K14a5675

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14a5675

Polynomial invariants

Jones polynomial	Data:K14a5675/Jones Polynomial
Alexander polynomial	$-2t^{4}+16t^{3}-49t^{2}+91t-111+91t^{-1}-49t^{-2}+16t^{-3}-2t^{-4}$
Conway polynomial	Data:K14a5675/Conway Polynomial
Determinant	Data:K14a5675/Determinant
Signature	Data:K14a5675/Signature
HOMFLY-PT polynomial	$-z^{4}a^{8}-3z^{2}a^{8}-2a^{8}+2z^{6}a^{6}+6z^{4}a^{6}+6z^{2}a^{6}+a^{6}-z^{8}a^{4}-2z^{6}a^{4}+4z^{2}a^{4}+3a^{4}-z^{8}a^{2}-2z^{6}a^{2}-2z^{4}a^{2}-3z^{2}a^{2}-2a^{2}+2z^{6}+5z^{4}+5z^{2}+2-z^{4}a^{-2}-2z^{2}a^{-2}-a^{-2}$
Kauffman polynomial	Failed to parse (syntax error): {\displaystyle 2 \text{QuantumGroups$\grave{ }$a}^5 z^{13}+2 \text{QuantumGroups$\grave{ }$a}^3 z^{13}+7 \text{QuantumGroups$\grave{ }$a}^6 z^{12}+14 \text{QuantumGroups$\grave{ }$a}^4 z^{12}+7 \text{QuantumGroups$\grave{ }$a}^2 z^{12}+10 \text{QuantumGroups$\grave{ }$a}^7 z^{11}+18 \text{QuantumGroups$\grave{ }$a}^5 z^{11}+19 \text{QuantumGroups$\grave{ }$a}^3 z^{11}+11 \text{QuantumGroups$\grave{ }$a} z^{11}+9 \text{QuantumGroups$\grave{ }$a}^8 z^{10}-7 \text{QuantumGroups$\grave{ }$a}^6 z^{10}-26 \text{QuantumGroups$\grave{ }$a}^4 z^{10}+\text{QuantumGroups$\grave{ }$a}^2 z^{10}+11 z^{10}+6 \text{QuantumGroups$\grave{ }$a}^9 z^9-25 \text{QuantumGroups$\grave{ }$a}^7 z^9-70 \text{QuantumGroups$\grave{ }$a}^5 z^9-63 \text{QuantumGroups$\grave{ }$a}^3 z^9-16 \text{QuantumGroups$\grave{ }$a} z^9+8 z^9 $Failed^{-1} +3 \text{QuantumGroups$\grave{ }$a}^{10} z^8-24 \text{QuantumGroups$\grave{ }$a}^8 z^8-11 \text{QuantumGroups$\grave{ }$a}^6 z^8+12 \text{QuantumGroups$\grave{ }$a}^4 z^8-28 \text{QuantumGroups$\grave{ }$a}^2 z^8+4 z^8 $Failed^{-1} -20 z^8+\text{QuantumGroups$\grave{ }$a}^{11} z^7-16 \text{QuantumGroups$\grave{ }$a}^9 z^7+31 \text{QuantumGroups$\grave{ }$a}^7 z^7+120 \text{QuantumGroups$\grave{ }$a}^5 z^7+89 \text{QuantumGroups$\grave{ }$a}^3 z^7-2 \text{QuantumGroups$\grave{ }$a} z^7-18 z^7 $Failed^{-1} +z^7 $Failed^{-1} -9 \text{QuantumGroups$\grave{ }$a}^{10} z^6+28 \text{QuantumGroups$\grave{ }$a}^8 z^6+35 \text{QuantumGroups$\grave{ }$a}^6 z^6+16 \text{QuantumGroups$\grave{ }$a}^4 z^6+31 \text{QuantumGroups$\grave{ }$a}^2 z^6-11 z^6 $Failed^{-1} +2 z^6-4 \text{QuantumGroups$\grave{ }$a}^{11} z^5+13 \text{QuantumGroups$\grave{ }$a}^9 z^5-21 \text{QuantumGroups$\grave{ }$a}^7 z^5-104 \text{QuantumGroups$\grave{ }$a}^5 z^5-70 \text{QuantumGroups$\grave{ }$a}^3 z^5+9 \text{QuantumGroups$\grave{ }$a} z^5+10 z^5 $Failed^{-1} -3 z^5 $Failed^{-1} +7 \text{QuantumGroups$\grave{ }$a}^{10} z^4-23 \text{QuantumGroups$\grave{ }$a}^8 z^4-30 \text{QuantumGroups$\grave{ }$a}^6 z^4-11 \text{QuantumGroups$\grave{ }$a}^4 z^4-10 \text{QuantumGroups$\grave{ }$a}^2 z^4+10 z^4 $Failed^{-1} +11 z^4+5 \text{QuantumGroups$\grave{ }$a}^{11} z^3-6 \text{QuantumGroups$\grave{ }$a}^9 z^3+3 \text{QuantumGroups$\grave{ }$a}^7 z^3+50 \text{QuantumGroups$\grave{ }$a}^5 z^3+33 \text{QuantumGroups$\grave{ }$a}^3 z^3-7 \text{QuantumGroups$\grave{ }$a} z^3-z^3 $Failed^{-1} +3 z^3 $Failed^{-1} -\text{QuantumGroups$\grave{ }$a}^{10} z^2+9 \text{QuantumGroups$\grave{ }$a}^8 z^2+9 \text{QuantumGroups$\grave{ }$a}^6 z^2-\text{QuantumGroups$\grave{ }$a}^4 z^2-5 \text{QuantumGroups$\grave{ }$a}^2 z^2-4 z^2 $Failed^{-1} -9 z^2-2 \text{QuantumGroups$\grave{ }$a}^{11} z+2 \text{QuantumGroups$\grave{ }$a}^9 z-10 \text{QuantumGroups$\grave{ }$a}^5 z-7 \text{QuantumGroups$\grave{ }$a}^3 z-z $Failed^{-1} -2 \text{QuantumGroups$\grave{ }$a}^8-\text{QuantumGroups$\grave{ }$a}^6+3 \text{QuantumGroups$\grave{ }$a}^4+2 \text{QuantumGroups$\grave{ }$a}^2+ $Failed^{-1} +2}

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