K14a1032

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14a1032

Polynomial invariants

Jones polynomial	Data:K14a1032/Jones Polynomial
Alexander polynomial	$-3t^{4}+22t^{3}-72t^{2}+142t-177+142t^{-1}-72t^{-2}+22t^{-3}-3t^{-4}$
Conway polynomial	Data:K14a1032/Conway Polynomial
Determinant	Data:K14a1032/Determinant
Signature	Data:K14a1032/Signature
HOMFLY-PT polynomial	$-z^{4}a^{8}-2z^{2}a^{8}-2a^{8}+3z^{6}a^{6}+8z^{4}a^{6}+10z^{2}a^{6}+4a^{6}-2z^{8}a^{4}-7z^{6}a^{4}-13z^{4}a^{4}-11z^{2}a^{4}-4a^{4}-z^{8}a^{2}+4z^{4}a^{2}+7z^{2}a^{2}+4a^{2}+2z^{6}+3z^{4}+z^{2}-1-z^{4}a^{-2}-z^{2}a^{-2}$
Kauffman polynomial	Failed to parse (syntax error): {\displaystyle 3 \text{QuantumGroups$\grave{ }$a}^5 z^{13}+3 \text{QuantumGroups$\grave{ }$a}^3 z^{13}+13 \text{QuantumGroups$\grave{ }$a}^6 z^{12}+25 \text{QuantumGroups$\grave{ }$a}^4 z^{12}+12 \text{QuantumGroups$\grave{ }$a}^2 z^{12}+23 \text{QuantumGroups$\grave{ }$a}^7 z^{11}+51 \text{QuantumGroups$\grave{ }$a}^5 z^{11}+48 \text{QuantumGroups$\grave{ }$a}^3 z^{11}+20 \text{QuantumGroups$\grave{ }$a} z^{11}+23 \text{QuantumGroups$\grave{ }$a}^8 z^{10}+26 \text{QuantumGroups$\grave{ }$a}^6 z^{10}+5 \text{QuantumGroups$\grave{ }$a}^4 z^{10}+21 \text{QuantumGroups$\grave{ }$a}^2 z^{10}+19 z^{10}+14 \text{QuantumGroups$\grave{ }$a}^9 z^9-26 \text{QuantumGroups$\grave{ }$a}^7 z^9-124 \text{QuantumGroups$\grave{ }$a}^5 z^9-123 \text{QuantumGroups$\grave{ }$a}^3 z^9-27 \text{QuantumGroups$\grave{ }$a} z^9+12 z^9 $Failed^{-1} +5 \text{QuantumGroups$\grave{ }$a}^{10} z^8-47 \text{QuantumGroups$\grave{ }$a}^8 z^8-125 \text{QuantumGroups$\grave{ }$a}^6 z^8-143 \text{QuantumGroups$\grave{ }$a}^4 z^8-114 \text{QuantumGroups$\grave{ }$a}^2 z^8+5 z^8 $Failed^{-1} -39 z^8+\text{QuantumGroups$\grave{ }$a}^{11} z^7-30 \text{QuantumGroups$\grave{ }$a}^9 z^7-25 \text{QuantumGroups$\grave{ }$a}^7 z^7+84 \text{QuantumGroups$\grave{ }$a}^5 z^7+98 \text{QuantumGroups$\grave{ }$a}^3 z^7-7 \text{QuantumGroups$\grave{ }$a} z^7-26 z^7 $Failed^{-1} +z^7 $Failed^{-1} -9 \text{QuantumGroups$\grave{ }$a}^{10} z^6+38 \text{QuantumGroups$\grave{ }$a}^8 z^6+144 \text{QuantumGroups$\grave{ }$a}^6 z^6+210 \text{QuantumGroups$\grave{ }$a}^4 z^6+154 \text{QuantumGroups$\grave{ }$a}^2 z^6-11 z^6 $Failed^{-1} +30 z^6-2 \text{QuantumGroups$\grave{ }$a}^{11} z^5+28 \text{QuantumGroups$\grave{ }$a}^9 z^5+49 \text{QuantumGroups$\grave{ }$a}^7 z^5-7 \text{QuantumGroups$\grave{ }$a}^5 z^5-16 \text{QuantumGroups$\grave{ }$a}^3 z^5+31 \text{QuantumGroups$\grave{ }$a} z^5+19 z^5 $Failed^{-1} -2 z^5 $Failed^{-1} +5 \text{QuantumGroups$\grave{ }$a}^{10} z^4-22 \text{QuantumGroups$\grave{ }$a}^8 z^4-83 \text{QuantumGroups$\grave{ }$a}^6 z^4-128 \text{QuantumGroups$\grave{ }$a}^4 z^4-94 \text{QuantumGroups$\grave{ }$a}^2 z^4+7 z^4 $Failed^{-1} -15 z^4+\text{QuantumGroups$\grave{ }$a}^{11} z^3-17 \text{QuantumGroups$\grave{ }$a}^9 z^3-31 \text{QuantumGroups$\grave{ }$a}^7 z^3-8 \text{QuantumGroups$\grave{ }$a}^5 z^3-6 \text{QuantumGroups$\grave{ }$a}^3 z^3-19 \text{QuantumGroups$\grave{ }$a} z^3-7 z^3 $Failed^{-1} +z^3 $Failed^{-1} -\text{QuantumGroups$\grave{ }$a}^{10} z^2+8 \text{QuantumGroups$\grave{ }$a}^8 z^2+26 \text{QuantumGroups$\grave{ }$a}^6 z^2+39 \text{QuantumGroups$\grave{ }$a}^4 z^2+28 \text{QuantumGroups$\grave{ }$a}^2 z^2-z^2 $Failed^{-1} +5 z^2+5 \text{QuantumGroups$\grave{ }$a}^9 z+6 \text{QuantumGroups$\grave{ }$a}^7 z+\text{QuantumGroups$\grave{ }$a}^5 z+\text{QuantumGroups$\grave{ }$a}^3 z+2 \text{QuantumGroups$\grave{ }$a} z+z $Failed^{-1} -2 \text{QuantumGroups$\grave{ }$a}^8-4 \text{QuantumGroups$\grave{ }$a}^6-4 \text{QuantumGroups$\grave{ }$a}^4-4 \text{QuantumGroups$\grave{ }$a}^2-1}

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