K14a2967

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14a2967

Polynomial invariants

Jones polynomial	Data:K14a2967/Jones Polynomial
Alexander polynomial	$t^{5}-9t^{4}+38t^{3}-97t^{2}+168t-201+168t^{-1}-97t^{-2}+38t^{-3}-9t^{-4}+t^{-5}$
Conway polynomial	Data:K14a2967/Conway Polynomial
Determinant	Data:K14a2967/Determinant
Signature	Data:K14a2967/Signature
HOMFLY-PT polynomial	$a^{2}z^{10}-3a^{4}z^{8}+5a^{2}z^{8}-z^{8}+3a^{6}z^{6}-11a^{4}z^{6}+12a^{2}z^{6}-3z^{6}-a^{8}z^{4}+7a^{6}z^{4}-16a^{4}z^{4}+15a^{2}z^{4}-4z^{4}-a^{8}z^{2}+6a^{6}z^{2}-10a^{4}z^{2}+11a^{2}z^{2}-3z^{2}-a^{8}+2a^{6}-3a^{4}+4a^{2}-1$
Kauffman polynomial	Failed to parse (syntax error): {\displaystyle 5 \text{QuantumGroups$\grave{ }$a}^5 z^{13}+5 \text{QuantumGroups$\grave{ }$a}^3 z^{13}+20 \text{QuantumGroups$\grave{ }$a}^6 z^{12}+41 \text{QuantumGroups$\grave{ }$a}^4 z^{12}+21 \text{QuantumGroups$\grave{ }$a}^2 z^{12}+34 \text{QuantumGroups$\grave{ }$a}^7 z^{11}+77 \text{QuantumGroups$\grave{ }$a}^5 z^{11}+79 \text{QuantumGroups$\grave{ }$a}^3 z^{11}+36 \text{QuantumGroups$\grave{ }$a} z^{11}+32 \text{QuantumGroups$\grave{ }$a}^8 z^{10}+34 \text{QuantumGroups$\grave{ }$a}^6 z^{10}+31 \text{QuantumGroups$\grave{ }$a}^2 z^{10}+33 z^{10}+18 \text{QuantumGroups$\grave{ }$a}^9 z^9-46 \text{QuantumGroups$\grave{ }$a}^7 z^9-189 \text{QuantumGroups$\grave{ }$a}^5 z^9-198 \text{QuantumGroups$\grave{ }$a}^3 z^9-55 \text{QuantumGroups$\grave{ }$a} z^9+18 z^9 $Failed^{-1} +6 \text{QuantumGroups$\grave{ }$a}^{10} z^8-65 \text{QuantumGroups$\grave{ }$a}^8 z^8-171 \text{QuantumGroups$\grave{ }$a}^6 z^8-196 \text{QuantumGroups$\grave{ }$a}^4 z^8-170 \text{QuantumGroups$\grave{ }$a}^2 z^8+6 z^8 $Failed^{-1} -68 z^8+\text{QuantumGroups$\grave{ }$a}^{11} z^7-33 \text{QuantumGroups$\grave{ }$a}^9 z^7-6 \text{QuantumGroups$\grave{ }$a}^7 z^7+131 \text{QuantumGroups$\grave{ }$a}^5 z^7+146 \text{QuantumGroups$\grave{ }$a}^3 z^7+10 \text{QuantumGroups$\grave{ }$a} z^7-32 z^7 $Failed^{-1} +z^7 $Failed^{-1} -8 \text{QuantumGroups$\grave{ }$a}^{10} z^6+53 \text{QuantumGroups$\grave{ }$a}^8 z^6+188 \text{QuantumGroups$\grave{ }$a}^6 z^6+257 \text{QuantumGroups$\grave{ }$a}^4 z^6+195 \text{QuantumGroups$\grave{ }$a}^2 z^6-8 z^6 $Failed^{-1} +57 z^6-\text{QuantumGroups$\grave{ }$a}^{11} z^5+22 \text{QuantumGroups$\grave{ }$a}^9 z^5+31 \text{QuantumGroups$\grave{ }$a}^7 z^5-24 \text{QuantumGroups$\grave{ }$a}^5 z^5-34 \text{QuantumGroups$\grave{ }$a}^3 z^5+19 \text{QuantumGroups$\grave{ }$a} z^5+20 z^5 $Failed^{-1} -z^5 $Failed^{-1} +2 \text{QuantumGroups$\grave{ }$a}^{10} z^4-24 \text{QuantumGroups$\grave{ }$a}^8 z^4-88 \text{QuantumGroups$\grave{ }$a}^6 z^4-134 \text{QuantumGroups$\grave{ }$a}^4 z^4-101 \text{QuantumGroups$\grave{ }$a}^2 z^4+2 z^4 $Failed^{-1} -27 z^4-8 \text{QuantumGroups$\grave{ }$a}^9 z^3-12 \text{QuantumGroups$\grave{ }$a}^7 z^3-\text{QuantumGroups$\grave{ }$a}^5 z^3-2 \text{QuantumGroups$\grave{ }$a}^3 z^3-11 \text{QuantumGroups$\grave{ }$a} z^3-6 z^3 $Failed^{-1} +7 \text{QuantumGroups$\grave{ }$a}^8 z^2+20 \text{QuantumGroups$\grave{ }$a}^6 z^2+32 \text{QuantumGroups$\grave{ }$a}^4 z^2+27 \text{QuantumGroups$\grave{ }$a}^2 z^2+8 z^2+2 \text{QuantumGroups$\grave{ }$a}^9 z+\text{QuantumGroups$\grave{ }$a}^7 z-\text{QuantumGroups$\grave{ }$a}^5 z+\text{QuantumGroups$\grave{ }$a}^3 z+2 \text{QuantumGroups$\grave{ }$a} z+z $Failed^{-1} -\text{QuantumGroups$\grave{ }$a}^8-2 \text{QuantumGroups$\grave{ }$a}^6-3 \text{QuantumGroups$\grave{ }$a}^4-4 \text{QuantumGroups$\grave{ }$a}^2-1}

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