K14a6354

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14a6354

Polynomial invariants

Jones polynomial	Data:K14a6354/Jones Polynomial
Alexander polynomial	$t^{4}-11t^{3}+50t^{2}-123t+167-123t^{-1}+50t^{-2}-11t^{-3}+t^{-4}$
Conway polynomial	Data:K14a6354/Conway Polynomial
Determinant	Data:K14a6354/Determinant
Signature	Data:K14a6354/Signature
HOMFLY-PT polynomial	$a^{8}-4z^{2}a^{6}-2a^{6}+6z^{4}a^{4}+7z^{2}a^{4}+3a^{4}-4z^{6}a^{2}-8z^{4}a^{2}-10z^{2}a^{2}-3a^{2}+z^{8}+3z^{6}+9z^{4}+7z^{2}+3-2z^{6}a^{-2}-4z^{4}a^{-2}-7z^{2}a^{-2}-3a^{-2}+z^{4}a^{-4}+z^{2}a^{-4}+2a^{-4}$
Kauffman polynomial	Failed to parse (syntax error): {\displaystyle 2 \text{QuantumGroups$\grave{ }$a}^3 z^{13}+2 \text{QuantumGroups$\grave{ }$a} z^{13}+6 \text{QuantumGroups$\grave{ }$a}^4 z^{12}+15 \text{QuantumGroups$\grave{ }$a}^2 z^{12}+9 z^{12}+9 \text{QuantumGroups$\grave{ }$a}^5 z^{11}+21 \text{QuantumGroups$\grave{ }$a}^3 z^{11}+32 \text{QuantumGroups$\grave{ }$a} z^{11}+20 z^{11} $Failed^{-1} +8 \text{QuantumGroups$\grave{ }$a}^6 z^{10}+9 \text{QuantumGroups$\grave{ }$a}^4 z^{10}+2 \text{QuantumGroups$\grave{ }$a}^2 z^{10}+27 z^{10} $Failed^{-1} +28 z^{10}+4 \text{QuantumGroups$\grave{ }$a}^7 z^9-13 \text{QuantumGroups$\grave{ }$a}^5 z^9-39 \text{QuantumGroups$\grave{ }$a}^3 z^9-55 \text{QuantumGroups$\grave{ }$a} z^9-9 z^9 $Failed^{-1} +24 z^9 $Failed^{-1} +\text{QuantumGroups$\grave{ }$a}^8 z^8-23 \text{QuantumGroups$\grave{ }$a}^6 z^8-52 \text{QuantumGroups$\grave{ }$a}^4 z^8-60 \text{QuantumGroups$\grave{ }$a}^2 z^8-43 z^8 $Failed^{-1} +14 z^8 $Failed^{-1} -89 z^8-14 \text{QuantumGroups$\grave{ }$a}^7 z^7-18 \text{QuantumGroups$\grave{ }$a}^5 z^7-21 \text{QuantumGroups$\grave{ }$a}^3 z^7-8 \text{QuantumGroups$\grave{ }$a} z^7-40 z^7 $Failed^{-1} -44 z^7 $Failed^{-1} +5 z^7 $Failed^{-1} -4 \text{QuantumGroups$\grave{ }$a}^8 z^6+19 \text{QuantumGroups$\grave{ }$a}^6 z^6+38 \text{QuantumGroups$\grave{ }$a}^4 z^6+34 \text{QuantumGroups$\grave{ }$a}^2 z^6+20 z^6 $Failed^{-1} -22 z^6 $Failed^{-1} +z^6 $Failed^{-1} +62 z^6+18 \text{QuantumGroups$\grave{ }$a}^7 z^5+39 \text{QuantumGroups$\grave{ }$a}^5 z^5+54 \text{QuantumGroups$\grave{ }$a}^3 z^5+38 \text{QuantumGroups$\grave{ }$a} z^5+44 z^5 $Failed^{-1} +34 z^5 $Failed^{-1} -5 z^5 $Failed^{-1} +6 \text{QuantumGroups$\grave{ }$a}^8 z^4+\text{QuantumGroups$\grave{ }$a}^6 z^4+9 \text{QuantumGroups$\grave{ }$a}^4 z^4+18 \text{QuantumGroups$\grave{ }$a}^2 z^4+8 z^4 $Failed^{-1} +14 z^4 $Failed^{-1} -z^4 $Failed^{-1} -3 z^4-10 \text{QuantumGroups$\grave{ }$a}^7 z^3-19 \text{QuantumGroups$\grave{ }$a}^5 z^3-21 \text{QuantumGroups$\grave{ }$a}^3 z^3-11 \text{QuantumGroups$\grave{ }$a} z^3-10 z^3 $Failed^{-1} -11 z^3 $Failed^{-1} -4 \text{QuantumGroups$\grave{ }$a}^8 z^2-7 \text{QuantumGroups$\grave{ }$a}^6 z^2-14 \text{QuantumGroups$\grave{ }$a}^4 z^2-17 \text{QuantumGroups$\grave{ }$a}^2 z^2-11 z^2 $Failed^{-1} -7 z^2 $Failed^{-1} -10 z^2+2 \text{QuantumGroups$\grave{ }$a}^7 z+2 \text{QuantumGroups$\grave{ }$a}^5 z+\text{QuantumGroups$\grave{ }$a}^3 z-\text{QuantumGroups$\grave{ }$a} z-z $Failed^{-1} +z $Failed^{-1} +\text{QuantumGroups$\grave{ }$a}^8+2 \text{QuantumGroups$\grave{ }$a}^6+3 \text{QuantumGroups$\grave{ }$a}^4+3 \text{QuantumGroups$\grave{ }$a}^2+3 $Failed^{-1} +2 $Failed^{-1} +3}

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