K14a7028

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14a7028

Polynomial invariants

Jones polynomial	Data:K14a7028/Jones Polynomial
Alexander polynomial	$-2t^{4}+16t^{3}-61t^{2}+129t-163+129t^{-1}-61t^{-2}+16t^{-3}-2t^{-4}$
Conway polynomial	Data:K14a7028/Conway Polynomial
Determinant	Data:K14a7028/Determinant
Signature	Data:K14a7028/Signature
HOMFLY-PT polynomial	$-z^{8}a^{-2}-z^{8}a^{-4}-3z^{6}a^{-2}-z^{6}a^{-4}+3z^{6}a^{-6}+z^{6}-7z^{4}a^{-2}-z^{4}a^{-4}+4z^{4}a^{-6}-3z^{4}a^{-8}+2z^{4}-6z^{2}a^{-2}+z^{2}a^{-6}-2z^{2}a^{-8}+z^{2}a^{-10}+3z^{2}-a^{-2}-a^{-6}+a^{-8}+2$
Kauffman polynomial	Failed to parse (syntax error): {\displaystyle 2 z^{13} $Failed^{-1} +2 z^{13} $Failed^{-1} +9 z^{12} $Failed^{-1} +17 z^{12} $Failed^{-1} +8 z^{12} $Failed^{-1} +20 z^{11} $Failed^{-1} +39 z^{11} $Failed^{-1} +32 z^{11} $Failed^{-1} +13 z^{11} $Failed^{-1} +27 z^{10} $Failed^{-1} +40 z^{10} $Failed^{-1} +12 z^{10} $Failed^{-1} +10 z^{10} $Failed^{-1} +11 z^{10} $Failed^{-1} +24 z^9 $Failed^{-1} +4 z^9 $Failed^{-1} -65 z^9 $Failed^{-1} -78 z^9 $Failed^{-1} -28 z^9 $Failed^{-1} +5 z^9 $Failed^{-1} -33 z^8 $Failed^{-1} -120 z^8 $Failed^{-1} -113 z^8 $Failed^{-1} -75 z^8 $Failed^{-1} -34 z^8 $Failed^{-1} +z^8 $Failed^{-1} +14 z^8+5 \text{QuantumGroups$\grave{ }$a} z^7-39 z^7 $Failed^{-1} -71 z^7 $Failed^{-1} -23 z^7 $Failed^{-1} +26 z^7 $Failed^{-1} +6 z^7 $Failed^{-1} -16 z^7 $Failed^{-1} +\text{QuantumGroups$\grave{ }$a}^2 z^6+2 z^6 $Failed^{-1} +94 z^6 $Failed^{-1} +111 z^6 $Failed^{-1} +79 z^6 $Failed^{-1} +35 z^6 $Failed^{-1} -3 z^6 $Failed^{-1} -21 z^6-5 \text{QuantumGroups$\grave{ }$a} z^5+29 z^5 $Failed^{-1} +73 z^5 $Failed^{-1} +78 z^5 $Failed^{-1} +37 z^5 $Failed^{-1} +15 z^5 $Failed^{-1} +17 z^5 $Failed^{-1} -\text{QuantumGroups$\grave{ }$a}^2 z^4+15 z^4 $Failed^{-1} -28 z^4 $Failed^{-1} -28 z^4 $Failed^{-1} -18 z^4 $Failed^{-1} -13 z^4 $Failed^{-1} +3 z^4 $Failed^{-1} +16 z^4+\text{QuantumGroups$\grave{ }$a} z^3-10 z^3 $Failed^{-1} -31 z^3 $Failed^{-1} -48 z^3 $Failed^{-1} -27 z^3 $Failed^{-1} -5 z^3 $Failed^{-1} -6 z^3 $Failed^{-1} -8 z^2 $Failed^{-1} +z^2 $Failed^{-1} -5 z^2 $Failed^{-1} -5 z^2 $Failed^{-1} +z^2 $Failed^{-1} -z^2 $Failed^{-1} -7 z^2+z $Failed^{-1} +6 z $Failed^{-1} +12 z $Failed^{-1} +7 z $Failed^{-1} + $Failed^{-1} + $Failed^{-1} + $Failed^{-1} +2}

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