K14n18069

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14n18069

Polynomial invariants

Jones polynomial	Data:K14n18069/Jones Polynomial
Alexander polynomial	$3t^{4}-13t^{3}+30t^{2}-47t+55-47t^{-1}+30t^{-2}-13t^{-3}+3t^{-4}$
Conway polynomial	Data:K14n18069/Conway Polynomial
Determinant	Data:K14n18069/Determinant
Signature	Data:K14n18069/Signature
HOMFLY-PT polynomial	$a^{2}z^{8}+2z^{8}-a^{4}z^{6}+4a^{2}z^{6}-2z^{6}a^{-2}+10z^{6}-4a^{4}z^{4}+6a^{2}z^{4}-7z^{4}a^{-2}+17z^{4}-5a^{4}z^{2}+5a^{2}z^{2}-7z^{2}a^{-2}+11z^{2}-2a^{4}+2a^{2}-2a^{-2}+3$
Kauffman polynomial	Failed to parse (syntax error): {\displaystyle 2 \text{QuantumGroups$\grave{ }$a}^2 z^{12}+2 z^{12}+5 \text{QuantumGroups$\grave{ }$a}^3 z^{11}+11 \text{QuantumGroups$\grave{ }$a} z^{11}+6 z^{11} $Failed^{-1} +6 \text{QuantumGroups$\grave{ }$a}^4 z^{10}+6 \text{QuantumGroups$\grave{ }$a}^2 z^{10}+7 z^{10} $Failed^{-1} +7 z^{10}+5 \text{QuantumGroups$\grave{ }$a}^5 z^9-9 \text{QuantumGroups$\grave{ }$a}^3 z^9-31 \text{QuantumGroups$\grave{ }$a} z^9-13 z^9 $Failed^{-1} +4 z^9 $Failed^{-1} +3 \text{QuantumGroups$\grave{ }$a}^6 z^8-14 \text{QuantumGroups$\grave{ }$a}^4 z^8-26 \text{QuantumGroups$\grave{ }$a}^2 z^8-15 z^8 $Failed^{-1} +z^8 $Failed^{-1} -25 z^8+\text{QuantumGroups$\grave{ }$a}^7 z^7-13 \text{QuantumGroups$\grave{ }$a}^5 z^7+9 \text{QuantumGroups$\grave{ }$a}^3 z^7+48 \text{QuantumGroups$\grave{ }$a} z^7+24 z^7 $Failed^{-1} -z^7 $Failed^{-1} -10 \text{QuantumGroups$\grave{ }$a}^6 z^6+12 \text{QuantumGroups$\grave{ }$a}^4 z^6+42 \text{QuantumGroups$\grave{ }$a}^2 z^6+20 z^6 $Failed^{-1} +6 z^6 $Failed^{-1} +34 z^6-4 \text{QuantumGroups$\grave{ }$a}^7 z^5+7 \text{QuantumGroups$\grave{ }$a}^5 z^5-13 \text{QuantumGroups$\grave{ }$a}^3 z^5-40 \text{QuantumGroups$\grave{ }$a} z^5-25 z^5 $Failed^{-1} -6 z^5 $Failed^{-1} +3 z^5 $Failed^{-1} +10 \text{QuantumGroups$\grave{ }$a}^6 z^4-13 \text{QuantumGroups$\grave{ }$a}^4 z^4-40 \text{QuantumGroups$\grave{ }$a}^2 z^4-9 z^4 $Failed^{-1} -13 z^4 $Failed^{-1} -13 z^4+5 \text{QuantumGroups$\grave{ }$a}^7 z^3+2 \text{QuantumGroups$\grave{ }$a}^5 z^3+3 \text{QuantumGroups$\grave{ }$a}^3 z^3+14 \text{QuantumGroups$\grave{ }$a} z^3+17 z^3 $Failed^{-1} +4 z^3 $Failed^{-1} -5 z^3 $Failed^{-1} -3 \text{QuantumGroups$\grave{ }$a}^6 z^2+9 \text{QuantumGroups$\grave{ }$a}^4 z^2+15 \text{QuantumGroups$\grave{ }$a}^2 z^2-2 z^2 $Failed^{-1} +4 z^2 $Failed^{-1} -3 z^2-2 \text{QuantumGroups$\grave{ }$a}^7 z-\text{QuantumGroups$\grave{ }$a}^5 z+\text{QuantumGroups$\grave{ }$a}^3 z-2 \text{QuantumGroups$\grave{ }$a} z-4 z $Failed^{-1} -z $Failed^{-1} +z $Failed^{-1} -2 \text{QuantumGroups$\grave{ }$a}^4-2 \text{QuantumGroups$\grave{ }$a}^2+2 $Failed^{-1} +3}

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