Data:9 36/A-polynomial

From Knot Atlas

$L^{22} M^{184}+M^8+L \left(6 M^{22}-17 M^{20}+5 M^{18}+47 M^{16}-30 M^{14}-9 M^{12}+29 M^{10}-19 M^8+8 M^6-2 M^4\right)+L^2 \left(15 M^{36}-86 M^{34}+156 M^{32}+64 M^{30}-521 M^{28}+473 M^{26}+383 M^{24}-626 M^{22}+192 M^{20}+283 M^{18}-261 M^{16}+88 M^{14}+31 M^{12}-110 M^{10}+125 M^8-80 M^6+32 M^4-8 M^2+1\right)+L^3 \left(20 M^{50}-175 M^{48}+596 M^{46}-790 M^{44}-521 M^{42}+2973 M^{40}-2742 M^{38}-1511 M^{36}+4912 M^{34}-2408 M^{32}-2421 M^{30}+4970 M^{28}-1264 M^{26}-2800 M^{24}+2719 M^{22}-427 M^{20}-1050 M^{18}+1109 M^{16}-316 M^{14}-459 M^{12}+672 M^{10}-458 M^8+200 M^6-59 M^4+11 M^2-1\right)+L^4 \left(15 M^{64}-180 M^{62}+924 M^{60}-2499 M^{58}+3038 M^{56}+1737 M^{54}-11038 M^{52}+11859 M^{50}+4908 M^{48}-19820 M^{46}+11512 M^{44}+10192 M^{42}-19713 M^{40}+8090 M^{38}+14321 M^{36}-11708 M^{34}-4649 M^{32}+7049 M^{30}+921 M^{28}-3122 M^{26}+890 M^{24}-188 M^{22}-159 M^{20}+907 M^{18}-184 M^{16}-1310 M^{14}+1756 M^{12}-1173 M^{10}+495 M^8-138 M^6+24 M^4-2 M^2\right)+L^5 \left(6 M^{78}-95 M^{76}+681 M^{74}-2827 M^{72}+7010 M^{70}-8750 M^{68}-2136 M^{66}+25412 M^{64}-33707 M^{62}+1147 M^{60}+44694 M^{58}-44935 M^{56}+1247 M^{54}+46787 M^{52}-65833 M^{50}+8425 M^{48}+87817 M^{46}-55661 M^{44}-65995 M^{42}+76311 M^{40}+39480 M^{38}-67726 M^{36}-18837 M^{34}+45523 M^{32}+7124 M^{30}-26595 M^{28}+2815 M^{26}+9771 M^{24}-3493 M^{22}-3039 M^{20}+4590 M^{18}-3963 M^{16}+2655 M^{14}-1311 M^{12}+453 M^{10}-105 M^8+15 M^6-M^4\right)+L^6 \left(M^{92}-22 M^{90}+224 M^{88}-1360 M^{86}+5346 M^{84}-13728 M^{82}+20749 M^{80}-7276 M^{78}-39312 M^{76}+77507 M^{74}-30408 M^{72}-78565 M^{70}+98974 M^{68}+8962 M^{66}-48526 M^{64}-16337 M^{62}-79821 M^{60}+224647 M^{58}+96604 M^{56}-507126 M^{54}+53717 M^{52}+670012 M^{50}-249800 M^{48}-570513 M^{46}+344522 M^{44}+312040 M^{42}-281248 M^{40}-89003 M^{38}+147304 M^{36}-9149 M^{34}-39119 M^{32}+11036 M^{30}+4004 M^{28}-3304 M^{26}+5766 M^{24}-8962 M^{22}+7861 M^{20}-4455 M^{18}+1774 M^{16}-510 M^{14}+104 M^{12}-14 M^{10}+M^8\right)+L^7 \left(-M^{104}+22 M^{102}-230 M^{100}+1503 M^{98}-6606 M^{96}+19456 M^{94}-35882 M^{92}+30844 M^{90}+23813 M^{88}-102353 M^{86}+116665 M^{84}-10425 M^{82}-176881 M^{80}+270827 M^{78}+43024 M^{76}-507712 M^{74}+84459 M^{72}+747150 M^{70}+90045 M^{68}-1244281 M^{66}-415081 M^{64}+1917504 M^{62}+493637 M^{60}-2317650 M^{58}-124862 M^{56}+2070026 M^{54}-328118 M^{52}-1324449 M^{50}+488332 M^{48}+595068 M^{46}-354752 M^{44}-183968 M^{42}+164894 M^{40}+48668 M^{38}-70071 M^{36}-2998 M^{34}+20842 M^{32}+4246 M^{30}-20253 M^{28}+17660 M^{26}-9227 M^{24}+3345 M^{22}-865 M^{20}+156 M^{18}-18 M^{16}+M^{14}\right)+L^8 \left(-5 M^{114}+99 M^{112}-884 M^{110}+4789 M^{108}-17548 M^{106}+43941 M^{104}-66946 M^{102}+28332 M^{100}+102344 M^{98}-183293 M^{96}+42404 M^{94}+89975 M^{92}-4263 M^{90}+290527 M^{88}-651530 M^{86}-636579 M^{84}+1800972 M^{82}+785696 M^{80}-2707573 M^{78}-1140510 M^{76}+3053175 M^{74}+1901897 M^{72}-3217647 M^{70}-2564280 M^{68}+3569487 M^{66}+2307805 M^{64}-3699302 M^{62}-1193939 M^{60}+3131714 M^{58}+70013 M^{56}-2007692 M^{54}+471247 M^{52}+934486 M^{50}-482134 M^{48}-277936 M^{46}+293967 M^{44}-2195 M^{42}-100303 M^{40}+34708 M^{38}+30854 M^{36}-42132 M^{34}+25877 M^{32}-10255 M^{30}+2780 M^{28}-507 M^{26}+57 M^{24}-3 M^{22}\right)+L^9 \left(-10 M^{124}+199 M^{122}-1752 M^{120}+9085 M^{118}-30958 M^{116}+71216 M^{114}-99576 M^{112}+27273 M^{110}+196616 M^{108}-322229 M^{106}-57083 M^{104}+486973 M^{102}+58318 M^{100}-464348 M^{98}-919397 M^{96}+811484 M^{94}+2754979 M^{92}-2103045 M^{90}-4463331 M^{88}+3769439 M^{86}+5101851 M^{84}-4639354 M^{82}-5008564 M^{80}+4447380 M^{78}+5038413 M^{76}-4253627 M^{74}-5007994 M^{72}+4478493 M^{70}+4064747 M^{68}-4460477 M^{66}-2160028 M^{64}+3583698 M^{62}+356856 M^{60}-2114065 M^{58}+525906 M^{56}+793015 M^{54}-544627 M^{52}-75911 M^{50}+233365 M^{48}-80776 M^{46}-51780 M^{44}+74943 M^{42}-45230 M^{40}+17117 M^{38}-4301 M^{36}+702 M^{34}-68 M^{32}+3 M^{30}\right)+L^{10} \left(-10 M^{134}+211 M^{132}-1981 M^{130}+10865 M^{128}-38280 M^{126}+88538 M^{124}-123259 M^{122}+39547 M^{120}+236006 M^{118}-453963 M^{116}-848 M^{114}+929318 M^{112}-525127 M^{110}-1290384 M^{108}+767165 M^{106}+2013722 M^{104}-402710 M^{102}-4002650 M^{100}+383056 M^{98}+7001984 M^{96}-1730631 M^{94}-9382710 M^{92}+3834032 M^{90}+9962966 M^{88}-4847902 M^{86}-9389611 M^{84}+4160012 M^{82}+8406005 M^{80}-3150804 M^{78}-7006167 M^{76}+2953148 M^{74}+4838864 M^{72}-3002744 M^{70}-2293009 M^{68}+2433956 M^{66}+359376 M^{64}-1298199 M^{62}+390110 M^{60}+339320 M^{58}-313878 M^{56}+42141 M^{54}+100470 M^{52}-97451 M^{50}+49314 M^{48}-15959 M^{46}+3371 M^{44}-446 M^{42}+33 M^{40}-M^{38}\right)+L^{11} \left(-5 M^{144}+120 M^{142}-1286 M^{140}+8009 M^{138}-31676 M^{136}+81308 M^{134}-127451 M^{132}+72585 M^{130}+177542 M^{128}-465677 M^{126}+193382 M^{124}+905220 M^{122}-1267466 M^{120}-880714 M^{118}+2734848 M^{116}+326282 M^{114}-4086558 M^{112}-25672 M^{110}+5745606 M^{108}+447039 M^{106}-8521369 M^{104}-889702 M^{102}+11883497 M^{100}+453026 M^{98}-13495368 M^{96}+453026 M^{94}+11883497 M^{92}-889702 M^{90}-8521369 M^{88}+447039 M^{86}+5745606 M^{84}-25672 M^{82}-4086558 M^{80}+326282 M^{78}+2734848 M^{76}-880714 M^{74}-1267466 M^{72}+905220 M^{70}+193382 M^{68}-465677 M^{66}+177542 M^{64}+72585 M^{62}-127451 M^{60}+81308 M^{58}-31676 M^{56}+8009 M^{54}-1286 M^{52}+120 M^{50}-5 M^{48}\right)+L^{12} \left(-M^{154}+33 M^{152}-446 M^{150}+3371 M^{148}-15959 M^{146}+49314 M^{144}-97451 M^{142}+100470 M^{140}+42141 M^{138}-313878 M^{136}+339320 M^{134}+390110 M^{132}-1298199 M^{130}+359376 M^{128}+2433956 M^{126}-2293009 M^{124}-3002744 M^{122}+4838864 M^{120}+2953148 M^{118}-7006167 M^{116}-3150804 M^{114}+8406005 M^{112}+4160012 M^{110}-9389611 M^{108}-4847902 M^{106}+9962966 M^{104}+3834032 M^{102}-9382710 M^{100}-1730631 M^{98}+7001984 M^{96}+383056 M^{94}-4002650 M^{92}-402710 M^{90}+2013722 M^{88}+767165 M^{86}-1290384 M^{84}-525127 M^{82}+929318 M^{80}-848 M^{78}-453963 M^{76}+236006 M^{74}+39547 M^{72}-123259 M^{70}+88538 M^{68}-38280 M^{66}+10865 M^{64}-1981 M^{62}+211 M^{60}-10 M^{58}\right)+L^{13} \left(3 M^{162}-68 M^{160}+702 M^{158}-4301 M^{156}+17117 M^{154}-45230 M^{152}+74943 M^{150}-51780 M^{148}-80776 M^{146}+233365 M^{144}-75911 M^{142}-544627 M^{140}+793015 M^{138}+525906 M^{136}-2114065 M^{134}+356856 M^{132}+3583698 M^{130}-2160028 M^{128}-4460477 M^{126}+4064747 M^{124}+4478493 M^{122}-5007994 M^{120}-4253627 M^{118}+5038413 M^{116}+4447380 M^{114}-5008564 M^{112}-4639354 M^{110}+5101851 M^{108}+3769439 M^{106}-4463331 M^{104}-2103045 M^{102}+2754979 M^{100}+811484 M^{98}-919397 M^{96}-464348 M^{94}+58318 M^{92}+486973 M^{90}-57083 M^{88}-322229 M^{86}+196616 M^{84}+27273 M^{82}-99576 M^{80}+71216 M^{78}-30958 M^{76}+9085 M^{74}-1752 M^{72}+199 M^{70}-10 M^{68}\right)+L^{14} \left(-3 M^{170}+57 M^{168}-507 M^{166}+2780 M^{164}-10255 M^{162}+25877 M^{160}-42132 M^{158}+30854 M^{156}+34708 M^{154}-100303 M^{152}-2195 M^{150}+293967 M^{148}-277936 M^{146}-482134 M^{144}+934486 M^{142}+471247 M^{140}-2007692 M^{138}+70013 M^{136}+3131714 M^{134}-1193939 M^{132}-3699302 M^{130}+2307805 M^{128}+3569487 M^{126}-2564280 M^{124}-3217647 M^{122}+1901897 M^{120}+3053175 M^{118}-1140510 M^{116}-2707573 M^{114}+785696 M^{112}+1800972 M^{110}-636579 M^{108}-651530 M^{106}+290527 M^{104}-4263 M^{102}+89975 M^{100}+42404 M^{98}-183293 M^{96}+102344 M^{94}+28332 M^{92}-66946 M^{90}+43941 M^{88}-17548 M^{86}+4789 M^{84}-884 M^{82}+99 M^{80}-5 M^{78}\right)+L^{15} \left(M^{178}-18 M^{176}+156 M^{174}-865 M^{172}+3345 M^{170}-9227 M^{168}+17660 M^{166}-20253 M^{164}+4246 M^{162}+20842 M^{160}-2998 M^{158}-70071 M^{156}+48668 M^{154}+164894 M^{152}-183968 M^{150}-354752 M^{148}+595068 M^{146}+488332 M^{144}-1324449 M^{142}-328118 M^{140}+2070026 M^{138}-124862 M^{136}-2317650 M^{134}+493637 M^{132}+1917504 M^{130}-415081 M^{128}-1244281 M^{126}+90045 M^{124}+747150 M^{122}+84459 M^{120}-507712 M^{118}+43024 M^{116}+270827 M^{114}-176881 M^{112}-10425 M^{110}+116665 M^{108}-102353 M^{106}+23813 M^{104}+30844 M^{102}-35882 M^{100}+19456 M^{98}-6606 M^{96}+1503 M^{94}-230 M^{92}+22 M^{90}-M^{88}\right)+L^{16} \left(M^{184}-14 M^{182}+104 M^{180}-510 M^{178}+1774 M^{176}-4455 M^{174}+7861 M^{172}-8962 M^{170}+5766 M^{168}-3304 M^{166}+4004 M^{164}+11036 M^{162}-39119 M^{160}-9149 M^{158}+147304 M^{156}-89003 M^{154}-281248 M^{152}+312040 M^{150}+344522 M^{148}-570513 M^{146}-249800 M^{144}+670012 M^{142}+53717 M^{140}-507126 M^{138}+96604 M^{136}+224647 M^{134}-79821 M^{132}-16337 M^{130}-48526 M^{128}+8962 M^{126}+98974 M^{124}-78565 M^{122}-30408 M^{120}+77507 M^{118}-39312 M^{116}-7276 M^{114}+20749 M^{112}-13728 M^{110}+5346 M^{108}-1360 M^{106}+224 M^{104}-22 M^{102}+M^{100}\right)+L^{21} \left(-2 M^{188}+8 M^{186}-19 M^{184}+29 M^{182}-9 M^{180}-30 M^{178}+47 M^{176}+5 M^{174}-17 M^{172}+6 M^{170}\right)+L^{17} \left(-M^{188}+15 M^{186}-105 M^{184}+453 M^{182}-1311 M^{180}+2655 M^{178}-3963 M^{176}+4590 M^{174}-3039 M^{172}-3493 M^{170}+9771 M^{168}+2815 M^{166}-26595 M^{164}+7124 M^{162}+45523 M^{160}-18837 M^{158}-67726 M^{156}+39480 M^{154}+76311 M^{152}-65995 M^{150}-55661 M^{148}+87817 M^{146}+8425 M^{144}-65833 M^{142}+46787 M^{140}+1247 M^{138}-44935 M^{136}+44694 M^{134}+1147 M^{132}-33707 M^{130}+25412 M^{128}-2136 M^{126}-8750 M^{124}+7010 M^{122}-2827 M^{120}+681 M^{118}-95 M^{116}+6 M^{114}\right)+L^{18} \left(-2 M^{190}+24 M^{188}-138 M^{186}+495 M^{184}-1173 M^{182}+1756 M^{180}-1310 M^{178}-184 M^{176}+907 M^{174}-159 M^{172}-188 M^{170}+890 M^{168}-3122 M^{166}+921 M^{164}+7049 M^{162}-4649 M^{160}-11708 M^{158}+14321 M^{156}+8090 M^{154}-19713 M^{152}+10192 M^{150}+11512 M^{148}-19820 M^{146}+4908 M^{144}+11859 M^{142}-11038 M^{140}+1737 M^{138}+3038 M^{136}-2499 M^{134}+924 M^{132}-180 M^{130}+15 M^{128}\right)+L^{19} \left(-M^{192}+11 M^{190}-59 M^{188}+200 M^{186}-458 M^{184}+672 M^{182}-459 M^{180}-316 M^{178}+1109 M^{176}-1050 M^{174}-427 M^{172}+2719 M^{170}-2800 M^{168}-1264 M^{166}+4970 M^{164}-2421 M^{162}-2408 M^{160}+4912 M^{158}-1511 M^{156}-2742 M^{154}+2973 M^{152}-521 M^{150}-790 M^{148}+596 M^{146}-175 M^{144}+20 M^{142}\right)+L^{20} \left(M^{192}-8 M^{190}+32 M^{188}-80 M^{186}+125 M^{184}-110 M^{182}+31 M^{180}+88 M^{178}-261 M^{176}+283 M^{174}+192 M^{172}-626 M^{170}+383 M^{168}+473 M^{166}-521 M^{164}+64 M^{162}+156 M^{160}-86 M^{158}+15 M^{156}\right)$

Retrieved from "http://katlas.math.toronto.edu/wiki/Data:9_36/A-polynomial"

Data:9 36/A-polynomial

From Knot Atlas

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