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Display properties: number-header: $P_n(x)$-Data:- '0': '1'- '1': x- '2': 3/2*x^2 - 1/2- '3': 5/2*x^3 - 3/2*x- '4': 35/8*x^4 - 15/4*x^2 + 3/8- '5': 63/8*x^5 - 35/4*x^3 + 15/8*x- '6': 231/16*x^6 - 315/16*x^4 + 105/16*x^2 - 5/16- '7': 429/16*x^7 - 693/16*x^5 + 315/16*x^3 - 35/16*x- '8': 6435/128*x^8 - 3003/32*x^6 + 3465/64*x^4 - 315/32*x^2 + 35/128- '9': 12155/128*x^9 - 6435/32*x^7 + 9009/64*x^5 - 1155/32*x^3 + 315/128*x- '10': 46189/256*x^10 - 109395/256*x^8 + 45045/128*x^6 - 15015/128*x^4 + 3465/256*x^2+Numbers:+- params:+ n: '0'+ number: '1'+- params:+ n: '1'+ number: x+- params:+ n: '2'+ number: 3/2*x^2 - 1/2+- params:+ n: '3'+ number: 5/2*x^3 - 3/2*x+- params:+ n: '4'+ number: 35/8*x^4 - 15/4*x^2 + 3/8+- params:+ n: '5'+ number: 63/8*x^5 - 35/4*x^3 + 15/8*x+- params:+ n: '6'+ number: 231/16*x^6 - 315/16*x^4 + 105/16*x^2 - 5/16+- params:+ n: '7'+ number: 429/16*x^7 - 693/16*x^5 + 315/16*x^3 - 35/16*x+- params:+ n: '8'+ number: 6435/128*x^8 - 3003/32*x^6 + 3465/64*x^4 - 315/32*x^2 + 35/128+- params:+ n: '9'+ number: 12155/128*x^9 - 6435/32*x^7 + 9009/64*x^5 - 1155/32*x^3 + 315/128*x+- params:+ n: '10'+ number: 46189/256*x^10 - 109395/256*x^8 + 45045/128*x^6 - 15015/128*x^4 + 3465/256*x^2 - 63/256- '11': 88179/256*x^11 - 230945/256*x^9 + 109395/128*x^7 - 45045/128*x^5 + 15015/256*x^3+- params:+ n: '11'+ number: 88179/256*x^11 - 230945/256*x^9 + 109395/128*x^7 - 45045/128*x^5 + 15015/256*x^3 - 693/256*x- '12': 676039/1024*x^12 - 969969/512*x^10 + 2078505/1024*x^8 - 255255/256*x^6 + 225225/1024*x^4- - 9009/512*x^2 + 231/1024- '13': 1300075/1024*x^13 - 2028117/512*x^11 + 4849845/1024*x^9 - 692835/256*x^7 +- 765765/1024*x^5 - 45045/512*x^3 + 3003/1024*x- '14': 5014575/2048*x^14 - 16900975/2048*x^12 + 22309287/2048*x^10 - 14549535/2048*x^8+- params:+ n: '12'+ number: 676039/1024*x^12 - 969969/512*x^10 + 2078505/1024*x^8 - 255255/256*x^6 ++ 225225/1024*x^4 - 9009/512*x^2 + 231/1024+- params:+ n: '13'+ number: 1300075/1024*x^13 - 2028117/512*x^11 + 4849845/1024*x^9 - 692835/256*x^7+ + 765765/1024*x^5 - 45045/512*x^3 + 3003/1024*x+- params:+ n: '14'+ number: 5014575/2048*x^14 - 16900975/2048*x^12 + 22309287/2048*x^10 - 14549535/2048*x^8 + 4849845/2048*x^6 - 765765/2048*x^4 + 45045/2048*x^2 - 429/2048- '15': 9694845/2048*x^15 - 35102025/2048*x^13 + 50702925/2048*x^11 - 37182145/2048*x^9+- params:+ n: '15'+ number: 9694845/2048*x^15 - 35102025/2048*x^13 + 50702925/2048*x^11 - 37182145/2048*x^9 + 14549535/2048*x^7 - 2909907/2048*x^5 + 255255/2048*x^3 - 6435/2048*x- '16': 300540195/32768*x^16 - 145422675/4096*x^14 + 456326325/8192*x^12 - 185910725/4096*x^10+- params:+ n: '16'+ number: 300540195/32768*x^16 - 145422675/4096*x^14 + 456326325/8192*x^12 - 185910725/4096*x^10 + 334639305/16384*x^8 - 20369349/4096*x^6 + 4849845/8192*x^4 - 109395/4096*x^2 + 6435/32768- '17': 583401555/32768*x^17 - 300540195/4096*x^15 + 1017958725/8192*x^13 - 456326325/4096*x^11+- params:+ n: '17'+ number: 583401555/32768*x^17 - 300540195/4096*x^15 + 1017958725/8192*x^13 - 456326325/4096*x^11 + 929553625/16384*x^9 - 66927861/4096*x^7 + 20369349/8192*x^5 - 692835/4096*x^3 + 109395/32768*x- '18': 2268783825/65536*x^18 - 9917826435/65536*x^16 + 4508102925/16384*x^14 - 4411154475/16384*x^12- + 5019589575/32768*x^10 - 1673196525/32768*x^8 + 156165009/16384*x^6 - 14549535/16384*x^4- + 2078505/65536*x^2 - 12155/65536- '19': 4418157975/65536*x^19 - 20419054425/65536*x^17 + 9917826435/16384*x^15 - 10518906825/16384*x^13- + 13233463425/32768*x^11 - 5019589575/32768*x^9 + 557732175/16384*x^7 - 66927861/16384*x^5- + 14549535/65536*x^3 - 230945/65536*x- '20': 34461632205/262144*x^20 - 83945001525/131072*x^18 + 347123925225/262144*x^16+- params:+ n: '18'+ number: 2268783825/65536*x^18 - 9917826435/65536*x^16 + 4508102925/16384*x^14 -+ 4411154475/16384*x^12 + 5019589575/32768*x^10 - 1673196525/32768*x^8 + 156165009/16384*x^6+ - 14549535/16384*x^4 + 2078505/65536*x^2 - 12155/65536+- params:+ n: '19'+ number: 4418157975/65536*x^19 - 20419054425/65536*x^17 + 9917826435/16384*x^15 -+ 10518906825/16384*x^13 + 13233463425/32768*x^11 - 5019589575/32768*x^9 + 557732175/16384*x^7+ - 66927861/16384*x^5 + 14549535/65536*x^3 - 230945/65536*x+- params:+ n: '20'+ number: 34461632205/262144*x^20 - 83945001525/131072*x^18 + 347123925225/262144*x^16 - 49589132175/32768*x^14 + 136745788725/131072*x^12 - 29113619535/65536*x^10 + 15058768725/131072*x^8 - 557732175/32768*x^6 + 334639305/262144*x^4 - 4849845/131072*x^2 + 46189/262144- '21': 67282234305/262144*x^21 - 172308161025/131072*x^19 + 755505013725/262144*x^17+- params:+ n: '21'+ number: 67282234305/262144*x^21 - 172308161025/131072*x^19 + 755505013725/262144*x^17 - 115707975075/32768*x^15 + 347123925225/131072*x^13 - 82047473235/65536*x^11 + 48522699225/131072*x^9 - 2151252675/32768*x^7 + 1673196525/262144*x^5 - 37182145/131072*x^3 + 969969/262144*x- '22': 263012370465/524288*x^22 - 1412926920405/524288*x^20 + 3273855059475/524288*x^18+- params:+ n: '22'+ number: 263012370465/524288*x^22 - 1412926920405/524288*x^20 + 3273855059475/524288*x^18 - 4281195077775/524288*x^16 + 1735619626125/262144*x^14 - 902522205585/262144*x^12 + 300840735195/262144*x^10 - 62386327575/262144*x^8 + 15058768725/524288*x^6 - 929553625/524288*x^4 + 22309287/524288*x^2 - 88179/524288- '23': 514589420475/524288*x^23 - 2893136075115/524288*x^21 + 7064634602025/524288*x^19+- params:+ n: '23'+ number: 514589420475/524288*x^23 - 2893136075115/524288*x^21 + 7064634602025/524288*x^19 - 9821565178425/524288*x^17 + 4281195077775/262144*x^15 - 2429867476575/262144*x^13 + 902522205585/262144*x^11 - 214886239425/262144*x^9 + 62386327575/524288*x^7 - 5019589575/524288*x^5 + 185910725/524288*x^3 - 2028117/524288*x- '24': 8061900920775/4194304*x^24 - 11835556670925/1048576*x^22 + 60755857577415/2097152*x^20+- params:+ n: '24'+ number: 8061900920775/4194304*x^24 - 11835556670925/1048576*x^22 + 60755857577415/2097152*x^20 - 44742685812825/1048576*x^18 + 166966608033225/4194304*x^16 - 12843585233325/524288*x^14 + 10529425731825/1048576*x^12 - 1418249180205/524288*x^10 + 1933976154825/4194304*x^8 - 48522699225/1048576*x^6 + 5019589575/2097152*x^4 - 50702925/1048576*x^2 + 676039/4194304- '25': 15801325804719/4194304*x^25 - 24185702762325/1048576*x^23 + 130191123380175/2097152*x^21+- params:+ n: '25'+ number: 15801325804719/4194304*x^25 - 24185702762325/1048576*x^23 + 130191123380175/2097152*x^21 - 101259762629025/1048576*x^19 + 402684172315425/4194304*x^17 - 33393321606645/524288*x^15 + 29968365544425/1048576*x^13 - 4512611027925/524288*x^11 + 7091245901025/4194304*x^9 - 214886239425/1048576*x^7 + 29113619535/2097152*x^5 - 456326325/1048576*x^3 + 16900975/4194304*x- '26': 61989816618513/8388608*x^26 - 395033145117975/8388608*x^24 + 556271163533475/4194304*x^22+- params:+ n: '26'+ number: 61989816618513/8388608*x^26 - 395033145117975/8388608*x^24 + 556271163533475/4194304*x^22 - 911337863661225/4194304*x^20 + 1923935489951475/8388608*x^18 - 1369126185872445/8388608*x^16 + 166966608033225/2097152*x^14 - 55655536011075/2097152*x^12 + 49638721307175/8388608*x^10 - 7091245901025/8388608*x^8 + 300840735195/4194304*x^6 - 13233463425/4194304*x^4 + 456326325/8388608*x^2 - 1300075/8388608- '27': 121683714103007/8388608*x^27 - 805867616040669/8388608*x^25 + 1185099435353925/4194304*x^23+- params:+ n: '27'+ number: 121683714103007/8388608*x^27 - 805867616040669/8388608*x^25 + 1185099435353925/4194304*x^23 - 2039660932956075/4194304*x^21 + 4556689318306125/8388608*x^19 - 3463083881912655/8388608*x^17 + 456375395290815/2097152*x^15 - 166966608033225/2097152*x^13 + 166966608033225/8388608*x^11 - 27577067392875/8388608*x^9 + 1418249180205/4194304*x^7 - 82047473235/4194304*x^5 + 4411154475/8388608*x^3 - 35102025/8388608*x- '28': 956086325095055/33554432*x^28 - 3285460280781189/16777216*x^26 + 20146690401016725/33554432*x^24+- params:+ n: '28'+ number: 956086325095055/33554432*x^28 - 3285460280781189/16777216*x^26 + 20146690401016725/33554432*x^24 - 9085762337713425/8388608*x^22 + 42832879592077575/33554432*x^20 - 17315419409563275/16777216*x^18 + 19624141997505045/33554432*x^16 - 977947275623175/4194304*x^14 + 2170565904431925/33554432*x^12 - 204070298707275/16777216*x^10 + 49638721307175/33554432*x^8 - 902522205585/8388608*x^6 + 136745788725/33554432*x^4 - 1017958725/16777216*x^2 + 5014575/33554432- '29': 1879204156221315/33554432*x^29 - 6692604275665385/16777216*x^27 + 42710983650155457/33554432*x^25+- params:+ n: '29'+ number: 1879204156221315/33554432*x^29 - 6692604275665385/16777216*x^27 + 42710983650155457/33554432*x^25 - 20146690401016725/8388608*x^23 + 99943385714847675/33554432*x^21 - 42832879592077575/16777216*x^19 + 51946258228689825/33554432*x^17 - 2803448856786435/4194304*x^15 + 6845630929362225/33554432*x^13 - 723521968143975/16777216*x^11 + 204070298707275/33554432*x^9 - 4512611027925/8388608*x^7 + 902522205585/33554432*x^5 - 10518906825/16777216*x^3 + 145422675/33554432*x- '30': 7391536347803839/67108864*x^30 - 54496920530418135/67108864*x^28 + 180700315442965395/67108864*x^26+- params:+ n: '30'+ number: 7391536347803839/67108864*x^30 - 54496920530418135/67108864*x^28 + 180700315442965395/67108864*x^26 - 355924863751295475/67108864*x^24 + 463373879223384675/67108864*x^22 - 419762220002360235/67108864*x^20 + 271274904083157975/67108864*x^18 - 126155198555389575/67108864*x^16 + 42051732851796525/67108864*x^14
+ 10529425731825/67108864*x^6 - 347123925225/67108864*x^4 + 4508102925/67108864*x^2 - 9694845/67108864- '31': 14544636039226909/67108864*x^31 - 110873045217057585/67108864*x^29 + 381478443712926945/67108864*x^27+- params:+ n: '31'+ number: 14544636039226909/67108864*x^31 - 110873045217057585/67108864*x^29 + 381478443712926945/67108864*x^27 - 783034700252850045/67108864*x^25 + 1067774591253886425/67108864*x^23 - 1019422534291446285/67108864*x^21 + 699603700003933725/67108864*x^19 - 348782019535488825/67108864*x^17 + 126155198555389575/67108864*x^15
+ 55655536011075/67108864*x^7 - 2429867476575/67108864*x^5 + 49589132175/67108864*x^3 - 300540195/67108864*x- '32': 916312070471295267/2147483648*x^32 - 450883717216034179/134217728*x^30 + 3215318311294669965/268435456*x^28- - 3433305993416342505/134217728*x^26 + 19575867506321251125/536870912*x^24 - 4911763119767877555/134217728*x^22- + 7135957740040123995/268435456*x^20 - 1898924328582105825/134217728*x^18 + 5929294332103310025/1073741824*x^16- - 210258664258982625/134217728*x^14 + 85037948655855195/268435456*x^12 - 5932880138780595/134217728*x^10- + 2170565904431925/536870912*x^8 - 29968365544425/134217728*x^6 + 1735619626125/268435456*x^4- - 9917826435/134217728*x^2 + 300540195/2147483648- '33': 1804857108504066435/2147483648*x^33 - 916312070471295267/134217728*x^31 +- 6763255758240512685/268435456*x^29 - 7502409393020896585/134217728*x^27 + 44632977914412452565/536870912*x^25+- params:+ n: '32'+ number: 916312070471295267/2147483648*x^32 - 450883717216034179/134217728*x^30 ++ 3215318311294669965/268435456*x^28 - 3433305993416342505/134217728*x^26 + 19575867506321251125/536870912*x^24+ - 4911763119767877555/134217728*x^22 + 7135957740040123995/268435456*x^20 - 1898924328582105825/134217728*x^18+ + 5929294332103310025/1073741824*x^16 - 210258664258982625/134217728*x^14 + 85037948655855195/268435456*x^12+ - 5932880138780595/134217728*x^10 + 2170565904431925/536870912*x^8 - 29968365544425/134217728*x^6+ + 1735619626125/268435456*x^4 - 9917826435/134217728*x^2 + 300540195/2147483648+- params:+ n: '33'+ number: 1804857108504066435/2147483648*x^33 - 916312070471295267/134217728*x^31+ + 6763255758240512685/268435456*x^29 - 7502409393020896585/134217728*x^27 + 44632977914412452565/536870912*x^25 - 11745520503792750675/134217728*x^23 + 18009798105815551035/268435456*x^21 - 5097112671457231425/134217728*x^19 + 17090318957238952425/1073741824*x^17 - 658810481344812225/134217728*x^15
- 166966608033225/134217728*x^7 + 12843585233325/268435456*x^5 - 115707975075/134217728*x^3 + 9917826435/2147483648*x- '34': 7113260368810144185/4294967296*x^34 - 59560284580634192355/4294967296*x^32+- params:+ n: '34'+ number: 7113260368810144185/4294967296*x^34 - 59560284580634192355/4294967296*x^32 + 28405674184610153277/536870912*x^30 - 65378138996324955955/536870912*x^28 + 202565053611564207795/1073741824*x^26 - 223164889572062262825/1073741824*x^24
- 6845630929362225/1073741824*x^8 + 166966608033225/536870912*x^6 - 4281195077775/536870912*x^4 + 347123925225/4294967296*x^2 - 583401555/4294967296- '35': 14023284727082855679/4294967296*x^35 - 120925426269772451145/4294967296*x^33+- params:+ n: '35'+ number: 14023284727082855679/4294967296*x^35 - 120925426269772451145/4294967296*x^33 + 59560284580634192355/536870912*x^31 - 142028370923050766385/536870912*x^29 + 457646972974274691685/1073741824*x^27 - 526669139390066940267/1073741824*x^25
- 32706903329175075/1073741824*x^9 + 977947275623175/536870912*x^7 - 33393321606645/536870912*x^5 + 4281195077775/4294967296*x^3 - 20419054425/4294967296*x- '36': 110628135069209194801/17179869184*x^36 - 490814965447899948765/8589934592*x^34+- params:+ n: '36'+ number: 110628135069209194801/17179869184*x^36 - 490814965447899948765/8589934592*x^34 + 3990539066902490887785/17179869184*x^32 - 615456273999886654335/1073741824*x^30 + 4118822756768472225165/4294967296*x^28 - 2471293654061083335099/2147483648*x^26
- 456375395290815/1073741824*x^6 + 166966608033225/17179869184*x^4 - 755505013725/8589934592*x^2 + 2268783825/17179869184- '37': 218266320541953276229/17179869184*x^37 - 995653215622882753209/8589934592*x^35+- params:+ n: '37'+ number: 218266320541953276229/17179869184*x^37 - 995653215622882753209/8589934592*x^35 + 8343854412614299129005/17179869184*x^33 - 1330179688967496962595/1073741824*x^31 + 9231844109998299815025/4294967296*x^29 - 5766351859475861115231/2147483648*x^27
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