K14a1927

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14a1927

Polynomial invariants

Jones polynomial	Data:K14a1927/Jones Polynomial
Alexander polynomial	$t^{5}-9t^{4}+34t^{3}-79t^{2}+129t-151+129t^{-1}-79t^{-2}+34t^{-3}-9t^{-4}+t^{-5}$
Conway polynomial	Data:K14a1927/Conway Polynomial
Determinant	Data:K14a1927/Determinant
Signature	Data:K14a1927/Signature
HOMFLY-PT polynomial	$z^{10}a^{-2}+5z^{8}a^{-2}-3z^{8}a^{-4}-z^{8}+10z^{6}a^{-2}-13z^{6}a^{-4}+3z^{6}a^{-6}-3z^{6}+9z^{4}a^{-2}-21z^{4}a^{-4}+10z^{4}a^{-6}-z^{4}a^{-8}-2z^{4}+4z^{2}a^{-2}-14z^{2}a^{-4}+11z^{2}a^{-6}-2z^{2}a^{-8}+z^{2}+a^{-2}-3a^{-4}+3a^{-6}-a^{-8}+1$
Kauffman polynomial	Failed to parse (syntax error): {\displaystyle 3 z^{13} $Failed^{-1} +3 z^{13} $Failed^{-1} +13 z^{12} $Failed^{-1} +24 z^{12} $Failed^{-1} +11 z^{12} $Failed^{-1} +24 z^{11} $Failed^{-1} +49 z^{11} $Failed^{-1} +43 z^{11} $Failed^{-1} +18 z^{11} $Failed^{-1} +27 z^{10} $Failed^{-1} +7 z^{10} $Failed^{-1} +23 z^{10} $Failed^{-1} +18 z^{10} $Failed^{-1} +25 z^{10}+16 \text{QuantumGroups$\grave{ }$a} z^9-27 z^9 $Failed^{-1} -110 z^9 $Failed^{-1} -93 z^9 $Failed^{-1} -14 z^9 $Failed^{-1} +12 z^9 $Failed^{-1} +6 \text{QuantumGroups$\grave{ }$a}^2 z^8-124 z^8 $Failed^{-1} -133 z^8 $Failed^{-1} -101 z^8 $Failed^{-1} -32 z^8 $Failed^{-1} +5 z^8 $Failed^{-1} -49 z^8+\text{QuantumGroups$\grave{ }$a}^3 z^7-32 \text{QuantumGroups$\grave{ }$a} z^7-28 z^7 $Failed^{-1} +48 z^7 $Failed^{-1} +35 z^7 $Failed^{-1} -35 z^7 $Failed^{-1} -26 z^7 $Failed^{-1} +z^7 $Failed^{-1} -10 \text{QuantumGroups$\grave{ }$a}^2 z^6+126 z^6 $Failed^{-1} +178 z^6 $Failed^{-1} +114 z^6 $Failed^{-1} +15 z^6 $Failed^{-1} -11 z^6 $Failed^{-1} +26 z^6-\text{QuantumGroups$\grave{ }$a}^3 z^5+19 \text{QuantumGroups$\grave{ }$a} z^5+46 z^5 $Failed^{-1} +36 z^5 $Failed^{-1} +46 z^5 $Failed^{-1} +59 z^5 $Failed^{-1} +21 z^5 $Failed^{-1} -2 z^5 $Failed^{-1} +4 \text{QuantumGroups$\grave{ }$a}^2 z^4-49 z^4 $Failed^{-1} -96 z^4 $Failed^{-1} -61 z^4 $Failed^{-1} +8 z^4 $Failed^{-1} -2 z^4-4 \text{QuantumGroups$\grave{ }$a} z^3-19 z^3 $Failed^{-1} -30 z^3 $Failed^{-1} -40 z^3 $Failed^{-1} -35 z^3 $Failed^{-1} -9 z^3 $Failed^{-1} +z^3 $Failed^{-1} +7 z^2 $Failed^{-1} +26 z^2 $Failed^{-1} +18 z^2 $Failed^{-1} -2 z^2 $Failed^{-1} -3 z^2+2 z $Failed^{-1} +6 z $Failed^{-1} +8 z $Failed^{-1} +6 z $Failed^{-1} +2 z $Failed^{-1} - $Failed^{-1} -3 $Failed^{-1} -3 $Failed^{-1} - $Failed^{-1} +1}

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