K14a5954

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14a5954

Polynomial invariants

Jones polynomial	Data:K14a5954/Jones Polynomial
Alexander polynomial	$-t^{5}+9t^{4}-38t^{3}+98t^{2}-169t+203-169t^{-1}+98t^{-2}-38t^{-3}+9t^{-4}-t^{-5}$
Conway polynomial	Data:K14a5954/Conway Polynomial
Determinant	Data:K14a5954/Determinant
Signature	Data:K14a5954/Signature
HOMFLY-PT polynomial	$-z^{10}+2a^{2}z^{8}+2z^{8}a^{-2}-5z^{8}-a^{4}z^{6}+8a^{2}z^{6}+6z^{6}a^{-2}-z^{6}a^{-4}-13z^{6}-3a^{4}z^{4}+15a^{2}z^{4}+7z^{4}a^{-2}-z^{4}a^{-4}-18z^{4}-4a^{4}z^{2}+14a^{2}z^{2}+4z^{2}a^{-2}-14z^{2}-2a^{4}+6a^{2}+2a^{-2}-5$
Kauffman polynomial	Failed to parse (syntax error): {\displaystyle 7 \text{QuantumGroups$\grave{ }$a} z^{13}+7 z^{13} $Failed^{-1} +22 \text{QuantumGroups$\grave{ }$a}^2 z^{12}+27 z^{12} $Failed^{-1} +49 z^{12}+31 \text{QuantumGroups$\grave{ }$a}^3 z^{11}+64 \text{QuantumGroups$\grave{ }$a} z^{11}+77 z^{11} $Failed^{-1} +44 z^{11} $Failed^{-1} +26 \text{QuantumGroups$\grave{ }$a}^4 z^{10}+3 \text{QuantumGroups$\grave{ }$a}^2 z^{10}+11 z^{10} $Failed^{-1} +40 z^{10} $Failed^{-1} -52 z^{10}+14 \text{QuantumGroups$\grave{ }$a}^5 z^9-57 \text{QuantumGroups$\grave{ }$a}^3 z^9-189 \text{QuantumGroups$\grave{ }$a} z^9-211 z^9 $Failed^{-1} -71 z^9 $Failed^{-1} +22 z^9 $Failed^{-1} +5 \text{QuantumGroups$\grave{ }$a}^6 z^8-58 \text{QuantumGroups$\grave{ }$a}^4 z^8-101 \text{QuantumGroups$\grave{ }$a}^2 z^8-130 z^8 $Failed^{-1} -74 z^8 $Failed^{-1} +7 z^8 $Failed^{-1} -87 z^8+\text{QuantumGroups$\grave{ }$a}^7 z^7-28 \text{QuantumGroups$\grave{ }$a}^5 z^7+39 \text{QuantumGroups$\grave{ }$a}^3 z^7+188 \text{QuantumGroups$\grave{ }$a} z^7+167 z^7 $Failed^{-1} +13 z^7 $Failed^{-1} -33 z^7 $Failed^{-1} +z^7 $Failed^{-1} -9 \text{QuantumGroups$\grave{ }$a}^6 z^6+62 \text{QuantumGroups$\grave{ }$a}^4 z^6+155 \text{QuantumGroups$\grave{ }$a}^2 z^6+118 z^6 $Failed^{-1} +35 z^6 $Failed^{-1} -6 z^6 $Failed^{-1} +161 z^6-2 \text{QuantumGroups$\grave{ }$a}^7 z^5+22 \text{QuantumGroups$\grave{ }$a}^5 z^5-5 \text{QuantumGroups$\grave{ }$a}^3 z^5-77 \text{QuantumGroups$\grave{ }$a} z^5-45 z^5 $Failed^{-1} +13 z^5 $Failed^{-1} +10 z^5 $Failed^{-1} +4 \text{QuantumGroups$\grave{ }$a}^6 z^4-41 \text{QuantumGroups$\grave{ }$a}^4 z^4-105 \text{QuantumGroups$\grave{ }$a}^2 z^4-35 z^4 $Failed^{-1} -z^4 $Failed^{-1} -94 z^4+\text{QuantumGroups$\grave{ }$a}^7 z^3-10 \text{QuantumGroups$\grave{ }$a}^5 z^3-8 \text{QuantumGroups$\grave{ }$a}^3 z^3+10 \text{QuantumGroups$\grave{ }$a} z^3+z^3 $Failed^{-1} -5 z^3 $Failed^{-1} +z^3 $Failed^{-1} +14 \text{QuantumGroups$\grave{ }$a}^4 z^2+36 \text{QuantumGroups$\grave{ }$a}^2 z^2+6 z^2 $Failed^{-1} -2 z^2 $Failed^{-1} +30 z^2+2 \text{QuantumGroups$\grave{ }$a}^5 z+3 \text{QuantumGroups$\grave{ }$a}^3 z+\text{QuantumGroups$\grave{ }$a} z+z $Failed^{-1} +z $Failed^{-1} -2 \text{QuantumGroups$\grave{ }$a}^4-6 \text{QuantumGroups$\grave{ }$a}^2-2 $Failed^{-1} -5}

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