K14a3143

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14a3143

Polynomial invariants

Jones polynomial	Data:K14a3143/Jones Polynomial
Alexander polynomial	$-2t^{4}+17t^{3}-61t^{2}+121t-149+121t^{-1}-61t^{-2}+17t^{-3}-2t^{-4}$
Conway polynomial	Data:K14a3143/Conway Polynomial
Determinant	Data:K14a3143/Determinant
Signature	Data:K14a3143/Signature
HOMFLY-PT polynomial	$-z^{8}a^{-2}-z^{8}a^{-4}-2z^{6}a^{-2}-z^{6}a^{-4}+2z^{6}a^{-6}+2z^{6}-a^{2}z^{4}-5z^{4}a^{-2}+z^{4}a^{-4}+3z^{4}a^{-6}-z^{4}a^{-8}+4z^{4}-a^{2}z^{2}-8z^{2}a^{-2}+3z^{2}a^{-4}+z^{2}a^{-6}-z^{2}a^{-8}+4z^{2}-4a^{-2}+2a^{-4}+3$
Kauffman polynomial	Failed to parse (syntax error): {\displaystyle 2 z^{13} $Failed^{-1} +2 z^{13} $Failed^{-1} +8 z^{12} $Failed^{-1} +17 z^{12} $Failed^{-1} +9 z^{12} $Failed^{-1} +14 z^{11} $Failed^{-1} +32 z^{11} $Failed^{-1} +35 z^{11} $Failed^{-1} +17 z^{11} $Failed^{-1} +16 z^{10} $Failed^{-1} +17 z^{10} $Failed^{-1} +18 z^{10} $Failed^{-1} +15 z^{10}+11 \text{QuantumGroups$\grave{ }$a} z^9-13 z^9 $Failed^{-1} -77 z^9 $Failed^{-1} -89 z^9 $Failed^{-1} -24 z^9 $Failed^{-1} +12 z^9 $Failed^{-1} +5 \text{QuantumGroups$\grave{ }$a}^2 z^8-66 z^8 $Failed^{-1} -72 z^8 $Failed^{-1} -82 z^8 $Failed^{-1} -39 z^8 $Failed^{-1} +5 z^8 $Failed^{-1} -27 z^8+\text{QuantumGroups$\grave{ }$a}^3 z^7-25 \text{QuantumGroups$\grave{ }$a} z^7-17 z^7 $Failed^{-1} +69 z^7 $Failed^{-1} +87 z^7 $Failed^{-1} -z^7 $Failed^{-1} -27 z^7 $Failed^{-1} +z^7 $Failed^{-1} -12 \text{QuantumGroups$\grave{ }$a}^2 z^6+62 z^6 $Failed^{-1} +99 z^6 $Failed^{-1} +96 z^6 $Failed^{-1} +29 z^6 $Failed^{-1} -11 z^6 $Failed^{-1} +7 z^6-2 \text{QuantumGroups$\grave{ }$a}^3 z^5+17 \text{QuantumGroups$\grave{ }$a} z^5+20 z^5 $Failed^{-1} -39 z^5 $Failed^{-1} -54 z^5 $Failed^{-1} +7 z^5 $Failed^{-1} +19 z^5 $Failed^{-1} -2 z^5 $Failed^{-1} +9 \text{QuantumGroups$\grave{ }$a}^2 z^4-16 z^4 $Failed^{-1} -50 z^4 $Failed^{-1} -53 z^4 $Failed^{-1} -13 z^4 $Failed^{-1} +7 z^4 $Failed^{-1} +10 z^4+\text{QuantumGroups$\grave{ }$a}^3 z^3-3 \text{QuantumGroups$\grave{ }$a} z^3-3 z^3 $Failed^{-1} +23 z^3 $Failed^{-1} +29 z^3 $Failed^{-1} +z^3 $Failed^{-1} -5 z^3 $Failed^{-1} +z^3 $Failed^{-1} -2 \text{QuantumGroups$\grave{ }$a}^2 z^2-8 z^2 $Failed^{-1} +7 z^2 $Failed^{-1} +13 z^2 $Failed^{-1} +3 z^2 $Failed^{-1} -z^2 $Failed^{-1} -8 z^2-2 z $Failed^{-1} -8 z $Failed^{-1} -8 z $Failed^{-1} -2 z $Failed^{-1} +4 $Failed^{-1} +2 $Failed^{-1} +3}

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