Data:9 12/A-polynomial

From Knot Atlas

$L^{17} M^{86}+M^{16}+L \left(3 M^{30}-9 M^{28}+11 M^{26}-7 M^{24}-8 M^{22}+37 M^{20}-3 M^{18}-17 M^{16}+14 M^{14}-4 M^{12}\right)+L^2 \left(3 M^{44}-16 M^{42}+33 M^{40}-36 M^{38}+14 M^{36}+18 M^{34}+31 M^{32}-31 M^{30}-251 M^{28}+243 M^{26}+428 M^{24}-375 M^{22}-111 M^{20}+341 M^{18}-130 M^{16}-102 M^{14}+113 M^{12}-42 M^{10}+6 M^8\right)+L^3 \left(M^{58}-7 M^{56}+21 M^{54}-35 M^{52}+40 M^{50}-91 M^{48}+277 M^{46}-348 M^{44}-292 M^{42}+1105 M^{40}-409 M^{38}-1021 M^{36}+1102 M^{34}-529 M^{32}-376 M^{30}+1746 M^{28}-290 M^{26}-277 M^{24}+655 M^{22}-1065 M^{20}+125 M^{18}+857 M^{16}-562 M^{14}-153 M^{12}+346 M^{10}-178 M^8+42 M^6-4 M^4\right)+L^4 \left(-M^{66}+13 M^{64}-78 M^{62}+256 M^{60}-420 M^{58}+104 M^{56}+626 M^{54}-180 M^{52}-1936 M^{50}+1483 M^{48}+4055 M^{46}-6194 M^{44}-3230 M^{42}+13832 M^{40}-6057 M^{38}-15451 M^{36}+17956 M^{34}+6554 M^{32}-18740 M^{30}+9035 M^{28}+11364 M^{26}-14107 M^{24}-2058 M^{22}+9079 M^{20}-2672 M^{18}-2344 M^{16}+2000 M^{14}-334 M^{12}-511 M^{10}+548 M^8-284 M^6+85 M^4-14 M^2+1\right)+L^5 \left(-6 M^{72}+72 M^{70}-394 M^{68}+1201 M^{66}-1773 M^{64}-461 M^{62}+5862 M^{60}-5143 M^{58}-10496 M^{56}+20568 M^{54}+7395 M^{52}-43022 M^{50}+10146 M^{48}+64802 M^{46}-46567 M^{44}-66320 M^{42}+87004 M^{40}+35575 M^{38}-104314 M^{36}+19221 M^{34}+92704 M^{32}-50264 M^{30}-50830 M^{28}+49576 M^{26}+9350 M^{24}-29920 M^{22}+8516 M^{20}+11444 M^{18}-8977 M^{16}-1314 M^{14}+3704 M^{12}-672 M^{10}-1061 M^8+802 M^6-260 M^4+43 M^2-3\right)+L^6 \left(-15 M^{78}+193 M^{76}-1058 M^{74}+3034 M^{72}-3833 M^{70}-3044 M^{68}+17592 M^{66}-14145 M^{64}-33871 M^{62}+68390 M^{60}+20249 M^{58}-147639 M^{56}+45335 M^{54}+216275 M^{52}-158193 M^{50}-229136 M^{48}+275906 M^{46}+173862 M^{44}-354214 M^{42}-73306 M^{40}+371998 M^{38}-3977 M^{36}-299776 M^{34}+56842 M^{32}+189143 M^{30}-73977 M^{28}-94703 M^{26}+60987 M^{24}+34438 M^{22}-34409 M^{20}-8202 M^{18}+15011 M^{16}-594 M^{14}-4109 M^{12}+733 M^{10}+1245 M^8-891 M^6+276 M^4-44 M^2+3\right)+L^7 \left(-20 M^{84}+277 M^{82}-1575 M^{80}+4484 M^{78}-5119 M^{76}-6191 M^{74}+26756 M^{72}-16267 M^{70}-58765 M^{68}+101631 M^{66}+52819 M^{64}-250776 M^{62}+35472 M^{60}+429427 M^{58}-216283 M^{56}-576197 M^{54}+433400 M^{52}+658997 M^{50}-616708 M^{48}-667025 M^{46}+711176 M^{44}+607781 M^{42}-660931 M^{40}-425434 M^{38}+529141 M^{36}+200745 M^{34}-360739 M^{32}-33672 M^{30}+193413 M^{28}-32552 M^{26}-75226 M^{24}+33586 M^{22}+15634 M^{20}-13372 M^{18}-533 M^{16}+2950 M^{14}-1179 M^{12}+706 M^{10}-635 M^8+335 M^6-97 M^4+15 M^2-1\right)+L^8 \left(-15 M^{90}+219 M^{88}-1301 M^{86}+3837 M^{84}-4494 M^{82}-5132 M^{80}+21305 M^{78}-8414 M^{76}-53476 M^{74}+70683 M^{72}+77083 M^{70}-205888 M^{68}-68986 M^{66}+442789 M^{64}-1811 M^{62}-771867 M^{60}+129400 M^{58}+1145076 M^{56}-280983 M^{54}-1448791 M^{52}+393558 M^{50}+1545319 M^{48}-410715 M^{46}-1303528 M^{44}+400126 M^{42}+871505 M^{40}-346568 M^{38}-449781 M^{36}+241841 M^{34}+173510 M^{32}-132158 M^{30}-45976 M^{28}+54596 M^{26}+9654 M^{24}-21100 M^{22}+294 M^{20}+6672 M^{18}-1043 M^{16}-2410 M^{14}+1754 M^{12}-558 M^{10}+90 M^8-6 M^6\right)+L^{16} \left(-4 M^{90}+14 M^{88}-17 M^{86}-3 M^{84}+37 M^{82}-8 M^{80}-7 M^{78}+11 M^{76}-9 M^{74}+3 M^{72}\right)+L^{15} \left(6 M^{94}-42 M^{92}+113 M^{90}-102 M^{88}-130 M^{86}+341 M^{84}-111 M^{82}-375 M^{80}+428 M^{78}+243 M^{76}-251 M^{74}-31 M^{72}+31 M^{70}+18 M^{68}+14 M^{66}-36 M^{64}+33 M^{62}-16 M^{60}+3 M^{58}\right)+L^9 \left(-6 M^{96}+90 M^{94}-558 M^{92}+1754 M^{90}-2410 M^{88}-1043 M^{86}+6672 M^{84}+294 M^{82}-21100 M^{80}+9654 M^{78}+54596 M^{76}-45976 M^{74}-132158 M^{72}+173510 M^{70}+241841 M^{68}-449781 M^{66}-346568 M^{64}+871505 M^{62}+400126 M^{60}-1303528 M^{58}-410715 M^{56}+1545319 M^{54}+393558 M^{52}-1448791 M^{50}-280983 M^{48}+1145076 M^{46}+129400 M^{44}-771867 M^{42}-1811 M^{40}+442789 M^{38}-68986 M^{36}-205888 M^{34}+77083 M^{32}+70683 M^{30}-53476 M^{28}-8414 M^{26}+21305 M^{24}-5132 M^{22}-4494 M^{20}+3837 M^{18}-1301 M^{16}+219 M^{14}-15 M^{12}\right)+L^{14} \left(-4 M^{98}+42 M^{96}-178 M^{94}+346 M^{92}-153 M^{90}-562 M^{88}+857 M^{86}+125 M^{84}-1065 M^{82}+655 M^{80}-277 M^{78}-290 M^{76}+1746 M^{74}-376 M^{72}-529 M^{70}+1102 M^{68}-1021 M^{66}-409 M^{64}+1105 M^{62}-292 M^{60}-348 M^{58}+277 M^{56}-91 M^{54}+40 M^{52}-35 M^{50}+21 M^{48}-7 M^{46}+M^{44}\right)+L^{12} \left(-3 M^{102}+43 M^{100}-260 M^{98}+802 M^{96}-1061 M^{94}-672 M^{92}+3704 M^{90}-1314 M^{88}-8977 M^{86}+11444 M^{84}+8516 M^{82}-29920 M^{80}+9350 M^{78}+49576 M^{76}-50830 M^{74}-50264 M^{72}+92704 M^{70}+19221 M^{68}-104314 M^{66}+35575 M^{64}+87004 M^{62}-66320 M^{60}-46567 M^{58}+64802 M^{56}+10146 M^{54}-43022 M^{52}+7395 M^{50}+20568 M^{48}-10496 M^{46}-5143 M^{44}+5862 M^{42}-461 M^{40}-1773 M^{38}+1201 M^{36}-394 M^{34}+72 M^{32}-6 M^{30}\right)+L^{10} \left(-M^{102}+15 M^{100}-97 M^{98}+335 M^{96}-635 M^{94}+706 M^{92}-1179 M^{90}+2950 M^{88}-533 M^{86}-13372 M^{84}+15634 M^{82}+33586 M^{80}-75226 M^{78}-32552 M^{76}+193413 M^{74}-33672 M^{72}-360739 M^{70}+200745 M^{68}+529141 M^{66}-425434 M^{64}-660931 M^{62}+607781 M^{60}+711176 M^{58}-667025 M^{56}-616708 M^{54}+658997 M^{52}+433400 M^{50}-576197 M^{48}-216283 M^{46}+429427 M^{44}+35472 M^{42}-250776 M^{40}+52819 M^{38}+101631 M^{36}-58765 M^{34}-16267 M^{32}+26756 M^{30}-6191 M^{28}-5119 M^{26}+4484 M^{24}-1575 M^{22}+277 M^{20}-20 M^{18}\right)+L^{13} \left(M^{102}-14 M^{100}+85 M^{98}-284 M^{96}+548 M^{94}-511 M^{92}-334 M^{90}+2000 M^{88}-2344 M^{86}-2672 M^{84}+9079 M^{82}-2058 M^{80}-14107 M^{78}+11364 M^{76}+9035 M^{74}-18740 M^{72}+6554 M^{70}+17956 M^{68}-15451 M^{66}-6057 M^{64}+13832 M^{62}-3230 M^{60}-6194 M^{58}+4055 M^{56}+1483 M^{54}-1936 M^{52}-180 M^{50}+626 M^{48}+104 M^{46}-420 M^{44}+256 M^{42}-78 M^{40}+13 M^{38}-M^{36}\right)+L^{11} \left(3 M^{102}-44 M^{100}+276 M^{98}-891 M^{96}+1245 M^{94}+733 M^{92}-4109 M^{90}-594 M^{88}+15011 M^{86}-8202 M^{84}-34409 M^{82}+34438 M^{80}+60987 M^{78}-94703 M^{76}-73977 M^{74}+189143 M^{72}+56842 M^{70}-299776 M^{68}-3977 M^{66}+371998 M^{64}-73306 M^{62}-354214 M^{60}+173862 M^{58}+275906 M^{56}-229136 M^{54}-158193 M^{52}+216275 M^{50}+45335 M^{48}-147639 M^{46}+20249 M^{44}+68390 M^{42}-33871 M^{40}-14145 M^{38}+17592 M^{36}-3044 M^{34}-3833 M^{32}+3034 M^{30}-1058 M^{28}+193 M^{26}-15 M^{24}\right)$

Retrieved from "http://katlas.math.toronto.edu/wiki/Data:9_12/A-polynomial"

Data:9 12/A-polynomial

From Knot Atlas

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