K14a17946

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14a17946

Polynomial invariants

Jones polynomial	Data:K14a17946/Jones Polynomial
Alexander polynomial	$-4t^{4}+23t^{3}-61t^{2}+104t-123+104t^{-1}-61t^{-2}+23t^{-3}-4t^{-4}$
Conway polynomial	Data:K14a17946/Conway Polynomial
Determinant	Data:K14a17946/Determinant
Signature	Data:K14a17946/Signature
HOMFLY-PT polynomial	$z^{6}a^{8}+3z^{4}a^{8}+2z^{2}a^{8}-z^{8}a^{6}-3z^{6}a^{6}-4z^{4}a^{6}-4z^{2}a^{6}-2a^{6}-2z^{8}a^{4}-6z^{6}a^{4}-3z^{4}a^{4}+5z^{2}a^{4}+3a^{4}-z^{8}a^{2}-2z^{6}a^{2}-z^{4}a^{2}-z^{2}a^{2}+z^{6}+2z^{4}+z^{2}$
Kauffman polynomial	Failed to parse (syntax error): {\displaystyle 3 \text{QuantumGroups$\grave{ }$a}^7 z^{13}+3 \text{QuantumGroups$\grave{ }$a}^5 z^{13}+8 \text{QuantumGroups$\grave{ }$a}^8 z^{12}+20 \text{QuantumGroups$\grave{ }$a}^6 z^{12}+12 \text{QuantumGroups$\grave{ }$a}^4 z^{12}+10 \text{QuantumGroups$\grave{ }$a}^9 z^{11}+17 \text{QuantumGroups$\grave{ }$a}^7 z^{11}+31 \text{QuantumGroups$\grave{ }$a}^5 z^{11}+24 \text{QuantumGroups$\grave{ }$a}^3 z^{11}+8 \text{QuantumGroups$\grave{ }$a}^{10} z^{10}-12 \text{QuantumGroups$\grave{ }$a}^8 z^{10}-40 \text{QuantumGroups$\grave{ }$a}^6 z^{10}+9 \text{QuantumGroups$\grave{ }$a}^4 z^{10}+29 \text{QuantumGroups$\grave{ }$a}^2 z^{10}+4 \text{QuantumGroups$\grave{ }$a}^{11} z^9-31 \text{QuantumGroups$\grave{ }$a}^9 z^9-74 \text{QuantumGroups$\grave{ }$a}^7 z^9-102 \text{QuantumGroups$\grave{ }$a}^5 z^9-40 \text{QuantumGroups$\grave{ }$a}^3 z^9+23 \text{QuantumGroups$\grave{ }$a} z^9+\text{QuantumGroups$\grave{ }$a}^{12} z^8-30 \text{QuantumGroups$\grave{ }$a}^{10} z^8-14 \text{QuantumGroups$\grave{ }$a}^8 z^8+6 \text{QuantumGroups$\grave{ }$a}^6 z^8-86 \text{QuantumGroups$\grave{ }$a}^4 z^8-62 \text{QuantumGroups$\grave{ }$a}^2 z^8+13 z^8-16 \text{QuantumGroups$\grave{ }$a}^{11} z^7+33 \text{QuantumGroups$\grave{ }$a}^9 z^7+106 \text{QuantumGroups$\grave{ }$a}^7 z^7+115 \text{QuantumGroups$\grave{ }$a}^5 z^7+11 \text{QuantumGroups$\grave{ }$a}^3 z^7-42 \text{QuantumGroups$\grave{ }$a} z^7+5 z^7 $Failed^{-1} -4 \text{QuantumGroups$\grave{ }$a}^{12} z^6+39 \text{QuantumGroups$\grave{ }$a}^{10} z^6+38 \text{QuantumGroups$\grave{ }$a}^8 z^6+41 \text{QuantumGroups$\grave{ }$a}^6 z^6+122 \text{QuantumGroups$\grave{ }$a}^4 z^6+56 \text{QuantumGroups$\grave{ }$a}^2 z^6+z^6 $Failed^{-1} -19 z^6+20 \text{QuantumGroups$\grave{ }$a}^{11} z^5-19 \text{QuantumGroups$\grave{ }$a}^9 z^5-85 \text{QuantumGroups$\grave{ }$a}^7 z^5-61 \text{QuantumGroups$\grave{ }$a}^5 z^5+18 \text{QuantumGroups$\grave{ }$a}^3 z^5+27 \text{QuantumGroups$\grave{ }$a} z^5-6 z^5 $Failed^{-1} +4 \text{QuantumGroups$\grave{ }$a}^{12} z^4-23 \text{QuantumGroups$\grave{ }$a}^{10} z^4-36 \text{QuantumGroups$\grave{ }$a}^8 z^4-38 \text{QuantumGroups$\grave{ }$a}^6 z^4-63 \text{QuantumGroups$\grave{ }$a}^4 z^4-26 \text{QuantumGroups$\grave{ }$a}^2 z^4-z^4 $Failed^{-1} +7 z^4-8 \text{QuantumGroups$\grave{ }$a}^{11} z^3+5 \text{QuantumGroups$\grave{ }$a}^9 z^3+37 \text{QuantumGroups$\grave{ }$a}^7 z^3+26 \text{QuantumGroups$\grave{ }$a}^5 z^3-7 \text{QuantumGroups$\grave{ }$a}^3 z^3-8 \text{QuantumGroups$\grave{ }$a} z^3+z^3 $Failed^{-1} +5 \text{QuantumGroups$\grave{ }$a}^{10} z^2+11 \text{QuantumGroups$\grave{ }$a}^8 z^2+8 \text{QuantumGroups$\grave{ }$a}^6 z^2+7 \text{QuantumGroups$\grave{ }$a}^4 z^2+4 \text{QuantumGroups$\grave{ }$a}^2 z^2-z^2-\text{QuantumGroups$\grave{ }$a}^9 z-7 \text{QuantumGroups$\grave{ }$a}^7 z-8 \text{QuantumGroups$\grave{ }$a}^5 z-2 \text{QuantumGroups$\grave{ }$a}^3 z+2 \text{QuantumGroups$\grave{ }$a}^6+3 \text{QuantumGroups$\grave{ }$a}^4}

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