K14n11075

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14n11075

Polynomial invariants

Jones polynomial	Data:K14n11075/Jones Polynomial
Alexander polynomial	$t^{4}-9t^{3}+35t^{2}-68t+83-68t^{-1}+35t^{-2}-9t^{-3}+t^{-4}$
Conway polynomial	Data:K14n11075/Conway Polynomial
Determinant	Data:K14n11075/Determinant
Signature	Data:K14n11075/Signature
HOMFLY-PT polynomial	$-z^{2}a^{12}-a^{12}+3z^{4}a^{10}+4z^{2}a^{10}-3z^{6}a^{8}-6z^{4}a^{8}-z^{2}a^{8}+2a^{8}+z^{8}a^{6}+3z^{6}a^{6}+4z^{4}a^{6}+z^{2}a^{6}-2a^{6}-z^{6}a^{4}+4z^{2}a^{4}+2a^{4}$
Kauffman polynomial	Failed to parse (syntax error): {\displaystyle z^7 \text{QuantumGroups$\grave{ }$a}^{15}-3 z^5 \text{QuantumGroups$\grave{ }$a}^{15}+3 z^3 \text{QuantumGroups$\grave{ }$a}^{15}-z \text{QuantumGroups$\grave{ }$a}^{15}+4 z^8 \text{QuantumGroups$\grave{ }$a}^{14}-10 z^6 \text{QuantumGroups$\grave{ }$a}^{14}+8 z^4 \text{QuantumGroups$\grave{ }$a}^{14}-2 z^2 \text{QuantumGroups$\grave{ }$a}^{14}+9 z^9 \text{QuantumGroups$\grave{ }$a}^{13}-23 z^7 \text{QuantumGroups$\grave{ }$a}^{13}+22 z^5 \text{QuantumGroups$\grave{ }$a}^{13}-13 z^3 \text{QuantumGroups$\grave{ }$a}^{13}+4 z \text{QuantumGroups$\grave{ }$a}^{13}+11 z^{10} \text{QuantumGroups$\grave{ }$a}^{12}-21 z^8 \text{QuantumGroups$\grave{ }$a}^{12}+8 z^6 \text{QuantumGroups$\grave{ }$a}^{12}-3 z^4 \text{QuantumGroups$\grave{ }$a}^{12}+3 z^2 \text{QuantumGroups$\grave{ }$a}^{12}-\text{QuantumGroups$\grave{ }$a}^{12}+7 z^{11} \text{QuantumGroups$\grave{ }$a}^{11}+5 z^9 \text{QuantumGroups$\grave{ }$a}^{11}-46 z^7 \text{QuantumGroups$\grave{ }$a}^{11}+48 z^5 \text{QuantumGroups$\grave{ }$a}^{11}-23 z^3 \text{QuantumGroups$\grave{ }$a}^{11}+4 z \text{QuantumGroups$\grave{ }$a}^{11}+2 z^{12} \text{QuantumGroups$\grave{ }$a}^{10}+20 z^{10} \text{QuantumGroups$\grave{ }$a}^{10}-48 z^8 \text{QuantumGroups$\grave{ }$a}^{10}+21 z^6 \text{QuantumGroups$\grave{ }$a}^{10}+6 z^4 \text{QuantumGroups$\grave{ }$a}^{10}-5 z^2 \text{QuantumGroups$\grave{ }$a}^{10}+13 z^{11} \text{QuantumGroups$\grave{ }$a}^9-9 z^9 \text{QuantumGroups$\grave{ }$a}^9-22 z^7 \text{QuantumGroups$\grave{ }$a}^9+17 z^5 \text{QuantumGroups$\grave{ }$a}^9+2 z^3 \text{QuantumGroups$\grave{ }$a}^9-z \text{QuantumGroups$\grave{ }$a}^9+2 z^{12} \text{QuantumGroups$\grave{ }$a}^8+15 z^{10} \text{QuantumGroups$\grave{ }$a}^8-27 z^8 \text{QuantumGroups$\grave{ }$a}^8+4 z^6 \text{QuantumGroups$\grave{ }$a}^8+18 z^4 \text{QuantumGroups$\grave{ }$a}^8-11 z^2 \text{QuantumGroups$\grave{ }$a}^8+2 \text{QuantumGroups$\grave{ }$a}^8+6 z^{11} \text{QuantumGroups$\grave{ }$a}^7-3 z^9 \text{QuantumGroups$\grave{ }$a}^7+9 z^7 \text{QuantumGroups$\grave{ }$a}^7-18 z^5 \text{QuantumGroups$\grave{ }$a}^7+11 z^3 \text{QuantumGroups$\grave{ }$a}^7+6 z^{10} \text{QuantumGroups$\grave{ }$a}^6-4 z^8 \text{QuantumGroups$\grave{ }$a}^6+8 z^6 \text{QuantumGroups$\grave{ }$a}^6-3 z^4 \text{QuantumGroups$\grave{ }$a}^6-6 z^2 \text{QuantumGroups$\grave{ }$a}^6+2 \text{QuantumGroups$\grave{ }$a}^6+2 z^9 \text{QuantumGroups$\grave{ }$a}^5+9 z^7 \text{QuantumGroups$\grave{ }$a}^5-11 z^5 \text{QuantumGroups$\grave{ }$a}^5+2 z^3 \text{QuantumGroups$\grave{ }$a}^5+7 z^6 \text{QuantumGroups$\grave{ }$a}^4-4 z^4 \text{QuantumGroups$\grave{ }$a}^4-5 z^2 \text{QuantumGroups$\grave{ }$a}^4+2 \text{QuantumGroups$\grave{ }$a}^4+z^5 \text{QuantumGroups$\grave{ }$a}^3}

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