K14n12008

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14n12008

Polynomial invariants

Jones polynomial	Data:K14n12008/Jones Polynomial
Alexander polynomial	$-t^{4}+5t^{3}-9t^{2}+8t-5+8t^{-1}-9t^{-2}+5t^{-3}-t^{-4}$
Conway polynomial	Data:K14n12008/Conway Polynomial
Determinant	Data:K14n12008/Determinant
Signature	Data:K14n12008/Signature
HOMFLY-PT polynomial	$-z^{8}+2a^{2}z^{6}+z^{6}a^{-2}-6z^{6}-a^{4}z^{4}+9a^{2}z^{4}+5z^{4}a^{-2}-12z^{4}-3a^{4}z^{2}+10a^{2}z^{2}+6z^{2}a^{-2}-z^{2}a^{-4}-11z^{2}-a^{4}+3a^{2}+3a^{-2}-a^{-4}-3$
Kauffman polynomial	Failed to parse (syntax error): {\displaystyle \text{QuantumGroups$\grave{ }$a}^2 z^{12}+z^{12}+3 \text{QuantumGroups$\grave{ }$a}^3 z^{11}+5 \text{QuantumGroups$\grave{ }$a} z^{11}+2 z^{11} $Failed^{-1} +3 \text{QuantumGroups$\grave{ }$a}^4 z^{10}+z^{10} $Failed^{-1} -2 z^{10}+\text{QuantumGroups$\grave{ }$a}^5 z^9-17 \text{QuantumGroups$\grave{ }$a}^3 z^9-31 \text{QuantumGroups$\grave{ }$a} z^9-13 z^9 $Failed^{-1} -19 \text{QuantumGroups$\grave{ }$a}^4 z^8-28 \text{QuantumGroups$\grave{ }$a}^2 z^8-7 z^8 $Failed^{-1} -16 z^8-6 \text{QuantumGroups$\grave{ }$a}^5 z^7+26 \text{QuantumGroups$\grave{ }$a}^3 z^7+60 \text{QuantumGroups$\grave{ }$a} z^7+28 z^7 $Failed^{-1} +38 \text{QuantumGroups$\grave{ }$a}^4 z^6+73 \text{QuantumGroups$\grave{ }$a}^2 z^6+17 z^6 $Failed^{-1} +52 z^6+11 \text{QuantumGroups$\grave{ }$a}^5 z^5-9 \text{QuantumGroups$\grave{ }$a}^3 z^5-48 \text{QuantumGroups$\grave{ }$a} z^5-29 z^5 $Failed^{-1} -z^5 $Failed^{-1} -29 \text{QuantumGroups$\grave{ }$a}^4 z^4-65 \text{QuantumGroups$\grave{ }$a}^2 z^4-23 z^4 $Failed^{-1} -z^4 $Failed^{-1} -58 z^4-7 \text{QuantumGroups$\grave{ }$a}^5 z^3-\text{QuantumGroups$\grave{ }$a}^3 z^3+16 \text{QuantumGroups$\grave{ }$a} z^3+10 z^3 $Failed^{-1} +9 \text{QuantumGroups$\grave{ }$a}^4 z^2+24 \text{QuantumGroups$\grave{ }$a}^2 z^2+12 z^2 $Failed^{-1} +3 z^2 $Failed^{-1} +24 z^2+\text{QuantumGroups$\grave{ }$a}^5 z+\text{QuantumGroups$\grave{ }$a}^3 z-\text{QuantumGroups$\grave{ }$a} z-z $Failed^{-1} +z $Failed^{-1} +z $Failed^{-1} -\text{QuantumGroups$\grave{ }$a}^4-3 \text{QuantumGroups$\grave{ }$a}^2-3 $Failed^{-1} - $Failed^{-1} -3}

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