K14n12352

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14n12352

Polynomial invariants

Jones polynomial	Data:K14n12352/Jones Polynomial
Alexander polynomial	$-t^{4}+8t^{3}-30t^{2}+64t-81+64t^{-1}-30t^{-2}+8t^{-3}-t^{-4}$
Conway polynomial	Data:K14n12352/Conway Polynomial
Determinant	Data:K14n12352/Determinant
Signature	Data:K14n12352/Signature
HOMFLY-PT polynomial	$-z^{8}a^{-2}-4z^{6}a^{-2}+2z^{6}a^{-4}+2z^{6}-a^{2}z^{4}-9z^{4}a^{-2}+4z^{4}a^{-4}-z^{4}a^{-6}+5z^{4}-a^{2}z^{2}-8z^{2}a^{-2}+3z^{2}a^{-4}+z^{2}a^{-6}+5z^{2}-2a^{-2}+2a^{-6}-a^{-8}+2$
Kauffman polynomial	Failed to parse (syntax error): {\displaystyle z^{12} $Failed^{-1} +z^{12} $Failed^{-1} +5 z^{11} $Failed^{-1} +8 z^{11} $Failed^{-1} +3 z^{11} $Failed^{-1} +20 z^{10} $Failed^{-1} +14 z^{10} $Failed^{-1} +4 z^{10} $Failed^{-1} +10 z^{10}+10 \text{QuantumGroups$\grave{ }$a} z^9+14 z^9 $Failed^{-1} +12 z^9 $Failed^{-1} +11 z^9 $Failed^{-1} +3 z^9 $Failed^{-1} +5 \text{QuantumGroups$\grave{ }$a}^2 z^8-38 z^8 $Failed^{-1} -14 z^8 $Failed^{-1} +6 z^8 $Failed^{-1} +z^8 $Failed^{-1} -14 z^8+\text{QuantumGroups$\grave{ }$a}^3 z^7-26 \text{QuantumGroups$\grave{ }$a} z^7-67 z^7 $Failed^{-1} -63 z^7 $Failed^{-1} -18 z^7 $Failed^{-1} +5 z^7 $Failed^{-1} -13 \text{QuantumGroups$\grave{ }$a}^2 z^6-7 z^6 $Failed^{-1} -17 z^6 $Failed^{-1} -9 z^6 $Failed^{-1} +6 z^6 $Failed^{-1} -18 z^6-2 \text{QuantumGroups$\grave{ }$a}^3 z^5+19 \text{QuantumGroups$\grave{ }$a} z^5+69 z^5 $Failed^{-1} +63 z^5 $Failed^{-1} +4 z^5 $Failed^{-1} -8 z^5 $Failed^{-1} +3 z^5 $Failed^{-1} +10 \text{QuantumGroups$\grave{ }$a}^2 z^4+40 z^4 $Failed^{-1} +24 z^4 $Failed^{-1} -3 z^4 $Failed^{-1} -10 z^4 $Failed^{-1} +33 z^4+\text{QuantumGroups$\grave{ }$a}^3 z^3-5 \text{QuantumGroups$\grave{ }$a} z^3-27 z^3 $Failed^{-1} -24 z^3 $Failed^{-1} +3 z^3 $Failed^{-1} +2 z^3 $Failed^{-1} -4 z^3 $Failed^{-1} -3 \text{QuantumGroups$\grave{ }$a}^2 z^2-20 z^2 $Failed^{-1} -7 z^2 $Failed^{-1} +7 z^2 $Failed^{-1} +5 z^2 $Failed^{-1} -14 z^2+\text{QuantumGroups$\grave{ }$a} z+4 z $Failed^{-1} +3 z $Failed^{-1} -z $Failed^{-1} +z $Failed^{-1} +2 $Failed^{-1} -2 $Failed^{-1} - $Failed^{-1} +2}

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