K14a2097

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14a2097

Polynomial invariants

Jones polynomial	Data:K14a2097/Jones Polynomial
Alexander polynomial	$-t^{4}+11t^{3}-48t^{2}+109t-141+109t^{-1}-48t^{-2}+11t^{-3}-t^{-4}$
Conway polynomial	Data:K14a2097/Conway Polynomial
Determinant	Data:K14a2097/Determinant
Signature	Data:K14a2097/Signature
HOMFLY-PT polynomial	$z^{2}a^{8}-3z^{4}a^{6}-3z^{2}a^{6}-a^{6}+3z^{6}a^{4}+6z^{4}a^{4}+7z^{2}a^{4}+3a^{4}-z^{8}a^{2}-3z^{6}a^{2}-9z^{4}a^{2}-10z^{2}a^{2}-4a^{2}+3z^{6}+7z^{4}+9z^{2}+5-3z^{4}a^{-2}-5z^{2}a^{-2}-3a^{-2}+z^{2}a^{-4}+a^{-4}$
Kauffman polynomial	Failed to parse (syntax error): {\displaystyle \text{QuantumGroups$\grave{ }$a}^3 z^{13}+\text{QuantumGroups$\grave{ }$a} z^{13}+5 \text{QuantumGroups$\grave{ }$a}^4 z^{12}+9 \text{QuantumGroups$\grave{ }$a}^2 z^{12}+4 z^{12}+12 \text{QuantumGroups$\grave{ }$a}^5 z^{11}+24 \text{QuantumGroups$\grave{ }$a}^3 z^{11}+19 \text{QuantumGroups$\grave{ }$a} z^{11}+7 z^{11} $Failed^{-1} +18 \text{QuantumGroups$\grave{ }$a}^6 z^{10}+31 \text{QuantumGroups$\grave{ }$a}^4 z^{10}+20 \text{QuantumGroups$\grave{ }$a}^2 z^{10}+7 z^{10} $Failed^{-1} +14 z^{10}+18 \text{QuantumGroups$\grave{ }$a}^7 z^9+16 \text{QuantumGroups$\grave{ }$a}^5 z^9-17 \text{QuantumGroups$\grave{ }$a}^3 z^9-24 \text{QuantumGroups$\grave{ }$a} z^9-5 z^9 $Failed^{-1} +4 z^9 $Failed^{-1} +12 \text{QuantumGroups$\grave{ }$a}^8 z^8-12 \text{QuantumGroups$\grave{ }$a}^6 z^8-67 \text{QuantumGroups$\grave{ }$a}^4 z^8-79 \text{QuantumGroups$\grave{ }$a}^2 z^8-19 z^8 $Failed^{-1} +z^8 $Failed^{-1} -56 z^8+5 \text{QuantumGroups$\grave{ }$a}^9 z^7-26 \text{QuantumGroups$\grave{ }$a}^7 z^7-71 \text{QuantumGroups$\grave{ }$a}^5 z^7-73 \text{QuantumGroups$\grave{ }$a}^3 z^7-54 \text{QuantumGroups$\grave{ }$a} z^7-36 z^7 $Failed^{-1} -15 z^7 $Failed^{-1} +\text{QuantumGroups$\grave{ }$a}^{10} z^6-19 \text{QuantumGroups$\grave{ }$a}^8 z^6-22 \text{QuantumGroups$\grave{ }$a}^6 z^6+14 \text{QuantumGroups$\grave{ }$a}^4 z^6+36 \text{QuantumGroups$\grave{ }$a}^2 z^6+10 z^6 $Failed^{-1} -4 z^6 $Failed^{-1} +34 z^6-7 \text{QuantumGroups$\grave{ }$a}^9 z^5+13 \text{QuantumGroups$\grave{ }$a}^7 z^5+65 \text{QuantumGroups$\grave{ }$a}^5 z^5+100 \text{QuantumGroups$\grave{ }$a}^3 z^5+98 \text{QuantumGroups$\grave{ }$a} z^5+64 z^5 $Failed^{-1} +21 z^5 $Failed^{-1} -\text{QuantumGroups$\grave{ }$a}^{10} z^4+12 \text{QuantumGroups$\grave{ }$a}^8 z^4+29 \text{QuantumGroups$\grave{ }$a}^6 z^4+33 \text{QuantumGroups$\grave{ }$a}^4 z^4+33 \text{QuantumGroups$\grave{ }$a}^2 z^4+12 z^4 $Failed^{-1} +6 z^4 $Failed^{-1} +22 z^4+3 \text{QuantumGroups$\grave{ }$a}^9 z^3-2 \text{QuantumGroups$\grave{ }$a}^7 z^3-24 \text{QuantumGroups$\grave{ }$a}^5 z^3-46 \text{QuantumGroups$\grave{ }$a}^3 z^3-52 \text{QuantumGroups$\grave{ }$a} z^3-38 z^3 $Failed^{-1} -13 z^3 $Failed^{-1} -3 \text{QuantumGroups$\grave{ }$a}^8 z^2-11 \text{QuantumGroups$\grave{ }$a}^6 z^2-20 \text{QuantumGroups$\grave{ }$a}^4 z^2-26 \text{QuantumGroups$\grave{ }$a}^2 z^2-13 z^2 $Failed^{-1} -4 z^2 $Failed^{-1} -23 z^2+3 \text{QuantumGroups$\grave{ }$a}^5 z+8 \text{QuantumGroups$\grave{ }$a}^3 z+10 \text{QuantumGroups$\grave{ }$a} z+8 z $Failed^{-1} +3 z $Failed^{-1} +\text{QuantumGroups$\grave{ }$a}^6+3 \text{QuantumGroups$\grave{ }$a}^4+4 \text{QuantumGroups$\grave{ }$a}^2+3 $Failed^{-1} + $Failed^{-1} +5}

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