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# Fourier Analysis of SNTS (Santarus, Inc.)

SNTS (Santarus, Inc.) appears to have interesting cyclic behaviour every 56 weeks (1160.681*sine), 45 weeks (942.4938*sine), and 61 weeks (664.4552*sine).

SNTS (Santarus, Inc.) has an average price of 10,443.22 (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 4/1/2004 to 3/13/2017 for SNTS (Santarus, Inc.), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
010,443.22   0
11,301.194 -8,364.932 (1*2π)/672672 weeks
2113.8696 -6,757.978 (2*2π)/672336 weeks
3162.183 -1,864.449 (3*2π)/672224 weeks
4-96.59886 -627.2037 (4*2π)/672168 weeks
5-597.189 -2,667.423 (5*2π)/672134 weeks
6397.0722 -1,362.297 (6*2π)/672112 weeks
7245.1693 -128.8163 (7*2π)/67296 weeks
8-597.8892 -1,108.849 (8*2π)/67284 weeks
9367.6878 -1,310.84 (9*2π)/67275 weeks
10592.5706 -402.8929 (10*2π)/67267 weeks
11-436.5154 -664.4552 (11*2π)/67261 weeks
12-347.5527 -1,160.681 (12*2π)/67256 weeks
13629.6771 -441.9978 (13*2π)/67252 weeks
14-213.8426 -205.6955 (14*2π)/67248 weeks
15-417.9042 -942.4938 (15*2π)/67245 weeks
16317.3089 -513.2417 (16*2π)/67242 weeks
17107.1679 -20.31634 (17*2π)/67240 weeks
18-232.1125 -593.0642 (18*2π)/67237 weeks
19166.1542 -820.2351 (19*2π)/67235 weeks
20-43.16019 -48.44886 (20*2π)/67234 weeks
2161.6457 -390.0383 (21*2π)/67232 weeks
22-13.13245 -636.4233 (22*2π)/67231 weeks
23-144.8544 -710.0841 (23*2π)/67229 weeks
24-225.8989 150.316 (24*2π)/67228 weeks
25-73.0446 -356.4318 (25*2π)/67227 weeks
26168.8339 -369.2345 (26*2π)/67226 weeks
27-136.4998 -445.5199 (27*2π)/67225 weeks
28-45.61013 18.89128 (28*2π)/67224 weeks
29-195.2212 -505.8329 (29*2π)/67223 weeks
3052.66182 -139.1702 (30*2π)/67222 weeks
3159.63643 -161.8339 (31*2π)/67222 weeks
32-103.4276 -133.2878 (32*2π)/67221 weeks
33-34.14402 -508.965 (33*2π)/67220 weeks
34241.617 -87.84311 (34*2π)/67220 weeks
35-158.9957 -200.8911 (35*2π)/67219 weeks
36-269.4407 -497.4757 (36*2π)/67219 weeks
37269.1644 -121.2798 (37*2π)/67218 weeks
38-215.0186 -58.27891 (38*2π)/67218 weeks
39-235.5442 -297.3532 (39*2π)/67217 weeks
40237.2999 -257.7522 (40*2π)/67217 weeks
41-87.80335 156.3302 (41*2π)/67216 weeks
42-23.21719 -469.8481 (42*2π)/67216 weeks
43-6.6604 -171.6724 (43*2π)/67216 weeks
449.14569 -174.5912 (44*2π)/67215 weeks
45-136.0304 -110.4701 (45*2π)/67215 weeks
4611.00403 -280.0947 (46*2π)/67215 weeks
47-55.5167 -152.6533 (47*2π)/67214 weeks
48-88.16572 -17.02204 (48*2π)/67214 weeks
49149.4409 -262.5088 (49*2π)/67214 weeks
50-194.2588 -102.8266 (50*2π)/67213 weeks
5164.09469 -302.8512 (51*2π)/67213 weeks
5245.72033 81.35568 (52*2π)/67213 weeks
53-91.97018 -330.3969 (53*2π)/67213 weeks
54-82.1786 -341.0323 (54*2π)/67212 weeks
55106.653 109.6424 (55*2π)/67212 weeks
56-313.248 -254.9343 (56*2π)/67212 weeks
5788.55637 -164.5218 (57*2π)/67212 weeks
5851.56954 -145.5715 (58*2π)/67212 weeks
59-164.3277 79.9132 (59*2π)/67211 weeks
60-72.5112 -486.7849 (60*2π)/67211 weeks
61184.2177 111.1103 (61*2π)/67211 weeks
62-248.1821 -279.4734 (62*2π)/67211 weeks
63-170.3092 -25.31464 (63*2π)/67211 weeks
64225.6737 -181.3941 (64*2π)/67211 weeks
65-163.4989 47.8969 (65*2π)/67210 weeks
66-75.61392 -343.975 (66*2π)/67210 weeks
6761.14551 58.7544 (67*2π)/67210 weeks
68-50.22817 -150.3505 (68*2π)/67210 weeks
69-38.83531 -291.6098 (69*2π)/67210 weeks
70-63.58911 17.10235 (70*2π)/67210 weeks
71-235.798 -172.959 (71*2π)/6729 weeks
72141.4733 -36.16352 (72*2π)/6729 weeks
73-55.28141 -39.14487 (73*2π)/6729 weeks
74-206.8088 -176.5715 (74*2π)/6729 weeks
7595.30087 -105.3371 (75*2π)/6729 weeks
7660.39363 173.1017 (76*2π)/6729 weeks
77-145.9014 -387.1863 (77*2π)/6729 weeks
7813.80598 -153.5077 (78*2π)/6729 weeks
79-16.71774 144.189 (79*2π)/6729 weeks
80-198.8476 -178.2548 (80*2π)/6728 weeks
81186.7014 -207.4906 (81*2π)/6728 weeks
82-172.2765 91.08195 (82*2π)/6728 weeks
8334.36817 -147.56 (83*2π)/6728 weeks
84-75.51775 -105.1716 (84*2π)/6728 weeks
85192.4867 -147.0683 (85*2π)/6728 weeks
86-324.1411 -105.04 (86*2π)/6728 weeks
8770.04219 -122.04 (87*2π)/6728 weeks
88-84.53535 -9.05209 (88*2π)/6728 weeks
89-11.49343 -156.4107 (89*2π)/6728 weeks
90-165.2454 -80.24248 (90*2π)/6727 weeks
9162.94248 146.0087 (91*2π)/6727 weeks
92-44.73672 -315.3473 (92*2π)/6727 weeks
93131.4471 74.08311 (93*2π)/6727 weeks
94-247.0466 -223.8392 (94*2π)/6727 weeks
9580.40505 -36.19031 (95*2π)/6727 weeks
96-42.14692 -150.7703 (96*2π)/6727 weeks
97-76.22186 5.93137 (97*2π)/6727 weeks
98-149.8181 -199.8833 (98*2π)/6727 weeks
9972.58118 5.94036 (99*2π)/6727 weeks
100-39.00643 -7.09079 (100*2π)/6727 weeks
101-167.8329 -232.4797 (101*2π)/6727 weeks
1021.80618 -7.04357 (102*2π)/6727 weeks
103-4.99126 57.86732 (103*2π)/6727 weeks
104-126.6571 -113.8082 (104*2π)/6726 weeks
10579.25468 -197.9974 (105*2π)/6726 weeks
106-106.6017 177.4691 (106*2π)/6726 weeks
107-27.40233 -279.696 (107*2π)/6726 weeks
108-15.66716 61.84448 (108*2π)/6726 weeks
109-40.09203 -174.8797 (109*2π)/6726 weeks
110-146.5814 9.03567 (110*2π)/6726 weeks
11162.91899 -48.41365 (111*2π)/6726 weeks
112-134.4274 -31.18084 (112*2π)/6726 weeks
11355.56054 -140.4373 (113*2π)/6726 weeks
114-169.6908 115.877 (114*2π)/6726 weeks
115147.9368 -80.83906 (115*2π)/6726 weeks
116-114.7248 -145.6469 (116*2π)/6726 weeks
11760.87124 -7.82363 (117*2π)/6726 weeks
118-162.7531 14.13533 (118*2π)/6726 weeks
119135.1297 -161.0193 (119*2π)/6726 weeks
120-61.88201 -54.57502 (120*2π)/6726 weeks
121-69.18362 -35.19304 (121*2π)/6726 weeks
122-77.65971 -90.32706 (122*2π)/6726 weeks
12386.75089 -46.80319 (123*2π)/6725 weeks
124-35.20758 -57.18319 (124*2π)/6725 weeks
125-213.875 -142.0987 (125*2π)/6725 weeks
126113.0088 29.54633 (126*2π)/6725 weeks
127-63.00132 -11.64355 (127*2π)/6725 weeks
128-9.67537 -144.926 (128*2π)/6725 weeks
129-115.4724 -100.16 (129*2π)/6725 weeks
13064.99909 121.9796 (130*2π)/6725 weeks
131-123.722 -238.482 (131*2π)/6725 weeks
13281.70473 77.44588 (132*2π)/6725 weeks
133-175.6538 -178.3554 (133*2π)/6725 weeks
13489.00479 75.58224 (134*2π)/6725 weeks
135-80.16268 -147.011 (135*2π)/6725 weeks
13634.46639 -29.81394 (136*2π)/6725 weeks
137-196.4384 -193.8239 (137*2π)/6725 weeks
13874.44242 131.2459 (138*2π)/6725 weeks
139-111.758 -42.1826 (139*2π)/6725 weeks
1401.83485 -293.5117 (140*2π)/6725 weeks
141-21.13018 234.4318 (141*2π)/6725 weeks
142-175.9372 -134.767 (142*2π)/6725 weeks
143186.1143 -118.2374 (143*2π)/6725 weeks
144-153.0995 -10.62323 (144*2π)/6725 weeks
145-101.4203 -11.49654 (145*2π)/6725 weeks
14623.93758 -129.4884 (146*2π)/6725 weeks
14718.20302 91.28957 (147*2π)/6725 weeks
148-143.2474 -211.7035 (148*2π)/6725 weeks
14912.77797 50.0311 (149*2π)/6725 weeks
150-97.2304 -7.25867 (150*2π)/6724 weeks
15176.57189 -113.4832 (151*2π)/6724 weeks
152-115.9233 -42.52024 (152*2π)/6724 weeks
153-117.5591 25.07379 (153*2π)/6724 weeks
15497.09329 -72.69267 (154*2π)/6724 weeks
155-41.14746 14.32924 (155*2π)/6724 weeks
156-104.3089 -127.9948 (156*2π)/6724 weeks
1578.7048 50.24098 (157*2π)/6724 weeks
15847.33578 -124.9199 (158*2π)/6724 weeks
159-102.2875 81.05939 (159*2π)/6724 weeks
160-7.53021 -333.5711 (160*2π)/6724 weeks
161-46.66872 236.6702 (161*2π)/6724 weeks
162-111.9868 -219.584 (162*2π)/6724 weeks
163114.5574 59.28508 (163*2π)/6724 weeks
164-222.7351 -184.8563 (164*2π)/6724 weeks
16549.50171 90.32839 (165*2π)/6724 weeks
166-81.83382 -43.66952 (166*2π)/6724 weeks
16712.82682 -127.0327 (167*2π)/6724 weeks
168-165.8541 14.12263 (168*2π)/6724 weeks
16999.00991 18.26868 (169*2π)/6724 weeks
170-177.93 -33.74689 (170*2π)/6724 weeks
171136.6719 -157.9011 (171*2π)/6724 weeks
172-206.9767 114.0207 (172*2π)/6724 weeks
17323.22158 -76.3259 (173*2π)/6724 weeks
174-8.18798 -19.75389 (174*2π)/6724 weeks
17554.86215 -57.00899 (175*2π)/6724 weeks
176-214.5596 -90.43399 (176*2π)/6724 weeks
17770.81906 57.96505 (177*2π)/6724 weeks
178-41.6565 -117.6204 (178*2π)/6724 weeks
179-64.07127 -32.37666 (179*2π)/6724 weeks
180-108.0469 1.11753 (180*2π)/6724 weeks
181-14.89224 -18.30979 (181*2π)/6724 weeks
18262.28851 -2.9903 (182*2π)/6724 weeks
183-168.535 -74.30873 (183*2π)/6724 weeks
18461.48227 8.52487 (184*2π)/6724 weeks
185-94.99372 -63.25435 (185*2π)/6724 weeks
18630.76131 61.6432 (186*2π)/6724 weeks
187-38.58079 -179.1613 (187*2π)/6724 weeks
188-150.443 104.7485 (188*2π)/6724 weeks
189159.2841 -119.2145 (189*2π)/6724 weeks
190-153.3944 127.2518 (190*2π)/6724 weeks
19151.32724 -340.4288 (191*2π)/6724 weeks
192-163.7613 234.724 (192*2π)/6724 weeks
193128.5968 -127.9644 (193*2π)/6723 weeks
194-215.4901 -37.39877 (194*2π)/6723 weeks
195152.3827 -75.05719 (195*2π)/6723 weeks
196-230.0402 77.19975 (196*2π)/6723 weeks
197118.0122 -69.57909 (197*2π)/6723 weeks
198-67.23717 -83.68713 (198*2π)/6723 weeks
199-3.18863 -23.97187 (199*2π)/6723 weeks
200-165.5278 -52.32431 (200*2π)/6723 weeks
20158.75355 26.08222 (201*2π)/6723 weeks
202-8.45593 -106.0647 (202*2π)/6723 weeks
203-189.6693 -42.50083 (203*2π)/6723 weeks
20448.3423 31.4507 (204*2π)/6723 weeks
205-97.96877 28.30134 (205*2π)/6723 weeks
20663.1714 -205.3671 (206*2π)/6723 weeks
207-143.4437 172.6366 (207*2π)/6723 weeks
208-71.85565 -185.8857 (208*2π)/6723 weeks
20985.95093 100.8964 (209*2π)/6723 weeks
210-143.2817 -105.0437 (210*2π)/6723 weeks
211-24.46952 6.63856 (211*2π)/6723 weeks
212-87.82445 -59.72364 (212*2π)/6723 weeks
21330.05473 123.298 (213*2π)/6723 weeks
214-50.79016 -169.6932 (214*2π)/6723 weeks
215-103.1404 29.99743 (215*2π)/6723 weeks
21610.1676 26.45723 (216*2π)/6723 weeks
217-44.19944 -27.07431 (217*2π)/6723 weeks
2189.24827 -32.14996 (218*2π)/6723 weeks
219-187.5074 -73.12678 (219*2π)/6723 weeks
220180.7811 146.0493 (220*2π)/6723 weeks
221-242.217 -148.0383 (221*2π)/6723 weeks
222149.2976 19.66944 (222*2π)/6723 weeks
223-165.3427 -47.9117 (223*2π)/6723 weeks
224-34.87452 129.4408 (224*2π)/6723 weeks
22598.69228 -177.9765 (225*2π)/6723 weeks
226-124.154 121.2357 (226*2π)/6723 weeks
227-.23412 -156.6129 (227*2π)/6723 weeks
228-44.30168 166.0137 (228*2π)/6723 weeks
229126.9633 -161.2235 (229*2π)/6723 weeks
230-232.0791 -55.90266 (230*2π)/6723 weeks
231145.5902 51.17033 (231*2π)/6723 weeks
232-205.9853 -13.83767 (232*2π)/6723 weeks
233162.0382 -96.47393 (233*2π)/6723 weeks
234-134.4313 -20.05416 (234*2π)/6723 weeks
235-44.90128 54.13722 (235*2π)/6723 weeks
236-29.938 -140.8412 (236*2π)/6723 weeks
237113.8288 74.17226 (237*2π)/6723 weeks
238-201.1744 -113.7355 (238*2π)/6723 weeks
239-42.48524 -75.12516 (239*2π)/6723 weeks
240106.2126 132.2839 (240*2π)/6723 weeks
241-172.0392 -148.5235 (241*2π)/6723 weeks
2422.8968 -98.48792 (242*2π)/6723 weeks
243-62.04293 151.4901 (243*2π)/6723 weeks
244-80.42666 -121.2363 (244*2π)/6723 weeks
24591.96436 -29.17292 (245*2π)/6723 weeks
246-230.7599 27.28816 (246*2π)/6723 weeks
24791.10141 -57.48246 (247*2π)/6723 weeks
248-77.33926 26.34998 (248*2π)/6723 weeks
2496.91878 -27.78717 (249*2π)/6723 weeks
250-113.6194 -150.559 (250*2π)/6723 weeks
251-18.84582 140.6004 (251*2π)/6723 weeks
252-9.62058 -95.26732 (252*2π)/6723 weeks
253-115.5019 -33.69225 (253*2π)/6723 weeks
254-6.15392 -103.863 (254*2π)/6723 weeks
255-153.0917 249.5226 (255*2π)/6723 weeks
25676.62306 -229.1123 (256*2π)/6723 weeks
257-83.86037 66.64571 (257*2π)/6723 weeks
258-40.20247 -2.316 (258*2π)/6723 weeks
259-105.0953 6.49124 (259*2π)/6723 weeks
26080.76939 -50.35142 (260*2π)/6723 weeks
261-84.81157 18.98681 (261*2π)/6723 weeks
262-116.8534 -42.35825 (262*2π)/6723 weeks
26326.10311 17.68038 (263*2π)/6723 weeks
264-33.06176 55.20294 (264*2π)/6723 weeks
265-17.45284 -142.6836 (265*2π)/6723 weeks
266-145.4729 68.98643 (266*2π)/6723 weeks
26754.01118 45.04463 (267*2π)/6723 weeks
268-45.38781 -83.27163 (268*2π)/6723 weeks
269-19.16035 16.54136 (269*2π)/6722 weeks
270-135.6509 14.77807 (270*2π)/6722 weeks
271103.5739 -5.59409 (271*2π)/6722 weeks
272-50.37009 -9.27275 (272*2π)/6722 weeks
273-54.78542 -60.86843 (273*2π)/6722 weeks
274-75.92742 -31.0968 (274*2π)/6722 weeks
27538.69741 42.027 (275*2π)/6722 weeks
276-104.8347 18.57836 (276*2π)/6722 weeks
277-4.7413 -199.4611 (277*2π)/6722 weeks
278-106.9565 218.2678 (278*2π)/6722 weeks
27941.42969 -73.91088 (279*2π)/6722 weeks
280-65.05847 -46.20906 (280*2π)/6722 weeks
28125.59231 -38.3545 (281*2π)/6722 weeks
282-218.7339 79.07309 (282*2π)/6722 weeks
283197.5065 -53.31148 (283*2π)/6722 weeks
284-240.4931 5.16234 (284*2π)/6722 weeks
285139.3547 -54.08272 (285*2π)/6722 weeks
286-217.058 67.9934 (286*2π)/6722 weeks
28786.06049 11.5874 (287*2π)/6722 weeks
288-12.02417 -94.95296 (288*2π)/6722 weeks
289-46.26014 79.69557 (289*2π)/6722 weeks
290-141.1036 -120.0453 (290*2π)/6722 weeks
291162.8221 146.4752 (291*2π)/6722 weeks
292-151.0437 -188.6079 (292*2π)/6722 weeks
293-29.96297 28.65481 (293*2π)/6722 weeks
294-82.813 80.29472 (294*2π)/6722 weeks
29537.61539 -108.6966 (295*2π)/6722 weeks
296-41.8544 66.53237 (296*2π)/6722 weeks
297-125.7974 -86.27461 (297*2π)/6722 weeks
29839.25809 100.5224 (298*2π)/6722 weeks
299-42.06585 -87.46875 (299*2π)/6722 weeks
30032.01926 76.05605 (300*2π)/6722 weeks
301-186.0501 -164.0684 (301*2π)/6722 weeks
302135.7696 119.4524 (302*2π)/6722 weeks
303-133.5345 -8.37417 (303*2π)/6722 weeks
304-4.24734 -176.7654 (304*2π)/6722 weeks
305-92.25385 113.1067 (305*2π)/6722 weeks
306-20.80031 33.95367 (306*2π)/6722 weeks
307-15.12621 -86.80099 (307*2π)/6722 weeks
308-29.35078 -35.74409 (308*2π)/6722 weeks
309-118.2871 86.7691 (309*2π)/6722 weeks
3102.44307 -80.7534 (310*2π)/6722 weeks
31125.56972 67.15826 (311*2π)/6722 weeks
312-132.7456 -99.26649 (312*2π)/6722 weeks
31316.78787 -23.23285 (313*2π)/6722 weeks
314-129.3251 144.3191 (314*2π)/6722 weeks
31561.70353 -160.2911 (315*2π)/6722 weeks
316-75.67611 15.96833 (316*2π)/6722 weeks
317-134.0263 39.5945 (317*2π)/6722 weeks
318-13.5979 24.86742 (318*2π)/6722 weeks
31975.41929 -70.77078 (319*2π)/6722 weeks
320-203.7013 48.24935 (320*2π)/6722 weeks
321-18.00664 -20.01312 (321*2π)/6722 weeks
32216.30351 59.12586 (322*2π)/6722 weeks
323-58.48238 -4.13637 (323*2π)/6722 weeks
324-43.68489 -68.6134 (324*2π)/6722 weeks
325-80.07976 106.4161 (325*2π)/6722 weeks
3267.7102 -44.05038 (326*2π)/6722 weeks
32719.99752 75.52073 (327*2π)/6722 weeks
328-151.0454 -153.2355 (328*2π)/6722 weeks
32931.14518 193.965 (329*2π)/6722 weeks
330-34.9395 -64.76988 (330*2π)/6722 weeks
33157.97149 -23.22849 (331*2π)/6722 weeks
332-194.5865 -14.92157 (332*2π)/6722 weeks
33399.75138 44.58385 (333*2π)/6722 weeks
334-75.7084 5.3618 (334*2π)/6722 weeks
335-17.28006 -66.55035 (335*2π)/6722 weeks
336-74.06976   (336*2π)/6722 weeks
337-17.28006 66.55035 (337*2π)/6722 weeks
338-75.7084 -5.3618 (338*2π)/6722 weeks
33999.75138 -44.58385 (339*2π)/6722 weeks
340-194.5865 14.92157 (340*2π)/6722 weeks
34157.97149 23.22849 (341*2π)/6722 weeks
342-34.9395 64.76988 (342*2π)/6722 weeks
34331.14518 -193.965 (343*2π)/6722 weeks
344-151.0454 153.2355 (344*2π)/6722 weeks
34519.99752 -75.52073 (345*2π)/6722 weeks
3467.7102 44.05038 (346*2π)/6722 weeks
347-80.07976 -106.4161 (347*2π)/6722 weeks
348-43.68489 68.6134 (348*2π)/6722 weeks
349-58.48238 4.13637 (349*2π)/6722 weeks
35016.30351 -59.12586 (350*2π)/6722 weeks
351-18.00664 20.01312 (351*2π)/6722 weeks
352-203.7013 -48.24935 (352*2π)/6722 weeks
35375.41929 70.77078 (353*2π)/6722 weeks
354-13.5979 -24.86742 (354*2π)/6722 weeks
355-134.0263 -39.5945 (355*2π)/6722 weeks
356-75.67611 -15.96833 (356*2π)/6722 weeks
35761.70353 160.2911 (357*2π)/6722 weeks
358-129.3251 -144.3191 (358*2π)/6722 weeks
35916.78787 23.23285 (359*2π)/6722 weeks
360-132.7456 99.26649 (360*2π)/6722 weeks
36125.56972 -67.15826 (361*2π)/6722 weeks
3622.44307 80.7534 (362*2π)/6722 weeks
363-118.2871 -86.7691 (363*2π)/6722 weeks
364-29.35078 35.74409 (364*2π)/6722 weeks
365-15.12621 86.80099 (365*2π)/6722 weeks
366-20.80031 -33.95367 (366*2π)/6722 weeks
367-92.25385 -113.1067 (367*2π)/6722 weeks
368-4.24734 176.7654 (368*2π)/6722 weeks
369-133.5345 8.37417 (369*2π)/6722 weeks
370135.7696 -119.4524 (370*2π)/6722 weeks
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