K14n27112

Knot presentations

Dowker-Thistlethwaite code

8 10 12 -16 2 20 22 24 -26 -28 4 14 -6 -18

Notes on presentations of K14n27112

Polynomial invariants

Jones polynomial	Data:K14n27112/Jones Polynomial
Alexander polynomial	$t^{5}-5t^{4}+15t^{3}-28t^{2}+39t-43+39t^{-1}-28t^{-2}+15t^{-3}-5t^{-4}+t^{-5}$
Conway polynomial	Data:K14n27112/Conway Polynomial
Determinant	Data:K14n27112/Determinant
Signature	Data:K14n27112/Signature
HOMFLY-PT polynomial	$z^{10}a^{-8}-z^{8}a^{-6}+7z^{8}a^{-8}-z^{8}a^{-10}-4z^{6}a^{-6}+19z^{6}a^{-8}-5z^{6}a^{-10}-3z^{4}a^{-6}+24z^{4}a^{-8}-9z^{4}a^{-10}+3z^{2}a^{-6}+11z^{2}a^{-8}-7z^{2}a^{-10}+3a^{-6}-a^{-8}-a^{-10}$
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 z^{12} a^{-8} +z^{12} a^{-10} +z^{11} a^{-7} +5 z^{11} a^{-9} +4 z^{11} a^{-11} -z^{10} a^{-8} +8 z^{10} a^{-10} +9 z^{10} a^{-12} -6 z^9 a^{-9} +7 z^9 a^{-11} +13 z^9 a^{-13} +5 z^8 a^{-6} +14 z^8 a^{-8} -9 z^8 a^{-10} -5 z^8 a^{-12} +13 z^8 a^{-14} +z^7 a^{-5} +z^7 a^{-7} +5 z^7 a^{-9} -21 z^7 a^{-11} -17 z^7 a^{-13} +9 z^7 a^{-15} -16 z^6 a^{-6} -47 z^6 a^{-8} -16 z^6 a^{-10} -8 z^6 a^{-12} -19 z^6 a^{-14} +4 z^6 a^{-16} -3 z^5 a^{-5} -14 z^5 a^{-7} -24 z^5 a^{-9} +8 z^5 a^{-11} +8 z^5 a^{-13} -12 z^5 a^{-15} +z^5 a^{-17} +14 z^4 a^{-6} +44 z^4 a^{-8} +18 z^4 a^{-10} +4 z^4 a^{-12} +12 z^4 a^{-14} -4 z^4 a^{-16} +3 z^3 a^{-5} +13 z^3 a^{-7} +19 z^3 a^{-9} -z^3 a^{-11} -2 z^3 a^{-13} +7 z^3 a^{-15} -z^3 a^{-17} -11 z^2 a^{-8} -8 z^2 a^{-10} -2 z^2 a^{-14} +z^2 a^{-16} -z a^{-5} -z a^{-9} +z a^{-13} -z a^{-15} -3 a^{-6} - a^{-8} + a^{-10} }

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