K14a347

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14a347

Polynomial invariants

Jones polynomial	Data:K14a347/Jones Polynomial
Alexander polynomial	$-2t^{4}+15t^{3}-46t^{2}+78t-89+78t^{-1}-46t^{-2}+15t^{-3}-2t^{-4}$
Conway polynomial	Data:K14a347/Conway Polynomial
Determinant	Data:K14a347/Determinant
Signature	Data:K14a347/Signature
HOMFLY-PT polynomial	$-z^{8}a^{-2}-z^{8}a^{-4}-2z^{6}a^{-2}-3z^{6}a^{-4}+z^{6}a^{-6}+3z^{6}-3a^{2}z^{4}-z^{4}a^{-2}-3z^{4}a^{-4}+2z^{4}a^{-6}+9z^{4}+a^{4}z^{2}-8a^{2}z^{2}-3z^{2}a^{-2}-z^{2}a^{-4}+8z^{2}+2a^{4}-4a^{2}-2a^{-2}+a^{-4}+4$
Kauffman polynomial	Failed to parse (syntax error): {\displaystyle z^{13} $Failed^{-1} +z^{13} $Failed^{-1} +8 z^{12} $Failed^{-1} +5 z^{12} $Failed^{-1} +3 z^{12}+4 \text{QuantumGroups$\grave{ }$a} z^{11}+10 z^{11} $Failed^{-1} +17 z^{11} $Failed^{-1} +11 z^{11} $Failed^{-1} +4 \text{QuantumGroups$\grave{ }$a}^2 z^{10}-8 z^{10} $Failed^{-1} +10 z^{10} $Failed^{-1} +15 z^{10} $Failed^{-1} +z^{10}+3 \text{QuantumGroups$\grave{ }$a}^3 z^9-4 \text{QuantumGroups$\grave{ }$a} z^9-29 z^9 $Failed^{-1} -46 z^9 $Failed^{-1} -9 z^9 $Failed^{-1} +15 z^9 $Failed^{-1} +\text{QuantumGroups$\grave{ }$a}^4 z^8-10 \text{QuantumGroups$\grave{ }$a}^2 z^8-12 z^8 $Failed^{-1} -41 z^8 $Failed^{-1} -21 z^8 $Failed^{-1} +11 z^8 $Failed^{-1} -14 z^8-13 \text{QuantumGroups$\grave{ }$a}^3 z^7-19 \text{QuantumGroups$\grave{ }$a} z^7+26 z^7 $Failed^{-1} +50 z^7 $Failed^{-1} -12 z^7 $Failed^{-1} -25 z^7 $Failed^{-1} +5 z^7 $Failed^{-1} -5 \text{QuantumGroups$\grave{ }$a}^4 z^6-4 \text{QuantumGroups$\grave{ }$a}^2 z^6+20 z^6 $Failed^{-1} +44 z^6 $Failed^{-1} -z^6 $Failed^{-1} -20 z^6 $Failed^{-1} +z^6 $Failed^{-1} -3 z^6+19 \text{QuantumGroups$\grave{ }$a}^3 z^5+30 \text{QuantumGroups$\grave{ }$a} z^5-17 z^5 $Failed^{-1} -25 z^5 $Failed^{-1} +19 z^5 $Failed^{-1} +8 z^5 $Failed^{-1} -8 z^5 $Failed^{-1} +9 \text{QuantumGroups$\grave{ }$a}^4 z^4+25 \text{QuantumGroups$\grave{ }$a}^2 z^4-9 z^4 $Failed^{-1} -13 z^4 $Failed^{-1} +14 z^4 $Failed^{-1} +9 z^4 $Failed^{-1} -z^4 $Failed^{-1} +24 z^4-11 \text{QuantumGroups$\grave{ }$a}^3 z^3-12 \text{QuantumGroups$\grave{ }$a} z^3+7 z^3 $Failed^{-1} +3 z^3 $Failed^{-1} -5 z^3 $Failed^{-1} +2 z^3 $Failed^{-1} +2 z^3 $Failed^{-1} -7 \text{QuantumGroups$\grave{ }$a}^4 z^2-19 \text{QuantumGroups$\grave{ }$a}^2 z^2-4 z^2 $Failed^{-1} -3 z^2 $Failed^{-1} -4 z^2 $Failed^{-1} -z^2 $Failed^{-1} -16 z^2+2 \text{QuantumGroups$\grave{ }$a}^3 z+\text{QuantumGroups$\grave{ }$a} z-z $Failed^{-1} +2 \text{QuantumGroups$\grave{ }$a}^4+4 \text{QuantumGroups$\grave{ }$a}^2+2 $Failed^{-1} + $Failed^{-1} +4}

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