K14n13141
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Polynomial invariants
| Jones polynomial | Data:K14n13141/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^4+8 t^3-24 t^2+44 t-53+44 t^{-1} -24 t^{-2} +8 t^{-3} - t^{-4} }[/math] |
| Conway polynomial | Data:K14n13141/Conway Polynomial |
| Determinant | Data:K14n13141/Determinant |
| Signature | Data:K14n13141/Signature |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^8 a^{-4} +3 z^6 a^{-2} -4 z^6 a^{-4} +z^6 a^{-6} +11 z^4 a^{-2} -7 z^4 a^{-4} +2 z^4 a^{-6} -2 z^4+15 z^2 a^{-2} -7 z^2 a^{-4} +z^2 a^{-6} -5 z^2+8 a^{-2} -4 a^{-4} -3 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{12} $Failed^{-1} +z^{12} $Failed^{-1} +z^{11} $Failed^{-1} +6 z^{11} $Failed^{-1} +5 z^{11} $Failed^{-1} -z^{10} $Failed^{-1} +10 z^{10} $Failed^{-1} +11 z^{10} $Failed^{-1} -4 z^9 $Failed^{-1} -18 z^9 $Failed^{-1} +14 z^9 $Failed^{-1} -z^8 $Failed^{-1} -32 z^8 $Failed^{-1} -19 z^8 $Failed^{-1} +11 z^8 $Failed^{-1} +z^8+14 z^7 $Failed^{-1} +33 z^7 $Failed^{-1} -14 z^7 $Failed^{-1} -28 z^7 $Failed^{-1} +5 z^7 $Failed^{-1} +23 z^6 $Failed^{-1} +50 z^6 $Failed^{-1} +8 z^6 $Failed^{-1} -21 z^6 $Failed^{-1} +z^6 $Failed^{-1} +3 z^6+2 \text{QuantumGroups$\grave{ }$a} z^5-9 z^5 $Failed^{-1} -16 z^5 $Failed^{-1} +14 z^5 $Failed^{-1} +11 z^5 $Failed^{-1} -8 z^5 $Failed^{-1} -35 z^4 $Failed^{-1} -37 z^4 $Failed^{-1} -4 z^4 $Failed^{-1} +7 z^4 $Failed^{-1} -z^4 $Failed^{-1} -10 z^4-5 \text{QuantumGroups$\grave{ }$a} z^3-9 z^3 $Failed^{-1} -7 z^3 $Failed^{-1} -4 z^3 $Failed^{-1} +z^3 $Failed^{-1} +2 z^3 $Failed^{-1} +22 z^2 $Failed^{-1} +16 z^2 $Failed^{-1} +2 z^2 $Failed^{-1} +8 z^2+3 \text{QuantumGroups$\grave{ }$a} z+7 z $Failed^{-1} +7 z $Failed^{-1} +z $Failed^{-1} -2 z $Failed^{-1} -8 $Failed^{-1} -4 $Failed^{-1} -3 }[/math] |
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