params1={b1->0.1500000, b2->0.1500000, b3->0.1500000, e3->0.2000000, e4->0.2500000, e5->0.2500000}

paytot1 = 0.469981384897232

soln1 = {a1f2->0.016056687687516, a1f3->0.015796326031635, a2f1->0.060962576602697, a2f3->0.063438924005685, a3f1->0.050914472133274, a3f2->0.054352316350181, d1->1.053461773009583, d2->0.619023993243546, d3->0.690988423085396, a12->0.291771399999789, a13->0.299625868337499, a21->0.373770316242489, a23->0.359323975145467, a31->0.349688832173338, a32->0.340081515368878, af12->0.288871317114803, af13->0.294323309822365, af21->0.320151673994006, af23->0.264947507844914, af31->0.333775377770962, af32->0.259536111601694, u2b12r3->0.086712854630332, u2b1r23->0.264180909738465, u3b12r3->0.302405804091699, u3b1r23->0.146230093761392, u2b13r2->0.263206886450374, u2b1r32->0.102016600364250, u3b13r2->0.134441742894088, u3b1r32->0.297235040687686, u1b21r3->0.262249869475793, u1b2r13->0.363617708787944, u3b21r3->0.252740815243475, u3b2r13->0.121984096221778, u1b23r1->0.348706882062208, u1b2r31->0.264214089698809, u3b23r1->0.138838391208581, u3b2r31->0.251165319942751, u1b32r1->0.362046186971446, u1b3r21->0.263635676341924, u2b32r1->0.093931716597919, u2b3r21->0.234459721214248, u1b31r2->0.255600515187282, u1b3r12->0.364611349061520, u2b31r2->0.235084639271043, u2b3r12->0.091079277451365} 

params2={b1->0.1500000, b2->0.1500000, b3->0.2000000, e3->0.2000000, e4->0.2500000, e5->0.2500000}

paytot2 = 0.090485352574341

soln2 = {a1f2->0.005168490989908, a1f3->0.005174306961912, a2f1->0.004937642667097, a2f3->0.004953522066770, a3f1->0.003749253081321, a3f2->0.003761705646095, d1->1.487353584591760, d2->1.495672718700580, d3->1.550938356731058, a12->0.399150598319382, a13->0.407828869721369, a21->0.398053160904765, a23->0.406531349172169, a31->0.408398214357275, a32->0.408115633615793, af12->0.351800514139559, af13->0.374823659524813, af21->0.354748520906077, af23->0.378219123880570, af31->0.373826393012013, af32->0.372376187280408, u2b12r3->0.484753774523217, u2b1r23->0.119831050617557, u3b12r3->0.123876851972558, u3b1r23->0.495388156945511, u2b13r2->0.123367084943414, u2b1r32->0.491301191316010, u3b13r2->0.485361313720891, u3b1r32->0.123031479731552, u1b21r3->0.483626629904328, u1b2r13->0.123978428523604, u3b21r3->0.124549657402120, u3b2r13->0.490645608221912, u1b23r1->0.126398602873084, u1b2r31->0.492206368129108, u3b23r1->0.481235283055302, u3b2r31->0.121945267644015, u1b32r1->0.123234564813611, u1b3r21->0.495170897497697, u2b32r1->0.487460645800757, u2b3r21->0.123403013202150, u1b31r2->0.487156106698134, u1b3r12->0.126527834652391, u2b31r2->0.122669601136450, u2b3r12->0.492618342452296} 

params3={b1->0.1500000, b2->0.1500000, b3->0.2500000, e3->0.2000000, e4->0.2500000, e5->0.2500000}

paytot3 = 0.438232673802881

soln3 = {a1f2->0.045842505254376, a1f3->0.051570815338387, a2f1->0.022302494086163, a2f3->0.024041341671262, a3f1->0.041206133429729, a3f2->0.041803048260215, d1->0.724730190645956, d2->0.952531813023807, d3->0.795331300954963, a12->0.330342609414796, a13->0.358494786404675, a21->0.294095769899633, a23->0.338638583429104, a31->0.347462125591797, a32->0.354687766690020, af12->0.248400990936887, af13->0.293098626809237, af21->0.227978872955935, af23->0.321899886014284, af31->0.295437803683410, af32->0.326848655493615, u2b12r3->0.211955241501735, u2b1r23->0.294632777065362, u3b12r3->0.281664770811603, u3b1r23->0.202055728917875, u2b13r2->0.299436842164308, u2b1r32->0.247436872540947, u3b13r2->0.190243100832774, u3b1r32->0.260093870935207, u1b21r3->0.121607334980350, u1b2r13->0.259472782570104, u3b21r3->0.307680494576540, u3b2r13->0.199700912181893, u1b23r1->0.257161837246248, u1b2r31->0.173582411274978, u3b23r1->0.194895083370607, u3b2r31->0.279965627757835, u1b32r1->0.247030966442830, u1b3r21->0.135972030585748, u2b32r1->0.239324612907560, u2b3r21->0.328741032852231, u1b31r2->0.162793485639460, u1b3r12->0.260998644197558, u2b31r2->0.307304378377320, u2b3r12->0.227085600909465} 

params4={b1->0.1500000, b2->0.2000000, b3->0.1500000, e3->0.2000000, e4->0.2500000, e5->0.2500000}

paytot4 = 0.464818348916251

soln4 = {a1f2->0.037498586423643, a1f3->0.035715407579892, a2f1->0.058670272619982, a2f3->0.058408180878053, a3f1->0.031779374795609, a3f2->0.032204025647384, d1->0.819459502334093, d2->0.650018118702124, d3->0.855506789309163, a12->0.331638946569843, a13->0.320733866033079, a21->0.363029428931839, a23->0.353160667526876, a31->0.311982667617563, a32->0.324654819644840, af12->0.278580291055335, af13->0.288375241769625, af21->0.293008421294600, af23->0.291764847173756, af31->0.289991380833047, af32->0.282693959774642, u2b12r3->0.114214197592556, u2b1r23->0.252064595117329, u3b12r3->0.323911178032265, u3b1r23->0.205519529353740, u2b13r2->0.258011576572040, u2b1r32->0.118859058356899, u3b13r2->0.191221847859460, u3b1r32->0.323009898163354, u1b21r3->0.200843793456217, u1b2r13->0.298715039366249, u3b21r3->0.298272102279062, u3b2r13->0.202868486270303, u1b23r1->0.293754113359725, u1b2r31->0.194800594413853, u3b23r1->0.202381373215768, u3b2r31->0.304766007622394, u1b32r1->0.317436108073519, u1b3r21->0.197692000171113, u2b32r1->0.109034155249492, u2b3r21->0.255453540002567, u1b31r2->0.173320113251215, u1b3r12->0.321927826856529, u2b31r2->0.266635215061440, u2b3r12->0.116334296256563} 

params5={b1->0.1500000, b2->0.2000000, b3->0.2000000, e3->0.2000000, e4->0.2500000, e5->0.2500000}

paytot5 = 0.030000342506758

soln5 = {a1f2->0.000643658156820, a1f3->0.000646035662796, a2f1->0.001275273509373, a2f3->0.001284819715668, a3f1->0.002304110510635, a3f2->0.002421233387231, d1->1.943833504165257, d2->1.816820877914829, d3->1.689492828669976, a12->0.423809317983607, a13->0.419329129081353, a21->0.406591390727877, a23->0.439957651378465, a31->0.408897277439381, a32->0.435076835463966, af12->0.383192987577970, af13->0.344602165941004, af21->0.364422439016057, af23->0.392119987645836, af31->0.359697977118425, af32->0.403764540818536, u2b12r3->0.549375004813191, u2b1r23->0.102651519907288, u3b12r3->0.095456750527786, u3b1r23->0.540952509332831, u2b13r2->0.097276548529816, u2b1r32->0.534154747437214, u3b13r2->0.532820530632612, u3b1r32->0.103141873148525, u1b21r3->0.537840742562936, u1b2r13->0.109496820386028, u3b21r3->0.099835695429316, u3b2r13->0.534129784780754, u1b23r1->0.093952432563060, u1b2r31->0.533571189673091, u3b23r1->0.536196239066289, u3b2r31->0.108128115707937, u1b32r1->0.092067736954106, u1b3r21->0.525223928712157, u2b32r1->0.542396945806511, u2b3r21->0.107065925840453, u1b31r2->0.530757644702024, u1b3r12->0.106895542921834, u2b31r2->0.103081783291189, u2b3r12->0.526846504687072} 

params6={b1->0.1500000, b2->0.2000000, b3->0.2500000, e3->0.2000000, e4->0.2500000, e5->0.2500000}

paytot6 = 0.094296849196311

soln6 = {a1f2->0.005216694534807, a1f3->0.005237271514819, a2f1->0.004784680836600, a2f3->0.004876567415184, a3f1->0.004460207757816, a3f2->0.004495463621253, d1->1.480487322618699, d2->1.497548816753590, d3->1.512656294044249, a12->0.388009552704082, a13->0.396813470307428, a21->0.387034268637549, a23->0.405408207933994, a31->0.397174498853562, a32->0.410307998896175, af12->0.326959808108884, af13->0.352584656242477, af21->0.327544411518178, af23->0.376264596289831, af31->0.350479350076908, af32->0.374114920220593, u2b12r3->0.481462385779783, u2b1r23->0.122398693199045, u3b12r3->0.128327616336270, u3b1r23->0.490056900759050, u2b13r2->0.129074347806752, u2b1r32->0.489346856108946, u3b13r2->0.478272399680035, u3b1r32->0.125171565654437, u1b21r3->0.479499644649970, u1b2r13->0.126019110771092, u3b21r3->0.129192538830071, u3b2r13->0.491030548569630, u1b23r1->0.125771814881871, u1b2r31->0.488191708051138, u3b23r1->0.482291485739484, u3b2r31->0.126820516931046, u1b32r1->0.123894503480169, u1b3r21->0.489720854574236, u2b32r1->0.485324870383781, u2b3r21->0.129128438121361, u1b31r2->0.482667853075937, u1b3r12->0.131340575966257, u2b31r2->0.126209256224011, u2b3r12->0.487158282523590} 

params7={b1->0.1500000, b2->0.2500000, b3->0.1500000, e3->0.2000000, e4->0.2500000, e5->0.2500000}

paytot7 = 0.441138727793597

soln7 = {a1f2->0.035397701151152, a1f3->0.033398521025064, a2f1->0.044361079876313, a2f3->0.044554103468085, a3f1->0.034516337805122, a3f2->0.037112170187964, d1->0.840408043822651, d2->0.765943590167309, d3->0.828949370757776, a12->0.342023311294368, a13->0.313418892741583, a21->0.354686925784742, a23->0.355850632077368, a31->0.319587361009647, a32->0.343897292847502, af12->0.299196223122642, af13->0.248622066806716, af21->0.303296472772228, af23->0.305774504079873, af31->0.246651343186677, af32->0.298966378004006, u2b12r3->0.176949413740306, u2b1r23->0.265491947715753, u3b12r3->0.286032710602167, u3b1r23->0.210003706608397, u2b13r2->0.284026290324001, u2b1r32->0.183508417783534, u3b13r2->0.176635424017731, u3b1r32->0.285548332378129, u1b21r3->0.208294532961494, u1b2r13->0.295714900905659, u3b21r3->0.275219005832196, u3b2r13->0.187304668947591, u1b23r1->0.278709379572681, u1b2r31->0.190830564721773, u3b23r1->0.204074973364104, u3b2r31->0.294574747764858, u1b32r1->0.286210985709768, u1b3r21->0.209949260752169, u2b32r1->0.177943296873989, u2b3r21->0.267182955335224, u1b31r2->0.183965527369061, u1b3r12->0.289043976563947, u2b31r2->0.279080065947522, u2b3r12->0.182583783114644} 

params8={b1->0.1500000, b2->0.2500000, b3->0.2000000, e3->0.2000000, e4->0.2500000, e5->0.2500000}

paytot8 = 0.096147923555935

soln8 = {a1f2->0.005679586347509, a1f3->0.005650033896801, a2f1->0.004308680339114, a2f3->0.004330765995242, a3f1->0.004836514969541, a3f2->0.004897996217677, d1->1.463498553678303, d2->1.518208643346365, d3->1.494540081243582, a12->0.396749329545613, a13->0.387894836441810, a21->0.398489967208079, a23->0.409017751924845, a31->0.387232137069752, a32->0.405538031822277, af12->0.352464022016157, af13->0.327405776080285, af21->0.349858923525595, af23->0.372384134622133, af31->0.326880249074350, af32->0.374776499112313, u2b12r3->0.478595162444497, u2b1r23->0.125160994345784, u3b12r3->0.128339417515931, u3b1r23->0.487333805059055, u2b13r2->0.129162974500176, u2b1r32->0.487279044600833, u3b13r2->0.479838526548519, u3b1r32->0.123603403510017, u1b21r3->0.481364908556620, u1b2r13->0.132394177701078, u3b21r3->0.126501843617045, u3b2r13->0.486618353619036, u1b23r1->0.124821959714848, u1b2r31->0.488806561568374, u3b23r1->0.483305655308987, u3b2r31->0.129794880296405, u1b32r1->0.126401538145780, u1b3r21->0.487804780862794, u2b32r1->0.480946267878712, u2b3r21->0.127215235647370, u1b31r2->0.478508563326384, u1b3r12->0.127811076276394, u2b31r2->0.129381012040102, u2b3r12->0.487716916691582} 

params9={b1->0.1500000, b2->0.2500000, b3->0.2500000, e3->0.2000000, e4->0.2500000, e5->0.2500000}

paytot9 = 0.448555242307806

soln9 = {a1f2->0.025254273994838, a1f3->0.024405934256880, a2f1->0.040866447759981, a2f3->0.043688245371800, a3f1->0.050537902836576, a3f2->0.055643290593119, d1->0.926923772635937, d2->0.774926545504465, d3->0.687409657044606, a12->0.298360394440607, a13->0.290035226232625, a21->0.323611420323114, a23->0.339268526989226, a31->0.330739958972690, a32->0.355251075687742, af12->0.251148599133828, af13->0.224452546511108, af21->0.265235499553934, af23->0.281886494347030, af31->0.236107253621503, af32->0.287729530881117, u2b12r3->0.155056653526335, u2b1r23->0.289624979103837, u3b12r3->0.278041306793996, u3b1r23->0.152176785022131, u2b13r2->0.315026319781340, u2b1r32->0.191797955519906, u3b13r2->0.105102670860486, u3b1r32->0.258123908853682, u1b21r3->0.213506818460605, u1b2r13->0.342276342575762, u3b21r3->0.261507856410421, u3b2r13->0.112137192724820, u1b23r1->0.320693121080818, u1b2r31->0.219134747427250, u3b23r1->0.136041883426216, u3b2r31->0.263399234182997, u1b32r1->0.309160717210209, u1b3r21->0.225536912738176, u2b32r1->0.178268809650660, u2b3r21->0.279985822201409, u1b31r2->0.203190150572671, u1b3r12->0.324135800766876, u2b31r2->0.285869922722879, u2b3r12->0.165659950503782} 

params10={b1->0.2000000, b2->0.1500000, b3->0.1500000, e3->0.2000000, e4->0.2500000, e5->0.2500000}

paytot10 = 0.456985102157217

soln10 = {a1f2->0.038947872573237, a1f3->0.038784301678324, a2f1->0.052297106748339, a2f3->0.048563548548696, a3f1->0.034091578150884, a3f2->0.033175569373890, d1->0.803978467361468, d2->0.705818557797340, d3->0.846098051195903, a12->0.339469610262055, a13->0.341842676956303, a21->0.356182371651174, a23->0.341915757669787, a31->0.334025045919747, a32->0.310996093194269, af12->0.291192867652687, af13->0.314992484235286, af21->0.290092821550526, af23->0.269614617539393, af31->0.311694449213861, af32->0.253265322278367, u2b12r3->0.148770354967054, u2b1r23->0.269218948890879, u3b12r3->0.304768797020238, u3b1r23->0.199479815720171, u2b13r2->0.262233134462388, u2b1r32->0.132647418755906, u3b13r2->0.201253623119090, u3b1r32->0.320073258054260, u1b21r3->0.192062351938448, u1b2r13->0.282002809856413, u3b21r3->0.291000273486880, u3b2r13->0.211665712598300, u1b23r1->0.290213857198182, u1b2r31->0.193526171664391, u3b23r1->0.193899300335425, u3b2r31->0.295712806318978, u1b32r1->0.313234264460117, u1b3r21->0.190651414477785, u2b32r1->0.122012299288596, u2b3r21->0.268309382908488, u1b31r2->0.186923412955987, u1b3r12->0.299167573475040, u2b31r2->0.266439744220011, u2b3r12->0.152028012308588} 

params11={b1->0.2000000, b2->0.1500000, b3->0.2000000, e3->0.2000000, e4->0.2500000, e5->0.2500000}

paytot11 = 0.468232408175579

soln11 = {a1f2->0.042746096883473, a1f3->0.041024430167207, a2f1->0.046209331152068, a2f3->0.046281243017498, a3f1->0.043809545093721, a3f2->0.040412811092702, d1->0.772681823931677, d2->0.726030453508712, d3->0.769872379834516, a12->0.318585512467689, a13->0.343331485741805, a21->0.341202719682750, a23->0.321786570312457, a31->0.328299481159421, a32->0.313069792440529, af12->0.251243389704456, af13->0.305693436106397, af21->0.270281276517375, af23->0.255671420678988, af31->0.291151912690107, af32->0.257701858083062, u2b12r3->0.135290576481837, u2b1r23->0.295232070866909, u3b12r3->0.307156020854703, u3b1r23->0.161017065863061, u2b13r2->0.276186503772754, u2b1r32->0.143548978624209, u3b13r2->0.184667866300729, u3b1r32->0.306967134959970, u1b21r3->0.176391475314964, u1b2r13->0.295980325425008, u3b21r3->0.292838340468028, u3b2r13->0.176106333242271, u1b23r1->0.307666949246704, u1b2r31->0.172617367157009, u3b23r1->0.152682402285725, u3b2r31->0.297504125603008, u1b32r1->0.311806631552867, u1b3r21->0.171299897866072, u2b32r1->0.132971987288313, u2b3r21->0.291661013619601, u1b31r2->0.164476934240482, u1b3r12->0.312539266160804, u2b31r2->0.287748722020596, u2b3r12->0.140891002179899} 

params12={b1->0.2000000, b2->0.1500000, b3->0.2500000, e3->0.2000000, e4->0.2500000, e5->0.2500000}

paytot12 = 0.094841379704135

soln12 = {a1f2->0.005430164068453, a1f3->0.005495338556037, a2f1->0.004624680726671, a2f3->0.004675388681348, a3f1->0.004543752087510, a3f2->0.004493830032035, d1->1.472003806361333, d2->1.502928483766016, d3->1.510674603818680, a12->0.387627220062968, a13->0.408386434031822, a21->0.388565282067153, a23->0.395579065652643, a31->0.406246924533187, a32->0.397804189195417, af12->0.324256674746094, af13->0.375560967298841, af21->0.325685367963736, af23->0.353149286748729, af31->0.372427296828367, af32->0.351117284159693, u2b12r3->0.480357538283658, u2b1r23->0.125473121866060, u3b12r3->0.127869182100452, u3b1r23->0.488262997485678, u2b13r2->0.124380754580846, u2b1r32->0.488793402246794, u3b13r2->0.482117994298249, u3b1r32->0.126355127928923, u1b21r3->0.482080450721737, u1b2r13->0.124583124032356, u3b21r3->0.128299642769110, u3b2r13->0.489926070079524, u1b23r1->0.128583795258439, u1b2r31->0.489789781625709, u3b23r1->0.480558796907445, u3b2r31->0.123437705378028, u1b32r1->0.127951356791111, u1b3r21->0.486848830938400, u2b32r1->0.480351598123884, u2b3r21->0.131502890630976, u1b31r2->0.483155057243491, u1b3r12->0.132545376565516, u2b31r2->0.123900712855607, u2b3r12->0.485615666171245} 

params13={b1->0.2000000, b2->0.2000000, b3->0.1500000, e3->0.2000000, e4->0.2500000, e5->0.2500000}

paytot13 = 0.077408545040960

soln13 = {a1f2->0.004437042754437, a1f3->0.004362016402775, a2f1->0.006174180670165, a2f3->0.006158773465549, a3f1->0.001113858083140, a3f2->0.001120806144560, d1->1.529035089049506, d2->1.463325292465957, d3->1.798221827255794, a12->0.407866359883124, a13->0.398431648374713, a21->0.412870077023752, a23->0.397179665364161, a31->0.400853259641458, a32->0.403998374953928, af12->0.379965478053311, af13->0.348581467766167, af21->0.379898961653812, af23->0.353898229367478, af31->0.350678783827954, af32->0.355114831731216, u2b12r3->0.499790254104731, u2b1r23->0.123279414476291, u3b12r3->0.113213430772263, u3b1r23->0.498441510489072, u2b13r2->0.122509131666801, u2b1r32->0.505127482907211, u3b13r2->0.491393458165993, u3b1r32->0.115440832366201, u1b21r3->0.502028091976040, u1b2r13->0.122950760090425, u3b21r3->0.110118253178318, u3b2r13->0.494817011668656, u1b23r1->0.122256362121926, u1b2r31->0.504418559238064, u3b23r1->0.489187791384841, u3b2r31->0.115300535235187, u1b32r1->0.119537394371817, u1b3r21->0.499179050432270, u2b32r1->0.498593900767065, u2b3r21->0.123594621711995, u1b31r2->0.491684882495272, u1b3r12->0.117160003092910, u2b31r2->0.125439644532770, u2b3r12->0.504937227715377} 

params14={b1->0.2000000, b2->0.2000000, b3->0.2000000, e3->0.2000000, e4->0.2500000, e5->0.2500000}

paytot14 = 0.448996107563712

soln14 = {a1f2->0.047538083463731, a1f3->0.047917431203900, a2f1->0.007164445688731, a2f3->0.007190927198733, a3f1->0.065281459774524, a3f2->0.068956631648074, d1->0.736059247158211, d2->1.237493079309592, d3->0.583434385138018, a12->0.343105869967487, a13->0.310745830016024, a21->0.286953843999411, a23->0.283791412472238, a31->0.351122050072054, a32->0.370305503731726, af12->0.317057372781833, af13->0.202433798366427, af21->0.293503819072903, af23->0.258296911564193, af31->0.227019687374919, af32->0.290047132105036, u2b12r3->0.277448925950330, u2b1r23->0.376216921335440, u3b12r3->0.212652623209503, u3b1r23->0.073242750681438, u2b13r2->0.387595466532690, u2b1r32->0.288183733144393, u3b13r2->0.046275499676464, u3b1r32->0.211187177797693, u1b21r3->0.156713632105642, u1b2r13->0.325456446906144, u3b21r3->0.247606253645590, u3b2r13->0.062300201962769, u1b23r1->0.315739914005240, u1b2r31->0.167383836486285, u3b23r1->0.068515768252144, u3b2r31->0.245867923170423, u1b32r1->0.255945120848684, u1b3r21->0.160895129305938, u2b32r1->0.279338898252228, u2b3r21->0.351822674132337, u1b31r2->0.149484072155966, u1b3r12->0.254578290889780, u2b31r2->0.354715821732751, u2b3r12->0.289410797204576} 

params15={b1->0.2000000, b2->0.2000000, b3->0.2500000, e3->0.2000000, e4->0.2500000, e5->0.2500000}

paytot15 = 0.458305886652637

soln15 = {a1f2->0.052875314773550, a1f3->0.051005083170906, a2f1->0.031629109886738, a2f3->0.031201787807186, a3f1->0.043828854299054, a3f2->0.041821750616511, d1->0.684302904520940, d2->0.859387095147927, d3->0.766995573949535, a12->0.330155251750927, a13->0.343810976190711, a21->0.301221871977050, a23->0.309505095141972, a31->0.310027525050147, a32->0.321494483914445, af12->0.239523556824564, af13->0.259290922041630, af21->0.230969817260899, af23->0.272045276192403, af31->0.235771878322369, af32->0.274589563048054, u2b12r3->0.193556748336122, u2b1r23->0.317192839672566, u3b12r3->0.291494521016546, u3b1r23->0.167066046561748, u2b13r2->0.313762034569397, u2b1r32->0.207670988015645, u3b13r2->0.164592282932401, u3b1r32->0.287335485045180, u1b21r3->0.114132500730820, u1b2r13->0.272068654303342, u3b21r3->0.313761823406256, u3b2r13->0.179819242840646, u1b23r1->0.278171139211834, u1b2r31->0.116822540958441, u3b23r1->0.157576551890883, u3b2r31->0.315099447710041, u1b32r1->0.272565136460087, u1b3r21->0.117935262422121, u2b32r1->0.186427515384397, u2b3r21->0.335187687671221, u1b31r2->0.110507899663955, u1b3r12->0.273655193748272, u2b31r2->0.332833755376001, u2b3r12->0.198238375938405} 

params16={b1->0.2000000, b2->0.2500000, b3->0.1500000, e3->0.2000000, e4->0.2500000, e5->0.2500000}

paytot16 = 0.093768497379125

soln16 = {a1f2->0.005002303190661, a1f3->0.004905785355535, a2f1->0.004130545102311, a2f3->0.004055532383858, a3f1->0.005348027648089, a3f2->0.005457601829612, d1->1.491734253151855, d2->1.531276711835381, d3->1.474210014280363, a12->0.408018583371271, a13->0.387219568859815, a21->0.406149835790477, a23->0.395449842519854, a31->0.387458143093212, a32->0.395325715133125, af12->0.377516421900226, af13->0.322290420628696, af21->0.375087853899771, af23->0.355739087640844, af31->0.325066320391365, af32->0.352852905544675, u2b12r3->0.481854361265258, u2b1r23->0.122396054357939, u3b12r3->0.125959283799704, u3b1r23->0.492924676827950, u2b13r2->0.124876739103656, u2b1r32->0.487344045719831, u3b13r2->0.485140457141275, u3b1r32->0.127648716731430, u1b21r3->0.483050218278839, u1b2r13->0.133779802816279, u3b21r3->0.127693749359308, u3b2r13->0.483744203332743, u1b23r1->0.128097040538632, u1b2r31->0.485130594572994, u3b23r1->0.481409252276571, u3b2r31->0.133305335283104, u1b32r1->0.127744522591817, u1b3r21->0.490840229236662, u2b32r1->0.481544148653941, u2b3r21->0.123732443757607, u1b31r2->0.482701156639525, u1b3r12->0.121717849392659, u2b31r2->0.127323343641672, u2b3r12->0.492771377625559} 

params17={b1->0.2000000, b2->0.2500000, b3->0.2000000, e3->0.2000000, e4->0.2500000, e5->0.2500000}

paytot17 = 0.475175888902280

soln17 = {a1f2->0.035987896728467, a1f3->0.036950544634051, a2f1->0.051684098092804, a2f3->0.050538429051886, a3f1->0.046497581585561, a3f2->0.050720578394882, d1->0.804823371521030, d2->0.690258739798094, d3->0.710894522558540, a12->0.308616566162545, a13->0.291868608229257, a21->0.319648497155467, a23->0.334807991544093, a31->0.317234195067450, a32->0.316738752314523, af12->0.261024955375406, af13->0.225429392445656, af21->0.251034061035035, af23->0.255466938427878, af31->0.234618330505812, af32->0.240423306145085, u2b12r3->0.118299434771453, u2b1r23->0.295241458842344, u3b12r3->0.308178963950921, u3b1r23->0.146129830732129, u2b13r2->0.308975777050878, u2b1r32->0.126109984488867, u3b13r2->0.110468350956938, u3b1r32->0.308819867220002, u1b21r3->0.164158592447057, u1b2r13->0.340201169277774, u3b21r3->0.296000099686656, u3b2r13->0.119161925324690, u1b23r1->0.321402857474283, u1b2r31->0.171995118190316, u3b23r1->0.140283391963991, u3b2r31->0.303002238267437, u1b32r1->0.337001657410278, u1b3r21->0.173278483616428, u2b32r1->0.108778038477788, u2b3r21->0.292342339430990, u1b31r2->0.167181488659118, u1b3r12->0.329355344778763, u2b31r2->0.291069427999098, u2b3r12->0.129319829980680} 

params18={b1->0.2000000, b2->0.2500000, b3->0.2500000, e3->0.2000000, e4->0.2500000, e5->0.2500000}

paytot18 = 0.434744046532252

soln18 = {a1f2->0.039116750751336, a1f3->0.042750653310984, a2f1->0.057266414391706, a2f3->0.065115395387067, a3f1->0.012869008474934, a3f2->0.013014885813515, d1->0.786776859464511, d2->0.629123240816884, d3->1.100928606639558, a12->0.292643246275711, a13->0.326487528854177, a21->0.330306206101757, a23->0.360655675843265, a31->0.298188679689569, a32->0.303412300679238, af12->0.180198159197634, af13->0.280215958196622, af21->0.192957786152627, af23->0.281861913659694, af31->0.277182033462124, af32->0.263840577194762, u2b12r3->0.055886436570795, u2b1r23->0.221215878369126, u3b12r3->0.373306558112102, u3b1r23->0.275154916258326, u2b13r2->0.228021015797906, u2b1r32->0.110558018835396, u3b13r2->0.256522333935051, u3b1r32->0.347011211015183, u1b21r3->0.155205930881900, u1b2r13->0.267429625640384, u3b21r3->0.339574910586251, u3b2r13->0.265841847136528, u1b23r1->0.267150213786822, u1b2r31->0.190131533907218, u3b23r1->0.256285280498592, u3b2r31->0.326422430489393, u1b32r1->0.302984020364657, u1b3r21->0.169703993402361, u2b32r1->0.112082778001750, u2b3r21->0.260855881488117, u1b31r2->0.181164733715893, u1b3r12->0.328480155337057, u2b31r2->0.250360659596526, u2b3r12->0.076272012570458} 

params19={b1->0.2500000, b2->0.1500000, b3->0.1500000, e3->0.2000000, e4->0.2500000, e5->0.2500000}

paytot19 = 0.468772546141705

soln19 = {a1f2->0.036830404830465, a1f3->0.036942430335045, a2f1->0.040254159904794, a2f3->0.036467301159838, a3f1->0.060626197652292, a3f2->0.051931900992526, d1->0.821603703167895, d2->0.796508863152586, d3->0.645462633268958, a12->0.331550045807716, a13->0.324889280181745, a21->0.334074895533632, a23->0.283827957138783, a31->0.356171815287100, a32->0.321970203050244, af12->0.315220520028483, af13->0.284318828881105, af21->0.315144262371754, af23->0.191167214568761, af31->0.293179468881655, af32->0.209822684735044, u2b12r3->0.188756593930090, u2b1r23->0.351820749411324, u3b12r3->0.257995042264318, u3b1r23->0.066444598223313, u2b13r2->0.317665455023961, u2b1r32->0.162915826971563, u3b13r2->0.113199752524655, u3b1r32->0.281245988111199, u1b21r3->0.196362173568813, u1b2r13->0.322599273201048, u3b21r3->0.256489915207782, u3b2r13->0.119551214572881, u1b23r1->0.357571720804104, u1b2r31->0.202923282045506, u3b23r1->0.053834068444372, u3b2r31->0.256438141482657, u1b32r1->0.326379972009486, u1b3r21->0.199431856824856, u2b32r1->0.148576688468808, u2b3r21->0.296941324734917, u1b31r2->0.193145735393578, u1b3r12->0.303959161174441, u2b31r2->0.297332292124494, u2b3r12->0.191182880107015} 

params20={b1->0.2500000, b2->0.1500000, b3->0.2000000, e3->0.2000000, e4->0.2500000, e5->0.2500000}

paytot20 = 0.411536370770594

soln20 = {a1f2->0.016347198614432, a1f3->0.016753607439830, a2f1->0.057270513505371, a2f3->0.055396742805282, a3f1->0.029803994624478, a3f2->0.028911785242876, d1->1.056017316005394, d2->0.679759340158534, d3->0.904047100824884, a12->0.310136297383811, a13->0.336733335484583, a21->0.368043248416071, a23->0.348305207691783, a31->0.360659203275181, a32->0.306339123735705, af12->0.257967877575208, af13->0.333162480312437, af21->0.289462763052467, af23->0.240453373963427, af31->0.342556653662857, af32->0.212854155940357, u2b12r3->0.131623423935451, u2b1r23->0.238544047531452, u3b12r3->0.305515729027929, u3b1r23->0.230249186678482, u2b13r2->0.226580577989487, u2b1r32->0.130062101353566, u3b13r2->0.240340679408161, u3b1r32->0.312027702375170, u1b21r3->0.261310605677078, u1b2r13->0.283718072885945, u3b21r3->0.264947169395796, u3b2r13->0.241633415196821, u1b23r1->0.295453955571932, u1b2r31->0.276368008940276, u3b23r1->0.223642092513002, u3b2r31->0.260209960633869, u1b32r1->0.325690989718716, u1b3r21->0.273957580111446, u2b32r1->0.117376357220078, u2b3r21->0.219682756074362, u1b31r2->0.275039550552953, u1b3r12->0.315688290393141, u2b31r2->0.213502671081142, u2b3r12->0.146716898922210} 

params21={b1->0.2500000, b2->0.1500000, b3->0.2500000, e3->0.2000000, e4->0.2500000, e5->0.2500000}

paytot21 = 0.462388086620236

soln21 = {a1f2->0.050100552238008, a1f3->0.056776607728993, a2f1->0.019780356594550, a2f3->0.019392445622329, a3f1->0.062244227122180, a3f2->0.051881274214873, d1->0.674539545511904, d2->0.996251892417981, d3->0.644886755994931, a12->0.336190937306881, a13->0.338789631991278, a21->0.262123929426329, a23->0.254279063684732, a31->0.340713614000687, a32->0.335209440091847, af12->0.263363513561531, af13->0.269497964315204, af21->0.227964394195103, af23->0.212044676609057, af31->0.266078531308695, af32->0.251564707358110, u2b12r3->0.232546948735504, u2b1r23->0.385010655608459, u3b12r3->0.254362952441964, u3b1r23->0.064038326750818, u2b13r2->0.356185828108129, u2b1r32->0.245696228425858, u3b13r2->0.108909300933866, u3b1r32->0.254611312807067, u1b21r3->0.084981786614512, u1b2r13->0.279790818029417, u3b21r3->0.305306025551453, u3b2r13->0.133484779684876, u1b23r1->0.323229091187635, u1b2r31->0.142820797595738, u3b23r1->0.055920502972359, u3b2r31->0.269551398504136, u1b32r1->0.265730757463485, u1b3r21->0.093535919757007, u2b32r1->0.227508602662128, u2b3r21->0.374885158712571, u1b31r2->0.123991748080905, u1b3r12->0.261726622987897, u2b31r2->0.351676092603017, u2b3r12->0.249565201120954} 

params22={b1->0.2500000, b2->0.2000000, b3->0.1500000, e3->0.2000000, e4->0.2500000, e5->0.2500000}

paytot22 = 0.134672867146940

soln22 = {a1f2->0.006742859907744, a1f3->0.006667541518955, a2f1->0.008224825344736, a2f3->0.008127174151012, a3f1->0.006912054178732, a3f2->0.006870834691642, d1->1.402223042869452, d2->1.363084149202819, d3->1.394609210899325, a12->0.401587581507697, a13->0.389871557097598, a21->0.402349877501400, a23->0.378493261593880, a31->0.390649854937004, a32->0.383075233267504, af12->0.365988216489780, af13->0.339860490497537, af21->0.365412055219077, af23->0.318379150115703, af31->0.341221550076596, af32->0.317632206861837, u2b12r3->0.455386724550570, u2b1r23->0.146327029153488, u3b12r3->0.138176961403619, u3b1r23->0.458515258687789, u2b13r2->0.143941185733211, u2b1r32->0.458333744960950, u3b13r2->0.448735773278824, u3b1r32->0.146281285880309, u1b21r3->0.454829256814744, u1b2r13->0.142381066015166, u3b21r3->0.138150525953045, u3b2r13->0.457502828417161, u1b23r1->0.148044740425194, u1b2r31->0.456029957962968, u3b23r1->0.444100673787762, u3b2r31->0.143149876565469, u1b32r1->0.144272451780041, u1b3r21->0.456068617090308, u2b32r1->0.449824817958544, u2b3r21->0.143689093596721, u1b31r2->0.450718680435199, u1b3r12->0.140123332813893, u2b31r2->0.142930312829082, u2b3r12->0.458231662920920} 

params23={b1->0.2500000, b2->0.2000000, b3->0.2000000, e3->0.2000000, e4->0.2500000, e5->0.2500000}

paytot23 = 0.465580488789014

soln23 = {a1f2->0.052304516905948, a1f3->0.051244803590638, a2f1->0.044321609583373, a2f3->0.039964685858977, a3f1->0.037672983773039, a3f2->0.035318578779433, d1->0.691685998733175, d2->0.757245159955931, d3->0.811616428332275, a12->0.335346570183125, a13->0.335780318170964, a21->0.322861403829240, a23->0.307956540733591, a31->0.309704812922598, a32->0.287173649759547, af12->0.256604624702965, af13->0.269690034988638, af21->0.251506878821527, af23->0.233961454585175, af31->0.255476416664724, af32->0.224292206790818, u2b12r3->0.156406950901992, u2b1r23->0.308675638478606, u3b12r3->0.312789412055562, u3b1r23->0.169662853678318, u2b13r2->0.296231657294949, u2b1r32->0.137815484785212, u3b13r2->0.178283577039131, u3b1r32->0.330082900218674, u1b21r3->0.125622930364245, u1b2r13->0.273740817582727, u3b21r3->0.320936540937559, u3b2r13->0.195040241962399, u1b23r1->0.286514958247819, u1b2r31->0.126687336569297, u3b23r1->0.164394869090141, u3b2r31->0.324816768455971, u1b32r1->0.302487878981836, u1b3r21->0.132273921218622, u2b32r1->0.125977748380248, u2b3r21->0.311158222570679, u1b31r2->0.121599648490555, u1b3r12->0.282135252665261, u2b31r2->0.311448177950442, u2b3r12->0.169889920023829} 

params24={b1->0.2500000, b2->0.2000000, b3->0.2500000, e3->0.2000000, e4->0.2500000, e5->0.2500000}

paytot24 = 0.457513774782412

soln24 = {a1f2->0.043979368040008, a1f3->0.045393183385707, a2f1->0.022904764115990, a2f3->0.022893954845073, a3f1->0.063935202652627, a3f2->0.057377028607044, d1->0.747418854292170, d2->0.949148031600108, d3->0.614064599061192, a12->0.315389471273438, a13->0.314569278027247, a21->0.282111568309435, a23->0.264344913499327, a31->0.341204367433076, a32->0.332414508357333, af12->0.255766598682712, af13->0.229011788666933, af21->0.249560667133374, af23->0.202985775424225, af31->0.232094518773986, af32->0.237644541623709, u2b12r3->0.224081137822018, u2b1r23->0.378150648040888, u3b12r3->0.244010806868204, u3b1r23->0.053969157908950, u2b13r2->0.360558639904692, u2b1r32->0.232943731583956, u3b13r2->0.074988212956553, u3b1r32->0.246494685315440, u1b21r3->0.141005217465926, u1b2r13->0.316956011736497, u3b21r3->0.271438252920052, u3b2r13->0.095555386824729, u1b23r1->0.344008440881080, u1b2r31->0.167171293897389, u3b23r1->0.040465673246955, u3b2r31->0.260712695996577, u1b32r1->0.294089815761621, u1b3r21->0.150534541670886, u2b32r1->0.209281149449359, u2b3r21->0.346080530767482, u1b31r2->0.148416961596071, u1b3r12->0.290724226192298, u2b31r2->0.338129008235866, u2b3r12->0.223153831067382} 

params25={b1->0.2500000, b2->0.2500000, b3->0.1500000, e3->0.2000000, e4->0.2500000, e5->0.2500000}

paytot25 = 0.462518849390259

soln25 = {a1f2->0.055418337235743, a1f3->0.043774945894929, a2f1->0.034772950806712, a2f3->0.031445709187205, a3f1->0.047801018712756, a3f2->0.048281382698971, d1->0.697967889004920, d2->0.848475317695052, d3->0.703757701153196, a12->0.350214558576701, a13->0.304630079524644, a21->0.324878016639720, a23->0.284375360158123, a31->0.283831740603190, a32->0.307888213049422, af12->0.305048494304361, af13->0.198390713101516, af21->0.306320262024335, af23->0.226934143088715, af31->0.173287308525416, af32->0.235409801669767, u2b12r3->0.205181502817644, u2b1r23->0.337679344745030, u3b12r3->0.270428378452096, u3b1r23->0.127967239313462, u2b13r2->0.349114554410440, u2b1r32->0.196560001623667, u3b13r2->0.096987190909846, u3b1r32->0.283441064104671, u1b21r3->0.151503391246605, u1b2r13->0.307324970226799, u3b21r3->0.283618114144722, u3b2r13->0.122698628633044, u1b23r1->0.315099949370390, u1b2r31->0.097811014115571, u3b23r1->0.099575147463933, u3b2r31->0.321473196325653, u1b32r1->0.296010460404011, u1b3r21->0.157622099189526, u2b32r1->0.164511254635143, u2b3r21->0.313701837334998, u1b31r2->0.053214822062828, u1b3r12->0.265445236993038, u2b31r2->0.372752328312556, u2b3r12->0.221750737725970} 

params26={b1->0.2500000, b2->0.2500000, b3->0.2000000, e3->0.2000000, e4->0.2500000, e5->0.2500000}

paytot26 = 0.456057011491602

soln26 = {a1f2->0.047568396087910, a1f3->0.045073469805542, a2f1->0.051871377590377, a2f3->0.046558395050672, a3f1->0.030431883413220, a3f2->0.030248799135463, d1->0.733498693898291, d2->0.705855478057189, d3->0.867011906830890, a12->0.330395039578111, a13->0.318221849190934, a21->0.333175488437851, a23->0.320908186477200, a31->0.292707236401822, a32->0.282611750274363, af12->0.251618960784469, af13->0.243318292771235, af21->0.250939794209096, af23->0.236582685886314, af31->0.235146828255909, af32->0.217647214336596, u2b12r3->0.136602912006520, u2b1r23->0.279900443757603, u3b12r3->0.322718244542865, u3b1r23->0.200265508199255, u2b13r2->0.278748510744820, u2b1r32->0.113877778953516, u3b13r2->0.190979752159091, u3b1r32->0.341694542748839, u1b21r3->0.150177684261223, u1b2r13->0.287163215633968, u3b21r3->0.318830093922724, u3b2r13->0.199707832278839, u1b23r1->0.287860373842655, u1b2r31->0.140127895661654, u3b23r1->0.186626547306797, u3b2r31->0.331585763899043, u1b32r1->0.315119196449891, u1b3r21->0.158047226290211, u2b32r1->0.103332624296935, u2b3r21->0.285453771014058, u1b31r2->0.129366244074521, u1b3r12->0.294297517257713, u2b31r2->0.298484587109583, u2b3r12->0.148543033430398} 

params27={b1->0.2500000, b2->0.2500000, b3->0.2500000, e3->0.2000000, e4->0.2500000, e5->0.2500000}

paytot27 = 0.057635555084616

soln27 = {a1f2->0.002388785250793, a1f3->0.002387527442755, a2f1->0.002898188770049, a2f3->0.002893546298375, a3f1->0.003256614089680, a3f2->0.003260924107098, d1->1.662360912560586, d2->1.624479707618151, d3->1.600883486807800, a12->0.394574963076612, a13->0.394509962046468, a21->0.393738647821000, a23->0.393037766045330, a31->0.394690019648675, a32->0.393475532338456, af12->0.334209593943441, af13->0.332099213716012, af21->0.333588280579607, af23->0.334151567834070, af31->0.332565161946772, af32->0.334115987762927, u2b12r3->0.507584950162005, u2b1r23->0.114468722095203, u3b12r3->0.115800916478202, u3b1r23->0.518153687503691, u2b13r2->0.114252241670063, u2b1r32->0.516755352833548, u3b13r2->0.509055283428456, u3b1r32->0.115774946472394, u1b21r3->0.507228034929771, u1b2r13->0.115315508413278, u3b21r3->0.115178421528403, u3b2r13->0.516372138157350, u1b23r1->0.114546040663488, u1b2r31->0.514556682588264, u3b23r1->0.507481869030454, u3b2r31->0.117347602661518, u1b32r1->0.113991695951809, u1b3r21->0.515912390922932, u2b32r1->0.507857658967127, u2b3r21->0.115013088418053, u1b31r2->0.508584476221649, u1b3r12->0.114174206871376, u2b31r2->0.113963552344124, u2b3r12->0.517312337969495}