K14a3100

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14a3100

Polynomial invariants

Jones polynomial	Data:K14a3100/Jones Polynomial
Alexander polynomial	$t^{5}-7t^{4}+22t^{3}-40t^{2}+56t-63+56t^{-1}-40t^{-2}+22t^{-3}-7t^{-4}+t^{-5}$
Conway polynomial	Data:K14a3100/Conway Polynomial
Determinant	Data:K14a3100/Determinant
Signature	Data:K14a3100/Signature
HOMFLY-PT polynomial	$-z^{4}a^{12}-3z^{2}a^{12}-2a^{12}+3z^{6}a^{10}+13z^{4}a^{10}+16z^{2}a^{10}+5a^{10}-3z^{8}a^{8}-17z^{6}a^{8}-33z^{4}a^{8}-26z^{2}a^{8}-7a^{8}+z^{10}a^{6}+7z^{8}a^{6}+20z^{6}a^{6}+30z^{4}a^{6}+22z^{2}a^{6}+5a^{6}-z^{8}a^{4}-5z^{6}a^{4}-7z^{4}a^{4}-2z^{2}a^{4}$
Kauffman polynomial	Failed to parse (syntax error): {\displaystyle z^5 \text{QuantumGroups$\grave{ }$a}^{17}-z^3 \text{QuantumGroups$\grave{ }$a}^{17}+4 z^6 \text{QuantumGroups$\grave{ }$a}^{16}-4 z^4 \text{QuantumGroups$\grave{ }$a}^{16}+9 z^7 \text{QuantumGroups$\grave{ }$a}^{15}-12 z^5 \text{QuantumGroups$\grave{ }$a}^{15}+6 z^3 \text{QuantumGroups$\grave{ }$a}^{15}-2 z \text{QuantumGroups$\grave{ }$a}^{15}+14 z^8 \text{QuantumGroups$\grave{ }$a}^{14}-23 z^6 \text{QuantumGroups$\grave{ }$a}^{14}+17 z^4 \text{QuantumGroups$\grave{ }$a}^{14}-5 z^2 \text{QuantumGroups$\grave{ }$a}^{14}+16 z^9 \text{QuantumGroups$\grave{ }$a}^{13}-27 z^7 \text{QuantumGroups$\grave{ }$a}^{13}+17 z^5 \text{QuantumGroups$\grave{ }$a}^{13}-3 z^3 \text{QuantumGroups$\grave{ }$a}^{13}+z \text{QuantumGroups$\grave{ }$a}^{13}+14 z^{10} \text{QuantumGroups$\grave{ }$a}^{12}-20 z^8 \text{QuantumGroups$\grave{ }$a}^{12}+z^6 \text{QuantumGroups$\grave{ }$a}^{12}+6 z^4 \text{QuantumGroups$\grave{ }$a}^{12}+3 z^2 \text{QuantumGroups$\grave{ }$a}^{12}-2 \text{QuantumGroups$\grave{ }$a}^{12}+9 z^{11} \text{QuantumGroups$\grave{ }$a}^{11}-2 z^9 \text{QuantumGroups$\grave{ }$a}^{11}-39 z^7 \text{QuantumGroups$\grave{ }$a}^{11}+48 z^5 \text{QuantumGroups$\grave{ }$a}^{11}-20 z^3 \text{QuantumGroups$\grave{ }$a}^{11}+2 z \text{QuantumGroups$\grave{ }$a}^{11}+4 z^{12} \text{QuantumGroups$\grave{ }$a}^{10}+13 z^{10} \text{QuantumGroups$\grave{ }$a}^{10}-69 z^8 \text{QuantumGroups$\grave{ }$a}^{10}+90 z^6 \text{QuantumGroups$\grave{ }$a}^{10}-62 z^4 \text{QuantumGroups$\grave{ }$a}^{10}+24 z^2 \text{QuantumGroups$\grave{ }$a}^{10}-5 \text{QuantumGroups$\grave{ }$a}^{10}+z^{13} \text{QuantumGroups$\grave{ }$a}^9+15 z^{11} \text{QuantumGroups$\grave{ }$a}^9-54 z^9 \text{QuantumGroups$\grave{ }$a}^9+52 z^7 \text{QuantumGroups$\grave{ }$a}^9-22 z^5 \text{QuantumGroups$\grave{ }$a}^9+5 z^3 \text{QuantumGroups$\grave{ }$a}^9-z \text{QuantumGroups$\grave{ }$a}^9+8 z^{12} \text{QuantumGroups$\grave{ }$a}^8-13 z^{10} \text{QuantumGroups$\grave{ }$a}^8-40 z^8 \text{QuantumGroups$\grave{ }$a}^8+107 z^6 \text{QuantumGroups$\grave{ }$a}^8-101 z^4 \text{QuantumGroups$\grave{ }$a}^8+44 z^2 \text{QuantumGroups$\grave{ }$a}^8-7 \text{QuantumGroups$\grave{ }$a}^8+z^{13} \text{QuantumGroups$\grave{ }$a}^7+12 z^{11} \text{QuantumGroups$\grave{ }$a}^7-67 z^9 \text{QuantumGroups$\grave{ }$a}^7+109 z^7 \text{QuantumGroups$\grave{ }$a}^7-78 z^5 \text{QuantumGroups$\grave{ }$a}^7+25 z^3 \text{QuantumGroups$\grave{ }$a}^7-z \text{QuantumGroups$\grave{ }$a}^7+4 z^{12} \text{QuantumGroups$\grave{ }$a}^6-8 z^{10} \text{QuantumGroups$\grave{ }$a}^6-27 z^8 \text{QuantumGroups$\grave{ }$a}^6+85 z^6 \text{QuantumGroups$\grave{ }$a}^6-81 z^4 \text{QuantumGroups$\grave{ }$a}^6+33 z^2 \text{QuantumGroups$\grave{ }$a}^6-5 \text{QuantumGroups$\grave{ }$a}^6+6 z^{11} \text{QuantumGroups$\grave{ }$a}^5-30 z^9 \text{QuantumGroups$\grave{ }$a}^5+49 z^7 \text{QuantumGroups$\grave{ }$a}^5-31 z^5 \text{QuantumGroups$\grave{ }$a}^5+8 z^3 \text{QuantumGroups$\grave{ }$a}^5-z \text{QuantumGroups$\grave{ }$a}^5+4 z^{10} \text{QuantumGroups$\grave{ }$a}^4-22 z^8 \text{QuantumGroups$\grave{ }$a}^4+40 z^6 \text{QuantumGroups$\grave{ }$a}^4-27 z^4 \text{QuantumGroups$\grave{ }$a}^4+5 z^2 \text{QuantumGroups$\grave{ }$a}^4+z^9 \text{QuantumGroups$\grave{ }$a}^3-5 z^7 \text{QuantumGroups$\grave{ }$a}^3+7 z^5 \text{QuantumGroups$\grave{ }$a}^3-2 z^3 \text{QuantumGroups$\grave{ }$a}^3}

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