K14a13504

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14a13504

Polynomial invariants

Jones polynomial	Data:K14a13504/Jones Polynomial
Alexander polynomial	$4t^{4}-23t^{3}+61t^{2}-102t+121-102t^{-1}+61t^{-2}-23t^{-3}+4t^{-4}$
Conway polynomial	Data:K14a13504/Conway Polynomial
Determinant	Data:K14a13504/Determinant
Signature	Data:K14a13504/Signature
HOMFLY-PT polynomial	$a^{4}z^{8}+2a^{2}z^{8}+z^{8}-a^{6}z^{6}+3a^{4}z^{6}+6a^{2}z^{6}-z^{6}a^{-2}+2z^{6}-3a^{6}z^{4}+4a^{4}z^{4}+3a^{2}z^{4}-2z^{4}a^{-2}+z^{4}-2a^{6}z^{2}+4a^{4}z^{2}-4a^{2}z^{2}-z^{2}a^{-2}+2z^{2}+a^{4}-2a^{2}+2$
Kauffman polynomial	Failed to parse (syntax error): {\displaystyle 3 \text{QuantumGroups$\grave{ }$a}^5 z^{13}+3 \text{QuantumGroups$\grave{ }$a}^3 z^{13}+7 \text{QuantumGroups$\grave{ }$a}^6 z^{12}+20 \text{QuantumGroups$\grave{ }$a}^4 z^{12}+13 \text{QuantumGroups$\grave{ }$a}^2 z^{12}+7 \text{QuantumGroups$\grave{ }$a}^7 z^{11}+12 \text{QuantumGroups$\grave{ }$a}^5 z^{11}+34 \text{QuantumGroups$\grave{ }$a}^3 z^{11}+29 \text{QuantumGroups$\grave{ }$a} z^{11}+4 \text{QuantumGroups$\grave{ }$a}^8 z^{10}-19 \text{QuantumGroups$\grave{ }$a}^6 z^{10}-47 \text{QuantumGroups$\grave{ }$a}^4 z^{10}+17 \text{QuantumGroups$\grave{ }$a}^2 z^{10}+41 z^{10}+\text{QuantumGroups$\grave{ }$a}^9 z^9-30 \text{QuantumGroups$\grave{ }$a}^7 z^9-73 \text{QuantumGroups$\grave{ }$a}^5 z^9-117 \text{QuantumGroups$\grave{ }$a}^3 z^9-35 \text{QuantumGroups$\grave{ }$a} z^9+40 z^9 $Failed^{-1} -20 \text{QuantumGroups$\grave{ }$a}^8 z^8+\text{QuantumGroups$\grave{ }$a}^6 z^8+\text{QuantumGroups$\grave{ }$a}^4 z^8-123 \text{QuantumGroups$\grave{ }$a}^2 z^8+28 z^8 $Failed^{-1} -75 z^8-5 \text{QuantumGroups$\grave{ }$a}^9 z^7+44 \text{QuantumGroups$\grave{ }$a}^7 z^7+103 \text{QuantumGroups$\grave{ }$a}^5 z^7+96 \text{QuantumGroups$\grave{ }$a}^3 z^7-41 \text{QuantumGroups$\grave{ }$a} z^7-69 z^7 $Failed^{-1} +14 z^7 $Failed^{-1} +35 \text{QuantumGroups$\grave{ }$a}^8 z^6+32 \text{QuantumGroups$\grave{ }$a}^6 z^6+49 \text{QuantumGroups$\grave{ }$a}^4 z^6+125 \text{QuantumGroups$\grave{ }$a}^2 z^6-36 z^6 $Failed^{-1} +5 z^6 $Failed^{-1} +32 z^6+8 \text{QuantumGroups$\grave{ }$a}^9 z^5-27 \text{QuantumGroups$\grave{ }$a}^7 z^5-61 \text{QuantumGroups$\grave{ }$a}^5 z^5-16 \text{QuantumGroups$\grave{ }$a}^3 z^5+60 \text{QuantumGroups$\grave{ }$a} z^5+40 z^5 $Failed^{-1} -9 z^5 $Failed^{-1} +z^5 $Failed^{-1} -24 \text{QuantumGroups$\grave{ }$a}^8 z^4-28 \text{QuantumGroups$\grave{ }$a}^6 z^4-28 \text{QuantumGroups$\grave{ }$a}^4 z^4-41 \text{QuantumGroups$\grave{ }$a}^2 z^4+18 z^4 $Failed^{-1} -z^4 $Failed^{-1} +2 z^4-4 \text{QuantumGroups$\grave{ }$a}^9 z^3+8 \text{QuantumGroups$\grave{ }$a}^7 z^3+22 \text{QuantumGroups$\grave{ }$a}^5 z^3-3 \text{QuantumGroups$\grave{ }$a}^3 z^3-24 \text{QuantumGroups$\grave{ }$a} z^3-9 z^3 $Failed^{-1} +2 z^3 $Failed^{-1} +4 \text{QuantumGroups$\grave{ }$a}^8 z^2+8 \text{QuantumGroups$\grave{ }$a}^6 z^2+4 \text{QuantumGroups$\grave{ }$a}^4 z^2-2 \text{QuantumGroups$\grave{ }$a}^2 z^2-3 z^2 $Failed^{-1} -5 z^2-\text{QuantumGroups$\grave{ }$a}^7 z-3 \text{QuantumGroups$\grave{ }$a}^5 z-\text{QuantumGroups$\grave{ }$a}^3 z+2 \text{QuantumGroups$\grave{ }$a} z+z $Failed^{-1} +\text{QuantumGroups$\grave{ }$a}^4+2 \text{QuantumGroups$\grave{ }$a}^2+2}

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