K14a2095

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14a2095

Polynomial invariants

Jones polynomial	Data:K14a2095/Jones Polynomial
Alexander polynomial	$-t^{5}+7t^{4}-19t^{3}+33t^{2}-43t+47-43t^{-1}+33t^{-2}-19t^{-3}+7t^{-4}-t^{-5}$
Conway polynomial	Data:K14a2095/Conway Polynomial
Determinant	Data:K14a2095/Determinant
Signature	Data:K14a2095/Signature
HOMFLY-PT polynomial	$-z^{10}a^{-4}+2z^{8}a^{-2}-7z^{8}a^{-4}+2z^{8}a^{-6}+12z^{6}a^{-2}-20z^{6}a^{-4}+12z^{6}a^{-6}-z^{6}a^{-8}-z^{6}+25z^{4}a^{-2}-31z^{4}a^{-4}+25z^{4}a^{-6}-5z^{4}a^{-8}-5z^{4}+22z^{2}a^{-2}-25z^{2}a^{-4}+22z^{2}a^{-6}-7z^{2}a^{-8}-7z^{2}+7a^{-2}-8a^{-4}+7a^{-6}-3a^{-8}-2$
Kauffman polynomial	Failed to parse (syntax error): {\displaystyle z^{13} $Failed^{-1} +z^{13} $Failed^{-1} +3 z^{12} $Failed^{-1} +7 z^{12} $Failed^{-1} +4 z^{12} $Failed^{-1} +4 z^{11} $Failed^{-1} +7 z^{11} $Failed^{-1} +11 z^{11} $Failed^{-1} +8 z^{11} $Failed^{-1} -6 z^{10} $Failed^{-1} -18 z^{10} $Failed^{-1} +z^{10} $Failed^{-1} +10 z^{10} $Failed^{-1} +3 z^{10}+\text{QuantumGroups$\grave{ }$a} z^9-18 z^9 $Failed^{-1} -45 z^9 $Failed^{-1} -54 z^9 $Failed^{-1} -19 z^9 $Failed^{-1} +9 z^9 $Failed^{-1} -21 z^8 $Failed^{-1} -13 z^8 $Failed^{-1} -42 z^8 $Failed^{-1} -26 z^8 $Failed^{-1} +7 z^8 $Failed^{-1} -17 z^8-6 \text{QuantumGroups$\grave{ }$a} z^7+21 z^7 $Failed^{-1} +71 z^7 $Failed^{-1} +80 z^7 $Failed^{-1} +14 z^7 $Failed^{-1} -17 z^7 $Failed^{-1} +5 z^7 $Failed^{-1} +64 z^6 $Failed^{-1} +67 z^6 $Failed^{-1} +81 z^6 $Failed^{-1} +33 z^6 $Failed^{-1} -9 z^6 $Failed^{-1} +3 z^6 $Failed^{-1} +33 z^6+12 \text{QuantumGroups$\grave{ }$a} z^5-48 z^5 $Failed^{-1} -62 z^5 $Failed^{-1} -4 z^5 $Failed^{-1} +15 z^5 $Failed^{-1} -6 z^5 $Failed^{-1} +z^5 $Failed^{-1} -65 z^4 $Failed^{-1} -79 z^4 $Failed^{-1} -75 z^4 $Failed^{-1} -24 z^4 $Failed^{-1} +4 z^4 $Failed^{-1} -5 z^4 $Failed^{-1} -28 z^4-9 \text{QuantumGroups$\grave{ }$a} z^3-9 z^3 $Failed^{-1} +14 z^3 $Failed^{-1} +24 z^3 $Failed^{-1} +2 z^3 $Failed^{-1} -5 z^3 $Failed^{-1} +z^3 $Failed^{-1} -2 z^3 $Failed^{-1} +33 z^2 $Failed^{-1} +41 z^2 $Failed^{-1} +36 z^2 $Failed^{-1} +13 z^2 $Failed^{-1} -z^2 $Failed^{-1} +2 z^2 $Failed^{-1} +12 z^2+2 \text{QuantumGroups$\grave{ }$a} z+3 z $Failed^{-1} -z $Failed^{-1} -4 z $Failed^{-1} +z $Failed^{-1} +z $Failed^{-1} -7 $Failed^{-1} -8 $Failed^{-1} -7 $Failed^{-1} -3 $Failed^{-1} -2}

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