K14n11751

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14n11751

Polynomial invariants

Jones polynomial	Data:K14n11751/Jones Polynomial
Alexander polynomial	$2t^{3}-11t^{2}+24t-29+24t^{-1}-11t^{-2}+2t^{-3}$
Conway polynomial	Data:K14n11751/Conway Polynomial
Determinant	Data:K14n11751/Determinant
Signature	Data:K14n11751/Signature
HOMFLY-PT polynomial	$2z^{6}-3a^{2}z^{4}-3z^{4}a^{-2}+z^{4}a^{-4}+6z^{4}+a^{4}z^{2}-5a^{2}z^{2}-6z^{2}a^{-2}+4z^{2}a^{-4}-z^{2}a^{-6}+5z^{2}+a^{4}-a^{2}-2a^{-2}+3a^{-4}-a^{-6}+1$
Kauffman polynomial	Failed to parse (syntax error): {\displaystyle z^{12} $Failed^{-1} +z^{12}+4 \text{QuantumGroups$\grave{ }$a} z^{11}+6 z^{11} $Failed^{-1} +2 z^{11} $Failed^{-1} +6 \text{QuantumGroups$\grave{ }$a}^2 z^{10}+2 z^{10} $Failed^{-1} +z^{10} $Failed^{-1} +7 z^{10}+4 \text{QuantumGroups$\grave{ }$a}^3 z^9-7 \text{QuantumGroups$\grave{ }$a} z^9-22 z^9 $Failed^{-1} -10 z^9 $Failed^{-1} +z^9 $Failed^{-1} +\text{QuantumGroups$\grave{ }$a}^4 z^8-21 \text{QuantumGroups$\grave{ }$a}^2 z^8-31 z^8 $Failed^{-1} -8 z^8 $Failed^{-1} +2 z^8 $Failed^{-1} -43 z^8-16 \text{QuantumGroups$\grave{ }$a}^3 z^7-24 \text{QuantumGroups$\grave{ }$a} z^7+6 z^7 $Failed^{-1} +5 z^7 $Failed^{-1} -8 z^7 $Failed^{-1} +z^7 $Failed^{-1} -4 \text{QuantumGroups$\grave{ }$a}^4 z^6+11 \text{QuantumGroups$\grave{ }$a}^2 z^6+51 z^6 $Failed^{-1} +8 z^6 $Failed^{-1} -12 z^6 $Failed^{-1} +46 z^6+19 \text{QuantumGroups$\grave{ }$a}^3 z^5+39 \text{QuantumGroups$\grave{ }$a} z^5+20 z^5 $Failed^{-1} +13 z^5 $Failed^{-1} +8 z^5 $Failed^{-1} -5 z^5 $Failed^{-1} +6 \text{QuantumGroups$\grave{ }$a}^4 z^4+8 \text{QuantumGroups$\grave{ }$a}^2 z^4-22 z^4 $Failed^{-1} +6 z^4 $Failed^{-1} +15 z^4 $Failed^{-1} -11 z^4-9 \text{QuantumGroups$\grave{ }$a}^3 z^3-12 \text{QuantumGroups$\grave{ }$a} z^3-7 z^3 $Failed^{-1} -9 z^3 $Failed^{-1} +5 z^3 $Failed^{-1} -4 \text{QuantumGroups$\grave{ }$a}^4 z^2-6 \text{QuantumGroups$\grave{ }$a}^2 z^2-2 z^2 $Failed^{-1} -10 z^2 $Failed^{-1} -6 z^2 $Failed^{-1} +\text{QuantumGroups$\grave{ }$a}^3 z-\text{QuantumGroups$\grave{ }$a} z-2 z $Failed^{-1} -z $Failed^{-1} -z $Failed^{-1} +\text{QuantumGroups$\grave{ }$a}^4+\text{QuantumGroups$\grave{ }$a}^2+2 $Failed^{-1} +3 $Failed^{-1} + $Failed^{-1} +1}

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