K14a3076

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14a3076

Polynomial invariants

Jones polynomial	Data:K14a3076/Jones Polynomial
Alexander polynomial	$2t^{4}-15t^{3}+50t^{2}-95t+117-95t^{-1}+50t^{-2}-15t^{-3}+2t^{-4}$
Conway polynomial	Data:K14a3076/Conway Polynomial
Determinant	Data:K14a3076/Determinant
Signature	Data:K14a3076/Signature
HOMFLY-PT polynomial	$-z^{2}a^{8}-a^{8}+3z^{4}a^{6}+6z^{2}a^{6}+3a^{6}-3z^{6}a^{4}-8z^{4}a^{4}-9z^{2}a^{4}-5a^{4}+z^{8}a^{2}+2z^{6}a^{2}+3z^{4}a^{2}+6z^{2}a^{2}+5a^{2}+z^{8}+3z^{6}+4z^{4}+z^{2}-1-z^{6}a^{-2}-2z^{4}a^{-2}-z^{2}a^{-2}$
Kauffman polynomial	Failed to parse (syntax error): {\displaystyle 2 \text{QuantumGroups$\grave{ }$a}^5 z^{13}+2 \text{QuantumGroups$\grave{ }$a}^3 z^{13}+6 \text{QuantumGroups$\grave{ }$a}^6 z^{12}+16 \text{QuantumGroups$\grave{ }$a}^4 z^{12}+10 \text{QuantumGroups$\grave{ }$a}^2 z^{12}+7 \text{QuantumGroups$\grave{ }$a}^7 z^{11}+18 \text{QuantumGroups$\grave{ }$a}^5 z^{11}+33 \text{QuantumGroups$\grave{ }$a}^3 z^{11}+22 \text{QuantumGroups$\grave{ }$a} z^{11}+4 \text{QuantumGroups$\grave{ }$a}^8 z^{10}-12 \text{QuantumGroups$\grave{ }$a}^6 z^{10}-31 \text{QuantumGroups$\grave{ }$a}^4 z^{10}+15 \text{QuantumGroups$\grave{ }$a}^2 z^{10}+30 z^{10}+\text{QuantumGroups$\grave{ }$a}^9 z^9-31 \text{QuantumGroups$\grave{ }$a}^7 z^9-101 \text{QuantumGroups$\grave{ }$a}^5 z^9-127 \text{QuantumGroups$\grave{ }$a}^3 z^9-28 \text{QuantumGroups$\grave{ }$a} z^9+30 z^9 $Failed^{-1} -20 \text{QuantumGroups$\grave{ }$a}^8 z^8-30 \text{QuantumGroups$\grave{ }$a}^6 z^8-51 \text{QuantumGroups$\grave{ }$a}^4 z^8-114 \text{QuantumGroups$\grave{ }$a}^2 z^8+23 z^8 $Failed^{-1} -50 z^8-5 \text{QuantumGroups$\grave{ }$a}^9 z^7+44 \text{QuantumGroups$\grave{ }$a}^7 z^7+157 \text{QuantumGroups$\grave{ }$a}^5 z^7+142 \text{QuantumGroups$\grave{ }$a}^3 z^7-25 \text{QuantumGroups$\grave{ }$a} z^7-46 z^7 $Failed^{-1} +13 z^7 $Failed^{-1} +34 \text{QuantumGroups$\grave{ }$a}^8 z^6+92 \text{QuantumGroups$\grave{ }$a}^6 z^6+152 \text{QuantumGroups$\grave{ }$a}^4 z^6+142 \text{QuantumGroups$\grave{ }$a}^2 z^6-29 z^6 $Failed^{-1} +5 z^6 $Failed^{-1} +14 z^6+8 \text{QuantumGroups$\grave{ }$a}^9 z^5-24 \text{QuantumGroups$\grave{ }$a}^7 z^5-99 \text{QuantumGroups$\grave{ }$a}^5 z^5-63 \text{QuantumGroups$\grave{ }$a}^3 z^5+34 \text{QuantumGroups$\grave{ }$a} z^5+18 z^5 $Failed^{-1} -11 z^5 $Failed^{-1} +z^5 $Failed^{-1} -25 \text{QuantumGroups$\grave{ }$a}^8 z^4-80 \text{QuantumGroups$\grave{ }$a}^6 z^4-120 \text{QuantumGroups$\grave{ }$a}^4 z^4-77 \text{QuantumGroups$\grave{ }$a}^2 z^4+12 z^4 $Failed^{-1} -2 z^4 $Failed^{-1} +2 z^4-5 \text{QuantumGroups$\grave{ }$a}^9 z^3+4 \text{QuantumGroups$\grave{ }$a}^7 z^3+25 \text{QuantumGroups$\grave{ }$a}^5 z^3+11 \text{QuantumGroups$\grave{ }$a}^3 z^3-10 \text{QuantumGroups$\grave{ }$a} z^3-2 z^3 $Failed^{-1} +3 z^3 $Failed^{-1} +8 \text{QuantumGroups$\grave{ }$a}^8 z^2+27 \text{QuantumGroups$\grave{ }$a}^6 z^2+39 \text{QuantumGroups$\grave{ }$a}^4 z^2+24 \text{QuantumGroups$\grave{ }$a}^2 z^2-2 z^2 $Failed^{-1} +2 z^2+\text{QuantumGroups$\grave{ }$a}^9 z-\text{QuantumGroups$\grave{ }$a}^5 z+\text{QuantumGroups$\grave{ }$a}^3 z+2 \text{QuantumGroups$\grave{ }$a} z+z $Failed^{-1} -\text{QuantumGroups$\grave{ }$a}^8-3 \text{QuantumGroups$\grave{ }$a}^6-5 \text{QuantumGroups$\grave{ }$a}^4-5 \text{QuantumGroups$\grave{ }$a}^2-1}

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