K14a1545

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14a1545

Polynomial invariants

Jones polynomial	Data:K14a1545/Jones Polynomial
Alexander polynomial	$-2t^{4}+17t^{3}-61t^{2}+124t-155+124t^{-1}-61t^{-2}+17t^{-3}-2t^{-4}$
Conway polynomial	Data:K14a1545/Conway Polynomial
Determinant	Data:K14a1545/Determinant
Signature	Data:K14a1545/Signature
HOMFLY-PT polynomial	$z^{2}a^{10}+a^{10}-3z^{4}a^{8}-5z^{2}a^{8}-3a^{8}+3z^{6}a^{6}+6z^{4}a^{6}+6z^{2}a^{6}+3a^{6}-z^{8}a^{4}-z^{6}a^{4}-z^{4}a^{4}-2z^{2}a^{4}-2a^{4}-z^{8}a^{2}-2z^{6}a^{2}-2z^{4}a^{2}+z^{2}a^{2}+2a^{2}+z^{6}+z^{4}$
Kauffman polynomial	Failed to parse (syntax error): {\displaystyle 2 \text{QuantumGroups$\grave{ }$a}^7 z^{13}+2 \text{QuantumGroups$\grave{ }$a}^5 z^{13}+7 \text{QuantumGroups$\grave{ }$a}^8 z^{12}+17 \text{QuantumGroups$\grave{ }$a}^6 z^{12}+10 \text{QuantumGroups$\grave{ }$a}^4 z^{12}+10 \text{QuantumGroups$\grave{ }$a}^9 z^{11}+27 \text{QuantumGroups$\grave{ }$a}^7 z^{11}+40 \text{QuantumGroups$\grave{ }$a}^5 z^{11}+23 \text{QuantumGroups$\grave{ }$a}^3 z^{11}+8 \text{QuantumGroups$\grave{ }$a}^{10} z^{10}+3 \text{QuantumGroups$\grave{ }$a}^8 z^{10}-\text{QuantumGroups$\grave{ }$a}^6 z^{10}+36 \text{QuantumGroups$\grave{ }$a}^4 z^{10}+32 \text{QuantumGroups$\grave{ }$a}^2 z^{10}+4 \text{QuantumGroups$\grave{ }$a}^{11} z^9-24 \text{QuantumGroups$\grave{ }$a}^9 z^9-82 \text{QuantumGroups$\grave{ }$a}^7 z^9-87 \text{QuantumGroups$\grave{ }$a}^5 z^9-4 \text{QuantumGroups$\grave{ }$a}^3 z^9+29 \text{QuantumGroups$\grave{ }$a} z^9+\text{QuantumGroups$\grave{ }$a}^{12} z^8-26 \text{QuantumGroups$\grave{ }$a}^{10} z^8-54 \text{QuantumGroups$\grave{ }$a}^8 z^8-84 \text{QuantumGroups$\grave{ }$a}^6 z^8-116 \text{QuantumGroups$\grave{ }$a}^4 z^8-42 \text{QuantumGroups$\grave{ }$a}^2 z^8+17 z^8-15 \text{QuantumGroups$\grave{ }$a}^{11} z^7+11 \text{QuantumGroups$\grave{ }$a}^9 z^7+81 \text{QuantumGroups$\grave{ }$a}^7 z^7+46 \text{QuantumGroups$\grave{ }$a}^5 z^7-59 \text{QuantumGroups$\grave{ }$a}^3 z^7-44 \text{QuantumGroups$\grave{ }$a} z^7+6 z^7 $Failed^{-1} -4 \text{QuantumGroups$\grave{ }$a}^{12} z^6+28 \text{QuantumGroups$\grave{ }$a}^{10} z^6+83 \text{QuantumGroups$\grave{ }$a}^8 z^6+119 \text{QuantumGroups$\grave{ }$a}^6 z^6+94 \text{QuantumGroups$\grave{ }$a}^4 z^6+4 \text{QuantumGroups$\grave{ }$a}^2 z^6+z^6 $Failed^{-1} -21 z^6+19 \text{QuantumGroups$\grave{ }$a}^{11} z^5+10 \text{QuantumGroups$\grave{ }$a}^9 z^5-35 \text{QuantumGroups$\grave{ }$a}^7 z^5-3 \text{QuantumGroups$\grave{ }$a}^5 z^5+47 \text{QuantumGroups$\grave{ }$a}^3 z^5+20 \text{QuantumGroups$\grave{ }$a} z^5-4 z^5 $Failed^{-1} +5 \text{QuantumGroups$\grave{ }$a}^{12} z^4-13 \text{QuantumGroups$\grave{ }$a}^{10} z^4-56 \text{QuantumGroups$\grave{ }$a}^8 z^4-71 \text{QuantumGroups$\grave{ }$a}^6 z^4-34 \text{QuantumGroups$\grave{ }$a}^4 z^4+6 \text{QuantumGroups$\grave{ }$a}^2 z^4+7 z^4-10 \text{QuantumGroups$\grave{ }$a}^{11} z^3-10 \text{QuantumGroups$\grave{ }$a}^9 z^3+7 \text{QuantumGroups$\grave{ }$a}^7 z^3+2 \text{QuantumGroups$\grave{ }$a}^5 z^3-8 \text{QuantumGroups$\grave{ }$a}^3 z^3-3 \text{QuantumGroups$\grave{ }$a} z^3-2 \text{QuantumGroups$\grave{ }$a}^{12} z^2+4 \text{QuantumGroups$\grave{ }$a}^{10} z^2+20 \text{QuantumGroups$\grave{ }$a}^8 z^2+22 \text{QuantumGroups$\grave{ }$a}^6 z^2+10 \text{QuantumGroups$\grave{ }$a}^4 z^2+2 \text{QuantumGroups$\grave{ }$a}^2 z^2+2 \text{QuantumGroups$\grave{ }$a}^{11} z+3 \text{QuantumGroups$\grave{ }$a}^9 z-\text{QuantumGroups$\grave{ }$a}^7 z-2 \text{QuantumGroups$\grave{ }$a}^5 z-\text{QuantumGroups$\grave{ }$a}^{10}-3 \text{QuantumGroups$\grave{ }$a}^8-3 \text{QuantumGroups$\grave{ }$a}^6-2 \text{QuantumGroups$\grave{ }$a}^4-2 \text{QuantumGroups$\grave{ }$a}^2}

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