K14a1060

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14a1060

Polynomial invariants

Jones polynomial	Data:K14a1060/Jones Polynomial
Alexander polynomial	$-3t^{4}+21t^{3}-69t^{2}+136t-169+136t^{-1}-69t^{-2}+21t^{-3}-3t^{-4}$
Conway polynomial	Data:K14a1060/Conway Polynomial
Determinant	Data:K14a1060/Determinant
Signature	Data:K14a1060/Signature
HOMFLY-PT polynomial	$-z^{8}a^{-2}-2z^{8}a^{-4}-2z^{6}a^{-2}-7z^{6}a^{-4}+5z^{6}a^{-6}+z^{6}-z^{4}a^{-2}-13z^{4}a^{-4}+13z^{4}a^{-6}-4z^{4}a^{-8}+2z^{4}+3z^{2}a^{-2}-11z^{2}a^{-4}+12z^{2}a^{-6}-5z^{2}a^{-8}+z^{2}a^{-10}+z^{2}+3a^{-2}-4a^{-4}+3a^{-6}-a^{-8}$
Kauffman polynomial	Failed to parse (syntax error): {\displaystyle 3 z^{13} $Failed^{-1} +3 z^{13} $Failed^{-1} +14 z^{12} $Failed^{-1} +26 z^{12} $Failed^{-1} +12 z^{12} $Failed^{-1} +26 z^{11} $Failed^{-1} +55 z^{11} $Failed^{-1} +48 z^{11} $Failed^{-1} +19 z^{11} $Failed^{-1} +28 z^{10} $Failed^{-1} +24 z^{10} $Failed^{-1} -7 z^{10} $Failed^{-1} +12 z^{10} $Failed^{-1} +15 z^{10} $Failed^{-1} +22 z^9 $Failed^{-1} -33 z^9 $Failed^{-1} -163 z^9 $Failed^{-1} -157 z^9 $Failed^{-1} -43 z^9 $Failed^{-1} +6 z^9 $Failed^{-1} -44 z^8 $Failed^{-1} -131 z^8 $Failed^{-1} -159 z^8 $Failed^{-1} -130 z^8 $Failed^{-1} -44 z^8 $Failed^{-1} +z^8 $Failed^{-1} +13 z^8+5 \text{QuantumGroups$\grave{ }$a} z^7-33 z^7 $Failed^{-1} +6 z^7 $Failed^{-1} +159 z^7 $Failed^{-1} +139 z^7 $Failed^{-1} +8 z^7 $Failed^{-1} -16 z^7 $Failed^{-1} +\text{QuantumGroups$\grave{ }$a}^2 z^6+28 z^6 $Failed^{-1} +171 z^6 $Failed^{-1} +257 z^6 $Failed^{-1} +177 z^6 $Failed^{-1} +41 z^6 $Failed^{-1} -2 z^6 $Failed^{-1} -19 z^6-6 \text{QuantumGroups$\grave{ }$a} z^5+18 z^5 $Failed^{-1} +z^5 $Failed^{-1} -67 z^5 $Failed^{-1} -32 z^5 $Failed^{-1} +25 z^5 $Failed^{-1} +13 z^5 $Failed^{-1} -\text{QuantumGroups$\grave{ }$a}^2 z^4-14 z^4 $Failed^{-1} -107 z^4 $Failed^{-1} -153 z^4 $Failed^{-1} -90 z^4 $Failed^{-1} -17 z^4 $Failed^{-1} +z^4 $Failed^{-1} +11 z^4+2 \text{QuantumGroups$\grave{ }$a} z^3-3 z^3 $Failed^{-1} +2 z^3 $Failed^{-1} +12 z^3 $Failed^{-1} -3 z^3 $Failed^{-1} -12 z^3 $Failed^{-1} -4 z^3 $Failed^{-1} +8 z^2 $Failed^{-1} +32 z^2 $Failed^{-1} +37 z^2 $Failed^{-1} +18 z^2 $Failed^{-1} +3 z^2 $Failed^{-1} -2 z^2+z $Failed^{-1} +z $Failed^{-1} -3 $Failed^{-1} -4 $Failed^{-1} -3 $Failed^{-1} - $Failed^{-1} }

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