K14n6150

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14n6150

Polynomial invariants

Jones polynomial	Data:K14n6150/Jones Polynomial
Alexander polynomial	$t^{3}+t^{2}-9t+15-9t^{-1}+t^{-2}+t^{-3}$
Conway polynomial	Data:K14n6150/Conway Polynomial
Determinant	Data:K14n6150/Determinant
Signature	Data:K14n6150/Signature
HOMFLY-PT polynomial	$a^{2}z^{8}-z^{8}-a^{4}z^{6}+7a^{2}z^{6}+2z^{6}a^{-2}-7z^{6}-4a^{4}z^{4}+19a^{2}z^{4}+9z^{4}a^{-2}-z^{4}a^{-4}-16z^{4}-7a^{4}z^{2}+21a^{2}z^{2}+10z^{2}a^{-2}-3z^{2}a^{-4}-17z^{2}-4a^{4}+9a^{2}+3a^{-2}-a^{-4}-6$
Kauffman polynomial	Failed to parse (syntax error): {\displaystyle z^{12} $Failed^{-1} +z^{12}+\text{QuantumGroups$\grave{ }$a}^3 z^{11}+2 \text{QuantumGroups$\grave{ }$a} z^{11}+4 z^{11} $Failed^{-1} +3 z^{11} $Failed^{-1} +3 \text{QuantumGroups$\grave{ }$a}^4 z^{10}+3 \text{QuantumGroups$\grave{ }$a}^2 z^{10}-2 z^{10} $Failed^{-1} +3 z^{10} $Failed^{-1} -5 z^{10}+4 \text{QuantumGroups$\grave{ }$a}^5 z^9-\text{QuantumGroups$\grave{ }$a}^3 z^9-16 \text{QuantumGroups$\grave{ }$a} z^9-30 z^9 $Failed^{-1} -18 z^9 $Failed^{-1} +z^9 $Failed^{-1} +3 \text{QuantumGroups$\grave{ }$a}^6 z^8-9 \text{QuantumGroups$\grave{ }$a}^4 z^8-19 \text{QuantumGroups$\grave{ }$a}^2 z^8-20 z^8 $Failed^{-1} -19 z^8 $Failed^{-1} -8 z^8+\text{QuantumGroups$\grave{ }$a}^7 z^7-13 \text{QuantumGroups$\grave{ }$a}^5 z^7-7 \text{QuantumGroups$\grave{ }$a}^3 z^7+34 \text{QuantumGroups$\grave{ }$a} z^7+62 z^7 $Failed^{-1} +29 z^7 $Failed^{-1} -6 z^7 $Failed^{-1} -11 \text{QuantumGroups$\grave{ }$a}^6 z^6+5 \text{QuantumGroups$\grave{ }$a}^4 z^6+42 \text{QuantumGroups$\grave{ }$a}^2 z^6+57 z^6 $Failed^{-1} +37 z^6 $Failed^{-1} +46 z^6-4 \text{QuantumGroups$\grave{ }$a}^7 z^5+7 \text{QuantumGroups$\grave{ }$a}^5 z^5+9 \text{QuantumGroups$\grave{ }$a}^3 z^5-26 \text{QuantumGroups$\grave{ }$a} z^5-49 z^5 $Failed^{-1} -14 z^5 $Failed^{-1} +11 z^5 $Failed^{-1} +10 \text{QuantumGroups$\grave{ }$a}^6 z^4-10 \text{QuantumGroups$\grave{ }$a}^4 z^4-52 \text{QuantumGroups$\grave{ }$a}^2 z^4-48 z^4 $Failed^{-1} -27 z^4 $Failed^{-1} -53 z^4+5 \text{QuantumGroups$\grave{ }$a}^7 z^3-12 \text{QuantumGroups$\grave{ }$a}^3 z^3+3 \text{QuantumGroups$\grave{ }$a} z^3+19 z^3 $Failed^{-1} +2 z^3 $Failed^{-1} -7 z^3 $Failed^{-1} -2 \text{QuantumGroups$\grave{ }$a}^6 z^2+12 \text{QuantumGroups$\grave{ }$a}^4 z^2+31 \text{QuantumGroups$\grave{ }$a}^2 z^2+18 z^2 $Failed^{-1} +7 z^2 $Failed^{-1} +28 z^2-2 \text{QuantumGroups$\grave{ }$a}^7 z+\text{QuantumGroups$\grave{ }$a}^5 z+6 \text{QuantumGroups$\grave{ }$a}^3 z+3 \text{QuantumGroups$\grave{ }$a} z-z $Failed^{-1} +z $Failed^{-1} -4 \text{QuantumGroups$\grave{ }$a}^4-9 \text{QuantumGroups$\grave{ }$a}^2-3 $Failed^{-1} - $Failed^{-1} -6}

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