Data:8 13/A-polynomial

From Knot Atlas

$L^{14} M^{36}+M^{36}+L^{13} \left(6 M^{42}-19 M^{40}+10 M^{38}+31 M^{36}-15 M^{34}-5 M^{32}+11 M^{30}-7 M^{28}+2 M^{26}\right)+L \left(2 M^{46}-7 M^{44}+11 M^{42}-5 M^{40}-15 M^{38}+31 M^{36}+10 M^{34}-19 M^{32}+6 M^{30}\right)+L^{12} \left(15 M^{48}-88 M^{46}+143 M^{44}+86 M^{42}-408 M^{40}+94 M^{38}+531 M^{36}-192 M^{34}-248 M^{32}+166 M^{30}+20 M^{28}-40 M^{26}+22 M^{24}-20 M^{22}+15 M^{20}-6 M^{18}+M^{16}\right)+L^{11} \left(20 M^{54}-162 M^{52}+420 M^{50}-135 M^{48}-1120 M^{46}+1276 M^{44}+1442 M^{42}-2821 M^{40}-889 M^{38}+3417 M^{36}+517 M^{34}-2157 M^{32}-195 M^{30}+820 M^{28}+237 M^{26}-263 M^{24}-181 M^{22}+131 M^{20}+69 M^{18}-96 M^{16}+43 M^{14}-10 M^{12}+M^{10}\right)+L^2 \left(M^{56}-6 M^{54}+15 M^{52}-20 M^{50}+22 M^{48}-40 M^{46}+20 M^{44}+166 M^{42}-248 M^{40}-192 M^{38}+531 M^{36}+94 M^{34}-408 M^{32}+86 M^{30}+143 M^{28}-88 M^{26}+15 M^{24}\right)+L^{10} \left(15 M^{60}-148 M^{58}+509 M^{56}-514 M^{54}-970 M^{52}+2317 M^{50}+817 M^{48}-5226 M^{46}+509 M^{44}+7677 M^{42}-1750 M^{40}-9136 M^{38}+2413 M^{36}+10154 M^{34}-1018 M^{32}-8552 M^{30}+619 M^{28}+5728 M^{26}-879 M^{24}-3002 M^{22}+1095 M^{20}+939 M^{18}-641 M^{16}-120 M^{14}+258 M^{12}-115 M^{10}+24 M^8-2 M^6\right)+L^3 \left(M^{62}-10 M^{60}+43 M^{58}-96 M^{56}+69 M^{54}+131 M^{52}-181 M^{50}-263 M^{48}+237 M^{46}+820 M^{44}-195 M^{42}-2157 M^{40}+517 M^{38}+3417 M^{36}-889 M^{34}-2821 M^{32}+1442 M^{30}+1276 M^{28}-1120 M^{26}-135 M^{24}+420 M^{22}-162 M^{20}+20 M^{18}\right)+L^4 \left(-2 M^{66}+24 M^{64}-115 M^{62}+258 M^{60}-120 M^{58}-641 M^{56}+939 M^{54}+1095 M^{52}-3002 M^{50}-879 M^{48}+5728 M^{46}+619 M^{44}-8552 M^{42}-1018 M^{40}+10154 M^{38}+2413 M^{36}-9136 M^{34}-1750 M^{32}+7677 M^{30}+509 M^{28}-5226 M^{26}+817 M^{24}+2317 M^{22}-970 M^{20}-514 M^{18}+509 M^{16}-148 M^{14}+15 M^{12}\right)+L^9 \left(6 M^{66}-67 M^{64}+280 M^{62}-453 M^{60}-161 M^{58}+1186 M^{56}+211 M^{54}-3135 M^{52}-282 M^{50}+6971 M^{48}+877 M^{46}-14320 M^{44}-264 M^{42}+22374 M^{40}-1692 M^{38}-26328 M^{36}+5965 M^{34}+26483 M^{32}-6778 M^{30}-20088 M^{28}+6576 M^{26}+11133 M^{24}-5382 M^{22}-4196 M^{20}+3608 M^{18}+392 M^{16}-1391 M^{14}+352 M^{12}+330 M^{10}-288 M^8+98 M^6-16 M^4+M^2\right)+L^5 \left(M^{70}-16 M^{68}+98 M^{66}-288 M^{64}+330 M^{62}+352 M^{60}-1391 M^{58}+392 M^{56}+3608 M^{54}-4196 M^{52}-5382 M^{50}+11133 M^{48}+6576 M^{46}-20088 M^{44}-6778 M^{42}+26483 M^{40}+5965 M^{38}-26328 M^{36}-1692 M^{34}+22374 M^{32}-264 M^{30}-14320 M^{28}+877 M^{26}+6971 M^{24}-282 M^{22}-3135 M^{20}+211 M^{18}+1186 M^{16}-161 M^{14}-453 M^{12}+280 M^{10}-67 M^8+6 M^6\right)+L^7 \left(-2 M^{72}+26 M^{70}-139 M^{68}+351 M^{66}-232 M^{64}-768 M^{62}+1076 M^{60}+2272 M^{58}-4643 M^{56}-4160 M^{54}+12366 M^{52}+6882 M^{50}-27465 M^{48}-7544 M^{46}+47282 M^{44}+5444 M^{42}-66058 M^{40}-787 M^{38}+75630 M^{36}-787 M^{34}-66058 M^{32}+5444 M^{30}+47282 M^{28}-7544 M^{26}-27465 M^{24}+6882 M^{22}+12366 M^{20}-4160 M^{18}-4643 M^{16}+2272 M^{14}+1076 M^{12}-768 M^{10}-232 M^8+351 M^6-139 M^4+26 M^2-2\right)+L^6 \left(M^{72}-15 M^{70}+95 M^{68}-314 M^{66}+472 M^{64}+248 M^{62}-1961 M^{60}+1027 M^{58}+5681 M^{56}-6945 M^{54}-10122 M^{52}+18153 M^{50}+14529 M^{48}-33470 M^{46}-16089 M^{44}+46426 M^{42}+13798 M^{40}-52559 M^{38}-6703 M^{36}+52732 M^{34}+2505 M^{32}-42112 M^{30}+2353 M^{28}+27191 M^{26}-4701 M^{24}-13635 M^{22}+4419 M^{20}+4317 M^{18}-2059 M^{16}-806 M^{14}+613 M^{12}-96 M^{10}+113 M^8-130 M^6+58 M^4-12 M^2+1\right)+L^8 \left(M^{72}-12 M^{70}+58 M^{68}-130 M^{66}+113 M^{64}-96 M^{62}+613 M^{60}-806 M^{58}-2059 M^{56}+4317 M^{54}+4419 M^{52}-13635 M^{50}-4701 M^{48}+27191 M^{46}+2353 M^{44}-42112 M^{42}+2505 M^{40}+52732 M^{38}-6703 M^{36}-52559 M^{34}+13798 M^{32}+46426 M^{30}-16089 M^{28}-33470 M^{26}+14529 M^{24}+18153 M^{22}-10122 M^{20}-6945 M^{18}+5681 M^{16}+1027 M^{14}-1961 M^{12}+248 M^{10}+472 M^8-314 M^6+95 M^4-15 M^2+1\right)$

Retrieved from "http://katlas.math.toronto.edu/wiki/Data:8_13/A-polynomial"

Data:8 13/A-polynomial

From Knot Atlas

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