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Fourier Analysis of APRI (Apricus Biosciences, Inc)


APRI (Apricus Biosciences, Inc) appears to have interesting cyclic behaviour every 93 weeks (81.248*sine), 84 weeks (79.7181*sine), and 93 weeks (48.1623*cosine).

APRI (Apricus Biosciences, Inc) has an average price of 267.86 (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 4/19/1999 to 1/9/2017 for APRI (Apricus Biosciences, Inc), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
0267.8595   0 
1212.6233 273.5648 (1*2π)/925925 weeks
286.37703 220.1751 (2*2π)/925463 weeks
33.86054 206.2918 (3*2π)/925308 weeks
4-26.03226 183.2434 (4*2π)/925231 weeks
5-143.2143 157.6703 (5*2π)/925185 weeks
6-137.8439 33.71767 (6*2π)/925154 weeks
7-114.2113 -8.47544 (7*2π)/925132 weeks
8-56.64567 -32.54587 (8*2π)/925116 weeks
9-77.65662 -17.85707 (9*2π)/925103 weeks
10-48.16233 -81.24799 (10*2π)/92593 weeks
1119.09364 -79.71812 (11*2π)/92584 weeks
1247.67944 -21.09268 (12*2π)/92577 weeks
1326.56694 4.36568 (13*2π)/92571 weeks
144.41183 5.80105 (14*2π)/92566 weeks
158.20102 -6.16946 (15*2π)/92562 weeks
1610.89266 6.51607 (16*2π)/92558 weeks
17-1.03635 3.74317 (17*2π)/92554 weeks
18-5.17468 5.35876 (18*2π)/92551 weeks
19-2.84496 -17.90362 (19*2π)/92549 weeks
205.89462 -7.26066 (20*2π)/92546 weeks
2113.15132 -19.86261 (21*2π)/92544 weeks
2226.11448 -12.93108 (22*2π)/92542 weeks
2337.71326 4.74258 (23*2π)/92540 weeks
2432.53412 18.8147 (24*2π)/92539 weeks
2528.59648 37.17397 (25*2π)/92537 weeks
262.93069 47.92646 (26*2π)/92536 weeks
27-16.7672 43.39733 (27*2π)/92534 weeks
28-30.87814 29.57901 (28*2π)/92533 weeks
29-36.44231 14.70197 (29*2π)/92532 weeks
30-40.95891 -1.16855 (30*2π)/92531 weeks
31-34.08065 -13.79332 (31*2π)/92530 weeks
32-28.57247 -30.95179 (32*2π)/92529 weeks
33-9.19154 -37.7283 (33*2π)/92528 weeks
346.35267 -36.24091 (34*2π)/92527 weeks
3515.12949 -27.76559 (35*2π)/92526 weeks
3630.77832 -28.3893 (36*2π)/92526 weeks
3735.15222 -2.82081 (37*2π)/92525 weeks
3832.01727 1.14078 (38*2π)/92524 weeks
3926.80025 16.44716 (39*2π)/92524 weeks
4019.17167 14.54599 (40*2π)/92523 weeks
4117.59966 22.09322 (41*2π)/92523 weeks
4210.91156 28.17272 (42*2π)/92522 weeks
43-5.93765 30.10733 (43*2π)/92522 weeks
44-15.19781 21.26522 (44*2π)/92521 weeks
45-22.87566 5.36054 (45*2π)/92521 weeks
46-6.90434 -6.29507 (46*2π)/92520 weeks
47.0436 -2.60612 (47*2π)/92520 weeks
484.53575 7.0035 (48*2π)/92519 weeks
49-5.42854 6.93687 (49*2π)/92519 weeks
50-.21926 6.14498 (50*2π)/92519 weeks
51-6.33156 10.26945 (51*2π)/92518 weeks
52-12.24614 11.70615 (52*2π)/92518 weeks
53-23.44228 2.33731 (53*2π)/92517 weeks
54-19.03555 -13.99845 (54*2π)/92517 weeks
55-8.01983 -18.96946 (55*2π)/92517 weeks
56.29748 -17.63293 (56*2π)/92517 weeks
572.5688 -17.80731 (57*2π)/92516 weeks
5811.71053 -19.34455 (58*2π)/92516 weeks
5924.10061 -14.30782 (59*2π)/92516 weeks
6025.22331 3.62244 (60*2π)/92515 weeks
6119.15348 9.9187 (61*2π)/92515 weeks
6210.83227 15.1973 (62*2π)/92515 weeks
638.24671 14.33399 (63*2π)/92515 weeks
64.96112 16.42474 (64*2π)/92514 weeks
65-4.74069 13.03207 (65*2π)/92514 weeks
66-7.69634 5.71127 (66*2π)/92514 weeks
67.07977 1.13008 (67*2π)/92514 weeks
68.50575 7.14104 (68*2π)/92514 weeks
69-4.47021 8.04111 (69*2π)/92513 weeks
70-5.46512 2.0295 (70*2π)/92513 weeks
71-1.43992 5.01168 (71*2π)/92513 weeks
72-6.07367 5.15035 (72*2π)/92513 weeks
73-9.94686 4.85231 (73*2π)/92513 weeks
74-12.16002 -4.38628 (74*2π)/92513 weeks
75-6.23376 -7.50144 (75*2π)/92512 weeks
76-3.46777 -9.90558 (76*2π)/92512 weeks
77.277 -9.67955 (77*2π)/92512 weeks
786.35313 -11.01478 (78*2π)/92512 weeks
799.18515 -4.19118 (79*2π)/92512 weeks
809.13019 -2.35079 (80*2π)/92512 weeks
818.2813 .50227 (81*2π)/92511 weeks
8210.05304 1.12877 (82*2π)/92511 weeks
837.20278 4.63487 (83*2π)/92511 weeks
848.59992 4.941 (84*2π)/92511 weeks
856.69505 7.10886 (85*2π)/92511 weeks
867.34534 11.83386 (86*2π)/92511 weeks
87-1.31834 13.246 (87*2π)/92511 weeks
88-3.00591 8.91434 (88*2π)/92511 weeks
89-3.98917 7.40772 (89*2π)/92510 weeks
90-3.84329 7.79832 (90*2π)/92510 weeks
91-7.40328 5.50791 (91*2π)/92510 weeks
92-7.1338 4.00211 (92*2π)/92510 weeks
93-7.04138 1.05074 (93*2π)/92510 weeks
94-6.98658 1.62493 (94*2π)/92510 weeks
95-9.89457 -1.69298 (95*2π)/92510 weeks
96-7.69003 -6.76673 (96*2π)/92510 weeks
97-2.81793 -9.36277 (97*2π)/92510 weeks
98.00155 -7.37807 (98*2π)/9259 weeks
993.52595 -8.15844 (99*2π)/9259 weeks
1004.71354 -5.47775 (100*2π)/9259 weeks
1017.51693 -4.80541 (101*2π)/9259 weeks
10210.02709 -1.16238 (102*2π)/9259 weeks
10310.56615 4.26075 (103*2π)/9259 weeks
1045.04746 7.60544 (104*2π)/9259 weeks
1053.07095 5.85329 (105*2π)/9259 weeks
1062.27123 5.61505 (106*2π)/9259 weeks
1072.80196 8.50714 (107*2π)/9259 weeks
108-4.04486 9.6302 (108*2π)/9259 weeks
109-5.99934 4.87882 (109*2π)/9258 weeks
110-5.10298 .79141 (110*2π)/9258 weeks
111-2.7452 3.06864 (111*2π)/9258 weeks
112-5.04766 2.25627 (112*2π)/9258 weeks
113-6.60333 .18825 (113*2π)/9258 weeks
114-6.08143 -3.27124 (114*2π)/9258 weeks
115-3.38273 -4.42999 (115*2π)/9258 weeks
116-1.52534 -5.61667 (116*2π)/9258 weeks
117-.01762 -4.40093 (117*2π)/9258 weeks
1182.13039 -6.18572 (118*2π)/9258 weeks
1193.44583 -3.34591 (119*2π)/9258 weeks
1205.13311 -3.76103 (120*2π)/9258 weeks
1216.91684 -.4819 (121*2π)/9258 weeks
1226.69419 2.15539 (122*2π)/9258 weeks
1233.59258 4.05569 (123*2π)/9258 weeks
1243.60659 3.83914 (124*2π)/9257 weeks
1251.90801 5.463 (125*2π)/9257 weeks
126-.73205 5.49142 (126*2π)/9257 weeks
127-1.64621 3.05175 (127*2π)/9257 weeks
128-1.48217 3.46161 (128*2π)/9257 weeks
129-2.3839 2.17942 (129*2π)/9257 weeks
130-2.93015 1.67084 (130*2π)/9257 weeks
131-3.38132 .23357 (131*2π)/9257 weeks
132-2.92446 -1.24135 (132*2π)/9257 weeks
133-1.78272 -2.98352 (133*2π)/9257 weeks
134.09292 -2.2022 (134*2π)/9257 weeks
135.55288 -2.43467 (135*2π)/9257 weeks
1361.75116 -2.57909 (136*2π)/9257 weeks
1373.52988 -.93563 (137*2π)/9257 weeks
1382.47236 .70548 (138*2π)/9257 weeks
1393.68345 1.78277 (139*2π)/9257 weeks
140.61709 2.32904 (140*2π)/9257 weeks
1411.4032 2.0992 (141*2π)/9257 weeks
142-.23517 3.18079 (142*2π)/9257 weeks
143-2.02775 2.03377 (143*2π)/9256 weeks
144-3.81953 -.98411 (144*2π)/9256 weeks
145.37751 -3.06016 (145*2π)/9256 weeks
146.92981 -3.06512 (146*2π)/9256 weeks
1474.10979 -.47414 (147*2π)/9256 weeks
1481.67019 -.46036 (148*2π)/9256 weeks
1493.86297 -.85972 (149*2π)/9256 weeks
1506.81445 .92744 (150*2π)/9256 weeks
1514.8195 7.07736 (151*2π)/9256 weeks
152-.11258 6.6515 (152*2π)/9256 weeks
153-2.1636 4.57141 (153*2π)/9256 weeks
154-1.81576 3.57075 (154*2π)/9256 weeks
155-4.44026 3.49385 (155*2π)/9256 weeks
156-4.36378 -1.22402 (156*2π)/9256 weeks
157-1.42376 -2.60757 (157*2π)/9256 weeks
1582.15992 -1.3373 (158*2π)/9256 weeks
159.64274 1.96115 (159*2π)/9256 weeks
160-.07696 .99086 (160*2π)/9256 weeks
161-.71286 .54301 (161*2π)/9256 weeks
1621.56123 1.97409 (162*2π)/9256 weeks
163-2.67631 2.94862 (163*2π)/9256 weeks
164-2.15608 .646 (164*2π)/9256 weeks
165-3.17916 -.39018 (165*2π)/9256 weeks
166-1.90023 -.78956 (166*2π)/9256 weeks
167-2.95375 -2.47354 (167*2π)/9256 weeks
168-1.04542 -3.80159 (168*2π)/9256 weeks
169.07552 -5.76859 (169*2π)/9255 weeks
1704.02607 -5.34264 (170*2π)/9255 weeks
1717.22342 -4.29683 (171*2π)/9255 weeks
1729.98619 1.31596 (172*2π)/9255 weeks
1737.75556 5.97332 (173*2π)/9255 weeks
1743.66129 8.90054 (174*2π)/9255 weeks
175.73801 7.74284 (175*2π)/9255 weeks
176-2.45468 8.27571 (176*2π)/9255 weeks
177-4.67702 6.69608 (177*2π)/9255 weeks
178-7.59528 5.43474 (178*2π)/9255 weeks
179-9.45824 1.35402 (179*2π)/9255 weeks
180-9.38021 -3.71365 (180*2π)/9255 weeks
181-5.12828 -7.02847 (181*2π)/9255 weeks
182-2.41014 -7.12835 (182*2π)/9255 weeks
183.60764 -7.97434 (183*2π)/9255 weeks
1843.39597 -6.63671 (184*2π)/9255 weeks
1856.09813 -4.30125 (185*2π)/9255 weeks
1865.20728 -2.2714 (186*2π)/9255 weeks
1876.93021 -.73142 (187*2π)/9255 weeks
1886.62133 .67436 (188*2π)/9255 weeks
1897.18264 4.0333 (189*2π)/9255 weeks
1904.91294 6.56223 (190*2π)/9255 weeks
1911.7856 7.62093 (191*2π)/9255 weeks
192-.23131 7.52351 (192*2π)/9255 weeks
193-3.11804 7.18951 (193*2π)/9255 weeks
194-5.7361 4.72946 (194*2π)/9255 weeks
195-6.93486 1.95789 (195*2π)/9255 weeks
196-4.91138 -1.23224 (196*2π)/9255 weeks
197-4.4748 -1.25494 (197*2π)/9255 weeks
198-2.18848 -2.81258 (198*2π)/9255 weeks
199-3.45391 -1.77395 (199*2π)/9255 weeks
200-1.26454 -4.29416 (200*2π)/9255 weeks
201-.23526 -2.9984 (201*2π)/9255 weeks
2021.05903 -2.31629 (202*2π)/9255 weeks
203-.93115 -1.75179 (203*2π)/9255 weeks
204-.01914 -4.2744 (204*2π)/9255 weeks
2052.57848 -4.3052 (205*2π)/9255 weeks
2064.48553 -3.18395 (206*2π)/9254 weeks
2076.10255 -.90691 (207*2π)/9254 weeks
2085.72951 1.4142 (208*2π)/9254 weeks
2095.21447 4.11412 (209*2π)/9254 weeks
2102.15559 6.53278 (210*2π)/9254 weeks
211-1.02483 4.59175 (211*2π)/9254 weeks
212-1.57607 5.16746 (212*2π)/9254 weeks
213-4.68736 3.43728 (213*2π)/9254 weeks
214-5.70167 .4065 (214*2π)/9254 weeks
215-3.93517 -2.99203 (215*2π)/9254 weeks
216-1.19488 -2.96165 (216*2π)/9254 weeks
217-.77833 -2.02176 (217*2π)/9254 weeks
218-.61766 -2.95307 (218*2π)/9254 weeks
219.85735 -2.71324 (219*2π)/9254 weeks
2201.18008 -2.12557 (220*2π)/9254 weeks
2211.05676 -1.60771 (221*2π)/9254 weeks
222.9942 -2.94049 (222*2π)/9254 weeks
2233.82839 -2.52612 (223*2π)/9254 weeks
2243.74139 -.80077 (224*2π)/9254 weeks
2254.6388 1.15947 (225*2π)/9254 weeks
2263.3388 1.69134 (226*2π)/9254 weeks
2272.35249 3.43574 (227*2π)/9254 weeks
2281.32221 2.79319 (228*2π)/9254 weeks
229-.63587 3.59575 (229*2π)/9254 weeks
230-1.32328 1.03784 (230*2π)/9254 weeks
231-.07366 .66256 (231*2π)/9254 weeks
232.44981 1.38216 (232*2π)/9254 weeks
233-.99857 2.42684 (233*2π)/9254 weeks
234-2.56427 1.00512 (234*2π)/9254 weeks
235-2.46323 -.37671 (235*2π)/9254 weeks
236-1.55618 -2.12647 (236*2π)/9254 weeks
237-.7786 -2.13942 (237*2π)/9254 weeks
238.21724 -2.84516 (238*2π)/9254 weeks
2391.59951 -3.12767 (239*2π)/9254 weeks
2403.35778 -1.59919 (240*2π)/9254 weeks
2412.66084 -.42323 (241*2π)/9254 weeks
2422.98336 .83038 (242*2π)/9254 weeks
2431.66654 -.07732 (243*2π)/9254 weeks
2443.24783 .74815 (244*2π)/9254 weeks
2452.64702 1.00051 (245*2π)/9254 weeks
2463.34683 2.77617 (246*2π)/9254 weeks
2471.19893 3.27592 (247*2π)/9254 weeks
248.91364 2.94021 (248*2π)/9254 weeks
249.90774 2.7876 (249*2π)/9254 weeks
250.56821 4.54759 (250*2π)/9254 weeks
251-1.72201 5.06167 (251*2π)/9254 weeks
252-4.50697 3.48125 (252*2π)/9254 weeks
253-4.47889 1.22645 (253*2π)/9254 weeks
254-5.03438 -.60999 (254*2π)/9254 weeks
255-3.26157 -2.20394 (255*2π)/9254 weeks
256-3.05369 -2.60425 (256*2π)/9254 weeks
257-1.32466 -4.25 (257*2π)/9254 weeks
258-.12854 -3.64325 (258*2π)/9254 weeks
2591.43904 -3.37385 (259*2π)/9254 weeks
2601.24508 -2.85156 (260*2π)/9254 weeks
2613.30966 -3.68198 (261*2π)/9254 weeks
2624.98363 -2.0929 (262*2π)/9254 weeks
2636.24968 1.88792 (263*2π)/9254 weeks
2642.20615 3.6243 (264*2π)/9254 weeks
265.92442 2.68513 (265*2π)/9253 weeks
266.79691 1.51263 (266*2π)/9253 weeks
267.96499 3.13157 (267*2π)/9253 weeks
268-1.13145 2.44168 (268*2π)/9253 weeks
269-1.66487 1.44522 (269*2π)/9253 weeks
270-.59356 -.10476 (270*2π)/9253 weeks
271.1207 1.63327 (271*2π)/9253 weeks
272-1.81746 1.28119 (272*2π)/9253 weeks
273-1.85722 .46755 (273*2π)/9253 weeks
274-1.22507 .18125 (274*2π)/9253 weeks
275-2.66847 .35303 (275*2π)/9253 weeks
276-3.64178 -1.3537 (276*2π)/9253 weeks
277-2.71536 -3.8942 (277*2π)/9253 weeks
278-.66677 -5.204 (278*2π)/9253 weeks
2791.57675 -5.16859 (279*2π)/9253 weeks
2803.34429 -4.51873 (280*2π)/9253 weeks
2815.04675 -3.85222 (281*2π)/9253 weeks
2827.00323 -1.21412 (282*2π)/9253 weeks
2836.98283 1.29985 (283*2π)/9253 weeks
2845.32969 4.90908 (284*2π)/9253 weeks
2852.05469 4.3547 (285*2π)/9253 weeks
2861.73465 5.08744 (286*2π)/9253 weeks
287-.71095 4.20786 (287*2π)/9253 weeks
288-1.45857 4.35012 (288*2π)/9253 weeks
289-3.51712 1.86239 (289*2π)/9253 weeks
290-1.59646 .33663 (290*2π)/9253 weeks
291-1.08927 .51938 (291*2π)/9253 weeks
292-1.39491 1.09085 (292*2π)/9253 weeks
293-1.66039 .41707 (293*2π)/9253 weeks
294-2.15133 -.27012 (294*2π)/9253 weeks
295-1.07427 -.96815 (295*2π)/9253 weeks
296-1.60485 -1.0524 (296*2π)/9253 weeks
297-.17273 -1.93159 (297*2π)/9253 weeks
298.02837 -1.04308 (298*2π)/9253 weeks
299.09791 -.93578 (299*2π)/9253 weeks
300-1.278 -1.08641 (300*2π)/9253 weeks
301-.03372 -4.12638 (301*2π)/9253 weeks
3022.76 -3.32079 (302*2π)/9253 weeks
3034.18141 -1.33002 (303*2π)/9253 weeks
3043.1284 .26097 (304*2π)/9253 weeks
3053.47777 .48471 (305*2π)/9253 weeks
3063.79321 1.94132 (306*2π)/9253 weeks
3072.18208 4.38166 (307*2π)/9253 weeks
308-.69455 3.80527 (308*2π)/9253 weeks
309-2.23326 2.42367 (309*2π)/9253 weeks
310-1.53986 .11531 (310*2π)/9253 weeks
311-1.19664 .86044 (311*2π)/9253 weeks
312-2.00716 -1.1144 (312*2π)/9253 weeks
313.28966 -2.0864 (313*2π)/9253 weeks
3142.17908 -.68517 (314*2π)/9253 weeks
3151.47466 1.65068 (315*2π)/9253 weeks
316-.22431 1.86669 (316*2π)/9253 weeks
317-1.35553 1.32537 (317*2π)/9253 weeks
318-1.82425 .57779 (318*2π)/9253 weeks
319-2.91175 -1.19273 (319*2π)/9253 weeks
320-1.3821 -2.78771 (320*2π)/9253 weeks
321.04542 -3.82569 (321*2π)/9253 weeks
3222.50836 -3.07733 (322*2π)/9253 weeks
3232.81957 -1.86315 (323*2π)/9253 weeks
3243.39277 -.245 (324*2π)/9253 weeks
3251.90946 -.17192 (325*2π)/9253 weeks
3262.66704 -.34855 (326*2π)/9253 weeks
3273.57308 -.03463 (327*2π)/9253 weeks
3283.99916 2.74027 (328*2π)/9253 weeks
3291.69916 2.89732 (329*2π)/9253 weeks
3301.41592 2.53787 (330*2π)/9253 weeks
3311.21448 3.20113 (331*2π)/9253 weeks
332.31817 3.9532 (332*2π)/9253 weeks
333-1.29719 3.42715 (333*2π)/9253 weeks
334-1.92646 2.74994 (334*2π)/9253 weeks
335-2.78277 2.16713 (335*2π)/9253 weeks
336-2.71634 1.12709 (336*2π)/9253 weeks
337-3.41331 .19351 (337*2π)/9253 weeks
338-2.61607 -.91817 (338*2π)/9253 weeks
339-2.33288 -1.50577 (339*2π)/9253 weeks
340-1.02357 -2.23194 (340*2π)/9253 weeks
341-.77667 -1.11061 (341*2π)/9253 weeks
342-1.41082 -1.31724 (342*2π)/9253 weeks
343-1.51084 -3.14027 (343*2π)/9253 weeks
344.29197 -3.95877 (344*2π)/9253 weeks
3451.87818 -3.02181 (345*2π)/9253 weeks
3462.7888 -2.66583 (346*2π)/9253 weeks
3473.59871 -1.83814 (347*2π)/9253 weeks
3484.90987 .26078 (348*2π)/9253 weeks
3492.98367 2.25052 (349*2π)/9253 weeks
3502.05391 2.58382 (350*2π)/9253 weeks
351.10471 2.20676 (351*2π)/9253 weeks
3521.00816 2.09102 (352*2π)/9253 weeks
353-.92473 2.38186 (353*2π)/9253 weeks
354-1.56115 1.5159 (354*2π)/9253 weeks
355-2.08178 -.33153 (355*2π)/9253 weeks
356.0644 -.67561 (356*2π)/9253 weeks
357-.63449 .34426 (357*2π)/9253 weeks
358-.48849 -.47504 (358*2π)/9253 weeks
359-.11158 -.01859 (359*2π)/9253 weeks
360-.61987 -.05436 (360*2π)/9253 weeks
361-.87011 -.22466 (361*2π)/9253 weeks
362-1.20635 -.84686 (362*2π)/9253 weeks
363-.95097 -1.79929 (363*2π)/9253 weeks
364-.70545 -2.19429 (364*2π)/9253 weeks
365.3383 -3.3871 (365*2π)/9253 weeks
3661.89589 -3.23794 (366*2π)/9253 weeks
3673.86518 -2.21236 (367*2π)/9253 weeks
3682.988 -.05958 (368*2π)/9253 weeks
3693.02304 -.55782 (369*2π)/9253 weeks
3703.41005 .26812 (370*2π)/9253 weeks
3713.62101 1.84727 (371*2π)/9252 weeks
3721.95699 2.46902 (372*2π)/9252 weeks
3731.31048 2.9413 (373*2π)/9252 weeks
374.28546 2.19272 (374*2π)/9252 weeks
375.38106 2.72217 (375*2π)/9252 weeks
376-1.02451 1.99641 (376*2π)/9252 weeks
377-1.038 2.22407 (377*2π)/9252 weeks
378-2.05911 .80245 (378*2π)/9252 weeks
379-1.5108 .88818 (379*2π)/9252 weeks
380-2.45611 .14633 (380*2π)/9252 weeks
381-2.74515 -.57922 (381*2π)/9252 weeks
382-2.34864 -2.99849 (382*2π)/9252 weeks
383-.11741 -3.21547 (383*2π)/9252 weeks
3841.06717 -2.80366 (384*2π)/9252 weeks
385.83969 -1.88103 (385*2π)/9252 weeks
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