n -sin (n Pi/m)
0 0
996509389 0.9999999999999999936803343909104147347649602
1993018778 7.110367421780444203820544*10^-9
2989528167 -0.99999999999999994312300951819373309214272
3986037556 -1.4220734843560888048159932*10^-8
4982546945 0.99999999999999984200835977276037236294134
5979056334 2.1331102265341331173537009*10^-8
6975565723 -0.9999999999999996903363851546103376592470
7972075112 -2.8441469687121773220470618*10^-8
8968584501 0.9999999999999994881070856637436366491891
9965093890 3.5551837108902213829479605*10^-8
10961603279 -0.9999999999999992353204613001602795569398
11958112668 -4.266220453068265264108281*10^-8
12954622057 0.9999999999999989319765120638602791627148
13951131446 4.977257195246308929579909*10^-8
14947640835 -0.9999999999999985780752379548436508027727
15944150224 -5.688293937424352343414727*10^-8
16940659613 0.9999999999999981736166389731104123694150
17937169002 6.399330679602395469664621*10^-8
18933678391 -0.999999999999997718600715118660584310987
19930187780 -7.110367421780438272381475*10^-8
20926697169 0.999999999999997213027466391494189631876
21923206558 7.821404163958480715617173*10^-8
22919715947 -0.999999999999996656896892791611253892513
23916225336 -8.532440906136522763423599*10^-8
24912734725 0.999999999999996050208994319011805209372
25909244114 9.243477648314564379852639*10^-8
26905753503 -0.999999999999995392963770973695874254970
27902262892 -9.954514390492605528956177*10^-8
28898772281 0.999999999999994685161222755663494257869
29895281670 1.0665551132670646174786096*10^-7
30891791059 -0.999999999999993926801349664914701002670
31888300448 -1.1376587874848686281394282*10^-7
32884809837 0.999999999999993117884151701449532830021
33881319226 1.2087624617026725812832619*10^-7
34877828615 -0.999999999999992258409628865268030636612
35874338004 -1.2798661359204764733152991*10^-7
36870847393 0.999999999999991348377781156370237875173
37867356782 1.3509698101382803006407283*10^-7
38863866171 -0.999999999999990387788608574756200554483
39860375560 -1.4220734843560840596647379*10^-7
40856884949 0.999999999999989376642111120425967239359
41853394338 1.4931771585738877467925163*10^-7
42849903727 -0.999999999999988314938288793379589050663
43846413116 -1.5642808327916913584292521*10^-7
44842922505 0.999999999999987202677141593617119665301
45839431894 1.6353845070094948909801336*10^-7
46835941283 -0.999999999999986039858669521138615316221
47832450672 -1.7064881812272983408503493*10^-7
48828960061 0.999999999999984826482872575944134792413
49825469450 1.7775918554451017044450876*10^-7
50821978839 -0.999999999999983562549750758033739438913
51818488228 -1.8486955296629049781695370*10^-7
52814997617 0.999999999999982248059304067407493156797
53811507006 1.9197992038807081584288859*10^-7
54808016395 -0.999999999999980883011532504065462403186
55804525784 -1.9909028780985112416283227*10^-7
56801035173 0.99999999999997946740643606800771619124
57797544562 2.0620065523163142241730360*10^-7
58794053951 -0.99999999999997800124401475923432609018
59790563340 -2.1331102265341171024682141*10^-7
60787072729 0.99999999999997648452426857774536622524
61783582118 2.2042139007519198729190455*10^-7
62780091507 -0.99999999999997491724719752354091327772
63776600896 -2.2753175749697225319307186*10^-7
64773110285 0.99999999999997329941280159662104648495
65769619674 2.3464212491875250759084219*10^-7
66766129063 -0.99999999999997163102108079698584764032
67762638452 -2.4175249234053275012573439*10^-7
68759147841 0.99999999999996991207203512463540109324
69755657230 2.4886285976231298043826728*10^-7
70752166619 -0.99999999999996814256566457956979374918
71748676008 -2.5597322718409319816895973*10^-7
72745185397 0.99999999999996632250196916178911506965
73741694786 2.6308359460587340295833058*10^-7
74738204175 -0.99999999999996445188094887129345707221
75734713564 -2.7019396202765359444689866*10^-7
76731222953 0.99999999999996253070260370808291433044
77727732342 2.7730432944943377227518282*10^-7
78724241731 -0.99999999999996055896693367215758397398
79720751120 -2.8441469687121393608370191*10^-7
80717260509 0.99999999999995853667393876351756568852
81713769898 2.9152506429299408551297478*10^-7
82710279287 -0.99999999999995646382361898216296171578
83706788676 -2.9863543171477422020352026*10^-7
84703298065 0.99999999999995434041597432809387685352
85699807454 3.0574579913655433979585720*10^-7
86696316843 -0.99999999999995216645100480131041845556
87692826232 -3.1285616655833444393050444*10^-7
88689335621 0.99999999999994994192871040181269643174
89685845010 3.1996653398011453224798084*10^-7
90682354399 -0.99999999999994766684909112960082324797
91678863788 -3.2707690140189460438880522*10^-7
92675373177 0.99999999999994534121214698467491392619
93671882566 3.3418726882367465999349645*10^-7
94668391955 -0.99999999999994296501787796703508604437
95664901344 -3.4129763624545469870257335*10^-7
96661410733 0.99999999999994053826628407668145973655
97657920122 3.4840800366723472015655478*10^-7
98654429511 -0.99999999999993806095736531361415769279
99650938900 -3.5551837108901472399595959*10^-7
n -sin (nPi/m)
-8764743995470896 0.99999999999054834268602315545257
-8764743993717298 0.99999999999220898451929175402681
-8764743991963700 0.99999999999370931732871658257551
-8764743990210102 0.99999999999504934111429740058179
-8764743988456504 0.99999999999622905587603399322773
-8764743986702906 0.99999999999724846161392617139442
-8764743984949308 0.99999999999810755832797377166192
-8764743983195710 0.99999999999880634601817665630926
-8764743981442112 0.999999999999344824684534713314488
-8764743979688514 0.999999999999722994327047856354602
-8764743977934916 0.999999999999940854945716024805600
-8764743976181318 0.9999999999999984065405391837424576
-8764743974427720 0.999999999999895649111517323939135
-8764743972674122 0.999999999999632582658650461868576
-8764743970920524 0.999999999999209207181938639702706
-8764743969166926 0.99999999999862552268138192531244
-8764743967413328 0.99999999999788152915698041226766
-8764743965659730 0.99999999999697722660873421983724
-8764743963906132 0.99999999999591261503664349298906
-8764743962152534 0.99999999999468769444070840238994
-8764743960398936 0.99999999999330246482092914440571
-8764743958645338 0.99999999999175692617730594110118
-8764743956891740 0.99999999999005107850983904024015
-8757864253493326 -5.3107965691722240679*10^-8
-8750984549218113 0.99999999999137093375574496549651
-8750984547464515 0.99999999999295409952945938375954
-8750984545710917 0.99999999999437695627932991254837
-8750984543957319 0.99999999999563950400535632376622
-8750984542203721 0.99999999999674174270753841501530
-8750984540450123 0.99999999999768367238587600959681
-8750984538696525 0.99999999999846529304036895651090
-8750984536942927 0.99999999999908660467101713045675
-8750984535189329 0.999999999999547607277820431832477
-8750984533435731 0.999999999999848300860778786735218
-8750984531682133 0.999999999999988685419892146961074
-8750984529928535 0.999999999999968760955160490005134
-8750984528174937 0.999999999999788527466583819061469
-8750984526421339 0.999999999999447984954162163023133
-8750984524667741 0.99999999999894713341789557648216
-8750984522914143 0.99999999999828597285778413972958
-8750984521160545 0.99999999999746450327382795875539
-8750984519406947 0.99999999999648272466602716524859
-8750984517653349 0.99999999999534063703438191659713
-8750984515899751 0.99999999999403824037889239588797
-8750984514146153 0.99999999999257553469955881190705
-8750984512392555 0.99999999999095251999638139913929
-8744104808117342 4.6418291870951769488*10^-8
-8737225104718928 0.99999999999049008253213376890878
-8737225102965330 0.99999999999215608127013770912590
-8737225101211732 0.99999999999366177098429788779836
-8737225099458134 0.99999999999500715167461406355050
-8737225097704536 0.99999999999619222334108602070565
-8737225095950938 0.99999999999721698598371356928614
-8737225094197340 0.99999999999808143960249654501326
-8737225092443742 0.99999999999878558419743480930730
-8737225090690144 0.999999999999329419768528249287521
-8737225088936546 0.999999999999712946315776777772182
-8737225087182948 0.999999999999936163839180333278513
-8737225085429350 0.9999999999999990723387388800227312
-8737225083675752 0.999999999999901671814452407920036
-8737225081922154 0.999999999999643962266320932584610
-8737225080168556 0.999999999999225943694344495329620
-8737225078414958 0.99999999999864761609852316316721
-8737225076661360 0.99999999999790897947885702880853
-8737225074907762 0.99999999999701003383534621066367
-8737225073154164 0.99999999999595077916799085284175
-8737225071400566 0.99999999999473121547679112515083
-8737225069646968 0.99999999999335134276174722309800
-8737225067893370 0.99999999999181116102285936788929
... ...
-6856975954723 2.529397127889491648483*10^-9
22727443691 0.99999999999029771232668217277405225262
22729197289 0.99999999999198128356779889665418253675
22730950887 0.99999999999350454578507188701129063684
22732704485 0.99999999999486749897850089965269744186
22734458083 0.99999999999607014314808571608470696674
22736211681 0.99999999999711247829382614351260635245
22737965279 0.99999999999799450441572201484066586598
22739718877 0.99999999999871622151377318867213890040
22741472475 0.99999999999927762958797954930926197486
22743226073 0.99999999999967872863834100675325473464
22744979671 0.999999999999919518664857496704319951106
22746733269 0.999999999999999999667528980561643521802037
22748486867 0.999999999999920171646355445423394470389
22750240465 0.99999999999968003460133690408672494668
22751994063 0.99999999999927958853247339504777022661
22753747661 0.99999999999871883343976498250164871228
22755501259 0.99999999999799776932321175634246193190
22757254857 0.99999999999711639618281383216329453978
22759008455 0.99999999999607471401857135125621431632
22760762053 0.99999999999487272283048448061227216802
22762515651 0.99999999999351042261855341292150212739
22764269249 0.99999999999198781338277836657292135297
22766022847 0.99999999999030489512315958565453012925
-8737225066139772 0.99999999999011067026012780642974
Let m be the MRB Constant
Some trigonometric appox.s
n -sin (nPi/m)
3711236386 0.9999999999999996576...
21836715219 0.999999999999999318...
20032006272 0.999999999999999582...
20110395635 0.999999999999999929...
23429129 0.999999999999999684060...
86491339 0.999999999999999147471...
101818492 0.99999999999999910971...
164880702 0.99999999999999970638...
243270065 0.99999999999999997427...
321659428 0.99999999999999995112...
400048791 0.99999999999999963695...
463111001 0.99999999999999922053...
478438154 0.99999999999999903174...
541500364 0.99999999999999974858...
698279090 0.999999999999999931...
776668453 0.999999999999999586...
839730663 0.999999999999999290...
855057816 0.999999999999998950505...
918120026 0.999999999999999787...
996509389 0.999999999999999993...
20188784998 0.999999999999999986...
20267174361 0.999999999999999751...
20330236571 0.999999999999999025...
20345563724 0.999999999999999226...
1294739688 0.999999999999999823170...
1373129051 0.99999999999999999847...
1451518414 0.99999999999999988275...
1529907777 0.99999999999999947599...
1592969987 0.99999999999999942...
1671359350 0.99999999999999985555...
20565404660 0.999999999999999975350...
20643794023 0.99999999999999971005...
20706856233 0.999999999999999103299...
20722183386 0.9999999999999991537...
1906527439 0.9999999999999994157...
1969589649 0.9999999999999994800...
2047979012 0.9999999999999998846...
2126368375 0.9999999999999999982...
2204757738 0.9999999999999998208...
2283147101 0.9999999999999993523...
20863634959 0.999999999999999966...
20942024322 0.99999999999999996101303...
21020413685 0.999999999999999664856431...
2346209311 0.9999999999999995367457230...
2424598674 0.9999999999999999105014000...
2502988037 0.9999999999999999932264593...
2581377400 0.9999999999999997849209011...
2644439610 0.9999999999999989562454129...
2659766763 0.9999999999999992855847252...
2722828973 0.9999999999999995901716248...
2801218336 0.9999999999999999330672191...
2879607699 0.9999999999999999849321958...
2957997062 0.9999999999999997457665548...
3021059272 0.9999999999999990372590796...
3036386425 0.9999999999999992155702963...
3099448635 0.9999999999999996403252088...
21083475895 0.999999999999999178269648...
21098803048 0.999999999999999077669208...
21161865258 0.999999999999999724344813...
21240254621 0.999999999999999979389360...
21318643984 0.999999999999999943403290...
21397033347 0.999999999999999616386602...
21460095557 0.999999999999999249967833...
21475422710 0.999999999999998998339296...
3177837998 0.99999999999999995236...
3256227361 0.99999999999999997336...
3334616724 0.99999999999999970333...
3397678934 0.999999999999999115000...
3413006087 0.999999999999999142283...
3476068297 0.999999999999999687206...
3554457660 0.999999999999999968381...
21538484920 0.99999999999999976518...
21616874283 0.99999999999999998936...
21695263646 0.999999999999999922521226667...
21773653009 0.99999999999999956464445...
3774298596 0.999999999999999189469459...
3789625749 0.999999999999999065724484...
3852687959 0.999999999999999730815422...
3931077322 0.999999999999999981130769...
4009466685 0.999999999999999940415497...
4087856048 0.9999999999999996086696086...
4150918258 0.9999999999999992606661720606067...
4166245411 0.9999999999999989858931019...
4229307621 0.9999999999999997711520531...
4307696984 0.9999999999999999906073166...
4386086347 0.9999999999999999190319624...
21852042372 0.999999999999998915737067...
21915104582 0.999999999999999802748698...
21993493945 0.999999999999999996073080...
22071883308 0.999999999999999898366844...
22150272671 0.999999999999999509629991...
4464475710 0.9999999999999995564259907...
4527537920 0.9999999999999993285905670...
4542865073 0.9999999999999989027894013...
4605927283 0.9999999999999998082163654...
4684316646 0.9999999999999999968115461...
4762706009 0.9999999999999998943761093...
4841095372 0.9999999999999995009100548...
4904157582 0.9999999999999993932426440...
4982546945 0.9999999999999998420083597...
22213334881 0.999999999999999383547248...
22291724244 0.999999999999999837042164...
22370113607 0.999999999999999999506463...
22448502970 0.999999999999999870940145...
22526892333 0.999999999999999451343209...
5060936308 0.9999999999999999997434578...
5139325671 0.9999999999999998664479382...
5217715034 0.9999999999999994421218011...
5280777244 0.9999999999999994546224032...
5359166607 0.9999999999999998725280362...
5437555970 0.9999999999999999994030515...
5515945333 0.9999999999999998352474493...
5594334696 0.9999999999999993800612294...
22589954543 0.999999999999999445428478...
22668343906 0.999999999999999868063312...
22746733269 0.999999999999999999667528...
22825122632 0.999999999999999840241127...
1074898752 0.9999999999999999088151069...
1153288115 0.9999999999999995329192619...
1216350325 0.9999999999999993568341099...
20408625934 0.999999999999999632851656...
20487015297 0.999999999999999949616369...