)/9548 weeks
116-6.21981 -2.63821 (116*2π)/9548 weeks
117-5.69005 -3.27931 (117*2π)/9548 weeks
118-5.37334 -3.47163 (118*2π)/9548 weeks
119-5.07335 -4.08547 (119*2π)/9548 weeks
120-4.59314 -4.44606 (120*2π)/9548 weeks
121-4.05002 -4.90553 (121*2π)/9548 weeks
122-3.60146 -5.10283 (122*2π)/9548 weeks
123-3.11753 -5.5258 (123*2π)/9548 weeks
124-2.64031 -5.68393 (124*2π)/9548 weeks
125-2.05475 -5.98553 (125*2π)/9548 weeks
126-1.60267 -6.1585 (126*2π)/9548 weeks
127-.80403 -6.39914 (127*2π)/9548 weeks
128-.32933 -6.28623 (128*2π)/9547 weeks
129.4335 -6.53263 (129*2π)/9547 weeks
1301.19078 -6.29588 (130*2π)/9547 weeks
1311.81171 -6.13483 (131*2π)/9547 weeks
1322.33072 -5.89613 (132*2π)/9547 weeks
1332.87123 -5.40005 (133*2π)/9547 weeks
1343.14372 -5.15848 (134*2π)/9547 weeks
1353.50549 -4.93981 (135*2π)/9547 weeks
1363.8386 -4.81508 (136*2π)/9547 weeks
1374.38483 -4.69552 (137*2π)/9547 weeks
1385.06632 -4.24065 (138*2π)/9547 weeks
1395.44427 -3.52984 (139*2π)/9547 weeks
1405.51614 -3.02509 (140*2π)/9547 weeks
1415.72665 -2.71938 (141*2π)/9547 weeks
1426.09875 -2.35852 (142*2π)/9547 weeks
1436.36275 -1.77797 (143*2π)/9547 weeks
1446.48126 -1.35574 (144*2π)/9547 weeks
1456.76269 -.67505 (145*2π)/9547 weeks
1466.4893 -.0978 (146*2π)/9547 weeks
1476.74977 .04009 (147*2π)/9546 weeks
1487.06868 .70068 (148*2π)/9546 weeks
1497.00895 1.53745 (149*2π)/9546 weeks
1506.74951 2.15557 (150*2π)/9546 weeks
1516.44001 2.76738 (151*2π)/9546 weeks
1526.20786 2.9628 (152*2π)/9546 weeks
1536.36009 3.59869 (153*2π)/9546 weeks
1546.14112 4.35981 (154*2π)/9546 weeks
1555.54451 5.14288 (155*2π)/9546 weeks
1564.78108 5.31889 (156*2π)/9546 weeks
1574.44519 5.61038 (157*2π)/9546 weeks
1583.92467 5.85861 (158*2π)/9546 weeks
1593.57672 6.18057 (159*2π)/9546 weeks
1603.00481 6.52841 (160*2π)/9546 weeks
1612.30033 6.69155 (161*2π)/9546 weeks
1621.74001 6.59229 (162*2π)/9546 weeks
1631.44366 6.68746 (163*2π)/9546 weeks
164.99619 6.92181 (164*2π)/9546 weeks
165.32373 7.11376 (165*2π)/9546 weeks
166-.3301 6.97671 (166*2π)/9546 weeks
167-.92315 6.80815 (167*2π)/9546 weeks
168-1.27367 6.60703 (168*2π)/9546 weeks
169-1.83433 6.57973 (169*2π)/9546 weeks
170-2.32215 6.30355 (170*2π)/9546 weeks
171-2.8023 6.20637 (171*2π)/9546 weeks
172-3.30616 6.00213 (172*2π)/9546 weeks
173-3.98309 5.60996 (173*2π)/9546 weeks
174-4.24274 4.95394 (174*2π)/9545 weeks
175-4.40716 4.70732 (175*2π)/9545 weeks
176-4.75665 4.55431 (176*2π)/9545 weeks
177-5.38991 4.26347 (177*2π)/9545 weeks
178-5.83063 3.63781 (178*2π)/9545 weeks
179-6.22577 2.95412 (179*2π)/9545 weeks
180-6.33943 2.2596 (180*2π)/9545 weeks
181-6.40693 1.55777 (181*2π)/9545 weeks
182-6.2828 1.00284 (182*2π)/9545 weeks
183-6.2638 .62892 (183*2π)/9545 weeks
184-6.41346 .11498 (184*2π)/9545 weeks
185-6.36397 -.59002 (185*2π)/9545 weeks
186-6.15082 -1.05077 (186*2π)/9545 weeks
187-6.15895 -1.45202 (187*2π)/9545 weeks
188-6.08888 -2.07115 (188*2π)/9545 weeks
189-5.85278 -2.56853 (189*2π)/9545 weeks
190-5.69766 -3.18587 (190*2π)/9545 weeks
191-5.31301 -3.89634 (191*2π)/9545 weeks
192-4.75906 -4.39002 (192*2π)/9545 weeks
193-4.25938 -4.63881 (193*2π)/9545 weeks
194-3.93659 -4.92957 (194*2π)/9545 weeks
195-3.54336 -5.33689 (195*2π)/9545 weeks
196-2.98596 -5.68957 (196*2π)/9545 weeks
197-2.35726 -5.92304 (197*2π)/9545 weeks
198-1.85301 -6.03435 (198*2π)/9545 weeks
199-1.45832 -6.16708 (199*2π)/9545 weeks
200-.9187 -6.46281 (200*2π)/9545 weeks
201-.19394 -6.50584 (201*2π)/9545 weeks
202.37979 -6.46546 (202*2π)/9545 weeks
203.90506 -6.38222 (203*2π)/9545 weeks
2041.46128 -6.3962 (204*2π)/9545 weeks
2051.97975 -6.28272 (205*2π)/9545 weeks
2062.57974 -6.13258 (206*2π)/9545 weeks
2073.04612 -5.97881 (207*2π)/9545 weeks
2083.74506 -5.77241 (208*2π)/9545 weeks
2094.21621 -5.36591 (209*2π)/9545 weeks
2104.72499 -4.94028 (210*2π)/9545 weeks
2115.1238 -4.55187 (211*2π)/9545 weeks
2125.59237 -4.02319 (212*2π)/9545 weeks
2135.75736 -3.52187 (213*2π)/9544 weeks
2145.98349 -3.09386 (214*2π)/9544 weeks
2156.27347 -2.77248 (215*2π)/9544 weeks
2166.61902 -2.20183 (216*2π)/9544 weeks
2176.7976 -1.59446 (217*2π)/9544 weeks
2186.77551 -1.03643 (218*2π)/9544 weeks
2196.90581 -.68273 (219*2π)/9544 weeks
2207.07652 -.06543 (220*2π)/9544 weeks
2217.14588 .52591 (221*2π)/9544 weeks
2227.07254 1.21303 (222*2π)/9544 weeks
2236.88892 1.78568 (223*2π)/9544 weeks
2246.80469 2.24437 (224*2π)/9544 weeks
2256.65792 2.89942 (225*2π)/9544 weeks
2266.30211 3.47917 (226*2π)/9544 weeks
2275.98056 3.93788 (227*2π)/9544 weeks
2285.6755 4.36611 (228*2π)/9544 weeks
2295.27752 4.81836 (229*2π)/9544 weeks
2304.87297 5.17839 (230*2π)/9544 weeks
2314.54524 5.49735 (231*2π)/9544 weeks
2324.05606 6.05413 (232*2π)/9544 weeks
2333.4199 6.30685 (233*2π)/9544 weeks
2342.90572 6.48842 (234*2π)/9544 weeks
2352.40305 6.7219 (235*2π)/9544 weeks
2361.73401 6.86803 (236*2π)/9544 weeks
2371.19403 6.86373 (237*2π)/9544 weeks
238.6396 7.00308 (238*2π)/9544 weeks
239.03947 6.90315 (239*2π)/9544 weeks
240-.4554 6.90342 (240*2π)/9544 weeks
241-1.08781 6.76965 (241*2π)/9544 weeks
242-1.5326 6.57964 (242*2π)/9544 weeks
243-2.02755 6.52518 (243*2π)/9544 weeks
244-2.70983 6.42349 (244*2π)/9544 weeks
245-3.3535 5.93455 (245*2π)/9544 weeks
246-3.66173 5.59287 (246*2π)/9544 weeks
247-4.16624 5.32473 (247*2π)/9544 weeks
248-4.71648 4.91671 (248*2π)/9544 weeks
249-5.09837 4.35464 (249*2π)/9544 weeks
250-5.42442 3.82851 (250*2π)/9544 weeks
251-5.66495 3.22454 (251*2π)/9544 weeks
252-5.8383 2.6308 (252*2π)/9544 weeks
253-5.86956 2.13214 (253*2π)/9544 weeks
254-5.95937 1.64783 (254*2π)/9544 weeks
255-5.99739 1.31534 (255*2π)/9544 weeks
256-6.46642 .78409 (256*2π)/9544 weeks
257-6.39951 -.15482 (257*2π)/9544 weeks
258-6.0693 -.7472 (258*2π)/9544 weeks
259-5.87904 -.97033 (259*2π)/9544 weeks
260-6.01357 -1.50267 (260*2π)/9544 weeks
261-5.8244 -2.11907 (261*2π)/9544 weeks
262-5.61259 -2.717 (262*2π)/9544 weeks
263-5.2574 -3.21748 (263*2π)/9544 weeks
264-4.88258 -3.7066 (264*2π)/9544 weeks
265-4.4728 -3.93279 (265*2π)/9544 weeks
266-4.36893 -4.34389 (266*2π)/9544 weeks
267-3.95335 -4.94445 (267*2π)/9544 weeks
268-3.3652 -5.42825 (268*2π)/9544 weeks
269-2.66656 -5.55531 (269*2π)/9544 weeks
270-2.24098 -5.5913 (270*2π)/9544 weeks
271-1.94151 -5.7151 (271*2π)/9544 weeks
272-1.53574 -6.16431 (272*2π)/9544 weeks
273-.74562 -6.37329 (273*2π)/9543 weeks
274-.10062 -6.36908 (274*2π)/9543 weeks
275.37376 -6.2443 (275*2π)/9543 weeks
276.87624 -6.27788 (276*2π)/9543 weeks
2771.35661 -6.18074 (277*2π)/9543 weeks
2781.89348 -6.24487 (278*2π)/9543 weeks
2792.61952 -6.09037 (279*2π)/9543 weeks
2803.16509 -5.74421 (280*2π)/9543 weeks
2813.54278 -5.47873 (281*2π)/9543 weeks
2824.00078 -5.29238 (282*2π)/9543 weeks
2834.53678 -5.02828 (283*2π)/9543 weeks
2845.08406 -4.59162 (284*2π)/9543 weeks
2855.46403 -4.06548 (285*2π)/9543 weeks
2865.77368 -3.5834 (286*2π)/9543 weeks
2875.97538 -3.15545 (287*2π)/9543 weeks
2886.33295 -2.754 (288*2π)/9543 weeks
2896.5931 -2.14393 (289*2π)/9543 weeks
2906.76491 -1.67408 (290*2π)/9543 weeks
2916.98151 -1.02856 (291*2π)/9543 weeks
2927.02577 -.39088 (292*2π)/9543 weeks
2936.96862 .16785 (293*2π)/9543 weeks
2946.99259 .69857 (294*2π)/9543 weeks
2956.82503 1.2978 (295*2π)/9543 weeks
2966.77821 1.72779 (296*2π)/9543 weeks
2976.66262 2.33067 (297*2π)/9543 weeks
2986.49754 2.84527 (298*2π)/9543 weeks
2996.21845 3.37645 (299*2π)/9543 weeks
3006.01401 3.91104 (300*2π)/9543 weeks
3015.57195 4.45646 (301*2π)/9543 weeks
3025.13639 4.8184 (302*2π)/9543 weeks
3034.74827 5.15124 (303*2π)/9543 weeks
3044.35277 5.55295 (304*2π)/9543 weeks
3053.84361 5.80815 (305*2π)/9543 weeks
3063.46747 6.10429 (306*2π)/9543 weeks
3072.90332 6.44344 (307*2π)/9543 weeks
3082.28845 6.58104 (308*2π)/9543 weeks
3091.8162 6.68145 (309*2π)/9543 weeks
3101.28265 6.8647 (310*2π)/9543 weeks
311.66954 6.85936 (311*2π)/9543 weeks
312.15215 6.93885 (312*2π)/9543 weeks
313-.48722 6.89514 (313*2π)/9543 weeks
314-.99871 6.77415 (314*2π)/9543 weeks
315-1.51491 6.66323 (315*2π)/9543 weeks
316-2.14955 6.57737 (316*2π)/9543 weeks
317-2.77431 6.20228 (317*2π)/9543 weeks
318-3.15414 5.89582 (318*2π)/9543 weeks
319-3.56743 5.66586 (319*2π)/9543 weeks
320-4.1027 5.40202 (320*2π)/9543 weeks
321-4.60862 4.8706 (321*2π)/9543 weeks
322-4.92455 4.41026 (322*2π)/9543 weeks
323-5.24389 3.94436 (323*2π)/9543 weeks
324-5.50382 3.45543 (324*2π)/9543 weeks
325-5.74421 2.97212 (325*2π)/9543 weeks
326-5.9078 2.44049 (326*2π)/9543 weeks
327-6.06161 2.0178 (327*2π)/9543 weeks
328-6.33716 1.51195 (328*2π)/9543 weeks
329-6.46709 .81885 (329*2π)/9543 weeks
330-6.35848 .23261 (330*2π)/9543 weeks
331-6.32191 -.24927 (331*2π)/9543 weeks
332-6.34375 -.79295 (332*2π)/9543 weeks
333-6.24439 -1.49035 (333*2π)/9543 weeks
334-5.9543 -2.02007 (334*2π)/9543 weeks
335-5.74289 -2.41107 (335*2π)/9543 weeks
336-5.59629 -2.90439 (336*2π)/9543 weeks
337-5.33332 -3.38253 (337*2π)/9543 weeks
338-5.12734 -3.91816 (338*2π)/9543 weeks
339-4.68788 -4.46455 (339*2π)/9543 weeks
340-4.24342 -4.89444 (340*2π)/9543 weeks
341-3.68806 -5.24608 (341*2π)/9543 weeks
342-3.20177 -5.46392 (342*2π)/9543 weeks
343-2.76479 -5.71406 (343*2π)/9543 weeks
344-2.2879 -6.03364 (344*2π)/9543 weeks
345-1.64468 -6.2863 (345*2π)/9543 weeks
346-.97372 -6.28377 (346*2π)/9543 weeks
347-.52538 -6.24809 (347*2π)/9543 weeks
348-.10084 -6.30093 (348*2π)/9543 weeks
349.38067 -6.39128 (349*2π)/9543 weeks
350.90434 -6.4316 (350*2π)/9543 weeks
3511.5663 -6.46331 (351*2π)/9543 weeks
3522.21064 -6.27031 (352*2π)/9543 weeks
3532.81399 -6.01828 (353*2π)/9543 weeks
3543.26429 -5.71628 (354*2π)/9543 weeks
3553.72073 -5.46969 (355*2π)/9543 weeks
3564.21658 -5.165 (356*2π)/9543 weeks
3574.67851 -4.78024 (357*2π)/9543 weeks
3585.04293 -4.34479 (358*2π)/9543 weeks
3595.41919 -3.97042 (359*2π)/9543 weeks
3605.78115 -3.48535 (360*2π)/9543 weeks
3616.03436 -2.9415 (361*2π)/9543 weeks
3626.22895 -2.45824 (362*2π)/9543 weeks
3636.36968 -1.96588 (363*2π)/9543 weeks
3646.5454 -1.53922 (364*2π)/9543 weeks
3656.77123 -.92841 (365*2π)/9543 weeks
3666.80689 -.30675 (366*2π)/9543 weeks
3676.76775 .25326 (367*2π)/9543 weeks
3686.74905 .71396 (368*2π)/9543 weeks
3696.71806 1.29508 (369*2π)/9543 weeks
3706.59019 1.86143 (370*2π)/9543 weeks
3716.39383 2.38775 (371*2π)/9543 weeks
3726.24614 2.92265 (372*2π)/9543 weeks
3735.89636 3.5004 (373*2π)/9543 weeks
3745.55177 3.90581 (374*2π)/9543 weeks
3755.28216 4.3046 (375*2π)/9543 weeks
3764.91694 4.8098 (376*2π)/9543 weeks
3774.39856 5.23704 (377*2π)/9543 weeks
3783.88245 5.45437 (378*2π)/9543 weeks
3793.50628 5.63649 (379*2π)/9543 weeks
3803.17685 5.97726 (380*2π)/9543 weeks
3812.64212 6.30733 (381*2π)/9543 weeks
3821.96589 6.53734 (382*2π)/9542 weeks
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