K14a5485

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14a5485

Polynomial invariants

Jones polynomial	Data:K14a5485/Jones Polynomial
Alexander polynomial	$-t^{5}+8t^{4}-28t^{3}+64t^{2}-107t+129-107t^{-1}+64t^{-2}-28t^{-3}+8t^{-4}-t^{-5}$
Conway polynomial	Data:K14a5485/Conway Polynomial
Determinant	Data:K14a5485/Determinant
Signature	Data:K14a5485/Signature
HOMFLY-PT polynomial	$-z^{10}+2a^{2}z^{8}+2z^{8}a^{-2}-6z^{8}-a^{4}z^{6}+10a^{2}z^{6}+9z^{6}a^{-2}-z^{6}a^{-4}-16z^{6}-4a^{4}z^{4}+19a^{2}z^{4}+16z^{4}a^{-2}-3z^{4}a^{-4}-22z^{4}-5a^{4}z^{2}+14a^{2}z^{2}+12z^{2}a^{-2}-4z^{2}a^{-4}-17z^{2}-a^{4}+4a^{2}+4a^{-2}-a^{-4}-5$
Kauffman polynomial	Failed to parse (syntax error): {\displaystyle 3 \text{QuantumGroups$\grave{ }$a} z^{13}+3 z^{13} $Failed^{-1} +9 \text{QuantumGroups$\grave{ }$a}^2 z^{12}+13 z^{12} $Failed^{-1} +22 z^{12}+13 \text{QuantumGroups$\grave{ }$a}^3 z^{11}+28 \text{QuantumGroups$\grave{ }$a} z^{11}+38 z^{11} $Failed^{-1} +23 z^{11} $Failed^{-1} +12 \text{QuantumGroups$\grave{ }$a}^4 z^{10}+4 \text{QuantumGroups$\grave{ }$a}^2 z^{10}+z^{10} $Failed^{-1} +22 z^{10} $Failed^{-1} -29 z^{10}+8 \text{QuantumGroups$\grave{ }$a}^5 z^9-21 \text{QuantumGroups$\grave{ }$a}^3 z^9-93 \text{QuantumGroups$\grave{ }$a} z^9-131 z^9 $Failed^{-1} -54 z^9 $Failed^{-1} +13 z^9 $Failed^{-1} +4 \text{QuantumGroups$\grave{ }$a}^6 z^8-24 \text{QuantumGroups$\grave{ }$a}^4 z^8-54 \text{QuantumGroups$\grave{ }$a}^2 z^8-80 z^8 $Failed^{-1} -57 z^8 $Failed^{-1} +5 z^8 $Failed^{-1} -44 z^8+\text{QuantumGroups$\grave{ }$a}^7 z^7-17 \text{QuantumGroups$\grave{ }$a}^5 z^7+11 \text{QuantumGroups$\grave{ }$a}^3 z^7+118 \text{QuantumGroups$\grave{ }$a} z^7+163 z^7 $Failed^{-1} +44 z^7 $Failed^{-1} -29 z^7 $Failed^{-1} +z^7 $Failed^{-1} -11 \text{QuantumGroups$\grave{ }$a}^6 z^6+17 \text{QuantumGroups$\grave{ }$a}^4 z^6+96 \text{QuantumGroups$\grave{ }$a}^2 z^6+135 z^6 $Failed^{-1} +56 z^6 $Failed^{-1} -10 z^6 $Failed^{-1} +137 z^6-3 \text{QuantumGroups$\grave{ }$a}^7 z^5+8 \text{QuantumGroups$\grave{ }$a}^5 z^5-6 \text{QuantumGroups$\grave{ }$a}^3 z^5-62 \text{QuantumGroups$\grave{ }$a} z^5-84 z^5 $Failed^{-1} -19 z^5 $Failed^{-1} +18 z^5 $Failed^{-1} -2 z^5 $Failed^{-1} +10 \text{QuantumGroups$\grave{ }$a}^6 z^4-12 \text{QuantumGroups$\grave{ }$a}^4 z^4-83 \text{QuantumGroups$\grave{ }$a}^2 z^4-97 z^4 $Failed^{-1} -38 z^4 $Failed^{-1} +4 z^4 $Failed^{-1} -116 z^4+3 \text{QuantumGroups$\grave{ }$a}^7 z^3+2 \text{QuantumGroups$\grave{ }$a}^5 z^3+9 \text{QuantumGroups$\grave{ }$a} z^3+18 z^3 $Failed^{-1} +2 z^3 $Failed^{-1} -7 z^3 $Failed^{-1} +z^3 $Failed^{-1} -3 \text{QuantumGroups$\grave{ }$a}^6 z^2+7 \text{QuantumGroups$\grave{ }$a}^4 z^2+31 \text{QuantumGroups$\grave{ }$a}^2 z^2+34 z^2 $Failed^{-1} +13 z^2 $Failed^{-1} +42 z^2-\text{QuantumGroups$\grave{ }$a}^7 z-\text{QuantumGroups$\grave{ }$a}^5 z+\text{QuantumGroups$\grave{ }$a}^3 z-z $Failed^{-1} +z $Failed^{-1} +z $Failed^{-1} -\text{QuantumGroups$\grave{ }$a}^4-4 \text{QuantumGroups$\grave{ }$a}^2-4 $Failed^{-1} - $Failed^{-1} -5}

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