Back to list of Stocks    See Also: Seasonal Analysis of KATEGenetic Algorithms Stock Portfolio Generator, and Fourier Calculator

Fourier Analysis of KATE (Kate Spade & Company Common Sto)


KATE (Kate Spade & Company Common Sto) appears to have interesting cyclic behaviour every 169 weeks (1.2875*cosine), 116 weeks (.9983*sine), and 155 weeks (.9837*sine).

KATE (Kate Spade & Company Common Sto) has an average price of 16.44 (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 6/9/1981 to 1/9/2017 for KATE (Kate Spade & Company Common Sto), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
016.44496   0 
1-6.09887 -7.37126 (1*2π)/18571,857 weeks
2-.54893 2.05796 (2*2π)/1857929 weeks
35.33596 -4.75073 (3*2π)/1857619 weeks
4-.2854 -7.05172 (4*2π)/1857464 weeks
5-4.16467 -1.67767 (5*2π)/1857371 weeks
6-1.10768 -1.82251 (6*2π)/1857310 weeks
71.16766 .46488 (7*2π)/1857265 weeks
8-1.79423 -.73721 (8*2π)/1857232 weeks
9-1.294 .21651 (9*2π)/1857206 weeks
10-.54546 .84666 (10*2π)/1857186 weeks
111.28754 -.1731 (11*2π)/1857169 weeks
12.35945 -.98368 (12*2π)/1857155 weeks
13.14017 -.30543 (13*2π)/1857143 weeks
14.32973 .3448 (14*2π)/1857133 weeks
15.5863 -.70151 (15*2π)/1857124 weeks
16-.42128 -.99828 (16*2π)/1857116 weeks
17.04388 -.82085 (17*2π)/1857109 weeks
18.21172 -.33005 (18*2π)/1857103 weeks
19-.0671 -.38622 (19*2π)/185798 weeks
20-.74432 .12216 (20*2π)/185793 weeks
21.35096 -.40686 (21*2π)/185788 weeks
22.27331 -.37282 (22*2π)/185784 weeks
23-.57416 -.48826 (23*2π)/185781 weeks
24.13888 -.23599 (24*2π)/185777 weeks
25.18634 -.24094 (25*2π)/185774 weeks
26-.48127 -.20611 (26*2π)/185771 weeks
27-.32562 -.61781 (27*2π)/185769 weeks
28-.30363 -.00211 (28*2π)/185766 weeks
29.23195 -.12501 (29*2π)/185764 weeks
30.04972 -.36343 (30*2π)/185762 weeks
31-.45432 -.11688 (31*2π)/185760 weeks
32-.31483 .0564 (32*2π)/185758 weeks
33-.47376 -.06413 (33*2π)/185756 weeks
34-.06549 .032 (34*2π)/185755 weeks
35-.19072 -.11997 (35*2π)/185753 weeks
36.3504 .39788 (36*2π)/185752 weeks
37.02641 .29895 (37*2π)/185750 weeks
38.11975 .19782 (38*2π)/185749 weeks
39.09553 -.50403 (39*2π)/185748 weeks
40.17089 .0258 (40*2π)/185746 weeks
41.00972 -.03779 (41*2π)/185745 weeks
42.17538 -.26678 (42*2π)/185744 weeks
43.20488 -.30678 (43*2π)/185743 weeks
44.01239 -.21949 (44*2π)/185742 weeks
45-.34659 .03484 (45*2π)/185741 weeks
46.23162 -.14949 (46*2π)/185740 weeks
47.09164 -.32134 (47*2π)/185740 weeks
48-.17956 -.19078 (48*2π)/185739 weeks
49-.42282 .24692 (49*2π)/185738 weeks
50.21548 -.28181 (50*2π)/185737 weeks
51-.09408 -.02832 (51*2π)/185736 weeks
52-.14365 .13498 (52*2π)/185736 weeks
53.31653 .13037 (53*2π)/185735 weeks
54-.15874 -.17017 (54*2π)/185734 weeks
55.12344 .17984 (55*2π)/185734 weeks
56.21527 -.15531 (56*2π)/185733 weeks
57.26125 -.07186 (57*2π)/185733 weeks
58.08065 -.3217 (58*2π)/185732 weeks
59.15424 -.08232 (59*2π)/185731 weeks
60.00539 -.27267 (60*2π)/185731 weeks
61-.12577 -.27526 (61*2π)/185730 weeks
62-.20678 -.22022 (62*2π)/185730 weeks
63.13214 -.04648 (63*2π)/185729 weeks
64-.13116 -.10603 (64*2π)/185729 weeks
65.03694 -.09865 (65*2π)/185729 weeks
66-.23576 -.20488 (66*2π)/185728 weeks
67-.10159 .02731 (67*2π)/185728 weeks
68-.01357 .06666 (68*2π)/185727 weeks
69.19853 -.31331 (69*2π)/185727 weeks
70-.17075 -.1111 (70*2π)/185727 weeks
71-.20523 -.08848 (71*2π)/185726 weeks
72-.04807 .21604 (72*2π)/185726 weeks
73-.00709 -.15596 (73*2π)/185725 weeks
74.01271 -.14356 (74*2π)/185725 weeks
75-.05736 .07753 (75*2π)/185725 weeks
76-.03538 -.03229 (76*2π)/185724 weeks
77-.06171 .00316 (77*2π)/185724 weeks
78-.0809 .01576 (78*2π)/185724 weeks
79-.13604 -.05437 (79*2π)/185724 weeks
80.11943 .20494 (80*2π)/185723 weeks
81.21045 -.04223 (81*2π)/185723 weeks
82-.13884 .11781 (82*2π)/185723 weeks
83.24895 -.10894 (83*2π)/185722 weeks
84-.07566 -.06863 (84*2π)/185722 weeks
85.06755 -.11598 (85*2π)/185722 weeks
86.05375 -.0577 (86*2π)/185722 weeks
87.12853 -.03997 (87*2π)/185721 weeks
88-.06452 .03172 (88*2π)/185721 weeks
89.13189 -.00919 (89*2π)/185721 weeks
90.09348 -.22361 (90*2π)/185721 weeks
91.02125 -.15833 (91*2π)/185720 weeks
92-.0972 -.06887 (92*2π)/185720 weeks
93-.00348 -.00688 (93*2π)/185720 weeks
94.0674 -.13048 (94*2π)/185720 weeks
95-.15384 -.0744 (95*2π)/185720 weeks
96.01838 .02248 (96*2π)/185719 weeks
97-.04422 -.0097 (97*2π)/185719 weeks
98.18998 -.01861 (98*2π)/185719 weeks
99-.00018 -.08384 (99*2π)/185719 weeks
100.06876 -.13894 (100*2π)/185719 weeks
101-.07621 -.00083 (101*2π)/185718 weeks
102.1997 -.12061 (102*2π)/185718 weeks
103-.051 -.13658 (103*2π)/185718 weeks
104.03288 -.2462 (104*2π)/185718 weeks
105-.14302 -.04331 (105*2π)/185718 weeks
106.04141 -.18503 (106*2π)/185718 weeks
107-.15987 -.04304 (107*2π)/185717 weeks
108-.09635 -.11482 (108*2π)/185717 weeks
109-.24483 .04335 (109*2π)/185717 weeks
110-.09447 .07781 (110*2π)/185717 weeks
111.15673 .08005 (111*2π)/185717 weeks
112-.04573 -.01298 (112*2π)/185717 weeks
113.08166 -.04017 (113*2π)/185716 weeks
114-.03314 .0507 (114*2π)/185716 weeks
115.09932 .00122 (115*2π)/185716 weeks
116.04203 -.19797 (116*2π)/185716 weeks
117.01049 -.16027 (117*2π)/185716 weeks
118-.16773 .03467 (118*2π)/185716 weeks
119.00718 -.01776 (119*2π)/185716 weeks
120-.05921 -.0413 (120*2π)/185715 weeks
121.02775 -.07082 (121*2π)/185715 weeks
122-.12402 .11099 (122*2π)/185715 weeks
123.11631 .02268 (123*2π)/185715 weeks
124.00764 -.08191 (124*2π)/185715 weeks
125.03953 -.06076 (125*2π)/185715 weeks
126.008 .04625 (126*2π)/185715 weeks
127.06209 -.04467 (127*2π)/185715 weeks
128-.01052 -.00368 (128*2π)/185715 weeks
129.01569 -.12986 (129*2π)/185714 weeks
130-.06974 -.07259 (130*2π)/185714 weeks
131.10525 .03724 (131*2π)/185714 weeks
132-.02092 -.01729 (132*2π)/185714 weeks
133-.08884 -.04503 (133*2π)/185714 weeks
134.05037 .02786 (134*2π)/185714 weeks
135.01895 -.08328 (135*2π)/185714 weeks
136.11229 .02066 (136*2π)/185714 weeks
137.04277 -.08357 (137*2π)/185714 weeks
138.07341 -.05177 (138*2π)/185713 weeks
139-.0152 -.19082 (139*2π)/185713 weeks
140-.12188 -.04115 (140*2π)/185713 weeks
141.07575 -.05854 (141*2π)/185713 weeks
142-.05456 -.11497 (142*2π)/185713 weeks
143-.0226 .0086 (143*2π)/185713 weeks
144-.08642 -.02039 (144*2π)/185713 weeks
145.0503 .02399 (145*2π)/185713 weeks
146.01257 -.10481 (146*2π)/185713 weeks
147-.03562 .04143 (147*2π)/185713 weeks
148.05222 -.07345 (148*2π)/185713 weeks
149.01734 -.02939 (149*2π)/185712 weeks
150.05369 -.07812 (150*2π)/185712 weeks
151-.07156 -.08783 (151*2π)/185712 weeks
152-.00146 -.01573 (152*2π)/185712 weeks
153.03523 -.12205 (153*2π)/185712 weeks
154-.08906 -.06925 (154*2π)/185712 weeks
155-.02176 -.04218 (155*2π)/185712 weeks
156-.11073 .01019 (156*2π)/185712 weeks
157.06854 -.05076 (157*2π)/185712 weeks
158-.07156 .01383 (158*2π)/185712 weeks
159-.0333 -.02942 (159*2π)/185712 weeks
160-.03461 .08667 (160*2π)/185712 weeks
161.0768 -.03897 (161*2π)/185712 weeks
162.03357 -.0002 (162*2π)/185711 weeks
163.02819 .02544 (163*2π)/185711 weeks
164.10088 -.11934 (164*2π)/185711 weeks
165-.02476 -.16096 (165*2π)/185711 weeks
166-.02476 -.02882 (166*2π)/185711 weeks
167-.01541 .01913 (167*2π)/185711 weeks
168-.02976 -.12625 (168*2π)/185711 weeks
169-.04192 -.00067 (169*2π)/185711 weeks
170-.02358 .00203 (170*2π)/185711 weeks
171.05784 -.04204 (171*2π)/185711 weeks
172.02453 -.08529 (172*2π)/185711 weeks
173-.05323 -.01818 (173*2π)/185711 weeks
174-.07437 -.04579 (174*2π)/185711 weeks
175.0537 .04061 (175*2π)/185711 weeks
176-.01271 -.1893 (176*2π)/185711 weeks
177-.08884 -.00768 (177*2π)/185710 weeks
178.04309 .03871 (178*2π)/185710 weeks
179-.06925 -.04925 (179*2π)/185710 weeks
180-.01256 .01101 (180*2π)/185710 weeks
181-.03988 .0008 (181*2π)/185710 weeks
182.02127 .03287 (182*2π)/185710 weeks
183.01532 -.07772 (183*2π)/185710 weeks
184.02338 -.01978 (184*2π)/185710 weeks
185-.00285 -.01136 (185*2π)/185710 weeks
186.05002 .03077 (186*2π)/185710 weeks
187.0131 -.11906 (187*2π)/185710 weeks
188.00395 -.08758 (188*2π)/185710 weeks
189-.07102 -.05877 (189*2π)/185710 weeks
190.05928 .00228 (190*2π)/185710 weeks
191-.097 -.0946 (191*2π)/185710 weeks
192-.01829 -.00859 (192*2π)/185710 weeks
193-.06167 .01775 (193*2π)/185710 weeks
194-.04447 -.04835 (194*2π)/185710 weeks
195-.03178 .01662 (195*2π)/185710 weeks
196.04025 .0288 (196*2π)/18579 weeks
197-.02655 .03434 (197*2π)/18579 weeks
198.08188 .01098 (198*2π)/18579 weeks
199-.00218 -.02772 (199*2π)/18579 weeks
200.00341 .01361 (200*2π)/18579 weeks
201.06464 -.08321 (201*2π)/18579 weeks
202.00349 -.03538 (202*2π)/18579 weeks
203.03653 -.01853 (203*2π)/18579 weeks
204-.02523 -.06254 (204*2π)/18579 weeks
205.00512 -.06716 (205*2π)/18579 weeks
206-.01445 -.06628 (206*2π)/18579 weeks
207.02968 -.00418 (207*2π)/18579 weeks
208-.04134 -.06246 (208*2π)/18579 weeks
209-.06621 .04331 (209*2π)/18579 weeks
210-.0076 .01359 (210*2π)/18579 weeks
211.06578 -.02291 (211*2π)/18579 weeks
212.04846 -.06478 (212*2π)/18579 weeks
213.00319 -.03037 (213*2π)/18579 weeks
214.00224 -.02973 (214*2π)/18579 weeks
215.05859 -.01633 (215*2π)/18579 weeks
216-.04433 -.16033 (216*2π)/18579 weeks
217-.07845 .03115 (217*2π)/18579 weeks
218.02479 -.0889 (218*2π)/18579 weeks
219-.04771 .00835 (219*2π)/18578 weeks
220-.01036 -.03515 (220*2π)/18578 weeks
221-.02806 .02402 (221*2π)/18578 weeks
222.03952 -.0034 (222*2π)/18578 weeks
223.03412 -.0489 (223*2π)/18578 weeks
224-.02564 -.04662 (224*2π)/18578 weeks
225.01625 .00626 (225*2π)/18578 weeks
226.0615 -.03496 (226*2π)/18578 weeks
227.07232 -.16297 (227*2π)/18578 weeks
228-.10324 -.05314 (228*2π)/18578 weeks
229-.04289 -.02084 (229*2π)/18578 weeks
230-.02053 -.08358 (230*2π)/18578 weeks
231-.06356 -.08685 (231*2π)/18578 weeks
232-.05773 -.00182 (232*2π)/18578 weeks
233-.0381 .0287 (233*2π)/18578 weeks
234.00321 -.03385 (234*2π)/18578 weeks
235-.08676 -.00664 (235*2π)/18578 weeks
236-.04826 .04335 (236*2π)/18578 weeks
237.02072 .01615 (237*2π)/18578 weeks
238.00817 .0034 (238*2π)/18578 weeks
239-.00348 -.00632 (239*2π)/18578 weeks
240-.01887 -.04065 (240*2π)/18578 weeks
241.01356 .03846 (241*2π)/18578 weeks
242.06065 -.05189 (242*2π)/18578 weeks
243-.04006 .00024 (243*2π)/18578 weeks
244.02097 -.01255 (244*2π)/18578 weeks
245.01848 -.03744 (245*2π)/18578 weeks
246.00716 -.05153 (246*2π)/18578 weeks
247.00541 .00566 (247*2π)/18578 weeks
248.0541 -.0658 (248*2π)/18577 weeks
249-.03459 -.05051 (249*2π)/18577 weeks
250-.04162 -.04201 (250*2π)/18577 weeks
251.00067 .01893 (251*2π)/18577 weeks
252-.01154 -.05204 (252*2π)/18577 weeks
253-.03826 -.04556 (253*2π)/18577 weeks
254.01496 -.02715 (254*2π)/18577 weeks
255-.02522 -.01799 (255*2π)/18577 weeks
256-.03726 .02087 (256*2π)/18577 weeks
257.00569 -.02208 (257*2π)/18577 weeks
258-.01904 -.00657 (258*2π)/18577 weeks
259.02844 -.02963 (259*2π)/18577 weeks
260.04965 -.05244 (260*2π)/18577 weeks
261-.03272 .00051 (261*2π)/18577 weeks
262.02877 -.05131 (262*2π)/18577 weeks
263-.0088 -.05513 (263*2π)/18577 weeks
264-.04388 -.02796 (264*2π)/18577 weeks
265-.0194 -.05405 (265*2π)/18577 weeks
266.01669 -.04762 (266*2π)/18577 weeks
267-.06181 -.0226 (267*2π)/18577 weeks
268-.08324 .01387 (268*2π)/18577 weeks
269.00681 .00693 (269*2π)/18577 weeks
270-.01689 -.01122 (270*2π)/18577 weeks
271.02667 -.03367 (271*2π)/18577 weeks
272-.01345 .03471 (272*2π)/18577 weeks
273.01065 .00502 (273*2π)/18577 weeks
274.01096 -.04186 (274*2π)/18577 weeks
275-.00327 -.04185 (275*2π)/18577 weeks
276-.07105 -.01343 (276*2π)/18577 weeks
277.05552 -.03888 (277*2π)/18577 weeks
278.03168 -.00403 (278*2π)/18577 weeks
279-.01396 -.02435 (279*2π)/18577 weeks
280-.02717 -.02014 (280*2π)/18577 weeks
281.00193 -.05032 (281*2π)/18577 weeks
282-.02735 -.03447 (282*2π)/18577 weeks
283-.00584 -.01582 (283*2π)/18577 weeks
284-.02953 .00115 (284*2π)/18577 weeks
285-.00803 -.01751 (285*2π)/18577 weeks
286.01786 .00728 (286*2π)/18576 weeks
287.02942 -.01732 (287*2π)/18576 weeks
288-.04155 -.05867 (288*2π)/18576 weeks
289.02055 .01909 (289*2π)/18576 weeks
290.022 -.00384 (290*2π)/18576 weeks
291-.00025 -.05213 (291*2π)/18576 weeks
292.00277 -.06087 (292*2π)/18576 weeks
293-.01626 -.03136 (293*2π)/18576 weeks
294.04964 -.00543 (294*2π)/18576 weeks
295-.00533 -.06746 (295*2π)/18576 weeks
296-.002 -.0652 (296*2π)/18576 weeks
297-.08868 -.00441 (297*2π)/18576 weeks
298-.00276 -.00568 (298*2π)/18576 weeks
299.01415 -.06344 (299*2π)/18576 weeks
300-.00261 -.04901 (300*2π)/18576 weeks
301-.02868 .00181 (301*2π)/18576 weeks
302-.02069 -.02066 (302*2π)/18576 weeks
303.01222 -.04681 (303*2π)/18576 weeks
304-.00456 -.06421 (304*2π)/18576 weeks
305-.06698 .01208 (305*2π)/18576 weeks
306.02906 -.06279 (306*2π)/18576 weeks
307-.03442 -.064 (307*2π)/18576 weeks
308-.06023 -.01992 (308*2π)/18576 weeks
309-.06189 .02979 (309*2π)/18576 weeks
310.00659 -.00157 (310*2π)/18576 weeks
311-.00648 -.05023 (311*2π)/18576 weeks
312-.03057 .03093 (312*2π)/18576 weeks
313.00658 -.04473 (313*2π)/18576 weeks
314-.00514 -.05024 (314*2π)/18576 weeks
315.00824 -.03523 (315*2π)/18576 weeks
316-.07283 -.00243 (316*2π)/18576 weeks
317.01487 -.00614 (317*2π)/18576 weeks
318-.04688 -.05286 (318*2π)/18576 weeks
319-.03118 -.00659 (319*2π)/18576 weeks
320-.01922 -.03758 (320*2π)/18576 weeks
321-.02945 -.03266 (321*2π)/18576 weeks
322-.02526 .0239 (322*2π)/18576 weeks
323-.06572 -.00954 (323*2π)/18576 weeks
324-.04848 .02319 (324*2π)/18576 weeks
325.02146 .0224 (325*2π)/18576 weeks
326-.00659 -.00345 (326*2π)/18576 weeks
327-.01689 .03173 (327*2π)/18576 weeks
328.01995 .01393 (328*2π)/18576 weeks
329.03377 -.01179 (329*2π)/18576 weeks
330.00736 -.05488 (330*2π)/18576 weeks
331-.02045 -.0196 (331*2π)/18576 weeks
332.02548 -.00659 (332*2π)/18576 weeks
333.02309 -.02901 (333*2π)/18576 weeks
334-.03388 -.03058 (334*2π)/18576 weeks
335-.0313 -.04564 (335*2π)/18576 weeks
336-.03888 -.01264 (336*2π)/18576 weeks
337.02648 -.01659 (337*2π)/18576 weeks
338.00071 -.03904 (338*2π)/18575 weeks
339-.03406 .0087 (339*2π)/18575 weeks
340.01054 .00706 (340*2π)/18575 weeks
341-.04524 -.07134 (341*2π)/18575 weeks
342-.04009 -.00155 (342*2π)/18575 weeks
343.03759 -.04864 (343*2π)/18575 weeks
344-.03835 .03239 (344*2π)/18575 weeks
345.01793 -.03744 (345*2π)/18575 weeks
346-.03894 .01567 (346*2π)/18575 weeks
347.00186 -.01665 (347*2π)/18575 weeks
348.01132 -.05708 (348*2π)/18575 weeks
349-.05551 -.0041 (349*2π)/18575 weeks
350.03104 -.02229 (350*2π)/18575 weeks
351-.02651 -.01855 (351*2π)/18575 weeks
352.00902 -.01319 (352*2π)/18575 weeks
353-.0628 -.04505 (353*2π)/18575 weeks
354-.00669 -.03333 (354*2π)/18575 weeks
355-.02091 -.01222 (355*2π)/18575 weeks
356-.05308 -.01378 (356*2π)/18575 weeks
357-.01044 .02351 (357*2π)/18575 weeks
358-.05053 .01067 (358*2π)/18575 weeks
359.01749 .00096 (359*2π)/18575 weeks
360.00529 -.02519 (360*2π)/18575 weeks
361-.00464 -.00149 (361*2π)/18575 weeks
362-.01091 .0046 (362*2π)/18575 weeks
363.01789 -.01923 (363*2π)/18575 weeks
364-.00533 .01696 (364*2π)/18575 weeks
365-.01976 -.03603 (365*2π)/18575 weeks
366-.00118 -.08051 (366*2π)/18575 weeks
367-.00934 .01494 (367*2π)/18575 weeks
368-.03934 .02 (368*2π)/18575 weeks
369.03038 -.03276 (369*2π)/18575 weeks
370-.03645 -.00108 (370*2π)/18575 weeks
371-.00415 -.01061 (371*2π)/18575 weeks
372-.01467 -.00606 (372*2π)/18575 weeks
373.03831 -.04724 (373*2π)/18575 weeks
374-.00177 -.00093 (374*2π)/18575 weeks
375-.02689 -.04911 (375*2π)/18575 weeks
376-.01184 -.00398 (376*2π)/18575 weeks
377.02889 -.0477 (377*2π)/18575 weeks
378-.04114 -.0208 (378*2π)/18575 weeks
379-.06535 -.01602 (379*2π)/18575 weeks
380-.0182 -.04935 (380*2π)/18575 weeks
381-.01256 -.01185 (381*2π)/18575 weeks
382-.02708 .00427 (382*2π)/18575 weeks
383-.03009 -.01019 (383*2π)/18575 weeks
384.02076 .02652 (384*2π)/18575 weeks
385-.04524 -.03262 (385*2π)/18575 weeks
386-.0272 .00838 (386*2π)/18575 weeks
387.0171 -.02149 (387*2π)/18575 weeks
388.00148 -.02601 (388*2π)/18575 weeks
389-.03635 -.00312 (389*2π)/18575 weeks
390-.01644 -.0074 (390*2π)/18575 weeks
391.0071 -.00637 (391*2π)/18575 weeks
392-.04175 .01568 (392*2π)/18575 weeks
393-.015 -.02297 (393*2π)/18575 weeks
394-.00273 -.00911 (394*2π)/18575 weeks
395.0305 -.00609 (395*2π)/18575 weeks
396-.02724 .00777 (396*2π)/18575 weeks
397-.02523 -.02696 (397*2π)/18575 weeks
398.02631 -.00635 (398*2π)/18575 weeks
399-.02678 -.02939 (399*2π)/18575 weeks
400-.03471 -.00277 (400*2π)/18575 weeks
401.00589 .02936 (401*2π)/18575 weeks
402.02808 -.04488 (402*2π)/1857