K14a2541

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14a2541

Polynomial invariants

Jones polynomial	Data:K14a2541/Jones Polynomial
Alexander polynomial	$-4t^{3}+28t^{2}-74t+101-74t^{-1}+28t^{-2}-4t^{-3}$
Conway polynomial	Data:K14a2541/Conway Polynomial
Determinant	Data:K14a2541/Determinant
Signature	Data:K14a2541/Signature
HOMFLY-PT polynomial	$-z^{2}a^{6}+2z^{4}a^{4}-a^{4}-z^{6}a^{2}+2z^{4}a^{2}+4z^{2}a^{2}+2a^{2}-2z^{6}-2z^{4}-2z^{2}-z^{6}a^{-2}-z^{2}a^{-2}-a^{-2}+2z^{4}a^{-4}+3z^{2}a^{-4}+2a^{-4}-z^{2}a^{-6}-a^{-6}$
Kauffman polynomial	Failed to parse (syntax error): {\displaystyle \text{QuantumGroups$\grave{ }$a} z^{13}+z^{13} $Failed^{-1} +4 \text{QuantumGroups$\grave{ }$a}^2 z^{12}+3 z^{12} $Failed^{-1} +7 z^{12}+8 \text{QuantumGroups$\grave{ }$a}^3 z^{11}+11 \text{QuantumGroups$\grave{ }$a} z^{11}+7 z^{11} $Failed^{-1} +4 z^{11} $Failed^{-1} +10 \text{QuantumGroups$\grave{ }$a}^4 z^{10}+3 \text{QuantumGroups$\grave{ }$a}^2 z^{10}-3 z^{10} $Failed^{-1} +4 z^{10} $Failed^{-1} -14 z^{10}+8 \text{QuantumGroups$\grave{ }$a}^5 z^9-15 \text{QuantumGroups$\grave{ }$a}^3 z^9-38 \text{QuantumGroups$\grave{ }$a} z^9-24 z^9 $Failed^{-1} -5 z^9 $Failed^{-1} +4 z^9 $Failed^{-1} +4 \text{QuantumGroups$\grave{ }$a}^6 z^8-28 \text{QuantumGroups$\grave{ }$a}^4 z^8-34 \text{QuantumGroups$\grave{ }$a}^2 z^8+7 z^8 $Failed^{-1} -3 z^8 $Failed^{-1} +3 z^8 $Failed^{-1} +11 z^8+\text{QuantumGroups$\grave{ }$a}^7 z^7-24 \text{QuantumGroups$\grave{ }$a}^5 z^7-3 \text{QuantumGroups$\grave{ }$a}^3 z^7+52 \text{QuantumGroups$\grave{ }$a} z^7+43 z^7 $Failed^{-1} +3 z^7 $Failed^{-1} -9 z^7 $Failed^{-1} +z^7 $Failed^{-1} -12 \text{QuantumGroups$\grave{ }$a}^6 z^6+24 \text{QuantumGroups$\grave{ }$a}^4 z^6+54 \text{QuantumGroups$\grave{ }$a}^2 z^6-17 z^6 $Failed^{-1} -16 z^6 $Failed^{-1} -11 z^6 $Failed^{-1} +6 z^6-3 \text{QuantumGroups$\grave{ }$a}^7 z^5+21 \text{QuantumGroups$\grave{ }$a}^5 z^5+19 \text{QuantumGroups$\grave{ }$a}^3 z^5-28 \text{QuantumGroups$\grave{ }$a} z^5-37 z^5 $Failed^{-1} -10 z^5 $Failed^{-1} -4 z^5 $Failed^{-1} +9 \text{QuantumGroups$\grave{ }$a}^6 z^4-13 \text{QuantumGroups$\grave{ }$a}^4 z^4-35 \text{QuantumGroups$\grave{ }$a}^2 z^4+17 z^4 $Failed^{-1} +24 z^4 $Failed^{-1} +13 z^4 $Failed^{-1} -7 z^4+2 \text{QuantumGroups$\grave{ }$a}^7 z^3-10 \text{QuantumGroups$\grave{ }$a}^5 z^3-14 \text{QuantumGroups$\grave{ }$a}^3 z^3+7 \text{QuantumGroups$\grave{ }$a} z^3+14 z^3 $Failed^{-1} +8 z^3 $Failed^{-1} +8 z^3 $Failed^{-1} +5 z^3 $Failed^{-1} -2 \text{QuantumGroups$\grave{ }$a}^6 z^2+4 \text{QuantumGroups$\grave{ }$a}^4 z^2+12 \text{QuantumGroups$\grave{ }$a}^2 z^2-9 z^2 $Failed^{-1} -12 z^2 $Failed^{-1} -6 z^2 $Failed^{-1} +3 z^2+2 \text{QuantumGroups$\grave{ }$a}^5 z+3 \text{QuantumGroups$\grave{ }$a}^3 z-2 z $Failed^{-1} -2 z $Failed^{-1} -3 z $Failed^{-1} -2 z $Failed^{-1} -\text{QuantumGroups$\grave{ }$a}^4-2 \text{QuantumGroups$\grave{ }$a}^2+ $Failed^{-1} +2 $Failed^{-1} + $Failed^{-1} }

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