K14a7005

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14a7005

Polynomial invariants

Jones polynomial	Data:K14a7005/Jones Polynomial
Alexander polynomial	$5t^{3}-38t^{2}+108t-149+108t^{-1}-38t^{-2}+5t^{-3}$
Conway polynomial	Data:K14a7005/Conway Polynomial
Determinant	Data:K14a7005/Determinant
Signature	Data:K14a7005/Signature
HOMFLY-PT polynomial	$z^{6}a^{-2}+2z^{6}a^{-4}+2z^{6}a^{-6}-2z^{4}a^{-2}-2z^{4}a^{-4}+z^{4}a^{-6}-3z^{4}a^{-8}-2z^{4}+a^{2}z^{2}+z^{2}a^{-2}-3z^{2}a^{-4}+2z^{2}a^{-6}-z^{2}a^{-8}+z^{2}a^{-10}+2a^{-2}-a^{-4}$
Kauffman polynomial	Failed to parse (syntax error): {\displaystyle 2 z^{13} $Failed^{-1} +2 z^{13} $Failed^{-1} +8 z^{12} $Failed^{-1} +16 z^{12} $Failed^{-1} +8 z^{12} $Failed^{-1} +14 z^{11} $Failed^{-1} +28 z^{11} $Failed^{-1} +27 z^{11} $Failed^{-1} +13 z^{11} $Failed^{-1} +15 z^{10} $Failed^{-1} +6 z^{10} $Failed^{-1} -18 z^{10} $Failed^{-1} +2 z^{10} $Failed^{-1} +11 z^{10} $Failed^{-1} +12 z^9 $Failed^{-1} -27 z^9 $Failed^{-1} -103 z^9 $Failed^{-1} -102 z^9 $Failed^{-1} -33 z^9 $Failed^{-1} +5 z^9 $Failed^{-1} -32 z^8 $Failed^{-1} -69 z^8 $Failed^{-1} -68 z^8 $Failed^{-1} -75 z^8 $Failed^{-1} -35 z^8 $Failed^{-1} +z^8 $Failed^{-1} +8 z^8+4 \text{QuantumGroups$\grave{ }$a} z^7-21 z^7 $Failed^{-1} +26 z^7 $Failed^{-1} +134 z^7 $Failed^{-1} +107 z^7 $Failed^{-1} +8 z^7 $Failed^{-1} -16 z^7 $Failed^{-1} +\text{QuantumGroups$\grave{ }$a}^2 z^6+39 z^6 $Failed^{-1} +127 z^6 $Failed^{-1} +144 z^6 $Failed^{-1} +106 z^6 $Failed^{-1} +32 z^6 $Failed^{-1} -3 z^6 $Failed^{-1} -14 z^6-8 \text{QuantumGroups$\grave{ }$a} z^5+13 z^5 $Failed^{-1} -14 z^5 $Failed^{-1} -79 z^5 $Failed^{-1} -45 z^5 $Failed^{-1} +15 z^5 $Failed^{-1} +16 z^5 $Failed^{-1} -2 \text{QuantumGroups$\grave{ }$a}^2 z^4-32 z^4 $Failed^{-1} -97 z^4 $Failed^{-1} -96 z^4 $Failed^{-1} -56 z^4 $Failed^{-1} -14 z^4 $Failed^{-1} +3 z^4 $Failed^{-1} +6 z^4+4 \text{QuantumGroups$\grave{ }$a} z^3-4 z^3 $Failed^{-1} +6 z^3 $Failed^{-1} +28 z^3 $Failed^{-1} +15 z^3 $Failed^{-1} -6 z^3 $Failed^{-1} -7 z^3 $Failed^{-1} +\text{QuantumGroups$\grave{ }$a}^2 z^2+13 z^2 $Failed^{-1} +30 z^2 $Failed^{-1} +23 z^2 $Failed^{-1} +12 z^2 $Failed^{-1} +4 z^2 $Failed^{-1} -z^2 $Failed^{-1} -2 z $Failed^{-1} -7 z $Failed^{-1} -6 z $Failed^{-1} +z $Failed^{-1} -2 $Failed^{-1} - $Failed^{-1} }

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