K14a7241

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14a7241

Polynomial invariants

Jones polynomial	Data:K14a7241/Jones Polynomial
Alexander polynomial	$10t^{3}-51t^{2}+120t-157+120t^{-1}-51t^{-2}+10t^{-3}$
Conway polynomial	Data:K14a7241/Conway Polynomial
Determinant	Data:K14a7241/Determinant
Signature	Data:K14a7241/Signature
HOMFLY-PT polynomial	$-z^{4}a^{10}-z^{2}a^{10}+z^{6}a^{8}-z^{4}a^{8}-3z^{2}a^{8}-3a^{8}+4z^{6}a^{6}+8z^{4}a^{6}+9z^{2}a^{6}+4a^{6}+4z^{6}a^{4}+6z^{4}a^{4}+3z^{2}a^{4}+z^{6}a^{2}-2z^{4}a^{2}-2z^{2}a^{2}-z^{4}$
Kauffman polynomial	Failed to parse (syntax error): {\displaystyle z^9 \text{QuantumGroups$\grave{ }$a}^{13}-5 z^7 \text{QuantumGroups$\grave{ }$a}^{13}+9 z^5 \text{QuantumGroups$\grave{ }$a}^{13}-7 z^3 \text{QuantumGroups$\grave{ }$a}^{13}+2 z \text{QuantumGroups$\grave{ }$a}^{13}+4 z^{10} \text{QuantumGroups$\grave{ }$a}^{12}-19 z^8 \text{QuantumGroups$\grave{ }$a}^{12}+33 z^6 \text{QuantumGroups$\grave{ }$a}^{12}-25 z^4 \text{QuantumGroups$\grave{ }$a}^{12}+7 z^2 \text{QuantumGroups$\grave{ }$a}^{12}+7 z^{11} \text{QuantumGroups$\grave{ }$a}^{11}-27 z^9 \text{QuantumGroups$\grave{ }$a}^{11}+32 z^7 \text{QuantumGroups$\grave{ }$a}^{11}-7 z^5 \text{QuantumGroups$\grave{ }$a}^{11}-8 z^3 \text{QuantumGroups$\grave{ }$a}^{11}+3 z \text{QuantumGroups$\grave{ }$a}^{11}+6 z^{12} \text{QuantumGroups$\grave{ }$a}^{10}-6 z^{10} \text{QuantumGroups$\grave{ }$a}^{10}-44 z^8 \text{QuantumGroups$\grave{ }$a}^{10}+98 z^6 \text{QuantumGroups$\grave{ }$a}^{10}-68 z^4 \text{QuantumGroups$\grave{ }$a}^{10}+14 z^2 \text{QuantumGroups$\grave{ }$a}^{10}+2 z^{13} \text{QuantumGroups$\grave{ }$a}^9+22 z^{11} \text{QuantumGroups$\grave{ }$a}^9-94 z^9 \text{QuantumGroups$\grave{ }$a}^9+100 z^7 \text{QuantumGroups$\grave{ }$a}^9-12 z^5 \text{QuantumGroups$\grave{ }$a}^9-25 z^3 \text{QuantumGroups$\grave{ }$a}^9+9 z \text{QuantumGroups$\grave{ }$a}^9+17 z^{12} \text{QuantumGroups$\grave{ }$a}^8-11 z^{10} \text{QuantumGroups$\grave{ }$a}^8-115 z^8 \text{QuantumGroups$\grave{ }$a}^8+202 z^6 \text{QuantumGroups$\grave{ }$a}^8-117 z^4 \text{QuantumGroups$\grave{ }$a}^8+27 z^2 \text{QuantumGroups$\grave{ }$a}^8-3 \text{QuantumGroups$\grave{ }$a}^8+2 z^{13} \text{QuantumGroups$\grave{ }$a}^7+43 z^{11} \text{QuantumGroups$\grave{ }$a}^7-123 z^9 \text{QuantumGroups$\grave{ }$a}^7+51 z^7 \text{QuantumGroups$\grave{ }$a}^7+68 z^5 \text{QuantumGroups$\grave{ }$a}^7-57 z^3 \text{QuantumGroups$\grave{ }$a}^7+13 z \text{QuantumGroups$\grave{ }$a}^7+11 z^{12} \text{QuantumGroups$\grave{ }$a}^6+41 z^{10} \text{QuantumGroups$\grave{ }$a}^6-191 z^8 \text{QuantumGroups$\grave{ }$a}^6+202 z^6 \text{QuantumGroups$\grave{ }$a}^6-89 z^4 \text{QuantumGroups$\grave{ }$a}^6+22 z^2 \text{QuantumGroups$\grave{ }$a}^6-4 \text{QuantumGroups$\grave{ }$a}^6+28 z^{11} \text{QuantumGroups$\grave{ }$a}^5-16 z^9 \text{QuantumGroups$\grave{ }$a}^5-97 z^7 \text{QuantumGroups$\grave{ }$a}^5+119 z^5 \text{QuantumGroups$\grave{ }$a}^5-49 z^3 \text{QuantumGroups$\grave{ }$a}^5+7 z \text{QuantumGroups$\grave{ }$a}^5+42 z^{10} \text{QuantumGroups$\grave{ }$a}^4-73 z^8 \text{QuantumGroups$\grave{ }$a}^4+25 z^6 \text{QuantumGroups$\grave{ }$a}^4+4 z^4 \text{QuantumGroups$\grave{ }$a}^4-2 z^2 \text{QuantumGroups$\grave{ }$a}^4+41 z^9 \text{QuantumGroups$\grave{ }$a}^3-71 z^7 \text{QuantumGroups$\grave{ }$a}^3+45 z^5 \text{QuantumGroups$\grave{ }$a}^3-14 z^3 \text{QuantumGroups$\grave{ }$a}^3+2 z \text{QuantumGroups$\grave{ }$a}^3+28 z^8 \text{QuantumGroups$\grave{ }$a}^2-35 z^6 \text{QuantumGroups$\grave{ }$a}^2+18 z^4 \text{QuantumGroups$\grave{ }$a}^2-4 z^2 \text{QuantumGroups$\grave{ }$a}^2+14 z^7 \text{QuantumGroups$\grave{ }$a}-9 z^5 \text{QuantumGroups$\grave{ }$a}+2 z^3 \text{QuantumGroups$\grave{ }$a}+5 z^6-z^4+z^5 $Failed^{-1} }

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