Data:9 21/A-polynomial

From Knot Atlas

$L^{21} M^{110}+M^{24}+L \left(3 M^{38}-12 M^{36}+22 M^{34}-15 M^{32}-20 M^{30}+60 M^{28}-6 M^{26}-27 M^{24}+22 M^{22}-6 M^{20}\right)+L^2 \left(3 M^{52}-22 M^{50}+68 M^{48}-109 M^{46}+75 M^{44}-7 M^{42}+27 M^{40}+198 M^{38}-752 M^{36}+367 M^{34}+1203 M^{32}-1099 M^{30}-307 M^{28}+1042 M^{26}-417 M^{24}-264 M^{22}+295 M^{20}-106 M^{18}+15 M^{16}\right)+L^3 \left(M^{66}-10 M^{64}+45 M^{62}-128 M^{60}+287 M^{58}-587 M^{56}+852 M^{54}-13 M^{52}-2517 M^{50}+3020 M^{48}+2203 M^{46}-5381 M^{44}-1168 M^{42}+4944 M^{40}+3529 M^{38}-5674 M^{36}-4892 M^{34}+10721 M^{32}+2146 M^{30}-11288 M^{28}+3393 M^{26}+5415 M^{24}-4339 M^{22}-142 M^{20}+1586 M^{18}-857 M^{16}+204 M^{14}-20 M^{12}\right)+L^4 \left(2 M^{76}-26 M^{74}+156 M^{72}-555 M^{70}+1207 M^{68}-1448 M^{66}+642 M^{64}+34 M^{62}-595 M^{60}+7121 M^{58}-15438 M^{56}-5399 M^{54}+52124 M^{52}-33013 M^{50}-77048 M^{48}+100958 M^{46}+55830 M^{44}-147931 M^{42}+2220 M^{40}+140177 M^{38}-40037 M^{36}-87577 M^{34}+47070 M^{32}+41901 M^{30}-36771 M^{28}-17248 M^{26}+25635 M^{24}+1846 M^{22}-13012 M^{20}+4280 M^{18}+2909 M^{16}-2924 M^{14}+1076 M^{12}-196 M^{10}+15 M^8\right)+L^5 \left(M^{86}-18 M^{84}+160 M^{82}-857 M^{80}+2874 M^{78}-5565 M^{76}+3356 M^{74}+10033 M^{72}-20555 M^{70}-6861 M^{68}+53188 M^{66}-9593 M^{64}-112477 M^{62}+43891 M^{60}+236531 M^{58}-157337 M^{56}-395995 M^{54}+404205 M^{52}+453103 M^{50}-712694 M^{48}-261094 M^{46}+875298 M^{44}-104624 M^{42}-716637 M^{40}+423934 M^{38}+369208 M^{36}-463690 M^{34}-66150 M^{32}+287858 M^{30}-58020 M^{28}-105331 M^{26}+47248 M^{24}+25673 M^{22}-18764 M^{20}-6205 M^{18}+7214 M^{16}+1332 M^{14}-3968 M^{12}+2216 M^{10}-627 M^8+94 M^6-6 M^4\right)+L^6 \left(-3 M^{94}+53 M^{92}-448 M^{90}+2291 M^{88}-7379 M^{86}+13560 M^{84}-5652 M^{82}-34159 M^{80}+68982 M^{78}+13929 M^{76}-209539 M^{74}+171587 M^{72}+342234 M^{70}-611227 M^{68}-292659 M^{66}+1273749 M^{64}-175904 M^{62}-1826066 M^{60}+1078193 M^{58}+1771817 M^{56}-2042808 M^{54}-864056 M^{52}+2506444 M^{50}-470483 M^{48}-2174474 M^{46}+1537611 M^{44}+1390712 M^{42}-1771642 M^{40}-538861 M^{38}+1368935 M^{36}-54006 M^{34}-770286 M^{32}+266072 M^{30}+293546 M^{28}-215836 M^{26}-39770 M^{24}+82702 M^{22}-16673 M^{20}-11549 M^{18}+6566 M^{16}-2565 M^{14}+3103 M^{12}-3010 M^{10}+1737 M^8-628 M^6+141 M^4-18 M^2+1\right)+L^7 \left(3 M^{102}-60 M^{100}+548 M^{98}-2950 M^{96}+10011 M^{94}-20455 M^{92}+16589 M^{90}+31316 M^{88}-104259 M^{86}+68759 M^{84}+193767 M^{82}-432645 M^{80}+46177 M^{78}+910935 M^{76}-934510 M^{74}-1013955 M^{72}+2475496 M^{70}+50618 M^{68}-3987872 M^{66}+2235189 M^{64}+4384949 M^{62}-5305179 M^{60}-2832418 M^{58}+7824238 M^{56}-309074 M^{54}-8361157 M^{52}+3593438 M^{50}+6668400 M^{48}-5157232 M^{46}-3610723 M^{44}+4759530 M^{42}+987965 M^{40}-3256298 M^{38}+230945 M^{36}+1752997 M^{34}-422973 M^{32}-772538 M^{30}+279413 M^{28}+290364 M^{26}-160059 M^{24}-63931 M^{22}+63377 M^{20}-2426 M^{18}-13224 M^{16}+8005 M^{14}-5303 M^{12}+4141 M^{10}-2301 M^8+803 M^6-170 M^4+20 M^2-1\right)+L^8 \left(-M^{110}+23 M^{108}-241 M^{106}+1522 M^{104}-6427 M^{102}+18664 M^{100}-34852 M^{98}+25008 M^{96}+68877 M^{94}-230238 M^{92}+172343 M^{90}+490810 M^{88}-1223554 M^{86}+139203 M^{84}+2956746 M^{82}-3050828 M^{80}-3876103 M^{78}+8846522 M^{76}+1291426 M^{74}-15578776 M^{72}+6444837 M^{70}+19068047 M^{68}-17825847 M^{66}-15456503 M^{64}+27955543 M^{62}+4677775 M^{60}-31465075 M^{58}+8978841 M^{56}+26549755 M^{54}-19192852 M^{52}-15783207 M^{50}+22643005 M^{48}+4968617 M^{46}-19457097 M^{44}+1789006 M^{42}+12799911 M^{40}-3963718 M^{38}-6374551 M^{36}+3256928 M^{34}+2299884 M^{32}-1778363 M^{30}-519433 M^{28}+680769 M^{26}+54076 M^{24}-210554 M^{22}+19775 M^{20}+53844 M^{18}-13974 M^{16}-15514 M^{14}+13596 M^{12}-5112 M^{10}+1074 M^8-123 M^6+6 M^4\right)+L^{20} \left(-6 M^{114}+22 M^{112}-27 M^{110}-6 M^{108}+60 M^{106}-20 M^{104}-15 M^{102}+22 M^{100}-12 M^{98}+3 M^{96}\right)+L^9 \left(6 M^{114}-135 M^{112}+1338 M^{110}-7587 M^{108}+26296 M^{106}-52051 M^{104}+29070 M^{102}+126553 M^{100}-320973 M^{98}+111427 M^{96}+764186 M^{94}-1328364 M^{92}-163586 M^{90}+3166089 M^{88}-3182771 M^{86}-3135144 M^{84}+9529776 M^{82}-2956030 M^{80}-15057175 M^{78}+17118122 M^{76}+12785887 M^{74}-35479509 M^{72}+2820538 M^{70}+48212313 M^{68}-30103330 M^{66}-45495587 M^{64}+59280500 M^{62}+25317629 M^{60}-77235077 M^{58}+4146514 M^{56}+76814845 M^{54}-28435752 M^{52}-59626121 M^{50}+38232951 M^{48}+35433535 M^{46}-33997257 M^{44}-14821056 M^{42}+22713136 M^{40}+2928793 M^{38}-11730899 M^{36}+1376783 M^{34}+4553857 M^{32}-1667975 M^{30}-1200662 M^{28}+907653 M^{26}+85566 M^{24}-282857 M^{22}+76353 M^{20}+41251 M^{18}-38673 M^{16}+14079 M^{14}-2845 M^{12}+315 M^{10}-15 M^8\right)+L^{10} \left(-15 M^{118}+330 M^{116}-3168 M^{114}+17040 M^{112}-53308 M^{110}+79791 M^{108}+47942 M^{106}-420529 M^{104}+501221 M^{102}+760618 M^{100}-2528477 M^{98}+574052 M^{96}+5963460 M^{94}-6204586 M^{92}-8404096 M^{90}+17513715 M^{88}+5353914 M^{86}-31020879 M^{84}+5231249 M^{82}+38524291 M^{80}-18194228 M^{78}-32193780 M^{76}+21241953 M^{74}+12116759 M^{72}-3526054 M^{70}+11771608 M^{68}-33953695 M^{66}-25594626 M^{64}+76038880 M^{62}+22266778 M^{60}-101499887 M^{58}-4555330 M^{56}+99599561 M^{54}-15731535 M^{52}-75291675 M^{50}+27236993 M^{48}+43327853 M^{46}-26441952 M^{44}-17501368 M^{42}+17977948 M^{40}+3312858 M^{38}-8704061 M^{36}+1300351 M^{34}+2779538 M^{32}-1380503 M^{30}-353095 M^{28}+511086 M^{26}-110531 M^{24}-72757 M^{22}+60131 M^{20}-20667 M^{18}+4008 M^{16}-430 M^{14}+20 M^{12}\right)+L^{19} \left(15 M^{118}-106 M^{116}+295 M^{114}-264 M^{112}-417 M^{110}+1042 M^{108}-307 M^{106}-1099 M^{104}+1203 M^{102}+367 M^{100}-752 M^{98}+198 M^{96}+27 M^{94}-7 M^{92}+75 M^{90}-109 M^{88}+68 M^{86}-22 M^{84}+3 M^{82}\right)+L^{18} \left(-20 M^{122}+204 M^{120}-857 M^{118}+1586 M^{116}-142 M^{114}-4339 M^{112}+5415 M^{110}+3393 M^{108}-11288 M^{106}+2146 M^{104}+10721 M^{102}-4892 M^{100}-5674 M^{98}+3529 M^{96}+4944 M^{94}-1168 M^{92}-5381 M^{90}+2203 M^{88}+3020 M^{86}-2517 M^{84}-13 M^{82}+852 M^{80}-587 M^{78}+287 M^{76}-128 M^{74}+45 M^{72}-10 M^{70}+M^{68}\right)+L^{11} \left(20 M^{122}-430 M^{120}+4008 M^{118}-20667 M^{116}+60131 M^{114}-72757 M^{112}-110531 M^{110}+511086 M^{108}-353095 M^{106}-1380503 M^{104}+2779538 M^{102}+1300351 M^{100}-8704061 M^{98}+3312858 M^{96}+17977948 M^{94}-17501368 M^{92}-26441952 M^{90}+43327853 M^{88}+27236993 M^{86}-75291675 M^{84}-15731535 M^{82}+99599561 M^{80}-4555330 M^{78}-101499887 M^{76}+22266778 M^{74}+76038880 M^{72}-25594626 M^{70}-33953695 M^{68}+11771608 M^{66}-3526054 M^{64}+12116759 M^{62}+21241953 M^{60}-32193780 M^{58}-18194228 M^{56}+38524291 M^{54}+5231249 M^{52}-31020879 M^{50}+5353914 M^{48}+17513715 M^{46}-8404096 M^{44}-6204586 M^{42}+5963460 M^{40}+574052 M^{38}-2528477 M^{36}+760618 M^{34}+501221 M^{32}-420529 M^{30}+47942 M^{28}+79791 M^{26}-53308 M^{24}+17040 M^{22}-3168 M^{20}+330 M^{18}-15 M^{16}\right)+L^{12} \left(-15 M^{126}+315 M^{124}-2845 M^{122}+14079 M^{120}-38673 M^{118}+41251 M^{116}+76353 M^{114}-282857 M^{112}+85566 M^{110}+907653 M^{108}-1200662 M^{106}-1667975 M^{104}+4553857 M^{102}+1376783 M^{100}-11730899 M^{98}+2928793 M^{96}+22713136 M^{94}-14821056 M^{92}-33997257 M^{90}+35433535 M^{88}+38232951 M^{86}-59626121 M^{84}-28435752 M^{82}+76814845 M^{80}+4146514 M^{78}-77235077 M^{76}+25317629 M^{74}+59280500 M^{72}-45495587 M^{70}-30103330 M^{68}+48212313 M^{66}+2820538 M^{64}-35479509 M^{62}+12785887 M^{60}+17118122 M^{58}-15057175 M^{56}-2956030 M^{54}+9529776 M^{52}-3135144 M^{50}-3182771 M^{48}+3166089 M^{46}-163586 M^{44}-1328364 M^{42}+764186 M^{40}+111427 M^{38}-320973 M^{36}+126553 M^{34}+29070 M^{32}-52051 M^{30}+26296 M^{28}-7587 M^{26}+1338 M^{24}-135 M^{22}+6 M^{20}\right)+L^{17} \left(15 M^{126}-196 M^{124}+1076 M^{122}-2924 M^{120}+2909 M^{118}+4280 M^{116}-13012 M^{114}+1846 M^{112}+25635 M^{110}-17248 M^{108}-36771 M^{106}+41901 M^{104}+47070 M^{102}-87577 M^{100}-40037 M^{98}+140177 M^{96}+2220 M^{94}-147931 M^{92}+55830 M^{90}+100958 M^{88}-77048 M^{86}-33013 M^{84}+52124 M^{82}-5399 M^{80}-15438 M^{78}+7121 M^{76}-595 M^{74}+34 M^{72}+642 M^{70}-1448 M^{68}+1207 M^{66}-555 M^{64}+156 M^{62}-26 M^{60}+2 M^{58}\right)+L^{16} \left(-6 M^{130}+94 M^{128}-627 M^{126}+2216 M^{124}-3968 M^{122}+1332 M^{120}+7214 M^{118}-6205 M^{116}-18764 M^{114}+25673 M^{112}+47248 M^{110}-105331 M^{108}-58020 M^{106}+287858 M^{104}-66150 M^{102}-463690 M^{100}+369208 M^{98}+423934 M^{96}-716637 M^{94}-104624 M^{92}+875298 M^{90}-261094 M^{88}-712694 M^{86}+453103 M^{84}+404205 M^{82}-395995 M^{80}-157337 M^{78}+236531 M^{76}+43891 M^{74}-112477 M^{72}-9593 M^{70}+53188 M^{68}-6861 M^{66}-20555 M^{64}+10033 M^{62}+3356 M^{60}-5565 M^{58}+2874 M^{56}-857 M^{54}+160 M^{52}-18 M^{50}+M^{48}\right)+L^{13} \left(6 M^{130}-123 M^{128}+1074 M^{126}-5112 M^{124}+13596 M^{122}-15514 M^{120}-13974 M^{118}+53844 M^{116}+19775 M^{114}-210554 M^{112}+54076 M^{110}+680769 M^{108}-519433 M^{106}-1778363 M^{104}+2299884 M^{102}+3256928 M^{100}-6374551 M^{98}-3963718 M^{96}+12799911 M^{94}+1789006 M^{92}-19457097 M^{90}+4968617 M^{88}+22643005 M^{86}-15783207 M^{84}-19192852 M^{82}+26549755 M^{80}+8978841 M^{78}-31465075 M^{76}+4677775 M^{74}+27955543 M^{72}-15456503 M^{70}-17825847 M^{68}+19068047 M^{66}+6444837 M^{64}-15578776 M^{62}+1291426 M^{60}+8846522 M^{58}-3876103 M^{56}-3050828 M^{54}+2956746 M^{52}+139203 M^{50}-1223554 M^{48}+490810 M^{46}+172343 M^{44}-230238 M^{42}+68877 M^{40}+25008 M^{38}-34852 M^{36}+18664 M^{34}-6427 M^{32}+1522 M^{30}-241 M^{28}+23 M^{26}-M^{24}\right)+L^{14} \left(-M^{134}+20 M^{132}-170 M^{130}+803 M^{128}-2301 M^{126}+4141 M^{124}-5303 M^{122}+8005 M^{120}-13224 M^{118}-2426 M^{116}+63377 M^{114}-63931 M^{112}-160059 M^{110}+290364 M^{108}+279413 M^{106}-772538 M^{104}-422973 M^{102}+1752997 M^{100}+230945 M^{98}-3256298 M^{96}+987965 M^{94}+4759530 M^{92}-3610723 M^{90}-5157232 M^{88}+6668400 M^{86}+3593438 M^{84}-8361157 M^{82}-309074 M^{80}+7824238 M^{78}-2832418 M^{76}-5305179 M^{74}+4384949 M^{72}+2235189 M^{70}-3987872 M^{68}+50618 M^{66}+2475496 M^{64}-1013955 M^{62}-934510 M^{60}+910935 M^{58}+46177 M^{56}-432645 M^{54}+193767 M^{52}+68759 M^{50}-104259 M^{48}+31316 M^{46}+16589 M^{44}-20455 M^{42}+10011 M^{40}-2950 M^{38}+548 M^{36}-60 M^{34}+3 M^{32}\right)+L^{15} \left(M^{134}-18 M^{132}+141 M^{130}-628 M^{128}+1737 M^{126}-3010 M^{124}+3103 M^{122}-2565 M^{120}+6566 M^{118}-11549 M^{116}-16673 M^{114}+82702 M^{112}-39770 M^{110}-215836 M^{108}+293546 M^{106}+266072 M^{104}-770286 M^{102}-54006 M^{100}+1368935 M^{98}-538861 M^{96}-1771642 M^{94}+1390712 M^{92}+1537611 M^{90}-2174474 M^{88}-470483 M^{86}+2506444 M^{84}-864056 M^{82}-2042808 M^{80}+1771817 M^{78}+1078193 M^{76}-1826066 M^{74}-175904 M^{72}+1273749 M^{70}-292659 M^{68}-611227 M^{66}+342234 M^{64}+171587 M^{62}-209539 M^{60}+13929 M^{58}+68982 M^{56}-34159 M^{54}-5652 M^{52}+13560 M^{50}-7379 M^{48}+2291 M^{46}-448 M^{44}+53 M^{42}-3 M^{40}\right)$

Retrieved from "http://katlas.math.toronto.edu/wiki/Data:9_21/A-polynomial"

Data:9 21/A-polynomial

From Knot Atlas

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