K14n10800

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14n10800

Polynomial invariants

Jones polynomial	Data:K14n10800/Jones Polynomial
Alexander polynomial	$-4t^{3}+27t^{2}-73t+101-73t^{-1}+27t^{-2}-4t^{-3}$
Conway polynomial	Data:K14n10800/Conway Polynomial
Determinant	Data:K14n10800/Determinant
Signature	Data:K14n10800/Signature
HOMFLY-PT polynomial	$-z^{2}a^{6}+2z^{4}a^{4}-z^{6}a^{2}+3z^{4}a^{2}+5z^{2}a^{2}+2a^{2}-3z^{6}-7z^{4}-10z^{2}-4+5z^{4}a^{-2}+7z^{2}a^{-2}+4a^{-2}-2z^{2}a^{-4}-a^{-4}$
Kauffman polynomial	Failed to parse (syntax error): {\displaystyle 3 \text{QuantumGroups$\grave{ }$a}^2 z^{12}+3 z^{12}+9 \text{QuantumGroups$\grave{ }$a}^3 z^{11}+18 \text{QuantumGroups$\grave{ }$a} z^{11}+9 z^{11} $Failed^{-1} +11 \text{QuantumGroups$\grave{ }$a}^4 z^{10}+17 \text{QuantumGroups$\grave{ }$a}^2 z^{10}+10 z^{10} $Failed^{-1} +16 z^{10}+8 \text{QuantumGroups$\grave{ }$a}^5 z^9-14 \text{QuantumGroups$\grave{ }$a}^3 z^9-42 \text{QuantumGroups$\grave{ }$a} z^9-15 z^9 $Failed^{-1} +5 z^9 $Failed^{-1} +4 \text{QuantumGroups$\grave{ }$a}^6 z^8-29 \text{QuantumGroups$\grave{ }$a}^4 z^8-72 \text{QuantumGroups$\grave{ }$a}^2 z^8-21 z^8 $Failed^{-1} +z^8 $Failed^{-1} -61 z^8+\text{QuantumGroups$\grave{ }$a}^7 z^7-22 \text{QuantumGroups$\grave{ }$a}^5 z^7-8 \text{QuantumGroups$\grave{ }$a}^3 z^7+34 \text{QuantumGroups$\grave{ }$a} z^7+19 z^7 $Failed^{-1} -12 \text{QuantumGroups$\grave{ }$a}^6 z^6+25 \text{QuantumGroups$\grave{ }$a}^4 z^6+100 \text{QuantumGroups$\grave{ }$a}^2 z^6+39 z^6 $Failed^{-1} +8 z^6 $Failed^{-1} +94 z^6-3 \text{QuantumGroups$\grave{ }$a}^7 z^5+18 \text{QuantumGroups$\grave{ }$a}^5 z^5+27 \text{QuantumGroups$\grave{ }$a}^3 z^5-11 z^5 $Failed^{-1} -2 z^5 $Failed^{-1} +3 z^5 $Failed^{-1} +10 \text{QuantumGroups$\grave{ }$a}^6 z^4-10 \text{QuantumGroups$\grave{ }$a}^4 z^4-63 \text{QuantumGroups$\grave{ }$a}^2 z^4-43 z^4 $Failed^{-1} -14 z^4 $Failed^{-1} -72 z^4+2 \text{QuantumGroups$\grave{ }$a}^7 z^3-8 \text{QuantumGroups$\grave{ }$a}^5 z^3-22 \text{QuantumGroups$\grave{ }$a}^3 z^3-15 \text{QuantumGroups$\grave{ }$a} z^3-3 z^3 $Failed^{-1} -4 z^3 $Failed^{-1} -4 z^3 $Failed^{-1} -3 \text{QuantumGroups$\grave{ }$a}^6 z^2+16 \text{QuantumGroups$\grave{ }$a}^2 z^2+20 z^2 $Failed^{-1} +7 z^2 $Failed^{-1} +26 z^2+2 \text{QuantumGroups$\grave{ }$a}^5 z+7 \text{QuantumGroups$\grave{ }$a}^3 z+7 \text{QuantumGroups$\grave{ }$a} z+3 z $Failed^{-1} +2 z $Failed^{-1} +z $Failed^{-1} -2 \text{QuantumGroups$\grave{ }$a}^2-4 $Failed^{-1} - $Failed^{-1} -4}

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