Questions - MaplePrimes

Array 2 indecies problem...

Asked by: mostibra 20

March 29 2017

0 3

hello, For the P, and A arrays which depend on i,j, it always gives me index out of range i dont know whats wrong, any help, and thank you

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restart

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N:=4000;
g:=Array(0..N):
g[0]:=0:
g[1]:=-2.47:
g[2]:=-2.33:
g[3]:=0.205:
g[4]:=2.99:
g[5]:=2.66:
g[6]:=2.65:
g[7]:=2.59:
g[8]:=2.5:
g[9]:=2.42:
g[10]:=2.37:
g[11]:=2.37:
g[12]:=2.39:
g[13]:=2.42:
g[14]:=2.43:
g[15]:=2.42:
g[16]:=2.4:
g[17]:=2.39:
g[18]:=2.39:
g[19]:=2.39:
g[20]:=2.38:
g[21]:=2.37:
g[22]:=2.36:
g[23]:=2.35:
g[24]:=2.34:
g[25]:=2.34:
g[26]:=2.34:
g[27]:=2.35:
g[28]:=2.37:
g[29]:=2.38:
g[30]:=2.4:
g[31]:=2.41:
g[32]:=2.41:
g[33]:=2.4:
g[34]:=2.4:
g[35]:=2.4:
g[36]:=2.4:
g[37]:=2.4:
g[38]:=2.39:
g[39]:=2.36:
g[40]:=2.32:
g[41]:=2.29:
g[42]:=2.29:
g[43]:=2.35:
g[44]:=2.44:
g[45]:=2.53:
g[46]:=2.61:
g[47]:=2.68:
g[48]:=2.69:
g[49]:=2.59:
g[50]:=2.38:
g[51]:=2.13:
g[52]:=1.89:
g[53]:=1.68:
g[54]:=1.52:
g[55]:=1.55:
g[56]:=1.83:
g[57]:=2.26:
g[58]:=2.57:
g[59]:=2.56:
g[60]:=2.31:
g[61]:=2.12:
g[62]:=2.14:
g[63]:=2.36:
g[64]:=2.67:
g[65]:=2.94:
g[66]:=3.14:
g[67]:=3.27:
g[68]:=3.26:
g[69]:=3.03:
g[70]:=2.66:
g[71]:=2.41:
g[72]:=2.4:
g[73]:=2.55:
g[74]:=2.7:
g[75]:=2.75:
g[76]:=2.7:
g[77]:=2.54:
g[78]:=2.24:
g[79]:=1.84:
g[80]:=1.4:
g[81]:=0.959:
g[82]:=0.488:
g[83]:=-0.0341:
g[84]:=-0.501:
g[85]:=-0.776:
g[86]:=-0.866:
g[87]:=-0.959:
g[88]:=-1.28:
g[89]:=-1.9:
g[90]:=-2.68:
g[91]:=-3.42:
g[92]:=-3.84:
g[93]:=-3.72:
g[94]:=-3.22:
g[95]:=-2.66:
g[96]:=-2.26:
g[97]:=-1.99:
g[98]:=-1.73:
g[99]:=-1.38:
g[100]:=-1.14:
g[101]:=-1.3:
g[102]:=-1.92:
g[103]:=-2.8:
g[104]:=-3.81:
g[105]:=-4.84:
g[106]:=-5.75:
g[107]:=-6.53:
g[108]:=-7.28:
g[109]:=-8.12:
g[110]:=-8.86:
g[111]:=-9.17:
g[112]:=-8.96:
g[113]:=-8.51:
g[114]:=-7.96:
g[115]:=-7.17:
g[116]:=-6.13:
g[117]:=-5.21:
g[118]:=-4.77:
g[119]:=-4.31:
g[120]:=-2.46:
g[121]:=1.47:
g[122]:=6.76:
g[123]:=12:
g[124]:=15.4:
g[125]:=15.6:
g[126]:=13.2:
g[127]:=10.4:
g[128]:=8.38:
g[129]:=7.39:
g[130]:=6.55:
g[131]:=5.13:
g[132]:=3.07:
g[133]:=0.816:
g[134]:=-1.26:
g[135]:=-3.08:
g[136]:=-4.81:
g[137]:=-6.62:
g[138]:=-8.57:
g[139]:=-10.8:
g[140]:=-13.3:
g[141]:=-16.2:
g[142]:=-19.4:
g[143]:=-22.5:
g[144]:=-25.6:
g[145]:=-28.7:
g[146]:=-31.9:
g[147]:=-34.4:
g[148]:=-34.6:
g[149]:=-32:
g[150]:=-27.9:
g[151]:=-24.1:
g[152]:=-21.2:
g[153]:=-19.9:
g[154]:=-20.4:
g[155]:=-21.8:
g[156]:=-22.9:
g[157]:=-22.8:
g[158]:=-21.8:
g[159]:=-20.8:
g[160]:=-20.8:
g[161]:=-22.4:
g[162]:=-25.1:
g[163]:=-28.1:
g[164]:=-30.5:
g[165]:=-29.5:
g[166]:=-19.3:
g[167]:=1.66:
g[168]:=28:
g[169]:=51.6:
g[170]:=64.3:
g[171]:=63.9:
g[172]:=56.7:
g[173]:=50.9:
g[174]:=50.1:
g[175]:=52.3:
g[176]:=54:
g[177]:=53.3:
g[178]:=51.1:
g[179]:=49.5:
g[180]:=49.7:
g[181]:=50.9:
g[182]:=52.3:
g[183]:=53.3:
g[184]:=53.9:
g[185]:=53.7:
g[186]:=51.7:
g[187]:=47.8:
g[188]:=43:
g[189]:=38.4:
g[190]:=34.5:
g[191]:=30.7:
g[192]:=26.7:
g[193]:=22:
g[194]:=16.3:
g[195]:=9.68:
g[196]:=2.8:
g[197]:=-3.9:
g[198]:=-10.4:
g[199]:=-16.8:
g[200]:=-23.4:
g[201]:=-30.2:
g[202]:=-37.3:
g[203]:=-44.4:
g[204]:=-51.5:
g[205]:=-58.6:
g[206]:=-65.7:
g[207]:=-72.8:
g[208]:=-80:
g[209]:=-87.3:
g[210]:=-94.3:
g[211]:=-100:
g[212]:=-105:
g[213]:=-109:
g[214]:=-113:
g[215]:=-118:
g[216]:=-121:
g[217]:=-119:
g[218]:=-112:
g[219]:=-101:
g[220]:=-85.5:
g[221]:=-56.1:
g[222]:=-2.21:
g[223]:=63.7:
g[224]:=105:
g[225]:=103:
g[226]:=75.8:
g[227]:=51.8:
g[228]:=43.7:
g[229]:=46.7:
g[230]:=49.8:
g[231]:=45.7:
g[232]:=34.5:
g[233]:=20.4:
g[234]:=8.14:
g[235]:=-0.137:
g[236]:=-5.49:
g[237]:=-10.4:
g[238]:=-16.5:
g[239]:=-24.1:
g[240]:=-32.1:
g[241]:=-39.9:
g[242]:=-47.1:
g[243]:=-53.9:
g[244]:=-61.4:
g[245]:=-66.6:
g[246]:=-52.7:
g[247]:=-1.11:
g[248]:=70.1:
g[249]:=114:
g[250]:=109:
g[251]:=74.9:
g[252]:=44.3:
g[253]:=32.3:
g[254]:=33.8:
g[255]:=36.1:
g[256]:=30.6:
g[257]:=16.7:
g[258]:=-0.342:
g[259]:=-9.66:
g[260]:=1.07:
g[261]:=32.7:
g[262]:=69.1:
g[263]:=88.7:
g[264]:=84.5:
g[265]:=68:
g[266]:=54.6:
g[267]:=50.7:
g[268]:=53:
g[269]:=55.3:
g[270]:=53.3:
g[271]:=47.4:
g[272]:=40:
g[273]:=33.5:
g[274]:=28.5:
g[275]:=24.5:
g[276]:=20.6:
g[277]:=16.2:
g[278]:=11.3:
g[279]:=6.23:
g[280]:=1.22:
g[281]:=-3.65:
g[282]:=-7.83:
g[283]:=-8.87:
g[284]:=-4.33:
g[285]:=4.63:
g[286]:=14.4:
g[287]:=22.7:
g[288]:=29.4:
g[289]:=34.8:
g[290]:=37:
g[291]:=34.6:
g[292]:=29.4:
g[293]:=24.2:
g[294]:=20.5:
g[295]:=17.7:
g[296]:=14.7:
g[297]:=10.5:
g[298]:=5.18:
g[299]:=-0.647:
g[300]:=-6.32:
g[301]:=-11.6:
g[302]:=-16.5:
g[303]:=-21.7:
g[304]:=-25.6:
g[305]:=-23.5:
g[306]:=-11.1:
g[307]:=7.15:
g[308]:=19.6:
g[309]:=18.9:
g[310]:=8.58:
g[311]:=-2.33:
g[312]:=-8.51:
g[313]:=-10.4:
g[314]:=-11.4:
g[315]:=-14.4:
g[316]:=-19.9:
g[317]:=-26.7:
g[318]:=-33.4:
g[319]:=-39.3:
g[320]:=-44.4:
g[321]:=-49.6:
g[322]:=-53.8:
g[323]:=-49.2:
g[324]:=-28.9:
g[325]:=-4.53:
g[326]:=4.71:
g[327]:=-4.79:
g[328]:=-21.6:
g[329]:=-34.2:
g[330]:=-39.2:
g[331]:=-40.3:
g[332]:=-42.5:
g[333]:=-48:
g[334]:=-56.3:
g[335]:=-65.8:
g[336]:=-73:
g[337]:=-62.1:
g[338]:=-15:
g[339]:=49.3:
g[340]:=84:
g[341]:=72.5:
g[342]:=38.5:
g[343]:=11.1:
g[344]:=1.37:
g[345]:=2.99:
g[346]:=3.92:
g[347]:=-3.22:
g[348]:=-16.2:
g[349]:=-18.8:
g[350]:=6.13:
g[351]:=48:
g[352]:=75:
g[353]:=72.6:
g[354]:=53.2:
g[355]:=36:
g[356]:=30:
g[357]:=32.1:
g[358]:=34.8:
g[359]:=33.2:
g[360]:=26.7:
g[361]:=18.2:
g[362]:=10.4:
g[363]:=4.38:
g[364]:=2.37:
g[365]:=8.7:
g[366]:=20.5:
g[367]:=27.3:
g[368]:=24.6:
g[369]:=16.4:
g[370]:=9.09:
g[371]:=5.53:
g[372]:=4.69:
g[373]:=4.03:
g[374]:=1.66:
g[375]:=-2.77:
g[376]:=-8.32:
g[377]:=-13.8:
g[378]:=-18.6:
g[379]:=-22.6:
g[380]:=-24.2:
g[381]:=-21.2:
g[382]:=-13.8:
g[383]:=-5.19:
g[384]:=2.38:
g[385]:=8.13:
g[386]:=10.7:
g[387]:=8.33:
g[388]:=2.13:
g[389]:=-4.66:
g[390]:=-9.94:
g[391]:=-13.8:
g[392]:=-17.8:
g[393]:=-23:
g[394]:=-29.6:
g[395]:=-36.9:
g[396]:=-43.9:
g[397]:=-50.5:
g[398]:=-56.7:
g[399]:=-63.1:
g[400]:=-66.5:
g[401]:=-59:
g[402]:=-37.3:
g[403]:=-9.47:
g[404]:=9.1:
g[405]:=9.64:
g[406]:=-2.45:
g[407]:=-15.2:
g[408]:=-20.7:
g[409]:=-16.5:
g[410]:=-4.85:
g[411]:=7.56:
g[412]:=12.9:
g[413]:=8.73:
g[414]:=-0.484:
g[415]:=-8.54:
g[416]:=-12.7:
g[417]:=-14.3:
g[418]:=-15.8:
g[419]:=-18.8:
g[420]:=-23.5:
g[421]:=-29:
g[422]:=-34.5:
g[423]:=-39.6:
g[424]:=-44.3:
g[425]:=-48.8:
g[426]:=-53.4:
g[427]:=-58.3:
g[428]:=-63.5:
g[429]:=-68.9:
g[430]:=-73.7:
g[431]:=-76.4:
g[432]:=-76.5:
g[433]:=-75.5:
g[434]:=-74.9:
g[435]:=-74.7:
g[436]:=-72.9:
g[437]:=-68.3:
g[438]:=-57.3:
g[439]:=-28.8:
g[440]:=17.2:
g[441]:=53:
g[442]:=55.7:
g[443]:=33.2:
g[444]:=7.89:
g[445]:=-5.27:
g[446]:=-1.9:
g[447]:=15.4:
g[448]:=38.2:
g[449]:=57.3:
g[450]:=70.2:
g[451]:=80:
g[452]:=88.9:
g[453]:=93.4:
g[454]:=89.5:
g[455]:=79.8:
g[456]:=69.6:
g[457]:=61.7:
g[458]:=55.5:
g[459]:=49.1:
g[460]:=41.2:
g[461]:=31.3:
g[462]:=19.9:
g[463]:=7.78:
g[464]:=-4.19:
g[465]:=-15.6:
g[466]:=-26.6:
g[467]:=-37.6:
g[468]:=-49.1:
g[469]:=-61:
g[470]:=-68.7:
g[471]:=-60.1:
g[472]:=-29.1:
g[473]:=8.5:
g[474]:=27.2:
g[475]:=18.6:
g[476]:=-3.9:
g[477]:=-22.6:
g[478]:=-30.5:
g[479]:=-31.5:
g[480]:=-32.9:
g[481]:=-39:
g[482]:=-49.7:
g[483]:=-61.9:
g[484]:=-73.1:
g[485]:=-82.5:
g[486]:=-91.3:
g[487]:=-98:
g[488]:=-88.7:
g[489]:=-46.4:
g[490]:=19.2:
g[491]:=70.2:
g[492]:=79.6:
g[493]:=57.1:
g[494]:=31:
g[495]:=19.5:
g[496]:=22.2:
g[497]:=28.4:
g[498]:=29.3:
g[499]:=27.6:
g[500]:=35.1:
g[501]:=56.4:
g[502]:=79.4:
g[503]:=88:
g[504]:=79.8:
g[505]:=65.7:
g[506]:=55.8:
g[507]:=52.7:
g[508]:=52.7:
g[509]:=51.5:
g[510]:=47.1:
g[511]:=40.2:
g[512]:=32.7:
g[513]:=26.1:
g[514]:=20.6:
g[515]:=16.6:
g[516]:=17.3:
g[517]:=25.6:
g[518]:=39.1:
g[519]:=50.9:
g[520]:=54.8:
g[521]:=50.9:
g[522]:=44.7:
g[523]:=41:
g[524]:=40.2:
g[525]:=39:
g[526]:=34.8:
g[527]:=27.6:
g[528]:=19.5:
g[529]:=11.8:
g[530]:=4.68:
g[531]:=-0.0161:
g[532]:=9.3:
g[533]:=37.8:
g[534]:=65:
g[535]:=69.6:
g[536]:=54.1:
g[537]:=34.7:
g[538]:=23.1:
g[539]:=20.1:
g[540]:=20:
g[541]:=17.2:
g[542]:=10.2:
g[543]:=0.472:
g[544]:=-9.3:
g[545]:=-17.7:
g[546]:=-24.7:
g[547]:=-31:
g[548]:=-34.7:
g[549]:=-32.6:
g[550]:=-25:
g[551]:=-15.5:
g[552]:=-7.16:
g[553]:=-1.03:
g[554]:=1.54:
g[555]:=-1.08:
g[556]:=-7.59:
g[557]:=-14.6:
g[558]:=-19.9:
g[559]:=-23.7:
g[560]:=-27.6:
g[561]:=-32.4:
g[562]:=-38.3:
g[563]:=-44.7:
g[564]:=-50.8:
g[565]:=-56.5:
g[566]:=-61.9:
g[567]:=-67.4:
g[568]:=-71.8:
g[569]:=-71:
g[570]:=-61.1:
g[571]:=-44.7:
g[572]:=-27.7:
g[573]:=-14.2:
g[574]:=-6.32:
g[575]:=-5.46:
g[576]:=-9.79:
g[577]:=-14.9:
g[578]:=-17.9:
g[579]:=-18.8:
g[580]:=-18.7:
g[581]:=-17:
g[582]:=-12.3:
g[583]:=-5.34:
g[584]:=1.89:
g[585]:=7.48:
g[586]:=9.51:
g[587]:=7.82:
g[588]:=4.95:
g[589]:=3.97:
g[590]:=5.77:
g[591]:=8.87:
g[592]:=11.1:
g[593]:=11.1:
g[594]:=8.66:
g[595]:=5.36:
g[596]:=2.49:
g[597]:=-0.111:
g[598]:=-3.4:
g[599]:=-7.77:
g[600]:=-12.8:
g[601]:=-17.9:
g[602]:=-21.7:
g[603]:=-21.5:
g[604]:=-15.8:
g[605]:=-6.93:
g[606]:=1.75:
g[607]:=9.28:
g[608]:=15.2:
g[609]:=16.6:
g[610]:=11.8:
g[611]:=3.52:
g[612]:=-4.39:
g[613]:=-9.82:
g[614]:=-11.1:
g[615]:=-6.99:
g[616]:=0.81:
g[617]:=7.51:
g[618]:=8.73:
g[619]:=4.22:
g[620]:=-2.33:
g[621]:=-7.29:
g[622]:=-9.73:
g[623]:=-10.9:
g[624]:=-12.5:
g[625]:=-15.4:
g[626]:=-18.5:
g[627]:=-18:
g[628]:=-12:
g[629]:=-3.51:
g[630]:=3.22:
g[631]:=6.59:
g[632]:=6.58:
g[633]:=4:
g[634]:=0.643:
g[635]:=-1.98:
g[636]:=-3.5:
g[637]:=-3.73:
g[638]:=-2.21:
g[639]:=0.696:
g[640]:=3.58:
g[641]:=4.88:
g[642]:=4.02:
g[643]:=1.95:
g[644]:=0.0841:
g[645]:=-0.892:
g[646]:=-1.25:
g[647]:=-1.64:
g[648]:=-2.3:
g[649]:=-2.27:
g[650]:=0.0121:
g[651]:=4.64:
g[652]:=10.2:
g[653]:=15.2:
g[654]:=18.1:
g[655]:=17.1:
g[656]:=12.8:
g[657]:=8.43:
g[658]:=6.61:
g[659]:=7.11:
g[660]:=8.06:
g[661]:=7.98:
g[662]:=6.73:
g[663]:=4.88:
g[664]:=2.29:
g[665]:=-1.86:
g[666]:=-6.19:
g[667]:=-6.82:
g[668]:=-2.23:
g[669]:=4.36:
g[670]:=7.94:
g[671]:=6.53:
g[672]:=2.75:
g[673]:=0.394:
g[674]:=0.916:
g[675]:=3.2:
g[676]:=5.36:
g[677]:=6.23:
g[678]:=5.49:
g[679]:=3.49:
g[680]:=1.11:
g[681]:=-0.89:
g[682]:=-2.58:
g[683]:=-4.5:
g[684]:=-6.98:
g[685]:=-9.84:
g[686]:=-13:
g[687]:=-17.3:
g[688]:=-23.2:
g[689]:=-29.9:
g[690]:=-33.4:
g[691]:=-28.9:
g[692]:=-16.2:
g[693]:=-0.548:
g[694]:=11.9:
g[695]:=16.1:
g[696]:=11.8:
g[697]:=3.92:
g[698]:=-2.09:
g[699]:=-4.64:
g[700]:=-5.35:
g[701]:=-5.34:
g[702]:=-3.44:
g[703]:=1.12:
g[704]:=7.1:
g[705]:=12.9:
g[706]:=17.9:
g[707]:=20.8:
g[708]:=20:
g[709]:=15.5:
g[710]:=9.94:
g[711]:=5.28:
g[712]:=1.89:
g[713]:=-0.953:
g[714]:=-3.84:
g[715]:=-6.99:
g[716]:=-10.4:
g[717]:=-14:
g[718]:=-16.3:
g[719]:=-14.9:
g[720]:=-9.28:
g[721]:=-1.49:
g[722]:=5.8:
g[723]:=10.5:
g[724]:=10.9:
g[725]:=7.56:
g[726]:=3.53:
g[727]:=2.19:
g[728]:=4.12:
g[729]:=7.22:
g[730]:=8.73:
g[731]:=7.34:
g[732]:=3.96:
g[733]:=0.423:
g[734]:=-2.1:
g[735]:=-3.63:
g[736]:=-4.85:
g[737]:=-6.41:
g[738]:=-8.49:
g[739]:=-10.4:
g[740]:=-10.7:
g[741]:=-8.43:
g[742]:=-4.69:
g[743]:=-0.914:
g[744]:=1.41:
g[745]:=0.512:
g[746]:=-4.07:
g[747]:=-10.5:
g[748]:=-16.6:
g[749]:=-20.8:
g[750]:=-21.6:
g[751]:=-17.8:
g[752]:=-10.9:
g[753]:=-4.25:
g[754]:=-0.36:
g[755]:=0.405:
g[756]:=-0.0522:
g[757]:=0.143:
g[758]:=0.59:
g[759]:=-0.0456:
g[760]:=-1.35:
g[761]:=-2.32:
g[762]:=-3.25:
g[763]:=-5.04:
g[764]:=-7.79:
g[765]:=-10.9:
g[766]:=-13.9:
g[767]:=-16.6:
g[768]:=-19.2:
g[769]:=-21.4:
g[770]:=-22.1:
g[771]:=-20.8:
g[772]:=-18.3:
g[773]:=-15.9:
g[774]:=-14.6:
g[775]:=-15.7:
g[776]:=-19.7:
g[777]:=-25.4:
g[778]:=-30.2:
g[779]:=-30:
g[780]:=-22.8:
g[781]:=-14.2:
g[782]:=-10.1:
g[783]:=-10.1:
g[784]:=-8.82:
g[785]:=-3.18:
g[786]:=4.5:
g[787]:=10.1:
g[788]:=12.2:
g[789]:=12.4:
g[790]:=12.9:
g[791]:=14.3:
g[792]:=16:
g[793]:=17.2:
g[794]:=17.8:
g[795]:=18:
g[796]:=17.7:
g[797]:=17.5:
g[798]:=17.1:
g[799]:=14.8:
g[800]:=8.49:
g[801]:=-1.31:
g[802]:=-9.26:
g[803]:=-8.91:
g[804]:=-0.172:
g[805]:=11.3:
g[806]:=20.6:
g[807]:=25.1:
g[808]:=23.9:
g[809]:=18.5:
g[810]:=13.1:
g[811]:=11:
g[812]:=12:
g[813]:=13.8:
g[814]:=14.4:
g[815]:=13.6:
g[816]:=12.2:
g[817]:=10.8:
g[818]:=10.1:
g[819]:=9.88:
g[820]:=9.77:
g[821]:=9.73:
g[822]:=10.1:
g[823]:=10.9:
g[824]:=12:
g[825]:=12.9:
g[826]:=12.8:
g[827]:=11.2:
g[828]:=8.59:
g[829]:=5.79:
g[830]:=3.15:
g[831]:=0.335:
g[832]:=-2.89:
g[833]:=-6.47:
g[834]:=-10.1:
g[835]:=-12.9:
g[836]:=-14.1:
g[837]:=-14:
g[838]:=-13.7:
g[839]:=-13.8:
g[840]:=-14.3:
g[841]:=-14.7:
g[842]:=-14.6:
g[843]:=-14:
g[844]:=-13.3:
g[845]:=-12.7:
g[846]:=-11.8:
g[847]:=-10.4:
g[848]:=-8.32:
g[849]:=-6.42:
g[850]:=-5.85:
g[851]:=-6.9:
g[852]:=-8.74:
g[853]:=-10.5:
g[854]:=-11.6:
g[855]:=-5.92:
g[856]:=14.4:
g[857]:=41.3:
g[858]:=58.8:
g[859]:=62.2:
g[860]:=57:
g[861]:=50.2:
g[862]:=46.5:
g[863]:=46.3:
g[864]:=47.1:
g[865]:=46.6:
g[866]:=43.6:
g[867]:=38.9:
g[868]:=33.8:
g[869]:=29.3:
g[870]:=25.5:
g[871]:=22.2:
g[872]:=18.7:
g[873]:=15:
g[874]:=10.9:
g[875]:=6.83:
g[876]:=3.01:
g[877]:=0.584:
g[878]:=0.781:
g[879]:=3.23:
g[880]:=6.21:
g[881]:=8.11:
g[882]:=7.52:
g[883]:=3.9:
g[884]:=-1.48:
g[885]:=-6.5:
g[886]:=-9.18:
g[887]:=-8.13:
g[888]:=-4.42:
g[889]:=-2:
g[890]:=-4.7:
g[891]:=-12.3:
g[892]:=-21.4:
g[893]:=-28.9:
g[894]:=-34.5:
g[895]:=-39.3:
g[896]:=-45:
g[897]:=-52.1:
g[898]:=-60.5:
g[899]:=-67.7:
g[900]:=-61.7:
g[901]:=-28.7:
g[902]:=20.3:
g[903]:=52:
g[904]:=49.6:
g[905]:=26.3:
g[906]:=4.48:
g[907]:=-4.32:
g[908]:=0.198:
g[909]:=14.8:
g[910]:=32.6:
g[911]:=42.7:
g[912]:=39.9:
g[913]:=29.3:
g[914]:=19.6:
g[915]:=16.2:
g[916]:=19.8:
g[917]:=26.1:
g[918]:=27.6:
g[919]:=20.6:
g[920]:=8.04:
g[921]:=-4.76:
g[922]:=-15.5:
g[923]:=-25.5:
g[924]:=-36.5:
g[925]:=-49.2:
g[926]:=-62:
g[927]:=-67:
g[928]:=-55.8:
g[929]:=-32.3:
g[930]:=-12.7:
g[931]:=-8.4:
g[932]:=-16.1:
g[933]:=-23.6:
g[934]:=-21.6:
g[935]:=-10.7:
g[936]:=2.9:
g[937]:=13.6:
g[938]:=20.2:
g[939]:=24.9:
g[940]:=30:
g[941]:=36.1:
g[942]:=42.1:
g[943]:=46.6:
g[944]:=48.1:
g[945]:=44.5:
g[946]:=36.1:
g[947]:=25.7:
g[948]:=16.2:
g[949]:=8.28:
g[950]:=0.997:
g[951]:=-6.82:
g[952]:=-16:
g[953]:=-27.1:
g[954]:=-40.2:
g[955]:=-54.7:
g[956]:=-63.8:
g[957]:=-52.9:
g[958]:=-19.3:
g[959]:=14.4:
g[960]:=25.4:
g[961]:=14.7:
g[962]:=-1.59:
g[963]:=-10.3:
g[964]:=-9.55:
g[965]:=-4.89:
g[966]:=-2.44:
g[967]:=-5.39:
g[968]:=-14:
g[969]:=-25.6:
g[970]:=-33.6:
g[971]:=-28.9:
g[972]:=-9.55:
g[973]:=15.5:
g[974]:=32.1:
g[975]:=31.4:
g[976]:=17.4:
g[977]:=2.52:
g[978]:=-4.19:
g[979]:=-2.38:
g[980]:=2.19:
g[981]:=4.06:
g[982]:=1.51:
g[983]:=-4.48:
g[984]:=-12.1:
g[985]:=-19.1:
g[986]:=-24:
g[987]:=-26.5:
g[988]:=-28.2:
g[989]:=-30.4:
g[990]:=-32:
g[991]:=-30.8:
g[992]:=-26.5:
g[993]:=-20.5:
g[994]:=-14:
g[995]:=-7.2:
g[996]:=-1.6:
g[997]:=0.226:
g[998]:=-0.668:
g[999]:=0.785:
g[1000]:=7.5:
g[1001]:=16.9:
g[1002]:=22.5:
g[1003]:=19.6:
g[1004]:=10.1:
g[1005]:=-0.641:
g[1006]:=-8.79:
g[1007]:=-14.4:
g[1008]:=-18.8:
g[1009]:=-19.4:
g[1010]:=-12.2:
g[1011]:=-0.675:
g[1012]:=6.93:
g[1013]:=7.2:
g[1014]:=2.66:
g[1015]:=-1.49:
g[1016]:=-1.26:
g[1017]:=3.52:
g[1018]:=9.92:
g[1019]:=15:
g[1020]:=17.7:
g[1021]:=17.6:
g[1022]:=15.2:
g[1023]:=11.8:
g[1024]:=8.78:
g[1025]:=6.68:
g[1026]:=4.69:
g[1027]:=1.13:
g[1028]:=-4.71:
g[1029]:=-11.9:
g[1030]:=-19.1:
g[1031]:=-25.7:
g[1032]:=-31.9:
g[1033]:=-38.1:
g[1034]:=-43.5:
g[1035]:=-44.1:
g[1036]:=-37.2:
g[1037]:=-25:
g[1038]:=-11.5:
g[1039]:=1.13:
g[1040]:=11.8:
g[1041]:=17.8:
g[1042]:=16.5:
g[1043]:=9.72:
g[1044]:=4.57:
g[1045]:=8.11:
g[1046]:=21.2:
g[1047]:=37.1:
g[1048]:=45.9:
g[1049]:=42.2:
g[1050]:=29.9:
g[1051]:=16.9:
g[1052]:=8.27:
g[1053]:=3.56:
g[1054]:=-0.0378:
g[1055]:=-4.1:
g[1056]:=-8.68:
g[1057]:=-13.5:
g[1058]:=-18.2:
g[1059]:=-21.1:
g[1060]:=-19.5:
g[1061]:=-13.6:
g[1062]:=-6:
g[1063]:=0.0102:
g[1064]:=3.06:
g[1065]:=4.09:
g[1066]:=5.13:
g[1067]:=7.37:
g[1068]:=10.1:
g[1069]:=11.4:
g[1070]:=10.6:
g[1071]:=9.51:
g[1072]:=10.7:
g[1073]:=14.6:
g[1074]:=19.6:
g[1075]:=24:
g[1076]:=27.5:
g[1077]:=30.2:
g[1078]:=31.4:
g[1079]:=29.2:
g[1080]:=23.9:
g[1081]:=17.4:
g[1082]:=11.8:
g[1083]:=7.21:
g[1084]:=2.77:
g[1085]:=-1.71:
g[1086]:=-4.37:
g[1087]:=-3.65:
g[1088]:=-0.845:
g[1089]:=1.46:
g[1090]:=2.13:
g[1091]:=1.7:
g[1092]:=2.16:
g[1093]:=6.28:
g[1094]:=12.6:
g[1095]:=14.9:
g[1096]:=10.4:
g[1097]:=2.15:
g[1098]:=-5.42:
g[1099]:=-10.5:
g[1100]:=-14.2:
g[1101]:=-17.8:
g[1102]:=-22.2:
g[1103]:=-26.6:
g[1104]:=-28.6:
g[1105]:=-25.1:
g[1106]:=-16.7:
g[1107]:=-6.68:
g[1108]:=2.1:
g[1109]:=9.2:
g[1110]:=15.1:
g[1111]:=18.5:
g[1112]:=17.4:
g[1113]:=13.1:
g[1114]:=8.28:
g[1115]:=4.73:
g[1116]:=2.26:
g[1117]:=-0.191:
g[1118]:=-3.44:
g[1119]:=-7.58:
g[1120]:=-12.2:
g[1121]:=-15.8:
g[1122]:=-14.8:
g[1123]:=-7.43:
g[1124]:=3.6:
g[1125]:=13.5:
g[1126]:=19.3:
g[1127]:=21.9:
g[1128]:=23.7:
g[1129]:=25.5:
g[1130]:=26.2:
g[1131]:=25.3:
g[1132]:=23.6:
g[1133]:=21.8:
g[1134]:=20.1:
g[1135]:=18.3:
g[1136]:=16.2:
g[1137]:=14.2:
g[1138]:=12.2:
g[1139]:=10.4:
g[1140]:=9.69:
g[1141]:=11.8:
g[1142]:=16.8:
g[1143]:=22.6:
g[1144]:=26.6:
g[1145]:=28.9:
g[1146]:=31.7:
g[1147]:=36.9:
g[1148]:=42.1:
g[1149]:=43.1:
g[1150]:=39.1:
g[1151]:=33.1:
g[1152]:=28.2:
g[1153]:=25.1:
g[1154]:=23.2:
g[1155]:=21.6:
g[1156]:=19.7:
g[1157]:=17.2:
g[1158]:=14.4:
g[1159]:=11.6:
g[1160]:=8.78:
g[1161]:=5.39:
g[1162]:=1.33:
g[1163]:=-3.07:
g[1164]:=-7.39:
g[1165]:=-11.5:
g[1166]:=-15.4:
g[1167]:=-19.3:
g[1168]:=-23:
g[1169]:=-26.3:
g[1170]:=-29.3:
g[1171]:=-32.2:
g[1172]:=-35.3:
g[1173]:=-38.4:
g[1174]:=-41.3:
g[1175]:=-43.4:
g[1176]:=-44.5:
g[1177]:=-45.2:
g[1178]:=-46:
g[1179]:=-47.2:
g[1180]:=-48.6:
g[1181]:=-50:
g[1182]:=-51.9:
g[1183]:=-55.2:
g[1184]:=-60:
g[1185]:=-65.4:
g[1186]:=-70.5:
g[1187]:=-75.4:
g[1188]:=-79:
g[1189]:=-76.6:
g[1190]:=-63.1:
g[1191]:=-40.9:
g[1192]:=-18.8:
g[1193]:=-3.43:
g[1194]:=5.83:
g[1195]:=13.5:
g[1196]:=21:
g[1197]:=25.6:
g[1198]:=25.7:
g[1199]:=23.5:
g[1200]:=23:
g[1201]:=26.9:
g[1202]:=34.8:
g[1203]:=43.4:
g[1204]:=50.1:
g[1205]:=52.7:
g[1206]:=50.5:
g[1207]:=45.5:
g[1208]:=40.8:
g[1209]:=37.9:
g[1210]:=36.3:
g[1211]:=34.6:
g[1212]:=32.1:
g[1213]:=30.1:
g[1214]:=30.2:
g[1215]:=32.2:
g[1216]:=34.5:
g[1217]:=35.5:
g[1218]:=35.4:
g[1219]:=34.7:
g[1220]:=34.2:
g[1221]:=34.2:
g[1222]:=34.5:
g[1223]:=35:
g[1224]:=35.3:
g[1225]:=35.5:
g[1226]:=35.3:
g[1227]:=33.3:
g[1228]:=27.3:
g[1229]:=16.6:
g[1230]:=3.76:
g[1231]:=-6.96:
g[1232]:=-11.6:
g[1233]:=-10.4:
g[1234]:=-7.95:
g[1235]:=-9.25:
g[1236]:=-15:
g[1237]:=-20.7:
g[1238]:=-20.6:
g[1239]:=-14:
g[1240]:=-7.43:
g[1241]:=-6.92:
g[1242]:=-12.5:
g[1243]:=-19.9:
g[1244]:=-25.3:
g[1245]:=-26.8:
g[1246]:=-23.8:
g[1247]:=-18.5:
g[1248]:=-13.5:
g[1249]:=-10.3:
g[1250]:=-8.11:
g[1251]:=-6.62:
g[1252]:=-7.15:
g[1253]:=-10.7:
g[1254]:=-15.9:
g[1255]:=-19.8:
g[1256]:=-19.1:
g[1257]:=-14.1:
g[1258]:=-9.55:
g[1259]:=-9.11:
g[1260]:=-12.2:
g[1261]:=-15.1:
g[1262]:=-14.1:
g[1263]:=-8.91:
g[1264]:=-3.03:
g[1265]:=0.303:
g[1266]:=0.874:
g[1267]:=1.01:
g[1268]:=2.88:
g[1269]:=5.53:
g[1270]:=6.35:
g[1271]:=4.72:
g[1272]:=2.02:
g[1273]:=-0.318:
g[1274]:=-1.88:
g[1275]:=-2.72:
g[1276]:=-2.11:
g[1277]:=0.676:
g[1278]:=5.01:
g[1279]:=9.58:
g[1280]:=13.4:
g[1281]:=15.2:
g[1282]:=13.6:
g[1283]:=9.04:
g[1284]:=3.58:
g[1285]:=-1.18:
g[1286]:=-5.5:
g[1287]:=-10.1:
g[1288]:=-14.4:
g[1289]:=-17:
g[1290]:=-17.8:
g[1291]:=-17.7:
g[1292]:=-17.6:
g[1293]:=-17.9:
g[1294]:=-18.1:
g[1295]:=-18.1:
g[1296]:=-17.7:
g[1297]:=-15.7:
g[1298]:=-11.3:
g[1299]:=-6.52:
g[1300]:=-4.72:
g[1301]:=-6.41:
g[1302]:=-9.66:
g[1303]:=-12.7:
g[1304]:=-15:
g[1305]:=-16.7:
g[1306]:=-18.5:
g[1307]:=-20.3:
g[1308]:=-21.6:
g[1309]:=-22:
g[1310]:=-22.5:
g[1311]:=-24.3:
g[1312]:=-27.9:
g[1313]:=-31.5:
g[1314]:=-33.2:
g[1315]:=-33.9:
g[1316]:=-34.4:
g[1317]:=-31.8:
g[1318]:=-22.7:
g[1319]:=-9.62:
g[1320]:=0.983:
g[1321]:=5.6:
g[1322]:=6.39:
g[1323]:=7.26:
g[1324]:=9.96:
g[1325]:=13.9:
g[1326]:=17.6:
g[1327]:=19.6:
g[1328]:=18.9:
g[1329]:=16.1:
g[1330]:=12.7:
g[1331]:=10.1:
g[1332]:=9.03:
g[1333]:=8.12:
g[1334]:=3.93:
g[1335]:=-5.52:
g[1336]:=-15:
g[1337]:=-15.3:
g[1338]:=-3.94:
g[1339]:=12.3:
g[1340]:=23.2:
g[1341]:=22.2:
g[1342]:=11.6:
g[1343]:=-0.593:
g[1344]:=-8.88:
g[1345]:=-13.1:
g[1346]:=-15.5:
g[1347]:=-14.9:
g[1348]:=-7.36:
g[1349]:=6.71:
g[1350]:=22.9:
g[1351]:=35.9:
g[1352]:=39.8:
g[1353]:=31.8:
g[1354]:=16.6:
g[1355]:=3.63:
g[1356]:=-1.67:
g[1357]:=-0.978:
g[1358]:=0.976:
g[1359]:=2.5:
g[1360]:=4.58:
g[1361]:=7.53:
g[1362]:=10.6:
g[1363]:=13.2:
g[1364]:=14.5:
g[1365]:=14.1:
g[1366]:=12.6:
g[1367]:=11.3:
g[1368]:=11:
g[1369]:=11.2:
g[1370]:=10.6:
g[1371]:=8.22:
g[1372]:=4.79:
g[1373]:=2.05:
g[1374]:=1.03:
g[1375]:=0.672:
g[1376]:=-1.12:
g[1377]:=-4.88:
g[1378]:=-9.08:
g[1379]:=-12.1:
g[1380]:=-14.4:
g[1381]:=-18.6:
g[1382]:=-27.5:
g[1383]:=-38.4:
g[1384]:=-42.6:
g[1385]:=-33.9:
g[1386]:=-16.2:
g[1387]:=2.39:
g[1388]:=16.9:
g[1389]:=27.7:
g[1390]:=35.8:
g[1391]:=39.2:
g[1392]:=36.9:
g[1393]:=31.9:
g[1394]:=27.6:
g[1395]:=25:
g[1396]:=23.3:
g[1397]:=20.8:
g[1398]:=17:
g[1399]:=12.2:
g[1400]:=7.4:
g[1401]:=3.33:
g[1402]:=0.377:
g[1403]:=-1.82:
g[1404]:=-4.29:
g[1405]:=-8.44:
g[1406]:=-14.4:
g[1407]:=-17.5:
g[1408]:=-10.9:
g[1409]:=5.05:
g[1410]:=20.2:
g[1411]:=25.8:
g[1412]:=22.7:
g[1413]:=18.4:
g[1414]:=18.4:
g[1415]:=22.3:
g[1416]:=25:
g[1417]:=23.2:
g[1418]:=17.8:
g[1419]:=10.9:
g[1420]:=2.09:
g[1421]:=-9.25:
g[1422]:=-20.6:
g[1423]:=-28.6:
g[1424]:=-33.4:
g[1425]:=-37.5:
g[1426]:=-43:
g[1427]:=-50:
g[1428]:=-55.6:
g[1429]:=-55.6:
g[1430]:=-50.1:
g[1431]:=-41.9:
g[1432]:=-32.3:
g[1433]:=-21.2:
g[1434]:=-10.4:
g[1435]:=-2.45:
g[1436]:=3.02:
g[1437]:=7.29:
g[1438]:=9.13:
g[1439]:=6.9:
g[1440]:=1.74:
g[1441]:=-3.81:
g[1442]:=-8.37:
g[1443]:=-12.2:
g[1444]:=-16.1:
g[1445]:=-19.7:
g[1446]:=-19.7:
g[1447]:=-13.5:
g[1448]:=-3.98:
g[1449]:=3.23:
g[1450]:=6.45:
g[1451]:=7.51:
g[1452]:=7.11:
g[1453]:=5.17:
g[1454]:=2.59:
g[1455]:=0.296:
g[1456]:=-0.852:
g[1457]:=0.163:
g[1458]:=3.32:
g[1459]:=7.07:
g[1460]:=9.78:
g[1461]:=11.1:
g[1462]:=12:
g[1463]:=14:
g[1464]:=17.9:
g[1465]:=22.9:
g[1466]:=27.7:
g[1467]:=30.4:
g[1468]:=28.2:
g[1469]:=21.1:
g[1470]:=12.9:
g[1471]:=7.3:
g[1472]:=5.13:
g[1473]:=4.31:
g[1474]:=2.67:
g[1475]:=-0.109:
g[1476]:=-2.8:
g[1477]:=-4.37:
g[1478]:=-4.91:
g[1479]:=-5.19:
g[1480]:=-6.34:
g[1481]:=-9.56:
g[1482]:=-14.3:
g[1483]:=-16.3:
g[1484]:=-10.8:
g[1485]:=1.97:
g[1486]:=17.1:
g[1487]:=28.5:
g[1488]:=30.7:
g[1489]:=23.3:
g[1490]:=12.4:
g[1491]:=3.87:
g[1492]:=-0.282:
g[1493]:=-2.15:
g[1494]:=-4.79:
g[1495]:=-9.52:
g[1496]:=-14.4:
g[1497]:=-15.5:
g[1498]:=-11.4:
g[1499]:=-4.66:
g[1500]:=1.77:
g[1501]:=6.67:
g[1502]:=9.76:
g[1503]:=9.61:
g[1504]:=5.14:
g[1505]:=-2:
g[1506]:=-8.95:
g[1507]:=-14.2:
g[1508]:=-18.1:
g[1509]:=-22.1:
g[1510]:=-26.9:
g[1511]:=-30.2:
g[1512]:=-28.8:
g[1513]:=-22.5:
g[1514]:=-14.3:
g[1515]:=-6.63:
g[1516]:=0.11:
g[1517]:=5.45:
g[1518]:=8.36:
g[1519]:=9.22:
g[1520]:=9.47:
g[1521]:=9.55:
g[1522]:=9.05:
g[1523]:=7.77:
g[1524]:=5.91:
g[1525]:=3.57:
g[1526]:=0.405:
g[1527]:=-3.96:
g[1528]:=-7.94:
g[1529]:=-8.16:
g[1530]:=-3.51:
g[1531]:=3.55:
g[1532]:=10:
g[1533]:=14.8:
g[1534]:=18.2:
g[1535]:=19.6:
g[1536]:=17.8:
g[1537]:=13.4:
g[1538]:=8.53:
g[1539]:=4.64:
g[1540]:=1.6:
g[1541]:=-1.47:
g[1542]:=-4.32:
g[1543]:=-4.66:
g[1544]:=-1.06:
g[1545]:=3.8:
g[1546]:=5.06:
g[1547]:=1.01:
g[1548]:=-5.75:
g[1549]:=-11.8:
g[1550]:=-15.8:
g[1551]:=-18.6:
g[1552]:=-21:
g[1553]:=-22.5:
g[1554]:=-22:
g[1555]:=-19.5:
g[1556]:=-16.6:
g[1557]:=-14.1:
g[1558]:=-12.9:
g[1559]:=-13.8:
g[1560]:=-17:
g[1561]:=-21.3:
g[1562]:=-25.3:
g[1563]:=-28.2:
g[1564]:=-28.4:
g[1565]:=-23.3:
g[1566]:=-13.1:
g[1567]:=-1.27:
g[1568]:=8.52:
g[1569]:=14.9:
g[1570]:=19.1:
g[1571]:=23.3:
g[1572]:=26.3:
g[1573]:=25.4:
g[1574]:=20.1:
g[1575]:=13.4:
g[1576]:=8:
g[1577]:=4.86:
g[1578]:=2.86:
g[1579]:=0.4:
g[1580]:=-2.28:
g[1581]:=-2.62:
g[1582]:=0.997:
g[1583]:=7.17:
g[1584]:=13.5:
g[1585]:=18.7:
g[1586]:=21.4:
g[1587]:=20.4:
g[1588]:=16.3:
g[1589]:=11.5:
g[1590]:=7.6:
g[1591]:=4.87:
g[1592]:=2.4:
g[1593]:=-0.664:
g[1594]:=-4.06:
g[1595]:=-5.98:
g[1596]:=-4.96:
g[1597]:=-1.7:
g[1598]:=1.96:
g[1599]:=4.67:
g[1600]:=6.1:
g[1601]:=7.2:
g[1602]:=9.52:
g[1603]:=13.1:
g[1604]:=15.3:
g[1605]:=13.3:
g[1606]:=7.74:
g[1607]:=1.38:
g[1608]:=-3.76:
g[1609]:=-7.32:
g[1610]:=-10.2:
g[1611]:=-13.5:
g[1612]:=-17.1:
g[1613]:=-20.4:
g[1614]:=-22.9:
g[1615]:=-24.6:
g[1616]:=-24.5:
g[1617]:=-21.4:
g[1618]:=-15.8:
g[1619]:=-9.14:
g[1620]:=-0.631:
g[1621]:=11.1:
g[1622]:=24.5:
g[1623]:=33.6:
g[1624]:=33.3:
g[1625]:=25.4:
g[1626]:=16.1:
g[1627]:=10.2:
g[1628]:=7.52:
g[1629]:=5.7:
g[1630]:=2.46:
g[1631]:=-2.78:
g[1632]:=-9.18:
g[1633]:=-14.7:
g[1634]:=-15.8:
g[1635]:=-11.1:
g[1636]:=-5.08:
g[1637]:=-3.33:
g[1638]:=-7.03:
g[1639]:=-12.7:
g[1640]:=-16.3:
g[1641]:=-15.7:
g[1642]:=-12.2:
g[1643]:=-8.5:
g[1644]:=-6.52:
g[1645]:=-6.53:
g[1646]:=-7.52:
g[1647]:=-8.29:
g[1648]:=-8.05:
g[1649]:=-6.31:
g[1650]:=-2.95:
g[1651]:=1.34:
g[1652]:=5.45:
g[1653]:=8.83:
g[1654]:=11.8:
g[1655]:=14.2:
g[1656]:=14.4:
g[1657]:=11.8:
g[1658]:=7.42:
g[1659]:=3.29:
g[1660]:=0.0889:
g[1661]:=-2.61:
g[1662]:=-5.02:
g[1663]:=-5.42:
g[1664]:=-1.62:
g[1665]:=5.26:
g[1666]:=11.1:
g[1667]:=13.3:
g[1668]:=12.7:
g[1669]:=11.9:
g[1670]:=12.3:
g[1671]:=13:
g[1672]:=12.2:
g[1673]:=10:
g[1674]:=7.97:
g[1675]:=7.13:
g[1676]:=7.23:
g[1677]:=7.44:
g[1678]:=7.24:
g[1679]:=6.24:
g[1680]:=3.76:
g[1681]:=0.545:
g[1682]:=-0.739:
g[1683]:=1.19:
g[1684]:=4.93:
g[1685]:=8.11:
g[1686]:=8.42:
g[1687]:=4.86:
g[1688]:=-1.13:
g[1689]:=-7.36:
g[1690]:=-13:
g[1691]:=-18.4:
g[1692]:=-24.2:
g[1693]:=-30.2:
g[1694]:=-35.2:
g[1695]:=-37.3:
g[1696]:=-36:
g[1697]:=-32.8:
g[1698]:=-29.8:
g[1699]:=-27.1:
g[1700]:=-23.4:
g[1701]:=-17.7:
g[1702]:=-10.9:
g[1703]:=-4.8:
g[1704]:=-0.486:
g[1705]:=2.49:
g[1706]:=5.12:
g[1707]:=7.08:
g[1708]:=7.2:
g[1709]:=5.41:
g[1710]:=2.9:
g[1711]:=0.69:
g[1712]:=-0.997:
g[1713]:=-2.53:
g[1714]:=-4.32:
g[1715]:=-6.47:
g[1716]:=-8.19:
g[1717]:=-7.76:
g[1718]:=-4.49:
g[1719]:=0.354:
g[1720]:=5.03:
g[1721]:=8.76:
g[1722]:=11.9:
g[1723]:=15.1:
g[1724]:=18.8:
g[1725]:=22.8:
g[1726]:=26.4:
g[1727]:=27.9:
g[1728]:=26:
g[1729]:=21.9:
g[1730]:=17.8:
g[1731]:=14.6:
g[1732]:=12.3:
g[1733]:=9.95:
g[1734]:=7.09:
g[1735]:=3.64:
g[1736]:=0.644:
g[1737]:=0.116:
g[1738]:=2.89:
g[1739]:=7.51:
g[1740]:=11.9:
g[1741]:=15.2:
g[1742]:=17.3:
g[1743]:=17.5:
g[1744]:=16.1:
g[1745]:=14.1:
g[1746]:=12.5:
g[1747]:=11.6:
g[1748]:=11.7:
g[1749]:=13.2:
g[1750]:=15.8:
g[1751]:=18.4:
g[1752]:=20.3:
g[1753]:=20.8:
g[1754]:=19.6:
g[1755]:=17.8:
g[1756]:=16.2:
g[1757]:=15.2:
g[1758]:=14.2:
g[1759]:=13:
g[1760]:=11.8:
g[1761]:=10.8:
g[1762]:=9.82:
g[1763]:=8.69:
g[1764]:=7.22:
g[1765]:=5.48:
g[1766]:=3.15:
g[1767]:=-1.93:
g[1768]:=-11.7:
g[1769]:=-23.4:
g[1770]:=-31.6:
g[1771]:=-34.4:
g[1772]:=-34.2:
g[1773]:=-33.2:
g[1774]:=-31.6:
g[1775]:=-29.7:
g[1776]:=-28.6:
g[1777]:=-27.5:
g[1778]:=-23.2:
g[1779]:=-14.7:
g[1780]:=-5.66:
g[1781]:=-0.214:
g[1782]:=1.44:
g[1783]:=1.8:
g[1784]:=2.34:
g[1785]:=2.57:
g[1786]:=1.9:
g[1787]:=0.527:
g[1788]:=-1.1:
g[1789]:=-2.58:
g[1790]:=-3.56:
g[1791]:=-4:
g[1792]:=-4.25:
g[1793]:=-4.75:
g[1794]:=-5.96:
g[1795]:=-7.85:
g[1796]:=-9.16:
g[1797]:=-8.31:
g[1798]:=-5.32:
g[1799]:=-1.64:
g[1800]:=1.56:
g[1801]:=3.83:
g[1802]:=4.27:
g[1803]:=2.04:
g[1804]:=-1.61:
g[1805]:=-4.39:
g[1806]:=-5.52:
g[1807]:=-5.77:
g[1808]:=-5.51:
g[1809]:=-4.08:
g[1810]:=-1.25:
g[1811]:=2.25:
g[1812]:=5.62:
g[1813]:=8.27:
g[1814]:=8.99:
g[1815]:=6.69:
g[1816]:=2.19:
g[1817]:=-2.53:
g[1818]:=-6.2:
g[1819]:=-7.98:
g[1820]:=-6.69:
g[1821]:=-2.35:
g[1822]:=3.14:
g[1823]:=7.94:
g[1824]:=11.6:
g[1825]:=13.8:
g[1826]:=13.4:
g[1827]:=9.98:
g[1828]:=5.29:
g[1829]:=1.55:
g[1830]:=-0.0868:
g[1831]:=0.00431:
g[1832]:=0.572:
g[1833]:=0.572:
g[1834]:=-0.232:
g[1835]:=-1.39:
g[1836]:=-2.37:
g[1837]:=-2.92:
g[1838]:=-3.11:
g[1839]:=-3.25:
g[1840]:=-3.65:
g[1841]:=-4.43:
g[1842]:=-5.43:
g[1843]:=-6.45:
g[1844]:=-7.37:
g[1845]:=-8.16:
g[1846]:=-8.87:
g[1847]:=-9.58:
g[1848]:=-10.3:
g[1849]:=-11.1:
g[1850]:=-11.9:
g[1851]:=-12.7:
g[1852]:=-13.5:
g[1853]:=-14.3:
g[1854]:=-15.1:
g[1855]:=-16.3:
g[1856]:=-17.9:
g[1857]:=-18.9:
g[1858]:=-18:
g[1859]:=-14.8:
g[1860]:=-10.9:
g[1861]:=-7.4:
g[1862]:=-4.71:
g[1863]:=-2.32:
g[1864]:=0.483:
g[1865]:=3.55:
g[1866]:=5.15:
g[1867]:=3.84:
g[1868]:=0.274:
g[1869]:=-3.52:
g[1870]:=-4.86:
g[1871]:=-1.57:
g[1872]:=5.74:
g[1873]:=14.1:
g[1874]:=21.2:
g[1875]:=25.6:
g[1876]:=26.6:
g[1877]:=24.8:
g[1878]:=22.1:
g[1879]:=20:
g[1880]:=17.4:
g[1881]:=12.7:
g[1882]:=6:
g[1883]:=-1.49:
g[1884]:=-8.71:
g[1885]:=-13.9:
g[1886]:=-14.3:
g[1887]:=-9.46:
g[1888]:=-2.23:
g[1889]:=3.53:
g[1890]:=5.56:
g[1891]:=4.44:
g[1892]:=2.72:
g[1893]:=2.65:
g[1894]:=5.18:
g[1895]:=9.71:
g[1896]:=14.7:
g[1897]:=18.8:
g[1898]:=21:
g[1899]:=19.3:
g[1900]:=13.2:
g[1901]:=5.11:
g[1902]:=-1.77:
g[1903]:=-5.24:
g[1904]:=-5.36:
g[1905]:=-4.16:
g[1906]:=-3.65:
g[1907]:=-4.5:
g[1908]:=-6.26:
g[1909]:=-8.29:
g[1910]:=-10.2:
g[1911]:=-11.7:
g[1912]:=-13:
g[1913]:=-14.3:
g[1914]:=-15.5:
g[1915]:=-14.9:
g[1916]:=-10.9:
g[1917]:=-4.21:
g[1918]:=3.13:
g[1919]:=9.38:
g[1920]:=13.2:
g[1921]:=13.8:
g[1922]:=11.9:
g[1923]:=9.86:
g[1924]:=8.93:
g[1925]:=9.37:
g[1926]:=10.7:
g[1927]:=12.3:
g[1928]:=13.3:
g[1929]:=13:
g[1930]:=11:
g[1931]:=7.57:
g[1932]:=3.66:
g[1933]:=-0.376:
g[1934]:=-4.48:
g[1935]:=-8.67:
g[1936]:=-13:
g[1937]:=-16.7:
g[1938]:=-18:
g[1939]:=-15.9:
g[1940]:=-12.1:
g[1941]:=-8.44:
g[1942]:=-5.83:
g[1943]:=-3.77:
g[1944]:=-1.45:
g[1945]:=1.43:
g[1946]:=4.49:
g[1947]:=7.2:
g[1948]:=9.51:
g[1949]:=11.5:
g[1950]:=12.5:
g[1951]:=10.9:
g[1952]:=6.62:
g[1953]:=1.25:
g[1954]:=-3.81:
g[1955]:=-8.15:
g[1956]:=-12.2:
g[1957]:=-16.6:
g[1958]:=-21.2:
g[1959]:=-23.7:
g[1960]:=-21.6:
g[1961]:=-15.3:
g[1962]:=-7.78:
g[1963]:=-1.82:
g[1964]:=1.38:
g[1965]:=2.48:
g[1966]:=3.29:
g[1967]:=5.14:
g[1968]:=8.09:
g[1969]:=11.3:
g[1970]:=13.5:
g[1971]:=14.3:
g[1972]:=14.2:
g[1973]:=14.1:
g[1974]:=14.4:
g[1975]:=15:
g[1976]:=15.8:
g[1977]:=16.7:
g[1978]:=17.9:
g[1979]:=19.3:
g[1980]:=19.8:
g[1981]:=18.7:
g[1982]:=16.8:
g[1983]:=15.4:
g[1984]:=15:
g[1985]:=15.3:
g[1986]:=15:
g[1987]:=13.2:
g[1988]:=9.67:
g[1989]:=5.55:
g[1990]:=2.05:
g[1991]:=-0.361:
g[1992]:=-1.78:
g[1993]:=-1.98:
g[1994]:=-0.827:
g[1995]:=1.05:
g[1996]:=2.82:
g[1997]:=4.17:
g[1998]:=5.33:
g[1999]:=6.16:
g[2000]:=5.45:
g[2001]:=2.19:
g[2002]:=-3:
g[2003]:=-8.72:
g[2004]:=-14.1:
g[2005]:=-19.1:
g[2006]:=-24.1:
g[2007]:=-28:
g[2008]:=-29.8:
g[2009]:=-29.9:
g[2010]:=-29.7:
g[2011]:=-29.7:
g[2012]:=-29.7:
g[2013]:=-28.9:
g[2014]:=-26.9:
g[2015]:=-24:
g[2016]:=-20.7:
g[2017]:=-17.1:
g[2018]:=-12.8:
g[2019]:=-7.65:
g[2020]:=-1.64:
g[2021]:=4.78:
g[2022]:=10.2:
g[2023]:=13.4:
g[2024]:=14.9:
g[2025]:=16:
g[2026]:=17.4:
g[2027]:=18.2:
g[2028]:=18:
g[2029]:=17:
g[2030]:=15.8:
g[2031]:=14.5:
g[2032]:=12.4:
g[2033]:=8.99:
g[2034]:=4.24:
g[2035]:=-1.46:
g[2036]:=-7.48:
g[2037]:=-12.8:
g[2038]:=-16.7:
g[2039]:=-19.7:
g[2040]:=-22.3:
g[2041]:=-23.2:
g[2042]:=-21.1:
g[2043]:=-16.6:
g[2044]:=-11.7:
g[2045]:=-8.02:
g[2046]:=-5.47:
g[2047]:=-3.09:
g[2048]:=-0.144:
g[2049]:=3.57:
g[2050]:=8.09:
g[2051]:=13.1:
g[2052]:=16.8:
g[2053]:=16.2:
g[2054]:=11.2:
g[2055]:=4.51:
g[2056]:=-1.21:
g[2057]:=-5.31:
g[2058]:=-8.7:
g[2059]:=-12.4:
g[2060]:=-16.8:
g[2061]:=-21.4:
g[2062]:=-25.1:
g[2063]:=-26.3:
g[2064]:=-24.5:
g[2065]:=-21.1:
g[2066]:=-17.2:
g[2067]:=-13.2:
g[2068]:=-9.18:
g[2069]:=-5.02:
g[2070]:=-0.518:
g[2071]:=4.33:
g[2072]:=9.39:
g[2073]:=14.4:
g[2074]:=19:
g[2075]:=22.9:
g[2076]:=26.4:
g[2077]:=30:
g[2078]:=33.7:
g[2079]:=36.6:
g[2080]:=36.4:
g[2081]:=32.5:
g[2082]:=26.7:
g[2083]:=21:
g[2084]:=15.5:
g[2085]:=9.04:
g[2086]:=1.15:
g[2087]:=-6.67:
g[2088]:=-12.7:
g[2089]:=-16.9:
g[2090]:=-20.5:
g[2091]:=-24:
g[2092]:=-25.5:
g[2093]:=-23.4:
g[2094]:=-18.5:
g[2095]:=-13.7:
g[2096]:=-11.6:
g[2097]:=-12:
g[2098]:=-13.2:
g[2099]:=-13.5:
g[2100]:=-12.2:
g[2101]:=-8.77:
g[2102]:=-3.64:
g[2103]:=2.02:
g[2104]:=6.96:
g[2105]:=9.61:
g[2106]:=8.68:
g[2107]:=4.89:
g[2108]:=0.589:
g[2109]:=-2.62:
g[2110]:=-4.74:
g[2111]:=-6.67:
g[2112]:=-9.18:
g[2113]:=-12.4:
g[2114]:=-15.7:
g[2115]:=-18.7:
g[2116]:=-21.4:
g[2117]:=-23.4:
g[2118]:=-23.4:
g[2119]:=-20.4:
g[2120]:=-15.5:
g[2121]:=-10.6:
g[2122]:=-6.83:
g[2123]:=-4.14:
g[2124]:=-1.61:
g[2125]:=1.47:
g[2126]:=4.94:
g[2127]:=8:
g[2128]:=10.1:
g[2129]:=11.6:
g[2130]:=13:
g[2131]:=14.6:
g[2132]:=16.4:
g[2133]:=18.4:
g[2134]:=20:
g[2135]:=20.8:
g[2136]:=20:
g[2137]:=17.6:
g[2138]:=14.8:
g[2139]:=12.6:
g[2140]:=11:
g[2141]:=9.63:
g[2142]:=8.22:
g[2143]:=7.1:
g[2144]:=6.51:
g[2145]:=6.27:
g[2146]:=6:
g[2147]:=5.45:
g[2148]:=4.45:
g[2149]:=3.09:
g[2150]:=1.67:
g[2151]:=0.448:
g[2152]:=-0.619:
g[2153]:=-1.7:
g[2154]:=-2.66:
g[2155]:=-2.74:
g[2156]:=-1.4:
g[2157]:=0.923:
g[2158]:=3.33:
g[2159]:=5.33:
g[2160]:=6.99:
g[2161]:=8.65:
g[2162]:=10.6:
g[2163]:=12.7:
g[2164]:=14.5:
g[2165]:=14.9:
g[2166]:=13.8:
g[2167]:=12:
g[2168]:=10.5:
g[2169]:=9.95:
g[2170]:=10.8:
g[2171]:=12.9:
g[2172]:=15.2:
g[2173]:=17.1:
g[2174]:=18.5:
g[2175]:=19.7:
g[2176]:=21:
g[2177]:=22.6:
g[2178]:=24.1:
g[2179]:=24.8:
g[2180]:=23.7:
g[2181]:=21.1:
g[2182]:=17.8:
g[2183]:=13:
g[2184]:=5.12:
g[2185]:=-4.31:
g[2186]:=-11.4:
g[2187]:=-14.8:
g[2188]:=-16.5:
g[2189]:=-18.8:
g[2190]:=-22.4:
g[2191]:=-25.7:
g[2192]:=-26.4:
g[2193]:=-23.9:
g[2194]:=-20.1:
g[2195]:=-16.8:
g[2196]:=-15:
g[2197]:=-14.8:
g[2198]:=-15.3:
g[2199]:=-15.7:
g[2200]:=-15.5:
g[2201]:=-14.8:
g[2202]:=-14:
g[2203]:=-11.7:
g[2204]:=-6.16:
g[2205]:=2.04:
g[2206]:=9.55:
g[2207]:=14.2:
g[2208]:=16.9:
g[2209]:=18.7:
g[2210]:=18.5:
g[2211]:=15.5:
g[2212]:=10.7:
g[2213]:=5.77:
g[2214]:=1.7:
g[2215]:=-1.67:
g[2216]:=-4.9:
g[2217]:=-8.41:
g[2218]:=-12.4:
g[2219]:=-16.5:
g[2220]:=-19.7:
g[2221]:=-20.1:
g[2222]:=-17.6:
g[2223]:=-13.8:
g[2224]:=-10.5:
g[2225]:=-8.31:
g[2226]:=-6.84:
g[2227]:=-5.38:
g[2228]:=-3.43:
g[2229]:=-1.11:
g[2230]:=0.684:
g[2231]:=0.983:
g[2232]:=-0.113:
g[2233]:=-1.63:
g[2234]:=-2.77:
g[2235]:=-3.42:
g[2236]:=-3.87:
g[2237]:=-4.49:
g[2238]:=-5.22:
g[2239]:=-5.46:
g[2240]:=-4.79:
g[2241]:=-3.58:
g[2242]:=-2.45:
g[2243]:=-1.67:
g[2244]:=-1.14:
g[2245]:=-0.586:
g[2246]:=0.166:
g[2247]:=0.939:
g[2248]:=1.24:
g[2249]:=0.823:
g[2250]:=-0.0387:
g[2251]:=-0.682:
g[2252]:=-0.336:
g[2253]:=1.23:
g[2254]:=3.47:
g[2255]:=5.91:
g[2256]:=8.47:
g[2257]:=11.2:
g[2258]:=14:
g[2259]:=16.9:
g[2260]:=19.9:
g[2261]:=22.9:
g[2262]:=25.7:
g[2263]:=25.6:
g[2264]:=19.7:
g[2265]:=9.62:
g[2266]:=0.734:
g[2267]:=-3.73:
g[2268]:=-5.04:
g[2269]:=-6.28:
g[2270]:=-9.2:
g[2271]:=-13.5:
g[2272]:=-18:
g[2273]:=-21.3:
g[2274]:=-22:
g[2275]:=-19.8:
g[2276]:=-16.1:
g[2277]:=-13.1:
g[2278]:=-11.8:
g[2279]:=-12.2:
g[2280]:=-13:
g[2281]:=-13.1:
g[2282]:=-12.6:
g[2283]:=-11.7:
g[2284]:=-10.9:
g[2285]:=-9.96:
g[2286]:=-8.28:
g[2287]:=-5.54:
g[2288]:=-1.87:
g[2289]:=2.35:
g[2290]:=6.66:
g[2291]:=10.7:
g[2292]:=13.8:
g[2293]:=14.9:
g[2294]:=13.6:
g[2295]:=11.6:
g[2296]:=10.3:
g[2297]:=10.2:
g[2298]:=10.6:
g[2299]:=10.7:
g[2300]:=10.2:
g[2301]:=9.59:
g[2302]:=9.51:
g[2303]:=10.3:
g[2304]:=11.7:
g[2305]:=13:
g[2306]:=14.1:
g[2307]:=14.8:
g[2308]:=14.8:
g[2309]:=13.8:
g[2310]:=12.4:
g[2311]:=10.8:
g[2312]:=8.64:
g[2313]:=5.34:
g[2314]:=1.1:
g[2315]:=-3.39:
g[2316]:=-7.3:
g[2317]:=-9.32:
g[2318]:=-8.65:
g[2319]:=-6.31:
g[2320]:=-4.38:
g[2321]:=-4.04:
g[2322]:=-4.85:
g[2323]:=-5.68:
g[2324]:=-5.81:
g[2325]:=-5.28:
g[2326]:=-4.55:
g[2327]:=-4.03:
g[2328]:=-3.83:
g[2329]:=-3.82:
g[2330]:=-3.82:
g[2331]:=-3.49:
g[2332]:=-2.22:
g[2333]:=0.261:
g[2334]:=3.42:
g[2335]:=6.55:
g[2336]:=9.39:
g[2337]:=12.1:
g[2338]:=15:
g[2339]:=17.6:
g[2340]:=18.4:
g[2341]:=16.6:
g[2342]:=13.1:
g[2343]:=9.68:
g[2344]:=7.1:
g[2345]:=5.13:
g[2346]:=3.13:
g[2347]:=0.697:
g[2348]:=-2.17:
g[2349]:=-4.95:
g[2350]:=-6.71:
g[2351]:=-6.98:
g[2352]:=-6.34:
g[2353]:=-5.72:
g[2354]:=-5.58:
g[2355]:=-5.54:
g[2356]:=-4.6:
g[2357]:=-2.17:
g[2358]:=1.25:
g[2359]:=4.74:
g[2360]:=7.84:
g[2361]:=10.4:
g[2362]:=11:
g[2363]:=7.9:
g[2364]:=1.4:
g[2365]:=-5.7:
g[2366]:=-11:
g[2367]:=-13.4:
g[2368]:=-12.5:
g[2369]:=-8.81:
g[2370]:=-4.27:
g[2371]:=-0.529:
g[2372]:=2.18:
g[2373]:=4.64:
g[2374]:=7.01:
g[2375]:=7.88:
g[2376]:=6.09:
g[2377]:=2.45:
g[2378]:=-1.36:
g[2379]:=-4.35:
g[2380]:=-6.54:
g[2381]:=-8.56:
g[2382]:=-11:
g[2383]:=-13.8:
g[2384]:=-17:
g[2385]:=-19.8:
g[2386]:=-20.2:
g[2387]:=-16.7:
g[2388]:=-10.1:
g[2389]:=-3:
g[2390]:=2.98:
g[2391]:=7.87:
g[2392]:=12.6:
g[2393]:=17.1:
g[2394]:=19.1:
g[2395]:=17:
g[2396]:=12.3:
g[2397]:=7.33:
g[2398]:=3.22:
g[2399]:=-0.547:
g[2400]:=-4.8:
g[2401]:=-9.19:
g[2402]:=-11.6:
g[2403]:=-10.3:
g[2404]:=-6.43:
g[2405]:=-2.24:
g[2406]:=0.875:
g[2407]:=3.1:
g[2408]:=5.47:
g[2409]:=8.8:
g[2410]:=13.1:
g[2411]:=17.7:
g[2412]:=22.1:
g[2413]:=26.1:
g[2414]:=29.7:
g[2415]:=31.4:
g[2416]:=29:
g[2417]:=22.1:
g[2418]:=13.3:
g[2419]:=5.17:
g[2420]:=-1.43:
g[2421]:=-7.28:
g[2422]:=-13.5:
g[2423]:=-20.6:
g[2424]:=-28.2:
g[2425]:=-35.1:
g[2426]:=-40.9:
g[2427]:=-44:
g[2428]:=-41.9:
g[2429]:=-33.7:
g[2430]:=-22.7:
g[2431]:=-12.5:
g[2432]:=-4.27:
g[2433]:=2.98:
g[2434]:=10.8:
g[2435]:=19.8:
g[2436]:=29.7:
g[2437]:=39.9:
g[2438]:=47.6:
g[2439]:=48.7:
g[2440]:=42.3:
g[2441]:=32.3:
g[2442]:=23.3:
g[2443]:=16.9:
g[2444]:=11.9:
g[2445]:=6.26:
g[2446]:=-0.827:
g[2447]:=-9.06:
g[2448]:=-16.3:
g[2449]:=-19.1:
g[2450]:=-16.8:
g[2451]:=-11.8:
g[2452]:=-7.47:
g[2453]:=-4.8:
g[2454]:=-3.54:
g[2455]:=-3.91:
g[2456]:=-6.23:
g[2457]:=-9.67:
g[2458]:=-13:
g[2459]:=-15.7:
g[2460]:=-18.1:
g[2461]:=-20.6:
g[2462]:=-22.6:
g[2463]:=-22.8:
g[2464]:=-21.3:
g[2465]:=-19.5:
g[2466]:=-19.2:
g[2467]:=-20.6:
g[2468]:=-22.5:
g[2469]:=-23.9:
g[2470]:=-24.5:
g[2471]:=-24.2:
g[2472]:=-23.2:
g[2473]:=-21.7:
g[2474]:=-19.3:
g[2475]:=-15:
g[2476]:=-8.86:
g[2477]:=-2.22:
g[2478]:=3.44:
g[2479]:=7.17:
g[2480]:=9.29:
g[2481]:=10.7:
g[2482]:=11.8:
g[2483]:=12.7:
g[2484]:=13.3:
g[2485]:=14:
g[2486]:=14.8:
g[2487]:=16.3:
g[2488]:=18.7:
g[2489]:=22.1:
g[2490]:=25.9:
g[2491]:=28.9:
g[2492]:=30.3:
g[2493]:=30.7:
g[2494]:=31.1:
g[2495]:=32.3:
g[2496]:=33.7:
g[2497]:=33.2:
g[2498]:=28.6:
g[2499]:=20.4:
g[2500]:=11.3:
g[2501]:=3.3:
g[2502]:=-3.2:
g[2503]:=-8.27:
g[2504]:=-12.3:
g[2505]:=-15.8:
g[2506]:=-18.2:
g[2507]:=-18:
g[2508]:=-15.4:
g[2509]:=-11.9:
g[2510]:=-8.79:
g[2511]:=-6.43:
g[2512]:=-5.24:
g[2513]:=-6.58:
g[2514]:=-10.9:
g[2515]:=-16.6:
g[2516]:=-21.9:
g[2517]:=-25.7:
g[2518]:=-26.3:
g[2519]:=-22.7:
g[2520]:=-16.5:
g[2521]:=-10.5:
g[2522]:=-6.41:
g[2523]:=-3.9:
g[2524]:=-2.17:
g[2525]:=-0.968:
g[2526]:=-0.214:
g[2527]:=0.428:
g[2528]:=1.79:
g[2529]:=4.9:
g[2530]:=9.59:
g[2531]:=14.2:
g[2532]:=17.3:
g[2533]:=18.4:
g[2534]:=18.5:
g[2535]:=18.8:
g[2536]:=20.1:
g[2537]:=23.1:
g[2538]:=27.7:
g[2539]:=31.9:
g[2540]:=31.4:
g[2541]:=24.2:
g[2542]:=13:
g[2543]:=2.13:
g[2544]:=-6.43:
g[2545]:=-12.7:
g[2546]:=-17.4:
g[2547]:=-21.3:
g[2548]:=-25.4:
g[2549]:=-29:
g[2550]:=-30.1:
g[2551]:=-27.6:
g[2552]:=-23.2:
g[2553]:=-18.9:
g[2554]:=-16:
g[2555]:=-15.6:
g[2556]:=-17.8:
g[2557]:=-21.3:
g[2558]:=-24.5:
g[2559]:=-26.5:
g[2560]:=-27.8:
g[2561]:=-29.1:
g[2562]:=-31:
g[2563]:=-33.2:
g[2564]:=-35.1:
g[2565]:=-36.5:
g[2566]:=-37.3:
g[2567]:=-37.3:
g[2568]:=-36.2:
g[2569]:=-34.6:
g[2570]:=-32:
g[2571]:=-26.3:
g[2572]:=-16.2:
g[2573]:=-3.19:
g[2574]:=9.92:
g[2575]:=21.7:
g[2576]:=32.5:
g[2577]:=43.4:
g[2578]:=52.3:
g[2579]:=53.4:
g[2580]:=44.7:
g[2581]:=31.1:
g[2582]:=18.3:
g[2583]:=8.63:
g[2584]:=0.751:
g[2585]:=-7.64:
g[2586]:=-17:
g[2587]:=-25.9:
g[2588]:=-31.7:
g[2589]:=-31.6:
g[2590]:=-25.8:
g[2591]:=-17.6:
g[2592]:=-10.3:
g[2593]:=-4.94:
g[2594]:=-0.302:
g[2595]:=4.96:
g[2596]:=11.3:
g[2597]:=16.9:
g[2598]:=18:
g[2599]:=13.1:
g[2600]:=5.04:
g[2601]:=-2.46:
g[2602]:=-8.02:
g[2603]:=-12.6:
g[2604]:=-18.5:
g[2605]:=-27.3:
g[2606]:=-36.9:
g[2607]:=-43.3:
g[2608]:=-45.6:
g[2609]:=-45.1:
g[2610]:=-43.1:
g[2611]:=-40.3:
g[2612]:=-37.4:
g[2613]:=-34.7:
g[2614]:=-32:
g[2615]:=-29:
g[2616]:=-25.7:
g[2617]:=-22.5:
g[2618]:=-19.8:
g[2619]:=-16.7:
g[2620]:=-11.8:
g[2621]:=-4.31:
g[2622]:=4.62:
g[2623]:=13.4:
g[2624]:=21.3:
g[2625]:=28.7:
g[2626]:=36.4:
g[2627]:=44.7:
g[2628]:=51.8:
g[2629]:=54.3:
g[2630]:=52.2:
g[2631]:=48.4:
g[2632]:=45.6:
g[2633]:=44:
g[2634]:=42:
g[2635]:=38.4:
g[2636]:=33.3:
g[2637]:=27.6:
g[2638]:=22.8:
g[2639]:=19.9:
g[2640]:=18.9:
g[2641]:=18.7:
g[2642]:=18:
g[2643]:=16.1:
g[2644]:=13.3:
g[2645]:=10.1:
g[2646]:=7.35:
g[2647]:=5.76:
g[2648]:=5.27:
g[2649]:=5.2:
g[2650]:=4.86:
g[2651]:=4.04:
g[2652]:=2.82:
g[2653]:=1.32:
g[2654]:=-0.234:
g[2655]:=-1.68:
g[2656]:=-2.88:
g[2657]:=-3.34:
g[2658]:=-2.57:
g[2659]:=-0.852:
g[2660]:=0.978:
g[2661]:=2.25:
g[2662]:=2.7:
g[2663]:=2.41:
g[2664]:=1.65:
g[2665]:=0.791:
g[2666]:=0.12:
g[2667]:=-0.56:
g[2668]:=-1.88:
g[2669]:=-4.16:
g[2670]:=-7.04:
g[2671]:=-9.93:
g[2672]:=-12.5:
g[2673]:=-14.9:
g[2674]:=-17.1:
g[2675]:=-19.4:
g[2676]:=-21.8:
g[2677]:=-23.6:
g[2678]:=-23.7:
g[2679]:=-21.9:
g[2680]:=-19.3:
g[2681]:=-16.2:
g[2682]:=-12.8:
g[2683]:=-9.28:
g[2684]:=-5.74:
g[2685]:=-2.5:
g[2686]:=-0.17:
g[2687]:=0.914:
g[2688]:=1.14:
g[2689]:=1.26:
g[2690]:=1.7:
g[2691]:=2.43:
g[2692]:=3.44:
g[2693]:=4.83:
g[2694]:=6.6:
g[2695]:=8.29:
g[2696]:=8.6:
g[2697]:=6.21:
g[2698]:=1.58:
g[2699]:=-3.31:
g[2700]:=-6.69:
g[2701]:=-8.31:
g[2702]:=-9.17:
g[2703]:=-9.98:
g[2704]:=-10.6:
g[2705]:=-10.8:
g[2706]:=-10.7:
g[2707]:=-10:
g[2708]:=-8.17:
g[2709]:=-4.77:
g[2710]:=-0.911:
g[2711]:=2.09:
g[2712]:=3.91:
g[2713]:=5.23:
g[2714]:=6.6:
g[2715]:=7.57:
g[2716]:=7.35:
g[2717]:=6:
g[2718]:=4.31:
g[2719]:=2.88:
g[2720]:=1.99:
g[2721]:=2.1:
g[2722]:=3.38:
g[2723]:=5.15:
g[2724]:=6.43:
g[2725]:=6.92:
g[2726]:=7.05:
g[2727]:=7.35:
g[2728]:=8.07:
g[2729]:=8.97:
g[2730]:=9.37:
g[2731]:=8.75:
g[2732]:=7.28:
g[2733]:=5.59:
g[2734]:=4.29:
g[2735]:=4.07:
g[2736]:=5.32:
g[2737]:=7.54:
g[2738]:=9.8:
g[2739]:=11.5:
g[2740]:=12.3:
g[2741]:=12.4:
g[2742]:=12.5:
g[2743]:=13.3:
g[2744]:=15:
g[2745]:=17.1:
g[2746]:=17.9:
g[2747]:=16.4:
g[2748]:=13.5:
g[2749]:=10.7:
g[2750]:=8.14:
g[2751]:=5.58:
g[2752]:=3.07:
g[2753]:=0.877:
g[2754]:=-0.986:
g[2755]:=-2.18:
g[2756]:=-1.8:
g[2757]:=0.248:
g[2758]:=2.65:
g[2759]:=3.98:
g[2760]:=4.07:
g[2761]:=3.79:
g[2762]:=3.93:
g[2763]:=4.66:
g[2764]:=5.66:
g[2765]:=6.7:
g[2766]:=7.9:
g[2767]:=9.48:
g[2768]:=11.4:
g[2769]:=13.3:
g[2770]:=15.2:
g[2771]:=16.8:
g[2772]:=17.7:
g[2773]:=17.3:
g[2774]:=15.8:
g[2775]:=14.2:
g[2776]:=12.8:
g[2777]:=11.7:
g[2778]:=10.4:
g[2779]:=8.81:
g[2780]:=6.99:
g[2781]:=4.74:
g[2782]:=1.75:
g[2783]:=-1.81:
g[2784]:=-5.48:
g[2785]:=-8.86:
g[2786]:=-11.5:
g[2787]:=-13.2:
g[2788]:=-14.4:
g[2789]:=-15.1:
g[2790]:=-14.9:
g[2791]:=-13.8:
g[2792]:=-12.1:
g[2793]:=-9.49:
g[2794]:=-6.13:
g[2795]:=-2.46:
g[2796]:=0.684:
g[2797]:=2.83:
g[2798]:=4.26:
g[2799]:=5.67:
g[2800]:=7.49:
g[2801]:=9.26:
g[2802]:=9.76:
g[2803]:=8.4:
g[2804]:=5.9:
g[2805]:=3.49:
g[2806]:=1.83:
g[2807]:=0.837:
g[2808]:=-0.0665:
g[2809]:=-1.3:
g[2810]:=-3:
g[2811]:=-5.04:
g[2812]:=-7.21:
g[2813]:=-9.32:
g[2814]:=-11.3:
g[2815]:=-12.9:
g[2816]:=-14.2:
g[2817]:=-14.7:
g[2818]:=-14:
g[2819]:=-11.8:
g[2820]:=-8.71:
g[2821]:=-5.43:
g[2822]:=-2.27:
g[2823]:=0.882:
g[2824]:=4.17:
g[2825]:=7.71:
g[2826]:=10.9:
g[2827]:=12.4:
g[2828]:=10.9:
g[2829]:=7.56:
g[2830]:=4.05:
g[2831]:=1.44:
g[2832]:=-0.459:
g[2833]:=-2.37:
g[2834]:=-4.74:
g[2835]:=-7.64:
g[2836]:=-10.7:
g[2837]:=-12.6:
g[2838]:=-12:
g[2839]:=-9.23:
g[2840]:=-5.97:
g[2841]:=-3.87:
g[2842]:=-3.21:
g[2843]:=-3.11:
g[2844]:=-2.66:
g[2845]:=-1.56:
g[2846]:=-0.297:
g[2847]:=0.515:
g[2848]:=0.75:
g[2849]:=0.699:
g[2850]:=0.726:
g[2851]:=0.957:
g[2852]:=1.31:
g[2853]:=1.88:
g[2854]:=2.81:
g[2855]:=4.01:
g[2856]:=5.32:
g[2857]:=6.39:
g[2858]:=6.59:
g[2859]:=5.54:
g[2860]:=3.61:
g[2861]:=1.63:
g[2862]:=0.0252:
g[2863]:=-0.877:
g[2864]:=-0.39:
g[2865]:=1.66:
g[2866]:=4.46:
g[2867]:=7.01:
g[2868]:=9:
g[2869]:=10.7:
g[2870]:=12.6:
g[2871]:=14.5:
g[2872]:=15.1:
g[2873]:=13.6:
g[2874]:=10.8:
g[2875]:=7.91:
g[2876]:=5.63:
g[2877]:=3.77:
g[2878]:=1.64:
g[2879]:=-1.24:
g[2880]:=-4.72:
g[2881]:=-8.31:
g[2882]:=-11.5:
g[2883]:=-13.9:
g[2884]:=-15.5:
g[2885]:=-16.3:
g[2886]:=-16.4:
g[2887]:=-15.9:
g[2888]:=-15.3:
g[2889]:=-14.7:
g[2890]:=-13.8:
g[2891]:=-11.9:
g[2892]:=-9.13:
g[2893]:=-6.39:
g[2894]:=-4.59:
g[2895]:=-3.84:
g[2896]:=-3.47:
g[2897]:=-2.74:
g[2898]:=-1.35:
g[2899]:=0.393:
g[2900]:=2.07:
g[2901]:=3.5:
g[2902]:=4.62:
g[2903]:=5.25:
g[2904]:=5.23:
g[2905]:=4.75:
g[2906]:=4.25:
g[2907]:=3.94:
g[2908]:=3.79:
g[2909]:=3.64:
g[2910]:=3.46:
g[2911]:=3.63:
g[2912]:=4.56:
g[2913]:=6.1:
g[2914]:=7.74:
g[2915]:=9.16:
g[2916]:=10.4:
g[2917]:=11.5:
g[2918]:=12.8:
g[2919]:=14.1:
g[2920]:=14.6:
g[2921]:=13.9:
g[2922]:=12.4:
g[2923]:=10.8:
g[2924]:=9.05:
g[2925]:=6.23:
g[2926]:=2:
g[2927]:=-2.3:
g[2928]:=-5.1:
g[2929]:=-6.34:
g[2930]:=-7.14:
g[2931]:=-8.37:
g[2932]:=-9.69:
g[2933]:=-10.1:
g[2934]:=-9.28:
g[2935]:=-7.77:
g[2936]:=-6.34:
g[2937]:=-5.24:
g[2938]:=-4.54:
g[2939]:=-4.56:
g[2940]:=-5.42:
g[2941]:=-6.74:
g[2942]:=-8:
g[2943]:=-9.01:
g[2944]:=-9.56:
g[2945]:=-9.08:
g[2946]:=-7.25:
g[2947]:=-4.67:
g[2948]:=-2.16:
g[2949]:=-0.0847:
g[2950]:=1.74:
g[2951]:=3.37:
g[2952]:=4.18:
g[2953]:=3.59:
g[2954]:=1.96:
g[2955]:=0.226:
g[2956]:=-1.1:
g[2957]:=-2.11:
g[2958]:=-3.11:
g[2959]:=-4.03:
g[2960]:=-4.27:
g[2961]:=-3.53:
g[2962]:=-2.2:
g[2963]:=-0.888:
g[2964]:=0.123:
g[2965]:=0.95:
g[2966]:=1.82:
g[2967]:=2.82:
g[2968]:=3.71:
g[2969]:=4.18:
g[2970]:=4.25:
g[2971]:=4.19:
g[2972]:=4.22:
g[2973]:=4.38:
g[2974]:=4.74:
g[2975]:=5.36:
g[2976]:=6.19:
g[2977]:=7.09:
g[2978]:=7.76:
g[2979]:=7.49:
g[2980]:=5.83:
g[2981]:=3.2:
g[2982]:=0.651:
g[2983]:=-1.11:
g[2984]:=-2.09:
g[2985]:=-2.84:
g[2986]:=-3.88:
g[2987]:=-5.33:
g[2988]:=-6.95:
g[2989]:=-8.17:
g[2990]:=-8.43:
g[2991]:=-7.71:
g[2992]:=-6.65:
g[2993]:=-5.8:
g[2994]:=-5.29:
g[2995]:=-4.9:
g[2996]:=-4.5:
g[2997]:=-4.26:
g[2998]:=-4.47:
g[2999]:=-5.09:
g[3000]:=-5.81:
g[3001]:=-6.21:
g[3002]:=-6.02:
g[3003]:=-5.36:
g[3004]:=-4.66:
g[3005]:=-4.17:
g[3006]:=-3.86:
g[3007]:=-3.57:
g[3008]:=-2.99:
g[3009]:=-1.73:
g[3010]:=0.0736:
g[3011]:=1.68:
g[3012]:=2.54:
g[3013]:=2.8:
g[3014]:=3.02:
g[3015]:=3.82:
g[3016]:=5.71:
g[3017]:=8.6:
g[3018]:=11.8:
g[3019]:=14.6:
g[3020]:=16.8:
g[3021]:=18.4:
g[3022]:=19.8:
g[3023]:=20.6:
g[3024]:=20.1:
g[3025]:=18.3:
g[3026]:=16:
g[3027]:=14.1:
g[3028]:=12.2:
g[3029]:=9.74:
g[3030]:=6.47:
g[3031]:=2.72:
g[3032]:=-0.877:
g[3033]:=-3.63:
g[3034]:=-5.19:
g[3035]:=-5.72:
g[3036]:=-5.76:
g[3037]:=-5.86:
g[3038]:=-6.27:
g[3039]:=-6.84:
g[3040]:=-7.43:
g[3041]:=-8.21:
g[3042]:=-9.38:
g[3043]:=-10.8:
g[3044]:=-12.3:
g[3045]:=-13.5:
g[3046]:=-13.7:
g[3047]:=-12.5:
g[3048]:=-10.6:
g[3049]:=-8.57:
g[3050]:=-6.81:
g[3051]:=-5:
g[3052]:=-2.85:
g[3053]:=-0.376:
g[3054]:=2.34:
g[3055]:=5.07:
g[3056]:=7.22:
g[3057]:=8.44:
g[3058]:=9.12:
g[3059]:=9.87:
g[3060]:=10.9:
g[3061]:=11.9:
g[3062]:=12.1:
g[3063]:=11.2:
g[3064]:=9.72:
g[3065]:=8.3:
g[3066]:=7.23:
g[3067]:=6.36:
g[3068]:=5.61:
g[3069]:=5.16:
g[3070]:=5.19:
g[3071]:=5.49:
g[3072]:=5.73:
g[3073]:=5.49:
g[3074]:=4.53:
g[3075]:=3.05:
g[3076]:=1.54:
g[3077]:=0.286:
g[3078]:=-0.755:
g[3079]:=-1.65:
g[3080]:=-2.19:
g[3081]:=-2.21:
g[3082]:=-1.9:
g[3083]:=-1.61:
g[3084]:=-1.46:
g[3085]:=-1.49:
g[3086]:=-1.85:
g[3087]:=-2.77:
g[3088]:=-4.1:
g[3089]:=-5.5:
g[3090]:=-6.72:
g[3091]:=-7.77:
g[3092]:=-8.82:
g[3093]:=-9.99:
g[3094]:=-11.2:
g[3095]:=-12.2:
g[3096]:=-12.2:
g[3097]:=-11.2:
g[3098]:=-9.95:
g[3099]:=-8.84:
g[3100]:=-8.06:
g[3101]:=-7.4:
g[3102]:=-6.69:
g[3103]:=-6.23:
g[3104]:=-6.52:
g[3105]:=-7.52:
g[3106]:=-8.76:
g[3107]:=-9.82:
g[3108]:=-10.7:
g[3109]:=-11.4:
g[3110]:=-11.6:
g[3111]:=-10.8:
g[3112]:=-8.76:
g[3113]:=-6.24:
g[3114]:=-3.83:
g[3115]:=-1.58:
g[3116]:=0.731:
g[3117]:=3.26:
g[3118]:=5.99:
g[3119]:=8.82:
g[3120]:=11.7:
g[3121]:=14.1:
g[3122]:=14.8:
g[3123]:=13.3:
g[3124]:=10.5:
g[3125]:=7.71:
g[3126]:=5.66:
g[3127]:=4.09:
g[3128]:=2.44:
g[3129]:=0.646:
g[3130]:=-0.424:
g[3131]:=0.00649:
g[3132]:=1.61:
g[3133]:=3.44:
g[3134]:=4.78:
g[3135]:=5.42:
g[3136]:=5.48:
g[3137]:=5.4:
g[3138]:=5.52:
g[3139]:=5.77:
g[3140]:=5.79:
g[3141]:=5.41:
g[3142]:=4.81:
g[3143]:=4.17:
g[3144]:=3.53:
g[3145]:=2.75:
g[3146]:=1.77:
g[3147]:=0.68:
g[3148]:=-0.415:
g[3149]:=-1.46:
g[3150]:=-2.49:
g[3151]:=-3.59:
g[3152]:=-4.94:
g[3153]:=-6.56:
g[3154]:=-8.3:
g[3155]:=-10:
g[3156]:=-11.6:
g[3157]:=-12.8:
g[3158]:=-13.3:
g[3159]:=-13:
g[3160]:=-12.3:
g[3161]:=-11.1:
g[3162]:=-8.96:
g[3163]:=-6.21:
g[3164]:=-3.34:
g[3165]:=-0.899:
g[3166]:=0.542:
g[3167]:=0.92:
g[3168]:=0.865:
g[3169]:=1.03:
g[3170]:=1.6:
g[3171]:=2.4:
g[3172]:=3.27:
g[3173]:=4.16:
g[3174]:=5.01:
g[3175]:=5.84:
g[3176]:=6.57:
g[3177]:=6.78:
g[3178]:=6.08:
g[3179]:=4.67:
g[3180]:=3.11:
g[3181]:=1.81:
g[3182]:=0.904:
g[3183]:=0.51:
g[3184]:=0.584:
g[3185]:=0.818:
g[3186]:=0.916:
g[3187]:=0.758:
g[3188]:=0.296:
g[3189]:=-0.424:
g[3190]:=-1.22:
g[3191]:=-1.9:
g[3192]:=-2.41:
g[3193]:=-2.7:
g[3194]:=-2.85:
g[3195]:=-2.95:
g[3196]:=-3.13:
g[3197]:=-3.47:
g[3198]:=-3.96:
g[3199]:=-4.54:
g[3200]:=-5.11:
g[3201]:=-5.62:
g[3202]:=-6.09:
g[3203]:=-6.57:
g[3204]:=-7.1:
g[3205]:=-7.87:
g[3206]:=-8.99:
g[3207]:=-10.4:
g[3208]:=-11.8:
g[3209]:=-12.6:
g[3210]:=-12.1:
g[3211]:=-10.7:
g[3212]:=-9.04:
g[3213]:=-7.13:
g[3214]:=-4.86:
g[3215]:=-2.3:
g[3216]:=-0.00445:
g[3217]:=1.3:
g[3218]:=1.51:
g[3219]:=1.28:
g[3220]:=1.27:
g[3221]:=1.71:
g[3222]:=2.47:
g[3223]:=3.32:
g[3224]:=4.01:
g[3225]:=4.18:
g[3226]:=3.56:
g[3227]:=2.32:
g[3228]:=0.981:
g[3229]:=-0.106:
g[3230]:=-0.962:
g[3231]:=-1.81:
g[3232]:=-2.85:
g[3233]:=-4.1:
g[3234]:=-5.46:
g[3235]:=-6.79:
g[3236]:=-7.8:
g[3237]:=-7.9:
g[3238]:=-6.72:
g[3239]:=-4.74:
g[3240]:=-2.77:
g[3241]:=-1.3:
g[3242]:=-0.409:
g[3243]:=0.142:
g[3244]:=0.746:
g[3245]:=1.59:
g[3246]:=2.61:
g[3247]:=3.63:
g[3248]:=4.36:
g[3249]:=4.45:
g[3250]:=3.9:
g[3251]:=3.05:
g[3252]:=2.34:
g[3253]:=1.88:
g[3254]:=1.59:
g[3255]:=1.37:
g[3256]:=1.16:
g[3257]:=0.905:
g[3258]:=0.614:
g[3259]:=0.388:
g[3260]:=0.331:
g[3261]:=0.441:
g[3262]:=0.617:
g[3263]:=0.76:
g[3264]:=0.853:
g[3265]:=0.898:
g[3266]:=0.868:
g[3267]:=0.752:
g[3268]:=0.595:
g[3269]:=0.453:
g[3270]:=0.341:
g[3271]:=0.221:
g[3272]:=-0.0332:
g[3273]:=-0.569:
g[3274]:=-1.38:
g[3275]:=-2.27:
g[3276]:=-3.09:
g[3277]:=-3.81:
g[3278]:=-4.49:
g[3279]:=-5.21:
g[3280]:=-5.81:
g[3281]:=-5.97:
g[3282]:=-5.56:
g[3283]:=-4.84:
g[3284]:=-4.07:
g[3285]:=-3.31:
g[3286]:=-2.51:
g[3287]:=-1.66:
g[3288]:=-0.742:
g[3289]:=0.216:
g[3290]:=1.2:
g[3291]:=2.19:
g[3292]:=3.17:
g[3293]:=3.99:
g[3294]:=4.18:
g[3295]:=3.49:
g[3296]:=2.29:
g[3297]:=1.11:
g[3298]:=0.205:
g[3299]:=-0.446:
g[3300]:=-0.892:
g[3301]:=-1.19:
g[3302]:=-1.47:
g[3303]:=-1.85:
g[3304]:=-2.25:
g[3305]:=-2.47:
g[3306]:=-2.36:
g[3307]:=-2.04:
g[3308]:=-1.67:
g[3309]:=-1.31:
g[3310]:=-0.9:
g[3311]:=-0.441:
g[3312]:=0.0508:
g[3313]:=0.569:
g[3314]:=1.08:
g[3315]:=1.45:
g[3316]:=1.5:
g[3317]:=1.23:
g[3318]:=0.812:
g[3319]:=0.464:
g[3320]:=0.237:
g[3321]:=0.119:
g[3322]:=0.152:
g[3323]:=0.332:
g[3324]:=0.559:
g[3325]:=0.749:
g[3326]:=0.878:
g[3327]:=0.982:
g[3328]:=1.11:
g[3329]:=1.26:
g[3330]:=1.27:
g[3331]:=0.969:
g[3332]:=0.397:
g[3333]:=-0.239:
g[3334]:=-0.802:
g[3335]:=-1.29:
g[3336]:=-1.75:
g[3337]:=-2.22:
g[3338]:=-2.65:
g[3339]:=-2.89:
g[3340]:=-2.83:
g[3341]:=-2.56:
g[3342]:=-2.19:
g[3343]:=-1.62:
g[3344]:=-0.727:
g[3345]:=0.359:
g[3346]:=1.46:
g[3347]:=2.44:
g[3348]:=3.06:
g[3349]:=3.12:
g[3350]:=2.74:
g[3351]:=2.28:
g[3352]:=2.11:
g[3353]:=2.51:
g[3354]:=3.54:
g[3355]:=4.86:
g[3356]:=6.11:
g[3357]:=7.06:
g[3358]:=7.37:
g[3359]:=6.72:
g[3360]:=5.34:
g[3361]:=3.85:
g[3362]:=2.66:
g[3363]:=1.89:
g[3364]:=1.51:
g[3365]:=1.37:
g[3366]:=1.2:
g[3367]:=0.868:
g[3368]:=0.39:
g[3369]:=-0.116:
g[3370]:=-0.541:
g[3371]:=-0.918:
g[3372]:=-1.44:
g[3373]:=-2.28:
g[3374]:=-3.36:
g[3375]:=-4.45:
g[3376]:=-5.17:
g[3377]:=-5.06:
g[3378]:=-4.1:
g[3379]:=-2.8:
g[3380]:=-1.68:
g[3381]:=-0.851:
g[3382]:=-0.174:
g[3383]:=0.422:
g[3384]:=0.833:
g[3385]:=1.02:
g[3386]:=1.09:
g[3387]:=1.16:
g[3388]:=1.28:
g[3389]:=1.41:
g[3390]:=1.51:
g[3391]:=1.61:
g[3392]:=1.9:
g[3393]:=2.64:
g[3394]:=3.71:
g[3395]:=4.62:
g[3396]:=4.88:
g[3397]:=4.51:
g[3398]:=3.92:
g[3399]:=3.52:
g[3400]:=3.37:
g[3401]:=3.35:
g[3402]:=3.27:
g[3403]:=3.06:
g[3404]:=2.9:
g[3405]:=3.1:
g[3406]:=3.72:
g[3407]:=4.54:
g[3408]:=5.29:
g[3409]:=5.9:
g[3410]:=6.29:
g[3411]:=6.3:
g[3412]:=5.88:
g[3413]:=5.28:
g[3414]:=4.75:
g[3415]:=4.39:
g[3416]:=4.15:
g[3417]:=4.02:
g[3418]:=3.92:
g[3419]:=3.77:
g[3420]:=3.57:
g[3421]:=3.37:
g[3422]:=3.17:
g[3423]:=2.92:
g[3424]:=2.34:
g[3425]:=1.25:
g[3426]:=-0.12:
g[3427]:=-1.45:
g[3428]:=-2.63:
g[3429]:=-3.67:
g[3430]:=-4.6:
g[3431]:=-5.45:
g[3432]:=-6.28:
g[3433]:=-7.15:
g[3434]:=-7.98:
g[3435]:=-8.36:
g[3436]:=-8:
g[3437]:=-7.07:
g[3438]:=-6.07:
g[3439]:=-5.29:
g[3440]:=-4.71:
g[3441]:=-4.14:
g[3442]:=-3.46:
g[3443]:=-2.59:
g[3444]:=-1.46:
g[3445]:=-0.0572:
g[3446]:=1.46:
g[3447]:=2.87:
g[3448]:=3.82:
g[3449]:=4.2:
g[3450]:=4.26:
g[3451]:=4.36:
g[3452]:=4.65:
g[3453]:=5.11:
g[3454]:=5.76:
g[3455]:=6.64:
g[3456]:=7.69:
g[3457]:=8.77:
g[3458]:=9.78:
g[3459]:=10.6:
g[3460]:=10.8:
g[3461]:=10.1:
g[3462]:=8.77:
g[3463]:=7.47:
g[3464]:=6.44:
g[3465]:=5.63:
g[3466]:=4.81:
g[3467]:=3.8:
g[3468]:=2.62:
g[3469]:=1.37:
g[3470]:=0.143:
g[3471]:=-1.01:
g[3472]:=-2.07:
g[3473]:=-3.01:
g[3474]:=-3.85:
g[3475]:=-4.67:
g[3476]:=-5.53:
g[3477]:=-6.43:
g[3478]:=-7.35:
g[3479]:=-8.25:
g[3480]:=-9.13:
g[3481]:=-9.98:
g[3482]:=-10.7:
g[3483]:=-10.9:
g[3484]:=-10.7:
g[3485]:=-10.3:
g[3486]:=-9.61:
g[3487]:=-8.7:
g[3488]:=-7.66:
g[3489]:=-6.63:
g[3490]:=-5.64:
g[3491]:=-4.64:
g[3492]:=-3.41:
g[3493]:=-1.7:
g[3494]:=0.453:
g[3495]:=2.75:
g[3496]:=4.92:
g[3497]:=6.68:
g[3498]:=7.86:
g[3499]:=8.62:
g[3500]:=9.23:
g[3501]:=9.65:
g[3502]:=9.74:
g[3503]:=9.56:
g[3504]:=9.3:
g[3505]:=9.06:
g[3506]:=8.74:
g[3507]:=8.14:
g[3508]:=7.22:
g[3509]:=6.15:
g[3510]:=5.13:
g[3511]:=4.19:
g[3512]:=3.24:
g[3513]:=2.11:
g[3514]:=0.785:
g[3515]:=-0.594:
g[3516]:=-1.84:
g[3517]:=-2.87:
g[3518]:=-3.68:
g[3519]:=-4.2:
g[3520]:=-4.37:
g[3521]:=-4.3:
g[3522]:=-4.22:
g[3523]:=-4.24:
g[3524]:=-4.32:
g[3525]:=-4.39:
g[3526]:=-4.52:
g[3527]:=-4.86:
g[3528]:=-5.41:
g[3529]:=-5.85:
g[3530]:=-5.79:
g[3531]:=-5.2:
g[3532]:=-4.46:
g[3533]:=-3.85:
g[3534]:=-3.35:
g[3535]:=-2.72:
g[3536]:=-1.82:
g[3537]:=-0.748:
g[3538]:=0.349:
g[3539]:=1.39:
g[3540]:=2.37:
g[3541]:=3.33:
g[3542]:=4.32:
g[3543]:=5.36:
g[3544]:=6.44:
g[3545]:=7.38:
g[3546]:=7.68:
g[3547]:=7.03:
g[3548]:=5.73:
g[3549]:=4.42:
g[3550]:=3.39:
g[3551]:=2.58:
g[3552]:=1.85:
g[3553]:=1.3:
g[3554]:=1.13:
g[3555]:=1.23:
g[3556]:=1.39:
g[3557]:=1.46:
g[3558]:=1.44:
g[3559]:=1.42:
g[3560]:=1.47:
g[3561]:=1.48:
g[3562]:=1.32:
g[3563]:=0.974:
g[3564]:=0.571:
g[3565]:=0.317:
g[3566]:=0.263:
g[3567]:=0.314:
g[3568]:=0.346:
g[3569]:=0.304:
g[3570]:=0.215:
g[3571]:=0.135:
g[3572]:=0.0883:
g[3573]:=0.08:
g[3574]:=0.0506:
g[3575]:=-0.208:
g[3576]:=-0.868:
g[3577]:=-1.84:
g[3578]:=-2.88:
g[3579]:=-3.81:
g[3580]:=-4.58:
g[3581]:=-4.98:
g[3582]:=-4.66:
g[3583]:=-3.7:
g[3584]:=-2.57:
g[3585]:=-1.61:
g[3586]:=-0.885:
g[3587]:=-0.232:
g[3588]:=0.53:
g[3589]:=1.44:
g[3590]:=2.41:
g[3591]:=3.22:
g[3592]:=3.6:
g[3593]:=3.54:
g[3594]:=3.32:
g[3595]:=3.21:
g[3596]:=3.24:
g[3597]:=3.33:
g[3598]:=3.38:
g[3599]:=3.36:
g[3600]:=3.21:
g[3601]:=2.94:
g[3602]:=2.28:
g[3603]:=1.51:
g[3604]:=0.789:
g[3605]:=0.152:
g[3606]:=-0.45:
g[3607]:=-1.05:
g[3608]:=-1.55:
g[3609]:=-1.76:
g[3610]:=-1.65:
g[3611]:=-1.43:
g[3612]:=-1.28:
g[3613]:=-1.22:
g[3614]:=-1.23:
g[3615]:=-1.31:
g[3616]:=-1.52:
g[3617]:=-1.85:
g[3618]:=-2.21:
g[3619]:=-2.52:
g[3620]:=-2.8:
g[3621]:=-3.08:
g[3622]:=-3.39:
g[3623]:=-3.68:
g[3624]:=-3.78:
g[3625]:=-3.62:
g[3626]:=-3.34:
g[3627]:=-3.06:
g[3628]:=-2.85:
g[3629]:=-2.7:
g[3630]:=-2.59:
g[3631]:=-2.59:
g[3632]:=-2.77:
g[3633]:=-3.08:
g[3634]:=-3.39:
g[3635]:=-3.66:
g[3636]:=-3.92:
g[3637]:=-4.17:
g[3638]:=-4.33:
g[3639]:=-4.25:
g[3640]:=-3.87:
g[3641]:=-3.37:
g[3642]:=-2.9:
g[3643]:=-2.52:
g[3644]:=-2.21:
g[3645]:=-2.02:
g[3646]:=-2.11:
g[3647]:=-2.49:
g[3648]:=-2.95:
g[3649]:=-3.33:
g[3650]:=-3.63:
g[3651]:=-3.9:
g[3652]:=-4.21:
g[3653]:=-4.59:
g[3654]:=-4.9:
g[3655]:=-4.88:
g[3656]:=-4.38:
g[3657]:=-3.56:
g[3658]:=-2.76:
g[3659]:=-2.12:
g[3660]:=-1.6:
g[3661]:=-1.1:
g[3662]:=-0.541:
g[3663]:=0.0895:
g[3664]:=0.727:
g[3665]:=1.27:
g[3666]:=1.69:
g[3667]:=2.04:
g[3668]:=2.39:
g[3669]:=2.78:
g[3670]:=3.21:
g[3671]:=3.67:
g[3672]:=4.22:
g[3673]:=4.9:
g[3674]:=5.65:
g[3675]:=6.39:
g[3676]:=7.07:
g[3677]:=7.72:
g[3678]:=8.29:
g[3679]:=8.76:
g[3680]:=9.14:
g[3681]:=9.41:
g[3682]:=9.55:
g[3683]:=9.6:
g[3684]:=9.64:
g[3685]:=9.7:
g[3686]:=9.76:
g[3687]:=9.74:
g[3688]:=9.56:
g[3689]:=9.24:
g[3690]:=8.9:
g[3691]:=8.6:
g[3692]:=8.36:
g[3693]:=8.14:
g[3694]:=7.89:
g[3695]:=7.56:
g[3696]:=6.99:
g[3697]:=6.15:
g[3698]:=5.18:
g[3699]:=4.25:
g[3700]:=3.44:
g[3701]:=2.81:
g[3702]:=2.48:
g[3703]:=2.38:
g[3704]:=2.36:
g[3705]:=2.26:
g[3706]:=2.07:
g[3707]:=1.86:
g[3708]:=1.66:
g[3709]:=1.41:
g[3710]:=1.12:
g[3711]:=0.802:
g[3712]:=0.491:
g[3713]:=0.198:
g[3714]:=-0.0871:
g[3715]:=-0.374:
g[3716]:=-0.7:
g[3717]:=-1.15:
g[3718]:=-1.75:
g[3719]:=-2.37:
g[3720]:=-2.78:
g[3721]:=-2.88:
g[3722]:=-2.83:
g[3723]:=-2.79:
g[3724]:=-2.81:
g[3725]:=-2.85:
g[3726]:=-2.84:
g[3727]:=-2.79:
g[3728]:=-2.71:
g[3729]:=-2.62:
g[3730]:=-2.56:
g[3731]:=-2.5:
g[3732]:=-2.46:
g[3733]:=-2.4:
g[3734]:=-2.36:
g[3735]:=-2.39:
g[3736]:=-2.56:
g[3737]:=-2.84:
g[3738]:=-3.13:
g[3739]:=-3.39:
g[3740]:=-3.64:
g[3741]:=-3.91:
g[3742]:=-4.22:
g[3743]:=-4.54:
g[3744]:=-4.87:
g[3745]:=-5.18:
g[3746]:=-5.47:
g[3747]:=-5.75:
g[3748]:=-5.97:
g[3749]:=-6.03:
g[3750]:=-5.87:
g[3751]:=-5.59:
g[3752]:=-5.34:
g[3753]:=-5.15:
g[3754]:=-5.01:
g[3755]:=-4.87:
g[3756]:=-4.65:
g[3757]:=-4.29:
g[3758]:=-3.73:
g[3759]:=-3.06:
g[3760]:=-2.42:
g[3761]:=-1.87:
g[3762]:=-1.44:
g[3763]:=-1.09:
g[3764]:=-0.829:
g[3765]:=-0.735:
g[3766]:=-0.842:
g[3767]:=-1.04:
g[3768]:=-1.21:
g[3769]:=-1.32:
g[3770]:=-1.41:
g[3771]:=-1.51:
g[3772]:=-1.64:
g[3773]:=-1.8:
g[3774]:=-1.98:
g[3775]:=-2.2:
g[3776]:=-2.44:
g[3777]:=-2.7:
g[3778]:=-2.93:
g[3779]:=-3.15:
g[3780]:=-3.35:
g[3781]:=-3.49:
g[3782]:=-3.45:
g[3783]:=-3.22:
g[3784]:=-2.9:
g[3785]:=-2.63:
g[3786]:=-2.49:
g[3787]:=-2.49:
g[3788]:=-2.55:
g[3789]:=-2.58:
g[3790]:=-2.56:
g[3791]:=-2.5:
g[3792]:=-2.45:
g[3793]:=-2.43:
g[3794]:=-2.4:
g[3795]:=-2.27:
g[3796]:=-1.97:
g[3797]:=-1.56:
g[3798]:=-1.15:
g[3799]:=-0.8:
g[3800]:=-0.503:
g[3801]:=-0.219:
g[3802]:=0.0442:
g[3803]:=0.247:
g[3804]:=0.391:
g[3805]:=0.511:
g[3806]:=0.633:
g[3807]:=0.766:
g[3808]:=0.895:
g[3809]:=0.946:
g[3810]:=0.829:
g[3811]:=0.549:
g[3812]:=0.221:
g[3813]:=-0.0637:
g[3814]:=-0.29:
g[3815]:=-0.483:
g[3816]:=-0.683:
g[3817]:=-0.909:
g[3818]:=-1.15:
g[3819]:=-1.38:
g[3820]:=-1.56:
g[3821]:=-1.57:
g[3822]:=-1.3:
g[3823]:=-0.819:
g[3824]:=-0.319:
g[3825]:=0.0849:
g[3826]:=0.401:
g[3827]:=0.697:
g[3828]:=1.02:
g[3829]:=1.38:
g[3830]:=1.75:
g[3831]:=2.06:
g[3832]:=2.15:
g[3833]:=1.96:
g[3834]:=1.6:
g[3835]:=1.24:
g[3836]:=0.977:
g[3837]:=0.791:
g[3838]:=0.632:
g[3839]:=0.506:
g[3840]:=0.433:
g[3841]:=0.404:
g[3842]:=0.384:
g[3843]:=0.344:
g[3844]:=0.295:
g[3845]:=0.254:
g[3846]:=0.219:
g[3847]:=0.172:
g[3848]:=0.0858:
g[3849]:=-0.0396:
g[3850]:=-0.172:
g[3851]:=-0.286:
g[3852]:=-0.384:
g[3853]:=-0.468:
g[3854]:=-0.55:
g[3855]:=-0.637:
g[3856]:=-0.716:
g[3857]:=-0.77:
g[3858]:=-0.767:
g[3859]:=-0.703:
g[3860]:=-0.619:
g[3861]:=-0.547:
g[3862]:=-0.495:
g[3863]:=-0.452:
g[3864]:=-0.403:
g[3865]:=-0.346:
g[3866]:=-0.286:
g[3867]:=-0.201:
g[3868]:=-0.0211:
g[3869]:=0.297:
g[3870]:=0.7:
g[3871]:=1.09:
g[3872]:=1.4:
g[3873]:=1.59:
g[3874]:=1.67:
g[3875]:=1.68:
g[3876]:=1.7:
g[3877]:=1.76:
g[3878]:=1.86:
g[3879]:=1.97:
g[3880]:=2.11:
g[3881]:=2.25:
g[3882]:=2.34:
g[3883]:=2.33:
g[3884]:=2.22:
g[3885]:=2.06:
g[3886]:=1.91:
g[3887]:=1.8:
g[3888]:=1.72:
g[3889]:=1.64:
g[3890]:=1.54:
g[3891]:=1.42:
g[3892]:=1.31:
g[3893]:=1.2:
g[3894]:=1.11:
g[3895]:=1.03:
g[3896]:=0.975:
g[3897]:=0.926:
g[3898]:=0.876:
g[3899]:=0.821:
g[3900]:=0.766:
g[3901]:=0.715:
g[3902]:=0.669:
g[3903]:=0.627:
g[3904]:=0.574:
g[3905]:=0.485:
g[3906]:=0.351:
g[3907]:=0.199:
g[3908]:=0.0605:
g[3909]:=-0.0463:
g[3910]:=-0.102:
g[3911]:=-0.101:
g[3912]:=-0.0694:
g[3913]:=-0.0418:
g[3914]:=-0.0331:
g[3915]:=-0.037:
g[3916]:=-0.0397:
g[3917]:=-0.0322:
g[3918]:=-0.0182:
g[3919]:=-0.0132:
g[3920]:=-0.0307:
g[3921]:=-0.0675:
g[3922]:=-0.107:
g[3923]:=-0.138:
g[3924]:=-0.159:
g[3925]:=-0.174:
g[3926]:=-0.19:
g[3927]:=-0.203:
g[3928]:=-0.201:
g[3929]:=-0.179:
g[3930]:=-0.144:
g[3931]:=-0.109:
g[3932]:=-0.0788:
g[3933]:=-0.0521:
g[3934]:=-0.0271:
g[3935]:=-0.00317:
g[3936]:=0.0205:
g[3937]:=0.0429:
g[3938]:=0.0622:
g[3939]:=0.0727:
g[3940]:=0.0679:
g[3941]:=0.0504:
g[3942]:=0.0302:
g[3943]:=0.0152:
g[3944]:=0.00669:
g[3945]:=0.00111:
g[3946]:=-0.00471:
g[3947]:=-0.0114:
g[3948]:=-0.018:
g[3949]:=-0.023:
g[3950]:=-0.0255:
g[3951]:=-0.0248:
g[3952]:=-0.0209:
g[3953]:=-0.0154:
g[3954]:=-0.00974:
g[3955]:=-0.00448:
g[3956]:=0.000799:
g[3957]:=0.00647:
g[3958]:=0.0128:
g[3959]:=0.0198:
g[3960]:=0.0263:
g[3961]:=0.0292:
g[3962]:=0.0264:
g[3963]:=0.0209:
g[3964]:=0.0188:
g[3965]:=0.0283:
g[3966]:=0.0532:
g[3967]:=0.0862:
g[3968]:=0.116:
g[3969]:=0.136:
g[3970]:=0.147:
g[3971]:=0.155:
g[3972]:=0.16:
g[3973]:=0.165:
g[3974]:=0.169:
g[3975]:=0.171:
g[3976]:=0.17:
g[3977]:=0.167:
g[3978]:=0.162:
g[3979]:=0.155:
g[3980]:=0.148:
g[3981]:=0.138:
g[3982]:=0.127:
g[3983]:=0.115:
g[3984]:=0.104:
g[3985]:=0.0954:
g[3986]:=0.0876:
g[3987]:=0.0804:
g[3988]:=0.0737:
g[3989]:=0.0678:
g[3990]:=0.0629:
g[3991]:=0.0589:
g[3992]:=0.0555:
g[3993]:=0.0527:
g[3994]:=0.0504:
g[3995]:=0.0484:
g[3996]:=0.0466:
g[3997]:=0.0446:
g[3998]:=0.0423:
g[3999]:=0.0396:
g[4000]:=0.0365:

(1)

>	#Set up parameters xi:=0.05; M:= 1.0; # mass R:= 40; # number of steps delta__t:= 0.01; # Time step b:=2*M;

(2)

>

#
# Set up Arrays for output, and
# insert zeroth entry
#
T:=Array(0..R):
for j from 0 to R do
T[j]:=0.02+(j)*0.5:
end do;
W:=Array(0..R):
for j from 0 to R do
W[j]:=(2*3.14/T[j]):
end do;

K:=Array(0..R):
for j from 0 to R do
K[j]:=M*(W[j])^2:
end do;

c:=Array(0..R):
for j from 0 to R do
c[j]:=(2*xi*(W[j])):
end do;

Khat:=Array(0..R):
for j from 0 to R do
Khat[j]:=K[j]+(c[j]*2/delta__t)+(4*M/(delta__t)^2):
end do;

a:=Array(0..R):
for j from 0 to R do
a[j]:=(4*M/delta__t)+(2*c[j]):
end do;
p:= Array((0..N),0..R):
for i from 0 to N-1 do
for j from 0 to R-1 do
u:= Array(0..N,0..R):
u__dot:= Array(0..N,0..R):
u__doubledot:= Array(0..N,0..R):
u[0,j]:= 0:
u__dot[0,j]:= 0:
p[i,j]:= M*g[i]:
u__doubledot[0,j]:= p[0,j]/M:
      deltaphat[i,j]:= (p[i+1,j]-p[i,j])+(a[j]*u__dot[i,j])+(b*u__doubledot[i,j]):
      deltau[i,j]:= deltaphat[i,j]/Khat[j]:
      deltau__dot[i,j]:= 200*(deltau[i,j])-(2*u__dot[i,j]):
      deltau__doubledot[i,j]:= 40000*deltau[i,j]-400*u__dot[i,j]-(2*u__doubledot[i.j]):
      u[i+1,j]:=u[i,j]+deltau[i,j]:
u__dot[i+1,j]:=u__dot[i,j]+deltau__dot[i,j]:
u__doubledot[i+1,j]:=u__doubledot[i,j]+deltau__doubledot[i,j]:
  end do;
end do;

Error, Array index out of range

>

Download project(1)_cei_300.mwproject(1)_cei_300.mw

Question: How to i convert a complicated equations...

Asked by: atk1018 15

March 29 2017

3 13

Hi everyone, i am using Maple 18 and i have a problem in converting a equation to a nice polynomial form (a cubic equation with a form of A*x^3+B*x^2+C*x+D), can anyone please help me on the command? Thanks in advance.

My equation is " d := s*x*(E*K*q-K*r+K*sigma[1]+r*x)*(1-x*(E*K*q-K*r+K*sigma[1]+r*x)/(K*sigma[2]*L))/(K*sigma[2])+sigma[1]*x-x*(E*K*q-K*r+K*sigma[1]+r*x)/K " or for simplicity is

Can someone please teach me on the command? Really appreciate the help!

How to clear variables after each iteration -- for...

Asked by: ZWang 25

March 29 2017

0 2

Dear All,

The following code calculates the Rotation_number for given set of parameters. I would like to plot the value of Rotation_number against R for R from 500 to 1000. Since there are many variables for each iteration, I would like to know if there is a way to create a for loop for the following code while automatically clear variables except for Rotation_number to speed it up?

>

restart:
with(plots): with(DEtools): with(plottools):with(LinearAlgebra):
t_start:=2500: t_end:=5000:

b:=-3: c:=3: v1:=1: f:=-4: v2:=2.0: omega:=1: epsilon:=evalf(1/R): R:=100: k:=0.25:

kH:=(c+1)/(b-1):

sys:=diff(u1(t),t)=v1*u1(t)-(omega+k*u2(t)^2)*u2(t)-(u1(t)^2+u2(t)^2-b*z(t)^2)*u1(t),
 diff(u2(t),t)=(omega+k*u1(t)^2)*u1(t)+v1*u2(t)-(u1(t)^2+u2(t)^2-b*z(t)^2)*u2(t),
 diff(z(t),t)=z(t)*(kH*v1+c*u1(t)^2+c*u2(t)^2+z(t)^2)+epsilon*z(t)*(v2+f*z(t)^4):

solA:=dsolve({sys, u1(0)=0.6, u2(0)=0.6, z(0)=0.1},
 {u1(t),u2(t),z(t)},
 numeric, method=rkf45, maxfun=10^7,
 events=[[[u1(t)=0, u2(t)>0], halt]]):
evs:=Array():
evs(1,1..4):=Array([t,u1(t),u2(t),z(t)]):
interface(warnlevel=0):

for k from 2 do
 w:=solA(t_end):
 if rhs(w[1])<t_end
 then evs(k,1..4):=Array(map(rhs, w));
 solA(eventclear);
 else break;
 fi
od:

interface(warnlevel=3):
M:=DeleteRow(convert(evs,matrix),1):

T:=M[..,1]:

for i from 1 do
tt:=T[i]:
if tt>=t_start then break; end if;
end do:

R:=M[i..,3]: Z:=M[i..,4]:

N_alpha:=numelems(R):

r_center:=add(R[i],i=1..N_alpha)/N_alpha:
z_center:=add(Z[i],i=1..N_alpha)/N_alpha:

Zshift:=Z-~r_center: Rshift:=R-~z_center:

alpha:=(arctan~(Zshift/~Rshift)+(Pi/2)*sign~(Rshift))/~(2*Pi)+~0.5:

alpha2:=alpha[2..N_alpha]:
alpha1:=alpha[1..N_alpha-1]:

del_alpha:=alpha2-alpha1:
m:=numelems(del_alpha):

for i from 1 to m do

if del_alpha[i]<0
then del_alpha[i]:=del_alpha[i]+1;
else del_alpha[i]:=del_alpha[i];
fi:
od:

Rotation:=add(del_alpha[i],i=1..m)/m;

(1)

Rotation_number.mw

Thank you!

Very kind wishes,

Wang Zhe

How to create readonly list in Maple?...

Asked by: mehdibgh 235

March 28 2017

0 2

You know we can create readonly Matrix in Maple, Is it possible to create readonly list in Maple?

Is there a routine for the Clarke and Wright Savin...

Asked by: Teep 195

March 28 2017

1 0

I was looking to see if anyone has come across a Maple routine for a savings algorithm - specifically, Clarke and Wright. In fact, any classical savings heuristic would also be interesting.

Any guidance would be truly appreciated.

Can this Jacobi Differential equation be solved?...

Asked by: Ronan 1022

March 28 2017

0 2

I have been trying to find a solution for the equation below. Is there a non numerical explicit solution?

Download Jacobi_Diff_eqn_Mapleprime_post.mw

How to find equation of the intersection between ...

Asked by: Ava9 35

March 28 2017

0 1

With the following command I can plot two spheres and plot them.

f1 := x^2+y^2+z^2 = 1

f2 := x+y+z = 1

with(plottools);

with(plots);

S1 := implicitplot3d(f1, x = -1 .. 1, y = -1 .. 1, z = -1 .. 1, style = patchnogrid, color = blue, scaling = constrained, axes = boxed)

S2 := implicitplot3d(f2, x = -1 .. 1, y = -1 .. 1, z = -1 .. 1, style = patchnogrid, color = gold, scaling = constrained, axes = boxed)

dispaly(S1,S2)

My questions are:

1- How can I display (highlight) the circle which is the intersection between these two sphere on the same figure?

2- How can I find the equation of this circle?

Thank you.

What is the simplest way to assign the values of ...

Asked by: mehdibgh 235

March 27 2017

0 13

Hi,

I have two same dimentional matrix(1000*1000), one is full of variables and the other is full of numbers. What is the simplest way to assign the values of second matrix to first one variables?

for example:

A := Matrix([[x, y], [z, t]]);

B := Matrix([[1, 2], [3, 4]]);

How assign B's values to A's variables, in such a way that after assigning ,when call x, the 1 appears in output.

Download assgnSoal.mw

Get answer without RootOf...

Asked by: miguelbravo 70

March 27 2017

0 0

Is it possible get a solution of this equation without RoofOf in form explicit?

Undoing the effect of kronecker delta functions...

Asked by: AmusingYeti 165

March 27 2017

0 2

I am solving a matrix eigenvalue problem, and have found a way to make the matrices very sparse by a set of conditions x=x', y=y' and z=z'. If these are satisfied then the matrix element will be >0. If any one of them is not satisfied, then the matrix element becomes zero; hence a sparse matrix is formed. Mathematically in Maple this can be represented as such:

ME*KroneckerDelta[x,xp]*KroneckerDelta[y,yp]*KroneckerDelta[z,zp];

Where ME represents the matrix element and xp, yp, zp represent the prime notation . I apply this form within a C++ routine which I am extracting the matrices from into Maple where I am looking to modify them to experiment with an extension of the program.

The matrices I read into Maple have had the Kronecker delta functions applied, however Is there a simple way to reverse the effect of the Kronecker delta functions with the Matrix in Maple and return the Matrix equivalent to just ME without the product of kronecker delta functions?

-Yeti

Include a maple file in another...

Asked by: dc539 45

March 27 2017

2 6

In the same directory I have two Maple files. SignExpAlg.mw and RootBox.mw

In SignExpAlg.mw I have written several procedures which I am wanting to use in RootBox.mw

I have tried to do

read "SignExpAlg.m"

at the top of RootBox but when I click !!! I get the error message: "Error, could not open 'SignExpAlg.m' for reading"

What am I doing wrong?

What are these notations?...

Asked by: student_1 305

March 27 2017

1 1

I don' t understand what do these notations stand for? I know that there are some notations like these in Maple. How can I find meanings of the all of them?

Strange behavior of t-distribution command in Mapl...

Asked by: hpc 35

March 26 2017

1 6

I am finding that the PDF command with Student's t-distribution in the Statistics package is not behaving as expected. Here is what I tried so far:

>restart;
>with(Statistics):
>X := RandomVariable(StudentT(nu));

>PDF(X,0.5);
Dirac(X - 0.5)

Note that PDF(X,0.5) is evaluating to Dirac(X-0.5) instead of the pdf of Student's t-distribution density function.

Any help in identifying the issue is greatly appreciated. I am running Maple2015 on linuxmint 17.

Thanks!

How do I speed up the Evaluation of Elliptical fun...

Asked by: Ronan 1022

March 26 2017

2 4

Question:- can the procedure given below called "epi" be speeded up by compiling/ using evhf.If so how? My paple code is at the bottom.

First some background information.

Recently I ran into a difference in usage of a couple of elliptical functions between Maple and Mathematica. This first case concerned EllipticalPi. The author of the blog kindly wrote a Maple procedure to produce the same results as Mathematica’s usage of ElllipticalPi.

I tested the basic integral that produces the EllipticPi Ell := int(1/(1-nu*JacobiSN(t, k)^2), t) answer Ell := EllipticPi(JacobiSN(t, k), nu, k). They do not produce the same outcome. Plots are in the document . They agree in one quarter only.

I then ran into a difference in usage of EllipticF. This time I was able to get to same outcome myself using Maple’s help.

“It is worth noting the difference between the Legendre normal form of the Incomplete Elliptic integral of the first kind (see A&S 17.2.7), in Maple represented by EllipticF(z,k) but for the splitting of the square root in the denominator of the integrand (see definition lines above), and the normal trigonometric form of this elliptic integral (see A&S 17.2.6), in Maple represented by the InverseJacobiAM function
InverseJacobiAM(phi,k);

That worked fine.

There is no mention in the help for usage implementation of EllipticPi as opposed to different usages as there is with EllipticF. I do not know if there is a way in Maple of achieving the same enactment as Mathematica in this case, without the Procedure I was given.

Elliptic Pi in Mathematica and Maple

Posted on 2017/02/202017/02/23 by arkajad

We use EllipticPi when we write exact solutions of rotation of a free asymmetric top. While solving Euler’s equations for angular velocity or angular momentum in the body frame we need Jacobi elliptic functions $\cn,\sn,\dn,$ solving the differential equation for the attitude matrix involves EllipticPi function. As I have explained it in Taming the T-handle continued we need the integral

(1) $\begin{equation*}\psi(t)=c_1 t+c_2\int_0^t \frac{1}{1+c_3\,\sn^2(Bs,m)}\,ds.\end{equation*}$

In Mathematica this is easily implemented as

(2) $\begin{equation*}\psi(t)=c_1 t+\frac{c_2}{B}\,\Pi(-c_3;\am(Bt,m)|m).\end{equation*}$

However, as pointed out by Rowan in a comment to Taming the T-handle continued , the same formula does not work with Maple.

While the documentations of both Mathematica and Maple contain links to Abramowitz and Stegun Handbook of Mathematical Functions, they use different definitions. Here is what concerns us, from p. 590 of the 10th printing:

What we need is 17.2.16, while Maple is using 17.2.14. To convert we need to set $x=\sn u,$ but such a conversion is possible only in the domain where $\sn$ can be inverted. We can do it easily for sufficiently small values of but not necessarily for values that contain several quarter-periods.

The following Maple procedure does the job:

epi := proc (t::float, nu::float, k::float) local t2, n, dt, ep0, res; ep0 := EllipticPi(nu, k); t2 := EllipticK(k); n := floor(t/t2); dt := t-t2*n; if type(n, even) then res := Re(n*ep0+EllipticPi(JacobiSN(dt, k), nu, k)) else res := Re((1+n)*ep0-EllipticPi(JacobiSN(t2-dt, k), nu, k)) end if end proc

HAs an example here is the Maple plot for nu=-3, k=0.9:
plot(('epi')(t, -3.0, .9), t = -20 .. 20)

And here is the corresponding Mathematica plot:

The function epi(t,nu, k) defined above for Maple gives now the same result as EllipticPi(nu,JacobiAM(t,k^2),k^2) in Mathematica.

restart;
epi := proc (t, nu, k) local t2, n, dt, ep0, res; ep0 := EllipticPi(nu, k); t2 := EllipticK(k); n := floor(t/t2); dt := t-t2*n; if type(n, even) then res := Re(n*ep0+EllipticPi(JacobiSN(dt, k), nu, k)) else res := Re((1+n)*ep0-EllipticPi(JacobiSN(t2-dt, k), nu, k)) end if end proc;

Ell := int(1/(1-nu*JacobiSN(t, k)^2), t);
            Ell := EllipticPi(JacobiSN(t, k), nu, k)
k := .9;
                            k := 0.9
nu := -3;
                            nu := -3
plot([epi(t, nu, k), Ell], t = -8 .. 20);

MapleTA graphing algorithm...

Asked by: mschneider 60

March 26 2017

1 1

Hi all,

I am attempting to construct a randomized questions using algorithms and the sketch question type.

I have defined my variables algorithmically. The sketch question type only allows a static answer, and hence I am trying to modify the code.

As you can see below the code (part.1.answer...) is looking for points located at (7,0) and (0,-7). I would like to replace the 7 with variable $xint and -7 with variable $yint, but it seems the @-symbols are some form of termination point that won't allow variables to carry-into the expression.

Looking for ideas?? I do not want to change to multiple choice.

Thanks,

mode=Inline@
id=0@
name=Graph a linear relation in Ax+By=C form@
comment=

@
editing=useHTML@
solution=@
algorithm=$b=range(1,6,2);
$c=range($b,20,$b);
$a=$b*3;
$zero=0;
$xint=$c/$a;
$yint=$c/$b;@
customCss=@
appliedThemes=@
uid=316f7dda-d8bc-479f-a3e4-9703a1846072@
privacy=10@
allowRepublish=false@
description=@
difficulty=0.0@
modifiedIn=11.10@
modifiedBy=a0c70480-e1aa-418d-9980-0347cddc1087@
school=7f01c0fb-116a-4f9d-bafc-e91de0b62105@
attributeAuthor=true@
numberOfAttempts=1@
numberOfAttemptsLeft=1@
numberOfTryAnother=0@
numberOfTryAnotherLeft=0@
question=Graph  <math xmlns="http://www.w3.org/1998/Math/MathML"><mrow> <mn>$a</mn> <mspace width="5px"></mspace> <mi mathvariant="italic">x</mi> <mo>+</mo> <mi mathvariant="italic"> </mi> <mn>$b</mn> <mspace width="5px"></mspace> <mi mathvariant="italic">y </mi> <mo>=</mo> <mn>$c</mn> </mrow></math>  on the grid below.

<1>

@
weighting=1@
numbering=alpha@
part.1.grid=true@
part.1.comment=

@
part.1.editing=useHTML@
part.1.attributeAuthor=false@
part.1.options="visible_buttons":"createline:1, delete"@
part.1.givenCurves={"sketchElements":[{"elementType":"topGroup","parents":[],"attributes":{"name":"Top-level Group"},"gradingOptions":{},"id":"topGroup"}]}@
part.1.modifiedIn=11.10@
part.1.numberOfAttempts=1@
part.1.allowRepublish=false@
part.1.numberOfTryAnotherLeft=0@
part.1.numberOfAttemptsLeft=1@
part.1.mode=Html5sketch@
part.1.numberOfTryAnother=0@
part.1.answer={"sketchElements":[{"elementType":"topGroup","parents":["jxgBoard1L160"],"attributes":{"name":"Top-level Group"},"gradingOptions":{},"id":"topGroup"},{"elementType":"point","parents":[7,0],"attributes":{"name":"B"},"gradingOptions":{},"id":"jxgBoard1P158"},{"elementType":"point","parents":[0,-7],"attributes":{"name":"C"},"gradingOptions":{},"id":"jxgBoard1P159"},{"elementType":"line","parents":["jxgBoard1P158","jxgBoard1P159"],"attributes":{"name":"aq"},"gradingOptions":{},"id":"jxgBoard1L160"}]}@
part.1.gradingCode=op(1,[Grading:-GradePlot($ANSWER, $RESPONSE, $PLOTVIEW)]);@
part.1.axes=-10,10,-10,10@
part.1.difficulty=0.0@
part.1.ticks=4,5,4,5@
part.1.name=responseNaN@

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Undoing the effect of kronecker delta functions...

Include a maple file in another...

What are these notations?...

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How do I speed up the Evaluation of Elliptical fun...

MapleTA graphing algorithm...

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