K14n5668

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14n5668

Polynomial invariants

Jones polynomial	Data:K14n5668/Jones Polynomial
Alexander polynomial	$-t^{5}+6t^{4}-17t^{3}+31t^{2}-41t+45-41t^{-1}+31t^{-2}-17t^{-3}+6t^{-4}-t^{-5}$
Conway polynomial	Data:K14n5668/Conway Polynomial
Determinant	Data:K14n5668/Determinant
Signature	Data:K14n5668/Signature
HOMFLY-PT polynomial	$-z^{10}a^{-4}+2z^{8}a^{-2}-7z^{8}a^{-4}+z^{8}a^{-6}+12z^{6}a^{-2}-21z^{6}a^{-4}+6z^{6}a^{-6}-z^{6}+28z^{4}a^{-2}-37z^{4}a^{-4}+14z^{4}a^{-6}-z^{4}a^{-8}-5z^{4}+32z^{2}a^{-2}-37z^{2}a^{-4}+16z^{2}a^{-6}-2z^{2}a^{-8}-8z^{2}+15a^{-2}-16a^{-4}+7a^{-6}-a^{-8}-4$
Kauffman polynomial	Failed to parse (syntax error): {\displaystyle 2 z^{12} $Failed^{-1} +2 z^{12} $Failed^{-1} +4 z^{11} $Failed^{-1} +14 z^{11} $Failed^{-1} +10 z^{11} $Failed^{-1} +7 z^{10} $Failed^{-1} +26 z^{10} $Failed^{-1} +22 z^{10} $Failed^{-1} +3 z^{10}+\text{QuantumGroups$\grave{ }$a} z^9-14 z^9 $Failed^{-1} -41 z^9 $Failed^{-1} -z^9 $Failed^{-1} +25 z^9 $Failed^{-1} -63 z^8 $Failed^{-1} -128 z^8 $Failed^{-1} -67 z^8 $Failed^{-1} +14 z^8 $Failed^{-1} -16 z^8-6 \text{QuantumGroups$\grave{ }$a} z^7+4 z^7 $Failed^{-1} -7 z^7 $Failed^{-1} -107 z^7 $Failed^{-1} -87 z^7 $Failed^{-1} +3 z^7 $Failed^{-1} +121 z^6 $Failed^{-1} +174 z^6 $Failed^{-1} +50 z^6 $Failed^{-1} -35 z^6 $Failed^{-1} +32 z^6+13 \text{QuantumGroups$\grave{ }$a} z^5+33 z^5 $Failed^{-1} +98 z^5 $Failed^{-1} +185 z^5 $Failed^{-1} +112 z^5 $Failed^{-1} +5 z^5 $Failed^{-1} -104 z^4 $Failed^{-1} -112 z^4 $Failed^{-1} -9 z^4 $Failed^{-1} +36 z^4 $Failed^{-1} +6 z^4 $Failed^{-1} -31 z^4-12 \text{QuantumGroups$\grave{ }$a} z^3-42 z^3 $Failed^{-1} -94 z^3 $Failed^{-1} -125 z^3 $Failed^{-1} -69 z^3 $Failed^{-1} -7 z^3 $Failed^{-1} +z^3 $Failed^{-1} +52 z^2 $Failed^{-1} +52 z^2 $Failed^{-1} +7 z^2 $Failed^{-1} -12 z^2 $Failed^{-1} -3 z^2 $Failed^{-1} +16 z^2+4 \text{QuantumGroups$\grave{ }$a} z+15 z $Failed^{-1} +31 z $Failed^{-1} +35 z $Failed^{-1} +18 z $Failed^{-1} +3 z $Failed^{-1} -15 $Failed^{-1} -16 $Failed^{-1} -7 $Failed^{-1} - $Failed^{-1} -4}

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