K14a6100

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14a6100

Polynomial invariants

Jones polynomial	Data:K14a6100/Jones Polynomial
Alexander polynomial	$t^{5}-7t^{4}+24t^{3}-49t^{2}+70t-77+70t^{-1}-49t^{-2}+24t^{-3}-7t^{-4}+t^{-5}$
Conway polynomial	Data:K14a6100/Conway Polynomial
Determinant	Data:K14a6100/Determinant
Signature	Data:K14a6100/Signature
HOMFLY-PT polynomial	$a^{2}z^{10}-a^{4}z^{8}+7a^{2}z^{8}-3z^{8}-5a^{4}z^{6}+21a^{2}z^{6}+3z^{6}a^{-2}-16z^{6}-9a^{4}z^{4}+33a^{2}z^{4}+12z^{4}a^{-2}-z^{4}a^{-4}-30z^{4}-8a^{4}z^{2}+25a^{2}z^{2}+14z^{2}a^{-2}-3z^{2}a^{-4}-25z^{2}-3a^{4}+8a^{2}+6a^{-2}-2a^{-4}-8$
Kauffman polynomial	Failed to parse (syntax error): {\displaystyle 2 \text{QuantumGroups$\grave{ }$a} z^{13}+2 z^{13} $Failed^{-1} +9 \text{QuantumGroups$\grave{ }$a}^2 z^{12}+6 z^{12} $Failed^{-1} +15 z^{12}+18 \text{QuantumGroups$\grave{ }$a}^3 z^{11}+27 \text{QuantumGroups$\grave{ }$a} z^{11}+16 z^{11} $Failed^{-1} +7 z^{11} $Failed^{-1} +22 \text{QuantumGroups$\grave{ }$a}^4 z^{10}+3 \text{QuantumGroups$\grave{ }$a}^2 z^{10}-12 z^{10} $Failed^{-1} +4 z^{10} $Failed^{-1} -35 z^{10}+20 \text{QuantumGroups$\grave{ }$a}^5 z^9-41 \text{QuantumGroups$\grave{ }$a}^3 z^9-126 \text{QuantumGroups$\grave{ }$a} z^9-95 z^9 $Failed^{-1} -29 z^9 $Failed^{-1} +z^9 $Failed^{-1} +15 \text{QuantumGroups$\grave{ }$a}^6 z^8-54 \text{QuantumGroups$\grave{ }$a}^4 z^8-97 \text{QuantumGroups$\grave{ }$a}^2 z^8-31 z^8 $Failed^{-1} -19 z^8 $Failed^{-1} -40 z^8+9 \text{QuantumGroups$\grave{ }$a}^7 z^7-40 \text{QuantumGroups$\grave{ }$a}^5 z^7+19 \text{QuantumGroups$\grave{ }$a}^3 z^7+173 \text{QuantumGroups$\grave{ }$a} z^7+144 z^7 $Failed^{-1} +34 z^7 $Failed^{-1} -5 z^7 $Failed^{-1} +4 \text{QuantumGroups$\grave{ }$a}^8 z^6-24 \text{QuantumGroups$\grave{ }$a}^6 z^6+53 \text{QuantumGroups$\grave{ }$a}^4 z^6+179 \text{QuantumGroups$\grave{ }$a}^2 z^6+88 z^6 $Failed^{-1} +31 z^6 $Failed^{-1} +155 z^6+\text{QuantumGroups$\grave{ }$a}^9 z^5-11 \text{QuantumGroups$\grave{ }$a}^7 z^5+30 \text{QuantumGroups$\grave{ }$a}^5 z^5+14 \text{QuantumGroups$\grave{ }$a}^3 z^5-95 \text{QuantumGroups$\grave{ }$a} z^5-86 z^5 $Failed^{-1} -10 z^5 $Failed^{-1} +9 z^5 $Failed^{-1} -4 \text{QuantumGroups$\grave{ }$a}^8 z^4+15 \text{QuantumGroups$\grave{ }$a}^6 z^4-30 \text{QuantumGroups$\grave{ }$a}^4 z^4-144 \text{QuantumGroups$\grave{ }$a}^2 z^4-74 z^4 $Failed^{-1} -23 z^4 $Failed^{-1} -146 z^4-\text{QuantumGroups$\grave{ }$a}^9 z^3+4 \text{QuantumGroups$\grave{ }$a}^7 z^3-7 \text{QuantumGroups$\grave{ }$a}^5 z^3-18 \text{QuantumGroups$\grave{ }$a}^3 z^3+9 \text{QuantumGroups$\grave{ }$a} z^3+20 z^3 $Failed^{-1} -2 z^3 $Failed^{-1} -7 z^3 $Failed^{-1} -3 \text{QuantumGroups$\grave{ }$a}^6 z^2+15 \text{QuantumGroups$\grave{ }$a}^4 z^2+52 \text{QuantumGroups$\grave{ }$a}^2 z^2+32 z^2 $Failed^{-1} +9 z^2 $Failed^{-1} +57 z^2-\text{QuantumGroups$\grave{ }$a}^7 z+2 \text{QuantumGroups$\grave{ }$a}^5 z+6 \text{QuantumGroups$\grave{ }$a}^3 z+3 \text{QuantumGroups$\grave{ }$a} z+2 z $Failed^{-1} +2 z $Failed^{-1} -3 \text{QuantumGroups$\grave{ }$a}^4-8 \text{QuantumGroups$\grave{ }$a}^2-6 $Failed^{-1} -2 $Failed^{-1} -8}

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