K14n12876

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14n12876

Polynomial invariants

Jones polynomial	Data:K14n12876/Jones Polynomial
Alexander polynomial	$t^{5}-5t^{4}+16t^{3}-38t^{2}+65t-77+65t^{-1}-38t^{-2}+16t^{-3}-5t^{-4}+t^{-5}$
Conway polynomial	Data:K14n12876/Conway Polynomial
Determinant	Data:K14n12876/Determinant
Signature	Data:K14n12876/Signature
HOMFLY-PT polynomial	$z^{10}a^{-2}+7z^{8}a^{-2}-z^{8}a^{-4}-z^{8}+20z^{6}a^{-2}-4z^{6}a^{-4}-5z^{6}+26z^{4}a^{-2}-7z^{4}a^{-4}-z^{4}a^{-6}-10z^{4}+14z^{2}a^{-2}-4z^{2}a^{-4}-z^{2}a^{-6}-7z^{2}+a^{-2}+a^{-4}-a^{-6}$
Kauffman polynomial	Failed to parse (syntax error): {\displaystyle 2 z^{12} $Failed^{-1} +2 z^{12} $Failed^{-1} +8 z^{11} $Failed^{-1} +14 z^{11} $Failed^{-1} +6 z^{11} $Failed^{-1} +24 z^{10} $Failed^{-1} +20 z^{10} $Failed^{-1} +7 z^{10} $Failed^{-1} +11 z^{10}+8 \text{QuantumGroups$\grave{ }$a} z^9-3 z^9 $Failed^{-1} -6 z^9 $Failed^{-1} +9 z^9 $Failed^{-1} +4 z^9 $Failed^{-1} +4 \text{QuantumGroups$\grave{ }$a}^2 z^8-70 z^8 $Failed^{-1} -38 z^8 $Failed^{-1} +5 z^8 $Failed^{-1} +z^8 $Failed^{-1} -24 z^8+\text{QuantumGroups$\grave{ }$a}^3 z^7-18 \text{QuantumGroups$\grave{ }$a} z^7-23 z^7 $Failed^{-1} -39 z^7 $Failed^{-1} -26 z^7 $Failed^{-1} +9 z^7 $Failed^{-1} -11 \text{QuantumGroups$\grave{ }$a}^2 z^6+75 z^6 $Failed^{-1} +14 z^6 $Failed^{-1} -22 z^6 $Failed^{-1} +8 z^6 $Failed^{-1} +20 z^6-3 \text{QuantumGroups$\grave{ }$a}^3 z^5+10 \text{QuantumGroups$\grave{ }$a} z^5+24 z^5 $Failed^{-1} +45 z^5 $Failed^{-1} +13 z^5 $Failed^{-1} -18 z^5 $Failed^{-1} +3 z^5 $Failed^{-1} +10 \text{QuantumGroups$\grave{ }$a}^2 z^4-49 z^4 $Failed^{-1} +6 z^4 $Failed^{-1} +21 z^4 $Failed^{-1} -9 z^4 $Failed^{-1} -15 z^4+3 \text{QuantumGroups$\grave{ }$a}^3 z^3+\text{QuantumGroups$\grave{ }$a} z^3-11 z^3 $Failed^{-1} -17 z^3 $Failed^{-1} +5 z^3 $Failed^{-1} +10 z^3 $Failed^{-1} -3 z^3 $Failed^{-1} -3 \text{QuantumGroups$\grave{ }$a}^2 z^2+14 z^2 $Failed^{-1} -4 z^2 $Failed^{-1} -8 z^2 $Failed^{-1} +z^2 $Failed^{-1} +6 z^2-\text{QuantumGroups$\grave{ }$a}^3 z-\text{QuantumGroups$\grave{ }$a} z+2 z $Failed^{-1} +2 z $Failed^{-1} -3 z $Failed^{-1} -3 z $Failed^{-1} - $Failed^{-1} + $Failed^{-1} + $Failed^{-1} }

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