K12n704

Dowker-Thistlethwaite code

6 -10 -12 14 -20 -18 24 -22 -2 -4 -16 -8

Jones polynomial	$-q^{3}+3q^{2}-5q+8-9q^{-1}+10q^{-2}-9q^{-3}+7q^{-4}-5q^{-5}+3q^{-6}-q^{-7}$
Alexander polynomial	Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle 4 t^2-15 t+23-15 t^{-1} +4 t^{-2} }
Conway polynomial	$4z^{4}+z^{2}+1$
Determinant	61
Signature	0
HOMFLY-PT polynomial	$-z^{2}a^{6}+z^{4}a^{4}-a^{4}+2z^{4}a^{2}+3z^{2}a^{2}+2a^{2}+z^{4}-z^{2}a^{-2}$
Kauffman polynomial	Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle 2 a^4 z^{10}+2 a^2 z^{10}+4 a^5 z^9+7 a^3 z^9+3 a z^9+3 a^6 z^8-5 a^4 z^8-7 a^2 z^8+z^8+a^7 z^7-18 a^5 z^7-32 a^3 z^7-13 a z^7-13 a^6 z^6-4 a^4 z^6+10 a^2 z^6+z^6-4 a^7 z^5+23 a^5 z^5+48 a^3 z^5+26 a z^5+5 z^5 a^{-1} +14 a^6 z^4+9 a^4 z^4-11 a^2 z^4+3 z^4 a^{-2} -3 z^4+3 a^7 z^3-12 a^5 z^3-31 a^3 z^3-23 a z^3-6 z^3 a^{-1} +z^3 a^{-3} -4 a^6 z^2-a^4 z^2+7 a^2 z^2-2 z^2 a^{-2} +2 z^2+3 a^5 z+7 a^3 z+6 a z+2 z a^{-1} -a^4-2 a^2}

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