K14a6734

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14a6734

Polynomial invariants

Jones polynomial	Data:K14a6734/Jones Polynomial
Alexander polynomial	$-2t^{4}+16t^{3}-58t^{2}+121t-153+121t^{-1}-58t^{-2}+16t^{-3}-2t^{-4}$
Conway polynomial	Data:K14a6734/Conway Polynomial
Determinant	Data:K14a6734/Determinant
Signature	Data:K14a6734/Signature
HOMFLY-PT polynomial	$-z^{8}a^{-2}-z^{8}a^{-4}-2z^{6}a^{-2}-2z^{6}a^{-4}+2z^{6}a^{-6}+2z^{6}-a^{2}z^{4}-3z^{4}a^{-2}-4z^{4}a^{-4}+3z^{4}a^{-6}-z^{4}a^{-8}+4z^{4}-a^{2}z^{2}-3z^{2}a^{-4}+2z^{2}a^{-6}+3z^{2}+2a^{-2}-a^{-4}$
Kauffman polynomial	Failed to parse (syntax error): {\displaystyle z^{13} $Failed^{-1} +z^{13} $Failed^{-1} +5 z^{12} $Failed^{-1} +11 z^{12} $Failed^{-1} +6 z^{12} $Failed^{-1} +11 z^{11} $Failed^{-1} +30 z^{11} $Failed^{-1} +34 z^{11} $Failed^{-1} +15 z^{11} $Failed^{-1} +32 z^{10} $Failed^{-1} +37 z^{10} $Failed^{-1} +39 z^{10} $Failed^{-1} +20 z^{10} $Failed^{-1} +14 z^{10}+11 \text{QuantumGroups$\grave{ }$a} z^9+5 z^9 $Failed^{-1} -37 z^9 $Failed^{-1} -46 z^9 $Failed^{-1} +15 z^9 $Failed^{-1} +5 \text{QuantumGroups$\grave{ }$a}^2 z^8-95 z^8 $Failed^{-1} -147 z^8 $Failed^{-1} -125 z^8 $Failed^{-1} -39 z^8 $Failed^{-1} +6 z^8 $Failed^{-1} -23 z^8+\text{QuantumGroups$\grave{ }$a}^3 z^7-26 \text{QuantumGroups$\grave{ }$a} z^7-59 z^7 $Failed^{-1} -45 z^7 $Failed^{-1} -48 z^7 $Failed^{-1} -70 z^7 $Failed^{-1} -34 z^7 $Failed^{-1} +z^7 $Failed^{-1} -12 \text{QuantumGroups$\grave{ }$a}^2 z^6+88 z^6 $Failed^{-1} +162 z^6 $Failed^{-1} +115 z^6 $Failed^{-1} +15 z^6 $Failed^{-1} -11 z^6 $Failed^{-1} +3 z^6-2 \text{QuantumGroups$\grave{ }$a}^3 z^5+21 \text{QuantumGroups$\grave{ }$a} z^5+70 z^5 $Failed^{-1} +98 z^5 $Failed^{-1} +110 z^5 $Failed^{-1} +82 z^5 $Failed^{-1} +22 z^5 $Failed^{-1} -z^5 $Failed^{-1} +9 \text{QuantumGroups$\grave{ }$a}^2 z^4-37 z^4 $Failed^{-1} -77 z^4 $Failed^{-1} -40 z^4 $Failed^{-1} +4 z^4 $Failed^{-1} +4 z^4 $Failed^{-1} +9 z^4+\text{QuantumGroups$\grave{ }$a}^3 z^3-7 \text{QuantumGroups$\grave{ }$a} z^3-32 z^3 $Failed^{-1} -56 z^3 $Failed^{-1} -58 z^3 $Failed^{-1} -30 z^3 $Failed^{-1} -4 z^3 $Failed^{-1} -2 \text{QuantumGroups$\grave{ }$a}^2 z^2+9 z^2 $Failed^{-1} +17 z^2 $Failed^{-1} +6 z^2 $Failed^{-1} -z^2 $Failed^{-1} -3 z^2+\text{QuantumGroups$\grave{ }$a} z+5 z $Failed^{-1} +10 z $Failed^{-1} +8 z $Failed^{-1} +2 z $Failed^{-1} -2 $Failed^{-1} - $Failed^{-1} }

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