Data:9 29/A-polynomial

From Knot Atlas

$-M^{124}-2 M^{122}-M^{120}+L^{19} \left(M^{28}+2 M^{26}+M^{24}\right)+L^{18} \left(-M^{44}+M^{42}+4 M^{40}+4 M^{38}-11 M^{36}-21 M^{34}+81 M^{32}+84 M^{30}-86 M^{28}-32 M^{26}+53 M^{24}-6 M^{22}-5 M^{20}+5 M^{18}-2 M^{16}\right)+L^{17} \left(-8 M^{54}+29 M^{52}+24 M^{50}-173 M^{48}+30 M^{46}+410 M^{44}-28 M^{42}-839 M^{40}+325 M^{38}+2255 M^{36}-737 M^{34}-2509 M^{32}+1454 M^{30}+1318 M^{28}-1201 M^{26}-10 M^{24}+367 M^{22}-253 M^{20}+86 M^{18}+31 M^{16}-52 M^{14}+27 M^{12}-7 M^{10}+M^8\right)+L^{16} \left(-28 M^{64}+176 M^{62}-144 M^{60}-1025 M^{58}+1910 M^{56}+2123 M^{54}-6664 M^{52}-2128 M^{50}+13590 M^{48}+464 M^{46}-18372 M^{44}+9135 M^{42}+18704 M^{40}-18680 M^{38}-9039 M^{36}+19328 M^{34}-1829 M^{32}-8989 M^{30}+5094 M^{28}-1055 M^{26}-1431 M^{24}+3227 M^{22}-1707 M^{20}-980 M^{18}+1472 M^{16}-420 M^{14}-261 M^{12}+265 M^{10}-103 M^8+21 M^6-2 M^4\right)+L^{15} \left(-56 M^{74}+504 M^{72}-1164 M^{70}-1478 M^{68}+8241 M^{66}-573 M^{64}-29416 M^{62}+17059 M^{60}+70088 M^{58}-68098 M^{56}-121691 M^{54}+173664 M^{52}+151832 M^{50}-285771 M^{48}-114546 M^{46}+341552 M^{44}+39112 M^{42}-303143 M^{40}+23872 M^{38}+214063 M^{36}-43885 M^{34}-129057 M^{32}+37777 M^{30}+69788 M^{28}-29348 M^{26}-31999 M^{24}+22100 M^{22}+8785 M^{20}-12444 M^{18}+1118 M^{16}+3916 M^{14}-1994 M^{12}-232 M^{10}+656 M^8-334 M^6+91 M^4-14 M^2+1\right)+L^{14} \left(-70 M^{84}+826 M^{82}-3120 M^{80}+1955 M^{78}+12619 M^{76}-15451 M^{74}-44269 M^{72}+64740 M^{70}+133228 M^{68}-218556 M^{66}-296047 M^{64}+554327 M^{62}+454308 M^{60}-998353 M^{58}-477477 M^{56}+1383358 M^{54}+363228 M^{52}-1518049 M^{50}-149848 M^{48}+1402992 M^{46}-74808 M^{44}-1125409 M^{42}+272298 M^{40}+795377 M^{38}-396184 M^{36}-477105 M^{34}+396489 M^{32}+209693 M^{30}-290074 M^{28}-38559 M^{26}+153396 M^{24}-27893 M^{22}-52835 M^{20}+28065 M^{18}+6899 M^{16}-10729 M^{14}+2464 M^{12}+1605 M^{10}-1438 M^8+546 M^6-122 M^4+16 M^2-1\right)+L^{13} \left(-56 M^{94}+826 M^{92}-4356 M^{90}+8476 M^{88}+3487 M^{86}-26880 M^{84}-12525 M^{82}+75664 M^{80}+96642 M^{78}-258250 M^{76}-318011 M^{74}+702547 M^{72}+634945 M^{70}-1333859 M^{68}-958277 M^{66}+1905108 M^{64}+1220508 M^{62}-2097372 M^{60}-1235663 M^{58}+1940740 M^{56}+931579 M^{54}-1615289 M^{52}-320881 M^{50}+1303124 M^{48}-315148 M^{46}-947848 M^{44}+687523 M^{42}+492820 M^{40}-736985 M^{38}-83906 M^{36}+557828 M^{34}-133060 M^{32}-307419 M^{30}+160175 M^{28}+116138 M^{26}-102551 M^{24}-22642 M^{22}+44770 M^{20}-5334 M^{18}-11699 M^{16}+4913 M^{14}+1643 M^{12}-2226 M^{10}+969 M^8-234 M^6+32 M^4-2 M^2\right)+L^{12} \left(-28 M^{104}+504 M^{102}-3456 M^{100}+10767 M^{98}-11463 M^{96}-13184 M^{94}+27865 M^{92}+16781 M^{90}+1794 M^{88}-103869 M^{86}-103134 M^{84}+348982 M^{82}+242106 M^{80}-629544 M^{78}-411446 M^{76}+686773 M^{74}+596580 M^{72}-316116 M^{70}-697787 M^{68}-145546 M^{66}+763998 M^{64}+294470 M^{62}-799039 M^{60}-10989 M^{58}+920688 M^{56}-245029 M^{54}-970107 M^{52}+232116 M^{50}+803909 M^{48}-158767 M^{46}-575539 M^{44}+150688 M^{42}+383919 M^{40}-165093 M^{38}-223311 M^{36}+136827 M^{34}+92343 M^{32}-80134 M^{30}-17639 M^{28}+31254 M^{26}-6370 M^{24}-4174 M^{22}+3586 M^{20}-640 M^{18}-1812 M^{16}+2290 M^{14}-1394 M^{12}+513 M^{10}-118 M^8+16 M^6-M^4\right)+L^{11} \left(-8 M^{114}+176 M^{112}-1524 M^{110}+6585 M^{108}-13987 M^{106}+8387 M^{104}+18590 M^{102}-27114 M^{100}-7259 M^{98}+12679 M^{96}+22594 M^{94}+37185 M^{92}-178027 M^{90}+18272 M^{88}+575125 M^{86}-421391 M^{84}-1206005 M^{82}+1351721 M^{80}+1790770 M^{78}-2611796 M^{76}-1828551 M^{74}+4083677 M^{72}+1250828 M^{70}-5636965 M^{68}-469443 M^{66}+7007445 M^{64}+201270 M^{62}-7281313 M^{60}-264468 M^{58}+6040423 M^{56}+39975 M^{54}-4042838 M^{52}+365602 M^{50}+2183041 M^{48}-578499 M^{46}-911128 M^{44}+485464 M^{42}+235035 M^{40}-277385 M^{38}+16344 M^{36}+111300 M^{34}-54051 M^{32}-29025 M^{30}+32443 M^{28}+225 M^{26}-9358 M^{24}+510 M^{22}+4573 M^{20}-3375 M^{18}+1249 M^{16}-275 M^{14}+35 M^{12}-2 M^{10}\right)+L^{10} \left(-M^{124}+29 M^{122}-324 M^{120}+1897 M^{118}-6332 M^{116}+11514 M^{114}-7188 M^{112}-12386 M^{110}+25918 M^{108}-4478 M^{106}-33384 M^{104}+50264 M^{102}-48582 M^{100}-69943 M^{98}+328490 M^{96}-74512 M^{94}-872562 M^{92}+559277 M^{90}+1624041 M^{88}-1452065 M^{86}-2579869 M^{84}+2749903 M^{82}+4019270 M^{80}-3899947 M^{78}-5935872 M^{76}+4044197 M^{74}+7495676 M^{72}-2697591 M^{70}-7140908 M^{68}+960852 M^{66}+4841449 M^{64}-148056 M^{62}-2307298 M^{60}+101887 M^{58}+725900 M^{56}-183725 M^{54}-164063 M^{52}+118228 M^{50}+72304 M^{48}-34042 M^{46}-94948 M^{44}+13162 M^{42}+87043 M^{40}-20119 M^{38}-50664 M^{36}+21123 M^{34}+16996 M^{32}-10569 M^{30}-5578 M^{28}+8029 M^{26}-3910 M^{24}+1085 M^{22}-189 M^{20}+20 M^{18}-M^{16}\right)+L^9 \left(M^{132}-20 M^{130}+189 M^{128}-1085 M^{126}+3910 M^{124}-8029 M^{122}+5578 M^{120}+10569 M^{118}-16996 M^{116}-21123 M^{114}+50664 M^{112}+20119 M^{110}-87043 M^{108}-13162 M^{106}+94948 M^{104}+34042 M^{102}-72304 M^{100}-118228 M^{98}+164063 M^{96}+183725 M^{94}-725900 M^{92}-101887 M^{90}+2307298 M^{88}+148056 M^{86}-4841449 M^{84}-960852 M^{82}+7140908 M^{80}+2697591 M^{78}-7495676 M^{76}-4044197 M^{74}+5935872 M^{72}+3899947 M^{70}-4019270 M^{68}-2749903 M^{66}+2579869 M^{64}+1452065 M^{62}-1624041 M^{60}-559277 M^{58}+872562 M^{56}+74512 M^{54}-328490 M^{52}+69943 M^{50}+48582 M^{48}-50264 M^{46}+33384 M^{44}+4478 M^{42}-25918 M^{40}+12386 M^{38}+7188 M^{36}-11514 M^{34}+6332 M^{32}-1897 M^{30}+324 M^{28}-29 M^{26}+M^{24}\right)+L \left(2 M^{132}-5 M^{130}+5 M^{128}+6 M^{126}-53 M^{124}+32 M^{122}+86 M^{120}-84 M^{118}-81 M^{116}+21 M^{114}+11 M^{112}-4 M^{110}-4 M^{108}-M^{106}+M^{104}\right)+L^8 \left(2 M^{138}-35 M^{136}+275 M^{134}-1249 M^{132}+3375 M^{130}-4573 M^{128}-510 M^{126}+9358 M^{124}-225 M^{122}-32443 M^{120}+29025 M^{118}+54051 M^{116}-111300 M^{114}-16344 M^{112}+277385 M^{110}-235035 M^{108}-485464 M^{106}+911128 M^{104}+578499 M^{102}-2183041 M^{100}-365602 M^{98}+4042838 M^{96}-39975 M^{94}-6040423 M^{92}+264468 M^{90}+7281313 M^{88}-201270 M^{86}-7007445 M^{84}+469443 M^{82}+5636965 M^{80}-1250828 M^{78}-4083677 M^{76}+1828551 M^{74}+2611796 M^{72}-1790770 M^{70}-1351721 M^{68}+1206005 M^{66}+421391 M^{64}-575125 M^{62}-18272 M^{60}+178027 M^{58}-37185 M^{56}-22594 M^{54}-12679 M^{52}+7259 M^{50}+27114 M^{48}-18590 M^{46}-8387 M^{44}+13987 M^{42}-6585 M^{40}+1524 M^{38}-176 M^{36}+8 M^{34}\right)+L^2 \left(-M^{140}+7 M^{138}-27 M^{136}+52 M^{134}-31 M^{132}-86 M^{130}+253 M^{128}-367 M^{126}+10 M^{124}+1201 M^{122}-1318 M^{120}-1454 M^{118}+2509 M^{116}+737 M^{114}-2255 M^{112}-325 M^{110}+839 M^{108}+28 M^{106}-410 M^{104}-30 M^{102}+173 M^{100}-24 M^{98}-29 M^{96}+8 M^{94}\right)+L^7 \left(M^{144}-16 M^{142}+118 M^{140}-513 M^{138}+1394 M^{136}-2290 M^{134}+1812 M^{132}+640 M^{130}-3586 M^{128}+4174 M^{126}+6370 M^{124}-31254 M^{122}+17639 M^{120}+80134 M^{118}-92343 M^{116}-136827 M^{114}+223311 M^{112}+165093 M^{110}-383919 M^{108}-150688 M^{106}+575539 M^{104}+158767 M^{102}-803909 M^{100}-232116 M^{98}+970107 M^{96}+245029 M^{94}-920688 M^{92}+10989 M^{90}+799039 M^{88}-294470 M^{86}-763998 M^{84}+145546 M^{82}+697787 M^{80}+316116 M^{78}-596580 M^{76}-686773 M^{74}+411446 M^{72}+629544 M^{70}-242106 M^{68}-348982 M^{66}+103134 M^{64}+103869 M^{62}-1794 M^{60}-16781 M^{58}-27865 M^{56}+13184 M^{54}+11463 M^{52}-10767 M^{50}+3456 M^{48}-504 M^{46}+28 M^{44}\right)+L^3 \left(2 M^{144}-21 M^{142}+103 M^{140}-265 M^{138}+261 M^{136}+420 M^{134}-1472 M^{132}+980 M^{130}+1707 M^{128}-3227 M^{126}+1431 M^{124}+1055 M^{122}-5094 M^{120}+8989 M^{118}+1829 M^{116}-19328 M^{114}+9039 M^{112}+18680 M^{110}-18704 M^{108}-9135 M^{106}+18372 M^{104}-464 M^{102}-13590 M^{100}+2128 M^{98}+6664 M^{96}-2123 M^{94}-1910 M^{92}+1025 M^{90}+144 M^{88}-176 M^{86}+28 M^{84}\right)+L^6 \left(2 M^{146}-32 M^{144}+234 M^{142}-969 M^{140}+2226 M^{138}-1643 M^{136}-4913 M^{134}+11699 M^{132}+5334 M^{130}-44770 M^{128}+22642 M^{126}+102551 M^{124}-116138 M^{122}-160175 M^{120}+307419 M^{118}+133060 M^{116}-557828 M^{114}+83906 M^{112}+736985 M^{110}-492820 M^{108}-687523 M^{106}+947848 M^{104}+315148 M^{102}-1303124 M^{100}+320881 M^{98}+1615289 M^{96}-931579 M^{94}-1940740 M^{92}+1235663 M^{90}+2097372 M^{88}-1220508 M^{86}-1905108 M^{84}+958277 M^{82}+1333859 M^{80}-634945 M^{78}-702547 M^{76}+318011 M^{74}+258250 M^{72}-96642 M^{70}-75664 M^{68}+12525 M^{66}+26880 M^{64}-3487 M^{62}-8476 M^{60}+4356 M^{58}-826 M^{56}+56 M^{54}\right)+L^4 \left(-M^{148}+14 M^{146}-91 M^{144}+334 M^{142}-656 M^{140}+232 M^{138}+1994 M^{136}-3916 M^{134}-1118 M^{132}+12444 M^{130}-8785 M^{128}-22100 M^{126}+31999 M^{124}+29348 M^{122}-69788 M^{120}-37777 M^{118}+129057 M^{116}+43885 M^{114}-214063 M^{112}-23872 M^{110}+303143 M^{108}-39112 M^{106}-341552 M^{104}+114546 M^{102}+285771 M^{100}-151832 M^{98}-173664 M^{96}+121691 M^{94}+68098 M^{92}-70088 M^{90}-17059 M^{88}+29416 M^{86}+573 M^{84}-8241 M^{82}+1478 M^{80}+1164 M^{78}-504 M^{76}+56 M^{74}\right)+L^5 \left(M^{148}-16 M^{146}+122 M^{144}-546 M^{142}+1438 M^{140}-1605 M^{138}-2464 M^{136}+10729 M^{134}-6899 M^{132}-28065 M^{130}+52835 M^{128}+27893 M^{126}-153396 M^{124}+38559 M^{122}+290074 M^{120}-209693 M^{118}-396489 M^{116}+477105 M^{114}+396184 M^{112}-795377 M^{110}-272298 M^{108}+1125409 M^{106}+74808 M^{104}-1402992 M^{102}+149848 M^{100}+1518049 M^{98}-363228 M^{96}-1383358 M^{94}+477477 M^{92}+998353 M^{90}-454308 M^{88}-554327 M^{86}+296047 M^{84}+218556 M^{82}-133228 M^{80}-64740 M^{78}+44269 M^{76}+15451 M^{74}-12619 M^{72}-1955 M^{70}+3120 M^{68}-826 M^{66}+70 M^{64}\right)$

Retrieved from "http://katlas.math.toronto.edu/wiki/Data:9_29/A-polynomial"

Data:9 29/A-polynomial

From Knot Atlas

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