K14a13884

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14a13884

Polynomial invariants

Jones polynomial	Data:K14a13884/Jones Polynomial
Alexander polynomial	$2t^{5}-12t^{4}+35t^{3}-67t^{2}+97t-109+97t^{-1}-67t^{-2}+35t^{-3}-12t^{-4}+2t^{-5}$
Conway polynomial	Data:K14a13884/Conway Polynomial
Determinant	Data:K14a13884/Determinant
Signature	Data:K14a13884/Signature
HOMFLY-PT polynomial	$z^{10}a^{-2}+z^{10}a^{-4}+5z^{8}a^{-2}+5z^{8}a^{-4}-z^{8}a^{-6}-z^{8}+8z^{6}a^{-2}+9z^{6}a^{-4}-4z^{6}a^{-6}-4z^{6}+3z^{4}a^{-2}+9z^{4}a^{-4}-5z^{4}a^{-6}-4z^{4}-3z^{2}a^{-2}+8z^{2}a^{-4}-3z^{2}a^{-6}-2a^{-2}+4a^{-4}-2a^{-6}+1$
Kauffman polynomial	Failed to parse (syntax error): {\displaystyle 5 z^{13} $Failed^{-1} +5 z^{13} $Failed^{-1} +15 z^{12} $Failed^{-1} +29 z^{12} $Failed^{-1} +14 z^{12} $Failed^{-1} +21 z^{11} $Failed^{-1} +22 z^{11} $Failed^{-1} +20 z^{11} $Failed^{-1} +19 z^{11} $Failed^{-1} -28 z^{10} $Failed^{-1} -87 z^{10} $Failed^{-1} -22 z^{10} $Failed^{-1} +18 z^{10} $Failed^{-1} +19 z^{10}+12 \text{QuantumGroups$\grave{ }$a} z^9-60 z^9 $Failed^{-1} -113 z^9 $Failed^{-1} -95 z^9 $Failed^{-1} -42 z^9 $Failed^{-1} +12 z^9 $Failed^{-1} +5 \text{QuantumGroups$\grave{ }$a}^2 z^8-6 z^8 $Failed^{-1} +105 z^8 $Failed^{-1} +4 z^8 $Failed^{-1} -42 z^8 $Failed^{-1} +5 z^8 $Failed^{-1} -55 z^8+\text{QuantumGroups$\grave{ }$a}^3 z^7-32 \text{QuantumGroups$\grave{ }$a} z^7+58 z^7 $Failed^{-1} +177 z^7 $Failed^{-1} +149 z^7 $Failed^{-1} +34 z^7 $Failed^{-1} -28 z^7 $Failed^{-1} +z^7 $Failed^{-1} -12 \text{QuantumGroups$\grave{ }$a}^2 z^6+50 z^6 $Failed^{-1} -45 z^6 $Failed^{-1} +9 z^6 $Failed^{-1} +31 z^6 $Failed^{-1} -11 z^6 $Failed^{-1} +50 z^6-2 \text{QuantumGroups$\grave{ }$a}^3 z^5+20 \text{QuantumGroups$\grave{ }$a} z^5-18 z^5 $Failed^{-1} -101 z^5 $Failed^{-1} -104 z^5 $Failed^{-1} -23 z^5 $Failed^{-1} +18 z^5 $Failed^{-1} -2 z^5 $Failed^{-1} +4 \text{QuantumGroups$\grave{ }$a}^2 z^4-23 z^4 $Failed^{-1} +11 z^4 $Failed^{-1} -10 z^4 $Failed^{-1} -15 z^4 $Failed^{-1} +6 z^4 $Failed^{-1} -19 z^4-4 \text{QuantumGroups$\grave{ }$a} z^3+21 z^3 $Failed^{-1} +29 z^3 $Failed^{-1} +7 z^3 $Failed^{-1} -4 z^3 $Failed^{-1} +z^3 $Failed^{-1} -3 z^2 $Failed^{-1} -9 z^2 $Failed^{-1} -z^2 $Failed^{-1} +4 z^2 $Failed^{-1} +z^2-z $Failed^{-1} -3 z $Failed^{-1} -z $Failed^{-1} +z $Failed^{-1} +2 $Failed^{-1} +4 $Failed^{-1} +2 $Failed^{-1} +1}

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