K14n10964

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14n10964

Polynomial invariants

Jones polynomial	Data:K14n10964/Jones Polynomial
Alexander polynomial	$3t^{3}-13t^{2}+28t-35+28t^{-1}-13t^{-2}+3t^{-3}$
Conway polynomial	Data:K14n10964/Conway Polynomial
Determinant	Data:K14n10964/Determinant
Signature	Data:K14n10964/Signature
HOMFLY-PT polynomial	$z^{8}a^{-2}-z^{8}a^{-4}+8z^{6}a^{-2}-6z^{6}a^{-4}+2z^{6}a^{-6}-z^{6}+21z^{4}a^{-2}-16z^{4}a^{-4}+6z^{4}a^{-6}-z^{4}a^{-8}-5z^{4}+25z^{2}a^{-2}-19z^{2}a^{-4}+6z^{2}a^{-6}-z^{2}a^{-8}-8z^{2}+12a^{-2}-9a^{-4}+2a^{-6}-4$
Kauffman polynomial	Failed to parse (syntax error): {\displaystyle z^{12} $Failed^{-1} +z^{12} $Failed^{-1} +z^{11} $Failed^{-1} +2 z^{11} $Failed^{-1} +6 z^{11} $Failed^{-1} +5 z^{11} $Failed^{-1} +3 z^{10} $Failed^{-1} +9 z^{10} $Failed^{-1} +10 z^{10} $Failed^{-1} +2 z^{10}+\text{QuantumGroups$\grave{ }$a} z^9-5 z^9 $Failed^{-1} -14 z^9 $Failed^{-1} -25 z^9 $Failed^{-1} -7 z^9 $Failed^{-1} +10 z^9 $Failed^{-1} -29 z^8 $Failed^{-1} -31 z^8 $Failed^{-1} -53 z^8 $Failed^{-1} -32 z^8 $Failed^{-1} +5 z^8 $Failed^{-1} -14 z^8-7 \text{QuantumGroups$\grave{ }$a} z^7-5 z^7 $Failed^{-1} +13 z^7 $Failed^{-1} +16 z^7 $Failed^{-1} -29 z^7 $Failed^{-1} -33 z^7 $Failed^{-1} +z^7 $Failed^{-1} +72 z^6 $Failed^{-1} +85 z^6 $Failed^{-1} +76 z^6 $Failed^{-1} +19 z^6 $Failed^{-1} -14 z^6 $Failed^{-1} +30 z^6+16 \text{QuantumGroups$\grave{ }$a} z^5+36 z^5 $Failed^{-1} +36 z^5 $Failed^{-1} +40 z^5 $Failed^{-1} +50 z^5 $Failed^{-1} +24 z^5 $Failed^{-1} -2 z^5 $Failed^{-1} -71 z^4 $Failed^{-1} -73 z^4 $Failed^{-1} -37 z^4 $Failed^{-1} -z^4 $Failed^{-1} +6 z^4 $Failed^{-1} -28 z^4-15 \text{QuantumGroups$\grave{ }$a} z^3-41 z^3 $Failed^{-1} -55 z^3 $Failed^{-1} -48 z^3 $Failed^{-1} -25 z^3 $Failed^{-1} -6 z^3 $Failed^{-1} +37 z^2 $Failed^{-1} +31 z^2 $Failed^{-1} +8 z^2 $Failed^{-1} +14 z^2+5 \text{QuantumGroups$\grave{ }$a} z+15 z $Failed^{-1} +22 z $Failed^{-1} +16 z $Failed^{-1} +4 z $Failed^{-1} -12 $Failed^{-1} -9 $Failed^{-1} -2 $Failed^{-1} -4}

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