K14n12489

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14n12489

Polynomial invariants

Jones polynomial	Data:K14n12489/Jones Polynomial
Alexander polynomial	$t^{4}-7t^{3}+26t^{2}-54t+69-54t^{-1}+26t^{-2}-7t^{-3}+t^{-4}$
Conway polynomial	Data:K14n12489/Conway Polynomial
Determinant	Data:K14n12489/Determinant
Signature	Data:K14n12489/Signature
HOMFLY-PT polynomial	$a^{2}z^{8}-a^{4}z^{6}+5a^{2}z^{6}-3z^{6}-3a^{4}z^{4}+13a^{2}z^{4}+3z^{4}a^{-2}-9z^{4}-5a^{4}z^{2}+15a^{2}z^{2}+5z^{2}a^{-2}-z^{2}a^{-4}-11z^{2}-3a^{4}+7a^{2}+3a^{-2}-a^{-4}-5$
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}+16 \text{QuantumGroups$\grave{ }$a} z^{11}+7 z^{11} $Failed^{-1} +12 \text{QuantumGroups$\grave{ }$a}^4 z^{10}+10 \text{QuantumGroups$\grave{ }$a}^2 z^{10}+6 z^{10} $Failed^{-1} +4 z^{10}+9 \text{QuantumGroups$\grave{ }$a}^5 z^9-21 \text{QuantumGroups$\grave{ }$a}^3 z^9-57 \text{QuantumGroups$\grave{ }$a} z^9-25 z^9 $Failed^{-1} +2 z^9 $Failed^{-1} +4 \text{QuantumGroups$\grave{ }$a}^6 z^8-39 \text{QuantumGroups$\grave{ }$a}^4 z^8-63 \text{QuantumGroups$\grave{ }$a}^2 z^8-24 z^8 $Failed^{-1} -44 z^8+\text{QuantumGroups$\grave{ }$a}^7 z^7-28 \text{QuantumGroups$\grave{ }$a}^5 z^7+6 \text{QuantumGroups$\grave{ }$a}^3 z^7+80 \text{QuantumGroups$\grave{ }$a} z^7+41 z^7 $Failed^{-1} -4 z^7 $Failed^{-1} -11 \text{QuantumGroups$\grave{ }$a}^6 z^6+46 \text{QuantumGroups$\grave{ }$a}^4 z^6+104 \text{QuantumGroups$\grave{ }$a}^2 z^6+53 z^6 $Failed^{-1} +4 z^6 $Failed^{-1} +96 z^6-3 \text{QuantumGroups$\grave{ }$a}^7 z^5+27 \text{QuantumGroups$\grave{ }$a}^5 z^5+12 \text{QuantumGroups$\grave{ }$a}^3 z^5-45 \text{QuantumGroups$\grave{ }$a} z^5-17 z^5 $Failed^{-1} +11 z^5 $Failed^{-1} +z^5 $Failed^{-1} +6 \text{QuantumGroups$\grave{ }$a}^6 z^4-37 \text{QuantumGroups$\grave{ }$a}^4 z^4-81 \text{QuantumGroups$\grave{ }$a}^2 z^4-47 z^4 $Failed^{-1} -9 z^4 $Failed^{-1} -76 z^4+2 \text{QuantumGroups$\grave{ }$a}^7 z^3-16 \text{QuantumGroups$\grave{ }$a}^5 z^3-16 \text{QuantumGroups$\grave{ }$a}^3 z^3+11 \text{QuantumGroups$\grave{ }$a} z^3-z^3 $Failed^{-1} -13 z^3 $Failed^{-1} -3 z^3 $Failed^{-1} +15 \text{QuantumGroups$\grave{ }$a}^4 z^2+34 \text{QuantumGroups$\grave{ }$a}^2 z^2+16 z^2 $Failed^{-1} +5 z^2 $Failed^{-1} +30 z^2+4 \text{QuantumGroups$\grave{ }$a}^5 z+5 \text{QuantumGroups$\grave{ }$a}^3 z+3 z $Failed^{-1} +2 z $Failed^{-1} -3 \text{QuantumGroups$\grave{ }$a}^4-7 \text{QuantumGroups$\grave{ }$a}^2-3 $Failed^{-1} - $Failed^{-1} -5}

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