Data:9 31/A-polynomial

From Knot Atlas

$M^{96}+L^{17} M^{22}+L^{16} \left(-6 M^{34}+29 M^{32}-46 M^{30}-3 M^{28}+93 M^{26}-51 M^{24}-24 M^{22}+39 M^{20}-17 M^{18}+3 M^{16}\right)+L^{15} \left(15 M^{46}-134 M^{44}+442 M^{42}-455 M^{40}-608 M^{38}+1641 M^{36}-527 M^{34}-1482 M^{32}+1471 M^{30}+262 M^{28}-592 M^{26}+150 M^{24}-277 M^{22}+275 M^{20}+86 M^{18}-227 M^{16}+123 M^{14}-30 M^{12}+3 M^{10}\right)+L^{14} \left(-20 M^{58}+246 M^{56}-1170 M^{54}+2354 M^{52}-216 M^{50}-6827 M^{48}+7703 M^{46}+7100 M^{44}-15624 M^{42}-4513 M^{40}+18742 M^{38}+4977 M^{36}-20344 M^{34}-3333 M^{32}+21323 M^{30}-3411 M^{28}-14545 M^{26}+8042 M^{24}+3730 M^{22}-5137 M^{20}+1490 M^{18}+579 M^{16}-813 M^{14}+528 M^{12}-243 M^{10}+74 M^8-13 M^6+M^4\right)+L^{13} \left(15 M^{70}-224 M^{68}+1337 M^{66}-3816 M^{64}+3773 M^{62}+6479 M^{60}-17919 M^{58}-1419 M^{56}+36447 M^{54}-1281 M^{52}-72788 M^{50}-573 M^{48}+150644 M^{46}-30651 M^{44}-241337 M^{42}+117992 M^{40}+266045 M^{38}-200565 M^{36}-188296 M^{34}+204880 M^{32}+78747 M^{30}-135264 M^{28}-14107 M^{26}+62013 M^{24}-2851 M^{22}-23494 M^{20}+4784 M^{18}+7855 M^{16}-4223 M^{14}-989 M^{12}+1872 M^{10}-910 M^8+235 M^6-33 M^4+2 M^2\right)+L^{12} \left(-6 M^{82}+101 M^{80}-702 M^{78}+2517 M^{76}-4375 M^{74}+972 M^{72}+7308 M^{70}-1190 M^{68}-16213 M^{66}-27829 M^{64}+104034 M^{62}+62202 M^{60}-387082 M^{58}+41781 M^{56}+865542 M^{54}-434800 M^{52}-1319379 M^{50}+1044108 M^{48}+1453259 M^{46}-1549609 M^{44}-1170811 M^{42}+1678528 M^{40}+665413 M^{38}-1400092 M^{36}-190318 M^{34}+908009 M^{32}-91020 M^{30}-431711 M^{28}+156406 M^{26}+119742 M^{24}-94824 M^{22}+4186 M^{20}+22376 M^{18}-14701 M^{16}+4377 M^{14}+1784 M^{12}-3237 M^{10}+2032 M^8-729 M^6+157 M^4-19 M^2+1\right)+L^{11} \left(M^{94}-18 M^{92}+139 M^{90}-591 M^{88}+1502 M^{86}-2601 M^{84}+4931 M^{82}-10809 M^{80}+5351 M^{78}+51823 M^{76}-112493 M^{74}-61692 M^{72}+438039 M^{70}-172367 M^{68}-1000897 M^{66}+930324 M^{64}+1590106 M^{62}-2294399 M^{60}-1815733 M^{58}+3907203 M^{56}+1395515 M^{54}-5074466 M^{52}-434493 M^{50}+5181375 M^{48}-572728 M^{46}-4109135 M^{44}+1128037 M^{42}+2428791 M^{40}-1024805 M^{38}-947348 M^{36}+507340 M^{34}+155903 M^{32}-21214 M^{30}+17364 M^{28}-167190 M^{26}+47970 M^{24}+117169 M^{22}-79127 M^{20}-22395 M^{18}+41474 M^{16}-11081 M^{14}-7067 M^{12}+6739 M^{10}-2546 M^8+533 M^6-61 M^4+3 M^2\right)+L^{10} \left(3 M^{100}-60 M^{98}+520 M^{96}-2474 M^{94}+6510 M^{92}-6645 M^{90}-10542 M^{88}+33208 M^{86}+5225 M^{84}-101922 M^{82}+27460 M^{80}+268894 M^{78}-111726 M^{76}-687634 M^{74}+361531 M^{72}+1540836 M^{70}-984119 M^{68}-2858216 M^{66}+2107878 M^{64}+4365132 M^{62}-3497351 M^{60}-5627332 M^{58}+4594209 M^{56}+6315526 M^{54}-4982161 M^{52}-6289343 M^{50}+4773927 M^{48}+5606078 M^{46}-4260933 M^{44}-4338818 M^{42}+3617217 M^{40}+2739931 M^{38}-2818360 M^{36}-1245229 M^{34}+1879060 M^{32}+245405 M^{30}-983256 M^{28}+160533 M^{26}+355009 M^{24}-176931 M^{22}-55866 M^{20}+74126 M^{18}-14756 M^{16}-11822 M^{14}+9355 M^{12}-3178 M^{10}+611 M^8-65 M^6+3 M^4\right)+L \left(3 M^{102}-17 M^{100}+39 M^{98}-24 M^{96}-51 M^{94}+93 M^{92}-3 M^{90}-46 M^{88}+29 M^{86}-6 M^{84}\right)+L^9 \left(3 M^{106}-65 M^{104}+615 M^{102}-3231 M^{100}+9585 M^{98}-11869 M^{96}-17202 M^{94}+78849 M^{92}-42318 M^{90}-235646 M^{88}+379718 M^{86}+366744 M^{84}-1285653 M^{82}-87086 M^{80}+2895477 M^{78}-1158767 M^{76}-4853408 M^{74}+3555326 M^{72}+6399693 M^{70}-6473484 M^{68}-6911720 M^{66}+8732600 M^{64}+6381043 M^{62}-9472248 M^{60}-5295544 M^{58}+8708059 M^{56}+4161233 M^{54}-7045607 M^{52}-3090501 M^{50}+5269686 M^{48}+2068033 M^{46}-3781847 M^{44}-1085658 M^{42}+2585912 M^{40}+260705 M^{38}-1566263 M^{36}+227157 M^{34}+737429 M^{32}-328225 M^{30}-212969 M^{28}+207104 M^{26}-2621 M^{24}-66314 M^{22}+28796 M^{20}+5209 M^{18}-10280 M^{16}+5041 M^{14}-1395 M^{12}+236 M^{10}-23 M^8+M^6\right)+L^2 \left(3 M^{108}-30 M^{106}+123 M^{104}-227 M^{102}+86 M^{100}+275 M^{98}-277 M^{96}+150 M^{94}-592 M^{92}+262 M^{90}+1471 M^{88}-1482 M^{86}-527 M^{84}+1641 M^{82}-608 M^{80}-455 M^{78}+442 M^{76}-134 M^{74}+15 M^{72}\right)+L^8 \left(M^{112}-23 M^{110}+236 M^{108}-1395 M^{106}+5041 M^{104}-10280 M^{102}+5209 M^{100}+28796 M^{98}-66314 M^{96}-2621 M^{94}+207104 M^{92}-212969 M^{90}-328225 M^{88}+737429 M^{86}+227157 M^{84}-1566263 M^{82}+260705 M^{80}+2585912 M^{78}-1085658 M^{76}-3781847 M^{74}+2068033 M^{72}+5269686 M^{70}-3090501 M^{68}-7045607 M^{66}+4161233 M^{64}+8708059 M^{62}-5295544 M^{60}-9472248 M^{58}+6381043 M^{56}+8732600 M^{54}-6911720 M^{52}-6473484 M^{50}+6399693 M^{48}+3555326 M^{46}-4853408 M^{44}-1158767 M^{42}+2895477 M^{40}-87086 M^{38}-1285653 M^{36}+366744 M^{34}+379718 M^{32}-235646 M^{30}-42318 M^{28}+78849 M^{26}-17202 M^{24}-11869 M^{22}+9585 M^{20}-3231 M^{18}+615 M^{16}-65 M^{14}+3 M^{12}\right)+L^3 \left(M^{114}-13 M^{112}+74 M^{110}-243 M^{108}+528 M^{106}-813 M^{104}+579 M^{102}+1490 M^{100}-5137 M^{98}+3730 M^{96}+8042 M^{94}-14545 M^{92}-3411 M^{90}+21323 M^{88}-3333 M^{86}-20344 M^{84}+4977 M^{82}+18742 M^{80}-4513 M^{78}-15624 M^{76}+7100 M^{74}+7703 M^{72}-6827 M^{70}-216 M^{68}+2354 M^{66}-1170 M^{64}+246 M^{62}-20 M^{60}\right)+L^7 \left(3 M^{114}-65 M^{112}+611 M^{110}-3178 M^{108}+9355 M^{106}-11822 M^{104}-14756 M^{102}+74126 M^{100}-55866 M^{98}-176931 M^{96}+355009 M^{94}+160533 M^{92}-983256 M^{90}+245405 M^{88}+1879060 M^{86}-1245229 M^{84}-2818360 M^{82}+2739931 M^{80}+3617217 M^{78}-4338818 M^{76}-4260933 M^{74}+5606078 M^{72}+4773927 M^{70}-6289343 M^{68}-4982161 M^{66}+6315526 M^{64}+4594209 M^{62}-5627332 M^{60}-3497351 M^{58}+4365132 M^{56}+2107878 M^{54}-2858216 M^{52}-984119 M^{50}+1540836 M^{48}+361531 M^{46}-687634 M^{44}-111726 M^{42}+268894 M^{40}+27460 M^{38}-101922 M^{36}+5225 M^{34}+33208 M^{32}-10542 M^{30}-6645 M^{28}+6510 M^{26}-2474 M^{24}+520 M^{22}-60 M^{20}+3 M^{18}\right)+L^4 \left(2 M^{116}-33 M^{114}+235 M^{112}-910 M^{110}+1872 M^{108}-989 M^{106}-4223 M^{104}+7855 M^{102}+4784 M^{100}-23494 M^{98}-2851 M^{96}+62013 M^{94}-14107 M^{92}-135264 M^{90}+78747 M^{88}+204880 M^{86}-188296 M^{84}-200565 M^{82}+266045 M^{80}+117992 M^{78}-241337 M^{76}-30651 M^{74}+150644 M^{72}-573 M^{70}-72788 M^{68}-1281 M^{66}+36447 M^{64}-1419 M^{62}-17919 M^{60}+6479 M^{58}+3773 M^{56}-3816 M^{54}+1337 M^{52}-224 M^{50}+15 M^{48}\right)+L^6 \left(3 M^{116}-61 M^{114}+533 M^{112}-2546 M^{110}+6739 M^{108}-7067 M^{106}-11081 M^{104}+41474 M^{102}-22395 M^{100}-79127 M^{98}+117169 M^{96}+47970 M^{94}-167190 M^{92}+17364 M^{90}-21214 M^{88}+155903 M^{86}+507340 M^{84}-947348 M^{82}-1024805 M^{80}+2428791 M^{78}+1128037 M^{76}-4109135 M^{74}-572728 M^{72}+5181375 M^{70}-434493 M^{68}-5074466 M^{66}+1395515 M^{64}+3907203 M^{62}-1815733 M^{60}-2294399 M^{58}+1590106 M^{56}+930324 M^{54}-1000897 M^{52}-172367 M^{50}+438039 M^{48}-61692 M^{46}-112493 M^{44}+51823 M^{42}+5351 M^{40}-10809 M^{38}+4931 M^{36}-2601 M^{34}+1502 M^{32}-591 M^{30}+139 M^{28}-18 M^{26}+M^{24}\right)+L^5 \left(M^{118}-19 M^{116}+157 M^{114}-729 M^{112}+2032 M^{110}-3237 M^{108}+1784 M^{106}+4377 M^{104}-14701 M^{102}+22376 M^{100}+4186 M^{98}-94824 M^{96}+119742 M^{94}+156406 M^{92}-431711 M^{90}-91020 M^{88}+908009 M^{86}-190318 M^{84}-1400092 M^{82}+665413 M^{80}+1678528 M^{78}-1170811 M^{76}-1549609 M^{74}+1453259 M^{72}+1044108 M^{70}-1319379 M^{68}-434800 M^{66}+865542 M^{64}+41781 M^{62}-387082 M^{60}+62202 M^{58}+104034 M^{56}-27829 M^{54}-16213 M^{52}-1190 M^{50}+7308 M^{48}+972 M^{46}-4375 M^{44}+2517 M^{42}-702 M^{40}+101 M^{38}-6 M^{36}\right)$

Retrieved from "http://katlas.math.toronto.edu/wiki/Data:9_31/A-polynomial"

Data:9 31/A-polynomial

From Knot Atlas

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