K14a18699

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14a18699

Polynomial invariants

Jones polynomial	Data:K14a18699/Jones Polynomial
Alexander polynomial	$-4t^{4}+26t^{3}-79t^{2}+147t-179+147t^{-1}-79t^{-2}+26t^{-3}-4t^{-4}$
Conway polynomial	Data:K14a18699/Conway Polynomial
Determinant	Data:K14a18699/Determinant
Signature	Data:K14a18699/Signature
HOMFLY-PT polynomial	$-z^{8}a^{-2}-2z^{8}a^{-4}-z^{8}a^{-6}-2z^{6}a^{-2}-5z^{6}a^{-4}-z^{6}a^{-6}+z^{6}a^{-8}+z^{6}-2z^{4}a^{-2}-4z^{4}a^{-4}+z^{4}a^{-8}+2z^{4}+z^{2}a^{-4}-2z^{2}a^{-6}+z^{2}a^{-8}+z^{2}+a^{-2}+2a^{-4}-3a^{-6}+a^{-8}$
Kauffman polynomial	Failed to parse (syntax error): {\displaystyle 7 z^{13} $Failed^{-1} +7 z^{13} $Failed^{-1} +23 z^{12} $Failed^{-1} +44 z^{12} $Failed^{-1} +21 z^{12} $Failed^{-1} +35 z^{11} $Failed^{-1} +51 z^{11} $Failed^{-1} +42 z^{11} $Failed^{-1} +26 z^{11} $Failed^{-1} +34 z^{10} $Failed^{-1} -13 z^{10} $Failed^{-1} -95 z^{10} $Failed^{-1} -31 z^{10} $Failed^{-1} +17 z^{10} $Failed^{-1} +24 z^9 $Failed^{-1} -70 z^9 $Failed^{-1} -195 z^9 $Failed^{-1} -179 z^9 $Failed^{-1} -72 z^9 $Failed^{-1} +6 z^9 $Failed^{-1} -69 z^8 $Failed^{-1} -76 z^8 $Failed^{-1} +15 z^8 $Failed^{-1} -39 z^8 $Failed^{-1} -47 z^8 $Failed^{-1} +z^8 $Failed^{-1} +13 z^8+5 \text{QuantumGroups$\grave{ }$a} z^7-40 z^7 $Failed^{-1} +55 z^7 $Failed^{-1} +235 z^7 $Failed^{-1} +208 z^7 $Failed^{-1} +59 z^7 $Failed^{-1} -14 z^7 $Failed^{-1} +\text{QuantumGroups$\grave{ }$a}^2 z^6+61 z^6 $Failed^{-1} +129 z^6 $Failed^{-1} +79 z^6 $Failed^{-1} +72 z^6 $Failed^{-1} +40 z^6 $Failed^{-1} -2 z^6 $Failed^{-1} -18 z^6-6 \text{QuantumGroups$\grave{ }$a} z^5+24 z^5 $Failed^{-1} -17 z^5 $Failed^{-1} -126 z^5 $Failed^{-1} -114 z^5 $Failed^{-1} -26 z^5 $Failed^{-1} +9 z^5 $Failed^{-1} -\text{QuantumGroups$\grave{ }$a}^2 z^4-24 z^4 $Failed^{-1} -72 z^4 $Failed^{-1} -58 z^4 $Failed^{-1} -36 z^4 $Failed^{-1} -17 z^4 $Failed^{-1} +z^4 $Failed^{-1} +7 z^4+\text{QuantumGroups$\grave{ }$a} z^3-4 z^3 $Failed^{-1} +5 z^3 $Failed^{-1} +34 z^3 $Failed^{-1} +40 z^3 $Failed^{-1} +14 z^3 $Failed^{-1} -2 z^3 $Failed^{-1} +5 z^2 $Failed^{-1} +11 z^2 $Failed^{-1} +8 z^2 $Failed^{-1} +8 z^2 $Failed^{-1} +5 z^2 $Failed^{-1} -z^2-z $Failed^{-1} -7 z $Failed^{-1} -10 z $Failed^{-1} -4 z $Failed^{-1} - $Failed^{-1} +2 $Failed^{-1} +3 $Failed^{-1} + $Failed^{-1} }

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