K14n13197

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14n13197

Polynomial invariants

Jones polynomial	Data:K14n13197/Jones Polynomial
Alexander polynomial	$-t^{4}+9t^{3}-30t^{2}+59t-73+59t^{-1}-30t^{-2}+9t^{-3}-t^{-4}$
Conway polynomial	Data:K14n13197/Conway Polynomial
Determinant	Data:K14n13197/Determinant
Signature	Data:K14n13197/Signature
HOMFLY-PT polynomial	$-z^{8}a^{-2}-4z^{6}a^{-2}+4z^{6}a^{-4}+z^{6}-8z^{4}a^{-2}+14z^{4}a^{-4}-4z^{4}a^{-6}+2z^{4}-7z^{2}a^{-2}+18z^{2}a^{-4}-9z^{2}a^{-6}+z^{2}a^{-8}+z^{2}-2a^{-2}+8a^{-4}-6a^{-6}+a^{-8}$
Kauffman polynomial	Failed to parse (syntax error): {\displaystyle z^{12} $Failed^{-1} +z^{12} $Failed^{-1} +5 z^{11} $Failed^{-1} +7 z^{11} $Failed^{-1} +2 z^{11} $Failed^{-1} +11 z^{10} $Failed^{-1} +16 z^{10} $Failed^{-1} +6 z^{10} $Failed^{-1} +z^{10} $Failed^{-1} +14 z^9 $Failed^{-1} +14 z^9 $Failed^{-1} -4 z^8 $Failed^{-1} -20 z^8 $Failed^{-1} -z^8 $Failed^{-1} +4 z^8 $Failed^{-1} +11 z^8+5 \text{QuantumGroups$\grave{ }$a} z^7-21 z^7 $Failed^{-1} -37 z^7 $Failed^{-1} -4 z^7 $Failed^{-1} +12 z^7 $Failed^{-1} +5 z^7 $Failed^{-1} +\text{QuantumGroups$\grave{ }$a}^2 z^6-26 z^6 $Failed^{-1} -13 z^6 $Failed^{-1} -14 z^6 $Failed^{-1} -5 z^6 $Failed^{-1} +z^6 $Failed^{-1} -20 z^6-8 \text{QuantumGroups$\grave{ }$a} z^5+3 z^5 $Failed^{-1} +12 z^5 $Failed^{-1} -21 z^5 $Failed^{-1} -32 z^5 $Failed^{-1} -10 z^5 $Failed^{-1} -\text{QuantumGroups$\grave{ }$a}^2 z^4+28 z^4 $Failed^{-1} +32 z^4 $Failed^{-1} +16 z^4 $Failed^{-1} -2 z^4 $Failed^{-1} -2 z^4 $Failed^{-1} +11 z^4+3 \text{QuantumGroups$\grave{ }$a} z^3+6 z^3 $Failed^{-1} +14 z^3 $Failed^{-1} +31 z^3 $Failed^{-1} +26 z^3 $Failed^{-1} +6 z^3 $Failed^{-1} -11 z^2 $Failed^{-1} -23 z^2 $Failed^{-1} -14 z^2 $Failed^{-1} +z^2 $Failed^{-1} +z^2 $Failed^{-1} -2 z^2-2 z $Failed^{-1} -7 z $Failed^{-1} -13 z $Failed^{-1} -9 z $Failed^{-1} -z $Failed^{-1} +2 $Failed^{-1} +8 $Failed^{-1} +6 $Failed^{-1} + $Failed^{-1} }

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