K14a5971

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14a5971

Polynomial invariants

Jones polynomial	Data:K14a5971/Jones Polynomial
Alexander polynomial	$2t^{4}-18t^{3}+67t^{2}-137t+173-137t^{-1}+67t^{-2}-18t^{-3}+2t^{-4}$
Conway polynomial	Data:K14a5971/Conway Polynomial
Determinant	Data:K14a5971/Determinant
Signature	Data:K14a5971/Signature
HOMFLY-PT polynomial	$z^{8}a^{-2}+z^{8}-3a^{2}z^{6}+2z^{6}a^{-2}-z^{6}a^{-4}+3a^{4}z^{4}-4a^{2}z^{4}+3z^{4}a^{-2}-z^{4}a^{-4}-2z^{4}-a^{6}z^{2}+4a^{4}z^{2}-a^{2}z^{2}-z^{2}-a^{6}+a^{4}+a^{2}-2a^{-2}+a^{-4}+1$
Kauffman polynomial	Failed to parse (syntax error): {\displaystyle 2 \text{QuantumGroups$\grave{ }$a} z^{13}+2 z^{13} $Failed^{-1} +8 \text{QuantumGroups$\grave{ }$a}^2 z^{12}+10 z^{12} $Failed^{-1} +18 z^{12}+13 \text{QuantumGroups$\grave{ }$a}^3 z^{11}+37 \text{QuantumGroups$\grave{ }$a} z^{11}+45 z^{11} $Failed^{-1} +21 z^{11} $Failed^{-1} +13 \text{QuantumGroups$\grave{ }$a}^4 z^{10}+23 \text{QuantumGroups$\grave{ }$a}^2 z^{10}+39 z^{10} $Failed^{-1} +24 z^{10} $Failed^{-1} +25 z^{10}+9 \text{QuantumGroups$\grave{ }$a}^5 z^9-4 \text{QuantumGroups$\grave{ }$a}^3 z^9-63 \text{QuantumGroups$\grave{ }$a} z^9-76 z^9 $Failed^{-1} -10 z^9 $Failed^{-1} +16 z^9 $Failed^{-1} +4 \text{QuantumGroups$\grave{ }$a}^6 z^8-20 \text{QuantumGroups$\grave{ }$a}^4 z^8-75 \text{QuantumGroups$\grave{ }$a}^2 z^8-130 z^8 $Failed^{-1} -43 z^8 $Failed^{-1} +6 z^8 $Failed^{-1} -132 z^8+\text{QuantumGroups$\grave{ }$a}^7 z^7-20 \text{QuantumGroups$\grave{ }$a}^5 z^7-36 \text{QuantumGroups$\grave{ }$a}^3 z^7-2 \text{QuantumGroups$\grave{ }$a} z^7-11 z^7 $Failed^{-1} -57 z^7 $Failed^{-1} -32 z^7 $Failed^{-1} +z^7 $Failed^{-1} -10 \text{QuantumGroups$\grave{ }$a}^6 z^6+5 \text{QuantumGroups$\grave{ }$a}^4 z^6+64 \text{QuantumGroups$\grave{ }$a}^2 z^6+105 z^6 $Failed^{-1} +18 z^6 $Failed^{-1} -10 z^6 $Failed^{-1} +126 z^6-3 \text{QuantumGroups$\grave{ }$a}^7 z^5+18 \text{QuantumGroups$\grave{ }$a}^5 z^5+56 \text{QuantumGroups$\grave{ }$a}^3 z^5+61 \text{QuantumGroups$\grave{ }$a} z^5+68 z^5 $Failed^{-1} +65 z^5 $Failed^{-1} +22 z^5 $Failed^{-1} -z^5 $Failed^{-1} +9 \text{QuantumGroups$\grave{ }$a}^6 z^4+9 \text{QuantumGroups$\grave{ }$a}^4 z^4-10 \text{QuantumGroups$\grave{ }$a}^2 z^4-27 z^4 $Failed^{-1} +3 z^4 $Failed^{-1} +5 z^4 $Failed^{-1} -35 z^4+3 \text{QuantumGroups$\grave{ }$a}^7 z^3-9 \text{QuantumGroups$\grave{ }$a}^5 z^3-33 \text{QuantumGroups$\grave{ }$a}^3 z^3-42 \text{QuantumGroups$\grave{ }$a} z^3-42 z^3 $Failed^{-1} -26 z^3 $Failed^{-1} -5 z^3 $Failed^{-1} -4 \text{QuantumGroups$\grave{ }$a}^6 z^2-7 \text{QuantumGroups$\grave{ }$a}^4 z^2-5 \text{QuantumGroups$\grave{ }$a}^2 z^2-5 z^2 $Failed^{-1} -3 z^2 $Failed^{-1} -4 z^2-\text{QuantumGroups$\grave{ }$a}^7 z+2 \text{QuantumGroups$\grave{ }$a}^5 z+8 \text{QuantumGroups$\grave{ }$a}^3 z+11 \text{QuantumGroups$\grave{ }$a} z+10 z $Failed^{-1} +4 z $Failed^{-1} +\text{QuantumGroups$\grave{ }$a}^6+\text{QuantumGroups$\grave{ }$a}^4-\text{QuantumGroups$\grave{ }$a}^2+2 $Failed^{-1} + $Failed^{-1} +1}

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