K14a13197

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14a13197

Polynomial invariants

Jones polynomial	Data:K14a13197/Jones Polynomial
Alexander polynomial	$2t^{5}-9t^{4}+26t^{3}-53t^{2}+80t-91+80t^{-1}-53t^{-2}+26t^{-3}-9t^{-4}+2t^{-5}$
Conway polynomial	Data:K14a13197/Conway Polynomial
Determinant	Data:K14a13197/Determinant
Signature	Data:K14a13197/Signature
HOMFLY-PT polynomial	$a^{4}z^{10}+a^{2}z^{10}-a^{6}z^{8}+7a^{4}z^{8}+6a^{2}z^{8}-z^{8}-6a^{6}z^{6}+21a^{4}z^{6}+14a^{2}z^{6}-5z^{6}-14a^{6}z^{4}+32a^{4}z^{4}+15a^{2}z^{4}-10z^{4}-14a^{6}z^{2}+24a^{4}z^{2}+7a^{2}z^{2}-9z^{2}-5a^{6}+7a^{4}+a^{2}-2$
Kauffman polynomial	Failed to parse (syntax error): {\displaystyle 2 \text{QuantumGroups$\grave{ }$a}^5 z^{13}+2 \text{QuantumGroups$\grave{ }$a}^3 z^{13}+6 \text{QuantumGroups$\grave{ }$a}^6 z^{12}+14 \text{QuantumGroups$\grave{ }$a}^4 z^{12}+8 \text{QuantumGroups$\grave{ }$a}^2 z^{12}+9 \text{QuantumGroups$\grave{ }$a}^7 z^{11}+15 \text{QuantumGroups$\grave{ }$a}^5 z^{11}+20 \text{QuantumGroups$\grave{ }$a}^3 z^{11}+14 \text{QuantumGroups$\grave{ }$a} z^{11}+9 \text{QuantumGroups$\grave{ }$a}^8 z^{10}-\text{QuantumGroups$\grave{ }$a}^6 z^{10}-28 \text{QuantumGroups$\grave{ }$a}^4 z^{10}-3 \text{QuantumGroups$\grave{ }$a}^2 z^{10}+15 z^{10}+6 \text{QuantumGroups$\grave{ }$a}^9 z^9-17 \text{QuantumGroups$\grave{ }$a}^7 z^9-47 \text{QuantumGroups$\grave{ }$a}^5 z^9-66 \text{QuantumGroups$\grave{ }$a}^3 z^9-32 \text{QuantumGroups$\grave{ }$a} z^9+10 z^9 $Failed^{-1} +3 \text{QuantumGroups$\grave{ }$a}^{10} z^8-24 \text{QuantumGroups$\grave{ }$a}^8 z^8-18 \text{QuantumGroups$\grave{ }$a}^6 z^8+32 \text{QuantumGroups$\grave{ }$a}^4 z^8-25 \text{QuantumGroups$\grave{ }$a}^2 z^8+4 z^8 $Failed^{-1} -44 z^8+\text{QuantumGroups$\grave{ }$a}^{11} z^7-16 \text{QuantumGroups$\grave{ }$a}^9 z^7+9 \text{QuantumGroups$\grave{ }$a}^7 z^7+63 \text{QuantumGroups$\grave{ }$a}^5 z^7+90 \text{QuantumGroups$\grave{ }$a}^3 z^7+23 \text{QuantumGroups$\grave{ }$a} z^7-29 z^7 $Failed^{-1} +z^7 $Failed^{-1} -9 \text{QuantumGroups$\grave{ }$a}^{10} z^6+29 \text{QuantumGroups$\grave{ }$a}^8 z^6+24 \text{QuantumGroups$\grave{ }$a}^6 z^6-41 \text{QuantumGroups$\grave{ }$a}^4 z^6+35 \text{QuantumGroups$\grave{ }$a}^2 z^6-10 z^6 $Failed^{-1} +52 z^6-4 \text{QuantumGroups$\grave{ }$a}^{11} z^5+14 \text{QuantumGroups$\grave{ }$a}^9 z^5+8 \text{QuantumGroups$\grave{ }$a}^7 z^5-45 \text{QuantumGroups$\grave{ }$a}^5 z^5-68 \text{QuantumGroups$\grave{ }$a}^3 z^5+30 z^5 $Failed^{-1} -3 z^5 $Failed^{-1} +7 \text{QuantumGroups$\grave{ }$a}^{10} z^4-23 \text{QuantumGroups$\grave{ }$a}^8 z^4+53 \text{QuantumGroups$\grave{ }$a}^4 z^4-19 \text{QuantumGroups$\grave{ }$a}^2 z^4+5 z^4 $Failed^{-1} -37 z^4+5 \text{QuantumGroups$\grave{ }$a}^{11} z^3-8 \text{QuantumGroups$\grave{ }$a}^9 z^3-14 \text{QuantumGroups$\grave{ }$a}^7 z^3+23 \text{QuantumGroups$\grave{ }$a}^5 z^3+32 \text{QuantumGroups$\grave{ }$a}^3 z^3-12 \text{QuantumGroups$\grave{ }$a} z^3-18 z^3 $Failed^{-1} +2 z^3 $Failed^{-1} -\text{QuantumGroups$\grave{ }$a}^{10} z^2+7 \text{QuantumGroups$\grave{ }$a}^8 z^2-16 \text{QuantumGroups$\grave{ }$a}^6 z^2-31 \text{QuantumGroups$\grave{ }$a}^4 z^2+6 \text{QuantumGroups$\grave{ }$a}^2 z^2+13 z^2-2 \text{QuantumGroups$\grave{ }$a}^{11} z+3 \text{QuantumGroups$\grave{ }$a}^9 z+3 \text{QuantumGroups$\grave{ }$a}^7 z-7 \text{QuantumGroups$\grave{ }$a}^5 z-5 \text{QuantumGroups$\grave{ }$a}^3 z+4 \text{QuantumGroups$\grave{ }$a} z+4 z $Failed^{-1} +5 \text{QuantumGroups$\grave{ }$a}^6+7 \text{QuantumGroups$\grave{ }$a}^4-\text{QuantumGroups$\grave{ }$a}^2-2}

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