K14n13178

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14n13178

Polynomial invariants

Jones polynomial	Data:K14n13178/Jones Polynomial
Alexander polynomial	$2t^{4}-10t^{3}+21t^{2}-27t+29-27t^{-1}+21t^{-2}-10t^{-3}+2t^{-4}$
Conway polynomial	Data:K14n13178/Conway Polynomial
Determinant	Data:K14n13178/Determinant
Signature	Data:K14n13178/Signature
HOMFLY-PT polynomial	$z^{8}a^{-2}+z^{8}a^{-4}+4z^{6}a^{-2}+4z^{6}a^{-4}-z^{6}a^{-6}-z^{6}+4z^{4}a^{-2}+4z^{4}a^{-4}-4z^{4}a^{-6}-3z^{4}+z^{2}a^{-2}+2z^{2}a^{-4}-4z^{2}a^{-6}+z^{2}a^{-8}-z^{2}+a^{-4}-2a^{-6}+a^{-8}+1$
Kauffman polynomial	Failed to parse (syntax error): {\displaystyle 2 z^{12} $Failed^{-1} +2 z^{12} $Failed^{-1} +5 z^{11} $Failed^{-1} +10 z^{11} $Failed^{-1} +5 z^{11} $Failed^{-1} +z^{10} $Failed^{-1} +2 z^{10} $Failed^{-1} +5 z^{10} $Failed^{-1} +4 z^{10}+\text{QuantumGroups$\grave{ }$a} z^9-24 z^9 $Failed^{-1} -43 z^9 $Failed^{-1} -15 z^9 $Failed^{-1} +3 z^9 $Failed^{-1} -39 z^8 $Failed^{-1} -30 z^8 $Failed^{-1} -12 z^8 $Failed^{-1} +z^8 $Failed^{-1} -22 z^8-5 \text{QuantumGroups$\grave{ }$a} z^7+33 z^7 $Failed^{-1} +54 z^7 $Failed^{-1} +12 z^7 $Failed^{-1} -4 z^7 $Failed^{-1} +76 z^6 $Failed^{-1} +36 z^6 $Failed^{-1} +40 z^6+8 \text{QuantumGroups$\grave{ }$a} z^5-10 z^5 $Failed^{-1} -29 z^5 $Failed^{-1} -17 z^5 $Failed^{-1} -5 z^5 $Failed^{-1} +z^5 $Failed^{-1} -45 z^4 $Failed^{-1} -14 z^4 $Failed^{-1} +7 z^4 $Failed^{-1} +2 z^4 $Failed^{-1} -26 z^4-4 \text{QuantumGroups$\grave{ }$a} z^3-z^3 $Failed^{-1} +12 z^3 $Failed^{-1} +12 z^3 $Failed^{-1} +7 z^3 $Failed^{-1} +4 z^3 $Failed^{-1} +8 z^2 $Failed^{-1} +z^2 $Failed^{-1} -7 z^2 $Failed^{-1} -2 z^2 $Failed^{-1} +2 z^2 $Failed^{-1} +4 z^2-z $Failed^{-1} -2 z $Failed^{-1} -2 z $Failed^{-1} -3 z $Failed^{-1} -2 z $Failed^{-1} + $Failed^{-1} +2 $Failed^{-1} + $Failed^{-1} +1}

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