Data:8 18/A-polynomial

From Knot Atlas

$L^8 M^{32}+M^{32}+L^7 \left(M^{46}-2 M^{44}-3 M^{42}+18 M^{38}-12 M^{36}-30 M^{34}+64 M^{32}-30 M^{30}-12 M^{28}+18 M^{26}-3 M^{22}-2 M^{20}+M^{18}\right)+L \left(M^{46}-2 M^{44}-3 M^{42}+18 M^{38}-12 M^{36}-30 M^{34}+64 M^{32}-30 M^{30}-12 M^{28}+18 M^{26}-3 M^{22}-2 M^{20}+M^{18}\right)+L^6 \left(-2 M^{54}+16 M^{52}-32 M^{50}-38 M^{48}+162 M^{46}+13 M^{44}-370 M^{42}+170 M^{40}+200 M^{38}+20 M^{36}-174 M^{34}+98 M^{32}-174 M^{30}+20 M^{28}+200 M^{26}+170 M^{24}-370 M^{22}+13 M^{20}+162 M^{18}-38 M^{16}-32 M^{14}+16 M^{12}-2 M^{10}\right)+L^2 \left(-2 M^{54}+16 M^{52}-32 M^{50}-38 M^{48}+162 M^{46}+13 M^{44}-370 M^{42}+170 M^{40}+200 M^{38}+20 M^{36}-174 M^{34}+98 M^{32}-174 M^{30}+20 M^{28}+200 M^{26}+170 M^{24}-370 M^{22}+13 M^{20}+162 M^{18}-38 M^{16}-32 M^{14}+16 M^{12}-2 M^{10}\right)+L^5 \left(M^{62}-14 M^{60}+75 M^{58}-184 M^{56}+173 M^{54}+32 M^{52}-67 M^{50}-22 M^{48}+49 M^{46}-890 M^{44}+849 M^{42}+1838 M^{40}-704 M^{38}-4126 M^{36}+678 M^{34}+4680 M^{32}+678 M^{30}-4126 M^{28}-704 M^{26}+1838 M^{24}+849 M^{22}-890 M^{20}+49 M^{18}-22 M^{16}-67 M^{14}+32 M^{12}+173 M^{10}-184 M^8+75 M^6-14 M^4+M^2\right)+L^3 \left(M^{62}-14 M^{60}+75 M^{58}-184 M^{56}+173 M^{54}+32 M^{52}-67 M^{50}-22 M^{48}+49 M^{46}-890 M^{44}+849 M^{42}+1838 M^{40}-704 M^{38}-4126 M^{36}+678 M^{34}+4680 M^{32}+678 M^{30}-4126 M^{28}-704 M^{26}+1838 M^{24}+849 M^{22}-890 M^{20}+49 M^{18}-22 M^{16}-67 M^{14}+32 M^{12}+173 M^{10}-184 M^8+75 M^6-14 M^4+M^2\right)+L^4 \left(M^{64}-16 M^{62}+101 M^{60}-300 M^{58}+324 M^{56}+284 M^{54}-499 M^{52}-1264 M^{50}+1677 M^{48}+2184 M^{46}-1954 M^{44}-4120 M^{42}+2202 M^{40}+3536 M^{38}-234 M^{36}-1888 M^{34}+2 M^{32}-1888 M^{30}-234 M^{28}+3536 M^{26}+2202 M^{24}-4120 M^{22}-1954 M^{20}+2184 M^{18}+1677 M^{16}-1264 M^{14}-499 M^{12}+284 M^{10}+324 M^8-300 M^6+101 M^4-16 M^2+1\right)$

Retrieved from "http://katlas.math.toronto.edu/wiki/Data:8_18/A-polynomial"

Data:8 18/A-polynomial

From Knot Atlas

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