K14n5561

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14n5561

Polynomial invariants

Jones polynomial	Data:K14n5561/Jones Polynomial
Alexander polynomial	$-2t^{4}+11t^{3}-29t^{2}+50t-59+50t^{-1}-29t^{-2}+11t^{-3}-2t^{-4}$
Conway polynomial	Data:K14n5561/Conway Polynomial
Determinant	Data:K14n5561/Determinant
Signature	Data:K14n5561/Signature
HOMFLY-PT polynomial	$-2z^{8}a^{-4}+4z^{6}a^{-2}-12z^{6}a^{-4}+3z^{6}a^{-6}+17z^{4}a^{-2}-30z^{4}a^{-4}+13z^{4}a^{-6}-z^{4}a^{-8}-2z^{4}+25z^{2}a^{-2}-35z^{2}a^{-4}+19z^{2}a^{-6}-3z^{2}a^{-8}-5z^{2}+13a^{-2}-16a^{-4}+9a^{-6}-2a^{-8}-3$
Kauffman polynomial	Failed to parse (syntax error): {\displaystyle z^{12} $Failed^{-1} +z^{12} $Failed^{-1} +5 z^{11} $Failed^{-1} +9 z^{11} $Failed^{-1} +4 z^{11} $Failed^{-1} +8 z^{10} $Failed^{-1} +18 z^{10} $Failed^{-1} +17 z^{10} $Failed^{-1} +7 z^{10} $Failed^{-1} +5 z^9 $Failed^{-1} -3 z^9 $Failed^{-1} -8 z^9 $Failed^{-1} +7 z^9 $Failed^{-1} +7 z^9 $Failed^{-1} -27 z^8 $Failed^{-1} -72 z^8 $Failed^{-1} -61 z^8 $Failed^{-1} -13 z^8 $Failed^{-1} +4 z^8 $Failed^{-1} +z^8-11 z^7 $Failed^{-1} -20 z^7 $Failed^{-1} -42 z^7 $Failed^{-1} -55 z^7 $Failed^{-1} -21 z^7 $Failed^{-1} +z^7 $Failed^{-1} +63 z^6 $Failed^{-1} +128 z^6 $Failed^{-1} +78 z^6 $Failed^{-1} -6 z^6 $Failed^{-1} -13 z^6 $Failed^{-1} +6 z^6+3 \text{QuantumGroups$\grave{ }$a} z^5+23 z^5 $Failed^{-1} +63 z^5 $Failed^{-1} +104 z^5 $Failed^{-1} +83 z^5 $Failed^{-1} +19 z^5 $Failed^{-1} -3 z^5 $Failed^{-1} -78 z^4 $Failed^{-1} -116 z^4 $Failed^{-1} -51 z^4 $Failed^{-1} +15 z^4 $Failed^{-1} +12 z^4 $Failed^{-1} -16 z^4-6 \text{QuantumGroups$\grave{ }$a} z^3-30 z^3 $Failed^{-1} -64 z^3 $Failed^{-1} -84 z^3 $Failed^{-1} -57 z^3 $Failed^{-1} -11 z^3 $Failed^{-1} +2 z^3 $Failed^{-1} +46 z^2 $Failed^{-1} +62 z^2 $Failed^{-1} +26 z^2 $Failed^{-1} -5 z^2 $Failed^{-1} -4 z^2 $Failed^{-1} +11 z^2+3 \text{QuantumGroups$\grave{ }$a} z+11 z $Failed^{-1} +22 z $Failed^{-1} +26 z $Failed^{-1} +16 z $Failed^{-1} +4 z $Failed^{-1} -13 $Failed^{-1} -16 $Failed^{-1} -9 $Failed^{-1} -2 $Failed^{-1} -3}

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