K14a906

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14a906

Polynomial invariants

Jones polynomial	Data:K14a906/Jones Polynomial
Alexander polynomial	$-3t^{4}+20t^{3}-61t^{2}+117t-145+117t^{-1}-61t^{-2}+20t^{-3}-3t^{-4}$
Conway polynomial	Data:K14a906/Conway Polynomial
Determinant	Data:K14a906/Determinant
Signature	Data:K14a906/Signature
HOMFLY-PT polynomial	$-z^{4}a^{8}-3z^{2}a^{8}-3a^{8}+3z^{6}a^{6}+11z^{4}a^{6}+16z^{2}a^{6}+7a^{6}-2z^{8}a^{4}-9z^{6}a^{4}-20z^{4}a^{4}-20z^{2}a^{4}-8a^{4}-z^{8}a^{2}+7z^{4}a^{2}+13z^{2}a^{2}+7a^{2}+2z^{6}+3z^{4}-2-z^{4}a^{-2}-z^{2}a^{-2}$
Kauffman polynomial	Failed to parse (syntax error): {\displaystyle 2 \text{QuantumGroups$\grave{ }$a}^5 z^{13}+2 \text{QuantumGroups$\grave{ }$a}^3 z^{13}+9 \text{QuantumGroups$\grave{ }$a}^6 z^{12}+18 \text{QuantumGroups$\grave{ }$a}^4 z^{12}+9 \text{QuantumGroups$\grave{ }$a}^2 z^{12}+15 \text{QuantumGroups$\grave{ }$a}^7 z^{11}+37 \text{QuantumGroups$\grave{ }$a}^5 z^{11}+39 \text{QuantumGroups$\grave{ }$a}^3 z^{11}+17 \text{QuantumGroups$\grave{ }$a} z^{11}+14 \text{QuantumGroups$\grave{ }$a}^8 z^{10}+11 \text{QuantumGroups$\grave{ }$a}^6 z^{10}+2 \text{QuantumGroups$\grave{ }$a}^4 z^{10}+23 \text{QuantumGroups$\grave{ }$a}^2 z^{10}+18 z^{10}+9 \text{QuantumGroups$\grave{ }$a}^9 z^9-27 \text{QuantumGroups$\grave{ }$a}^7 z^9-113 \text{QuantumGroups$\grave{ }$a}^5 z^9-109 \text{QuantumGroups$\grave{ }$a}^3 z^9-20 \text{QuantumGroups$\grave{ }$a} z^9+12 z^9 $Failed^{-1} +4 \text{QuantumGroups$\grave{ }$a}^{10} z^8-32 \text{QuantumGroups$\grave{ }$a}^8 z^8-82 \text{QuantumGroups$\grave{ }$a}^6 z^8-120 \text{QuantumGroups$\grave{ }$a}^4 z^8-117 \text{QuantumGroups$\grave{ }$a}^2 z^8+5 z^8 $Failed^{-1} -38 z^8+\text{QuantumGroups$\grave{ }$a}^{11} z^7-21 \text{QuantumGroups$\grave{ }$a}^9 z^7+14 \text{QuantumGroups$\grave{ }$a}^7 z^7+134 \text{QuantumGroups$\grave{ }$a}^5 z^7+105 \text{QuantumGroups$\grave{ }$a}^3 z^7-21 \text{QuantumGroups$\grave{ }$a} z^7-27 z^7 $Failed^{-1} +z^7 $Failed^{-1} -10 \text{QuantumGroups$\grave{ }$a}^{10} z^6+31 \text{QuantumGroups$\grave{ }$a}^8 z^6+137 \text{QuantumGroups$\grave{ }$a}^6 z^6+223 \text{QuantumGroups$\grave{ }$a}^4 z^6+165 \text{QuantumGroups$\grave{ }$a}^2 z^6-11 z^6 $Failed^{-1} +27 z^6-3 \text{QuantumGroups$\grave{ }$a}^{11} z^5+16 \text{QuantumGroups$\grave{ }$a}^9 z^5+3 \text{QuantumGroups$\grave{ }$a}^7 z^5-69 \text{QuantumGroups$\grave{ }$a}^5 z^5-35 \text{QuantumGroups$\grave{ }$a}^3 z^5+40 \text{QuantumGroups$\grave{ }$a} z^5+20 z^5 $Failed^{-1} -2 z^5 $Failed^{-1} +7 \text{QuantumGroups$\grave{ }$a}^{10} z^4-25 \text{QuantumGroups$\grave{ }$a}^8 z^4-108 \text{QuantumGroups$\grave{ }$a}^6 z^4-172 \text{QuantumGroups$\grave{ }$a}^4 z^4-119 \text{QuantumGroups$\grave{ }$a}^2 z^4+7 z^4 $Failed^{-1} -16 z^4+3 \text{QuantumGroups$\grave{ }$a}^{11} z^3-8 \text{QuantumGroups$\grave{ }$a}^9 z^3-10 \text{QuantumGroups$\grave{ }$a}^7 z^3+17 \text{QuantumGroups$\grave{ }$a}^5 z^3-25 \text{QuantumGroups$\grave{ }$a} z^3-8 z^3 $Failed^{-1} +z^3 $Failed^{-1} -\text{QuantumGroups$\grave{ }$a}^{10} z^2+12 \text{QuantumGroups$\grave{ }$a}^8 z^2+42 \text{QuantumGroups$\grave{ }$a}^6 z^2+64 \text{QuantumGroups$\grave{ }$a}^4 z^2+44 \text{QuantumGroups$\grave{ }$a}^2 z^2-z^2 $Failed^{-1} +8 z^2-\text{QuantumGroups$\grave{ }$a}^{11} z+3 \text{QuantumGroups$\grave{ }$a}^9 z+3 \text{QuantumGroups$\grave{ }$a}^7 z-2 \text{QuantumGroups$\grave{ }$a}^5 z+\text{QuantumGroups$\grave{ }$a}^3 z+4 \text{QuantumGroups$\grave{ }$a} z+2 z $Failed^{-1} -3 \text{QuantumGroups$\grave{ }$a}^8-7 \text{QuantumGroups$\grave{ }$a}^6-8 \text{QuantumGroups$\grave{ }$a}^4-7 \text{QuantumGroups$\grave{ }$a}^2-2}

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