K14a2610

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14a2610

Polynomial invariants

Jones polynomial	Data:K14a2610/Jones Polynomial
Alexander polynomial	$t^{5}-8t^{4}+26t^{3}-46t^{2}+57t-59+57t^{-1}-46t^{-2}+26t^{-3}-8t^{-4}+t^{-5}$
Conway polynomial	Data:K14a2610/Conway Polynomial
Determinant	Data:K14a2610/Determinant
Signature	Data:K14a2610/Signature
HOMFLY-PT polynomial	$-z^{4}a^{12}-3z^{2}a^{12}-a^{12}+3z^{6}a^{10}+12z^{4}a^{10}+11z^{2}a^{10}+2a^{10}-3z^{8}a^{8}-15z^{6}a^{8}-22z^{4}a^{8}-11z^{2}a^{8}-a^{8}+z^{10}a^{6}+6z^{8}a^{6}+13z^{6}a^{6}+13z^{4}a^{6}+3z^{2}a^{6}-2a^{6}-z^{8}a^{4}-4z^{6}a^{4}-2z^{4}a^{4}+4z^{2}a^{4}+3a^{4}$
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}+z^2 \text{QuantumGroups$\grave{ }$a}^{16}+9 z^7 \text{QuantumGroups$\grave{ }$a}^{15}-11 z^5 \text{QuantumGroups$\grave{ }$a}^{15}+6 z^3 \text{QuantumGroups$\grave{ }$a}^{15}-z \text{QuantumGroups$\grave{ }$a}^{15}+14 z^8 \text{QuantumGroups$\grave{ }$a}^{14}-20 z^6 \text{QuantumGroups$\grave{ }$a}^{14}+12 z^4 \text{QuantumGroups$\grave{ }$a}^{14}-2 z^2 \text{QuantumGroups$\grave{ }$a}^{14}+16 z^9 \text{QuantumGroups$\grave{ }$a}^{13}-23 z^7 \text{QuantumGroups$\grave{ }$a}^{13}+9 z^5 \text{QuantumGroups$\grave{ }$a}^{13}+15 z^{10} \text{QuantumGroups$\grave{ }$a}^{12}-23 z^8 \text{QuantumGroups$\grave{ }$a}^{12}+8 z^6 \text{QuantumGroups$\grave{ }$a}^{12}-5 z^4 \text{QuantumGroups$\grave{ }$a}^{12}+4 z^2 \text{QuantumGroups$\grave{ }$a}^{12}-\text{QuantumGroups$\grave{ }$a}^{12}+12 z^{11} \text{QuantumGroups$\grave{ }$a}^{11}-20 z^9 \text{QuantumGroups$\grave{ }$a}^{11}+4 z^7 \text{QuantumGroups$\grave{ }$a}^{11}-z^5 \text{QuantumGroups$\grave{ }$a}^{11}-z^3 \text{QuantumGroups$\grave{ }$a}^{11}+7 z^{12} \text{QuantumGroups$\grave{ }$a}^{10}-3 z^{10} \text{QuantumGroups$\grave{ }$a}^{10}-42 z^8 \text{QuantumGroups$\grave{ }$a}^{10}+72 z^6 \text{QuantumGroups$\grave{ }$a}^{10}-58 z^4 \text{QuantumGroups$\grave{ }$a}^{10}+20 z^2 \text{QuantumGroups$\grave{ }$a}^{10}-2 \text{QuantumGroups$\grave{ }$a}^{10}+2 z^{13} \text{QuantumGroups$\grave{ }$a}^9+17 z^{11} \text{QuantumGroups$\grave{ }$a}^9-91 z^9 \text{QuantumGroups$\grave{ }$a}^9+140 z^7 \text{QuantumGroups$\grave{ }$a}^9-99 z^5 \text{QuantumGroups$\grave{ }$a}^9+31 z^3 \text{QuantumGroups$\grave{ }$a}^9-2 z \text{QuantumGroups$\grave{ }$a}^9+14 z^{12} \text{QuantumGroups$\grave{ }$a}^8-46 z^{10} \text{QuantumGroups$\grave{ }$a}^8+14 z^8 \text{QuantumGroups$\grave{ }$a}^8+68 z^6 \text{QuantumGroups$\grave{ }$a}^8-68 z^4 \text{QuantumGroups$\grave{ }$a}^8+21 z^2 \text{QuantumGroups$\grave{ }$a}^8-\text{QuantumGroups$\grave{ }$a}^8+2 z^{13} \text{QuantumGroups$\grave{ }$a}^7+14 z^{11} \text{QuantumGroups$\grave{ }$a}^7-102 z^9 \text{QuantumGroups$\grave{ }$a}^7+181 z^7 \text{QuantumGroups$\grave{ }$a}^7-124 z^5 \text{QuantumGroups$\grave{ }$a}^7+35 z^3 \text{QuantumGroups$\grave{ }$a}^7-3 z \text{QuantumGroups$\grave{ }$a}^7+7 z^{12} \text{QuantumGroups$\grave{ }$a}^6-23 z^{10} \text{QuantumGroups$\grave{ }$a}^6-6 z^8 \text{QuantumGroups$\grave{ }$a}^6+64 z^6 \text{QuantumGroups$\grave{ }$a}^6-46 z^4 \text{QuantumGroups$\grave{ }$a}^6+4 z^2 \text{QuantumGroups$\grave{ }$a}^6+2 \text{QuantumGroups$\grave{ }$a}^6+9 z^{11} \text{QuantumGroups$\grave{ }$a}^5-46 z^9 \text{QuantumGroups$\grave{ }$a}^5+73 z^7 \text{QuantumGroups$\grave{ }$a}^5-44 z^5 \text{QuantumGroups$\grave{ }$a}^5+10 z^3 \text{QuantumGroups$\grave{ }$a}^5-2 z \text{QuantumGroups$\grave{ }$a}^5+5 z^{10} \text{QuantumGroups$\grave{ }$a}^4-25 z^8 \text{QuantumGroups$\grave{ }$a}^4+36 z^6 \text{QuantumGroups$\grave{ }$a}^4-15 z^4 \text{QuantumGroups$\grave{ }$a}^4-4 z^2 \text{QuantumGroups$\grave{ }$a}^4+3 \text{QuantumGroups$\grave{ }$a}^4+z^9 \text{QuantumGroups$\grave{ }$a}^3-4 z^7 \text{QuantumGroups$\grave{ }$a}^3+3 z^5 \text{QuantumGroups$\grave{ }$a}^3}

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