K14n11564

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14n11564

Polynomial invariants

Jones polynomial	Data:K14n11564/Jones Polynomial
Alexander polynomial	$-t^{4}+10t^{3}-33t^{2}+63t-77+63t^{-1}-33t^{-2}+10t^{-3}-t^{-4}$
Conway polynomial	Data:K14n11564/Conway Polynomial
Determinant	Data:K14n11564/Determinant
Signature	Data:K14n11564/Signature
HOMFLY-PT polynomial	$-z^{4}a^{8}-2z^{2}a^{8}-a^{8}+2z^{6}a^{6}+5z^{4}a^{6}+4z^{2}a^{6}+a^{6}-z^{8}a^{4}-3z^{6}a^{4}-4z^{4}a^{4}-3z^{2}a^{4}-2a^{4}+3z^{6}a^{2}+9z^{4}a^{2}+10z^{2}a^{2}+5a^{2}-2z^{4}-4z^{2}-2$
Kauffman polynomial	Failed to parse (syntax error): {\displaystyle 3 \text{QuantumGroups$\grave{ }$a}^6 z^{12}+3 \text{QuantumGroups$\grave{ }$a}^4 z^{12}+9 \text{QuantumGroups$\grave{ }$a}^7 z^{11}+17 \text{QuantumGroups$\grave{ }$a}^5 z^{11}+8 \text{QuantumGroups$\grave{ }$a}^3 z^{11}+12 \text{QuantumGroups$\grave{ }$a}^8 z^{10}+14 \text{QuantumGroups$\grave{ }$a}^6 z^{10}+11 \text{QuantumGroups$\grave{ }$a}^4 z^{10}+9 \text{QuantumGroups$\grave{ }$a}^2 z^{10}+9 \text{QuantumGroups$\grave{ }$a}^9 z^9-15 \text{QuantumGroups$\grave{ }$a}^7 z^9-45 \text{QuantumGroups$\grave{ }$a}^5 z^9-16 \text{QuantumGroups$\grave{ }$a}^3 z^9+5 \text{QuantumGroups$\grave{ }$a} z^9+4 \text{QuantumGroups$\grave{ }$a}^{10} z^8-35 \text{QuantumGroups$\grave{ }$a}^8 z^8-62 \text{QuantumGroups$\grave{ }$a}^6 z^8-48 \text{QuantumGroups$\grave{ }$a}^4 z^8-24 \text{QuantumGroups$\grave{ }$a}^2 z^8+z^8+\text{QuantumGroups$\grave{ }$a}^{11} z^7-27 \text{QuantumGroups$\grave{ }$a}^9 z^7-7 \text{QuantumGroups$\grave{ }$a}^7 z^7+49 \text{QuantumGroups$\grave{ }$a}^5 z^7+21 \text{QuantumGroups$\grave{ }$a}^3 z^7-7 \text{QuantumGroups$\grave{ }$a} z^7-11 \text{QuantumGroups$\grave{ }$a}^{10} z^6+37 \text{QuantumGroups$\grave{ }$a}^8 z^6+83 \text{QuantumGroups$\grave{ }$a}^6 z^6+77 \text{QuantumGroups$\grave{ }$a}^4 z^6+48 \text{QuantumGroups$\grave{ }$a}^2 z^6+6 z^6-3 \text{QuantumGroups$\grave{ }$a}^{11} z^5+27 \text{QuantumGroups$\grave{ }$a}^9 z^5+23 \text{QuantumGroups$\grave{ }$a}^7 z^5-26 \text{QuantumGroups$\grave{ }$a}^5 z^5-8 \text{QuantumGroups$\grave{ }$a}^3 z^5+14 \text{QuantumGroups$\grave{ }$a} z^5+3 z^5 $Failed^{-1} +7 \text{QuantumGroups$\grave{ }$a}^{10} z^4-25 \text{QuantumGroups$\grave{ }$a}^8 z^4-52 \text{QuantumGroups$\grave{ }$a}^6 z^4-55 \text{QuantumGroups$\grave{ }$a}^4 z^4-48 \text{QuantumGroups$\grave{ }$a}^2 z^4-13 z^4+2 \text{QuantumGroups$\grave{ }$a}^{11} z^3-16 \text{QuantumGroups$\grave{ }$a}^9 z^3-16 \text{QuantumGroups$\grave{ }$a}^7 z^3+10 \text{QuantumGroups$\grave{ }$a}^5 z^3-4 \text{QuantumGroups$\grave{ }$a}^3 z^3-18 \text{QuantumGroups$\grave{ }$a} z^3-6 z^3 $Failed^{-1} -\text{QuantumGroups$\grave{ }$a}^{10} z^2+8 \text{QuantumGroups$\grave{ }$a}^8 z^2+15 \text{QuantumGroups$\grave{ }$a}^6 z^2+18 \text{QuantumGroups$\grave{ }$a}^4 z^2+20 \text{QuantumGroups$\grave{ }$a}^2 z^2+8 z^2+4 \text{QuantumGroups$\grave{ }$a}^9 z+3 \text{QuantumGroups$\grave{ }$a}^7 z-\text{QuantumGroups$\grave{ }$a}^5 z+3 \text{QuantumGroups$\grave{ }$a}^3 z+6 \text{QuantumGroups$\grave{ }$a} z+3 z $Failed^{-1} -\text{QuantumGroups$\grave{ }$a}^8-\text{QuantumGroups$\grave{ }$a}^6-2 \text{QuantumGroups$\grave{ }$a}^4-5 \text{QuantumGroups$\grave{ }$a}^2-2}

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