K14a7476

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14a7476

Polynomial invariants

Jones polynomial	Data:K14a7476/Jones Polynomial
Alexander polynomial	$-2t^{4}+16t^{3}-54t^{2}+106t-131+106t^{-1}-54t^{-2}+16t^{-3}-2t^{-4}$
Conway polynomial	Data:K14a7476/Conway Polynomial
Determinant	Data:K14a7476/Determinant
Signature	Data:K14a7476/Signature
HOMFLY-PT polynomial	$z^{2}a^{10}+a^{10}-3z^{4}a^{8}-5z^{2}a^{8}-2a^{8}+3z^{6}a^{6}+6z^{4}a^{6}+3z^{2}a^{6}-a^{6}-z^{8}a^{4}-z^{6}a^{4}+2z^{4}a^{4}+5z^{2}a^{4}+3a^{4}-z^{8}a^{2}-3z^{6}a^{2}-5z^{4}a^{2}-3z^{2}a^{2}+z^{6}+2z^{4}+z^{2}$
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}+16 \text{QuantumGroups$\grave{ }$a}^6 z^{12}+9 \text{QuantumGroups$\grave{ }$a}^4 z^{12}+10 \text{QuantumGroups$\grave{ }$a}^9 z^{11}+24 \text{QuantumGroups$\grave{ }$a}^7 z^{11}+32 \text{QuantumGroups$\grave{ }$a}^5 z^{11}+18 \text{QuantumGroups$\grave{ }$a}^3 z^{11}+8 \text{QuantumGroups$\grave{ }$a}^{10} z^{10}-2 \text{QuantumGroups$\grave{ }$a}^8 z^{10}-15 \text{QuantumGroups$\grave{ }$a}^6 z^{10}+17 \text{QuantumGroups$\grave{ }$a}^4 z^{10}+22 \text{QuantumGroups$\grave{ }$a}^2 z^{10}+4 \text{QuantumGroups$\grave{ }$a}^{11} z^9-28 \text{QuantumGroups$\grave{ }$a}^9 z^9-92 \text{QuantumGroups$\grave{ }$a}^7 z^9-97 \text{QuantumGroups$\grave{ }$a}^5 z^9-18 \text{QuantumGroups$\grave{ }$a}^3 z^9+19 \text{QuantumGroups$\grave{ }$a} z^9+\text{QuantumGroups$\grave{ }$a}^{12} z^8-27 \text{QuantumGroups$\grave{ }$a}^{10} z^8-45 \text{QuantumGroups$\grave{ }$a}^8 z^8-58 \text{QuantumGroups$\grave{ }$a}^6 z^8-88 \text{QuantumGroups$\grave{ }$a}^4 z^8-35 \text{QuantumGroups$\grave{ }$a}^2 z^8+12 z^8-15 \text{QuantumGroups$\grave{ }$a}^{11} z^7+24 \text{QuantumGroups$\grave{ }$a}^9 z^7+128 \text{QuantumGroups$\grave{ }$a}^7 z^7+108 \text{QuantumGroups$\grave{ }$a}^5 z^7-17 \text{QuantumGroups$\grave{ }$a}^3 z^7-31 \text{QuantumGroups$\grave{ }$a} z^7+5 z^7 $Failed^{-1} -4 \text{QuantumGroups$\grave{ }$a}^{12} z^6+29 \text{QuantumGroups$\grave{ }$a}^{10} z^6+78 \text{QuantumGroups$\grave{ }$a}^8 z^6+123 \text{QuantumGroups$\grave{ }$a}^6 z^6+112 \text{QuantumGroups$\grave{ }$a}^4 z^6+14 \text{QuantumGroups$\grave{ }$a}^2 z^6+z^6 $Failed^{-1} -19 z^6+18 \text{QuantumGroups$\grave{ }$a}^{11} z^5-15 \text{QuantumGroups$\grave{ }$a}^9 z^5-104 \text{QuantumGroups$\grave{ }$a}^7 z^5-64 \text{QuantumGroups$\grave{ }$a}^5 z^5+29 \text{QuantumGroups$\grave{ }$a}^3 z^5+15 \text{QuantumGroups$\grave{ }$a} z^5-7 z^5 $Failed^{-1} +5 \text{QuantumGroups$\grave{ }$a}^{12} z^4-14 \text{QuantumGroups$\grave{ }$a}^{10} z^4-62 \text{QuantumGroups$\grave{ }$a}^8 z^4-94 \text{QuantumGroups$\grave{ }$a}^6 z^4-57 \text{QuantumGroups$\grave{ }$a}^4 z^4+4 \text{QuantumGroups$\grave{ }$a}^2 z^4-z^4 $Failed^{-1} +9 z^4-8 \text{QuantumGroups$\grave{ }$a}^{11} z^3+11 \text{QuantumGroups$\grave{ }$a}^9 z^3+50 \text{QuantumGroups$\grave{ }$a}^7 z^3+30 \text{QuantumGroups$\grave{ }$a}^5 z^3-5 \text{QuantumGroups$\grave{ }$a}^3 z^3-2 \text{QuantumGroups$\grave{ }$a} z^3+2 z^3 $Failed^{-1} -2 \text{QuantumGroups$\grave{ }$a}^{12} z^2+5 \text{QuantumGroups$\grave{ }$a}^{10} z^2+23 \text{QuantumGroups$\grave{ }$a}^8 z^2+24 \text{QuantumGroups$\grave{ }$a}^6 z^2+8 \text{QuantumGroups$\grave{ }$a}^4 z^2-2 \text{QuantumGroups$\grave{ }$a}^2 z^2-2 z^2+\text{QuantumGroups$\grave{ }$a}^{11} z-3 \text{QuantumGroups$\grave{ }$a}^9 z-13 \text{QuantumGroups$\grave{ }$a}^7 z-11 \text{QuantumGroups$\grave{ }$a}^5 z-2 \text{QuantumGroups$\grave{ }$a}^3 z-\text{QuantumGroups$\grave{ }$a}^{10}-2 \text{QuantumGroups$\grave{ }$a}^8+\text{QuantumGroups$\grave{ }$a}^6+3 \text{QuantumGroups$\grave{ }$a}^4}

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