K14a892

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14a892

Polynomial invariants

Jones polynomial	Data:K14a892/Jones Polynomial
Alexander polynomial	$-3t^{4}+18t^{3}-55t^{2}+105t-129+105t^{-1}-55t^{-2}+18t^{-3}-3t^{-4}$
Conway polynomial	Data:K14a892/Conway Polynomial
Determinant	Data:K14a892/Determinant
Signature	Data:K14a892/Signature
HOMFLY-PT polynomial	$-z^{8}a^{-2}-2z^{8}a^{-4}-3z^{6}a^{-2}-9z^{6}a^{-4}+5z^{6}a^{-6}+z^{6}-4z^{4}a^{-2}-20z^{4}a^{-4}+18z^{4}a^{-6}-4z^{4}a^{-8}+3z^{4}-z^{2}a^{-2}-21z^{2}a^{-4}+25z^{2}a^{-6}-9z^{2}a^{-8}+z^{2}a^{-10}+4z^{2}+a^{-2}-9a^{-4}+12a^{-6}-6a^{-8}+a^{-10}+2$
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 z^{13} $Failed^{-1} +z^{13} $Failed^{-1} +6 z^{12} $Failed^{-1} +11 z^{12} $Failed^{-1} +5 z^{12} $Failed^{-1} +14 z^{11} $Failed^{-1} +33 z^{11} $Failed^{-1} +29 z^{11} $Failed^{-1} +10 z^{11} $Failed^{-1} +18 z^{10} $Failed^{-1} +32 z^{10} $Failed^{-1} +27 z^{10} $Failed^{-1} +23 z^{10} $Failed^{-1} +10 z^{10} $Failed^{-1} +16 z^9 $Failed^{-1} -3 z^9 $Failed^{-1} -70 z^9 $Failed^{-1} -69 z^9 $Failed^{-1} -13 z^9 $Failed^{-1} +5 z^9 $Failed^{-1} -25 z^8 $Failed^{-1} -115 z^8 $Failed^{-1} -166 z^8 $Failed^{-1} -118 z^8 $Failed^{-1} -31 z^8 $Failed^{-1} +z^8 $Failed^{-1} +10 z^8+4 \text{QuantumGroups$\grave{ }$a} z^7-28 z^7 $Failed^{-1} -34 z^7 $Failed^{-1} +23 z^7 $Failed^{-1} +6 z^7 $Failed^{-1} -36 z^7 $Failed^{-1} -17 z^7 $Failed^{-1} +\text{QuantumGroups$\grave{ }$a}^2 z^6+11 z^6 $Failed^{-1} +153 z^6 $Failed^{-1} +249 z^6 $Failed^{-1} +159 z^6 $Failed^{-1} +30 z^6 $Failed^{-1} -3 z^6 $Failed^{-1} -18 z^6-6 \text{QuantumGroups$\grave{ }$a} z^5+24 z^5 $Failed^{-1} +42 z^5 $Failed^{-1} +36 z^5 $Failed^{-1} +76 z^5 $Failed^{-1} +72 z^5 $Failed^{-1} +20 z^5 $Failed^{-1} -2 \text{QuantumGroups$\grave{ }$a}^2 z^4+2 z^4 $Failed^{-1} -119 z^4 $Failed^{-1} -188 z^4 $Failed^{-1} -100 z^4 $Failed^{-1} -12 z^4 $Failed^{-1} +3 z^4 $Failed^{-1} +16 z^4+2 \text{QuantumGroups$\grave{ }$a} z^3-11 z^3 $Failed^{-1} -19 z^3 $Failed^{-1} -34 z^3 $Failed^{-1} -60 z^3 $Failed^{-1} -42 z^3 $Failed^{-1} -10 z^3 $Failed^{-1} +\text{QuantumGroups$\grave{ }$a}^2 z^2-z^2 $Failed^{-1} +53 z^2 $Failed^{-1} +75 z^2 $Failed^{-1} +36 z^2 $Failed^{-1} +4 z^2 $Failed^{-1} -z^2 $Failed^{-1} -9 z^2+2 z $Failed^{-1} +4 z $Failed^{-1} +8 z $Failed^{-1} +13 z $Failed^{-1} +9 z $Failed^{-1} +2 z $Failed^{-1} - $Failed^{-1} -9 $Failed^{-1} -12 $Failed^{-1} -6 $Failed^{-1} - $Failed^{-1} +2}

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