K14n12503

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14n12503

Polynomial invariants

Jones polynomial	Data:K14n12503/Jones Polynomial
Alexander polynomial	$3t^{3}-21t^{2}+55t-73+55t^{-1}-21t^{-2}+3t^{-3}$
Conway polynomial	Data:K14n12503/Conway Polynomial
Determinant	Data:K14n12503/Determinant
Signature	Data:K14n12503/Signature
HOMFLY-PT polynomial	$z^{2}a^{8}+a^{8}-2z^{4}a^{6}-2z^{2}a^{6}-a^{6}+z^{6}a^{4}-z^{4}a^{4}-3z^{2}a^{4}-2a^{4}+2z^{6}a^{2}+4z^{4}a^{2}+6z^{2}a^{2}+4a^{2}-4z^{4}-6z^{2}-2+2z^{2}a^{-2}+a^{-2}$
Kauffman polynomial	Failed to parse (syntax error): {\displaystyle 2 \text{QuantumGroups$\grave{ }$a}^4 z^{12}+2 \text{QuantumGroups$\grave{ }$a}^2 z^{12}+5 \text{QuantumGroups$\grave{ }$a}^5 z^{11}+10 \text{QuantumGroups$\grave{ }$a}^3 z^{11}+5 \text{QuantumGroups$\grave{ }$a} z^{11}+8 \text{QuantumGroups$\grave{ }$a}^6 z^{10}+5 \text{QuantumGroups$\grave{ }$a}^4 z^{10}+\text{QuantumGroups$\grave{ }$a}^2 z^{10}+4 z^{10}+9 \text{QuantumGroups$\grave{ }$a}^7 z^9-2 \text{QuantumGroups$\grave{ }$a}^5 z^9-31 \text{QuantumGroups$\grave{ }$a}^3 z^9-19 \text{QuantumGroups$\grave{ }$a} z^9+z^9 $Failed^{-1} +6 \text{QuantumGroups$\grave{ }$a}^8 z^8-15 \text{QuantumGroups$\grave{ }$a}^6 z^8-16 \text{QuantumGroups$\grave{ }$a}^4 z^8-5 \text{QuantumGroups$\grave{ }$a}^2 z^8-10 z^8+3 \text{QuantumGroups$\grave{ }$a}^9 z^7-25 \text{QuantumGroups$\grave{ }$a}^7 z^7-18 \text{QuantumGroups$\grave{ }$a}^5 z^7+59 \text{QuantumGroups$\grave{ }$a}^3 z^7+54 \text{QuantumGroups$\grave{ }$a} z^7+5 z^7 $Failed^{-1} +\text{QuantumGroups$\grave{ }$a}^{10} z^6-14 \text{QuantumGroups$\grave{ }$a}^8 z^6+6 \text{QuantumGroups$\grave{ }$a}^6 z^6+17 \text{QuantumGroups$\grave{ }$a}^4 z^6+10 \text{QuantumGroups$\grave{ }$a}^2 z^6+3 z^6 $Failed^{-1} +17 z^6-7 \text{QuantumGroups$\grave{ }$a}^9 z^5+34 \text{QuantumGroups$\grave{ }$a}^7 z^5+42 \text{QuantumGroups$\grave{ }$a}^5 z^5-62 \text{QuantumGroups$\grave{ }$a}^3 z^5-83 \text{QuantumGroups$\grave{ }$a} z^5-20 z^5 $Failed^{-1} -3 \text{QuantumGroups$\grave{ }$a}^{10} z^4+11 \text{QuantumGroups$\grave{ }$a}^8 z^4+14 \text{QuantumGroups$\grave{ }$a}^6 z^4-2 \text{QuantumGroups$\grave{ }$a}^4 z^4-19 \text{QuantumGroups$\grave{ }$a}^2 z^4-8 z^4 $Failed^{-1} -25 z^4+3 \text{QuantumGroups$\grave{ }$a}^9 z^3-25 \text{QuantumGroups$\grave{ }$a}^7 z^3-30 \text{QuantumGroups$\grave{ }$a}^5 z^3+27 \text{QuantumGroups$\grave{ }$a}^3 z^3+46 \text{QuantumGroups$\grave{ }$a} z^3+17 z^3 $Failed^{-1} +2 \text{QuantumGroups$\grave{ }$a}^{10} z^2-6 \text{QuantumGroups$\grave{ }$a}^8 z^2-11 \text{QuantumGroups$\grave{ }$a}^6 z^2+\text{QuantumGroups$\grave{ }$a}^4 z^2+11 \text{QuantumGroups$\grave{ }$a}^2 z^2+6 z^2 $Failed^{-1} +13 z^2+6 \text{QuantumGroups$\grave{ }$a}^7 z+9 \text{QuantumGroups$\grave{ }$a}^5 z-\text{QuantumGroups$\grave{ }$a}^3 z-7 \text{QuantumGroups$\grave{ }$a} z-3 z $Failed^{-1} +\text{QuantumGroups$\grave{ }$a}^8+\text{QuantumGroups$\grave{ }$a}^6-2 \text{QuantumGroups$\grave{ }$a}^4-4 \text{QuantumGroups$\grave{ }$a}^2- $Failed^{-1} -2}

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