K14a1604

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14a1604

Polynomial invariants

Jones polynomial	Data:K14a1604/Jones Polynomial
Alexander polynomial	$-2t^{4}+15t^{3}-52t^{2}+105t-131+105t^{-1}-52t^{-2}+15t^{-3}-2t^{-4}$
Conway polynomial	Data:K14a1604/Conway Polynomial
Determinant	Data:K14a1604/Determinant
Signature	Data:K14a1604/Signature
HOMFLY-PT polynomial	$-z^{8}a^{-2}-z^{8}+a^{2}z^{6}-z^{6}a^{-2}+3z^{6}a^{-4}-4z^{6}+3a^{2}z^{4}+3z^{4}a^{-2}+5z^{4}a^{-4}-3z^{4}a^{-6}-10z^{4}+4a^{2}z^{2}+9z^{2}a^{-2}+z^{2}a^{-4}-3z^{2}a^{-6}+z^{2}a^{-8}-12z^{2}+2a^{2}+6a^{-2}-2a^{-4}-5$
Kauffman polynomial	Failed to parse (syntax error): {\displaystyle z^{13} $Failed^{-1} +z^{13} $Failed^{-1} +10 z^{12} $Failed^{-1} +5 z^{12} $Failed^{-1} +5 z^{12}+9 \text{QuantumGroups$\grave{ }$a} z^{11}+24 z^{11} $Failed^{-1} +27 z^{11} $Failed^{-1} +12 z^{11} $Failed^{-1} +8 \text{QuantumGroups$\grave{ }$a}^2 z^{10}+19 z^{10} $Failed^{-1} +34 z^{10} $Failed^{-1} +18 z^{10} $Failed^{-1} +11 z^{10}+4 \text{QuantumGroups$\grave{ }$a}^3 z^9-20 \text{QuantumGroups$\grave{ }$a} z^9-60 z^9 $Failed^{-1} -37 z^9 $Failed^{-1} +17 z^9 $Failed^{-1} +18 z^9 $Failed^{-1} +\text{QuantumGroups$\grave{ }$a}^4 z^8-27 \text{QuantumGroups$\grave{ }$a}^2 z^8-109 z^8 $Failed^{-1} -89 z^8 $Failed^{-1} -12 z^8 $Failed^{-1} +12 z^8 $Failed^{-1} -72 z^8-15 \text{QuantumGroups$\grave{ }$a}^3 z^7+\text{QuantumGroups$\grave{ }$a} z^7+28 z^7 $Failed^{-1} -35 z^7 $Failed^{-1} -78 z^7 $Failed^{-1} -26 z^7 $Failed^{-1} +5 z^7 $Failed^{-1} -4 \text{QuantumGroups$\grave{ }$a}^4 z^6+31 \text{QuantumGroups$\grave{ }$a}^2 z^6+135 z^6 $Failed^{-1} +65 z^6 $Failed^{-1} -22 z^6 $Failed^{-1} -19 z^6 $Failed^{-1} +z^6 $Failed^{-1} +103 z^6+19 \text{QuantumGroups$\grave{ }$a}^3 z^5+22 \text{QuantumGroups$\grave{ }$a} z^5+23 z^5 $Failed^{-1} +77 z^5 $Failed^{-1} +77 z^5 $Failed^{-1} +13 z^5 $Failed^{-1} -7 z^5 $Failed^{-1} +5 \text{QuantumGroups$\grave{ }$a}^4 z^4-17 \text{QuantumGroups$\grave{ }$a}^2 z^4-82 z^4 $Failed^{-1} -20 z^4 $Failed^{-1} +26 z^4 $Failed^{-1} +12 z^4 $Failed^{-1} -z^4 $Failed^{-1} -71 z^4-10 \text{QuantumGroups$\grave{ }$a}^3 z^3-17 \text{QuantumGroups$\grave{ }$a} z^3-26 z^3 $Failed^{-1} -46 z^3 $Failed^{-1} -33 z^3 $Failed^{-1} -3 z^3 $Failed^{-1} +3 z^3 $Failed^{-1} -2 \text{QuantumGroups$\grave{ }$a}^4 z^2+7 \text{QuantumGroups$\grave{ }$a}^2 z^2+30 z^2 $Failed^{-1} +6 z^2 $Failed^{-1} -7 z^2 $Failed^{-1} -3 z^2 $Failed^{-1} +29 z^2+2 \text{QuantumGroups$\grave{ }$a}^3 z+5 \text{QuantumGroups$\grave{ }$a} z+8 z $Failed^{-1} +10 z $Failed^{-1} +6 z $Failed^{-1} +z $Failed^{-1} -2 \text{QuantumGroups$\grave{ }$a}^2-6 $Failed^{-1} -2 $Failed^{-1} -5}

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