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# Fourier Analysis of TNGN (TENGION INC)

TNGN (TENGION INC) appears to have interesting cyclic behaviour every 36 weeks (1.8784*sine), 33 weeks (1.5501*sine), and 14 weeks (.6471*cosine).

TNGN (TENGION INC) has an average price of 6.53 (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 4/9/2010 to 3/6/2017 for TNGN (TENGION INC), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
06.53016   0
18.92613 6.60862 (1*2π)/362362 weeks
23.77288 7.03588 (2*2π)/362181 weeks
31.01629 5.36654 (3*2π)/362121 weeks
4-.02784 3.61557 (4*2π)/36291 weeks
5-.10774 2.0379 (5*2π)/36272 weeks
6.81163 1.22748 (6*2π)/36260 weeks
71.45344 1.74987 (7*2π)/36252 weeks
81.04459 2.3224 (8*2π)/36245 weeks
9.3803 2.20352 (9*2π)/36240 weeks
10.11348 1.87839 (10*2π)/36236 weeks
11-.12487 1.55008 (11*2π)/36233 weeks
12-.14549 1.1787 (12*2π)/36230 weeks
13-.09897 .8335 (13*2π)/36228 weeks
14.28049 .5737 (14*2π)/36226 weeks
15.57617 .84506 (15*2π)/36224 weeks
16.4299 1.09622 (16*2π)/36223 weeks
17.16972 1.10171 (17*2π)/36221 weeks
18.02345 .92084 (18*2π)/36220 weeks
19.02845 .77536 (19*2π)/36219 weeks
20.02322 .69636 (20*2π)/36218 weeks
21.02175 .62016 (21*2π)/36217 weeks
22-.01517 .52766 (22*2π)/36216 weeks
23-.01461 .3657 (23*2π)/36216 weeks
24.13038 .15262 (24*2π)/36215 weeks
25.44762 .14476 (25*2π)/36214 weeks
26.64706 .37238 (26*2π)/36214 weeks
27.61585 .69194 (27*2π)/36213 weeks
28.32254 .85446 (28*2π)/36213 weeks
29.0547 .73906 (29*2π)/36212 weeks
30-.05776 .49491 (30*2π)/36212 weeks
31.06766 .26998 (31*2π)/36212 weeks
32.22966 .25853 (32*2π)/36211 weeks
33.32635 .27806 (33*2π)/36211 weeks
34.42394 .38995 (34*2π)/36211 weeks
35.36075 .54806 (35*2π)/36210 weeks
36.18317 .5857 (36*2π)/36210 weeks
37.05768 .43516 (37*2π)/36210 weeks
38.12892 .29731 (38*2π)/36210 weeks
39.21091 .29469 (39*2π)/3629 weeks
40.23109 .32219 (40*2π)/3629 weeks
41.19782 .30802 (41*2π)/3629 weeks
42.2488 .24347 (42*2π)/3629 weeks
43.32087 .27649 (43*2π)/3628 weeks
44.3397 .34362 (44*2π)/3628 weeks
45.27853 .37647 (45*2π)/3628 weeks
46.283 .32423 (46*2π)/3628 weeks
47.33815 .36177 (47*2π)/3628 weeks
48.31764 .43969 (48*2π)/3628 weeks
49.22744 .45944 (49*2π)/3627 weeks
50.20352 .39593 (50*2π)/3627 weeks
51.23359 .407 (51*2π)/3627 weeks
52.20937 .43894 (52*2π)/3627 weeks
53.16153 .45985 (53*2π)/3627 weeks
54.10227 .44109 (54*2π)/3627 weeks
55.0335 .41534 (55*2π)/3627 weeks
56.00009 .2856 (56*2π)/3626 weeks
57.09342 .22978 (57*2π)/3626 weeks
58.13747 .24154 (58*2π)/3626 weeks
59.18734 .27456 (59*2π)/3626 weeks
60.15031 .36788 (60*2π)/3626 weeks
61.02127 .3451 (61*2π)/3626 weeks
62-.00804 .20516 (62*2π)/3626 weeks
63.10437 .12788 (63*2π)/3626 weeks
64.17636 .18755 (64*2π)/3626 weeks
65.17434 .21386 (65*2π)/3626 weeks
66.19435 .24708 (66*2π)/3625 weeks
67.17116 .31538 (67*2π)/3625 weeks
68.05448 .33934 (68*2π)/3625 weeks
69-.01852 .21512 (69*2π)/3625 weeks
70.05326 .12887 (70*2π)/3625 weeks
71.10976 .13383 (71*2π)/3625 weeks
72.13213 .14613 (72*2π)/3625 weeks
73.14979 .15232 (73*2π)/3625 weeks
74.17055 .18973 (74*2π)/3625 weeks
75.12786 .21863 (75*2π)/3625 weeks
76.10341 .21423 (76*2π)/3625 weeks
77.04384 .19872 (77*2π)/3625 weeks
78.02915 .11067 (78*2π)/3625 weeks
79.08434 .05614 (79*2π)/3625 weeks
80.14442 .05109 (80*2π)/3625 weeks
81.18168 .06379 (81*2π)/3624 weeks
82.24129 .09448 (82*2π)/3624 weeks
83.22796 .19439 (83*2π)/3624 weeks
84.14227 .19812 (84*2π)/3624 weeks
85.13063 .15098 (85*2π)/3624 weeks
86.14861 .15464 (86*2π)/3624 weeks
87.11152 .16911 (87*2π)/3624 weeks
88.08248 .10983 (88*2π)/3624 weeks
89.12649 .06565 (89*2π)/3624 weeks
90.17152 .07013 (90*2π)/3624 weeks
91.20741 .09911 (91*2π)/3624 weeks
92.19693 .16441 (92*2π)/3624 weeks
93.11583 .1766 (93*2π)/3624 weeks
94.07363 .09209 (94*2π)/3624 weeks
95.13574 .02802 (95*2π)/3624 weeks
96.19499 .03946 (96*2π)/3624 weeks
97.23909 .06125 (97*2π)/3624 weeks
98.27175 .13026 (98*2π)/3624 weeks
99.22715 .21743 (99*2π)/3624 weeks
100.10206 .2251 (100*2π)/3624 weeks
101.04851 .10208 (101*2π)/3624 weeks
102.12223 .02481 (102*2π)/3624 weeks
103.19959 .02731 (103*2π)/3624 weeks
104.24926 .08167 (104*2π)/3623 weeks
105.23621 .13779 (105*2π)/3623 weeks
106.20857 .16185 (106*2π)/3623 weeks
107.18685 .16567 (107*2π)/3623 weeks
108.17029 .17918 (108*2π)/3623 weeks
109.13893 .17776 (109*2π)/3623 weeks
110.12031 .16893 (110*2π)/3623 weeks
111.09182 .16017 (111*2π)/3623 weeks
112.06542 .12555 (112*2π)/3623 weeks
113.0662 .07234 (113*2π)/3623 weeks
114.11231 .03381 (114*2π)/3623 weeks
115.17265 .04889 (115*2π)/3623 weeks
116.19198 .11365 (116*2π)/3623 weeks
117.13935 .16928 (117*2π)/3623 weeks
118.0519 .15483 (118*2π)/3623 weeks
119.00969 .06435 (119*2π)/3623 weeks
120.06136 -.01002 (120*2π)/3623 weeks
121.11185 -.01269 (121*2π)/3623 weeks
122.13761 -.01644 (122*2π)/3623 weeks
123.17796 -.01032 (123*2π)/3623 weeks
124.19884 .02946 (124*2π)/3623 weeks
125.1755 .06273 (125*2π)/3623 weeks
126.14381 .04403 (126*2π)/3623 weeks
127.15454 .02414 (127*2π)/3623 weeks
128.15714 .01699 (128*2π)/3623 weeks
129.16528 -.0147 (129*2π)/3623 weeks
130.23027 -.02999 (130*2π)/3623 weeks
131.27948 .02571 (131*2π)/3623 weeks
132.27437 .08221 (132*2π)/3623 weeks
133.26132 .13546 (133*2π)/3623 weeks
134.18798 .18704 (134*2π)/3623 weeks
135.08943 .15221 (135*2π)/3623 weeks
136.06202 .05143 (136*2π)/3623 weeks
137.11317 -.01542 (137*2π)/3623 weeks
138.16992 -.04225 (138*2π)/3623 weeks
139.26388 -.03402 (139*2π)/3623 weeks
140.30406 .0713 (140*2π)/3623 weeks
141.25347 .134 (141*2π)/3623 weeks
142.20482 .16211 (142*2π)/3623 weeks
143.12109 .15799 (143*2π)/3623 weeks
144.07402 .06375 (144*2π)/3623 weeks
145.14052 -.01942 (145*2π)/3622 weeks
146.22291 .00347 (146*2π)/3622 weeks
147.2415 .03788 (147*2π)/3622 weeks
148.27948 .0734 (148*2π)/3622 weeks
149.26635 .16202 (149*2π)/3622 weeks
150.18329 .19441 (150*2π)/3622 weeks
151.12321 .1585 (151*2π)/3622 weeks
152.11093 .11767 (152*2π)/3622 weeks
153.10387 .07565 (153*2π)/3622 weeks
154.15638 .02879 (154*2π)/3622 weeks
155.22235 .06794 (155*2π)/3622 weeks
156.22668 .13412 (156*2π)/3622 weeks
157.18476 .18545 (157*2π)/3622 weeks
158.13491 .1956 (158*2π)/3622 weeks
159.07882 .2027 (159*2π)/3622 weeks
160.01223 .15811 (160*2π)/3622 weeks
161-.00202 .07744 (161*2π)/3622 weeks
162.05139 .02796 (162*2π)/3622 weeks
163.07573 .05019 (163*2π)/3622 weeks
164.06634 .02694 (164*2π)/3622 weeks
165.10991 .01859 (165*2π)/3622 weeks
166.12077 .05466 (166*2π)/3622 weeks
167.09856 .07031 (167*2π)/3622 weeks
168.07904 .07182 (168*2π)/3622 weeks
169.04112 .05971 (169*2π)/3622 weeks
170.02368 -.0025 (170*2π)/3622 weeks
171.07621 -.05778 (171*2π)/3622 weeks
172.14136 -.04338 (172*2π)/3622 weeks
173.17055 -.01255 (173*2π)/3622 weeks
174.19737 .03511 (174*2π)/3622 weeks
175.17375 .11254 (175*2π)/3622 weeks
176.08238 .13544 (176*2π)/3622 weeks
177.03082 .08035 (177*2π)/3622 weeks
178.02495 .04501 (178*2π)/3622 weeks
179.01927 -.00372 (179*2π)/3622 weeks
180.0694 -.03005 (180*2π)/3622 weeks
181.09299   (181*2π)/3622 weeks
182.0694 .03005 (182*2π)/3622 weeks
183.01927 .00372 (183*2π)/3622 weeks
184.02495 -.04501 (184*2π)/3622 weeks
185.03082 -.08035 (185*2π)/3622 weeks
186.08238 -.13544 (186*2π)/3622 weeks
187.17375 -.11254 (187*2π)/3622 weeks
188.19737 -.03511 (188*2π)/3622 weeks
189.17055 .01255 (189*2π)/3622 weeks
190.14136 .04338 (190*2π)/3622 weeks
191.07621 .05778 (191*2π)/3622 weeks
192.02368 .0025 (192*2π)/3622 weeks
193.04112 -.05971 (193*2π)/3622 weeks
194.07904 -.07182 (194*2π)/3622 weeks
195.09856 -.07031 (195*2π)/3622 weeks
196.12077 -.05466 (196*2π)/3622 weeks
197.10991 -.01859 (197*2π)/3622 weeks
198.06634 -.02694 (198*2π)/3622 weeks
199.07573 -.05019 (199*2π)/3622 weeks
200.05139 -.02796 (200*2π)/3622 weeks
201-.00202 -.07744 (201*2π)/3622 weeks
202.01223 -.15811 (202*2π)/3622 weeks
203.07882 -.2027 (203*2π)/3622 weeks
204.13491 -.1956 (204*2π)/3622 weeks
205.18476 -.18545 (205*2π)/3622 weeks
206.22668 -.13412 (206*2π)/3622 weeks
207.22235 -.06794 (207*2π)/3622 weeks
208.15638 -.02879 (208*2π)/3622 weeks
209.10387 -.07565 (209*2π)/3622 weeks
210.11093 -.11767 (210*2π)/3622 weeks
211.12321 -.1585 (211*2π)/3622 weeks
212.18329 -.19441 (212*2π)/3622 weeks
213.26635 -.16202 (213*2π)/3622 weeks
214.27948 -.0734 (214*2π)/3622 weeks
215.2415 -.03788 (215*2π)/3622 weeks
216.22291 -.00347 (216*2π)/3622 weeks
217.14052 .01942 (217*2π)/3622 weeks
218.07402 -.06375 (218*2π)/3622 weeks
219.12109 -.15799 (219*2π)/3622 weeks
220.20482 -.16211 (220*2π)/3622 weeks
221.25347 -.134 (221*2π)/3622 weeks
222.30406 -.0713 (222*2π)/3622 weeks
223.26388 .03402 (223*2π)/3622 weeks
224.16992 .04225 (224*2π)/3622 weeks
225.11317 .01542 (225*2π)/3622 weeks
226.06202 -.05143 (226*2π)/3622 weeks
227.08943 -.15221 (227*2π)/3622 weeks
228.18798 -.18704 (228*2π)/3622 weeks
229.26132 -.13546 (229*2π)/3622 weeks
230.27437 -.08221 (230*2π)/3622 weeks
231.27948 -.02571 (231*2π)/3622 weeks
232.23027 .02999 (232*2π)/3622 weeks
233.16528 .0147 (233*2π)/3622 weeks
234.15714 -.01699 (234*2π)/3622 weeks
235.15454 -.02414 (235*2π)/3622 weeks
236.14381 -.04403 (236*2π)/3622 weeks
237.1755 -.06273 (237*2π)/3622 weeks
238.19884 -.02946 (238*2π)/3622 weeks
239.17796 .01032 (239*2π)/3622 weeks
240.13761 .01644 (240*2π)/3622 weeks
241.11185 .01269 (241*2π)/3622 weeks
242.06136 .01002 (242*2π)/3621 weeks
243.00969 -.06435 (243*2π)/3621 weeks
244.0519 -.15483 (244*2π)/3621 weeks
245.13935 -.16928 (245*2π)/3621 weeks
246.19198 -.11365 (246*2π)/3621 weeks
247.17265 -.04889 (247*2π)/3621 weeks
248.11231 -.03381 (248*2π)/3621 weeks
249.0662 -.07234 (249*2π)/3621 weeks
250.06542 -.12555 (250*2π)/3621 weeks
251.09182 -.16017 (251*2π)/3621 weeks
252.12031 -.16893 (252*2π)/3621 weeks
253.13893 -.17776 (253*2π)/3621 weeks
254.17029 -.17918 (254*2π)/3621 weeks
255.18685 -.16567 (255*2π)/3621 weeks
256.20857 -.16185 (256*2π)/3621 weeks
257.23621 -.13779 (257*2π)/3621 weeks
258.24926 -.08167 (258*2π)/3621 weeks
259.19959 -.02731 (259*2π)/3621 weeks
260.12223 -.02481 (260*2π)/3621 weeks
261.04851 -.10208 (261*2π)/3621 weeks
262.10206 -.2251 (262*2π)/3621 weeks
263.22715 -.21743 (263*2π)/3621 weeks
264.27175 -.13026 (264*2π)/3621 weeks
265.23909 -.06125 (265*2π)/3621 weeks
266.19499 -.03946 (266*2π)/3621 weeks
267.13574 -.02802 (267*2π)/3621 weeks
268.07363 -.09209 (268*2π)/3621 weeks
269.11583 -.1766 (269*2π)/3621 weeks
270.19693 -.16441 (270*2π)/3621 weeks
271.20741 -.09911 (271*2π)/3621 weeks
272.17152 -.07013 (272*2π)/3621 weeks
273.12649 -.06565 (273*2π)/3621 weeks
274.08248 -.10983 (274*2π)/3621 weeks
275.11152 -.16911 (275*2π)/3621 weeks
276.14861 -.15464 (276*2π)/3621 weeks
277.13063 -.15098 (277*2π)/3621 weeks
278.14227 -.19812 (278*2π)/3621 weeks
279.22796 -.19439 (279*2π)/3621 weeks
280.24129 -.09448 (280*2π)/3621 weeks
281.18168 -.06379 (281*2π)/3621 weeks
282.14442 -.05109 (282*2π)/3621 weeks
283.08434 -.05614 (283*2π)/3621 weeks
284.02915 -.11067 (284*2π)/3621 weeks
285.04384 -.19872 (285*2π)/3621 weeks
286.10341 -.21423 (286*2π)/3621 weeks
287.12786 -.21863 (287*2π)/3621 weeks
288.17055 -.18973 (288*2π)/3621 weeks
289.14979 -.15232 (289*2π)/3621 weeks
290.13213 -.14613 (290*2π)/3621 weeks
291.10976 -.13383 (291*2π)/3621 weeks
292.05326 -.12887 (292*2π)/3621 weeks
293-.01852 -.21512 (293*2π)/3621 weeks
294.05448 -.33934 (294*2π)/3621 weeks
295.17116 -.31538 (295*2π)/3621 weeks
296.19435 -.24708 (296*2π)/3621 weeks
297.17434 -.21386 (297*2π)/3621 weeks
298.17636 -.18755 (298*2π)/3621 weeks
299.10437 -.12788 (299*2π)/3621 weeks
300-.00804 -.20516 (300*2π)/3621 weeks
301.02127 -.3451 (301*2π)/3621 weeks
302.15031 -.36788 (302*2π)/3621 weeks
303.18734 -.27456 (303*2π)/3621 weeks
304.13747 -.24154 (304*2π)/3621 weeks
305.09342 -.22978 (305*2π)/3621 weeks
306.00009 -.2856 (306*2π)/3621 weeks
307.0335 -.41534 (307*2π)/3621 weeks
308.10227 -.44109 (308*2π)/3621 weeks
309.16153 -.45985 (309*2π)/3621 weeks
310.20937 -.43894 (310*2π)/3621 weeks
311.23359 -.407 (311*2π)/3621 weeks
312.20352 -.39593 (312*2π)/3621 weeks
313.22744 -.45944 (313*2π)/3621 weeks
314.31764 -.43969 (314*2π)/3621 weeks
315.33815 -.36177 (315*2π)/3621 weeks
316.283 -.32423 (316*2π)/3621 weeks
317.27853 -.37647 (317*2π)/3621 weeks
318.3397 -.34362 (318*2π)/3621 weeks
319.32087 -.27649 (319*2π)/3621 weeks
320.2488 -.24347 (320*2π)/3621 weeks
321.19782 -.30802 (321*2π)/3621 weeks
322.23109 -.32219 (322*2π)/3621 weeks
323.21091 -.29469 (323*2π)/3621 weeks
324.12892 -.29731 (324*2π)/3621 weeks
325.05768 -.43516 (325*2π)/3621 weeks
326.18317 -.5857 (326*2π)/3621 weeks
327.36075 -.54806 (327*2π)/3621 weeks
328.42394 -.38995 (328*2π)/3621 weeks
329.32635 -.27806 (329*2π)/3621 weeks
330.22966 -.25853 (330*2π)/3621 weeks
331.06766 -.26998 (331*2π)/3621 weeks
332-.05776 -.49491 (332*2π)/3621 weeks
333.0547 -.73906 (333*2π)/3621 weeks
334.32254 -.85446 (334*2π)/3621 weeks
335.61585 -.69194 (335*2π)/3621 weeks
336.64706 -.37238 (336*2π)/3621 weeks
337.44762 -.14476 (337*2π)/3621 weeks
338.13038 -.15262 (338*2π)/3621 weeks
339-.01461 -.3657 (339*2π)/3621 weeks
340-.01517 -.52766 (340*2π)/3621 weeks
341.02175 -.62016 (341*2π)/3621 weeks
342.02322 -.69636 (342*2π)/3621 weeks
343.02845 -.77536 (343*2π)/3621 weeks
344.02345 -.92084 (344*2π)/3621 weeks
345.16972 -1.10171 (345*2π)/3621 weeks
346.4299 -1.09622 (346*2π)/3621 weeks
347.57617 -.84506 (347*2π)/3621 weeks
348.28049 -.5737 (348*2π)/3621 weeks
349-.09897 -.8335 (349*2π)/3621 weeks
350-.14549 -1.1787 (350*2π)/3621 weeks
351-.12487 -1.55008 (351*2π)/3621 weeks
352.11348 -1.87839 (352*2π)/3621 weeks
353.3803 -2.20352 (353*2π)/3621 weeks
3541.04459 -2.3224 (354*2π)/3621 weeks
3551.45344 -1.74987 (355*2π)/3621 weeks
356.81163 -1.22748 (356*2π)/3621 weeks
357-.10774 -2.0379 (357*2π)/3621 weeks
358-.02784 -3.61557 (358*2π)/3621 weeks
3591.01629 -5.36654 (359*2π)/3621 weeks
3603.77288 -7.03588 (360*2π)/3621 weeks