K12a103

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K12a103

Polynomial invariants

Jones polynomial	Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle q^9-5 q^8+11 q^7-19 q^6+28 q^5-33 q^4+35 q^3-32 q^2+25 q-17+9 q^{-1} -3 q^{-2} + q^{-3} }
Alexander polynomial	Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle 3 t^3-20 t^2+52 t-69+52 t^{-1} -20 t^{-2} +3 t^{-3} }
Conway polynomial	Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle 3 z^6-2 z^4-z^2+1}
Determinant	219
Signature	2
HOMFLY-PT polynomial	Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle z^6 a^{-2} +2 z^6 a^{-4} -2 z^4 a^{-2} +5 z^4 a^{-4} -3 z^4 a^{-6} -2 z^4+a^2 z^2-7 z^2 a^{-2} +9 z^2 a^{-4} -4 z^2 a^{-6} +z^2 a^{-8} -z^2+a^2-5 a^{-2} +6 a^{-4} -2 a^{-6} +1}
Kauffman polynomial	Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle z^{11} a^{-3} +z^{11} a^{-5} +5 z^{10} a^{-2} +10 z^{10} a^{-4} +5 z^{10} a^{-6} +8 z^9 a^{-1} +23 z^9 a^{-3} +25 z^9 a^{-5} +10 z^9 a^{-7} +8 z^8 a^{-2} +11 z^8 a^{-4} +19 z^8 a^{-6} +10 z^8 a^{-8} +6 z^8+3 a z^7-14 z^7 a^{-1} -57 z^7 a^{-3} -54 z^7 a^{-5} -9 z^7 a^{-7} +5 z^7 a^{-9} +a^2 z^6-39 z^6 a^{-2} -75 z^6 a^{-4} -69 z^6 a^{-6} -20 z^6 a^{-8} +z^6 a^{-10} -11 z^6-6 a z^5+15 z^5 a^{-1} +57 z^5 a^{-3} +32 z^5 a^{-5} -13 z^5 a^{-7} -9 z^5 a^{-9} -3 a^2 z^4+52 z^4 a^{-2} +93 z^4 a^{-4} +66 z^4 a^{-6} +13 z^4 a^{-8} -z^4 a^{-10} +8 z^4+3 a z^3-14 z^3 a^{-1} -30 z^3 a^{-3} -5 z^3 a^{-5} +12 z^3 a^{-7} +4 z^3 a^{-9} +3 a^2 z^2-31 z^2 a^{-2} -44 z^2 a^{-4} -24 z^2 a^{-6} -4 z^2 a^{-8} -4 z^2+5 z a^{-1} +8 z a^{-3} +2 z a^{-5} -z a^{-7} -a^2+5 a^{-2} +6 a^{-4} +2 a^{-6} +1}

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