K14a602

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14a602

Polynomial invariants

Jones polynomial	Data:K14a602/Jones Polynomial
Alexander polynomial	$-3t^{4}+19t^{3}-57t^{2}+106t-129+106t^{-1}-57t^{-2}+19t^{-3}-3t^{-4}$
Conway polynomial	Data:K14a602/Conway Polynomial
Determinant	Data:K14a602/Determinant
Signature	Data:K14a602/Signature
HOMFLY-PT polynomial	$-z^{8}a^{-2}-2z^{8}a^{-4}-z^{6}a^{-2}-9z^{6}a^{-4}+3z^{6}a^{-6}+2z^{6}-a^{2}z^{4}+3z^{4}a^{-2}-19z^{4}a^{-4}+10z^{4}a^{-6}-z^{4}a^{-8}+5z^{4}-2a^{2}z^{2}+6z^{2}a^{-2}-18z^{2}a^{-4}+12z^{2}a^{-6}-2z^{2}a^{-8}+5z^{2}-a^{2}+3a^{-2}-6a^{-4}+4a^{-6}-a^{-8}+2$
Kauffman polynomial	Failed to parse (syntax error): {\displaystyle z^{13} $Failed^{-1} +z^{13} $Failed^{-1} +5 z^{12} $Failed^{-1} +10 z^{12} $Failed^{-1} +5 z^{12} $Failed^{-1} +10 z^{11} $Failed^{-1} +26 z^{11} $Failed^{-1} +27 z^{11} $Failed^{-1} +11 z^{11} $Failed^{-1} +22 z^{10} $Failed^{-1} +26 z^{10} $Failed^{-1} +29 z^{10} $Failed^{-1} +14 z^{10} $Failed^{-1} +11 z^{10}+8 \text{QuantumGroups$\grave{ }$a} z^9-3 z^9 $Failed^{-1} -41 z^9 $Failed^{-1} -37 z^9 $Failed^{-1} +4 z^9 $Failed^{-1} +11 z^9 $Failed^{-1} +4 \text{QuantumGroups$\grave{ }$a}^2 z^8-70 z^8 $Failed^{-1} -112 z^8 $Failed^{-1} -91 z^8 $Failed^{-1} -23 z^8 $Failed^{-1} +5 z^8 $Failed^{-1} -17 z^8+\text{QuantumGroups$\grave{ }$a}^3 z^7-17 \text{QuantumGroups$\grave{ }$a} z^7-27 z^7 $Failed^{-1} -5 z^7 $Failed^{-1} -30 z^7 $Failed^{-1} -61 z^7 $Failed^{-1} -26 z^7 $Failed^{-1} +z^7 $Failed^{-1} -11 \text{QuantumGroups$\grave{ }$a}^2 z^6+73 z^6 $Failed^{-1} +139 z^6 $Failed^{-1} +90 z^6 $Failed^{-1} +z^6 $Failed^{-1} -12 z^6 $Failed^{-1} -3 \text{QuantumGroups$\grave{ }$a}^3 z^5+10 \text{QuantumGroups$\grave{ }$a} z^5+33 z^5 $Failed^{-1} +45 z^5 $Failed^{-1} +80 z^5 $Failed^{-1} +78 z^5 $Failed^{-1} +21 z^5 $Failed^{-1} -2 z^5 $Failed^{-1} +11 \text{QuantumGroups$\grave{ }$a}^2 z^4-40 z^4 $Failed^{-1} -91 z^4 $Failed^{-1} -47 z^4 $Failed^{-1} +11 z^4 $Failed^{-1} +9 z^4 $Failed^{-1} +13 z^4+3 \text{QuantumGroups$\grave{ }$a}^3 z^3-16 z^3 $Failed^{-1} -35 z^3 $Failed^{-1} -54 z^3 $Failed^{-1} -41 z^3 $Failed^{-1} -8 z^3 $Failed^{-1} +z^3 $Failed^{-1} -5 \text{QuantumGroups$\grave{ }$a}^2 z^2+13 z^2 $Failed^{-1} +35 z^2 $Failed^{-1} +18 z^2 $Failed^{-1} -2 z^2 $Failed^{-1} -2 z^2 $Failed^{-1} -9 z^2-\text{QuantumGroups$\grave{ }$a}^3 z-\text{QuantumGroups$\grave{ }$a} z+3 z $Failed^{-1} +10 z $Failed^{-1} +13 z $Failed^{-1} +8 z $Failed^{-1} +2 z $Failed^{-1} +\text{QuantumGroups$\grave{ }$a}^2-3 $Failed^{-1} -6 $Failed^{-1} -4 $Failed^{-1} - $Failed^{-1} +2}

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