K14a5612

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14a5612

Polynomial invariants

Jones polynomial	Data:K14a5612/Jones Polynomial
Alexander polynomial	$t^{5}-8t^{4}+29t^{3}-63t^{2}+94t-105+94t^{-1}-63t^{-2}+29t^{-3}-8t^{-4}+t^{-5}$
Conway polynomial	Data:K14a5612/Conway Polynomial
Determinant	Data:K14a5612/Determinant
Signature	Data:K14a5612/Signature
HOMFLY-PT polynomial	$z^{10}a^{-2}+6z^{8}a^{-2}-2z^{8}a^{-4}-2z^{8}+a^{2}z^{6}+16z^{6}a^{-2}-8z^{6}a^{-4}+z^{6}a^{-6}-10z^{6}+4a^{2}z^{4}+23z^{4}a^{-2}-10z^{4}a^{-4}+2z^{4}a^{-6}-18z^{4}+4a^{2}z^{2}+15z^{2}a^{-2}-5z^{2}a^{-4}-14z^{2}+a^{2}+3a^{-2}-a^{-4}-2$
Kauffman polynomial	Failed to parse (syntax error): {\displaystyle 3 z^{13} $Failed^{-1} +3 z^{13} $Failed^{-1} +20 z^{12} $Failed^{-1} +12 z^{12} $Failed^{-1} +8 z^{12}+10 \text{QuantumGroups$\grave{ }$a} z^{11}+17 z^{11} $Failed^{-1} +29 z^{11} $Failed^{-1} +22 z^{11} $Failed^{-1} +8 \text{QuantumGroups$\grave{ }$a}^2 z^{10}-45 z^{10} $Failed^{-1} +z^{10} $Failed^{-1} +27 z^{10} $Failed^{-1} -11 z^{10}+4 \text{QuantumGroups$\grave{ }$a}^3 z^9-30 \text{QuantumGroups$\grave{ }$a} z^9-82 z^9 $Failed^{-1} -102 z^9 $Failed^{-1} -29 z^9 $Failed^{-1} +25 z^9 $Failed^{-1} +\text{QuantumGroups$\grave{ }$a}^4 z^8-30 \text{QuantumGroups$\grave{ }$a}^2 z^8+6 z^8 $Failed^{-1} -46 z^8 $Failed^{-1} -39 z^8 $Failed^{-1} +16 z^8 $Failed^{-1} -34 z^8-16 \text{QuantumGroups$\grave{ }$a}^3 z^7+16 \text{QuantumGroups$\grave{ }$a} z^7+105 z^7 $Failed^{-1} +118 z^7 $Failed^{-1} +z^7 $Failed^{-1} -38 z^7 $Failed^{-1} +6 z^7 $Failed^{-1} -4 \text{QuantumGroups$\grave{ }$a}^4 z^6+35 \text{QuantumGroups$\grave{ }$a}^2 z^6+69 z^6 $Failed^{-1} +50 z^6 $Failed^{-1} +2 z^6 $Failed^{-1} -22 z^6 $Failed^{-1} +z^6 $Failed^{-1} +83 z^6+19 \text{QuantumGroups$\grave{ }$a}^3 z^5+17 \text{QuantumGroups$\grave{ }$a} z^5-33 z^5 $Failed^{-1} -41 z^5 $Failed^{-1} +3 z^5 $Failed^{-1} +8 z^5 $Failed^{-1} -5 z^5 $Failed^{-1} +4 \text{QuantumGroups$\grave{ }$a}^4 z^4-21 \text{QuantumGroups$\grave{ }$a}^2 z^4-67 z^4 $Failed^{-1} -18 z^4 $Failed^{-1} +9 z^4 $Failed^{-1} +5 z^4 $Failed^{-1} -70 z^4-10 \text{QuantumGroups$\grave{ }$a}^3 z^3-22 \text{QuantumGroups$\grave{ }$a} z^3-17 z^3 $Failed^{-1} -7 z^3 $Failed^{-1} +2 z^3 $Failed^{-1} +4 z^3 $Failed^{-1} -\text{QuantumGroups$\grave{ }$a}^4 z^2+7 \text{QuantumGroups$\grave{ }$a}^2 z^2+25 z^2 $Failed^{-1} +5 z^2 $Failed^{-1} -z^2 $Failed^{-1} +z^2 $Failed^{-1} +26 z^2+2 \text{QuantumGroups$\grave{ }$a}^3 z+6 \text{QuantumGroups$\grave{ }$a} z+7 z $Failed^{-1} +3 z $Failed^{-1} -z $Failed^{-1} -z $Failed^{-1} -\text{QuantumGroups$\grave{ }$a}^2-3 $Failed^{-1} - $Failed^{-1} -2}

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