A numerical note on upper bounds for B_2[g] sets : the numerical data Laurent Habsieger and Alain Plagne ================================== This document contains the numerical aspect of our paper « A numerical note on upper bounds for B_2[g] sets ». I. The Maple program Here is the latest version of the program we used (with 2*400+1 = 801 variables and with the ‘optimized’ intervals for the range of the variables). Program : I1 := proc (x) options operator, arrow; sin(x)/x end; I2 := proc (x) options operator, arrow; 1/2+(1/4)*sin(2*x)/x end; In1b := proc (y0, Y, D) local i; I1(y0+Pi)+add(D[i]*I1(Y[i]+(2*i+1)*Pi)/i, i = 1 .. nops(Y)) end; In21b := proc (y0, Y, D) local i; I2(y0+Pi)+add(D[i]^2 *I2(Y[i]+(2*i+1)*Pi)/i^2, i = 1 .. nops(Y)) end; In22b := proc (y0, Y, D) local i, j; add(add(D[i]*D[j]*(I1(Y[i]+Y[j]+(2*i+2*j+2)*Pi)+I1(Y[i]-Y[j]+(2*i-2*j)*Pi))/(i*j), i = j+1 .. nops(Y)), j = 1 .. nops(Y)-1)+add(D[i]*(I1(Y[i]+y0+(2*i+2)*Pi)+I1(Y[i]-y0+2*i*Pi))/i, i = 1.. nops(Y)) end; Rnb := proc (y0, Y, D) 2-2*In1b(y0, Y, D)^2/(In21b(y0, Y, D)+In22b(y0, Y,D)) end; resnb := Optimization:-Minimize(Rnb(y000, [y001,y002,y003,y004,y005,y006,y007,y008,y009,y010,y011,y012,y013,y014,y015,y016,y017,y018,y019, y020,y021,y022,y023,y024,y025,y026,y027,y028,y029,y030,y031,y032,y033,y034,y035,y036,y037,y038,y039, y040,y041,y042,y043,y044,y045,y046,y047,y048,y049,y050,y051,y052,y053,y054,y055,y056,y057,y058,y059, y060,y061,y062,y063,y064,y065,y066,y067,y068,y069,y070,y071,y072,y073,y074,y075,y076,y077,y078,y079, y080,y081,y082,y083,y084,y085,y086,y087,y088,y089,y090,y091,y092,y093,y094,y095,y096,y097,y098,y099, y100,y101,y102,y103,y104,y105,y106,y107,y108,y109,y110,y111,y112,y113,y114,y115,y116,y117,y118,y119, y120,y121,y122,y123,y124,y125,y126,y127,y128,y129,y130,y131,y132,y133,y134,y135,y136,y137,y138,y139, y140,y141,y142,y143,y144,y145,y146,y147,y148,y149,y150,y151,y152,y153,y154,y155,y156,y157,y158,y159, y160,y161,y162,y163,y164,y165,y166,y167,y168,y169,y170,y171,y172,y173,y174,y175,y176,y177,y178,y179, y180,y181,y182,y183,y184,y185,y186,y187,y188,y189,y190,y191,y192,y193,y194,y195,y196,y197,y198,y199, y200,y201,y202,y203,y204,y205,y206,y207,y208,y209,y210,y211,y212,y213,y214,y215,y216,y217,y218,y219, y220,y221,y222,y223,y224,y225,y226,y227,y228,y229,y230,y231,y232,y233,y234,y235,y236,y237,y238,y239, y240,y241,y242,y243,y244,y245,y246,y247,y248,y249,y250,y251,y252,y253,y254,y255,y256,y257,y258,y259, y260,y261,y262,y263,y264,y265,y266,y267,y268,y269,y270,y271,y272,y273,y274,y275,y276,y277,y278,y279, y280,y281,y282,y283,y284,y285,y286,y287,y288,y289,y290,y291,y292,y293,y294,y295,y296,y297,y298,y299, y300,y301,y302,y303,y304,y305,y306,y307,y308,y309,y310,y311,y312,y313,y314,y315,y316,y317,y318,y319, y320,y321,y322,y323,y324,y325,y326,y327,y328,y329,y330,y331,y332,y333,y334,y335,y336,y337,y338,y339, y340,y341,y342,y343,y344,y345,y346,y347,y348,y349,y350,y351,y352,y353,y354,y355,y356,y357,y358,y359, y360,y361,y362,y363,y364,y365,y366,y367,y368,y369,y370,y371,y372,y373,y374,y375,y376,y377,y378,y379, y380,y381,y382,y383,y384,y385,y386,y387,y388,y389,y390,y391,y392,y393,y394,y395,y396,y397,y398,y399,y400], [d001,d002,d003,d004,d005,d006,d007,d008,d009,d010,d011,d012,d013,d014,d015,d016,d017,d018,d019,d020, d021,d022,d023,d024,d025,d026,d027,d028,d029,d030,d031,d032,d033,d034,d035,d036,d037,d038,d039,d040, d041,d042,d043,d044,d045,d046,d047,d048,d049,d050,d051,d052,d053,d054,d055,d056,d057,d058,d059,d060, d061,d062,d063,d064,d065,d066,d067,d068,d069,d070,d071,d072,d073,d074,d075,d076,d077,d078,d079,d080, d081,d082,d083,d084,d085,d086,d087,d088,d089,d090,d091,d092,d093,d094,d095,d096,d097,d098,d099,d100, d101,d102,d103,d104,d105,d106,d107,d108,d109,d110,d111,d112,d113,d114,d115,d116,d117,d118,d119,d120, d121,d122,d123,d124,d125,d126,d127,d128,d129,d130,d131,d132,d133,d134,d135,d136,d137,d138,d139,d140, d141,d142,d143,d144,d145,d146,d147,d148,d149,d150,d151,d152,d153,d154,d155,d156,d157,d158,d159,d160, d161,d162,d163,d164,d165,d166,d167,d168,d169,d170,d171,d172,d173,d174,d175,d176,d177,d178,d179,d180, d181,d182,d183,d184,d185,d186,d187,d188,d189,d190,d191,d192,d193,d194,d195,d196,d197,d198,d199,d200, d201,d202,d203,d204,d205,d206,d207,d208,d209,d210,d211,d212,d213,d214,d215,d216,d217,d218,d219,d220, d221,d222,d223,d224,d225,d226,d227,d228,d229,d230,d231,d232,d233,d234,d235,d236,d237,d238,d239,d240, d241,d242,d243,d244,d245,d246,d247,d248,d249,d250,d251,d252,d253,d254,d255,d256,d257,d258,d259,d260, d261,d262,d263,d264,d265,d266,d267,d268,d269,d270,d271,d272,d273,d274,d275,d276,d277,d278,d279,d280, d281,d282,d283,d284,d285,d286,d287,d288,d289,d290,d291,d292,d293,d294,d295,d296,d297,d298,d299,d300, d301,d302,d303,d304,d305,d306,d307,d308,d309,d310,d311,d312,d313,d314,d315,d316,d317,d318,d319,d320, d321,d322,d323,d324,d325,d326,d327,d328,d329,d330,d331,d332,d333,d334,d335,d336,d337,d338,d339,d340, d341,d342,d343,d344,d345,d346,d347,d348,d349,d350,d351,d352,d353,d354,d355,d356,d357,d358,d359,d360, d361,d362,d363,d364,d365,d366,d367,d368,d369,d370,d371,d372,d373,d374,d375,d376,d377,d378,d379,d380, d381,d382,d383,d384,d385,d386,d387,d388,d389,d390,d391,d392,d393,d394,d395,d396,d397,d398,d399,d400]), y000=1.65..1.75,y001=1.55..1.7,y002=1.5..1.65,y003=1.5..1.65,y004=1.5..1.65, y005=1.5..1.65,y006=1.5..1.65,y007=1.5..1.65,y008=1.5..1.65,y009=1.5..1.65, y010=1.5..1.65,y011=1.5..1.65,y012=1.5..1.65,y013=1.5..1.65,y014=1.5..1.65, y015=1.5..1.65,y016=1.5..1.65,y017=1.5..1.65,y018=1.5..1.65,y019=1.5..1.65, y020=1.5..1.65,y021=1.5..1.65,y022=1.5..1.65,y023=1.5..1.65,y024=1.5..1.65, y025=1.5..1.65,y026=1.5..1.65,y027=1.5..1.65,y028=1.5..1.65,y029=1.5..1.65, y030=1.5..1.65,y031=1.3..1.6,y032=1.3..1.6,y033=1.3..1.6,y034=1.3..1.6, y035=1.3..1.6,y036=1.3..1.6,y037=1.3..1.6,y038=1.3..1.6,y039=1.3..1.6, y040=1.3..1.6,y041=1.3..1.6,y042=1.3..1.6,y043=1.3..1.6,y044=1.3..1.6, y045=1.3..1.6,y046=1.3..1.6,y047=1.3..1.6,y048=1.3..1.6,y049=1.3..1.6, y050=1.3..1.6,y051=1.3..1.6,y052=1.3..1.6,y053=1.3..1.6,y054=1.3..1.6, y055=1.3..1.6,y056=1.3..1.6,y057=1.3..1.6,y058=1.3..1.6,y059=1.3..1.6, y060=1.3..1.6,y061=1.3..1.6,y062=1.3..1.6,y063=1.3..1.6,y064=1.3..1.6, y065=1.3..1.6,y066=1.3..1.6,y067=1.3..1.6,y068=1.3..1.6,y069=1.3..1.6, y070=1.3..1.6,y071=1.3..1.6,y072=1.3..1.6,y073=1.3..1.6,y074=1.3..1.6, y075=1.3..1.6,y076=1.3..1.6,y077=1.3..1.6,y078=1.3..1.6,y079=1.3..1.6, y080=1.3..1.6,y081=1.3..1.6,y082=1.3..1.6,y083=1.3..1.6,y084=1.3..1.6, y085=1.3..1.6,y086=1.3..1.6,y087=1.3..1.6,y088=1.3..1.6,y089=1.3..1.6, y090=1.3..1.6,y091=1.3..1.6,y092=1.3..1.6,y093=1.3..1.6,y094=1.3..1.6, y095=1.3..1.6,y096=1.3..1.6,y097=1.3..1.6,y098=1.3..1.6,y099=1.3..1.6, y100=1.3..1.6,y101=1.3..1.6,y102=1.3..1.6,y103=1.3..1.6,y104=1.3..1.6, y105=1.3..1.6,y106=1.3..1.6,y107=1.3..1.6,y108=1.3..1.6,y109=1.3..1.6, y110=1.3..1.6,y111=1.3..1.6,y112=1.3..1.6,y113=1.3..1.6,y114=1.3..1.6, y115=1.3..1.6,y116=1.3..1.6,y117=1.3..1.6,y118=1.3..1.6,y119=1.3..1.6, y120=1.3..1.6,y121=1.3..1.6,y122=1.3..1.6,y123=1.3..1.6,y124=1.3..1.6, y125=1.3..1.6,y126=1.3..1.6,y127=1.3..1.6,y128=1.3..1.6,y129=1.3..1.6, y130=1.3..1.6,y131=1.3..1.6,y132=1.3..1.6,y133=1.3..1.6,y134=1.3..1.6, y135=1.3..1.6,y136=1.3..1.6,y137=1.3..1.6,y138=1.3..1.6,y139=1.3..1.6, y140=1.3..1.6,y141=1.3..1.6,y142=1.3..1.6,y143=1.3..1.6,y144=1.3..1.6, y145=1.3..1.6,y146=1.3..1.6,y147=1.3..1.6,y148=1.3..1.6,y149=1.3..1.6, y150=1.3..1.6,y151=1.3..1.6,y152=1.3..1.6,y153=1.3..1.6,y154=1.3..1.6, y155=1.3..1.6,y156=1.3..1.6,y157=1.3..1.6,y158=1.3..1.6,y159=1.3..1.6, y160=1.3..1.6,y161=1.3..1.6,y162=1.3..1.6,y163=1.3..1.6,y164=1.3..1.6, y165=1.3..1.6,y166=1.3..1.6,y167=1.3..1.6,y168=1.3..1.6,y169=1.3..1.6, y170=1.3..1.6,y171=1.3..1.6,y172=1.3..1.6,y173=1.3..1.6,y174=1.3..1.6, y175=1.3..1.6,y176=1.3..1.6,y177=1.3..1.6,y178=1.3..1.6,y179=1.3..1.6, y180=1.3..1.6,y181=1.3..1.6,y182=1.3..1.6,y183=1.3..1.6,y184=1.3..1.6, y185=1.3..1.6,y186=1.3..1.6,y187=1.3..1.6,y188=1.3..1.6,y189=1.3..1.6, y190=1.3..1.6,y191=1.3..1.6,y192=1.3..1.6,y193=1.3..1.6,y194=1.3..1.6, y195=1.3..1.6,y196=1.3..1.6,y197=1.3..1.6,y198=1.3..1.6,y199=1.3..1.6, y200=1.3..1.6,y201=1.05..1.4,y202=1.05..1.4,y203=1.05..1.4,y204=1.05..1.4, y205=1.05..1.4,y206=1.05..1.4,y207=1.05..1.4,y208=1.05..1.4,y209=1.05..1.4, y210=1.05..1.4,y211=1.05..1.4,y212=1.05..1.4,y213=1.05..1.4,y214=1.05..1.4, y215=1.05..1.4,y216=1.05..1.4,y217=1.05..1.4,y218=1.05..1.4,y219=1.05..1.4, y220=1.05..1.4,y221=1.05..1.4,y222=1.05..1.4,y223=1.05..1.4,y224=1.05..1.4, y225=1.05..1.4,y226=1.05..1.4,y227=1.05..1.4,y228=1.05..1.4,y229=1.05..1.4, y230=1.05..1.4,y231=1.05..1.4,y232=1.05..1.4,y233=1.05..1.4,y234=1.05..1.4, y235=1.05..1.4,y236=1.05..1.4,y237=1.05..1.4,y238=1.05..1.4,y239=1.05..1.4, y240=1.05..1.4,y241=1.05..1.4,y242=1.05..1.4,y243=1.05..1.4,y244=1.05..1.4, y245=1.05..1.4,y246=1.05..1.4,y247=1.05..1.4,y248=1.05..1.4,y249=1.05..1.4, y250=1.05..1.4,y251=1.05..1.4,y252=1.05..1.4,y253=1.05..1.4,y254=1.05..1.4, y255=1.05..1.4,y256=1.05..1.4,y257=1.05..1.4,y258=1.05..1.4,y259=1.05..1.4, y260=1.05..1.4,y261=1.05..1.4,y262=1.05..1.4,y263=1.05..1.4,y264=1.05..1.4, y265=1.05..1.4,y266=1.05..1.4,y267=1.05..1.4,y268=1.05..1.4,y269=1.05..1.4, y270=1.05..1.4,y271=1.05..1.4,y272=1.05..1.4,y273=1.05..1.4,y274=1.05..1.4, y275=1.05..1.4,y276=1.05..1.4,y277=1.05..1.4,y278=1.05..1.4,y279=1.05..1.4, y280=1.05..1.4,y281=1.05..1.4,y282=1.05..1.4,y283=1.05..1.4,y284=1.05..1.4, y285=1.05..1.4,y286=1.05..1.4,y287=1.05..1.4,y288=1.05..1.4,y289=1.05..1.4, y290=1.05..1.4,y291=1.05..1.4,y292=1.05..1.4,y293=1.05..1.4,y294=1.05..1.4, y295=1.05..1.4,y296=1.05..1.4,y297=1.05..1.4,y298=1.05..1.4,y299=1.05..1.4, y300=1.05..1.4,y301=0..1.2,y302=0..1.2,y303=0..1.2,y304=0..1.2, y305=0..1.2,y306=0..1.2,y307=0..1.2,y308=0..1.2,y309=0..1.2, y310=0..1.2,y311=0..1.15,y312=0..1.15,y313=0..1.15,y314=0..1.15, y315=0..1.15,y316=0..1.15,y317=0..1.15,y318=0..1.15,y319=0..1.15, y320=0..1.15,y321=0..1.15,y322=0..1.15,y323=0..1.15,y324=0..1.15, y325=0..1.15,y326=0..1.15,y327=0..1.15,y328=0..1.15,y329=0..1.15, y330=0..1.15,y331=0..1.15,y332=0..1.15,y333=0..1.15,y334=0..1.15, y335=0..1.15,y336=0..1.15,y337=0..1.15,y338=0..1.15,y339=0..1.15, y340=0..1.15,y341=0..1.15,y342=0..1.15,y343=0..1.15,y344=0..1.15, y345=0..1.15,y346=0..1.15,y347=0..1.15,y348=0..1.15,y349=0..1.15, y350=0..1.15,y351=0..1.15,y352=0..1.15,y353=0..1.15,y354=0..1.15, y355=0..1.15,y356=0..1.15,y357=0..1.15,y358=0..1.15,y359=0..1.15, y360=0..1.15,y361=0..1.15,y362=0..1.15,y363=0..1.15,y364=0..1.15, y365=0..1.15,y366=0..1.15,y367=0..1.15,y368=0..1.15,y369=0..1.15, y370=0..1.15,y371=0..1.15,y372=0..1.15,y373=0..1.15,y374=0..1.15, y375=0..1.15,y376=0..1.15,y377=0..1.15,y378=0..1.15,y379=0..1.15, y380=0..1.15,y381=0..1.15,y382=0..1.15,y383=0..1.15,y384=0..1.15, y385=0..1.15,y386=0..1.15,y387=0..1.15,y388=0..1.15,y389=0..1.15, y390=0..1.15,y391=0..1.15,y392=0..1.15,y393=0..1.15,y394=0..1.15, y395=0..1.15,y396=0..1.15,y397=0..1.15,y398=0..1.15,y399=0..1.15, y400=0..1.15, d001=0.4..0.5,d002=0.5..0.6,d003=0.6..0.7,d004=0.6..0.7,d005=0.69..0.7, d006=0.70..0.71,d007=0.71..0.81,d008=0.72..0.81,d009=0.73..0.81,d010=0.73..0.81, d011=0.74..0.81,d012=0.74..0.81,d013=0.75..0.81,d014=0.75..0.81,d015=0.75..0.81, d016=0.75..0.81,d017=0.76..0.81,d018=0.76..0.81,d019=0.76..0.81,d020=0.76..0.81, d021=0.76..0.81,d022=0.76..0.81,d023=0.76..0.81,d024=0.76..0.81,d025=0.76..0.81, d026=0.76..0.81,d027=0.76..0.81,d028=0.76..0.81,d029=0.76..0.81,d030=0.76..0.81, d031=0.76..0.81,d032=0.76..0.81,d033=0.76..0.81,d034=0.76..0.81,d035=0.76..0.81, d036=0.76..0.81,d037=0.76..0.81,d038=0.76..0.81,d039=0.76..0.81,d040=0.76..0.81, d041=0.76..0.81,d042=0.76..0.81,d043=0.76..0.81,d044=0.76..0.81,d045=0.76..0.81, d046=0.76..0.81,d047=0.76..0.81,d048=0.76..0.81,d049=0.76..0.81,d050=0.76..0.81, d051=0.76..0.81,d052=0.76..0.81,d053=0.76..0.81,d054=0.76..0.81,d055=0.76..0.81, d056=0.76..0.81,d057=0.76..0.81,d058=0.76..0.81,d059=0.76..0.81,d060=0.76..0.81, d061=0.76..0.81,d062=0.76..0.81,d063=0.76..0.81,d064=0.76..0.81,d065=0.76..0.81, d066=0.76..0.81,d067=0.76..0.81,d068=0.76..0.81,d069=0.76..0.81,d070=0.76..0.81, d071=0.76..0.81,d072=0.76..0.81,d073=0.76..0.81,d074=0.76..0.81,d075=0.76..0.81, d076=0.76..0.81,d077=0.76..0.81,d078=0.76..0.81,d079=0.76..0.81,d080=0.76..0.81, d081=0.76..0.81,d082=0.76..0.81,d083=0.76..0.81,d084=0.76..0.81,d085=0.76..0.81, d086=0.76..0.81,d087=0.76..0.81,d088=0.76..0.81,d089=0.76..0.81,d090=0.76..0.81, d091=0.76..0.81,d092=0.76..0.81,d093=0.76..0.81,d094=0.76..0.81,d095=0.76..0.81, d096=0.76..0.81,d097=0.76..0.81,d098=0.76..0.81,d099=0.76..0.81,d100=0.76..0.81, d101=0.76..0.81,d102=0.76..0.81,d103=0.76..0.81,d104=0.76..0.81,d105=0.76..0.81, d106=0.76..0.81,d107=0.76..0.81,d108=0.76..0.81,d109=0.76..0.81,d110=0.76..0.81, d111=0.76..0.81,d112=0.76..0.81,d113=0.76..0.81,d114=0.76..0.81,d115=0.76..0.81, d116=0.76..0.81,d117=0.76..0.81,d118=0.76..0.81,d119=0.76..0.81,d120=0.76..0.81, d121=0.76..0.81,d122=0.76..0.81,d123=0.76..0.81,d124=0.76..0.81,d125=0.76..0.81, d126=0.76..0.81,d127=0.76..0.81,d128=0.76..0.81,d129=0.76..0.81,d130=0.76..0.81, d131=0.76..0.81,d132=0.76..0.81,d133=0.76..0.81,d134=0.76..0.81,d135=0.76..0.81, d136=0.76..0.81,d137=0.76..0.81,d138=0.76..0.81,d139=0.76..0.81,d140=0.76..0.81, d141=0.76..0.81,d142=0.76..0.81,d143=0.76..0.81,d144=0.76..0.81,d145=0.76..0.81, d146=0.76..0.81,d147=0.76..0.81,d148=0.76..0.81,d149=0.76..0.81,d150=0.76..0.81, d151=0.76..0.81,d152=0.76..0.81,d153=0.76..0.81,d154=0.76..0.81,d155=0.76..0.81, d156=0.76..0.81,d157=0.76..0.81,d158=0.76..0.81,d159=0.76..0.81,d160=0.76..0.81, d161=0.76..0.81,d162=0.76..0.81,d163=0.76..0.81,d164=0.76..0.81,d165=0.76..0.81, d166=0.76..0.81,d167=0.76..0.81,d168=0.76..0.81,d169=0.76..0.81,d170=0.76..0.81, d171=0.76..0.81,d172=0.76..0.81,d173=0.76..0.81,d174=0.76..0.81,d175=0.76..0.81, d176=0.76..0.81,d177=0.76..0.81,d178=0.76..0.81,d179=0.76..0.81,d180=0.76..0.81, d181=0.76..0.81,d182=0.76..0.81,d183=0.76..0.81,d184=0.76..0.81,d185=0.76..0.81, d186=0.76..0.81,d187=0.76..0.81,d188=0.76..0.81,d189=0.76..0.81,d190=0.76..0.81, d191=0.76..0.81,d192=0.76..0.81,d193=0.76..0.81,d194=0.76..0.81,d195=0.76..0.81, d196=0.76..0.81,d197=0.76..0.81,d198=0.76..0.81,d199=0.76..0.81,d200=0.76..0.81, d201=0.76..0.81,d202=0.76..0.81,d203=0.76..0.81,d204=0.76..0.81,d205=0.76..0.81, d206=0.76..0.81,d207=0.76..0.81,d208=0.76..0.81,d209=0.76..0.81,d210=0.76..0.81, d211=0.76..0.81,d212=0.76..0.81,d213=0.76..0.81,d214=0.76..0.81,d215=0.76..0.81, d216=0.76..0.81,d217=0.76..0.81,d218=0.76..0.81,d219=0.76..0.81,d220=0.76..0.81, d221=0.76..0.81,d222=0.76..0.81,d223=0.76..0.81,d224=0.76..0.81,d225=0.76..0.81, d226=0.76..0.81,d227=0.76..0.81,d228=0.76..0.81,d229=0.76..0.81,d230=0.76..0.81, d231=0.76..0.81,d232=0.76..0.81,d233=0.76..0.81,d234=0.76..0.81,d235=0.76..0.81, d236=0.76..0.81,d237=0.76..0.81,d238=0.76..0.81,d239=0.76..0.81,d240=0.76..0.81, d241=0.76..0.81,d242=0.76..0.81,d243=0.76..0.81,d244=0.76..0.81,d245=0.76..0.81, d246=0.76..0.81,d247=0.76..0.81,d248=0.76..0.81,d249=0.76..0.81,d250=0.76..0.81, d251=0.76..0.81,d252=0.76..0.81,d253=0.76..0.81,d254=0.76..0.81,d255=0.76..0.81, d256=0.76..0.81,d257=0.76..0.81,d258=0.76..0.81,d259=0.76..0.81,d260=0.76..0.81, d261=0.76..0.81,d262=0.76..0.81,d263=0.76..0.81,d264=0.76..0.81,d265=0.76..0.81, d266=0.76..0.81,d267=0.76..0.81,d268=0.76..0.81,d269=0.76..0.81,d270=0.76..0.81, d271=0.76..0.81,d272=0.76..0.81,d273=0.76..0.81,d274=0.76..0.81,d275=0.76..0.81, d276=0.76..0.81,d277=0.76..0.81,d278=0.76..0.81,d279=0.76..0.81,d280=0.76..0.81, d281=0.76..0.81,d282=0.76..0.81,d283=0.76..0.81,d284=0.76..0.81,d285=0.76..0.81, d286=0.76..0.81,d287=0.76..0.81,d288=0.76..0.81,d289=0.76..0.81,d290=0.76..0.81, d291=0.76..0.81,d292=0.76..0.81,d293=0.76..0.81,d294=0.76..0.81,d295=0.76..0.81, d296=0.76..0.81,d297=0.76..0.81,d298=0.76..0.81,d299=0.76..0.81,d300=0.76..0.81, d301=0.76..0.81,d302=0.76..0.81,d303=0.76..0.81,d304=0.76..0.81,d305=0.76..0.81, d306=0.76..0.81,d307=0.76..0.81,d308=0.76..0.81,d309=0.76..0.81,d310=0.76..0.81, d311=0.76..0.81,d312=0.76..0.81,d313=0.76..0.81,d314=0.76..0.81,d315=0.76..0.81, d316=0.76..0.81,d317=0.76..0.81,d318=0.76..0.81,d319=0.76..0.81,d320=0.76..0.81, d321=0.76..0.81,d322=0.76..0.81,d323=0.76..0.81,d324=0.76..0.81,d325=0.76..0.81, d326=0.76..0.81,d327=0.76..0.81,d328=0.76..0.81,d329=0.76..0.81,d330=0.76..0.81, d331=0.76..0.81,d332=0.76..0.81,d333=0.76..0.81,d334=0.76..0.81,d335=0.76..0.81, d336=0.76..0.81,d337=0.76..0.81,d338=0.76..0.81,d339=0.76..0.81,d340=0.76..0.81, d341=0.76..0.81,d342=0.76..0.81,d343=0.76..0.81,d344=0.76..0.81,d345=0.76..0.81, d346=0.76..0.81,d347=0.76..0.81,d348=0.76..0.81,d349=0.76..0.81,d350=0.75..0.81, d351=0.7..0.82,d352=0.7..0.82,d353=0.7..0.82,d354=0.7..0.82,d355=0.7..0.82, d356=0.7..0.82,d357=0.7..0.82,d358=0.7..0.82,d359=0.7..0.82,d360=0.7..0.82, d361=0.7..0.82,d362=0.7..0.82,d363=0.7..0.82,d364=0.7..0.82,d365=0.7..0.82, d366=0.7..0.82,d367=0.7..0.82,d368=0.7..0.82,d369=0.7..0.82,d370=0.7..0.82, d371=0.7..0.82,d372=0.7..0.82,d373=0.7..0.82,d374=0.7..0.82,d375=0.7..0.82, d376=0.7..0.82,d377=0.7..0.82,d378=0.7..0.82,d379=0.7..0.82,d380=0.7..0.82, d381=0.7..0.82,d382=0.7..0.82,d383=0.7..0.82,d384=0.7..0.82,d385=0.7..0.82, d386=0.7..0.82,d387=0.7..0.82,d388=0.7..0.82,d389=0.7..0.82,d390=0.7..0.82, d391=0.7..0.82,d392=0.7..0.82,d393=0.7..0.82,d394=0.7..0.82,d395=0.7..0.82, d396=0.7..0.82,d397=0.7..0.82,d398=0.7..0.82,d399=0.7..0.82,d400=0.7..0.82); } II. The results : [1.74046270371931700, [d001 = 0.448668493767477, d002 = 0.575146465019734, d003 = 0.634139353767643, d004 = 0.668206769165044, d005 = 0.690373909392123, d006 = 0.705944152178521, d007 = 0.717479053644182, d008 = 0.726366349898625, d009 = 0.733423759607086, d010 = 0.739163465377496, d011 = 0.743922783065952, d012 = 0.747933037687434, d013 = 0.751358473065359, d014 = 0.754318115226197, d015 = 0.756900829824045, d016 = 0.759174482613027, d017 = 0.761190238930946, d018 = 0.762988657959701, d019 = 0.764605831570057, d020 = 0.766063873483719, d021 = 0.767398988945215, d022 = 0.768616037123302, d023 = 0.769721510942451, d024 = 0.770739989883381, d025 = 0.771678878036841, d026 = 0.772543457251216, d027 = 0.773353319988327, d028 = 0.774096401927810, d029 = 0.774802358105814, d030 = 0.775461565599078, d031 = 0.776070438424819, d032 = 0.776640535845029, d033 = 0.777213408942223, d034 = 0.777688024987857, d035 = 0.778162522583045, d036 = 0.778618081806088, d037 = 0.779075729278605, d038 = 0.779444959637105, d039 = 0.779857433648994, d040 = 0.780247031029276, d041 = 0.780579370448116, d042 = 0.780921813816887, d043 = 0.781221129831046, d044 = 0.781554783493105, d045 = 0.781870431056320, d046 = 0.782110198962599, d047 = 0.782361619824327, d048 = 0.782643557927602, d049 = 0.782885035586508, d050 = 0.783100192717692, d051 = 0.783342365173990, d052 = 0.783595906004298, d053 = 0.783810179779866, d054 = 0.783988043417615, d055 = 0.784177435374407, d056 = 0.784397049021542, d057 = 0.784613052658378, d058 = 0.784786700169608, d059 = 0.784918442580442, d060 = 0.785040111360803, d061 = 0.785179816957299, d062 = 0.785343065478868, d063 = 0.785519590838567, d064 = 0.785695571902747, d065 = 0.785853862148609, d066 = 0.785996034413064, d067 = 0.786125532833043, d068 = 0.786236995483984, d069 = 0.786342494565427, d070 = 0.786452864366268, d071 = 0.786563587071078, d072 = 0.786679090650337, d073 = 0.786803119577450, d074 = 0.786929368581373, d075 = 0.787055085257009, d076 = 0.787175007174895, d077 = 0.787278679867260, d078 = 0.787388897800925, d079 = 0.787480166835847, d080 = 0.787571737298196, d081 = 0.787662311450612, d082 = 0.787746147479553, d083 = 0.787824017070294, d084 = 0.787901793778697, d085 = 0.787971678855032, d086 = 0.788034488566323, d087 = 0.788099966263014, d088 = 0.788174237686959, d089 = 0.788266733797840, d090 = 0.788350218210727, d091 = 0.788420333823660, d092 = 0.788497980321203, d093 = 0.788564964665391, d094 = 0.788640535779420, d095 = 0.788713862307004, d096 = 0.788775900296688, d097 = 0.788862521700165, d098 = 0.788915457503062, d099 = 0.788966331570839, d100 = 0.789021001082899, d101 = 0.789088245536099, d102 = 0.789174744140521, d103 = 0.789221129906335, d104 = 0.789265546398036, d105 = 0.789317436200086, d106 = 0.789367535235580, d107 = 0.789410163249776, d108 = 0.789456196408805, d109 = 0.789502766135914, d110 = 0.789553137706141, d111 = 0.789612191017645, d112 = 0.789661801081568, d113 = 0.789718396111803, d114 = 0.789784857998452, d115 = 0.789831505480805, d116 = 0.789883458300027, d117 = 0.789932111779815, d118 = 0.789974978600976, d119 = 0.790012263605480, d120 = 0.790051801735468, d121 = 0.790094839760816, d122 = 0.790128934411730, d123 = 0.790168997679181, d124 = 0.790204458105270, d125 = 0.790234922073392, d126 = 0.790290141148586, d127 = 0.790330253047843, d128 = 0.790338614906105, d129 = 0.790385196281599, d130 = 0.790437658492985, d131 = 0.790450499260504, d132 = 0.790469431716861, d133 = 0.790520785450490, d134 = 0.790566746077126, d135 = 0.790592385258069, d136 = 0.790625457076897, d137 = 0.790677475393438, d138 = 0.790732012656568, d139 = 0.790771183328144, d140 = 0.790804426400924, d141 = 0.790821769195756, d142 = 0.790831469980942, d143 = 0.790872846157698, d144 = 0.790909691132363, d145 = 0.790944804982300, d146 = 0.790978512406652, d147 = 0.791013400488515, d148 = 0.791052979879117, d149 = 0.791090651616536, d150 = 0.791122783829685, d151 = 0.791149676204014, d152 = 0.791184917866926, d153 = 0.791215777180728, d154 = 0.791242783120920, d155 = 0.791271675649595, d156 = 0.791297658700565, d157 = 0.791324190521294, d158 = 0.791348044851954, d159 = 0.791381604452751, d160 = 0.791396428278276, d161 = 0.791434214446256, d162 = 0.791472672830066, d163 = 0.791518688762731, d164 = 0.791545418341737, d165 = 0.791578656843712, d166 = 0.791613738551529, d167 = 0.791631200849643, d168 = 0.791652575882290, d169 = 0.791681530603887, d170 = 0.791705585731064, d171 = 0.791726671693667, d172 = 0.791755932508467, d173 = 0.791769988581835, d174 = 0.791773485446347, d175 = 0.791799917664230, d176 = 0.791820857571963, d177 = 0.791839069524541, d178 = 0.791841867773154, d179 = 0.791872314900202, d180 = 0.791904205559133, d181 = 0.791911927712939, d182 = 0.791918127719661, d183 = 0.791950291292448, d184 = 0.791971852889353, d185 = 0.791959958047713, d186 = 0.792044169092004, d187 = 0.792060508466751, d188 = 0.792072015905158, d189 = 0.792076668613727, d190 = 0.792045498822415, d191 = 0.792107922042875, d192 = 0.792118543359965, d193 = 0.792268880901023, d194 = 0.792283188223824, d195 = 0.792270929606987, d196 = 0.792291870583733, d197 = 0.792294749553419, d198 = 0.792311379195523, d199 = 0.792329661975809, d200 = 0.792344284792742, d201 = 0.792372563845026, d202 = 0.792387795917888, d203 = 0.792419178213453, d204 = 0.792437792496388, d205 = 0.792440368117893, d206 = 0.792449875750885, d207 = 0.792503812210899, d208 = 0.792602091302769, d209 = 0.792715082862171, d210 = 0.792807924186782, d211 = 0.792805163847577, d212 = 0.792851983481083, d213 = 0.792777852659997, d214 = 0.792818450629583, d215 = 0.792747710957083, d216 = 0.792827352020998, d217 = 0.792804871752551, d218 = 0.792815012585148, d219 = 0.792873813663762, d220 = 0.792889104077305, d221 = 0.792905809967251, d222 = 0.792929574772256, d223 = 0.792949348915273, d224 = 0.792965266439606, d225 = 0.793008907505097, d226 = 0.793055572946032, d227 = 0.793108262872117, d228 = 0.793110057415915, d229 = 0.793147042866951, d230 = 0.793167404958551, d231 = 0.793187597792435, d232 = 0.793209907620359, d233 = 0.793260868590433, d234 = 0.793282196715117, d235 = 0.793298995413534, d236 = 0.793358021869681, d237 = 0.793370887891520, d238 = 0.793414854711198, d239 = 0.793456565620331, d240 = 0.793462627653139, d241 = 0.793496905999353, d242 = 0.793505523343622, d243 = 0.793542102312848, d244 = 0.793568845518912, d245 = 0.793597916097303, d246 = 0.793628023034973, d247 = 0.793649323039012, d248 = 0.793681301872332, d249 = 0.793722699839788, d250 = 0.793763322170888, d251 = 0.793791622120705, d252 = 0.793816963157730, d253 = 0.793843191786750, d254 = 0.793872688465102, d255 = 0.793895213730916, d256 = 0.793941381331644, d257 = 0.793970173429692, d258 = 0.794000893450199, d259 = 0.794040629652591, d260 = 0.794098899598254, d261 = 0.794119476138170, d262 = 0.794182352977689, d263 = 0.794234546360595, d264 = 0.794229032247639, d265 = 0.794282229699542, d266 = 0.794337851122724, d267 = 0.794362668655473, d268 = 0.794479717912952, d269 = 0.794529945726001, d270 = 0.794596206836778, d271 = 0.794632536265818, d272 = 0.794705429347365, d273 = 0.794681930857236, d274 = 0.794752397734905, d275 = 0.794792906278944, d276 = 0.794878731906822, d277 = 0.795005958422636, d278 = 0.795060141085609, d279 = 0.795190801696358, d280 = 0.795271933189159, d281 = 0.795331449892832, d282 = 0.795477379718800, d283 = 0.795610295096897, d284 = 0.795843937566805, d285 = 0.795931074475669, d286 = 0.796068512807412, d287 = 0.796323162459570, d288 = 0.796523576766943, d289 = 0.796697689098069, d290 = 0.796991619136055, d291 = 0.797197457568270, d292 = 0.797610226276786, d293 = 0.797928532989616, d294 = 0.798339922394113, d295 = 0.798905500889889, d296 = 0.799517714094241, d297 = 0.800348041521709, d298 = 0.801425127795682, d299 = 0.803092572187407, d300 = 0.806475379342975, d301 = 0.805686926385884, d302 = 0.801590958364578, d303 = 0.799718193290647, d304 = 0.798558253107021, d305 = 0.798075190115867, d306 = 0.798114677237558, d307 = 0.798604115774917, d308 = 0.799743218441169, d309 = 0.802051118414132, d310 = 0.807761064139917, d311 = 0.806129358380789, d312 = 0.799127992868549, d313 = 0.795402502895442, d314 = 0.792833417304312, d315 = 0.790825456765738, d316 = 0.789237435435873, d317 = 0.787914324109050, d318 = 0.786742984095603, d319 = 0.785726692466007, d320 = 0.784879636610535, d321 = 0.784094586386722, d322 = 0.783494503342759, d323 = 0.782928761610780, d324 = 0.782456182522684, d325 = 0.782095327384376, d326 = 0.781813309133857, d327 = 0.781493677570351, d328 = 0.781344400470571, d329 = 0.781317053250082, d330 = 0.781347833126713, d331 = 0.781544879466020, d332 = 0.781990365323905, d333 = 0.782252837265405, d334 = 0.783078115081628, d335 = 0.784388983659050, d336 = 0.785135119398390, d337 = 0.785588562364270, d338 = 0.785939873655480, d339 = 0.786204238319542, d340 = 0.786535331817784, d341 = 0.786857196261121, d342 = 0.787090542841910, d343 = 0.787284632910225, d344 = 0.787502749524989, d345 = 0.787694963483767, d346 = 0.787873942493677, d347 = 0.788011470694711, d348 = 0.788139901257572, d349 = 0.788223901954617, d350 = 0.788354017259557, d351 = 0.788565201641267, d352 = 0.788709120814171, d353 = 0.788791205343112, d354 = 0.788889936033879, d355 = 0.788999585829852, d356 = 0.789097158211909, d357 = 0.789199887828614, d358 = 0.789290849205428, d359 = 0.789413338523475, d360 = 0.789454682988035, d361 = 0.789548170253661, d362 = 0.789593433321740, d363 = 0.789693526824520, d364 = 0.789697317691730, d365 = 0.789764360593171, d366 = 0.789774814539902, d367 = 0.789817688787810, d368 = 0.789792252192557, d369 = 0.789816733405670, d370 = 0.789822303823806, d371 = 0.789811727259901, d372 = 0.789798039697359, d373 = 0.789812926034536, d374 = 0.789795277580713, d375 = 0.789758586535809, d376 = 0.789779931224906, d377 = 0.789687226482211, d378 = 0.789680074528749, d379 = 0.789645713670855, d380 = 0.789585301055329, d381 = 0.789524829530192, d382 = 0.789444383710698, d383 = 0.789355255871184, d384 = 0.789250595779228, d385 = 0.789103101902602, d386 = 0.788947656508560, d387 = 0.788764994959664, d388 = 0.788545846463978, d389 = 0.788290596601323, d390 = 0.787988403987385, d391 = 0.787625831426555, d392 = 0.787183389041955, d393 = 0.786631378408197, d394 = 0.785922070267712, d395 = 0.784973450329639, d396 = 0.783631576853021, d397 = 0.781569727963948, d398 = 0.777954362182204, d399 = 0.769881815475982, d400 = 0.737683006268426, y000 = 1.69023069423400, y001 = 1.62455004938005, y002 = 1.60400691427448, y003 = 1.59374507362384, y004 = 1.58739065526372, y005 = 1.58292851285127, y006 = 1.57952428074446, y007 = 1.57677070519547, y008 = 1.57444556939989, y009 = 1.57241834643895, y010 = 1.57060466311460, y011 = 1.56895032673690, y012 = 1.56741998541706, y013 = 1.56598348343700, y014 = 1.56462349022195, y015 = 1.56332531960606, y016 = 1.56207725583259, y017 = 1.56086642851363, y018 = 1.55969722035216, y019 = 1.55855788286864, y020 = 1.55745188656436, y021 = 1.55638570641239, y022 = 1.55528462446397, y023 = 1.55421905033814, y024 = 1.55318764446397, y025 = 1.55213468181519, y026 = 1.55113576643217, y027 = 1.55011416521470, y028 = 1.54911054412942, y029 = 1.54815575459570, y030 = 1.54715785448177, y031 = 1.54615472793709, y032 = 1.54518383791521, y033 = 1.54424768835177, y034 = 1.54324227742403, y035 = 1.54234694571695, y036 = 1.54139048590958, y037 = 1.54036349157331, y038 = 1.53942606099970, y039 = 1.53850611740410, y040 = 1.53758211330524, y041 = 1.53663231603874, y042 = 1.53567473396147, y043 = 1.53474740944525, y044 = 1.53383628504159, y045 = 1.53290791051452, y046 = 1.53193597506582, y047 = 1.53097247735348, y048 = 1.53007947174410, y049 = 1.52921326776155, y050 = 1.52829122078524, y051 = 1.52732628923990, y052 = 1.52638520287850, y053 = 1.52548995167752, y054 = 1.52460185683743, y055 = 1.52367934400504, y056 = 1.52272064414103, y057 = 1.52175370842803, y058 = 1.52080554543028, y059 = 1.51988672280489, y060 = 1.51899317809219, y061 = 1.51811206508329, y062 = 1.51722669532213, y063 = 1.51632319375487, y064 = 1.51539760387290, y065 = 1.51445385864991, y066 = 1.51350205634529, y067 = 1.51256240577687, y068 = 1.51163966424080, y069 = 1.51072824778596, y070 = 1.50983026201848, y071 = 1.50894019283810, y072 = 1.50804852916552, y073 = 1.50714954352910, y074 = 1.50624233439480, y075 = 1.50532166311959, y076 = 1.50438837369760, y077 = 1.50344868182692, y078 = 1.50250413742004, y079 = 1.50155438484455, y080 = 1.50061111550708, y081 = 1.49966290602101, y082 = 1.49872208677004, y083 = 1.49778405893135, y084 = 1.49684738117661, y085 = 1.49591379460913, y086 = 1.49500369116096, y087 = 1.49411014904144, y088 = 1.49320289646788, y089 = 1.49228728756036, y090 = 1.49136639333176, y091 = 1.49043350551286, y092 = 1.48949439365206, y093 = 1.48855672627077, y094 = 1.48762249705484, y095 = 1.48668287122363, y096 = 1.48573603360973, y097 = 1.48479716948175, y098 = 1.48385423195458, y099 = 1.48290613168865, y100 = 1.48195144273511, y101 = 1.48100686668773, y102 = 1.48007375532431, y103 = 1.47914584438492, y104 = 1.47821203143075, y105 = 1.47727524097476, y106 = 1.47633781840343, y107 = 1.47539774470531, y108 = 1.47444989407476, y109 = 1.47350214485761, y110 = 1.47255397039732, y111 = 1.47160290559978, y112 = 1.47064816455087, y113 = 1.46968455313681, y114 = 1.46872356632650, y115 = 1.46775875569118, y116 = 1.46679172086192, y117 = 1.46582679038837, y118 = 1.46486134485373, y119 = 1.46389398302850, y120 = 1.46292604304743, y121 = 1.46195766116997, y122 = 1.46098325517154, y123 = 1.46000988028550, y124 = 1.45904135837799, y125 = 1.45806397951445, y126 = 1.45708429300325, y127 = 1.45610949501906, y128 = 1.45512955281089, y129 = 1.45415034435929, y130 = 1.45317130894650, y131 = 1.45218723577551, y132 = 1.45120921016084, y133 = 1.45023660513559, y134 = 1.44925790846765, y135 = 1.44827452602227, y136 = 1.44729401358185, y137 = 1.44631441557081, y138 = 1.44533475910547, y139 = 1.44435326077105, y140 = 1.44337262630497, y141 = 1.44238923183468, y142 = 1.44138687181353, y143 = 1.44037722792601, y144 = 1.43937130430037, y145 = 1.43836112326571, y146 = 1.43734551499930, y147 = 1.43632592253958, y148 = 1.43530445365877, y149 = 1.43428440511815, y150 = 1.43326073657045, y151 = 1.43223237738178, y152 = 1.43120219563568, y153 = 1.43017056722903, y154 = 1.42913500945273, y155 = 1.42809848699969, y156 = 1.42705980716549, y157 = 1.42601296229365, y158 = 1.42497002762017, y159 = 1.42391751640534, y160 = 1.42286378334997, y161 = 1.42180845123424, y162 = 1.42075221289650, y163 = 1.41969259797522, y164 = 1.41863622504473, y165 = 1.41757975071816, y166 = 1.41652026411928, y167 = 1.41546169961557, y168 = 1.41440731668504, y169 = 1.41335500595142, y170 = 1.41229595970287, y171 = 1.41122938195557, y172 = 1.41016135842530, y173 = 1.40910187105844, y174 = 1.40804334236298, y175 = 1.40697684526922, y176 = 1.40589036430923, y177 = 1.40479740832868, y178 = 1.40371136180671, y179 = 1.40263861368490, y180 = 1.40156823852415, y181 = 1.40047640032889, y182 = 1.39937471217536, y183 = 1.39827654330017, y184 = 1.39717732286848, y185 = 1.39606434711755, y186 = 1.39494976250337, y187 = 1.39383595346982, y188 = 1.39270948469850, y189 = 1.39158901891478, y190 = 1.39044286004092, y191 = 1.38927010227183, y192 = 1.38812124953619, y193 = 1.38699376419828, y194 = 1.38584946864496, y195 = 1.38460750024442, y196 = 1.38345630885743, y197 = 1.38230819525553, y198 = 1.38109020810852, y199 = 1.37989697827404, y200 = 1.37879885454645, y201 = 1.37778116778463, y202 = 1.37685381956439, y203 = 1.37546461323240, y204 = 1.37429934635307, y205 = 1.37300695657666, y206 = 1.37195505691831, y207 = 1.37066365990589, y208 = 1.36944388149521, y209 = 1.36827355010201, y210 = 1.36699349477737, y211 = 1.36584528105864, y212 = 1.36464149481598, y213 = 1.36337201545967, y214 = 1.36220502971266, y215 = 1.36090659721179, y216 = 1.35966708000508, y217 = 1.35846414289372, y218 = 1.35720937903662, y219 = 1.35594853065897, y220 = 1.35469589327700, y221 = 1.35345435177714, y222 = 1.35221131870490, y223 = 1.35095633256000, y224 = 1.34968141236210, y225 = 1.34839185740310, y226 = 1.34709003543060, y227 = 1.34579458140551, y228 = 1.34451280507822, y229 = 1.34321131814912, y230 = 1.34189924831620, y231 = 1.34058066495648, y232 = 1.33924458215962, y233 = 1.33791911078104, y234 = 1.33659918222121, y235 = 1.33525202635967, y236 = 1.33390125392055, y237 = 1.33255555164236, y238 = 1.33119162191370, y239 = 1.32981771757272, y240 = 1.32843987470807, y241 = 1.32706367610514, y242 = 1.32568223570193, y243 = 1.32428684012355, y244 = 1.32288707576901, y245 = 1.32148264793237, y246 = 1.32007069703981, y247 = 1.31865145971695, y248 = 1.31722939617775, y249 = 1.31580907557166, y250 = 1.31437048262285, y251 = 1.31291189634630, y252 = 1.31145132142190, y253 = 1.30998568147065, y254 = 1.30851442393275, y255 = 1.30704429750855, y256 = 1.30556930466000, y257 = 1.30409100292451, y258 = 1.30260297436042, y259 = 1.30109096810330, y260 = 1.29958196698137, y261 = 1.29806888254762, y262 = 1.29653563495698, y263 = 1.29500008961817, y264 = 1.29344329140392, y265 = 1.29187355205131, y266 = 1.29029684918027, y267 = 1.28870675277403, y268 = 1.28715913684138, y269 = 1.28560772702805, y270 = 1.28399610667968, y271 = 1.28235397949116, y272 = 1.28070989495237, y273 = 1.27907932545012, y274 = 1.27745563853258, y275 = 1.27582119358403, y276 = 1.27416049451734, y277 = 1.27249793216858, y278 = 1.27082689116969, y279 = 1.26912591904060, y280 = 1.26740765152167, y281 = 1.26569812116883, y282 = 1.26402393446382, y283 = 1.26232550735075, y284 = 1.26060300489580, y285 = 1.25886840499372, y286 = 1.25708230816383, y287 = 1.25529542561445, y288 = 1.25356558602632, y289 = 1.25175119416691, y290 = 1.24993367329744, y291 = 1.24809972447182, y292 = 1.24626206342803, y293 = 1.24448934430509, y294 = 1.24258067005925, y295 = 1.24065520032899, y296 = 1.23875988537964, y297 = 1.23677307966878, y298 = 1.23479504322677, y299 = 1.23282874830567, y300 = 1.23064176788205, y301 = 1.20000000000000, y302 = 1.20000000000000, y303 = 1.20000000000000, y304 = 1.20000000000000, y305 = 1.20000000000000, y306 = 1.20000000000000, y307 = 1.20000000000000, y308 = 1.20000000000000, y309 = 1.20000000000000, y310 = 1.20000000000000, y311 = 1.15000000000000, y312 = 1.15000000000000, y313 = 1.15000000000000, y314 = 1.15000000000000, y315 = 1.15000000000000, y316 = 1.15000000000000, y317 = 1.15000000000000, y318 = 1.15000000000000, y319 = 1.15000000000000, y320 = 1.15000000000000, y321 = 1.15000000000000, y322 = 1.15000000000000, y323 = 1.15000000000000, y324 = 1.15000000000000, y325 = 1.15000000000000, y326 = 1.15000000000000, y327 = 1.15000000000000, y328 = 1.15000000000000, y329 = 1.15000000000000, y330 = 1.15000000000000, y331 = 1.15000000000000, y332 = 1.15000000000000, y333 = 1.15000000000000, y334 = 1.15000000000000, y335 = 1.14782735167629, y336 = 1.14438195923384, y337 = 1.14141122590653, y338 = 1.13836713572325, y339 = 1.13561839708446, y340 = 1.13262287660965, y341 = 1.12954686276879, y342 = 1.12637698087925, y343 = 1.12307976558408, y344 = 1.11980164881789, y345 = 1.11647437597681, y346 = 1.11311756113446, y347 = 1.10969163483492, y348 = 1.10613215331025, y349 = 1.10246797269616, y350 = 1.09871704153605, y351 = 1.09503893138805, y352 = 1.09129670119931, y353 = 1.08749401988531, y354 = 1.08351024238747, y355 = 1.07945079156533, y356 = 1.07539039504950, y357 = 1.07120108500079, y358 = 1.06684681821274, y359 = 1.06244250625175, y360 = 1.05792710236222, y361 = 1.05325595368345, y362 = 1.04847823459137, y363 = 1.04358352952063, y364 = 1.03858918205244, y365 = 1.03342530246570, y366 = 1.02816195791685, y367 = 1.02277421424206, y368 = 1.01719102716350, y369 = 1.01144885061720, y370 = 1.00555649760672, y371 = 0.999449580767251, y372 = 0.993110605297436, y373 = 0.986584879930530, y374 = 0.979849692030490, y375 = 0.972816222777174, y376 = 0.965534135149804, y377 = 0.957946011518901, y378 = 0.949997126991055, y379 = 0.941765798667758, y380 = 0.933173711566736, y381 = 0.924138582963254, y382 = 0.914605231584120, y383 = 0.904544579659801, y384 = 0.893934046934674, y385 = 0.882678431262935, y386 = 0.870678558696682, y387 = 0.857856503421516, y388 = 0.844076539942270, y389 = 0.829171066954270, y390 = 0.812937347248965, y391 = 0.795109257314135, y392 = 0.775331216586942, y393 = 0.753113508356034, y394 = 0.727755357795638, y395 = 0.698203598954909, y396 = 0.662769378804772, y397 = 0.618489072164887, y398 = 0.559414586590008, y399 = 0.470606252425955, y400 = 0.292466938788897]] III. Adresses of the authors : - Laurent Habsieger : habsieger@math.univ-lyon1.fr Université de Lyon, CNRS UMR 5208, Université Claude Bernard Lyon 1, Institut Camille Jordan, 43 boulevard du 11 novembre 1918, 69622 Villeurbanne Cedex, France - Alain Plagne : plagne@math.polytechnique.fr Centre de Mathématiques Laurent Schwartz, Ecole polytechnique, CNRS, Université Paris-Saclay, 91128 Palaiseau Cedex, France