spherical,3,7,77.86954215542338680591828838037453,0.21013831273060308486576530161854,0,3*x^3-9*x^2-3*x+1,yes spherical,3,8,74.85849218561553500792611345605364,0.26120387496374144251476820691706,0,7*x^2+2*x-1,yes spherical,3,9,70.52877936550930863075400066003756,0.33333333333333333333333333333334,0,3*x-1,yes spherical,3,10,66.14682198789054287220577533235752,0.40439432521625075684622475072579,0,7*x^3-4*x^2-2*x+1,yes spherical,3,11,63.43494882292201064842780627954670,0.44721359549995793928183473374626,0,5*x^2-1,yes spherical,3,12,63.43494882292201064842780627954670,0.44721359549995793928183473374626,0,5*x^2-1,yes spherical,3,13,57.13670307757834201767700274322533,0.54263648682963846368144007679523,0,x^8-24*x^7-12*x^6+8*x^5+38*x^4+24*x^3-12*x^2-8*x+1,yes spherical,3,14,55.67056999565952572422946524468126,0.56395030036050516749088520575670,0,4*x^4-2*x^3+3*x^2-1,yes spherical,3,15,53.65785012993267380552604148370299,0.59260590292507377809642492233276,0,13*x^5-x^4+6*x^3+2*x^2-3*x-1,no spherical,3,16,52.24439575272065377204341696894192,0.61229461648269661600605156530452,0,23*x^6+6*x^5+5*x^4+4*x^3-3*x^2-2*x-1,no spherical,3,17,51.09032855162777854657552387628875,0.62809441507002164642659266364200,0,4*x^10-92*x^9+24*x^8+128*x^7-58*x^6-78*x^5+35*x^4+32*x^3-4*x^2-6*x-1,no spherical,3,18,49.55665476843424246091024211381574,0.64869583222311652907905517143837,0,216*x^11+108*x^10+118*x^9+209*x^8-100*x^7-160*x^6+40*x^5+46*x^4-20*x^3-12*x^2+2*x+1,no 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spherical,3,20,47.43103622671058794874110898739208,0.67647713812965145206767190546124,2,21*x^3-9*x^2-5*x+1,no spherical,3,21,45.61322310576746718916814716981591,0.69949843106637709573776394272263,0,0,no spherical,3,22,44.74016116716264539249224387535237,0.71030625857969039075297000237262,0,486*x^18+13113*x^17+114996*x^16+117476*x^15+658256*x^14+378752*x^13-347056*x^12-121388*x^11+81724*x^10-70886*x^9-55992*x^8+12716*x^7+6528*x^6-2392*x^5-208*x^4+284*x^3+14*x^2+5*x+4,no spherical,3,23,43.70996420526255099481804509479013,0.72284698486839966689606899351518,1,0,no spherical,3,24,43.69076710767579618171644921518231,0.72307846833350853703234480939452,0,7*x^3+x^2-3*x-1,yes spherical,3,25,41.63446125970606406767024214741580,0.74739862857799274075800073210958,0,7180192468708211294208*x^89-157717648925692394471424*x^88+1205728317257342942969856*x^87-4502748471868607615631360*x^86+14709588236775443914204275*x^85-42774577964604025309919619*x^84+76599134718087031860943062*x^83-96976813613096908544298678*x^82+145802828395781194853314467*x^81-137468090597227247981340531*x^80-16797985907226176343758328*x^79+115349735848985688948984*x^78+339218126839338276289617150*x^77-646747333461837207404551454*x^76+792159162552089341472707316*x^75-637787712795699990727849396*x^74-414892206619917407257233770*x^73+102815823893140869769512778*x^72-2293865907331965017528459896*x^71+2827648040679434442626956408*x^70+4849746030850456730367364443*x^69+5806499806874699993364450197*x^68+10078022791748877122055368126*x^67+11682844031740411075904993890*x^66+22894905408563887844082994387*x^65+38975821550046544022399438301*x^64+53914020128102954032910469280*x^63+74786258564830258345622481760*x^62+83162806722889287479097544328*x^61+70573303525937791459651988984*x^60+60612526812247392567994522480*x^59+59040929342856659640295995280*x^58+45764600807922972481345365224*x^57+15540240029287467500908264344*x^56-6883938325862057211571652064*x^55-932115592950413390035081760*x^54+16675566638557302430731767718*x^53+16680771362613621478744633402*x^52-561643452959277404508908148*x^51-12884349400762579096060134732*x^50-10651125972482084309508233562*x^49-3092848177770530297429305926*x^48+92246478184019273119527024*x^47-934127036810783545959796336*x^46-1845568512103565650446513452*x^45-1289968098546903362430052756*x^44-572601128519675303348402632*x^43-403874112898637638902078136*x^42-324627016853261845245926236*x^41-8525459396392599724348260*x^40+299751255675112321515406576*x^39+341319612110288486423564048*x^38+180717270363871094742237262*x^37+19313921885905184567368466*x^36-44827292888544990112811060*x^35-37448192491933112216472204*x^34-13807839209608231652461026*x^33-545437907229853636886334*x^32+2230457624090649616650016*x^31+1265006708766043109778656*x^30+302718932114747826739144*x^29-24129911915725279878984*x^28-47587451287604419553936*x^27-18350236658506074372720*x^26-2951950809993319277400*x^25+611389996704378222552*x^24+583533435395314421664*x^23+206226058880426344544*x^22+36181551688403418311*x^21-3839476135541296535*x^20-5172237488767441250*x^19-1952233262605812990*x^18-431384060474673065*x^17-46380020052045543*x^16+5050849868049864*x^15+3294755930889528*x^14+705390381869022*x^13+76532545200642*x^12-383435464204*x^11-1715213031604*x^10-322767548106*x^9-31089390934*x^8-989318200*x^7+173076024*x^6+31705975*x^5+2786873*x^4+153974*x^3+5418*x^2+111*x+1,no 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spherical,3,27,40.67760068512674658008426875219181,0.75838921077657748391083424965931,0,16*x^24-128*x^23+536*x^22-2088*x^21+4977*x^20-12258*x^19+20672*x^18-36126*x^17+51043*x^16-73408*x^15+104128*x^14-137928*x^13+175090*x^12-181700*x^11+155936*x^10-92916*x^9+32222*x^8+6608*x^7-16568*x^6+8192*x^5-1843*x^4-490*x^3+128*x^2+2*x-1,no spherical,3,28,39.35514356888495841115001709288861,0.77323026233796340734575992835035,1,0,no spherical,3,29,38.71365119385894037633759802659374,0.78028141594871705893938480666397,1,0,no spherical,3,30,38.59711595386765606658303351176410,0.78155187509498732710358610409650,0,21508124014*x^29+32054106929*x^28-17306462662*x^27-25038151480*x^26+45587477052*x^25+38755887413*x^24-43255133604*x^23-45501640088*x^22+10460524458*x^21+17929512405*x^20-4828786226*x^19-5447284224*x^18+4496890016*x^17+4235161545*x^16-436447576*x^15-1539874224*x^14-487336414*x^13+100621747*x^12+97938998*x^11+20609352*x^10+665516*x^9+320703*x^8+272188*x^7-6712*x^6-34298*x^5-7289*x^4+386*x^3+368*x^2+56*x+3,no spherical,3,31,37.70982914370989458237011117017694,0.79111861329867495834332727354269,0,762939453125*x^66-7749023437500000*x^65-549435976806640625*x^64-11954964334375000000*x^63+46354290204062500000*x^62+296025528806187500000*x^61+490694826896712500000*x^60-2924709240882350000000*x^59-6800355886385641875000*x^58-366339002678087500000*x^57+24369506192176385375000*x^56+27001547365967091000000*x^55-21809158347127162000000*x^54-57924024899601366500000*x^53+216864844649587000000*x^52+85459665184041748000000*x^51+54781050077892013637500*x^50-58750644174610964300000*x^49-82881366173951176087500*x^48+10813834042651693800000*x^47+68671909889015111100000*x^46+21880288415145669500000*x^45-33835279909942372260000*x^44-28742278663291060560000*x^43+5059474474277195855000*x^42+18072340935967350180000*x^41+5081122618349672485000*x^40-7348044648411661000000*x^39-4855343931749555912000*x^38+1756201950891108268000*x^37+2191537623864678896000*x^36-149574226224283200000*x^35-601704498228424443250*x^34-31377517351471092000*x^33+105699566552688975850*x^32+7583888617243473600*x^31-11670500395907146400*x^30+897723129303914400*x^29+727136477631583200*x^28-648477435737936000*x^27-15984936748662600*x^26+140013663478850400*x^25-729722733211800*x^24-18513532467761600*x^23+83825458355200*x^22+1742577366650400*x^21-11081142856000*x^20-124659358585600*x^19+1556588076380*x^18+7006344894560*x^17-185033832620*x^16-323267164480*x^15+18407781280*x^14+13515780640*x^13-1414879840*x^12-552613760*x^11+81291880*x^10+19660000*x^9-3587720*x^8-472000*x^7+128960*x^6+5280*x^5-3840*x^4+85*x^2-1,no spherical,3,32,37.47521397487154131177437208730674,0.79361661487126244036481707479245,0,6561*x^22-4374*x^21-94041*x^20+1289844*x^19+3605067*x^18-4301046*x^17+6019389*x^16+238896*x^15-10407366*x^14+7894164*x^13+7975830*x^12-7790088*x^11-3481466*x^10+3831332*x^9+843658*x^8-1303376*x^7-311819*x^6+148290*x^5+39667*x^4-3660*x^3-1185*x^2+18*x+9,no spherical,4,9,80.67611499113670774069403965727037,0.16201519961163454918243428113270,0,16*x^3-16*x^2-4*x+1,no spherical,4,10,80.40593177313953855556147215930090,0.16666666666666666666666666666667,0,6*x-1,yes spherical,4,11,76.67904986073005406839997302465582,0.23040556359455544173706204865074,0,8*x^3-12*x^2-2*x+1,no spherical,4,12,75.52248781407007612122896520087283,0.25000000000000000000000000000000,0,4*x-1,no spherical,4,13,72.10367061152200998823004588133241,0.30729565398102882232528869633144,0,5632*x^9+9472*x^8-3072*x^7-5888*x^6+544*x^5+944*x^4+152*x^3-44*x^2-14*x-1,no spherical,4,14,71.36618599098114419896366620681077,0.31951859421260363549590568166773,0,58*x^7+174*x^6+140*x^5-16*x^4-54*x^3-10*x^2+4*x+1,no spherical,4,15,69.45198696595656364825678623645506,0.35099217594534630329905559676410,0,36*x^4-18*x^3+10*x^2-1,no spherical,4,16,67.19300206778070795754958388500717,0.38762817712253427775854691441514,0,256*x^10+1024*x^9+256*x^8-1152*x^7+160*x^6+176*x^5-144*x^4+36*x^3+37*x^2-6*x-3,no spherical,4,17,65.65315632940273003033659773645941,0.41225936269326378906697367932150,0,0,no spherical,4,18,64.98728271299508194615697469901300,0.42281941407305934402640028185634,0,14424*x^16+42932*x^15+18232*x^14-62100*x^13-53831*x^12+41528*x^11+46442*x^10-18248*x^9-20977*x^8+6180*x^7+5372*x^6-1556*x^5-721*x^4+240*x^3+34*x^2-16*x+1,no spherical,4,19,64.26187661462771779834845404644122,0.43425854591066488218653687791175,0,3*x^2+x-1,no spherical,4,20,64.26187661462771779834845404644122,0.43425854591066488218653687791175,0,3*x^2+x-1,no spherical,4,21,61.87603156177932859191783429796328,0.47138085850731791681783507846628,0,16*x^8-128*x^7-64*x^6+32*x^5+72*x^4+32*x^3-16*x^2-8*x+1,no spherical,4,22,60.13988632460909789015726511015541,0.49788413084355235628616910040615,0,0,no spherical,4,23,60.00000000000000000000000000000000,0.50000000000000000000000000000000,0,2*x-1,no spherical,4,24,60.00000000000000000000000000000000,0.50000000000000000000000000000000,0,2*x-1,yes spherical,4,25,57.49888257759496543718680470969067,0.53731605665507787659607001344589,0,0,no spherical,4,26,57.26259226563522993703621159690104,0.54078961769753707672755075220843,0,3392*x^6+2112*x^5-496*x^4-656*x^3-132*x^2+6*x-1,no spherical,4,27,56.11061324625795902608764933134448,0.55759135118017018253232385918274,3,794*x^5+393*x^4-344*x^3-82*x^2+6*x+1,no spherical,4,28,55.43513982734237257077234003063094,0.56733880407434859617396405079452,0,0,no spherical,4,29,55.02992450708383988500412411961470,0.57314853044836189190193776787666,0,134217728*x^58+4697620480*x^57+161598144512*x^56-180757725184*x^55-9008861675520*x^54+44334447591424*x^53-83919139504128*x^52+98587941797888*x^51-181832408104960*x^50+316581256626176*x^49-90076763127808*x^48-537023456608256*x^47+604830226120704*x^46+254556736454656*x^45-752724353286144*x^44+54249034416128*x^43+644033914798080*x^42-107040978763776*x^41-560570197295104*x^40+6859761270784*x^39+499220015497216*x^38+90040966848512*x^37-380613267726336*x^36-124450276397056*x^35+230245747986432*x^34+109643677564928*x^33-105946394147840*x^32-73517100673024*x^31+32119186237952*x^30+37184308716032*x^29-1979817458176*x^28-13072126472960*x^27-4235166430720*x^26+2344880983552*x^25+2853044827712*x^24+532918979008*x^23-1043701990592*x^22-610331035168*x^21+229379699680*x^20+265097468112*x^19-18621871032*x^18-76317870584*x^17-7228205676*x^16+15826810374*x^15+3577929127*x^14-2318270796*x^13-851229809*x^12+214632938*x^11+128263091*x^10-7704392*x^9-12478145*x^8-748486*x^7+737925*x^6+114164*x^5-21803*x^4-6010*x^3+57*x^2+120*x+9,no spherical,4,30,54.25118969371278003645403260132927,0.58423281393058512894226706121300,0,0,no spherical,4,31,53.78862671849501799323928306837474,0.59076583858072581074772305364896,2,0,no spherical,4,32,53.43601305266608940377321769977306,0.59572014923551345643989842209366,2,0,no spherical,5,11,82.36548108376801990767391559984579,0.13285354259858991808946447681952,0,45*x^3-25*x^2-5*x+1,no spherical,5,12,81.14516188585517605543937180072117,0.15393160503302123094881763125084,0,25*x^4+30*x^3+24*x^2+2*x-1,no spherical,5,13,79.20708470783783123366073209452406,0.18725985188285358701782399517981,0,17*x^3-5*x^2-5*x+1,no spherical,5,14,78.46304096718451230986262848948731,0.20000000000000000000000000000000,0,5*x-1,no spherical,5,15,78.46304096718451230986262848948731,0.20000000000000000000000000000000,0,5*x-1,no spherical,5,16,78.46304096718451230986262848948731,0.20000000000000000000000000000000,0,5*x-1,yes spherical,5,17,74.30741622412003388784332347892401,0.27047583526857362208626102246801,0,9*x^4-16*x^3-10*x^2+1,no spherical,5,18,74.00808308678895218079554484163947,0.27550174165981923838704223579799,0,484*x^5-488*x^4+97*x^3+17*x^2-x-1,no spherical,5,19,73.03290806269132198168485098189368,0.29182239902449014614857168904980,0,57*x^6-38*x^5-109*x^4+32*x^3+23*x^2-10*x+1,no spherical,5,20,72.57928983890882545220824776974176,0.29938569289912478230200302792897,1,5*x^3+13*x^2-x-1,no spherical,5,21,71.64419935121190536879479200706709,0.31491695717530346284922041852029,0,869312*x^14+8798656*x^13-1062776*x^12-10586775*x^11-968269*x^10+3532907*x^9+188249*x^8-659974*x^7-11746*x^6+72246*x^5-806*x^4-5267*x^3-97*x^2+207*x+21,no spherical,5,22,69.20685996353569280640998613355169,0.35499503416625620682992409117504,0,0,no spherical,5,23,68.29840039853121657309012131409493,0.36977269694307633377246233586792,2,0,no spherical,5,24,68.02308559289922261595581158921005,0.37423298246516725172655168161941,0,1620*x^10+5508*x^9-5751*x^8-2406*x^7+2055*x^6+276*x^5+559*x^4-210*x^3-127*x^2+48*x-4,no spherical,5,25,67.68978992189891768892071915999768,0.37962102539378266282456421792923,0,0,no spherical,5,26,67.03052523495341113770027834086652,0.39024065950484684004435526211173,0,524800*x^23+4355041*x^22+12847946*x^21+19153517*x^20+21850072*x^19+23648850*x^18+22411486*x^17+14303202*x^16+3883390*x^15-2036811*x^14-4180690*x^13-3335803*x^12-809642*x^11+335179*x^10+208142*x^9+70923*x^8+28042*x^7-4402*x^6-6624*x^5-798*x^4+330*x^3+63*x^2-4*x-1,no spherical,5,27,66.31805184468824442438431523624444,0.40165926427641808725922803276444,0,1119771*x^15-2830137*x^14-1546771*x^13+5257986*x^12+1128383*x^11-2395071*x^10-835223*x^9+3296*x^8+279089*x^7+182809*x^6-10649*x^5-22406*x^4-3595*x^3+127*x^2+67*x+4,no spherical,5,28,65.91009009174930460688758675681090,0.40816969909292876817531302066075,0,0,no spherical,5,29,65.73016702447021538852233536025111,0.41103443509195154800015221999063,0,7558272*x^31-140877792*x^30+761392386*x^29-2056857705*x^28+12778454376*x^27-9234224127*x^26-152236269396*x^25+251208094662*x^24+485200038816*x^23-1070947057734*x^22-655636028274*x^21+2081656808361*x^20+417978163944*x^19-2474314751169*x^18+248887789152*x^17+1543781797668*x^16-336701441280*x^15-565486924276*x^14+132444694590*x^13+133931442297*x^12-24823009608*x^11-21199487889*x^10+2147658044*x^9+2171347238*x^8-25502752*x^7-130779014*x^6-8612494*x^5+3809703*x^4+506360*x^3-29199*x^2-8072*x-368,no spherical,5,30,65.60469675996130765655995835525877,0.41302977612208581019088251209695,0,269*x^7-1419*x^6-283*x^5+405*x^4+15*x^3-9*x^2-x-1,no spherical,5,31,64.28392571463760124123460480389348,0.43391186395954602878684987397560,0,131813361*x^20-731458980*x^19+1012289262*x^18+274194380*x^17-1451653075*x^16-56793808*x^15+1045838760*x^14+84095280*x^13-606236238*x^12-195879416*x^11+142245076*x^10+89397096*x^9+5543250*x^8-8401424*x^7-3008600*x^6-417936*x^5-8483*x^4+5244*x^3+750*x^2+44*x+1,no spherical,5,32,63.77925174004906355623876793171895,0.44183074392731126949046338768223,0,8*x^10-40*x^9+74*x^8-78*x^7+73*x^6-10*x^5-3*x^4+18*x^3-9*x^2-2*x+1,no spherical,6,13,83.50711954519258526930790509107958,0.11307975214744721384507044810795,0,96*x^3-36*x^2-6*x+1,no spherical,6,14,82.38644311487112960753413014038813,0.13249092032347031437017906291052,0,237299200*x^13+463738880*x^12+366062080*x^11+142462784*x^10+23021376*x^9-2398832*x^8-1849600*x^7-343428*x^6-1802*x^5+11443*x^4+1390*x^3-128*x^2-20*x+1,no spherical,6,15,81.66567558562359971439920520487028,0.14494897427831780981972840747059,0,20*x^2+4*x-1,no spherical,6,16,80.14544748501058444245852743396934,0.17114764942939365334044778754758,0,4000000*x^8+15120000*x^7+9896400*x^6-2451600*x^5-4503600*x^4-1511460*x^3-87480*x^2+43740*x+6561,no spherical,6,17,79.43946091141681653402335194182435,0.18327433702314481857632435406165,0,400*x^4+240*x^3+16*x^2-8*x-1,no spherical,6,18,78.59094914631781096516793437044827,0.19781218860197545240607808204678,0,784*x^8-280*x^7-1191*x^6+120*x^5+218*x^4-62*x^3-31*x^2+2*x+1,no spherical,6,19,78.44982328103026755028504620673026,0.20022602589120548304270384498373,0,0,no spherical,6,20,77.62637488381144200769096282034911,0.21428571428571428571428571428572,0,14*x-3,no spherical,6,21,75.94502085041603481236392354428406,0.24285284801369170250759542313692,0,0,no spherical,6,22,75.58959971877343935476369025853277,0.24886569945945498664968496352672,2,0,no spherical,6,23,75.52248781407007612122896520087283,0.25000000000000000000000000000000,1,4*x-1,no spherical,6,24,75.52248781407007612122896520087283,0.25000000000000000000000000000000,0,4*x-1,no spherical,6,25,75.52248781407007612122896520087283,0.25000000000000000000000000000000,0,4*x-1,no spherical,6,26,75.52248781407007612122896520087283,0.25000000000000000000000000000000,0,4*x-1,no spherical,6,27,75.52248781407007612122896520087283,0.25000000000000000000000000000000,0,4*x-1,yes spherical,6,28,72.54239687627790770975395420755505,0.30000000000000000000000000000000,7,10*x-3,no spherical,6,29,70.86198240837437246132452638327840,0.32784483088118687202127443197487,2,0,no spherical,6,30,70.53674616377562607328290101422838,0.33320223547405022827954928731378,0,0,no spherical,6,31,70.52877936550930863075400066003756,0.33333333333333333333333333333334,0,3*x-1,no spherical,6,32,70.52877936550930863075400066003756,0.33333333333333333333333333333334,0,3*x-1,no spherical,7,15,84.33558210993109390169556903708466,0.09870177627236447932802936506891,0,175*x^3-49*x^2-7*x+1,no spherical,7,16,83.49321458126912900808428497560837,0.11332087960014474124552027924541,0,85823999*x^12+153503984*x^11+163426326*x^10+92426704*x^9+29708081*x^8+9292960*x^7+2252404*x^6+410976*x^5+29489*x^4-3216*x^3-746*x^2-48*x-1,no spherical,7,17,82.82839245808687789982833852129493,0.12484158381525719834719018255480,0,125998198321917392989919022595317*x^48+993033509449311326134696169231122*x^47+3752248327200066770687375692539686*x^46+8955158465726530265612401238780138*x^45+15007364215887293115858590752506170*x^44+18582312869988955755046896791034362*x^43+17398454256724475463270552736728846*x^42+12340249950977774848909258312869330*x^41+6457098398753576023330165931609144*x^40+2263122016312540000604017995134782*x^39+314828563456342547964236008385066*x^38-177579034616420008419141554622362*x^37-137348191835973197189745676674066*x^36-42702739808756989271422234943546*x^35-3096465435381678859958012957294*x^34+2983247678463712395049009052462*x^33+1330683210419223946267107795885*x^32+200508423264171416624064557236*x^31-33254311832642939370952336900*x^30-21993233538957427585670435292*x^29-3812814026325803718729989596*x^28+214098631481038052344113028*x^27+228709751658607587974535244*x^26+40150466235528538268095988*x^25-747593026805040485716200*x^24-1579936001334212279880772*x^23-267450005683160048518252*x^22+143104862796579626508*x^21+7360876301341395343292*x^20+1183398078910690852620*x^19+13115715182908335396*x^18-23033869432963953444*x^17-3518165198645476577*x^16-71920091568688102*x^15+47104211363236990*x^14+6917600084602194*x^13+204507747167810*x^12-58734651593630*x^11-8591773464250*x^10-343380773734*x^9+37260038384*x^8+6065620262*x^7+321676450*x^6-4131538*x^5-1774922*x^4-128178*x^3-4950*x^2-106*x-1,no spherical,7,18,82.75386890277099833164413156132155,0.12613198362288317391722947587285,0,47*x^2+2*x-1,no spherical,7,19,80.99054886891945278782199328588019,0.15659738541709551030242683082792,0,1280*x^6-352*x^4-48*x^3+37*x^2+3*x-1,no spherical,7,20,80.24003872242786137070862280615199,0.16952084719853722593019861519182,0,23*x^2+2*x-1,no spherical,7,21,79.54146119500459356104591631890956,0.18152396080041583540526502110446,0,0,no spherical,7,22,79.47036912306999346266936086218739,0.18274399763155681014833407039277,0,19*x^2+2*x-1,no spherical,7,23,79.47036912306999346266936086218739,0.18274399763155681014833407039277,0,19*x^2+2*x-1,no spherical,7,24,79.47036912306999346266936086218739,0.18274399763155681014833407039277,0,19*x^2+2*x-1,no spherical,7,25,77.59988814551802935070031606043086,0.21473723385459290952279854505932,1,31*x^2-2*x-1,no spherical,7,26,76.62452870871808904564014936022223,0.23133143037135692995849173196346,0,0,no spherical,7,27,76.08103240866478456876439639481756,0.24054938200924358136050178936531,1,0,no spherical,7,28,75.67885262385933846733150735360874,0.24735665120702230944063342932200,0,0,no spherical,7,29,75.58560982771909589695542730493489,0.24893314468092960074198540286771,0,0,no spherical,7,30,75.55394961731072566588000259944602,0.24946828687500069590353003579697,2,0,no spherical,7,31,75.25587620303464198643062248255941,0.25450276751476520071094915336323,1,0,no spherical,7,32,74.59764764858858118232978881451449,0.26559569943123793674839332081547,0,0,no spherical,8,17,84.96677176418563658758414902955192,0.08773346332333854567255804176022,0,288*x^3-64*x^2-8*x+1,no spherical,8,18,84.29137305656666805537037965233645,0.09946957270878709385964502330429,0,0,no spherical,8,19,83.60339917026873193648342462400456,0.11140997502603998543258143242674,0,120167863410491392*x^29-59590763696095232*x^28-76119519931662336*x^27+24767733589606400*x^26+12079697995235328*x^25-10338948633067520*x^24-5431731731562496*x^23+213918450974720*x^22+1245182995202048*x^21+467239418200064*x^20-109683826491392*x^19-132535030185984*x^18-26502882410496*x^17+9913949683712*x^16+6281524035584*x^15+851870894080*x^14-327250048000*x^13-152445557248*x^12-14835825920*x^11+5459137408*x^10+1820496320*x^9+106465088*x^8-44725024*x^7-9101472*x^6-55332*x^5+158896*x^4+14755*x^3-459*x^2-127*x-5,no spherical,8,20,83.13693377417703734808073144823649,0.11949686668719356518012001310428,0,224*x^3+60*x^2-2*x-1,no spherical,8,21,82.49562264547493543855053034509247,0.13060193748187072125738410345853,0,28*x^2+4*x-1,no spherical,8,22,82.49562264547493543855053034509247,0.13060193748187072125738410345853,0,28*x^2+4*x-1,no spherical,8,23,80.95733247771504282420772977150664,0.15716994198931666717945817456695,0,5521700484255070385798883894624256*x^68+93535811217563785735453865662218240*x^67+667163533183396974906813981069934592*x^66+2432727994101205870754617407829966848*x^65+3496236871574823891927448015316451328*x^64-7892400326103461562277860681894068224*x^63-52077024505902658098639946831898869760*x^62-125217661849986056352858508936985182208*x^61-157193750240183171617639720590162001920*x^60-49475927963781682363413558698300145664*x^59+187362086766733535339692491507478036480*x^58+368560702684960109712548233898799136768*x^57+300338494898555831667286429066231545856*x^56+14562039678035757842653964016694591488*x^55-243587687866855077363084554498916483072*x^54-278660661533650351855347063942543310848*x^53-127585463700288403641753069840410607616*x^52+33257584966232614951257080143896641536*x^51+89178229619916210519031111271948746752*x^50+57275756801171310946352817118447140864*x^49+9647183632991237749212354115203497984*x^48-12156553226548483263052941843312410624*x^47-10818165071693813265392947808557858816*x^46-3461162292477053885485911785202515968*x^45+566255673527248973627570288064462848*x^44+1061657563615297007053343011104620544*x^43+445835150545333119788972415247187968*x^42+33053501774587611045777452440748032*x^41-56666678886584595816511120281174016*x^40-30532343657934709446570842160889856*x^39-5528445541652512341841168240214016*x^38+1489432393763531468568961304494080*x^37+1211648656343260942079786316201984*x^36+303159349192943898167221191966720*x^35-5162173267562262674537765928960*x^34-28035623775117230936790449258496*x^33-8866294294585555906798204813312*x^32-773544276000157852115255951360*x^31+354539641340874598635641765888*x^30+149958850685677803955604422656*x^29+21931928380082391177509175296*x^28-1803570981998034168665931776*x^27-1479561319797955521461551104*x^26-283016190473041674402922496*x^25-8240685077749556532633600*x^24+8233507082377536533463040*x^23+2019924053970704222003200*x^22+167143293115336211709952*x^21-22013601988951125637120*x^20-8202940713660858552320*x^19-967362691084893472768*x^18+1630441179820457984*x^17+17961169677979853312*x^16+2751603057693476864*x^15+139294803493127680*x^14-17023746029512192*x^13-3931081977460800*x^12-320403675343232*x^11-2013999223296*x^10+2409317280768*x^9+279388037456*x^8+14292742208*x^7-45762192*x^6-65599328*x^5-5468396*x^4-255512*x^3-7452*x^2-128*x-1,no spherical,8,24,80.92703463766069212088500837949978,0.15769214493936087799410602949295,0,4*x^4-4*x^3-27*x^2-2*x+1,no spherical,8,25,80.54144251646111740436939861947493,0.16433417412503162111153267794066,0,30767579136*x^18+24142675968*x^17-55382704128*x^16-21789278208*x^15+19306561536*x^14+8502165504*x^13-966488064*x^12-884391936*x^11-157079552*x^10+15431680*x^9+17445888*x^8+1272832*x^7-780672*x^6-59776*x^5+18624*x^4+864*x^3-220*x^2-4*x+1,no spherical,8,26,80.05794659119825594712220494521577,0.17265209503507043373086916730531,0,21504951447085138950750208*x^40-238057277770143718264799232*x^39-4383547284432462594002911232*x^38-12014208460447347922176049152*x^37-430476453797243831443259392*x^36+13665695573901128204793413632*x^35+6727353454184761158740738048*x^34-2322442507908002209134018560*x^33-1430918874612176982487597056*x^32+513795007552116931094904832*x^31+175308795674255260414640128*x^30-116264106695350816430096384*x^29-14871294076435946023157760*x^28+16258542092999438716895232*x^27-1190145923142014115774464*x^26-1784184508632499620937728*x^25+594147986827093357887488*x^24+199702633537268172718080*x^23-88069851122124093128704*x^22-20657019153418800857088*x^21+7741572829316890230784*x^20+1653845452648483913728*x^19-466768741874003869696*x^18-97004979363491348480*x^17+20625018126541520896*x^16+4174030074526302208*x^15-692874406813237248*x^14-132972494382432256*x^13+18040414292279296*x^12+3143424127336448*x^11-365646168203264*x^10-54618057261056*x^9+5701764259840*x^8+679538786304*x^7-66280071168*x^6-5741376768*x^5+540608256*x^4+29548800*x^3-2752704*x^2-69984*x+6561,no spherical,8,27,79.63860105060775844503098580519417,0.17985645705828421512952134000393,1,13221437821157376*x^32-20301095675363328*x^31-45539973097390080*x^30+85671232651689984*x^29+39058005311823872*x^28-62415319523606528*x^27-49397612527596544*x^26-4668087974142464*x^25+13372104238886400*x^24+10535289848732416*x^23+3184649526622336*x^22-176932739052672*x^21-500418041551424*x^20-263444230968672*x^19-102357661045348*x^18-16806084814342*x^17+7677522351888*x^16+5338890032093*x^15+1359278340599*x^14+105717601621*x^13-55593679261*x^12-29401875175*x^11-6894743533*x^10-464557063*x^9+180061947*x^8+51312087*x^7+4182309*x^6-333321*x^5-89679*x^4-4941*x^3+213*x^2+33*x+1,no spherical,8,28,79.56275823883899610348089696851705,0.18115842002150127258095821368305,0,36*x^4+24*x^3-36*x^2+1,no spherical,8,29,79.16814481342416346636186926617325,0.18792741558936484033926552129998,0,1719926784*x^16+6151127040*x^15+5690539008*x^14-883954944*x^13-3468845952*x^12-718437600*x^11+790397772*x^10+225963207*x^9-100334293*x^8-24178270*x^7+8082650*x^6+934619*x^5-349129*x^4+716*x^3+4088*x^2-64*x-16,no spherical,8,30,78.23393356566031386883522214201234,0.20391627940388098449483075238404,0,0,no spherical,8,31,77.30820071803608278685031586472905,0.21970657429991018286120539055796,0,0,no spherical,8,32,76.86033910977556120802212334482103,0.22732545202384657669029760629103,0,95*x^2-4*x-4,no spherical,9,19,85.46505241660988144988439695603464,0.07906715121746358947508550780826,0,441*x^3-81*x^2-9*x+1,no spherical,9,20,85.00504887023442958036688945019129,0.08706795832124714750492273563902,0,63*x^2+6*x-1,no spherical,9,21,85.00504887023442958036688945019129,0.08706795832124714750492273563902,0,63*x^2+6*x-1,no spherical,9,22,83.74144061078498175599806682372632,0.10901537523956808103629964436986,0,662*x^4+23*x^3-67*x^2-3*x+1,no spherical,9,23,83.43834176274170463729335671391570,0.11427236968530968639282662571064,0,138601725696*x^16+190276978176*x^15+81726705216*x^14-1109579904*x^13-12081367908*x^12-3601545032*x^11-18274696*x^10+190659516*x^9+28416823*x^8-4404944*x^7-1681516*x^6-103944*x^5+21190*x^4+3320*x^3+28*x^2-20*x-1,no spherical,9,24,82.69572003011940237898366484162956,0.12713870233144916446935012832137,0,0,no spherical,9,25,82.21526716285776604011270317876021,0.13545157071140596843926701196576,0,0,no spherical,9,26,81.56646252404429792600612337711779,0.14666206355598451422693622189428,0,0,no spherical,9,27,81.37451515992256032311509112656080,0.14997512190732167370329398866647,0,0,no spherical,9,28,81.36025988047509994374351806034096,0.15022110482233484500666951280126,0,31*x^2+2*x-1,no spherical,9,29,81.36025988047509994374351806034096,0.15022110482233484500666951280126,0,31*x^2+2*x-1,no spherical,9,30,81.36025988047509994374351806034096,0.15022110482233484500666951280126,0,31*x^2+2*x-1,no spherical,9,31,81.36025988047509994374351806034096,0.15022110482233484500666951280126,0,31*x^2+2*x-1,no spherical,9,32,81.36025988047509994374351806034096,0.15022110482233484500666951280126,0,31*x^2+2*x-1,no spherical,10,21,85.86922756255215254252562467970065,0.07203313984214689097267814366206,0,640*x^3-100*x^2-10*x+1,no spherical,10,22,85.18399762239600994758481562639966,0.08395615471838847066948704055021,0,0,no spherical,10,23,85.01716307608855479434686116116361,0.08685732654080788416875987795916,0,0,no spherical,10,24,84.33510092628997408494182728050967,0.09871013349961574400220437104983,1,613376*x^8-228096*x^7+40432*x^6+16416*x^5-8016*x^4-216*x^3+184*x^2-1,no spherical,10,25,84.00300089438494881057341225491142,0.10447637455518529630303057158420,2,0,no spherical,10,26,84.00292729231194909345418912755366,0.10447765212347525953178684587436,2,0,no spherical,10,27,82.86472401968381046705342077791511,0.12421241419098055856947587657933,0,0,no spherical,10,28,82.63217553629403240068661445184869,0.12823868446883383035640365542200,0,92*x^2-4*x-1,no spherical,10,29,82.49375262123563187253908379588596,0.13063429594350723450192868698071,0,1048576*x^13-7405568*x^12+18612224*x^11-25821184*x^10+20357120*x^9-9419776*x^8+2347264*x^7-166976*x^6-60544*x^5+15040*x^4-568*x^3-193*x^2+26*x-1,no spherical,10,30,82.04243958547137508091683068558780,0.13843956089234491690957456895262,0,0,no spherical,10,31,81.71396932030560284629358122094045,0.14411493980324056199859132544531,0,959694194388174715650339807402327771168*x^64+16107292953152423257277423816358360385392*x^63+90540360244591566249018316892243447613528*x^62+197058346307242646657595663152311339442076*x^61+110405400463645381591070759245747231918560*x^60-231897028414934384777400732287564996612562*x^59-405735069243610607042833386198372411316935*x^58-131314557942710280076668264989757432652988*x^57+209537900575210032585084408163105462618139*x^56+210830041975412142706676211944399890537162*x^55+12196374941154735183281887131247546733379*x^54-82295757165824737663523081072999487026036*x^53-41231303614626322543563814030707770027195*x^52+9156198499440249037424682434288515225252*x^51+15337364364034556712929671684745864103220*x^50+3349834213299982669145540080060318503880*x^49-2405686782841821113345262209462393244104*x^48-1557149990243945648975295000094522637720*x^47-48914578112423383986426975468405651416*x^46+267789482303019988591473799301416789912*x^45+93535355396355910767374749317692812216*x^44-12615564052098176183836359396286826528*x^43-17229133395243803394018113369780083040*x^42-3358091308966245759721406950529646656*x^41+1174967263348410092631693698246588608*x^40+710048011698346101077459614492683808*x^39+64026431151951375068677542096278416*x^38-54662126163915752135256681251244992*x^37-19859292602021158568093495091482096*x^36-40118060335053859972863078980960*x^35+1649498991816031541073987253690048*x^34+387713961615344659578498501245344*x^33-34993864858022141679005910084992*x^32-35138048715209584513403387475008*x^31-5243941450438182024018844229408*x^30+1126722087398806589581281058048*x^29+547408488266046553233758386336*x^28+45348153507504662342436320128*x^27-20809637725839678960316429376*x^26-6299562017865557489004060032*x^25-156647541799059189427658432*x^24+262338263422946097751312768*x^23+53014741185582228659637376*x^22-1751480937140358197161088*x^21-2353390159896238148690816*x^20-314394317620977309238016*x^19+32149138600220987153152*x^18+14991210112852493639680*x^17+1196716877062717284352*x^16-256470594625851341312*x^15-65366033814250521344*x^14-2059597736935583744*x^13+1203662104675501312*x^12+177536820602930176*x^11-3171102199536896*x^10-3214914911171072*x^9-249279077636864*x^8+19586713318912*x^7+4250558639872*x^6+120626781184*x^5-24882871040*x^4-2182530048*x^3+5866496*x^2+7569408*x+262144,no spherical,10,32,81.54924887861374196351888585409882,0.14695924301669103564198244582096,1,279*x^4-420*x^3+102*x^2-1,no spherical,11,23,86.20417042912042729212060451488947,0.06620127253123946651867717228392,0,891*x^3-121*x^2-11*x+1,no spherical,11,24,85.56679287692953277928081849687661,0.07729688069488853395571677916567,0,308630377356759397764211223357*x^54+1250056903993285440424882267506*x^53+451292039064668138547999818511*x^52-4547920040343804083169631697844*x^51-5626565634710479301047529020265*x^50+5722895114255640051007214751066*x^49+13093586798768786756663935291581*x^48-940135003800188601980533517648*x^47-14738379000277117807078073016026*x^46-4925238025492962657346761070868*x^45+8878363958398281004073370302658*x^44+5106412855379130112779751480344*x^43-3379635397470323334474380551414*x^42-2370821188042526192163815183732*x^41+1538348642180283379811015956718*x^40+1219388950591311271201663654384*x^39-505541072768961703685592384689*x^38-611940725177500458452809285866*x^37-11356880213393086675575963211*x^36+163048424579837532740090246132*x^35+50880875111703587831629192277*x^34-16303369047447452177010246050*x^33-12499571953118467066476229657*x^32-936846628550057753763599008*x^31+1247140951992854755720566404*x^30+371862130936411858661327240*x^29-34711506423203157368176532*x^28-36077756575137545648092848*x^27-4099277399042241746375556*x^26+1552870132400598980647432*x^25+473345318816097215337556*x^24-7366716486805066825376*x^23-22133129409250421557877*x^22-2551020705972905876482*x^21+490281481175088474633*x^20+137021779722001436404*x^19-13758402687375279*x^18-3558603380932936714*x^17-315632746296438725*x^16+47960610546958320*x^15+9442533113071350*x^14-135212425888820*x^13-145622650373710*x^12-6616087859176*x^11+1290440327642*x^10+125025072044*x^9-5672798754*x^8-1117518672*x^7-2083511*x^6+5657402*x^5+151123*x^4-15540*x^3-669*x^2+18*x+1,no spherical,11,25,85.20339725620965291421448003411845,0.08361875782883598879744264452381,0,0,no spherical,11,26,84.78132887746403773861380695926107,0.09095710678149019861518700080992,0,0,no spherical,11,27,84.45774803217907043974444006213338,0.09657976733774336498968777561990,0,0,no spherical,11,28,84.14207380255381358035583049749578,0.10206207261596575409155350311275,4,96*x^2-1,no spherical,11,29,83.76699904422190494849921443855078,0.10857194419424991594861451754294,3,0,no spherical,11,30,83.62062979155719613171583346115651,0.11111111111111111111111111111112,0,9*x-1,no spherical,11,31,83.28777079774670717422873522594895,0.11688271662887820937338660035349,1,1880159*x^4+662980*x^3+23850*x^2-9500*x-625,no spherical,11,32,82.69679003267851774601464010418772,0.12712017879076092950462557449550,0,0,no spherical,12,25,86.48660351232267423604065825066232,0.06128191457415120417840411389235,0,1200*x^3-144*x^2-12*x+1,no spherical,12,26,85.90395624184766728749502089192657,0.07142857142857142857142857142858,0,14*x-1,no spherical,12,27,85.71228435477866652047950625107686,0.07476492618150171900046741798712,0,0,no spherical,12,28,85.26241849962199173241062883459952,0.08259220626797780620169942560462,0,0,no spherical,12,29,85.16146608689673106871449037115439,0.08434800930948543817609523562697,1,496*x^4+92*x^3-57*x^2-8*x+1,no spherical,12,30,84.88548639117046286003528177685698,0.08914660143341378396187447349699,2,3856*x^4+1456*x^3+100*x^2-12*x-1,no spherical,12,31,84.33544882119447216179621892107059,0.09870409124008622425851938202713,2,863*x^2+6*x-9,no spherical,12,32,84.33544882119447216179621892107059,0.09870409124008622425851938202713,2,863*x^2+6*x-9,no spherical,13,27,86.72820743221797881588476373812048,0.05707252378225744920008530386950,0,1573*x^3-169*x^2-13*x+1,no spherical,13,28,86.17744627072565592258954502500064,0.06666666666666666666666666666667,0,15*x-1,no spherical,13,29,86.09521508953741869233276895693838,0.06809860947842661920489059247239,0,2576*x^4-640*x^3-184*x^2+1,no spherical,13,30,85.88755834693804299033436911861864,0.07171403472725743246612172136228,0,55*x^2+10*x-1,no spherical,13,31,85.88755834693804299033436911861864,0.07171403472725743246612172136228,0,55*x^2+10*x-1,no spherical,13,32,85.88755834693804299033436911861864,0.07171403472725743246612172136228,0,55*x^2+10*x-1,no spherical,14,29,86.93740093073654695880034161794277,0.05342698734150995608695304765938,0,2016*x^3-196*x^2-14*x+1,no spherical,14,30,86.41667830152802708533930034951524,0.06250000000000000000000000000000,0,16*x-1,no spherical,14,31,86.12460899190957035070816310747061,0.06758677109098814555067432244432,0,0,no spherical,14,32,85.90382237711584907584146688399887,0.07143090184092342423297534986236,0,0,no spherical,15,31,87.12041292542000784714168523646969,0.05023712037295819182915747580845,0,2535*x^3-225*x^2-15*x+1,no spherical,15,32,86.62327786108254877209601095926377,0.05890080848833338725817955269602,0,0,no projective,3,4,70.52877936550930863075400066003756,0.33333333333333333333333333333334,0,3*x-1,no projective,3,5,63.43494882292201064842780627954670,0.44721359549995793928183473374626,0,5*x^2-1,no projective,3,6,63.43494882292201064842780627954670,0.44721359549995793928183473374626,0,5*x^2-1,no projective,3,7,54.73561031724534568462299966998121,0.57735026918962576450914878050196,0,3*x^2-1,yes projective,3,8,49.63993310860389742493923002240324,0.64758897873417862734156471888316,0,1537*x^9+677*x^8-584*x^7-80*x^6+146*x^5-78*x^4-80*x^3-8*x^2+5*x+1,yes projective,3,9,47.98213263901537661792294942878183,0.66936231928109901015298754554435,0,13*x^3+x^2-5*x-1,yes projective,3,10,46.67462012128404521093686093105504,0.68614066163450716496265286705474,1,2*x^2+3*x-3,yes projective,3,11,44.40312667538491787697365266830151,0.71443449739467850485464566840562,0,5*x^6+200*x^5-115*x^4-40*x^3+15*x^2-1,yes projective,3,12,41.88204094448767774526036007277152,0.74452083820543412912980911157876,0,17*x^2-14*x+1,yes projective,3,13,39.81307975076508498806899179892640,0.76813737631458482294245319830313,0,x^5+13*x^4+42*x^3+42*x^2-75*x+9,yes projective,3,14,38.68242186271878245469605694479806,0.78062219278523604521158858789220,0,620141535144576532186425*x^111+38068438093151880625170885*x^110+922116325587625144662971112*x^109+10663557538128920052284890668*x^108+50176131816106177685896714351*x^107-98709885374933604095613917541*x^106+2961785945665870386284091194362*x^105+174080475200140381482803232275038*x^104+2704704670021673953617843745818691*x^103+21380223943815998056386032213631863*x^102+99466665211595135365371862858912068*x^101+309353592251396003499135857985252096*x^100+755537713372765069837359237866871781*x^99+1440840991427446102154881766696385241*x^98+1600625727651295242251048883983268498*x^97+307661698789790518649588145669522894*x^96-3057465648903772890793207844826201586*x^95-11923148857522071724362634811048565322*x^94-16589273082501028743242944835188645664*x^93+8894868791840835519910357478295141272*x^92+44821410812003253974206447254229369506*x^91+29318903867953318764538973102713372042*x^90-32571370242172886135753568200778386852*x^89-65772341967031219603220346757894593452*x^88-24743775302375785823448963535586900814*x^87+56247470617886464426998386905230910634*x^86+74405793352398862368630270078424953064*x^85-14286028472166047422524070113282007408*x^84-82789874598037368812893197707275347906*x^83-20858000772573730428579518221863117770*x^82+62244797249468694342196204772393015900*x^81+34649234244419355459112562193984660356*x^80-34718687624576487968820925353864680893*x^79-32998860315109915337509073487060566585*x^78+11541857159419463316205752250128325224*x^77+23478764061836294629594372361889587156*x^76+2394009483330911805451255977810811893*x^75-12473355053608259568392427976990003751*x^74-6847663920621925634792157473551521298*x^73+4895557248841765788205919951266851130*x^72+5930738264586504382504504562645381689*x^71-1672392252209499709848111662037372075*x^70-3953221357369824521777778924116053412*x^69+801995693843009178209852480337607952*x^68+2569217872503329101456945826896845119*x^67-475012972888121224058133068924529381*x^66-1659323592493843267526005745035054842*x^65+184276921775900325616093971801613498*x^64+954985119797274478297532130858815988*x^63-8884204604629115575638559177116572*x^62-453904331192783852256415943237352576*x^61-31405790075434835463785956213280432*x^60+177298296343911155099318925133197612*x^59+16750926870808195594172933786091804*x^58-60172302464800532610287856426348248*x^57-2878975228931469663981518529175432*x^56+19516110769132448717224535938728684*x^55-1067553044131580007194584483639620*x^54-6435291055556297347593517082117072*x^53+918789098615574340952942921840160*x^52+2082570540530861090274905556393652*x^51-358172111770713539887205958714236*x^50-610777845630980377597692820162328*x^49+103272865554644876742076341382616*x^48+154021435316860522471117280495279*x^47-27602188795679222138509275947645*x^46-33114371997454266655042242192712*x^45+7907525869485973932320356782228*x^44+6307681987383613840138674501353*x^43-2320368653738625585053302319587*x^42-1156871119610599917377001793610*x^41+615606472938367740198340920946*x^40+219748883306607459461001520645*x^39-138572612709006885889495955407*x^38-42361618635382916161883716292*x^37+26424914542182366544738900128*x^36+7674354737025496810478766227*x^35-4415272110503818412420418561*x^34-1262229004375640691994295554*x^33+674713083105582064474928610*x^32+195334967058175960822097438*x^31-95311788729136547777624698*x^30-30030418915580598914273120*x^29+11822288844652217230953624*x^28+4511358943150103661564690*x^27-1153425151184092000767558*x^26-604506189177915799021124*x^25+70760404626329892081908*x^24+65687390075031664235842*x^23+7343723994949039610*x^22-5379133889506557699224*x^21-540586377304220037808*x^20+308257696805237141806*x^19+63172625967714800614*x^18-10717093810505457668*x^17-4064941144887620764*x^16+101114077682589621*x^15+163436080812387153*x^14+9632704778109688*x^13-4045809265043476*x^12-521652283212333*x^11+54579688576271*x^10+12739420398882*x^9-189803577290*x^8-173364006241*x^7-4932311133*x^6+1320832676*x^5+72580432*x^4-5150167*x^3-385171*x^2+7722*x+726,yes projective,3,15,38.13494231207122157184699263557831,0.78655857113558130772653953634602,0,725*x^12+13490*x^11+2464*x^10-19426*x^9+4429*x^8+6132*x^7-4728*x^6+252*x^5+1119*x^4-454*x^3+88*x^2+6*x-1,no projective,3,16,37.37736814064969564285713849493751,0.79465447229176612295553092832760,0,45*x^4-30*x^2+1,no projective,4,5,75.52248781407007612122896520087283,0.25000000000000000000000000000000,0,4*x-1,no projective,4,6,70.52877936550930863075400066003756,0.33333333333333333333333333333334,0,3*x-1,no projective,4,7,67.02134330823037957099598718897022,0.39038820320220756872767623199676,0,4*x^2+x-1,no projective,4,8,65.53019947929780834865078988055737,0.41421356237309504880168872420970,0,x^2+2*x-1,no projective,4,9,64.26187661462771779834845404644122,0.43425854591066488218653687791175,0,3*x^2+x-1,no projective,4,10,64.26187661462771779834845404644122,0.43425854591066488218653687791175,0,3*x^2+x-1,yes projective,4,11,60.00000000000000000000000000000000,0.50000000000000000000000000000000,0,2*x-1,no projective,4,12,60.00000000000000000000000000000000,0.50000000000000000000000000000000,0,2*x-1,no projective,4,13,55.46460289540390742225599065742296,0.56691527068179906330992487897558,1,11*x^2-8*x+1,no projective,4,14,53.83756185561468502789580068152968,0.59007651527101322282935291615497,0,1024*x^14-3008*x^13+960*x^12+5888*x^11-5744*x^10-3812*x^9+6328*x^8+552*x^7-2728*x^6-57*x^5+605*x^4+68*x^3-56*x^2-15*x-1,no projective,4,15,52.50159006899752919534622790929021,0.60873941168052296928961201448826,0,768*x^10-256*x^9-1984*x^8+768*x^7+1632*x^6-728*x^5-388*x^4+240*x^3-51*x^2-18*x+18,no projective,4,16,51.82729237298775250653169866714976,0.61803398874989484820458683436564,1,x^2+x-1,no projective,5,6,78.46304096718451230986262848948731,0.20000000000000000000000000000000,0,5*x-1,no projective,5,7,73.36891411676058928587218034313065,0.28620826421558111221120097995740,0,x^3-9*x^2-x+1,no projective,5,8,70.80389108835636555759053705322263,0.32880251120576348843092644566680,0,169*x^7+27*x^6-15*x^5-21*x^4-29*x^3-7*x^2+3*x+1,no projective,5,9,70.52877936550930863075400066003756,0.33333333333333333333333333333334,0,3*x-1,no projective,5,10,70.52877936550930863075400066003756,0.33333333333333333333333333333334,0,3*x-1,no projective,5,11,67.25433424996223115606845660045316,0.38664119885581345037571121632975,1,29*x^5+43*x^4-38*x^3-10*x^2+9*x-1,no projective,5,12,67.02134330823037957099598718897022,0.39038820320220756872767623199676,0,4*x^2+x-1,no projective,5,13,65.73191170546411112226621768142922,0.41100667568798964514107873257679,0,81*x^7+189*x^6-119*x^5-75*x^4+43*x^3+15*x^2-5*x-1,no projective,5,14,65.72412595762296659871704684626071,0.41113055081625813204082106348155,0,49*x^4-26*x^3-16*x^2+10*x-1,no projective,5,15,65.53019947929780834865078988055737,0.41421356237309504880168872420970,0,x^2+2*x-1,no projective,5,16,63.43494882292201064842780627954670,0.44721359549995793928183473374626,0,5*x^2-1,yes projective,6,7,80.40593177313953855556147215930090,0.16666666666666666666666666666667,0,6*x-1,no projective,6,8,76.05778989196194115112700228626424,0.24094310926034164895054811006593,0,106*x^6-264*x^5-53*x^4+84*x^3+20*x^2-4*x-1,no projective,6,9,73.84373286559096880698918614084805,0.27825804947907715858960015942485,0,18*x^7-185*x^6-222*x^5+75*x^4+150*x^3+33*x^2-10*x-3,no projective,6,10,73.69345147611278435400760510932453,0.28077640640441513745535246399352,0,2*x^2+3*x-1,no projective,6,11,71.56505117707798935157219372045329,0.31622776601683793319988935444328,0,10*x^2-1,no projective,6,12,71.56505117707798935157219372045329,0.31622776601683793319988935444328,0,10*x^2-1,no projective,6,13,70.52877936550930863075400066003756,0.33333333333333333333333333333334,1,3*x-1,no projective,6,14,70.52877936550930863075400066003756,0.33333333333333333333333333333334,0,3*x-1,no projective,6,15,70.52877936550930863075400066003756,0.33333333333333333333333333333334,0,3*x-1,no projective,6,16,70.52877936550930863075400066003756,0.33333333333333333333333333333334,0,3*x-1,no projective,7,8,81.78678929826181121096505051973983,0.14285714285714285714285714285715,0,7*x-1,no projective,7,9,78.46304096718451230986262848948731,0.20000000000000000000000000000000,0,5*x-1,no projective,7,10,76.34541525402449498693660266570047,0.23606797749978969640917366873128,0,x^2+4*x-1,no projective,7,11,75.01791891615368019750800037747615,0.25851694486106515028856211348079,0,76*x^5-44*x^4-31*x^3+13*x^2+3*x-1,no projective,7,12,74.17337986812765503557560221279313,0.27272727272727272727272727272728,0,11*x-3,no projective,7,13,73.89788624801398471639314920558475,0.27735009811261456100917086672850,0,13*x^2-1,no projective,7,14,73.89788624801398471639314920558475,0.27735009811261456100917086672850,0,13*x^2-1,no projective,7,15,71.56775080024527214955571530032924,0.31618306625810221110773896871360,0,5152*x^8+4848*x^7-3364*x^6-2896*x^5+1057*x^4+572*x^3-158*x^2-36*x+9,no projective,7,16,70.98610673394449611283192399424235,0.32579741728791719861570522781737,0,0,no projective,8,9,82.81924421854171867696100437385144,0.12500000000000000000000000000000,0,8*x-1,no projective,8,10,79.47036912306999346266936086218739,0.18274399763155681014833407039277,0,19*x^2+2*x-1,no projective,8,11,77.86960404819235407696671759498103,0.21013725661767148165690452663564,0,253342*x^19-1560445*x^18+25746*x^17+10280209*x^16+2786088*x^15-26799812*x^14-30699504*x^13-4439348*x^12+10256804*x^11+5384474*x^10-355532*x^9-890634*x^8-141496*x^7+53068*x^6+16672*x^5-724*x^4-690*x^3-37*x^2+10*x+1,no projective,8,12,76.60503138478824299023379147831469,0.23166247903553998491149327366707,0,10*x^2+2*x-1,no projective,8,13,76.16887099561858389080144521373411,0.23906104311673605013508516180858,0,0,no projective,8,14,75.03494156434741140472444326408931,0.25822993164268312301618267398557,0,1856*x^11+7264*x^10+184*x^9-9760*x^8-1448*x^7+1785*x^6+186*x^5-17*x^4+16*x^3-17*x^2-2*x+1,no projective,8,15,74.33780449221571330243299474093471,0.26996519072292358265868340141656,0,0,no projective,8,16,74.10046152634479034474470141857092,0.27395147170889821586916164817386,0,9*x^4-14*x^2+1,no projective,9,10,83.62062979155719613171583346115651,0.11111111111111111111111111111112,0,9*x-1,no projective,9,11,80.62041468644675388022795488969295,0.16297443277324822659060918082968,0,4049*x^6-2188*x^5-907*x^4+208*x^3+59*x^2-4*x-1,no projective,9,12,79.47036912306999346266936086218739,0.18274399763155681014833407039277,0,19*x^2+2*x-1,no projective,9,13,77.94349477004604359437339329793022,0.20887624097518068198468149347108,0,0,no projective,9,14,77.23815708490940583219193003600005,0.22089903147727419339287508022539,0,1948*x^8-3089*x^7+369*x^6+1239*x^5-231*x^4-139*x^3+27*x^2+5*x-1,no projective,9,15,76.50822887158298627567314413407969,0.23330570880288229977333738574545,0,0,no projective,9,16,75.96375653207352141710767984083657,0.24253562503633297351890646211613,0,17*x^2-1,no projective,10,11,84.26082952273321368748509109606960,0.10000000000000000000000000000000,0,10*x-1,no projective,10,12,81.78678929826181121096505051973983,0.14285714285714285714285714285715,0,7*x-1,no projective,10,13,80.05285623285759709241063942360213,0.17273960369212825269887122191439,0,158*x^5+349*x^4+28*x^3-38*x^2-2*x+1,no projective,10,14,79.01542372329351652480222333147543,0.19054473957762242321193235020642,0,549015032919966508138027677096272016384*x^84+6679897366741564542669179503619975672064*x^83+18204064532670051706624005126594893268688*x^82-41226321918585187491952527852914749154016*x^81-309676799344329854634732833082047900405236*x^80-579652469384463466729523793166508168989480*x^79-192320984680828074315720279289724524876700*x^78+666328606894112719661461254657260924647220*x^77+587319582007024096311992585097072551804177*x^76+80312374966214657933447293494421807794492*x^75+2117541861269578856193675291427554785273940*x^74+5286369783964828558083256333782184510699248*x^73+2534334899699302962701778809962982615210610*x^72-6297049932420282222611439739978276109843368*x^71-9802003955724905080624132914886440867996208*x^70-1929830066518532099787375282493559591156308*x^69+7086823290090363698800387877121569083312433*x^68+6185599716298329793884998682501500713427508*x^67-867377281960267872274356507202018967474336*x^66-3974253940801766931040571033044776837124432*x^65-1498608885690605597844613947637139884584848*x^64+1135174130289385494946009148938906599199328*x^63+1074843147381610865468532766471926842907312*x^62-22202563069898216309133559416849738786480*x^61-374290714054113911200079956872967073797772*x^60-112100868233691328004222130939184365552144*x^59+75275899513599253611133723575145116852080*x^58+50678941219684140032931956675205952160064*x^57-5837133601845912913148056289317706852904*x^56-13156305721385501065221404387866967338272*x^55-1649424560328248413889887322927979395296*x^54+2332435342712987636490040781587079396080*x^53+765706373259878222807975540929574968868*x^52-279806299002221725089130530892838273776*x^51-176640311484655516515375758032493104960*x^50+16604438108394935632249969053954942720*x^49+29027747985771283279368340885400824024*x^48+1668920470547361202117583624215987024*x^47-3688461843479356164813539358115017704*x^46-662983163324571663170459343027357288*x^45+369431596736882303173053445262213774*x^44+115755045621998306943652746110878216*x^43-28385004177461287479632112465009096*x^42-14652999255367573451274364798989408*x^41+1452163571194008771261145895186892*x^40+1485754346810150787463719085821648*x^39-7379388250356194259006074509696*x^38-124963368353449649563667836142232*x^37-8595845904149874765548708108162*x^36+8820521741431326201447090963032*x^35+1204719378524791044255058393376*x^34-521322383365384812529934319968*x^33-109317168634861476450418321600*x^32+25369212319556138374915759328*x^31+7724557381519704131426927152*x^30-972249943822614131528769776*x^29-448475949668100785117076860*x^28+25610068999288549600832048*x^27+21850929779394410065205232*x^26-150866740923546977602240*x^25-901283007918243133519848*x^24-29722602900362174616992*x^23+31555579259631052209504*x^22+2109704230628849486000*x^21-937022607598102968940*x^20-91179355041979527344*x^19+23526026748878333680*x^18+2963522946411978080*x^17-497284457682777476*x^16-76438056501634920*x^15+8812660024804516*x^14+1588832748571348*x^13-130696299179927*x^12-26567284875108*x^11+1627657985044*x^10+352162805488*x^9-17173264174*x^8-3590525032*x^7+153787696*x^6+26625356*x^5-1123687*x^4-128492*x^3+5888*x^2+304*x-16,no projective,10,15,78.77156770908704590339727960620247,0.19472111361678885284305008159890,0,6*x^3-7*x^2-4*x+1,no projective,10,16,78.46304096718451230986262848948731,0.20000000000000000000000000000000,0,5*x-1,no projective,11,12,84.78409142954587633484654697408818,0.09090909090909090909090909090910,0,11*x-1,no projective,11,13,82.24200454869299084712048468871350,0.13498920127459953264187217399185,0,89*x^5-103*x^4-138*x^3-42*x^2+x+1,no projective,11,14,80.92225381731771444800119529035526,0.15777454145867061988851120512478,0,x^3+21*x^2+3*x-1,no projective,11,15,79.96359256915856914076881879627022,0.17427391850565105193695154876787,0,56804217966753831884369680610237588*x^102+1600767894577143349780727874680377018*x^101-119793196992507134288097116999737852*x^100-168022541921533968359827412672799934309*x^99-653885871887580416485634237875361334891*x^98+4994343133448723885894806139085769150055*x^97+35446290707750888838886455999836728899093*x^96-6061953235029491167281725903713329807640*x^95-567637511262670817012819045044697346126400*x^94-1242461101478910803255462315650155808347488*x^93+2278555040840862532930301456876363083641744*x^92+11494956728294826376804968311653369223964620*x^91+2630874135855686604348490957207179431757548*x^90-50296707037580177515274724752254764261603588*x^89-61521380634972578331527592018768514167195012*x^88+132079119883804959048921323322692815942006584*x^87+350987288350152189263202300865185186153583656*x^86-37665368355328390267160535755087392588525988*x^85-1005758748570082536631735923999977089340505640*x^84-989976730078590865527021958209274930400398938*x^83+1087476080043401308036810026389888824853577490*x^82+2960452474557604157692410349447282402917951390*x^81+1136914055774743115176352064191544027693484898*x^80-3251142669458335581407562546976898231437864392*x^79-4463732895049600472699456055058893044012614336*x^78-123565557960623671688561244156132166380169104*x^77+4593319744578910101776486387177287034656020336*x^76+3843492688090437311298558642441871247949799292*x^75-955313863742274971332078551203809105424279028*x^74-3712331342416720013874232619686842478217345364*x^73-1984891358390696612488477039914073470667858948*x^72+1035018610243312986427603873317460507309162280*x^71+1853823388849186286410163118867561714587912012*x^70+611282155501781669821412107441137205517811102*x^69-546347019162344173921534156224905517767290612*x^68-589649802205120542447796066231576085721956923*x^67-94891438402597778337928984391978442017762125*x^66+175264449859949293950316487504858075704529945*x^65+117884670956060375844254459222633924142534115*x^64-3432153868968725422962012083142161465496176*x^63-36932196599284014404681237962912501063013760*x^62-13479316384600292427760721476875223342643584*x^61+4944441452470433182580896530998085276123808*x^60+5075831587233456840963800980300870618776088*x^59+367396342393728762421720633194291593873176*x^58-1109446027409578471247747242824158524584584*x^57-400959503814562787254663694205168223273288*x^56+146752206708282813042050160850566209326000*x^55+133230298888610036838327690359159238963632*x^54+5414390795068923736893176368054795007208*x^53-26990849401661740105367348018546828806128*x^52-8991063359222013182710942090473440575660*x^51+2600459064601787134398534467170025696860*x^50+2390878792698730287828733366594353817700*x^49+233296176249026521082513008258331246460*x^48-319900048226765126551188105043451948304*x^47-121798368740858405356898983244181304960*x^46+13262550429305590351432434036357274016*x^45+19545978719442464304001213515367397856*x^44+3163046484855372501004870409201812696*x^43-1531780808658161335589835595243830472*x^42-698866178424527285277186431160230984*x^41+3048220965773324442199214674410776*x^40+68317001297518552399078243732428752*x^39+13785389733351449375230464832499436*x^38-3109281201146908634185249451512042*x^37-1703235166922386593857840782474532*x^36-78607582360814049603459048076587*x^35+107229862220629305934154247193931*x^34+23621440518159344580601589849865*x^33-2851584494233929503039217720277*x^32-1853610867779236699663443114488*x^31-126092783528327696342528400448*x^30+78458448985800856872788812384*x^29+17474851859899444805097891024*x^28-1215253823468863444334657764*x^27-925310149949245113758556804*x^26-70385384513181660664387956*x^25+26806903970696673359808844*x^24+5820984243113426700190872*x^23-222651906722604007805016*x^22-211488114069384377092996*x^21-16944189234589443313512*x^20+4100843461203584393574*x^19+878068974333937025714*x^18-10829382020002712610*x^17-21238203293887769534*x^16-1825329535109191592*x^15+250291913808649536*x^14+56478894987291248*x^13+765723885884336*x^12-814344881005908*x^11-79159581446340*x^10+4048031918748*x^9+1238555073644*x^8+54140641672*x^7-7108003916*x^6-949035822*x^5-22092908*x^4+3556459*x^3+345165*x^2+12951*x+189,no projective,11,16,79.72373706200256566250187720629029,0.17839458616266547701324680749673,0,9*x^2+4*x-1,no projective,12,13,85.21980815280084115760897153997236,0.08333333333333333333333333333334,0,12*x-1,no projective,12,14,82.93741873504045562259719782856134,0.12295337815830641009836335476174,0,32666*x^6-8248*x^5-3781*x^4+388*x^3+116*x^2-4*x-1,no projective,12,15,81.59287205432104507399220453738513,0.14620609896519678926426427287249,0,18898*x^6+2762*x^5-2709*x^4-312*x^3+92*x^2+6*x-1,no projective,12,16,80.71566582334384874476081260487622,0.16133398878131368888992070727444,0,9814*x^8+284*x^7-6059*x^6-180*x^5+917*x^4-108*x^3-65*x^2+4*x+1,no projective,13,14,85.58827421422982354574618634815500,0.07692307692307692307692307692308,0,13*x-1,no projective,13,15,83.62062979155719613171583346115651,0.11111111111111111111111111111112,0,9*x-1,no projective,13,16,82.24156501008816166112574485178805,0.13499680245071983220881421251035,0,11579*x^8-18738*x^7-22330*x^6-2658*x^5+1988*x^4+282*x^3-70*x^2-6*x+1,no projective,14,15,85.90395624184766728749502089192657,0.07142857142857142857142857142858,0,14*x-1,no projective,14,16,83.89024189667627996319554855956316,0.10643341651544703618977147422985,0,1078*x^5-398*x^4-397*x^3-71*x^2+3*x+1,no projective,15,16,86.17744627072565592258954502500064,0.06666666666666666666666666666667,0,15*x-1,no